Subject: [Boost-commit] svn:boost r54213 - in sandbox/mp_math: boost/mp_math boost/mp_math/integer boost/mp_math/integer/detail boost/mp_math/integer/detail/asm boost/mp_math/integer/detail/base boost/mp_math/integer/detail/base/asm boost/mp_math/integer/detail/base/asm/asm boost/mp_math/integer/detail/base/asm/asm/x86 boost/mp_math/mp_int libs/mp_math libs/mp_math/examples libs/mp_math/test libs/mp_math/test/unbounded libs/mp_math/test/unbounded/signed libs/mp_math/test/unbounded/unsigned libs/mp_math/tools/benchmark
From: baraclese_at_[hidden]
Date: 2009-06-22 14:57:36
Author: baraclese
Date: 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
New Revision: 54213
URL: http://svn.boost.org/trac/boost/changeset/54213
Log:
* this is a complete rewrite which changes and renames the mp_int class template to integer
* the integer class template now acts as a frontend for different backends
* backends: GMP, libtommath and the native Boost one
* experimental code for unsigned unbounded integers, known to be broken
* increased test coverage
* moving away from the libtommath code for the native Boost implementation because it does not lend itself to assembly optimizations
Added:
sandbox/mp_math/boost/mp_math/gmp.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/
- copied from r54148, /sandbox/mp_math/boost/mp_math/mp_int/
sandbox/mp_math/boost/mp_math/integer.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int.hpp
sandbox/mp_math/boost/mp_math/integer/contexts.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/modpow_ctx.hpp
sandbox/mp_math/boost/mp_math/integer/detail/base/
sandbox/mp_math/boost/mp_math/integer/detail/base/adder.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/asm/
sandbox/mp_math/boost/mp_math/integer/detail/base/asm/asm/
- copied from r54148, /sandbox/mp_math/boost/mp_math/mp_int/detail/asm/
sandbox/mp_math/boost/mp_math/integer/detail/base/bitmanipulator.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/bitwise_ops.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/divider.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/from_integral.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/multiplier.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/primitive_ops.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/detail/primitive_ops.hpp
sandbox/mp_math/boost/mp_math/integer/detail/base/shifter.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/to_integral.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_int.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_int_fwd.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_int_integral.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_uint.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_uint_fwd.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_uint_integral.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/divider.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/detail/div.hpp
sandbox/mp_math/boost/mp_math/integer/detail/gcd.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/gcd.hpp
sandbox/mp_math/boost/mp_math/integer/detail/jacobi.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/jacobi.hpp
sandbox/mp_math/boost/mp_math/integer/detail/lcm.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/lcm.hpp
sandbox/mp_math/boost/mp_math/integer/detail/multiplier.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/mul.hpp
sandbox/mp_math/boost/mp_math/integer/detail/power.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/pow.hpp
sandbox/mp_math/boost/mp_math/integer/detail/root.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/root.hpp
sandbox/mp_math/boost/mp_math/integer/detail/string_conversion.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/string_conversion.hpp
sandbox/mp_math/boost/mp_math/integer/detail/unbounded_int_integral.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/detail/unbounded_uint_integral.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/gmp_integer.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/integer.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/mp_int.hpp
sandbox/mp_math/boost/mp_math/integer/integer_fwd.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/mp_int_fwd.hpp
sandbox/mp_math/boost/mp_math/integer/libtom_integer.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/unbounded.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/unbounded_int.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer/unbounded_traits.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int/traits.hpp
sandbox/mp_math/boost/mp_math/integer/unbounded_uint.hpp (contents, props changed)
sandbox/mp_math/boost/mp_math/integer_serialization.hpp
- copied, changed from r54148, /sandbox/mp_math/boost/mp_math/mp_int_serialization.hpp
sandbox/mp_math/boost/mp_math/libtom.hpp (contents, props changed)
sandbox/mp_math/libs/mp_math/examples/
sandbox/mp_math/libs/mp_math/examples/answer.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/examples/drops_in_the_ocean.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/examples/gmp.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/examples/jamfile.v2 (contents, props changed)
sandbox/mp_math/libs/mp_math/test/jamfile.v2 (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/
sandbox/mp_math/libs/mp_math/test/unbounded/signed/
sandbox/mp_math/libs/mp_math/test/unbounded/signed/abs.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/signed/add.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/add.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/assign.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/signed/bitmanipulation.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/bitmanipulation.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/bitwise_ops.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/bitwise_ops.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/bool_conversion.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/bool_conversion.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/cmp.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/cmp.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/ctors.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/ctors.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/div.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/div.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/gcd.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/gcd.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/integral_ops.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/integral_ops.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/jacobi.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/jacobi.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/jamfile.v2
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/jamfile.v2
sandbox/mp_math/libs/mp_math/test/unbounded/signed/lcm.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/lcm.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/modinv.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/modinv.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/modpow.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/modpow.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/mul.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/mul.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/numeric_limits.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/signed/pow.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/pow.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/prerequisite.hpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/prerequisite.hpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/prime.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/prime.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/random.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/random.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/root.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/root.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/serialization.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/serialization.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/shift.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/shift.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/sqr.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/sqr.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/stream_io.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/stream_io.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/string_ops.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/string_ops.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/sub.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/sub.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/swap.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/signed/to_integral.cpp
- copied, changed from r54148, /sandbox/mp_math/libs/mp_math/test/to_integral.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/signed/traits.cpp
- copied unchanged from r54148, /sandbox/mp_math/libs/mp_math/test/traits.cpp
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/abs.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/add.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/bitmanipulation.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/bitwise_ops.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/bool_conversion.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/cmp.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/ctors.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/div.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/gcd.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/integral_ops.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/jacobi.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/jamfile.v2 (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/lcm.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/modinv.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/mul.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/numeric_limits.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/pow.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/prerequisite.hpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/root.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/serialization.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/shift.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/sqr.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/stream_io.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/string_ops.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/sub.cpp (contents, props changed)
sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/to_integral.cpp (contents, props changed)
Removed:
sandbox/mp_math/boost/mp_math/integer/abs.hpp
sandbox/mp_math/boost/mp_math/integer/add.hpp
sandbox/mp_math/boost/mp_math/integer/ctors.hpp
sandbox/mp_math/boost/mp_math/integer/detail/asm/
sandbox/mp_math/boost/mp_math/integer/detail/div.hpp
sandbox/mp_math/boost/mp_math/integer/detail/integral_ops.hpp
sandbox/mp_math/boost/mp_math/integer/detail/primitive_ops.hpp
sandbox/mp_math/boost/mp_math/integer/detail/string_conversion_constants.hpp
sandbox/mp_math/boost/mp_math/integer/div.hpp
sandbox/mp_math/boost/mp_math/integer/gcd.hpp
sandbox/mp_math/boost/mp_math/integer/jacobi.hpp
sandbox/mp_math/boost/mp_math/integer/lcm.hpp
sandbox/mp_math/boost/mp_math/integer/mod.hpp
sandbox/mp_math/boost/mp_math/integer/modinv.hpp
sandbox/mp_math/boost/mp_math/integer/modpow.hpp
sandbox/mp_math/boost/mp_math/integer/modpow_ctx.hpp
sandbox/mp_math/boost/mp_math/integer/mp_int.hpp
sandbox/mp_math/boost/mp_math/integer/mp_int_fwd.hpp
sandbox/mp_math/boost/mp_math/integer/mul.hpp
sandbox/mp_math/boost/mp_math/integer/operators.hpp
sandbox/mp_math/boost/mp_math/integer/pow.hpp
sandbox/mp_math/boost/mp_math/integer/root.hpp
sandbox/mp_math/boost/mp_math/integer/sqr.hpp
sandbox/mp_math/boost/mp_math/integer/string_conversion.hpp
sandbox/mp_math/boost/mp_math/integer/sub.hpp
sandbox/mp_math/boost/mp_math/integer/traits.hpp
sandbox/mp_math/boost/mp_math/mp_int/
sandbox/mp_math/boost/mp_math/mp_int.hpp
sandbox/mp_math/boost/mp_math/mp_int_serialization.hpp
sandbox/mp_math/libs/mp_math/test/add.cpp
sandbox/mp_math/libs/mp_math/test/bitmanipulation.cpp
sandbox/mp_math/libs/mp_math/test/bitwise_ops.cpp
sandbox/mp_math/libs/mp_math/test/bool_conversion.cpp
sandbox/mp_math/libs/mp_math/test/cmp.cpp
sandbox/mp_math/libs/mp_math/test/compile_all.cpp
sandbox/mp_math/libs/mp_math/test/ctors.cpp
sandbox/mp_math/libs/mp_math/test/div.cpp
sandbox/mp_math/libs/mp_math/test/gcd.cpp
sandbox/mp_math/libs/mp_math/test/integral_ops.cpp
sandbox/mp_math/libs/mp_math/test/jacobi.cpp
sandbox/mp_math/libs/mp_math/test/lcm.cpp
sandbox/mp_math/libs/mp_math/test/modinv.cpp
sandbox/mp_math/libs/mp_math/test/modpow.cpp
sandbox/mp_math/libs/mp_math/test/mul.cpp
sandbox/mp_math/libs/mp_math/test/pow.cpp
sandbox/mp_math/libs/mp_math/test/prerequisite.hpp
sandbox/mp_math/libs/mp_math/test/prime.cpp
sandbox/mp_math/libs/mp_math/test/random.cpp
sandbox/mp_math/libs/mp_math/test/root.cpp
sandbox/mp_math/libs/mp_math/test/serialization.cpp
sandbox/mp_math/libs/mp_math/test/shift.cpp
sandbox/mp_math/libs/mp_math/test/sqr.cpp
sandbox/mp_math/libs/mp_math/test/stream_io.cpp
sandbox/mp_math/libs/mp_math/test/string_ops.cpp
sandbox/mp_math/libs/mp_math/test/sub.cpp
sandbox/mp_math/libs/mp_math/test/to_integral.cpp
sandbox/mp_math/libs/mp_math/test/traits.cpp
Text files modified:
sandbox/mp_math/boost/mp_math/integer.hpp | 21
sandbox/mp_math/boost/mp_math/integer/contexts.hpp | 173 ---
sandbox/mp_math/boost/mp_math/integer/detail/base/asm/asm/x86/gnu_386_primitive_ops.hpp | 31
sandbox/mp_math/boost/mp_math/integer/detail/base/primitive_ops.hpp | 1971 ++++++++++++++++++++++++++++++++++++++-
sandbox/mp_math/boost/mp_math/integer/detail/divider.hpp | 214 ++-
sandbox/mp_math/boost/mp_math/integer/detail/gcd.hpp | 108 +
sandbox/mp_math/boost/mp_math/integer/detail/jacobi.hpp | 37
sandbox/mp_math/boost/mp_math/integer/detail/lcm.hpp | 68
sandbox/mp_math/boost/mp_math/integer/detail/meta_math.hpp | 6
sandbox/mp_math/boost/mp_math/integer/detail/modinv.hpp | 157 +-
sandbox/mp_math/boost/mp_math/integer/detail/modpow.hpp | 421 ++++++-
sandbox/mp_math/boost/mp_math/integer/detail/modular_reduction.hpp | 255 ++--
sandbox/mp_math/boost/mp_math/integer/detail/multiplier.hpp | 859 ++++++++++++----
sandbox/mp_math/boost/mp_math/integer/detail/power.hpp | 156 ++
sandbox/mp_math/boost/mp_math/integer/detail/prime_tab.hpp | 6
sandbox/mp_math/boost/mp_math/integer/detail/root.hpp | 301 +++--
sandbox/mp_math/boost/mp_math/integer/detail/string_conversion.hpp | 1127 ++++++++++++++++++----
sandbox/mp_math/boost/mp_math/integer/integer.hpp | 948 +-----------------
sandbox/mp_math/boost/mp_math/integer/integer_fwd.hpp | 17
sandbox/mp_math/boost/mp_math/integer/numeric_limits.hpp | 401 +++++++
sandbox/mp_math/boost/mp_math/integer/unbounded_traits.hpp | 67
sandbox/mp_math/boost/mp_math/integer_serialization.hpp | 64 +
sandbox/mp_math/libs/mp_math/index.html | 2
sandbox/mp_math/libs/mp_math/test/unbounded/signed/add.cpp | 166 +-
sandbox/mp_math/libs/mp_math/test/unbounded/signed/bitmanipulation.cpp | 79
sandbox/mp_math/libs/mp_math/test/unbounded/signed/bitwise_ops.cpp | 94 +
sandbox/mp_math/libs/mp_math/test/unbounded/signed/bool_conversion.cpp | 43
sandbox/mp_math/libs/mp_math/test/unbounded/signed/cmp.cpp | 570 ++++++++++-
sandbox/mp_math/libs/mp_math/test/unbounded/signed/ctors.cpp | 277 +++-
sandbox/mp_math/libs/mp_math/test/unbounded/signed/div.cpp | 174 ++-
sandbox/mp_math/libs/mp_math/test/unbounded/signed/gcd.cpp | 56
sandbox/mp_math/libs/mp_math/test/unbounded/signed/integral_ops.cpp | 320 ++++--
sandbox/mp_math/libs/mp_math/test/unbounded/signed/jacobi.cpp | 26
sandbox/mp_math/libs/mp_math/test/unbounded/signed/jamfile.v2 | 15
sandbox/mp_math/libs/mp_math/test/unbounded/signed/lcm.cpp | 72
sandbox/mp_math/libs/mp_math/test/unbounded/signed/modinv.cpp | 26
sandbox/mp_math/libs/mp_math/test/unbounded/signed/modpow.cpp | 106 +-
sandbox/mp_math/libs/mp_math/test/unbounded/signed/mul.cpp | 83
sandbox/mp_math/libs/mp_math/test/unbounded/signed/pow.cpp | 76 +
sandbox/mp_math/libs/mp_math/test/unbounded/signed/prerequisite.hpp | 64
sandbox/mp_math/libs/mp_math/test/unbounded/signed/prime.cpp | 55
sandbox/mp_math/libs/mp_math/test/unbounded/signed/random.cpp | 49
sandbox/mp_math/libs/mp_math/test/unbounded/signed/root.cpp | 54
sandbox/mp_math/libs/mp_math/test/unbounded/signed/serialization.cpp | 30
sandbox/mp_math/libs/mp_math/test/unbounded/signed/shift.cpp | 36
sandbox/mp_math/libs/mp_math/test/unbounded/signed/sqr.cpp | 80 +
sandbox/mp_math/libs/mp_math/test/unbounded/signed/stream_io.cpp | 74
sandbox/mp_math/libs/mp_math/test/unbounded/signed/string_ops.cpp | 101 -
sandbox/mp_math/libs/mp_math/test/unbounded/signed/sub.cpp | 107 +-
sandbox/mp_math/libs/mp_math/test/unbounded/signed/to_integral.cpp | 112 +-
sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_gmp.cpp | 10
sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_gmp.hpp | 43
sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_mp_math.hpp | 23
sandbox/mp_math/libs/mp_math/tools/benchmark/jamfile.v2 | 11
sandbox/mp_math/libs/mp_math/tools/benchmark/main.cpp | 34
sandbox/mp_math/libs/mp_math/tools/benchmark/modes.cpp | 96 +
56 files changed, 7170 insertions(+), 3402 deletions(-)
Added: sandbox/mp_math/boost/mp_math/gmp.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/gmp.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,12 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_GMP_HPP
+#define BOOST_MP_MATH_GMP_HPP
+
+#include <boost/mp_math/integer/gmp_integer.hpp>
+
+#endif
+
Copied: sandbox/mp_math/boost/mp_math/integer.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,21 +1,16 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_HPP
-#define BOOST_MP_MATH_MP_INT_HPP
+#ifndef BOOST_MP_MATH_INTEGER_HPP
+#define BOOST_MP_MATH_INTEGER_HPP
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-#include <boost/mp_math/mp_int/mp_int.hpp>
+#include <boost/mp_math/integer/integer_fwd.hpp>
+#include <boost/mp_math/integer/integer.hpp>
-#include <boost/mp_math/mp_int/gcd.hpp>
-#include <boost/mp_math/mp_int/jacobi.hpp>
-#include <boost/mp_math/mp_int/lcm.hpp>
-#include <boost/mp_math/mp_int/modinv.hpp>
-#include <boost/mp_math/mp_int/modpow.hpp>
-#include <boost/mp_math/mp_int/numeric_limits.hpp>
-#include <boost/mp_math/mp_int/prime.hpp>
-#include <boost/mp_math/mp_int/root.hpp>
+#include <boost/mp_math/integer/numeric_limits.hpp>
+#include <boost/mp_math/integer/prime.hpp>
+#include <boost/mp_math/integer/random.hpp>
#endif
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/abs.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/abs.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,12 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-template<class A, class T>
-mp_int<A,T> abs(const mp_int<A,T>& x)
-{
- mp_int<A,T> tmp(x);
- tmp.set_sign(1);
- return tmp;
-}
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/add.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/add.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,83 +0,0 @@
-// Copyright Kevin Sopp 2008 - 2009.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-template<class A, class T>
-void mp_int<A,T>::add_digit(digit_type b)
-{
- if (is_positive())
- {
- grow_capacity(size_ + 1);
- const digit_type carry =
- ops_type::add_single_digit(digits_, digits_, size_, b);
- if (carry)
- push(carry);
- }
- else
- {
- if (digits_[0] > b) // example: -16 + 5 = -11
- digits_[0] -= b;
- else
- {
- if (size_ == 1) // example: -1 + 5 = 4, or -5 + 5 = 0
- {
- digits_[0] = b - digits_[0];
- set_sign(1);
- }
- else // example -1000 + 5 = -995
- {
- ops_type::subtract_single_digit(digits_, digits_, size_, b);
- if (!digits_[size_-1])
- --size_;
- }
- }
- }
-}
-
-// low level addition, based on HAC pp.594, Algorithm 14.7
-// does not handle sign
-template<class A, class T>
-void mp_int<A,T>::add_magnitude(const mp_int& rhs)
-{
- const mp_int* x;
- const mp_int* y;
-
- // x will point to the number with the most digits
- if (size_ > rhs.size_)
- {
- x = this;
- y = &rhs;
- }
- else
- {
- x = &rhs;
- y = this;
- }
-
- grow_capacity(x->size_ + 1);
-
- digit_type carry = ops_type::add_digits(digits_,
- x->digits_,
- y->digits_, y->size_);
-
- size_type n = ops_type::ripple_carry(digits_ + y->size_,
- x->digits_ + y->size_,
- x->size_ - y->size_, carry);
- n += y->size_;
-
- if (n < x->size_) // this implies that there is no carry left
- {
- if (x != this)
- {
- std::memcpy(digits_ + n, x->digits_ + n, sizeof(digit_type) * (x->size_ - n));
- size_ = x->size_;
- }
- return;
- }
- else if (carry) // at this point n equals x->size_
- digits_[n++] = carry;
-
- size_ = n;
-}
-
Copied: sandbox/mp_math/boost/mp_math/integer/contexts.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/modpow_ctx.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/modpow_ctx.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/contexts.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,181 +1,18 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_MODPOW_CTX_HPP
-#define BOOST_MP_MATH_MP_INT_MODPOW_CTX_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
+#ifndef BOOST_MP_MATH_INTEGER_CONTEXTS_HPP
+#define BOOST_MP_MATH_INTEGER_CONTEXTS_HPP
namespace boost {
namespace mp_math {
-// r = x mod m given x and m
-template<class A, class T>
+template<class ApInt>
struct modpow_ctx
-{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::word_type word_type;
- typedef typename mp_int<A,T>::size_type size_type;
-
- // dr means diminished radix
- enum modulus_type_t
- { // R is our radix, i.e. digit_max
- mod_restricted_dr, // m = R**k - d; d <= R
- mod_unrestricted_dr, // m = 2**k - d; d <= R
- mod_unrestricted_dr_slow, // m = 2**k - d; d < d**(k/2)
- mod_odd,
- mod_generic
- }modulus_type;
-
- modpow_ctx() : precalculated(false){}
-
- modulus_type_t do_detect(const mp_int<A,T>& m) const;
-
- void detect_modulus_type(const mp_int<A,T>& m)
- {
- modulus_type = do_detect(m);
- }
-
- void precalculate(const mp_int<A,T>& m);
-
- mp_int<A,T> mu;
- digit_type rho;
- bool precalculated;
-};
-
-
-template<class A, class T>
-typename modpow_ctx<A,T>::modulus_type_t
-modpow_ctx<A,T>::do_detect(const mp_int<A,T>& m) const
-{
- if (m.size() == 1)
- return mod_unrestricted_dr;
-
- typename mp_int<A,T>::size_type count = 0;
-
- const int bits = m.precision() % mp_int<A,T>::valid_bits;
-
- if (!bits && m[m.size()-1] == mp_int<A,T>::digit_max)
- ++count;
-
- for (typename mp_int<A,T>::const_reverse_iterator d = m.rbegin() + 1;
- d != m.rend(); ++d)
- {
- if (*d != mp_int<A,T>::digit_max)
- break;
- else
- ++count;
- }
-
- // if all bits are set
- if (count == m.size() - 1)
- return mod_restricted_dr;
-
- // if all bits until the most significant digit are set
- if (count == m.size() - 2)
- {
- bool all_bits_set = true;
-
- // handle the remaining bits in the most significant digit
- typename mp_int<A,T>::digit_type mask = 1;
- for (int i = 0; i < bits; ++i)
- {
- if ((m[m.size()-1] & mask) == 0)
- {
- all_bits_set = false;
- break;
- }
- mask <<= 1;
- }
- if (all_bits_set)
- return mod_unrestricted_dr;
- }
-
- // if more than half of the bits are set
- if (count >= m.size() / 2)
- return mod_unrestricted_dr_slow;
-
- if (m.is_odd())
- return mod_odd;
-
- return mod_generic;
-}
-
-template<class A, class T>
-void modpow_ctx<A,T>::precalculate(const mp_int<A,T>& m)
-{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::word_type word_type;
-
- switch (modulus_type)
- {
- case mod_restricted_dr:
- {
- rho = (word_type(1) << static_cast<word_type>(mp_int<A,T>::valid_bits))
- - static_cast<word_type>(m[0]);
- break;
- }
- case mod_unrestricted_dr:
- {
- const size_type p = m.precision();
-
- mp_int<A,T> tmp;
- tmp.pow2(p);
- tmp.sub_smaller_magnitude(m);
-
- rho = tmp[0];
- break;
- }
- case mod_unrestricted_dr_slow:
- {
- mp_int<A,T> tmp;
-
- tmp.pow2(m.precision());
- mu = tmp - m;
- break;
- }
- case mod_odd:
- {
- assert(m.is_odd());
-
- // fast inversion mod 2**k
- //
- // Based on the fact that
- //
- // XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n)
- // => 2*X*A - X*X*A*A = 1
- // => 2*(1) - (1) = 1
- const digit_type b = m[0];
-
- static const typename mp_int<A,T>::size_type S =
- sizeof(digit_type) * std::numeric_limits<unsigned char>::digits;
-
- digit_type x = (((b + 2) & 4) << 1) + b; // here x*a==1 mod 2**4
- x *= 2 - b * x; // here x*a==1 mod 2**8
- if (S != 8)
- x *= 2 - b * x; // here x*a==1 mod 2**16
- if (S == 64 || !(S == 8 || S == 16))
- x *= 2 - b * x; // here x*a==1 mod 2**32
- if (S == 64)
- x *= 2 - b * x; // here x*a==1 mod 2**64
-
- // rho = -1/m mod b
- rho = (word_type(1) << (static_cast<word_type>(mp_int<A,T>::valid_bits))) - x;
- break;
- }
- case mod_generic:
- {
- // mu = b**2k/m
- mu.pow2(m.size() * 2 * mp_int<A,T>::digit_bits);
- mu /= m;
- break;
- }
- }
- precalculated = true;
-}
+{};
} // namespace mp_math
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/ctors.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/ctors.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,272 +0,0 @@
-// Copyright Kevin Sopp 2008 - 2009.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-template<class A, class T>
-mp_int<A,T>::mp_int()
-:
- digits_(0),
- size_(0),
- capacity_(0)
-{
-}
-
-template<class A, class T>
-mp_int<A,T>::mp_int(const allocator_type& a)
-:
- base_allocator_type(a),
- digits_(0),
- size_(0),
- capacity_(0)
-{
-}
-
-template<class A, class T>
-template<typename IntegralT>
-mp_int<A,T>::mp_int(
- IntegralT b,
- const allocator_type& a,
- typename enable_if<is_integral<IntegralT> >::type*)
-:
- base_allocator_type(a),
- digits_(0),
- size_(0),
- capacity_(0)
-{
- detail::integral_ops<IntegralT>::assign(*this, b);
-}
-
-template<class A, class T>
-template<typename RandomAccessIterator>
-void mp_int<A,T>::init(RandomAccessIterator c, RandomAccessIterator last)
-{
- assert(size_ == 0);
-
- if (c == last)
- {
- set_sign(1);
- return;
- }
-
- int sign;
-
- if (*c == '-')
- {
- ++c;
- sign = -1;
- }
- else
- {
- if (*c == '+')
- ++c;
- sign = 1;
- }
-
- // detect the radix
- unsigned int radix;
-
- if (c != last)
- {
- if (*c == '0') // octal
- {
- ++c;
- if (c != last && (*c == 'x' || *c == 'X')) // hex
- {
- radix = 16;
- ++c;
- }
- else
- {
- radix = 8;
- --c; // keep the zero, necessary for mp_int("0")
- }
- }
- else // decimal
- radix = 10;
- }
- else
- throw std::invalid_argument("mp_int ctor: malformed string");
-
- set_sign(sign);
-
- from_string(c, last, radix);
-}
-
-template<class A, class T>
-template<typename RandomAccessIterator>
-void mp_int<A,T>::init(RandomAccessIterator c,
- RandomAccessIterator last,
- std::ios_base::fmtflags f)
-{
- assert(size_ == 0);
-
- if (c == last)
- {
- set_sign(1);
- return;
- }
-
- if (*c == '-')
- {
- set_sign(-1);
- ++c;
- }
- else
- {
- if (f & std::ios_base::showpos)
- {
- if (*c == '+')
- ++c;
- else
- throw std::invalid_argument("mp_int<>::init: expected a '+' sign");
- }
- set_sign(1);
- }
-
- const bool uppercase = f & std::ios_base::uppercase;
- const bool showbase = f & std::ios_base::showbase;
-
- bool bad_prefix = false;
- unsigned radix;
-
- if (f & std::ios_base::hex)
- {
- if (showbase)
- {
- if (*c == '0')
- ++c;
- else
- bad_prefix = true;
- if (*c == 'x' || (*c == 'X' && uppercase))
- ++c;
- else
- bad_prefix = true;
- }
- radix = 16;
- }
- else if (f & std::ios_base::oct)
- {
- if (showbase)
- {
- if (*c == '0')
- ++c;
- else
- bad_prefix = true;
- }
- radix = 8;
- }
- else if (f & std::ios_base::dec)
- radix = 10;
- else
- throw std::invalid_argument("mp_int<>::init: unknown radix");
-
- if (bad_prefix)
- throw std::invalid_argument("mp_int<>::init: bad radix prefix");
-
- from_string(c, last, radix);
-}
-
-
-template<class A, class T>
-template<typename RandomAccessIterator>
-mp_int<A,T>::mp_int(RandomAccessIterator first,
- RandomAccessIterator last,
- const allocator_type& a)
-:
- base_allocator_type(a),
- digits_(0),
- size_(0),
- capacity_(0)
-{
- init(first, last);
-}
-
-template<class A, class T>
-template<typename charT>
-mp_int<A,T>::mp_int(const charT* s, const allocator_type& a)
-:
- base_allocator_type(a),
- digits_(0),
- size_(0),
- capacity_(0)
-{
- init(s, s + std::char_traits<charT>::length(s));
-}
-
-template<class A, class T>
-template<typename charT>
-mp_int<A,T>::mp_int(const charT* s,
- std::ios_base::fmtflags f,
- const allocator_type& a)
-:
- base_allocator_type(a),
- digits_(0),
- size_(0),
- capacity_(0)
-{
- init(s, s + std::char_traits<charT>::length(s), f);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-mp_int<A,T>::mp_int(const std::basic_string<charT,traits,Alloc>& s,
- const allocator_type& a)
-:
- base_allocator_type(a),
- digits_(0),
- size_(0),
- capacity_(0)
-{
- init(s.begin(), s.end());
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-mp_int<A,T>::mp_int(const std::basic_string<charT,traits,Alloc>& s,
- std::ios_base::fmtflags f,
- const allocator_type& a)
-:
- base_allocator_type(a),
- digits_(0),
- size_(0),
- capacity_(0)
-{
- init(s.begin(), s.end(), f);
-}
-
-
-template<class A, class T>
-mp_int<A,T>::mp_int(const mp_int& copy)
-:
- base_allocator_type(copy.get_allocator())
-{
- digits_ = this->allocate(copy.size_);
- std::memcpy(digits_, copy.digits_, copy.size_ * sizeof(digit_type));
- size_ = copy.size_;
- set_capacity(copy.size_);
- set_sign(copy.sign());
-}
-
-#ifdef BOOST_HAS_RVALUE_REFS
-template<class A, class T>
-mp_int<A,T>::mp_int(mp_int&& copy)
-:
- digits_(copy.digits_),
- size_(copy.size_),
- capacity_(copy.capacity_) // this copies capacity and sign
-{
- copy.digits_ = 0;
- copy.size_ = 0;
- copy.capacity_ = 0;
-}
-#endif
-
-
-template<class A, class T>
-mp_int<A,T>::~mp_int()
-{
- if (digits_)
- this->deallocate(digits_, capacity());
-}
-
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/adder.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/adder.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,87 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_ADDER_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_ADDER_HPP
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+
+template<class ApInt>
+struct adder
+{
+ typedef typename ApInt::traits_type traits_type;
+ typedef typename traits_type::digit_type digit_type;
+ typedef typename traits_type::size_type size_type;
+ typedef typename traits_type::ops_type ops_type;
+
+ static void add_smaller_magnitude(ApInt& z,
+ const ApInt& x, const ApInt& y);
+
+ static void subtract_smaller_magnitude(ApInt& z, const ApInt& x);
+ static void subtract_smaller_magnitude(ApInt& z,
+ const ApInt& x, const ApInt& y);
+};
+
+
+template<class ApInt>
+void adder<ApInt>::add_smaller_magnitude(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ assert(x.size() >= y.size());
+
+ digit_type carry = ops_type::add_digits(z.digits(),
+ x.digits(),
+ y.digits(), y.size());
+
+ size_type n = ops_type::ripple_carry(z.digits() + y.size(),
+ x.digits() + y.size(),
+ x.size() - y.size(), carry);
+ n += y.size();
+
+ if (n < x.size()) // this implies that there is no carry left
+ {
+ if (&x != &z)
+ {
+ std::memcpy(z.digits() + n,
+ x.digits() + n,
+ sizeof(digit_type) * (x.size() - n));
+ z.set_size(x.size());
+ }
+ return;
+ }
+ else if (carry) // at this point n equals x.size()
+ z[n++] = carry;
+
+ z.set_size(n);
+}
+
+template<class ApInt>
+void adder<ApInt>::subtract_smaller_magnitude(ApInt& z, const ApInt& x)
+{
+ ApInt::traits_type::ops_type::sub_smaller_magnitude(
+ z.digits(), z.digits(), z.size(), x.digits(), x.size());
+
+ z.clamp();
+}
+
+template<class ApInt>
+void adder<ApInt>::subtract_smaller_magnitude(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ ApInt::traits_type::ops_type::sub_smaller_magnitude(
+ z.digits(), x.digits(), x.size(), y.digits(), y.size());
+
+ z.clamp();
+}
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
Modified: sandbox/mp_math/boost/mp_math/integer/detail/base/asm/asm/x86/gnu_386_primitive_ops.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/asm/x86/gnu_386_primitive_ops.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/asm/asm/x86/gnu_386_primitive_ops.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,25 +1,27 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-template
-struct primitive_ops<unsigned int, unsigned int, std::size_t>
+template<>
+struct primitive_ops<unsigned int, unsigned int, unsigned int>
+:
+ basic_primitive_ops<unsigned int,unsigned int,unsigned int>
{
typedef unsigned int dword;
- static unsigned int add_digits(dword* dst, const dword* y, std::size_t n);
- static unsigned int subtract_digits(dword* dst, const dword* y, std::size_t n);
+ static unsigned int add_digits (dword* x, const dword* y, dword n);
+ static unsigned int subtract_digits(dword* x, const dword* y, dword n);
};
-template
+template<>
inline
unsigned int
-primitive_ops<unsigned int, unsigned int, std::size_t>::
-add_digits(unsigned int* x, const unsigned int* y, std::size_t n)
+primitive_ops<unsigned int, unsigned int, unsigned int>::
+add_digits(dword* x, const dword* y, dword n)
{
- unsigned int carry = 0;
-
+ dword carry = 0;
+
__asm__ __volatile__(
"clc \n\t"
"0: \n\t"
@@ -42,14 +44,13 @@
return carry;
}
-
-template
+template<>
inline
unsigned int
-primitive_ops<unsigned int, unsigned int, std::size_t>::
-subtract_digits(unsigned int* x, const unsigned int* y, std::size_t n)
+primitive_ops<unsigned int, unsigned int, unsigned int>::
+subtract_digits(dword* x, const dword* y, dword n)
{
- unsigned int carry = 0;
+ dword carry = 0;
__asm__ __volatile__(
"clc \n\t"
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/bitmanipulator.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/bitmanipulator.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,171 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_BITMANIPULATOR_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_BITMANIPULATOR_HPP
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+
+template<
+ class ApInt1,
+ class ApInt2,
+ int Cmp = ApInt1::traits_type::radix_bits < ApInt2::traits_type::radix_bits ? -1
+ : ApInt1::traits_type::radix_bits > ApInt2::traits_type::radix_bits ? : 1
+ : 0
+>
+struct bit_copier;
+
+
+template<class ApInt1, class ApInt2>
+struct bit_copier<ApInt1, ApInt2, -1>
+{
+ typedef typename ApInt1::size_type size_type1;
+ typedef typename ApInt2::size_type size_type2;
+ typedef typename ApInt1::digit_type digit_type1;
+ typedef typename ApInt2::digit_type digit_type2;
+
+ static const unsigned radix_bits1 = ApInt1::traits_type::radix_bits;
+ static const unsigned radix_bits2 = ApInt2::traits_type::radix_bits;
+
+ static void copy_bits(ApInt1& dst, size_type1 dst_offset,
+ const ApInt2& src, size_type2 src_offset, size_type1 n);
+};
+
+
+template<class ApInt1, class ApInt2>
+struct bit_copier<ApInt1, ApInt2, 1>
+{
+ typedef typename ApInt1::size_type size_type1;
+ typedef typename ApInt2::size_type size_type2;
+ typedef typename ApInt1::digit_type digit_type1;
+ typedef typename ApInt2::digit_type digit_type2;
+
+ static const unsigned radix_bits1 = ApInt1::traits_type::radix_bits;
+ static const unsigned radix_bits2 = ApInt2::traits_type::radix_bits;
+
+ static void copy_bits(ApInt1& dst, size_type1 dst_offset,
+ const ApInt2& src, size_type2 src_offset, size_type1 n);
+};
+
+
+template<class ApInt1, class ApInt2>
+struct bit_copier<ApInt1, ApInt2, 0>
+{
+ typedef typename ApInt1::size_type size_type1;
+ typedef typename ApInt2::size_type size_type2;
+ typedef typename ApInt1::digit_type digit_type1;
+ typedef typename ApInt2::digit_type digit_type2;
+
+ static const digit_type1 z1 = ~digit_type1(0);
+ static const digit_type2 z2 = ~digit_type2(0);
+ static const unsigned radix_bits = ApInt1::traits_type::radix_bits;
+
+ static void copy_bits(ApInt1& dst, size_type1 dst_offset,
+ const ApInt2& src, size_type2 src_offset, size_type1 n);
+};
+
+
+template<class ApInt1, class ApInt2>
+void bit_copier<ApInt1, ApInt2, 0>::copy_bits(
+ ApInt1& dst, size_type1 dst_offset,
+ const ApInt2& src, size_type2 src_offset, size_type1 num)
+{
+ if (!num)
+ return;
+
+ const size_type1 q1 = dst_offset / radix_bits;
+ const size_type1 r1 = dst_offset % radix_bits;
+ const size_type2 q2 = src_offset / radix_bits;
+ const size_type2 r2 = src_offset % radix_bits;
+
+ const digit_type1 r1_inv = radix_bits - r1;
+ const digit_type2 r2_inv = radix_bits - r2;
+
+ digit_type1* d = dst.digits() + q1;
+ const digit_type2* s = src.digits() + q2;
+
+ // If the offset into the first destination digit is not zero, i.e. r1 ==
+ // true, then we fill it up manually (normalize it) and then start the
+ // normalized copy loop.
+ if (!r1)
+ {
+ if (!r2)
+ {
+ const size_type1 num_digits = (num + (radix_bits - 1)) / radix_bits;
+ std::memcpy(d, s, num_digits * sizeof(digit_type2));
+ return;
+ }
+ else
+ goto normalized_bitcopy;
+ }
+ else
+ {
+ if (num < r1_inv)
+ {
+ *d &= (z1 >> r1_inv) | (z1 << (r1_inv + num));
+ *d |= ((*s >> r2) & ~(z2 << num)) << r1;
+ return;
+ }
+ else
+ {
+ *d &= ~(z1 << r1);
+
+ if (num < r2_inv)
+ {
+ *d |= ((*s >> r2) & ~(z2 << num)) << r1;
+ return;
+ }
+ else
+ {
+ *d |= (*s >> r2) << r1;
+ ++s;
+ num -= r2_inv;
+ *d |= (*s & ~(z2 << (radix_bits - num))) << (r1 + r2_inv);
+ goto normalized_bitcopy;
+ }
+ }
+ }
+
+normalized_bitcopy:
+
+ // fill one whole destination digit per iteration
+ while (num >= radix_bits)
+ {
+ *d = *s >> r2;
+ ++s;
+ *d |= *s << r2_inv;
+ ++d;
+ num -= radix_bits;
+ }
+
+ // copy remaining bits manually
+ if (num)
+ {
+ *d &= ~(z1 >> (radix_bits - num));
+
+ if (num < r2_inv)
+ *d |= (*s >> r2) & ~(z2 << num);
+ else
+ {
+ *d |= (*s >> r2);
+ ++s;
+ num -= r2;
+ *d |= (*s & (z2 >> (radix_bits - num))) << r2;
+ }
+ }
+}
+
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/bitwise_ops.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/bitwise_ops.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,148 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_BITWISE_OPS_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_BITWISE_OPS_HPP
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+
+template<class ApInt, bool IsSigned = ApInt::is_signed>
+struct bitwise_ops;
+
+
+template<class ApInt>
+struct bitwise_ops<ApInt,false>
+{
+ typedef typename ApInt::traits_type::digit_type digit_type;
+ typedef typename ApInt::traits_type::size_type size_type;
+
+ static void or_bits (ApInt& z, const ApInt& x, const ApInt& y);
+ static void and_bits(ApInt& z, const ApInt& x, const ApInt& y);
+ static void xor_bits(ApInt& z, const ApInt& x, const ApInt& y);
+ static void compl_bits(ApInt& z, const ApInt& x);
+};
+
+
+template<class ApInt>
+void
+bitwise_ops<ApInt,false>::or_bits(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ if (x.size() < y.size())
+ {
+ std::memcpy(z.digits() + x.size(),
+ y.digits() + x.size(),
+ (y.size() - x.size()) * sizeof(digit_type));
+ z.set_size(y.size());
+ }
+
+ for (size_type i = 0; i < std::min(x.size(), y.size()); ++i)
+ z[i] = x[i] | y[i];
+}
+
+template<class ApInt>
+void
+bitwise_ops<ApInt,false>::and_bits(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ const size_type m = std::min(x.size(), y.size());
+
+ for (size_type i = 0; i < m; ++i)
+ z[i] = z[i] & y[i];
+
+ z.set_size(m);
+ z.clamp();
+}
+
+template<class ApInt>
+void
+bitwise_ops<ApInt,false>::xor_bits(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ const size_type m = std::min(x.size(), y.size());
+
+ if (x.size() < y.size())
+ {
+ std::memcpy(z.digits() + x.size(),
+ y.digits() + x.size(),
+ (y.size() - x.size()) * sizeof(digit_type));
+ z.set_size(y.size());
+ }
+
+ for (size_type i = 0; i < m; ++i)
+ z[i] = x[i] ^ y[i];
+
+ z.clamp();
+}
+
+template<class ApInt>
+void
+bitwise_ops<ApInt,false>::compl_bits(ApInt& z, const ApInt& x)
+{
+ size_type i = 0;
+ for (; i < x.size() - 1; ++i)
+ z[i] = ~x[i];
+
+ unsigned count = 0;
+ digit_type bit = digit_type(1) << (ApInt::traits_type::radix_bits - 1);
+
+ if (x[i])
+ while (!(x[i] & bit))
+ {
+ bit >>= 1;
+ ++count;
+ if (count > 40)
+ break;
+ }
+ else
+ count = ApInt::traits_type::radix_bits - 1;
+
+ digit_type mask = ~digit_type(0);
+ mask >>= count;
+ z[i] = ~x[i] & mask;
+
+ z.set_size(x.size());
+ z.clamp_high_digit();
+}
+
+
+template<class ApInt>
+struct bitwise_ops<ApInt,true>
+{
+ static void or_bits (ApInt& z, const ApInt& x, const ApInt& y)
+ {
+ bitwise_ops<ApInt,false>::or_bits(z, x, y);
+ z.set_sign_bit(x.sign_bit() | y.sign_bit());
+ }
+
+ static void and_bits(ApInt& z, const ApInt& x, const ApInt& y)
+ {
+ bitwise_ops<ApInt,false>::and_bits(z, x, y);
+ z.set_sign_bit(x.sign_bit() & y.sign_bit());
+ }
+
+ static void xor_bits(ApInt& z, const ApInt& x, const ApInt& y)
+ {
+ bitwise_ops<ApInt,false>::xor_bits(z, x, y);
+ z.set_sign_bit(x.sign_bit() ^ y.sign_bit());
+ }
+
+ static void compl_bits(ApInt& z, const ApInt& x)
+ {
+ bitwise_ops<ApInt,false>::compl_bits(z, x);
+ z.set_sign_bit(z && x.is_positive() ? 1 : 0);
+ }
+};
+
+
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/divider.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/divider.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,105 @@
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_DIVIDER_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_DIVIDER_HPP
+
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+
+template<class ApInt>
+struct divider
+{
+ typedef typename ApInt::traits_type traits_type;
+ typedef typename ApInt::digit_type digit_type;
+ typedef typename ApInt::size_type size_type;
+
+ // z = z % 2^n
+ static void modulo_pow2(ApInt& z, size_type n);
+ static void divide_by_2(ApInt& z);
+ static void divide_by_3(ApInt& z);
+};
+
+
+template<class ApInt>
+void divider<ApInt>::modulo_pow2(ApInt& z, size_type n)
+{
+ // if modulus >= z then return
+ if (n >= z.size() * traits_type::radix_bits)
+ return;
+
+ // clear high bits
+ const digit_type mask =
+ (1 << (static_cast<digit_type>(n % traits_type::radix_bits))) - 1;
+
+ z[n / traits_type::radix_bits] &= mask;
+
+ z.set_size(n / traits_type::radix_bits + 1);
+ // TODO was z.clamp() hope it is correct now with the +1! check again!
+
+ z.clamp();
+ // TODO if (!z) z.set_sign_bit(0) is necessary here
+}
+
+template<class ApInt>
+inline void divider<ApInt>::divide_by_2(ApInt& z)
+{
+ traits_type::ops_type::divide_by_two(z.digits(), z.digits(), z.size());
+
+ z.clamp_high_digit();
+}
+
+// divide by three (based on routine from MPI and the GMP manual)
+template<class ApInt>
+inline void divider<ApInt>::divide_by_3(ApInt& z)
+{
+ typedef typename traits_type::word_type word_type;
+
+ // b = 2^radix_bits / 3
+ static const word_type b = (word_type(1) << traits_type::radix_bits) / 3;
+
+ word_type w = 0;
+ for (typename ApInt::reverse_iterator d = z.rbegin(); d != z.rend(); ++d)
+ {
+ w = (w << static_cast<word_type>(traits_type::radix_bits))
+ | static_cast<word_type>(*d);
+
+ word_type t;
+ if (w >= 3U)
+ {
+ // multiply w by [1/3]
+ t = (w * b) >> static_cast<word_type>(traits_type::radix_bits);
+
+ // now subtract 3 * [w/3] from w, to get the remainder
+ w -= t+t+t;
+
+ // fixup the remainder as required since the optimization is not exact.
+ while (w >= 3U)
+ {
+ t += 1;
+ w -= 3;
+ }
+ }
+ else
+ t = 0;
+
+ *d = static_cast<digit_type>(t);
+ }
+
+ z.clamp(); // TODO clamp_high_digit should suffice
+}
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/from_integral.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/from_integral.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,191 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_FROM_INTEGRAL_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_FROM_INTEGRAL_HPP
+
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+
+template<
+ class ApInt,
+ typename IntegralT,
+ bool ApIntIsSigned = ApInt::is_signed,
+ bool IsSigned = std::numeric_limits<IntegralT>::is_signed,
+ bool fits_into_digit_type =
+ std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<typename ApInt::digit_type>::digits
+ // TODO shouldn't we cmp against signed digit_type for signed integral types?
+>
+struct from_integral_converter;
+
+
+// Specializations for unsigned ApInts //
+/////////////////////////////////////////
+
+template<class ApInt, typename IntegralT>
+struct from_integral_converter<ApInt, IntegralT, false, false, true>
+{
+ static void convert(ApInt& z, IntegralT x)
+ {
+ z[0] = x;
+ z.set_size(1);
+ }
+};
+
+
+template<class ApInt, typename IntegralT>
+struct from_integral_converter<ApInt, IntegralT, false, true, true>
+{
+ static void convert(ApInt& z, IntegralT x)
+ {
+ if (x >= 0)
+ {
+ z[0] = static_cast<typename ApInt::digit_type>(x);
+ z.set_size(1);
+ }
+ else
+ throw std::domain_error("from_integral_converter::convert: "
+ "cannot convert negative integral value to unsigned integer value");
+ }
+};
+
+
+template<class ApInt, typename IntegralT>
+struct from_integral_converter<ApInt, IntegralT, false, false, false>
+{
+ static void convert(ApInt& z, IntegralT x);
+};
+
+
+template<class ApInt, typename IntegralT>
+void from_integral_converter<ApInt, IntegralT, false, false, false>::
+convert(ApInt& z, IntegralT x)
+{
+ static const IntegralT mask = ~(~IntegralT(0) << ApInt::traits_type::radix_bits);
+
+ if (x == 0)
+ {
+ z[0] = 0;
+ z.set_size(1);
+ return;
+ }
+
+ typename ApInt::iterator z_iter = z.begin();
+ while (x)
+ {
+ *z_iter++ = static_cast<typename ApInt::digit_type>(x & mask);
+ x >>= ApInt::traits_type::radix_bits;
+ }
+
+ z.set_size(z_iter - z.begin());
+}
+
+
+template<class ApInt, typename IntegralT>
+struct from_integral_converter<ApInt, IntegralT, false, true, false>
+{
+ typedef typename make_unsigned<IntegralT>::type unsigned_integral_type;
+
+ static void convert(ApInt& z, IntegralT x)
+ {
+ if (x >= 0)
+ from_integral_converter<
+ ApInt, unsigned_integral_type
+ >::convert(z, static_cast<unsigned_integral_type>(x));
+ else
+ throw std::domain_error("from_integral_converter::convert: "
+ "cannot convert negative integral value to unsigned integer value");
+ }
+};
+
+
+// Specializations for signed ApInts //
+///////////////////////////////////////
+
+template<class ApInt, typename IntegralT>
+struct from_integral_converter<ApInt, IntegralT, true, false, true>
+{
+ static void convert(ApInt& z, IntegralT x)
+ {
+ z[0] = x;
+ z.set_size(1);
+ z.set_sign_bit(1);
+ }
+};
+
+
+template<class ApInt, typename IntegralT>
+struct from_integral_converter<ApInt, IntegralT, true, true, true>
+{
+ static void convert(ApInt& z, IntegralT x)
+ {
+ if (x >= 0)
+ {
+ z[0] = static_cast<typename ApInt::digit_type>(x);
+ z.set_sign_bit(0);
+ }
+ else
+ {
+ z[0] = static_cast<typename ApInt::digit_type>(-x);
+ z.set_sign_bit(1);
+ }
+ z.set_size(1);
+ }
+};
+
+
+template<class ApInt, typename IntegralT>
+struct from_integral_converter<ApInt, IntegralT, true, false, false>
+{
+ static void convert(ApInt& z, IntegralT x)
+ {
+ from_integral_converter<ApInt, IntegralT, false, false, false>::
+ convert(z, x);
+ z.set_sign_bit(0);
+ }
+};
+
+
+template<class ApInt, typename IntegralT>
+struct from_integral_converter<ApInt, IntegralT, true, true, false>
+{
+ typedef typename make_unsigned<IntegralT>::type unsigned_integral_type;
+
+ static void convert(ApInt& z, IntegralT x)
+ {
+ if (x >= 0)
+ {
+ from_integral_converter<
+ ApInt, unsigned_integral_type, false, true, false
+ >::convert(z, static_cast<unsigned_integral_type>(x));
+ z.set_sign_bit(0);
+ }
+ else
+ {
+ from_integral_converter<
+ ApInt, IntegralT, false, true, false
+ >::convert(z, static_cast<unsigned_integral_type>(-x));
+ z.set_sign_bit(1);
+ }
+ }
+};
+
+
+
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/multiplier.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/multiplier.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,108 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_MULTIPLIER_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_MULTIPLIER_HPP
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+
+template<class ApInt>
+struct multiplier
+{
+ typedef ApInt int_type;
+ typedef typename int_type::digit_type digit_type;
+ typedef typename int_type::traits_type traits_type;
+ typedef typename traits_type::ops_type ops_type;
+
+ static void multiply_or_square(ApInt& z, const ApInt& x, const ApInt& y);
+
+ static void mul (ApInt& z, const ApInt& x, const ApInt& y);
+ static void comba_mul(ApInt& z, const ApInt& x, const ApInt& y);
+
+ static void comba_sqr(ApInt& z, const ApInt& x);
+};
+
+
+template<class ApInt>
+void
+multiplier<ApInt>::multiply_or_square(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ if (&x == &y)
+ comba_sqr(z, x);
+ else
+ mul(z, x, y);
+}
+
+template<class ApInt>
+void multiplier<ApInt>::mul(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ // always multiply larger by smaller number
+ const ApInt* a = &x;
+ const ApInt* b = &y;
+ if (a->size() < b->size())
+ std::swap(a, b);
+
+ if (b->size() == 1U)
+ {
+ if ((*b)[0] == 0U)
+ {
+ z[0] = 0;
+ z.set_size(1);
+ // TODO set_sign_bit(0) for signed ApInt!
+ return;
+ }
+ else if ((*b)[0] == 1U)
+ {
+ z = *a;
+ return;
+ }
+
+ ApInt::template integral_ops<digit_type>::multiply(z, *a, (*b)[0]);
+
+ return;
+ }
+
+ comba_mul(z, *a, *b);
+}
+
+template<class ApInt>
+void multiplier<ApInt>::comba_mul(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ // We assert this because otherwise we would need to call z.clamp() below.
+ assert(x);
+ assert(y);
+
+ if (x.size() == y.size())
+ ops_type::comba_mul(z.digits(), x.digits(), y.digits(), y.size());
+ else
+ ops_type::comba_mul(z.digits(), x.digits(), x.size(),
+ y.digits(), y.size());
+
+ z.set_size(x.size() + y.size());
+ z.clamp_high_digit();
+}
+
+template<class ApInt>
+void multiplier<ApInt>::comba_sqr(ApInt& z, const ApInt& x)
+{
+ ops_type::comba_sqr(z.digits(), x.digits(), x.size());
+
+ z.set_size(x.size() + x.size());
+
+ z.clamp_high_digit();
+}
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Copied: sandbox/mp_math/boost/mp_math/integer/detail/base/primitive_ops.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/detail/primitive_ops.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/primitive_ops.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/primitive_ops.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,19 +1,27 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_DETAIL_PRIMITIVE_OPS
-#define BOOST_MP_MATH_MP_INT_DETAIL_PRIMITIVE_OPS
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_PRIMITIVE_OPS
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_PRIMITIVE_OPS
+
+#include <cassert>
+#include <cstring>
+#include <algorithm>
+#include <boost/cstdint.hpp>
+#include <iostream>
namespace boost {
namespace mp_math {
namespace detail {
+namespace base {
// this struct contains some basic arithmetic algorithms
// which can be implemented via assembly rather easily
+#ifdef BOOST_MP_MATH_PRIMITIVE_OPS_OLD
template<typename DigitT, typename WordT, typename SizeT>
struct basic_primitive_ops
{
@@ -24,6 +32,15 @@
static const word_type digit_bits = std::numeric_limits<digit_type>::digits;
// ADD ------------------------------------
+ // z = x + y, returns carry
+ static digit_type add(digit_type& z, digit_type x, digit_type y);
+ // z += x, returns carry
+ static digit_type add(digit_type& z, digit_type x);
+ // z += x * y, returns carry
+ static digit_type multiply_add(digit_type& z_hi, digit_type& z_lo,
+ digit_type x, digit_type y);
+ // z = x * y, returns high part of the product
+ static digit_type mul(digit_type& z, digit_type x, digit_type y);
// add y to the digits in x and store result in z
// xlen must be > 0
@@ -102,6 +119,24 @@
const digit_type* x,
const digit_type* y, size_type xylen);
+ // z = x * y; precondition: xlen >= ylen and workspace must have at least ylen
+ // digits this function is only used by the integral ops interaction code, it
+ // allows x and z to be the same pointer.
+ static void comba_mul(digit_type* z, const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ digit_type* workspace);
+
+ // computes the lower num digits of the product of x and y
+ static void comba_mul_lo(digit_type* z, const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ size_type num);
+
+ // computes the high product of x and y without num least significant digits
+ // basically the result is: z = (x*y) >> radix^num
+ static void comba_mul_hi(digit_type* z, const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ size_type num);
+
// SQR ------------------------------------
// z = x * x;
@@ -109,11 +144,10 @@
// MADD ------------------------------------
- // z = w * x + y
+ // z = z + x * y
static digit_type multiply_add_digits(digit_type* z,
- const digit_type* w,
- digit_type x,
- const digit_type* y,
+ const digit_type* x,
+ digit_type y,
size_type n);
// DIV -------------------------------------
@@ -126,12 +160,109 @@
static digit_type divide_by_digit(digit_type* z,
const digit_type* x, size_type xlen,
digit_type y);
+
+ // q = x/y, r = x%y; workspace must have length of ylen + 1
+ static void divide(digit_type* q, digit_type* r,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ digit_type* workspace);
+
+ // SHIFT -----------------------------------
+
+ // shifts x by n bits to the left, where n > 0 && n < digit_bits
+ // returns carry
+ static digit_type shift_bits_left(digit_type* x, size_type xlen, size_type n);
+
+ // shifts x by n bits to the right, where n > 0 && n < digit_bits
+ static void shift_bits_right(digit_type* x, size_type xlen, size_type n);
+
+ // CMP -------------------------------------
+
+ // returns 1 if x > y
+ // returns 0 if x == y
+ // returns -1 if x < y
+ static int compare_magnitude(const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen);
};
template<typename D, typename W, typename S>
inline
+D basic_primitive_ops<D,W,S>::add(digit_type& z, digit_type x, digit_type y)
+{
+ z = x + y;
+ return z < x;
+}
+
+template<typename D, typename W, typename S>
+inline
+D basic_primitive_ops<D,W,S>::add(digit_type& z, digit_type x)
+{
+ z += x;
+ return z < x;
+}
+
+template<typename D, typename W, typename S>
+inline
+D basic_primitive_ops<D,W,S>::multiply_add(digit_type& z_hi, digit_type& z_lo,
+ digit_type x, digit_type y)
+{
+ static const digit_type lo_mask = (1 << digit_bits / 2) - 1;
+
+ const digit_type x_lo = x & lo_mask;
+ const digit_type x_hi = x >> digit_bits/2;
+ const digit_type y_lo = y & lo_mask;
+ const digit_type y_hi = y >> digit_bits/2;
+
+ const digit_type z0 = x_lo * y_lo;
+ const digit_type z1 = x_lo * y_hi;
+ const digit_type z2 = x_hi * y_lo;
+ const digit_type z3 = x_hi * y_hi;
+
+ digit_type z12 = z1 + (z0 >> digit_bits/2);
+ const digit_type carry = add(z12, z2);
+
+ const digit_type w_lo = (z12 << digit_bits/2) + (z0 & lo_mask);
+ const digit_type w_hi = z3 + (carry << digit_bits/2) + (z12 >> digit_bits/2);
+
+ digit_type u = add(z_lo, w_lo);
+ digit_type v = add(z_hi, u);
+
+ return v + add(z_hi, w_hi);
+}
+
+template<typename D, typename W, typename S>
+inline
+D basic_primitive_ops<D,W,S>::mul(digit_type& z_lo, digit_type x, digit_type y)
+{
+ static const digit_type lo_mask = (1 << digit_bits / 2) - 1;
+ static const digit_type hi_mask = lo_mask << (digit_bits / 2);
+
+ const digit_type x_lo = x & lo_mask;
+ const digit_type x_hi = x & hi_mask;
+ const digit_type y_lo = y & lo_mask;
+ const digit_type y_hi = y & hi_mask;
+
+ // do a normal school multiplication on the 'half digits'
+ const digit_type z0 = x_lo * y_lo;
+ const digit_type z1 = x_lo * y_hi;
+ const digit_type z2 = x_hi * y_lo;
+ const digit_type z3 = x_hi * y_hi;
+
+ digit_type z12 = z1 + (z0 & hi_mask);
+ const digit_type carry = add(z12, z2);
+
+ z_lo = (z12 << digit_bits/2) | (z0 & lo_mask);
+
+ const digit_type z_hi = z3 + (carry << digit_bits/2) + (z12 & hi_mask);
+
+ return z_hi;
+}
+
+//////////////////////////////////////////////////////////////
+template<typename D, typename W, typename S>
+inline
D basic_primitive_ops<D,W,S>::add_single_digit(digit_type* z,
const digit_type* x,
size_type xlen,
@@ -397,58 +528,67 @@
{
assert(xlen >= ylen);
- word_type acc = 0; // accumulator for each column
- word_type carry = 0;
+ // instead of initializing acc and carry with zero and entering the loop below
+ // we manually calculate the first low digit of the result here
+ // acc is the accumulator for each column
+ word_type acc = static_cast<word_type>(*x) * static_cast<word_type>(*y++);
+ word_type carry = acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
// phase 1
- for (size_type i = 0; i < ylen; ++i)
+ for (size_type i = 1; i < ylen; ++i)
{
- const digit_type* a = x;
- const digit_type* b = y + i;
-
for (size_type j = 0; j <= i; ++j)
{
- acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
+ acc += static_cast<word_type>(*x++) * static_cast<word_type>(*y--);
carry += acc >> digit_bits;
acc = static_cast<digit_type>(acc);
}
+ x -= i + 1;
+ y += i + 2;
*z++ = static_cast<digit_type>(acc);
acc = static_cast<digit_type>(carry);
carry >>= digit_bits;
}
// phase 2
+ --y; // now y is at index ylen - 1
for (size_type i = 0; i < xlen - ylen; ++i)
{
- const digit_type* a = x + ylen + i;
- const digit_type* b = y;
+ ++x;
for (size_type j = 0; j < ylen; ++j)
{
- acc += static_cast<word_type>(*a--) * static_cast<word_type>(*b++);
+ acc += static_cast<word_type>(*x++) * static_cast<word_type>(*y--);
carry += acc >> digit_bits;
acc = static_cast<digit_type>(acc);
}
+ x -= ylen;
+ y += ylen;
*z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
+ acc = static_cast<digit_type>(carry);
carry >>= digit_bits;
}
// phase 3
for (size_type i = 0; i < ylen - 1; ++i)
{
- const digit_type* a = x + xlen - 1;
- const digit_type* b = y + i + 1;
+ ++x;
for (size_type j = i + 1; j < ylen; ++j)
{
- acc += static_cast<word_type>(*a--) * static_cast<word_type>(*b++);
+ acc += static_cast<word_type>(*x++) * static_cast<word_type>(*y--);
carry += acc >> digit_bits;
acc = static_cast<digit_type>(acc);
}
+ x -= ylen - 1 - i;
+ y += ylen - 1 - i;
*z++ = static_cast<digit_type>(acc);
acc = static_cast<digit_type>(carry);
carry >>= digit_bits;
@@ -463,11 +603,68 @@
const digit_type* x,
const digit_type* y, size_type xylen)
{
+ // phase 1
+ // instead of initializing acc and carry with zero and entering the loop below
+ // we manually calculate the first low digit of the result here
+ word_type acc = static_cast<word_type>(*x) * static_cast<word_type>(*y++);
+ word_type carry = acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+
+ for (size_type i = 1; i < xylen; ++i)
+ {
+ for (size_type j = 0; j <= i; ++j)
+ {
+ acc += static_cast<word_type>(*x++) * static_cast<word_type>(*y--);
+ carry += acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ }
+
+ x -= i + 1;
+ y += i + 2;
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+ }
+ --y;
+ // phase 2
+ while (--xylen)
+ {
+ ++x;
+ for (size_type j = 0; j < xylen; ++j)
+ {
+ acc += static_cast<word_type>(*x++) * static_cast<word_type>(*y--);
+ carry += acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ }
+
+ x -= xylen;
+ y += xylen;
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+ }
+
+ *z = static_cast<digit_type>(acc);
+}
+
+template<typename D, typename W, typename S>
+void
+basic_primitive_ops<D,W,S>::comba_mul(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ digit_type* workspace)
+{
+ assert(xlen >= ylen);
+
+ digit_type* w = workspace;
word_type acc = 0; // accumulator for each column
word_type carry = 0;
// phase 1
- for (size_type i = 0; i < xylen; ++i)
+ for (size_type i = 0; i < ylen; ++i)
{
const digit_type* a = x;
const digit_type* b = y + i;
@@ -479,29 +676,231 @@
acc = static_cast<digit_type>(acc);
}
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
+ *w++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
carry >>= digit_bits;
}
+ w -= ylen;
+
// phase 2
- for (size_type i = 1; i < xylen; ++i)
+ for (size_type i = 0; i < xlen - ylen; ++i)
{
- const digit_type* a = y + xylen - 1;
- const digit_type* b = x + i;
+ const digit_type* a = x + 1 + i;
+ const digit_type* b = y + ylen - 1;
- for (size_type j = 0; j < xylen - i; ++j)
+ for (size_type j = 0; j < ylen; ++j)
{
- acc += static_cast<word_type>(*a--) * static_cast<word_type>(*b++);
+ acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
carry += acc >> digit_bits;
acc = static_cast<digit_type>(acc);
}
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
+ *z++ = *w;
+ *w++ = static_cast<digit_type>(acc);
+
+ if (static_cast<size_type>(w - workspace) == ylen)
+ w -= ylen;
+
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+ }
+
+ // phase 3
+ for (size_type i = 0; i < ylen - 1; ++i)
+ {
+ const digit_type* a = x + xlen - (ylen - 1);
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = i + 1; j < ylen; ++j)
+ {
+ acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
+ carry += acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ }
+
+ *z++ = *w;
+ *w++ = static_cast<digit_type>(acc);
+
+ if (static_cast<size_type>(w - workspace) == ylen)
+ w -= ylen;
+
+ acc = static_cast<digit_type>(carry);
carry >>= digit_bits;
}
+ const digit_type* ws_index = w;
+
+ while (w < (workspace + ylen))
+ *z++ = *w++;
+
+ w = workspace;
+
+ while (w < ws_index)
+ *z++ = *w++;
+
+ *z = static_cast<digit_type>(acc);
+}
+
+template<typename D, typename W, typename S>
+void
+basic_primitive_ops<D,W,S>::comba_mul_lo(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ size_type num)
+{
+ //assert(xlen >= ylen);
+ assert(num <= (xlen + ylen));
+
+ word_type acc = 0; // accumulator for each column
+ word_type carry = 0;
+
+ // phase 1
+ if (num)
+ {
+ const size_type m = ylen < num ? ylen : num;
+ for (size_type i = 0; i < m; ++i)
+ {
+ const digit_type* a = x;
+ const digit_type* b = y + i;
+
+ for (size_type j = 0; j <= i; ++j)
+ {
+ acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
+ carry += acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ }
+
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+ }
+ }
+
+ // phase 2
+ if (num >= ylen)
+ {
+ const size_type m = xlen - ylen < num ? xlen - ylen : num;
+ for (size_type i = 0; i < m; ++i)
+ {
+ const digit_type* a = x + 1 + i;
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = 0; j < ylen; ++j)
+ {
+ acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
+ carry += acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ }
+
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+ }
+ }
+
+ // phase 3
+ if (num >= xlen + ylen)
+ {
+ const size_type m = ylen - 1 < num ? ylen - 1 : num;
+ for (size_type i = 0; i < m; ++i)
+ {
+ const digit_type* a = x + xlen - (ylen - 1);
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = i + 1; j < ylen; ++j)
+ {
+ acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
+ carry += acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ }
+
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+ }
+ }
+
+ *z = static_cast<digit_type>(acc);
+}
+
+template<typename D, typename W, typename S>
+void
+basic_primitive_ops<D,W,S>::comba_mul_hi(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ size_type num)
+{
+ //assert(xlen >= ylen);
+ assert(num > 0);
+ assert(num < (xlen + ylen));
+
+ word_type acc = 0; // accumulator for each column
+ word_type carry = 0;
+
+ // phase 1
+ if (num < ylen)
+ {
+ for (size_type i = num; i < ylen; ++i)
+ {
+ const digit_type* a = x;
+ const digit_type* b = y + i;
+
+ for (size_type j = 0; j <= i; ++j)
+ {
+ acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
+ carry += acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ }
+
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+ }
+ }
+
+ // phase 2
+ if (num < xlen)
+ {
+ for (size_type i = num - ylen; i < xlen - ylen; ++i)
+ {
+ const digit_type* a = x + 1 + i;
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = 0; j < ylen; ++j)
+ {
+ acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
+ carry += acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ }
+
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+ }
+ }
+
+ // phase 3
+ if (num < (xlen + ylen))
+ {
+ for (size_type i = num - (xlen + ylen); i < ylen - 1; ++i)
+ {
+ const digit_type* a = x + xlen - (ylen - 1);
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = i + 1; j < ylen; ++j)
+ {
+ acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
+ carry += acc >> digit_bits;
+ acc = static_cast<digit_type>(acc);
+ }
+
+ *z++ = static_cast<digit_type>(acc);
+ acc = static_cast<digit_type>(carry);
+ carry >>= digit_bits;
+ }
+ }
+
*z = static_cast<digit_type>(acc);
}
@@ -558,7 +957,6 @@
*z = static_cast<digit_type>(acc);*/
-
word_type acc = 0; // accumulator for each column
word_type carry = 0;
@@ -583,12 +981,12 @@
// phase 2
for (size_type i = 1; i < xlen; ++i)
{
- const digit_type* a = x + xlen - 1;
- const digit_type* b = x + i;
+ const digit_type* a = x + i;
+ const digit_type* b = x + xlen - 1;
for (size_type j = 0; j < xlen - i; ++j)
{
- acc += static_cast<word_type>(*a--) * static_cast<word_type>(*b++);
+ acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
carry += acc >> digit_bits;
acc = static_cast<digit_type>(acc);
}
@@ -603,24 +1001,25 @@
template<typename D, typename W, typename S>
D basic_primitive_ops<D,W,S>::multiply_add_digits(digit_type* z,
- const digit_type* w,
- digit_type x,
- const digit_type* y,
+ const digit_type* x,
+ digit_type y,
size_type n)
{
- word_type carry = 0;
+ digit_type carry = 0;
while (n--)
{
- const word_type r = static_cast<word_type>(*w++)
- * static_cast<word_type>(x)
- + static_cast<word_type>(*y++)
- + carry;
-
- *z++ = static_cast<digit_type>(r);
- carry = r >> digit_bits;
+ const word_type r = static_cast<word_type>(*z)
+ + static_cast<word_type>(*x)
+ * static_cast<word_type>(y)
+ + static_cast<word_type>(carry);
+
+ *z = static_cast<digit_type>(r);
+ carry = static_cast<digit_type>(r >> digit_bits);
+ ++z;
+ ++x;
}
- return static_cast<digit_type>(carry);
+ return carry;
}
@@ -644,12 +1043,68 @@
carry = r;
}
}
+/*
+// divides half digits [x1, x2, x3] by [y1, y2] and returns remainder
+template<typename D, typename W, typename S>
+D basic_primitive_ops<D,W,S>::divide_half_digits(
+ digit_type& q,
+ digit_type x12, digit_type x3,
+ digit_type y1, digit_type y2)
+{
+ q = x12 / y1;
+ const digit_type c = x12 - q * y1;
+ const digit_type D = q * y2;
+
+ digit_type R = (c << digit_bits / 2) | x3;
+
+ if (R < D) // R is too large by at most 2
+ {
+ const digit_type y = (y1 << digit_bits / 2) | y2;
+ --q;
+ R += y;
+ if (R < D)
+ {
+ --q;
+ R += y;
+ }
+ }
+
+ return R - D;
+}
+
+// divide two digit number x by one digit number y
+// returns remainder
+// q = x / y , r = x % y
+template<typename D, typename W, typename S>
+D basic_primitive_ops<D,W,S>::divide(digit_type& q,
+ digit_type x_hi, digit_type x_lo,
+ digit_type y)
+{
+ static const digit_type lo_mask = (1 << digit_bits / 2) - 1;
+ static const digit_type hi_mask = lo_mask << (digit_bits / 2);
+
+ digit_type q1, q2;
+ const digit_type r = divide_half_digits(q1, x_hi, x_lo & hi_mask,
+ y & hi_mask, y & lo_mask);
+ const digit_type s = divide_half_digits(q2, r, x_lo & lo_mask,
+ y & hi_mask, y & lo_mask);
+ q = (q1 << digit_bits / 2) & q2;
+ return s;
+}*/
template<typename D, typename W, typename S>
D basic_primitive_ops<D,W,S>::divide_by_digit(digit_type* z,
const digit_type* x, size_type n,
digit_type y)
{
+/* z += n - 1;
+ x += n - 1;
+
+ while (n--)
+ {
+ if ()
+ }*/
+
z += n - 1;
x += n - 1;
@@ -658,47 +1113,1427 @@
while (n--)
{
w = (w << digit_bits) | static_cast<word_type>(*x--);
- digit_type tmp;
+ //this turned out to be slower:
+ //const digit_type q = static_cast<digit_type>(w / y);
+ //w -= q * y;
+ //*z-- = q;
+ digit_type q;
if (w >= y)
{
- tmp = static_cast<digit_type>(w / y);
- w -= tmp * y;
+ q = static_cast<digit_type>(w / y);
+ w -= q * y;
}
else
- tmp = 0;
- *z-- = tmp;
+ q = 0;
+ *z-- = q;
}
return static_cast<digit_type>(w);
}
+// This is basically a Knuth division with the difference that we form the trial
+// quotient by using a 3 digit by 2 digit division instead of a 2 by 1. This has
+// the effect of limiting the error in q_hat to 1 instead of 2.
+/*template<typename D, typename W, typename S>
+void basic_primitive_ops<D,W,S>::divide(digit_type* q, digit_type* r,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ digit_type* ws)
+{
+ assert(xlen >= 3);
+ assert(ylen >= 2);
+ if (y[ylen-1] & (1 << (digit_bits-1))) // if y is already normalized
+ {
+ digit_type q_estimate =
+ div3by2(x[xlen - 1], x[xlen - 2], x[xlen - 3],
+ y[ylen - 1], y[ylen - 2]);
+
+ // multiply subtract in place
+ digit_type* ws_ptr = ws;
+ digit_type borrow = 0;
+ for (size_type i = 0; i < ylen; ++i)
+ {
+ const word_type tmp = static_cast<word_type>(*y++)
+ * static_cast<word_type>(q_estimate);
+ *ws_ptr++ = x_ptr - static_cast<digit_type>(tmp);
+ borrow = static_cast<digit_type>(tmp >> digit_bits);
+ }
+ return borrow;
+ }
+ else
+ {
+ //count leading zero bits
+ norm = 1;
-// This exists to ease development of primitive_ops specializations. If a
-// specialized function isn't available yet, the compiler will just choose the
-// inherited one. It also means that whenever we add a new function to
-// basic_primitive_ops no code will break since it will be available to all
-// specializations as well.
-template<typename D, typename W, typename S>
-struct primitive_ops : basic_primitive_ops<D,W,S>
-{};
+ // store normalized y at ws[0] and normalized x at ws[ylen]
+ digit_type q_estimate =
+ div3by2(ws[xlen - 1], ws[xlen - 2], ws[xlen - 3],
+ ws[ylen - 1], ws[ylen - 2]);
+ }
-// Here we include primitive_ops specializations that use assembler
+ // TODO normalize in place or store normalized y at ws and let wslen be
+ // ylen * 2 + 1.
-#if defined(BOOST_MP_MATH_MP_INT_USE_ASM)
+ const digit_type* x_beg = x;
+ x += xlen - 3;
- #if defined(__GNU__)
- #if defined(__386__)
- #include <boost/mp_math/mp_int/detail/asm/x86/gnu_386_primitive_ops.hpp>
- #endif
- #endif
+ digit_type q_hat = div3by2(x, y + ylen - 2);
+ *(ws + ylen) = multiply_by_digit(ws, y, ylen, q_hat);
-#endif
+ const digit_type borrow = subtract_digits(ws, x, ws, ylen + 1);
+ if (borrow)
+ {
+ ++q_hat;
+ add_digits(ws, ws, y, ylen);
+ }
+
+ *q++ = q_hat;
+ --x;
+
+ ++ws;
+
+ // TODO need to multiply_subtract otherwise I'd need a second buffer to hold
+ // the result of multiply_by_digit
+ while (x != x_beg)
+ {
+ digit_type q_hat = div3by2(ws, y + ylen - 2);
+ *(ws + ylen) = multiply_by_digit(ws, y, ylen, q_hat);
+
+ const digit_type borrow = subtract_digits(ws, x, ws, ylen + 1);
+ if (borrow)
+ {
+ ++q_hat;
+ add_digits(ws, ws, y, ylen);
+ }
+
+ *q++ = q_hat;
+ --x;
+ *(ws - 1) = *x;
+ }
+}*/
+
+template<typename D, typename W, typename S>
+D basic_primitive_ops<D,W,S>::shift_bits_left(digit_type* x,
+ size_type xlen,
+ size_type n)
+{
+ assert(n > 0 && n < digit_bits);
+
+ // shift for msbs
+ const digit_type shift = digit_bits - n;
+
+ digit_type carry = 0;
+ while (xlen--)
+ {
+ const digit_type c = (*x >> shift);
+ *x = (*x << n) | carry;
+ carry = c;
+ ++x;
+ }
+
+ return carry;
+}
+template<typename D, typename W, typename S>
+void basic_primitive_ops<D,W,S>::shift_bits_right(digit_type* x,
+ size_type xlen,
+ size_type n)
+{
+ assert(n > 0 && n < digit_bits);
+
+ const digit_type mask = (digit_type(1) << n) - 1;
+
+ // shift for lsb
+ const digit_type shift = digit_bits - n;
+
+ x += xlen;
+
+ digit_type carry = 0;
+ while (xlen--)
+ {
+ --x;
+ const digit_type c = *x & mask;
+ *x = (*x >> n) | (carry << shift);
+ carry = c;
+ }
+}
+
+template<typename D, typename W, typename S>
+int basic_primitive_ops<D,W,S>::compare_magnitude(const digit_type* x,
+ size_type xlen,
+ const digit_type* y,
+ size_type ylen)
+{
+ if (xlen > ylen)
+ return 1;
+
+ if (xlen < ylen)
+ return -1;
+
+ // compare all digits
+ x += xlen;
+ y += ylen;
+ while (xlen--)
+ {
+ --x; --y;
+ if (*x > *y)
+ return 1;
+ if (*x < *y)
+ return -1;
+ }
+
+ return 0;
+}
+
+
+// This exists to ease development of primitive_ops specializations. If a
+// specialized function isn't available yet, the compiler will just choose the
+// inherited one. It also means that whenever we add a new function to
+// basic_primitive_ops no code will break since it will be available to all
+// specializations as well.
+template<typename D, typename W, typename S>
+struct primitive_ops : basic_primitive_ops<D,W,S>
+{};
+
+
+#else
+
+template<typename DigitT, typename SizeT>
+struct basic_primitive_ops
+{
+ typedef DigitT digit_type;
+ typedef SizeT size_type;
+
+ static const digit_type digit_bits = std::numeric_limits<digit_type>::digits;
+
+ // ADD ------------------------------------
+
+ // z = x + y, returns carry
+ static digit_type add(digit_type& z, digit_type x, digit_type y);
+
+ // z += x, returns carry
+ static digit_type add(digit_type& z, digit_type x);
+
+ // add y to the digits in x and store result in z
+ // xlen must be > 0
+ // returns: the last carry (it will not get stored in z)
+ static digit_type add_single_digit(digit_type* z,
+ const digit_type* x, size_type xlen,
+ digit_type y);
+
+ // z = x + y, returns last carry
+ static digit_type add_digits(digit_type* z,
+ const digit_type* x,
+ const digit_type* y,
+ size_type num);
+
+ // ripples the carry c up through n digits of x and stores results in z
+ // returns the number of digits the carry rippled through and stores the last
+ // carry in c. If there isn't a last carry then c will be 0.
+ static size_type ripple_carry(digit_type* z,
+ const digit_type* x,
+ size_type n,
+ digit_type& c);
+
+ // z = x + y, where xlen >= ylen
+ // returns last carry
+ static digit_type add_smaller_magnitude(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen);
+
+ // SUB ------------------------------------
+
+ // z = x - y, returns borrow
+ static digit_type sub(digit_type& z, digit_type x, digit_type y);
+
+ // z -= x, returns borrow
+ static digit_type sub(digit_type& z, digit_type x);
+
+ // subtracts x from the digits in y and store result in z
+ static void subtract_single_digit(digit_type* z,
+ const digit_type* x, size_type xlen,
+ digit_type y);
+
+ // z = x - y, returns last borrow
+ static digit_type subtract_digits(digit_type* z,
+ const digit_type* x,
+ const digit_type* y,
+ size_type num);
+
+ // ripples the borrow up through n digits of x and stores results in z
+ // returns the number of digits the borrow rippled through
+ static size_type ripple_borrow(digit_type* z,
+ const digit_type* x,
+ size_type n,
+ digit_type borrow);
+
+ // z = x - y, where x >= y
+ static void sub_smaller_magnitude(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen);
+
+ // MUL ------------------------------------
+
+ // z = x * y, returns high part of the product
+ static digit_type mul(digit_type& z, digit_type x, digit_type y);
+
+ // z *= x, returns high part of the product
+ static digit_type mul(digit_type& z, digit_type x);
+
+ // multiply y of length ylen with x and store result in z
+ // returns: the last carry (it will not get stored in z)
+ static digit_type multiply_by_digit(digit_type* z,
+ const digit_type* x, size_type xlen,
+ digit_type y);
+
+ // z = x * 2
+ static digit_type multiply_by_two(digit_type* z,
+ const digit_type* x, size_type len);
+
+ // z = x * y; precondition: xlen >= ylen
+ static void long_mul(digit_type* z, const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen);
+
+ // z = x * y; precondition: xlen >= ylen
+ static void comba_mul(digit_type* z, const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen);
+
+ // z = x * y; for numbers of the same size
+ static void comba_mul(digit_type* z,
+ const digit_type* x,
+ const digit_type* y, size_type xylen);
+
+ // z = x * y; precondition: xlen >= ylen and workspace must have at least ylen
+ // digits this function is only used by the integral ops interaction code, it
+ // allows x and z to be the same pointer.
+ static void comba_mul(digit_type* z, const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ digit_type* workspace);
+
+ // computes the lower num digits of the product of x and y
+ static void comba_mul_lo(digit_type* z, const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ size_type num);
+
+ // computes the high product of x and y without num least significant digits
+ // basically the result is: z = (x*y) >> radix^num
+ static void comba_mul_hi(digit_type* z, const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ size_type num);
+
+ // SQR ------------------------------------
+
+ // z = x * x;
+ static void comba_sqr(digit_type* z, const digit_type* x, size_type xlen);
+
+ // MADD ------------------------------------
+
+ // z = z + x * y, returns carry
+ static digit_type multiply_add(digit_type& z,
+ digit_type x, digit_type y);
+
+ // z = z + x * y, returns carry
+ static digit_type multiply_add(digit_type& z_hi, digit_type& z_lo,
+ digit_type x, digit_type y);
+
+ // z = z + x * y
+ static digit_type multiply_add_digits(digit_type* z,
+ const digit_type* x,
+ digit_type y,
+ size_type n);
+
+ // DIV -------------------------------------
+
+ // z = x / 2
+ static void divide_by_two(digit_type* z, const digit_type* x, size_type len);
+
+ // z = x / y
+ // returns remainder
+ static digit_type divide_by_digit(digit_type* z,
+ const digit_type* x, size_type xlen,
+ digit_type y);
+
+ // SHIFT -----------------------------------
+
+ // shifts x by n bits to the left, where n > 0 && n < digit_bits
+ // returns carry
+ static digit_type shift_bits_left(digit_type* x, size_type xlen, size_type n);
+
+ // shifts x by n bits to the right, where n > 0 && n < digit_bits
+ static void shift_bits_right(digit_type* x, size_type xlen, size_type n);
+
+ // CMP -------------------------------------
+
+ // returns 1 if x > y
+ // returns 0 if x == y
+ // returns -1 if x < y
+ static int compare_magnitude(const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen);
+
+private:
+
+ // divides half digits [x1, x2, x3] by [y1, y2] and returns remainder
+ // this function is used by divide_by_digit
+ static digit_type divide_half_digits(digit_type& q,
+ digit_type x12, digit_type x3,
+ digit_type y1, digit_type y2);
+};
+
+
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::add(digit_type& z, digit_type x, digit_type y)
+{
+ z = x + y;
+ return z < x;
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::add(digit_type& z, digit_type x)
+{
+ z += x;
+ return z < x;
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::add_single_digit(digit_type* z,
+ const digit_type* x,
+ size_type xlen,
+ digit_type y)
+{
+ digit_type carry = add(*z++, *x++, y);
+
+ while (carry && --xlen)
+ carry = add(*z++, *x++, carry);
+
+ return carry;
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::add_digits(digit_type* z,
+ const digit_type* x,
+ const digit_type* y, size_type n)
+{
+ digit_type carry = 0;
+ while (n--)
+ {
+ const digit_type c0 = add(*z, *x++, *y++);
+ const digit_type c1 = add(*z++, carry);
+ carry = c0 | c1;
+ }
+
+ return carry;
+}
+
+template<typename D, typename S>
+inline
+S basic_primitive_ops<D,S>::ripple_carry(digit_type* z,
+ const digit_type* x,
+ size_type n,
+ digit_type& carry)
+{
+ size_type i = 0;
+
+ for (; carry && (i < n); ++i)
+ carry = add(*z++, *x++, carry);
+
+ return i;
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::add_smaller_magnitude(digit_type* z,
+ const digit_type* x,
+ size_type xlen,
+ const digit_type* y,
+ size_type ylen)
+{
+ digit_type carry = add_digits(z, x, y, ylen);
+
+ size_type n = ripple_carry(z + ylen, x + ylen, xlen - ylen, carry);
+
+ n += ylen;
+
+ if (n < xlen && z != x)
+ std::memcpy(z + n, x + n, sizeof(digit_type) * (xlen - n));
+
+ return carry;
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::sub(digit_type& z, digit_type x, digit_type y)
+{
+ z = x - y;
+ return z > x;
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::sub(digit_type& z, digit_type x)
+{
+ const digit_type tmp = z;
+ z -= x;
+ return z > tmp;
+}
+
+template<typename D, typename S>
+inline
+void
+basic_primitive_ops<D,S>::subtract_single_digit(digit_type* z,
+ const digit_type* y,
+ size_type ylen,
+ digit_type x)
+{
+ digit_type borrow = sub(*z++, *y++, x);
+
+ while (borrow && --ylen)
+ borrow = sub(*z++, *y++, borrow);
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::subtract_digits(digit_type* z,
+ const digit_type* x,
+ const digit_type* y,
+ size_type n)
+{
+ digit_type borrow = 0;
+
+ while (n--)
+ {
+ const digit_type b0 = sub(*z, *x++, *y++);
+ const digit_type b1 = sub(*z++, borrow);
+ borrow = b0 | b1;
+ }
+
+ return borrow;
+}
+
+template<typename D, typename S>
+inline
+S basic_primitive_ops<D,S>::ripple_borrow(digit_type* z,
+ const digit_type* x,
+ size_type n,
+ digit_type borrow)
+{
+ size_type i = 0;
+
+ for (; borrow && (i < n); ++i)
+ borrow = sub(*z++, *x++, borrow);
+
+ return i;
+}
+
+template<typename D, typename S>
+inline
+void basic_primitive_ops<D,S>::sub_smaller_magnitude(
+ digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen)
+{
+ const digit_type borrow = subtract_digits(z, x, y, ylen);
+
+ size_type n = ripple_borrow(z + ylen, x + ylen, xlen - ylen, borrow);
+
+ if (z != x)
+ {
+ n += ylen;
+ std::memcpy(z + n, x + n, (xlen - n) * sizeof(digit_type));
+ }
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::mul(digit_type& z_lo, digit_type x, digit_type y)
+{
+ static const digit_type lo_mask = (1 << digit_bits / 2) - 1;
+
+ const digit_type x_lo = x & lo_mask;
+ const digit_type x_hi = x >> digit_bits/2;
+ const digit_type y_lo = y & lo_mask;
+ const digit_type y_hi = y >> digit_bits/2;
+
+ const digit_type z0 = x_lo * y_lo;
+ const digit_type z1 = x_lo * y_hi;
+ const digit_type z2 = x_hi * y_lo;
+ const digit_type z3 = x_hi * y_hi;
+
+ digit_type z12 = z1 + (z0 >> digit_bits/2);
+ const digit_type carry = add(z12, z2);
+
+ z_lo = (z12 << digit_bits/2) + (z0 & lo_mask);
+
+ const digit_type z_hi = z3 + (carry << digit_bits/2) + (z12 >> digit_bits/2);
+
+ return z_hi;
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::mul(digit_type& z, digit_type x)
+{
+ return mul(z, z, x);
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::multiply_by_digit(digit_type* z,
+ const digit_type* y,
+ size_type ylen,
+ digit_type x)
+{
+ digit_type carry = 0;
+
+ while (ylen--)
+ {
+ const digit_type tmp = mul(*z, *y++, x);
+ carry = tmp + add(*z++, carry);
+ }
+
+ return carry;
+}
+
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::multiply_by_two(digit_type* z,
+ const digit_type* x, size_type n)
+{
+ static const digit_type one = 1U;
+
+ digit_type carry = 0;
+
+ while (n--)
+ {
+ // get carry bit for next iteration
+ const digit_type r = *x >> (digit_bits - one);
+
+ *z++ = (*x++ << one) | carry;
+
+ carry = r;
+ }
+
+ return carry;
+}
+
+template<typename D, typename S>
+void
+basic_primitive_ops<D,S>::long_mul(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen)
+{
+ assert(xlen >= ylen);
+ z[xlen] = multiply_by_digit(z++, x, xlen, *(y++));
+ --ylen;
+ while(--ylen)
+ z[xlen] = multiply_add_digits(z++, x, xlen, *(y++));
+}
+
+template<typename D, typename S>
+void
+basic_primitive_ops<D,S>::comba_mul(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen)
+{
+ assert(xlen >= ylen);
+
+ digit_type acc_hi = 0; // accumulator for each column
+ digit_type acc_lo = 0;
+ digit_type carry_hi = 0;
+ digit_type carry_lo = 0;
+
+ // phase 1
+ for (size_type i = 0; i < ylen; ++i)
+ {
+ const digit_type* a = x;
+ const digit_type* b = y + i;
+
+ for (size_type j = 0; j <= i; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ // phase 2
+ for (size_type i = 0; i < xlen - ylen; ++i)
+ {
+ const digit_type* a = x + 1 + i;
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = 0; j < ylen; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ // phase 3
+ for (size_type i = 0; i < ylen - 1; ++i)
+ {
+ const digit_type* a = x + xlen - (ylen - 1) + i;
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = i + 1; j < ylen; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ *z = acc_lo;
+}
+
+template<typename D, typename S>
+void
+basic_primitive_ops<D,S>::comba_mul(digit_type* z,
+ const digit_type* x,
+ const digit_type* y, size_type xylen)
+{
+ digit_type acc_hi = 0; // accumulator for each column
+ digit_type acc_lo = 0;
+ digit_type carry_hi = 0;
+ digit_type carry_lo = 0;
+
+ // phase 1
+ for (size_type i = 0; i < xylen; ++i)
+ {
+ const digit_type* a = x;
+ const digit_type* b = y + i;
+
+ for (size_type j = 0; j <= i; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ // phase 2
+ for (size_type i = 1; i < xylen; ++i)
+ {
+ const digit_type* a = y + xylen - 1;
+ const digit_type* b = x + i;
+
+ for (size_type j = 0; j < xylen - i; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a--, *b++);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ *z = acc_lo;
+}
+
+template<typename D, typename S>
+void
+basic_primitive_ops<D,S>::comba_mul(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ digit_type* workspace)
+{
+ assert(xlen >= ylen);
+
+ digit_type* w = workspace;
+ digit_type acc_hi = 0; // accumulator for each column
+ digit_type acc_lo = 0;
+ digit_type carry_hi = 0;
+ digit_type carry_lo = 0;
+
+ // phase 1
+ for (size_type i = 0; i < ylen; ++i)
+ {
+ const digit_type* a = x;
+ const digit_type* b = y + i;
+
+ for (size_type j = 0; j <= i; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *w++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ w -= ylen;
+
+ // phase 2
+ for (size_type i = 0; i < xlen - ylen; ++i)
+ {
+ const digit_type* a = x + 1 + i;
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = 0; j < ylen; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = *w;
+ *w++ = acc_lo;
+
+ if (static_cast<size_type>(w - workspace) == ylen)
+ w -= ylen;
+
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ // phase 3
+ for (size_type i = 0; i < ylen - 1; ++i)
+ {
+ const digit_type* a = x + xlen - (ylen - 1) + i;
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = i + 1; j < ylen; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = *w;
+ *w++ = acc_lo;
+
+ if (static_cast<size_type>(w - workspace) == ylen)
+ w -= ylen;
+
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ const digit_type* ws_index = w;
+
+ while (w < (workspace + ylen))
+ *z++ = *w++;
+
+ w = workspace;
+
+ while (w < ws_index)
+ *z++ = *w++;
+
+ *z = acc_lo;
+}
+
+template<typename D, typename S>
+void
+basic_primitive_ops<D,S>::comba_mul_lo(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ size_type num)
+{
+ //assert(xlen >= ylen);
+ assert(num <= (xlen + ylen));
+
+ digit_type acc_hi = 0; // accumulator for each column
+ digit_type acc_lo = 0;
+ digit_type carry_hi = 0;
+ digit_type carry_lo = 0;
+
+ // phase 1
+ if (num)
+ {
+ const size_type m = ylen < num ? ylen : num;
+ for (size_type i = 0; i < m; ++i)
+ {
+ const digit_type* a = x;
+ const digit_type* b = y + i;
+
+ for (size_type j = 0; j <= i; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+ }
+
+ // phase 2
+ if (num >= ylen)
+ {
+ const size_type m = xlen - ylen < num ? xlen - ylen : num;
+ for (size_type i = 0; i < m; ++i)
+ {
+ const digit_type* a = x + 1 + i;
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = 0; j < ylen; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+ }
+
+ // phase 3
+ if (num >= xlen + ylen)
+ {
+ const size_type m = ylen - 1 < num ? ylen - 1 : num;
+ for (size_type i = 0; i < m; ++i)
+ {
+ const digit_type* a = x + xlen - (ylen - 1);
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = i + 1; j < ylen; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+ }
+
+ *z = acc_lo;
+}
+
+template<typename D, typename S>
+void
+basic_primitive_ops<D,S>::comba_mul_hi(digit_type* z,
+ const digit_type* x, size_type xlen,
+ const digit_type* y, size_type ylen,
+ size_type num)
+{
+ //assert(xlen >= ylen);
+ assert(num > 0);
+ assert(num < (xlen + ylen));
+
+ digit_type acc_hi = 0; // accumulator for each column
+ digit_type acc_lo = 0;
+ digit_type carry_hi = 0;
+ digit_type carry_lo = 0;
+
+ // phase 1
+ if (num < ylen)
+ {
+ for (size_type i = num; i < ylen; ++i)
+ {
+ const digit_type* a = x;
+ const digit_type* b = y + i;
+
+ for (size_type j = 0; j <= i; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+ }
+
+ // phase 2
+ if (num < xlen)
+ {
+ for (size_type i = num - ylen; i < xlen - ylen; ++i)
+ {
+ const digit_type* a = x + 1 + i;
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = 0; j < ylen; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+ }
+
+ // phase 3
+ if (num < (xlen + ylen))
+ {
+ for (size_type i = num - (xlen + ylen); i < ylen - 1; ++i)
+ {
+ const digit_type* a = x + xlen - (ylen - 1);
+ const digit_type* b = y + ylen - 1;
+
+ for (size_type j = i + 1; j < ylen; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+ }
+
+ *z = acc_lo;
+}
+
+template<typename D, typename S>
+void
+basic_primitive_ops<D,S>::comba_sqr(digit_type* z,
+ const digit_type* x,
+ size_type xlen)
+{
+ digit_type acc_hi = 0; // accumulator for each column
+ digit_type acc_lo = 0;
+ digit_type carry_hi = 0;
+ digit_type carry_lo = 0;
+
+ // phase 1
+ for (size_type i = 0; i < xlen; ++i)
+ {
+ const digit_type* a = x;
+ const digit_type* b = x + i;
+
+ for (size_type j = 0; j <= i; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ // phase 2
+ for (size_type i = 1; i < xlen; ++i)
+ {
+ const digit_type* a = x + i;
+ const digit_type* b = x + xlen - 1;
+
+ for (size_type j = 0; j < xlen - i; ++j)
+ {
+ const digit_type carry = multiply_add(acc_hi, acc_lo, *a++, *b--);
+ carry_hi += add(carry_lo, carry);
+ carry_hi += add(carry_lo, acc_hi);
+ acc_hi = 0;
+ }
+
+ *z++ = acc_lo;
+ acc_lo = carry_lo;
+ carry_lo = carry_hi;
+ carry_hi = 0;
+ }
+
+ *z = acc_lo;
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::multiply_add(digit_type& z_hi, digit_type& z_lo,
+ digit_type x, digit_type y)
+{
+ static const digit_type lo_mask = (1 << digit_bits / 2) - 1;
+
+ const digit_type x_lo = x & lo_mask;
+ const digit_type x_hi = x >> digit_bits/2;
+ const digit_type y_lo = y & lo_mask;
+ const digit_type y_hi = y >> digit_bits/2;
+
+ const digit_type z0 = x_lo * y_lo;
+ const digit_type z1 = x_lo * y_hi;
+ const digit_type z2 = x_hi * y_lo;
+ const digit_type z3 = x_hi * y_hi;
+
+ digit_type z12 = z1 + (z0 >> digit_bits/2);
+ const digit_type carry = add(z12, z2);
+
+ const digit_type w_lo = (z12 << digit_bits/2) + (z0 & lo_mask);
+ const digit_type w_hi = z3 + (carry << digit_bits/2) + (z12 >> digit_bits/2);
+
+ digit_type u = add(z_lo, w_lo);
+ digit_type v = add(z_hi, u);
+
+ return v + add(z_hi, w_hi);
+}
+
+template<typename D, typename S>
+inline
+D basic_primitive_ops<D,S>::multiply_add(digit_type& z,
+ digit_type x, digit_type y)
+{
+ static const digit_type lo_mask = (1 << digit_bits / 2) - 1;
+
+ const digit_type x_lo = x & lo_mask;
+ const digit_type x_hi = x >> digit_bits/2;
+ const digit_type y_lo = y & lo_mask;
+ const digit_type y_hi = y >> digit_bits/2;
+
+ const digit_type z0 = x_lo * y_lo;
+ const digit_type z1 = x_lo * y_hi;
+ const digit_type z2 = x_hi * y_lo;
+ const digit_type z3 = x_hi * y_hi;
+
+ digit_type z12 = z1 + (z0 >> digit_bits/2);
+ const digit_type carry = add(z12, z2);
+
+ const digit_type w_lo = (z12 << digit_bits/2) + (z0 & lo_mask);
+ const digit_type w_hi = z3 + (carry << digit_bits/2) + (z12 >> digit_bits/2);
+
+ const digit_type u = add(z, w_lo);
+
+ return u + w_hi;
+}
+
+template<typename D, typename S>
+D basic_primitive_ops<D,S>::multiply_add_digits(digit_type* z,
+ const digit_type* x,
+ digit_type y,
+ size_type n)
+{
+ digit_type carry = 0;
+ while (n--)
+ {
+ carry = add(*z, carry);
+ carry += multiply_add(*z, *x, y);
+ ++z; ++x;
+ }
+
+ return carry;
+}
+
+template<typename D, typename S>
+inline
+void basic_primitive_ops<D,S>::divide_by_two(digit_type* z,
+ const digit_type* x, size_type n)
+{
+ z += n - 1;
+ x += n - 1;
+
+ digit_type carry = 0;
+
+ while (n--)
+ {
+ // get carry for next iteration
+ const digit_type r = *x & 1;
+
+ *z-- = (*x-- >> 1) | (carry << (digit_bits - 1));
+
+ carry = r;
+ }
+}
+
+template<typename D, typename S>
+D basic_primitive_ops<D,S>::divide_by_digit(digit_type* z,
+ const digit_type* x, size_type n,
+ digit_type y)
+{
+ /*if (n == 1)
+ {
+ *z = *x / y;
+ return *x % y;
+ }*/
+ static const digit_type lo_mask = (1 << digit_bits / 2) - 1;
+ static const digit_type hi_mask = lo_mask << (digit_bits / 2);
+ static const digit_type hi_bit = 1 << (digit_bits - 1);
+ static const digit_type d2 = digit_bits / 2;
+
+ z += n - 1;
+ x += n - 1;
+
+ digit_type w_hi, w_lo = 0;
+
+ if (y & hi_bit) // if y is normalized
+ {
+ while (n--)
+ {
+ w_hi = w_lo;
+ w_lo = *x--;
+ // Do a 2 digit by 1 digit division -> [w_hi, w_lo] / y
+ if (w_hi || w_lo >= y) // if w >= y
+ {
+ digit_type q_hi, q_lo;
+ const digit_type rem = divide_half_digits(
+ q_hi,
+ w_hi, (w_lo & hi_mask) >> d2,
+ (y & hi_mask) >> d2, y & lo_mask);
+
+ w_lo = divide_half_digits(
+ q_lo,
+ rem, w_lo & lo_mask,
+ (y & hi_mask) >> d2, y & lo_mask);
+
+ if (w_hi >= y)
+ ++q_lo;
+
+ *z-- = (q_hi << d2) | q_lo;
+ }
+ else
+ *z-- = 0;
+
+ // q is never larger than one digit because w_hi is always set to the
+ // remainder and thus w_hi can never be greater than y which is the
+ // precondition for producing a quotient carry.
+ // TODO we could do a 2 by 1 division before the loop, that could produce
+ // a q carry. And then continue on as usual.
+ }
+
+ return w_lo;
+ }
+ else
+ {
+ // count leading zeros
+ unsigned norm = 0;
+ while (!(y & hi_bit))
+ {
+ ++norm;
+ y <<= 1;
+ }
+
+ // we're going to normalize the number in place
+ const digit_type shift = digit_bits - norm;
+
+ w_hi = *x >> shift;
+
+ while (n--)
+ {
+ w_lo = (*x << norm);
+ if (n)
+ {
+ --x;
+ w_lo |= *x >> shift;
+ }
+
+ // Do a 2 digit by 1 digit division -> [w_hi, w_lo] / y
+ if (w_hi || w_lo >= y) // if w >= y
+ {
+ digit_type q_hi, q_lo;
+ const digit_type rem = divide_half_digits(
+ q_hi,
+ w_hi, (w_lo & hi_mask) >> d2,
+ (y & hi_mask) >> d2, y & lo_mask);
+
+ w_lo = divide_half_digits(
+ q_lo,
+ rem, w_lo & lo_mask,
+ (y & hi_mask) >> d2, y & lo_mask);
+
+ *z-- = (q_hi << d2) | q_lo;
+ }
+ else
+ *z-- = 0;
+
+ w_hi = w_lo;
+ }
+
+ return w_lo >> norm;
+ }
+}
+
+template<typename D, typename S>
+D basic_primitive_ops<D,S>::divide_half_digits(digit_type& q,
+ digit_type x12, digit_type x3,
+ digit_type y1, digit_type y2)
+{
+ const digit_type y = (y1 << digit_bits / 2) | y2;
+ //if (x12 >= y)
+ // x12 -= y;
+
+ q = x12 / y1;
+
+ const digit_type c = x12 - q * y1;
+ const digit_type D_ = q * y2;
+
+ digit_type R = (c << digit_bits / 2) | x3;
+
+ if (R < D_) // R is too large by at most 2
+ {
+ static const digit_type z = ~digit_type(0);
+ --q;
+ R += y;
+ if (R < y) // overflow
+ return z - D_ + R + 1;
+ if (R < D_)
+ {
+ --q;
+ R += y;
+ if (R < y) // overflow
+ return z - D_ + R + 1;
+ }
+ }
+
+ return R - D_;
+}
+
+template<typename D, typename S>
+D basic_primitive_ops<D,S>::shift_bits_left(digit_type* x,
+ size_type xlen,
+ size_type n)
+{
+ assert(n > 0 && n < digit_bits);
+
+ // shift for msbs
+ const digit_type shift = digit_bits - n;
+
+ digit_type carry = 0;
+ while (xlen--)
+ {
+ const digit_type c = (*x >> shift);
+ *x = (*x << n) | carry;
+ carry = c;
+ ++x;
+ }
+
+ return carry;
+}
+
+template<typename D, typename S>
+void basic_primitive_ops<D,S>::shift_bits_right(digit_type* x,
+ size_type xlen,
+ size_type n)
+{
+ assert(n > 0 && n < digit_bits);
+
+ const digit_type mask = (digit_type(1) << n) - 1;
+
+ // shift for lsb
+ const digit_type shift = digit_bits - n;
+
+ x += xlen;
+
+ digit_type carry = 0;
+ while (xlen--)
+ {
+ --x;
+ const digit_type c = *x & mask;
+ *x = (*x >> n) | (carry << shift);
+ carry = c;
+ }
+}
+
+template<typename D, typename S>
+int basic_primitive_ops<D,S>::compare_magnitude(const digit_type* x,
+ size_type xlen,
+ const digit_type* y,
+ size_type ylen)
+{
+ if (xlen > ylen)
+ return 1;
+
+ if (xlen < ylen)
+ return -1;
+
+ // compare all digits
+ x += xlen;
+ y += ylen;
+ while (xlen--)
+ {
+ --x; --y;
+ if (*x > *y)
+ return 1;
+ if (*x < *y)
+ return -1;
+ }
+
+ return 0;
+}
+
+template<typename D, typename S>
+struct primitive_ops : basic_primitive_ops<D,S>
+{};
+
+#endif
+
+
+
+
+/*
+// Here we include primitive_ops specializations that use assembler
+
+#if defined(BOOST_MP_MATH_INTEGER_USE_ASM)
+
+ #if defined(__GNU__)
+ #if defined(__386__)
+ #include <boost/mp_math/mp_int/detail/base/asm/x86/gnu_386_primitive_ops.hpp>
+ #endif
+ #endif
+
+#endif
+*/
+} // namespace base
} // namespace detail
} // namespace mp_math
} // namespace boost
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/shifter.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/shifter.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,154 @@
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_SHIFTER_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_SHIFTER_HPP
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+template<class ApInt, bool IsSigned=ApInt::is_signed>
+struct shifter;
+
+
+template<class ApInt>
+struct shifter<ApInt, false>
+{
+ typedef ApInt int_type;
+ typedef typename int_type::traits_type traits_type;
+ typedef typename traits_type::ops_type ops_type;
+ typedef typename int_type::digit_type digit_type;
+ typedef typename int_type::size_type size_type;
+
+ static void shift_bits_left (ApInt& z, size_type n);
+ static void shift_bits_right(ApInt& z, size_type n);
+
+ static void shift_digits_left(ApInt& z, size_type n);
+ static void shift_digits_right(ApInt& z, size_type n);
+};
+
+
+template<class ApInt>
+void shifter<ApInt,false>::shift_bits_left(ApInt& z, size_type n)
+{
+ assert(z != digit_type(0));
+
+ if (n)
+ {
+ // shift by as many digits in the bit count
+ if (n >= traits_type::radix_bits)
+ shift_digits_left(z, n / traits_type::radix_bits);
+
+ // shift any bit count < radix_bits
+ const digit_type b = static_cast<digit_type>(n % traits_type::radix_bits);
+
+ if (b)
+ {
+ const digit_type carry =
+ ops_type::shift_bits_left(z.digits(), z.size(), b);
+
+ if (carry)
+ z.push(carry);
+ }
+ }
+}
+
+template<class ApInt>
+void shifter<ApInt,false>::shift_bits_right(ApInt& z, size_type n)
+{
+ if (n)
+ {
+ // shift by as many digits in the bit count
+ if (n >= traits_type::radix_bits)
+ shift_digits_right(z, n / traits_type::radix_bits);
+
+ // shift any bit count < valid_bits
+ const digit_type b = n % traits_type::radix_bits;
+ if (b)
+ ops_type::shift_bits_right(z.digits(), z.size(), b);
+
+ z.clamp_high_digit();
+ }
+}
+
+// {A,B,C,D,E} shifted left by 2 digits becomes
+// {0,0,A,B,C,D,E}
+template<class ApInt>
+void shifter<ApInt,false>::shift_digits_left(ApInt& z, size_type n)
+{
+ assert(z != digit_type(0));
+
+ if (n == 0)
+ return;
+
+ std::memmove(z.digits() + n, z.digits(), z.size() * sizeof(digit_type));
+
+ // zero the lower digits
+ std::memset(z.digits(), 0, n * sizeof(digit_type));
+
+ z.set_size(z.size() + n);
+}
+
+// {A,B,C,D,E} shifted right by 2 digits becomes
+// {C,D,E}
+template<class ApInt>
+void shifter<ApInt,false>::shift_digits_right(ApInt& z, size_type n)
+{
+ if (n == 0)
+ return;
+
+ if (z.size() <= n)
+ {
+ z = digit_type(0);
+ return;
+ }
+
+ std::memmove(z.digits(), z.digits() + n, (z.size() - n) * sizeof(digit_type));
+
+ z.set_size(z.size() - n);
+}
+
+
+template<class ApInt>
+struct shifter<ApInt, true>
+{
+ typedef ApInt int_type;
+ typedef typename int_type::size_type size_type;
+
+ static void shift_bits_left(ApInt& z, size_type n)
+ {
+ shifter<ApInt, false>::shift_bits_left(z, n);
+ }
+
+ static void shift_bits_right(ApInt& z, size_type n)
+ {
+ shifter<ApInt, false>::shift_bits_right(z, n);
+ if (!z)
+ z.set_sign_bit(0);
+ }
+
+ static void shift_digits_left(ApInt& z, size_type n)
+ {
+ shifter<ApInt, false>::shift_digits_left(z, n);
+ }
+
+ static void shift_digits_right(ApInt& z, size_type n)
+ {
+ shifter<ApInt, false>::shift_digits_right(z, n);
+ }
+};
+
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/to_integral.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/to_integral.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,183 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_TO_INTEGRAL_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_TO_INTEGRAL_HPP
+
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+// TODO throw std::overflow_error?
+
+template<
+ class ApInt,
+ typename IntegralT,
+ bool fits = static_cast<unsigned int>(std::numeric_limits<IntegralT>::digits)
+ <= ApInt::traits_type::radix_bits
+>
+struct converter_base;
+
+
+template<class ApInt, typename IntegralT>
+struct converter_base<ApInt, IntegralT, false>
+{
+ typedef typename ApInt::size_type size_type;
+ static IntegralT convert(const ApInt& x, size_type x_precision);
+};
+
+
+template<class ApInt, typename IntegralT>
+IntegralT
+converter_base<ApInt, IntegralT, false>::convert(
+ const ApInt& x, size_type x_precision)
+{
+ IntegralT y = 0;
+ const typename ApInt::digit_type* d = x.digits() + x.size() - 1;
+
+ for (size_type i = 0; i < x_precision; i += ApInt::traits_type::radix_bits)
+ {
+ y <<= ApInt::traits_type::radix_bits;
+ y |= *d--;
+ }
+ return y;
+}
+
+
+template<class ApInt, typename IntegralT>
+struct converter_base<ApInt, IntegralT, true>
+{
+ typedef typename ApInt::size_type size_type;
+ static IntegralT convert(const ApInt& x, size_type /*x_precision*/)
+ {
+ return static_cast<IntegralT>(x[0]);
+ }
+};
+
+
+template<
+ class ApInt,
+ typename IntegralT,
+ bool Is_ApInt_Signed = ApInt::is_signed,
+ bool Is_IntegralT_Signed = std::numeric_limits<IntegralT>::is_signed
+>
+struct to_integral_converter;
+
+
+template<class ApInt, typename IntegralT>
+struct to_integral_converter<ApInt, IntegralT, false, false>
+{
+ typedef typename ApInt::size_type size_type;
+
+ static IntegralT convert_without_check(const ApInt& x, size_type x_precision)
+ {
+ return converter_base<ApInt, IntegralT>::convert(x, x_precision);
+ }
+
+ static void check(size_type p)
+ {
+ if (p > static_cast<size_type>(std::numeric_limits<IntegralT>::digits))
+ throw std::runtime_error("to_integral_converter::check: "
+ "integral type does not have enough precision to hold result");
+ }
+
+ static IntegralT convert(const ApInt& x)
+ {
+ const size_type p = x.precision();
+ check(p);
+ return convert_without_check(x, p);
+ }
+};
+
+
+template<class ApInt, typename IntegralT>
+struct to_integral_converter<ApInt, IntegralT, false, true>
+{
+ typedef typename ApInt::size_type size_type;
+ typedef typename make_unsigned<IntegralT>::type unsigned_type;
+
+ static void check(size_type p)
+ {
+ to_integral_converter<ApInt, IntegralT, false, false>::check(p);
+ }
+
+ static IntegralT convert(const ApInt& x)
+ {
+ return static_cast<IntegralT>(
+ to_integral_converter<ApInt, unsigned_type, false, false>::convert(x));
+ }
+};
+
+
+template<class ApInt, typename IntegralT>
+struct to_integral_converter<ApInt, IntegralT, true, false>
+{
+ typedef typename ApInt::size_type size_type;
+
+ static void check(size_type p)
+ {
+ to_integral_converter<ApInt, IntegralT, false, false>::check(p);
+ }
+
+ static IntegralT convert(const ApInt& x)
+ {
+ const size_type p = x.precision();
+ check(p);
+ if (x.is_positive())
+ return to_integral_converter<ApInt, IntegralT, false, false>::
+ convert_without_check(x, p);
+ else
+ throw std::runtime_error("to_integral_converter::convert: "
+ "cannot convert negative number to unsigned integral type");
+ }
+};
+
+
+template<class ApInt, typename IntegralT>
+struct to_integral_converter<ApInt, IntegralT, true, true>
+{
+ typedef typename ApInt::size_type size_type;
+
+ static void check(size_type p)
+ {
+ // TODO static_cast<unsigned_type>(-IntegralT::min())
+ // check if x fits into the unsigned type,
+ // if yes then convert and check against the absolute min value and the max
+ // else throw exception
+ //
+ // It is not the right thing to check only the precision, change to non
+ // static member function, add reset member function, store precision as
+ // member variable and change signature to check(const ApInt& x);
+ }
+
+ static IntegralT convert(const ApInt& x)
+ {
+ const size_type p = x.precision();
+ check(p);
+
+ typedef typename make_unsigned<IntegralT>::type unsigned_type;
+ const unsigned_type y =
+ to_integral_converter<ApInt, unsigned_type, false, false>::
+ convert_without_check(x, p);
+
+ if (x.is_positive())
+ return static_cast<IntegralT>(y);
+ else
+ return -static_cast<IntegralT>(y);
+ }
+};
+
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_int.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_int.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,226 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_INT_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_INT_HPP
+
+#include <boost/mp_math/integer/detail/base/unbounded_int_integral.hpp>
+#include <boost/mp_math/integer/detail/base/unbounded_uint.hpp>
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+// This class template inherits from unbounded_uint and adds functionality
+// which is meaningful to signed integers.
+
+// We store the sign in the high bit of capacity_ since capacity_ isn't updated
+// as often as size_. This also allows unbounded_uint to function
+// uninhibitedly since it will only update size_ but not capacity_.
+
+template<class Traits, bool Debug>
+struct unbounded_int
+:
+ unbounded_uint<Traits, Debug>
+{
+protected:
+
+ template<typename IntegralT>
+ struct integral_ops
+ :
+ unbounded_int_integral_ops<unbounded_int<Traits>, IntegralT>
+ {};
+
+public:
+
+ typedef Traits traits_type;
+ typedef unbounded_uint<Traits, Debug> magnitude_type;
+ typedef typename magnitude_type::digit_type digit_type;
+ typedef typename magnitude_type::size_type size_type;
+
+ static const bool is_signed = true;
+
+private:
+
+ static const size_type sign_bit_ =
+ size_type(1) << (std::numeric_limits<size_type>::digits - 1U);
+
+public:
+
+ unbounded_int(){}
+
+ unbounded_int(digit_type* d, size_type size, size_type capacity)
+ :
+ magnitude_type(d, size, capacity)
+ {}
+
+ bool is_positive() const
+ {
+ return !(magnitude_type::capacity_ & sign_bit_);
+ }
+
+ bool is_negative() const
+ {
+ return magnitude_type::capacity_ & sign_bit_;
+ }
+
+ size_type capacity() const
+ {
+ return magnitude_type::capacity_ & ~sign_bit_;
+ }
+
+ void set_capacity(size_type c)
+ {
+ magnitude_type::capacity_ = c | (magnitude_type::capacity_ & sign_bit_);
+ }
+
+ int sign() const
+ {
+ return (magnitude_type::capacity_ & sign_bit_) ? -1 : 1;
+ }
+
+ void set_sign(int s)
+ {
+ if (s == 1)
+ magnitude_type::capacity_ &= ~sign_bit_;
+ else
+ magnitude_type::capacity_ |= sign_bit_;
+ }
+
+ bool sign_bit() const { return magnitude_type::capacity_ & sign_bit_; }
+
+ void set_sign_bit(bool s)
+ {
+ magnitude_type::capacity_ &= ~sign_bit_;
+ magnitude_type::capacity_ |= static_cast<size_type>(s)
+ << (std::numeric_limits<size_type>::digits - 1U);
+ }
+
+ unbounded_int& operator ++()
+ {
+ integral_ops<digit_type>::add(*this, 1);
+ return *this;
+ }
+
+ unbounded_int& operator --()
+ {
+ integral_ops<digit_type>::subtract(*this, 1);
+ return *this;
+ }
+
+ unbounded_int& operator |= (const unbounded_int& rhs)
+ {
+ bitwise_ops<unbounded_int>::or_bits(*this, *this, rhs);
+ return *this;
+ }
+
+ unbounded_int& operator &= (const unbounded_int& rhs)
+ {
+ bitwise_ops<unbounded_int>::and_bits(*this, *this, rhs);
+ return *this;
+ }
+
+ unbounded_int& operator ^= (const unbounded_int& rhs)
+ {
+ bitwise_ops<unbounded_int>::xor_bits(*this, *this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator += (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::add(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator -= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::subtract(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator *= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::multiply(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator /= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::divide(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator %= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::modulo(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator |= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::bitwise_or(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator &= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::bitwise_and(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator ^= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::bitwise_xor(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ IntegralT to_integral() const
+ {
+ return to_integral_converter<
+ unbounded_int<traits_type, Debug>, IntegralT>::convert(*this);
+ }
+
+ void truncate(size_type prec)
+ {
+ magnitude_type::truncate(prec);
+ if (magnitude_type::is_uninitialized())
+ set_sign_bit(0);
+ }
+
+ void print(bool all = false) const
+ {
+ if (is_negative())
+ std::cout << "-";
+ magnitude_type::print(all);
+ }
+};
+
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_int_fwd.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_int_fwd.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,23 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_INT_FWD_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_INT_FWD_HPP
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+template<class Traits, bool Debug = Traits::enable_debug_mode>
+struct unbounded_int;
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_int_integral.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_int_integral.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,905 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_INT_INTEGRAL_OPS_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_INT_INTEGRAL_OPS_HPP
+
+#include <boost/mp_math/integer/detail/base/unbounded_int_fwd.hpp>
+#include <boost/mp_math/integer/detail/base/unbounded_uint_integral.hpp>
+
+// Here we optimize interaction with built in integral types.
+// This code is hairy and subtle.
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+// We create four partial specializations out of this class template:
+// 1) IntegralT = digit_type, is_signed = false
+// 2) IntegralT = make_signed<digit_type>, is_signed = true
+// 3) is_signed = false
+// 4) is_signed = true
+// The actual dispatching to the correct specialization is done in
+// unbounded_int_integral_ops.
+// All IntegralT that fit into a digit_type are dispatched to 1).
+// All IntegralT that fit into a 'signed digit_type' are dispatched to 2).
+// All IntegralT larger than a digit_type are dispatched to 3).
+// All IntegralT larger than a 'signed digit_type' are dispatched to 4).
+template<
+ class UnboundedInt,
+ typename IntegralT,
+ bool IsSigned = std::numeric_limits<IntegralT>::is_signed
+>
+struct unbounded_int_integral_ops_impl;
+
+
+// 1)
+template<class UnboundedInt>
+struct unbounded_int_integral_ops_impl<
+ UnboundedInt,
+ typename UnboundedInt::digit_type,
+ false
+>
+{
+ typedef UnboundedInt unbounded_int_type;
+ typedef typename unbounded_int_type::digit_type integral_type;
+ typedef typename unbounded_int_type::traits_type traits_type;
+
+ typedef unbounded_uint_integral_ops<
+ unbounded_int_type, integral_type
+ > magnitude_type_integral_ops;
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs[0] = rhs;
+ lhs.set_size(1);
+ lhs.set_sign_bit(0);
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.is_negative())
+ return false;
+ if (lhs.size() > 1)
+ return false;
+ return lhs[0] == rhs;
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.is_negative())
+ return true;
+ if (lhs.size() > 1)
+ return false;
+ return lhs[0] < rhs;
+ }
+
+ static void add (unbounded_int_type& lhs, integral_type rhs);
+ static void subtract(unbounded_int_type& lhs, integral_type rhs);
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ multiply(lhs, lhs, rhs);
+ }
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y);
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::divide(lhs, rhs);
+ if (!lhs)
+ lhs.set_sign_bit(0);
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::modulo(lhs, rhs);
+ // TODO sign
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs[0] |= rhs;
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs[0] &= rhs;
+ lhs.set_sign_bit(0);
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs[0] ^= rhs;
+ }
+};
+
+
+template<class UnboundedInt>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt, typename UnboundedInt::digit_type, false
+>::add(unbounded_int_type& lhs, integral_type rhs)
+{
+ if (lhs.is_positive())
+ magnitude_type_integral_ops::add(lhs, rhs);
+ else
+ {
+ if (lhs[0] > rhs) // example: -16 + 5 = -11
+ lhs[0] -= rhs;
+ else
+ {
+ if (lhs.size() == 1) // example: -1 + 5 = 4, or -5 + 5 = 0
+ {
+ lhs[0] = rhs - lhs[0];
+ lhs.set_sign_bit(0);
+ }
+ else // example -1000 + 5 = -995
+ {
+ traits_type::ops_type::subtract_single_digit(
+ lhs.digits(), lhs.digits(), lhs.size(), rhs);
+ lhs.clamp_high_digit();
+ }
+ }
+ }
+}
+
+template<class UnboundedInt>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt, typename UnboundedInt::digit_type, false
+>::subtract(unbounded_int_type& lhs, integral_type rhs)
+{
+ if (lhs.is_negative())
+ {
+ const integral_type carry =
+ traits_type::ops_type::add_single_digit(
+ lhs.digits(), lhs.digits(), lhs.size(), rhs);
+ if (carry)
+ lhs.push(carry);
+ return;
+ }
+
+ if (lhs.size() == 1)
+ {
+ if (lhs[0] < rhs) // example: 2 - 6 = -4
+ {
+ lhs[0] = rhs - lhs[0];
+ lhs.set_sign_bit(1);
+ }
+ else // example: 8 - 7 = 1 or 5 - 5 = 0
+ lhs[0] -= rhs;
+ }
+ else
+ {
+ traits_type::ops_type::subtract_single_digit(
+ lhs.digits(), lhs.digits(), lhs.size(), rhs);
+ lhs.clamp_high_digit();
+ }
+}
+
+template<class UnboundedInt>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt, typename UnboundedInt::digit_type, false
+>::multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+{
+ if (y == 0)
+ {
+ assign(z, integral_type(0));
+ return;
+ }
+ else if (y == 1)
+ return;
+
+ const integral_type carry =
+ traits_type::ops_type::multiply_by_digit(
+ z.digits(), x.digits(), x.size(), y);
+
+ if (carry)
+ z.push(carry);
+}
+
+
+// 2)
+template<class UnboundedInt>
+struct unbounded_int_integral_ops_impl<
+ UnboundedInt,
+ typename make_signed<typename UnboundedInt::digit_type>::type,
+ true
+>
+{
+ typedef UnboundedInt unbounded_int_type;
+ typedef typename make_signed<
+ typename unbounded_int_type::digit_type
+ >::type integral_type;
+ typedef std::numeric_limits<integral_type> integral_type_limits;
+ typedef typename unbounded_int_type::traits_type traits_type;
+
+ typedef unbounded_int_integral_ops_impl<
+ unbounded_int_type,
+ typename unbounded_int_type::digit_type
+ > impl_type;
+
+ typedef unbounded_uint_integral_ops<
+ typename unbounded_int_type::magnitude_type,
+ typename unbounded_int_type::digit_type
+ > magnitude_type_integral_ops;
+
+ static const unsigned radix_bits = traits_type::radix_bits;
+ static const unsigned q =
+ (integral_type_limits::digits + (radix_bits - 1))
+ / radix_bits;
+
+ static typename unbounded_int_type::digit_type get_absolute(integral_type x)
+ {
+ if (x >= 0)
+ return static_cast<typename unbounded_int_type::digit_type>(x);
+ else
+ return static_cast<typename unbounded_int_type::digit_type>(-x);
+ }
+
+ static bool get_sign_bit(integral_type x)
+ {
+ if (x >= 0)
+ return 0;
+ else
+ return 1;
+ }
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs[0] = get_absolute(rhs);
+ lhs.set_size(1);
+ lhs.set_sign_bit(get_sign_bit(rhs));
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.sign_bit() == get_sign_bit(rhs))
+ {
+ return magnitude_type_integral_ops::equal(lhs, get_absolute(rhs));
+ }
+ else
+ return false;
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs);
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.sign_bit() == get_sign_bit(rhs))
+ magnitude_type_integral_ops::add(lhs, get_absolute(rhs));
+ else
+ impl_type::subtract(lhs, get_absolute(rhs));
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs);
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::multiply(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(lhs.sign_bit() ^ get_sign_bit(rhs));
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::divide(lhs, get_absolute(rhs));
+ if (lhs)
+ lhs.set_sign_bit(lhs.sign_bit() ^ get_sign_bit(rhs));
+ else
+ lhs.set_sign_bit(0);
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::modulo(lhs, get_absolute(rhs));
+ // TODO sign
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::bitwise_or(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(lhs.sign_bit() | get_sign_bit(rhs));
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::bitwise_and(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(lhs.sign_bit() & get_sign_bit(rhs));
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::bitwise_xor(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(lhs.sign_bit() ^ get_sign_bit(rhs));
+ }
+};
+
+
+template<class UnboundedInt>
+bool
+unbounded_int_integral_ops_impl<
+ UnboundedInt,
+ typename make_signed<typename UnboundedInt::digit_type>::type,
+ true
+>::less(const unbounded_int_type& lhs, integral_type rhs)
+{
+ if (lhs.is_positive())
+ {
+ if (rhs < 0)
+ return false;
+ else
+ return magnitude_type_integral_ops::less(lhs, get_absolute(rhs));
+ }
+ else
+ {
+ if (rhs >= 0)
+ return true;
+ else
+ {
+ if (lhs.size() <= q)
+ {
+ typedef to_integral_converter<
+ unbounded_int_type, integral_type> converter_type;
+
+ converter_type c;
+
+ const integral_type x = c.convert(lhs);
+
+ return x < rhs;
+ }
+ else
+ return true;
+ }
+ }
+
+}
+
+template<class UnboundedInt>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt,
+ typename make_signed<typename UnboundedInt::digit_type>::type,
+ true
+>::subtract(unbounded_int_type& lhs, integral_type rhs)
+{
+ if (lhs.is_positive())
+ {
+ if (rhs >= 0)
+ impl_type::subtract(lhs, get_absolute(rhs));
+ else
+ magnitude_type_integral_ops::add(lhs, get_absolute(rhs));
+ }
+ else
+ {
+ if (rhs >= 0)
+ magnitude_type_integral_ops::add(lhs, get_absolute(rhs));
+ else
+ impl_type::subtract(lhs, get_absolute(rhs));
+ }
+}
+
+
+// 3
+template<class UnboundedInt, typename IntegralT>
+struct unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, false
+>
+:
+ unbounded_uint_integral_ops_impl<UnboundedInt, IntegralT, false>
+{
+ typedef UnboundedInt unbounded_int_type;
+ typedef IntegralT integral_type;
+ typedef typename unbounded_int_type::traits_type traits_type;
+
+ typedef unbounded_uint_integral_ops<
+ typename unbounded_int_type::magnitude_type,
+ integral_type
+ > magnitude_type_integral_ops;
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::assign(lhs, rhs);
+ lhs.set_sign_bit(0);
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.is_negative())
+ return false;
+ return magnitude_type_integral_ops::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.is_negative())
+ return true;
+ return magnitude_type_integral_ops::less(lhs, rhs);
+ }
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.is_positive())
+ magnitude_type_integral_ops::add(lhs, rhs);
+ else
+ subtract_smaller(lhs, rhs, 0);
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.is_negative())
+ magnitude_type_integral_ops::add(lhs, rhs);
+ else
+ subtract_smaller(lhs, rhs, ~lhs.sign_bit());
+ }
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::multiply(lhs, rhs);
+ if (!lhs)
+ lhs.set_sign_bit(0);
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::divide(lhs, rhs);
+ if (!lhs)
+ lhs.set_sign_bit(0);
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::modulo(lhs, rhs);
+ if (!lhs)
+ lhs.set_sign_bit(0);
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::bitwise_and(lhs, rhs);
+ lhs.set_sign_bit(0);
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::bitwise_xor(lhs, rhs);
+ lhs.set_sign_bit(lhs.sign_bit() ^ 0);
+ }
+
+ static void subtract_smaller(unbounded_int_type& lhs,
+ integral_type rhs,
+ bool final_sign);
+};
+
+
+template<class UnboundedInt, typename IntegralT>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, false
+>::subtract_smaller(unbounded_int_type& lhs,
+ integral_type rhs,
+ bool final_sign)
+{
+ static const unsigned radix_bits = traits_type::radix_bits;
+
+ static const unsigned q =
+ (std::numeric_limits<integral_type>::digits + (radix_bits - 1))
+ / radix_bits;
+
+ typedef unbounded_uint<traits_type> unbounded_uint_type;
+
+ typename traits_type::digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, rhs);
+
+ const unbounded_uint_type* x;
+ const unbounded_uint_type* y;
+
+ if (!unbounded_uint_integral_ops<
+ unbounded_int_type, integral_type>::less(lhs, rhs)) // lhs >= rhs
+ {
+ x = &lhs;
+ y = &tmp;
+ }
+ else
+ {
+ x = &tmp;
+ y = &lhs;
+ lhs.set_sign_bit(final_sign);
+ }
+
+ traits_type::ops_type::sub_smaller_magnitude(
+ lhs.digits(), x->digits(), x->size(),
+ y->digits(), y->size());
+
+ lhs.set_size(x->size());
+ lhs.clamp();
+
+ if (!lhs)
+ lhs.set_sign_bit(0);
+}
+
+
+// 4
+template<class UnboundedInt, typename IntegralT>
+struct unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, true
+>
+{
+ typedef UnboundedInt unbounded_int_type;
+ typedef IntegralT integral_type;
+ typedef std::numeric_limits<integral_type> integral_type_limits;
+ typedef typename unbounded_int_type::traits_type traits_type;
+ typedef typename make_unsigned<integral_type>::type unsigned_integral_type;
+
+ typedef unbounded_uint_integral_ops<
+ typename unbounded_int_type::magnitude_type,
+ unsigned_integral_type
+ > magnitude_type_integral_ops;
+
+ static const unsigned radix_bits = traits_type::radix_bits;
+ static const unsigned q =
+ (integral_type_limits::digits + (radix_bits - 1))
+ / radix_bits;
+
+ static unsigned_integral_type get_absolute(integral_type x)
+ {
+ if (x >= 0)
+ return static_cast<unsigned_integral_type>(x);
+ else
+ return static_cast<unsigned_integral_type>(-x);
+ }
+
+ static bool get_sign_bit(integral_type x)
+ {
+ if (x >= 0)
+ return 0;
+ else
+ return 1;
+ }
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::assign(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(get_sign_bit(rhs));
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.sign_bit() != get_sign_bit(rhs))
+ return false;
+ return magnitude_type_integral_ops::equal(lhs, get_absolute(rhs));
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs);
+
+ static void add (unbounded_int_type& lhs, integral_type rhs);
+ static void subtract(unbounded_int_type& lhs, integral_type rhs);
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::multiply(lhs, get_absolute(rhs));
+ if (lhs)
+ lhs.set_sign_bit(lhs.sign_bit() ^ get_sign_bit(rhs));
+ else
+ lhs.set_sign_bit(0);
+ }
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+ {
+ magnitude_type_integral_ops::multiply(z, x, get_absolute(y));
+ if (z)
+ z.set_sign_bit(x.sign_bit() ^ get_sign_bit(y));
+ else
+ z.set_sign_bit(0);
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::divide(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(lhs.sign_bit() ^ get_sign_bit(rhs));
+ }
+
+static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::modulo(lhs, get_absolute(rhs));
+ // TODO sign
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::bitwise_or(lhs, rhs);
+ lhs.set_sign_bit(lhs.sign_bit() | get_sign_bit(rhs));
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::bitwise_and(lhs, rhs);
+ lhs.set_sign_bit(lhs.sign_bit() & get_sign_bit(rhs));
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ magnitude_type_integral_ops::bitwise_xor(lhs, rhs);
+ lhs.set_sign_bit(lhs.sign_bit() ^ get_sign_bit(rhs));
+ }
+};
+
+
+template<class UnboundedInt, typename IntegralT>
+bool
+unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, true>::less(const unbounded_int_type& lhs,
+ integral_type rhs)
+{
+ if (lhs.is_positive())
+ {
+ if (rhs < 0)
+ return false;
+ else
+ return magnitude_type_integral_ops::less(lhs, get_absolute(rhs));
+ }
+ else
+ {
+ if (rhs >= 0)
+ return true;
+ else
+ {
+ if (lhs.size() <= q)
+ {
+ typedef to_integral_converter<
+ unbounded_int_type, integral_type> converter_type;
+
+ converter_type c;
+
+ const integral_type x = c.convert(lhs);
+
+ return x < rhs;
+ }
+ else
+ return true;
+ }
+ }
+}
+
+template<class UnboundedInt, typename IntegralT>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, true>::add(unbounded_int_type& lhs,
+ integral_type rhs)
+{
+ if (lhs.sign_bit() == get_sign_bit(rhs))
+ magnitude_type_integral_ops::add(lhs, get_absolute(rhs));
+ else
+ subtract_smaller(lhs, rhs, get_sign_bit(rhs));
+}
+
+template<class UnboundedInt, typename IntegralT>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, true>::subtract(unbounded_int_type& lhs,
+ integral_type rhs)
+{
+ if (lhs.sign_bit() != get_sign_bit(rhs))
+ magnitude_type_integral_ops::add(lhs, get_absolute(rhs));
+ else
+ subtract_smaller(lhs, rhs, ~lhs.sign_bit());
+}
+
+
+
+
+////////////////////////////////////////////////////////////////////
+
+template<
+ class UnboundedInt,
+ typename IntegralT,
+ bool less_equal =
+ std::numeric_limits<IntegralT>::is_signed ?
+ (
+ std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<
+ typename make_signed<typename UnboundedInt::digit_type>::type
+ >::digits
+ ):
+ (
+ std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<typename UnboundedInt::digit_type>::digits
+ )
+>
+struct unbounded_int_integral_ops;
+
+
+// Dispatches integral types that fit into a digit_type by casting it to
+// digit_type or signed digit_type and using the specialization at the top.
+template<
+ class UnboundedInt,
+ typename IntegralT
+>
+struct unbounded_int_integral_ops<UnboundedInt,IntegralT,true>
+{
+ BOOST_STATIC_ASSERT(is_integral<IntegralT>::value);
+
+ typedef UnboundedInt unbounded_int_type;
+ typedef IntegralT integral_type;
+
+ typedef unbounded_int_integral_ops_impl<
+ unbounded_int_type,
+ typename mpl::if_<
+ is_signed<integral_type>,
+ typename make_signed<
+ typename unbounded_int_type::digit_type
+ >::type,
+ typename unbounded_int_type::digit_type
+ >::type
+ > impl_type;
+
+ typedef typename impl_type::integral_type to_integral_type;
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, static_cast<to_integral_type>(y));
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, static_cast<to_integral_type>(rhs));
+ }
+};
+
+
+template<
+ class UnboundedInt,
+ typename IntegralT
+>
+struct unbounded_int_integral_ops<UnboundedInt,IntegralT,false>
+{
+ BOOST_STATIC_ASSERT(is_integral<IntegralT>::value);
+
+ typedef UnboundedInt unbounded_int_type;
+ typedef IntegralT integral_type;
+
+ typedef unbounded_int_integral_ops_impl<
+ unbounded_int_type, integral_type
+ > impl_type;
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, rhs);
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, rhs);
+ }
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, rhs);
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, rhs);
+ }
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, rhs);
+ }
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, y);
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, rhs);
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, rhs);
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, rhs);
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, rhs);
+ }
+};
+
+
+
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_uint.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_uint.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,881 @@
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_UINT_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_UINT_HPP
+
+#include <algorithm> // swap
+#include <cassert>
+#include <iostream>
+#include <iterator> // reverse_iterator
+#include <boost/config.hpp>
+#include <boost/utility/enable_if.hpp>
+#include <boost/mp_math/integer/detail/base/adder.hpp>
+#include <boost/mp_math/integer/detail/base/bitwise_ops.hpp>
+#include <boost/mp_math/integer/detail/base/shifter.hpp>
+#include <boost/mp_math/integer/detail/base/to_integral.hpp>
+#include <boost/mp_math/integer/detail/base/unbounded_uint_integral.hpp>
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+// The unbounded_uint_common class template provide all the functions that
+// don't need to allocate memory. This is useful for the optimization of some
+// high level algorithms where you allocate a pool of memory once and then
+// construct some unbounded_uint objects in it.
+
+// Internally the least significant digit is stored at digits_[0], while the
+// most significant is stored at digits_[size_-1].
+
+template<class Traits>
+struct unbounded_uint_common
+{
+protected:
+
+ template<typename IntegralT>
+ struct integral_ops
+ :
+ unbounded_uint_integral_ops<unbounded_uint_common<Traits>, IntegralT>
+ {};
+
+public:
+
+ typedef Traits traits_type;
+ typedef typename traits_type::digit_type digit_type;
+ typedef typename traits_type::size_type size_type;
+
+ typedef digit_type& reference;
+ typedef const digit_type& const_reference;
+ typedef digit_type* iterator;
+ typedef const digit_type* const_iterator;
+ typedef std::reverse_iterator<iterator> reverse_iterator;
+ typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
+
+ static const bool is_signed = false;
+
+ unbounded_uint_common(){}
+
+ unbounded_uint_common(digit_type* d, size_type size, size_type capacity)
+ :
+ digits_(d), size_(size), capacity_(capacity)
+ {}
+
+ #ifdef BOOST_HAS_RVALUE_REFS
+ void swap(unbounded_uint_common&& rhs);
+ #else
+ void swap(unbounded_uint_common& rhs);
+ #endif
+
+ iterator begin() { return digits_; }
+ iterator end () { return digits_ + size_; }
+ const_iterator begin() const { return digits_; }
+ const_iterator end () const { return digits_ + size_; }
+ reverse_iterator rbegin() { return reverse_iterator(end()); }
+ reverse_iterator rend () { return reverse_iterator(begin()); }
+ const_reverse_iterator rbegin() const { return const_reverse_iterator(end()); }
+ const_reverse_iterator rend () const { return const_reverse_iterator(begin()); }
+
+ digit_type& operator[](size_type i) { return digits_[i]; }
+ const digit_type& operator[](size_type i) const { return digits_[i]; }
+
+ digit_type* digits() { return digits_; }
+ const digit_type* digits() const { return digits_; }
+
+#ifdef BOOST_NO_EXPLICIT_CONVERSION_OPERATORS
+private:
+
+ typedef size_type unbounded_uint_common::*unspecified_bool_type;
+
+public:
+
+ operator unspecified_bool_type() const
+ {
+ return !(size_ == 1 && digits_[0] == 0) ?
+ &unbounded_uint_common::size_ : 0;
+ }
+#else
+ explicit operator bool() const { return !(size_ == 1 && digits_[0] == 0); }
+#endif
+
+ bool is_even() const { return (digits_[0] & 1U) == 0U; }
+ bool is_odd () const { return (digits_[0] & 1U) == 1U; }
+ bool is_initialized () const { return size_ != 0U; }
+ bool is_uninitialized() const { return size_ == 0U; }
+
+ size_type size() const { return size_; }
+ void set_size(size_type s) { size_ = s; }
+
+ size_type capacity() const { return capacity_; }
+ void set_capacity(size_type c) { capacity_ = c; }
+
+ void push(digit_type x) { digits_[size_++] = x; }
+ void pop() { --size_; }
+
+ reference least_significant() { return digits_[0]; }
+ const_reference least_significant() const { return digits_[0]; }
+
+ reference most_significant() { return digits_[size_ - 1]; }
+ const_reference most_significant() const { return digits_[size_ - 1]; }
+
+ void clamp();
+ void clamp_high_digit();
+
+ void set_bit(size_type bit)
+ {
+ digits_[bit / traits_type::radix_bits] |=
+ digit_type(1) << (bit % traits_type::radix_bits);
+ }
+
+ void clear_bit(size_type bit)
+ {
+ digits_[bit / traits_type::radix_bits] &=
+ ~(digit_type(1) << (bit % traits_type::radix_bits));
+ }
+
+ void set_bits (size_type beg, size_type end);
+ void clear_bits(size_type beg, size_type end);
+
+ void truncate(size_type prec);
+
+ size_type precision() const;
+
+ void set_precision(size_type bits)
+ {
+ size_ = (bits + (traits_type::radix_bits - 1)) / traits_type::radix_bits;
+ }
+
+ void zero();
+
+ size_type count_trailing_zero_bits() const;
+
+ unbounded_uint_common& operator ++()
+ {
+ integral_ops<digit_type>::add(*this, 1);
+ return *this;
+ }
+
+ unbounded_uint_common& operator --()
+ {
+ integral_ops<digit_type>::subtract(*this, 1);
+ return *this;
+ }
+
+ unbounded_uint_common& operator <<= (size_type);
+ unbounded_uint_common& operator >>= (size_type);
+
+ unbounded_uint_common& operator += (const unbounded_uint_common&);
+ unbounded_uint_common& operator -= (const unbounded_uint_common&);
+
+ unbounded_uint_common& operator |= (const unbounded_uint_common& rhs)
+ {
+ bitwise_ops<unbounded_uint_common>::or_bits(*this, *this, rhs);
+ return *this;
+ }
+
+ unbounded_uint_common& operator &= (const unbounded_uint_common& rhs)
+ {
+ bitwise_ops<unbounded_uint_common>::and_bits(*this, *this, rhs);
+ return *this;
+ }
+
+ unbounded_uint_common& operator ^= (const unbounded_uint_common& rhs)
+ {
+ bitwise_ops<unbounded_uint_common>::xor_bits(*this, *this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint_common&>::type
+ operator += (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::add(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint_common&>::type
+ operator -= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::subtract(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint_common&>::type
+ operator *= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::multiply(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint_common&>::type
+ operator /= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::divide(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint_common&>::type
+ operator %= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::modulo(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint_common&>::type
+ operator |= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::bitwise_or(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint_common&>::type
+ operator &= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::bitwise_and(*this, rhs);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint_common&>::type
+ operator ^= (IntegralT rhs)
+ {
+ integral_ops<IntegralT>::bitwise_xor(*this, rhs);
+ return *this;
+ }
+
+ // TODO it may not be possible to do the string stuff correctly because we
+ // can't just call *this += uint_type(s). We could implement some kind of
+ // digit_type iterator that iterates over the string and returns a digit_type.
+ // and then write the algorithm in such a way that it retrieves the next digit
+ // on demand. This may be too slow for things like *= wich jumps all over the
+ // place with its memory accesses.
+ template<typename charT> unbounded_uint_common& operator += (const charT*);
+ template<typename charT> unbounded_uint_common& operator -= (const charT*);
+ template<typename charT> unbounded_uint_common& operator |= (const charT*);
+ template<typename charT> unbounded_uint_common& operator &= (const charT*);
+ template<typename charT> unbounded_uint_common& operator ^= (const charT*);
+
+ template<typename charT, class traits, class alloc>
+ unbounded_uint_common&
+ operator += (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint_common&
+ operator -= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint_common&
+ operator |= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint_common&
+ operator &= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint_common&
+ operator ^= (const std::basic_string<charT,traits,alloc>&);
+
+ void print(bool all = false) const;
+
+ template<typename IntegralT>
+ IntegralT to_integral() const
+ {
+ return to_integral_converter<
+ unbounded_uint_common<traits_type>, IntegralT>::convert(*this);
+ }
+
+protected:
+
+ digit_type* digits_;
+ size_type size_;
+ size_type capacity_;
+};
+
+
+template<class Traits>
+#ifdef BOOST_HAS_RVALUE_REFS
+void unbounded_uint_common<Traits>::swap(unbounded_uint_common&& rhs)
+#else
+void unbounded_uint_common<Traits>::swap(unbounded_uint_common& rhs)
+#endif
+{
+ std::swap(digits_, rhs.digits_ );
+ std::swap(size_, rhs.size_ );
+ std::swap(capacity_, rhs.capacity_);
+}
+
+template<class Traits>
+inline void swap(unbounded_uint_common<Traits>& x,
+ unbounded_uint_common<Traits>& y)
+{
+ x.swap(y);
+}
+
+#ifdef BOOST_HAS_RVALUE_REFS
+template<class Traits>
+inline void swap(unbounded_uint_common<Traits>&& x,
+ unbounded_uint_common<Traits>& y)
+{
+ x.swap(y);
+}
+
+template<class Traits>
+inline void swap(unbounded_uint_common<Traits>& x,
+ unbounded_uint_common<Traits>&& y)
+{
+ x.swap(y);
+}
+#endif
+
+// This is used to ensure that leading zero digits are trimmed.
+template<class Traits>
+void unbounded_uint_common<Traits>::clamp()
+{
+ while (size_ > 1U && digits_[size_-1] == 0U)
+ --size_;
+}
+
+// For when we know that only one leading zero digit may exist.
+template<class Traits>
+inline void unbounded_uint_common<Traits>::clamp_high_digit()
+{
+ if (size_ > 1U && digits_[size_-1] == 0U)
+ --size_;
+}
+
+template<class Traits>
+void
+unbounded_uint_common<Traits>::set_bits(size_type beg, size_type end)
+{
+ const size_type beg_index = beg / traits_type::digit_bits;
+ const size_type end_index = end / traits_type::digit_bits;
+ const size_type first_bits = beg % traits_type::digit_bits;
+ const size_type last_bits = end % traits_type::digit_bits;
+
+ static const digit_type z = ~digit_type(0);
+
+ digit_type mask = z << first_bits;
+ if (beg_index == end_index && last_bits)
+ mask &= z >> (traits_type::digit_bits - last_bits);
+
+ digits_[beg_index] |= mask;
+
+ for (size_type i = beg_index + ((beg % traits_type::digit_bits) ? 1 : 0);
+ i < end_index; ++i)
+ digits_[i] = traits_type::max_digit_value;
+
+ if (beg_index != end_index && last_bits)
+ digits_[end_index] |= z >> (traits_type::digit_bits - last_bits);
+}
+
+template<class Traits>
+void
+unbounded_uint_common<Traits>::clear_bits(size_type beg, size_type end)
+{
+ const size_type beg_index = beg / traits_type::digit_bits;
+ const size_type end_index = end / traits_type::digit_bits;
+ const size_type first_bits = beg % traits_type::digit_bits;
+ const size_type last_bits = end % traits_type::digit_bits;
+
+ static const digit_type z = ~digit_type(0);
+
+ digit_type mask;
+ if (first_bits)
+ mask = z >> (traits_type::digit_bits - first_bits);
+ else
+ mask = 0;
+
+ if (beg_index == end_index)
+ mask |= z << last_bits;
+
+ digits_[beg_index] &= mask;
+
+ if (beg_index != end_index)
+ {
+ std::memset(digits_ + beg_index + 1, 0,
+ sizeof(digit_type) * (end_index - beg_index - 1));
+
+ if (last_bits)
+ digits_[end_index] &= z << last_bits;
+ }
+}
+
+// TODO no need to call clamp after truncate since we call set_precision here
+template<class Traits>
+void unbounded_uint_common<Traits>::truncate(size_type prec)
+{
+ set_precision(prec);
+ const size_type last_bits = prec % traits_type::radix_bits;
+ if (last_bits)
+ {
+ static const digit_type z = ~digit_type(0);
+ const digit_type mask = z >> (traits_type::radix_bits - last_bits);
+ digits_[size_ - 1] &= mask;
+ }
+}
+
+template<class Traits>
+typename unbounded_uint_common<Traits>::size_type
+unbounded_uint_common<Traits>::precision() const
+{
+ if (is_initialized())
+ {
+ size_type p = (size_ - 1) * traits_type::radix_bits;
+
+ // count bits in most significant digit
+ digit_type q = digits_[size_ - 1];
+ while (q > 0U)
+ {
+ ++p;
+ q >>= 1;
+ }
+
+ return p;
+ }
+ else
+ return 0;
+}
+
+// TODO remove this function?
+template<class Traits>
+inline void unbounded_uint_common<Traits>::zero()
+{
+ digits_[0] = 0;
+ size_ = 1;
+}
+
+// Counts the number of lsbs which are zero before the first one bit
+template<class Traits>
+typename unbounded_uint_common<Traits>::size_type
+unbounded_uint_common<Traits>::count_trailing_zero_bits() const
+{
+ static const size_type lnz[16] = {
+ 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0
+ };
+
+ if (!*this)
+ return 0;
+
+ size_type bits = 0;
+
+ // scan lower digits until non-zero
+ const_iterator d = begin();
+ while (bits < size_ && *d == 0)
+ {
+ ++bits;
+ ++d;
+ }
+
+ bits *= traits_type::radix_bits;
+
+ digit_type q = *d;
+ // now scan this digit until a 1 is found
+ if ((q & 1) == 0)
+ {
+ digit_type qq;
+ do
+ {
+ qq = q & 15;
+ bits += lnz[qq];
+ q >>= 4;
+ } while (qq == 0);
+ }
+
+ return bits;
+}
+
+template<class Traits>
+void unbounded_uint_common<Traits>::print(bool all) const
+{
+ using std::cout;
+ cout << size_ << "{";
+ for (size_type i = 0; i < size(); ++i)
+ {
+ cout << static_cast<typename traits_type::word_type>(digits()[i]);
+ if (i < size() - 1)
+ cout << ",";
+ }
+ cout << "}";
+
+ if (all)
+ {
+ cout << capacity() - size() << "{";
+ for (size_type i = size(); i < capacity(); ++i)
+ {
+ cout << static_cast<typename traits_type::word_type>(digits()[i]);
+ if (i < capacity() - 1)
+ cout << ",";
+ }
+ cout << "}";
+ }
+ cout << "\n";
+}
+
+
+template<class Traits>
+unbounded_uint_common<Traits>&
+unbounded_uint_common<Traits>::operator <<= (const size_type n)
+{
+ if (*this != digit_type(0))
+ shifter<unbounded_uint_common<Traits> >::shift_bits_left(*this, n);
+ return *this;
+}
+
+template<class Traits>
+unbounded_uint_common<Traits>&
+unbounded_uint_common<Traits>::operator >>= (const size_type n)
+{
+ shifter<unbounded_uint_common<Traits> >::shift_bits_right(*this, n);
+ return *this;
+}
+
+template<class Traits>
+unbounded_uint_common<Traits>&
+unbounded_uint_common<Traits>::
+operator += (const unbounded_uint_common<Traits>& rhs)
+{
+ const unbounded_uint_common<Traits> *a, *b;
+ if (size() > rhs.size())
+ {
+ a = this;
+ b = &rhs;
+ }
+ else
+ {
+ a = &rhs;
+ b = this;
+ }
+
+ typedef adder<unbounded_uint_common<Traits> > adder_type;
+
+ adder_type::add_smaller_magnitude(*this, *a, *b);
+
+ return *this;
+}
+
+template<class Traits>
+unbounded_uint_common<Traits>&
+unbounded_uint_common<Traits>::
+operator -= (const unbounded_uint_common<Traits>& rhs)
+{
+ const unbounded_uint_common<Traits> *a, *b;
+ if (size() > rhs.size())
+ {
+ a = this;
+ b = &rhs;
+ }
+ else
+ {
+ a = &rhs;
+ b = this;
+ }
+
+ typedef adder<unbounded_uint_common<Traits> > adder_type;
+
+ adder_type::subtract_smaller_magnitude(*this, *a, *b);
+
+ return *this;
+}
+
+/*
+template<class Traits>
+unbounded_uint_common<Traits>&
+unbounded_uint_common<Traits>::
+operator |= (const unbounded_uint_common<Traits>& rhs)
+{
+ if (size() < rhs.size())
+ {
+ std::memcpy(digits() + size(),
+ rhs.digits() + size(),
+ (rhs.size() - size()) * sizeof(digit_type));
+ set_size(rhs.size());
+ }
+
+ for (size_type i = 0; i < std::min(size(), rhs.size()); ++i)
+ digits()[i] |= rhs[i];
+
+ return *this;
+}
+
+template<class Traits>
+unbounded_uint_common<Traits>&
+unbounded_uint_common<Traits>::
+operator &= (const unbounded_uint_common<Traits>& rhs)
+{
+ const size_type m = std::min(size(), rhs.size());
+
+ for (size_type i = 0; i < m; ++i)
+ digits()[i] &= rhs[i];
+
+ set_size(m);
+ clamp();
+
+ return *this;
+}
+
+template<class Traits>
+unbounded_uint_common<Traits>&
+unbounded_uint_common<Traits>::
+operator ^= (const unbounded_uint_common<Traits>& rhs)
+{
+ const size_type min = std::min(size(), rhs.size());
+
+ if (size() < rhs.size())
+ {
+ std::memcpy(digits() + size(),
+ rhs.digits() + size(),
+ (rhs.size() - size()) * sizeof(digit_type));
+ set_size(rhs.size());
+ }
+
+ for (size_type i = 0; i < min; ++i)
+ digits()[i] ^= rhs[i];
+
+ clamp();
+
+ return *this;
+}*/
+
+
+
+
+
+
+
+/*
+
+// x += y
+template<class Traits, bool Debug>
+void add_smaller_magnitude(unbounded_uint<Traits,Debug>& x,
+ const unbounded_uint<Traits,Debug>& y)
+{
+ assert(x.size() > y.size());
+
+ const digit_type carry =
+ traits_type::ops_type::add_digits(x.digits(),
+ x.digits(),
+ y.digits(), y.size());
+
+ size_type n =
+ traits_type::ops_type::ripple_carry(x.digits() + y.size(),
+ x.digits() + y.size(),
+ x.size() - y.size(), carry);
+ n += y.size();
+
+ if (n < x.size()) // this implies that there is no carry left
+ return;
+ else if (carry) // at this point n equals x->size_
+ x[n++] = carry;
+
+ x.set_size(n);
+}
+
+// x -= y
+template<class Traits, bool Debug>
+void sub_smaller_magnitude()
+{
+ traits_type::ops_type::sub_smaller_magnitude(digits(),
+ x->digits(), x->size(),
+ y->digits(), y->size());
+
+ set_size(x->size());
+
+ clamp();
+}*/
+
+
+template<class Traits>
+inline
+bool operator < (const unbounded_uint_common<Traits>& lhs,
+ const unbounded_uint_common<Traits>& rhs)
+{
+ const int b = Traits::ops_type::compare_magnitude(lhs.digits(), lhs.size(),
+ rhs.digits(), rhs.size());
+ return b == -1;
+}
+
+template<class Traits>
+inline
+bool operator > (const unbounded_uint_common<Traits>& lhs,
+ const unbounded_uint_common<Traits>& rhs)
+{
+ const int b = Traits::ops_type::compare_magnitude(lhs.digits(), lhs.size(),
+ rhs.digits(), rhs.size());
+ return b == 1;
+}
+
+template<class Traits>
+inline
+bool operator <= (const unbounded_uint_common<Traits>& lhs,
+ const unbounded_uint_common<Traits>& rhs)
+{
+ const int b = Traits::ops_type::compare_magnitude(lhs.digits(), lhs.size(),
+ rhs.digits(), rhs.size());
+ return b != 1;
+}
+
+template<class Traits>
+inline
+bool operator >= (const unbounded_uint_common<Traits>& lhs,
+ const unbounded_uint_common<Traits>& rhs)
+{
+ const int b = Traits::ops_type::compare_magnitude(lhs.digits(), lhs.size(),
+ rhs.digits(), rhs.size());
+ return b != -1;
+}
+
+
+
+
+
+
+
+// Now we add a layer of debug functionality. This functionality
+// is meant to be used by developers that develop new algorithms for this
+// library.
+template<class Traits>
+struct unbounded_uint<Traits, false>
+:
+ unbounded_uint_common<Traits>
+{
+ typedef unbounded_uint_common<Traits> base_type;
+
+ typedef Traits traits_type;
+ typedef typename traits_type::digit_type digit_type;
+ typedef typename traits_type::size_type size_type;
+
+ unbounded_uint(){}
+
+ unbounded_uint(digit_type* d, size_type size, size_type capacity)
+ :
+ base_type(d, size, capacity)
+ {}
+
+ void assert_invariants() const{}
+};
+
+
+template<class Traits>
+struct unbounded_uint<Traits, true>
+:
+ unbounded_uint_common<Traits>
+{
+ typedef unbounded_uint_common<Traits> base_type;
+
+ typedef Traits traits_type;
+ typedef typename traits_type::digit_type digit_type;
+ typedef typename traits_type::size_type size_type;
+
+ unbounded_uint(){}
+
+ unbounded_uint(digit_type* d, size_type size, size_type capacity)
+ :
+ base_type(d, size, capacity)
+ {}
+
+ // replace some inherited functions from the base class with debug versions
+/* digit_type& operator[](size_type i)
+ {
+ assert(i < base_type::size_);
+ return digits_[i];
+ }
+
+ const digit_type& operator[](size_type i) const
+ {
+ assert(i < size_)
+ return digits_[i];
+ }
+
+ void push(digit_type x)
+ {
+ assert(size_ < capacity());
+ digits_[size_++] = x;
+ }
+
+ void pop()
+ {
+ assert(size_ > 0);
+ --size_;
+ }
+
+ void set_bit (size_type bit);
+ void clear_bit(size_type bit);
+
+ void set_bits (size_type beg, size_type end);
+ void clear_bits(size_type beg, size_type end);
+
+ void set_precision(size_type bits);*/
+
+ void assert_invariants() const;
+};
+
+/*
+template<class Traits>
+void unbounded_uint<Traits,true>::set_bit(size_type bit)
+{
+ const size_type index = bit / traits_type::radix_bits;
+ assert(index < size_);
+ base_type::set_bit(bit);
+}
+
+template<class Traits>
+void unbounded_uint<Traits,true>::clear_bit(size_type bit)
+{
+ const size_type index = bit / traits_type::radix_bits;
+ assert(index < size_);
+ base_type::clear_bit(bit);
+}
+
+template<class Traits>
+void unbounded_uint<Traits,true>::set_bits(size_type beg, size_type end)
+{
+ assert(beg < end);
+ const size_type index = bit / traits_type::radix_bits;
+ assert(index < size_);
+ base_type::set_bits(beg, end);
+}
+
+template<class Traits>
+void unbounded_uint<Traits,true>::clear_bits(size_type beg, size_type end)
+{
+ assert(beg < end);
+ const size_type index = bit / traits_type::radix_bits;
+ assert(index < size_);
+ base_type::clear_bits(beg, end);
+}
+
+template<class Traits>
+void unbounded_uint<Traits,true>::set_precision(size_type bits)
+{
+ const size_type new_size = bits / traits_type::radix_bits;
+ assert(new_size < this->capacity());
+ base_type::set_precision();
+}*/
+
+template<class Traits>
+void unbounded_uint<Traits,true>::assert_invariants() const
+{
+ if (base_type::is_initialized())
+ {
+ assert(base_type::size() <= base_type::capacity());
+ if (base_type::size() > 1U)
+ assert(base_type::digits()[base_type::size()-1] != 0U);
+ }
+}
+
+
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_uint_fwd.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_uint_fwd.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,26 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_UINT_FWD_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_UINT_FWD_HPP
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+template<class Traits>
+struct unbounded_uint_common;
+
+template<class Traits, bool Debug = Traits::enable_debug_mode>
+struct unbounded_uint;
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_uint_integral.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/base/unbounded_uint_integral.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,1044 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_UINT_INTEGRAL_OPS_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_BASE_UNBOUNDED_UINT_INTEGRAL_OPS_HPP
+
+#include <boost/static_assert.hpp>
+#include <boost/mpl/less_equal.hpp>
+#include <boost/type_traits/is_integral.hpp>
+#include <boost/type_traits/make_signed.hpp>
+#include <boost/type_traits/make_unsigned.hpp>
+#include <boost/mp_math/integer/detail/base/from_integral.hpp>
+#include <boost/mp_math/integer/detail/base/to_integral.hpp>
+#include <boost/mp_math/integer/detail/base/unbounded_uint_fwd.hpp>
+
+// Here we optimize interaction with built in integral types.
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+namespace base {
+
+template<
+ typename IntegralT,
+ bool IsSigned = std::numeric_limits<IntegralT>::is_signed
+>
+struct integral_info;
+
+
+template<typename IntegralT>
+struct integral_info<IntegralT, false>
+{
+ typedef IntegralT integral_type;
+ typedef typename make_signed<integral_type>::type signed_integral_type;
+
+ static const bool is_signed = false;
+};
+
+
+template<typename IntegralT>
+struct integral_info<IntegralT, true>
+{
+ typedef IntegralT integral_type;
+ typedef typename make_unsigned<integral_type>::type unsigned_integral_type;
+
+ static unsigned_integral_type get_absolute(integral_type x)
+ {
+ if (x >= 0)
+ return static_cast<unsigned_integral_type>(x);
+ else
+ return static_cast<unsigned_integral_type>(-x);
+ }
+
+ static bool get_sign_bit(integral_type x)
+ {
+ if (x >= 0)
+ return 0;
+ else
+ return 1;
+ }
+
+ static const bool is_signed = true;
+};
+
+
+// We create four partial specializations out of this class template:
+// 1) IntegralT = digit_type, is_signed = false
+// 2) IntegralT = make_signed<digit_type>, is_signed = true
+// 3) is_signed = false
+// 4) is_signed = true
+// The actual dispatching to the correct specialization is done in
+// unbounded_uint_integral_ops.
+// All IntegralT that fit into a digit_type are dispatched to 1).
+// All IntegralT that fit into a 'signed digit_type' are dispatched to 2).
+// All IntegralT larger than a digit_type are dispatched to 3).
+// All IntegralT larger than a 'signed digit_type' are dispatched to 4).
+template<
+ class UnboundedUInt,
+ typename IntegralT,
+ bool IsSigned = std::numeric_limits<IntegralT>::is_signed
+>
+struct unbounded_uint_integral_ops_impl;
+
+
+// 1)
+template<class UnboundedUInt>
+struct unbounded_uint_integral_ops_impl<
+ UnboundedUInt,
+ typename UnboundedUInt::digit_type,
+ false
+>
+{
+ typedef UnboundedUInt unbounded_uint_type;
+ typedef typename unbounded_uint_type::digit_type integral_type;
+ typedef typename unbounded_uint_type::traits_type traits_type;
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs[0] = rhs;
+ lhs.set_size(1);
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ if (lhs.size() > 1)
+ return false;
+ return lhs[0] == rhs;
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ if (lhs.size() > 1)
+ return false;
+ return lhs[0] < rhs;
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ const integral_type carry =
+ traits_type::ops_type::add_single_digit(
+ lhs.digits(), lhs.digits(), lhs.size(), rhs);
+ if (carry)
+ lhs.push(carry);
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs);
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ multiply(lhs, lhs, rhs);
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y);
+
+ static void divide (unbounded_uint_type& lhs, integral_type rhs);
+ static void modulo (unbounded_uint_type& lhs, integral_type rhs);
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs[0] |= rhs;
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs[0] &= rhs;
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs[0] ^= rhs;
+ }
+};
+
+
+template<class UnboundedUInt>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, typename UnboundedUInt::digit_type, false
+>::subtract(unbounded_uint_type& lhs, integral_type rhs)
+{
+ if (!less(lhs, rhs))
+ {
+ if (lhs.size() == 1)
+ lhs[0] -= rhs;
+ else
+ {
+ traits_type::ops_type::subtract_single_digit(
+ lhs.digits(), lhs.digits(), lhs.size(), rhs);
+ lhs.clamp_high_digit();
+ }
+ }
+ else
+ throw std::runtime_error("unbounded_uint_integral_ops_impl::subtract: "
+ "result is negative");
+}
+
+template<class UnboundedUInt>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, typename UnboundedUInt::digit_type, false
+>::multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+{
+ if (y == 0)
+ {
+ assign(z, integral_type(0));
+ return;
+ }
+ else if (y == 1)
+ return;
+
+ const integral_type carry =
+ traits_type::ops_type::multiply_by_digit(
+ z.digits(), x.digits(), x.size(), y);
+
+ if (carry)
+ z.push(carry);
+}
+
+template<class UnboundedUInt>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, typename UnboundedUInt::digit_type, false
+>::divide(unbounded_uint_type& lhs, integral_type rhs)
+{
+ if (rhs == 0)
+ throw std::domain_error(
+ "unbounded_uint_integral_ops_impl::divide: division by zero");
+
+ if (rhs == 1 || !lhs)
+ return;
+
+ const bool is_power_of_two = (rhs & (rhs-1)) == 0;
+
+ if (!is_power_of_two)
+ traits_type::ops_type::divide_by_digit(
+ lhs.digits(), lhs.digits(), lhs.size(), rhs);
+ else
+ {
+ integral_type i = 2;
+ while ((i < traits_type::radix_bits) && (rhs != integral_type(1) << i))
+ ++i;
+
+ traits_type::ops_type::shift_bits_right(lhs.digits(), lhs.size(), i);
+ }
+
+ lhs.clamp_high_digit();
+}
+
+template<class UnboundedUInt>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, typename UnboundedUInt::digit_type, false
+>::modulo(unbounded_uint_type& lhs, integral_type rhs)
+{
+ if (rhs == 0)
+ throw std::domain_error(
+ "unbounded_uint_integral_ops_impl::modulo: division by zero");
+
+ if (rhs == 1 || !lhs)
+ {
+ assign(lhs, 0);
+ return;
+ }
+
+ const bool is_power_of_two = (rhs & (rhs-1)) == 0;
+
+ if (!is_power_of_two)
+ lhs[0] =
+ traits_type::ops_type::divide_by_digit(
+ lhs.digits(), lhs.digits(), lhs.size(), rhs);
+ else
+ {
+ integral_type i = 2;
+ while ((i < traits_type::radix_bits) && (rhs != integral_type(1) << i))
+ ++i;
+
+ lhs[0] &= ((integral_type(1) << i) - 1);
+ }
+
+ lhs.set_size(1);
+}
+
+
+
+// 2)
+// just casts to digit_type and dispatches to above specialization
+template<class UnboundedUInt>
+struct unbounded_uint_integral_ops_impl<
+ UnboundedUInt,
+ typename make_signed<typename UnboundedUInt::digit_type>::type,
+ true
+>
+{
+ typedef UnboundedUInt unbounded_uint_type;
+ typedef typename make_signed<
+ typename unbounded_uint_type::digit_type
+ >::type integral_type;
+
+ typedef typename unbounded_uint_type::digit_type unsigned_integral_type;
+
+ typedef unbounded_uint_integral_ops_impl<
+ unbounded_uint_type,
+ unsigned_integral_type
+ > impl_type;
+
+ static unsigned_integral_type promote(integral_type rhs)
+ {
+ // TODO if (rhs < 0)
+ // throw integral_promotion_error();
+ return static_cast<unsigned_integral_type>(rhs);
+ }
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, static_cast<unsigned_integral_type>(y));
+ }
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+};
+
+
+// 3
+template<class UnboundedUInt, typename IntegralT>
+struct unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false
+>
+{
+ typedef UnboundedUInt unbounded_uint_type;
+ typedef IntegralT integral_type;
+ typedef std::numeric_limits<integral_type> integral_type_limits;
+ typedef typename unbounded_uint_type::traits_type traits_type;
+
+ static const unsigned radix_bits = traits_type::radix_bits;
+ static const unsigned max_digit_value = traits_type::max_digit_value;
+
+ static const unsigned q =
+ (integral_type_limits::digits + (radix_bits - 1))
+ / radix_bits;
+
+ static void assign (unbounded_uint_type& lhs, integral_type rhs);
+ static bool equal (const unbounded_uint_type& lhs, integral_type rhs);
+ static bool less (const unbounded_uint_type& lhs, integral_type rhs);
+ static void add (unbounded_uint_type& lhs, integral_type rhs);
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs);
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs);
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y);
+ static void divide (unbounded_uint_type& lhs, integral_type rhs);
+ static void modulo (unbounded_uint_type& lhs, integral_type rhs);
+
+ static void bitwise_or (unbounded_uint_type& lhs, integral_type rhs);
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs);
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs);
+
+ typedef typename traits_type::digit_type digit_type;
+};
+
+
+template<class UnboundedUInt, typename IntegralT>
+const unsigned unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::q;
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::assign(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ lhs[0] = static_cast<digit_type>(rhs);
+ lhs.set_size(1);
+ }
+ else
+ {
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(lhs, rhs);
+ }
+}
+
+template<class UnboundedUInt, typename IntegralT>
+bool
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::equal(const unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (lhs.size() <= q)
+ {
+ typedef to_integral_converter<
+ unbounded_uint_type, integral_type> converter_type;
+
+ converter_type c;
+
+ // TODO it's faster to convert from integral type but comparison is faster
+ // between integral types, measure which one is better!
+ const integral_type x = c.convert(lhs);
+
+ return x == rhs;
+ }
+
+ return false;
+}
+
+template<class UnboundedUInt, typename IntegralT>
+bool
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::less(const unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ // TODO reroute to 1) if rhs <= digit_max
+ if (lhs.size() <= q)
+ {
+ typedef to_integral_converter<
+ unbounded_uint_type, integral_type> converter_type;
+
+ converter_type c;
+
+ const integral_type x = c.convert(lhs);
+
+ return x < rhs;
+ }
+
+ return false;
+}
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::add(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ unbounded_uint_integral_ops_impl<
+ UnboundedUInt, digit_type
+ >::add(lhs, static_cast<digit_type>(rhs));
+ }
+ else
+ {
+ digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, rhs);
+
+ lhs += tmp;
+ }
+}
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::subtract(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ unbounded_uint_integral_ops_impl<
+ UnboundedUInt, digit_type
+ >::subtract(lhs, static_cast<digit_type>(rhs));
+ }
+ else
+ {
+ digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, rhs);
+
+ lhs -= tmp;
+ }
+}
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::multiply(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ unbounded_uint_integral_ops_impl<
+ UnboundedUInt, digit_type
+ >::multiply(lhs, static_cast<digit_type>(rhs));
+ }
+ else
+ {
+ digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, rhs);
+
+ unbounded_uint_type *a, *b;
+ if (lhs.size() > tmp.size())
+ {
+ a = &lhs;
+ b = &tmp;
+ }
+ else
+ {
+ a = &tmp;
+ b = &lhs;
+ }
+
+ digit_type workspace[q];
+ traits_type::ops_type::comba_mul(lhs.digits(),
+ a->digits(), a->size(),
+ b->digits(), b->size(), workspace);
+ lhs.set_size(lhs.size() + tmp.size());
+ lhs.clamp_high_digit();
+ }
+}
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x,
+ integral_type y)
+{
+ if (y <= max_digit_value)
+ {
+ unbounded_uint_integral_ops_impl<
+ UnboundedUInt, digit_type
+ >::multiply(z, x, static_cast<digit_type>(y));
+ }
+ else
+ {
+ digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, y);
+
+ unbounded_uint_type *a, *b;
+ if (x.size() > tmp.size())
+ {
+ a = &x;
+ b = &tmp;
+ }
+ else
+ {
+ a = &tmp;
+ b = &x;
+ }
+
+ digit_type workspace[q];
+ traits_type::ops_type::comba_mul(z.digits(), a->digits(), a->size(),
+ b->digits(), b->size());
+ z.set_size(x.size() + tmp.size());
+ z.clamp_high_digit();
+ }
+}
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::divide(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ unbounded_uint_integral_ops_impl<
+ UnboundedUInt, digit_type
+ >::divide(lhs, static_cast<digit_type>(rhs));
+ }
+ else
+ {
+ digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, rhs);
+
+ digit_type remainder_digits[q] = {0};
+
+ unbounded_uint_type remainder(remainder_digits, q, q);
+
+ //divide(lhs, &remainder, lhs, tmp);
+
+ remainder.clamp();
+
+ typedef to_integral_converter<
+ unbounded_uint_type, integral_type> converter_type;
+
+ converter_type c;
+
+ assign(lhs, c.convert_without_check(remainder, remainder.precision()));
+ }
+}
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::modulo(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ unbounded_uint_integral_ops_impl<
+ UnboundedUInt, digit_type
+ >::divide(lhs, static_cast<digit_type>(rhs));
+ }
+ else
+ {
+ digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, rhs);
+
+ digit_type remainder_digits[q] = {0};
+
+ unbounded_uint_type remainder(remainder_digits, q, q);
+
+ //divide(&lhs, &remainder, lhs, tmp);
+
+ remainder.clamp();
+
+ typedef to_integral_converter<
+ unbounded_uint_type, integral_type> converter_type;
+
+ converter_type c;
+
+ assign(lhs, c.convert_without_check(remainder, remainder.precision()));
+ }
+}
+
+// TODO first need to write
+// divide(unbounded_uint_type* q, unbounded_uint_type* r,
+// const unbounded_uint_type& x, const unbounded_uint_type& y);
+// or don't implement this function if it is not possible to do so without the
+// use of temporary memory.
+
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::bitwise_or(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ unbounded_uint_integral_ops_impl<
+ UnboundedUInt, digit_type
+ >::bitwise_or(lhs, static_cast<digit_type>(rhs));
+ }
+ else
+ {
+ digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, rhs);
+
+ lhs |= tmp;
+ }
+}
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::bitwise_and(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ unbounded_uint_integral_ops_impl<
+ UnboundedUInt, digit_type
+ >::bitwise_and(lhs, static_cast<digit_type>(rhs));
+ }
+ else
+ {
+ digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, rhs);
+
+ lhs &= tmp;
+ }
+}
+
+template<class UnboundedUInt, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, false>::bitwise_xor(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ unbounded_uint_integral_ops_impl<
+ UnboundedUInt, digit_type
+ >::bitwise_xor(lhs, static_cast<digit_type>(rhs));
+ }
+ else
+ {
+ digit_type tmp_digits[q];
+
+ unbounded_uint_type tmp(tmp_digits, q, q);
+
+ from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(tmp, rhs);
+
+ lhs ^= tmp;
+ }
+}
+
+
+// 4
+template<class UnboundedUInt, typename IntegralT>
+struct unbounded_uint_integral_ops_impl<
+ UnboundedUInt, IntegralT, true
+>
+{
+ typedef UnboundedUInt unbounded_uint_type;
+ typedef IntegralT integral_type;
+
+ typedef typename make_unsigned<integral_type>::type unsigned_integral_type;
+
+ // this is spec 3
+ typedef unbounded_uint_integral_ops_impl<
+ unbounded_uint_type,
+ unsigned_integral_type
+ > impl_type;
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, static_cast<unsigned_integral_type>(y));
+ }
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+};
+
+
+
+
+////////////////////////////////////////////////////////////////////
+
+template<
+ class UnboundedUInt,
+ typename IntegralT,
+ bool less_equal =
+ std::numeric_limits<IntegralT>::is_signed ?
+ (
+ std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<
+ typename make_signed<typename UnboundedUInt::digit_type>::type
+ >::digits
+ ):
+ (
+ std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<typename UnboundedUInt::digit_type>::digits
+ )
+>
+struct unbounded_uint_integral_ops;
+
+
+// Dispatches integral types that fit into a digit_type by casting it to
+// digit_type or signed digit_type and using the specialization at the top.
+template<
+ class UnboundedUInt,
+ typename IntegralT
+>
+struct unbounded_uint_integral_ops<UnboundedUInt,IntegralT,true>
+{
+ BOOST_STATIC_ASSERT(is_integral<IntegralT>::value);
+
+ typedef UnboundedUInt unbounded_uint_type;
+ typedef IntegralT integral_type;
+
+ typedef unbounded_uint_integral_ops_impl<
+ unbounded_uint_type,
+ typename mpl::if_<
+ is_signed<integral_type>,
+ typename make_signed<
+ typename unbounded_uint_type::digit_type
+ >::type,
+ typename unbounded_uint_type::digit_type
+ >::type
+ > impl_type;
+
+ typedef typename impl_type::integral_type to_integral_type;
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, static_cast<to_integral_type>(y));
+ }
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, static_cast<to_integral_type>(rhs));
+ }
+};
+
+
+template<
+ class UnboundedUInt,
+ typename IntegralT
+>
+struct unbounded_uint_integral_ops<UnboundedUInt,IntegralT,false>
+{
+ BOOST_STATIC_ASSERT(is_integral<IntegralT>::value);
+
+ typedef UnboundedUInt unbounded_uint_type;
+ typedef IntegralT integral_type;
+
+ typedef unbounded_uint_integral_ops_impl<
+ unbounded_uint_type, integral_type
+ > impl_type;
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, rhs);
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, rhs);
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, rhs);
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, rhs);
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, rhs);
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, y);
+ }
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, rhs);
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, rhs);
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, rhs);
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, rhs);
+ }
+};
+
+
+
+} // namespace base
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/detail/div.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/div.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,174 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_DETAIL_DIV_HPP
-#define BOOST_MP_MATH_MP_INT_DETAIL_DIV_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-
-namespace boost {
-namespace mp_math {
-namespace detail {
-
-// integer signed division.
-// q*b + r == a
-// HAC pp.598 Algorithm 14.20
-//
-// Note that the description in HAC is horribly incomplete. For example, it
-// doesn't consider the case where digits are removed from 'x' in the inner
-// loop. It also doesn't consider the case that y has fewer than three digits,
-// etc..
-// The overall algorithm is as described as 14.20 from HAC but fixed to treat
-// these cases.
-
-// divide a by b, optionally store remainder
-template<class A, class T>
-void classic_divide(const mp_int<A,T>& a, const mp_int<A,T>& b,
- mp_int<A,T>& q, mp_int<A,T>* remainder = 0)
-{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::word_type word_type;
- typedef typename mp_int<A,T>::size_type size_type;
-
- if (!b)
- throw std::domain_error("mp_int::divide: division by zero");
-
- // if *this < b then q=0, r = *this
- if (a.compare_magnitude(b) == -1)
- {
- if (remainder)
- *remainder = a;
- q.zero();
- return;
- }
-
- q.grow_capacity(a.size() + 2);
- q.set_size(a.size() + 2);
- std::memset(q.digits(), 0, q.size() * sizeof(digit_type));
-
- mp_int<A,T> x(a);
- mp_int<A,T> y(b);
-
- // fix the sign
- const int neg = (a.sign() == b.sign()) ? 1 : -1;
- x.set_sign(1);
- y.set_sign(1);
-
- // normalize both x and y, ensure that y >= beta/2, [beta == 2**valid_bits]
- size_type norm = y.precision() % mp_int<A,T>::valid_bits;
- if (norm < mp_int<A,T>::valid_bits - 1)
- {
- norm = mp_int<A,T>::valid_bits - 1 - norm;
- x <<= norm;
- y <<= norm;
- }
- else
- norm = 0;
-
- // note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4
- const size_type n = x.size() - 1;
- const size_type t = y.size() - 1;
-
- // find leading digit of the quotient
- // while (x >= y*beta**(n-t)) do { q[n-t] += 1; x -= y*beta**(n-t) }
- y.shift_digits_left(n - t); // y = y*beta**(n-t)
-
- while (x.compare(y) != -1)
- {
- ++q[n - t];
- x -= y;
- }
-
- // reset y by shifting it back down
- y.shift_digits_right(n - t);
-
- // find the remainder of the digits
- // step 3. for i from n down to (t + 1)
- for (size_type i = n; i >= (t + 1); --i)
- {
- if (i > x.size())
- continue;
-
- // step 3.1 if xi == yt then set q{i-t-1} to beta-1,
- // otherwise set q{i-t-1} to (xi*beta + x{i-1})/yt
- if (x[i] == y[t])
- q[i - t - 1] = mp_int<A,T>::digit_max;
- else
- {
- word_type tmp = static_cast<word_type>(x[i])
- << static_cast<word_type>(mp_int<A,T>::valid_bits);
- tmp |= x[i - 1];
- tmp /= y[t];
- q[i - t - 1] = static_cast<digit_type>(tmp);
- }
-
- // now fixup quotient estimation
- // while (q{i-t-1} * (yt * beta + y{t-1})) >
- // xi * beta**2 + xi-1 * beta + xi-2
- //
- // do q{i-t-1} -= 1;
-
- mp_int<A,T> t1, t2;
- t1.grow_capacity(3);
- t2.grow_capacity(3);
-
- ++q[i - t - 1];
- do
- {
- --q[i - t - 1];
-
- // find left hand
- t1.zero();
- t1[0] = (t == 0) ? 0 : y[t - 1];
- t1[1] = y[t];
- t1.set_size(2);
- t1.multiply_by_digit(q[i - t - 1]);
-
- // find right hand
- t2[0] = (i < 2) ? 0 : x[i - 2];
- t2[1] = (i == 0) ? 0 : x[i - 1];
- t2[2] = x[i];
- t2.set_size(3);
- } while (t1.compare_magnitude(t2) == 1);
-
- // step 3.3 x = x - q{i-t-1} * y * beta**{i-t-1}
- t1 = y;
- t1.multiply_by_digit(q[i - t -1]);
- t1.shift_digits_left(i - t - 1);
- x -= t1;
-
- // if x < 0 then { x = x + y*beta**{i-t-1}; q{i-t-1} -= 1; }
- if (x.is_negative())
- {
- t1 = y;
- t1.shift_digits_left(i - t -1);
- x += t1;
-
- --q[i - t - 1] = q[i - t - 1];
- }
- }
-
- // now q is the quotient and x is the remainder [which we have to normalize]
-
- // get sign before writing to q
- x.set_sign(!x ? 1 : a.sign());
-
- q.clamp();
- q.set_sign(neg);
-
- if (remainder)
- {
- x >>= norm;
- remainder->swap(x);
- }
-}
-
-
-} // namespace detail
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Copied: sandbox/mp_math/boost/mp_math/integer/detail/divider.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/detail/div.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/div.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/divider.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,165 +1,229 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_DETAIL_DIV_HPP
-#define BOOST_MP_MATH_MP_INT_DETAIL_DIV_HPP
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_DIVIDER_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_DIVIDER_HPP
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
+#include <iostream>
+#include <boost/mp_math/integer/detail/shifter.hpp>
namespace boost {
namespace mp_math {
namespace detail {
-// integer signed division.
+template<class ApInt>
+struct divider
+{
+ typedef ApInt int_type;
+ typedef typename int_type::traits_type traits_type;
+ typedef typename traits_type::ops_type ops_type;
+ typedef typename int_type::digit_type digit_type;
+ typedef typename int_type::size_type size_type;
+ typedef shifter<int_type> shifter_type;
+
+ // divide a by b, optionally store remainder
+ static void classic_divide(const ApInt& a, const ApInt& b,
+ ApInt& q, ApInt* remainder = 0);
+};
+
+
+// integer signed division.
// q*b + r == a
// HAC pp.598 Algorithm 14.20
//
-// Note that the description in HAC is horribly incomplete. For example, it
+// Note that the description in HAC is horribly incomplete. For example, it
// doesn't consider the case where digits are removed from 'x' in the inner
-// loop. It also doesn't consider the case that y has fewer than three digits,
+// loop. It also doesn't consider the case that y has fewer than three digits,
// etc..
// The overall algorithm is as described as 14.20 from HAC but fixed to treat
// these cases.
-
-// divide a by b, optionally store remainder
-template<class A, class T>
-void classic_divide(const mp_int<A,T>& a, const mp_int<A,T>& b,
- mp_int<A,T>& q, mp_int<A,T>* remainder = 0)
+template<class ApInt>
+void divider<ApInt>::classic_divide(const ApInt& a, const ApInt& b,
+ ApInt& q, ApInt* remainder)
{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::word_type word_type;
- typedef typename mp_int<A,T>::size_type size_type;
+ typedef typename traits_type::word_type word_type;
if (!b)
- throw std::domain_error("mp_int::divide: division by zero");
+ throw std::domain_error("unbounded::divide: division by zero");
+
+ if (b.size() == 1)
+ {
+ q.reserve(a.size());
+ q.set_size(a.size());
+ const digit_type r =
+ ops_type::divide_by_digit(q.digits(), a.digits(), a.size(), b[0]);
+ q.clamp();
+ if (remainder)
+ *remainder = r;
+ return;
+ }
- // if *this < b then q=0, r = *this
- if (a.compare_magnitude(b) == -1)
+ if (ops_type::compare_magnitude(a.digits(), a.size(),
+ b.digits(), b.size()) == -1)
{
if (remainder)
*remainder = a;
- q.zero();
+ q = digit_type(0);
return;
}
- q.grow_capacity(a.size() + 2);
+ q.reserve(a.size() + 2);
q.set_size(a.size() + 2);
std::memset(q.digits(), 0, q.size() * sizeof(digit_type));
- mp_int<A,T> x(a);
- mp_int<A,T> y(b);
+ ApInt x;
+ ApInt y;
+
+ x.reserve(a.size() + 1);
+ y.reserve(b.size() + 1);
- // fix the sign
- const int neg = (a.sign() == b.sign()) ? 1 : -1;
- x.set_sign(1);
- y.set_sign(1);
-
- // normalize both x and y, ensure that y >= beta/2, [beta == 2**valid_bits]
- size_type norm = y.precision() % mp_int<A,T>::valid_bits;
- if (norm < mp_int<A,T>::valid_bits - 1)
- {
- norm = mp_int<A,T>::valid_bits - 1 - norm;
- x <<= norm;
- y <<= norm;
+ // TODO optimize by creating shift_bits_left(digit_type* z,
+ // const digit_type* x, size_type xlen, size_type n) function and using it in
+ // the if below
+ std::memcpy(x.digits(), a.digits(), a.size() * sizeof(digit_type));
+ std::memcpy(y.digits(), b.digits(), b.size() * sizeof(digit_type));
+
+ x.set_size(a.size());
+ y.set_size(b.size());
+
+ // normalize both x and y, ensure that y >= radix/2
+ size_type norm = y.precision() % traits_type::radix_bits;
+ if (norm < traits_type::radix_bits - 1)
+ {
+ norm = traits_type::radix_bits - 1 - norm;
+ {
+ const digit_type carry =
+ ops_type::shift_bits_left(x.digits(), x.size(), norm);
+ if (carry)
+ x.push(carry);
+ }
+ {
+ const digit_type carry =
+ ops_type::shift_bits_left(y.digits(), y.size(), norm);
+ if (carry)
+ y.push(carry);
+ }
}
else
norm = 0;
- // note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4
+ // note hac does 0 based, so if size==5 then its 0,1,2,3,4, e.g. use 4
const size_type n = x.size() - 1;
const size_type t = y.size() - 1;
// find leading digit of the quotient
- // while (x >= y*beta**(n-t)) do { q[n-t] += 1; x -= y*beta**(n-t) }
- y.shift_digits_left(n - t); // y = y*beta**(n-t)
+ // while (x >= y*radix^(n-t)) do { q[n-t] += 1; x -= y*radix^(n-t) }
- while (x.compare(y) != -1)
+ // here we pretend that we shifted y by (n-t) digits to the left
+ while (ops_type::compare_magnitude(
+ x.digits() + (n-t), y.size(), y.digits(), y.size()) != -1)
{
++q[n - t];
- x -= y;
+ ops_type::sub_smaller_magnitude(
+ x.digits() + (n-t), x.digits() + (n-t), y.size(), y.digits(), y.size());
+ x.clamp();
}
- // reset y by shifting it back down
- y.shift_digits_right(n - t);
+ // moved temporary construction out of the loop below
+ ApInt u;
+ u.reserve(y.size() + (n - t));
// find the remainder of the digits
- // step 3. for i from n down to (t + 1)
for (size_type i = n; i >= (t + 1); --i)
{
if (i > x.size())
continue;
- // step 3.1 if xi == yt then set q{i-t-1} to beta-1,
- // otherwise set q{i-t-1} to (xi*beta + x{i-1})/yt
+ const size_type offset = i - t - 1;
+
+ // step 3.1 if xi == yt then set q{i-t-1} to radix-1,
+ // otherwise set q{i-t-1} to (xi*radix + x{i-1})/yt
if (x[i] == y[t])
- q[i - t - 1] = mp_int<A,T>::digit_max;
+ q[offset] = traits_type::max_digit_value;
else
{
word_type tmp = static_cast<word_type>(x[i])
- << static_cast<word_type>(mp_int<A,T>::valid_bits);
+ << static_cast<word_type>(traits_type::radix_bits);
tmp |= x[i - 1];
tmp /= y[t];
- q[i - t - 1] = static_cast<digit_type>(tmp);
+ q[offset] = static_cast<digit_type>(tmp);
}
// now fixup quotient estimation
- // while (q{i-t-1} * (yt * beta + y{t-1})) >
- // xi * beta**2 + xi-1 * beta + xi-2
+ // while (q{i-t-1} * (yt * radix + y{t-1})) >
+ // xi * radix^2 + xi-1 * radix + xi-2
//
// do q{i-t-1} -= 1;
- mp_int<A,T> t1, t2;
- t1.grow_capacity(3);
- t2.grow_capacity(3);
+ digit_type t1[3];
+ digit_type t2[3];
- ++q[i - t - 1];
+ ++q[offset];
do
{
- --q[i - t - 1];
+ --q[offset];
// find left hand
- t1.zero();
t1[0] = (t == 0) ? 0 : y[t - 1];
t1[1] = y[t];
- t1.set_size(2);
- t1.multiply_by_digit(q[i - t - 1]);
+ t1[2] = ops_type::multiply_by_digit(t1, t1, 2, q[offset]);
// find right hand
t2[0] = (i < 2) ? 0 : x[i - 2];
t2[1] = (i == 0) ? 0 : x[i - 1];
t2[2] = x[i];
- t2.set_size(3);
- } while (t1.compare_magnitude(t2) == 1);
-
- // step 3.3 x = x - q{i-t-1} * y * beta**{i-t-1}
- t1 = y;
- t1.multiply_by_digit(q[i - t -1]);
- t1.shift_digits_left(i - t - 1);
- x -= t1;
+ } while (ops_type::compare_magnitude(t1, 3, t2, 3) == 1);
- // if x < 0 then { x = x + y*beta**{i-t-1}; q{i-t-1} -= 1; }
- if (x.is_negative())
+ // step 3.3 x = x - q{i-t-1} * y * radix^{i-t-1}
+ std::memset(u.digits(), 0, offset * sizeof(digit_type));
+ const digit_type carry =
+ ops_type::multiply_by_digit(u.digits() + offset,
+ y.digits(), y.size(), q[offset]);
+ u.set_size(y.size() + offset);
+ if (carry)
+ u.push(carry);
+ u.clamp();
+
+ // if x < 0 then { x = x + y*radix^{i-t-1}; q{i-t-1} -= 1; }
+ // We check if x will become less than zero before we subtract, in that case
+ // we adjust x before the subtraction.
+ if (ops_type::compare_magnitude(x.digits(), x.size(),
+ u.digits(), u.size()) == -1)
{
- t1 = y;
- t1.shift_digits_left(i - t -1);
- x += t1;
+ digit_type* x_off = x.digits() + offset;
+
+ digit_type carry =
+ ops_type::add_digits(x_off, x_off, y.digits(), y.size());
- --q[i - t - 1] = q[i - t - 1];
+ ops_type::ripple_carry(x_off + y.size(),
+ x_off + y.size(),
+ x.size() - y.size() - offset,
+ carry);
+
+ if (carry)
+ {
+ // TODO can this happen, do I need to reserve one more digit?
+ x.push(carry);
+ }
+
+ --q[offset];
}
+
+ ops_type::sub_smaller_magnitude(x.digits(), x.digits(), x.size(),
+ u.digits(), u.size());
+ x.clamp();
}
// now q is the quotient and x is the remainder [which we have to normalize]
-
- // get sign before writing to q
- x.set_sign(!x ? 1 : a.sign());
q.clamp();
- q.set_sign(neg);
if (remainder)
{
+ // TODO optimize by having shift_right(z, x, xlen, n) function
x >>= norm;
remainder->swap(x);
}
Copied: sandbox/mp_math/boost/mp_math/integer/detail/gcd.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/gcd.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/gcd.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/gcd.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,68 +1,116 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_GCD_HPP
-#define BOOST_MP_MATH_MP_INT_GCD_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_GCD_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_GCD_HPP
namespace boost {
namespace mp_math {
+namespace detail {
-// Greatest Common Divisor using the binary method
-template<class A, class T>
-mp_int<A,T> gcd(const mp_int<A,T>& a, const mp_int<A,T>& b)
+
+template<class ApInt, bool IsSigned = ApInt::is_signed>
+struct gcd_finder;
+
+
+template<class ApInt>
+struct gcd_finder<ApInt, false>
+{
+ static void gcd(ApInt& z, const ApInt& a, const ApInt& b);
+ static void binary_method(ApInt& z, ApInt& u, ApInt& v);
+};
+
+
+template<class ApInt>
+void gcd_finder<ApInt, false>::gcd(ApInt& z, const ApInt& a, const ApInt& b)
{
// either zero then gcd is the largest
if (!a)
- return abs(b);
+ {
+ z = b;
+ return;
+ }
+
if (!b)
- return abs(a);
+ {
+ z = a;
+ return;
+ }
// get copies of a and b we can modify
- mp_int<A,T> u = abs(a);
- mp_int<A,T> v = abs(b);
+ ApInt u(a);
+ ApInt v(b);
- typedef typename mp_int<A,T>::size_type size_type;
+ binary_method(z, u, v);
+}
+
+// Greatest Common Divisor using the binary method
+template<class ApInt>
+void gcd_finder<ApInt, false>::binary_method(ApInt& z, ApInt& u, ApInt& v)
+{
+ typedef typename ApInt::size_type size_type;
// Find the common power of two for u and v
- const size_type u_lsb = u.count_lsb();
- const size_type v_lsb = v.count_lsb();
- const size_type k = std::min(u_lsb, v_lsb);
+ const size_type u_tzb = u.count_trailing_zero_bits();
+ const size_type v_tzb = v.count_trailing_zero_bits();
+ const size_type k = std::min(u_tzb, v_tzb);
// divide out powers of two
- u >>= u_lsb;
- v >>= v_lsb;
+ u >>= u_tzb;
+ v >>= v_tzb;
while (v)
{
if (u > v)
u.swap(v);
-
- v.sub_smaller_magnitude(u);
+
+ v -= u;
// Divide out all factors of two
- v >>= v.count_lsb();
- }
+ v >>= v.count_trailing_zero_bits();
+ }
- // multiply by 2**k which we divided out at the beginning
+ // multiply by 2^k which we divided out at the beginning
u <<= k;
- return u;
+ swap(z, u);
}
-#ifdef BOOST_HAS_VARIADIC_TMPL
-template<class A, class T, class... MpInts>
-mp_int<A,T> gcd(const mp_int<A,T>& a, const mp_int<A,T>& b, const MpInts&... args)
+
+template<class ApInt>
+struct gcd_finder<ApInt, true>
+{
+ static void gcd(ApInt& z, const ApInt& a, const ApInt& b);
+};
+
+
+template<class ApInt>
+void gcd_finder<ApInt, true>::gcd(ApInt& z, const ApInt& a, const ApInt& b)
{
- return gcd(gcd(a, b), args...);
+ // either zero then gcd is the largest
+ if (!a)
+ {
+ z = abs(b);
+ return;
+ }
+ if (!b)
+ {
+ z = abs(a);
+ return;
+ }
+
+ // get copies of a and b we can modify
+ ApInt u = abs(a);
+ ApInt v = abs(b);
+
+ gcd_finder<ApInt, false>::binary_method(z, u, v);
}
-#endif
+} // namespace detail
} // namespace mp_math
} // namespace boost
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/detail/integral_ops.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/integral_ops.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,713 +0,0 @@
-// Copyright Kevin Sopp 2008 - 2009.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_DETAIL_INTEGRAL_OPS_HPP
-#define BOOST_MP_MATH_MP_INT_DETAIL_INTEGRAL_OPS_HPP
-
-#include <boost/static_assert.hpp>
-#include <boost/mpl/greater.hpp>
-#include <boost/type_traits/is_integral.hpp>
-#include <boost/type_traits/make_unsigned.hpp>
-#include <boost/mp_math/mp_int/detail/meta_math.hpp>
-
-// here we optimize interaction with built in integral types
-
-namespace boost {
-namespace mp_math {
-
-template<class A, class T>
-struct mp_int;
-
-namespace detail {
-
-
-template<
- typename IntegralT,
- class MpInt,
- bool is_signed = std::numeric_limits<IntegralT>::is_signed
->
-struct integral_ops_impl
-{};
-
-
-template<
- typename IntegralT,
- class MpInt
->
-struct integral_ops_impl<IntegralT, MpInt, false>
-{
- static void assign (MpInt& lhs, IntegralT rhs);
-
- static bool equal (const MpInt& lhs, IntegralT rhs);
- static bool less (const MpInt& lhs, IntegralT rhs);
-
- static void add (MpInt& lhs, IntegralT rhs);
- static void subtract(MpInt& lhs, IntegralT rhs);
- static void multiply(MpInt& lhs, IntegralT rhs);
- static void divide (MpInt& lhs, IntegralT rhs);
- static void modulo (MpInt& lhs, IntegralT rhs);
-
- static void bitwise_or (MpInt& lhs, IntegralT rhs);
- static void bitwise_and(MpInt& lhs, IntegralT rhs);
- static void bitwise_xor(MpInt& lhs, IntegralT rhs);
-
-private:
-
- static const typename MpInt::size_type q =
- std::numeric_limits<IntegralT>::digits / (MpInt::valid_bits + 1) + 1;
-
- static bool equal_to_integral_type(const MpInt& x, IntegralT y)
- {
- try
- {
- return x.template to_integral<IntegralT>() == y;
- }
- catch (const std::overflow_error&)
- {
- return false;
- }
- }
-};
-
-
-template<
- typename IntegralT,
- class MpInt
->
-struct integral_ops_impl<IntegralT, MpInt, true>
-{
- static void assign (MpInt& lhs, IntegralT rhs);
-
- static bool equal (const MpInt& lhs, IntegralT rhs);
- static bool less (const MpInt& lhs, IntegralT rhs);
-
- static void add (MpInt& lhs, IntegralT rhs);
- static void subtract(MpInt& lhs, IntegralT rhs);
- static void multiply(MpInt& lhs, IntegralT rhs);
- static void divide (MpInt& lhs, IntegralT rhs);
- static void modulo (MpInt& lhs, IntegralT rhs);
-
- static void bitwise_or (MpInt& lhs, IntegralT rhs);
- static void bitwise_and(MpInt& lhs, IntegralT rhs);
- static void bitwise_xor(MpInt& lhs, IntegralT rhs);
-
-private:
-
- typedef typename make_unsigned<IntegralT>::type unsigned_type;
-
- static const typename MpInt::size_type q =
- (std::numeric_limits<IntegralT>::digits + (MpInt::valid_bits - 1))
- / MpInt::valid_bits;
-
- static bool equal_to_integral_type(const MpInt& x, IntegralT y)
- {
- try
- {
- return x.template to_integral<IntegralT>() == y;
- }
- catch (const std::overflow_error&)
- {
- return false;
- }
- }
-};
-
-
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, false>::assign(MpInt& lhs, IntegralT rhs)
-{
- lhs.zero();
-
- typedef typename MpInt::digit_type digit_type;
-
- if (rhs <= MpInt::digit_max)
- lhs[0] = static_cast<digit_type>(rhs);
- else
- {
- static const int ud = std::numeric_limits<IntegralT>::digits;
- static const int dd = MpInt::valid_bits;
- static const int m = dd < ud ? dd : ud;
- static const int h = m / 2;
- // set h bits at a time
- for (int i = 0; i < ud / h; ++i)
- {
- // shift the number up h bits
- lhs <<= h;
- // TODO optimize shift. only need to call grow_capacity once here
- // then use lower level shift_left(lhs.digits_, h);
-
- // OR in the top h bits of the source
- lhs[0] |= (rhs >> (ud-h)) & (power<IntegralT,2,h>::value - 1);
-
- // shift the source up to the next h bits
- rhs <<= h;
- }
- lhs.clamp();
- }
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, true>::assign(MpInt& lhs, IntegralT rhs)
-{
- int sign;
- unsigned_type tmp;
- if (rhs >= 0)
- {
- sign = 1;
- tmp = rhs;
- }
- else
- {
- sign = -1;
- // XXX using unary - may lose information on platforms without two's
- // complement binary representation of integers. This conversion is well
- // defined only within the minimum guaranteed integral limits given by the
- // standard. In the functions below we use this several times again.
- tmp = -rhs;
- }
-
- integral_ops_impl<unsigned_type,MpInt>::assign(lhs, tmp);
-
- lhs.set_sign(sign);
-}
-
-template<typename IntegralT, class MpInt>
-bool
-integral_ops_impl<IntegralT, MpInt, false>::equal(const MpInt& lhs, IntegralT rhs)
-{
- if (lhs.size() > q)
- return false;
-
- return equal_to_integral_type(lhs, rhs);
-}
-
-template<typename IntegralT, class MpInt>
-bool
-integral_ops_impl<IntegralT, MpInt, true>::equal(const MpInt& lhs, IntegralT rhs)
-{
- const int rhs_sign = rhs < 0 ? -1 : 1;
-
- if (lhs.sign() != rhs_sign)
- return false;
-
- if (lhs.size() > q)
- return false;
-
- return equal_to_integral_type(lhs, rhs);
-}
-
-template<typename IntegralT, class MpInt>
-bool
-integral_ops_impl<IntegralT, MpInt, false>::less(const MpInt& lhs, IntegralT rhs)
-{
- if (lhs.sign() == -1)
- return true;
-
- if (lhs.size() > q)
- return false;
-
- return lhs.template to_integral<IntegralT>() < rhs;
-}
-
-template<typename IntegralT, class MpInt>
-bool
-integral_ops_impl<IntegralT, MpInt, true>::less(const MpInt& lhs, IntegralT rhs)
-{
- if (lhs.sign() == -1 && rhs >= 0)
- return true;
-
- if (lhs.sign() == 1 && rhs < 0)
- return false;
-
- static const typename MpInt::size_type rhs_precision =
- static_cast<typename MpInt::size_type>(
- std::numeric_limits<IntegralT>::digits);
-
- if (lhs.precision() > rhs_precision)
- return lhs.sign() == -1;
-
- return lhs.template to_integral<IntegralT>() < rhs;
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, false>::add(MpInt& lhs, IntegralT rhs)
-{
- if (rhs <= MpInt::digit_max)
- lhs.add_digit(static_cast<typename MpInt::digit_type>(rhs));
- else
- lhs += MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, true>::add(MpInt& lhs, IntegralT rhs)
-{
- if (rhs >= 0)
- {
- if (static_cast<unsigned_type>(rhs) <= MpInt::digit_max)
- {
- lhs.add_digit(static_cast<typename MpInt::digit_type>(rhs));
- return;
- }
- }
- else
- {
- const unsigned_type tmp(-rhs);
- if (tmp <= MpInt::digit_max)
- {
- lhs.sub_digit(static_cast<typename MpInt::digit_type>(tmp));
- return;
- }
- }
-
- // TODO: we're touching the allocator below...
- // we can probably do better maybe we can store the Integral to a
- // digits array on the stack, then use the addition algorithm to
- // add the numbers, or create a fixed precision int that can live on
- // the stack and write operator += to let mp_int interact with fp_int
- // the same goes for all other ops in this file that do this kind of stuff.
- lhs += MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, false>::subtract(MpInt& lhs, IntegralT rhs)
-{
- if (rhs <= MpInt::digit_max)
- lhs.sub_digit(static_cast<typename MpInt::digit_type>(rhs));
- else
- lhs -= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, true>::subtract(MpInt& lhs, IntegralT rhs)
-{
- if (rhs >= 0)
- {
- if (static_cast<unsigned_type>(rhs) <= MpInt::digit_max)
- {
- lhs.sub_digit(static_cast<typename MpInt::digit_type>(rhs));
- return;
- }
- }
- else
- {
- const unsigned_type tmp(-rhs);
- if (tmp <= MpInt::digit_max)
- {
- lhs.add_digit(static_cast<typename MpInt::digit_type>(tmp));
- return;
- }
- }
-
- lhs -= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, false>::multiply(MpInt& lhs, IntegralT rhs)
-{
- if (rhs <= MpInt::digit_max)
- lhs.multiply_by_digit(static_cast<typename MpInt::digit_type>(rhs));
- else
- lhs *= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, true>::multiply(MpInt& lhs, IntegralT rhs)
-{
- int sign;
- unsigned_type tmp;
- if (rhs >= 0)
- {
- sign = 1;
- tmp = rhs;
- }
- else
- {
- sign = -1;
- tmp = -rhs;
- }
-
- if (tmp <= MpInt::digit_max)
- {
- lhs.multiply_by_digit(static_cast<typename MpInt::digit_type>(tmp));
- lhs.set_sign(lhs.sign() * sign);
- }
- else
- lhs *= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, false>::divide(MpInt& lhs, IntegralT rhs)
-{
- if (rhs <= MpInt::digit_max)
- lhs.divide_by_digit(rhs);
- else
- lhs /= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, true>::divide(MpInt& lhs, IntegralT rhs)
-{
- int sign;
- unsigned_type tmp;
- if (rhs >= 0)
- {
- sign = 1;
- tmp = rhs;
- }
- else
- {
- sign = -1;
- tmp = -rhs;
- }
-
- if (tmp <= MpInt::digit_max)
- {
- lhs.divide_by_digit(static_cast<typename MpInt::digit_type>(tmp));
- lhs.set_sign(lhs.sign() / sign);
- }
- else
- lhs /= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, false>::modulo(MpInt& lhs, IntegralT rhs)
-{
- if (rhs <= MpInt::digit_max)
- {
- lhs[0] = lhs.divide_by_digit(rhs);
- lhs.set_size(1);
- }
- else
- lhs %= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, true>::modulo(MpInt& lhs, IntegralT rhs)
-{
- unsigned_type tmp;
- if (rhs >= 0)
- tmp = rhs;
- else
- tmp = -rhs;
-
- if (tmp <= MpInt::digit_max)
- {
- lhs[0] = lhs.divide_by_digit(static_cast<typename MpInt::digit_type>(tmp));
- lhs.set_size(1);
- }
- else
- lhs %= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, false>::bitwise_or(MpInt& lhs, IntegralT rhs)
-{
- if (rhs <= MpInt::digit_max)
- lhs[0] |= static_cast<typename MpInt::digit_type>(rhs);
- else
- lhs |= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, true>::bitwise_or(MpInt& lhs, IntegralT rhs)
-{
- // we care only about the absolute value of rhs
- unsigned_type tmp;
- if (rhs >= 0)
- tmp = rhs;
- else
- tmp = -rhs;
-
- if (tmp <= MpInt::digit_max)
- lhs[0] |= static_cast<typename MpInt::digit_type>(tmp);
- else
- lhs |= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, false>::bitwise_and(MpInt& lhs, IntegralT rhs)
-{
- if (rhs <= MpInt::digit_max)
- lhs[0] &= static_cast<typename MpInt::digit_type>(rhs);
- else
- lhs &= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, true>::bitwise_and(MpInt& lhs, IntegralT rhs)
-{
- unsigned_type tmp;
- if (rhs >= 0)
- tmp = rhs;
- else
- tmp = -rhs;
-
- if (tmp <= MpInt::digit_max)
- lhs[0] &= static_cast<typename MpInt::digit_type>(tmp);
- else
- lhs &= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, false>::bitwise_xor(MpInt& lhs, IntegralT rhs)
-{
- if (rhs <= MpInt::digit_max)
- lhs[0] ^= static_cast<typename MpInt::digit_type>(rhs);
- else
- lhs ^= MpInt(rhs);
-}
-
-template<typename IntegralT, class MpInt>
-void
-integral_ops_impl<IntegralT, MpInt, true>::bitwise_xor(MpInt& lhs, IntegralT rhs)
-{
- unsigned_type tmp;
- if (rhs >= 0)
- tmp = rhs;
- else
- tmp = -rhs;
-
- if (tmp <= MpInt::digit_max)
- lhs[0] ^= static_cast<typename MpInt::digit_type>(tmp);
- else
- lhs ^= MpInt(rhs);
-}
-
-
-
-
-
-template<
- typename IntegralT,
- class MpInt,
- bool is_signed = std::numeric_limits<IntegralT>::is_signed,
- bool is_larger = (std::numeric_limits<IntegralT>::digits > MpInt::valid_bits)
->
-struct integral_ops2
-{};
-
-
-template<typename IntegralT, class MpInt>
-struct integral_ops2<IntegralT, MpInt, true, true>
-{
- typedef std::numeric_limits<IntegralT> integral_type_limits;
- typedef typename make_unsigned<IntegralT>::type unsigned_type;
-
- static IntegralT to_integral(const MpInt& x);
-};
-
-template<typename IntegralT, class MpInt>
-struct integral_ops2<IntegralT, MpInt, true, false>
-{
- typedef std::numeric_limits<IntegralT> integral_type_limits;
- typedef typename make_unsigned<IntegralT>::type unsigned_type;
-
- static IntegralT to_integral(const MpInt& x);
-};
-
-template<typename IntegralT, class MpInt>
-struct integral_ops2<IntegralT, MpInt, false, true>
-{
- typedef std::numeric_limits<IntegralT> integral_type_limits;
-
- static IntegralT apply_shift(const MpInt& x);
- static IntegralT to_integral(const MpInt& x);
-};
-
-template<typename IntegralT, class MpInt>
-struct integral_ops2<IntegralT, MpInt, false, false>
-{
- typedef std::numeric_limits<IntegralT> integral_type_limits;
-
- static IntegralT apply_shift(const MpInt& x);
- static IntegralT to_integral(const MpInt& x);
-};
-
-
-template<typename IntegralT, class MpInt>
-IntegralT integral_ops2<IntegralT, MpInt, true, true>::to_integral(const MpInt& x)
-{
- if (x.size() == 1)
- {
- if (x.digits()[0] <= integral_type_limits::max())
- return static_cast<IntegralT>(x.sign()) *
- static_cast<IntegralT>(x[0]);
- throw std::overflow_error(
- "to_integral: integral type does not have enough precision to hold result");
- }
-
- const unsigned_type tmp = integral_ops2<unsigned_type, MpInt>::apply_shift(x);
-
- return static_cast<IntegralT>(x.sign()) * static_cast<IntegralT>(tmp);
-}
-
-template<typename IntegralT, class MpInt>
-IntegralT integral_ops2<IntegralT, MpInt, true, false>::to_integral(const MpInt& x)
-{
- if (x.size() == 1)
- return static_cast<IntegralT>(x.sign()) * static_cast<IntegralT>(x[0]);
-
- const unsigned_type tmp = integral_ops2<unsigned_type, MpInt>::apply_shift(x);
-
- return static_cast<IntegralT>(x.sign()) * static_cast<IntegralT>(tmp);
-}
-
-template<typename IntegralT, class MpInt>
-IntegralT integral_ops2<IntegralT, MpInt, false, true>::apply_shift(const MpInt& x)
-{
- int shift_count = 0;
- IntegralT tmp = 0;
-
- for (typename MpInt::const_reverse_iterator digit = x.rbegin();
- digit != x.rend(); ++digit)
- {
- tmp <<= MpInt::valid_bits;
- if (shift_count++ * MpInt::valid_bits > integral_type_limits::digits)
- throw std::overflow_error(
- "to_integral: integral type does not have enough precision to hold result");
- tmp |= *digit & (power<IntegralT,2,MpInt::valid_bits>::value - 1);
- }
-
- return tmp;
-}
-
-template<typename IntegralT, class MpInt>
-IntegralT integral_ops2<IntegralT, MpInt, false, true>::to_integral(const MpInt& x)
-{
- if (x.sign() == 1)
- {
- if (x.size() == 1 && x[0] <= integral_type_limits::max())
- return static_cast<IntegralT>(x[0]);
- }
- else
- throw std::overflow_error(
- "to_integral: cannot convert negative number to unsigned integral type");
-
- return apply_shift(x);
-}
-
-template<typename IntegralT, class MpInt>
-IntegralT integral_ops2<IntegralT, MpInt, false, false>::apply_shift(const MpInt&)
-{
- throw std::overflow_error(
- "to_integral: integral type does not have enough precision to hold result");
-}
-
-template<typename IntegralT, class MpInt>
-IntegralT integral_ops2<IntegralT, MpInt, false, false>::to_integral(const MpInt& x)
-{
- if (x.size() == 1)
- return static_cast<IntegralT>(x[0]);
- else
- return apply_shift(x);
-}
-
-
-
-////////////////////////////////////////////////////////////////////////////
-
-template<typename IntegralT>
-struct integral_ops
-{
- BOOST_STATIC_ASSERT(boost::is_integral<IntegralT>::value);
-
- template<class A, class T>
- static IntegralT convert(const mp_int<A,T>& x)
- {
- return integral_ops2<IntegralT, mp_int<A,T> >::to_integral(x);
- }
-
- template<class A, class T>
- static void assign(mp_int<A,T>& lhs, IntegralT rhs)
- {
- integral_ops_impl<IntegralT, mp_int<A,T> >::assign(lhs, rhs);
- }
-
- template<class A, class T>
- static bool equal(const mp_int<A,T>& lhs, IntegralT rhs)
- {
- return integral_ops_impl<IntegralT, mp_int<A,T> >::equal(lhs, rhs);
- }
-
- template<class A, class T>
- static bool less(const mp_int<A,T>& lhs, IntegralT rhs)
- {
- return integral_ops_impl<IntegralT, mp_int<A,T> >::less(lhs, rhs);
- }
-
- template<class A, class T>
- static void add(mp_int<A,T>& lhs, IntegralT rhs)
- {
- integral_ops_impl<IntegralT, mp_int<A,T> >::add(lhs, rhs);
- }
-
- template<class A, class T>
- static void subtract(mp_int<A,T>& lhs, IntegralT rhs)
- {
- integral_ops_impl<IntegralT, mp_int<A,T> >::subtract(lhs, rhs);
- }
-
- template<class A, class T>
- static void multiply(mp_int<A,T>& lhs, IntegralT rhs)
- {
- integral_ops_impl<IntegralT, mp_int<A,T> >::multiply(lhs, rhs);
- }
-
- template<class A, class T>
- static void divide(mp_int<A,T>& lhs, IntegralT rhs)
- {
- integral_ops_impl<IntegralT, mp_int<A,T> >::divide(lhs, rhs);
- }
-
- template<class A, class T>
- static void modulo(mp_int<A,T>& lhs, IntegralT rhs)
- {
- integral_ops_impl<IntegralT, mp_int<A,T> >::modulo(lhs, rhs);
- }
-
- template<class A, class T>
- static void bitwise_or(mp_int<A,T>& lhs, IntegralT rhs)
- {
- integral_ops_impl<IntegralT, mp_int<A,T> >::bitwise_or(lhs, rhs);
- }
-
- template<class A, class T>
- static void bitwise_and(mp_int<A,T>& lhs, IntegralT rhs)
- {
- integral_ops_impl<IntegralT, mp_int<A,T> >::bitwise_and(lhs, rhs);
- }
-
- template<class A, class T>
- static void bitwise_xor(mp_int<A,T>& lhs, IntegralT rhs)
- {
- integral_ops_impl<IntegralT, mp_int<A,T> >::bitwise_xor(lhs, rhs);
- }
-};
-
-
-} // namespace detail
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Copied: sandbox/mp_math/boost/mp_math/integer/detail/jacobi.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/jacobi.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/jacobi.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/jacobi.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,31 +1,33 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_JACOBI_HPP
-#define BOOST_MP_MATH_MP_INT_JACOBI_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_JACOBI_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_JACOBI_HPP
namespace boost {
namespace mp_math {
+namespace detail {
// computes the jacobi c = (a | p) (or Legendre if p is prime)
// HAC pp. 73 Algorithm 2.149
-template<class A, class T>
-int jacobi(const mp_int<A,T>& a, const mp_int<A,T>& p)
+template<class ApInt>
+int jacobi(const ApInt& a, const ApInt& p)
{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::size_type size_type;
+ typedef typename ApInt::digit_type digit_type;
+ typedef typename ApInt::size_type size_type;
if (p <= digit_type(0))
throw std::domain_error("jacobi: p must be greater than 0");
+ std::cout << "a = "; a.print();
+ std::cout << "p = "; p.print();
if (!a)
return 0;
-
+
if (a == digit_type(1))
return 1;
@@ -33,19 +35,19 @@
int s = 0;
// write a = a1 * 2**k
- mp_int<A,T> a1(a);
+ ApInt a1(a);
// find largest power of two that divides a1
- const size_type k = a1.count_lsb();
+ const size_type k = a1.count_trailing_zero_bits();
// now divide by it
- a1.shift_right(k,0);
+ a1 >>= k;
// if k is even set s=1
if ((k & 1) == 0)
s = 1;
else
{
- // calculate p.digits_[0] mod 8
+ // calculate p[0] mod 8
const digit_type residue = p[0] & 7;
if (residue == 1 || residue == 7)
@@ -58,16 +60,15 @@
if (((p[0] & 3) == 3) && ((a1[0] & 3) == 3))
s = -s;
+ std::cout << "a1 = "; a1.print();
if (a1 == digit_type(1))
return s;
else
- {
- const mp_int<A,T> p1(p % a1);
- return s * jacobi(p1, a1);
- }
+ return s * jacobi(p % a1, a1);
}
+} // namespace detail
} // namespace mp_math
} // namespace boost
Copied: sandbox/mp_math/boost/mp_math/integer/detail/lcm.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/lcm.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/lcm.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/lcm.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,45 +1,69 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_LCM_HPP
-#define BOOST_MP_MATH_MP_INT_LCM_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_LCM_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_LCM_HPP
namespace boost {
namespace mp_math {
+namespace detail {
+
+// compute least common multiple as |a*b|/gcd(a,b)
+
+template<class ApInt, bool IsSigned = ApInt::is_signed>
+struct lcm_finder;
-// computes least common multiple as |a*b|/gcd(a,b)
-template<class A, class T>
-mp_int<A,T> lcm(const mp_int<A,T>& a, const mp_int<A,T>& b)
+
+template<class ApInt>
+struct lcm_finder<ApInt, false>
+{
+ static void lcm(ApInt& z, const ApInt& a, const ApInt& b);
+};
+
+
+template<class ApInt>
+void lcm_finder<ApInt, false>::lcm(ApInt& z, const ApInt& a, const ApInt& b)
{
- mp_int<A,T> result;
-
if (!a || !b)
{
- result.zero();
- return result;
+ z = typename ApInt::digit_type(0);
+ return;
}
-
- result = a / gcd(a, b) * b;
- result.set_sign(1);
-
- return result;
+ const ApInt u(a);
+ const ApInt v(b);
+
+ z = u / gcd(u, v) * v;
}
-#ifdef BOOST_HAS_VARIADIC_TMPL
-template<class A, class T, class... MpInts>
-mp_int<A,T> lcm(const mp_int<A,T>& a, const mp_int<A,T>& b, const MpInts&... args)
+
+template<class ApInt>
+struct lcm_finder<ApInt, true>
{
- return lcm(lcm(a, b), args...);
+ static void lcm(ApInt& z, const ApInt& a, const ApInt& b);
+};
+
+
+template<class ApInt>
+void lcm_finder<ApInt, true>::lcm(ApInt& z, const ApInt& a, const ApInt& b)
+{
+ if (!a || !b)
+ {
+ z = typename ApInt::digit_type(0);
+ return;
+ }
+
+ const ApInt u = abs(a);
+ const ApInt v = abs(b);
+
+ z = u / gcd(u, v) * v;
}
-#endif
+} // namespace detail
} // namespace mp_math
} // namespace boost
Modified: sandbox/mp_math/boost/mp_math/integer/detail/meta_math.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/meta_math.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/meta_math.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -14,7 +14,7 @@
// power -----------------------------------------------------------------------
-
+/*
template<
typename IntegralT,
IntegralT X, IntegralT Y,
@@ -40,7 +40,7 @@
struct power
{
static const IntegralT value = power_impl<IntegralT,X,Y>::value;
-};
+};*/
Modified: sandbox/mp_math/boost/mp_math/integer/detail/modinv.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/modinv.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/modinv.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,67 +1,98 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_DETAIL_MODINV_HPP
-#define BOOST_MP_MATH_MP_INT_DETAIL_MODINV_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_MODINV_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_MODINV_HPP
+#include <boost/mp_math/integer/detail/base/divider.hpp>
namespace boost {
namespace mp_math {
namespace detail {
-// hac 14.61, pp608
-template<class A1, class T>
-mp_int<A1,T> even_modinv(const mp_int<A1,T>& z, const mp_int<A1,T>& m)
+
+template<class ApInt>
+struct modular_inverter
+{
+ typedef typename ApInt::digit_type digit_type;
+ typedef base::divider<ApInt> base_divider_type;
+
+ static void modinv (ApInt& z, const ApInt& x, const ApInt& m);
+ static void even_modinv(ApInt& z, const ApInt& x, const ApInt& m);
+ static void odd_modinv (ApInt& z, const ApInt& x, const ApInt& m);
+};
+
+
+// returns the modular multiplicative inverse z of x (mod m) such that
+// z * x = 1 (mod m) =>
+// x^-1 = z (mod m)
+// The inverse exists only if a and m are coprime (i.e. gcd(a,m) = 1).
+// If no inverse exists this function will throw std::domain_error.
+template<class ApInt>
+void
+modular_inverter<ApInt>::modinv(ApInt& z, const ApInt& x, const ApInt& m)
{
- typedef typename mp_int<A1,T>::digit_type digit_type;
+ if (m.is_negative())
+ throw std::domain_error("modinv: modulus is negative");
+ if (!m)
+ throw std::domain_error("modinv: modulus is zero");
+
+ // if the modulus is odd we can use a faster routine
+ if (m.is_odd())
+ odd_modinv(z, x, m);
+ else
+ even_modinv(z, x, m);
+}
+// HAC 14.61, pp608
+template<class ApInt>
+void
+modular_inverter<ApInt>::even_modinv(ApInt& z, const ApInt& x, const ApInt& m)
+{
assert(m.is_even());
- static const char* const err_msg = "mp_int::modinv: inverse does not exist";
+ static const char* const err_msg = "modinv: inverse does not exist";
+
+ const ApInt y = x % m;
- const mp_int<A1,T> x = z % m;
-
- if (x.is_even())
+ if (y.is_even())
throw std::domain_error(err_msg);
- mp_int<A1,T> u(x);
- mp_int<A1,T> v(m);
- mp_int<A1,T> A = digit_type(1);
- mp_int<A1,T> B = digit_type(0);
- mp_int<A1,T> C = digit_type(0);
- mp_int<A1,T> D = digit_type(1);
+ ApInt u(y);
+ ApInt v(m);
+ ApInt A = digit_type(1);
+ ApInt B = digit_type(0);
+ ApInt C = digit_type(0);
+ ApInt D = digit_type(1);
top:
while (u.is_even())
{
- u.divide_by_2();
-
+ base_divider_type::divide_by_2(u);
+
if (A.is_odd() || B.is_odd())
{
- // A = (A+m)/2, B = (B-x)/2
A += m;
- B -= x;
+ B -= y;
}
- A.divide_by_2();
- B.divide_by_2();
+ base_divider_type::divide_by_2(A);
+ base_divider_type::divide_by_2(B);
}
while (v.is_even())
{
- v.divide_by_2();
+ base_divider_type::divide_by_2(v);
if (C.is_odd() || D.is_odd())
{
- // C = (C+m)/2, D = (D-x)/2
C += m;
- D -= x;
+ D -= y;
}
- C.divide_by_2();
- D.divide_by_2();
+ base_divider_type::divide_by_2(C);
+ base_divider_type::divide_by_2(D);
}
if (u >= v)
@@ -87,66 +118,64 @@
throw std::domain_error(err_msg);
// if it's too low
- while (C.compare_to_digit(0) == -1)
+ while (C.is_negative())
C += m;
-
+
// too big
- while (C.compare_magnitude(m) != -1)
+ while (compare_magnitude(C, m) != -1)
C -= m;
-
- return C;
+
+ swap(z, C);
}
-/* computes the modular inverse via binary extended euclidean algorithm,
- * that is z = 1 / z mod m
- *
- * Based on even modinv except this is optimized for the case where m is
- * odd as per HAC Note 14.64 on pp. 610
- */
-template<class A1, class T>
-mp_int<A1,T> odd_modinv(const mp_int<A1,T>& z, const mp_int<A1,T>& m)
+// computes the modular inverse via binary extended euclidean algorithm,
+// that is z = 1 / z mod m
+//
+// Based on even modinv except this is optimized for the case where m is
+// odd as per HAC Note 14.64 on pp. 610
+template<class ApInt>
+void
+modular_inverter<ApInt>::odd_modinv(ApInt& z, const ApInt& x, const ApInt& m)
{
- typedef typename mp_int<A1,T>::digit_type digit_type;
-
assert(m.is_odd());
// m == modulus, y == value to invert
// we need y = |a|
- const mp_int<A1,T> y = z % m;
+ const ApInt y = x % m;
- mp_int<A1,T> u(m);
- mp_int<A1,T> v(y);
- mp_int<A1,T> A = digit_type(1);
- mp_int<A1,T> B = digit_type(0);
- mp_int<A1,T> C = digit_type(0);
- mp_int<A1,T> D = digit_type(1);
+ ApInt u(m);
+ ApInt v(y);
+ ApInt A = digit_type(1);
+ ApInt B = digit_type(0);
+ ApInt C = digit_type(0);
+ ApInt D = digit_type(1);
top:
while (u.is_even())
{
- u.divide_by_2();
-
+ base_divider_type::divide_by_2(u);
+
if (B.is_odd())
B -= m;
-
- B.divide_by_2();
+
+ base_divider_type::divide_by_2(B);
}
while (v.is_even())
{
- v.divide_by_2();
+ base_divider_type::divide_by_2(v);
if (D.is_odd())
- D -= m;
+ D -= m;
- D.divide_by_2();
+ base_divider_type::divide_by_2(D);
}
if (u >= v)
{
- /* u = u - v, B = B - D */
+ // u = u - v, B = B - D
u -= v;
- B -=D;
+ B -= D;
}
else
{
@@ -157,15 +186,15 @@
if (u)
goto top;
- /* now a = C, m = D, gcd == g*v */
+ // now a = C, m = D, gcd == g*v
if (v != digit_type(1))
- throw std::domain_error("mp_int::modinv: inverse does not exist");
+ throw std::domain_error("modinv: inverse does not exist");
while (D.is_negative())
D += m;
- return D;
+ swap(z, D);
}
Modified: sandbox/mp_math/boost/mp_math/integer/detail/modpow.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/modpow.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/modpow.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,31 +1,289 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_MODPOW_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_MODPOW_HPP
-#ifndef BOOST_MP_MATH_MP_INT_DETAIL_MODPOW_HPP
-#define BOOST_MP_MATH_MP_INT_DETAIL_MODPOW_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-#include <boost/mp_math/mp_int/detail/modular_reduction.hpp>
+#include <boost/mp_math/integer/detail/modular_reduction.hpp>
namespace boost {
namespace mp_math {
namespace detail {
-template<class A, class T>
-mp_int<A,T> barret_modpow(const mp_int<A,T>& base,
- const mp_int<A,T>& exp,
- const mp_int<A,T>& m,
- int redmode,
- mp_int<A,T>& mu)
+// modpow_ctx allows us to precalculate and store certain values so that modpow
+// calls with the same modulus are sped up. We should probably store a pointer
+// value to the original modulus value here and then assert that we are handed
+// the same modulus in subsequent invocations.
+
+template<class ApInt>
+struct modpow_ctx
+{
+ typedef typename ApInt::digit_type digit_type;
+ typedef typename ApInt::size_type size_type;
+ typedef typename ApInt::traits_type traits_type;
+
+ // dr means diminished radix
+ enum modulus_type_t
+ { // R is our radix
+ mod_restricted_dr, // m = R^k - d; d <= R
+ mod_unrestricted_dr, // m = 2^k - d; d <= R
+ mod_unrestricted_dr_slow, // m = 2^k - d; d < d^(k/2)
+ mod_odd,
+ mod_generic
+ }modulus_type;
+
+ modpow_ctx() : precalculated(false) {}
+
+ modulus_type_t do_detect(const ApInt& m) const;
+
+ void detect_modulus_type(const ApInt& m)
+ {
+ modulus_type = do_detect(m);
+ }
+
+ void precalculate(const ApInt& m);
+
+ ApInt mu;
+ digit_type rho;
+ bool precalculated;
+};
+
+
+template<class ApInt>
+typename modpow_ctx<ApInt>::modulus_type_t
+modpow_ctx<ApInt>::do_detect(const ApInt& m) const
{
- typedef typename mp_int<A,T>::size_type size_type;
- typedef typename mp_int<A,T>::size_type digit_type;
+ if (m.size() == 1)
+ return mod_unrestricted_dr;
+
+ size_type count = 0;
+
+ const size_type bits = m.precision() % traits_type::radix_bits;
- void (*redux)(mp_int<A,T>&, const mp_int<A,T>&, const mp_int<A,T>&);
+ if (!bits && m[m.size()-1] == traits_type::max_digit_value)
+ ++count;
+
+ for (typename ApInt::const_reverse_iterator d = m.rbegin() + 1;
+ d != m.rend(); ++d)
+ {
+ if (*d != traits_type::max_digit_value)
+ break;
+ else
+ ++count;
+ }
+
+ // if all bits are set
+ if (count == m.size() - 1)
+ return mod_restricted_dr;
+
+ // if all bits until the most significant digit are set
+ if (count == m.size() - 2)
+ {
+ bool all_bits_set = true;
+
+ // handle the remaining bits in the most significant digit
+ digit_type mask = 1;
+ for (size_type i = 0; i < bits; ++i)
+ {
+ if ((m[m.size()-1] & mask) == 0)
+ {
+ all_bits_set = false;
+ break;
+ }
+ mask <<= 1;
+ }
+ if (all_bits_set)
+ return mod_unrestricted_dr;
+ }
+
+ // if more than half of the bits are set
+ if (count >= m.size() / 2)
+ return mod_unrestricted_dr_slow;
+
+ if (m.is_odd())
+ return mod_odd;
+
+ return mod_generic;
+}
+
+template<class ApInt>
+void modpow_ctx<ApInt>::precalculate(const ApInt& m)
+{
+ switch (modulus_type)
+ {
+ case mod_restricted_dr:
+ {
+ rho = traits_type::max_digit_value - m[0] + 1U;
+ break;
+ }
+ case mod_unrestricted_dr:
+ {
+ const size_type p = m.precision();
+
+ ApInt tmp;
+ power<ApInt>::pow2(tmp, p);
+ base::adder<ApInt>::subtract_smaller_magnitude(tmp, m);
+
+ rho = tmp[0];
+ break;
+ }
+ case mod_unrestricted_dr_slow:
+ {
+ ApInt tmp;
+
+ power<ApInt>::pow2(tmp, m.precision());
+ mu = tmp - m;
+ break;
+ }
+ case mod_odd:
+ {
+ assert(m.is_odd());
+
+ // fast inversion mod 2**k
+ //
+ // Based on the fact that
+ //
+ // XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n)
+ // => 2*X*A - X*X*A*A = 1
+ // => 2*(1) - (1) = 1
+ const digit_type b = m[0];
+
+ static const size_type S = std::numeric_limits<digit_type>::digits;
+
+ digit_type x = (((b + 2) & 4) << 1) + b; // here x*a==1 mod 2**4
+ x *= 2 - b * x; // here x*a==1 mod 2**8
+ if (S != 8)
+ x *= 2 - b * x; // here x*a==1 mod 2**16
+ if (S == 64 || !(S == 8 || S == 16))
+ x *= 2 - b * x; // here x*a==1 mod 2**32
+ if (S == 64)
+ x *= 2 - b * x; // here x*a==1 mod 2**64
+
+ // rho = -1/m mod b
+ rho = traits_type::max_digit_value - x + 1U;
+ break;
+ }
+ case mod_generic:
+ {
+ // mu = b^2k/m
+ power<ApInt>::pow2(mu, m.size() * 2 * traits_type::digit_bits);
+ mu /= m;
+ break;
+ }
+ }
+
+ precalculated = true;
+}
+
+
+template<class ApInt>
+struct modular_power
+{
+ typedef typename ApInt::size_type size_type;
+ typedef typename ApInt::digit_type digit_type;
+ typedef typename ApInt::traits_type traits_type;
+
+ // computes z = base^exp % m
+ static void modpow(ApInt& z,
+ const ApInt& base,
+ const ApInt& exp,
+ const ApInt& m,
+ modpow_ctx<ApInt>* ctx);
+
+ static void modpow_with_ctx(ApInt& z,
+ const ApInt& base,
+ const ApInt& exp,
+ const ApInt& m,
+ const modpow_ctx<ApInt>& ctx);
+
+ static void barret_modpow(ApInt& z,
+ const ApInt& base,
+ const ApInt& exp,
+ const ApInt& m,
+ int redmode,
+ const ApInt& mu);
+
+ static void montgomery_modpow(ApInt& z,
+ const ApInt& base,
+ const ApInt& exp,
+ const ApInt& m,
+ int redmode,
+ digit_type mp);
+};
+
+
+template<class ApInt>
+void modular_power<ApInt>::modpow(ApInt& z,
+ const ApInt& base,
+ const ApInt& exp,
+ const ApInt& mod,
+ modpow_ctx<ApInt>* ctx = 0)
+{
+ if (mod.is_negative())
+ throw std::domain_error("modpow: modulus must be positive");
+
+ if (exp.is_negative())
+ {
+ //modpow(z, modinv(base, mod), abs(exp), mod, ctx);
+ return;
+ }
+
+ if (!ctx)
+ {
+ modpow_ctx<ApInt> tmp_ctx;
+ tmp_ctx.detect_modulus_type(mod);
+ tmp_ctx.precalculate(mod);
+ modpow_with_ctx(z, base, exp, mod, tmp_ctx);
+ }
+ else
+ {
+ if (!ctx->precalculated)
+ {
+ ctx->detect_modulus_type(mod);
+ ctx->precalculate(mod);
+ }
+ modpow_with_ctx(z, base, exp, mod, *ctx);
+ }
+}
+
+template<class ApInt>
+void modular_power<ApInt>::modpow_with_ctx(ApInt& z,
+ const ApInt& base,
+ const ApInt& exp,
+ const ApInt& mod,
+ const modpow_ctx<ApInt>& ctx)
+{
+ typedef modpow_ctx<ApInt> ctx_t;
+
+ switch (ctx.modulus_type)
+ {
+ case ctx_t::mod_restricted_dr:
+ montgomery_modpow(z, base, exp, mod, 1, ctx.rho); break;
+ case ctx_t::mod_unrestricted_dr:
+ montgomery_modpow(z, base, exp, mod, 2, ctx.rho); break;
+ case ctx_t::mod_unrestricted_dr_slow:
+ barret_modpow (z, base, exp, mod, 1, ctx.mu); break;
+ case ctx_t::mod_odd:
+ montgomery_modpow(z, base, exp, mod, 0, ctx.rho); break;
+ case ctx_t::mod_generic:
+ default:
+ barret_modpow (z, base, exp, mod, 0, ctx.mu); break;
+ }
+}
+
+template<class ApInt>
+void modular_power<ApInt>::barret_modpow(ApInt& z,
+ const ApInt& base,
+ const ApInt& exp,
+ const ApInt& m,
+ int redmode,
+ const ApInt& mu)
+{
+ void (*redux)(ApInt&, const ApInt&, const ApInt&);
// find window size
const size_type x = exp.precision();
@@ -46,13 +304,13 @@
winsize = 8;
if (redmode == 0)
- redux = &barrett_reduce;
+ redux = &modular_reducer<ApInt>::barrett_reduce;
else
- redux = &unrestricted_dr_slow_reduce;
+ redux = &modular_reducer<ApInt>::unrestricted_dr_slow_reduce;
// The M table contains powers of the base, e.g. M[i] = base**i % m
// The first half of the table is not computed though except for M[0] and M[1]
- mp_int<A,T> M[256];
+ ApInt M[256];
M[1] = base % m;
// compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times
@@ -61,7 +319,7 @@
for (size_type i = 0; i < (winsize - 1); ++i)
{
const size_type offset = 1 << (winsize - 1);
- M[offset].sqr();
+ multiplier<ApInt>::sqr(M[offset]);
// reduce modulo m
(*redux)(M[offset], m, mu);
}
@@ -77,12 +335,12 @@
}
// setup result
- mp_int<A,T> res = digit_type(1);
+ z = digit_type(1);
int mode = 0;
int bitcnt = 1;
digit_type buf = 0;
- typename mp_int<A,T>::const_reverse_iterator exp_digit = exp.rbegin();
+ typename ApInt::const_reverse_iterator exp_digit = exp.rbegin();
size_type bitcpy = 0;
int bitbuf = 0;
@@ -93,14 +351,14 @@
{
if (exp_digit == exp.rend())
break;
-
+
// read next digit and reset the bitcnt
buf = *exp_digit++;
- bitcnt = mp_int<A,T>::valid_bits;
+ bitcnt = traits_type::radix_bits;
}
// grab the next msb from the exponent
- int y = (buf >> static_cast<digit_type>(mp_int<A,T>::valid_bits - 1)) & 1;
+ int y = (buf >> static_cast<digit_type>(traits_type::radix_bits - 1)) & 1;
buf <<= digit_type(1);
// if the bit is zero and mode == 0 then we ignore it
@@ -113,8 +371,8 @@
// if the bit is zero and mode == 1 then we square
if (mode == 1 && y == 0)
{
- res.sqr();
- (*redux)(res, m, mu);
+ multiplier<ApInt>::sqr(z);
+ (*redux)(z, m, mu);
continue;
}
@@ -128,13 +386,13 @@
// square first
for (size_type i = 0; i < winsize; ++i)
{
- res.sqr();
- (*redux)(res, m, mu);
+ multiplier<ApInt>::sqr(z);
+ (*redux)(z, m, mu);
}
// then multiply
- res *= M[bitbuf];
- (*redux)(res, m, mu);
+ z *= M[bitbuf];
+ (*redux)(z, m, mu);
// empty window and reset
bitcpy = 0;
@@ -149,40 +407,35 @@
// square then multiply if the bit is set
for (size_type i = 0; i < bitcpy; ++i)
{
- res.sqr();
- (*redux)(res, m, mu);
+ multiplier<ApInt>::sqr(z);
+ (*redux)(z, m, mu);
bitbuf <<= 1;
if ((bitbuf & (1 << winsize)) != 0)
{
- res *= M[1];
- (*redux)(res, m, mu);
+ z *= M[1];
+ (*redux)(z, m, mu);
}
}
}
-
- return res;
}
-/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85
- *
- * Uses a left-to-right k-ary sliding window to compute the modular exponentiation.
- * The value of k changes based on the size of the exponent.
- *
- * Uses Montgomery or Diminished Radix reduction [whichever appropriate]
- */
-template<class A, class T>
-mp_int<A,T> montgomery_modpow(const mp_int<A,T>& base,
- const mp_int<A,T>& exp,
- const mp_int<A,T>& m,
- int redmode,
- typename mp_int<A,T>::digit_type mp)
+// computes Y == G**X mod P, HAC pp.616, Algorithm 14.85
+//
+// Uses a left-to-right k-ary sliding window to compute the modular exponentiation.
+// The value of k changes based on the size of the exponent.
+//
+// Uses Montgomery or Diminished Radix reduction [whichever appropriate]
+template<class ApInt>
+void modular_power<ApInt>::montgomery_modpow(ApInt& z,
+ const ApInt& base,
+ const ApInt& exp,
+ const ApInt& m,
+ int redmode,
+ digit_type mp)
{
- typedef typename mp_int<A,T>::size_type size_type;
- typedef typename mp_int<A,T>::digit_type digit_type;
+ void (*redux)(ApInt&, const ApInt&, digit_type);
- void (*redux)(mp_int<A,T>&, const mp_int<A,T>&, digit_type);
-
// find window size
const size_type x = exp.precision();
size_type winsize;
@@ -200,32 +453,28 @@
winsize = 7;
else
winsize = 8;
-
- //digit_type mp = ctx->mp;
-
+
if (redmode == 0)
- redux = &montgomery_reduce;
+ redux = &modular_reducer<ApInt>::montgomery_reduce;
else if (redmode == 1)
- redux = &restricted_dr_reduce;
+ redux = &modular_reducer<ApInt>::restricted_dr_reduce;
else
- redux = &unrestricted_dr_reduce;
-
- mp_int<A,T> res;
+ redux = &modular_reducer<ApInt>::unrestricted_dr_reduce;
// create M table
// The first half of the table is not computed though except for M[0] and M[1]
- mp_int<A,T> M[256];
-
+ ApInt M[256];
+
if (redmode == 0)
{
// now we need R mod m
- montgomery_normalize(res, m);
+ modular_reducer<ApInt>::montgomery_normalize(z, m);
// now set M[1] to G * R mod m
- M[1] = (base * res) % m;
+ M[1] = (base * z) % m;
}
else
{
- res = digit_type(1);
+ z = digit_type(1);
M[1] = base % m;
}
@@ -235,7 +484,7 @@
for (size_type i = 0; i < (winsize - 1); ++i)
{
const size_type offset = 1 << (winsize - 1);
- M[offset].sqr();
+ multiplier<ApInt>::sqr(M[offset]);
(*redux)(M[offset], m, mp);
}
@@ -243,15 +492,15 @@
for (size_type i = (1 << (winsize - 1)) + 1;
i < (size_type(1) << winsize); ++i)
{
- M[i] = M[i-1] * M[1];
+ multiplier<ApInt>::mul(M[i], M[i-1], M[1]);
(*redux)(M[i], m, mp);
}
- /* set initial mode and bit cnt */
+ // set initial mode and bit cnt
int mode = 0;
int bitcnt = 1;
digit_type buf = 0;
- typename mp_int<A,T>::const_reverse_iterator exp_digit = exp.rbegin();
+ typename ApInt::const_reverse_iterator exp_digit = exp.rbegin();
size_type bitcpy = 0;
unsigned int bitbuf = 0;
@@ -264,11 +513,11 @@
break;
// read next digit and reset bitcnt
buf = *exp_digit++;
- bitcnt = mp_int<A,T>::valid_bits;
+ bitcnt = traits_type::radix_bits;
}
// grab the next msb from the exponent
- int y = (buf >> (mp_int<A,T>::valid_bits - 1)) & 1;
+ int y = (buf >> (traits_type::radix_bits - 1)) & 1;
buf <<= digit_type(1);
// if the bit is zero and mode == 0 then we ignore it
@@ -281,8 +530,8 @@
// if the bit is zero and mode == 1 then we square
if (mode == 1 && y == 0)
{
- res.sqr();
- (*redux)(res, m, mp);
+ multiplier<ApInt>::sqr(z);
+ (*redux)(z, m, mp);
continue;
}
@@ -293,16 +542,14 @@
if (bitcpy == winsize)
{
// ok window is filled so square as required and multiply
- // square first
for (size_type i = 0; i < winsize; ++i)
{
- res.sqr();
- (*redux)(res, m, mp);
+ multiplier<ApInt>::sqr(z);
+ (*redux)(z, m, mp);
}
- // then multiply
- res *= M[bitbuf];
- (*redux)(res, m, mp);
+ z *= M[bitbuf];
+ (*redux)(z, m, mp);
// empty window and reset
bitcpy = 0;
@@ -314,19 +561,17 @@
// if bits remain then square/multiply
if (mode == 2 && bitcpy > 0)
{
- // square then multiply if the bit is set
for (size_type i = 0; i < bitcpy; ++i)
{
- res.sqr();
- (*redux)(res, m, mp);
+ multiplier<ApInt>::sqr(z);
+ (*redux)(z, m, mp);
// get next bit of the window
bitbuf <<= 1;
if ((bitbuf & (1 << winsize)) != 0)
{
- // then multiply
- res *= M[1];
- (*redux)(res, m, mp);
+ z *= M[1];
+ (*redux)(z, m, mp);
}
}
}
@@ -335,9 +580,7 @@
// Montgomery system is actually multiplied by R mod n. So we have to reduce
// one more time to cancel out the factor of R.
if (redmode == 0)
- (*redux)(res, m, mp);
-
- return res;
+ (*redux)(z, m, mp);
}
Modified: sandbox/mp_math/boost/mp_math/integer/detail/modular_reduction.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/modular_reduction.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/modular_reduction.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,76 +1,108 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_DETAIL_MODULAR_REDUCTION_HPP
-#define BOOST_MP_MATH_MP_INT_DETAIL_MODULAR_REDUCTION_HPP
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_MODULAR_REDUCTION_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_MODULAR_REDUCTION_HPP
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
+#include <boost/mp_math/integer/detail/adder.hpp>
+#include <boost/mp_math/integer/detail/multiplier.hpp>
+#include <boost/mp_math/integer/detail/power.hpp>
+#include <boost/mp_math/integer/detail/shifter.hpp>
namespace boost {
namespace mp_math {
namespace detail {
-// reduces x mod m, assumes 0 < x < m**2, mu is precomputed.
-// From HAC pp.604 Algorithm 14.42
-template<class A, class T>
-void barrett_reduce(mp_int<A,T>& x, const mp_int<A,T>& m, const mp_int<A,T>& mu)
+template<class ApInt>
+int compare_magnitude(const ApInt& lhs, const ApInt& rhs)
+{
+ return ApInt::traits_type::ops_type::compare_magnitude(
+ lhs.digits(), lhs.size(), rhs.digits(), rhs.size());
+}
+
+
+template<class ApInt>
+struct modular_reducer
{
- typedef typename mp_int<A,T>::digit_type digit_type;
+ typedef typename ApInt::digit_type digit_type;
+ typedef typename ApInt::size_type size_type;
+ typedef typename ApInt::traits_type traits_type;
+ typedef typename traits_type::ops_type ops_type;
+
+ static void barrett_reduce (ApInt& z, const ApInt& m, const ApInt& mu);
+ static void montgomery_reduce (ApInt& z, const ApInt& m, digit_type rho);
+ static void montgomery_normalize (ApInt& z, const ApInt& n);
+ static void restricted_dr_reduce (ApInt& z, const ApInt& n, digit_type k);
+ static void unrestricted_dr_reduce(ApInt& z, const ApInt& n, digit_type d);
+ static void unrestricted_dr_slow_reduce(ApInt& z, const ApInt& n, const ApInt& d);
+};
+
- const typename mp_int<A,T>::size_type k = m.size();
+// reduces x mod m, assumes 0 < x < m^2, mu is precomputed.
+// From HAC pp.604 Algorithm 14.42
+template<class ApInt>
+void modular_reducer<ApInt>::
+barrett_reduce(ApInt& x, const ApInt& m, const ApInt& mu)
+{
+ size_type k = m.size();
- mp_int<A,T> q(x);
+ ApInt q(x);
- // q = x / base**(k-1)
- q.shift_digits_right(k - 1);
+ // q = x / radix^(k-1)
+ shifter<ApInt>::shift_digits_right(q, k-1);
// according to HAC this optimization is ok
- if (k > digit_type(1) << (mp_int<A,T>::valid_bits - 1))
+ if (k > digit_type(1) << (traits_type::radix_bits - 1))
q *= mu;
else
- q.fast_mul_high_digits(mu, k);
+ {
+ //q.fast_mul_high_digits(mu, k);
+ ApInt tmp; tmp.reserve(k);
+ ops_type::comba_mul_hi(tmp.digits(), q.digits(), q.size(),
+ m.digits(), m.size(), k);
+ swap(tmp, q);
+ }
- // q = q / base**(k+1)
- q.shift_digits_right(k + 1);
+ // q = q / radix^(k+1)
+ shifter<ApInt>::shift_digits_right(q, k+1);
- // r = x mod base**(k+1)
- x.modulo_2_to_the_power_of(mp_int<A,T>::valid_bits * (k + 1));
+ // r = x mod radix^(k+1)
+ base::divider<ApInt>::modulo_pow2(x, traits_type::radix_bits * (k + 1));
- // q = q * m mod base**(k+1)
- q.mul_digits(m, k + 1);
+ // q = q * m mod radix^(k+1)
+ //q.mul_digits(m, k + 1);
+ ApInt tmp; tmp.reserve(k + 1);
+ ops_type::comba_mul_lo(tmp.digits(), q.digits(), q.size(),
+ m.digits(), m.size(), k + 1);
+ swap(tmp, q);
x -= q;
- // If x < 0, add base**(k+1) to it
+ // if x < 0, add radix^(k+1) to it
if (x.is_negative())
{
q = digit_type(1);
- q.shift_digits_left(k + 1);
+ shifter<ApInt>::shift_digits_left(q, k+1);
x += q;
}
while (x >= m)
- x.sub_smaller_magnitude(m);
+ base::adder<ApInt>::subtract_smaller_magnitude(x, m);
}
-/* computes xR**-1 == x (mod m) via Montgomery Reduction */
-template<class A, class T>
-void montgomery_reduce(mp_int<A,T>& x,
- const mp_int<A,T>& m,
- typename mp_int<A,T>::digit_type rho)
+// computes xR^-1 == x (mod m) via Montgomery Reduction
+template<class ApInt>
+void modular_reducer<ApInt>::
+montgomery_reduce(ApInt& x, const ApInt& m, digit_type rho)
{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::word_type word_type;
- typedef typename mp_int<A,T>::size_type size_type;
- typedef typename mp_int<A,T>::iterator iterator;
- typedef typename mp_int<A,T>::const_iterator const_iterator;
-
const size_type num = m.size() * 2 + 1;
- x.grow_capacity(num);
- std::memset(x.digits() + x.size(), 0, (x.capacity() - x.size()) * sizeof(digit_type));
+ x.reserve(num);
+ std::memset(x.digits() + x.size(), 0,
+ (x.capacity() - x.size()) * sizeof(digit_type));
x.set_size(num);
for (size_type i = 0; i < m.size(); ++i)
@@ -80,62 +112,59 @@
// this allows multiply_add_digits to reduce the input one digit at a time.
const digit_type mu = x[i] * rho;
- // x = x + mu * m * base**i
-
+ // x = x + mu * m * base^i
+
digit_type carry =
- mp_int<A,T>::ops_type::multiply_add_digits(x.digits() + i,
- m.digits(),
- mu,
- x.digits() + i,
- m.size());
+ ops_type::multiply_add_digits(x.digits() + i,
+ m.digits(),
+ mu,
+ m.size());
// At this point the i'th digit of x should be zero
- mp_int<A,T>::ops_type::ripple_carry(x.digits() + i + m.size(),
- x.digits() + i + m.size(),
- num,
- carry);
+ ops_type::ripple_carry(x.digits() + i + m.size(),
+ x.digits() + i + m.size(), num, carry);
}
- // at this point the m.size least significant digits of x are all zero which
- // means we can shift x to the right by m.size digits and the residue is
- // unchanged.
-
- // x = x/base**m.size()
x.clamp();
if (!x)
- x.set_sign(1);
+ x.set_sign_bit(0);
- x.shift_digits_right(m.size());
+ // at this point the m.size least significant digits of x are all zero which
+ // means we can shift x to the right by m.size digits and the residue is
+ // unchanged.
- if (x.compare_magnitude(m) != -1)
- x.sub_smaller_magnitude(m);
+ // x = x/radix^m.size()
+ shifter<ApInt>::shift_digits_right(x, m.size());
+
+ if (compare_magnitude(x, m) != -1)
+ base::adder<ApInt>::subtract_smaller_magnitude(x, m);
}
// shifts with subtractions when the result is greater than n.
// The method is slightly modified to shift B unconditionally upto just under
// the leading bit of n. This saves alot of multiple precision shifting.
-template<class A, class T>
-void montgomery_normalize(mp_int<A,T>& x, const mp_int<A,T>& n)
+template<class ApInt>
+void modular_reducer<ApInt>::montgomery_normalize(ApInt& x, const ApInt& n)
{
// how many bits of last digit does n use
- typename mp_int<A,T>::size_type bits = n.precision() % mp_int<A,T>::valid_bits;
+ size_type bits = n.precision() % traits_type::radix_bits;
if (n.size() > 1)
- x.pow2((n.size() - 1) * mp_int<A,T>::valid_bits + bits - 1);
+ power<ApInt>::pow2(x, (n.size() - 1) * traits_type::radix_bits + bits - 1);
else
{
- x = typename mp_int<A,T>::digit_type(1);
+ x = digit_type(1);
bits = 1;
}
// now compute C = A * B mod n
- for (int i = bits - 1; i < mp_int<A,T>::valid_bits; ++i)
+ for (size_type i = bits; i <= traits_type::radix_bits; ++i)
{
- x.multiply_by_2();
- if (x.compare_magnitude(n) != -1)
- x.sub_smaller_magnitude(n);
+ multiplier<ApInt>::multiply_by_2(x);
+ if (compare_magnitude(x, n) != -1)
+ base::adder<ApInt>::subtract_smaller_magnitude(x, n);
}
}
@@ -151,36 +180,23 @@
// Has been modified to use algorithm 7.10 from the LTM book instead
//
// Input x must be in the range 0 <= x <= (n-1)**2
-template<class A, class T>
-void restricted_dr_reduce(mp_int<A,T>& x,
- const mp_int<A,T>& n,
- typename mp_int<A,T>::digit_type k)
+template<class ApInt>
+void modular_reducer<ApInt>::
+restricted_dr_reduce(ApInt& x, const ApInt& n, digit_type k)
{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::word_type word_type;
- typedef typename mp_int<A,T>::size_type size_type;
- typedef typename mp_int<A,T>::iterator iterator;
+ typedef typename ApInt::digit_type digit_type;
+ typedef typename ApInt::size_type size_type;
+ typedef typename ApInt::iterator iterator;
const size_type m = n.size();
- x.grow_capacity(m + m);
+ x.reserve(m + m);
std::memset(x.digits() + x.size(), 0, (m + m - x.size()) * sizeof(digit_type));
top:
- // set carry to zero
- digit_type mu = 0;
-
- // compute (r mod B**m) + k * [r/B**m] inline and inplace
- for (iterator d = x.begin(); d != x.begin() + m; ++d)
- {
- const word_type r = static_cast<word_type>(*(d + m))
- * static_cast<word_type>(k) + *d + mu;
- *d = static_cast<digit_type>(r);
- mu = static_cast<digit_type>(r >> static_cast<word_type>(mp_int<A,T>::digit_bits));
- }
- // set final carry
- x[m] = mu;
+ // compute (r mod B**m) + k * [r/B**m]
+ x[m] = ops_type::multiply_add_digits(x.digits(), x.digits() + m, k, m);
// zero words above m
if (x.size() > m + 1) // guard against overflow
@@ -189,70 +205,69 @@
x.clamp();
if (!x)
- x.set_sign(1);
+ x.set_sign_bit(0);
- if (x.compare_magnitude(n) != -1)
+ if (compare_magnitude(x, n) != -1)
{
- x.sub_smaller_magnitude(n);
+ base::adder<ApInt>::subtract_smaller_magnitude(x, n);
goto top;
}
}
-// reduces x modulo n where n is of the form 2**p - d
-template<class A, class T>
-void unrestricted_dr_reduce(mp_int<A,T>& x,
- const mp_int<A,T>& n,
- typename mp_int<A,T>::digit_type d)
+// reduces x modulo n where n is of the form 2^p - d
+template<class ApInt>
+void modular_reducer<ApInt>::
+unrestricted_dr_reduce(ApInt& x, const ApInt& n, digit_type d)
{
- const typename mp_int<A,T>::size_type p = n.precision();
+ const size_type p = n.precision();
top:
- mp_int<A,T> q(x);
-
- /* q = a/2**p, r = r mod 2**p */
- q.shift_right(p, &x);
-
- if (d != 1)
- q.multiply_by_digit(d);
-
- x.add_magnitude(q);
+ ApInt q(x);
+
+ // q = x/2^p, x = x % 2^p
+ shifter<ApInt>::shift_bits_right(q, x, p);
+
+ q *= d;
- if (x.compare_magnitude(n) != -1)
+ adder<ApInt>::add_magnitude(x, q);
+
+ if (compare_magnitude(x, n) != -1)
{
- x.sub_smaller_magnitude(n);
+ base::adder<ApInt>::subtract_smaller_magnitude(x, n);
goto top;
}
}
-// reduces x modulo n where n is of the form 2**p - d. This differs from
+// reduces x modulo n where n is of the form 2^p - d. This differs from
// unrestricted_dr_reduce since "d" can be larger than a single digit.
-template<class A, class T>
-void unrestricted_dr_slow_reduce(mp_int<A,T>& x,
- const mp_int<A,T>& n,
- const mp_int<A,T>& d)
+template<class ApInt>
+void modular_reducer<ApInt>::
+unrestricted_dr_slow_reduce(ApInt& x, const ApInt& n, const ApInt& d)
{
- const typename mp_int<A,T>::size_type p = n.precision();
+ const size_type p = n.precision();
top:
- mp_int<A,T> q(x);
+ ApInt q(x);
- // q = x/2**p, r = r mod 2**p
- q.shift_right(p, &x);
+ // q = x/2^p, x = x % 2^p
+ shifter<ApInt>::shift_bits_right(q, x, p);
q *= d;
- x.add_magnitude(q);
+ adder<ApInt>::add_magnitude(x, q);
- if (x.compare_magnitude(n) != -1)
+ if (compare_magnitude(x, n) != -1)
{
- x.sub_smaller_magnitude(n);
+ base::adder<ApInt>::subtract_smaller_magnitude(x, n);
goto top;
}
}
+
+
} // namespace detail
} // namespace mp_math
} // namespace boost
Copied: sandbox/mp_math/boost/mp_math/integer/detail/multiplier.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/mul.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/mul.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/multiplier.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,135 +1,339 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-// multiplies by a single digit
-template<class A, class T>
-void mp_int<A,T>::multiply_by_digit(digit_type x)
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_MULTIPLIER_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_MULTIPLIER_HPP
+
+#include <boost/mp_math/integer/detail/shifter.hpp>
+#include <boost/mp_math/integer/detail/base/adder.hpp>
+#include <boost/mp_math/integer/detail/base/divider.hpp>
+#include <boost/mp_math/integer/detail/base/multiplier.hpp>
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+
+template<
+ class ApInt,
+ bool IsSigned = ApInt::is_signed
+>
+struct multiplier;
+
+
+template<class ApInt>
+struct multiplier<ApInt, false>
{
- if (x == 0)
+ typedef ApInt int_type;
+ typedef typename int_type::traits_type traits_type;
+ typedef typename traits_type::ops_type ops_type;
+ typedef typename int_type::digit_type digit_type;
+ typedef typename int_type::size_type size_type;
+ typedef shifter<int_type> shifter_type;
+ typedef base::adder<int_type> base_adder_type;
+ typedef base::divider<int_type> base_divider_type;
+ typedef base::multiplier<int_type> base_multiplier_type;
+
+ static void multiply_or_square(ApInt& z, const ApInt& x);
+ static void multiply_or_square(ApInt& z, const ApInt& x, const ApInt& y);
+
+ static void mul (ApInt& z, const ApInt& x, const ApInt& y);
+ static void long_mul (ApInt& z, const ApInt& x, const ApInt& y);
+ static void comba_mul (ApInt& z, const ApInt& x, const ApInt& y);
+ static void karatsuba_mul(ApInt& z, const ApInt& x, const ApInt& y);
+ static void toom3_mul (ApInt& z, const ApInt& x, const ApInt& y);
+
+ static void multiply_by_2(ApInt& z);
+
+ static void sqr (ApInt& z);
+ static void sqr (ApInt& z, const ApInt& x);
+ static void comba_sqr (ApInt& z, const ApInt& x);
+ static void karatsuba_sqr(ApInt& z, const ApInt& x);
+ static void toom3_sqr (ApInt& z, const ApInt& x);
+
+private:
+
+/* static void long_or_comba_mul(ApInt& z, const ApInt& x, const ApInt& y,
+ bool_<false>)
{
- zero();
- return;
+ long_mul(z, x, y);
}
- else if (x == 1)
- return;
- // make sure we can hold the result
- grow_capacity(size_ + 1);
-
- const digit_type carry =
- ops_type::multiply_by_digit(digits(), digits(), size(), x);
+ static void long_or_comba_mul(ApInt& z, const ApInt& x, const ApInt& y,
+ bool_<true>)
+ {
+ comba_mul(z, x, y);
+ }*/
+};
- if (carry)
- push(carry);
+
+template<class ApInt>
+void multiplier<ApInt, false>::multiply_or_square(ApInt& z, const ApInt& x)
+{
+ if (&z == &x)
+ sqr(z);
+ else
+ mul(z, z, x);
}
-/* *this *= 2 */
-template<class A, class T>
-void mp_int<A,T>::multiply_by_2()
+template<class ApInt>
+void
+multiplier<ApInt, false>::
+multiply_or_square(ApInt& z, const ApInt& x, const ApInt& y)
{
- grow_capacity(size_ + 1);
+ if (&x == &y)
+ sqr(z, x);
+ else
+ mul(z, x, y);
+}
- const digit_type carry =
- ops_type::multiply_by_two(digits(), digits(), size());
+template<class ApInt>
+void multiplier<ApInt, false>::mul(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ // always multiply larger by smaller number
+ const ApInt* a = &x;
+ const ApInt* b = &y;
+ if (a->size() < b->size())
+ std::swap(a, b);
- if (carry)
- push(carry);
+ if (b->size() == 1U)
+ {
+ if ((*b)[0] == 0U)
+ {
+ z.reserve(1);
+ z[0] = 0;
+ z.set_size(1);
+ }
+ else if ((*b)[0] == 1U)
+ z = *a;
+ else
+ ApInt::template integral_ops<digit_type>::multiply(z, *a, (*b)[0]);
+
+ return;
+ }
+
+ if (b->size() < traits_type::karatsuba_mul_threshold)
+ comba_mul(z, *a, *b);
+ else if (b->size() < traits_type::toom_mul_threshold)
+ karatsuba_mul(z, *a, *b);
+ else
+ toom3_mul(z, *a, *b);
}
+template<class ApInt>
+inline
+void multiplier<ApInt, false>::
+long_mul(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ if ((&z != &x) && (&z != &y))
+ {
+ z.reserve(x.size() + y.size());
+ base_multiplier_type::long_mul(z, x, y);
+ }
+ else
+ {
+ ApInt tmp;
+ tmp.reserve(x.size() + y.size());
+ base_multiplier_type::long_mul(tmp, x, y);
+ swap(tmp, z);
+ }
+}
+
+template<class ApInt>
+inline
+void multiplier<ApInt, false>::
+comba_mul(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ if ((&z != &x) && (&z != &y))
+ {
+ z.reserve(x.size() + y.size());
+ base_multiplier_type::comba_mul(z, x, y);
+ }
+ else
+ {
+ ApInt tmp;
+ tmp.reserve(x.size() + y.size());
+ base_multiplier_type::comba_mul(tmp, x, y);
+ swap(tmp, z);
+ }
+}
+
+// Divide and conquer multiplication using the Karatsuba algorithm.
+//
+// Let B represent the radix [e.g. 2^radix_bits] and let n represent half of
+// the number of digits in min(a,b).
+//
+// a = x1 * B^n + x0
+// b = y1 * B^n + y0
+//
+// Then, a * b => x1y1 * B^2n + ((x1 + x0)(y1 + y0) - (x0y0 + x1y1)) * B + x0y0
+//
+// Note that x1y1 and x0y0 are used twice and only need to be computed once. So
+// in total three half size (half # of digits) multiplications are performed,
+// x0y0, x1y1 and (x1+y1)(x0+y0).
+//
+// Note that a multiplication of half the digits requires 1/4th the number of
+// single precision multiplications so in total after one call 25% of the single
+// precision multiplications are saved. Note also that the call to operator *
+// can end up back in this function if x0, x1, y0, or y1 are above the
+// threshold. This leads to O(N^lg(3)) or O(N^1.584) complexity. Generally
+// though the overhead of this method doesn't pay off until a certain size
+// (N ~ 80) is reached.
+template<class ApInt>
+void multiplier<ApInt, false>::
+karatsuba_mul(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ assert(x.size() >= y.size());
+
+ ApInt x0, x1, y0, y1, x0y0, x1y1;
+
+ // B is the point at which we split both numbers
+ const size_type B = y.size() / 2;
+
+ // allocate memory
+ x0.reserve(B);
+ x1.reserve(x.size() + y.size());
+ y0.reserve(B);
+ y1.reserve(y.size() - B + 1);
+
+ x0.set_size(B);
+ y0.set_size(B);
+ x1.set_size(x.size() - B);
+ y1.set_size(y.size() - B);
+
+ // copy digits over
+ static const size_type s = sizeof(digit_type);
+ std::memcpy(x0.digits(), x.digits(), s * B);
+ std::memcpy(y0.digits(), y.digits(), s * B);
+ std::memcpy(x1.digits(), x.digits() + B, s * (x.size() - B));
+ std::memcpy(y1.digits(), y.digits() + B, s * (y.size() - B));
+
+ x0.clamp();
+ y0.clamp();
+
+ // now evaluate the term
+ // x1y1 * B**2n + ((x1 + x0)(y1 + y0) - (x0y0 + x1y1)) * B + x0y0
+
+ mul(x0y0, x0, y0);
+ mul(x1y1, x1, y1);
+
+ // tmp = (x1 + x0) * (y1 + y0)
+ x1 += x0;
+ y1 += y0;
+ // we don't need a tmp just reuse x1
+ mul(x1, x1, y1);
+
+ // tmp -= (x0y0 + x1y1);
+ base_adder_type::subtract_smaller_magnitude(x1, x0y0);
+ base_adder_type::subtract_smaller_magnitude(x1, x1y1);
+
+ // shift by B
+ if (x1 != digit_type(0))
+ shifter_type::shift_digits_left(x1, B);
+ if (x1 != digit_type(0))
+ shifter_type::shift_digits_left(x1y1, B * 2);
+
+ x1y1 += x1;
+ x1y1 += x0y0;
+ z.swap(x1y1);
+}
-// multiplication using the Toom-Cook 3-way algorithm
+// multiplication using the Toom-Cook 3-way algorithm
//
-// Much more complicated than Karatsuba but has a lower
-// asymptotic running time of O(N**1.464). This algorithm is
-// only particularly useful on VERY large inputs
+// Much more complicated than Karatsuba but has a lower
+// asymptotic running time of O(N**1.464). This algorithm is
+// only particularly useful on VERY large inputs
// (we're talking 1000s of digits here...).
-template<class A, class T>
-void mp_int<A,T>::toom_cook_mul(const mp_int& b)
+template<class ApInt>
+void multiplier<ApInt, false>::
+toom3_mul(ApInt& z, const ApInt& x, const ApInt& y)
{
- const size_type B = std::min(size_, b.size_) / 3;
-
+ assert(x.size() >= y.size());
+
+ const size_type B = y.size() / 3;
+
// a = a2 * B**2 + a1 * B + a0
- mp_int a0(*this);
- a0.modulo_2_to_the_power_of(valid_bits * B);
- mp_int a1(*this);
- a1.shift_digits_right(B);
- a1.modulo_2_to_the_power_of(valid_bits * B);
- mp_int a2(*this);
- a2.shift_digits_right(B*2);
-
+ ApInt a0(x);
+ base_divider_type::modulo_pow2(a0, traits_type::radix_bits * B);
+ ApInt a1(x);
+ shifter_type::shift_digits_right(a1, B);
+ base_divider_type::modulo_pow2(a1, traits_type::radix_bits * B);
+ ApInt a2(x);
+ shifter_type::shift_digits_right(a2, B*2);
+
// b = b2 * B**2 + b1 * B + b0
- mp_int b0(b);
- b0.modulo_2_to_the_power_of(valid_bits * B);
- mp_int b1(b);
- b1.shift_digits_right(B);
- b1.modulo_2_to_the_power_of(valid_bits * B);
- mp_int b2(b);
- b2.shift_digits_right(B*2);
+ ApInt b0(y);
+ base_divider_type::modulo_pow2(b0, traits_type::radix_bits * B);
+ ApInt b1(y);
+ shifter_type::shift_digits_right(b1, B);
+ base_divider_type::modulo_pow2(b1, traits_type::radix_bits * B);
+ ApInt b2(y);
+ shifter_type::shift_digits_right(b2, B*2);
// w0 = a0*b0
- const mp_int w0(a0 * b0);
-
+ const ApInt w0(a0 * b0);
+
// w4 = a2 * b2
- mp_int w4 = a2 * b2;
-
+ ApInt w4 = a2 * b2;
+
// w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0))
- mp_int tmp1 = a0;
- tmp1.multiply_by_2();
+ ApInt tmp1 = a0;
+ multiply_by_2(tmp1);
tmp1 += a1;
- tmp1.multiply_by_2();
+ multiply_by_2(tmp1);
tmp1 += a2;
-
- mp_int tmp2 = b0;
- tmp2.multiply_by_2();
+
+ ApInt tmp2 = b0;
+ multiply_by_2(tmp2);
tmp2 += b1;
- tmp2.multiply_by_2();
+ multiply_by_2(tmp2);
tmp2 += b2;
- mp_int w1 = tmp1 * tmp2;
+ ApInt w1 = tmp1 * tmp2;
// w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2))
tmp1 = a2;
- tmp1.multiply_by_2();
+ multiply_by_2(tmp1);
tmp1 += a1;
- tmp1.multiply_by_2();
+ multiply_by_2(tmp1);
tmp1 += a0;
tmp2 = b2;
- tmp2.multiply_by_2();
+ multiply_by_2(tmp2);
tmp2 += b1;
- tmp2.multiply_by_2();
+ multiply_by_2(tmp2);
tmp2 += b0;
- mp_int w3 = tmp1 * tmp2;
+ ApInt w3 = tmp1 * tmp2;
// w2 = (a2 + a1 + a0)(b2 + b1 + b0)
tmp1 = a2 + a1;
tmp1 += a0;
tmp2 = b2 + b1;
tmp2 += b0;
- mp_int w2 = tmp1 * tmp2;
+ ApInt w2 = tmp1 * tmp2;
- // now solve the matrix
+ // now solve the matrix
//
// 0 0 0 0 1
// 1 2 4 8 16
// 1 1 1 1 1
// 16 8 4 2 1
// 1 0 0 0 0
- //
- // using 12 subtractions, 4 shifts,
- // 2 small divisions and 1 small multiplication
-
+ //
+ // using 12 subtractions, 4 shifts,
+ // 2 small divisions and 1 small multiplication
+
// r1 - r4
w1 -= w4;
// r3 - r0
w3 -= w0;
// r1/2
- w1.divide_by_2();
+ base_divider_type::divide_by_2(w1);
// r3/2
- w3.divide_by_2();
+ base_divider_type::divide_by_2(w3);
// r2 - r0 - r4
w2 -= w0;
w2 -= w4;
@@ -144,7 +348,7 @@
tmp1 = w4 << 3;
w3 -= tmp1;
// 3r2 - r1 - r3
- w2.multiply_by_digit(3);
+ w2 *= digit_type(3);
w2 -= w1;
w2 -= w3;
// r1 - r2
@@ -152,210 +356,403 @@
// r3 - r2
w3 -= w2;
// r1/3
- w1.divide_by_3();
+ base_divider_type::divide_by_3(w1);
// r3/3
- w3.divide_by_3();
+ base_divider_type::divide_by_3(w3);
// at this point shift W[n] by B*n
- w1.shift_digits_left(1*B);
- w2.shift_digits_left(2*B);
- w3.shift_digits_left(3*B);
- w4.shift_digits_left(4*B);
+ if (w1 != digit_type(0))
+ shifter_type::shift_digits_left(w1, 1 * B);
+ if (w2 != digit_type(0))
+ shifter_type::shift_digits_left(w2, 2 * B);
+ if (w3 != digit_type(0))
+ shifter_type::shift_digits_left(w3, 3 * B);
+ if (w4 != digit_type(0))
+ shifter_type::shift_digits_left(w4, 4 * B);
- *this = w0 + w1;
+ z = w0 + w1;
tmp1 = w2 + w3;
tmp1 += w4;
- *this += tmp1;
+ z += tmp1;
}
-// c = |a| * |b| using Karatsuba Multiplication using
-// three half size multiplications
-//
-// Let B represent the radix [e.g. 2**valid_bits] and
-// let n represent half of the number of digits in
-// the min(a,b)
-//
-// a = x1 * B**n + x0
-// b = y1 * B**n + y0
-//
-// Then, a * b =>
-// x1y1 * B**2n + ((x1 + x0)(y1 + y0) - (x0y0 + x1y1)) * B + x0y0
+template<class ApInt>
+void multiplier<ApInt, false>::multiply_by_2(ApInt& z)
+{
+ z.reserve(z.size() + 1);
+
+ const digit_type carry =
+ ops_type::multiply_by_two(z.digits(), z.digits(), z.size());
+
+ if (carry)
+ z.push(carry);
+}
+
+
+template<class ApInt>
+void multiplier<ApInt, false>::sqr(ApInt& z, const ApInt& x)
+{
+ if (x.size() < ApInt::traits_type::karatsuba_sqr_threshold)
+ comba_sqr(z, x);
+ else if (x.size() < ApInt::traits_type::toom_sqr_threshold)
+ karatsuba_sqr(z, x);
+ else
+ toom3_sqr(z, x);
+}
+
+template<class ApInt>
+void multiplier<ApInt, false>::sqr(ApInt& z)
+{
+ //TODO resurrect optimization here from mp_math_v04
+ // if (z.size() < 16)
+ // comba_sqr to digit array on stack then memcpy over to z;
+ // else
+ // ApInt tmp;
+ // sqr(tmp, z);
+ ApInt tmp;
+ sqr(tmp, z);
+ z.swap(tmp);
+}
+
+template<class ApInt>
+inline
+void multiplier<ApInt, false>::comba_sqr(ApInt& z, const ApInt& x)
+{
+ z.reserve(x.size() + x.size());
+ base_multiplier_type::comba_sqr(z, x);
+}
+
+// Karatsuba squaring, computes b = a*a using three half size squarings
//
-// Note that x1y1 and x0y0 are used twice and only need to be
-// computed once. So in total three half size (half # of
-// digit) multiplications are performed, x0y0, x1y1 and
-// (x1+y1)(x0+y0)
+// See comments of karatsuba_mul for details. It is essentially the same
+// algorithm but merely tuned to perform recursive squarings.
//
-// Note that a multiplication of half the digits requires
-// 1/4th the number of single precision multiplications so in
-// total after one call 25% of the single precision multiplications
-// are saved. Note also that the call to mp_mul can end up back
-// in this function if the x0, x1, y0, or y1 are above the threshold.
-// This is known as divide-and-conquer and leads to the famous
-// O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than
-// the standard O(N**2) that the baseline/comba methods use.
-// Generally though the overhead of this method doesn't pay off
-// until a certain size (N ~ 80) is reached.
-template<class A, class T>
-void mp_int<A,T>::karatsuba_mul(const mp_int& b)
+// a = x1 * B**n + x0
+// a**2 = x1x1 * B**2n + 2*x0x1 * B**n + x0x0
+// where
+// 2*x0x1 = 1) x1x1 + x0x0 - (x1 - x0)**2 or
+// 2) (x0 + x1)**2 - (x0x0 + x1x1)
+// we use version 1)
+// version 2) may use one less temporary?
+// a**2 = x1x1 * B**2n + (x1x1 + x0x0 - (x1 - x0)**2) * B**n + x0x0
+// TODO revert!
+template<class ApInt>
+void multiplier<ApInt, false>::karatsuba_sqr(ApInt& z, const ApInt& x)
{
- mp_int x0, x1, y0, y1, /*tmp,*/ x0y0, x1y1;
+ typedef typename ApInt::digit_type digit_type;
- // min # of digits
- const size_type B = std::min(size_, b.size_) / 2;
+ ApInt x0, x1, tmp, tmp2, x0x0, x1x1;
- // allocate memory
- x0.grow_capacity(B);
- x1.grow_capacity(size_ + b.size_);
- y0.grow_capacity(B);
- y1.grow_capacity(b.size_ - B + 1);
-
- // set size_ count
- x0.size_ = y0.size_ = B;
- x1.size_ = size_ - B;
- y1.size_ = b.size_ - B;
+ const typename ApInt::size_type B = x.size() / 2;
- // copy digits over
- static const size_type s = sizeof(digit_type);
- std::memcpy(x0.digits_, digits_, s * B);
- std::memcpy(y0.digits_, b.digits_, s * B);
- std::memcpy(x1.digits_, digits_ + B, s * ( size_ - B));
- std::memcpy(y1.digits_, b.digits_ + B, s * (b.size_ - B));
+ x0.reserve(B);
+ x1.reserve(x.size() - B);
+
+ x0x0.reserve(B * 2);
+ x1x1.reserve((x.size() - B) * 2);
+
+ // now shift the digits
+ std::memcpy(x0.digits(), x.digits(), B * sizeof(digit_type));
+ std::memcpy(x1.digits(), x.digits() + B, (x.size() - B) * sizeof(digit_type));
+
+ x0.set_size(B);
+ x1.set_size(x.size() - B);
+
+ x0.clamp();
+
+ sqr(x0x0, x0);
+ sqr(x1x1, x1);
+
+ tmp = x1x1;
+ tmp += x0x0;
+
+ tmp2 = x1;
+ tmp2 -= x0;
+ sqr(tmp2);
+
+ base_adder_type::subtract_smaller_magnitude(tmp, tmp2);
+
+ if (x1x1 != digit_type(0))
+ shifter_type::shift_digits_left(x1x1, B * 2);
+ if (tmp != digit_type(0))
+ shifter_type::shift_digits_left(tmp, B);
+
+ x1x1 += tmp;
+ x1x1 += x0x0;
+
+ z.swap(x1x1);
+}
+
+// squaring using Toom-Cook 3-way algorithm
+template<class ApInt>
+void multiplier<ApInt, false>::toom3_sqr(ApInt& z, const ApInt& x)
+{
+ ApInt w0, w1, w2, w3, w4, tmp1, a0, a1, a2;
+
+ const typename ApInt::size_type B = x.size() / 3;
+
+ /* a = a2 * B**2 + a1 * B + a0 */
+ a0 = x;
+ base_divider_type::modulo_pow2(a0, traits_type::radix_bits * B);
+
+ a1 = x;
+ shifter_type::shift_digits_right(a1, B);
+ base_divider_type::modulo_pow2(a1, traits_type::radix_bits * B);
+
+ a2 = x;
+ shifter_type::shift_digits_right(a2, B * 2);
+
+ /* w0 = a0*a0 */
+ w0 = a0;
+ sqr(w0);
+
+ /* w4 = a2 * a2 */
+ w4 = a2;
+ sqr(w4);
+
+ /* w1 = (a2 + 2(a1 + 2a0))**2 */
+ w1 = a0;
+ multiply_by_2(w1);
+ w1 += a1;
+ multiply_by_2(w1);
+ w1 += a2;
+ sqr(w1);
+
+ /* w3 = (a0 + 2(a1 + 2a2))**2 */
+ w3 = a2;
+ multiply_by_2(w3);
+ w3 += a1;
+ multiply_by_2(w3);
+ w3 += a0;
+ sqr(w3);
+
+ /* w2 = (a2 + a1 + a0)**2 */
+ w2 = a1 + a2;
+ w2 += a0;
+ sqr(w2);
+
+ /* now solve the matrix
+
+ 0 0 0 0 1
+ 1 2 4 8 16
+ 1 1 1 1 1
+ 16 8 4 2 1
+ 1 0 0 0 0
+
+ using 12 subtractions, 4 shifts, 2 small divisions and 1 small
+ multiplication.
+ */
+
+ /* r1 - r4 */
+ w1 -= w4;
+ /* r3 - r0 */
+ w3 -= w0;
+ /* r1/2 */
+ base_divider_type::divide_by_2(w1);
+ /* r3/2 */
+ base_divider_type::divide_by_2(w3);
+ /* r2 - r0 - r4 */
+ w2 -= w0;
+ w2 -= w4;
+ /* r1 - r2 */
+ w1 -= w2;
+ /* r3 - r2 */
+ w3 -= w2;
+ /* r1 - 8r0 */
+ tmp1 = w0;
+ tmp1 <<= 3;
+ w1 -= tmp1;
+ /* r3 - 8r4 */
+ tmp1 = w4;
+ tmp1 <<= 3;
+ w3 -= tmp1;
+ /* 3r2 - r1 - r3 */
+ w2 *= digit_type(3);
+ w2 -= w1;
+ w2 -= w3;
+ /* r1 - r2 */
+ w1 -= w2;
+ /* r3 - r2 */
+ w3 -= w2;
+ /* r1/3 */
+ base_divider_type::divide_by_3(w1);
+ /* r3/3 */
+ base_divider_type::divide_by_3(w3);
+ /* at this point shift W[n] by B*n */
+ if (w1 != digit_type(0))
+ shifter_type::shift_digits_left(w1, 1 * B);
+ if (w2 != digit_type(0))
+ shifter_type::shift_digits_left(w2, 2 * B);
+ if (w3 != digit_type(0))
+ shifter_type::shift_digits_left(w3, 3 * B);
+ if (w4 != digit_type(0))
+ shifter_type::shift_digits_left(w4, 4 * B);
+
+ z = w0 + w1;
+ tmp1 = w2 + w3;
+ tmp1 += w4;
+ z += tmp1;
+}
+
+/*template<typename D, typename W, typename S>
+void karatsuba_mul(mp_int_base<D,W,S>& z,
+ const mp_int_base<D,W,S>& x,
+ const mp_int_base<D,W,S>& y)
+{
+ typedef D digit_type;
+ typedef S size_type;
+
+ // B is the point at which we split both numbers
+ const size_type B = std::min(x.size(), y.size()) / 2;
+
+ mp_int_base_type x0(x.digits(), B, B);
+ mp_int_base_type y0(y.digits(), B, B);
+ mp_int_base_type x1(x.digits() + B, x.size() - B, x.size() - B);
+ mp_int_base_type y1(y.digits() + B, y.size() - B, y.size() - B);
- // only need to clamp the lower words since by definition the
- // upper words x1/y1 must have a known number of digits
x0.clamp();
y0.clamp();
// now evaluate the term
// x1y1 * B**2n + ((x1 + x0)(y1 + y0) - (x0y0 + x1y1)) * B + x0y0
-
- // first calc the products x0y0 and x1y1
- x0y0 = x0 * y0;
- x1y1 = x1 * y1;
- // tmp = (x1 + x0) * (y1 + y0)
- x1.add_magnitude(x0);
- y1.add_magnitude(y0);
- // we don't need a tmp just reuse x1
- x1 *= y1;
+ mp_int_base x0y0(memory, B + 1);
+ multiply(x0y0, x0, y0);
- // tmp -= (x0y0 + x1y1);
- x1.sub_smaller_magnitude(x0y0);
- x1.sub_smaller_magnitude(x1y1);
+ mp_int_base x1y1(memory, B*2 + B + 1);
+ multiply(x1y1, x1, y1);
+
+ // c = (x1 + x0) * (y1 + y0)
+ add_magnitude(a, x1, x0);
+ add_magnitude(b, y1, y0);
+ multiply(c, a, b);
+
+ // c -= (x0y0 + x1y1);
+ sub_smaller_magnitude(c, x0y0);
+ sub_smaller_magnitude(c, x1y1);
// shift by B
- x1.shift_digits_left(B);
- x1y1.shift_digits_left(B * 2);
+ shift_digits_left(x1, B);
+ shift_digits_left(x1y1, B * 2);
- x1.add_magnitude(x0y0);
- x1.add_magnitude(x1y1);
- swap(x1);
-}
+ x1y1.add_magnitude(x1y1, x1);
+ x1y1.add_magnitude(x1y1, x0y0);
+ z.swap(x1y1);
+ //////////////////////////////////////////////////////////
-// multiplies |a| * |b| and only computes up to digs digits of result
-// HAC pp. 595, Algorithm 14.12 Modified so you can control how
-// many digits of output are created.
-template<class A, class T>
-void mp_int<A,T>::mul_digits(const mp_int& b, size_type digs)
-{
- mp_int tmp;
- tmp.grow_capacity(digs);
- // zero allocated digits
- std::memset(tmp.digits_, 0, sizeof(digit_type) * digs);
- tmp.size_ = digs;
+ size_type smallest_B = B;
+ while (smallest_B > karatsuba_mul_cutoff)
+ smallest_B /= 2;
- // compute the digits of the product directly
- for (size_type i = 0; i < size_; ++i)
+ for (size_type i = 0; i < std::min(x.size(), y.size()); i += smallest_B)
{
- digit_type carry = 0;
+ mp_int_base_type x0(x.digits() + B*i, B, B);
+ mp_int_base_type y0(y.digits() + B*i, B, B);
+ mp_int_base_type x1(x.digits() + B, x.size() - B, x.size() - B);
+ mp_int_base_type y1(y.digits() + B, y.size() - B, y.size() - B);
- // limit ourselves to making digs digits of output
- const size_type pb = std::min(b.size_, digs - i);
+ }
+}*/
- // compute the columns of the output and propagate the carry
- for (size_type j = 0; j < pb; ++j)
- {
- // compute the column as a word_type
- const word_type r = static_cast<word_type>(tmp[i+j])
- + static_cast<word_type>(digits_[i])
- * static_cast<word_type>(b[j])
- + static_cast<word_type>(carry);
- // the new column is the lower part of the result
- tmp[i+j] = static_cast<digit_type>(r);
- // get the carry word from the result
- carry = static_cast<digit_type>(r >> static_cast<word_type>(valid_bits));
- }
- // set carry if it is placed below digs
- if (i + pb < digs)
- tmp[i+pb] = carry;
+template<class ApInt>
+struct multiplier<ApInt, true>
+{
+ typedef ApInt int_type;
+ typedef typename int_type::traits_type traits_type;
+ typedef typename traits_type::ops_type ops_type;
+ typedef typename int_type::digit_type digit_type;
+ typedef typename int_type::size_type size_type;
+
+ static void multiply_or_square(ApInt& z, const ApInt& x);
+ static void multiply_or_square(ApInt& z, const ApInt& x, const ApInt& y);
+
+ static void mul(ApInt& z, const ApInt& x, const ApInt& y);
+
+ static void multiply_by_2(ApInt& z)
+ {
+ multiplier<ApInt, false>::multiply_by_2(z);
+ }
+
+ static void sqr(ApInt& z)
+ {
+ multiplier<ApInt, false>::sqr(z);
+ z.set_sign_bit(0);
}
- tmp.clamp();
+ static void sqr(ApInt& z, const ApInt& x)
+ {
+ multiplier<ApInt, false>::sqr(z, x);
+ z.set_sign_bit(0);
+ }
+};
- if (!tmp)
- tmp.set_sign(1);
- swap(tmp);
+template<class ApInt>
+void multiplier<ApInt, true>::multiply_or_square(ApInt& z, const ApInt& x)
+{
+ if (&z == &x)
+ sqr(z);
+ else
+ mul(z, z, x);
}
-// FIXME no routine seems to use this
-//
-// multiplies |a| * |b| and does not compute the lower num digits
-// [meant to get the higher part of the product]
-template<class A, class T>
-void mp_int<A,T>::mul_high_digits(const mp_int& b, size_type num)
-{
- mp_int tmp;
- tmp.grow_capacity(size_ + b.size_ + 1);
- tmp.size_ = size_ + b.size_ + 1;
- std::memset(tmp.digits_, 0, sizeof(digit_type) * tmp.size_);
-
- for (size_type i = 0; i < size_; ++i)
- {
- iterator dst = tmp.begin() + num;
- const_iterator z = b.begin() + (num - i);
- digit_type carry = 0;
-
- for (size_type j = num - i; j < b.size_; ++j)
- {
- const word_type r = static_cast<word_type>(*dst)
- + static_cast<word_type>(digits_[i])
- * static_cast<word_type>(*z++)
- + static_cast<word_type>(carry);
+template<class ApInt>
+void
+multiplier<ApInt, true>::
+multiply_or_square(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ if (&x == &y)
+ sqr(z, x);
+ else
+ mul(z, x, y);
+}
- // get the lower part
- *dst++ = static_cast<digit_type>(r);
+template<class ApInt>
+void multiplier<ApInt, true>::mul(ApInt& z, const ApInt& x, const ApInt& y)
+{
+ // always multiply larger by smaller number
+ const ApInt* a = &x;
+ const ApInt* b = &y;
+ if (a->size() < b->size())
+ std::swap(a, b);
- // update carry
- carry = static_cast<digit_type>(r >> valid_bits);
+ if (b->size() == 1U)
+ {
+ if ((*b)[0] == 0U)
+ {
+ z.reserve(1);
+ z[0] = 0;
+ z.set_size(1);
+ z.set_sign_bit(0);
}
- *dst = carry;
+ else if ((*b)[0] == 1U)
+ z = *a;
+ else
+ ApInt::template integral_ops<digit_type>::multiply(z, *a, (*b)[0]);
}
+ else
+ {
+ const bool s = x.sign_bit() ^ y.sign_bit();
- tmp.clamp();
-
- if (!tmp)
- tmp.set_sign(1);
+ if (b->size() < traits_type::karatsuba_mul_threshold)
+ multiplier<ApInt, false>::comba_mul(z, *a, *b);
+ else if (b->size() < traits_type::toom_mul_threshold)
+ multiplier<ApInt, false>::karatsuba_mul(z, *a, *b);
+ else
+ multiplier<ApInt, false>::toom3_mul(z, *a, *b);
- swap(tmp);
+ z.set_sign_bit(s);
+ }
}
-// this is a modified version of fast_s_mul_digs that only produces
-// output digits *above* num. See the comments for fast_s_mul_digs
-// to see how it works.
-//
-// This is used in the Barrett reduction since for one of the multiplications
-// only the higher digits were needed. This essentially halves the work.
-//
-// Based on Algorithm 14.12 on pp.595 of HAC.
-template<class A, class T>
-void mp_int<A,T>::fast_mul_high_digits(const mp_int& b, size_type num)
-{
- mul_high_digits(b, num);
-}
+
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
Copied: sandbox/mp_math/boost/mp_math/integer/detail/power.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/pow.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/pow.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/power.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,66 +1,144 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Tom St Denis 2002 - 2007.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-// computes a = 2**b
-// Simple algorithm which zeroes the int, grows it then just sets one bit
-// as required.
-template<class A, class T>
-void mp_int<A,T>::pow2(typename mp_int<A,T>::size_type b)
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_POWER_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_POWER_HPP
+
+#include <boost/mp_math/integer/detail/multiplier.hpp>
+#include <boost/type_traits/make_unsigned.hpp>
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+
+template<
+ class ApInt,
+ bool IsSigned = ApInt::is_signed
+>
+struct power;
+
+
+template<class ApInt>
+struct power<ApInt, false>
{
- grow_capacity(b / digit_bits + 1);
+ typedef typename ApInt::digit_type digit_type;
+ typedef typename ApInt::size_type size_type;
- // set size_ to where the bit will go
- size_ = b / digit_bits + 1;
+ static void pow(ApInt& z, const ApInt& x, size_type y);
+ static void pow(ApInt& z, const ApInt& x, const ApInt& y);
+ static void pow2(ApInt& z, size_type n);
+};
- // set all bits to zero
- std::memset(digits_, 0, size_ * sizeof(digit_type));
-
- // put the single bit in its place
- digits_[b / digit_bits] = digit_type(1) << (b % digit_bits);
-}
-// calculate c = x**y using a square-multiply algorithm
-template<class A, class T>
-mp_int<A,T> pow(const mp_int<A,T>& x, typename mp_int<A,T>::digit_type y)
+template<class ApInt>
+void power<ApInt, false>::pow(ApInt& z, const ApInt& x, size_type y)
{
- mp_int<A,T> result;
+ z = digit_type(1);
- result = typename mp_int<A,T>::digit_type(1);
+ if (y == 0U)
+ return;
- const typename mp_int<A,T>::digit_type mask = 1 << (mp_int<A,T>::digit_bits - 1);
-
- for (int i = 0; i < mp_int<A,T>::digit_bits; ++i)
+ size_type mask = size_type(1) << (std::numeric_limits<size_type>::digits - 1);
+
+ int i = 0;
+ while (!(y & mask)) // skip leading zero bits
{
- result.sqr();
+ ++i;
+ mask >>= 1;
+ }
+
+ for (; i < std::numeric_limits<size_type>::digits; ++i)
+ {
+ multiplier<ApInt>::sqr(z);
// if the bit is set multiply
if (y & mask)
- result *= x;
+ multiplier<ApInt>::mul(z, z, x);
// shift to next bit
- y <<= 1;
+ mask >>= 1;
}
-
- return result;
}
-template<class A, class T>
-mp_int<A,T> pow(const mp_int<A,T>& x, const mp_int<A,T>& y)
+// calculate z = x^y using a square-multiply algorithm
+template<class ApInt>
+void power<ApInt, false>::pow(ApInt& z, const ApInt& x, const ApInt& y)
{
if (y.size() == 1)
- return pow(x, y[0]);
+ {
+ pow(z, x, y[0]);
+ return;
+ }
+
+ z = digit_type(1);
- mp_int<A,T> y0(y);
-
- y0.divide_by_2();
-
- mp_int<A,T> y1(y0);
+ ApInt mask(digit_type(1));
+ mask <<= y.precision() - 1; // TODO use pow2
- if (y.is_odd())
- ++y1;
+ for (size_type i = 0; i < y.precision(); ++i)
+ {
+ multiplier<ApInt>::sqr(z);
- return pow(x, y0) * pow(x, y1);
+ // if the bit is set multiply
+ if (y & mask)
+ multiplier<ApInt>::mul(z, z, x);
+
+ // shift to next bit
+ mask >>= 1;
+ }
}
+// computes z = 2^n
+template<class ApInt>
+void power<ApInt, false>::pow2(ApInt& z, size_type n)
+{
+ static const size_type db = ApInt::traits_type::digit_bits;
+ const size_type q = n / db + 1;
+ const size_type r = n % db;
+
+ z.reserve(q);
+
+ std::memset(z.digits(), 0, q * sizeof(digit_type));
+
+ z[q-1] = digit_type(1) << r;
+
+ z.set_size(q);
+}
+
+
+
+template<class ApInt>
+struct power<ApInt, true>
+{
+ typedef typename ApInt::size_type size_type;
+
+ static void pow(ApInt& z, const ApInt& x, size_type y)
+ {
+ power<ApInt, false>::pow(z, x, y);
+ z.set_sign_bit(y & 1 ? x.sign_bit() : 0);
+ }
+
+ static void pow(ApInt& z, const ApInt& x, const ApInt& y)
+ {
+ if (y.is_negative())
+ throw std::domain_error("pow: negative exponent");
+ power<ApInt, false>::pow(z, x, y);
+ z.set_sign_bit(y.is_odd() ? x.sign_bit() : 0);
+ }
+
+ static void pow2(ApInt& z, size_type n)
+ {
+ power<ApInt, false>::pow2(z, n);
+ }
+};
+
+
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Modified: sandbox/mp_math/boost/mp_math/integer/detail/prime_tab.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/prime_tab.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/prime_tab.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,10 +1,10 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_DETAIL_PRIME_TAB_HPP
-#define BOOST_MP_MATH_DETAIL_PRIME_TAB_HPP
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_PRIME_TAB_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_PRIME_TAB_HPP
namespace boost {
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/detail/primitive_ops.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/primitive_ops.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,707 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_DETAIL_PRIMITIVE_OPS
-#define BOOST_MP_MATH_MP_INT_DETAIL_PRIMITIVE_OPS
-
-namespace boost {
-namespace mp_math {
-namespace detail {
-
-
-// this struct contains some basic arithmetic algorithms
-// which can be implemented via assembly rather easily
-
-template<typename DigitT, typename WordT, typename SizeT>
-struct basic_primitive_ops
-{
- typedef DigitT digit_type;
- typedef WordT word_type;
- typedef SizeT size_type;
-
- static const word_type digit_bits = std::numeric_limits<digit_type>::digits;
-
- // ADD ------------------------------------
-
- // add y to the digits in x and store result in z
- // xlen must be > 0
- // returns: the last carry (it will not get stored in z)
- static digit_type add_single_digit(digit_type* z,
- const digit_type* x, size_type xlen,
- digit_type y);
-
- // z = x + y, returns last carry
- static digit_type add_digits(digit_type* z,
- const digit_type* x,
- const digit_type* y,
- size_type num);
-
- // ripples the carry c up through n digits of x and stores results in z
- // returns the number of digits the carry rippled through and stores the last
- // carry in c. If there isn't a last carry then c will be 0.
- static size_type ripple_carry(digit_type* z,
- const digit_type* x,
- size_type n,
- digit_type& c);
-
- // z = x + y, where xlen >= ylen
- // returns last carry
- static digit_type add_smaller_magnitude(digit_type* z,
- const digit_type* x, size_type xlen,
- const digit_type* y, size_type ylen);
-
- // SUB ------------------------------------
-
- // subtracts x from the digits in y and store result in z
- static void subtract_single_digit(digit_type* z,
- const digit_type* x, size_type xlen,
- digit_type y);
-
- // z = x - y, returns last borrow
- static digit_type subtract_digits(digit_type* z,
- const digit_type* x,
- const digit_type* y,
- size_type num);
-
- // ripples the borrow up through n digits of x and stores results in z
- // returns the number of digits the borrow rippled through
- static size_type ripple_borrow(digit_type* z,
- const digit_type* x,
- size_type n,
- digit_type borrow);
-
- // z = x - y, where x >= y
- static void sub_smaller_magnitude(digit_type* z,
- const digit_type* x, size_type xlen,
- const digit_type* y, size_type ylen);
-
- // MUL ------------------------------------
-
- // multiply y of length ylen with x and store result in z
- // returns: the last carry (it will not get stored in z)
- static digit_type multiply_by_digit(digit_type* z,
- const digit_type* x, size_type xlen,
- digit_type y);
-
- // z = x * 2
- static digit_type multiply_by_two(digit_type* z,
- const digit_type* x, size_type len);
-
- // z = x * y
- static void classic_mul(digit_type* z, const digit_type* x, size_type xlen,
- const digit_type* y, size_type ylen);
-
- // z = x * y; precondition: xlen >= ylen
- static void comba_mul(digit_type* z, const digit_type* x, size_type xlen,
- const digit_type* y, size_type ylen);
-
- // z = x * y; for numbers of the same size
- static void comba_mul(digit_type* z,
- const digit_type* x,
- const digit_type* y, size_type xylen);
-
- // SQR ------------------------------------
-
- // z = x * x;
- static void comba_sqr(digit_type* z, const digit_type* x, size_type xlen);
-
- // MADD ------------------------------------
-
- // z = w * x + y
- static digit_type multiply_add_digits(digit_type* z,
- const digit_type* w,
- digit_type x,
- const digit_type* y,
- size_type n);
-
- // DIV -------------------------------------
-
- // z = x / 2
- static void divide_by_two(digit_type* z, const digit_type* x, size_type len);
-
- // z = x / y
- // returns remainder
- static digit_type divide_by_digit(digit_type* z,
- const digit_type* x, size_type xlen,
- digit_type y);
-};
-
-
-
-template<typename D, typename W, typename S>
-inline
-D basic_primitive_ops<D,W,S>::add_single_digit(digit_type* z,
- const digit_type* x,
- size_type xlen,
- digit_type y)
-{
- word_type carry = static_cast<word_type>(*x++) + y;
- *z++ = static_cast<digit_type>(carry);
- carry >>= digit_bits;
-
- while (carry && --xlen)
- {
- carry += static_cast<word_type>(*x++);
- *z++ = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- return static_cast<digit_type>(carry);
-}
-
-
-template<typename D, typename W, typename S>
-inline
-D basic_primitive_ops<D,W,S>::add_digits(digit_type* z,
- const digit_type* x,
- const digit_type* y, size_type n)
-{
- word_type carry = 0;
-
- while (n--)
- {
- carry += static_cast<word_type>(*x++) + static_cast<word_type>(*y++);
- *z++ = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- return static_cast<digit_type>(carry);
-}
-
-template<typename D, typename W, typename S>
-inline
-S basic_primitive_ops<D,W,S>::ripple_carry(digit_type* z,
- const digit_type* x,
- size_type n,
- digit_type& carry)
-{
- word_type c = carry;
- size_type i = 0;
-
- for (; c && (i < n); ++i)
- {
- c += static_cast<word_type>(*x++);
- *z++ = static_cast<digit_type>(c);
- c >>= digit_bits;
- }
-
- carry = static_cast<digit_type>(c);
-
- return i;
-}
-
-template<typename D, typename W, typename S>
-inline
-D basic_primitive_ops<D,W,S>::add_smaller_magnitude(digit_type* z,
- const digit_type* x,
- size_type xlen,
- const digit_type* y,
- size_type ylen)
-{
- digit_type carry = add_digits(z, x, y, ylen);
-
- size_type n = ripple_carry(z + ylen, x + ylen, xlen - ylen, carry);
-
- n += ylen;
-
- if (n < xlen && z != x)
- std::memcpy(z + n, x + n, sizeof(digit_type) * (xlen - n));
-
- return carry;
-}
-
-template<typename D, typename W, typename S>
-inline
-void
-basic_primitive_ops<D,W,S>::subtract_single_digit(digit_type* z,
- const digit_type* y,
- size_type ylen,
- digit_type x)
-{
- word_type borrow = static_cast<word_type>(*y++) - x;
- *z++ = static_cast<digit_type>(borrow);
- borrow >>= static_cast<word_type>(std::numeric_limits<word_type>::digits - 1);
-
- while (borrow && --ylen)
- {
- borrow = static_cast<word_type>(*y++) - borrow;
- *z++ = static_cast<digit_type>(borrow);
- borrow >>= static_cast<word_type>(std::numeric_limits<word_type>::digits - 1);
- }
-}
-
-template<typename D, typename W, typename S>
-inline
-D basic_primitive_ops<D,W,S>::subtract_digits(digit_type* z,
- const digit_type* x,
- const digit_type* y,
- size_type n)
-{
- word_type borrow = 0;
-
- while (n--)
- {
- borrow = static_cast<word_type>(*x++) - static_cast<word_type>(*y++) - borrow;
- *z++ = static_cast<digit_type>(borrow);
- borrow >>= std::numeric_limits<word_type>::digits - 1;
- }
-
- return static_cast<digit_type>(borrow);
-}
-
-template<typename D, typename W, typename S>
-inline
-S basic_primitive_ops<D,W,S>::ripple_borrow(digit_type* z,
- const digit_type* x,
- size_type n,
- digit_type borrow)
-{
- word_type b = borrow;
- size_type i = 0;
- for (; b && (i < n); ++i)
- {
- b = static_cast<word_type>(*x++) - b;
- *z++ = static_cast<digit_type>(b);
- b >>= std::numeric_limits<word_type>::digits - 1;
- }
-
- return i;
-}
-
-template<typename D, typename W, typename S>
-inline
-void basic_primitive_ops<D,W,S>::sub_smaller_magnitude(
- digit_type* z,
- const digit_type* x, size_type xlen,
- const digit_type* y, size_type ylen)
-{
- const digit_type borrow = subtract_digits(z, x, y, ylen);
-
- size_type n = ripple_borrow(z + ylen, x + ylen, xlen - ylen, borrow);
-
- if (z != x)
- {
- n += ylen;
- std::memcpy(z + n, x + n, (xlen - n) * sizeof(digit_type));
- }
-}
-
-template<typename D, typename W, typename S>
-inline
-D basic_primitive_ops<D,W,S>::multiply_by_digit(digit_type* z,
- const digit_type* y,
- size_type ylen,
- digit_type x)
-{
- digit_type carry = 0;
-
- while (ylen--)
- {
- const word_type tmp = static_cast<word_type>(carry)
- + static_cast<word_type>(*y++)
- * static_cast<word_type>(x);
- *z++ = static_cast<digit_type>(tmp);
- carry = static_cast<digit_type>(tmp >> digit_bits);
- }
-
- return carry;
-}
-
-template<typename D, typename W, typename S>
-inline
-D basic_primitive_ops<D,W,S>::multiply_by_two(digit_type* z,
- const digit_type* x, size_type n)
-{
- static const digit_type one = 1U;
-
- digit_type carry = 0;
-
- while (n--)
- {
- // get carry bit for next iteration
- const digit_type r = *x >> (static_cast<digit_type>(digit_bits) - one);
-
- *z++ = (*x++ << one) | carry;
-
- carry = r;
- }
-
- return carry;
-}
-
-template<typename D, typename W, typename S>
-void
-basic_primitive_ops<D,W,S>::classic_mul(
- digit_type* z, const digit_type* x, size_type xlen,
- const digit_type* y, size_type ylen)
-{
- // phase 1
- word_type tmp = static_cast<word_type>(x[0]) * static_cast<word_type>(y[0]);
- z[0] = static_cast<digit_type>(tmp);
-
- for (size_type i = 1; i < xlen; ++i)
- {
- tmp = (tmp >> digit_bits)
- + static_cast<word_type>(x[i])
- * static_cast<word_type>(y[0]);
- z[i] = static_cast<digit_type>(tmp);
- }
-
- tmp >>= digit_bits;
- z[xlen] = static_cast<digit_type>(tmp);
-
- // phase 2
- for (size_type i = 1; i < ylen; ++i)
- {
- tmp = static_cast<word_type>(y[i])
- * static_cast<word_type>(x[0])
- + static_cast<word_type>(z[i]);
- z[i] = static_cast<digit_type>(tmp);
-
- for (size_type j = 1; j < xlen; ++j)
- {
- tmp = (tmp >> digit_bits)
- + static_cast<word_type>(y[i]) * static_cast<word_type>(x[j])
- + static_cast<word_type>(z[i+j]);
- z[i+j] = static_cast<digit_type>(tmp);
- }
-
- tmp >>= digit_bits;
- z[i + xlen] = static_cast<digit_type>(tmp);
- }
-}
-
-
-// K = 2 ^ (alpha - (2*beta-1))
-// alpha = num bits of word_type, beta = num bits of digit_type
-// calculation works in 3 phases
-// 65432
-// x 223
-//----------------------------------
-// | 18 15 | 12 9 6
-// 12 | 10 8 | 6 4
-// 12 10 | 8 6 | 4
-// | |
-// phase: 3 | 2 | 1
-//
-// TODO handle too long columns => carry may overflow. This can happen if
-// digit_type is 8bit; in that case delegate to classic_mul routine in
-// operator *= (). Just check if (smaller number).used_ >= overflow_count.
-template<typename D, typename W, typename S>
-void
-basic_primitive_ops<D,W,S>::comba_mul(digit_type* z,
- const digit_type* x, size_type xlen,
- const digit_type* y, size_type ylen)
-{
- assert(xlen >= ylen);
-
- word_type acc = 0; // accumulator for each column
- word_type carry = 0;
-
- // phase 1
- for (size_type i = 0; i < ylen; ++i)
- {
- const digit_type* a = x;
- const digit_type* b = y + i;
-
- for (size_type j = 0; j <= i; ++j)
- {
- acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
- carry += acc >> digit_bits;
- acc = static_cast<digit_type>(acc);
- }
-
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- // phase 2
- for (size_type i = 0; i < xlen - ylen; ++i)
- {
- const digit_type* a = x + ylen + i;
- const digit_type* b = y;
-
- for (size_type j = 0; j < ylen; ++j)
- {
- acc += static_cast<word_type>(*a--) * static_cast<word_type>(*b++);
- carry += acc >> digit_bits;
- acc = static_cast<digit_type>(acc);
- }
-
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- // phase 3
- for (size_type i = 0; i < ylen - 1; ++i)
- {
- const digit_type* a = x + xlen - 1;
- const digit_type* b = y + i + 1;
-
- for (size_type j = i + 1; j < ylen; ++j)
- {
- acc += static_cast<word_type>(*a--) * static_cast<word_type>(*b++);
- carry += acc >> digit_bits;
- acc = static_cast<digit_type>(acc);
- }
-
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- *z = static_cast<digit_type>(acc);
-}
-
-template<typename D, typename W, typename S>
-void
-basic_primitive_ops<D,W,S>::comba_mul(digit_type* z,
- const digit_type* x,
- const digit_type* y, size_type xylen)
-{
- word_type acc = 0; // accumulator for each column
- word_type carry = 0;
-
- // phase 1
- for (size_type i = 0; i < xylen; ++i)
- {
- const digit_type* a = x;
- const digit_type* b = y + i;
-
- for (size_type j = 0; j <= i; ++j)
- {
- acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
- carry += acc >> digit_bits;
- acc = static_cast<digit_type>(acc);
- }
-
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- // phase 2
- for (size_type i = 1; i < xylen; ++i)
- {
- const digit_type* a = y + xylen - 1;
- const digit_type* b = x + i;
-
- for (size_type j = 0; j < xylen - i; ++j)
- {
- acc += static_cast<word_type>(*a--) * static_cast<word_type>(*b++);
- carry += acc >> digit_bits;
- acc = static_cast<digit_type>(acc);
- }
-
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- *z = static_cast<digit_type>(acc);
-}
-
-template<typename D, typename W, typename S>
-void
-basic_primitive_ops<D,W,S>::comba_sqr(digit_type* z,
- const digit_type* x,
- size_type xlen)
-{
-/* word_type acc = 0;
- word_type carry = 0;
- word_type acc2;
-
- for (size_type i = 0; i < xlen; ++i)
- {
- // even colum
- acc += static_cast<word_type>(x[i]) * static_cast<word_type>(x[i]);
-
- const digit_type* a = x + i;
- const digit_type* b = x + i;
-
- acc2 = 0;
- for (size_type j = 0; j < (i - n&1) >> 1; ++j)
- {
- acc2 += static_cast<word_type>(*(--a)) * static_cast<word_type>(*(--b));
- carry += acc2 >> digit_bits;
- acc2 = static_cast<digit_type>(acc2);
- }
-
- acc += acc2 + acc2;
-
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
- carry >>= digit_bits;
-
- // odd column
- const digit_type* a = x + i;
- const digit_type* b = x + i + 1;
-
- acc2 = 0;
- for (size_type j = 0; j <= i; ++j)
- {
- acc2 += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
- carry += acc2 >> digit_bits;
- acc2 = static_cast<digit_type>(acc2);
- }
-
- acc += acc2 + acc2;
-
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- *z = static_cast<digit_type>(acc);*/
-
-
- word_type acc = 0; // accumulator for each column
- word_type carry = 0;
-
- // phase 1
- for (size_type i = 0; i < xlen; ++i)
- {
- const digit_type* a = x;
- const digit_type* b = x + i;
-
- for (size_type j = 0; j <= i; ++j)
- {
- acc += static_cast<word_type>(*a++) * static_cast<word_type>(*b--);
- carry += acc >> digit_bits;
- acc = static_cast<digit_type>(acc);
- }
-
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- // phase 2
- for (size_type i = 1; i < xlen; ++i)
- {
- const digit_type* a = x + xlen - 1;
- const digit_type* b = x + i;
-
- for (size_type j = 0; j < xlen - i; ++j)
- {
- acc += static_cast<word_type>(*a--) * static_cast<word_type>(*b++);
- carry += acc >> digit_bits;
- acc = static_cast<digit_type>(acc);
- }
-
- *z++ = static_cast<digit_type>(acc);
- acc = static_cast<digit_type>(carry);
- carry >>= digit_bits;
- }
-
- *z = static_cast<digit_type>(acc);
-}
-
-template<typename D, typename W, typename S>
-D basic_primitive_ops<D,W,S>::multiply_add_digits(digit_type* z,
- const digit_type* w,
- digit_type x,
- const digit_type* y,
- size_type n)
-{
- word_type carry = 0;
- while (n--)
- {
- const word_type r = static_cast<word_type>(*w++)
- * static_cast<word_type>(x)
- + static_cast<word_type>(*y++)
- + carry;
-
- *z++ = static_cast<digit_type>(r);
- carry = r >> digit_bits;
- }
-
- return static_cast<digit_type>(carry);
-}
-
-
-template<typename D, typename W, typename S>
-inline
-void basic_primitive_ops<D,W,S>::divide_by_two(digit_type* z,
- const digit_type* x, size_type n)
-{
- z += n - 1;
- x += n - 1;
-
- digit_type carry = 0;
-
- while (n--)
- {
- // get carry for next iteration
- const digit_type r = *x & 1;
-
- *z-- = (*x-- >> 1) | (carry << (digit_bits - 1));
-
- carry = r;
- }
-}
-
-template<typename D, typename W, typename S>
-D basic_primitive_ops<D,W,S>::divide_by_digit(digit_type* z,
- const digit_type* x, size_type n,
- digit_type y)
-{
- z += n - 1;
- x += n - 1;
-
- word_type w = 0;
-
- while (n--)
- {
- w = (w << digit_bits) | static_cast<word_type>(*x--);
- digit_type tmp;
- if (w >= y)
- {
- tmp = static_cast<digit_type>(w / y);
- w -= tmp * y;
- }
- else
- tmp = 0;
- *z-- = tmp;
- }
-
- return static_cast<digit_type>(w);
-}
-
-
-
-
-// This exists to ease development of primitive_ops specializations. If a
-// specialized function isn't available yet, the compiler will just choose the
-// inherited one. It also means that whenever we add a new function to
-// basic_primitive_ops no code will break since it will be available to all
-// specializations as well.
-template<typename D, typename W, typename S>
-struct primitive_ops : basic_primitive_ops<D,W,S>
-{};
-
-
-// Here we include primitive_ops specializations that use assembler
-
-#if defined(BOOST_MP_MATH_MP_INT_USE_ASM)
-
- #if defined(__GNU__)
- #if defined(__386__)
- #include <boost/mp_math/mp_int/detail/asm/x86/gnu_386_primitive_ops.hpp>
- #endif
- #endif
-
-#endif
-
-
-
-} // namespace detail
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Copied: sandbox/mp_math/boost/mp_math/integer/detail/root.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/root.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/root.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/root.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,202 +1,225 @@
+// Copyright Tom St Denis 2002 - 2007.
// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_ROOT_HPP
-#define BOOST_MP_MATH_MP_INT_ROOT_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_ROOT_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_ROOT_HPP
+#include <boost/mp_math/integer/detail/multiplier.hpp>
+#include <boost/type_traits/make_unsigned.hpp>
namespace boost {
namespace mp_math {
+namespace detail {
-template<class A, class T>
-mp_int<A,T> sqrt(const mp_int<A,T>& x)
+// Newton-Raphson approximation
+template<class ApInt, typename IntegerT>
+void
+newton_raphson_loop(ApInt& a, ApInt& b, const IntegerT& n, const ApInt& x)
{
- if (x.is_negative())
- throw std::domain_error("sqrt: argument must be positive");
-
- mp_int<A,T> t1;
-
- if (!x)
- {
- t1.zero();
- return t1;
- }
-
- t1 = x;
-
- // First approx. (not very bad for large arg)
- t1.shift_digits_right(t1.size()/2);
+ //std::cout << "initial = " << b.template to_string<std::string>(std::ios::hex) << std::endl;
+ // a is going to hold the result
+ // b holds the initial approximation
+ // c is just another temporary
+ ApInt c;
- // t1 > 0
- mp_int<A,T> t2 = x / t1;
-
- t1 += t2;
- t1.divide_by_2();
- // And now t1 > sqrt(arg)
+ // improve the initial approximation b
do
{
- t2 = x / t1;
- t1 += t2;
- t1.divide_by_2();
- // t1 >= sqrt(arg) >= t2 at this point
- } while (t1.compare_magnitude(t2) == 1);
-
- return t1;
-}
+ a = b;
+ // b = a - (a^n - x) / (n * a^(n-1))
-// Uses Newton-Raphson approximation.
-template<class A, class T>
-mp_int<A,T> nth_root(const mp_int<A,T>& x, typename mp_int<A,T>::digit_type n)
-{
- if ((n & 1) == 0 && x.is_negative())
- throw std::domain_error("nth_root: argument must be positive if n is even");
-
- if (n == 0U)
- throw std::domain_error("nth_root: n must not be zero");
- else if (n == 1U)
- return x;
-
- // if x is negative fudge the sign but keep track
- const int neg = x.sign();
- const_cast<mp_int<A,T>*>(&x)->set_sign(1);
-
- mp_int<A,T> t1, t2, t3;
-
- typedef typename mp_int<A,T>::size_type size_type;
-
- // initial approximation
- const size_type result_precision = (x.precision() - 1) / n + 1;
- t2.grow_capacity(1);
- t2.set_size(1);
- t2[0] = 0;
- t2.set_bits(0, result_precision + 1);
-
- do
- {
- t1 = t2;
-
- // t2 = t1 - ((t1**n - x) / (n * t1**(n-1)))
-
- // t3 = t1**(n-1)
- t3 = pow(t1, n-1);
+ c = pow(a, n-1);
+ //std::cout << "c = " << c.template to_string<std::string>(std::ios::hex) << std::endl;
+ //std::cout << "a = " << a.template to_string<std::string>(std::ios::hex) << std::endl;
+ //std::cout << "x = " << x.template to_string<std::string>(std::ios::hex) << std::endl;
// numerator
- // t2 = t1**n
- t2 = t3 * t1;
-
- // t2 = t1**n - x
- t2 -= x;
+ b = c * a; // b = a^n
+ //std::cout << "b = " << b.template to_string<std::string>(std::ios::hex) << std::endl;
+ b -= x; // b = a^n - x
+ //std::cout << "b = " << b.template to_string<std::string>(std::ios::hex) << std::endl;
// denominator
- // t3 = t1**(n-1) * n
- t3.multiply_by_digit(n);
+ c *= n; // c = a^(n-1) * n
+ c = b / c; // c = (a^n - x) / (n * a^(n-1))
- // t3 = (t1**n - x)/(n * t1**(n-1))
- t3 = t2 / t3;
-
- t2 = t1 - t3;
- } while (t1 != t2);
+ //std::cout << "c = " << c.template to_string<std::string>(std::ios::hex) << std::endl;
+ //std::cout << " ok " << std::endl;
+ b = a - c;
+ //std::cout << " ok2 " << std::endl;
+ } while (a != b);
// result can be off by a few so check
for (;;)
{
- t2 = pow(t1, n);
+ b = pow(a, n);
- if (t2 > x)
- --t1;
+ if (b > x)
+ --a;
else
break;
}
+}
- // reset the sign of x first
- const_cast<mp_int<A,T>*>(&x)->set_sign(neg);
- // set the sign of the result
- t1.set_sign(neg);
+template<
+ class ApInt,
+ bool IsApIntSigned = ApInt::is_signed
+>
+struct root;
- return t1;
-}
-template<class A, class T>
-mp_int<A,T> nth_root(const mp_int<A,T>& x, const mp_int<A,T>& n)
+template<class ApInt>
+struct root<ApInt,false>
{
- if (n.is_odd() && x.is_negative())
- throw std::domain_error("nth_root: argument must be positive if n is even");
-
- if (n.size() == 1)
- return nth_root(x, n[0]);
+ typedef typename ApInt::size_type size_type;
- // if x is negative fudge the sign but keep track
- const int neg = x.sign();
- const_cast<mp_int<A,T>*>(&x)->set_sign(1);
+ static void sqrt (ApInt& z, const ApInt& x);
+ template<typename IntegerT>
+ static void nth_root(ApInt& z, const IntegerT& n, const ApInt& x);
+};
- mp_int<A,T> t1, t2, t3;
- typedef typename mp_int<A,T>::size_type size_type;
+template<class ApInt>
+void
+root<ApInt,false>::sqrt(ApInt& z, const ApInt& x)
+{
+ if (!x)
+ {
+ z = typename ApInt::digit_type(0);
+ return;
+ }
- static const size_type digit_bits = mp_int<A,T>::digit_bits;
+ z = x;
- const size_type result_precision = (x.precision() - 1)
- / n.template to_integral<size_type>() + 1;
+ // first approx. (not very bad for large arg)
+ shifter<ApInt>::shift_digits_right(z, z.size() / 2);
- t2.grow_capacity((result_precision + digit_bits - 1) / digit_bits);
- t2.set_size ((result_precision + digit_bits - 1) / digit_bits);
+ ApInt a = x / z;
- t2[t2.size()-1] = 0;
- t2.set_bits(0, result_precision + 1);
+ z += a;
+ base::divider<ApInt>::divide_by_2(z);
+ // and now z > sqrt(x)
do
{
- t1 = t2;
+ a = x / z;
+ z += a;
+ base::divider<ApInt>::divide_by_2(z);
+ // z >= sqrt(x) >= a at this point
+ } while (z > a);
+}
+
+template<class ApInt>
+template<typename IntegerT>
+void
+root<ApInt,false>::nth_root(ApInt& z, const IntegerT& n, const ApInt& x)
+{
+ if (n == 0U)
+ throw std::domain_error("nth_root: n must not be zero");
+ else if (n == 1U)
+ {
+ z = x;
+ return;
+ }
- // t2 = t1 - ((t1**n - x) / (n * t1**(n-1)))
+ static const size_type digit_bits = ApInt::traits_type::digit_bits;
- // t3 = t1**(n-1)
- t3 = pow(t1, n-1);
+ // create initial approximation
+ z = x.precision() - 1;
+ z /= n;
+ const size_type result_precision = z.template to_integral<size_type>() + 1;
+
+ const size_type result_digits = (result_precision + (digit_bits - 1))
+ / digit_bits;
+ ApInt initial_approximation;
+ initial_approximation.reserve (result_digits);
+ initial_approximation.set_size(result_digits);
- // numerator
- // t2 = t1**n
- t2 = t3 * t1;
+ initial_approximation[result_digits - 1] = 0;
+ initial_approximation.set_bits(0, result_precision + 1);
- // t2 = t1**n - x
- t2 -= x;
+ newton_raphson_loop(z, initial_approximation, n, x);
+}
- // denominator
- // t3 = t1**(n-1) * n
- t3 *= n;
- // t3 = (t1**n - x)/(n * t1**(n-1))
- t3 = t2 / t3;
+template<class ApInt>
+struct root<ApInt,true>
+{
+ typedef typename ApInt::size_type size_type;
- t2 = t1 - t3;
- } while (t1 != t2);
+ static void sqrt (ApInt& z, const ApInt& x);
+ static void nth_root(ApInt& z, size_type n, const ApInt& x);
+ static void nth_root(ApInt& z, const ApInt& n, const ApInt& x);
+};
- // result can be off by a few so check
- for (;;)
- {
- t2 = pow(t1, n);
- if (t2 > x)
- --t1;
- else
- break;
+template<class ApInt>
+void
+root<ApInt,true>::sqrt(ApInt& z, const ApInt& x)
+{
+ if (x.is_negative())
+ throw std::domain_error("sqrt: radicand must be positive");
+
+ root<ApInt,false>::sqrt(z, x);
+}
+
+template<class ApInt>
+void
+root<ApInt,true>::nth_root(ApInt& z, size_type n, const ApInt& x)
+{
+ if ((n & 1) == 0 && x.is_negative())
+ throw std::domain_error("nth_root: radicand must be positive if n is even");
+
+ // x must be positive for the algorithm to work
+ const bool s = x.sign_bit();
+ const_cast<ApInt&>(x).set_sign_bit(0);
+
+ try
+ {
+ root<ApInt,false>::nth_root(z, n, x);
+ }
+ catch (const std::exception&)
+ {
+ const_cast<ApInt&>(x).set_sign_bit(s);
+ throw;
}
- // reset the sign of x first
- const_cast<mp_int<A,T>*>(&x)->set_sign(neg);
+ const_cast<ApInt&>(x).set_sign_bit(s);
+ z.set_sign_bit(s);
+}
+
+template<class ApInt>
+void
+root<ApInt,true>::nth_root(ApInt& z, const ApInt& n, const ApInt& x)
+{
+ if (n.is_even() && x.is_negative())
+ throw std::domain_error("nth_root: radicand must be positive if n is even");
+
+ // x must be positive for the algorithm to work
+ const bool s = x.sign_bit();
+ const_cast<ApInt&>(x).set_sign_bit(0);
- // set the sign of the result
- t1.set_sign(neg);
+ try
+ {
+ root<ApInt,false>::nth_root(z, n, x);
+ }
+ catch (const std::exception&)
+ {
+ const_cast<ApInt&>(x).set_sign_bit(s);
+ throw;
+ }
- return t1;
+ const_cast<ApInt&>(x).set_sign_bit(s);
+ z.set_sign_bit(s);
}
+} // namespace detail
} // namespace mp_math
} // namespace boost
Copied: sandbox/mp_math/boost/mp_math/integer/detail/string_conversion.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/string_conversion.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/string_conversion.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/detail/string_conversion.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,314 +1,985 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-namespace detail
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_STRING_CONVERTER_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_STRING_CONVERTER_HPP
+
+#include <algorithm>
+#include <iostream>
+#include <memory>
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+
+template<
+ typename T,
+ T Radix,
+ T Count = 0,
+ T Temp = Radix,
+ bool continue_recursion = true
+>
+struct max_power_impl
{
- template<typename charT>
- inline int ascii_to_value(const charT c)
+ // continue recursion until Temp overflows
+ static const T a = static_cast<T>(Temp * Radix);
+ static const bool c = (a / Radix) == Temp;
+
+ typedef max_power_impl<T, Radix, Count + 1, c ? a : Temp, c> result;
+
+ static const T exponent = result::exponent;
+ static const T value = result::value;
+};
+
+template<typename T, T Radix, T Count, T Temp>
+struct max_power_impl<T, Radix, Count, Temp, false>
+{
+ static const T exponent = Count;
+ static const T value = Temp;
+};
+
+// T must be an unsigned integral type
+template<typename T, T Radix>
+struct max_power
+{
+ static const T exponent = max_power_impl<T, Radix>::exponent;
+ static const T value = max_power_impl<T, Radix>::value;
+};
+
+
+// Supported radices are 2, 4, 8, 16, 32, 64 and 10
+template<class ApInt>
+struct sc_constants
+{
+ typedef typename ApInt::digit_type digit_type;
+
+//private:
+
+ const unsigned index_;
+
+ static unsigned map_radix_to_index(unsigned radix)
{
- switch (c)
+ switch (radix) // map radix 2^x to index x-1
{
- case '0': case '1': case '2': case '3': case '4':
- case '5': case '6': case '7': case '8': case '9':
- return c - '0';
- case 'A': case 'B': case 'C': case 'D': case 'E': case 'F':
- return c - 'A' + 10;
- case 'a': case 'b': case 'c': case 'd': case 'e': case 'f':
- return c - 'a' + 10;
+ case 2: return 0;
+ case 4: return 1;
+ case 8: return 2;
+ case 16: return 3;
+ case 32: return 4;
+ case 64: return 5;
+ default: return 6; // map radix 10 to index 6
}
- return c;
}
+
+ static const digit_type max_exponent_array_[7];
+ static const digit_type max_power_value_array_[7];
+ static const digit_type radix_storage_bits_array_[7];
+
+public:
+
+ explicit sc_constants(unsigned radix)
+ :
+ index_(map_radix_to_index(radix))
+ {}
+
+ // returns maximal exponent x so that radix^x still fits into a digit_type
+ digit_type max_exponent() const
+ {
+ return max_exponent_array_[index_];
+ }
+
+ // returns the corresponding value y = radix^max_power
+ digit_type max_power_value() const
+ {
+ return max_power_value_array_[index_];
+ }
+
+ // returns ceil(log2(radix))
+ digit_type radix_storage_bits() const
+ {
+ return radix_storage_bits_array_[index_];
+ }
+};
+
+template<class ApInt>
+const typename ApInt::digit_type
+sc_constants<ApInt>::max_exponent_array_[7] =
+{
+ max_power<digit_type, 2>::exponent,
+ max_power<digit_type, 4>::exponent,
+ max_power<digit_type, 8>::exponent,
+ max_power<digit_type, 16>::exponent,
+ max_power<digit_type, 32>::exponent,
+ max_power<digit_type, 64>::exponent,
+ max_power<digit_type, 10>::exponent
+};
+
+template<class ApInt>
+const typename ApInt::digit_type
+sc_constants<ApInt>::max_power_value_array_[7] =
+{
+ max_power<digit_type, 2>::value,
+ max_power<digit_type, 4>::value,
+ max_power<digit_type, 8>::value,
+ max_power<digit_type, 16>::value,
+ max_power<digit_type, 32>::value,
+ max_power<digit_type, 64>::value,
+ max_power<digit_type, 10>::value
+};
+
+template<class ApInt>
+const typename ApInt::digit_type
+sc_constants<ApInt>::radix_storage_bits_array_[7] = {1, 2, 3, 4, 5, 6, 4};
+
+
+// Always call detect_properties before calling convert, unless you're providing
+// the radix explicitly. In that case the number must not have a radix prefix.
+
+template<class ApInt>
+struct from_string_converter
+{
+ typedef typename ApInt::digit_type digit_type;
+ typedef typename ApInt::size_type size_type;
+
+ // detect sign, radix, length
+ template<typename Iter>
+ void detect_properties(Iter& first, Iter last)
+ {
+ detect_properties(first, last,
+ typename std::iterator_traits<Iter>::iterator_category());
+ }
+
+ // as above, additionally it checks if the number prefix is formatted
+ // according to the flags
+ template<typename Iter>
+ void detect_properties(Iter& first, Iter last, std::ios_base::fmtflags f);
+
+ // manual radix parameter for radices 2-64
+ template<typename Iter>
+ void convert(ApInt& x, Iter first, Iter last, unsigned radix) const
+ {
+ assert(x.is_uninitialized());
+ if (first != last)
+ convert(x, first, last, radix,
+ typename std::iterator_traits<Iter>::iterator_category());
+ }
+
+ // use the detected radix, can only be 8, 10 or 16
+ template<typename Iter>
+ void convert(ApInt& x, Iter first, Iter last) const
+ {
+ convert(x, first, last, radix);
+ }
+
+ template<typename InputIter>
+ void convert(ApInt& x, InputIter c) const;
+
+ // converts the string [first, last) to digits one at a time beginning with
+ // the most significant digit, works only for power of two radices
+ template<typename Iter>
+ digit_type get_next_digit(Iter& first, Iter last) const;
+
+ static bool is_power_of_two(unsigned radix)
+ {
+ return (radix & (radix - 1)) == 0;
+ }
+
+ // properties
+ std::size_t total_length;
+ unsigned prefix_length;
+ std::size_t length; // = total_length - prefix_length
+ unsigned radix;
+ bool is_positive; // do we have a '-' as first character?
+
+private:
+
+ typedef sc_constants<ApInt> sc_type;
+ typedef typename ApInt::traits_type::ops_type ops_type;
+
+ static const unsigned radix_bits = ApInt::traits_type::radix_bits;
+
+ enum error_t
+ {
+ err_invalid_char,
+ err_bad_prefix,
+ err_no_number_after_prefix,
+ err_no_number_after_sign,
+ err_no_error
+ };
+
+ template<typename charT>
+ static digit_type ascii_to_value(charT c);
+
+ template<typename RandomAccessIterator>
+ void detect_properties(RandomAccessIterator& first,
+ RandomAccessIterator last,
+ std::random_access_iterator_tag);
+
+ template<typename InputIterator>
+ void detect_properties(InputIterator& first,
+ InputIterator last,
+ std::input_iterator_tag);
+
+ template<typename RandomAccessIterator>
+ void convert(ApInt& x,
+ RandomAccessIterator first, RandomAccessIterator last,
+ unsigned radix,
+ std::random_access_iterator_tag) const;
+
+ template<typename InputIterator>
+ void convert(ApInt& x,
+ InputIterator first, InputIterator last,
+ unsigned radix,
+ std::input_iterator_tag) const;
+
+ template<typename Iter>
+ void convert_pow2_radix(
+ ApInt& x, Iter first, Iter last, unsigned radix, const sc_type& sc) const
+ {
+ convert_pow2_radix(x, first, last, radix, sc,
+ typename std::iterator_traits<Iter>::iterator_category());
+ }
+
+ template<typename Iter>
+ void convert_other_radix(ApInt& x,
+ Iter first, Iter last,
+ unsigned radix,
+ const sc_type& sc) const
+ {
+ convert_other_radix(x, first, last, radix, sc,
+ typename std::iterator_traits<Iter>::iterator_category());
+ }
+
+ template<typename RandomAccessIterator>
+ void convert_pow2_radix(ApInt& x,
+ RandomAccessIterator first, RandomAccessIterator last,
+ unsigned radix,
+ const sc_type& sc,
+ std::random_access_iterator_tag) const;
+
+ template<typename RandomAccessIterator>
+ void convert_other_radix(ApInt& x,
+ RandomAccessIterator first, RandomAccessIterator last,
+ unsigned radix,
+ const sc_type& sc,
+ std::random_access_iterator_tag) const;
+
+ template<typename InputIterator>
+ void convert_pow2_radix(ApInt& x,
+ InputIterator first, InputIterator last,
+ unsigned radix,
+ const sc_type& sc,
+ std::input_iterator_tag) const;
+
+ template<typename InputIterator>
+ void convert_other_radix(ApInt& x,
+ InputIterator first, InputIterator last,
+ unsigned radix,
+ const sc_type& sc,
+ std::input_iterator_tag) const;
+};
+
+
+template<class ApInt>
+template<typename charT>
+inline
+typename ApInt::digit_type
+from_string_converter<ApInt>::ascii_to_value(charT c)
+{
+ switch (c)
+ {
+ case '0': case '1': case '2': case '3': case '4':
+ case '5': case '6': case '7': case '8': case '9':
+ c = c - '0';
+ break;
+ case 'A': case 'B': case 'C': case 'D': case 'E': case 'F':
+ c = c - 'A' + 10;
+ break;
+ case 'a': case 'b': case 'c': case 'd': case 'e': case 'f':
+ c = c - 'a' + 10;
+ }
+ return static_cast<digit_type>(c);
}
-// low level from string conversion routine
-// Requires:
-// - size_ = 0
-// - first and last must point into string without sign prefix and without base
-// prefix (like 0x)
-// - radix is 8, 10 or 16
-template<class A, class T>
-template<typename Iter>
-void mp_int<A,T>::from_string(Iter first, Iter last, unsigned radix)
+
+// pre: first <= last
+template<class ApInt>
+template<typename RandomAccessIterator>
+void from_string_converter<ApInt>::
+detect_properties(RandomAccessIterator& first, RandomAccessIterator last,
+ std::random_access_iterator_tag)
{
- assert(size_ == 0);
- assert(first != last);
+ const RandomAccessIterator beg = first;
- const detail::string_conversion_constants<mp_int> sc(radix);
+ detect_properties(first, last, std::input_iterator_tag());
- const size_type length = std::distance(first, last);
+ total_length = std::distance(beg, last);
+ prefix_length = std::distance(beg, first);
+ length = total_length - prefix_length;
+};
+
+// pre: first <= last
+template<class ApInt>
+template<typename InputIterator>
+void from_string_converter<ApInt>::
+detect_properties(InputIterator& first, InputIterator last,
+ std::input_iterator_tag)
+{
+ if (first == last)
+ {
+ is_positive = true;
+ return;
+ }
- static const char* inv_msg = "mp_int<>::from_string: invalid character";
-
- const bool is_power_of_two = (radix & (radix - 1)) == 0;
- if (is_power_of_two)
+ if (*first == '-')
{
- const size_type required =
- (length * sc.radix_storage_bits + (valid_bits - 1)) / valid_bits;
- grow_capacity(required);
+ ++first;
+ is_positive = false;
+ }
+ else
+ {
+ if (*first == '+')
+ ++first;
+ is_positive = true;
+ }
- digit_type result = 0;
- int offset = 0;
-
- typedef std::reverse_iterator<Iter> reverse_iter_type;
- for (reverse_iter_type c(last); c != reverse_iter_type(first); ++c)
- {
- const digit_type x = static_cast<digit_type>(detail::ascii_to_value(*c));
-
- if (x >= radix)
- throw std::invalid_argument(inv_msg);
-
- result |= x << offset;
- offset += sc.radix_storage_bits;
-
- if (offset >= valid_bits)
+ // detect the radix
+ if (first != last)
+ {
+ if (*first == '0') // octal
+ {
+ ++first;
+ if (first != last && (*first == 'x' || *first == 'X')) // hex
{
- push(result);
- offset -= valid_bits;
- result = static_cast<digit_type>(x >> (sc.radix_storage_bits - offset));
+ radix = 16;
+ ++first;
+ }
+ else
+ {
+ radix = 8;
+ --first; // keep the zero, necessary for int_type("0")
}
}
-
- if (result || is_uninitialized())
- push(result);
-
- clamp();
+ else // decimal
+ radix = 10;
+ }
+ else
+ throw std::invalid_argument(
+ "from_string_converter::detect_properties: malformed string");
+};
+
+template<class ApInt>
+template<typename Iter>
+void from_string_converter<ApInt>::
+detect_properties(Iter& first, Iter last, std::ios_base::fmtflags f)
+{
+ total_length = std::distance(first, last);
+
+ if (first == last)
+ return;
- if (!*this)
- set_sign(1);
+ const Iter beg = first;
+
+ if (*first == '-')
+ {
+ is_positive = false;
+ ++first;
}
- else // radix can only be 10 at this point
+ else
{
- size_type required;
- // approximate log2(10) with 10/3
- if (length < std::numeric_limits<size_type>::max()/10U)
- required = (10U * length + 2U) / 3U;
+ if (f & std::ios_base::showpos)
+ {
+ if (*first == '+')
+ ++first;
+ else
+ throw std::invalid_argument(
+ "from_string_converter::detect_properties: expected a '+' sign");
+ }
+ is_positive = true;
+ }
+
+ // TODO should uppercase also mean that hex prefix must be 0X?
+ //const bool uppercase = f & std::ios_base::uppercase;
+ const bool showbase = f & std::ios_base::showbase;
+
+ bool bad_prefix = false;
+
+ if (f & std::ios_base::hex)
+ {
+ if (showbase)
+ {
+ if (*first == '0')
+ ++first;
+ else
+ bad_prefix = true;
+ if (*first == 'x' || *first == 'X')
+ ++first;
+ else
+ bad_prefix = true;
+ }
+ radix = 16;
+ }
+ else if (f & std::ios_base::oct)
+ {
+ if (showbase)
+ {
+ if (*first != '0') // keep the zero, necessary for int_type("0")
+ bad_prefix = true;
+ }
+ radix = 8;
+ }
+ else if (f & std::ios_base::dec)
+ radix = 10;
+ else
+ throw std::invalid_argument(
+ "from_string_converter::detect_properties: unknown radix");
+
+ if (bad_prefix)
+ throw std::invalid_argument(
+ "from_string_converter::detect_properties: bad radix prefix");
+
+ prefix_length = std::distance(beg, first);
+ length = total_length - prefix_length;
+}
+
+template<class ApInt>
+template<typename RandomAccessIterator>
+void
+from_string_converter<ApInt>::
+convert_pow2_radix(ApInt& x,
+ RandomAccessIterator first, RandomAccessIterator last,
+ unsigned radix,
+ const sc_type& sc,
+ std::random_access_iterator_tag) const
+{
+ digit_type result = 0;
+ int offset = 0;
+
+ typedef std::reverse_iterator<RandomAccessIterator> reverse_iter_type;
+ for (reverse_iter_type c(last); c != reverse_iter_type(first); ++c)
+ {
+ const digit_type y = static_cast<digit_type>(ascii_to_value(*c));
+
+ if (y >= radix)
+ throw std::invalid_argument("inv_msg");
+
+ result |= y << offset;
+ offset += sc.radix_storage_bits();
+
+ if (offset >= static_cast<int>(radix_bits))
+ {
+ x.push(result);
+ offset -= radix_bits;
+ result = static_cast<digit_type>(y >> (sc.radix_storage_bits() - offset));
+ }
+ }
+
+ if (result || x.is_uninitialized())
+ x.push(result);
+
+ x.clamp();
+}
+
+template<class ApInt>
+template<typename RandomAccessIterator>
+void
+from_string_converter<ApInt>::
+convert_other_radix(ApInt& x,
+ RandomAccessIterator first, RandomAccessIterator last,
+ unsigned radix,
+ const sc_type& sc,
+ std::random_access_iterator_tag) const
+{
+ for (size_type i = sc.max_exponent(); i < length; i += sc.max_exponent())
+ {
+ digit_type result = 0U;
+
+ // first convert a block of decimal digits to radix 10^sc.max_exponent
+ // which will still fit into a digit_type
+ for (unsigned int j = 0; j < sc.max_exponent(); ++j)
+ {
+ const digit_type y = *first++ - '0';
+ if (y >= 10U)
+ throw std::invalid_argument("inv_msg");
+ result = result * 10U + y;
+ }
+
+ // then use multi precision routines to convert this digit to binary
+ if (x.is_initialized())
+ {
+ digit_type carry =
+ ops_type::multiply_by_digit(x.digits(),
+ x.digits(), x.size(),
+ sc.max_power_value());
+
+ carry += ops_type::add_single_digit(x.digits(),
+ x.digits(), x.size(),
+ result);
+
+ if (carry)
+ x.push(carry);
+ }
else
- required = length / 3U * 10U;
- required = (required + (valid_bits - 1)) / valid_bits;
-
- grow_capacity(required);
+ x.push(result);
+ }
+
+ // one last round for the remaining decimal digits
+ if (first != last)
+ {
+ digit_type radix_power = 1U;
+ digit_type result = 0U;
- for (size_type i = sc.max_power; i < length; i += sc.max_power)
+ while (first != last)
{
- digit_type result = 0U;
+ const digit_type y = *first++ - '0';
+ if (y >= 10U)
+ throw std::invalid_argument("inv_msg");
+ result = result * 10U + y;
+ radix_power *= 10U;
+ }
- // first convert a block of decimal digits to radix 10^sc.max_power
- // which will still fit into a digit_type
- for (unsigned int j = 0; j < sc.max_power; ++j)
- {
- const digit_type x = *first++ - '0';
- if (x >= 10U)
- throw std::invalid_argument(inv_msg);
- result = result * 10U + x;
- }
+ if (x.size())
+ {
+ digit_type carry =
+ ops_type::multiply_by_digit(x.digits(), x.digits(), x.size(),
+ static_cast<digit_type>(radix_power));
+
+ carry += ops_type::add_single_digit(x.digits(),
+ x.digits(), x.size(),
+ result);
- // then use multi precision routines to convert this digit to binary
- if (size_)
- {
- digit_type carry = ops_type::multiply_by_digit(digits_, digits_, size_,
- sc.max_power_value);
+ if (carry)
+ x.push(carry);
+ }
+ else
+ x.push(result);
+ }
+}
- carry += ops_type::add_single_digit(digits_, digits_, size_, result);
-
- if (carry)
- push(carry);
- }
- else
- push(result);
+template<class ApInt>
+template<typename InputIterator>
+void
+from_string_converter<ApInt>::
+convert_pow2_radix(ApInt& x,
+ InputIterator first, InputIterator last,
+ unsigned radix,
+ const sc_type& sc,
+ std::input_iterator_tag) const
+{
+ digit_type result = 0;
+ int offset = 0;
+ size_type bits_read = 0;
+
+ for (; first != last; ++first)
+ {
+ const digit_type y = static_cast<digit_type>(ascii_to_value(*first));
+
+ if (y >= radix)
+ throw std::invalid_argument("inv_msg");
+
+ result |= y << offset;
+ offset += sc.radix_storage_bits();
+
+ if (offset >= static_cast<int>(radix_bits))
+ {
+ x.push(result);
+ offset -= radix_bits;
+ result = static_cast<digit_type>(y >> (sc.radix_storage_bits() - offset));
}
- // one last round for the remaining decimal digits
- if (first != last)
+ bits_read += sc.radix_storage_bits();
+ }
+
+ if (result || x.is_uninitialized())
+ x.push(result);
+
+ // right shift bits and reverse the digits
+ const size_type n = bits_read % radix_bits;
+
+ if (n)
+ {
+ const size_type shift = radix_bits - n;
+ const digit_type mask = (digit_type(1) << n) - 1;
+ typename ApInt::iterator b = x.begin();
+ typename ApInt::iterator e = x.end();
+
+ if (b == e)
{
- digit_type radix_power = 1U;
- digit_type result = 0U;
-
- while (first != last)
- {
- const digit_type x = *first++ - '0';
- if (x >= 10U)
- throw std::invalid_argument(inv_msg);
- result = result * 10U + x;
- radix_power *= 10U;
- }
-
- if (size_)
- {
- digit_type carry = ops_type::multiply_by_digit(digits_, digits_, size_,
- static_cast<digit_type>(radix_power));
+ x[0] >>= shift;
+ return;
+ }
- carry += ops_type::add_single_digit(digits_, digits_, size_, result);
+ --e;
+ digit_type carry1 = 0;
- if (carry)
- push(carry);
- }
- else
- push(result);
+ while (b < e)
+ {
+ const digit_type c1 = *b & mask;
+ digit_type d1 = (*b >> n) | (carry1 << shift);
+ carry1 = c1;
+
+ const digit_type carry2 = *(e-1) & mask;
+ digit_type d2 = (*e >> n) | (carry2 << shift);
+
+ *b = d2;
+ *e = d1;
+
+ ++b;
+ --e;
}
+
+ // if the number of digits is odd, we need to shift the digit in the middle
+ if (x.size() & 1)
+ *b = (*b >> n) | (carry1 << shift);
}
+ else
+ std::reverse(x.begin(), x.end());
+
+ x.clamp();
}
+template<class ApInt>
+template<typename RandomAccessIterator>
+void
+from_string_converter<ApInt>::
+convert(ApInt& x,
+ RandomAccessIterator first, RandomAccessIterator last,
+ unsigned radix,
+ std::random_access_iterator_tag) const
+{
+ const sc_type sc(radix);
+
+ //static const char* inv_msg =
+ // "from_string_converter::convert: invalid character";
-namespace detail
+ if (is_power_of_two(radix))
+ {
+ const size_type required =
+ (length * sc.radix_storage_bits() + (radix_bits - 1)) / radix_bits;
+
+ x.reserve(required);
+
+ convert_pow2_radix(x, first, last, radix, sc);
+ }
+ else
+ {
+ size_type required;
+
+ // approximate log2(10) = 3.32192809488736234787 with 10/3
+ if (length < std::numeric_limits<size_type>::max() / 10U)
+ required = (10U * length + 2U) / 3U;
+ else
+ required = length / 3U * 10U;
+
+ required = (required + (radix_bits - 1)) / radix_bits;
+
+ x.reserve(required);
+
+ convert_other_radix(x, first, last, radix, sc);
+ }
+}
+
+
+template<class ApInt, bool is_signed = ApInt::is_signed>
+struct sign_prefix;
+
+template<class ApInt> struct sign_prefix<ApInt,false>
+{
+ template<typename OutputIter>
+ static void write(const ApInt&, std::ios_base::fmtflags f, OutputIter& c)
+ {
+ if (f & std::ios_base::showpos)
+ *c++ = '+';
+ }
+};
+
+template<class ApInt> struct sign_prefix<ApInt,true>
+{
+ template<typename OutputIter>
+ static void write(const ApInt& x, std::ios_base::fmtflags f, OutputIter& c)
+ {
+ if (x.is_negative())
+ *c++ = '-';
+ else if (f & std::ios_base::showpos)
+ *c++ = '+';
+ }
+};
+
+
+template<class ApInt>
+struct to_string_converter
{
- template<typename T, class Alloc>
- struct scoped_ptr : Alloc
+ typedef typename ApInt::size_type size_type;
+ typedef typename ApInt::digit_type digit_type;
+ typedef typename ApInt::traits_type::ops_type ops_type;
+
+ template<typename OutputIter>
+ void convert(const ApInt& x, std::ios_base::fmtflags f, OutputIter c);
+
+ template<class StringT>
+ void convert(StringT&, const ApInt& x, std::ios_base::fmtflags f);
+
+ static bool is_power_of_two(unsigned radix)
{
- T* ptr;
- std::size_t size;
- explicit scoped_ptr(std::size_t s) : size(s) { ptr = this->allocate(size); }
- ~scoped_ptr() { this->deallocate(ptr,size); }
+ return (radix & (radix - 1)) == 0;
+ }
+
+ unsigned int radix;
+ size_type total_bits_; // precision of the integer we're converting
+ size_type prefix_length_;
+ size_type number_length_;
+ size_type total_length_;
+
+ enum error_t
+ {
+ err_unsupported_radix,
+ err_out_of_memory,
+ err_no_error
};
-}
+ error_t err;
-// TODO use an output iterator then we can easily output to different string
-// types. But keep a high level to_string function to allocate string memory
-// only once.
-template<class A, class T>
-template<class StringT>
-StringT mp_int<A,T>::to_string(std::ios_base::fmtflags f) const
+ void check_fmtflags(std::ios_base::fmtflags f);
+
+private:
+
+ typedef sc_constants<ApInt> sc_type;
+
+ static const unsigned radix_bits = ApInt::traits_type::radix_bits;
+
+ static const char* const lowercase_tab_;
+ static const char* const uppercase_tab_;
+ const char* tab_;
+
+ template<typename OutputIter>
+ static void write_sign_prefix(const ApInt& x, std::ios_base::fmtflags f, OutputIter& c)
+ {
+ sign_prefix<ApInt>::write(x, f, c);
+ }
+
+ template<typename OutputIter>
+ void write_radix_prefix(std::ios_base::fmtflags f, OutputIter& c);
+
+ template<typename OutputIter>
+ void convert_pow2_radix(const ApInt& x, const sc_type& sc, OutputIter& c) const;
+
+ template<typename OutputIter>
+ void convert_other_radix(const ApInt& x, const sc_type& sc, OutputIter& c) const;
+
+ void estimate_number_length(const ApInt& x,
+ const sc_type& sc);
+};
+
+
+template<class ApInt>
+const char* const
+to_string_converter<ApInt>::lowercase_tab_ = "0123456789abcdef";
+
+template<class ApInt>
+const char* const
+to_string_converter<ApInt>::uppercase_tab_ = "0123456789ABCDEF";
+
+
+template<class ApInt>
+void
+to_string_converter<ApInt>::
+estimate_number_length(const ApInt& x,
+ const sc_type& sc)
{
- typedef typename StringT::value_type char_type;
+ total_bits_ = x.precision();
- StringT s;
+ // round up to a multiple of sc.radix_storage_bits
+ if (total_bits_ % sc.radix_storage_bits())
+ total_bits_ = total_bits_ - total_bits_ % sc.radix_storage_bits()
+ + sc.radix_storage_bits();
+
+ if (is_power_of_two(radix))
+ number_length_ = (total_bits_ + (sc.radix_storage_bits() - 1))
+ / sc.radix_storage_bits();
+ // approximate log2(10) with 13/4 = 3.25
+ else if (total_bits_ < std::numeric_limits<size_type>::max() / 4)
+ number_length_ = (total_bits_ * 4 + 12) / 13;
+ else
+ number_length_ = total_bits_ / 13 * 4;
- if (is_uninitialized())
- return s;
+ total_length_ = number_length_ + prefix_length_;
+}
- digit_type radix;
+template<class ApInt>
+void
+to_string_converter<ApInt>::check_fmtflags(std::ios_base::fmtflags f)
+{
+ prefix_length_ = f & std::ios_base::showbase ? 1 : 0;
if (f & std::ios_base::hex)
+ {
radix = 16;
+ if (f & std::ios_base::showbase)
+ prefix_length_ += 2;
+ }
else if (f & std::ios_base::oct)
+ {
radix = 8;
+ if (f & std::ios_base::showbase)
+ prefix_length_ += 1;
+ }
else if (f & std::ios_base::dec)
radix = 10;
else
- throw std::invalid_argument("mp_int<>::to_string: unsupported radix");
+ err = err_unsupported_radix;
- char_type prefix[3];
- char_type* p = prefix;
-
- if (is_negative())
- *p++ = '-';
- else if (f & std::ios_base::showpos)
- *p++ = '+';
+ if (f & std::ios_base::uppercase)
+ tab_ = uppercase_tab_;
+ else
+ tab_ = lowercase_tab_;
+}
+template<class ApInt>
+template<typename OutputIter>
+void
+to_string_converter<ApInt>::
+write_radix_prefix(std::ios_base::fmtflags f, OutputIter& c)
+{
if (f & std::ios_base::showbase)
{
if (radix == 16)
{
- *p++ = '0';
+ *c++ = '0';
if (f & std::ios_base::uppercase)
- *p++ = 'X';
+ *c++ = 'X';
else
- *p++ = 'x';
+ *c++ = 'x';
}
else if (radix == 8)
- *p++ = '0';
+ *c++ = '0';
}
+}
+
+template<class ApInt>
+template<typename OutputIter>
+void
+to_string_converter<ApInt>::
+convert_pow2_radix(const ApInt& x, const sc_type& sc, OutputIter& c) const
+{
+ const digit_type mask = (digit_type(1) << sc.radix_storage_bits()) - 1;
- const int prefix_offset = p - prefix;
+ int offset = total_bits_ % radix_bits;
+ if (!offset)
+ offset = radix_bits;
- if (!*this)
+ typename ApInt::const_reverse_iterator d = x.rbegin();
+ for (;;)
{
- s.reserve(prefix_offset + 1);
- for (int i = 0; i < prefix_offset; ++i)
- s.push_back(prefix[i]);
- if (!(f & std::ios_base::oct))
- s.push_back('0');
- return s;
- }
+ offset -= sc.radix_storage_bits();
+
+ while (offset >= 0)
+ {
+ *c++ = tab_[(*d >> offset) & mask];
+ offset -= sc.radix_storage_bits();
+ }
- const detail::string_conversion_constants<mp_int> sc(radix);
- const bool is_power_of_two = (radix & (radix - 1)) == 0;
+ const digit_type partial_value = (*d << -offset) & mask;
- size_type total_bits = precision();
- // round up to a multiple of sc.radix_storage_bits
- if (total_bits % sc.radix_storage_bits)
- total_bits = total_bits - total_bits % sc.radix_storage_bits
- + sc.radix_storage_bits;
-
- size_type required;
- if (is_power_of_two)
- required = (total_bits + (sc.radix_storage_bits - 1))
- / sc.radix_storage_bits;
- // approximate log2(10) with 13/4
- else if (total_bits < std::numeric_limits<size_type>::max() / 4)
- required = (total_bits * 4 + 12) / 13;
- else
- required = total_bits / 13 * 4;
+ if (++d == x.rend())
+ break;
- required += prefix_offset;
- detail::scoped_ptr<char_type, typename StringT::allocator_type> sd(required);
+ offset += radix_bits;
+ *c++ = tab_[partial_value | (*d >> offset)];
+ }
+}
+
+template<class ApInt>
+template<typename OutputIter>
+void
+to_string_converter<ApInt>::
+convert_other_radix(const ApInt& x, const sc_type& sc, OutputIter& c) const
+{
+ ApInt tmp = abs(x);
+
+ while (tmp)
+ {
+ digit_type remainder = ops_type::divide_by_digit(tmp.digits(),
+ tmp.digits(),
+ tmp.size(),
+ sc.max_power_value());
+ tmp.clamp_high_digit();
- char_type* c = sd.ptr;
-
- for (int i = 0; i < prefix_offset; ++i)
- *c++ = prefix[i];
-
- if (is_power_of_two)
- {
- static const char* const lowercase_tab = "0123456789abcdef";
- static const char* const uppercase_tab = "0123456789ABCDEF";
-
- const char* const tab = (f & std::ios_base::uppercase)
- ? uppercase_tab
- : lowercase_tab;
-
- const digit_type mask = (digit_type(1) << sc.radix_storage_bits) - 1;
-
- int offset = total_bits % valid_bits;
- if (!offset)
- offset = valid_bits;
-
- const_reverse_iterator d = rbegin();
- for (;;)
+ for (digit_type i = 0; i < sc.max_exponent(); ++i)
{
- offset -= sc.radix_storage_bits;
- while (offset >= 0)
- {
- *c++ = tab[(*d >> offset) & mask];
- offset -= sc.radix_storage_bits;
- }
- const digit_type partial_value = (*d << -offset) & mask;
- if (++d == rend())
- break;
- offset += valid_bits;
- *c++ = tab[partial_value | (*d >> offset)];
+ if (remainder || tmp)
+ *c++ = static_cast<char>('0' + remainder % 10U);
+ remainder /= 10U;
}
}
+}
+
+template<class ApInt>
+template<typename OutputIter>
+void
+to_string_converter<ApInt>::convert(const ApInt& x,
+ std::ios_base::fmtflags f,
+ OutputIter c)
+{
+ if (x.is_uninitialized())
+ return;
+
+ write_sign_prefix(x, f, c);
+ write_radix_prefix(f, c);
+
+ if (!x)
+ {
+ if (!(f & std::ios_base::oct))
+ *c = '0';
+ return;
+ }
+
+ const sc_type sc(radix);
+
+ if (is_power_of_two(radix))
+ convert_pow2_radix(x, sc, c);
else
{
- digit_type m = 2;
- for (digit_type i = 100; i < sc.max_power_value; i *= 10)
- ++m;
-
- mp_int tmp = abs(*this);
-
- while (tmp)
- {
- digit_type remainder = ops_type::divide_by_digit(tmp.digits(),
- tmp.digits(),
- tmp.size(),
- sc.max_power_value);
- tmp.clamp_high_digit();
+ std::pair<char*, std::ptrdiff_t> buf =
+ std::get_temporary_buffer<char>(number_length_);
- for (digit_type i = 0; i < m; ++i)
- {
- if (remainder || tmp)
- *c++ = static_cast<char_type>('0' + remainder % 10U);
- remainder /= 10U;
- }
+ if (buf.first)
+ {
+ char* ptr = buf.first;
+ convert_other_radix(x, sc, ptr);
+
+ std::reverse_copy(buf.first, ptr, c);
+
+ std::return_temporary_buffer<char>(buf.first);
}
- std::reverse(sd.ptr + prefix_offset, c);
+ else
+ err = err_out_of_memory;
}
+}
+
+template<class ApInt>
+template<class StringT>
+void
+to_string_converter<ApInt>::convert(StringT& s,
+ const ApInt& x,
+ std::ios_base::fmtflags f)
+{
+ check_fmtflags(f);
+
+ const sc_type sc(radix);
- s.assign(sd.ptr, c);
+ estimate_number_length(x, sc);
+ s.reserve(total_length_);
- return s;
+ convert(x, f, std::back_inserter(s));
}
+
+
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/detail/string_conversion_constants.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/detail/string_conversion_constants.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,111 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_DETAIL_STRING_CONVERSION_CONSTANTS_HPP
-#define BOOST_MP_MATH_MP_INT_DETAIL_STRING_CONVERSION_CONSTANTS_HPP
-
-#include <boost/mp_math/mp_int/detail/meta_math.hpp>
-
-namespace boost {
-namespace mp_math {
-namespace detail {
-
-// radix 8, 10, 16
-
-
-template<
- class MpInt,
- typename MpInt::size_type Base,
- typename MpInt::word_type Temp = 1,
- typename MpInt::size_type Count = 0,
- bool continue_loop = (Temp < MpInt::digit_max)
->
-struct max_power_impl
-{
- typedef max_power_impl<MpInt, Base, Temp * Base, Count + 1> result;
- static const typename MpInt::size_type value = result::value;
- static const typename MpInt::digit_type max_value = result::max_value;
-};
-
-template<
- class MpInt,
- typename MpInt::size_type Base,
- typename MpInt::word_type Temp,
- typename MpInt::size_type Count
->
-struct max_power_impl<MpInt, Base, Temp, Count, false>
-{
- static const typename MpInt::size_type value = Count - 1;
- static const typename MpInt::digit_type max_value =
- static_cast<typename MpInt::digit_type>(Temp / Base);
-};
-
-
-template<class MpInt, typename MpInt::size_type Base>
-struct max_power
-{
- // convenience typedef ICEs on VC9 + SP1
- //typedef max_power_impl<MpInt, Base> result;
- static const typename MpInt::size_type value = max_power_impl<MpInt, Base>::value;
- static const typename MpInt::digit_type max_value = max_power_impl<MpInt, Base>::max_value;
-};
-
-
-
-template<class MpInt, unsigned B>
-struct data
-{
- typedef max_power<MpInt, B> x;
- static const typename MpInt::size_type max_power_ = x::value;
- static const typename MpInt::digit_type max_power_value_ = x::max_value;
- static const typename MpInt::size_type radix_storage_bits_ =
- binary_log<typename MpInt::size_type, B - 1>::value;
-};
-
-
-template<class MpInt>
-struct string_conversion_constants
-{
- // maximum power of radix that fits into a digit_type
- typename MpInt::size_type max_power;
- // the corresponding power value (=radix**max_power)
- typename MpInt::digit_type max_power_value;
- // how many bits do we need to store the value radix
- typename MpInt::size_type radix_storage_bits;
-
- explicit string_conversion_constants(unsigned radix)
- {
- switch (radix)
- {
- case 8: *this = data<MpInt, 8>(); break;
- case 10: *this = data<MpInt, 10>(); break;
- case 16: *this = data<MpInt, 16>(); break;
- default:
- throw std::invalid_argument(
- "mp_int<>::string_conversion_constants: unsupported radix used");
- }
- }
-
- template<unsigned B>
- string_conversion_constants& operator = (const data<MpInt, B>&)
- {
- max_power = data<MpInt, B>::max_power_;
- max_power_value = data<MpInt, B>::max_power_value_;
- radix_storage_bits = data<MpInt, B>::radix_storage_bits_;
- return *this;
- }
-};
-
-
-
-
-
-
-} // namespace detail
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Added: sandbox/mp_math/boost/mp_math/integer/detail/unbounded_int_integral.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/unbounded_int_integral.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,788 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_UNBOUNDED_INT_INTEGRAL_OPS_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_UNBOUNDED_INT_INTEGRAL_OPS_HPP
+
+#include <boost/mp_math/integer/detail/base/unbounded_int_integral.hpp>
+#include <boost/mp_math/integer/detail/unbounded_uint_integral.hpp>
+#include <boost/mp_math/integer/unbounded_uint.hpp>
+
+// Here we optimize interaction with built in integral types.
+// This code is even hairier and more subtle.
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+
+template<
+ class UnboundedInt,
+ typename IntegralT,
+ bool is_signed = std::numeric_limits<IntegralT>::is_signed
+>
+struct unbounded_int_integral_ops_impl;
+
+
+// 1)
+template<class UnboundedInt>
+struct unbounded_int_integral_ops_impl<
+ UnboundedInt,
+ typename UnboundedInt::digit_type,
+ false
+>
+{
+ typedef UnboundedInt unbounded_int_type;
+ typedef typename unbounded_int_type::digit_type integral_type;
+ typedef typename unbounded_int_type::traits_type traits_type;
+
+ typedef base::unbounded_int_integral_ops<
+ unbounded_int_type, integral_type
+ > base_type;
+
+ typedef unbounded_uint_integral_ops<
+ unbounded_int_type, integral_type
+ > magnitude_type_integral_ops;
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(1);
+ base_type::assign(lhs, rhs);
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return base_type::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return base_type::less(lhs, rhs);
+ }
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(lhs.size() + 1);
+ base_type::add(lhs, rhs);
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(lhs.size() + 1);
+ base_type::subtract(lhs, rhs);
+ }
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs);
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y);
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_type::divide(lhs, rhs);
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_type::modulo(lhs, rhs);
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_type::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_type::bitwise_and(lhs, rhs);
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_type::bitwise_xor(lhs, rhs);
+ }
+};
+
+
+template<class UnboundedInt>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt, typename UnboundedInt::digit_type, false
+>::multiply(unbounded_int_type& lhs, integral_type rhs)
+{
+ if (rhs == 0)
+ {
+ assign(lhs, integral_type(0));
+ return;
+ }
+ else if (rhs == 1)
+ return;
+
+ lhs.reserve(lhs.size() + 1);
+
+ const integral_type carry =
+ traits_type::ops_type::multiply_by_digit(
+ lhs.digits(), lhs.digits(), lhs.size(), rhs);
+
+ if (carry)
+ lhs.push(carry);
+}
+
+template<class UnboundedInt>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt, typename UnboundedInt::digit_type, false
+>::multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+{
+ if (y == 0)
+ {
+ assign(z, integral_type(0));
+ return;
+ }
+ else if (y == 1)
+ {
+ z = x;
+ return;
+ }
+
+ z.reserve(x.size() + 1);
+
+ const integral_type carry =
+ traits_type::ops_type::multiply_by_digit(
+ z.digits(), x.digits(), x.size(), y);
+
+ z.set_size(x.size());
+ z.set_sign_bit(x.sign_bit());
+
+ if (carry)
+ z.push(carry);
+}
+
+
+// 2)
+template<class UnboundedInt>
+struct unbounded_int_integral_ops_impl<
+ UnboundedInt,
+ typename make_signed<typename UnboundedInt::digit_type>::type,
+ true
+>
+{
+ typedef UnboundedInt unbounded_int_type;
+ typedef typename make_signed<
+ typename unbounded_int_type::digit_type
+ >::type integral_type;
+
+ typedef typename unbounded_int_type::digit_type unsigned_integral_type;
+
+ typedef base::unbounded_int_integral_ops<
+ unbounded_int_type,
+ integral_type
+ > base_integral_ops_type;
+
+ static bool get_sign_bit(integral_type x)
+ {
+ if (x >= 0)
+ return 0;
+ else
+ return 1;
+ }
+
+ static unsigned_integral_type get_absolute(integral_type x)
+ {
+ if (x >= 0)
+ return static_cast<unsigned_integral_type>(x);
+ else
+ return static_cast<unsigned_integral_type>(-x);
+ }
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(1);
+ base_integral_ops_type::assign(lhs, rhs);
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return base_integral_ops_type::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return base_integral_ops_type::less(lhs, rhs);
+ }
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (rhs >= 0)
+ {
+ lhs.reserve(lhs.size() + 1);
+ base::unbounded_int_integral_ops<
+ unbounded_int_type,
+ unsigned_integral_type
+ >::add(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+ else
+ base::unbounded_int_integral_ops<
+ unbounded_int_type,
+ unsigned_integral_type
+ >::subtract(lhs, static_cast<unsigned_integral_type>(-rhs));
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (rhs >= 0)
+ base_integral_ops_type::subtract(lhs, static_cast<unsigned_integral_type>(rhs));
+ else
+ base_integral_ops_type::add(lhs, static_cast<unsigned_integral_type>(-rhs));
+ }
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ unbounded_int_integral_ops_impl<
+ unbounded_int_type,
+ unsigned_integral_type
+ >::multiply(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(lhs.sign_bit() ^ get_sign_bit(rhs));
+ }
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+ {
+ unbounded_int_integral_ops_impl<
+ unbounded_int_type,
+ unsigned_integral_type
+ >::multiply(z, x, get_absolute(y));
+ z.set_sign_bit(x.sign_bit() ^ get_sign_bit(y));
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_integral_ops_type::divide(lhs, rhs);
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_integral_ops_type::modulo(lhs, rhs);
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_integral_ops_type::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_integral_ops_type::bitwise_and(lhs, rhs);
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_integral_ops_type::bitwise_xor(lhs, rhs);
+ }
+};
+
+
+// 3
+template<class UnboundedInt, typename IntegralT>
+struct unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, false
+>
+{
+ typedef UnboundedInt unbounded_int_type;
+ typedef typename unbounded_int_type::traits_type traits_type;
+ typedef IntegralT integral_type;
+ typedef std::numeric_limits<integral_type> integral_type_limits;
+
+ typedef base::unbounded_int_integral_ops<
+ unbounded_int_type, integral_type
+ > base_unbounded_int_integral_ops_type;
+
+ typedef base::unbounded_uint_integral_ops<
+ unbounded_int_type, integral_type
+ > magnitude_type_integral_ops;
+
+ static const unsigned radix_bits = traits_type::radix_bits;
+ static const unsigned max_digit_value = traits_type::max_digit_value;
+
+ static const unsigned q =
+ (integral_type_limits::digits + (radix_bits - 1))
+ / radix_bits;
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(q);
+ magnitude_type_integral_ops::assign(lhs, rhs);
+ lhs.set_sign_bit(0);
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return base_unbounded_int_integral_ops_type::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return base_unbounded_int_integral_ops_type::less(lhs, rhs);
+ }
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(std::max(lhs.size(), q) + 1);
+ base_unbounded_int_integral_ops_type::add(lhs, rhs);
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs)
+ {
+ base_unbounded_int_integral_ops_type::subtract(lhs, rhs);
+ }
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(lhs.size() + q);
+ base_unbounded_int_integral_ops_type::multiply(lhs, rhs);
+ }
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+ {
+ z.reserve(x.size() + q);
+ base_unbounded_int_integral_ops_type::multiply(z, x, y);
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs /= unbounded_int_type(rhs);
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs %= unbounded_int_type(rhs);
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(q);
+ base_unbounded_int_integral_ops_type::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(q);
+ base_unbounded_int_integral_ops_type::bitwise_and(lhs, rhs);
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(q);
+ base_unbounded_int_integral_ops_type::bitwise_xor(lhs, rhs);
+ }
+};
+
+
+template<class UnboundedInt, typename IntegralT>
+const unsigned unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, false>::q;
+
+
+// 4)
+template<class UnboundedInt, typename IntegralT>
+struct unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, true
+>
+{
+ typedef UnboundedInt unbounded_int_type;
+ typedef typename unbounded_int_type::traits_type traits_type;
+ typedef IntegralT integral_type;
+ typedef typename make_unsigned<
+ integral_type
+ >::type unsigned_integral_type;
+
+ typedef base::unbounded_int<traits_type> unbounded_int_base_type;
+
+ typedef unbounded_uint_integral_ops<
+ unbounded_int_type,
+ unsigned_integral_type
+ > unbounded_uint_integral_ops_type;
+
+ typedef base::unbounded_int_integral_ops<
+ unbounded_int_type,
+ integral_type
+ > base_unbounded_int_integral_ops_type;
+
+ typedef std::numeric_limits<integral_type> integral_type_limits;
+ static const unsigned radix_bits = traits_type::radix_bits;
+ static const unsigned max_digit_value = traits_type::max_digit_value;
+
+ static const unsigned q =
+ (integral_type_limits::digits + (radix_bits - 1))
+ / radix_bits;
+
+ static bool get_sign_bit(integral_type x)
+ {
+ if (x >= 0)
+ return 0;
+ else
+ return 1;
+ }
+
+ static unsigned_integral_type get_absolute(integral_type x)
+ {
+ if (x >= 0)
+ return static_cast<unsigned_integral_type>(x);
+ else
+ return static_cast<unsigned_integral_type>(-x);
+ }
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ unbounded_uint_integral_ops_type::assign(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(get_sign_bit(rhs));
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return base::unbounded_int_integral_ops<
+ unbounded_int_type, integral_type>::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return base::unbounded_int_integral_ops<
+ unbounded_int_type, integral_type>::less(lhs, rhs);
+ }
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.sign_bit() == get_sign_bit(rhs))
+ unbounded_uint_integral_ops_type::add(lhs, get_absolute(rhs));
+ else
+ subtract_smaller(lhs, get_absolute(rhs), get_sign_bit(rhs));
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs)
+ {
+ if (lhs.sign_bit() != get_sign_bit(rhs))
+ unbounded_uint_integral_ops_type::add(lhs, get_absolute(rhs));
+ else
+ subtract_smaller(lhs, get_absolute(rhs), ~lhs.sign_bit());
+ }
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(lhs.size() + q);
+ base_unbounded_int_integral_ops_type::multiply(lhs, rhs);
+ }
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+ {
+ z.reserve(x.size() + q);
+ base_unbounded_int_integral_ops_type::multiply(z, x, y);
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs /= unbounded_int_type(rhs);
+ //unbounded_uint_integral_ops_type::divide(lhs, get_absolute(rhs));
+ //lhs.set_sign_bit(lhs.sign_bit() ^ get_sign_bit(rhs));
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ lhs %= unbounded_int_type(rhs);
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ unbounded_int_integral_ops_impl<
+ UnboundedInt, unsigned_integral_type
+ >::bitwise_or(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(lhs.sign_bit() | get_sign_bit(rhs));
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ unbounded_int_integral_ops_impl<
+ UnboundedInt, unsigned_integral_type
+ >::bitwise_and(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(lhs.sign_bit() & get_sign_bit(rhs));
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ unbounded_int_integral_ops_impl<
+ UnboundedInt, unsigned_integral_type
+ >::bitwise_xor(lhs, get_absolute(rhs));
+ lhs.set_sign_bit(lhs.sign_bit() ^ get_sign_bit(rhs));
+ }
+
+ static void subtract_smaller(unbounded_int_type& lhs,
+ unsigned_integral_type rhs,
+ bool final_sign);
+};
+
+
+template<class UnboundedInt, typename IntegralT>
+const unsigned unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, true>::q;
+
+
+template<class UnboundedInt, typename IntegralT>
+void
+unbounded_int_integral_ops_impl<
+ UnboundedInt, IntegralT, true
+>::subtract_smaller(unbounded_int_type& lhs,
+ unsigned_integral_type rhs,
+ bool final_sign)
+{
+ static const unsigned radix_bits = traits_type::radix_bits;
+
+ static const unsigned q =
+ (std::numeric_limits<integral_type>::digits + (radix_bits - 1))
+ / radix_bits;
+
+ typedef base::unbounded_uint<traits_type> unbounded_uint_base_type;
+
+ typename traits_type::digit_type tmp_digits[q];
+
+ unbounded_uint_base_type tmp(tmp_digits, q, q);
+
+ base::from_integral_converter<
+ unbounded_uint_base_type, unsigned_integral_type
+ >::convert(tmp, rhs);
+
+ const unbounded_uint_base_type* x;
+ const unbounded_uint_base_type* y;
+
+ if (static_cast<const unbounded_uint_base_type&>(lhs) >= tmp)
+ {
+ x = &lhs;
+ y = &tmp;
+ }
+ else
+ {
+ x = &tmp;
+ y = &lhs;
+ lhs.reserve(tmp.size());
+ lhs.set_sign_bit(final_sign);
+ }
+
+ traits_type::ops_type::sub_smaller_magnitude(
+ lhs.digits(), x->digits(), x->size(),
+ y->digits(), y->size());
+
+ lhs.set_size(x->size());
+ lhs.clamp();
+
+ if (!lhs)
+ lhs.set_sign_bit(0);
+}
+
+
+template<
+ class UnboundedInt,
+ typename IntegralT,
+ bool less_equal =
+ std::numeric_limits<IntegralT>::is_signed ?
+ (
+ std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<
+ typename make_signed<
+ typename UnboundedInt::traits_type::digit_type
+ >::type
+ >::digits
+ ):
+ (
+ std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<
+ typename UnboundedInt::traits_type::digit_type
+ >::digits
+ )
+>
+struct unbounded_int_integral_ops;
+
+
+// Dispatches integral types that fit into a digit_type by casting it to
+// digit_type or signed digit_type and using the specialization at the top.
+template<
+ class UnboundedInt,
+ typename IntegralT
+>
+struct unbounded_int_integral_ops<UnboundedInt,IntegralT,true>
+{
+ BOOST_STATIC_ASSERT(is_integral<IntegralT>::value);
+
+ typedef UnboundedInt unbounded_int_type;
+ typedef IntegralT integral_type;
+ typedef typename unbounded_int_type::traits_type traits_type;
+
+ typedef typename mpl::if_<
+ is_signed<IntegralT>,
+ unbounded_int_integral_ops_impl<
+ unbounded_int_type,
+ typename make_signed<
+ typename unbounded_int_type::digit_type
+ >::type
+ >,
+ unbounded_int_integral_ops_impl<
+ unbounded_int_type,
+ typename unbounded_int_type::digit_type
+ >
+ >::type impl_type;
+
+ typedef typename impl_type::integral_type to_integral_type;
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, static_cast<to_integral_type>(y));
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, static_cast<to_integral_type>(rhs));
+ }
+};
+
+
+template<
+ class UnboundedInt,
+ typename IntegralT
+>
+struct unbounded_int_integral_ops<UnboundedInt,IntegralT,false>
+{
+ BOOST_STATIC_ASSERT(is_integral<IntegralT>::value);
+
+ typedef UnboundedInt unbounded_int_type;
+ typedef IntegralT integral_type;
+ typedef typename unbounded_int_type::traits_type traits_type;
+
+ typedef unbounded_int_integral_ops_impl<
+ unbounded_int_type, integral_type
+ > impl_type;
+
+ static void assign(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, rhs);
+ }
+
+ static bool equal(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_int_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, rhs);
+ }
+
+ static void add(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, rhs);
+ }
+
+ static void subtract(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, rhs);
+ }
+
+ static void multiply(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, rhs);
+ }
+
+ static void multiply(unbounded_int_type& z,
+ const unbounded_int_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, y);
+ }
+
+ static void divide(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, rhs);
+ }
+
+ static void modulo(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, rhs);
+ }
+
+ static void bitwise_or(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, rhs);
+ }
+
+ static void bitwise_xor(unbounded_int_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, rhs);
+ }
+};
+
+
+
+
+
+
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/detail/unbounded_uint_integral.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/detail/unbounded_uint_integral.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,657 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_DETAIL_UNBOUNDED_UINT_INTEGRAL_OPS_HPP
+#define BOOST_MP_MATH_INTEGER_DETAIL_UNBOUNDED_UINT_INTEGRAL_OPS_HPP
+
+#include <boost/mp_math/integer/detail/base/unbounded_uint_integral.hpp>
+
+// Here we optimize interaction with built in integral types.
+// This code is even hairier and more subtle.
+
+namespace boost {
+namespace mp_math {
+namespace detail {
+
+// Generally we will try to dispatch calls to unbounded_uint_integral_ops
+// possibly with a call to reserve() before that. If more optimization is
+// possible by calling reserve() only at certain points inside a function then
+// we reimplement the functionality of the corresponding
+// unbounded_uint_integral_ops function here. That means in any case the
+// functions closely correlate and improvements should be applied to both.
+
+template<
+ class UnboundedUint,
+ typename IntegralT,
+ bool is_signed = std::numeric_limits<IntegralT>::is_signed
+>
+struct unbounded_uint_integral_ops_impl;
+
+
+// 1)
+template<class UnboundedUint>
+struct unbounded_uint_integral_ops_impl<
+ UnboundedUint,
+ typename UnboundedUint::digit_type,
+ false
+>
+{
+ typedef UnboundedUint unbounded_uint_type;
+ typedef typename unbounded_uint_type::traits_type traits_type;
+ typedef typename unbounded_uint_type::digit_type integral_type;
+
+ typedef base::unbounded_uint_integral_ops<
+ base::unbounded_uint<traits_type>,
+ integral_type
+ > base_type;
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(1);
+ base_type::assign(lhs, rhs);
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return base_type::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return base_type::less(lhs, rhs);
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(lhs.size() + 1);
+ base_type::add(lhs, rhs);
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ base_type::subtract(lhs, rhs);
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs);
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y);
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ base_type::divide(lhs, rhs);
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ base_type::modulo(lhs, rhs);
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ base_type::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ base_type::bitwise_and(lhs, rhs);
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ base_type::bitwise_xor(lhs, rhs);
+ }
+};
+
+
+template<class UnboundedUint>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUint, typename UnboundedUint::digit_type, false
+>::multiply(unbounded_uint_type& lhs, integral_type rhs)
+{
+ if (rhs == 0)
+ {
+ assign(lhs, integral_type(0));
+ return;
+ }
+ else if (rhs == 1)
+ return;
+
+ lhs.reserve(lhs.size() + 1);
+
+ const integral_type carry =
+ traits_type::ops_type::multiply_by_digit(
+ lhs.digits(), lhs.digits(), lhs.size(), rhs);
+
+ if (carry)
+ lhs.push(carry);
+}
+
+template<class UnboundedUint>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUint, typename UnboundedUint::digit_type, false
+>::multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+{
+ if (y == 0)
+ {
+ assign(z, integral_type(0));
+ return;
+ }
+ else if (y == 1)
+ {
+ z = x;
+ return;
+ }
+
+ z.reserve(x.size() + 1);
+
+ const integral_type carry =
+ traits_type::ops_type::multiply_by_digit(
+ z.digits(), x.digits(), x.size(), y);
+
+ z.set_size(x.size());
+
+ if (carry)
+ z.push(carry);
+}
+
+
+// 2)
+// just casts to digit_type and dispatches to above specialization
+template<class UnboundedUint>
+struct unbounded_uint_integral_ops_impl<
+ UnboundedUint,
+ typename make_signed<typename UnboundedUint::digit_type>::type,
+ true
+>
+{
+ typedef UnboundedUint unbounded_uint_type;
+ typedef typename unbounded_uint_type::traits_type traits_type;
+ typedef typename make_signed<
+ typename unbounded_uint_type::digit_type
+ >::type integral_type;
+
+ typedef typename unbounded_uint_type::digit_type unsigned_integral_type;
+ typedef unbounded_uint_integral_ops_impl<
+ unbounded_uint_type,
+ unsigned_integral_type
+ > impl_type;
+
+ static unsigned_integral_type get_absolute(integral_type x)
+ {
+ if (x >= 0)
+ return static_cast<unsigned_integral_type>(x);
+ else
+ return static_cast<unsigned_integral_type>(-x);
+ }
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, get_absolute(rhs));
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, get_absolute(rhs));
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, get_absolute(rhs));
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, get_absolute(rhs));
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, get_absolute(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, get_absolute(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, get_absolute(y));
+ }
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, get_absolute(rhs));
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, get_absolute(rhs));
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, get_absolute(rhs));
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, get_absolute(rhs));
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, get_absolute(rhs));
+ }
+};
+
+
+// 3
+template<class UnboundedUint, typename IntegralT>
+struct unbounded_uint_integral_ops_impl<
+ UnboundedUint, IntegralT, false
+>
+{
+ typedef UnboundedUint unbounded_uint_type;
+ typedef typename unbounded_uint_type::traits_type traits_type;
+ typedef IntegralT integral_type;
+ typedef std::numeric_limits<integral_type> integral_type_limits;
+
+ typedef base::unbounded_uint_integral_ops_impl<
+ base::unbounded_uint<traits_type>,
+ integral_type
+ > impl_type;
+
+ static const unsigned radix_bits = traits_type::radix_bits;
+ static const unsigned max_digit_value = traits_type::max_digit_value;
+
+ static const unsigned q =
+ (integral_type_limits::digits + (radix_bits - 1))
+ / radix_bits;
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs);
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, rhs);
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(std::max(lhs.size(), q) + 1);
+ impl_type::add(lhs, rhs);
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, rhs);
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(lhs.size() + q);
+ impl_type::multiply(lhs, rhs);
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+ {
+ z.reserve(x.size() + q);
+ impl_type::multiply(z, x, y);
+ }
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs /= unbounded_uint_type(rhs);
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs %= unbounded_uint_type(rhs);
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(q);
+ impl_type::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(q);
+ impl_type::bitwise_and(lhs, rhs);
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ lhs.reserve(q);
+ impl_type::bitwise_xor(lhs, rhs);
+ }
+};
+
+
+template<class UnboundedUint, typename IntegralT>
+const unsigned unbounded_uint_integral_ops_impl<
+ UnboundedUint, IntegralT, false>::q;
+
+
+template<class UnboundedUint, typename IntegralT>
+void
+unbounded_uint_integral_ops_impl<
+ UnboundedUint, IntegralT, false>::assign(unbounded_uint_type& lhs,
+ integral_type rhs)
+{
+ if (rhs <= max_digit_value)
+ {
+ lhs.reserve(1);
+ lhs[0] = static_cast<typename traits_type::digit_type>(rhs);
+ lhs.set_size(1);
+ }
+ else
+ {
+ lhs.reserve(q);
+
+ base::from_integral_converter<
+ unbounded_uint_type, integral_type
+ >::convert(lhs, rhs);
+ }
+}
+
+
+// 4)
+template<class UnboundedUint, typename IntegralT>
+struct unbounded_uint_integral_ops_impl<
+ UnboundedUint, IntegralT, true
+>
+{
+ typedef UnboundedUint unbounded_uint_type;
+ typedef IntegralT integral_type;
+ typedef typename make_unsigned<integral_type>::type unsigned_integral_type;
+ // this is spec 3
+ typedef unbounded_uint_integral_ops_impl<
+ unbounded_uint_type,
+ unsigned_integral_type
+ > impl_type;
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, static_cast<unsigned_integral_type>(y));
+ }
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, static_cast<unsigned_integral_type>(rhs));
+ }
+};
+
+
+
+
+template<
+ class UnboundedUint,
+ typename IntegralT,
+ bool less_equal =
+ std::numeric_limits<IntegralT>::is_signed ?
+ (
+ std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<
+ typename make_signed<
+ typename UnboundedUint::traits_type::digit_type
+ >::type
+ >::digits
+ ):
+ (
+ std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<
+ typename UnboundedUint::traits_type::digit_type
+ >::digits
+ )
+>
+struct unbounded_uint_integral_ops
+{};
+
+
+// Dispatches integral types that fit into a digit_type by casting it to
+// digit_type or signed digit_type and calling the specializations 1) and 2).
+template<
+ class UnboundedUint,
+ typename IntegralT
+>
+struct unbounded_uint_integral_ops<UnboundedUint,IntegralT,true>
+{
+ BOOST_STATIC_ASSERT(is_integral<IntegralT>::value);
+
+ typedef UnboundedUint unbounded_uint_type;
+ typedef IntegralT integral_type;
+ typedef typename unbounded_uint_type::traits_type traits_type;
+
+ typedef typename mpl::if_<
+ is_signed<IntegralT>,
+ unbounded_uint_integral_ops_impl<
+ unbounded_uint_type,
+ typename make_signed<
+ typename unbounded_uint_type::digit_type
+ >::type
+ >,
+ unbounded_uint_integral_ops_impl<
+ unbounded_uint_type,
+ typename unbounded_uint_type::digit_type
+ >
+ >::type impl_type;
+
+ typedef typename impl_type::integral_type to_integral_type;
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, static_cast<to_integral_type>(y));
+ }
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, static_cast<to_integral_type>(rhs));
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, static_cast<to_integral_type>(rhs));
+ }
+};
+
+
+template<
+ class UnboundedUint,
+ typename IntegralT
+>
+struct unbounded_uint_integral_ops<UnboundedUint,IntegralT,false>
+{
+ BOOST_STATIC_ASSERT(is_integral<IntegralT>::value);
+
+ typedef UnboundedUint unbounded_uint_type;
+ typedef IntegralT integral_type;
+
+ typedef unbounded_uint_integral_ops_impl<
+ unbounded_uint_type, IntegralT
+ > impl_type;
+
+ static void assign(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::assign(lhs, rhs);
+ }
+
+ static bool equal(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::equal(lhs, rhs);
+ }
+
+ static bool less(const unbounded_uint_type& lhs, integral_type rhs)
+ {
+ return impl_type::less(lhs, rhs);
+ }
+
+ static void add(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::add(lhs, rhs);
+ }
+
+ static void subtract(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::subtract(lhs, rhs);
+ }
+
+ static void multiply(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::multiply(lhs, rhs);
+ }
+
+ static void multiply(unbounded_uint_type& z,
+ const unbounded_uint_type& x, integral_type y)
+ {
+ impl_type::multiply(z, x, y);
+ }
+
+ static void divide(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::divide(lhs, rhs);
+ }
+
+ static void modulo(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::modulo(lhs, rhs);
+ }
+
+ static void bitwise_or(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_or(lhs, rhs);
+ }
+
+ static void bitwise_and(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_and(lhs, rhs);
+ }
+
+ static void bitwise_xor(unbounded_uint_type& lhs, integral_type rhs)
+ {
+ impl_type::bitwise_xor(lhs, rhs);
+ }
+};
+
+
+
+
+
+
+} // namespace detail
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/div.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/div.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,149 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-template<class A, class T>
-typename mp_int<A,T>::digit_type
-mp_int<A,T>::divide_by_digit(digit_type b)
-{
- if (b == 0)
- throw std::domain_error("mp_int::divide_by_digit: division by zero");
-
- if (b == 1 || !*this)
- return 0;
-
- const bool is_power_of_two = (b & (b-1)) == 0;
-
- if (!is_power_of_two)
- {
- const digit_type remainder =
- ops_type::divide_by_digit(digits(), digits(), size(), b);
-
- clamp_high_digit();
-
- if (!*this)
- set_sign(1);
-
- return remainder;
- }
-
- int i = 0;
- while ((i < valid_bits) && (b != digit_type(1) << i))
- ++i;
-
- const digit_type remainder = digits_[0] & ((digit_type(1) << i) - 1);
- *this >>= i;
- return remainder;
-}
-
-// *this /= 2
-template<class A, class T>
-void mp_int<A,T>::divide_by_2()
-{
- ops_type::divide_by_two(digits(), digits(), size());
-
- clamp_high_digit();
-
- if (!*this)
- set_sign(1);
-}
-
-// divide by three (based on routine from MPI and the GMP manual)
-template<class A, class T>
-typename mp_int<A,T>::digit_type
-mp_int<A,T>::divide_by_3()
-{
- // b = 2**valid_bits / 3
- const word_type b = (word_type(1) << static_cast<word_type>(valid_bits))
- / word_type(3);
-
- word_type w = 0;
- for (reverse_iterator d = rbegin(); d != rend(); ++d)
- {
- w = (w << static_cast<word_type>(valid_bits)) | static_cast<word_type>(*d);
-
- word_type t;
- if (w >= 3)
- {
- // multiply w by [1/3]
- t = (w * b) >> static_cast<word_type>(valid_bits);
-
- // now subtract 3 * [w/3] from w, to get the remainder
- w -= t+t+t;
-
- // fixup the remainder as required since the optimization is not exact.
- while (w >= 3)
- {
- t += 1;
- w -= 3;
- }
- }
- else
- t = 0;
-
- *d = static_cast<digit_type>(t);
- }
-
- // *this is now the quotient
- // return remainder
- return static_cast<digit_type>(w);
-}
-
-// shift right by a certain bit count
-template<class A, class T>
-void mp_int<A,T>::shift_right(size_type b, mp_int* remainder)
-{
- if (b == 0)
- {
- if (remainder)
- remainder->zero();
- return;
- }
-
- // get the remainder
- mp_int t;
- if (remainder)
- {
- *remainder = *this;
- remainder->modulo_2_to_the_power_of(b);
- }
-
- // shift by as many digits in the bit count
- if (b >= static_cast<size_type>(valid_bits))
- shift_digits_right(b / valid_bits);
-
- // shift any bit count < valid_bits
- const digit_type D = b % valid_bits;
- if (D)
- {
- const digit_type mask = (digit_type(1) << D) - 1;
-
- // shift for lsb
- const digit_type shift = valid_bits - D;
-
- digit_type carry = 0;
- for (reverse_iterator d = rbegin(); d != rend(); ++d)
- {
- // get the lower bits of this word in a temp
- const digit_type rr = *d & mask;
-
- // shift the current word and mix in the carry bits from the previous word
- *d = (*d >> D) | (carry << shift);
-
- // set the carry to the carry bits of the current word found above
- carry = rr;
- }
- }
-
- clamp();
-
- if (!*this)
- set_sign(1);
-}
-
-template<class A, class T>
-void divide(const mp_int<A,T>& x, const mp_int<A,T>& y, mp_int<A,T>& q, mp_int<A,T>& r)
-{
- detail::classic_divide(x, y, q, &r);
-}
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/gcd.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/gcd.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,70 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_GCD_HPP
-#define BOOST_MP_MATH_MP_INT_GCD_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-
-
-namespace boost {
-namespace mp_math {
-
-// Greatest Common Divisor using the binary method
-template<class A, class T>
-mp_int<A,T> gcd(const mp_int<A,T>& a, const mp_int<A,T>& b)
-{
- // either zero then gcd is the largest
- if (!a)
- return abs(b);
- if (!b)
- return abs(a);
-
- // get copies of a and b we can modify
- mp_int<A,T> u = abs(a);
- mp_int<A,T> v = abs(b);
-
- typedef typename mp_int<A,T>::size_type size_type;
-
- // Find the common power of two for u and v
- const size_type u_lsb = u.count_lsb();
- const size_type v_lsb = v.count_lsb();
- const size_type k = std::min(u_lsb, v_lsb);
-
- // divide out powers of two
- u >>= u_lsb;
- v >>= v_lsb;
-
- while (v)
- {
- if (u > v)
- u.swap(v);
-
- v.sub_smaller_magnitude(u);
-
- // Divide out all factors of two
- v >>= v.count_lsb();
- }
-
- // multiply by 2**k which we divided out at the beginning
- u <<= k;
-
- return u;
-}
-
-#ifdef BOOST_HAS_VARIADIC_TMPL
-template<class A, class T, class... MpInts>
-mp_int<A,T> gcd(const mp_int<A,T>& a, const mp_int<A,T>& b, const MpInts&... args)
-{
- return gcd(gcd(a, b), args...);
-}
-#endif
-
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Added: sandbox/mp_math/boost/mp_math/integer/gmp_integer.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/gmp_integer.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,1449 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_GMP_INTEGER_HPP
+#define BOOST_MP_MATH_INTEGER_GMP_INTEGER_HPP
+
+#include <gmp.h>
+#include <boost/config.hpp>
+#include <boost/mp_math/integer/contexts.hpp>
+#include <boost/type_traits/is_integral.hpp>
+#include <boost/utility/enable_if.hpp>
+#include <cstring> // strlen
+#include <iostream>
+#include <limits>
+#include <stdexcept>
+
+namespace boost {
+namespace mp_math {
+
+struct boost_behavior
+{
+ static void bitwise_or(mpz_ptr z, mpz_srcptr x, mpz_srcptr y);
+ static void bitwise_and(mpz_ptr z, mpz_srcptr x, mpz_srcptr y);
+ static void bitwise_xor(mpz_ptr z, mpz_srcptr x, mpz_srcptr y);
+};
+
+
+struct gmp_behavior
+{
+ static void bitwise_or(mpz_ptr z, mpz_srcptr x, mpz_srcptr y)
+ {
+ mpz_ior(z, x, y);
+ }
+
+ static void bitwise_and(mpz_ptr z, mpz_srcptr x, mpz_srcptr y)
+ {
+ mpz_and(z, x, y);
+ }
+
+ static void bitwise_xor(mpz_ptr z, mpz_srcptr x, mpz_srcptr y)
+ {
+ mpz_xor(z, x, y);
+ }
+};
+
+
+template<class Behavior = gmp_behavior>
+class gmp_integer;
+
+
+namespace detail {
+
+template<
+ class B,
+ typename IntegralT,
+ bool IsSigned = std::numeric_limits<IntegralT>::is_signed,
+ bool FitsIntoLongInt =
+ IsSigned ? (std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<signed long int>::digits)
+ : (std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<unsigned long int>::digits)
+>
+struct gmp_integer_integral_ops;
+
+
+template<
+ class B,
+ typename IntegralT
+>
+struct gmp_integer_integral_ops<gmp_integer<B>, IntegralT, false, true>
+{
+ typedef gmp_integer<B> gmp_integer_type;
+ typedef IntegralT integral_type;
+
+ static void init(gmp_integer_type& z, integral_type x)
+ {
+ mpz_init_set_ui(z.get_mpz_t(), x);
+ }
+
+ static void assign(gmp_integer_type& z, integral_type x)
+ {
+ mpz_set_ui(z.get_mpz_t(), x);
+ }
+
+ static bool equal(const gmp_integer_type& z, integral_type x)
+ {
+ return mpz_cmp_ui(z.get_mpz_t(), x) == 0;
+ }
+
+ static bool less(const gmp_integer_type& z, integral_type x)
+ {
+ return mpz_cmp_ui(z.get_mpz_t(), x) < 0;
+ }
+
+ static void add(gmp_integer_type& z, integral_type x)
+ {
+ mpz_add_ui(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void subtract(gmp_integer_type& z, integral_type x)
+ {
+ mpz_sub_ui(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void multiply(gmp_integer_type& z, integral_type x)
+ {
+ mpz_mul_ui(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void divide(gmp_integer_type& z, integral_type x)
+ {
+ mpz_tdiv_q_ui(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void modulo(gmp_integer_type& z, integral_type x)
+ {
+ mpz_mod_ui(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void bitwise_or(gmp_integer_type& z, integral_type x);
+ static void bitwise_and(gmp_integer_type& z, integral_type x);
+ static void bitwise_xor(gmp_integer_type& z, integral_type x);
+};
+
+
+template<
+ class B,
+ typename IntegralT
+>
+struct gmp_integer_integral_ops<gmp_integer<B>, IntegralT, true, true>
+{
+ typedef gmp_integer<B> gmp_integer_type;
+ typedef IntegralT integral_type;
+
+ static void init(gmp_integer_type& z, integral_type x)
+ {
+ mpz_init_set_si(z.get_mpz_t(), x);
+ }
+
+ static void assign(gmp_integer_type& z, integral_type x)
+ {
+ mpz_set_si(z.get_mpz_t(), x);
+ }
+
+ static bool equal(const gmp_integer_type& z, integral_type x)
+ {
+ return mpz_cmp_si(z.get_mpz_t(), x) == 0;
+ }
+
+ static bool less(const gmp_integer_type& z, integral_type x)
+ {
+ return mpz_cmp_si(z.get_mpz_t(), x) < 0;
+ }
+
+ static void add(gmp_integer_type& z, integral_type x)
+ {
+ mpz_add_ui(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void subtract(gmp_integer_type& z, integral_type x)
+ {
+ mpz_sub_ui(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void multiply(gmp_integer_type& z, integral_type x)
+ {
+ mpz_mul_si(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void divide(gmp_integer_type& z, integral_type x)
+ {
+ mpz_tdiv_q_ui(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void modulo(gmp_integer_type& z, integral_type x)
+ {
+ mpz_mod_ui(z.get_mpz_t(), z.get_mpz_t(), x);
+ }
+
+ static void bitwise_or(gmp_integer_type& z, integral_type x);
+ static void bitwise_and(gmp_integer_type& z, integral_type x);
+ static void bitwise_xor(gmp_integer_type& z, integral_type x);
+};
+
+
+template<
+ class B,
+ typename IntegralT,
+ bool IsSigned = std::numeric_limits<IntegralT>::is_signed,
+ bool FitsIntoLongInt =
+ IsSigned ? (std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<signed long int>::digits)
+ : (std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<unsigned long int>::digits)
+>
+struct gmp_integer_to_integral;
+
+
+template<class B, typename IntegralT>
+struct gmp_integer_to_integral<B, IntegralT, false, true>
+{
+ static IntegralT convert(const gmp_integer<B>& x)
+ {
+ return static_cast<IntegralT>(mpz_get_ui(x.get_mpz_t()));
+ }
+};
+
+
+template<class B, typename IntegralT>
+struct gmp_integer_to_integral<B, IntegralT, true, true>
+{
+ static IntegralT convert(const gmp_integer<B>& x)
+ {
+ return static_cast<IntegralT>(mpz_get_si(x.get_mpz_t()));
+ }
+};
+
+
+
+struct gmp_integer_traits
+{
+ typedef mp_limb_t digit_type;
+ typedef std::size_t size_type;
+
+ static const size_type digit_bits = GMP_LIMB_BITS;
+ static const size_type radix_bits = GMP_NUMB_BITS;
+ static const digit_type max_digit_value = GMP_NUMB_MAX;
+};
+
+
+// Same as gmp_allocated_string in gmp-impl.h, but we can't use it because
+// gmp-impl.h is an internal GMP header and is probably not installed.
+extern "C"
+{
+ typedef void (*gmp_free_func)(void *, size_t);
+}
+
+struct gmp_allocated_string
+{
+ char* str;
+ const std::size_t len;
+
+ gmp_allocated_string(char *s)
+ :
+ str(s), len(std::strlen(s) + 1)
+ {}
+
+ ~gmp_allocated_string()
+ {
+ gmp_free_func f;
+ mp_get_memory_functions (0, 0, &f);
+ (*f)(str, len);
+ }
+};
+
+
+
+} // namespace detail
+
+
+// gmp_original or gmp_boost
+// differences: bitwise ops
+template<class Behavior>
+class gmp_integer
+{
+ mpz_t val_;
+
+public:
+
+ static const bool is_signed = true;
+ static const bool is_bounded = false;
+
+ typedef Behavior behavior_type;
+
+ template<typename IntegralT>
+ struct integral_ops
+ :
+ detail::gmp_integer_integral_ops<gmp_integer<Behavior>, IntegralT>
+ {};
+
+ typedef detail::gmp_integer_traits traits_type;
+
+ typedef traits_type::digit_type digit_type;
+ typedef traits_type::size_type size_type;
+
+ typedef digit_type* iterator;
+ typedef const digit_type* const_iterator;
+ typedef std::reverse_iterator<iterator> reverse_iterator;
+ typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
+
+ gmp_integer()
+ {
+ mpz_init(val_);
+ }
+
+ template<typename IntegralT>
+ gmp_integer(IntegralT x,
+ typename enable_if<is_integral<IntegralT> >::type* dummy = 0)
+ {
+ integral_ops<IntegralT>::init(*this, x);
+ }
+
+ gmp_integer(const mpz_t& x)
+ {
+ mpz_init_set(val_, x);
+ }
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ gmp_integer(mpz_t&& x)
+ :
+ val_(x)
+ {}
+ #endif
+
+ explicit gmp_integer(const char* s);
+ explicit gmp_integer(const std::string& s);
+
+ gmp_integer(const char* s, std::ios_base::fmtflags);
+ gmp_integer(const std::string& s, std::ios_base::fmtflags);
+
+ gmp_integer(const gmp_integer& copy)
+ {
+ mpz_init_set(val_, copy.val_);
+ }
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ gmp_integer(gmp_integer&& copy)
+ {
+ val_->_mp_alloc = copy.val_->_mp_alloc;
+ val_->_mp_size = copy.val_->_mp_size;
+ val_->_mp_d = copy.val_->_mp_d;
+ copy.val_->_mp_alloc = 0;
+ copy.val_->_mp_size = 0;
+ copy.val_->_mp_d = 0;
+ }
+ #endif
+
+ ~gmp_integer()
+ {
+ mpz_clear(val_);
+ }
+
+ gmp_integer& operator = (const gmp_integer& rhs)
+ {
+ mpz_set(val_, rhs.val_);
+ return *this;
+ }
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ gmp_integer& operator = (gmp_integer&& rhs)
+ {
+ mpz_clear(val_);
+ swap(rhs);
+ return *this;
+ }
+ #endif
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, gmp_integer&>::type
+ operator = (IntegralT x)
+ {
+ integral_ops<IntegralT>::assign(*this, x);
+ return *this;
+ }
+
+ template<typename charT>
+ gmp_integer& operator = (const charT* s)
+ {
+ if (mpz_set_str(val_, s, 0) == 0)
+ return *this;
+ else
+ throw std::invalid_argument(
+ "boost::mp_math::gmp_integer: operator = (const charT*)");
+ }
+
+ template<typename charT, class traits, class alloc>
+ gmp_integer& operator = (const std::basic_string<charT,traits,alloc>& s)
+ {
+ if (mpz_set_str(val_, s.c_str(), 0) == 0)
+ return *this;
+ else
+ throw std::invalid_argument(
+ "boost::mp_math::gmp_integer: operator = (const charT*)");
+ }
+
+ template<typename charT>
+ void assign(const charT* s, std::ios_base::fmtflags f)
+ {
+ unsigned radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+ if (mpz_set_str(val_, s, radix) == -1)
+ throw std::invalid_argument(
+ "boost::mp_math::gmp_integer::assign: illformatted string)");
+ }
+
+ // TODO dispatch std::string to mpz_set_string, but dispatch other string
+ // types to detail/string_converter? Could do that but would need support for
+ // NAIL bits.
+ template<typename charT, class traits, class alloc>
+ void assign(const std::basic_string<charT,traits,alloc>& s,
+ std::ios_base::fmtflags f)
+ {
+ unsigned radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+ if (mpz_set_str(val_, s.c_str(), radix) == -1)
+ throw std::invalid_argument(
+ "boost::mp_math::gmp_integer::assign: illformatted string)");
+ }
+
+
+ template<typename RandomAccessIterator>
+ void assign(RandomAccessIterator first, RandomAccessIterator last,
+ std::ios_base::fmtflags);
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ void swap(gmp_integer&& other)
+ #else
+ void swap(gmp_integer& other)
+ #endif
+ {
+ mpz_swap(val_, other.val_);
+ }
+
+#ifdef BOOST_NO_EXPLICIT_CONVERSION_OPERATORS
+private:
+
+ typedef mpz_t gmp_integer::*unspecified_bool_type;
+
+public:
+
+ operator unspecified_bool_type() const
+ {
+ return mpz_sgn(val_) ? &gmp_integer::val_ : 0;
+ }
+#else
+ explicit operator bool() const { return static_cast<bool>(mpz_sgn(val_)); }
+#endif
+
+ bool is_even() const { return mpz_even_p(val_); }
+ bool is_odd () const { return mpz_odd_p(val_); }
+
+ bool is_positive() const { return mpz_sgn(val_) >= 0; }
+ bool is_negative() const { return mpz_sgn(val_) < 0; }
+
+ // These two functions use the same signature as GMP's mpz_class
+ mpz_ptr get_mpz_t() { return val_; }
+ mpz_srcptr get_mpz_t() const { return val_; }
+
+ size_type size() const { return mpz_size(val_); }
+
+ digit_type* digits() { return val_->_mp_d; }
+ const digit_type* digits() const { return val_->_mp_d; }
+
+ iterator begin() { return digits(); }
+ iterator end () { return digits(); }
+ const_iterator begin() const { return digits(); }
+ const_iterator end () const { return digits() + size(); }
+ const_iterator cbegin() const { return digits(); }
+ const_iterator cend () const { return digits() + size(); }
+ reverse_iterator rbegin() { return reverse_iterator(end ()); }
+ reverse_iterator rend () { return reverse_iterator(begin()); }
+ const_reverse_iterator rbegin() const { return const_reverse_iterator(end ()); }
+ const_reverse_iterator rend () const { return const_reverse_iterator(begin()); }
+ const_reverse_iterator crbegin() const { return const_reverse_iterator(end ()); }
+ const_reverse_iterator crend () const { return const_reverse_iterator(begin()); }
+
+ digit_type& operator [] (size_type i) { return val_->_mp_d[i]; }
+ const digit_type& operator [] (size_type i) const { return val_->_mp_d[i]; }
+
+ gmp_integer& operator ++() { mpz_add_ui(val_, val_, 1); return *this; }
+ gmp_integer& operator --() { mpz_sub_ui(val_, val_, 1); return *this; }
+
+ gmp_integer operator ++(int)
+ {
+ gmp_integer tmp;
+ mpz_add_ui(tmp.val_, val_, 1);
+ return tmp;
+ }
+
+ gmp_integer operator --(int)
+ {
+ gmp_integer tmp;
+ mpz_sub_ui(tmp.val_, val_, 1);
+ return tmp;
+ }
+
+ gmp_integer& operator <<= (size_type n)
+ {
+ mpz_mul_2exp(val_, val_, n);
+ return *this;
+ }
+
+ gmp_integer& operator >>= (size_type n)
+ {
+ mpz_tdiv_q_2exp(val_, val_, n);
+ return *this;
+ }
+
+ gmp_integer& operator - () { mpz_neg(val_, val_); return *this; }
+
+ gmp_integer& operator ~ () { mpz_cmp(val_, val_); return *this; }
+
+ gmp_integer& operator += (const gmp_integer& rhs)
+ {
+ mpz_add(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ gmp_integer& operator -= (const gmp_integer& rhs)
+ {
+ mpz_sub(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ gmp_integer& operator *= (const gmp_integer& rhs)
+ {
+ mpz_mul(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ gmp_integer& operator /= (const gmp_integer& rhs)
+ {
+ mpz_tdiv_q(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ gmp_integer& operator %= (const gmp_integer& rhs)
+ {
+ mpz_tdiv_r(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ gmp_integer& operator |= (const gmp_integer& rhs)
+ {
+ behavior_type::bitwise_or(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ gmp_integer& operator &= (const gmp_integer& rhs)
+ {
+ behavior_type::bitwise_and(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ gmp_integer& operator ^= (const gmp_integer& rhs)
+ {
+ behavior_type::bitwise_xor(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, gmp_integer&>::type
+ operator += (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, gmp_integer&>::type
+ operator -= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, gmp_integer&>::type
+ operator *= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, gmp_integer&>::type
+ operator /= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, gmp_integer&>::type
+ operator %= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, gmp_integer&>::type
+ operator |= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, gmp_integer&>::type
+ operator &= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, gmp_integer&>::type
+ operator ^= (IntegralT);
+
+ template<typename IntegralT>
+ IntegralT to_integral() const
+ {
+ return detail::gmp_integer_to_integral<behavior_type, IntegralT>::
+ convert(*this);
+ }
+
+ template<class StringT>
+ StringT to_string(std::ios_base::fmtflags f = std::ios_base::fmtflags()) const
+ {
+ int radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+
+ const detail::gmp_allocated_string tmp(mpz_get_str(0, radix, val_));
+ return StringT(tmp.str, tmp.str + tmp.len - 1);
+ }
+};
+
+
+template<class B>
+gmp_integer<B>::gmp_integer(const char* s)
+{
+ if (*s != '\0')
+ {
+ if (mpz_init_set_str(val_, s, 0))
+ {
+ if (val_->_mp_d)
+ mpz_clear(val_);
+ throw std::invalid_argument(
+ "boost::mp_math::gmp_integer::gmp_integer(const char*)");
+ }
+ }
+ else
+ mpz_init(val_);
+}
+
+template<class B>
+gmp_integer<B>::gmp_integer(const char* s, std::ios_base::fmtflags f)
+{
+ unsigned radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+
+ if (*s != '\0')
+ {
+ if (mpz_init_set_str(val_, s, radix))
+ {
+ if (val_->_mp_d)
+ mpz_clear(val_);
+ throw std::invalid_argument(
+ "boost::mp_math::gmp_integer::"
+ "gmp_integer(const char*, std::ios_base::fmtflags)");
+ }
+ }
+ else
+ mpz_init(val_);
+}
+
+template<class B>
+gmp_integer<B>::gmp_integer(const std::string& s)
+{
+ if (!s.empty())
+ {
+ if (mpz_init_set_str(val_, s.c_str(), 0))
+ {
+ if (val_->_mp_d)
+ mpz_clear(val_);
+ throw std::invalid_argument(
+ "boost::mp_math::gmp_integer::gmp_integer(const std::string&)");
+ }
+ }
+ else
+ mpz_init(val_);
+}
+
+template<class B>
+gmp_integer<B>::gmp_integer(const std::string& s, std::ios_base::fmtflags f)
+{
+ unsigned radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+
+ if (!s.empty())
+ {
+ if (mpz_init_set_str(val_, s.c_str(), radix))
+ {
+ if (val_->_mp_d)
+ mpz_clear(val_);
+ throw std::invalid_argument(
+ "boost::mp_math::gmp_integer::"
+ "gmp_integer(const std::string&, std::ios_base::fmtflags)");
+ }
+ }
+ else
+ mpz_init(val_);
+}
+
+template<class B>
+inline void swap(gmp_integer<B>& lhs, gmp_integer<B>& rhs)
+{
+ lhs.swap(rhs);
+}
+
+#ifndef BOOST_NO_RVALUE_REFERENCES
+template<class B>
+inline void swap(gmp_integer<B>&& lhs, gmp_integer<B>& rhs)
+{
+ lhs.swap(rhs);
+}
+template<class B>
+inline void swap(gmp_integer<B>& lhs, gmp_integer<B>&& rhs)
+{
+ lhs.swap(rhs);
+}
+#endif
+
+
+template<class B>
+inline gmp_integer<B>
+operator << (const gmp_integer<B>& x,
+ typename gmp_integer<B>::size_type n)
+{
+ gmp_integer<B> nrv;
+ mpz_mul_2exp(nrv.get_mpz_t(), x.get_mpz_t(), n);
+ return nrv;
+}
+
+template<class B>
+inline gmp_integer<B>
+operator >> (const gmp_integer<B>& x,
+ typename gmp_integer<B>::size_type n)
+{
+ gmp_integer<B> nrv;
+ mpz_tdiv_q_2exp(nrv.get_mpz_t(), x.get_mpz_t(), n);
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+operator + (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ gmp_integer<B> nrv;
+ mpz_add(nrv.get_mpz_t(), lhs.get_mpz_t(), rhs.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+operator - (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ gmp_integer<B> nrv;
+ mpz_sub(nrv.get_mpz_t(), lhs.get_mpz_t(), rhs.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+operator * (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ gmp_integer<B> nrv;
+ mpz_mul(nrv.get_mpz_t(), lhs.get_mpz_t(), rhs.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+operator / (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ gmp_integer<B> nrv;
+ mpz_tdiv_q(nrv.get_mpz_t(), lhs.get_mpz_t(), rhs.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+operator % (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ gmp_integer<B> nrv;
+ mpz_tdiv_r(nrv.get_mpz_t(), lhs.get_mpz_t(), rhs.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+operator | (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ gmp_integer<B> nrv;
+ B::bitwise_or(nrv.get_mpz_t(), lhs.get_mpz_t(), rhs.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+operator & (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ gmp_integer<B> nrv;
+ B::bitwise_and(nrv.get_mpz_t(), lhs.get_mpz_t(), rhs.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+operator ^ (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ gmp_integer<B> nrv;
+ B::bitwise_xor(nrv.get_mpz_t(), lhs.get_mpz_t(), rhs.get_mpz_t());
+ return nrv;
+}
+
+// Arithmetic and bitwise operators involving integral types
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B>&>::type
+gmp_integer<B>::operator += (IntegralT rhs)
+{
+ integral_ops<IntegralT>::add(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B>&>::type
+gmp_integer<B>::operator -= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::subtract(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B>&>::type
+gmp_integer<B>::operator *= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::multiply(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B>&>::type
+gmp_integer<B>::operator /= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::divide(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B>&>::type
+gmp_integer<B>::operator %= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::modulo(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B>&>::type
+gmp_integer<B>::operator |= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_or(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B>&>::type
+gmp_integer<B>::operator &= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_and(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B>&>::type
+gmp_integer<B>::operator ^= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_xor(*this, rhs);
+ return *this;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B> >::type
+operator + (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ gmp_integer<B> nrv(lhs);
+ nrv += rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B> >::type
+operator - (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ gmp_integer<B> nrv(lhs);
+ nrv -= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B> >::type
+operator * (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ gmp_integer<B> nrv(lhs);
+ nrv *= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B> >::type
+operator / (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ gmp_integer<B> nrv(lhs);
+ nrv /= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B> >::type
+operator % (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ gmp_integer<B> nrv(lhs);
+ nrv %= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B> >::type
+operator | (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ gmp_integer<B> nrv(lhs);
+ nrv |= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B> >::type
+operator & (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ gmp_integer<B> nrv(lhs);
+ nrv &= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, gmp_integer<B> >::type
+operator ^ (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ gmp_integer<B> nrv(lhs);
+ nrv ^= rhs;
+ return nrv;
+}
+
+
+template<class B>
+inline bool operator == (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ return mpz_cmp(lhs.get_mpz_t(), rhs.get_mpz_t()) == 0;
+}
+
+template<class B>
+inline bool operator != (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ return mpz_cmp(lhs.get_mpz_t(), rhs.get_mpz_t()) != 0;
+}
+
+template<class B>
+inline bool operator < (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ return mpz_cmp(lhs.get_mpz_t(), rhs.get_mpz_t()) < 0;
+}
+
+template<class B>
+inline bool operator > (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ return mpz_cmp(lhs.get_mpz_t(), rhs.get_mpz_t()) > 0;
+}
+
+template<class B>
+inline bool operator <= (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ return mpz_cmp(lhs.get_mpz_t(), rhs.get_mpz_t()) <= 0;
+}
+
+template<class B>
+inline bool operator >= (const gmp_integer<B>& lhs, const gmp_integer<B>& rhs)
+{
+ return mpz_cmp(lhs.get_mpz_t(), rhs.get_mpz_t()) >= 0;
+}
+
+// compare unbounded_int to integral
+/*template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator == (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ return detail::unbounded_int_integral_ops<
+ gmp_integer<B>, IntegralT>::equal(lhs, rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator != (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator < (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ return detail::unbounded_int_integral_ops<
+ gmp_integer<B>, IntegralT>::less(lhs, rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator > (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ return rhs < lhs;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator <= (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ return (lhs < rhs) || (lhs == rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator >= (const gmp_integer<B>& lhs, IntegralT rhs)
+{
+ return !(lhs < rhs);
+}
+
+// compare integral to unbounded_int
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator == (IntegralT lhs, const gmp_integer<B>& rhs)
+{
+ return rhs == lhs;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator != (IntegralT lhs, const gmp_integer<B>& rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator < (IntegralT lhs, const gmp_integer<B>& rhs)
+{
+ return !(rhs <= lhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator > (IntegralT lhs, const gmp_integer<B>& rhs)
+{
+ return rhs < lhs;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator <= (IntegralT lhs, const gmp_integer<B>& rhs)
+{
+ return !(rhs < lhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator >= (IntegralT lhs, const gmp_integer<B>& rhs)
+{
+ return rhs <= lhs;
+}*/
+
+// compare unbounded_int to const charT*
+template<class B, typename charT>
+inline bool
+operator == (const gmp_integer<B>& lhs, const charT* rhs)
+{
+ return lhs == gmp_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator != (const gmp_integer<B>& lhs, const charT* rhs)
+{
+ return lhs != gmp_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator < (const gmp_integer<B>& lhs, const charT* rhs)
+{
+ return lhs < gmp_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator > (const gmp_integer<B>& lhs, const charT* rhs)
+{
+ return lhs > gmp_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator <= (const gmp_integer<B>& lhs, const charT* rhs)
+{
+ return lhs <= gmp_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator >= (const gmp_integer<B>& lhs, const charT* rhs)
+{
+ return lhs >= gmp_integer<B>(rhs);
+}
+
+// comparison const charT* to unbounded_int
+template<class B, typename charT>
+inline bool
+operator == (const charT* lhs, const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) == rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator != (const charT* lhs, const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) != rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator < (const charT* lhs, const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) < rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator > (const charT* lhs, const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) > rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator <= (const charT* lhs, const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) <= rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator >= (const charT* lhs, const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) >= rhs;
+}
+
+// compare unbounded_int to basic_string
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator == (const gmp_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs == gmp_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator != (const gmp_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs != gmp_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator < (const gmp_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs < gmp_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator > (const gmp_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs > gmp_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator <= (const gmp_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs <= gmp_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator >= (const gmp_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs >= gmp_integer<B>(rhs);
+}
+
+// compare basic_string to unbounded_int
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator == (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) == rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator != (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) != rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator < (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) < rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator > (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) > rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator <= (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) <= rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator >= (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const gmp_integer<B>& rhs)
+{
+ return gmp_integer<B>(lhs) >= rhs;
+}
+
+// Input/Output
+template<class B, typename charT, class traits>
+std::basic_istream<charT, traits>&
+operator >> (std::basic_istream<charT, traits>& is, gmp_integer<B>&)
+{
+ return is;
+}
+
+template<class B, typename charT, class traits>
+std::basic_ostream<charT, traits>&
+operator << (std::basic_ostream<charT, traits>& os, const gmp_integer<B>& x)
+{
+ return os << x.template to_string<std::string>(os.flags());
+}
+
+
+
+template<class B>
+inline gmp_integer<B> abs(const gmp_integer<B>& x)
+{
+ gmp_integer<B> nrv;
+ mpz_abs(nrv.get_mpz_t(), x.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline gmp_integer<B> gcd(const gmp_integer<B>& x, const gmp_integer<B>& y)
+{
+ gmp_integer<B> nrv;
+ mpz_gcd(nrv.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
+ return nrv;
+}
+
+#ifndef BOOST_NO_VARIADIC_TEMPLATES
+template<class B, class... GMPInteger>
+gmp_integer<B> gcd(const gmp_integer<B>& a,
+ const gmp_integer<B>& b,
+ const GMPInteger&... args)
+{
+ return gcd(gcd(a, b), args...);
+}
+#endif
+
+template<class B>
+inline gmp_integer<B> lcm(const gmp_integer<B>& x, const gmp_integer<B>& y)
+{
+ gmp_integer<B> nrv;
+ mpz_lcm(nrv.get_mpz_t(), x.get_mpz_t(), y.get_mpz_t());
+ return nrv;
+}
+
+#ifndef BOOST_NO_VARIADIC_TEMPLATES
+template<class B, class... GMPInteger>
+gmp_integer<B> lcm(const gmp_integer<B>& a,
+ const gmp_integer<B>& b,
+ const GMPInteger&... args)
+{
+ return lcm(lcm(a, b), args...);
+}
+#endif
+
+template<class B>
+inline
+gmp_integer<B>
+pow(const gmp_integer<B>& x, typename gmp_integer<B>::size_type y)
+{
+ gmp_integer<B> nrv;
+ mpz_pow_ui(nrv.get_mpz_t(), x.get_mpz_t(), y);
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B> pow(const gmp_integer<B>& x, const gmp_integer<B>& y)
+{
+ gmp_integer<B> nrv;
+ mpz_pow_ui(nrv.get_mpz_t(), x.get_mpz_t(),
+ y.template to_integral<unsigned long>());
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+sqrt(const gmp_integer<B>& x)
+{
+ gmp_integer<B> nrv;
+ mpz_sqrt(nrv.get_mpz_t(), x.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+nth_root(typename gmp_integer<B>::size_type n, const gmp_integer<B>& x)
+{
+ gmp_integer<B> nrv;
+ mpz_root(nrv.get_mpz_t(), x.get_mpz_t(), n);
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+nth_root(const gmp_integer<B>& n, const gmp_integer<B>& x)
+{
+ gmp_integer<B> nrv;
+ mpz_root(nrv.get_mpz_t(), x.get_mpz_t(), n);
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B>
+modinv(const gmp_integer<B>& x, const gmp_integer<B>& m)
+{
+ gmp_integer<B> nrv;
+ if (mpz_invert(nrv.get_mpz_t(), x.get_mpz_t(), m.get_mpz_t()) == 0)
+ throw std::domain_error(
+ "boost::mp_math::modinv: modular inverse does not exist");
+ return nrv;
+}
+
+template<class B>
+inline
+gmp_integer<B> modpow(const gmp_integer<B>& base,
+ const gmp_integer<B>& exp,
+ const gmp_integer<B>& mod,
+ modpow_ctx<gmp_integer<B> >* ctx = 0)
+{
+ gmp_integer<B> nrv;
+ mpz_powm(nrv.get_mpz_t(), base.get_mpz_t(), exp.get_mpz_t(), mod.get_mpz_t());
+ return nrv;
+}
+
+template<class B>
+inline
+int jacobi(const gmp_integer<B>& x, const gmp_integer<B>& y)
+{
+ return mpz_jacobi(x.get_mpz_t(), y.get_mpz_t());
+}
+
+
+
+
+
+} // namespace mp_math
+} // namespace boost
+
+#endif
Copied: sandbox/mp_math/boost/mp_math/integer/integer.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/mp_int.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/mp_int.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/integer.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -3,910 +3,94 @@
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_MP_INT_HPP
-#define BOOST_MP_MATH_MP_INT_MP_INT_HPP
-
-#include <algorithm>
-#include <cassert>
-#include <cstring>
-#include <iosfwd>
-#include <iterator> // reverse_iterator
-#include <limits>
-#include <stdexcept>
-#include <sstream>
-#include <string>
+#ifndef BOOST_MP_MATH_INTEGER_INTEGER_HPP
+#define BOOST_MP_MATH_INTEGER_INTEGER_HPP
#include <boost/config.hpp>
-#include <boost/random.hpp>
-#include <boost/type_traits/is_integral.hpp>
-#include <boost/utility/enable_if.hpp>
-#include <boost/mp_math/mp_int/detail/div.hpp>
-#include <boost/mp_math/mp_int/detail/string_conversion_constants.hpp>
-#include <boost/mp_math/mp_int/detail/integral_ops.hpp>
-#include <boost/mp_math/mp_int/detail/meta_math.hpp>
-#include <boost/mp_math/mp_int/detail/primitive_ops.hpp>
-
namespace boost {
namespace mp_math {
-template<
- class Allocator,
- class Traits
->
-struct mp_int
-:
- Allocator::template rebind<typename Traits::digit_type>::other
+template<class Type>
+struct integer : Type
{
-private:
-
- typedef typename Allocator::template
- rebind<typename Traits::digit_type>::other base_allocator_type;
-
-public:
-
- typedef Allocator allocator_type;
- typedef Traits traits_type;
- typedef typename base_allocator_type::size_type size_type;
-
- mp_int();
-
- explicit mp_int(const allocator_type& a);
-
- template<typename IntegralT>
- mp_int(IntegralT,
- const allocator_type& a = allocator_type(),
- typename enable_if<is_integral<IntegralT> >::type* dummy = 0);
-
- template<typename charT>
- mp_int(const charT*, const allocator_type& a = allocator_type());
-
- template<typename charT>
- mp_int(const charT*,
- std::ios_base::fmtflags,
- const allocator_type& a = allocator_type());
-
- template<typename charT, class traits, class Alloc>
- mp_int(const std::basic_string<charT,traits,Alloc>&,
- const allocator_type& a = allocator_type());
-
- template<typename charT, class traits, class Alloc>
- mp_int(const std::basic_string<charT,traits,Alloc>&,
- std::ios_base::fmtflags,
- const allocator_type& a = allocator_type());
-
- template<typename RandomAccessIterator>
- mp_int(RandomAccessIterator first,
- RandomAccessIterator last,
- const allocator_type& a = allocator_type());
-
- template<typename RandomAccessIterator>
- mp_int(RandomAccessIterator first,
- RandomAccessIterator last,
- std::ios_base::fmtflags f,
- const allocator_type& a = allocator_type());
-
- mp_int(const mp_int& copy);
+ typedef Type type;
+ typedef typename type::traits_type traits_type;
+ typedef typename type::digit_type digit_type;
+ typedef typename type::size_type size_type;
+ typedef typename type::iterator iterator;
+ typedef typename type::const_iterator const_iterator;
+ typedef typename type::reverse_iterator reverse_iterator;
+ typedef typename type::const_reverse_iterator const_reverse_iterator;
+
+ integer(){}
+
+ #if !defined(BOOST_NO_VARIADIC_TEMPLATES) && !defined(BOOST_NO_RVALUE_REFERENCES)
+ template<typename... Args>
+ integer(Args&&... args)
+ :
+ type(args...)
+ {}
- #ifdef BOOST_HAS_RVALUE_REFS
- mp_int(mp_int&& copy);
- #endif
-
- ~mp_int();
-
- mp_int& operator = (const mp_int& rhs);
+ #else
- #ifdef BOOST_HAS_RVALUE_REFS
- mp_int& operator = (mp_int&& rhs);
+ template<typename T1>
+ integer(const T1& t1)
+ : type(t1) {}
+
+ template<typename T1, typename T2>
+ integer(const T1& t1, const T2& t2)
+ : type(t1, t2) {}
+
+ template<typename T1, typename T2, typename T3>
+ integer(const T1& t1, const T2& t2, const T3& t3)
+ : type(t1, t2, t3) {}
+
+ template<typename T1, typename T2, typename T3, typename T4>
+ integer(const T1& t1, const T2& t2, const T3& t3, const T4& t4)
+ : type(t1, t2, t3, t4) {}
+
+ template<typename T1, typename T2, typename T3, typename T4, typename T5>
+ integer(const T1& t1, const T2& t2, const T3& t3, const T4& t4, const T5& t5)
+ : type(t1, t2, t3, t4, t5) {}
#endif
- template<typename IntegralT>
- mp_int& operator = (IntegralT rhs);
-
- template<typename charT>
- mp_int& operator = (const charT*);
-
- template<typename charT, class traits, class Alloc>
- mp_int& operator = (const std::basic_string<charT,traits,Alloc>&);
-
- template<typename charT>
- void assign(const charT*, std::ios_base::fmtflags);
-
- template<typename charT, class traits, class Alloc>
- void assign(const std::basic_string<charT,traits,Alloc>&,
- std::ios_base::fmtflags);
-
- template<typename RandomAccessIterator>
- void assign(RandomAccessIterator first, RandomAccessIterator last,
- std::ios_base::fmtflags);
-
- #ifdef BOOST_HAS_RVALUE_REFS
- void swap(mp_int&& other);
+ template<typename T>
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ integer& operator = (T&& t)
#else
- void swap(mp_int& other);
+ integer& operator = (const T& t)
#endif
-
- mp_int& operator ++();
- mp_int& operator --();
- mp_int operator ++(int);
- mp_int operator --(int);
- mp_int& operator <<= (size_type);
- mp_int& operator >>= (size_type);
- mp_int& operator - ();
-
- mp_int& operator += (const mp_int&);
- mp_int& operator -= (const mp_int&);
- mp_int& operator *= (const mp_int&);
- mp_int& operator /= (const mp_int&);
- mp_int& operator %= (const mp_int&);
- mp_int& operator |= (const mp_int&);
- mp_int& operator &= (const mp_int&);
- mp_int& operator ^= (const mp_int&);
-
- template<typename IntegralT> mp_int& operator += (IntegralT);
- template<typename IntegralT> mp_int& operator -= (IntegralT);
- template<typename IntegralT> mp_int& operator *= (IntegralT);
- template<typename IntegralT> mp_int& operator /= (IntegralT);
- template<typename IntegralT> mp_int& operator %= (IntegralT);
- template<typename IntegralT> mp_int& operator |= (IntegralT);
- template<typename IntegralT> mp_int& operator &= (IntegralT);
- template<typename IntegralT> mp_int& operator ^= (IntegralT);
-
- template<typename charT> mp_int& operator += (const charT*);
- template<typename charT> mp_int& operator -= (const charT*);
- template<typename charT> mp_int& operator *= (const charT*);
- template<typename charT> mp_int& operator /= (const charT*);
- template<typename charT> mp_int& operator %= (const charT*);
- template<typename charT> mp_int& operator |= (const charT*);
- template<typename charT> mp_int& operator &= (const charT*);
- template<typename charT> mp_int& operator ^= (const charT*);
-
- template<typename charT, class traits, class Alloc>
- mp_int& operator += (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator -= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator *= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator /= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator %= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator |= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator &= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator ^= (const std::basic_string<charT,traits,Alloc>&);
-
- allocator_type get_allocator() const { return allocator_type(); }
-
-private:
-
- typedef size_type mp_int::*unspecified_bool_type;
-
-public:
-
- operator unspecified_bool_type() const
{
- return !(size_ == 1 && digits_[0] == 0) ? &mp_int::size_ : 0;
+ type::operator=(t);
+ return *this;
}
- bool is_even() const { return (digits_[0] & digit_type(1)) == 0; }
- bool is_odd () const { return (digits_[0] & digit_type(1)) == 1; }
-
- bool is_positive() const { return sign() == 1; }
- bool is_negative() const { return sign() == -1; }
-
- template<class StringT>
- StringT to_string(std::ios_base::fmtflags f = std::ios_base::dec) const;
-
- template<typename IntegralT>
- IntegralT to_integral() const;
-
-public: // low level interface
-
- typedef typename traits_type::digit_type digit_type;
- typedef typename traits_type::word_type word_type;
- typedef typename traits_type::digit_type* iterator;
- typedef const typename traits_type::digit_type* const_iterator;
- typedef std::reverse_iterator<iterator> reverse_iterator;
- typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
- typedef detail::primitive_ops<digit_type, word_type, size_type> ops_type;
-
- // bits per digit, we subtract one because we count from 0
- static const int valid_bits = std::numeric_limits<digit_type>::digits;
- static const int digit_bits = std::numeric_limits<digit_type>::digits;
- // used to mask off the most significant bit(s)
- static const digit_type mp_mask = (word_type(1) << valid_bits) - 1;
- static const size_type mp_warray = 512;
- //1 << (std::numeric_limits<word_type>::digits - 2 * valid_bits + 1);
- static const digit_type digit_max = static_cast<digit_type>(-1);
-
- static const size_type sign_bit =
- size_type(1) << (std::numeric_limits<size_type>::digits - 1U);
-
- template<typename RandomAccessIterator>
- void init(RandomAccessIterator first, RandomAccessIterator last);
-
- template<typename RandomAccessIterator>
- void init(RandomAccessIterator first, RandomAccessIterator last,
- std::ios_base::fmtflags f);
-
- iterator begin() { return digits_; }
- iterator end () { return digits_ + size_; }
- const_iterator begin() const { return digits_; }
- const_iterator end () const { return digits_ + size_; }
- reverse_iterator rbegin() { return reverse_iterator(end()); }
- reverse_iterator rend () { return reverse_iterator(begin()); }
- const_reverse_iterator rbegin() const { return const_reverse_iterator(end()); }
- const_reverse_iterator rend () const { return const_reverse_iterator(begin()); }
-
- digit_type& operator[](size_type i) { return digits_[i]; }
- const digit_type& operator[](size_type i) const { return digits_[i]; }
-
- digit_type& at(size_type i)
- {
- if (i >= size_)
- throw std::out_of_range("mp_int::at: array subscript out of range");
- return digits_[i];
- }
-
- const digit_type& at(size_type i) const
- {
- if (i >= size_)
- throw std::out_of_range("mp_int::at: array subscript out of range");
- return digits_[i];
- }
-
- void push(digit_type x) { digits_[size_++] = x; }
- void pop() { --size_; }
-
- void zero();
-
- // debug functionality
- void print(bool all=false) const;
- bool test_invariants() const;
-
- bool is_uninitialized() const { return !size_; }
-
- size_type size() const { return size_; }
- size_type capacity() const
- {
- return capacity_ & ~sign_bit;
- }
-
- void set_capacity(size_type c)
- {
- capacity_ &= sign_bit;
- capacity_ |= c;
- }
-
- void set_size(size_type s) { size_ = s; }
-
- int sign() const
- {
- return (capacity_ & sign_bit) ? -1 : 1;
- }
-
- void set_sign(int s)
- {
- if (s == 1)
- capacity_ &= ~sign_bit;
- else
- capacity_ |= sign_bit;
- }
-
- digit_type* digits() { return digits_; }
- const digit_type* digits() const { return digits_; }
-
- void grow_capacity(size_type n);
- void clamp();
- void clamp_high_digit();
-
- int compare_magnitude(const mp_int& rhs) const;
- int compare_to_digit(digit_type) const;
- int compare(const mp_int& rhs) const;
-
- void add_magnitude(const mp_int& rhs);
- void sub_smaller_magnitude(const mp_int& rhs);
-
- bool is_power_of_two() const;
- void add_digit(digit_type);
- void sub_digit(digit_type);
-
- void shift_digits_left(size_type);
- void shift_digits_right(size_type);
-
- void multiply_by_digit(digit_type);
- void karatsuba_mul(const mp_int&);
- void toom_cook_mul(const mp_int&);
- void multiply_by_2();
- void mul_digits(const mp_int&, size_type num_digits);
- void mul_high_digits(const mp_int&, size_type num_digits);
- void fast_mul_digits(const mp_int&, size_type num_digits);
- void fast_mul_high_digits(const mp_int&, size_type num_digits);
-
- void sqr();
- void toom_sqr();
- void karatsuba_sqr();
- void comba_sqr();
-
- digit_type divide_by_digit(digit_type); // returns remainder
- void divide_by_2();
- digit_type divide_by_3();
- void modulo_2_to_the_power_of(size_type);
- size_type count_lsb() const;
- void shift_right(size_type b, mp_int* remainder);
-
- void pow2(size_type b);
-
- void set_least_significant_bit()
- {
- digits_[0] |= digit_type(1);
- }
-
- void set_bit(size_type bit)
- {
- digits_[bit / valid_bits] |= digit_type(1) << (bit % valid_bits);
- }
-
- void clear_bit(size_type bit)
- {
- digits_[bit / valid_bits] &= ~(digit_type(1) << (bit % valid_bits));
- }
-
- void set_bits(size_type beg, size_type end);
- void clear_bits(size_type beg, size_type end);
-
- void truncate(size_type prec);
-
- size_type precision() const;
-
- void set_precision(size_type bits)
- {
- size_ = (bits + (valid_bits - 1)) / valid_bits;
- }
-
- template<class A, class T>
- friend bool operator == (const mp_int<A,T>&, const mp_int<A,T>&);
-
- template<class A, class T>
- friend bool operator < (const mp_int<A,T>&, const mp_int<A,T>&);
-
- template<typename Iter>
- void from_string(Iter first, Iter last, unsigned radix);
-
-private:
-
- digit_type* digits_;
- size_type size_, capacity_;
+ operator type& () { return *this; }
+ operator const type& () const { return *this; }
};
+template<class Type>
+struct modpow_ctx<integer<Type> >
+:
+ modpow_ctx<Type>
+{};
-template<class A, class T>
-void mp_int<A,T>::print(bool all) const
-{
- using std::cout;
- if (is_negative())
- cout << '-';
- cout << size_ << "{";
- for (size_type i = 0; i < size_; ++i)
- {
- cout << static_cast<word_type>(digits_[i]);
- if (i < size_ - 1)
- cout << ",";
- }
- cout << "}";
-
- if (all)
- {
- cout << capacity() - size_ << "{";
- for (size_type i = size_; i < capacity(); ++i)
- {
- cout << static_cast<word_type>(digits_[i]);
- if (i < capacity() - 1)
- cout << ",";
- }
- cout << "}";
- }
- cout << "\n";
-}
-
-template<class A, class T>
-bool mp_int<A,T>::test_invariants() const
-{
- if (size_) // don't test uninitialized mp_ints
- {
- if (size_ > capacity())
- return false;
- if (digits_[size_-1] == 0U)
- return false;
- if (!*this && sign() != 1)
- return false;
- }
- return true;
-}
-
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator = (const mp_int<A,T>& rhs)
-{
- if (this != &rhs)
- {
- if ((capacity() == 0) || (capacity() < rhs.capacity()))
- mp_int(rhs).swap(*this);
- else
- {
- std::memcpy(digits_, rhs.digits_, rhs.size_ * sizeof(digit_type));
- size_ = rhs.size_;
- set_sign(rhs.sign());
- }
- }
- return *this;
-}
-
-#ifdef BOOST_HAS_RVALUE_REFS
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator = (mp_int<A,T>&& rhs)
-{
- if (this != &rhs)
- {
- if (digits_)
- this->deallocate(digits_, capacity());
- digits_ = 0;
- size_ = 0;
- capacity_ = 0;
- swap(rhs);
- }
- return *this;
-}
-#endif
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator = (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::assign(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename charT>
-mp_int<A,T>& mp_int<A,T>::operator = (const charT* s)
-{
- size_ = 0;
- init(s, s + std::char_traits<charT>::length(s));
- return *this;
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-mp_int<A,T>& mp_int<A,T>::operator = (const std::basic_string<charT,traits,Alloc>& s)
-{
- size_ = 0;
- init(s.begin(), s.end());
- return *this;
-}
-
-template<class A, class T>
-template<typename charT>
-inline void
-mp_int<A,T>::assign(const charT* s, std::ios_base::fmtflags f)
-{
- assign(s, s + std::char_traits<charT>::length(s), f);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline void
-mp_int<A,T>::assign(const std::basic_string<charT,traits,Alloc>& s,
- std::ios_base::fmtflags f)
-{
- assign(s.begin(), s.end(), f);
-}
-
-template<class A, class T>
-template<typename RandomAccessIterator>
-inline void
-mp_int<A,T>::assign(RandomAccessIterator first, RandomAccessIterator last,
- std::ios_base::fmtflags f)
-{
- size_ = 0;
- init(first, last, f);
-}
-
-
-template<class A, class T>
-#ifdef BOOST_HAS_RVALUE_REFS
-void mp_int<A,T>::swap(mp_int&& other)
-#else
-void mp_int<A,T>::swap(mp_int& other)
-#endif
-{
- std::swap(digits_, other.digits_);
- std::swap(size_, other.size_);
- std::swap(capacity_, other.capacity_);
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator += (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::add(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator -= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::subtract(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator *= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::multiply(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator /= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::divide(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator %= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::modulo(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator |= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::bitwise_or(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator &= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::bitwise_and(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator ^= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::bitwise_xor(*this, rhs);
- return *this;
-}
-
-
-template<class A, class T>
-void mp_int<A,T>::zero()
-{
- grow_capacity(1);
- digits_[0] = 0;
- size_ = 1;
- set_sign(1);
-}
-
-template<class A, class T>
-void mp_int<A,T>::grow_capacity(size_type n)
-{
- if (capacity() < n)
- {
- if (n < sign_bit)
- {
- const size_type new_cap = capacity() + capacity();
- if (new_cap > n)
- n = new_cap;
- digit_type* d = this->allocate(n, digits_);
- std::memcpy(d, digits_, sizeof(digit_type) * size_);
- this->deallocate(digits_, capacity());
- digits_ = d;
- set_capacity(n);
- }
- else
- throw std::bad_alloc();
- }
-}
-
-// This is used to ensure that leading zero digits are trimmed.
-template<class A, class T>
-void mp_int<A,T>::clamp()
-{
- while (size_ > 1 && digits_[size_-1] == 0)
- --size_;
-}
-
-// For when we know that only one leading zero digit may exist.
-template<class A, class T>
-inline void mp_int<A,T>::clamp_high_digit()
-{
- if (size_ > 1 && digits_[size_-1] == 0)
- --size_;
-}
-
-// disregards the sign of the numbers
-// return 1 if *this is greater
-// returns 0 if both are equal
-// return -1 if *this is smaller
-template<class A, class T>
-int mp_int<A,T>::compare_magnitude(const mp_int& rhs) const
-{
- // compare based on # of non-zero digits
- if (size_ > rhs.size_)
- return 1;
-
- if (size_ < rhs.size_)
- return -1;
-
- // compare based on digits
- const_reverse_iterator d = rbegin();
- const_reverse_iterator d2 = rhs.rbegin();
- for (; d != rend(); ++d, ++d2)
- {
- if (*d > *d2)
- return 1;
- if (*d < *d2)
- return -1;
- }
- return 0;
-}
-
-template<class A, class T>
-int mp_int<A,T>::compare_to_digit(digit_type d) const
-{
- // compare based on sign
- if (is_negative())
- return -1;
-
- // compare based on magnitude
- if (size_ > 1)
- return 1;
-
- // compare the only digit of *this to d
- if (digits_[0] > d)
- return 1;
- else if (digits_[0] < d)
- return -1;
- else
- return 0;
-}
-
-template<class A, class T>
-int mp_int<A,T>::compare(const mp_int& rhs) const
-{
- if (sign() != rhs.sign())
- {
- if (is_negative())
- return -1;
- else
- return 1;
- }
-
- if (is_negative())
- // if negative compare opposite direction
- return rhs.compare_magnitude(*this);
- else
- return compare_magnitude(rhs);
-}
-
-// {A,B,C,D,E} shifted left by 2 digits becomes
-// {0,0,A,B,C,D,E}
-template<class A, class T>
-void mp_int<A,T>::shift_digits_left(size_type b)
-{
- if (b <= 0)
- return;
-
- grow_capacity(size_ + b);
-
- std::memmove(digits_ + b, digits_, size_ * sizeof(digit_type));
-
- // zero the lower digits
- std::memset(digits_, 0, b * sizeof(digit_type));
-
- size_ += b;
-}
-
-// {A,B,C,D,E} shifted right by 2 digits becomes
-// {C,D,E}
-template<class A, class T>
-void mp_int<A,T>::shift_digits_right(size_type b)
-{
- if (b <= 0)
- return;
-
- if (size_ <= b)
- {
- zero();
- return;
- }
-
- // shift the digits down
- std::memmove(digits_, digits_ + b, (size_ - b) * sizeof(digit_type));
-
- // zero the top digits
- std::memset(digits_ + size_ - b, 0, b * sizeof(digit_type));
-
- // remove excess digits
- size_ -= b;
-}
-
-template<class A, class T>
-typename mp_int<A,T>::size_type
-mp_int<A,T>::precision() const
-{
- // get number of digits and add that
- size_type p = (size_ - 1) * valid_bits;
-
- // take the last digit and count the bits in it
- digit_type q = digits_[size_ - 1];
- while (q > 0U)
- {
- ++p;
- q >>= 1;
- }
- return p;
-}
-
-// Counts the number of lsbs which are zero before the first one bit
-template<class A, class T>
-typename mp_int<A,T>::size_type
-mp_int<A,T>::count_lsb() const
-{
- static const size_type lnz[16] = {
- 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0
- };
-
- if (!*this)
- return 0;
-
- // scan lower digits until non-zero
- size_type x = 0;
- while (x < size_ && digits_[x] == 0)
- ++x;
- digit_type q = digits_[x];
- x *= valid_bits;
-
- // now scan this digit until a 1 is found
- if ((q & 1) == 0)
- {
- digit_type qq;
- do
- {
- qq = q & 15;
- x += lnz[qq];
- q >>= 4;
- } while (qq == 0);
- }
- return x;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline IntegralT mp_int<A,T>::to_integral() const
-{
- return detail::integral_ops<IntegralT>::convert(*this);
-}
-
-template<class A, class T>
-void mp_int<A,T>::set_bits(size_type beg, size_type end)
-{
- const size_type beg_index = beg / digit_bits;
- const size_type end_index = end / digit_bits;
- const size_type first_bits = beg % digit_bits;
- const size_type last_bits = end % digit_bits;
-
- static const digit_type z = ~digit_type(0);
-
- digit_type mask = z << first_bits;
- if (beg_index == end_index && last_bits)
- mask &= z >> (digit_bits - last_bits);
-
- digits_[beg_index] |= mask;
-
- for (size_type i = beg_index + ((beg % digit_bits) ? 1 : 0); i < end_index; ++i)
- digits_[i] = digit_max;
-
- if (beg_index != end_index && last_bits)
- digits_[end_index] |= z >> (digit_bits - last_bits);
-}
-
-template<class A, class T>
-void mp_int<A,T>::clear_bits(size_type beg, size_type end)
-{
- const size_type beg_index = beg / digit_bits;
- const size_type end_index = end / digit_bits;
- const size_type first_bits = beg % digit_bits;
- const size_type last_bits = end % digit_bits;
-
- static const digit_type z = ~digit_type(0);
-
- digit_type mask;
- if (first_bits)
- mask = z >> (digit_bits - first_bits);
- else
- mask = 0;
-
- if (beg_index == end_index)
- mask |= z << last_bits;
-
- digits_[beg_index] &= mask;
-
- if (beg_index != end_index)
- {
- std::memset(digits_ + beg_index + 1, 0,
- sizeof(digit_type) * (end_index - beg_index - 1));
-
- digits_[end_index] &= z << last_bits;
- }
-}
-
-// don't forget to clamp() after truncating!
-template<class A, class T>
-void mp_int<A,T>::truncate(size_type prec)
-{
- set_precision(prec);
- const size_type last_bits = prec % valid_bits;
- if (last_bits)
- {
- static const digit_type z = ~digit_type(0);
- const digit_type mask = z >> (valid_bits - last_bits);
- digits_[size_ - 1] &= mask;
- }
-}
-
-
-template<class A, class T>
-inline void swap(mp_int<A,T>& lhs, mp_int<A,T>& rhs)
-{
- lhs.swap(rhs);
-}
-
-#ifdef BOOST_HAS_RVALUE_REFS
-template<class A, class T>
-inline void swap(mp_int<A,T>&& lhs, mp_int<A,T>& rhs)
-{
- lhs.swap(rhs);
+// returns base^exp % mod
+template<class Type>
+inline
+integer<Type> modpow(const integer<Type>& base,
+ const integer<Type>& exp,
+ const integer<Type>& mod,
+ modpow_ctx<integer<Type> >* ctx = 0)
+{
+ return modpow(static_cast<const Type&>(base),
+ static_cast<const Type&>(exp),
+ static_cast<const Type&>(mod),
+ static_cast<modpow_ctx<Type>*>(ctx));
}
-template<class A, class T>
-inline void swap(mp_int<A,T>& lhs, mp_int<A,T>&& rhs)
-{
- lhs.swap(rhs);
-}
-#endif
-
-
-
-
-
-#include <boost/mp_math/mp_int/abs.hpp>
-#include <boost/mp_math/mp_int/add.hpp>
-#include <boost/mp_math/mp_int/ctors.hpp>
-#include <boost/mp_math/mp_int/div.hpp>
-#include <boost/mp_math/mp_int/mod.hpp>
-#include <boost/mp_math/mp_int/mul.hpp>
-#include <boost/mp_math/mp_int/operators.hpp>
-#include <boost/mp_math/mp_int/pow.hpp>
-#include <boost/mp_math/mp_int/random.hpp>
-#include <boost/mp_math/mp_int/sqr.hpp>
-#include <boost/mp_math/mp_int/sub.hpp>
-#include <boost/mp_math/mp_int/string_conversion.hpp>
} // namespace mp_math
} // namespace boost
Copied: sandbox/mp_math/boost/mp_math/integer/integer_fwd.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/mp_int_fwd.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/mp_int_fwd.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/integer_fwd.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,23 +1,18 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_MP_INT_FWD_HPP
-#define BOOST_MP_MATH_MP_INT_MP_INT_FWD_HPP
-
-#include <memory>
-#include <boost/mp_math/mp_int/traits.hpp>
+#ifndef BOOST_MP_MATH_MP_INT_INTEGER_FWD_HPP
+#define BOOST_MP_MATH_MP_INT_INTEGER_FWD_HPP
+#include <boost/mp_math/integer/unbounded.hpp>
namespace boost {
namespace mp_math {
-template<
- class Allocator = std::allocator<void>,
- class Traits = mp_int_traits<>
->
-struct mp_int;
+template<class Type = unbounded<> >
+struct integer;
} // namespace mp_math
} // namespace boost
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/jacobi.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/jacobi.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,75 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_JACOBI_HPP
-#define BOOST_MP_MATH_MP_INT_JACOBI_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-
-
-namespace boost {
-namespace mp_math {
-
-// computes the jacobi c = (a | p) (or Legendre if p is prime)
-// HAC pp. 73 Algorithm 2.149
-template<class A, class T>
-int jacobi(const mp_int<A,T>& a, const mp_int<A,T>& p)
-{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::size_type size_type;
-
- if (p <= digit_type(0))
- throw std::domain_error("jacobi: p must be greater than 0");
-
- if (!a)
- return 0;
-
- if (a == digit_type(1))
- return 1;
-
- // default
- int s = 0;
-
- // write a = a1 * 2**k
- mp_int<A,T> a1(a);
-
- // find largest power of two that divides a1
- const size_type k = a1.count_lsb();
- // now divide by it
- a1.shift_right(k,0);
-
- // if k is even set s=1
- if ((k & 1) == 0)
- s = 1;
- else
- {
- // calculate p.digits_[0] mod 8
- const digit_type residue = p[0] & 7;
-
- if (residue == 1 || residue == 7)
- s = 1;
- else if (residue == 3 || residue == 5)
- s = -1;
- }
-
- // if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s
- if (((p[0] & 3) == 3) && ((a1[0] & 3) == 3))
- s = -s;
-
- if (a1 == digit_type(1))
- return s;
- else
- {
- const mp_int<A,T> p1(p % a1);
- return s * jacobi(p1, a1);
- }
-}
-
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/lcm.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/lcm.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,47 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_LCM_HPP
-#define BOOST_MP_MATH_MP_INT_LCM_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-
-
-namespace boost {
-namespace mp_math {
-
-// computes least common multiple as |a*b|/gcd(a,b)
-template<class A, class T>
-mp_int<A,T> lcm(const mp_int<A,T>& a, const mp_int<A,T>& b)
-{
- mp_int<A,T> result;
-
- if (!a || !b)
- {
- result.zero();
- return result;
- }
-
- result = a / gcd(a, b) * b;
-
- result.set_sign(1);
-
- return result;
-}
-
-#ifdef BOOST_HAS_VARIADIC_TMPL
-template<class A, class T, class... MpInts>
-mp_int<A,T> lcm(const mp_int<A,T>& a, const mp_int<A,T>& b, const MpInts&... args)
-{
- return lcm(lcm(a, b), args...);
-}
-#endif
-
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Added: sandbox/mp_math/boost/mp_math/integer/libtom_integer.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/libtom_integer.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,1445 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_LIBTOM_INTEGER_HPP
+#define BOOST_MP_MATH_INTEGER_LIBTOM_INTEGER_HPP
+
+#include <tommath.h>
+#include <boost/config.hpp>
+#include <boost/mp_math/integer/contexts.hpp>
+#include <boost/type_traits/is_integral.hpp>
+#include <boost/utility/enable_if.hpp>
+#include <cstring> // strlen
+#include <iostream>
+#include <limits>
+#include <stdexcept>
+
+namespace boost {
+namespace mp_math {
+
+struct boost_behavior
+{
+ static void bitwise_or(mp_int* z, mp_int* x, mp_int* y);
+ static void bitwise_and(mp_int* z, mp_int* x, mp_int* y);
+ static void bitwise_xor(mp_int* z, mp_int* x, mp_int* y);
+};
+
+
+struct libtom_behavior
+{
+ static void bitwise_or(mp_int* z, mp_int* x, mp_int* y)
+ {
+ mp_or(x, y, z);
+ }
+
+ static void bitwise_and(mp_int* z, mp_int* x, mp_int* y)
+ {
+ mp_and(x, y, z);
+ }
+
+ static void bitwise_xor(mp_int* z, mp_int* x, mp_int* y)
+ {
+ mp_xor(x, y, z);
+ }
+};
+
+
+template<class Behavior = libtom_behavior>
+class libtom_integer;
+
+
+namespace detail {
+
+template<
+ class B,
+ typename IntegralT,
+ bool IsSigned = std::numeric_limits<IntegralT>::is_signed,
+ bool FitsIntoLongInt =
+ IsSigned ? (std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<signed long int>::digits)
+ : (std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<unsigned long int>::digits)
+>
+struct libtom_integer_integral_ops;
+
+
+template<
+ class B,
+ typename IntegralT
+>
+struct libtom_integer_integral_ops<libtom_integer<B>, IntegralT, false, true>
+{
+ typedef libtom_integer<B> libtom_integer_type;
+ typedef IntegralT integral_type;
+
+ static void init(libtom_integer_type& z, integral_type x)
+ {
+ mpz_init_set_ui(z.get_mp_int(), x);
+ }
+
+ static void assign(libtom_integer_type& z, integral_type x)
+ {
+ mpz_set_ui(z.get_mp_int(), x);
+ }
+
+ static bool equal(const libtom_integer_type& z, integral_type x)
+ {
+ return mpz_cmp_ui(z.get_mp_int(), x) == 0;
+ }
+
+ static bool less(const libtom_integer_type& z, integral_type x)
+ {
+ return mpz_cmp_ui(z.get_mp_int(), x) < 0;
+ }
+
+ static void add(libtom_integer_type& z, integral_type x)
+ {
+ mpz_add_ui(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void subtract(libtom_integer_type& z, integral_type x)
+ {
+ mpz_sub_ui(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void multiply(libtom_integer_type& z, integral_type x)
+ {
+ mpz_mul_ui(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void divide(libtom_integer_type& z, integral_type x)
+ {
+ mp_intdiv_q_ui(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void modulo(libtom_integer_type& z, integral_type x)
+ {
+ mpz_mod_ui(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void bitwise_or(libtom_integer_type& z, integral_type x);
+ static void bitwise_and(libtom_integer_type& z, integral_type x);
+ static void bitwise_xor(libtom_integer_type& z, integral_type x);
+};
+
+
+template<
+ class B,
+ typename IntegralT
+>
+struct libtom_integer_integral_ops<libtom_integer<B>, IntegralT, true, true>
+{
+ typedef libtom_integer<B> libtom_integer_type;
+ typedef IntegralT integral_type;
+
+ static void init(libtom_integer_type& z, integral_type x)
+ {
+ mpz_init_set_si(z.get_mp_int(), x);
+ }
+
+ static void assign(libtom_integer_type& z, integral_type x)
+ {
+ mpz_set_si(z.get_mp_int(), x);
+ }
+
+ static bool equal(const libtom_integer_type& z, integral_type x)
+ {
+ return mpz_cmp_si(z.get_mp_int(), x) == 0;
+ }
+
+ static bool less(const libtom_integer_type& z, integral_type x)
+ {
+ return mpz_cmp_si(z.get_mp_int(), x) < 0;
+ }
+
+ static void add(libtom_integer_type& z, integral_type x)
+ {
+ mpz_add_ui(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void subtract(libtom_integer_type& z, integral_type x)
+ {
+ mpz_sub_ui(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void multiply(libtom_integer_type& z, integral_type x)
+ {
+ mpz_mul_si(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void divide(libtom_integer_type& z, integral_type x)
+ {
+ mp_intdiv_q_ui(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void modulo(libtom_integer_type& z, integral_type x)
+ {
+ mpz_mod_ui(z.get_mp_int(), z.get_mp_int(), x);
+ }
+
+ static void bitwise_or(libtom_integer_type& z, integral_type x);
+ static void bitwise_and(libtom_integer_type& z, integral_type x);
+ static void bitwise_xor(libtom_integer_type& z, integral_type x);
+};
+
+
+template<
+ class B,
+ typename IntegralT,
+ bool IsSigned = std::numeric_limits<IntegralT>::is_signed,
+ bool FitsIntoLongInt =
+ IsSigned ? (std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<signed long int>::digits)
+ : (std::numeric_limits<IntegralT>::digits <=
+ std::numeric_limits<unsigned long int>::digits)
+>
+struct libtom_integer_to_integral;
+
+
+template<class B, typename IntegralT>
+struct libtom_integer_to_integral<B, IntegralT, false, true>
+{
+ static IntegralT convert(const libtom_integer<B>& x)
+ {
+ return static_cast<IntegralT>(mpz_get_ui(x.get_mp_int()));
+ }
+};
+
+
+template<class B, typename IntegralT>
+struct libtom_integer_to_integral<B, IntegralT, true, true>
+{
+ static IntegralT convert(const libtom_integer<B>& x)
+ {
+ return static_cast<IntegralT>(mpz_get_si(x.get_mp_int()));
+ }
+};
+
+
+
+struct libtom_integer_traits
+{
+ typedef mp_digit digit_type;
+ typedef std::size_t size_type;
+
+ static const size_type digit_bits = GMP_LIMB_BITS;
+ static const size_type radix_bits = GMP_NUMB_BITS;
+ static const digit_type max_digit_value = GMP_NUMB_MAX;
+};
+
+
+// Same as libtom_allocated_string in libtom-impl.h, but we can't use it because
+// libtom-impl.h is an internal GMP header and is probably not installed.
+extern "C"
+{
+ typedef void (*libtom_free_func)(void *, size_t);
+}
+
+struct libtom_allocated_string
+{
+ char* str;
+ const std::size_t len;
+
+ libtom_allocated_string(char *s)
+ :
+ str(s), len(std::strlen(s) + 1)
+ {}
+
+ ~libtom_allocated_string()
+ {
+ libtom_free_func f;
+ mp_get_memory_functions (0, 0, &f);
+ (*f)(str, len);
+ }
+};
+
+
+
+} // namespace detail
+
+
+// libtom_original or libtom_boost
+// differences: bitwise ops
+template<class Behavior>
+class libtom_integer
+{
+ mp_int val_;
+
+public:
+
+ static const bool is_signed = true;
+ static const bool is_bounded = false;
+
+ typedef Behavior behavior_type;
+
+ template<typename IntegralT>
+ struct integral_ops
+ :
+ detail::libtom_integer_integral_ops<libtom_integer<Behavior>, IntegralT>
+ {};
+
+ typedef detail::libtom_integer_traits traits_type;
+
+ typedef traits_type::digit_type digit_type;
+ typedef traits_type::size_type size_type;
+
+ typedef digit_type* iterator;
+ typedef const digit_type* const_iterator;
+ typedef std::reverse_iterator<iterator> reverse_iterator;
+ typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
+
+ libtom_integer()
+ {
+ mp_init(&val_);
+ }
+
+ template<typename IntegralT>
+ libtom_integer(IntegralT x,
+ typename enable_if<is_integral<IntegralT> >::type* dummy = 0)
+ {
+ integral_ops<IntegralT>::init(*this, x);
+ }
+
+ libtom_integer(const mp_int& x)
+ {
+ mp_init_copy(&val_, &x);
+ }
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ libtom_integer(mp_int&& x)
+ :
+ val_(x)
+ {}
+ #endif
+
+ explicit libtom_integer(const char* s);
+ explicit libtom_integer(const std::string& s);
+
+ libtom_integer(const char* s, std::ios_base::fmtflags);
+ libtom_integer(const std::string& s, std::ios_base::fmtflags);
+
+ libtom_integer(const libtom_integer& copy)
+ {
+ mp_init_copy(&val_, ©.val_);
+ }
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ libtom_integer(libtom_integer&& copy)
+ {
+ val_.alloc = copy.val_.alloc;
+ val_.used = copy.val_.used;
+ val_.dp = copy.val_.dp;
+ copy.val_.alloc = 0;
+ copy.val_.used = 0;
+ copy.val_.dp = 0;
+ }
+ #endif
+
+ ~libtom_integer()
+ {
+ mp_clear(&val_);
+ }
+
+ libtom_integer& operator = (const libtom_integer& rhs)
+ {
+ mp_copy(&rhs.val_, &val);
+ return *this;
+ }
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ libtom_integer& operator = (libtom_integer&& rhs)
+ {
+ mp_clear(&val_);
+ swap(rhs);
+ return *this;
+ }
+ #endif
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, libtom_integer&>::type
+ operator = (IntegralT x)
+ {
+ integral_ops<IntegralT>::assign(*this, x);
+ return *this;
+ }
+
+ template<typename charT>
+ libtom_integer& operator = (const charT* s)
+ {
+ if (mpz_set_str(val_, s, 0) == 0)
+ return *this;
+ else
+ throw std::invalid_argument(
+ "boost::mp_math::libtom_integer: operator = (const charT*)");
+ }
+
+ template<typename charT, class traits, class alloc>
+ libtom_integer& operator = (const std::basic_string<charT,traits,alloc>& s)
+ {
+ if (mpz_set_str(val_, s.c_str(), 0) == 0)
+ return *this;
+ else
+ throw std::invalid_argument(
+ "boost::mp_math::libtom_integer: operator = (const charT*)");
+ }
+
+ template<typename charT>
+ void assign(const charT* s, std::ios_base::fmtflags f)
+ {
+ unsigned radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+ if (mp_read_radix(&val_, s, radix) == -1)
+ throw std::invalid_argument(
+ "boost::mp_math::libtom_integer::assign: illformatted string)");
+ }
+
+ // TODO dispatch std::string to mpz_set_string, but dispatch other string
+ // types to detail/string_converter? Could do that but would need support for
+ // NAIL bits.
+ template<typename charT, class traits, class alloc>
+ void assign(const std::basic_string<charT,traits,alloc>& s,
+ std::ios_base::fmtflags f)
+ {
+ unsigned radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+ if (mp_read_radix(&val_, s.c_str(), radix) == -1)
+ throw std::invalid_argument(
+ "boost::mp_math::libtom_integer::assign: illformatted string)");
+ }
+
+
+ template<typename RandomAccessIterator>
+ void assign(RandomAccessIterator first, RandomAccessIterator last,
+ std::ios_base::fmtflags);
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ void swap(libtom_integer&& other)
+ #else
+ void swap(libtom_integer& other)
+ #endif
+ {
+ mp_exch(&val_, &other.val_);
+ }
+
+#ifdef BOOST_NO_EXPLICIT_CONVERSION_OPERATORS
+private:
+
+ typedef mp_int libtom_integer::*unspecified_bool_type;
+
+public:
+
+ operator unspecified_bool_type() const
+ {
+ return mp_iszero(&val_) ? 0 : &libtom_integer::val_;
+ }
+#else
+ explicit operator bool() const { return static_cast<bool>(mp_iszero(&val_)); }
+#endif
+
+ bool is_even() const { return mp_iseven(&val_); }
+ bool is_odd () const { return mp_isodd(&val_); }
+
+ bool is_positive() const { return val_.sign >= 0; }
+ bool is_negative() const { return val_.sign < 0; }
+
+ // These two functions use the same signature as GMP's mpz_class
+ mp_int& get_mp_int() { return val_; }
+ const mp_int& get_mp_int() const { return val_; }
+
+ size_type size() const { return statc_cast<size_type>(val_.used); }
+
+ digit_type* digits() { return val_.dp; }
+ const digit_type* digits() const { return val_.dp; }
+
+ iterator begin() { return digits(); }
+ iterator end () { return digits(); }
+ const_iterator begin() const { return digits(); }
+ const_iterator end () const { return digits() + size(); }
+ const_iterator cbegin() const { return digits(); }
+ const_iterator cend () const { return digits() + size(); }
+ reverse_iterator rbegin() { return reverse_iterator(end ()); }
+ reverse_iterator rend () { return reverse_iterator(begin()); }
+ const_reverse_iterator rbegin() const { return const_reverse_iterator(end ()); }
+ const_reverse_iterator rend () const { return const_reverse_iterator(begin()); }
+ const_reverse_iterator crbegin() const { return const_reverse_iterator(end ()); }
+ const_reverse_iterator crend () const { return const_reverse_iterator(begin()); }
+
+ digit_type& operator [] (size_type i) { return val_.dp[i]; }
+ const digit_type& operator [] (size_type i) const { return val_.dp[i]; }
+
+ libtom_integer& operator ++() { mp_add_d(&val_, 1, &val_); return *this; }
+ libtom_integer& operator --() { mp_sub_d(&val_, 1, &val_); return *this; }
+
+ libtom_integer operator ++(int)
+ {
+ libtom_integer tmp;
+ mp_add_d(&val_, 1, &tmp.val_);
+ return tmp;
+ }
+
+ libtom_integer operator --(int)
+ {
+ libtom_integer tmp;
+ mp_sub_d(&val_, 1, &tmp.val_);
+ return tmp;
+ }
+
+ libtom_integer& operator <<= (size_type n)
+ {
+ mp_mul_2d(&val_, n, &val_);
+ return *this;
+ }
+
+ libtom_integer& operator >>= (size_type n)
+ {
+ mp_mul_2d(&val_, n, &val_, 0);
+ return *this;
+ }
+
+ libtom_integer& operator - () { mp_neg(&val_, &val_); return *this; }
+
+ libtom_integer& operator ~ () { mpz_cmp(val_, val_); return *this; }
+
+ libtom_integer& operator += (const libtom_integer& rhs)
+ {
+ mp_add(&val_, &rhs.val_, &val_);
+ return *this;
+ }
+
+ libtom_integer& operator -= (const libtom_integer& rhs)
+ {
+ mp_sub(&val_, &rhs.val_, &val_);
+ return *this;
+ }
+
+ libtom_integer& operator *= (const libtom_integer& rhs)
+ {
+ mp_mul(&val_, &rhs.val_, &val_);
+ return *this;
+ }
+
+ libtom_integer& operator /= (const libtom_integer& rhs)
+ {
+ mp_div(&val_, &rhs.val_, &val_, 0);
+ return *this;
+ }
+
+ libtom_integer& operator %= (const libtom_integer& rhs)
+ {
+ mp_div(&val_, &rhs.val_, 0, &val_);
+ return *this;
+ }
+
+ libtom_integer& operator |= (const libtom_integer& rhs)
+ {
+ behavior_type::bitwise_or(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ libtom_integer& operator &= (const libtom_integer& rhs)
+ {
+ behavior_type::bitwise_and(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ libtom_integer& operator ^= (const libtom_integer& rhs)
+ {
+ behavior_type::bitwise_xor(val_, val_, rhs.val_);
+ return *this;
+ }
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, libtom_integer&>::type
+ operator += (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, libtom_integer&>::type
+ operator -= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, libtom_integer&>::type
+ operator *= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, libtom_integer&>::type
+ operator /= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, libtom_integer&>::type
+ operator %= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, libtom_integer&>::type
+ operator |= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, libtom_integer&>::type
+ operator &= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, libtom_integer&>::type
+ operator ^= (IntegralT);
+
+ template<typename IntegralT>
+ IntegralT to_integral() const
+ {
+ return detail::libtom_integer_to_integral<behavior_type, IntegralT>::
+ convert(*this);
+ }
+
+ template<class StringT>
+ StringT to_string(std::ios_base::fmtflags f = std::ios_base::fmtflags()) const
+ {
+ int radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+
+ const detail::libtom_allocated_string tmp(mpz_get_str(0, radix, val_));
+ return StringT(tmp.str, tmp.str + tmp.len - 1);
+ }
+};
+
+
+template<class B>
+libtom_integer<B>::libtom_integer(const char* s)
+{
+ mp_init(&val_);
+ if (*s != '\0')
+ {
+ if (mpz_init_set_str(val_, s, 0))
+ {
+ if (val_->_mp_d)
+ mpz_clear(val_);
+ throw std::invalid_argument(
+ "boost::mp_math::libtom_integer::libtom_integer(const char*)");
+ }
+ }
+}
+
+template<class B>
+libtom_integer<B>::libtom_integer(const char* s, std::ios_base::fmtflags f)
+{
+ mp_init(&val_);
+ unsigned radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+
+ if (*s != '\0')
+ {
+ if (mpz_init_set_str(val_, s, radix))
+ {
+ if (val_->_mp_d)
+ mpz_clear(val_);
+ throw std::invalid_argument(
+ "boost::mp_math::libtom_integer::"
+ "libtom_integer(const char*, std::ios_base::fmtflags)");
+ }
+ }
+}
+
+template<class B>
+libtom_integer<B>::libtom_integer(const std::string& s)
+{
+ mp_init(&val_);
+ if (!s.empty())
+ {
+ if (mpz_init_set_str(val_, s.c_str(), 0))
+ {
+ if (val_->_mp_d)
+ mpz_clear(val_);
+ throw std::invalid_argument(
+ "boost::mp_math::libtom_integer::libtom_integer(const std::string&)");
+ }
+ }
+}
+
+template<class B>
+libtom_integer<B>::libtom_integer(const std::string& s, std::ios_base::fmtflags f)
+{
+ mp_init(&val_);
+ unsigned radix;
+ if (f & std::ios_base::hex)
+ radix = 16;
+ else if (f & std::ios_base::oct)
+ radix = 8;
+ else
+ radix = 10;
+
+ if (!s.empty())
+ {
+ if (mpz_init_set_str(val_, s.c_str(), radix))
+ {
+ if (val_->_mp_d)
+ mpz_clear(val_);
+ throw std::invalid_argument(
+ "boost::mp_math::libtom_integer::"
+ "libtom_integer(const std::string&, std::ios_base::fmtflags)");
+ }
+ }
+}
+
+template<class B>
+inline void swap(libtom_integer<B>& lhs, libtom_integer<B>& rhs)
+{
+ lhs.swap(rhs);
+}
+
+#ifndef BOOST_NO_RVALUE_REFERENCES
+template<class B>
+inline void swap(libtom_integer<B>&& lhs, libtom_integer<B>& rhs)
+{
+ lhs.swap(rhs);
+}
+template<class B>
+inline void swap(libtom_integer<B>& lhs, libtom_integer<B>&& rhs)
+{
+ lhs.swap(rhs);
+}
+#endif
+
+
+template<class B>
+inline libtom_integer<B>
+operator << (const libtom_integer<B>& x,
+ typename libtom_integer<B>::size_type n)
+{
+ libtom_integer<B> nrv;
+ mpz_mul_2exp(nrv.get_mp_int(), x.get_mp_int(), n);
+ return nrv;
+}
+
+template<class B>
+inline libtom_integer<B>
+operator >> (const libtom_integer<B>& x,
+ typename libtom_integer<B>::size_type n)
+{
+ libtom_integer<B> nrv;
+ mp_intdiv_q_2exp(nrv.get_mp_int(), x.get_mp_int(), n);
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+operator + (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ libtom_integer<B> nrv;
+ mp_add(&lhs.get_mp_int(), &rhs.get_mp_int(), &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+operator - (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ libtom_integer<B> nrv;
+ mp_sub(&lhs.get_mp_int(), &rhs.get_mp_int(), &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+operator * (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ libtom_integer<B> nrv;
+ mp_mul(&lhs.get_mp_int(), &rhs.get_mp_int(), &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+operator / (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ libtom_integer<B> nrv;
+ mp_div(&lhs.get_mp_int(), &rhs.get_mp_int(), &nrv.get_mp_int(), 0);
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+operator % (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ libtom_integer<B> nrv;
+ mp_div(&lhs.get_mp_int(), &rhs.get_mp_int(), 0, &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+operator | (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ libtom_integer<B> nrv;
+ B::bitwise_or(nrv.get_mp_int(), lhs.get_mp_int(), rhs.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+operator & (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ libtom_integer<B> nrv;
+ B::bitwise_and(nrv.get_mp_int(), lhs.get_mp_int(), rhs.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+operator ^ (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ libtom_integer<B> nrv;
+ B::bitwise_xor(nrv.get_mp_int(), lhs.get_mp_int(), rhs.get_mp_int());
+ return nrv;
+}
+
+// Arithmetic and bitwise operators involving integral types
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B>&>::type
+libtom_integer<B>::operator += (IntegralT rhs)
+{
+ integral_ops<IntegralT>::add(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B>&>::type
+libtom_integer<B>::operator -= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::subtract(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B>&>::type
+libtom_integer<B>::operator *= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::multiply(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B>&>::type
+libtom_integer<B>::operator /= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::divide(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B>&>::type
+libtom_integer<B>::operator %= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::modulo(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B>&>::type
+libtom_integer<B>::operator |= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_or(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B>&>::type
+libtom_integer<B>::operator &= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_and(*this, rhs);
+ return *this;
+}
+
+template<class B>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B>&>::type
+libtom_integer<B>::operator ^= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_xor(*this, rhs);
+ return *this;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B> >::type
+operator + (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ libtom_integer<B> nrv(lhs);
+ nrv += rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B> >::type
+operator - (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ libtom_integer<B> nrv(lhs);
+ nrv -= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B> >::type
+operator * (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ libtom_integer<B> nrv(lhs);
+ nrv *= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B> >::type
+operator / (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ libtom_integer<B> nrv(lhs);
+ nrv /= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B> >::type
+operator % (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ libtom_integer<B> nrv(lhs);
+ nrv %= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B> >::type
+operator | (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ libtom_integer<B> nrv(lhs);
+ nrv |= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B> >::type
+operator & (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ libtom_integer<B> nrv(lhs);
+ nrv &= rhs;
+ return nrv;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, libtom_integer<B> >::type
+operator ^ (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ libtom_integer<B> nrv(lhs);
+ nrv ^= rhs;
+ return nrv;
+}
+
+
+template<class B>
+inline bool operator == (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ return mp_cmp(&lhs.get_mp_int(), &rhs.get_mp_int()) == MP_EQ;
+}
+
+template<class B>
+inline bool operator != (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ return mp_cmp(&lhs.get_mp_int(), &rhs.get_mp_int()) != MP_EQ;
+}
+
+template<class B>
+inline bool operator < (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ return mp_cmp(&lhs.get_mp_int(), &rhs.get_mp_int()) == MP_LT;
+}
+
+template<class B>
+inline bool operator > (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ return mp_cmp(&lhs.get_mp_int(), &rhs.get_mp_int()) == MP_GT;
+}
+
+template<class B>
+inline bool operator <= (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ return mp_cmp(&lhs.get_mp_int(), &rhs.get_mp_int()) <= 0;
+}
+
+template<class B>
+inline bool operator >= (const libtom_integer<B>& lhs, const libtom_integer<B>& rhs)
+{
+ return mp_cmp(&lhs.get_mp_int(), &rhs.get_mp_int()) >= 0;
+}
+
+// compare unbounded_int to integral
+/*template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator == (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ return detail::unbounded_int_integral_ops<
+ libtom_integer<B>, IntegralT>::equal(lhs, rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator != (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator < (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ return detail::unbounded_int_integral_ops<
+ libtom_integer<B>, IntegralT>::less(lhs, rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator > (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ return rhs < lhs;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator <= (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ return (lhs < rhs) || (lhs == rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator >= (const libtom_integer<B>& lhs, IntegralT rhs)
+{
+ return !(lhs < rhs);
+}
+
+// compare integral to unbounded_int
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator == (IntegralT lhs, const libtom_integer<B>& rhs)
+{
+ return rhs == lhs;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator != (IntegralT lhs, const libtom_integer<B>& rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator < (IntegralT lhs, const libtom_integer<B>& rhs)
+{
+ return !(rhs <= lhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator > (IntegralT lhs, const libtom_integer<B>& rhs)
+{
+ return rhs < lhs;
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator <= (IntegralT lhs, const libtom_integer<B>& rhs)
+{
+ return !(rhs < lhs);
+}
+
+template<class B, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator >= (IntegralT lhs, const libtom_integer<B>& rhs)
+{
+ return rhs <= lhs;
+}*/
+
+// compare unbounded_int to const charT*
+template<class B, typename charT>
+inline bool
+operator == (const libtom_integer<B>& lhs, const charT* rhs)
+{
+ return lhs == libtom_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator != (const libtom_integer<B>& lhs, const charT* rhs)
+{
+ return lhs != libtom_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator < (const libtom_integer<B>& lhs, const charT* rhs)
+{
+ return lhs < libtom_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator > (const libtom_integer<B>& lhs, const charT* rhs)
+{
+ return lhs > libtom_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator <= (const libtom_integer<B>& lhs, const charT* rhs)
+{
+ return lhs <= libtom_integer<B>(rhs);
+}
+
+template<class B, typename charT>
+inline bool
+operator >= (const libtom_integer<B>& lhs, const charT* rhs)
+{
+ return lhs >= libtom_integer<B>(rhs);
+}
+
+// comparison const charT* to unbounded_int
+template<class B, typename charT>
+inline bool
+operator == (const charT* lhs, const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) == rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator != (const charT* lhs, const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) != rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator < (const charT* lhs, const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) < rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator > (const charT* lhs, const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) > rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator <= (const charT* lhs, const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) <= rhs;
+}
+
+template<class B, typename charT>
+inline bool
+operator >= (const charT* lhs, const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) >= rhs;
+}
+
+// compare unbounded_int to basic_string
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator == (const libtom_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs == libtom_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator != (const libtom_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs != libtom_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator < (const libtom_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs < libtom_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator > (const libtom_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs > libtom_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator <= (const libtom_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs <= libtom_integer<B>(rhs);
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator >= (const libtom_integer<B>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs >= libtom_integer<B>(rhs);
+}
+
+// compare basic_string to unbounded_int
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator == (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) == rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator != (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) != rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator < (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) < rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator > (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) > rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator <= (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) <= rhs;
+}
+
+template<class B, class charT, class Traits, class Alloc>
+inline bool
+operator >= (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const libtom_integer<B>& rhs)
+{
+ return libtom_integer<B>(lhs) >= rhs;
+}
+
+// Input/Output
+template<class B, typename charT, class traits>
+std::basic_istream<charT, traits>&
+operator >> (std::basic_istream<charT, traits>& is, libtom_integer<B>&)
+{
+ return is;
+}
+
+template<class B, typename charT, class traits>
+std::basic_ostream<charT, traits>&
+operator << (std::basic_ostream<charT, traits>& os, const libtom_integer<B>& x)
+{
+ return os << x.template to_string<std::string>(os.flags());
+}
+
+
+
+template<class B>
+inline libtom_integer<B> abs(const libtom_integer<B>& x)
+{
+ libtom_integer<B> nrv;
+ mp_abs(&x.get_mp_int(), &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline libtom_integer<B> gcd(const libtom_integer<B>& x, const libtom_integer<B>& y)
+{
+ libtom_integer<B> nrv;
+ mp_gcd(&x.get_mp_int(), &y.get_mp_int(), &nrv.get_mp_int());
+ return nrv;
+}
+
+#ifndef BOOST_NO_VARIADIC_TEMPLATES
+template<class B, class... LTMInteger>
+libtom_integer<B> gcd(const libtom_integer<B>& a,
+ const libtom_integer<B>& b,
+ const LTMInteger&... args)
+{
+ return gcd(gcd(a, b), args...);
+}
+#endif
+
+template<class B>
+inline libtom_integer<B> lcm(const libtom_integer<B>& x, const libtom_integer<B>& y)
+{
+ libtom_integer<B> nrv;
+ mp_lcm(&x.get_mp_int(), &y.get_mp_int(), &nrv.get_mp_int());
+ return nrv;
+}
+
+#ifndef BOOST_NO_VARIADIC_TEMPLATES
+template<class B, class... LTMInteger>
+libtom_integer<B> lcm(const libtom_integer<B>& a,
+ const libtom_integer<B>& b,
+ const LTMInteger&... args)
+{
+ return lcm(lcm(a, b), args...);
+}
+#endif
+
+template<class B>
+inline
+libtom_integer<B>
+pow(const libtom_integer<B>& x, typename libtom_integer<B>::digit_type y)
+{
+ libtom_integer<B> nrv;
+ mp_expt_d(&x.get_mp_int(), y, &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B> pow(const libtom_integer<B>& x, const libtom_integer<B>& y)
+{
+ libtom_integer<B> nrv;
+ mp_expt_d(&x.get_mp_int(),
+ y.template to_integral<unsigned long>(),
+ &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+sqrt(const libtom_integer<B>& x)
+{
+ libtom_integer<B> nrv;
+ mp_sqrt(&x.get_mp_int(), &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+nth_root(typename libtom_integer<B>::digit_type n, const libtom_integer<B>& x)
+{
+ libtom_integer<B> nrv;
+ mp_n_root(&x.get_mp_int(), n, &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+nth_root(const libtom_integer<B>& n, const libtom_integer<B>& x)
+{
+ libtom_integer<B> nrv;
+ mp_n_root(&x.get_mp_int(), n, &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B>
+modinv(const libtom_integer<B>& x, const libtom_integer<B>& m)
+{
+ libtom_integer<B> nrv;
+ mp_invmod(&x.get_mp_int(), &m.get_mp_int(), &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+libtom_integer<B> modpow(const libtom_integer<B>& base,
+ const libtom_integer<B>& exp,
+ const libtom_integer<B>& mod,
+ modpow_ctx<libtom_integer<B> >* ctx = 0)
+{
+ libtom_integer<B> nrv;
+ mp_exptmod(&base.get_mp_int(), &exp.get_mp_int(), &mod.get_mp_int(),
+ &nrv.get_mp_int());
+ return nrv;
+}
+
+template<class B>
+inline
+int jacobi(const libtom_integer<B>& x, const libtom_integer<B>& y)
+{
+ int j;
+ mp_jacobi(&x.get_mp_int(), &y.get_mp_int(), &j);
+ return j;
+}
+
+
+
+} // namespace mp_math
+} // namespace boost
+
+#endif
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/mod.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/mod.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,27 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-// *this % 2**b
-template<class A, class T>
-void mp_int<A,T>::modulo_2_to_the_power_of(size_type b)
-{
- // if modulus >= *this then return
- if (b >= size_ * valid_bits)
- return;
-
- // zero digits above the last digit of the modulus
- const size_type offset = (b / valid_bits) + ((b % valid_bits) == 0 ? 0 : 1);
- std::memset(digits_ + offset, 0, sizeof(digit_type) * (size_ - offset));
-
- // clear remaining high bits
- const digit_type mask = (1 << (static_cast<digit_type>(b % valid_bits))) - 1;
- digits_[b / valid_bits] &= mask;
-
- clamp();
-
- if (!*this)
- set_sign(1);
-}
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/modinv.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/modinv.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,41 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_MODINV_HPP
-#define BOOST_MP_MATH_MP_INT_MODINV_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-#include <boost/mp_math/mp_int/detail/modinv.hpp>
-
-
-namespace boost {
-namespace mp_math {
-
-
-// hac 14.61, pp608
-// returns the modular multiplicative inverse x of a (mod m) such that
-// x*a = 1 (mod m) =>
-// a^-1 = x (mod m)
-// The inverse exists only if a and m are coprime (i.e. gcd(a,m) = 1).
-// If no inverse exists this function will throw std::domain_error.
-template<class A, class T>
-mp_int<A,T> modinv(const mp_int<A,T>& a, const mp_int<A,T>& m)
-{
- if (m.is_negative() || !m)
- throw std::domain_error("modinv: modulus is negative or zero");
-
- // if the modulus is odd we can use a faster routine
- if (m.is_odd())
- return detail::odd_modinv(a, m);
- else
- return detail::even_modinv(a, m);
-}
-
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/modpow.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/modpow.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,70 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_MODPOW_HPP
-#define BOOST_MP_MATH_MP_INT_MODPOW_HPP
-
-#include <boost/mp_math/mp_int/modpow_ctx.hpp>
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-#include <boost/mp_math/mp_int/detail/modpow.hpp>
-#include <boost/mp_math/mp_int/detail/modular_reduction.hpp>
-
-namespace boost {
-namespace mp_math {
-
-// z = base^exp % mod
-template<class A, class T>
-mp_int<A,T> modpow(const mp_int<A,T>& base,
- const mp_int<A,T>& exp,
- const mp_int<A,T>& mod,
- modpow_ctx<A,T>* ctx = 0)
-{
- if (mod.is_negative())
- throw std::domain_error("modpow: modulus must be positive");
-
- typedef modpow_ctx<A,T> ctx_t;
-
- ctx_t tmp_ctx;
-
- if (!ctx)
- {
- tmp_ctx.detect_modulus_type(mod);
- tmp_ctx.precalculate(mod);
- ctx = &tmp_ctx;
- }
- else
- {
- if (!ctx->precalculated)
- {
- ctx->detect_modulus_type(mod);
- ctx->precalculate(mod);
- }
- }
-
- if (exp.is_negative())
- return modpow(modinv(base, mod), abs(exp), mod, ctx);
-
- switch (ctx->modulus_type)
- {
- case ctx_t::mod_restricted_dr:
- return detail::montgomery_modpow(base, exp, mod, 1, ctx->rho);
- case ctx_t::mod_unrestricted_dr:
- return detail::montgomery_modpow(base, exp, mod, 2, ctx->rho);
- case ctx_t::mod_unrestricted_dr_slow:
- return detail::barret_modpow (base, exp, mod, 1, ctx->mu);
- case ctx_t::mod_odd:
- return detail::montgomery_modpow(base, exp, mod, 0, ctx->rho);
- case ctx_t::mod_generic:
- default:
- return detail::barret_modpow (base, exp, mod, 0, ctx->mu);
- }
-}
-
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/modpow_ctx.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/modpow_ctx.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,185 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_MODPOW_CTX_HPP
-#define BOOST_MP_MATH_MP_INT_MODPOW_CTX_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-
-namespace boost {
-namespace mp_math {
-
-
-// r = x mod m given x and m
-template<class A, class T>
-struct modpow_ctx
-{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::word_type word_type;
- typedef typename mp_int<A,T>::size_type size_type;
-
- // dr means diminished radix
- enum modulus_type_t
- { // R is our radix, i.e. digit_max
- mod_restricted_dr, // m = R**k - d; d <= R
- mod_unrestricted_dr, // m = 2**k - d; d <= R
- mod_unrestricted_dr_slow, // m = 2**k - d; d < d**(k/2)
- mod_odd,
- mod_generic
- }modulus_type;
-
- modpow_ctx() : precalculated(false){}
-
- modulus_type_t do_detect(const mp_int<A,T>& m) const;
-
- void detect_modulus_type(const mp_int<A,T>& m)
- {
- modulus_type = do_detect(m);
- }
-
- void precalculate(const mp_int<A,T>& m);
-
- mp_int<A,T> mu;
- digit_type rho;
- bool precalculated;
-};
-
-
-template<class A, class T>
-typename modpow_ctx<A,T>::modulus_type_t
-modpow_ctx<A,T>::do_detect(const mp_int<A,T>& m) const
-{
- if (m.size() == 1)
- return mod_unrestricted_dr;
-
- typename mp_int<A,T>::size_type count = 0;
-
- const int bits = m.precision() % mp_int<A,T>::valid_bits;
-
- if (!bits && m[m.size()-1] == mp_int<A,T>::digit_max)
- ++count;
-
- for (typename mp_int<A,T>::const_reverse_iterator d = m.rbegin() + 1;
- d != m.rend(); ++d)
- {
- if (*d != mp_int<A,T>::digit_max)
- break;
- else
- ++count;
- }
-
- // if all bits are set
- if (count == m.size() - 1)
- return mod_restricted_dr;
-
- // if all bits until the most significant digit are set
- if (count == m.size() - 2)
- {
- bool all_bits_set = true;
-
- // handle the remaining bits in the most significant digit
- typename mp_int<A,T>::digit_type mask = 1;
- for (int i = 0; i < bits; ++i)
- {
- if ((m[m.size()-1] & mask) == 0)
- {
- all_bits_set = false;
- break;
- }
- mask <<= 1;
- }
- if (all_bits_set)
- return mod_unrestricted_dr;
- }
-
- // if more than half of the bits are set
- if (count >= m.size() / 2)
- return mod_unrestricted_dr_slow;
-
- if (m.is_odd())
- return mod_odd;
-
- return mod_generic;
-}
-
-template<class A, class T>
-void modpow_ctx<A,T>::precalculate(const mp_int<A,T>& m)
-{
- typedef typename mp_int<A,T>::digit_type digit_type;
- typedef typename mp_int<A,T>::word_type word_type;
-
- switch (modulus_type)
- {
- case mod_restricted_dr:
- {
- rho = (word_type(1) << static_cast<word_type>(mp_int<A,T>::valid_bits))
- - static_cast<word_type>(m[0]);
- break;
- }
- case mod_unrestricted_dr:
- {
- const size_type p = m.precision();
-
- mp_int<A,T> tmp;
- tmp.pow2(p);
- tmp.sub_smaller_magnitude(m);
-
- rho = tmp[0];
- break;
- }
- case mod_unrestricted_dr_slow:
- {
- mp_int<A,T> tmp;
-
- tmp.pow2(m.precision());
- mu = tmp - m;
- break;
- }
- case mod_odd:
- {
- assert(m.is_odd());
-
- // fast inversion mod 2**k
- //
- // Based on the fact that
- //
- // XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n)
- // => 2*X*A - X*X*A*A = 1
- // => 2*(1) - (1) = 1
- const digit_type b = m[0];
-
- static const typename mp_int<A,T>::size_type S =
- sizeof(digit_type) * std::numeric_limits<unsigned char>::digits;
-
- digit_type x = (((b + 2) & 4) << 1) + b; // here x*a==1 mod 2**4
- x *= 2 - b * x; // here x*a==1 mod 2**8
- if (S != 8)
- x *= 2 - b * x; // here x*a==1 mod 2**16
- if (S == 64 || !(S == 8 || S == 16))
- x *= 2 - b * x; // here x*a==1 mod 2**32
- if (S == 64)
- x *= 2 - b * x; // here x*a==1 mod 2**64
-
- // rho = -1/m mod b
- rho = (word_type(1) << (static_cast<word_type>(mp_int<A,T>::valid_bits))) - x;
- break;
- }
- case mod_generic:
- {
- // mu = b**2k/m
- mu.pow2(m.size() * 2 * mp_int<A,T>::digit_bits);
- mu /= m;
- break;
- }
- }
- precalculated = true;
-}
-
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/mp_int.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/mp_int.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,914 +0,0 @@
-// Copyright Kevin Sopp 2008 - 2009.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_MP_INT_HPP
-#define BOOST_MP_MATH_MP_INT_MP_INT_HPP
-
-#include <algorithm>
-#include <cassert>
-#include <cstring>
-#include <iosfwd>
-#include <iterator> // reverse_iterator
-#include <limits>
-#include <stdexcept>
-#include <sstream>
-#include <string>
-
-#include <boost/config.hpp>
-#include <boost/random.hpp>
-#include <boost/type_traits/is_integral.hpp>
-#include <boost/utility/enable_if.hpp>
-#include <boost/mp_math/mp_int/detail/div.hpp>
-#include <boost/mp_math/mp_int/detail/string_conversion_constants.hpp>
-#include <boost/mp_math/mp_int/detail/integral_ops.hpp>
-#include <boost/mp_math/mp_int/detail/meta_math.hpp>
-#include <boost/mp_math/mp_int/detail/primitive_ops.hpp>
-
-
-namespace boost {
-namespace mp_math {
-
-template<
- class Allocator,
- class Traits
->
-struct mp_int
-:
- Allocator::template rebind<typename Traits::digit_type>::other
-{
-private:
-
- typedef typename Allocator::template
- rebind<typename Traits::digit_type>::other base_allocator_type;
-
-public:
-
- typedef Allocator allocator_type;
- typedef Traits traits_type;
- typedef typename base_allocator_type::size_type size_type;
-
- mp_int();
-
- explicit mp_int(const allocator_type& a);
-
- template<typename IntegralT>
- mp_int(IntegralT,
- const allocator_type& a = allocator_type(),
- typename enable_if<is_integral<IntegralT> >::type* dummy = 0);
-
- template<typename charT>
- mp_int(const charT*, const allocator_type& a = allocator_type());
-
- template<typename charT>
- mp_int(const charT*,
- std::ios_base::fmtflags,
- const allocator_type& a = allocator_type());
-
- template<typename charT, class traits, class Alloc>
- mp_int(const std::basic_string<charT,traits,Alloc>&,
- const allocator_type& a = allocator_type());
-
- template<typename charT, class traits, class Alloc>
- mp_int(const std::basic_string<charT,traits,Alloc>&,
- std::ios_base::fmtflags,
- const allocator_type& a = allocator_type());
-
- template<typename RandomAccessIterator>
- mp_int(RandomAccessIterator first,
- RandomAccessIterator last,
- const allocator_type& a = allocator_type());
-
- template<typename RandomAccessIterator>
- mp_int(RandomAccessIterator first,
- RandomAccessIterator last,
- std::ios_base::fmtflags f,
- const allocator_type& a = allocator_type());
-
- mp_int(const mp_int& copy);
-
- #ifdef BOOST_HAS_RVALUE_REFS
- mp_int(mp_int&& copy);
- #endif
-
- ~mp_int();
-
- mp_int& operator = (const mp_int& rhs);
-
- #ifdef BOOST_HAS_RVALUE_REFS
- mp_int& operator = (mp_int&& rhs);
- #endif
-
- template<typename IntegralT>
- mp_int& operator = (IntegralT rhs);
-
- template<typename charT>
- mp_int& operator = (const charT*);
-
- template<typename charT, class traits, class Alloc>
- mp_int& operator = (const std::basic_string<charT,traits,Alloc>&);
-
- template<typename charT>
- void assign(const charT*, std::ios_base::fmtflags);
-
- template<typename charT, class traits, class Alloc>
- void assign(const std::basic_string<charT,traits,Alloc>&,
- std::ios_base::fmtflags);
-
- template<typename RandomAccessIterator>
- void assign(RandomAccessIterator first, RandomAccessIterator last,
- std::ios_base::fmtflags);
-
- #ifdef BOOST_HAS_RVALUE_REFS
- void swap(mp_int&& other);
- #else
- void swap(mp_int& other);
- #endif
-
- mp_int& operator ++();
- mp_int& operator --();
- mp_int operator ++(int);
- mp_int operator --(int);
- mp_int& operator <<= (size_type);
- mp_int& operator >>= (size_type);
- mp_int& operator - ();
-
- mp_int& operator += (const mp_int&);
- mp_int& operator -= (const mp_int&);
- mp_int& operator *= (const mp_int&);
- mp_int& operator /= (const mp_int&);
- mp_int& operator %= (const mp_int&);
- mp_int& operator |= (const mp_int&);
- mp_int& operator &= (const mp_int&);
- mp_int& operator ^= (const mp_int&);
-
- template<typename IntegralT> mp_int& operator += (IntegralT);
- template<typename IntegralT> mp_int& operator -= (IntegralT);
- template<typename IntegralT> mp_int& operator *= (IntegralT);
- template<typename IntegralT> mp_int& operator /= (IntegralT);
- template<typename IntegralT> mp_int& operator %= (IntegralT);
- template<typename IntegralT> mp_int& operator |= (IntegralT);
- template<typename IntegralT> mp_int& operator &= (IntegralT);
- template<typename IntegralT> mp_int& operator ^= (IntegralT);
-
- template<typename charT> mp_int& operator += (const charT*);
- template<typename charT> mp_int& operator -= (const charT*);
- template<typename charT> mp_int& operator *= (const charT*);
- template<typename charT> mp_int& operator /= (const charT*);
- template<typename charT> mp_int& operator %= (const charT*);
- template<typename charT> mp_int& operator |= (const charT*);
- template<typename charT> mp_int& operator &= (const charT*);
- template<typename charT> mp_int& operator ^= (const charT*);
-
- template<typename charT, class traits, class Alloc>
- mp_int& operator += (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator -= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator *= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator /= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator %= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator |= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator &= (const std::basic_string<charT,traits,Alloc>&);
- template<typename charT, class traits, class Alloc>
- mp_int& operator ^= (const std::basic_string<charT,traits,Alloc>&);
-
- allocator_type get_allocator() const { return allocator_type(); }
-
-private:
-
- typedef size_type mp_int::*unspecified_bool_type;
-
-public:
-
- operator unspecified_bool_type() const
- {
- return !(size_ == 1 && digits_[0] == 0) ? &mp_int::size_ : 0;
- }
-
- bool is_even() const { return (digits_[0] & digit_type(1)) == 0; }
- bool is_odd () const { return (digits_[0] & digit_type(1)) == 1; }
-
- bool is_positive() const { return sign() == 1; }
- bool is_negative() const { return sign() == -1; }
-
- template<class StringT>
- StringT to_string(std::ios_base::fmtflags f = std::ios_base::dec) const;
-
- template<typename IntegralT>
- IntegralT to_integral() const;
-
-public: // low level interface
-
- typedef typename traits_type::digit_type digit_type;
- typedef typename traits_type::word_type word_type;
- typedef typename traits_type::digit_type* iterator;
- typedef const typename traits_type::digit_type* const_iterator;
- typedef std::reverse_iterator<iterator> reverse_iterator;
- typedef std::reverse_iterator<const_iterator> const_reverse_iterator;
- typedef detail::primitive_ops<digit_type, word_type, size_type> ops_type;
-
- // bits per digit, we subtract one because we count from 0
- static const int valid_bits = std::numeric_limits<digit_type>::digits;
- static const int digit_bits = std::numeric_limits<digit_type>::digits;
- // used to mask off the most significant bit(s)
- static const digit_type mp_mask = (word_type(1) << valid_bits) - 1;
- static const size_type mp_warray = 512;
- //1 << (std::numeric_limits<word_type>::digits - 2 * valid_bits + 1);
- static const digit_type digit_max = static_cast<digit_type>(-1);
-
- static const size_type sign_bit =
- size_type(1) << (std::numeric_limits<size_type>::digits - 1U);
-
- template<typename RandomAccessIterator>
- void init(RandomAccessIterator first, RandomAccessIterator last);
-
- template<typename RandomAccessIterator>
- void init(RandomAccessIterator first, RandomAccessIterator last,
- std::ios_base::fmtflags f);
-
- iterator begin() { return digits_; }
- iterator end () { return digits_ + size_; }
- const_iterator begin() const { return digits_; }
- const_iterator end () const { return digits_ + size_; }
- reverse_iterator rbegin() { return reverse_iterator(end()); }
- reverse_iterator rend () { return reverse_iterator(begin()); }
- const_reverse_iterator rbegin() const { return const_reverse_iterator(end()); }
- const_reverse_iterator rend () const { return const_reverse_iterator(begin()); }
-
- digit_type& operator[](size_type i) { return digits_[i]; }
- const digit_type& operator[](size_type i) const { return digits_[i]; }
-
- digit_type& at(size_type i)
- {
- if (i >= size_)
- throw std::out_of_range("mp_int::at: array subscript out of range");
- return digits_[i];
- }
-
- const digit_type& at(size_type i) const
- {
- if (i >= size_)
- throw std::out_of_range("mp_int::at: array subscript out of range");
- return digits_[i];
- }
-
- void push(digit_type x) { digits_[size_++] = x; }
- void pop() { --size_; }
-
- void zero();
-
- // debug functionality
- void print(bool all=false) const;
- bool test_invariants() const;
-
- bool is_uninitialized() const { return !size_; }
-
- size_type size() const { return size_; }
- size_type capacity() const
- {
- return capacity_ & ~sign_bit;
- }
-
- void set_capacity(size_type c)
- {
- capacity_ &= sign_bit;
- capacity_ |= c;
- }
-
- void set_size(size_type s) { size_ = s; }
-
- int sign() const
- {
- return (capacity_ & sign_bit) ? -1 : 1;
- }
-
- void set_sign(int s)
- {
- if (s == 1)
- capacity_ &= ~sign_bit;
- else
- capacity_ |= sign_bit;
- }
-
- digit_type* digits() { return digits_; }
- const digit_type* digits() const { return digits_; }
-
- void grow_capacity(size_type n);
- void clamp();
- void clamp_high_digit();
-
- int compare_magnitude(const mp_int& rhs) const;
- int compare_to_digit(digit_type) const;
- int compare(const mp_int& rhs) const;
-
- void add_magnitude(const mp_int& rhs);
- void sub_smaller_magnitude(const mp_int& rhs);
-
- bool is_power_of_two() const;
- void add_digit(digit_type);
- void sub_digit(digit_type);
-
- void shift_digits_left(size_type);
- void shift_digits_right(size_type);
-
- void multiply_by_digit(digit_type);
- void karatsuba_mul(const mp_int&);
- void toom_cook_mul(const mp_int&);
- void multiply_by_2();
- void mul_digits(const mp_int&, size_type num_digits);
- void mul_high_digits(const mp_int&, size_type num_digits);
- void fast_mul_digits(const mp_int&, size_type num_digits);
- void fast_mul_high_digits(const mp_int&, size_type num_digits);
-
- void sqr();
- void toom_sqr();
- void karatsuba_sqr();
- void comba_sqr();
-
- digit_type divide_by_digit(digit_type); // returns remainder
- void divide_by_2();
- digit_type divide_by_3();
- void modulo_2_to_the_power_of(size_type);
- size_type count_lsb() const;
- void shift_right(size_type b, mp_int* remainder);
-
- void pow2(size_type b);
-
- void set_least_significant_bit()
- {
- digits_[0] |= digit_type(1);
- }
-
- void set_bit(size_type bit)
- {
- digits_[bit / valid_bits] |= digit_type(1) << (bit % valid_bits);
- }
-
- void clear_bit(size_type bit)
- {
- digits_[bit / valid_bits] &= ~(digit_type(1) << (bit % valid_bits));
- }
-
- void set_bits(size_type beg, size_type end);
- void clear_bits(size_type beg, size_type end);
-
- void truncate(size_type prec);
-
- size_type precision() const;
-
- void set_precision(size_type bits)
- {
- size_ = (bits + (valid_bits - 1)) / valid_bits;
- }
-
- template<class A, class T>
- friend bool operator == (const mp_int<A,T>&, const mp_int<A,T>&);
-
- template<class A, class T>
- friend bool operator < (const mp_int<A,T>&, const mp_int<A,T>&);
-
- template<typename Iter>
- void from_string(Iter first, Iter last, unsigned radix);
-
-private:
-
- digit_type* digits_;
- size_type size_, capacity_;
-};
-
-
-
-template<class A, class T>
-void mp_int<A,T>::print(bool all) const
-{
- using std::cout;
- if (is_negative())
- cout << '-';
- cout << size_ << "{";
- for (size_type i = 0; i < size_; ++i)
- {
- cout << static_cast<word_type>(digits_[i]);
- if (i < size_ - 1)
- cout << ",";
- }
- cout << "}";
-
- if (all)
- {
- cout << capacity() - size_ << "{";
- for (size_type i = size_; i < capacity(); ++i)
- {
- cout << static_cast<word_type>(digits_[i]);
- if (i < capacity() - 1)
- cout << ",";
- }
- cout << "}";
- }
- cout << "\n";
-}
-
-template<class A, class T>
-bool mp_int<A,T>::test_invariants() const
-{
- if (size_) // don't test uninitialized mp_ints
- {
- if (size_ > capacity())
- return false;
- if (digits_[size_-1] == 0U)
- return false;
- if (!*this && sign() != 1)
- return false;
- }
- return true;
-}
-
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator = (const mp_int<A,T>& rhs)
-{
- if (this != &rhs)
- {
- if ((capacity() == 0) || (capacity() < rhs.capacity()))
- mp_int(rhs).swap(*this);
- else
- {
- std::memcpy(digits_, rhs.digits_, rhs.size_ * sizeof(digit_type));
- size_ = rhs.size_;
- set_sign(rhs.sign());
- }
- }
- return *this;
-}
-
-#ifdef BOOST_HAS_RVALUE_REFS
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator = (mp_int<A,T>&& rhs)
-{
- if (this != &rhs)
- {
- if (digits_)
- this->deallocate(digits_, capacity());
- digits_ = 0;
- size_ = 0;
- capacity_ = 0;
- swap(rhs);
- }
- return *this;
-}
-#endif
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator = (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::assign(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename charT>
-mp_int<A,T>& mp_int<A,T>::operator = (const charT* s)
-{
- size_ = 0;
- init(s, s + std::char_traits<charT>::length(s));
- return *this;
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-mp_int<A,T>& mp_int<A,T>::operator = (const std::basic_string<charT,traits,Alloc>& s)
-{
- size_ = 0;
- init(s.begin(), s.end());
- return *this;
-}
-
-template<class A, class T>
-template<typename charT>
-inline void
-mp_int<A,T>::assign(const charT* s, std::ios_base::fmtflags f)
-{
- assign(s, s + std::char_traits<charT>::length(s), f);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline void
-mp_int<A,T>::assign(const std::basic_string<charT,traits,Alloc>& s,
- std::ios_base::fmtflags f)
-{
- assign(s.begin(), s.end(), f);
-}
-
-template<class A, class T>
-template<typename RandomAccessIterator>
-inline void
-mp_int<A,T>::assign(RandomAccessIterator first, RandomAccessIterator last,
- std::ios_base::fmtflags f)
-{
- size_ = 0;
- init(first, last, f);
-}
-
-
-template<class A, class T>
-#ifdef BOOST_HAS_RVALUE_REFS
-void mp_int<A,T>::swap(mp_int&& other)
-#else
-void mp_int<A,T>::swap(mp_int& other)
-#endif
-{
- std::swap(digits_, other.digits_);
- std::swap(size_, other.size_);
- std::swap(capacity_, other.capacity_);
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator += (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::add(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator -= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::subtract(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator *= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::multiply(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator /= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::divide(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator %= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::modulo(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator |= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::bitwise_or(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator &= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::bitwise_and(*this, rhs);
- return *this;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline mp_int<A,T>& mp_int<A,T>::operator ^= (IntegralT rhs)
-{
- detail::integral_ops<IntegralT>::bitwise_xor(*this, rhs);
- return *this;
-}
-
-
-template<class A, class T>
-void mp_int<A,T>::zero()
-{
- grow_capacity(1);
- digits_[0] = 0;
- size_ = 1;
- set_sign(1);
-}
-
-template<class A, class T>
-void mp_int<A,T>::grow_capacity(size_type n)
-{
- if (capacity() < n)
- {
- if (n < sign_bit)
- {
- const size_type new_cap = capacity() + capacity();
- if (new_cap > n)
- n = new_cap;
- digit_type* d = this->allocate(n, digits_);
- std::memcpy(d, digits_, sizeof(digit_type) * size_);
- this->deallocate(digits_, capacity());
- digits_ = d;
- set_capacity(n);
- }
- else
- throw std::bad_alloc();
- }
-}
-
-// This is used to ensure that leading zero digits are trimmed.
-template<class A, class T>
-void mp_int<A,T>::clamp()
-{
- while (size_ > 1 && digits_[size_-1] == 0)
- --size_;
-}
-
-// For when we know that only one leading zero digit may exist.
-template<class A, class T>
-inline void mp_int<A,T>::clamp_high_digit()
-{
- if (size_ > 1 && digits_[size_-1] == 0)
- --size_;
-}
-
-// disregards the sign of the numbers
-// return 1 if *this is greater
-// returns 0 if both are equal
-// return -1 if *this is smaller
-template<class A, class T>
-int mp_int<A,T>::compare_magnitude(const mp_int& rhs) const
-{
- // compare based on # of non-zero digits
- if (size_ > rhs.size_)
- return 1;
-
- if (size_ < rhs.size_)
- return -1;
-
- // compare based on digits
- const_reverse_iterator d = rbegin();
- const_reverse_iterator d2 = rhs.rbegin();
- for (; d != rend(); ++d, ++d2)
- {
- if (*d > *d2)
- return 1;
- if (*d < *d2)
- return -1;
- }
- return 0;
-}
-
-template<class A, class T>
-int mp_int<A,T>::compare_to_digit(digit_type d) const
-{
- // compare based on sign
- if (is_negative())
- return -1;
-
- // compare based on magnitude
- if (size_ > 1)
- return 1;
-
- // compare the only digit of *this to d
- if (digits_[0] > d)
- return 1;
- else if (digits_[0] < d)
- return -1;
- else
- return 0;
-}
-
-template<class A, class T>
-int mp_int<A,T>::compare(const mp_int& rhs) const
-{
- if (sign() != rhs.sign())
- {
- if (is_negative())
- return -1;
- else
- return 1;
- }
-
- if (is_negative())
- // if negative compare opposite direction
- return rhs.compare_magnitude(*this);
- else
- return compare_magnitude(rhs);
-}
-
-// {A,B,C,D,E} shifted left by 2 digits becomes
-// {0,0,A,B,C,D,E}
-template<class A, class T>
-void mp_int<A,T>::shift_digits_left(size_type b)
-{
- if (b <= 0)
- return;
-
- grow_capacity(size_ + b);
-
- std::memmove(digits_ + b, digits_, size_ * sizeof(digit_type));
-
- // zero the lower digits
- std::memset(digits_, 0, b * sizeof(digit_type));
-
- size_ += b;
-}
-
-// {A,B,C,D,E} shifted right by 2 digits becomes
-// {C,D,E}
-template<class A, class T>
-void mp_int<A,T>::shift_digits_right(size_type b)
-{
- if (b <= 0)
- return;
-
- if (size_ <= b)
- {
- zero();
- return;
- }
-
- // shift the digits down
- std::memmove(digits_, digits_ + b, (size_ - b) * sizeof(digit_type));
-
- // zero the top digits
- std::memset(digits_ + size_ - b, 0, b * sizeof(digit_type));
-
- // remove excess digits
- size_ -= b;
-}
-
-template<class A, class T>
-typename mp_int<A,T>::size_type
-mp_int<A,T>::precision() const
-{
- // get number of digits and add that
- size_type p = (size_ - 1) * valid_bits;
-
- // take the last digit and count the bits in it
- digit_type q = digits_[size_ - 1];
- while (q > 0U)
- {
- ++p;
- q >>= 1;
- }
- return p;
-}
-
-// Counts the number of lsbs which are zero before the first one bit
-template<class A, class T>
-typename mp_int<A,T>::size_type
-mp_int<A,T>::count_lsb() const
-{
- static const size_type lnz[16] = {
- 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0
- };
-
- if (!*this)
- return 0;
-
- // scan lower digits until non-zero
- size_type x = 0;
- while (x < size_ && digits_[x] == 0)
- ++x;
- digit_type q = digits_[x];
- x *= valid_bits;
-
- // now scan this digit until a 1 is found
- if ((q & 1) == 0)
- {
- digit_type qq;
- do
- {
- qq = q & 15;
- x += lnz[qq];
- q >>= 4;
- } while (qq == 0);
- }
- return x;
-}
-
-template<class A, class T>
-template<typename IntegralT>
-inline IntegralT mp_int<A,T>::to_integral() const
-{
- return detail::integral_ops<IntegralT>::convert(*this);
-}
-
-template<class A, class T>
-void mp_int<A,T>::set_bits(size_type beg, size_type end)
-{
- const size_type beg_index = beg / digit_bits;
- const size_type end_index = end / digit_bits;
- const size_type first_bits = beg % digit_bits;
- const size_type last_bits = end % digit_bits;
-
- static const digit_type z = ~digit_type(0);
-
- digit_type mask = z << first_bits;
- if (beg_index == end_index && last_bits)
- mask &= z >> (digit_bits - last_bits);
-
- digits_[beg_index] |= mask;
-
- for (size_type i = beg_index + ((beg % digit_bits) ? 1 : 0); i < end_index; ++i)
- digits_[i] = digit_max;
-
- if (beg_index != end_index && last_bits)
- digits_[end_index] |= z >> (digit_bits - last_bits);
-}
-
-template<class A, class T>
-void mp_int<A,T>::clear_bits(size_type beg, size_type end)
-{
- const size_type beg_index = beg / digit_bits;
- const size_type end_index = end / digit_bits;
- const size_type first_bits = beg % digit_bits;
- const size_type last_bits = end % digit_bits;
-
- static const digit_type z = ~digit_type(0);
-
- digit_type mask;
- if (first_bits)
- mask = z >> (digit_bits - first_bits);
- else
- mask = 0;
-
- if (beg_index == end_index)
- mask |= z << last_bits;
-
- digits_[beg_index] &= mask;
-
- if (beg_index != end_index)
- {
- std::memset(digits_ + beg_index + 1, 0,
- sizeof(digit_type) * (end_index - beg_index - 1));
-
- digits_[end_index] &= z << last_bits;
- }
-}
-
-// don't forget to clamp() after truncating!
-template<class A, class T>
-void mp_int<A,T>::truncate(size_type prec)
-{
- set_precision(prec);
- const size_type last_bits = prec % valid_bits;
- if (last_bits)
- {
- static const digit_type z = ~digit_type(0);
- const digit_type mask = z >> (valid_bits - last_bits);
- digits_[size_ - 1] &= mask;
- }
-}
-
-
-template<class A, class T>
-inline void swap(mp_int<A,T>& lhs, mp_int<A,T>& rhs)
-{
- lhs.swap(rhs);
-}
-
-#ifdef BOOST_HAS_RVALUE_REFS
-template<class A, class T>
-inline void swap(mp_int<A,T>&& lhs, mp_int<A,T>& rhs)
-{
- lhs.swap(rhs);
-}
-template<class A, class T>
-inline void swap(mp_int<A,T>& lhs, mp_int<A,T>&& rhs)
-{
- lhs.swap(rhs);
-}
-#endif
-
-
-
-
-
-
-#include <boost/mp_math/mp_int/abs.hpp>
-#include <boost/mp_math/mp_int/add.hpp>
-#include <boost/mp_math/mp_int/ctors.hpp>
-#include <boost/mp_math/mp_int/div.hpp>
-#include <boost/mp_math/mp_int/mod.hpp>
-#include <boost/mp_math/mp_int/mul.hpp>
-#include <boost/mp_math/mp_int/operators.hpp>
-#include <boost/mp_math/mp_int/pow.hpp>
-#include <boost/mp_math/mp_int/random.hpp>
-#include <boost/mp_math/mp_int/sqr.hpp>
-#include <boost/mp_math/mp_int/sub.hpp>
-#include <boost/mp_math/mp_int/string_conversion.hpp>
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/mp_int_fwd.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/mp_int_fwd.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,26 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_MP_INT_FWD_HPP
-#define BOOST_MP_MATH_MP_INT_MP_INT_FWD_HPP
-
-#include <memory>
-#include <boost/mp_math/mp_int/traits.hpp>
-
-
-namespace boost {
-namespace mp_math {
-
-template<
- class Allocator = std::allocator<void>,
- class Traits = mp_int_traits<>
->
-struct mp_int;
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/mul.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/mul.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,361 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-// multiplies by a single digit
-template<class A, class T>
-void mp_int<A,T>::multiply_by_digit(digit_type x)
-{
- if (x == 0)
- {
- zero();
- return;
- }
- else if (x == 1)
- return;
-
- // make sure we can hold the result
- grow_capacity(size_ + 1);
-
- const digit_type carry =
- ops_type::multiply_by_digit(digits(), digits(), size(), x);
-
- if (carry)
- push(carry);
-}
-
-/* *this *= 2 */
-template<class A, class T>
-void mp_int<A,T>::multiply_by_2()
-{
- grow_capacity(size_ + 1);
-
- const digit_type carry =
- ops_type::multiply_by_two(digits(), digits(), size());
-
- if (carry)
- push(carry);
-}
-
-
-// multiplication using the Toom-Cook 3-way algorithm
-//
-// Much more complicated than Karatsuba but has a lower
-// asymptotic running time of O(N**1.464). This algorithm is
-// only particularly useful on VERY large inputs
-// (we're talking 1000s of digits here...).
-template<class A, class T>
-void mp_int<A,T>::toom_cook_mul(const mp_int& b)
-{
- const size_type B = std::min(size_, b.size_) / 3;
-
- // a = a2 * B**2 + a1 * B + a0
- mp_int a0(*this);
- a0.modulo_2_to_the_power_of(valid_bits * B);
- mp_int a1(*this);
- a1.shift_digits_right(B);
- a1.modulo_2_to_the_power_of(valid_bits * B);
- mp_int a2(*this);
- a2.shift_digits_right(B*2);
-
- // b = b2 * B**2 + b1 * B + b0
- mp_int b0(b);
- b0.modulo_2_to_the_power_of(valid_bits * B);
- mp_int b1(b);
- b1.shift_digits_right(B);
- b1.modulo_2_to_the_power_of(valid_bits * B);
- mp_int b2(b);
- b2.shift_digits_right(B*2);
-
- // w0 = a0*b0
- const mp_int w0(a0 * b0);
-
- // w4 = a2 * b2
- mp_int w4 = a2 * b2;
-
- // w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0))
- mp_int tmp1 = a0;
- tmp1.multiply_by_2();
- tmp1 += a1;
- tmp1.multiply_by_2();
- tmp1 += a2;
-
- mp_int tmp2 = b0;
- tmp2.multiply_by_2();
- tmp2 += b1;
- tmp2.multiply_by_2();
- tmp2 += b2;
-
- mp_int w1 = tmp1 * tmp2;
-
- // w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2))
- tmp1 = a2;
- tmp1.multiply_by_2();
- tmp1 += a1;
- tmp1.multiply_by_2();
- tmp1 += a0;
-
- tmp2 = b2;
- tmp2.multiply_by_2();
- tmp2 += b1;
- tmp2.multiply_by_2();
- tmp2 += b0;
-
- mp_int w3 = tmp1 * tmp2;
-
- // w2 = (a2 + a1 + a0)(b2 + b1 + b0)
- tmp1 = a2 + a1;
- tmp1 += a0;
- tmp2 = b2 + b1;
- tmp2 += b0;
- mp_int w2 = tmp1 * tmp2;
-
- // now solve the matrix
- //
- // 0 0 0 0 1
- // 1 2 4 8 16
- // 1 1 1 1 1
- // 16 8 4 2 1
- // 1 0 0 0 0
- //
- // using 12 subtractions, 4 shifts,
- // 2 small divisions and 1 small multiplication
-
- // r1 - r4
- w1 -= w4;
- // r3 - r0
- w3 -= w0;
- // r1/2
- w1.divide_by_2();
- // r3/2
- w3.divide_by_2();
- // r2 - r0 - r4
- w2 -= w0;
- w2 -= w4;
- // r1 - r2
- w1 -= w2;
- // r3 - r2
- w3 -= w2;
- // r1 - 8r0
- tmp1 = w0 << 3;
- w1 -= tmp1;
- // r3 - 8r4
- tmp1 = w4 << 3;
- w3 -= tmp1;
- // 3r2 - r1 - r3
- w2.multiply_by_digit(3);
- w2 -= w1;
- w2 -= w3;
- // r1 - r2
- w1 -= w2;
- // r3 - r2
- w3 -= w2;
- // r1/3
- w1.divide_by_3();
- // r3/3
- w3.divide_by_3();
-
- // at this point shift W[n] by B*n
- w1.shift_digits_left(1*B);
- w2.shift_digits_left(2*B);
- w3.shift_digits_left(3*B);
- w4.shift_digits_left(4*B);
-
- *this = w0 + w1;
- tmp1 = w2 + w3;
- tmp1 += w4;
- *this += tmp1;
-}
-
-// c = |a| * |b| using Karatsuba Multiplication using
-// three half size multiplications
-//
-// Let B represent the radix [e.g. 2**valid_bits] and
-// let n represent half of the number of digits in
-// the min(a,b)
-//
-// a = x1 * B**n + x0
-// b = y1 * B**n + y0
-//
-// Then, a * b =>
-// x1y1 * B**2n + ((x1 + x0)(y1 + y0) - (x0y0 + x1y1)) * B + x0y0
-//
-// Note that x1y1 and x0y0 are used twice and only need to be
-// computed once. So in total three half size (half # of
-// digit) multiplications are performed, x0y0, x1y1 and
-// (x1+y1)(x0+y0)
-//
-// Note that a multiplication of half the digits requires
-// 1/4th the number of single precision multiplications so in
-// total after one call 25% of the single precision multiplications
-// are saved. Note also that the call to mp_mul can end up back
-// in this function if the x0, x1, y0, or y1 are above the threshold.
-// This is known as divide-and-conquer and leads to the famous
-// O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than
-// the standard O(N**2) that the baseline/comba methods use.
-// Generally though the overhead of this method doesn't pay off
-// until a certain size (N ~ 80) is reached.
-template<class A, class T>
-void mp_int<A,T>::karatsuba_mul(const mp_int& b)
-{
- mp_int x0, x1, y0, y1, /*tmp,*/ x0y0, x1y1;
-
- // min # of digits
- const size_type B = std::min(size_, b.size_) / 2;
-
- // allocate memory
- x0.grow_capacity(B);
- x1.grow_capacity(size_ + b.size_);
- y0.grow_capacity(B);
- y1.grow_capacity(b.size_ - B + 1);
-
- // set size_ count
- x0.size_ = y0.size_ = B;
- x1.size_ = size_ - B;
- y1.size_ = b.size_ - B;
-
- // copy digits over
- static const size_type s = sizeof(digit_type);
- std::memcpy(x0.digits_, digits_, s * B);
- std::memcpy(y0.digits_, b.digits_, s * B);
- std::memcpy(x1.digits_, digits_ + B, s * ( size_ - B));
- std::memcpy(y1.digits_, b.digits_ + B, s * (b.size_ - B));
-
- // only need to clamp the lower words since by definition the
- // upper words x1/y1 must have a known number of digits
- x0.clamp();
- y0.clamp();
-
- // now evaluate the term
- // x1y1 * B**2n + ((x1 + x0)(y1 + y0) - (x0y0 + x1y1)) * B + x0y0
-
- // first calc the products x0y0 and x1y1
- x0y0 = x0 * y0;
- x1y1 = x1 * y1;
-
- // tmp = (x1 + x0) * (y1 + y0)
- x1.add_magnitude(x0);
- y1.add_magnitude(y0);
- // we don't need a tmp just reuse x1
- x1 *= y1;
-
- // tmp -= (x0y0 + x1y1);
- x1.sub_smaller_magnitude(x0y0);
- x1.sub_smaller_magnitude(x1y1);
-
- // shift by B
- x1.shift_digits_left(B);
- x1y1.shift_digits_left(B * 2);
-
- x1.add_magnitude(x0y0);
- x1.add_magnitude(x1y1);
- swap(x1);
-}
-
-
-// multiplies |a| * |b| and only computes up to digs digits of result
-// HAC pp. 595, Algorithm 14.12 Modified so you can control how
-// many digits of output are created.
-template<class A, class T>
-void mp_int<A,T>::mul_digits(const mp_int& b, size_type digs)
-{
- mp_int tmp;
- tmp.grow_capacity(digs);
- // zero allocated digits
- std::memset(tmp.digits_, 0, sizeof(digit_type) * digs);
- tmp.size_ = digs;
-
- // compute the digits of the product directly
- for (size_type i = 0; i < size_; ++i)
- {
- digit_type carry = 0;
-
- // limit ourselves to making digs digits of output
- const size_type pb = std::min(b.size_, digs - i);
-
- // compute the columns of the output and propagate the carry
- for (size_type j = 0; j < pb; ++j)
- {
- // compute the column as a word_type
- const word_type r = static_cast<word_type>(tmp[i+j])
- + static_cast<word_type>(digits_[i])
- * static_cast<word_type>(b[j])
- + static_cast<word_type>(carry);
-
- // the new column is the lower part of the result
- tmp[i+j] = static_cast<digit_type>(r);
-
- // get the carry word from the result
- carry = static_cast<digit_type>(r >> static_cast<word_type>(valid_bits));
- }
- // set carry if it is placed below digs
- if (i + pb < digs)
- tmp[i+pb] = carry;
- }
-
- tmp.clamp();
-
- if (!tmp)
- tmp.set_sign(1);
-
- swap(tmp);
-}
-
-// FIXME no routine seems to use this
-//
-// multiplies |a| * |b| and does not compute the lower num digits
-// [meant to get the higher part of the product]
-template<class A, class T>
-void mp_int<A,T>::mul_high_digits(const mp_int& b, size_type num)
-{
- mp_int tmp;
- tmp.grow_capacity(size_ + b.size_ + 1);
- tmp.size_ = size_ + b.size_ + 1;
- std::memset(tmp.digits_, 0, sizeof(digit_type) * tmp.size_);
-
- for (size_type i = 0; i < size_; ++i)
- {
- iterator dst = tmp.begin() + num;
- const_iterator z = b.begin() + (num - i);
- digit_type carry = 0;
-
- for (size_type j = num - i; j < b.size_; ++j)
- {
- const word_type r = static_cast<word_type>(*dst)
- + static_cast<word_type>(digits_[i])
- * static_cast<word_type>(*z++)
- + static_cast<word_type>(carry);
-
- // get the lower part
- *dst++ = static_cast<digit_type>(r);
-
- // update carry
- carry = static_cast<digit_type>(r >> valid_bits);
- }
- *dst = carry;
- }
-
- tmp.clamp();
-
- if (!tmp)
- tmp.set_sign(1);
-
- swap(tmp);
-}
-
-
-// this is a modified version of fast_s_mul_digs that only produces
-// output digits *above* num. See the comments for fast_s_mul_digs
-// to see how it works.
-//
-// This is used in the Barrett reduction since for one of the multiplications
-// only the higher digits were needed. This essentially halves the work.
-//
-// Based on Algorithm 14.12 on pp.595 of HAC.
-template<class A, class T>
-void mp_int<A,T>::fast_mul_high_digits(const mp_int& b, size_type num)
-{
- mul_high_digits(b, num);
-}
-
Modified: sandbox/mp_math/boost/mp_math/integer/numeric_limits.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/numeric_limits.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/numeric_limits.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,28 +1,146 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
+#ifndef BOOST_MP_MATH_INTEGER_NUMERIC_LIMITS_HPP
+#define BOOST_MP_MATH_INTEGER_NUMERIC_LIMITS_HPP
+
+#include <limits>
+
namespace std
{
+template<class Alloc, class Traits>
+class numeric_limits<
+ boost::mp_math::unbounded_uint<Alloc,Traits>
+>
+{
+ typedef boost::mp_math::unbounded_uint<Alloc,Traits> int_type;
+
+public:
+
+ static const bool is_specialized = true;
+
+ static int_type min() throw() { return int_type(0U); }
+ static int_type max() throw() { return int_type(0U); }
+
+ static const int digits = 0;
+ static const int digits10 = 0;
+ static const bool is_signed = false;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 0;
+
+ // This is a Boost extension since the radix member above cannot hold the true
+ // radix.
+ static const typename int_type::digit_type max_radix_value =
+ int_type::max_digit_value;
+
+ static int_type epsilon () throw() { return int_type(0U); }
+ static int_type round_error() throw() { return int_type(0U); }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static int_type infinity () throw() { return int_type(0U); }
+ static int_type quiet_NaN () throw() { return int_type(0U); }
+ static int_type signaling_NaN() throw() { return int_type(0U); }
+ static int_type denorm_min () throw() { return int_type(0U); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = false;
+ static const bool is_modulo = false;
+
+ static const bool traps = false;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+};
+
+
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::is_specialized;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_uint<A,T> >::digits;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_uint<A,T> >::digits10;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::is_signed;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::is_integer;
template<class A, class T>
-class numeric_limits<boost::mp_math::mp_int<A,T> >
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::is_exact;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_uint<A,T> >::radix;
+template<class A, class T>
+const typename boost::mp_math::unbounded_uint<A,T>::digit_type
+numeric_limits<boost::mp_math::unbounded_uint<A,T> >::max_radix_value;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_uint<A,T> >::min_exponent;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_uint<A,T> >::min_exponent10;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_uint<A,T> >::max_exponent;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_uint<A,T> >::max_exponent10;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::has_infinity;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::has_quiet_NaN;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::has_signaling_NaN;
+template<class A, class T>
+const float_denorm_style numeric_limits<boost::mp_math::unbounded_uint<A,T> >::has_denorm;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::is_iec559;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::is_bounded;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::is_modulo;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::traps;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_uint<A,T> >::tinyness_before;
+template<class A, class T>
+const float_round_style numeric_limits<boost::mp_math::unbounded_uint<A,T> >::round_style;
+
+
+template<class Alloc, class Traits>
+class numeric_limits<
+ boost::mp_math::unbounded_int<Alloc,Traits>
+>
{
+ typedef boost::mp_math::unbounded_int<Alloc,Traits> int_type;
+
public:
static const bool is_specialized = true;
- static boost::mp_math::mp_int<A,T> min() throw() { return boost::mp_math::mp_int<A,T>(0U); }
- static boost::mp_math::mp_int<A,T> max() throw() { return boost::mp_math::mp_int<A,T>(0U); }
+
+ static int_type min() throw() { return int_type(0U); }
+ static int_type max() throw() { return int_type(0U); }
static const int digits = 0;
static const int digits10 = 0;
static const bool is_signed = true;
static const bool is_integer = true;
static const bool is_exact = true;
- static const int radix = 2;
- static boost::mp_math::mp_int<A,T> epsilon () throw() { return boost::mp_math::mp_int<A,T>(0U); }
- static boost::mp_math::mp_int<A,T> round_error() throw() { return boost::mp_math::mp_int<A,T>(0U); }
+ static const int radix = 0;
+
+ // This is a Boost extension since the radix member above cannot hold the true
+ // radix.
+ static const typename int_type::digit_type max_radix_value =
+ int_type::max_digit_value;
+
+ static int_type epsilon () throw() { return int_type(0U); }
+ static int_type round_error() throw() { return int_type(0U); }
static const int min_exponent = 0;
static const int min_exponent10 = 0;
@@ -34,19 +152,278 @@
static const bool has_signaling_NaN = false;
static const float_denorm_style has_denorm = denorm_absent;
static const bool has_denorm_loss = false;
- static boost::mp_math::mp_int<A,T> infinity () throw() { return boost::mp_math::mp_int<A,T>(0U); }
- static boost::mp_math::mp_int<A,T> quiet_NaN () throw() { return boost::mp_math::mp_int<A,T>(0U); }
- static boost::mp_math::mp_int<A,T> signaling_NaN() throw() { return boost::mp_math::mp_int<A,T>(0U); }
- static boost::mp_math::mp_int<A,T> denorm_min () throw() { return boost::mp_math::mp_int<A,T>(0U); }
+
+ static int_type infinity () throw() { return int_type(0U); }
+ static int_type quiet_NaN () throw() { return int_type(0U); }
+ static int_type signaling_NaN() throw() { return int_type(0U); }
+ static int_type denorm_min () throw() { return int_type(0U); }
static const bool is_iec559 = false;
static const bool is_bounded = false;
static const bool is_modulo = false;
- static const bool traps = false;
+ static const bool traps = false;
static const bool tinyness_before = false;
static const float_round_style round_style = round_toward_zero;
};
+
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::is_specialized;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_int<A,T> >::digits;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_int<A,T> >::digits10;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::is_signed;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::is_integer;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::is_exact;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_int<A,T> >::radix;
+template<class A, class T>
+const typename boost::mp_math::unbounded_int<A,T>::digit_type
+numeric_limits<boost::mp_math::unbounded_int<A,T> >::max_radix_value;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_int<A,T> >::min_exponent;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_int<A,T> >::min_exponent10;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_int<A,T> >::max_exponent;
+template<class A, class T>
+const int numeric_limits<boost::mp_math::unbounded_int<A,T> >::max_exponent10;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::has_infinity;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::has_quiet_NaN;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::has_signaling_NaN;
+template<class A, class T>
+const float_denorm_style numeric_limits<boost::mp_math::unbounded_int<A,T> >::has_denorm;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::is_iec559;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::is_bounded;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::is_modulo;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::traps;
+template<class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded_int<A,T> >::tinyness_before;
+template<class A, class T>
+const float_round_style numeric_limits<boost::mp_math::unbounded_int<A,T> >::round_style;
+
+
+template<bool Signed, class Alloc, class Traits>
+class numeric_limits<
+ boost::mp_math::unbounded<Signed,Alloc,Traits>
+>
+{
+ typedef boost::mp_math::unbounded<Signed,Alloc,Traits> int_type;
+
+public:
+
+ static const bool is_specialized = true;
+
+ static int_type min() throw() { return int_type(0U); }
+ static int_type max() throw() { return int_type(0U); }
+
+ static const int digits = 0;
+ static const int digits10 = 0;
+ static const bool is_signed = Signed;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 0;
+
+ // This is a Boost extension since the radix member above cannot hold the true
+ // radix.
+ static const typename int_type::digit_type max_radix_value =
+ int_type::max_digit_value;
+
+ static int_type epsilon () throw() { return int_type(0U); }
+ static int_type round_error() throw() { return int_type(0U); }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static int_type infinity () throw() { return int_type(0U); }
+ static int_type quiet_NaN () throw() { return int_type(0U); }
+ static int_type signaling_NaN() throw() { return int_type(0U); }
+ static int_type denorm_min () throw() { return int_type(0U); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = false;
+ static const bool is_modulo = false;
+
+ static const bool traps = false;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+};
+
+
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::is_specialized;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::unbounded<S,A,T> >::digits;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::unbounded<S,A,T> >::digits10;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::is_signed;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::is_integer;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::is_exact;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::unbounded<S,A,T> >::radix;
+template<bool S, class A, class T>
+const typename boost::mp_math::unbounded<S,A,T>::digit_type
+numeric_limits<boost::mp_math::unbounded<S,A,T> >::max_radix_value;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::unbounded<S,A,T> >::min_exponent;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::unbounded<S,A,T> >::min_exponent10;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::unbounded<S,A,T> >::max_exponent;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::unbounded<S,A,T> >::max_exponent10;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::has_infinity;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::has_quiet_NaN;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::has_signaling_NaN;
+template<bool S, class A, class T>
+const float_denorm_style numeric_limits<boost::mp_math::unbounded<S,A,T> >::has_denorm;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::is_iec559;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::is_bounded;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::is_modulo;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::traps;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::unbounded<S,A,T> >::tinyness_before;
+template<bool S, class A, class T>
+const float_round_style numeric_limits<boost::mp_math::unbounded<S,A,T> >::round_style;
+
+
+template<bool Signed, class Alloc, class Traits>
+class numeric_limits<
+ boost::mp_math::integer<
+ boost::mp_math::unbounded<Signed,Alloc,Traits>
+ >
+>
+{
+ typedef boost::mp_math::integer<
+ boost::mp_math::unbounded<Signed,Alloc,Traits>
+ > int_type;
+
+public:
+
+ static const bool is_specialized = true;
+
+ static int_type min() throw() { return int_type(0U); }
+ static int_type max() throw() { return int_type(0U); }
+
+ static const int digits = 0;
+ static const int digits10 = 0;
+ static const bool is_signed = Signed;
+ static const bool is_integer = true;
+ static const bool is_exact = true;
+ static const int radix = 0;
+
+ // This is a Boost extension since the radix member above cannot hold the true
+ // radix.
+ static const typename int_type::digit_type max_radix_value =
+ int_type::max_digit_value;
+
+ static int_type epsilon () throw() { return int_type(0U); }
+ static int_type round_error() throw() { return int_type(0U); }
+
+ static const int min_exponent = 0;
+ static const int min_exponent10 = 0;
+ static const int max_exponent = 0;
+ static const int max_exponent10 = 0;
+
+ static const bool has_infinity = false;
+ static const bool has_quiet_NaN = false;
+ static const bool has_signaling_NaN = false;
+ static const float_denorm_style has_denorm = denorm_absent;
+ static const bool has_denorm_loss = false;
+
+ static int_type infinity () throw() { return int_type(0U); }
+ static int_type quiet_NaN () throw() { return int_type(0U); }
+ static int_type signaling_NaN() throw() { return int_type(0U); }
+ static int_type denorm_min () throw() { return int_type(0U); }
+
+ static const bool is_iec559 = false;
+ static const bool is_bounded = false;
+ static const bool is_modulo = false;
+
+ static const bool traps = false;
+ static const bool tinyness_before = false;
+ static const float_round_style round_style = round_toward_zero;
+};
+
+
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::is_specialized;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::digits;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::digits10;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::is_signed;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::is_integer;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::is_exact;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::radix;
+template<bool S, class A, class T>
+const typename boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> >::digit_type
+numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::max_radix_value;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::min_exponent;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::min_exponent10;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::max_exponent;
+template<bool S, class A, class T>
+const int numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::max_exponent10;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::has_infinity;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::has_quiet_NaN;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::has_signaling_NaN;
+template<bool S, class A, class T>
+const float_denorm_style numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::has_denorm;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::is_iec559;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::is_bounded;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::is_modulo;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::traps;
+template<bool S, class A, class T>
+const bool numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::tinyness_before;
+template<bool S, class A, class T>
+const float_round_style numeric_limits<boost::mp_math::integer<boost::mp_math::unbounded<S,A,T> > >::round_style;
+
} // namespace std
+
+#endif
+
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/operators.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/operators.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,1019 +0,0 @@
-// Copyright Kevin Sopp 2008 - 2009.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-// compare mp_int to mp_int
-template<class A, class T>
-inline bool
-operator == (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- return lhs.sign() == rhs.sign() && lhs.size() == rhs.size() &&
- std::equal(lhs.begin(), lhs.end(), rhs.begin());
-}
-
-template<class A, class T>
-inline bool
-operator != (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs) { return !(lhs == rhs); }
-
-template<class A, class T>
-bool
-operator < (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- if (lhs.sign() != rhs.sign())
- {
- if (lhs.is_negative())
- return true;
- else
- return false;
- }
-
- if (lhs.size() < rhs.size())
- return true;
- if (lhs.size() > rhs.size())
- return false;
-
- if (lhs.is_negative())
- return std::lexicographical_compare(
- rhs.rbegin(), rhs.rend(), lhs.rbegin(), lhs.rend());
- else
- return std::lexicographical_compare(
- lhs.rbegin(), lhs.rend(), rhs.rbegin(), rhs.rend());
-}
-
-template<class A, class T>
-inline bool
-operator > (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs) { return rhs < lhs; }
-
-template<class A, class T>
-inline bool
-operator <= (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs) { return !(rhs < lhs); }
-
-template<class A, class T>
-inline bool
-operator >= (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs) { return !(lhs < rhs); }
-
-
-// compare mp_int to integral
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator == (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- return detail::integral_ops<IntegralT>::equal(lhs, rhs);
-}
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator != (const mp_int<A,T>& lhs, IntegralT rhs) { return !(lhs == rhs); }
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator < (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- return detail::integral_ops<IntegralT>::less(lhs, rhs);
-}
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator > (const mp_int<A,T>& lhs, IntegralT rhs) { return rhs < lhs; }
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator <= (const mp_int<A,T>& lhs, IntegralT rhs) { return (lhs < rhs) || (lhs == rhs); }
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator >= (const mp_int<A,T>& lhs, IntegralT rhs) { return !(lhs < rhs); }
-
-// compare integral to mp_int
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator == (IntegralT lhs, const mp_int<A,T>& rhs) { return rhs == lhs; }
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator != (IntegralT lhs, const mp_int<A,T>& rhs) { return !(lhs == rhs); }
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator < (IntegralT lhs, const mp_int<A,T>& rhs) { return !(rhs <= lhs); }
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator > (IntegralT lhs, const mp_int<A,T>& rhs) { return rhs < lhs; }
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator <= (IntegralT lhs, const mp_int<A,T>& rhs) { return !(rhs < lhs); }
-
-template<class A, class T, typename IntegralT>
-inline typename enable_if<is_integral<IntegralT>, bool>::type
-operator >= (IntegralT lhs, const mp_int<A,T>& rhs) { return rhs <= lhs; }
-
-
-// compare mp_int to character string
-template<class A, class T, typename charT>
-inline bool
-operator == (const mp_int<A,T>& lhs, const charT* rhs) { return lhs == mp_int<A,T>(rhs); }
-
-template<class A, class T, typename charT>
-inline bool
-operator != (const mp_int<A,T>& lhs, const charT* rhs) { return lhs != mp_int<A,T>(rhs); }
-
-template<class A, class T, typename charT>
-inline bool
-operator < (const mp_int<A,T>& lhs, const charT* rhs) { return lhs < mp_int<A,T>(rhs); }
-
-template<class A, class T, typename charT>
-inline bool
-operator > (const mp_int<A,T>& lhs, const charT* rhs) { return lhs > mp_int<A,T>(rhs); }
-
-template<class A, class T, typename charT>
-inline bool
-operator <= (const mp_int<A,T>& lhs, const charT* rhs) { return lhs <= mp_int<A,T>(rhs); }
-
-template<class A, class T, typename charT>
-inline bool
-operator >= (const mp_int<A,T>& lhs, const charT* rhs) { return lhs >= mp_int<A,T>(rhs); }
-
-// compare const charT* to mp_int
-template<class A, class T, typename charT>
-inline bool
-operator == (const charT* lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) == rhs; }
-
-template<class A, class T, typename charT>
-inline bool
-operator != (const charT* lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) != rhs; }
-
-template<class A, class T, typename charT>
-inline bool
-operator < (const charT* lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) < rhs; }
-
-template<class A, class T, typename charT>
-inline bool
-operator > (const charT* lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) > rhs; }
-
-template<class A, class T, typename charT>
-inline bool
-operator <= (const charT* lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) <= rhs; }
-
-template<class A, class T, typename charT>
-inline bool
-operator >= (const charT* lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) >= rhs; }
-
-
-// compare mp_int to basic_string
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator == (const mp_int<A,T>& lhs, const std::basic_string<charT,Traits,Alloc>& rhs) { return lhs == mp_int<A,T>(rhs); }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator != (const mp_int<A,T>& lhs, const std::basic_string<charT,Traits,Alloc>& rhs) { return lhs != mp_int<A,T>(rhs); }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator < (const mp_int<A,T>& lhs, const std::basic_string<charT,Traits,Alloc>& rhs) { return lhs < mp_int<A,T>(rhs); }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator > (const mp_int<A,T>& lhs, const std::basic_string<charT,Traits,Alloc>& rhs) { return lhs > mp_int<A,T>(rhs); }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator <= (const mp_int<A,T>& lhs, const std::basic_string<charT,Traits,Alloc>& rhs) { return lhs <= mp_int<A,T>(rhs); }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator >= (const mp_int<A,T>& lhs, const std::basic_string<charT,Traits,Alloc>& rhs) { return lhs >= mp_int<A,T>(rhs); }
-
-// compare basic_string to mp_int
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator == (const std::basic_string<charT,Traits,Alloc>& lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) == rhs; }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator != (const std::basic_string<charT,Traits,Alloc>& lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) != rhs; }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator < (const std::basic_string<charT,Traits,Alloc>& lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) < rhs; }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator > (const std::basic_string<charT,Traits,Alloc>& lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) > rhs; }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator <= (const std::basic_string<charT,Traits,Alloc>& lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) <= rhs; }
-
-template<class A, class T, class charT, class Traits, class Alloc>
-inline bool
-operator >= (const std::basic_string<charT,Traits,Alloc>& lhs, const mp_int<A,T>& rhs) { return mp_int<A,T>(lhs) >= rhs; }
-
-
-
-
-// prefix ops
-template<class A, class T>
-inline mp_int<A,T>& mp_int<A,T>::operator ++()
-{
- add_digit(1);
- return *this;
-}
-
-template<class A, class T>
-inline mp_int<A,T>& mp_int<A,T>::operator --()
-{
- sub_digit(1);
- return *this;
-}
-
-// postfix ops
-template<class A, class T>
-inline mp_int<A,T> mp_int<A,T>::operator ++(int)
-{
- mp_int<A,T> tmp(*this);
- ++(*this);
- return tmp;
-}
-
-template<class A, class T>
-inline mp_int<A,T> mp_int<A,T>::operator --(int)
-{
- mp_int<A,T> tmp(*this);
- --(*this);
- return tmp;
-}
-
-// shift ops
-// this function corresponds to mp_mul_2d()
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator <<= (size_type b)
-{
- grow_capacity(size_ + b/valid_bits + 1);
-
- /* shift by as many digits in the bit count */
- if (b >= static_cast<size_type>(valid_bits))
- shift_digits_left(b / valid_bits);
-
- /* shift any bit count < valid_bits */
- const digit_type d = static_cast<digit_type>(b % valid_bits);
-
- if (d)
- {
- /* bitmask for carries */
- const digit_type mask = (digit_type(1) << d) - 1;
-
- /* shift for msbs */
- const digit_type shift = valid_bits - d;
-
- digit_type carry = 0;
- for (size_type i = 0; i < size_; ++i)
- {
- /* get the higher bits of the current word */
- const digit_type carry_cur = (digits_[i] >> shift) & mask;
-
- /* shift the current word and OR in the carry */
- digits_[i] = (digits_[i] << d) | carry;
-
- /* set the carry to the carry bits of the current word */
- carry = carry_cur;
- }
-
- if (carry)
- push(carry);
- }
-
- clamp();
- return *this;
-}
-
-template<class A, class T>
-inline mp_int<A,T>& mp_int<A,T>::operator >>= (size_type b)
-{
- shift_right(b, 0);
- return *this;
-}
-
-// unary negate
-template<class A, class T>
-inline mp_int<A,T>& mp_int<A,T>::operator - ()
-{
- if (*this)
- set_sign(sign() == 1 ? -1 : 1);
- return *this;
-}
-
-
-// arithmetic
-
-
-// this is the high level addition function
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator += (const mp_int<A,T>& rhs)
-{
- if (sign() == rhs.sign())
- add_magnitude(rhs);
- else
- {
- // subtract the one with the lesser magnitude from
- // the one of the greater magnitude. The result gets
- // the sign of the one with the greater magnitude.
- const mp_int* x;
- const mp_int* y;
- if (compare_magnitude(rhs) != -1) // |*this| >= |rhs|
- {
- x = this;
- y = &rhs;
- }
- else // |*this| < |rhs|
- {
- grow_capacity(rhs.size_);
- set_sign(rhs.sign());
- x = &rhs;
- y = this;
- }
-
- ops_type::sub_smaller_magnitude(digits_, x->digits_, x->size_,
- y->digits_, y->size_);
- size_ = x->size_;
-
- clamp();
-
- if (!*this)
- set_sign(1);
- }
- return *this;
-}
-
-// high level subtraction (handles signs)
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator -= (const mp_int<A,T>& rhs)
-{
- if (sign() != rhs.sign())
- // add magnitudes, and use the sign of *this.
- add_magnitude(rhs);
- else
- {
- const mp_int* x;
- const mp_int* y;
- if (compare_magnitude(rhs) != -1) // [*this] >= rhs
- {
- x = this;
- y = &rhs;
- }
- else // |*this| < |rhs|
- {
- grow_capacity(rhs.size_);
- // result has opposite sign from *this
- set_sign(is_positive() ? -1 : 1);
- x = &rhs;
- y = this;
- }
-
- ops_type::sub_smaller_magnitude(digits_, x->digits_, x->size_,
- y->digits_, y->size_);
-
- size_ = x->size_;
-
- clamp();
-
- if (!*this)
- set_sign(1);
- }
- return *this;
-}
-
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator *= (const mp_int<A,T>& rhs)
-{
- if (this == &rhs)
- {
- sqr();
- return *this;
- }
-
- const int neg = (sign() == rhs.sign()) ? 1 : -1;
- const size_type min = std::min(size_, rhs.size_);
-
- if (min >= traits_type::toom_mul_cutoff)
- toom_cook_mul(rhs);
- else if (min >= traits_type::karatsuba_mul_cutoff)
- karatsuba_mul(rhs);
- else
- {
- mp_int tmp;
- tmp.grow_capacity(size_ + rhs.size_);
-
- if (size_ == rhs.size_)
- ops_type::comba_mul(tmp.digits(), digits(), rhs.digits(), size_);
- else
- {
- // always multiply larger by smaller number
- const mp_int* a = this;
- const mp_int* b = &rhs;
- if (a->size_ < b->size_)
- std::swap(a, b);
-
- ops_type::comba_mul(tmp.digits(), a->digits(), a->size_, b->digits(), b->size_);
- }
-
- tmp.size_ = size_ + rhs.size_;
- tmp.clamp();
- *this = tmp;
- }
-
- set_sign(!*this ? 1 : neg);
-
- return *this;
-}
-
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator /= (const mp_int<A,T>& rhs)
-{
- const mp_int<A,T> tmp(*this);
- detail::classic_divide(tmp, rhs, *this);
- return *this;
-}
-
-// The sign of the result is the sign of the dividend, i.e. *this.
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator %= (const mp_int<A,T>& rhs)
-{
- mp_int<A,T> quotient;
- detail::classic_divide(*this, rhs, quotient, this);
- return *this;
-}
-
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator |= (const mp_int<A,T>& rhs)
-{
- size_type px;
- mp_int tmp;
- const mp_int* x;
-
- if (size_ > rhs.size_)
- {
- tmp = *this;
- px = rhs.size_;
- x = &rhs;
- }
- else
- {
- tmp = rhs;
- px = size_;
- x = this;
- }
-
- for (size_type i = 0; i < px; ++i)
- tmp[i] |= (*x)[i];
-
- tmp.clamp();
- swap(tmp);
-
- return *this;
-}
-
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator &= (const mp_int<A,T>& rhs)
-{
- size_type px;
- mp_int tmp;
- const mp_int *x;
-
- if (size_ > rhs.size_)
- {
- tmp = *this;
- px = rhs.size_;
- x = &rhs;
- }
- else
- {
- tmp = rhs;
- px = size_;
- x = this;
- }
-
- for (size_type i = 0; i < px; ++i)
- tmp[i] &= (*x)[i];
-
- /* zero digits above the last from the smallest mp_int */
- std::memset(tmp.digits_ + px, 0, (tmp.size_ - px) * sizeof(digit_type));
- tmp.clamp();
- swap(tmp);
-
- return *this;
-}
-
-template<class A, class T>
-mp_int<A,T>& mp_int<A,T>::operator ^= (const mp_int<A,T>& rhs)
-{
- size_type px;
- mp_int tmp;
- const mp_int *x;
-
- if (size_ > rhs.size_)
- {
- tmp = *this;
- px = rhs.size_;
- x = &rhs;
- }
- else
- {
- tmp = rhs;
- px = size_;
- x = this;
- }
-
- for (size_type i = 0; i < px; ++i)
- tmp[i] ^= (*x)[i];
-
- tmp.clamp();
- swap(tmp);
-
- return *this;
-}
-
-template<class A, class T>
-inline mp_int<A,T>
-operator << (const mp_int<A,T>& lhs, typename mp_int<A,T>::size_type b)
-{
- mp_int<A,T> nrv(lhs);
- nrv <<= b;
- return nrv;
-}
-
-template<class A, class T>
-inline mp_int<A,T>
-operator >> (const mp_int<A,T>& lhs, typename mp_int<A,T>::size_type b)
-{
- mp_int<A,T> nrv(lhs);
- nrv >>= b;
- return nrv;
-}
-
-
-template<class A, class T>
-inline mp_int<A,T> operator - (const mp_int<A,T>& rhs)
-{
- mp_int<A,T> nrv(rhs);
- -nrv;
- return nrv;
-}
-
-
-
-template<class A, class T>
-inline mp_int<A,T> operator + (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv += rhs;
- return nrv;
-}
-
-template<class A, class T>
-inline mp_int<A,T> operator - (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv -= rhs;
- return nrv;
-}
-
-template<class A, class T>
-inline mp_int<A,T> operator * (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- if (&lhs != &rhs)
- nrv *= rhs;
- else
- nrv *= nrv; // this uses special squaring code in operator *=
- return nrv;
-}
-
-template<class A, class T>
-inline mp_int<A,T> operator / (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv /= rhs;
- return nrv;
-}
-
-template<class A, class T>
-inline mp_int<A,T> operator % (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv %= rhs;
- return nrv;
-}
-
-template<class A, class T>
-inline mp_int<A,T> operator | (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv |= rhs;
- return nrv;
-}
-
-template<class A, class T>
-inline mp_int<A,T> operator & (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv &= rhs;
- return nrv;
-}
-
-template<class A, class T>
-inline mp_int<A,T> operator ^ (const mp_int<A,T>& lhs, const mp_int<A,T>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv ^= rhs;
- return nrv;
-}
-
-template<class A, class T, typename IntegralT>
-inline mp_int<A,T> operator + (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv += rhs;
- return nrv;
-}
-
-template<class A, class T, typename IntegralT>
-inline mp_int<A,T> operator - (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv -= rhs;
- return nrv;
-}
-
-template<class A, class T, typename IntegralT>
-inline mp_int<A,T> operator * (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv *= rhs;
- return nrv;
-}
-
-template<class A, class T, typename IntegralT>
-inline mp_int<A,T> operator / (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv /= rhs;
- return nrv;
-}
-
-template<class A, class T, typename IntegralT>
-inline mp_int<A,T> operator % (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv %= rhs;
- return nrv;
-}
-
-template<class A, class T, typename IntegralT>
-inline mp_int<A,T> operator | (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv |= rhs;
- return nrv;
-}
-
-template<class A, class T, typename IntegralT>
-inline mp_int<A,T> operator & (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv &= rhs;
- return nrv;
-}
-
-template<class A, class T, typename IntegralT>
-inline mp_int<A,T> operator ^ (const mp_int<A,T>& lhs, IntegralT rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv ^= rhs;
- return nrv;
-}
-
-
-// Arithmetic and bitwise operators involving character strings
-template<class A, class T>
-template<typename charT>
-inline mp_int<A,T>& mp_int<A,T>::operator += (const charT* s) { return *this += mp_int<A,T>(s); }
-template<class A, class T>
-template<typename charT>
-inline mp_int<A,T>& mp_int<A,T>::operator -= (const charT* s) { return *this -= mp_int<A,T>(s); }
-template<class A, class T>
-template<typename charT>
-inline mp_int<A,T>& mp_int<A,T>::operator *= (const charT* s) { return *this *= mp_int<A,T>(s); }
-template<class A, class T>
-template<typename charT>
-inline mp_int<A,T>& mp_int<A,T>::operator /= (const charT* s) { return *this /= mp_int<A,T>(s); }
-template<class A, class T>
-template<typename charT>
-inline mp_int<A,T>& mp_int<A,T>::operator %= (const charT* s) { return *this %= mp_int<A,T>(s); }
-template<class A, class T>
-template<typename charT>
-inline mp_int<A,T>& mp_int<A,T>::operator |= (const charT* s) { return *this |= mp_int<A,T>(s); }
-template<class A, class T>
-template<typename charT>
-inline mp_int<A,T>& mp_int<A,T>::operator &= (const charT* s) { return *this &= mp_int<A,T>(s); }
-template<class A, class T>
-template<typename charT>
-inline mp_int<A,T>& mp_int<A,T>::operator ^= (const charT* s) { return *this ^= mp_int<A,T>(s); }
-
-template<class A, class T, typename charT>
-inline mp_int<A,T> operator + (const mp_int<A,T>& lhs, const charT* rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv += mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT>
-inline mp_int<A,T> operator - (const mp_int<A,T>& lhs, const charT* rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv -= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT>
-inline mp_int<A,T> operator * (const mp_int<A,T>& lhs, const charT* rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv *= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT>
-inline mp_int<A,T> operator / (const mp_int<A,T>& lhs, const charT* rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv /= mp_int<A,T>(rhs);
- return nrv;
-}
-template<class A, class T, typename charT>
-inline mp_int<A,T> operator % (const mp_int<A,T>& lhs, const charT* rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv %= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT>
-inline mp_int<A,T> operator | (const mp_int<A,T>& lhs, const charT* rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv |= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT>
-inline mp_int<A,T> operator & (const mp_int<A,T>& lhs, const charT* rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv &= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT>
-inline mp_int<A,T> operator ^ (const mp_int<A,T>& lhs, const charT* rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv ^= mp_int<A,T>(rhs);
- return nrv;
-}
-
-
-// Arithmetic and bitwise operators involving basic_string
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline mp_int<A,T>&
-mp_int<A,T>::operator += (const std::basic_string<charT,traits,Alloc>& s)
-{
- return *this += mp_int<A,T>(s);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline mp_int<A,T>&
-mp_int<A,T>::operator -= (const std::basic_string<charT,traits,Alloc>& s)
-{
- return *this -= mp_int<A,T>(s);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline mp_int<A,T>&
-mp_int<A,T>::operator *= (const std::basic_string<charT,traits,Alloc>& s)
-{
- return *this *= mp_int<A,T>(s);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline mp_int<A,T>&
-mp_int<A,T>::operator /= (const std::basic_string<charT,traits,Alloc>& s)
-{
- return *this /= mp_int<A,T>(s);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline mp_int<A,T>&
-mp_int<A,T>::operator %= (const std::basic_string<charT,traits,Alloc>& s)
-{
- return *this %= mp_int<A,T>(s);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline mp_int<A,T>&
-mp_int<A,T>::operator |= (const std::basic_string<charT,traits,Alloc>& s)
-{
- return *this |= mp_int<A,T>(s);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline mp_int<A,T>&
-mp_int<A,T>::operator &= (const std::basic_string<charT,traits,Alloc>& s)
-{
- return *this &= mp_int<A,T>(s);
-}
-
-template<class A, class T>
-template<typename charT, class traits, class Alloc>
-inline mp_int<A,T>&
-mp_int<A,T>::operator ^= (const std::basic_string<charT,traits,Alloc>& s)
-{
- return *this ^= mp_int<A,T>(s);
-}
-
-template<class A, class T, typename charT, class traits, class Alloc>
-inline mp_int<A,T>
-operator + (const mp_int<A,T>& lhs, const std::basic_string<charT,traits,Alloc>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv += mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT, class traits, class Alloc>
-inline mp_int<A,T>
-operator - (const mp_int<A,T>& lhs, const std::basic_string<charT,traits,Alloc>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv -= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT, class traits, class Alloc>
-inline mp_int<A,T>
-operator * (const mp_int<A,T>& lhs, const std::basic_string<charT,traits,Alloc>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv *= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT, class traits, class Alloc>
-inline mp_int<A,T>
-operator / (const mp_int<A,T>& lhs, const std::basic_string<charT,traits,Alloc>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv /= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT, class traits, class Alloc>
-inline mp_int<A,T>
-operator % (const mp_int<A,T>& lhs, const std::basic_string<charT,traits,Alloc>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv %= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT, class traits, class Alloc>
-inline mp_int<A,T>
-operator | (const mp_int<A,T>& lhs, const std::basic_string<charT,traits,Alloc>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv |= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT, class traits, class Alloc>
-inline mp_int<A,T>
-operator & (const mp_int<A,T>& lhs, const std::basic_string<charT,traits,Alloc>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv &= mp_int<A,T>(rhs);
- return nrv;
-}
-
-template<class A, class T, typename charT, class traits, class Alloc>
-inline mp_int<A,T>
-operator ^ (const mp_int<A,T>& lhs, const std::basic_string<charT,traits,Alloc>& rhs)
-{
- mp_int<A,T> nrv(lhs);
- nrv ^= mp_int<A,T>(rhs);
- return nrv;
-}
-
-
-
-
-// Input/Output
-template<class A, class T, typename charT, class traits>
-std::basic_istream<charT, traits>&
-operator >> (std::basic_istream<charT, traits>& is, mp_int<A,T>& x)
-{
- typename std::basic_istream<charT, traits>::sentry sentry(is);
- if (!sentry)
- return is;
-
- std::string s;
-
- const std::istreambuf_iterator<charT, traits> end;
- std::istreambuf_iterator<charT, traits> c(is);
-
- if (*c == '+' || *c == '-')
- {
- s.push_back(*c);
- ++c;
- }
-
- int base;
- if (*c == '0')
- {
- base = 8;
- s.push_back(*c);
- ++c;
- if (*c == 'x' || *c == 'X')
- {
- base = 16;
- s.push_back(*c);
- ++c;
- }
- }
- else if (*c >= '0' && *c <= '9')
- base = 10;
- else
- {
- is.setstate(std::ios_base::failbit);
- return is;
- }
-
- switch (base)
- {
- case 8:
- while (c != end)
- {
- if (*c >= '0' && *c <= '7')
- s.push_back(*c);
- else
- break;
- ++c;
- }
- break;
- case 10:
- while (c != end)
- {
- if (*c >= '0' && *c <= '9')
- s.push_back(*c);
- else
- break;
- ++c;
- }
- break;
- case 16:
- while (c != end)
- {
- if ((*c >= '0' && *c <= '9') ||
- (*c >= 'A' && *c <= 'F') ||
- (*c >= 'a' && *c <= 'f'))
- s.push_back(*c);
- else
- break;
- ++c;
- }
- break;
- }
-
- const mp_int<A,T> tmp(s.begin(), s.end());
- x = tmp;
-
- return is;
-}
-
-template<class A, class T, typename charT, class traits>
-std::basic_ostream<charT, traits>&
-operator << (std::basic_ostream<charT, traits>& os, const mp_int<A,T>& x)
-{
- return os << x.template to_string<std::string>(os.flags());
-}
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/pow.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/pow.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,66 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-// computes a = 2**b
-// Simple algorithm which zeroes the int, grows it then just sets one bit
-// as required.
-template<class A, class T>
-void mp_int<A,T>::pow2(typename mp_int<A,T>::size_type b)
-{
- grow_capacity(b / digit_bits + 1);
-
- // set size_ to where the bit will go
- size_ = b / digit_bits + 1;
-
- // set all bits to zero
- std::memset(digits_, 0, size_ * sizeof(digit_type));
-
- // put the single bit in its place
- digits_[b / digit_bits] = digit_type(1) << (b % digit_bits);
-}
-
-// calculate c = x**y using a square-multiply algorithm
-template<class A, class T>
-mp_int<A,T> pow(const mp_int<A,T>& x, typename mp_int<A,T>::digit_type y)
-{
- mp_int<A,T> result;
-
- result = typename mp_int<A,T>::digit_type(1);
-
- const typename mp_int<A,T>::digit_type mask = 1 << (mp_int<A,T>::digit_bits - 1);
-
- for (int i = 0; i < mp_int<A,T>::digit_bits; ++i)
- {
- result.sqr();
-
- // if the bit is set multiply
- if (y & mask)
- result *= x;
-
- // shift to next bit
- y <<= 1;
- }
-
- return result;
-}
-
-template<class A, class T>
-mp_int<A,T> pow(const mp_int<A,T>& x, const mp_int<A,T>& y)
-{
- if (y.size() == 1)
- return pow(x, y[0]);
-
- mp_int<A,T> y0(y);
-
- y0.divide_by_2();
-
- mp_int<A,T> y1(y0);
-
- if (y.is_odd())
- ++y1;
-
- return pow(x, y0) * pow(x, y1);
-}
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/root.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/root.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,204 +0,0 @@
-// Copyright Kevin Sopp 2008 - 2009.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_ROOT_HPP
-#define BOOST_MP_MATH_MP_INT_ROOT_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-
-
-namespace boost {
-namespace mp_math {
-
-template<class A, class T>
-mp_int<A,T> sqrt(const mp_int<A,T>& x)
-{
- if (x.is_negative())
- throw std::domain_error("sqrt: argument must be positive");
-
- mp_int<A,T> t1;
-
- if (!x)
- {
- t1.zero();
- return t1;
- }
-
- t1 = x;
-
- // First approx. (not very bad for large arg)
- t1.shift_digits_right(t1.size()/2);
-
- // t1 > 0
- mp_int<A,T> t2 = x / t1;
-
- t1 += t2;
- t1.divide_by_2();
- // And now t1 > sqrt(arg)
- do
- {
- t2 = x / t1;
- t1 += t2;
- t1.divide_by_2();
- // t1 >= sqrt(arg) >= t2 at this point
- } while (t1.compare_magnitude(t2) == 1);
-
- return t1;
-}
-
-
-// Uses Newton-Raphson approximation.
-template<class A, class T>
-mp_int<A,T> nth_root(const mp_int<A,T>& x, typename mp_int<A,T>::digit_type n)
-{
- if ((n & 1) == 0 && x.is_negative())
- throw std::domain_error("nth_root: argument must be positive if n is even");
-
- if (n == 0U)
- throw std::domain_error("nth_root: n must not be zero");
- else if (n == 1U)
- return x;
-
- // if x is negative fudge the sign but keep track
- const int neg = x.sign();
- const_cast<mp_int<A,T>*>(&x)->set_sign(1);
-
- mp_int<A,T> t1, t2, t3;
-
- typedef typename mp_int<A,T>::size_type size_type;
-
- // initial approximation
- const size_type result_precision = (x.precision() - 1) / n + 1;
- t2.grow_capacity(1);
- t2.set_size(1);
- t2[0] = 0;
- t2.set_bits(0, result_precision + 1);
-
- do
- {
- t1 = t2;
-
- // t2 = t1 - ((t1**n - x) / (n * t1**(n-1)))
-
- // t3 = t1**(n-1)
- t3 = pow(t1, n-1);
-
- // numerator
- // t2 = t1**n
- t2 = t3 * t1;
-
- // t2 = t1**n - x
- t2 -= x;
-
- // denominator
- // t3 = t1**(n-1) * n
- t3.multiply_by_digit(n);
-
- // t3 = (t1**n - x)/(n * t1**(n-1))
- t3 = t2 / t3;
-
- t2 = t1 - t3;
- } while (t1 != t2);
-
- // result can be off by a few so check
- for (;;)
- {
- t2 = pow(t1, n);
-
- if (t2 > x)
- --t1;
- else
- break;
- }
-
- // reset the sign of x first
- const_cast<mp_int<A,T>*>(&x)->set_sign(neg);
-
- // set the sign of the result
- t1.set_sign(neg);
-
- return t1;
-}
-
-template<class A, class T>
-mp_int<A,T> nth_root(const mp_int<A,T>& x, const mp_int<A,T>& n)
-{
- if (n.is_odd() && x.is_negative())
- throw std::domain_error("nth_root: argument must be positive if n is even");
-
- if (n.size() == 1)
- return nth_root(x, n[0]);
-
- // if x is negative fudge the sign but keep track
- const int neg = x.sign();
- const_cast<mp_int<A,T>*>(&x)->set_sign(1);
-
- mp_int<A,T> t1, t2, t3;
-
- typedef typename mp_int<A,T>::size_type size_type;
-
- static const size_type digit_bits = mp_int<A,T>::digit_bits;
-
- const size_type result_precision = (x.precision() - 1)
- / n.template to_integral<size_type>() + 1;
-
- t2.grow_capacity((result_precision + digit_bits - 1) / digit_bits);
- t2.set_size ((result_precision + digit_bits - 1) / digit_bits);
-
- t2[t2.size()-1] = 0;
- t2.set_bits(0, result_precision + 1);
-
- do
- {
- t1 = t2;
-
- // t2 = t1 - ((t1**n - x) / (n * t1**(n-1)))
-
- // t3 = t1**(n-1)
- t3 = pow(t1, n-1);
-
- // numerator
- // t2 = t1**n
- t2 = t3 * t1;
-
- // t2 = t1**n - x
- t2 -= x;
-
- // denominator
- // t3 = t1**(n-1) * n
- t3 *= n;
-
- // t3 = (t1**n - x)/(n * t1**(n-1))
- t3 = t2 / t3;
-
- t2 = t1 - t3;
- } while (t1 != t2);
-
- // result can be off by a few so check
- for (;;)
- {
- t2 = pow(t1, n);
-
- if (t2 > x)
- --t1;
- else
- break;
- }
-
- // reset the sign of x first
- const_cast<mp_int<A,T>*>(&x)->set_sign(neg);
-
- // set the sign of the result
- t1.set_sign(neg);
-
- return t1;
-}
-
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/sqr.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/sqr.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,220 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-/* squaring using Toom-Cook 3-way algorithm */
-template<class A, class T>
-void mp_int<A,T>::toom_sqr()
-{
- mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2;
-
- const size_type B = size_ / 3;
-
- /* a = a2 * B**2 + a1 * B + a0 */
- a0 = *this;
- a0.modulo_2_to_the_power_of(valid_bits * B);
-
- a1 = *this;
- a1.shift_digits_right(B);
- a1.modulo_2_to_the_power_of(valid_bits * B);
-
- a2 = *this;
- a2.shift_digits_right(B * 2);
-
- /* w0 = a0*a0 */
- w0 = a0;
- w0.sqr();
-
- /* w4 = a2 * a2 */
- w4 = a2;
- w4.sqr();
-
- /* w1 = (a2 + 2(a1 + 2a0))**2 */
- w1 = a0;
- w1.multiply_by_2();
- w1 += a1;
- w1.multiply_by_2();
- w1 += a2;
- w1.sqr();
-
- /* w3 = (a0 + 2(a1 + 2a2))**2 */
- w3 = a2;
- w3.multiply_by_2();
- w3 += a1;
- w3.multiply_by_2();
- w3 += a0;
- w3.sqr();
-
- /* w2 = (a2 + a1 + a0)**2 */
- w2 = a1 + a2;
- w2 += a0;
- w2.sqr();
-
- /* now solve the matrix
-
- 0 0 0 0 1
- 1 2 4 8 16
- 1 1 1 1 1
- 16 8 4 2 1
- 1 0 0 0 0
-
- using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication.
- */
-
- /* r1 - r4 */
- w1 -= w4;
- /* r3 - r0 */
- w3 -= w0;
- /* r1/2 */
- w1.divide_by_2();
- /* r3/2 */
- w3.divide_by_2();
- /* r2 - r0 - r4 */
- w2 -= w0;
- w2 -= w4;
- /* r1 - r2 */
- w1 -= w2;
- /* r3 - r2 */
- w3 -= w2;
- /* r1 - 8r0 */
- tmp1 = w0;
- tmp1 <<= 3;
- w1 -= tmp1;
- /* r3 - 8r4 */
- tmp1 = w4;
- tmp1 <<= 3;
- w3 -= tmp1;
- /* 3r2 - r1 - r3 */
- w2.multiply_by_digit(3);
- w2 -= w1;
- w2 -= w3;
- /* r1 - r2 */
- w1 -= w2;
- /* r3 - r2 */
- w3 -= w2;
- /* r1/3 */
- w1.divide_by_3();
- /* r3/3 */
- w3.divide_by_3();
- /* at this point shift W[n] by B*n */
- w1.shift_digits_left(1 * B);
- w2.shift_digits_left(2 * B);
- w3.shift_digits_left(3 * B);
- w4.shift_digits_left(4 * B);
- *this = w0 + w1;
- tmp1 = w2 + w3;
- tmp1 += w4;
- *this += tmp1;
-}
-
-/* Karatsuba squaring, computes b = a*a using three
- * half size squarings
- *
- * See comments of karatsuba_mul for details. It
- * is essentially the same algorithm but merely
- * tuned to perform recursive squarings.
- */
-// a = x1 * B**n + x0
-// a**2 = x1x1 * B**2n + 2*x0x1 * B**n + x0x0
-// where
-// 2*x0x1 = 1) x1x1 + x0x0 - (x1 - x0)**2 or
-// 2) (x0 + x1)**2 - (x0x0 + x1x1)
-// we use version 1)
-// version 2) may use one less temporary?
-// a**2 = x1x1 * B**2n + (x1x1 + x0x0 - (x1 - x0)**2) * B**n + x0x0
-// TODO revert!
-template<class A, class T>
-void mp_int<A,T>::karatsuba_sqr()
-{
- mp_int x0, x1, tmp, tmp2, x0x0, x1x1;
-
- /* min # of digits divided in two */
- const size_type B = size_ >> 1;
-
- /* init copy all the temps */
- x0.grow_capacity(B);
- x1.grow_capacity(size_ - B);
-
- /* init temps */
- x0x0.grow_capacity(B * 2);
- x1x1.grow_capacity((size_ - B) * 2);
-
- /* now shift the digits */
- std::memcpy(x0.digits_, digits_, B * sizeof(digit_type));
- std::memcpy(x1.digits_, digits_ + B, (size_ - B) * sizeof(digit_type));
-
- x0.size_ = B;
- x1.size_ = size_ - B;
-
- x0.clamp();
-
- x0x0 = x0;
- x0x0.sqr();
- x1x1 = x1;
- x1x1.sqr();
-
- tmp = x1x1;
- tmp.add_magnitude(x0x0);
-
- tmp2 = x1;
- tmp2 -= x0;
- tmp2.sqr();
-
- tmp.sub_smaller_magnitude(tmp2);
-
- x1x1.shift_digits_left(B * 2);
- tmp.shift_digits_left(B);
-
- x1x1.add_magnitude(tmp);
- x1x1.add_magnitude(x0x0);
- swap(x1x1);
-}
-
-template<class A, class T>
-void mp_int<A,T>::comba_sqr()
-{
- if (size() < 16U)
- {
- grow_capacity(size() + size());
-
- digit_type Z[32];
-
- ops_type::comba_sqr(Z, digits(), size());
-
- std::memcpy(digits(), Z, (size() + size()) * sizeof(digit_type));
-
- set_size(size() + size());
-
- if (!digits()[size()-1])
- pop();
- }
- else
- {
- mp_int tmp;
- tmp.grow_capacity(size() + size());
-
- ops_type::comba_sqr(tmp.digits(), digits(), size());
-
- tmp.set_size(size() + size());
-
- if (!tmp[tmp.size()-1])
- tmp.pop();
-
- *this = tmp;
- }
-}
-
-// computes *this = *this * *this
-template<class A, class T>
-void mp_int<A,T>::sqr()
-{
- if (size_ >= traits_type::toom_sqr_cutoff)
- toom_sqr();
- else if (size_ >= traits_type::karatsuba_sqr_cutoff)
- karatsuba_sqr();
- else
- comba_sqr();
- set_sign(1);
-}
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/string_conversion.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/string_conversion.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,314 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-namespace detail
-{
- template<typename charT>
- inline int ascii_to_value(const charT c)
- {
- switch (c)
- {
- case '0': case '1': case '2': case '3': case '4':
- case '5': case '6': case '7': case '8': case '9':
- return c - '0';
- case 'A': case 'B': case 'C': case 'D': case 'E': case 'F':
- return c - 'A' + 10;
- case 'a': case 'b': case 'c': case 'd': case 'e': case 'f':
- return c - 'a' + 10;
- }
- return c;
- }
-}
-
-// low level from string conversion routine
-// Requires:
-// - size_ = 0
-// - first and last must point into string without sign prefix and without base
-// prefix (like 0x)
-// - radix is 8, 10 or 16
-template<class A, class T>
-template<typename Iter>
-void mp_int<A,T>::from_string(Iter first, Iter last, unsigned radix)
-{
- assert(size_ == 0);
- assert(first != last);
-
- const detail::string_conversion_constants<mp_int> sc(radix);
-
- const size_type length = std::distance(first, last);
-
- static const char* inv_msg = "mp_int<>::from_string: invalid character";
-
- const bool is_power_of_two = (radix & (radix - 1)) == 0;
- if (is_power_of_two)
- {
- const size_type required =
- (length * sc.radix_storage_bits + (valid_bits - 1)) / valid_bits;
- grow_capacity(required);
-
- digit_type result = 0;
- int offset = 0;
-
- typedef std::reverse_iterator<Iter> reverse_iter_type;
- for (reverse_iter_type c(last); c != reverse_iter_type(first); ++c)
- {
- const digit_type x = static_cast<digit_type>(detail::ascii_to_value(*c));
-
- if (x >= radix)
- throw std::invalid_argument(inv_msg);
-
- result |= x << offset;
- offset += sc.radix_storage_bits;
-
- if (offset >= valid_bits)
- {
- push(result);
- offset -= valid_bits;
- result = static_cast<digit_type>(x >> (sc.radix_storage_bits - offset));
- }
- }
-
- if (result || is_uninitialized())
- push(result);
-
- clamp();
-
- if (!*this)
- set_sign(1);
- }
- else // radix can only be 10 at this point
- {
- size_type required;
- // approximate log2(10) with 10/3
- if (length < std::numeric_limits<size_type>::max()/10U)
- required = (10U * length + 2U) / 3U;
- else
- required = length / 3U * 10U;
- required = (required + (valid_bits - 1)) / valid_bits;
-
- grow_capacity(required);
-
- for (size_type i = sc.max_power; i < length; i += sc.max_power)
- {
- digit_type result = 0U;
-
- // first convert a block of decimal digits to radix 10^sc.max_power
- // which will still fit into a digit_type
- for (unsigned int j = 0; j < sc.max_power; ++j)
- {
- const digit_type x = *first++ - '0';
- if (x >= 10U)
- throw std::invalid_argument(inv_msg);
- result = result * 10U + x;
- }
-
- // then use multi precision routines to convert this digit to binary
- if (size_)
- {
- digit_type carry = ops_type::multiply_by_digit(digits_, digits_, size_,
- sc.max_power_value);
-
- carry += ops_type::add_single_digit(digits_, digits_, size_, result);
-
- if (carry)
- push(carry);
- }
- else
- push(result);
- }
-
- // one last round for the remaining decimal digits
- if (first != last)
- {
- digit_type radix_power = 1U;
- digit_type result = 0U;
-
- while (first != last)
- {
- const digit_type x = *first++ - '0';
- if (x >= 10U)
- throw std::invalid_argument(inv_msg);
- result = result * 10U + x;
- radix_power *= 10U;
- }
-
- if (size_)
- {
- digit_type carry = ops_type::multiply_by_digit(digits_, digits_, size_,
- static_cast<digit_type>(radix_power));
-
- carry += ops_type::add_single_digit(digits_, digits_, size_, result);
-
- if (carry)
- push(carry);
- }
- else
- push(result);
- }
- }
-}
-
-
-namespace detail
-{
- template<typename T, class Alloc>
- struct scoped_ptr : Alloc
- {
- T* ptr;
- std::size_t size;
- explicit scoped_ptr(std::size_t s) : size(s) { ptr = this->allocate(size); }
- ~scoped_ptr() { this->deallocate(ptr,size); }
- };
-}
-
-
-// TODO use an output iterator then we can easily output to different string
-// types. But keep a high level to_string function to allocate string memory
-// only once.
-template<class A, class T>
-template<class StringT>
-StringT mp_int<A,T>::to_string(std::ios_base::fmtflags f) const
-{
- typedef typename StringT::value_type char_type;
-
- StringT s;
-
- if (is_uninitialized())
- return s;
-
- digit_type radix;
-
- if (f & std::ios_base::hex)
- radix = 16;
- else if (f & std::ios_base::oct)
- radix = 8;
- else if (f & std::ios_base::dec)
- radix = 10;
- else
- throw std::invalid_argument("mp_int<>::to_string: unsupported radix");
-
- char_type prefix[3];
- char_type* p = prefix;
-
- if (is_negative())
- *p++ = '-';
- else if (f & std::ios_base::showpos)
- *p++ = '+';
-
- if (f & std::ios_base::showbase)
- {
- if (radix == 16)
- {
- *p++ = '0';
- if (f & std::ios_base::uppercase)
- *p++ = 'X';
- else
- *p++ = 'x';
- }
- else if (radix == 8)
- *p++ = '0';
- }
-
- const int prefix_offset = p - prefix;
-
- if (!*this)
- {
- s.reserve(prefix_offset + 1);
- for (int i = 0; i < prefix_offset; ++i)
- s.push_back(prefix[i]);
- if (!(f & std::ios_base::oct))
- s.push_back('0');
- return s;
- }
-
- const detail::string_conversion_constants<mp_int> sc(radix);
- const bool is_power_of_two = (radix & (radix - 1)) == 0;
-
- size_type total_bits = precision();
- // round up to a multiple of sc.radix_storage_bits
- if (total_bits % sc.radix_storage_bits)
- total_bits = total_bits - total_bits % sc.radix_storage_bits
- + sc.radix_storage_bits;
-
- size_type required;
- if (is_power_of_two)
- required = (total_bits + (sc.radix_storage_bits - 1))
- / sc.radix_storage_bits;
- // approximate log2(10) with 13/4
- else if (total_bits < std::numeric_limits<size_type>::max() / 4)
- required = (total_bits * 4 + 12) / 13;
- else
- required = total_bits / 13 * 4;
-
- required += prefix_offset;
- detail::scoped_ptr<char_type, typename StringT::allocator_type> sd(required);
-
- char_type* c = sd.ptr;
-
- for (int i = 0; i < prefix_offset; ++i)
- *c++ = prefix[i];
-
- if (is_power_of_two)
- {
- static const char* const lowercase_tab = "0123456789abcdef";
- static const char* const uppercase_tab = "0123456789ABCDEF";
-
- const char* const tab = (f & std::ios_base::uppercase)
- ? uppercase_tab
- : lowercase_tab;
-
- const digit_type mask = (digit_type(1) << sc.radix_storage_bits) - 1;
-
- int offset = total_bits % valid_bits;
- if (!offset)
- offset = valid_bits;
-
- const_reverse_iterator d = rbegin();
- for (;;)
- {
- offset -= sc.radix_storage_bits;
- while (offset >= 0)
- {
- *c++ = tab[(*d >> offset) & mask];
- offset -= sc.radix_storage_bits;
- }
- const digit_type partial_value = (*d << -offset) & mask;
- if (++d == rend())
- break;
- offset += valid_bits;
- *c++ = tab[partial_value | (*d >> offset)];
- }
- }
- else
- {
- digit_type m = 2;
- for (digit_type i = 100; i < sc.max_power_value; i *= 10)
- ++m;
-
- mp_int tmp = abs(*this);
-
- while (tmp)
- {
- digit_type remainder = ops_type::divide_by_digit(tmp.digits(),
- tmp.digits(),
- tmp.size(),
- sc.max_power_value);
- tmp.clamp_high_digit();
-
- for (digit_type i = 0; i < m; ++i)
- {
- if (remainder || tmp)
- *c++ = static_cast<char_type>('0' + remainder % 10U);
- remainder /= 10U;
- }
- }
- std::reverse(sd.ptr + prefix_offset, c);
- }
-
- s.assign(sd.ptr, c);
-
- return s;
-}
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/sub.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/sub.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,44 +0,0 @@
-// Copyright Kevin Sopp 2008 - 2009.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-template<class A, class T>
-void mp_int<A,T>::sub_digit(digit_type b)
-{
- if (is_negative())
- {
- const digit_type carry =
- ops_type::add_single_digit(digits_, digits_, size_, b);
- if (carry)
- push(carry);
- return;
- }
-
- if (size_ == 1)
- {
- if (digits_[0] < b) // example: 2 - 6 = -4
- {
- digits_[0] = b - digits_[0];
- set_sign(-1);
- }
- else // example: 8 - 7 = 1 or 5 - 5 = 0
- digits_[0] -= b;
- }
- else
- {
- ops_type::subtract_single_digit(digits_, digits_, size_, b);
- if (!digits_[size_-1])
- --size_;
- }
-}
-
-// low level subtraction (assumes |*this| >= |rhs|), HAC pp.595 Algorithm 14.9
-template<class A, class T>
-inline void mp_int<A,T>::sub_smaller_magnitude(const mp_int& rhs)
-{
- ops_type::sub_smaller_magnitude(digits_, digits_, size_, rhs.digits_, rhs.size_);
-
- clamp();
-}
-
Deleted: /sandbox/mp_math/boost/mp_math/mp_int/traits.hpp
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/traits.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,99 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_TRAITS_HPP
-#define BOOST_MP_MATH_MP_INT_TRAITS_HPP
-
-#include <cstddef> // size_t
-#include <limits>
-#include <boost/config.hpp>
-#include <boost/static_assert.hpp>
-#include <boost/mpl/back.hpp>
-#include <boost/mpl/bool.hpp>
-#include <boost/mpl/deref.hpp>
-#include <boost/mpl/lower_bound.hpp>
-#include <boost/mpl/vector.hpp>
-
-
-namespace boost {
-namespace mp_math {
-
-namespace detail {
-
-typedef mpl::vector<
- unsigned char,
- unsigned short,
- unsigned int,
- unsigned long int
- #ifdef BOOST_HAS_LONG_LONG
- ,
- unsigned long long int
- #endif
-> unsigned_type_vec;
-
-template<typename T1, typename T2>
-struct cmp_digits
-:
-mpl::bool_<
- std::numeric_limits<T1>::digits < std::numeric_limits<T2>::digits/2
->
-{
-};
-
-// we could also choose unsigned int (since this is propably the
-// fastest unsigned integer type) as digit_type then
-// try to find a larger type as word_type
-// if none exists set unsigned int as word_type and choose next
-// smaller type as digit_type
-struct choose
-{
- typedef mpl::back<unsigned_type_vec>::type word_type;
- typedef mpl::deref<
- mpl::lower_bound<
- unsigned_type_vec, word_type, cmp_digits<mpl::_1,mpl::_2>
- >::type
- >::type digit_type;
-};
-
-} // namespace detail
-
-
-template<
- typename Digit = detail::choose::digit_type,
- typename Word = detail::choose::word_type/*,
- bool debug = false*/
->
-struct mp_int_traits
-{
- BOOST_STATIC_ASSERT(
- std::numeric_limits<Digit>::digits <= std::numeric_limits<Word>::digits/2
- );
-
- typedef Digit digit_type;
- typedef Word word_type;
-
- static std::size_t toom_mul_cutoff;
- static std::size_t toom_sqr_cutoff;
- static std::size_t karatsuba_mul_cutoff;
- static std::size_t karatsuba_sqr_cutoff;
-};
-
-
-#define BMPINT_init(S) template<typename D, typename W>\
- S mp_int_traits<D,W>::
-BMPINT_init(std::size_t)toom_mul_cutoff = 350;
-BMPINT_init(std::size_t)toom_sqr_cutoff = 400;
-BMPINT_init(std::size_t)karatsuba_mul_cutoff = 80;
-BMPINT_init(std::size_t)karatsuba_sqr_cutoff = 120;
-
-#undef BMPINT_init
-
-
-
-} // namespace mp_math
-} // namespace boost
-
-#endif
-
Added: sandbox/mp_math/boost/mp_math/integer/unbounded.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/unbounded.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,118 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_UNBOUNDED_HPP
+#define BOOST_MP_MATH_INTEGER_UNBOUNDED_HPP
+
+#include <boost/config.hpp>
+#include <boost/mp_math/integer/unbounded_int.hpp>
+#include <boost/mp_math/integer/unbounded_uint.hpp>
+#include <boost/mp_math/integer/unbounded_traits.hpp>
+
+namespace boost {
+namespace mp_math {
+
+template<
+ bool IsSigned = true,
+ class Alloc = std::allocator<void>,
+ class Traits = unbounded_traits<>
+>
+struct unbounded
+:
+ mpl::if_c<
+ IsSigned,
+ unbounded_int<Alloc,Traits>,
+ unbounded_uint<Alloc,Traits>
+ >::type
+{
+ typedef typename mpl::if_c<
+ IsSigned,
+ unbounded_int<Alloc,Traits>,
+ unbounded_uint<Alloc,Traits>
+ >::type base_type;
+
+ // these constants are used by the numeric_limits specialization
+ static const bool is_signed = IsSigned;
+ static const bool is_bounded = false;
+
+ typedef typename base_type::traits_type traits_type;
+ typedef typename base_type::digit_type digit_type;
+ typedef typename base_type::size_type size_type;
+
+ unbounded(){}
+
+ #if !defined(BOOST_NO_VARIADIC_TEMPLATES) &&\
+ !defined(BOOST_NO_RVALUE_REFERENCES)
+ template<typename... Args>
+ unbounded(Args&&... args)
+ :
+ base_type(args...)
+ {}
+
+ #else
+
+ template<typename T1>
+ unbounded(const T1& t1)
+ : base_type(t1) {}
+
+ template<typename T1, typename T2>
+ unbounded(const T1& t1, const T2& t2)
+ : base_type(t1, t2) {}
+
+ template<typename T1, typename T2, typename T3>
+ unbounded(const T1& t1, const T2& t2, const T3& t3)
+ : base_type(t1, t2, t3) {}
+
+ template<typename T1, typename T2, typename T3, typename T4>
+ unbounded(const T1& t1, const T2& t2, const T3& t3, const T4& t4)
+ : base_type(t1, t2, t3, t4) {}
+
+ template<typename T1, typename T2, typename T3, typename T4, typename T5>
+ unbounded(const T1& t1, const T2& t2, const T3& t3, const T4& t4, const T5& t5)
+ : base_type(t1, t2, t3, t4, t5) {}
+ #endif
+
+ template<typename T>
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ unbounded& operator = (T&& t)
+ #else
+ unbounded& operator = (const T& t)
+ #endif
+ {
+ base_type::operator=(t);
+ return *this;
+ }
+
+ operator base_type& () { return *this; }
+ operator const base_type& () const { return *this; }
+};
+
+
+template<bool S, class A, class T>
+struct modpow_ctx<unbounded<S,A,T> >
+:
+ modpow_ctx<typename unbounded<S,A,T>::base_type>
+{};
+
+// returns base^exp % mod
+template<bool S, class A, class T>
+inline
+unbounded<S,A,T> modpow(const unbounded<S,A,T>& base,
+ const unbounded<S,A,T>& exp,
+ const unbounded<S,A,T>& mod,
+ modpow_ctx<unbounded<S,A,T> >* ctx = 0)
+{
+ return modpow(static_cast<const typename unbounded<S,A,T>::base_type&>(base),
+ static_cast<const typename unbounded<S,A,T>::base_type&>(exp),
+ static_cast<const typename unbounded<S,A,T>::base_type&>(mod),
+ static_cast<modpow_ctx<typename unbounded<S,A,T>::base_type>*>(ctx));
+}
+
+
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Added: sandbox/mp_math/boost/mp_math/integer/unbounded_int.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/unbounded_int.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,1469 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_UNBOUNDED_INT_HPP
+#define BOOST_MP_MATH_INTEGER_UNBOUNDED_INT_HPP
+
+#include <boost/config.hpp>
+#include <boost/mp_math/integer/contexts.hpp>
+#include <boost/mp_math/integer/unbounded_traits.hpp>
+#include <boost/mp_math/integer/detail/adder.hpp>
+#include <boost/mp_math/integer/detail/bitwise_ops.hpp>
+#include <boost/mp_math/integer/detail/divider.hpp>
+#include <boost/mp_math/integer/detail/gcd.hpp>
+#include <boost/mp_math/integer/detail/jacobi.hpp>
+#include <boost/mp_math/integer/detail/lcm.hpp>
+#include <boost/mp_math/integer/detail/modinv.hpp>
+#include <boost/mp_math/integer/detail/modpow.hpp>
+#include <boost/mp_math/integer/detail/power.hpp>
+#include <boost/mp_math/integer/detail/root.hpp>
+#include <boost/mp_math/integer/detail/string_conversion.hpp>
+#include <boost/mp_math/integer/detail/unbounded_int_integral.hpp>
+#include <boost/mp_math/integer/detail/base/unbounded_int.hpp>
+
+namespace boost {
+namespace mp_math {
+
+template<
+ class Alloc = std::allocator<void>,
+ class Traits = unbounded_traits<>
+>
+struct unbounded_int
+:
+ /*typename*/ Alloc::template rebind<typename Traits::digit_type>::other,
+ detail::base::unbounded_int<Traits>
+{
+protected:
+
+ typedef detail::base::unbounded_int<Traits> base_type;
+
+ typedef typename Alloc::template
+ rebind<typename Traits::digit_type>::other base_allocator_type;
+
+public:
+
+ template<typename IntegralT>
+ struct integral_ops
+ :
+ detail::unbounded_int_integral_ops<unbounded_int, IntegralT>
+ {};
+
+ typedef Alloc allocator_type;
+ typedef Traits traits_type;
+ typedef typename traits_type::digit_type digit_type;
+ typedef typename allocator_type::size_type size_type;
+
+ typedef typename base_type::iterator iterator;
+ typedef typename base_type::const_iterator const_iterator;
+ typedef typename base_type::reverse_iterator reverse_iterator;
+ typedef typename base_type::const_reverse_iterator const_reverse_iterator;
+ typedef typename base_type::magnitude_type magnitude_type;
+
+ unbounded_int();
+
+ explicit unbounded_int(const allocator_type& a);
+
+ template<typename IntegralT>
+ unbounded_int(IntegralT,
+ const allocator_type& a = allocator_type(),
+ typename enable_if<is_integral<IntegralT> >::type* dummy = 0);
+
+ template<typename charT>
+ unbounded_int(const charT*, const allocator_type& a = allocator_type());
+
+ template<typename charT>
+ unbounded_int(const charT*,
+ std::ios_base::fmtflags,
+ const allocator_type& a = allocator_type());
+
+ template<typename charT, class traits, class alloc>
+ unbounded_int(const std::basic_string<charT,traits,alloc>&,
+ const allocator_type& a = allocator_type());
+
+ template<typename charT, class traits, class alloc>
+ unbounded_int(const std::basic_string<charT,traits,alloc>&,
+ std::ios_base::fmtflags,
+ const allocator_type& a = allocator_type());
+
+ template<typename RandomAccessIterator>
+ unbounded_int(RandomAccessIterator first,
+ RandomAccessIterator last,
+ const allocator_type& a = allocator_type());
+
+ template<typename RandomAccessIterator>
+ unbounded_int(RandomAccessIterator first,
+ RandomAccessIterator last,
+ std::ios_base::fmtflags f,
+ const allocator_type& a = allocator_type());
+
+ unbounded_int(const unbounded_int& copy);
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ unbounded_int(unbounded_int&& copy);
+ #endif
+
+ ~unbounded_int();
+
+ unbounded_int& operator = (const unbounded_int& rhs);
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ unbounded_int& operator = (unbounded_int&& rhs);
+ #endif
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator = (IntegralT rhs);
+
+ template<typename charT>
+ unbounded_int& operator = (const charT*);
+
+ template<typename charT, class traits, class alloc>
+ unbounded_int& operator = (const std::basic_string<charT,traits,alloc>&);
+
+ template<typename charT>
+ void assign(const charT*, std::ios_base::fmtflags);
+
+ template<typename charT, class traits, class alloc>
+ void assign(const std::basic_string<charT,traits,alloc>&,
+ std::ios_base::fmtflags);
+
+ template<typename RandomAccessIterator>
+ void assign(RandomAccessIterator first, RandomAccessIterator last,
+ std::ios_base::fmtflags);
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ void swap(unbounded_int&& other)
+ #else
+ void swap(unbounded_int& other)
+ #endif
+ {
+ base_type::swap(other);
+ }
+
+ allocator_type get_allocator() const { return allocator_type(); }
+
+ void reserve(size_type n);
+
+ unbounded_int& operator ++();
+ unbounded_int& operator --();
+ unbounded_int operator ++(int);
+ unbounded_int operator --(int);
+ unbounded_int& operator <<= (size_type);
+ unbounded_int& operator >>= (size_type);
+ unbounded_int& operator - ();
+
+ unbounded_int& operator += (const unbounded_int&);
+ unbounded_int& operator -= (const unbounded_int&);
+ unbounded_int& operator *= (const unbounded_int&);
+ unbounded_int& operator /= (const unbounded_int&);
+ unbounded_int& operator %= (const unbounded_int&);
+ unbounded_int& operator |= (const unbounded_int&);
+ unbounded_int& operator &= (const unbounded_int&);
+ unbounded_int& operator ^= (const unbounded_int&);
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator += (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator -= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator *= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator /= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator %= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator |= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator &= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_int&>::type
+ operator ^= (IntegralT);
+
+ template<typename charT> unbounded_int& operator += (const charT*);
+ template<typename charT> unbounded_int& operator -= (const charT*);
+ template<typename charT> unbounded_int& operator *= (const charT*);
+ template<typename charT> unbounded_int& operator /= (const charT*);
+ template<typename charT> unbounded_int& operator %= (const charT*);
+ template<typename charT> unbounded_int& operator |= (const charT*);
+ template<typename charT> unbounded_int& operator &= (const charT*);
+ template<typename charT> unbounded_int& operator ^= (const charT*);
+
+ template<typename charT, class traits, class alloc>
+ unbounded_int& operator += (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_int& operator -= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_int& operator *= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_int& operator /= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_int& operator %= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_int& operator |= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_int& operator &= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_int& operator ^= (const std::basic_string<charT,traits,alloc>&);
+
+ template<class StringT>
+ StringT to_string(std::ios_base::fmtflags f = std::ios_base::dec) const
+ {
+ StringT tmp;
+ detail::to_string_converter<unbounded_int> conv;
+ conv.convert(tmp, *this, f);
+ return tmp;
+ }
+
+protected:
+
+ template<typename Iter>
+ void init_from_string(Iter first, Iter last)
+ {
+ detail::from_string_converter<unbounded_int> conv;
+ conv.detect_properties(first, last);
+ conv.convert(*this, first, last);
+ if (*this)
+ base_type::set_sign_bit(conv.is_positive ? 0 : 1);
+ }
+
+ template<typename Iter>
+ void init_from_string(Iter first, Iter last, std::ios_base::fmtflags f)
+ {
+ detail::from_string_converter<unbounded_int> conv;
+ conv.detect_properties(first, last, f);
+ conv.convert(*this, first, last);
+ if (*this)
+ base_type::set_sign_bit(conv.is_positive ? 0 : 1);
+ }
+};
+
+
+template<class A, class T>
+inline void swap(unbounded_int<A,T>& lhs, unbounded_int<A,T>& rhs)
+{
+ lhs.swap(rhs);
+}
+
+#ifndef BOOST_NO_RVALUE_REFERENCES
+template<class A, class T>
+inline void swap(unbounded_int<A,T>&& lhs, unbounded_int<A,T>& rhs)
+{
+ lhs.swap(rhs);
+}
+template<class A, class T>
+inline void swap(unbounded_int<A,T>& lhs, unbounded_int<A,T>&& rhs)
+{
+ lhs.swap(rhs);
+}
+#endif
+
+
+template<class A, class T>
+unbounded_int<A,T>::unbounded_int()
+:
+ base_type(0, 0, 0)
+{
+}
+
+template<class A, class T>
+unbounded_int<A,T>::unbounded_int(const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+}
+
+template<class A, class T>
+template<typename IntegralT>
+unbounded_int<A,T>::unbounded_int(
+ IntegralT b,
+ const allocator_type& a,
+ typename enable_if<is_integral<IntegralT> >::type*)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ integral_ops<IntegralT>::assign(*this, b);
+}
+
+template<class A, class T>
+template<typename RandomAccessIterator>
+unbounded_int<A,T>::unbounded_int(RandomAccessIterator first,
+ RandomAccessIterator last,
+ const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(first, last);
+}
+
+template<class A, class T>
+template<typename charT>
+unbounded_int<A,T>::unbounded_int(const charT* s, const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(s, s + std::char_traits<charT>::length(s));
+}
+
+template<class A, class T>
+template<typename charT>
+unbounded_int<A,T>::unbounded_int(const charT* s,
+ std::ios_base::fmtflags f,
+ const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(s, s + std::char_traits<charT>::length(s), f);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+unbounded_int<A,T>::unbounded_int(
+ const std::basic_string<charT,traits,Alloc>& s,
+ const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(s.begin(), s.end());
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+unbounded_int<A,T>::unbounded_int(
+ const std::basic_string<charT,traits,Alloc>& s,
+ std::ios_base::fmtflags f,
+ const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(s.begin(), s.end(), f);
+}
+
+
+template<class A, class T>
+unbounded_int<A,T>::unbounded_int(const unbounded_int& copy)
+:
+ base_allocator_type(copy.get_allocator())
+{
+ base_type::digits_ = this->allocate(copy.size());
+ std::memcpy(base_type::digits_,
+ copy.digits(), copy.size() * sizeof(digit_type));
+ base_type::set_size(copy.size());
+ base_type::set_capacity(copy.size());
+ base_type::set_sign_bit(copy.sign_bit());
+}
+
+#ifndef BOOST_NO_RVALUE_REFERENCES
+template<class A, class T>
+unbounded_int<A,T>::unbounded_int(unbounded_int&& copy)
+:
+ base_type(copy.digits(), copy.size(), copy.capacity_)
+{
+ copy.digits_ = 0;
+ copy.size_ = 0;
+ copy.capacity_ = 0;
+}
+#endif
+
+
+template<class A, class T>
+unbounded_int<A,T>::~unbounded_int()
+{
+ base_type::assert_invariants();
+ if (base_type::digits())
+ this->deallocate(base_type::digits(), base_type::capacity());
+}
+
+template<class A, class T>
+unbounded_int<A,T>&
+unbounded_int<A,T>::operator = (const unbounded_int<A,T>& rhs)
+{
+ if (this != &rhs)
+ {
+ if ((base_type::capacity() == 0) || (base_type::capacity() < rhs.size()))
+ unbounded_int(rhs).swap(*this);
+ else
+ {
+ std::memcpy(base_type::digits_,
+ rhs.digits(), rhs.size() * sizeof(digit_type));
+ base_type::set_size(rhs.size());
+ base_type::set_sign_bit(rhs.sign_bit());
+ }
+ }
+ return *this;
+}
+
+#ifndef BOOST_NO_RVALUE_REFERENCES
+template<class A, class T>
+unbounded_int<A,T>& unbounded_int<A,T>::operator = (unbounded_int<A,T>&& rhs)
+{
+ if (this != &rhs)
+ {
+ if (base_type::digits())
+ this->deallocate(base_type::digits(), base_type::capacity());
+ base_type::digits_ = 0;
+ base_type::size_ = 0;
+ base_type::capacity_ = 0;
+ swap(rhs);
+ }
+ return *this;
+}
+#endif
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T>&>::type
+unbounded_int<A,T>::operator = (IntegralT rhs)
+{
+ integral_ops<IntegralT>::assign(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename charT>
+unbounded_int<A,T>& unbounded_int<A,T>::operator = (const charT* s)
+{
+ base_type::set_size(0);
+ init_from_string(s, s + std::char_traits<charT>::length(s));
+ if (!*this) // This may happen on the input "0"
+ base_type::set_sign(1);
+ return *this;
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+unbounded_int<A,T>&
+unbounded_int<A,T>::operator = (const std::basic_string<charT,traits,Alloc>& s)
+{
+ base_type::set_size(0);
+ init_from_string(s.begin(), s.end());
+ if (!*this)
+ base_type::set_sign(1);
+ return *this;
+}
+
+template<class A, class T>
+template<typename charT>
+inline void
+unbounded_int<A,T>::assign(const charT* s, std::ios_base::fmtflags f)
+{
+ assign(s, s + std::char_traits<charT>::length(s), f);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline void
+unbounded_int<A,T>::assign(const std::basic_string<charT,traits,Alloc>& s,
+ std::ios_base::fmtflags f)
+{
+ assign(s.begin(), s.end(), f);
+}
+
+template<class A, class T>
+template<typename RandomAccessIterator>
+inline void
+unbounded_int<A,T>::assign(RandomAccessIterator first,
+ RandomAccessIterator last,
+ std::ios_base::fmtflags f)
+{
+ base_type::set_size(0);
+ init_from_string(first, last, f);
+ if (!*this)
+ base_type::set_sign(1);
+}
+
+template<class A, class T>
+void unbounded_int<A,T>::reserve(size_type n)
+{
+ if (base_type::capacity() < n)
+ {
+ const size_type new_cap = base_type::capacity() + base_type::capacity();
+ if (new_cap > n)
+ n = new_cap;
+ digit_type* d = this->allocate(n, base_type::digits_);
+ std::memcpy(d, base_type::digits(), sizeof(digit_type) * base_type::size());
+ this->deallocate(base_type::digits_, base_type::capacity());
+ base_type::digits_ = d;
+ base_type::set_capacity(n);
+ }
+}
+
+// prefix ops
+template<class A, class T>
+inline unbounded_int<A,T>& unbounded_int<A,T>::operator ++()
+{
+ reserve(base_type::size() + 1);
+ base_type::operator++();
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>& unbounded_int<A,T>::operator --()
+{
+ base_type::operator--();
+ return *this;
+}
+
+// postfix ops
+template<class A, class T>
+inline unbounded_int<A,T> unbounded_int<A,T>::operator ++(int)
+{
+ unbounded_int<A,T> tmp(*this);
+ ++(*this);
+ return tmp;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T> unbounded_int<A,T>::operator --(int)
+{
+ unbounded_int<A,T> tmp(*this);
+ --(*this);
+ return tmp;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>& unbounded_int<A,T>::operator <<= (size_type n)
+{
+ if (*this != digit_type(0))
+ detail::shifter<unbounded_int>::shift_bits_left(*this, n);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>& unbounded_int<A,T>::operator >>= (size_type n)
+{
+ detail::shifter<unbounded_int>::shift_bits_right(*this, n);
+ if (!*this)
+ base_type::set_sign_bit(0);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>
+operator << (const unbounded_int<A,T>& x,
+ typename unbounded_int<A,T>::size_type n)
+{
+ unbounded_int<A,T> nrv(x);
+ nrv <<= n;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>
+operator >> (const unbounded_int<A,T>& x,
+ typename unbounded_int<A,T>::size_type n)
+{
+ unbounded_int<A,T> nrv(x);
+ nrv >>= n;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>&
+unbounded_int<A,T>::operator += (const unbounded_int<A,T>& rhs)
+{
+ detail::adder<unbounded_int, true>::add(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>&
+unbounded_int<A,T>::operator -= (const unbounded_int<A,T>& rhs)
+{
+ detail::adder<unbounded_int, true>::subtract(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>&
+unbounded_int<A,T>::operator *= (const unbounded_int<A,T>& rhs)
+{
+ detail::multiplier<unbounded_int>::multiply_or_square(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+unbounded_int<A,T>&
+unbounded_int<A,T>::operator /= (const unbounded_int<A,T>& rhs)
+{
+ const unbounded_int tmp(*this);
+ detail::divider<unbounded_int>::classic_divide(tmp, rhs, *this);
+ base_type::set_sign_bit(tmp.sign_bit() ^ rhs.sign_bit());
+ return *this;
+}
+
+template<class A, class T>
+unbounded_int<A,T>&
+unbounded_int<A,T>::operator %= (const unbounded_int<A,T>& rhs)
+{
+ const bool sign = base_type::sign_bit();
+ unbounded_int quotient;
+ detail::divider<unbounded_int>::classic_divide(*this, rhs, quotient, this);
+ if (*this)
+ base_type::set_sign_bit(sign);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>&
+unbounded_int<A,T>::operator |= (const unbounded_int<A,T>& rhs)
+{
+ detail::bitwise_ops<unbounded_int>::or_bits(*this, *this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>&
+unbounded_int<A,T>::operator &= (const unbounded_int<A,T>& rhs)
+{
+ detail::bitwise_ops<unbounded_int>::and_bits(*this, *this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T>&
+unbounded_int<A,T>::operator ^= (const unbounded_int<A,T>& rhs)
+{
+ detail::bitwise_ops<unbounded_int>::xor_bits(*this, *this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T> operator + (const unbounded_int<A,T>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv += rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T> operator - (const unbounded_int<A,T>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv -= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T> operator * (const unbounded_int<A,T>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ unbounded_int<A,T> nrv;
+ detail::multiplier<unbounded_int<A,T> >::multiply_or_square(nrv, lhs, rhs);
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T> operator / (const unbounded_int<A,T>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv /= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T> operator % (const unbounded_int<A,T>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv %= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T> operator | (const unbounded_int<A,T>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv |= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T> operator & (const unbounded_int<A,T>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv &= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_int<A,T> operator ^ (const unbounded_int<A,T>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv ^= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+unbounded_int<A,T> operator ~ (const unbounded_int<A,T>& x)
+{
+ unbounded_int<A,T> nrv;
+ nrv.reserve(x.size());
+ detail::base::bitwise_ops<unbounded_int<A,T> >::compl_bits(nrv, x);
+ return nrv;
+}
+
+// Arithmetic and bitwise operators involving integral types
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T>&>::type
+unbounded_int<A,T>::operator += (IntegralT rhs)
+{
+ integral_ops<IntegralT>::add(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T>&>::type
+unbounded_int<A,T>::operator -= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::subtract(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T>&>::type
+unbounded_int<A,T>::operator *= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::multiply(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T>&>::type
+unbounded_int<A,T>::operator /= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::divide(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T>&>::type
+unbounded_int<A,T>::operator %= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::modulo(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T>&>::type
+unbounded_int<A,T>::operator |= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_or(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T>&>::type
+unbounded_int<A,T>::operator &= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_and(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T>&>::type
+unbounded_int<A,T>::operator ^= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_xor(*this, rhs);
+ return *this;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T> >::type
+operator + (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv += rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T> >::type
+operator - (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv -= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T> >::type
+operator * (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv *= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T> >::type
+operator / (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv /= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T> >::type
+operator % (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv %= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T> >::type
+operator | (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv |= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T> >::type
+operator & (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv &= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_int<A,T> >::type
+operator ^ (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_int<A,T> nrv(lhs);
+ nrv ^= rhs;
+ return nrv;
+}
+
+// compare unbounded_int to unbounded_int
+template<class A, class T>
+inline bool
+operator == (const unbounded_int<A,T>& lhs, const unbounded_int<A,T>& rhs)
+{
+ return (lhs.sign_bit() == rhs.sign_bit()) &&
+ (lhs.size() == rhs.size() ) &&
+ std::equal(lhs.begin(), lhs.end(), rhs.begin());
+}
+
+template<class A, class T>
+inline bool
+operator != (const unbounded_int<A,T>& lhs, const unbounded_int<A,T>& rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class A, class T>
+bool
+operator < (const unbounded_int<A,T>& lhs, const unbounded_int<A,T>& rhs)
+{
+ if (lhs.sign_bit() != rhs.sign_bit())
+ {
+ if (lhs.is_negative())
+ return true;
+ else
+ return false;
+ }
+
+ if (lhs.size() < rhs.size())
+ return true;
+ if (lhs.size() > rhs.size())
+ return false;
+
+ if (lhs.is_negative())
+ return std::lexicographical_compare(
+ rhs.rbegin(), rhs.rend(), lhs.rbegin(), lhs.rend());
+ else
+ return std::lexicographical_compare(
+ lhs.rbegin(), lhs.rend(), rhs.rbegin(), rhs.rend());
+}
+
+template<class A, class T>
+inline bool
+operator > (const unbounded_int<A,T>& lhs, const unbounded_int<A,T>& rhs)
+{
+ return rhs < lhs;
+}
+
+template<class A, class T>
+inline bool
+operator <= (const unbounded_int<A,T>& lhs, const unbounded_int<A,T>& rhs)
+{
+ return !(rhs < lhs);
+}
+
+template<class A, class T>
+inline bool
+operator >= (const unbounded_int<A,T>& lhs, const unbounded_int<A,T>& rhs)
+{
+ return !(lhs < rhs);
+}
+
+// compare unbounded_int to integral
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator == (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ return detail::unbounded_int_integral_ops<
+ unbounded_int<A,T>, IntegralT>::equal(lhs, rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator != (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator < (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ return detail::unbounded_int_integral_ops<
+ unbounded_int<A,T>, IntegralT>::less(lhs, rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator > (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ return rhs < lhs;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator <= (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ return (lhs < rhs) || (lhs == rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator >= (const unbounded_int<A,T>& lhs, IntegralT rhs)
+{
+ return !(lhs < rhs);
+}
+
+// compare integral to unbounded_int
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator == (IntegralT lhs, const unbounded_int<A,T>& rhs)
+{
+ return rhs == lhs;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator != (IntegralT lhs, const unbounded_int<A,T>& rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator < (IntegralT lhs, const unbounded_int<A,T>& rhs)
+{
+ return !(rhs <= lhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator > (IntegralT lhs, const unbounded_int<A,T>& rhs)
+{
+ return rhs < lhs;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator <= (IntegralT lhs, const unbounded_int<A,T>& rhs)
+{
+ return !(rhs < lhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator >= (IntegralT lhs, const unbounded_int<A,T>& rhs)
+{
+ return rhs <= lhs;
+}
+
+// compare unbounded_int to const charT*
+template<class A, class T, typename charT>
+inline bool
+operator == (const unbounded_int<A,T>& lhs, const charT* rhs)
+{
+ return lhs == unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator != (const unbounded_int<A,T>& lhs, const charT* rhs)
+{
+ return lhs != unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator < (const unbounded_int<A,T>& lhs, const charT* rhs)
+{
+ return lhs < unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator > (const unbounded_int<A,T>& lhs, const charT* rhs)
+{
+ return lhs > unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator <= (const unbounded_int<A,T>& lhs, const charT* rhs)
+{
+ return lhs <= unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator >= (const unbounded_int<A,T>& lhs, const charT* rhs)
+{
+ return lhs >= unbounded_int<A,T>(rhs);
+}
+
+// comparison const charT* to unbounded_int
+template<class A, class T, typename charT>
+inline bool
+operator == (const charT* lhs, const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) == rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator != (const charT* lhs, const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) != rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator < (const charT* lhs, const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) < rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator > (const charT* lhs, const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) > rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator <= (const charT* lhs, const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) <= rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator >= (const charT* lhs, const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) >= rhs;
+}
+
+// compare unbounded_int to basic_string
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator == (const unbounded_int<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs == unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator != (const unbounded_int<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs != unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator < (const unbounded_int<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs < unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator > (const unbounded_int<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs > unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator <= (const unbounded_int<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs <= unbounded_int<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator >= (const unbounded_int<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs >= unbounded_int<A,T>(rhs);
+}
+
+// compare basic_string to unbounded_int
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator == (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) == rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator != (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) != rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator < (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) < rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator > (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) > rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator <= (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) <= rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator >= (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_int<A,T>& rhs)
+{
+ return unbounded_int<A,T>(lhs) >= rhs;
+}
+
+// Input/Output
+template<class A, class T, typename charT, class traits>
+std::basic_istream<charT, traits>&
+operator >> (std::basic_istream<charT, traits>& is, unbounded_int<A,T>& x)
+{
+ typename std::basic_istream<charT, traits>::sentry sentry(is);
+ if (!sentry)
+ return is;
+
+ // TODO we read into a string first which costs memory and std::string
+ // allocator is not under user control. We should convert incoming digits
+ // directly. Actually we should check what is the fastest way.
+ std::string s;
+
+ const std::istreambuf_iterator<charT, traits> end;
+ std::istreambuf_iterator<charT, traits> c(is);
+
+ if (*c == '+' || *c == '-')
+ {
+ s.push_back(*c);
+ ++c;
+ }
+
+ int base;
+ if (*c == '0')
+ {
+ base = 8;
+ s.push_back(*c);
+ ++c;
+ if (*c == 'x' || *c == 'X')
+ {
+ base = 16;
+ s.push_back(*c);
+ ++c;
+ }
+ }
+ else if (*c >= '0' && *c <= '9')
+ base = 10;
+ else
+ {
+ is.setstate(std::ios_base::failbit);
+ return is;
+ }
+
+ switch (base)
+ {
+ case 8:
+ while (c != end)
+ {
+ if (*c >= '0' && *c <= '7')
+ s.push_back(*c);
+ else
+ break;
+ ++c;
+ }
+ break;
+ case 10:
+ while (c != end)
+ {
+ if (*c >= '0' && *c <= '9')
+ s.push_back(*c);
+ else
+ break;
+ ++c;
+ }
+ break;
+ case 16:
+ while (c != end)
+ {
+ if ((*c >= '0' && *c <= '9') ||
+ (*c >= 'A' && *c <= 'F') ||
+ (*c >= 'a' && *c <= 'f'))
+ s.push_back(*c);
+ else
+ break;
+ ++c;
+ }
+ break;
+ }
+
+ const unbounded_int<A,T> tmp(s.begin(), s.end());
+ x = tmp;
+
+ return is;
+}
+
+template<class A, class T, typename charT, class traits>
+std::basic_ostream<charT, traits>&
+operator << (std::basic_ostream<charT, traits>& os, const unbounded_int<A,T>& x)
+{
+ // TODO same as above, we should output digits directly to the stream
+ return os << x.template to_string<std::string>(os.flags());
+}
+
+
+template<class A, class T>
+unbounded_int<A,T> abs(const unbounded_int<A,T>& x)
+{
+ unbounded_int<A,T> tmp(x);
+ tmp.set_sign_bit(0);
+ return tmp;
+}
+
+template<class A, class T>
+inline
+unbounded_int<A,T> gcd(const unbounded_int<A,T>& a,
+ const unbounded_int<A,T>& b)
+{
+ unbounded_int<A,T> z;
+ detail::gcd_finder<unbounded_int<A,T> >::gcd(z, a, b);
+ return z;
+}
+
+#ifndef BOOST_NO_VARIADIC_TEMPLATES
+template<class A, class T, class... Integer>
+unbounded_int<A,T> gcd(const unbounded_int<A,T>& a,
+ const unbounded_int<A,T>& b,
+ const Integer&... args)
+{
+ return gcd(gcd(a, b), args...);
+}
+#endif
+
+template<class A, class T>
+inline
+unbounded_int<A,T> lcm(const unbounded_int<A,T>& a,
+ const unbounded_int<A,T>& b)
+{
+ unbounded_int<A,T> z;
+ detail::lcm_finder<unbounded_int<A,T> >::lcm(z, a, b);
+ return z;
+}
+
+#ifndef BOOST_NO_VARIADIC_TEMPLATES
+template<class A, class T, class... Integer>
+unbounded_int<A,T> lcm(const unbounded_int<A,T>& a,
+ const unbounded_int<A,T>& b,
+ const Integer&... args)
+{
+ return lcm(lcm(a, b), args...);
+}
+#endif
+
+template<class A, class T>
+inline
+unbounded_int<A,T>
+pow(const unbounded_int<A,T>& x, typename unbounded_int<A,T>::size_type y)
+{
+ unbounded_int<A,T> z;
+ detail::power<unbounded_int<A,T> >::pow(z, x, y);
+ return z;
+}
+
+template<class A, class T>
+inline
+unbounded_int<A,T>
+pow(const unbounded_int<A,T>& x, const unbounded_int<A,T>& y)
+{
+ unbounded_int<A,T> z;
+ detail::power<unbounded_int<A,T> >::pow(z, x, y);
+ return z;
+}
+
+template<class A, class T>
+inline
+unbounded_int<A,T> sqrt(const unbounded_int<A,T>& x)
+{
+ unbounded_int<A,T> z;
+ detail::root<unbounded_int<A,T> >::sqrt(z, x);
+ return z;
+}
+
+template<class A, class T>
+inline
+unbounded_int<A,T> nth_root(typename unbounded_int<A,T>::size_type n,
+ const unbounded_int<A,T>& x)
+{
+ unbounded_int<A,T> z;
+ detail::root<unbounded_int<A,T> >::nth_root(z, n, x);
+ return z;
+}
+
+template<class A, class T>
+inline
+unbounded_int<A,T> nth_root(const unbounded_int<A,T>& n,
+ const unbounded_int<A,T>& x)
+{
+ unbounded_int<A,T> z;
+ detail::root<unbounded_int<A,T> >::nth_root(z, n, x);
+ return z;
+}
+
+template<class A, class T>
+inline
+unbounded_int<A,T> modinv(const unbounded_int<A,T>& x,
+ const unbounded_int<A,T>& m)
+{
+ unbounded_int<A,T> nrv;
+ detail::modular_inverter<unbounded_int<A,T> >::modinv(nrv, x, m);
+ return nrv;
+}
+
+template<class A, class T>
+struct modpow_ctx<unbounded_int<A,T> >
+:
+ detail::modpow_ctx<unbounded_int<A,T> >
+{};
+
+// returns base^exp % mod
+template<class A, class T>
+inline
+unbounded_int<A,T> modpow(const unbounded_int<A,T>& base,
+ const unbounded_int<A,T>& exp,
+ const unbounded_int<A,T>& mod,
+ modpow_ctx<unbounded_int<A,T> >* ctx = 0)
+{
+ unbounded_int<A,T> z;
+ detail::modular_power<unbounded_int<A,T> >::modpow(z, base, exp, mod, ctx);
+ return z;
+}
+
+template<class A, class T>
+inline
+int jacobi(const unbounded_int<A,T>& x, const unbounded_int<A,T>& y)
+{
+ return detail::jacobi(x, y);
+}
+
+
+
+} // namespace mp_math
+} // namespace boost
+
+#endif
Copied: sandbox/mp_math/boost/mp_math/integer/unbounded_traits.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int/traits.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int/traits.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer/unbounded_traits.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,10 +1,10 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#ifndef BOOST_MP_MATH_MP_INT_TRAITS_HPP
-#define BOOST_MP_MATH_MP_INT_TRAITS_HPP
+#ifndef BOOST_MP_MATH_INTEGER_UNBOUNDED_TRAITS_HPP
+#define BOOST_MP_MATH_INTEGER_UNBOUNDED_TRAITS_HPP
#include <cstddef> // size_t
#include <limits>
@@ -15,6 +15,7 @@
#include <boost/mpl/deref.hpp>
#include <boost/mpl/lower_bound.hpp>
#include <boost/mpl/vector.hpp>
+#include <boost/mp_math/integer/detail/base/primitive_ops.hpp>
namespace boost {
@@ -61,34 +62,56 @@
template<
- typename Digit = detail::choose::digit_type,
- typename Word = detail::choose::word_type/*,
- bool debug = false*/
+ typename DigitT = detail::choose::digit_type,
+ typename WordT = detail::choose::word_type,
+ typename SizeT = std::size_t,
+ bool debug = false
>
-struct mp_int_traits
+struct unbounded_traits
{
BOOST_STATIC_ASSERT(
- std::numeric_limits<Digit>::digits <= std::numeric_limits<Word>::digits/2
+ std::numeric_limits<DigitT>::digits <= std::numeric_limits<WordT>::digits/2
);
- typedef Digit digit_type;
- typedef Word word_type;
+ typedef DigitT digit_type;
+ typedef WordT word_type;
+ typedef SizeT size_type;
+
+#ifdef BOOST_MP_MATH_PRIMITIVE_OPS_OLD
+ typedef detail::base::primitive_ops<
+ digit_type, word_type, size_type> ops_type;
+#else
+ typedef detail::base::primitive_ops<digit_type, size_type> ops_type;
+#endif
- static std::size_t toom_mul_cutoff;
- static std::size_t toom_sqr_cutoff;
- static std::size_t karatsuba_mul_cutoff;
- static std::size_t karatsuba_sqr_cutoff;
-};
+ static const bool enable_debug_mode = debug;
+ static const size_type radix_bits = std::numeric_limits<digit_type>::digits;
+ static const size_type digit_bits = std::numeric_limits<digit_type>::digits;
+ static const digit_type max_digit_value = static_cast<digit_type>(-1);
+
+ static size_type toom_mul_threshold;
+ static size_type toom_sqr_threshold;
+ static size_type karatsuba_mul_threshold;
+ static size_type karatsuba_sqr_threshold;
+};
-#define BMPINT_init(S) template<typename D, typename W>\
- S mp_int_traits<D,W>::
-BMPINT_init(std::size_t)toom_mul_cutoff = 350;
-BMPINT_init(std::size_t)toom_sqr_cutoff = 400;
-BMPINT_init(std::size_t)karatsuba_mul_cutoff = 80;
-BMPINT_init(std::size_t)karatsuba_sqr_cutoff = 120;
-#undef BMPINT_init
+template<typename D, typename W, typename S, bool b>
+typename unbounded_traits<D,W,S,b>::size_type
+unbounded_traits<D,W,S,b>::toom_mul_threshold = 350;
+
+template<typename D, typename W, typename S, bool b>
+typename unbounded_traits<D,W,S,b>::size_type
+unbounded_traits<D,W,S,b>::toom_sqr_threshold = 400;
+
+template<typename D, typename W, typename S, bool b>
+typename unbounded_traits<D,W,S,b>::size_type
+unbounded_traits<D,W,S,b>::karatsuba_mul_threshold = 80;
+
+template<typename D, typename W, typename S, bool b>
+typename unbounded_traits<D,W,S,b>::size_type
+unbounded_traits<D,W,S,b>::karatsuba_sqr_threshold = 120;
Added: sandbox/mp_math/boost/mp_math/integer/unbounded_uint.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/integer/unbounded_uint.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,1702 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_INTEGER_UNBOUNDED_UINT_HPP
+#define BOOST_MP_MATH_INTEGER_UNBOUNDED_UINT_HPP
+
+#include <boost/config.hpp>
+#include <boost/mp_math/integer/contexts.hpp>
+#include <boost/mp_math/integer/unbounded_traits.hpp>
+#include <boost/mp_math/integer/detail/adder.hpp>
+#include <boost/mp_math/integer/detail/bitwise_ops.hpp>
+#include <boost/mp_math/integer/detail/divider.hpp>
+#include <boost/mp_math/integer/detail/gcd.hpp>
+#include <boost/mp_math/integer/detail/jacobi.hpp>
+#include <boost/mp_math/integer/detail/lcm.hpp>
+#include <boost/mp_math/integer/detail/multiplier.hpp>
+#include <boost/mp_math/integer/detail/power.hpp>
+#include <boost/mp_math/integer/detail/root.hpp>
+#include <boost/mp_math/integer/detail/string_conversion.hpp>
+#include <boost/mp_math/integer/detail/unbounded_uint_integral.hpp>
+#include <boost/mp_math/integer/detail/base/unbounded_uint.hpp>
+
+namespace boost {
+namespace mp_math {
+
+template<
+ class Alloc = std::allocator<void>,
+ class Traits = unbounded_traits<>
+>
+struct unbounded_uint
+:
+ /*typename*/ Alloc::template rebind<typename Traits::digit_type>::other,
+ detail::base::unbounded_uint<Traits>
+{
+protected:
+
+ typedef detail::base::unbounded_uint<Traits> base_type;
+
+ typedef typename Alloc::template
+ rebind<typename Traits::digit_type>::other base_allocator_type;
+
+public:
+
+ template<typename IntegralT>
+ struct integral_ops
+ :
+ detail::unbounded_uint_integral_ops<unbounded_uint, IntegralT>
+ {};
+
+ typedef Alloc allocator_type;
+ typedef Traits traits_type;
+ typedef typename traits_type::digit_type digit_type;
+ typedef typename allocator_type::size_type size_type;
+
+ typedef typename base_type::iterator iterator;
+ typedef typename base_type::const_iterator const_iterator;
+ typedef typename base_type::reverse_iterator reverse_iterator;
+ typedef typename base_type::const_reverse_iterator const_reverse_iterator;
+
+ unbounded_uint();
+
+ explicit unbounded_uint(const allocator_type& a);
+
+ template<typename IntegralT>
+ unbounded_uint(IntegralT,
+ const allocator_type& a = allocator_type(),
+ typename enable_if<is_integral<IntegralT> >::type* dummy = 0);
+
+ template<typename charT>
+ unbounded_uint(const charT*, const allocator_type& a = allocator_type());
+
+ template<typename charT>
+ unbounded_uint(const charT*,
+ std::ios_base::fmtflags,
+ const allocator_type& a = allocator_type());
+
+ template<typename charT, class traits, class alloc>
+ unbounded_uint(const std::basic_string<charT,traits,alloc>&,
+ const allocator_type& a = allocator_type());
+
+ template<typename charT, class traits, class alloc>
+ unbounded_uint(const std::basic_string<charT,traits,alloc>&,
+ std::ios_base::fmtflags,
+ const allocator_type& a = allocator_type());
+
+ template<typename RandomAccessIterator>
+ unbounded_uint(RandomAccessIterator first,
+ RandomAccessIterator last,
+ const allocator_type& a = allocator_type());
+
+ template<typename RandomAccessIterator>
+ unbounded_uint(RandomAccessIterator first,
+ RandomAccessIterator last,
+ std::ios_base::fmtflags f,
+ const allocator_type& a = allocator_type());
+
+ unbounded_uint(const unbounded_uint& copy);
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ unbounded_uint(unbounded_uint&& copy);
+ #endif
+
+ ~unbounded_uint();
+
+ unbounded_uint& operator = (const unbounded_uint& rhs);
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ unbounded_uint& operator = (unbounded_uint&& rhs);
+ #endif
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint&>::type
+ operator = (IntegralT rhs);
+
+ template<typename charT>
+ unbounded_uint& operator = (const charT*);
+
+ template<typename charT, class traits, class alloc>
+ unbounded_uint& operator = (const std::basic_string<charT,traits,alloc>&);
+
+ template<typename charT>
+ void assign(const charT*, std::ios_base::fmtflags);
+
+ template<typename charT, class traits, class alloc>
+ void assign(const std::basic_string<charT,traits,alloc>&,
+ std::ios_base::fmtflags);
+
+ template<typename RandomAccessIterator>
+ void assign(RandomAccessIterator first, RandomAccessIterator last,
+ std::ios_base::fmtflags);
+
+ #ifndef BOOST_NO_RVALUE_REFERENCES
+ void swap(unbounded_uint&& other)
+ #else
+ void swap(unbounded_uint& other)
+ #endif
+ {
+ base_type::swap(other);
+ }
+
+ allocator_type get_allocator() const { return allocator_type(); }
+
+ void reserve(size_type n);
+
+ unbounded_uint& operator ++();
+ unbounded_uint& operator --();
+ unbounded_uint operator ++(int);
+ unbounded_uint operator --(int);
+ unbounded_uint& operator <<= (size_type);
+ unbounded_uint& operator >>= (size_type);
+
+ unbounded_uint& operator += (const unbounded_uint&);
+ unbounded_uint& operator -= (const unbounded_uint&);
+ unbounded_uint& operator *= (const unbounded_uint&);
+ unbounded_uint& operator /= (const unbounded_uint&);
+ unbounded_uint& operator %= (const unbounded_uint&);
+ unbounded_uint& operator |= (const unbounded_uint&);
+ unbounded_uint& operator &= (const unbounded_uint&);
+ unbounded_uint& operator ^= (const unbounded_uint&);
+
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint&>::type
+ operator += (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint&>::type
+ operator -= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint&>::type
+ operator *= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint&>::type
+ operator /= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint&>::type
+ operator %= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint&>::type
+ operator |= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint&>::type
+ operator &= (IntegralT);
+ template<typename IntegralT>
+ typename enable_if<is_integral<IntegralT>, unbounded_uint&>::type
+ operator ^= (IntegralT);
+
+ template<typename charT> unbounded_uint& operator += (const charT*);
+ template<typename charT> unbounded_uint& operator -= (const charT*);
+ template<typename charT> unbounded_uint& operator *= (const charT*);
+ template<typename charT> unbounded_uint& operator /= (const charT*);
+ template<typename charT> unbounded_uint& operator %= (const charT*);
+ template<typename charT> unbounded_uint& operator |= (const charT*);
+ template<typename charT> unbounded_uint& operator &= (const charT*);
+ template<typename charT> unbounded_uint& operator ^= (const charT*);
+
+ template<typename charT, class traits, class alloc>
+ unbounded_uint& operator += (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint& operator -= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint& operator *= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint& operator /= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint& operator %= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint& operator |= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint& operator &= (const std::basic_string<charT,traits,alloc>&);
+ template<typename charT, class traits, class alloc>
+ unbounded_uint& operator ^= (const std::basic_string<charT,traits,alloc>&);
+
+ template<class StringT>
+ StringT to_string(std::ios_base::fmtflags f = std::ios_base::dec) const
+ {
+ StringT tmp;
+ detail::to_string_converter<unbounded_uint> conv;
+ conv.convert(tmp, *this, f);
+ return tmp;
+ }
+
+protected:
+
+ template<typename Iter>
+ void init_from_string(Iter first, Iter last)
+ {
+ if (first < last)
+ {
+ detail::from_string_converter<unbounded_uint> conv;
+ conv.detect_properties(first, last);
+ if (!conv.is_positive)
+ throw std::invalid_argument("unbounded_uint::init_from_string: "
+ "cannot convert negative number to unsigned integer");
+ conv.convert(*this, first, last);
+ }
+ }
+
+ template<typename Iter>
+ void init_from_string(Iter first, Iter last, std::ios_base::fmtflags f)
+ {
+ if (first < last)
+ {
+ detail::from_string_converter<unbounded_uint> conv;
+ conv.detect_properties(first, last, f);
+ if (!conv.is_positive)
+ throw std::invalid_argument("unbounded_uint::init_from_string: "
+ "cannot convert negative number to unsigned integer");
+ conv.convert(*this, first, last);
+ }
+ }
+};
+
+
+template<class A, class T>
+unbounded_uint<A,T>::unbounded_uint()
+:
+ base_type(0, 0, 0)
+{
+}
+
+template<class A, class T>
+unbounded_uint<A,T>::unbounded_uint(const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+}
+
+template<class A, class T>
+template<typename IntegralT>
+unbounded_uint<A,T>::unbounded_uint(
+ IntegralT b,
+ const allocator_type& a,
+ typename enable_if<is_integral<IntegralT> >::type*)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ integral_ops<IntegralT>::assign(*this, b);
+}
+
+
+template<class A, class T>
+template<typename RandomAccessIterator>
+unbounded_uint<A,T>::unbounded_uint(RandomAccessIterator first,
+ RandomAccessIterator last,
+ const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(first, last);
+}
+
+template<class A, class T>
+template<typename charT>
+unbounded_uint<A,T>::unbounded_uint(const charT* s, const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(s, s + std::char_traits<charT>::length(s));
+}
+
+template<class A, class T>
+template<typename charT>
+unbounded_uint<A,T>::unbounded_uint(const charT* s,
+ std::ios_base::fmtflags f,
+ const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(s, s + std::char_traits<charT>::length(s), f);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+unbounded_uint<A,T>::unbounded_uint(
+ const std::basic_string<charT,traits,Alloc>& s,
+ const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(s.begin(), s.end());
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+unbounded_uint<A,T>::unbounded_uint(
+ const std::basic_string<charT,traits,Alloc>& s,
+ std::ios_base::fmtflags f,
+ const allocator_type& a)
+:
+ base_allocator_type(a),
+ base_type(0, 0, 0)
+{
+ init_from_string(s.begin(), s.end(), f);
+}
+
+
+template<class A, class T>
+unbounded_uint<A,T>::unbounded_uint(const unbounded_uint& copy)
+:
+ base_allocator_type(copy.get_allocator())
+{
+ base_type::digits_ = this->allocate(copy.size());
+ std::memcpy(base_type::digits_,
+ copy.digits(), copy.size() * sizeof(digit_type));
+ base_type::set_size(copy.size());
+ base_type::set_capacity(copy.size());
+}
+
+#ifndef BOOST_NO_RVALUE_REFERENCES
+template<class A, class T>
+unbounded_uint<A,T>::unbounded_uint(unbounded_uint&& copy)
+:
+ base_type(copy.digits(), copy.size(), copy.capacity())
+{
+ copy.digits_ = 0;
+ copy.size_ = 0;
+ copy.capacity_ = 0;
+}
+#endif
+
+
+template<class A, class T>
+unbounded_uint<A,T>::~unbounded_uint()
+{
+ base_type::assert_invariants();
+ if (base_type::digits())
+ this->deallocate(base_type::digits(), base_type::capacity());
+}
+
+template<class A, class T>
+unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator = (const unbounded_uint<A,T>& rhs)
+{
+ if (this != &rhs)
+ {
+ if ((base_type::capacity() == 0) || (base_type::capacity() < rhs.size()))
+ unbounded_uint(rhs).swap(*this);
+ else
+ {
+ std::memcpy(base_type::digits_,
+ rhs.digits(), rhs.size() * sizeof(digit_type));
+ base_type::set_size(rhs.size());
+ }
+ }
+ return *this;
+}
+
+#ifndef BOOST_NO_RVALUE_REFERENCES
+template<class A, class T>
+unbounded_uint<A,T>& unbounded_uint<A,T>::operator = (unbounded_uint<A,T>&& rhs)
+{
+ if (this != &rhs)
+ {
+ if (base_type::digits())
+ this->deallocate(base_type::digits(), base_type::capacity());
+ base_type::digits_ = 0;
+ base_type::size_ = 0;
+ base_type::capacity_ = 0;
+ swap(rhs);
+ }
+ return *this;
+}
+#endif
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T>&>::type
+unbounded_uint<A,T>::operator = (IntegralT rhs)
+{
+ integral_ops<IntegralT>::assign(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename charT>
+unbounded_uint<A,T>& unbounded_uint<A,T>::operator = (const charT* s)
+{
+ base_type::set_size(0);
+ init_from_string(s, s + std::char_traits<charT>::length(s));
+ return *this;
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator = (const std::basic_string<charT,traits,Alloc>& s)
+{
+ base_type::set_size(0);
+ init_from_string(s.begin(), s.end());
+ return *this;
+}
+
+template<class A, class T>
+template<typename charT>
+inline void
+unbounded_uint<A,T>::assign(const charT* s, std::ios_base::fmtflags f)
+{
+ assign(s, s + std::char_traits<charT>::length(s), f);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline void
+unbounded_uint<A,T>::assign(const std::basic_string<charT,traits,Alloc>& s,
+ std::ios_base::fmtflags f)
+{
+ assign(s.begin(), s.end(), f);
+}
+
+template<class A, class T>
+template<typename RandomAccessIterator>
+inline void
+unbounded_uint<A,T>::assign(RandomAccessIterator first,
+ RandomAccessIterator last,
+ std::ios_base::fmtflags f)
+{
+ base_type::set_size(0);
+ init_from_string(first, last, f);
+;
+}
+
+template<class A, class T>
+void unbounded_uint<A,T>::reserve(size_type n)
+{
+ if (base_type::capacity() < n)
+ {
+ const size_type new_cap = base_type::capacity() + base_type::capacity();
+ if (new_cap > n)
+ n = new_cap;
+ digit_type* d = this->allocate(n, base_type::digits_);
+ std::memcpy(d, base_type::digits(), sizeof(digit_type) * base_type::size());
+ this->deallocate(base_type::digits_, base_type::capacity());
+ base_type::digits_ = d;
+ base_type::set_capacity(n);
+ }
+}
+
+// prefix ops
+template<class A, class T>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator ++()
+{
+ reserve(base_type::size() + 1);
+ base_type::operator++();
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator --()
+{
+ base_type::operator--();
+ return *this;
+}
+
+// postfix ops
+template<class A, class T>
+inline unbounded_uint<A,T> unbounded_uint<A,T>::operator ++(int)
+{
+ unbounded_uint<A,T> tmp(*this);
+ ++(*this);
+ return tmp;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T> unbounded_uint<A,T>::operator --(int)
+{
+ unbounded_uint<A,T> tmp(*this);
+ --(*this);
+ return tmp;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator <<= (size_type n)
+{
+ if (*this != digit_type(0))
+ detail::shifter<unbounded_uint>::shift_bits_left(*this, n);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator >>= (size_type n)
+{
+ detail::shifter<unbounded_uint>::shift_bits_right(*this, n);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>
+operator << (const unbounded_uint<A,T>& x,
+ typename unbounded_uint<A,T>::size_type n)
+{
+ unbounded_uint<A,T> nrv(x);
+ nrv <<= n;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>
+operator >> (const unbounded_uint<A,T>& x,
+ typename unbounded_uint<A,T>::size_type n)
+{
+ unbounded_uint<A,T> nrv(x);
+ nrv >>= n;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator += (const unbounded_uint<A,T>& rhs)
+{
+ detail::adder<unbounded_uint, false>::add(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator -= (const unbounded_uint<A,T>& rhs)
+{
+ detail::adder<unbounded_uint, false>::subtract(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator *= (const unbounded_uint<A,T>& rhs)
+{
+ detail::multiplier<unbounded_uint>::multiply_or_square(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator /= (const unbounded_uint<A,T>& rhs)
+{
+ const unbounded_uint tmp(*this);
+ detail::divider<unbounded_uint>::classic_divide(tmp, rhs, *this);
+ return *this;
+}
+
+template<class A, class T>
+unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator %= (const unbounded_uint<A,T>& rhs)
+{
+ unbounded_uint quotient;
+ detail::divider<unbounded_uint>::classic_divide(*this, rhs, quotient, this);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator |= (const unbounded_uint<A,T>& rhs)
+{
+ detail::bitwise_ops<unbounded_uint>::or_bits(*this, *this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator &= (const unbounded_uint<A,T>& rhs)
+{
+ detail::bitwise_ops<unbounded_uint>::and_bits(*this, *this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator ^= (const unbounded_uint<A,T>& rhs)
+{
+ detail::bitwise_ops<unbounded_uint>::xor_bits(*this, *this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T> operator + (const unbounded_uint<A,T>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv += rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T> operator - (const unbounded_uint<A,T>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv -= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T> operator * (const unbounded_uint<A,T>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ unbounded_uint<A,T> nrv;
+ detail::multiplier<unbounded_uint<A,T> >::multiply_or_square(nrv, lhs, rhs);
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T> operator / (const unbounded_uint<A,T>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv /= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T> operator % (const unbounded_uint<A,T>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv %= rhs;
+ return nrv;
+}
+
+// TODO can do optimization here depending on which arg is larger, then
+// construct nrv from the larger to avoid a reallocation in op <<=. Same for
+// other args. The specific optimization that is possible depends on the
+// kind of operator we are looking at. That also means that we would need to
+// forward to these ops directly in integer.hpp. The same can be done for shift
+// operators << and >>.
+template<class A, class T>
+inline unbounded_uint<A,T> operator | (const unbounded_uint<A,T>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv |= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T> operator & (const unbounded_uint<A,T>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv &= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+inline unbounded_uint<A,T> operator ^ (const unbounded_uint<A,T>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv ^= rhs;
+ return nrv;
+}
+
+template<class A, class T>
+unbounded_uint<A,T> operator ~ (const unbounded_uint<A,T>& x)
+{
+ unbounded_uint<A,T> nrv;
+ nrv.reserve(x.size());
+ detail::base::bitwise_ops<unbounded_uint<A,T> >::compl_bits(nrv, x);
+ return nrv;
+}
+
+// Arithmetic and bitwise operators involving integral types
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T>&>::type
+unbounded_uint<A,T>::operator += (IntegralT rhs)
+{
+ integral_ops<IntegralT>::add(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T>&>::type
+unbounded_uint<A,T>::operator -= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::subtract(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T>&>::type
+unbounded_uint<A,T>::operator *= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::multiply(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T>&>::type
+unbounded_uint<A,T>::operator /= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::divide(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T>&>::type
+unbounded_uint<A,T>::operator %= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::modulo(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T>&>::type
+unbounded_uint<A,T>::operator |= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_or(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T>&>::type
+unbounded_uint<A,T>::operator &= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_and(*this, rhs);
+ return *this;
+}
+
+template<class A, class T>
+template<typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T>&>::type
+unbounded_uint<A,T>::operator ^= (IntegralT rhs)
+{
+ integral_ops<IntegralT>::bitwise_xor(*this, rhs);
+ return *this;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T> >::type
+operator + (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv += rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T> >::type
+operator - (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv -= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T> >::type
+operator * (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv *= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T> >::type
+operator / (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv /= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T> >::type
+operator % (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv %= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T> >::type
+operator | (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv |= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T> >::type
+operator & (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv &= rhs;
+ return nrv;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, unbounded_uint<A,T> >::type
+operator ^ (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv ^= rhs;
+ return nrv;
+}
+
+// Arithmetic and bitwise operators involving character strings
+template<class A, class T>
+template<typename charT>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator += (const charT* s)
+{
+ return *this += unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator -= (const charT* s)
+{
+ return *this -= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator *= (const charT* s)
+{
+ return *this *= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator /= (const charT* s)
+{
+ return *this /= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator %= (const charT* s)
+{
+ return *this %= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator |= (const charT* s)
+{
+ return *this |= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator &= (const charT* s)
+{
+ return *this &= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT>
+inline unbounded_uint<A,T>& unbounded_uint<A,T>::operator ^= (const charT* s)
+{
+ return *this ^= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T, typename charT>
+inline
+unbounded_uint<A,T> operator + (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv += unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT>
+inline
+unbounded_uint<A,T> operator - (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv -= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT>
+inline
+unbounded_uint<A,T> operator * (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv *= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT>
+inline
+unbounded_uint<A,T> operator / (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv /= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT>
+inline
+unbounded_uint<A,T> operator % (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv %= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT>
+inline
+unbounded_uint<A,T> operator | (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv |= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT>
+inline
+unbounded_uint<A,T> operator & (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv &= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT>
+inline
+unbounded_uint<A,T> operator ^ (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv ^= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+
+// Arithmetic and bitwise operators involving basic_string
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator += (const std::basic_string<charT,traits,Alloc>& s)
+{
+ return *this += unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator -= (const std::basic_string<charT,traits,Alloc>& s)
+{
+ return *this -= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator *= (const std::basic_string<charT,traits,Alloc>& s)
+{
+ return *this *= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator /= (const std::basic_string<charT,traits,Alloc>& s)
+{
+ return *this /= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator %= (const std::basic_string<charT,traits,Alloc>& s)
+{
+ return *this %= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator |= (const std::basic_string<charT,traits,Alloc>& s)
+{
+ return *this |= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator &= (const std::basic_string<charT,traits,Alloc>& s)
+{
+ return *this &= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T>
+template<typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>&
+unbounded_uint<A,T>::operator ^= (const std::basic_string<charT,traits,Alloc>& s)
+{
+ return *this ^= unbounded_uint<A,T>(s);
+}
+
+template<class A, class T, typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>
+operator + (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,traits,Alloc>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv += unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>
+operator - (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,traits,Alloc>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv -= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>
+operator * (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,traits,Alloc>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv *= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>
+operator / (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,traits,Alloc>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv /= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>
+operator % (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,traits,Alloc>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv %= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>
+operator | (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,traits,Alloc>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv |= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>
+operator & (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,traits,Alloc>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv &= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+template<class A, class T, typename charT, class traits, class Alloc>
+inline unbounded_uint<A,T>
+operator ^ (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,traits,Alloc>& rhs)
+{
+ unbounded_uint<A,T> nrv(lhs);
+ nrv ^= unbounded_uint<A,T>(rhs);
+ return nrv;
+}
+
+
+// compare unbounded_uint to unbounded_uint
+template<class A, class T>
+inline bool
+operator == (const unbounded_uint<A,T>& lhs, const unbounded_uint<A,T>& rhs)
+{
+ return (lhs.size() == rhs.size()) &&
+ std::equal(lhs.begin(), lhs.end(), rhs.begin());
+}
+
+template<class A, class T>
+inline bool
+operator != (const unbounded_uint<A,T>& lhs, const unbounded_uint<A,T>& rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class A, class T>
+bool
+operator < (const unbounded_uint<A,T>& lhs, const unbounded_uint<A,T>& rhs)
+{
+ if (lhs.size() < rhs.size())
+ return true;
+ if (lhs.size() > rhs.size())
+ return false;
+
+ // TODO ops_type::compare_magnitude vs lexicographical_compare
+ return std::lexicographical_compare(lhs.rbegin(), lhs.rend(),
+ rhs.rbegin(), rhs.rend());
+}
+
+template<class A, class T>
+inline bool
+operator > (const unbounded_uint<A,T>& lhs, const unbounded_uint<A,T>& rhs)
+{
+ return rhs < lhs;
+}
+
+template<class A, class T>
+inline bool
+operator <= (const unbounded_uint<A,T>& lhs, const unbounded_uint<A,T>& rhs)
+{
+ return !(rhs < lhs);
+}
+
+template<class A, class T>
+inline bool
+operator >= (const unbounded_uint<A,T>& lhs, const unbounded_uint<A,T>& rhs)
+{
+ return !(lhs < rhs);
+}
+
+// compare unbounded_uint to integral
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator == (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ return detail::unbounded_uint_integral_ops<
+ unbounded_uint<A,T>, IntegralT>::equal(lhs, rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator != (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator < (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ return detail::unbounded_uint_integral_ops<
+ unbounded_uint<A,T>, IntegralT>::less(lhs, rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator > (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ return rhs < lhs;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator <= (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ return (lhs < rhs) || (lhs == rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator >= (const unbounded_uint<A,T>& lhs, IntegralT rhs)
+{
+ return !(lhs < rhs);
+}
+
+// compare integral to unbounded_uint
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator == (IntegralT lhs, const unbounded_uint<A,T>& rhs)
+{
+ return rhs == lhs;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator != (IntegralT lhs, const unbounded_uint<A,T>& rhs)
+{
+ return !(lhs == rhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator < (IntegralT lhs, const unbounded_uint<A,T>& rhs)
+{
+ return !(rhs <= lhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator > (IntegralT lhs, const unbounded_uint<A,T>& rhs)
+{
+ return rhs < lhs;
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator <= (IntegralT lhs, const unbounded_uint<A,T>& rhs)
+{
+ return !(rhs < lhs);
+}
+
+template<class A, class T, typename IntegralT>
+inline
+typename enable_if<is_integral<IntegralT>, bool>::type
+operator >= (IntegralT lhs, const unbounded_uint<A,T>& rhs)
+{
+ return rhs <= lhs;
+}
+
+// compare unbounded_uint to const charT*
+template<class A, class T, typename charT>
+bool
+operator == (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ detail::from_string_converter<unbounded_uint<A,T> > conv;
+ conv.detect_properties(rhs, rhs + std::char_traits<charT>::length(rhs));
+
+ if (conv.total_length == 0)
+ {
+ if (lhs.is_uninitialized())
+ return true;
+ else
+ return false;
+ }
+
+ // if we see a minus sign and it is not "-0" then return false
+ if (!conv.is_positive && !(conv.length == 0 && conv.radix == 8))
+ return false;
+ // TODO that also means we skip scanning the string for invalid characters
+
+ unbounded_uint<A,T> tmp;
+ conv.convert(tmp, rhs, rhs + std::char_traits<charT>::length(rhs));
+
+ return lhs == tmp;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator != (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ return lhs != unbounded_uint<A,T>(rhs);
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator < (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ return lhs < unbounded_uint<A,T>(rhs);
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator > (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ return lhs > unbounded_uint<A,T>(rhs);
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator <= (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ return lhs <= unbounded_uint<A,T>(rhs);
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator >= (const unbounded_uint<A,T>& lhs, const charT* rhs)
+{
+ return lhs >= unbounded_uint<A,T>(rhs);
+}
+
+// comparison const charT* to unbounded_uint
+template<class A, class T, typename charT>
+inline bool
+operator == (const charT* lhs, const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) == rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator != (const charT* lhs, const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) != rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator < (const charT* lhs, const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) < rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator > (const charT* lhs, const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) > rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator <= (const charT* lhs, const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) <= rhs;
+}
+
+template<class A, class T, typename charT>
+inline bool
+operator >= (const charT* lhs, const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) >= rhs;
+}
+
+// compare unbounded_uint to basic_string
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator == (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs == unbounded_uint<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator != (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs != unbounded_uint<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator < (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs < unbounded_uint<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator > (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs > unbounded_uint<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator <= (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs <= unbounded_uint<A,T>(rhs);
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator >= (const unbounded_uint<A,T>& lhs,
+ const std::basic_string<charT,Traits,Alloc>& rhs)
+{
+ return lhs >= unbounded_uint<A,T>(rhs);
+}
+
+// compare basic_string to unbounded_uint
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator == (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) == rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator != (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) != rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator < (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) < rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator > (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) > rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator <= (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) <= rhs;
+}
+
+template<class A, class T, class charT, class Traits, class Alloc>
+inline bool
+operator >= (const std::basic_string<charT,Traits,Alloc>& lhs,
+ const unbounded_uint<A,T>& rhs)
+{
+ return unbounded_uint<A,T>(lhs) >= rhs;
+}
+
+// Input/Output
+template<class A, class T, typename charT, class traits>
+std::basic_istream<charT, traits>&
+operator >> (std::basic_istream<charT, traits>& is, unbounded_uint<A,T>& x)
+{
+ typename std::basic_istream<charT, traits>::sentry sentry(is);
+ if (!sentry)
+ return is;
+
+ // TODO we read into a string first which costs memory and std::string
+ // allocator is not under user control. We should convert incoming digits
+ // directly. Actually we should check what is the fastest way.
+ std::string s;
+
+ const std::istreambuf_iterator<charT, traits> end;
+ std::istreambuf_iterator<charT, traits> c(is);
+
+ // TODO we should stop if we see a minus sign
+ if (*c == '+' || *c == '-')
+ {
+ s.push_back(*c);
+ ++c;
+ }
+
+ int base;
+ if (*c == '0')
+ {
+ base = 8;
+ s.push_back(*c);
+ ++c;
+ if (*c == 'x' || *c == 'X')
+ {
+ base = 16;
+ s.push_back(*c);
+ ++c;
+ }
+ }
+ else if (*c >= '0' && *c <= '9')
+ base = 10;
+ else
+ {
+ is.setstate(std::ios_base::failbit);
+ return is;
+ }
+
+ switch (base)
+ {
+ case 8:
+ while (c != end)
+ {
+ if (*c >= '0' && *c <= '7')
+ s.push_back(*c);
+ else
+ break;
+ ++c;
+ }
+ break;
+ case 10:
+ while (c != end)
+ {
+ if (*c >= '0' && *c <= '9')
+ s.push_back(*c);
+ else
+ break;
+ ++c;
+ }
+ break;
+ case 16:
+ while (c != end)
+ {
+ if ((*c >= '0' && *c <= '9') ||
+ (*c >= 'A' && *c <= 'F') ||
+ (*c >= 'a' && *c <= 'f'))
+ s.push_back(*c);
+ else
+ break;
+ ++c;
+ }
+ break;
+ }
+
+ const unbounded_uint<A,T> tmp(s.begin(), s.end());
+ x = tmp;
+
+ return is;
+}
+
+template<class A, class T, typename charT, class traits>
+std::basic_ostream<charT, traits>&
+operator << (std::basic_ostream<charT, traits>& os, const unbounded_uint<A,T>& x)
+{
+ // TODO same as above, we should output digits directly to the stream
+ return os << x.template to_string<std::string>(os.flags());
+}
+
+
+template<class A, class T>
+inline
+unbounded_uint<A,T> abs(const unbounded_uint<A,T>& x)
+{
+ return x;
+}
+
+template<class A, class T>
+inline
+unbounded_uint<A,T> gcd(const unbounded_uint<A,T>& a,
+ const unbounded_uint<A,T>& b)
+{
+ unbounded_uint<A,T> z;
+ detail::gcd_finder<unbounded_uint<A,T> >::gcd(z, a, b);
+ return z;
+}
+
+#ifndef BOOST_NO_VARIADIC_TEMPLATES
+template<class A, class T, class... Integer>
+unbounded_uint<A,T> gcd(const unbounded_uint<A,T>& a,
+ const unbounded_uint<A,T>& b,
+ const Integer&... args)
+{
+ return gcd(gcd(a, b), args...);
+}
+#endif
+
+template<class A, class T>
+inline
+unbounded_uint<A,T> lcm(const unbounded_uint<A,T>& a,
+ const unbounded_uint<A,T>& b)
+{
+ unbounded_uint<A,T> z;
+ detail::lcm_finder<unbounded_uint<A,T> >::lcm(z, a, b);
+ return z;
+}
+
+#ifndef BOOST_NO_VARIADIC_TEMPLATES
+template<class A, class T, class... Integer>
+unbounded_uint<A,T> lcm(const unbounded_uint<A,T>& a,
+ const unbounded_uint<A,T>& b,
+ const Integer&... args)
+{
+ return lcm(lcm(a, b), args...);
+}
+#endif
+
+template<class A, class T>
+inline
+unbounded_uint<A,T>
+pow(const unbounded_uint<A,T>& x, typename unbounded_uint<A,T>::size_type y)
+{
+ unbounded_uint<A,T> z;
+ detail::power<unbounded_uint<A,T> >::pow(z, x, y);
+ return z;
+}
+
+template<class A, class T>
+inline
+unbounded_uint<A,T>
+pow(const unbounded_uint<A,T>& x, const unbounded_uint<A,T>& y)
+{
+ unbounded_uint<A,T> z;
+ detail::power<unbounded_uint<A,T> >::pow(z, x, y);
+ return z;
+}
+
+template<class A, class T>
+inline
+unbounded_uint<A,T> sqrt(const unbounded_uint<A,T>& x)
+{
+ unbounded_uint<A,T> z;
+ detail::root<unbounded_uint<A,T> >::sqrt(z, x);
+ return z;
+}
+
+template<class A, class T>
+inline
+unbounded_uint<A,T> nth_root(typename unbounded_uint<A,T>::size_type n,
+ const unbounded_uint<A,T>& x)
+{
+ unbounded_uint<A,T> z;
+ detail::root<unbounded_uint<A,T> >::nth_root(z, n, x);
+ return z;
+}
+
+template<class A, class T>
+inline
+unbounded_uint<A,T> nth_root(const unbounded_uint<A,T>& n,
+ const unbounded_uint<A,T>& x)
+{
+ unbounded_uint<A,T> z;
+ detail::root<unbounded_uint<A,T> >::nth_root(z, n, x);
+ return z;
+}
+
+template<class A, class T>
+inline
+int jacobi(const unbounded_uint<A,T>& x, const unbounded_uint<A,T>& y)
+{
+ return detail::jacobi(x, y);
+}
+
+
+} // namespace mp_math
+} // namespace boost
+
+#endif
+
Copied: sandbox/mp_math/boost/mp_math/integer_serialization.hpp (from r54148, /sandbox/mp_math/boost/mp_math/mp_int_serialization.hpp)
==============================================================================
--- /sandbox/mp_math/boost/mp_math/mp_int_serialization.hpp (original)
+++ sandbox/mp_math/boost/mp_math/integer_serialization.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,18 +1,51 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
+#ifndef BOOST_MP_MATH_INTEGER_SERIALIZATION_HPP
+#define BOOST_MP_MATH_INTEGER_SERIALIZATION_HPP
+
+#include <boost/mp_math/integer/integer_fwd.hpp>
+#include <boost/serialization/base_object.hpp>
#include <boost/serialization/split_free.hpp>
#include <boost/serialization/string.hpp>
+
namespace boost {
namespace serialization {
+
+template<class Archive, class A, class T>
+void save(Archive& ar,
+ const boost::mp_math::unbounded_int<A,T>& x,
+ const unsigned int /*version*/)
+{
+ const std::string s = x.template to_string<std::string>(std::ios_base::hex);
+ ar & s;
+}
+
+template<class Archive, class A, class T>
+void load(Archive& ar,
+ boost::mp_math::unbounded_int<A,T>& x,
+ const unsigned int /*version*/)
+{
+ std::string s;
+ ar & s;
+ x.template assign(s, std::ios_base::hex);
+}
+
+template<class Archive, class A, class T>
+inline void serialize(Archive& ar,
+ boost::mp_math::unbounded_int<A,T>& x,
+ const unsigned int version)
+{
+ split_free(ar, x, version);
+}
+
template<class Archive, class A, class T>
void save(Archive& ar,
- const boost::mp_math::mp_int<A,T>& x,
+ const boost::mp_math::unbounded_uint<A,T>& x,
const unsigned int /*version*/)
{
const std::string s = x.template to_string<std::string>(std::ios_base::hex);
@@ -21,7 +54,7 @@
template<class Archive, class A, class T>
void load(Archive& ar,
- boost::mp_math::mp_int<A,T>& x,
+ boost::mp_math::unbounded_uint<A,T>& x,
const unsigned int /*version*/)
{
std::string s;
@@ -31,12 +64,31 @@
template<class Archive, class A, class T>
inline void serialize(Archive& ar,
- boost::mp_math::mp_int<A,T>& x,
+ boost::mp_math::unbounded_uint<A,T>& x,
const unsigned int version)
{
- boost::serialization::split_free(ar, x, version);
+ split_free(ar, x, version);
}
+template<class Archive, bool S, class A, class T>
+inline void serialize(Archive & ar,
+ boost::mp_math::unbounded<S,A,T>& x,
+ const unsigned int /*version*/)
+{
+ ar & base_object<typename boost::mp_math::unbounded<S,A,T>::base_type>(x);
+}
+
+template<class Archive, class Type>
+inline void serialize(Archive & ar,
+ boost::mp_math::integer<Type>& x,
+ const unsigned int /*version*/)
+{
+ ar & base_object<Type>(x);
+}
+
+
} // namespace serialization
} // namespace boost
+#endif
+
Added: sandbox/mp_math/boost/mp_math/libtom.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/boost/mp_math/libtom.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,12 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_MP_MATH_LIBTOM_HPP
+#define BOOST_MP_MATH_LIBTOM_HPP
+
+#include <boost/mp_math/integer/libtom_integer.hpp>
+
+#endif
+
Deleted: sandbox/mp_math/boost/mp_math/mp_int.hpp
==============================================================================
--- sandbox/mp_math/boost/mp_math/mp_int.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,21 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#ifndef BOOST_MP_MATH_MP_INT_HPP
-#define BOOST_MP_MATH_MP_INT_HPP
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-#include <boost/mp_math/mp_int/mp_int.hpp>
-
-#include <boost/mp_math/mp_int/gcd.hpp>
-#include <boost/mp_math/mp_int/jacobi.hpp>
-#include <boost/mp_math/mp_int/lcm.hpp>
-#include <boost/mp_math/mp_int/modinv.hpp>
-#include <boost/mp_math/mp_int/modpow.hpp>
-#include <boost/mp_math/mp_int/numeric_limits.hpp>
-#include <boost/mp_math/mp_int/prime.hpp>
-#include <boost/mp_math/mp_int/root.hpp>
-
-#endif
Deleted: sandbox/mp_math/boost/mp_math/mp_int_serialization.hpp
==============================================================================
--- sandbox/mp_math/boost/mp_math/mp_int_serialization.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,42 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/mp_math/mp_int/mp_int_fwd.hpp>
-#include <boost/serialization/split_free.hpp>
-#include <boost/serialization/string.hpp>
-
-namespace boost {
-namespace serialization {
-
-template<class Archive, class A, class T>
-void save(Archive& ar,
- const boost::mp_math::mp_int<A,T>& x,
- const unsigned int /*version*/)
-{
- const std::string s = x.template to_string<std::string>(std::ios_base::hex);
- ar & s;
-}
-
-template<class Archive, class A, class T>
-void load(Archive& ar,
- boost::mp_math::mp_int<A,T>& x,
- const unsigned int /*version*/)
-{
- std::string s;
- ar & s;
- x.template assign(s, std::ios_base::hex);
-}
-
-template<class Archive, class A, class T>
-inline void serialize(Archive& ar,
- boost::mp_math::mp_int<A,T>& x,
- const unsigned int version)
-{
- boost::serialization::split_free(ar, x, version);
-}
-
-} // namespace serialization
-} // namespace boost
-
Added: sandbox/mp_math/libs/mp_math/examples/answer.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/examples/answer.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,46 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/mp_math/integer.hpp>
+
+typedef boost::mp_math::integer<> int_type;
+
+
+int main(int, char**)
+{
+ int_type x(2), y(0x257);
+
+ x = pow(x, 101);
+
+ x = modpow(x, y, int_type(257));
+
+ while (y > 2)
+ {
+ x *= y;
+ --y;
+ }
+
+ x = y + y + y * x % (int_type(12));
+
+ for (int i = 0; i < 15; ++i)
+ {
+ x -= x * y;
+ y += 15;
+ x += i;
+ };
+
+ x *= -1;
+
+ x = sqrt(x);
+
+ // now x should be 0x66d74da264f9
+ std::cout << std::hex << std::showbase << "The answer is " << x << "." << std::endl;
+
+
+ return 0;
+}
+
+
+
Added: sandbox/mp_math/libs/mp_math/examples/drops_in_the_ocean.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/examples/drops_in_the_ocean.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,63 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+// calculate the number of water drops in earth's oceans
+
+#include <boost/timer.hpp>
+#include <boost/mp_math/integer.hpp>
+#include <boost/mp_math/integer/gmp_integer.hpp>
+
+typedef boost::mp_math::integer<> int_type;
+
+
+int main(int, char**)
+{
+ // assume that the oceans have a volume of 1.3 billion km^3
+ // assume that one drop has a volume of 0.05 ml
+ const unsigned long ocean_vol = 1300000000UL;
+ const unsigned long drops_per_ml = 20;
+
+ // there are 1000 ml in 1 liter and 1 liter = 1 dm^3
+
+ int_type num_drops = 1; // start with one drop
+
+ num_drops *= drops_per_ml; // now we have the number of drops per ml
+ num_drops *= 1000; // now we have the number of drops per liter
+ num_drops *= 1000; // 1 m^3 = 1000 dm^ 3
+ num_drops *= 1000000000UL; // 1 km^3 = 1000000000 m^3
+ num_drops *= ocean_vol;
+
+ std::cout << "Earth's oceans consist of " << num_drops << " water drops!"
+ << std::endl;
+
+
+ int_type counter = num_drops;
+
+ boost::timer t;
+ while (t.elapsed() < 2.0)
+ --counter;
+
+ //counter /= 2; // FIXME!! this makes a larger number out of counter
+ //c1 = 25999999999999999995604718
+ //c2 = 26000000005912711854358254
+
+ const int_type difference = (num_drops - counter) / 2;
+ int_type years = num_drops / difference;
+
+ years /= 60;
+ years /= 60;
+ years /= 24;
+ years /= 365;
+
+ std::cout << "This computer can count about " << difference << " water drops "
+ << "per second.\n"
+ << "Counting all water drops would take about " << years
+ << " years on this computer." << std::endl;
+
+ return 0;
+}
+
+
+
Added: sandbox/mp_math/libs/mp_math/examples/gmp.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/examples/gmp.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,24 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/mp_math/integer.hpp>
+#include <boost/mp_math/gmp.hpp>
+
+typedef boost::mp_math::integer<boost::mp_math::gmp_integer<> > int_type;
+
+int main(int, char**)
+{
+ int_type x, y;
+
+ x = 0x1223;
+ y = "0x2984389248923984ababab";
+
+ const int_type z = pow(y, x);
+
+ std::cout << z << std::endl;
+
+ return 0;
+}
+
Added: sandbox/mp_math/libs/mp_math/examples/jamfile.v2
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/examples/jamfile.v2 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,40 @@
+# Copyright Kevin Sopp 2009.
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt)
+
+project
+ :
+ requirements
+ <include>../../../..
+ <include>.
+ <link>static
+ ;
+
+
+exe drops_in_the_ocean
+ :
+ drops_in_the_ocean.cpp
+ :
+ <variant>release
+ ;
+
+exe answer
+ :
+ answer.cpp
+ :
+ <variant>release
+ ;
+
+
+lib gmp_library : : <name>gmp ;
+
+exe gmp
+ :
+ gmp.cpp
+ gmp_library
+ :
+ <variant>release
+ ;
+
+
Modified: sandbox/mp_math/libs/mp_math/index.html
==============================================================================
--- sandbox/mp_math/libs/mp_math/index.html (original)
+++ sandbox/mp_math/libs/mp_math/index.html 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -5,7 +5,7 @@
<head>
<title>Boost.Mp_math Documentation</title>
<meta http-equiv="Content-Type" content="text/html; charset=us-ascii" />
- <meta http-equiv="refresh" content="0; URL=doc/index.html" />
+ <meta http-equiv="refresh" content="0; URL=doc/html/index.html" />
</head>
<body>
Deleted: sandbox/mp_math/libs/mp_math/test/add.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/add.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,217 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers1, mp_int_type, mp_int_types)
-{
- mp_int_type x("123456");
- mp_int_type y("987777");
- mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "1111233");
- x = 999U;
- y = 123456U;
- z = x + y;
- BOOST_CHECK_EQUAL(z, "124455");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("21474836470");
- const mp_int_type y("1234567845600");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "1256042682070");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0xffffffffffffffff");
- const mp_int_type y("0xffffffffffffffff");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "0x1fffffffffffffffe");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0xffffffffffffffff");
- const mp_int_type y("0xffffffff");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "0x100000000fffffffe");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_negative_numbers, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-123456");
- const mp_int_type y("-987777");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "-1111233");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-123456");
- const mp_int_type y("987777");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "864321");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("123456");
- const mp_int_type y("-987777");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "-864321");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-123456");
- const mp_int_type y("123456");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("123456");
- const mp_int_type y("-123456");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1000");
- const mp_int_type y("-12345678901000");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "-12345678900000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers6, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-12345678901000");
- const mp_int_type y("1000");
- const mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "-12345678900000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_large_and_small, mp_int_type, mp_int_types)
-{
- mp_int_type x("123456789");
- mp_int_type y("123");
- mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "123456912");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_small_and_large, mp_int_type, mp_int_types)
-{
- mp_int_type x("123");
- mp_int_type y("123456789");
- mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z, "123456912");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_large_and_large, mp_int_type, mp_int_types)
-{
- mp_int_type x(
- "76563204409879018101322737668344063995824904757312285775560614771886933079"
- "77822556905976720912850551355328340715074887289899094852653102687850101285"
- "85715275531977696497398396067715769512450915961775500023723324150851793075"
- "51871751151095323159497918186624088118225730504044262785072662119470825604"
- "40835072257208973943520251201155002832786969323087571220195329601804141972"
- "71293425859967733061169954398382700046379970842289727254846347411792122453"
- "98890529530611217475343335863666953662801553948341581412563112340543629531"
- "01094529771464590172847457807673685591148055046712881378811934516545088775"
- "38198087116656466935095055228728162461388333618793883566996616940381738437"
- "03453867953392241443573580380271627517797446062394044787118140775664622031"
- "49144609407766890328547643707523663509662747376486271392344480900673178645"
- "33198519112197059826509662943577383543858946941049753393431035706592040680"
- "43848484065292542884106550381079282660840705126574766636237650938379223350"
- "073087806800887586256085275775217219429527000017403144");
-
- mp_int_type y(
- "29156720459736055974643337783563754269574952607968485689453462316428566668"
- "95504701770860331979649536167161534866285341319360225416010322271645564229"
- "97610536562445338176729838019564690253931232562709745122032537539983616770"
- "01864876491464203683664927984801289460556480278145114367860332493722569194"
- "34026051618152579992400234314328079213866348120156368725488604236521299603"
- "05243915357553896356662519397274629471920043679673543282319268893065423613"
- "03777840501083119668898860689222271939900089123195611475211708096094521743"
- "23436842195705603262202927396682954198215622617086455718070601797199587530"
- "86110222151397352239086193648500251298495752840008363650931395221675337916"
- "21665907282124706187656074325458499695895652068822763794228458103499408841"
- "68233732651102406546734395563663969020820490032431359396293047454261598159"
- "68165818673838448637209074584819780088546111644065538550490486693301185614"
- "61602638472505490238203390055056474763248195271964604045005807592301719483"
- "66411676459481184297663915491569500245585996483678005964410842919747216111"
- "69086269285356198998091850661544255466466926579668887000118948737207396398"
- "39189399212362197497646493143022100680619252808094160907526003969639965485"
- "31238493375062268758735445211914107215235958346264702774326161208396163240"
- "36339482493382189215697343908873498104516190541170342091008828518924813674"
- "46253090923280613514725437269574928515018666111820866090440006060807129643"
- "38626199608899966829344884873038261232122027815715568990196536130996880104"
- "97887027262726591236620461428328000537452828616386217063092509908555188454"
- "27278763741671312528892659532960085933913140197210561287118971031419725940"
- "702202830556069344716729071140147820999566475298895832");
- mp_int_type z = x + y;
- BOOST_CHECK_EQUAL(z,
- "29156720459736055974643337783563754269574952607968485689453462316428566668"
- "95504701770860331979649536167161534866285341319360225416010322271645564229"
- "97610536562445338176729838019564690253931232562709745122032537539983616770"
- "01864876491464203683664927984801289460556480278145114367860332493722569194"
- "34026051618152579992400234314328079213866348120156368725488604236521299603"
- "05243915357553896356662519397274629471920043679673543282319268893065423613"
- "03777840501083119668898860689222271939900089123195611475211708096094521743"
- "23436842195705603262202927396682954198215622617086455718070601797199587530"
- "86110222151397352239086193648500251298495752840008363650931395221675337916"
- "98229111692003724288978811993802563691720556826135049569789072875386341921"
- "46056289557079127459584946918992309735895377322330454248946150142111699445"
- "53881094205816145134607470652535549600997027605841038574213810844152978690"
- "13474389623600813397701308241680562881473925776008866830078469711772545088"
- "07246748716690158241184166692724503078372965806765577184606172521551358084"
- "40379695145323932059261805059926955512846897421958614254965296148999518852"
- "38079928742973414972989829006689054343420806756435742320089116310183595016"
- "32333023146526858931582903019587792806384013392977584153138095724941252015"
- "74537569610038656150792399137601660565904524159964225658005445459306552111"
- "49706958876672854958299017649846556032816112174214910877558146836471751674"
- "87770809016666857157892528580561924741784775192201840382541017031670058750"
- "31085546374923651063130124371905384081311775557435970456523545615147229134"
- "71127247806963855412999209914039368594753845323785327923356621969798949290"
- "775290637356956930972814346915365040429093475316298976");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(increment1, mp_int_type, mp_int_types)
-{
- mp_int_type x("0");
- for (int i = 0; i < 10; ++i)
- ++x;
- BOOST_CHECK_EQUAL(x, "10");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(increment2, mp_int_type, mp_int_types)
-{
- mp_int_type x("-4");
- for (int i = 0; i < 10; ++i)
- ++x;
- BOOST_CHECK_EQUAL(x, "6");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(increment3, mp_int_type, mp_int_types)
-{
- mp_int_type x("-130");
- for (int i = 0; i < 10; ++i)
- ++x;
- BOOST_CHECK_EQUAL(x, "-120");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(increment4, mp_int_type, mp_int_types)
-{
- mp_int_type x("120");
- for (int i = 0; i < 10; ++i)
- ++x;
- BOOST_CHECK_EQUAL(x, "130");
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/bitmanipulation.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/bitmanipulation.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,118 +0,0 @@
-// Copyright Kevin Sopp 2009.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits1, mp_int_type, mp_int_types)
-{
- mp_int_type x("0xff00000000ff");
- x.set_bits(8, 40);
- BOOST_CHECK_EQUAL(x, "0xffffffffffff");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits2, mp_int_type, mp_int_types)
-{
- mp_int_type x("0x8000");
- x.set_bits(2, 7);
- BOOST_CHECK_EQUAL(x, "0x807c");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits3, mp_int_type, mp_int_types)
-{
- mp_int_type x("0x80000000000000");
- x.set_bits(12, 13);
- BOOST_CHECK_EQUAL(x, "0x80000000001000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits4, mp_int_type, mp_int_types)
-{
- mp_int_type x("0x8000000000000000");
- x.set_bits(0, 18);
- BOOST_CHECK_EQUAL(x, "0x800000000003FFFF");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits5, mp_int_type, mp_int_types)
-{
- mp_int_type x("0x80000000");
- x.set_bits(8, 16);
- BOOST_CHECK_EQUAL(x, "0x8000FF00");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits1, mp_int_type, mp_int_types)
-{
- mp_int_type x("0xffffffffffff");
- x.clear_bits(8, 40);
- BOOST_CHECK_EQUAL(x, "0xff00000000ff");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits2, mp_int_type, mp_int_types)
-{
- mp_int_type x("0x807c");
- x.clear_bits(2, 7);
- BOOST_CHECK_EQUAL(x, "0x8000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits3, mp_int_type, mp_int_types)
-{
- mp_int_type x("0x80000000001000");
- x.clear_bits(12, 13);
- BOOST_CHECK_EQUAL(x, "0x80000000000000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits4, mp_int_type, mp_int_types)
-{
- mp_int_type x("0x800000000003FFFF");
- x.clear_bits(0, 18);
- BOOST_CHECK_EQUAL(x, "0x8000000000000000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits5, mp_int_type, mp_int_types)
-{
- mp_int_type x("0x8000FF00");
- x.clear_bits(8, 16);
- BOOST_CHECK_EQUAL(x, "0x80000000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate1, mp_int_type, mp_int_types)
-{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
- x.truncate(32);
- x.clamp();
- BOOST_CHECK_EQUAL(x, "0xFFFFFFFF");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate2, mp_int_type, mp_int_types)
-{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
- x.truncate(0);
- x.clamp();
- BOOST_CHECK_EQUAL(x, "");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate3, mp_int_type, mp_int_types)
-{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
- x.truncate(1);
- x.clamp();
- BOOST_CHECK_EQUAL(x, "1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate4, mp_int_type, mp_int_types)
-{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
- x.truncate(31);
- x.clamp();
- BOOST_CHECK_EQUAL(x, "0x7FFFFFFF");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate5, mp_int_type, mp_int_types)
-{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFF");
- x.truncate(80);
- x.clamp();
- BOOST_CHECK_EQUAL(x, "0xFFFFFFFFFFFFFFFFFFFF");
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/bitwise_ops.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/bitwise_ops.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,56 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(and_op1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x00ff0000000f");
- const mp_int_type y("0xffffffffffff");
- const mp_int_type z = x & y;
- BOOST_CHECK_EQUAL(z, x);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(and_op2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x00ff0000000ffffffffff");
- const mp_int_type y( "0xffffffffffff");
- const mp_int_type z = x & y;
- BOOST_CHECK_EQUAL(z, "0xffffffffff");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(or_op1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x00ff0000000f");
- const mp_int_type y("0xffffffffffff");
- const mp_int_type z = x | y;
- BOOST_CHECK_EQUAL(z, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(or_op2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x00ff0000000ffffffffff");
- const mp_int_type y( "0xaaffffffffff");
- const mp_int_type z = x | y;
- BOOST_CHECK_EQUAL(z, "0x00ff00000aaffffffffff");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x00ff0000000f");
- const mp_int_type y("0xffffffffffff");
- const mp_int_type z = x ^ y;
- BOOST_CHECK_EQUAL(z, "0xff00fffffff0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x00ff0000000ffffffffff");
- const mp_int_type y( "0x33aaffffffff");
- const mp_int_type z = x ^ y;
- BOOST_CHECK_EQUAL(z,"0x00ff00000335500000000");
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/bool_conversion.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/bool_conversion.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,40 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(bool1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1");
- const mp_int_type y("0");
- BOOST_CHECK_EQUAL(x, true);
- BOOST_CHECK_EQUAL(y, false);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(bool_or, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1");
- const mp_int_type y("0");
- const bool z = x || y;
- BOOST_CHECK_EQUAL(z, true);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(bool_and1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1");
- const mp_int_type y("0");
- const bool z = x && y;
- BOOST_CHECK_EQUAL(z, false);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(bool_and2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1");
- const mp_int_type y("1");
- const bool z = x && y;
- BOOST_CHECK_EQUAL(z, true);
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/cmp.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/cmp.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,171 +0,0 @@
-// Copyright Kevin Sopp 2008 - 2009.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_eq1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-1");
- const mp_int_type y("-1");
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("12");
- const mp_int_type y("13");
- BOOST_CHECK_LT(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1");
- const mp_int_type y("123456789");
- BOOST_CHECK_LT(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-1");
- const mp_int_type y("0");
- BOOST_CHECK_LT(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-123");
- const mp_int_type y("-10");
- BOOST_CHECK_LT(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-123456789");
- const mp_int_type y("123456798");
- BOOST_CHECK_LT(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const mp_int_type y("0");
- BOOST_CHECK_LE(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-1");
- const mp_int_type y("0");
- BOOST_CHECK_LE(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-123456789");
- const mp_int_type y("-123456789");
- BOOST_CHECK_LE(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("11");
- const mp_int_type y("49941");
- BOOST_CHECK_LE(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- BOOST_CHECK_EQUAL(x, 0);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("20");
- BOOST_CHECK_EQUAL(x, 20U);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("300");
- BOOST_CHECK_EQUAL(x, 300);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-1");
- BOOST_CHECK_EQUAL(x, -1);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-32101");
- BOOST_CHECK_EQUAL(x, -32101);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_integral_type1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("123456789");
- BOOST_CHECK_LT(x, 123456790);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_integral_type2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x100000000");
- BOOST_CHECK_LE(1, x);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_integral_type3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-0x100000000");
- BOOST_CHECK_LT(x, -1);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_integral_type4, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<int>::min());
- x -= 1;
- BOOST_CHECK_LT(x, std::numeric_limits<int>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_unsigned_integral_type, mp_int_type, mp_int_types)
-{
- const mp_int_type x("123456789");
- BOOST_CHECK_LT(x, 123456790U);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_le_integral_type1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- BOOST_CHECK_LE(x, 123456789);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_le_integral_type2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("32101");
- BOOST_CHECK_LE(x, 32102);
-}
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_le_unsigned_integral_type, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- BOOST_CHECK_LE(x, 32101U);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_integral_type_lt_mp_int, mp_int_type, mp_int_types)
-{
- const mp_int_type x("32101");
- BOOST_CHECK_LT(32100, x);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_integral_type_le_mp_int, mp_int_type, mp_int_types)
-{
- const mp_int_type x("32101");
- BOOST_CHECK_LE(x, 32102);
-}
-
-
Deleted: sandbox/mp_math/libs/mp_math/test/compile_all.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/compile_all.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,96 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-// Compile all functions in the presence of the cmath header
-
-#include <cmath>
-#include <boost/mp_math/mp_int.hpp>
-
-
-// first explicitly instantiate the class template
-template class boost::mp_math::mp_int<>;
-
-
-
-// a different allocator type used in conjunction with the basic_string class
-// template
-template<typename T>
-struct my_alloc : std::allocator<T>
-{
- template<typename U> struct rebind { typedef my_alloc<U> other; };
-};
-
-typedef std::basic_string<
- char, std::char_traits<char>, my_alloc<char> > my_string;
-
-
-
-template<class MpInt>
-MpInt compile_constructors()
-{
- const std::string a("0x123456789abcdefABCDEF");
- const std::wstring b(L"012345676543210");
- const my_string c("0xabcdefabcdef0001");
-
- // constructors from string
- MpInt u("0x123456789abcdef");
- MpInt v(L"0x123456789abcdef");
- MpInt w(a);
- MpInt x(a.begin(), a.end());
- MpInt y(b);
- MpInt z(c);
-
- const signed char sc = -100;
- const unsigned char uc = 200;
- const int i = -12000;
- const unsigned int ui = 22000;
-
- // constructors from integral type
- MpInt m(sc);
- MpInt n(uc);
- MpInt o(i);
- MpInt p(ui);
-
- // copy constructor
- MpInt copy(z);
-
- return u + v + w + x + y + z + copy + m + n + o + p;
-}
-
-template<class MpInt>
-MpInt compile_assignment_ops()
-{
- MpInt a = "0xfffffffffffffffffff";
- MpInt b = "0xabcd";
- MpInt c = 1000;
- MpInt d = "07777777777777777777000001";
-
- a = b;
- b = d;
-
- const my_string s("0xa123b566c78e9aafdf");
- c = s;
-
- d.assign("-12345678901234", std::ios_base::dec);
-
- return a + b + c + d;
-}
-
-
-int main(int, char**)
-{
-
- typedef boost::mp_math::mp_int<> mp_int_type;
-
- mp_int_type a("0");
-
- a += compile_constructors<mp_int_type>();
- a += compile_assignment_ops<mp_int_type>();
- a = boost::mp_math::pow(a, 3);
- a = boost::mp_math::abs(a);
-
- return 0;
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/ctors.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/ctors.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,188 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(default_ctor, mp_int_type, mp_int_types)
-{
- const mp_int_type a;
- BOOST_CHECK_EQUAL(a.size(), 0U);
- BOOST_CHECK_EQUAL(a.is_positive(), true);
- BOOST_CHECK_EQUAL(a.is_negative(), false);
- BOOST_CHECK_EQUAL(a, "");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string1, mp_int_type, mp_int_types)
-{
- const mp_int_type y("12");
- BOOST_CHECK_EQUAL(y, "12");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("123456789");
- BOOST_CHECK_EQUAL(x, "123456789");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1000000000");
- BOOST_CHECK_EQUAL(x, "1000000000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string4, mp_int_type, mp_int_types)
-{
- const mp_int_type y("0");
- BOOST_CHECK_EQUAL(!y, true);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_positive_decimal_string1, mp_int_type, mp_int_types)
-{
- const mp_int_type z("+1");
- BOOST_CHECK_EQUAL(z, "1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_negative_decimal_string1, mp_int_type, mp_int_types)
-{
- const mp_int_type z("-1");
- BOOST_CHECK_EQUAL(z, "-1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_negative_decimal_string2, mp_int_type, mp_int_types)
-{
- const mp_int_type z("-888888");
- BOOST_CHECK_EQUAL(z, "-888888");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string1, mp_int_type, mp_int_types)
-{
- const mp_int_type y("012");
- BOOST_CHECK_EQUAL(y, "10");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string2, mp_int_type, mp_int_types)
-{
- const mp_int_type y("000000000000000000000000000000000");
- BOOST_CHECK_EQUAL(!y, true);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0123456777");
- BOOST_CHECK_EQUAL(x, "21913087");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string4, mp_int_type, mp_int_types)
-{
- const mp_int_type z("-0777777");
- BOOST_CHECK_EQUAL(z, "-262143");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string1, mp_int_type, mp_int_types)
-{
- const mp_int_type y("0xF");
- BOOST_CHECK_EQUAL(y, "15");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string2, mp_int_type, mp_int_types)
-{
- const mp_int_type y("0xa0");
- BOOST_CHECK_EQUAL(y, "160");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x123456789abcdef");
- BOOST_CHECK_EQUAL(x, "0x123456789abcdef");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-0x8F888b");
- BOOST_CHECK_EQUAL(x, "-0x8F888b");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0xA0000000");
- BOOST_CHECK_EQUAL(x, "2684354560");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_long_string, mp_int_type, mp_int_types)
-{
- const mp_int_type x("87500402519005030061267904448809305029512439942506161234260852587645856336946409871074842737283625535525153833045575858681216");
- BOOST_CHECK_EQUAL(x, "87500402519005030061267904448809305029512439942506161234260852587645856336946409871074842737283625535525153833045575858681216");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_iterators1, mp_int_type, mp_int_types)
-{
- const std::string s("123456789");
- const mp_int_type z(s.begin(), s.end());
- BOOST_CHECK_EQUAL(z, "123456789");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_unsigned_integral_type1, mp_int_type, mp_int_types)
-{
- const mp_int_type x(9999999U);
- BOOST_CHECK_EQUAL(x, "9999999");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_unsigned_integral_type2, mp_int_type, mp_int_types)
-{
- const mp_int_type x(123456U);
- BOOST_CHECK_EQUAL(x, "123456");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_signed_char, mp_int_type, mp_int_types)
-{
- signed char c = -14;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "-14");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_unsigned_char, mp_int_type, mp_int_types)
-{
- unsigned char c = 42;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "42");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_short_int, mp_int_type, mp_int_types)
-{
- short int c = -14789;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "-14789");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_int, mp_int_type, mp_int_types)
-{
- int c = -9999;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "-9999");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_long_int, mp_int_type, mp_int_types)
-{
- const long int c = -100000000;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "-100000000");
-}
-
-#ifndef BOOST_NO_CWCHAR
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_wchar_t, mp_int_type, mp_int_types)
-{
- const mp_int_type x(L"0xA0000000");
- BOOST_CHECK_EQUAL(x, "2684354560");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_wstring, mp_int_type, mp_int_types)
-{
- const std::wstring s(L"0xA0000000");
- const mp_int_type x(s);
- BOOST_CHECK_EQUAL(x, "2684354560");
-}
-#endif
Deleted: sandbox/mp_math/libs/mp_math/test/div.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/div.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,112 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type y("123456");
- const mp_int_type z = x / y;
- BOOST_CHECK_EQUAL(z, "8");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type y("-123456");
- const mp_int_type z = x / y;
- BOOST_CHECK_EQUAL(z, "-8");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("263825472");
- const mp_int_type y("123456");
- const mp_int_type z = x / y;
- BOOST_CHECK_EQUAL(z, "2137");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x89ab89745cc653de58eecc8f8a874120065ea545f6f5f");
- const mp_int_type y("0x1889ba8a789456adfc8005b1");
- const mp_int_type z = x / y;
- BOOST_CHECK_EQUAL(z, "0x59c48aa7a1446110b31f70");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x1889ba8a789456adfc8005b1");
- const mp_int_type y("0x1889ba8a789456adfc8005b2");
- const mp_int_type z = x / y;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_2, mp_int_type, mp_int_types)
-{
- mp_int_type x("263825472");
- x.divide_by_2();
- BOOST_CHECK_EQUAL(x, "131912736");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(shift_right1, mp_int_type, mp_int_types)
-{
- mp_int_type x("263825472");
- x >>= 3;
- BOOST_CHECK_EQUAL(x, "32978184");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type y("123456");
- const mp_int_type z = x % y;
- BOOST_CHECK_EQUAL(z, "129");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-987777");
- const mp_int_type y("123456");
- const mp_int_type z = x % y;
- BOOST_CHECK_EQUAL(z, "-129");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type y("-123456");
- const mp_int_type z = x % y;
- BOOST_CHECK_EQUAL(z, "129");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-987777");
- const mp_int_type y("-123456");
- const mp_int_type z = x % y;
- BOOST_CHECK_EQUAL(z, "-129");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-123456");
- const mp_int_type y("123456");
- const mp_int_type z = x % y;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod6, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const mp_int_type y("5");
- const mp_int_type z = x % y;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-
-
Deleted: sandbox/mp_math/libs/mp_math/test/gcd.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/gcd.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,62 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(gcd1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("10");
- const mp_int_type y("2");
- const mp_int_type z = boost::mp_math::gcd(x,y);
- BOOST_CHECK_EQUAL(z, "2");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(gcd2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("456489798");
- const mp_int_type y("987");
- const mp_int_type z = boost::mp_math::gcd(x,y);
- BOOST_CHECK_EQUAL(z, "3");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(gcd3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-16384");
- const mp_int_type y("16384");
- const mp_int_type z = boost::mp_math::gcd(x,y);
- BOOST_CHECK_EQUAL(z, "16384");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(gcd4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const mp_int_type y("0");
- const mp_int_type z = boost::mp_math::gcd(x,y);
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-#ifdef BOOST_HAS_VARIADIC_TMPL
-BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_gcd1, mp_int_type, mp_int_types)
-{
- const mp_int_type a("42");
- const mp_int_type b("56");
- const mp_int_type c("140");
- const mp_int_type z = boost::mp_math::gcd(a,b,c);
- BOOST_CHECK_EQUAL(z, "14");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_gcd2, mp_int_type, mp_int_types)
-{
- const mp_int_type a("1200000000");
- const mp_int_type b("2400000000");
- const mp_int_type c("3600000000");
- const mp_int_type d("600000000000000");
- const mp_int_type z = boost::mp_math::gcd(a,b,c,d);
- BOOST_CHECK_EQUAL(z, "1200000000");
-}
-#endif
-
Deleted: sandbox/mp_math/libs/mp_math/test/integral_ops.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/integral_ops.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,292 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(construct_from_zero, mp_int_type, mp_int_types)
-{
- const mp_int_type x(0);
- BOOST_CHECK_EQUAL(!x, true);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_signed_char_min, mp_int_type, mp_int_types)
-{
- const signed char x = std::numeric_limits<signed char>::min();
- const mp_int_type y(x);
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_signed_char_max, mp_int_type, mp_int_types)
-{
- const signed char x = std::numeric_limits<signed char>::max();
- const mp_int_type y(x);
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_char_min, mp_int_type, mp_int_types)
-{
- const unsigned char x = std::numeric_limits<unsigned char>::min();
- const mp_int_type y(x);
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_char_max, mp_int_type, mp_int_types)
-{
- const unsigned char x = std::numeric_limits<unsigned char>::max();
- const mp_int_type y(x);
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_int_min, mp_int_type, mp_int_types)
-{
- const int x = std::numeric_limits<int>::min();
- const mp_int_type y(x);
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_int_max, mp_int_type, mp_int_types)
-{
- const int x = std::numeric_limits<int>::max();
- const mp_int_type y(x);
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_int_min, mp_int_type, mp_int_types)
-{
- const unsigned int x = std::numeric_limits<unsigned int>::min();
- const mp_int_type y(x);
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_int_max, mp_int_type, mp_int_types)
-{
- const unsigned int x = std::numeric_limits<unsigned int>::max();
- const mp_int_type y(x);
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type z = x + 1;
- BOOST_CHECK_EQUAL(z, "987778");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type z = x + (-1);
- BOOST_CHECK_EQUAL(z, "987776");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-1");
- const mp_int_type z = x + 5;
- BOOST_CHECK_EQUAL(z, "4");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_unsigned_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("9999999");
- const mp_int_type z = x + 1U;
- BOOST_CHECK_EQUAL(z, "10000000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_char_min, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const mp_int_type z = x + std::numeric_limits<signed char>::min();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<signed char>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_char_max, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const mp_int_type z = x + std::numeric_limits<signed char>::max();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<signed char>::max());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_int_min, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const mp_int_type z = x + std::numeric_limits<int>::min();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_int_max, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const mp_int_type z = x + std::numeric_limits<int>::max();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::max());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type z = x - 12345;
- BOOST_CHECK_EQUAL(z, "975432");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("98000");
- const mp_int_type z = x - (-1);
- BOOST_CHECK_EQUAL(z, "98001");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("125642682070");
- const long y = 2147483647;
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "123495198423");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1");
- const mp_int_type z = x - 2;
- BOOST_CHECK_EQUAL(z, "-1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_unsigned_char1, mp_int_type, mp_int_types)
-{
- const unsigned char y = 14;
- const mp_int_type x("987777");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "987763");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_signed_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type z = x * 12345;
- BOOST_CHECK_EQUAL(z, "12194107065");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_signed_integral2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type z = x * -12345;
- BOOST_CHECK_EQUAL(z, "-12194107065");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_signed_integral3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-987777");
- const mp_int_type z = x * -12345;
- BOOST_CHECK_EQUAL(z, "12194107065");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_unsigned_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1256");
- const mp_int_type z = x * 100U;
- mp_int_type w("125600");
- BOOST_CHECK_EQUAL(z, "125600");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_zero1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-9877234234252377");
- const mp_int_type z = x * 0;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_negative_zero1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-9877234234252377");
- const mp_int_type z = x * -0;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_unsigned_char1, mp_int_type, mp_int_types)
-{
- const unsigned char y = 16;
- const mp_int_type x("10000001");
- const mp_int_type z = x / y;
- BOOST_CHECK_EQUAL(z, "625000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_unsigned_char2, mp_int_type, mp_int_types)
-{
- const unsigned char y = 128;
- const mp_int_type x("14222200");
- const mp_int_type z = x / y;
- BOOST_CHECK_EQUAL(z, "111110");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_signed_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("786432");
- const mp_int_type z = x / 12;
- BOOST_CHECK_EQUAL(z, "65536");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("786432");
- const mp_int_type z = x % 12;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-987777");
- const mp_int_type z = x % 123456;
- BOOST_CHECK_EQUAL(z, "-129");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987777");
- const mp_int_type z = x % -123456;
- BOOST_CHECK_EQUAL(z, "129");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-987777");
- const mp_int_type z = x % -123456;
- BOOST_CHECK_EQUAL(z, "-129");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_unsigned_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987771");
- const mp_int_type z = x % 16U;
- BOOST_CHECK_EQUAL(z, "11");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_unsigned_integral2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-987771");
- const mp_int_type z = x % 16U;
- BOOST_CHECK_EQUAL(z, "-11");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_signed_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("786432");
- const mp_int_type z = x | 1;
- BOOST_CHECK_EQUAL(z, "786433");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_signed_integral2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("786432");
- const mp_int_type z = x | -1;
- BOOST_CHECK_EQUAL(z, "786433");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_unsigned_integral1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("786432");
- const mp_int_type z = x | 1U;
- BOOST_CHECK_EQUAL(z, "786433");
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/jacobi.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/jacobi.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,32 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1236");
- const mp_int_type y("20003");
- const int z = boost::mp_math::jacobi(x,y);
- BOOST_CHECK_EQUAL(z, 1);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("987897");
- const mp_int_type y("987");
- const int z = boost::mp_math::jacobi(x,y);
- BOOST_CHECK_EQUAL(z, 0);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("610");
- const mp_int_type y("987");
- const int z = boost::mp_math::jacobi(x,y);
- BOOST_CHECK_EQUAL(z, -1);
-}
Added: sandbox/mp_math/libs/mp_math/test/jamfile.v2
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/jamfile.v2 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,14 @@
+# Copyright Kevin Sopp 2008 - 2009.
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt)
+
+project
+ : requirements
+ <include>../../..
+ <link>static
+ <define>BOOST_TEST_DYN_LINK
+ <define>BOOST_TEST_MAIN
+ <define>BOOST_MP_MATH_MP_INT_USE_ASM
+ ;
+
Deleted: sandbox/mp_math/libs/mp_math/test/lcm.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/lcm.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,54 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(lcm1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const mp_int_type y("0");
- const mp_int_type z = boost::mp_math::lcm(x,y);
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(lcm2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("51111");
- const mp_int_type y("0");
- const mp_int_type z = boost::mp_math::lcm(x,y);
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(lcm3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("4");
- const mp_int_type y("6");
- const mp_int_type z = boost::mp_math::lcm(x,y);
- BOOST_CHECK_EQUAL(z, "12");
-}
-
-#ifdef BOOST_HAS_VARIADIC_TMPL
-BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_lcm1, mp_int_type, mp_int_types)
-{
- const mp_int_type a("120");
- const mp_int_type b("204");
- const mp_int_type c("136");
- const mp_int_type z = boost::mp_math::lcm(a,b,c);
- BOOST_CHECK_EQUAL(z, "2040");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_lcm2, mp_int_type, mp_int_types)
-{
- const mp_int_type a("12010");
- const mp_int_type b("3299");
- const mp_int_type c("84780");
- const mp_int_type d("15");
- const mp_int_type z = boost::mp_math::lcm(a,b,c,d);
- BOOST_CHECK_EQUAL(z, "335906753220");
-}
-#endif
-
Deleted: sandbox/mp_math/libs/mp_math/test/modinv.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/modinv.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,25 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modinv1, mp_int_type, mp_int_types)
-{
- mp_int_type a("35");
- mp_int_type m("33");
- mp_int_type i = boost::mp_math::modinv(a, m);
- BOOST_CHECK_EQUAL(i, "17");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modinv2, mp_int_type, mp_int_types)
-{
- mp_int_type a("17");
- mp_int_type m("26");
- mp_int_type i = boost::mp_math::modinv(a, m);
- BOOST_CHECK_EQUAL(i, "23");
-}
-
-
Deleted: sandbox/mp_math/libs/mp_math/test/modpow.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/modpow.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,103 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("2");
- const mp_int_type exp("14");
- const mp_int_type m("8");
- const mp_int_type z = modpow(x, exp, m);
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("4");
- const mp_int_type exp("13");
- const mp_int_type m("497");
- const mp_int_type z = modpow(x, exp, m);
- BOOST_CHECK_EQUAL(z, "445");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("2395422");
- const mp_int_type exp("2424832");
- const mp_int_type m("2424833");
- const mp_int_type z = modpow(x, exp, m);
- BOOST_CHECK_EQUAL(z, "1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("184");
- const mp_int_type exp("560");
- const mp_int_type m("561");
- const mp_int_type z = modpow(x, exp, m);
- BOOST_CHECK_EQUAL(z, "1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("997028168093060821869770104094480850560519901475");
- const mp_int_type exp("7455602825647884208337395736200454918783366342656");
- const mp_int_type m("7455602825647884208337395736200454918783366342657");
- const mp_int_type z = modpow(x, exp, m);
- BOOST_CHECK_EQUAL(z, "1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow6, mp_int_type, mp_int_types)
-{
- const mp_int_type x("184");
- const mp_int_type exp("5600");
- const mp_int_type m("2668");
- const mp_int_type z = modpow(x, exp, m);
- BOOST_CHECK_EQUAL(z, "552");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow7, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x201abcff00aaffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffd6d7");
- const mp_int_type exp("0x123456789abcdef01");
- // a modulus of type unrestricted diminished radix (2^253 - 41);
- const mp_int_type m("0x1fffffffffffffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffd7");
- const mp_int_type z = modpow(x, exp, m);
- BOOST_CHECK_EQUAL(z, "0x8f112a89871984cde410bb05621d5a6073557d2da0444b6681699"
- "80b5ef825a");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow8, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x201abcff00aaffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffd6d7123456789abcdef01123456789abcdef01ffffffff");
- const mp_int_type exp("0x123456789abcdef018978979899");
- // a modulus of type unrestricted diminished radix slow (2^503 - exp)
- const mp_int_type m("0x7fffffffffffffffffffffffffffffffffffffffffffffffffffff"
- "fffffffffffffffffffffffffffffffffffffffffffffedcba987654"
- "3210fe7687686767");
- const mp_int_type z = modpow(x, exp, m);
- BOOST_CHECK_EQUAL(z, "0x1ada35751ae1f5fec7ab0e60f6c924d5f4a4a5d8f6786cdd78838"
- "5ab16ebd994ee9aaea5faef3f490822ef443fd3e169caa3b608162e"
- "01d40a593e775c9fa5");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow9, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x201abcff00aaffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffd6d7123456789abcdef01123456789abcdef01ffffffff");
- const mp_int_type exp("0x123456789abcdef018978979899");
- // a modulus of type restricted diminished radix (2^256 - 53)
- const mp_int_type m("0xffffffffffffffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffcb");
- const mp_int_type z = modpow(x, exp, m);
- BOOST_CHECK_EQUAL(z, "0x777b5d9b290fbb5f99e4668cf1b0f723d3228fc252da492c54b75"
- "8379f3024e4");
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/mul.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/mul.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,366 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("12");
- const mp_int_type y("22459455");
- const mp_int_type z = x * y;
- BOOST_CHECK_EQUAL(z, "269513460");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("280708");
- const mp_int_type y("2245945");
- const mp_int_type z = x * y;
- BOOST_CHECK_EQUAL(z, "630454729060");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("65536");
- const mp_int_type y("65536");
- const mp_int_type z = x * y;
- BOOST_CHECK_EQUAL(z, "4294967296");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1234567890123456789");
- const mp_int_type y("9877771234567890123");
- const mp_int_type z = x * y;
- BOOST_CHECK_EQUAL(z, "12194779192182653090000267987090395047");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("789456120556882111687894651457623561325656871513");
- const mp_int_type y("54564563128978513215");
- const mp_int_type z = x * y;
- BOOST_CHECK_EQUAL(z, "43076328327684465744675616648356768900793087398990591539995027544295");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul6, mp_int_type, mp_int_types)
-{
- // this tests karatsuba multiplication for 8, 16 and 32 bit digit_type
- const mp_int_type x(
- "87500402519005030061267904448809305029512439942506161234260852587645856336"
- "94640987107484273728362553552515383304557585868121651546490330517814007487"
- "34682745159208158750835203309620570274592666481348052963762094268695162425"
- "18850320172906096781969070339129822281355221058882087466637338881223511228"
- "63144016884857141834687376804878770495858121023810198067988560350169566260"
- "59441070673981642057711662497893572913873133654626566743289483229067287310"
- "16863866837882738076436342057320810154710294295605465397209378421688020320"
- "35702406032061642794728883255642074744145228324022219347019013411158803532"
- "45994041206565648683544493690427219798945006072652042753387791345064784511"
- "50227920502852884378111055250850357557404795594025600468996407045934090727"
- "08041078777870387730504");
- const mp_int_type y(
- "87500402519005030061267904448809305029512439942506161234260852587645856336"
- "94640987107484273728362553552515383304557585868121651546490330517814007487"
- "34682745159208158750835203309620570274592666481348052963762094268695162425"
- "18850320172906096781969070339129822281355221058882087466637338881223511228"
- "63144016884857141834687376804878770495858121023810198067988560350169566260"
- "59441070673981642057711662497893572913873133654626566743289483229067287310"
- "16863866837882738076436342057320810154710294295605465397209378421688020320"
- "35702406032061642794728883255642074744145228324022219347019013411158803532"
- "45994041206565648683544493690427219798945006072652042753387791345064784511"
- "50227920502852884378111055250850357557404795594025600468996407045934090727"
- "08041078777870387730504938308922524767076619493071600607096868205642593777"
- "83064672064693123083586511497969514956199763260628691421422356349215807298"
- "53893432372651287096347803705731068491268031212879821570628466049198139563"
- "07225373203247341492567070512742515269237115281940442618925655326204507165"
- "43018685973456180521304052296263372550548657267007681462726186588489921154"
- "03738735312309811855295260282588410141887442245474311543699839300870263148"
- "89969642893224272388306131900850182843780525186002406202200057400419364041"
- "12480917884571681605871307558328122948240801747503773233227317344565943160"
- "78184811118761000119446172201197213166958413376441353073591860771242469526"
- "34162171790217465073689788174652534961638870987430329380376975097234424950"
- "28626203467171261194438985008578074151902043501430333019202385199270557942"
- "82069487032265791643884311563532673152911052140807076806223793474752085674"
- "51690168224265201474031350018449280412602665727006489664736651532321662145"
- "22395731894311806382965185156526606660906262290677223798531105431808835740"
- "80068277468617762211054331907328141344243411630209274782352265433366236954"
- "62340796945506470082986574244652633468578747126384423018749343237426427830"
- "62597495610006322516869046617226177792891514414040880511098169575819779926"
- "53267511946096311413217967853431922008343789549408902117132966444741997352"
- "58418657379544687590177580275674377304583931111620683151992749560156615440"
- "09956001573216294273550652829235006290995819615078227235050765818475452342"
- "95118077784320900839083926375344280915278665450149678774001364483022411118"
- "86989210613864536835695555040115554865868694788922281253334356037168116291"
- "99227045413249316876243936449829162763370534672670641521910718921661373160"
- "93948899172794003245737017747952580428164207428777214495975431645589773283"
- "12391742034637254884903040666536846003583703264118132242307521988982264762"
- "13953490712153270721924306359669195669881431604926261623147833800912453474"
- "06542388952383807976431616628717886593805647129190060659586374949333503420"
- "5241703455510726935");
-
- const mp_int_type z = x * y;
-
- const mp_int_type w(
- "76563204409879018101322737668344063995824904757312285775560614771886933079"
- "77822556905976720912850551355328340715074887289899094852653102687850101285"
- "85715275531977696497398396067715769512450915961775500023723324150851793075"
- "51871751151095323159497918186624088118225730504044262785072662119470825604"
- "40835072257208973943520251201155002832786969323087571220195329601804141972"
- "71293425859967733061169954398382700046379970842289727254846347411792122453"
- "98890529530611217475343335863666953662801553948341581412563112340543629531"
- "01094529771464590172847457807673685591148055046712881378811934516545088775"
- "38198087116656466935095055228728162461388333618793883566996616940381738437"
- "03453867953392241443573580380271627517797446062394044787118140775664622031"
- "49144609407766890328547643707523663509662747376486271392344480900673178645"
- "33198519112197059826509662943577383543858946941049753393431035706592040680"
- "43848484065292542884106550381079282660840705126574766636237650938379223350"
- "07308780680088758625608527577521721942952700001740314426688555136034651920"
- "92948869415921251533176579828351648585255631612516166131530519177426817087"
- "53127165191235539369253485175856164884318259457319518574027800748530624722"
- "30999853784133144744590149844870058500033133557974954747400058296439058233"
- "59080109028703731380219724583279605028258137468666258706566102379192203551"
- "90274426910716106736469216457355540125186992654301008720830993368763363204"
- "11036960264301276622450044075944548104639523605502445335712149154791061273"
- "09156720459736055974643337783563754269574952607968485689453462316428566668"
- "95504701770860331979649536167161534866285341319360225416010322271645564229"
- "97610536562445338176729838019564690253931232562709745122032537539983616770"
- "01864876491464203683664927984801289460556480278145114367860332493722569194"
- "34026051618152579992400234314328079213866348120156368725488604236521299603"
- "05243915357553896356662519397274629471920043679673543282319268893065423613"
- "03777840501083119668898860689222271939900089123195611475211708096094521743"
- "23436842195705603262202927396682954198215622617086455718070601797199587530"
- "86110222151397352239086193648500251298495752840008363650931395221675337916"
- "21665907282124706187656074325458499695895652068822763794228458103499408841"
- "68233732651102406546734395563663969020820490032431359396293047454261598159"
- "68165818673838448637209074584819780088546111644065538550490486693301185614"
- "61602638472505490238203390055056474763248195271964604045005807592301719483"
- "66411676459481184297663915491569500245585996483678005964410842919747216111"
- "69086269285356198998091850661544255466466926579668887000118948737207396398"
- "39189399212362197497646493143022100680619252808094160907526003969639965485"
- "31238493375062268758735445211914107215235958346264702774326161208396163240"
- "36339482493382189215697343908873498104516190541170342091008828518924813674"
- "46253090923280613514725437269574928515018666111820866090440006060807129643"
- "38626199608899966829344884873038261232122027815715568990196536130996880104"
- "97887027262726591236620461428328000537452828616386217063092509908555188454"
- "27278763741671312528892659532960085933913140197210561287118971031419725940"
- "70220283055606934471672907114014782099956647529889583250740029484462218658"
- "62960901244568848989478467720707250809806379509214397878558772543587967635"
- "96161034019645060913914198361071023036142203589230741296078930717247341831"
- "26204308310630181474853421564903407641109879794777661716811159608177803322"
- "61170286373919980640839261570604290919653466216587527613203517128403418424"
- "791614399508711582164287714644181913925240");
-
- BOOST_CHECK_EQUAL(z, w);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul7, mp_int_type, mp_int_types)
-{
- // this tests toom cook multiplication for 8, 16 and 32 bit digit_type
- const mp_int_type x(
- "0x5004a2519b00503006126bb044af8930502951243994250616123426085258764a856336"
- "35702406cff061642794728883255642074744145228324022219347019013411158803532"
- "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
- "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
- "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
- "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
- "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
- "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
- "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "9464098710748f27372836255355251ae330455ffaa58681216515eeff0330517814dd7487"
- "34682745159208158750835203309620570274592666481348052963762094268695162425"
- "18850320172906096781969070339129822281355221058882087466637338881223511228"
- "63144016884857141834687376804878770495858121023810198067988560350169566260"
- "5944107067ac5771a1662497b8b93cfe57291387313365462656674328aaaaaf9067287310"
- "ea6863ec68378827380764363420573208101547102942bf05465397209378421688020320"
- "35702406cff061642794728883255642074744145228324022219347019013411158803532"
- "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
- "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
- "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
- "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
- "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
- "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
- "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "18850320172906096781969070339129822281355221058882087466637338881223511228"
- "63144016884857141834687376804878770495858121023810198067988560350169566260"
- "59441070673981642057711662497893572913873133654626566743289483229067287310"
- "35702406cff061642794728883255642074744145228324022219347019013411158803532"
- "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
- "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
- "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
- "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
- "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
- "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
- "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "16863866837882738076436342057320810154710294295605465397209378421688020320"
- "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
- "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
- "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
- "f84c878148cc7020890befffaa4506cebbef9a3f7c67178f2");
- const mp_int_type y(
- "0x875aa402519005030061267904ccc8809d0502243994250616123426085258764585633a"
- "94640987107484273728362553552515383304557585868121651546490330517814007487"
- "34682745159208158750835203309620570274592666481348052963762094268695162425"
- "18850320172906096781969070339129822281355221058882087466637338881223511228"
- "63144016884857141834687376804878770495858121023810198067988560350169566260"
- "59441070673981642057711662497893572913873133654626566743289483229067287310"
- "16863866837882738076436342057320810154710294295605465397209378421688020320"
- "357024060320616427947288832ff6420747dd145228324022219347019013411158803532"
- "45994041206565648683544493690427219798945006072652042753387791345064784511"
- "50227920502852884378111055250850357557404795594025600468996407045934090727"
- "08041078777870387730504938308922524767076619493071600607096868205642593777"
- "35702406cff061642794728883255642074744145228324022219347019013411158803532"
- "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
- "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
- "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
- "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
- "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
- "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
- "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "83064672064693123083586511497969514956199763260628691421422356349215807298"
- "53893432372651287096347803705731068491268031212879821570628466049198139563"
- "07225373203247341492562497b8b93568861230addd281940442618925655326204507165"
- "43018685973456180521304052296263372550548657267007681462726186588489921154"
- "03738735312309811855295260282588410141887442245474311543699839300870263148"
- "cdd69642893224272388306131f0a850182843780525186002406202200057400419364041"
- "12480917884571681605871307558328122948240801747503773233227317344565943160"
- "78184811118761000119446172201197213166958413376441353073591860771242469526"
- "34162171790217465073689788174652534961638870987430329380376975097234424950"
- "286262034671712611944389850085780a4151902043501430333019202385199270557942"
- "82069487032265791643884311563532673152911052140807076806223793474752085674"
- "51690168224265201474031350018449280412602665727006489664736651532321662145"
- "22395731894311806382965185156526606660906262290677223798531105431808835740"
- "80068277468617762211054331907328141344243411630209274782352265433366236954"
- "62340796945506470082986574244652633468578747126384423018749343237426427830"
- "62597495610006322516869046617226177792891514414040880511098169575819779926"
- "53267511946096311413217967853431922008343789549408902117132966444741997352"
- "5841865737954468759a177580275674377304583931111620683151992749560156615440"
- "09956001573216294273550652829235006290995819615078227235050765818475452342"
- "95118077784320900839083926375344280915278665450149678774001364483022411118"
- "86989210613864536835695555040115554865868694788922281253334356037168116291"
- "99227045413249316876243936449829162763370534672670641521910718921661373160"
- "93948899172794003245737017747952580428164207428777214495975431645589773283"
- "12391742034637254884903040666536846003583703264118132242307521988982264762"
- "13953490712153270721924306359669195669881431604926261623147833800912453474"
- "06542388952383807976431616628717886593805647129190060659586374949333503420"
- "ffab023789d7d78f78a45a45fee789001a1a");
-
- const mp_int_type z = x * y;
-
- const mp_int_type w(
- "0x2a4ec67dcaf1afdd14bf63d7cd883f269ca00be2cae5c539545352050e33af7bb008713c"
- "63587bc02911b0cb1fb807d94cd4a937f6e19801a28500f45ba1dc90a548e8e15e0c31536b"
- "39f3940191a76b6fd96fda83c7aa9aa675f536633917587fbdb4990f73dc4650e19af67392"
- "712b0a94aeec78f21523bd2ae92cee0b5d42ce2ead649060ff8134dbca0790f051b132b8fd"
- "2f0bbe66f3226f7fe7a80c0be18fcd0238ff0100e4353f4973c1cb72c40e83804192fbd008"
- "1e3d4dfe03e1d4c8d1ed4ba8ffe7cf5d00237598de949ab89cd6f95cbc3545a4d797e425f9"
- "041fbe52955af28221505ce3e53cb5bc12d8d9a13f39704463db4db21aaea4fc29643a2746"
- "2e6d3b40f9eb621106bda6223bf2aaa4f027e037acb45406cd39b242c90df3b4fae1bf788a"
- "1529dac1ce1b77f4d1557e2aa8a4adf9c6b3b0c364ce68300b5f65efc8166dae1b2e0f8443"
- "76975b12b72c36f2dfc4a533adca3db43955265d91d15232bcfd712e46dd4cd4f63981317b"
- "31be8e9fc0a56275da498e8a4c13419eb8560fa05d73373ff238787b77c0b45c0b44b6b042"
- "365bfb3b3a4d96cdb3ad7cb9b9248498a02b43a16206db5cc3f52c4cdf2c58807a68a6d1b0"
- "f24bf8daa4eaf6ffdd3e781fd52b5fe609678d045944d7ea6a6689954b82a737b136a86d32"
- "e8de0c6b88e66300487b83deb53038fc298c2b1d1ffe64ab7ebf0e7682b285bb567c3ad4bc"
- "69c0e0216f5c8df2681a3e84435b39dbd4a3cd5dcdf0b776bc0b5281f8806155318e70d237"
- "4267ca699ebdc5df58e282f7a6d2a7401a3544193741e9597df7fb92c7a0c87128b53ae873"
- "14aacf233fc20cba4ac4835579bd82b6efcadd591dbf826d470795d64bb698202e3fc5bbd3"
- "9ca2249167520764d448a95c7a7ed00f43d2f36f4158fccacf2f5738878099da8a323e7d2c"
- "57579da5e348b45aabe59366085532c73c2388b3a2672b08758bdaae3746364b49d0217b27"
- "5d22b2b4916628afd5009e103803f4ba5241413200d85e119ceb4dc876c1521047a8be7650"
- "767b0d83fcbf991c6b04a51213692867fe4c9e452b2800fe5fc57df9d8f75cab72609a49af"
- "92b1e2407b64ea424344a626b2e86eacdf18af6a000af8c5607019df1d670307a65df3e4bf"
- "51e9809212a3288001e1df69a6070558e24f686ff34b50e7b2daf5f3f7abc7be88fff8fb5d"
- "f0aab1f952f91eec5c5ff7e25d2babb61db263e7381fbe40ad81b3494c323a35d3333fcadd"
- "d6b057c88fe2f43ec1bf754de9fdbc768457d7fc44c90c2e44f79c32849f56d7d2152b96d1"
- "4b7735e8eae29d8e9ccdd61be1f73f7d1d2e16732505448a33145a5b1d5c342f0990a0a731"
- "a5e034cb3c0f5658e20b8ac7f4e93c249ec9badb93c4e064b59c34b11e4327d0dacb0951ac"
- "1c13831520a06deee884613bce16fe5b92e1e0776caf6aa1a7aadccad11a741e7c08512816"
- "e1c4a0f8910c35450a7448c180528decdc54a9af2cf5b5244c03d088be6d8b6978f2e90baa"
- "3ce9f85456b51768f7b2d2261785f7680e62cdc420d0e62e41aba012a391c250d3579665ec"
- "06a0e137c8d3da6ec07be1c2f0599dcbd1f6a801a06a062734ec34889edcd57ca99bc35d5b"
- "9686b7fc073aa06d9d052ae7d762a7dbc5740e73ef730b478acdb54455d4db80e80b03bc61"
- "aa013ab9c0b9ece6a00e4e46c16068a2771d0c9c42432f4ef1279481886c6cf890d656a8fa"
- "e248c9c17bedb151ea802c3b8d7918296dc38a71f173c0b6fceb72611bc817429271ff1d1f"
- "9fc29780727dbab824eb6ff07e552c8a6679c667bbb20925b7920c7307e3f553c64e1f8962"
- "e556168cef58af8f406f9f6847719addd6083d19e351b2281bb6f8f64789cdab8f29915f71"
- "128cd2152ba95124b935770dda3231973037cb7c1e8d22ee4bd10331c91d4db53c291cb16c"
- "f498366646a27bc18df39aeb5790ba6e02c9904b0fe7e6127dd412daaafdc9b1548727eb05"
- "57e191893e391f038797139cdf054dab4a208b00dbea79313c3952bcaf8384882456dace78"
- "117550a133acd3cc883c036e2ecb133eaca4f6df4c002589436f529f3975fde6c779ab3038"
- "85b1decf3f9b625dd31d634e98410486ba3e3dfff5e90da22c1734fbf9b52b92db6b44af70"
- "da57859ca38220d8a24dca3251f9f65a1abfcbd2386732f3919c88af189efeb31ee6da9deb"
- "f70e85bbaa928abb1d2ba86d3b038c1eea98c1a36d0e783a79e578cbc3b98d9a9f4a9c0392"
- "bf51fcb31325c1b9131f762cd31583c231d786190dc92752781192a72ff75c3c8c297706a0"
- "4d14571575e076dc13c8bf2c3202bb468ef6f20f6ae27ba91a0182af2c73a40477a9e1d23d"
- "60fc5f57e9f3a86315b11ea7dc922ba70d38a24c18e1552e15239b2a29d6fc7517f5aabdd5"
- "e0c800178beeac9b582c44af59f7c2cee341813eb13220d4bee3ef07e9ab8d35ccc0f684e9"
- "902affb65f87cee827e6bd42fbc433df0070dc210d078fdc92fb7f559b577150e28f21f64a"
- "c0edc61da523858e62cca0c85b8c16b8bd784f7ed8efb96314e75b3b9bd26ea93bdfc45565"
- "85ea59cda0c92be16321ed27d93b9a05980574fc99dcb079e6145a0b0ab0c4cbebdc0e51af"
- "2825278224922511ab721f412589b8a160fa95c3bc9038a3af4a330f5e796d30bf60017921"
- "bc01a0200e87c26a0afedc292ff05a3e9d564323d0e0c738bcbf24f226d9aa59944abc109a"
- "9916f57dad39fd1c928da18c32184a230be2eef814c47cea0baea02241c34fae2c8d025a02"
- "0ab4faf8409cbc467333b807af12473f5dc3be988bb9ef61a60ff1672e07de7f5f6bf99583"
- "f876305337ca3bbc6b2cc1f562d9f4b90cd9e54d85e04b8aa47dcb4dd5efb271f2a1d61922"
- "cefdabcad5c3565f3f65a3e421e688b53c15a568c368eeed28d546e47dd53afc3944bfce69"
- "94841555ac1a1968412a5504d68ae69b2067aaf3c8516a993ffb0657f82cfcb4950e6da431"
- "de09b4a1d104e3190af9518bd2d10921ee2a3cbba8c25e1ef98606121d60cb48dbe91994f6"
- "afceb6ea5187fdbd6d943b24c6a2584516d014ca5549828b1c5dcb80016f5dbe91667d03c0"
- "ed9db277261ff9a7fe77886bb1c9c7d3e95e8a4204b984115323b3a8895ae102921e807294"
- "131b5554246e6004541e11d1e449f017f1590b18c695ab79b098683f4693e0c6d87836feae"
- "3db0bceca8b11f9b2190b8f61d77fdad0687ce678c31059af3771bc54170fad3171efa5eaa"
- "39a4dc3d3fa837e868d1cd704de7c1877e4b77cd9fa44d500b74d0a52cf1b9c5ca6f031005"
- "c6362066e930694a5d8063a2f27c899a78dd4f79f89e47c46e24c454efcb034105824c009f"
- "9ce5f9b0eb6998ee1a61a2b83ed878ac81e50ffa48f6c5eaf225a56c9cbca51312808c0c51"
- "7f49f131c12ecb7094f389228b77db2a305a01f69975138aa67dce71b80285fa1f21993189"
- "b38898d0e2c5e6fddb644101107f610ac20ab744140addc41021fbf68b041b80fa3c1a3851"
- "65038651ac3a07ef76368658c5a984d28e149981a7ab931e6fa1d87aa8756331927c54443a"
- "54177cb8617bd8f54aba47a06af8f41f28cc47d71bd153d821c0c45adbad135170cfe68429"
- "683a0bc06e4e7a06bd060a87fb8309e4f14c31a3732eada80079072e55fc26cb02ac710791"
- "0a95d32111198ac6c07625c117acf23fefbbff59fb4c84bc6ac1a3fde905cf1d75693caaf7"
- "7d2728e7c66d6005a236176e85cb3b282fb7a577e5e4c617c23b2af879810b560882c93552"
- "27ee9670073d5288c4af9e57a0c81c7af0142670dbb0a18a2f79fe3ae3791739e732784600"
- "fe9a9a4475ad985499e81ce7a06a04368fbdd007ddb2a222a0268c086252e73f18ef9b165a"
- "c044c5f42af698b80eba1c1b4423c3b8d010d31ea85831fae7bbb74efe9a22283c1e238d09"
- "6ae5d00ded7ae17744925d316b3d1c92861c58e1e6668dd52f4932c1e891ed5441f29786fd"
- "d41a78b75730b8cc193ed85ac5a667a86ba4bbc1ad45aeddc56d32e16f410ad06f5cd2e6b8"
- "2a31feb6585cfe987b8db1dc8dfdd3a4a8b09518f341fac8f8c7aeb8052cec62bf23eab8a1"
- "b35cab3e3ed3acc3b64e29c1cc4d7cdeaefcd61f06c61b8a48b90a838ee0aac2cc76a2e56f"
- "d8dda42e2ff863f75132ff39dd4241ac3ac1aa21845a66bdd02b77b4c38dd5ada02e3863e0"
- "12b5bf5ad2eae7f6b1b85b4fdf960b915c257dc2be810ce92bb82c58bc478994a71332502c"
- "ea5e5cf5bfc2ba0480d53dd2dec046f718001eba5088463e6598488dbca8cf07024102458c"
- "abac35a14188323195f0bcc8a4d7b006467ad4ee46e6cc61f91243e311e0a775582ca3be74"
- "9193f6044b573435eb7185c437ce3abb6b232f7d85d5beb68ebe859b9af9d6216a5c1a236c"
- "499c661d705e9df96466429370c573b7c02d6b66c9725f39550e9bd8f63b69dd1d91ae3b7d"
- "daf6e53f36111e43f185b2a19e6969c95441159ab96ba7928d9a8c66a81d8cb2967d90f5b8"
- "65bf2b0986e7e10275476faf729ff6ff275347c3afb647cfaf80b76a7d51c1530e5e305241"
- "e46f992416baa5e204ed1ccc29ab615e71ee06a21d29fabf1c114bcb0262a5031bbb8bf5d5"
- "a4fcf004f0276eb27cb4007eb0cfc99fc515e858170e135707b07b5f0839f602d1f1ce9eb7"
- "a41e02aea4c95a499f9ade35d8f1de41791d62ee88fac1e74828aa5025efa0444425f58edc"
- "1158f0c1afa86f9cf062ef973eb852fe203a48a8cc6f9ef89bbd76e5602aa93c3af0cab8e0"
- "0433b8beaf63024c36d652dfc1065c483ce480e6b36250d8bf4c3e8500ca1ab6457fa02206"
- "6592d25f38e376a4e9d7b1dec77b378b6daf4a3e33e5aac75ff2a93808b163e738b62d6f32"
- "c8526d92795fa623217fcb8c4450bd0ed300742327457928fb0ac0d9a1a47c490db6d3eb56"
- "900e091c8e047e6f618acac52dea702c4ca72acd001f2c056291d71e8e7e49ea13afae0d3f"
- "66a7d7dd8d6a264ca4be9eb02549bf40e61f1e2e4f01fe4ceafd7855686747eb1b1acd2c96"
- "92fcedc94");
-
- BOOST_CHECK_EQUAL(z, w);
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/pow.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/pow.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,430 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_1, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x.pow2(0);
- BOOST_CHECK_EQUAL(x, "1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_2, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x.pow2(1);
- BOOST_CHECK_EQUAL(x, "2");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_3, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x.pow2(64);
- BOOST_CHECK_EQUAL(x, "18446744073709551616");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("2");
- const mp_int_type z = pow(x, 0);
- BOOST_CHECK_EQUAL(z, "1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("2");
- const mp_int_type z = pow(x, 1);
- BOOST_CHECK_EQUAL(z, "2");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("2");
- const mp_int_type z = pow(x, 64);
- BOOST_CHECK_EQUAL(z, "18446744073709551616");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow4, mp_int_type, mp_int_types)
-{
- const mp_int_type x = pow(mp_int_type("301"), mp_int_type("259"));
- const mp_int_type z(
- "0x16becbb1b891cbbbab4825ed1335f0f4ef5250f620023061045e87ca80d80ea7daf0cda8"
- "023aed1a969864de781297ae556f2bba6d951ae294805dc888f6de01dac2b7dd3ab47db207"
- "b0f980f26a54f1c7dbb3ebc6cd5b952cccc67569487fd2aea057d4326cc56aad90ecd89b3c"
- "74c1f30f6ac637a64b706087f2fe16c3bf2be3692106717387813a8a2c9da65b657a8a2a61"
- "abdfdc6698a6f6543d8f5ae88b192293e2a76ed402d3c914ca0c40e21fb1508cb2c5a7dfe5"
- "1a357fa58bf9e2f1d1fdd2c3e72b600a8e7390ac0ec65cda8b0636595a83dfeed163a0e161"
- "b17acc476db2cc246bb3b14a1b33cdfd659d43437b2c4a203e07a8f297ad3a716b53d8ce28"
- "e84f1b3ad36ba0d2f5");
- BOOST_CHECK_EQUAL(x, z);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow5, mp_int_type, mp_int_types)
-{
- const mp_int_type x = pow(mp_int_type("3"), mp_int_type("66666"));
- const mp_int_type z(
- "0x8a25f1339bf63db8e5881f75e7f89ad860d393776362040a47448cfbcb4a9402558acf60"
- "7a590c1fa521b672329cc18a63eca1cadf87465bf8b44ef05fce12fb020ebf2c2b246d9a36"
- "af527f947f3d238d3e2504dd5a0f3a071dc98784d1084cbfc4554fc21d72f72ae65766600a"
- "007b364d2c182ba9b9b16011c2853a28fa2455bce4ac2af57f6c8337b85a8e01fd4086f128"
- "bedf51902d90fb9e9a7e859e65219b46ee14d5a1660f37884801c65d2f580577f7644014a7"
- "f26f648308b7e7852fcd1702740aeddf1c63d2e41e3a70f13347c1236f8dda54db58b1df1c"
- "0849b96ec08286e3160db6c7c71b7488d8516af84eb08e8188a4bfbf045f3ed85ad3d63a16"
- "79a4dab46fd15caf25543e21751c164b9e7bf0c3ca98ce518e95dc7dc9c949b114aac50935"
- "f3744f4cea72d9f857c2aed3a1b9e682dd00d6c470365b2af4f95733c16cebdd56ca2d0f23"
- "846be5f1b6bbf0f5fa7ce974bd310e07fe23502def57e53d495364f5b6db3b11ca05582a36"
- "d17ffb5a409044e2352bfcb4fb721e39a530c8d9d8373c50ec0063aabacff9781e9cc6df7d"
- "aaa44256e70ec2e3e0db73b4bdcdbc62d86406dd63dcb24551bb1719232ae07381129299c1"
- "81c17e69b45391e668c5711112e00f90d492a428c15d93e331fc50faa7f0bf3e3de80050ae"
- "b198df940c84501f2b419b19b03b339b86b5eaed0647808fe1094601bb6d948f2865194f8f"
- "b661e26e60ce3a0850258ae914b6c35acf512b4ff6b8adad70eb32e649757368216a02fcfb"
- "dbc887e9003a2edc863c23c878cb9cb84e7bf478258d0c5c297bddf56dc30b87f693efdf7c"
- "b1c6c42d867ff7c1d953749905e90c74eb8db7c83ba48a69d4c7b5a4d49bda733fb7e18ad3"
- "df329e4bedb322678ba5b1884509ce90db795dae188978bd1308796f6d34fb4b9b8e95ca7a"
- "af4599dcff213ace57690345ee9cca65f870fed4d59072a9de2a9d8d523b34881c78e79f6a"
- "1666e7f01a987d6052fc995f38c92b3412ecff1a009d4c55636afa1e11dd375f909026ad7a"
- "caf6a593e6df0a607c5f2b231de83bf86d7817dc7f927d05dea16e3752ab18ff6fcac9031b"
- "390036a0b3c6e89f5d880a3c31755bc9bbe3b74b7cb0ff521f0c61f4b772c1dfc7fdc834e4"
- "aedb0b257490b0b6f926648617463aceb4b6b6f16e8145cedac27bb671f4a38986c15302e5"
- "51e1f0e5d38b767990c944b3f2a652d71eb3d3065d2872c0816a9a59bf57b760eae8748254"
- "54e8c3623b0515c83387318a2c9c0a8c99e497f4684fd8ec03505b4b1eb7f5f3ecb8505c2e"
- "96c0e9d8b44af13a9197d415766f38e9dcf11c4cde6232f1d43f63765d45212535a628aa1e"
- "354bc23e810f71058e38dbeab9e2ff3f335abcb58293f4e594d643f10be1a7669b667ab735"
- "1899f7664015a4d5b4051ac01129710f03df6dc71146123e7d443f307341cab65f197bfe87"
- "5313d66c8dc0338e87c52773ae8f3bdba84dbf8a1a3f4f73b3e0ef9452981521d5a30c01d6"
- "a6827882790ed81f599371c5ae2a266167cf96d9d01431a6358a669d63f21034e998b47c32"
- "4ddd505f27253dcef488b1c203ae3f46206769669dd1122ab00dfbf36f89c557d75a6bf7be"
- "a889f32493efb3bd63a1432c7d7130b7502d2dcc55c85a80ec915370c90f0719328d1a87e0"
- "2652c515b710488f3509faf0792e6d853ad1fbd5322fcc5c78bf2da284fb8ebe79304db8a2"
- "ebb0a14e5eae45a5627b8f81714821ce0e83f742fc79804e27d8bbc38eca3994243a8f5f48"
- "ae202e7575835c760eb05742dbd11b31111450148dbfafb29ffd28718dada8f6ae40d498fc"
- "e7d6a24ed98e1aff5e453f70def935430a795b4daddbe4945710f5553d903f95e60b731f41"
- "8a6e570492b52e0c8b7fb00bec64703e8f62262f32d70686a9cc9244491b8e5ef606a40787"
- "e6b41bd08c24499abf57227b142baae204fc0b4d55a81011d9252c3f4fc5543fa0fd912d13"
- "44da807f30d314669ef47d9cef9f7e316bd3e5b706b87237b0aa86365452116f0229d3e35c"
- "5684db8b6ae7076d6decc75822d7ef0ff94f7ed3db1f7296cdc2465faf0ea31e4e11bfe5e9"
- "a7a65493ea438ddedf92036914a54a20f03f3d65a91fb138714b74d6e6fdea549719e3613b"
- "2840e277dac23aa4d466b7f895801e6ad95532e1f2c3183c8f3c2adfe96fd0c0c47e23c172"
- "bd993fe30ac299e12941a8a60ebd499b31fed0ef7c2981a862aa5ad6486eabaf38bdd838d3"
- "8ed62fb21fc76fdc50935c3003c02fe61000218e8507511602b29969ce1648371f8fed081e"
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- "46c29f0fd3f8ef8e2e3be6ca727e1d35ccfc5539f372103ea30803779089fb811aaf517213"
- "ea35fb33c0d4a2464f37f286be1804030d59bf53be9bbc11fbdfa9b2fee8deb60f6ac7d6b4"
- "070f4d666235ee4dc314b85869f339333a1b3cff2eaec781ea6a07a2440bb035b75a00ee0a"
- "7d42672f160604a2e372c3ced65d4a556412837c8038f6a93e4eecfbcb4408a42159e76625"
- "3b2e0f443edfb3e6f098021eb7b030f6d0d4b20243222604ea84d81e03a0f7e63a447f9bd1"
- "a3f26485bf69912e16dcfb0222c8c5d74e7166e1f899101c74abcf4fc0558b4ae26a2c0e08"
- "e2dc20c91d2c9fbe835d44ff15a26c6b976fcece277e4ff9fe80c0a28d5bf40bc40af5f782"
- "13476c0b6873fe734a066fda3eb350302d7206168dd61ee4de813c8ac65a3a48cb40ccc821"
- "c8efa14ce9320e6f0de35b5e68735bab8d03ef1185799151bb5f8a3f4d956752aec525cc73"
- "d187665a0027189cd895f01422e59abed3bba5b655828d4aff00d77c846ea690c18a5a3f2b"
- "86fd9da63f095da01f3778107b640a2813197a3f7023d652b2865ea8e2f93398fafa2f9af9"
- "0ee81a8d6eba0d6671951ae831f85bb510605caf3ef2550ed0ded1fb90061857dd26eded72"
- "5fe4399711fb2d0178a386046db054259a44896fcb795961e283fcda0d13be9b390fdc71a3"
- "e3aadbac44dc71b9086e4b204cae1b0fa06268bd73b746807fd4c0ece38fdf877c490cdc7f"
- "b622c8ec94b374a3b739c013476ba680edf46739c981ab095c175acc045c445ae15b208637"
- "b13b841eae64b9b571630dc82119547ceefbab3288fa224d73b572ab1ac600258dbb7711c3"
- "2801723744a2f80902b46286d52665d368892de15e283f30a5e3fe1d36284ad42afeb58a7f"
- "a9850d6afd277ce4709c716160521dfabc755803932fdac96c096606be2690af795f418ba1"
- "a3fd1e5758f570d702be4855c76c8ffeb3cf31056b47ca5d7aa498fd83302e490c61b32c8d"
- "3586f43ea5772ad98b724cc51e2337d4674f086f915556b69ecfb837e4586c84b147cfbea8"
- "a6427fd5cef19750866fb59dbc669de92972052b651c8d4c2f7cad2db4e2690b23db7830c1"
- "c20658fce756d74db87eb7b93020dfbc49b86fb1ca81291f337d4642a0b330665aa8f4087f"
- "ee34d22b190639bd02cf126ad96a34f21957e92549e0d96f54d0b1aeb904c33ea8e6733f0f"
- "42abc821451471293415c18d4e01c044a3b96f85850c73a26aa01a382e424350f85eb5007c"
- "d23878fd90f21c0413eeca6337a0a1b7bebf8042fbb10c6b6f6469dcd61ac494bd3efb2d5f"
- "fbfd5e5398920d5a13e84da91a1636ae862c95b2a4d99e8e62eb43a7ce89a543db8c942926"
- "e48b08d33b89afb9582bf56e50c5cd9d64e9e733e9a47404217b51d8854872800edcfd5426"
- "39385e1f66242e01f97fd3a97e201eb95d16305956e57a8f9adede23791b8ee2fa3b81db49"
- "f56cd02fa900439c2bb8b9fa7c65ee662d415164f5930a7c65769156080b3cce889e103330"
- "a9a7934962d5ef10e8577438524c484aeccf8f556975a2006cc4e7d7143165f2f771d77a64"
- "06d2251b8dd659c8a42aebac5d8e5513bd0527f9b6f709714bd82cceda33a18a572d7b1f28"
- "e998a96d4fb596f021f68215356439f40ad42282bf784b954bc4900860bc07f4452ccae599"
- "5a27afc8535b5854c5305ff02af7b876879512071f6d7aa7eb5ed7d37c0e657c00962f3441"
- "2b23a694e75a52a60fc7a861deec2f27ce4f323dce313b98dcd9c4d419985ad696c5f58361"
- "392563e2b0a0f72ca286e9a5a044a32685a01e4ade75983f3e53f74f4e1022b82479269ef5"
- "279ec1765955642c27aa83847e0b9c029b63da839835575820699af9a038b587a468e556d4"
- "26601282fbe9be24e1b33d0e1bcab5c5398f3ac6b67889f4c99b40cfa906fc2cf002868c2f"
- "3d6f3bc73b683bf210ee4a5f5281c416898ae4cd14ced66f51e1c48a08420d275c90c3d3c7"
- "7ca4eb22fdc5df97ff81eb1adf987118b7fc6b501b8a2c7a9be1933ab3b6f651ae93141ff9"
- "7de2fe9ad3fc3852df6c89b2959a0fbfca0b63a7cec988e7eddc256962d58c2916f17b4981"
- "0fe5543a37b5d74b52fa3bbb5385b7a08ad38b99b80b4744d48aaab4075c7672a45736e3d3"
- "8c58f827472ba8550dff056e919f439796ba9c905a5a1df24e93d40958e215c59edba0886f"
- "5c9f8c8b05dba2f2c9d4e568555ea29018cef66b10ebbbf76cfbf6d72c1795402a70bed95a"
- "c819b0f05431b2203355e77827c72fb5b0270b1817df07cd9c99a4df89f8cbec7a87ab59e6"
- "3cfc554d19d1f38a29206d3e5e590de1e6e329c2585d215945e9397d6762d60e23992a450b"
- "e389e03eccdc0901808be8ebc45051b32956a1189649f25c37a09287762f5f4a5c69c54867"
- "d63159662c6d83cfdaa0a9ffd19b356ef4aaeae58d6c481b84ede83decbbc44717f6e0be29"
- );
- BOOST_CHECK_EQUAL(x, z);
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/prerequisite.hpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/prerequisite.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,42 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/cstdint.hpp>
-#include <boost/mp_math/mp_int.hpp>
-#include <boost/mpl/unique.hpp>
-#include <boost/mpl/vector.hpp>
-#include <boost/type_traits/is_same.hpp>
-
-//typedef boost::mp_math::mp_int_traits<boost::uint8_t, boost::uint16_t> traits_type;
-//typedef boost::mp_math::mp_int_traits<boost::uint16_t, boost::uint32_t> traits_type;
-//typedef boost::mp_math::mp_int_traits<boost::uint32_t, boost::uint64_t> traits_type;
-//typedef boost::mp_math::mp_int_traits<> traits_type;
-
-//typedef boost::mp_math::mp_int<std::allocator<void>, traits_type> mp_int_type;
-
-
-typedef boost::mpl::vector<
- boost::mp_math::mp_int<
- std::allocator<void>,
- boost::mp_math::mp_int_traits<boost::uint8_t, boost::uint16_t>
- >,
- boost::mp_math::mp_int<
- std::allocator<void>,
- boost::mp_math::mp_int_traits<boost::uint16_t, boost::uint32_t>
- >,
-#ifndef BOOST_NO_INT64_T
- boost::mp_math::mp_int<
- std::allocator<void>,
- boost::mp_math::mp_int_traits<boost::uint32_t, boost::uint64_t>
- >,
-#endif
- boost::mp_math::mp_int<>
-> some_mp_int_types;
-
-typedef boost::mpl::unique<
- some_mp_int_types, boost::is_same<boost::mpl::_1, boost::mpl::_2>
->::type mp_int_types;
-
-
Deleted: sandbox/mp_math/libs/mp_math/test/prime.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/prime.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,243 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/bind.hpp>
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-
-template<class MpInt>
-struct fixture
-{
- std::vector<MpInt> primes;
- std::vector<MpInt> composites;
- std::vector<MpInt> carmichaels;
-
- fixture();
-};
-
-template<class MpInt>
-fixture<MpInt>::fixture()
-{
- // from http://primes.utm.edu/
- primes.push_back("2424833");
- primes.push_back("5915587277");
- primes.push_back("48112959837082048697");
- primes.push_back("671998030559713968361666935769");
- primes.push_back("2425967623052370772757633156976982469681");
- primes.push_back("22953686867719691230002707821868552601124472329079");
- primes.push_back("31353958997402666638501031970734176101289470405573395248411"
- "3");
- primes.push_back("46695238499321305088763925547134075213191172396379432249800"
- "15676156491");
- primes.push_back("18532395500947174450709383384936679868383424444311405679463"
- "280782405796233163977");
- primes.push_back("28275548353370728705475218432112134576686148069744870344385"
- "7012153264407439766013042402571");
- primes.push_back("20747222467734852078216952221076085874809964747211172927529"
- "92589912196684750549658310084416732550077");
- primes.push_back("35201546659608842026088328007565866231962578784643756647773"
- "109869245232364730066609837018108561065242031153677");
- primes.push_back("49949091806585030192119760356408111278062369027342098434296"
- "86905940646121085912172293044610060051708652944665271663688"
- "51");
- primes.push_back("54522121518442644531155217703627128153004567880738702606371"
- "72006414987479914150831821202259862091373741738511579629040"
- "732909194883");
- primes.push_back("11116154175595527770308362725647119128773382144932530406518"
- "51655768643786825585565208246254887946100346011818823101363"
- "6706338524913578946637");
- primes.push_back("65669205018189751363824155419918192392295592176092883676630"
- "41617905539892282237934618347035068727470717051679959727072"
- "53940099469869516422893633357693");
- primes.push_back("51665668390920744584663348665715976941144605703879863575380"
- "48450432901440804868689337999823161841839689242893622491638"
- "917313351308387294478994745350551549126803");
- primes.push_back("27218343798190233889779431662111815254174074647423987223301"
- "82099632472829888864333146379225493741435309651830476334589"
- "6749125106775048493507719412795029690510090142402163");
- primes.push_back("27834442010031021673804244175247010833232390861821952548705"
- "37102073847719982865971352904187195267023851783658963402109"
- "57041552257518693488098683242070746473230980005141419410511"
- "409");
- primes.push_back("50774619156173716518115936073898485346139106651602235699024"
- "04065418076795944656510340577164207672426574638345121648036"
- "69334456133986869450012704680852639785739151463455742734197"
- "2391976756821");
- primes.push_back("58021664585639791181184025950440248398226136069516938232493"
- "68750582247183653682429882273371034225069773999682593823264"
- "19406708576245141031259861340509976971601273015479957884681"
- "37887651823707102007839");
- primes.push_back("7455602825647884208337395736200454918783366342657");
-
- // composites with small factors
- composites.push_back("2530121");
-
- // composites with large factors
- // from http://web.mit.edu/kenta/www/three/prime/composites.html.gz
- /*composites.push_back("241999944999997");
- composites.push_back("9247999997483999999981");
- composites.push_back("9247999999996395999999999973");
- composites.push_back("2738000000000000184999999999998407");
- composites.push_back("172979999999999999711699999999999999867");
- composites.push_back("3920000000000000000000000000000071399999999999999999999"
- "999999994969");
- composites.push_back("6479999999999999999999999999999999999995877999999999999"
- "9999999999999999999999947559");
- composites.push_back("1458000000000000000000000000000000000000000000000000000"
- "0000000006749999999999999999999999999999999999999999999"
- "99999999999999998367");
- composites.push_back("1095200000000000000000000000000000000000000000000000000"
- "0000000000000000000000000000000003329999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "99999999999433");
- composites.push_back("1999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999772999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999960081");
- composites.push_back("7937999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999960"
- "7509999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999222"
- "63");
- composites.push_back("6727999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999996154599999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "999999999999999999999999999999999999999999447193");
- composites.push_back("4231999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999977321999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "999999999999999999999999999999999921103");
- composites.push_back("1729799999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999383409999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "9999999999999999999999999999999999999999999999999999999"
- "999999610793");*/
-
- // from http://de.wikibooks.org/wiki/Pseudoprimzahlen:_Tabelle_Carmichael-Zahlen
- carmichaels.push_back("294409");
- carmichaels.push_back("825265"); // 5*7*17*19*73
- carmichaels.push_back("1152271");
- carmichaels.push_back("23382529");
- carmichaels.push_back("62756641");
- carmichaels.push_back("114910489");
- carmichaels.push_back("1407548341");
- carmichaels.push_back("11346205609");
- carmichaels.push_back("173032371289");
- carmichaels.push_back("2199733160881");
- carmichaels.push_back("84154807001953");
- carmichaels.push_back("973694665856161");
- carmichaels.push_back("9746347772161"); // 7*11*13*17*19*31*37*41*641
-}
-
-
-// primality tests
-BOOST_AUTO_TEST_CASE_TEMPLATE(prime_is_divisible1, mp_int_type, mp_int_types)
-{
- using namespace boost::mp_math;
-
- fixture<mp_int_type> f;
- typedef typename std::vector<mp_int_type>::const_iterator iter;
-
- for (iter i = f.primes.begin(); i != f.primes.end(); ++i)
- BOOST_CHECK_EQUAL(is_prime(*i, primality_division_test()), true);
-
- for (iter i = f.composites.begin(); i != f.composites.end(); ++i)
- BOOST_CHECK_EQUAL(is_prime(*i, primality_division_test()), false);
-}
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(prime_fermat_test1, mp_int_type, mp_int_types)
-{
- using namespace boost;
-
- mp_math::primality_fermat_test<
- mp_math::uniform_mp_int<mp_int_type>
- > fermat_test(1);
-
- mt19937 rng;
-
- fixture<mp_int_type> f;
- typedef typename std::vector<mp_int_type>::const_iterator iter;
-
- for (iter i = f.primes.begin(); i != f.primes.end(); ++i)
- BOOST_CHECK_EQUAL(boost::mp_math::is_prime(*i, bind(fermat_test, rng, _1)), true);
-
- for (iter i = f.composites.begin(); i != f.composites.end(); ++i)
- BOOST_CHECK_EQUAL(boost::mp_math::is_prime(*i, bind(fermat_test, rng, _1)), false);
-}
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(prime_miller_rabin_test1, mp_int_type, mp_int_types)
-{
- using namespace boost;
-
- mp_math::primality_miller_rabin_test<
- mp_math::uniform_mp_int<mp_int_type>
- > mr_test;
-
- mt19937 rng;
-
- fixture<mp_int_type> f;
- typedef typename std::vector<mp_int_type>::const_iterator iter;
- for (iter i = f.primes.begin(); i != f.primes.end(); ++i)
- BOOST_CHECK_EQUAL(mp_math::is_prime(*i, bind(mr_test, rng, _1)), true);
-
- for (iter i = f.composites.begin(); i != f.composites.end(); ++i)
- BOOST_CHECK_EQUAL(mp_math::is_prime(*i, bind(mr_test, rng, _1)), false);
-
- for (iter i = f.carmichaels.begin(); i != f.carmichaels.end(); ++i)
- BOOST_CHECK_EQUAL(mp_math::is_prime(*i, bind(mr_test, rng, _1)), false);
-}
-
-
-// prime generation
-template<class Engine, class Distribution>
-struct tester
-{
- boost::mp_math::primality_division_test test1;
- boost::mp_math::primality_miller_rabin_test<Distribution> test2;
- Engine rng;
-
- explicit tester(const Engine& e) : rng(e) {}
-
- template<class A, class T>
- bool operator()(const boost::mp_math::mp_int<A,T>& p)
- {
- return test1(p) && test2(rng, p);
- }
-};
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(generate_safe_prime_128bits, mp_int_type, mp_int_types)
-{
- typedef tester<boost::mt19937, boost::mp_math::uniform_mp_int<mp_int_type> > tester_type;
- typedef boost::mp_math::uniform_mp_int_bits<mp_int_type> distribution_type;
-
- boost::mt19937 rng;
-
- boost::mp_math::safe_prime_generator<tester_type, distribution_type>
- generator(128U, tester_type(rng));
-
- const mp_int_type safe_prime = generator(rng);
-
- BOOST_CHECK_EQUAL(safe_prime.precision(), 128U);
-}
Deleted: sandbox/mp_math/libs/mp_math/test/random.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/random.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,79 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int1, mp_int_type, mp_int_types)
-{
- const mp_int_type min(0), max(128);
- boost::mp_math::uniform_mp_int<mp_int_type> g(min, max);
- boost::mt19937 e;
- for (int i = 0; i < 128; ++i)
- {
- const mp_int_type x = g(e);
- BOOST_REQUIRE_GE(x, min);
- BOOST_REQUIRE_LE(x, max);
- }
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int2, mp_int_type, mp_int_types)
-{
- const mp_int_type min(11), max("26546549");
- boost::mp_math::uniform_mp_int<mp_int_type> g(min, max);
- boost::mt19937 e;
- for (int i = 0; i < 1000; ++i)
- {
- const mp_int_type x = g(e);
- BOOST_REQUIRE_GE(x, min);
- BOOST_REQUIRE_LE(x, max);
- }
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits1, mp_int_type, mp_int_types)
-{
- BOOST_CHECK_EQUAL(
- boost::mp_math::uniform_mp_int_bits<mp_int_type>::has_fixed_range, false);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits2, mp_int_type, mp_int_types)
-{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(512);
- boost::mt19937 e;
- const mp_int_type x = g(e);
- BOOST_CHECK_EQUAL(x.precision(), 512U);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits3, mp_int_type, mp_int_types)
-{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(71);
- boost::mt19937 e;
- const mp_int_type x = g(e);
- BOOST_CHECK_EQUAL(x.precision(), 71U);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits4, mp_int_type, mp_int_types)
-{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(1001);
- boost::mt19937 e;
- const mp_int_type x = g(e);
- BOOST_CHECK_EQUAL(x.precision(), 1001U);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits5, mp_int_type, mp_int_types)
-{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(8);
- BOOST_CHECK_EQUAL(g.min(), 128U);
- BOOST_CHECK_EQUAL(g.max(), 255U);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits6, mp_int_type, mp_int_types)
-{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(11);
- BOOST_CHECK_EQUAL(g.min(), 1024U);
- BOOST_CHECK_EQUAL(g.max(), 2047U);
-}
-
-
Deleted: sandbox/mp_math/libs/mp_math/test/root.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/root.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,43 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("279841");
- const mp_int_type y = sqrt(x);
- BOOST_CHECK_EQUAL(y, "529");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("78310985281");
- const mp_int_type y = sqrt(x);
- BOOST_CHECK_EQUAL(y, "279841");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("85766121");
- const mp_int_type y = nth_root(x, 3);
- BOOST_CHECK_EQUAL(y, "441");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root2, mp_int_type, mp_int_types)
-{
- const mp_int_type x(
- "0x2b93d251afa09c5481f4522279f7c19ca08124199621dfd18342a16c7303b31ccea8176b"
- "d4a7a9bf991e30d8bde1e08356a728b9f5729c35d29884050101341228c5df3f98354d42b7"
- "a0d7fdfbe8d5270b09ee89ba1eeab61be67eb4471d92fdffa88d1ca494ed3eec58a34ff958"
- "b518a588584a2505c9c2b19ce1eb21cba36c7a5297cb6e532884e89451f4406b993582f3cd"
- "b75cab98f8c4c6f3837977db2a594dfa16943062187ca95babc9da78bdd73ca7233eefc047"
- "8d882e0d4f09a5083a31b801964343d47b6ce9e937df8c44a9a02bac5101da1823373e663c"
- "1329ece1eb89fc178355660fe1c92c7d8ff11524702fad6e2255447946442356b00810101");
- const mp_int_type y = nth_root(x, mp_int_type("257"));
- BOOST_CHECK_EQUAL(y, "257");
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/serialization.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/serialization.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,28 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <sstream>
-#include <boost/archive/text_oarchive.hpp>
-#include <boost/archive/text_iarchive.hpp>
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-#include <boost/mp_math/mp_int_serialization.hpp>
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(test_serialization1, mp_int_type, mp_int_types)
-{
- mp_int_type x("0x123456789abcdef257");
- mp_int_type y;
-
- std::stringstream s;
-
- boost::archive::text_oarchive oa(s);
- oa << x;
-
- boost::archive::text_iarchive ia(s);
- ia >> y;
-
- BOOST_CHECK_EQUAL(x, y);
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/shift.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/shift.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,49 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(left_shift1, mp_int_type, mp_int_types)
-{
- mp_int_type x("246556567891512374789511237456594795648912323213860000007849");
- x <<= 2;
- const mp_int_type y(
- "986226271566049499158044949826379182595649292855440000031396");
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(left_shift2, mp_int_type, mp_int_types)
-{
- mp_int_type x("246556567891512374789511237456594795648912323213860000007849");
- x <<= 99;
- const mp_int_type y(
- "156273790638943927367154966864556037925514287264587565911690950563681284"
- "261029491729498112");
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift1, mp_int_type, mp_int_types)
-{
- mp_int_type x("246556567891512374789511237456594795648912323213860000007849");
- x >>= 17;
- mp_int_type y(
- "1881077330715273855510797404911764493171022973738555908");
- BOOST_CHECK_EQUAL(x, y);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift2, mp_int_type, mp_int_types)
-{
- mp_int_type x("0");
- x >>= 17;
- BOOST_CHECK_EQUAL(x, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift3, mp_int_type, mp_int_types)
-{
- mp_int_type x("14222200");
- x >>= 8;
- BOOST_CHECK_EQUAL(x, "55555");
-}
Deleted: sandbox/mp_math/libs/mp_math/test/sqr.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/sqr.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,202 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("123456789");
- const mp_int_type y = x * x;
- BOOST_CHECK_EQUAL(y, "15241578750190521");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("25");
- const mp_int_type y = x * x;
- BOOST_CHECK_EQUAL(y, "625");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("300");
- const mp_int_type y = x * x;
- const mp_int_type z("90000");
- BOOST_CHECK_EQUAL(y, z);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("2228218");
- const mp_int_type y = x * x;
- BOOST_CHECK_EQUAL(y, "4964955455524");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("999998000001");
- const mp_int_type y = x * x;
- const mp_int_type z("999996000005999996000001");
- BOOST_CHECK_EQUAL(y, z);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr6, mp_int_type, mp_int_types)
-{
- // this tests toom squaring and karatsuba squaring for 8, 16 and 32 bit
- // digit_type
- const mp_int_type x(
- "0x5004a2519b00503006126bb044af8930502951243994250616123426085258764a856336"
- "35702406cff061642794728883255642074744145228324022219347019013411158803532"
- "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
- "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
- "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
- "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
- "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
- "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
- "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "9464098710748f27372836255355251ae330455ffaa58681216515eeff0330517814dd7487"
- "34682745159208158750835203309620570274592666481348052963762094268695162425"
- "18850320172906096781969070339129822281355221058882087466637338881223511228"
- "63144016884857141834687376804878770495858121023810198067988560350169566260"
- "5944107067ac5771a1662497b8b93cfe57291387313365462656674328aaaaaf9067287310"
- "ea6863ec68378827380764363420573208101547102942bf05465397209378421688020320"
- "35702406cff061642794728883255642074744145228324022219347019013411158803532"
- "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
- "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
- "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
- "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
- "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
- "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
- "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "18850320172906096781969070339129822281355221058882087466637338881223511228"
- "63144016884857141834687376804878770495858121023810198067988560350169566260"
- "59441070673981642057711662497893572913873133654626566743289483229067287310"
- "35702406cff061642794728883255642074744145228324022219347019013411158803532"
- "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
- "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
- "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
- "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
- "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
- "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
- "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
- "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
- "16863866837882738076436342057320810154710294295605465397209378421688020320"
- "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
- "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
- "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
- "f84c878148cc7020890befffaa4506cebbef9a3f7c67178f2");
-
- const mp_int_type y = x * x;
-
- const mp_int_type z(
- "0x1902e5887a586c505ed49b0ef0db72e959da458fbfe7f7f1738b9da657ebc6b4f3eeda8f3"
- "45f86a9439fb0a314af8a6d54e9002f6b9778bc217f31e1c2af869b890e50b105f2a6c8f6d4"
- "d9f7ce008697c1ef9f6b1b3d58089517db9a209f0951f3843c9f5dd81da8082a4e79771c9fe"
- "c7a967defed9c1d7229a9e6a78226389976caba3a3419a68d1376d7b67eb20136d1c47b480f"
- "446428ec425ddeb779492e6e40c2318633e6783066d046486a419676066b0fcacf9c9da24ef"
- "bb6ae2a639af668b9c732ed3ba74f4e73f28cffbc415d3a086decd149e1dd1f4265ede8666c"
- "2963f2ef61b190fb094730110586e73afc7656f6e8e3188767ee075b98cceff2de2959b3c51"
- "eb0cd03b5d277846536a3d5fa2baaff03d2ff90785581d170ad264d845d6e3522921afae94f"
- "13eda75f99694a961beff0495830b53f1b282d4fc5fa665a402cc253d71aa411a16c7cf3825"
- "6ff351d8e7f6c476d01ca3d39947a71703488cc0c85f7ce9ae7521e22ce4cb99e14dcaaaa69"
- "d8f1390f8c8275c899e8ec14b2fb9100bd8c4e44bc2d531f049a31583e11d73070a815efad7"
- "0e28caa18cd89a7e4bb1a17a961ae011511fe3ef495ae1c8e44653a73c6434ee77b242f7d9a"
- "462613b92a5809da93c6d687222abf79b09a718fdf7787c7aff48b1e529da53898273abab56"
- "00d67781a15c06e3741c79948cecbd3cd24414d40b0087844c9271bae8d470571a4e87309f9"
- "ba510ef32c2def3e29f0f342f9a6f50fb00ee16159d0de74dfc85baf97c861a1ae63aca48b7"
- "b2c3830ae11aa818f6da2a3cc74b5c2d0c635c9dd6d9fc5b9d35e46f8a53b93724e112a140e"
- "cdee10eeaefa830d4678d06e1f3426abba1c9f76415ed479bee5160a8a5fcf9d5803552ca5a"
- "810ea290fab7df557d9687af8782413fd04bf41454eae63c470ab231186c7aaf88b7e8de2ef"
- "5e04cc8f9738f42ab5c8f993d13f8051765d4369709e54d24ec5e14138d1fe7ac81b311eb42"
- "b0c35deebd10a3f5a60535870eeebd8662d11844ae4b39507232787d04e3c214e5b73b7b280"
- "3395fd5a5c0c373cf2dbe76a2972e3bbaf6ff166c8134ad831ed000a4c4d5e615b74d697f8c"
- "2be9fd8326e1aa352bcdb5ba460a0d34f750de03701e98ea43969c5b3b9de3e7bb562a320de"
- "b10d1c8671b523611ffe7c2da353a1d3b86cf1c4d34d3347d02337e0656b9b39c8fe1f961f3"
- "b5919df4469e895d3869590c042d6f881d9781c413613f6c5a22fd9cd24c906582e143b04b7"
- "a09aefeed701bbf92687e995cc56578784b96c5a7a648d5c166c3b7c9a0c2df9c0166bf00b8"
- "55c1f6e236ac96484638733eb9e84ccc4ccb33a49399e5057bd2d96ca51133496d5283a2085"
- "56aa7f2b3264678f99f7cf5380bd61180230870ae35c00d272ec73d960ead550b29730a42a1"
- "051e825890ec2283cf0de984af072a2125fd4ff692e47ef620b24a952c37ea379444061869c"
- "aec75d2836afff972e54255daa9069f4c51f5bdb8ada41d3907fb5581dc7289d50577663616"
- "464fc8b3f99676dd67bb93358a897feadd7a92336a0f4af44c9325fc53ba1d87f7b914e4847"
- "462109cba84ad8498cd717c503d4c363b8ff405df44fa84bc9c8bed141c7f91954098b2ecb8"
- "b59fc457ec86022bf6c395bb382f6a193e3387d52f3e1978af4576153fa7fb60d5b896cef43"
- "e628045ec0577971b78e7ab1b3a9fa9ea6cc8e4a04f141e744f70fe0c800ce5dd3c748729c6"
- "efa085877a7d9296ad489883ee966117e5db61bafbcd55284dc8d470646473761ec606357bb"
- "fed899cd7c69e027656ef30b12e8a9e63868048bae95c7b67d26a843c94cec551ed5093542b"
- "ff7437316a830e3c48f19491a81fb37aef5d89ee08b507b881e65fbf8dd3343e58b63ea3a2b"
- "d465e02c5cb673e5c8cced17f5d3f9fad8307cd6c3abf9111e063fb197df4db52eac6092229"
- "64e157a1b172004c1817162e688b55245c598cbdc5fd9f74db4911484feb5a390c27d0efeb3"
- "a8bc21ff9dec02808fad5f882580facb5324a4f3a21b75c23cc311be7afe003895351fd07fa"
- "c037d67718cc11aa5942837ee9048882e2564b625689ee3bd9487c4ec43f562508bbcd0671c"
- "18434ca6ae92725d905210060d80e2524eb38ed600aeaf486d7b2b690a9f567d86444c35fd9"
- "8bdf6b665dbf7e43557b281a792400274ca21fec996e5e6142780f8a7adcddbae4a2e9474a1"
- "38931c19f96368bb2bc40aace10616bef5c975feca3c7f3e1122b41a39df9202a7a6405c647"
- "d032f8c692e1e89838fc1dacb291d9e2d8ee90d88b6f598947d085289f9c4247548628a9e3f"
- "6ea8ac5980e290749e39a9417b20f39dbbbed20209584a741747771020b2287007b37d17779"
- "21303e3b7a9ee49db7b14dda965d9241548387e610758507c946eee0c49b67efaeedbe64e6b"
- "114e3b4ddff5edd2050322d8298ae66388b1fb64435fa064364f41f129ce83a0cc563f8796e"
- "1dd09be1a03bc5567caed9326df5714f6cf88ca247826ce93add7d17332d6870b1d0613a4fd"
- "fd4c7d8185db385687d735d0bf22e87a045ad2a397db9c4ee0908a047f087a0fb49a27f65d0"
- "e6e6ef0ef506d1411788ac027c29be3e93253e61ee76f951d3ce721c825bf5b883471f91f68"
- "a37ca36d198adf93063e220a16b94e9aaca5c4691590ff2a696c1663b5ca69e3f3a11409cf9"
- "727cf409a1f87a0a5e4805008c7488b7c9e23c42e33bfb0fab7e4f59e482ec50aa1b4d64996"
- "4e7232c26acb75217ef1b200ebde38169d6ce7aeb2746aa29249d61af1e168a256e1848cb33"
- "873c5457afd48194f77c786bcd8ce842605117c66b003abc05fb9b74869cc832c88df506e0e"
- "79ebb0436443fb467269e42840a0486b3f35acca04b000876b9bf2c6a7f09ec6ff7ce198f8f"
- "584e3e22b4a2e8279c1a043899fe0d2e5180ec1738b1cb23032374069b33a471fdd8e5f5be2"
- "a4ff945697d9dc540878bc6a6704cb8b866914fbce94021bc2e6743dc7e160a8780912a90ff"
- "732a81b060d97f777713881e9214474e1196ff13f07361385e19e5c5ffa24aa6b00f473cfd3"
- "e71c42ed1c31eb9b5ec91635bf8c77e7aff696009da2163c7e1621bea9b30479a8e10906d3e"
- "1ba06f3e64e776a62164238d18cebaf9684427fe8e5930fbd8892851c8cfa4e2c729558b909"
- "a665f57919565d834fbebb0d64ba1721b083ca6fe55dab07546df6c1e60ab41f4836f64c27c"
- "4f715764a472f01d947cbf8d3cd8e011129edecca4334b095edf3d37e27b7c30900eac3702c"
- "3e09179a53462cda8dece1ecdda223d6cc32c9363f5123982b071367609b01bcfccfd4a0120"
- "23b4dfacb5993d04434aac5a95e0192770206b4a3bdcb3a75013daedf68ed40cfca0e4bd802"
- "4906ff8cc816d7bf556898545965b846f2b1dda3216d17d236e4ba5d2427ee799696c60297a"
- "c720adacd63da47e2e3aeeb99c136e1b5de50cfe523823a87f94b1b4b8f6be2162ea40441dc"
- "2f9af466c7642d0ef34429a986ae96e962e4a2cd9c12a41d71398ac03c990a15364c38a3bd9"
- "af6605d1c9b807babd942bd66d2f6e4ccfaa2131354cf78aa09ffcec32258c9c3b53fbcc755"
- "5bfeb11152332bef6420b08528d43f6865c5d53ade958d3b58dfe2f34391ea8d2d8fb35c32e"
- "6a8f569d6cc9d456ff5b78fae829cc171f95f5389373a0dee3565a428237ec4e68b6e6efc3c"
- "a5bd220699eb80bd498d2ea90d43b901881567e9c18898caea36334008b4a08e3e6cbda4e17"
- "db7f5187d6f3284eca8c1a03faa28a2a23b27d560690642db0ea485e4be8c1c8b4441234f39"
- "f31a6c9fe5cc7e50c777acd0746bbfb7399ee262a36a54a8ee25c334e503dcd6e00f7e9ac3a"
- "80495156af9f9aaac62fe02c4c2373cc03d32c4be1b077d97f6167413661403a38b0df999d0"
- "24701c5f17e5e5701cf9b9eccd9417af7637139473aab760b7ecafa863e7f049a6b98be603b"
- "6bf0132b211b80123246c657cfdbb4b5dff7be43c364be943b5cdf03db86a6cd56a96187cb4"
- "5b6acbf37383ca3fe7c9cc3b65a57c9ea6f4d686222801ce6d1463bb92ff5f2599619388660"
- "99365474bbcba180f940ede8a02777bcf55d3549cfcd819aca8f055074d81af6472c3c9beaa"
- "67b8f89066f1e02d1502aa13a4c872b9b1dc4e2a2b6d58eaa869c9e62a9f7e01efc2c87eb6a"
- "9bc80d29c9c48a10edec1e5a799aeff2a580736525357ae40d677aa4fb6533c15b4afed1fde"
- "f6e0e4c0a548c5be8751da42ffd8b409dcd77487437a16d769e232c95d0b780a46395ea0023"
- "6cf19b1fafbda1c8c75aee09e06bcf0383816d0f9c364baa95a09fe2e2894693fc66166a16a"
- "e152a24dfc5ca3646ce2cafe40a7ffbeb561ae4db74dc7ff045e85a9126a25152f0342d1f87"
- "3ecb21bc411771eb7589f3df1be59fa97156ca5d3c93a7df10b90c525e25df36e7947614770"
- "1f9ab2a368b179428ad005c7af2fb500fac032f0f1ff3f9694412d3c164fcc444075135fd9d"
- "a58e2fab3ebf7b5fcaaf20256052e64b59c92db1cd3c2e0c2df41b06a540a754d349a284fa1"
- "45a13795674240616f433d174fc67dda102db9e9e3bf23d4a8816ad130bca720ef707606206"
- "7ab36f2061261981528dfdcaa3e21787f164e6ba318bb018f3974540ae8559790284852d31a"
- "d8c77066f8620345f099606eced7f93e465b3a31a7b196b24e76a44d7ec6f597fb4a3a9a1a8"
- "ba5611156e20c294b90cdde30166ee59c0c80936e992e5f3185c6396756194a7c8f1971a0b8"
- "27477b2060dfe721fd0c2e725e25cc99d1227c6db9d5452dd70dbb0c2db67187a4e93c9bcfa"
- "0049fad1289773ea6ffdcf6e6680a44cd577223b8f86eae3568ee5cd0b2f45a17f7b6d7531c"
- "925e2c22b4004fd8e12ab70e2392e190dab556c0227b660cc226f5db558668bcb426a8153bc"
- "32af18b8c7dbe3c2ad210300582f823fc5fd7aadc653c2c0b59b3e5362b158793485e56c7c4"
- "c4");
-
- BOOST_CHECK_EQUAL(y, z);
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/stream_io.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/stream_io.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,124 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(dec_output, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1024");
- std::ostringstream os;
- os << x;
- BOOST_CHECK_EQUAL(os.str(), "1024");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(dec_output_w_showbase, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1024");
- std::ostringstream os;
- os.setf(std::ios_base::showbase);
- os << x;
- BOOST_CHECK_EQUAL(os.str(), "1024");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(oct_output, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1024");
- std::ostringstream os;
- os.setf(std::ios_base::oct, std::ios_base::basefield);
- os << x;
- BOOST_CHECK_EQUAL(os.str(), "2000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(oct_output_w_showbase, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1024");
- std::ostringstream os;
- os.setf(std::ios_base::oct, std::ios_base::basefield);
- os.setf(std::ios_base::showbase);
- os << x;
- BOOST_CHECK_EQUAL(os.str(), "02000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1024");
- std::ostringstream os;
- os.setf(std::ios_base::hex, std::ios_base::basefield);
- os << x;
- BOOST_CHECK_EQUAL(os.str(), "400");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1024");
- std::ostringstream os;
- os.setf(std::ios_base::hex, std::ios_base::basefield);
- os.setf(std::ios_base::showbase);
- os << x;
- BOOST_CHECK_EQUAL(os.str(), "0x400");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase_and_uppercase, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0xabcdef0");
- std::ostringstream os;
- os.setf(std::ios_base::hex, std::ios_base::basefield);
- os.setf(std::ios_base::showbase | std::ios_base::uppercase);
- os << x;
- BOOST_CHECK_EQUAL(os.str(), "0XABCDEF0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase_and_showpos, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1024");
- std::ostringstream os;
- os.setf(std::ios_base::hex, std::ios_base::basefield);
- os.setf(std::ios_base::showbase | std::ios_base::showpos);
- os << x;
- BOOST_CHECK_EQUAL(os.str(), "+0x400");
-}
-
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(dec_input1, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- std::stringstream s;
- s << "-123456";
- s >> x;
- BOOST_CHECK_EQUAL(x, "-123456");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(dec_input2, mp_int_type, mp_int_types)
-{
- mp_int_type x, y;
- std::stringstream s;
- s << "-123456";
- s << " " << "987654321";
- s >> x;
- BOOST_CHECK_EQUAL(x, "-123456");
- BOOST_REQUIRE(s.good());
- s >> y;
- BOOST_CHECK_EQUAL(y, "987654321");
- BOOST_CHECK(s.good());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(oct_input, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- std::stringstream s;
- s << "0123456";
- s >> x;
- BOOST_CHECK_EQUAL(x, "0123456");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_input, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- std::stringstream s;
- s << "0xFFFFAB01";
- s >> x;
- BOOST_CHECK_EQUAL(x, "0xFFFFAB01");
-}
Deleted: sandbox/mp_math/libs/mp_math/test/string_ops.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/string_ops.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,151 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0xabcdef123456789");
- const std::string s =
- x.template to_string<std::string>(std::ios::hex | std::ios::showbase);
- BOOST_CHECK_EQUAL(s, "0xabcdef123456789");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("12345678901234567890");
- const std::string s = x.template to_string<std::string>();
- BOOST_CHECK_EQUAL(s, "12345678901234567890");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0xabcdef123456789");
- const std::string s = x.template to_string<std::string>(
- std::ios::hex | std::ios::showbase | std::ios::uppercase);
- BOOST_CHECK_EQUAL(s, "0XABCDEF123456789");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string4, mp_int_type, mp_int_types)
-{
- const mp_int_type x("76484675");
- const std::string s = x.template to_string<std::string>(std::ios::oct);
- BOOST_CHECK_EQUAL(s, "443610103");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1024");
- const std::string s = x.template to_string<std::string>(std::ios::oct);
- BOOST_CHECK_EQUAL(s, "2000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string6, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const std::string s =
- x.template to_string<std::string>(
- std::ios_base::dec | std::ios_base::showbase | std::ios_base::showpos);
- BOOST_CHECK_EQUAL(s, "+0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string7, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0");
- const std::string s =
- x.template to_string<std::string>(
- std::ios_base::oct | std::ios_base::showbase | std::ios_base::showpos);
- BOOST_CHECK_EQUAL(s, "+0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string8, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-0");
- const std::string s =
- x.template to_string<std::string>(
- std::ios_base::oct | std::ios_base::showbase | std::ios_base::showpos);
- BOOST_CHECK_EQUAL(s, "+0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string9, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-1");
- const std::string s =
- x.template to_string<std::string>(
- std::ios_base::hex | std::ios_base::showbase | std::ios_base::showpos);
- BOOST_CHECK_EQUAL(s, "-0x1");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string10, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x95a6801ce5292b9a8410e1a59dd29967");
- const std::string s =
- x.template to_string<std::string>(std::ios_base::hex);
- BOOST_CHECK_EQUAL(s, "95a6801ce5292b9a8410e1a59dd29967");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string11, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0x12471fa56d6");
- const std::string s = x.template to_string<std::string>();
- BOOST_CHECK_EQUAL(s, "1256042682070");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign1, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x = "269513460";
- BOOST_CHECK_EQUAL(x, "269513460");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign2, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x = "0xabcdef123456789";
- BOOST_CHECK_EQUAL(x, "0xabcdef123456789");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign3, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x = "012345676543210000001";
- BOOST_CHECK_EQUAL(x, "012345676543210000001");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign4, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x = "0";
- BOOST_CHECK_EQUAL(!x, true);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign5, mp_int_type, mp_int_types)
-{
- mp_int_type x("0xabcedf03030303");
- x = "-012345676543210000001";
- BOOST_CHECK_EQUAL(x, "-012345676543210000001");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(assign1, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x.assign("123456789876543210000001", std::ios::dec);
- BOOST_CHECK_EQUAL(x, "123456789876543210000001");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(assign2, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x.assign("abcdefabcdef1234567890", std::ios::hex);
- BOOST_CHECK_EQUAL(x, "0xabcdefabcdef1234567890");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(assign3, mp_int_type, mp_int_types)
-{
- mp_int_type x("-564897123123456456789789789897");
- x.assign("1234567000000000000000000000000077", std::ios::oct);
- BOOST_CHECK_EQUAL(x, "01234567000000000000000000000000077");
-}
Deleted: sandbox/mp_math/libs/mp_math/test/sub.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/sub.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,132 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub1, mp_int_type, mp_int_types)
-{
- const mp_int_type x("123456");
- const mp_int_type y("987777");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "-864321");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub2, mp_int_type, mp_int_types)
-{
- const mp_int_type x("955588990000001");
- const mp_int_type y("9801");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "955588989990200");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub3, mp_int_type, mp_int_types)
-{
- const mp_int_type x("99999991");
- const mp_int_type y("987654321000123456789");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "-987654321000023456798");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub4, mp_int_type, mp_int_types)
-{
- const mp_int_type x(
- "49144609407766890328547643707523663509662747376486271392344480900673178645"
- "33198519112197059826509662943577383543858946941049753393431035706592040680"
- "43848484065292542884106550381079282660840705126574766636237650938379223350"
- "073087806800887586256085275775217219429527000017403144");
- const mp_int_type y(
- "49144609407766890328547643707523663509662747376486271392344480900673178645"
- "33198519112197059826509662943577383543858946941049753393431035706592040680"
- "43848484065292542884106550381079282660840705126574766636237650938379223350"
- "073087806800887586256085275775217219429527000017403144");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub5, mp_int_type, mp_int_types)
-{
- const mp_int_type x(
- "21665907282124706187656074325458499695895652068822763794228458103499408841");
- const mp_int_type y(
- "173087806800887586256085275775299999999889978789789");
- const mp_int_type z = x - y;
- const mp_int_type w(
- "21665907282124706187655901237651698808309395983546988494228458213520619052");
- BOOST_CHECK_EQUAL(z, w);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub6, mp_int_type, mp_int_types)
-{
- const mp_int_type x("0xff");
- const mp_int_type y("0x1000ff0000000");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "-0x1000fefffff01");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub7, mp_int_type, mp_int_types)
-{
- const mp_int_type x("1000000");
- const mp_int_type y("-1000000");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "2000000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub8, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-1000000");
- const mp_int_type y("1000000");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "-2000000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub9, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-123456789");
- const mp_int_type y("-123456789");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub10, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-1000000");
- const mp_int_type y("-2500000");
- const mp_int_type z = x - y;
- BOOST_CHECK_EQUAL(z, "1500000");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(decrement1, mp_int_type, mp_int_types)
-{
- mp_int_type x("0");
- for (int i = 0; i < 10; ++i)
- --x;
- BOOST_CHECK_EQUAL(x, "-10");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(decrement2, mp_int_type, mp_int_types)
-{
- mp_int_type x("4");
- for (int i = 0; i < 10; ++i)
- --x;
- BOOST_CHECK_EQUAL(x, "-6");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(decrement3, mp_int_type, mp_int_types)
-{
- mp_int_type x("-120");
- for (int i = 0; i < 10; ++i)
- --x;
- BOOST_CHECK_EQUAL(x, "-130");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(decrement4, mp_int_type, mp_int_types)
-{
- mp_int_type x("130");
- for (int i = 0; i < 10; ++i)
- --x;
- BOOST_CHECK_EQUAL(x, "120");
-}
-
Deleted: sandbox/mp_math/libs/mp_math/test/to_integral.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/to_integral.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,136 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <boost/test/unit_test.hpp>
-#include "prerequisite.hpp"
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_char1, mp_int_type, mp_int_types)
-{
- mp_int_type x("123");
- char z = x.template to_integral<char>();
- BOOST_CHECK_EQUAL(z, 123);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_char2, mp_int_type, mp_int_types)
-{
- mp_int_type x("-123");
- char z = x.template to_integral<char>();
- BOOST_CHECK_EQUAL(z, -123);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_char_min, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<char>::min());
- char z = x.template to_integral<char>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<char>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_char_max, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<char>::max());
- int z = x.template to_integral<char>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<char>::max());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_char_min, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<unsigned char>::min());
- unsigned char z = x.template to_integral<unsigned char>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned char>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_char_max, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<unsigned char>::max());
- unsigned char z = x.template to_integral<unsigned char>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned char>::max());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_int_min, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<int>::min());
- int z = x.template to_integral<int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_int_max, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<int>::max());
- int z = x.template to_integral<int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::max());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_int_min, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<unsigned int>::min());
- unsigned int z = x.template to_integral<unsigned int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned int>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_int_max, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<unsigned int>::max());
- unsigned int z = x.template to_integral<unsigned int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned int>::max());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_int_min, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<long int>::min());
- long int z = x.template to_integral<long int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<long int>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_int_max, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<long int>::max());
- long int z = x.template to_integral<long int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<long int>::max());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_int_min, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<unsigned long int>::min());
- unsigned long int z = x.template to_integral<unsigned long int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long int>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_int_max, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<unsigned long int>::max());
- unsigned long int z = x.template to_integral<unsigned long int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long int>::max());
-}
-
-#ifdef BOOST_HAS_LONG_LONG
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_long_int_min, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<long long int>::min());
- long long int z = x.template to_integral<long long int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<long long int>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_long_int_max, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<long long int>::max());
- long long int z = x.template to_integral<long long int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<long long int>::max());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_long_int_min, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<unsigned long long int>::min());
- unsigned long long int z = x.template to_integral<unsigned long long int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long long int>::min());
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_long_int_max, mp_int_type, mp_int_types)
-{
- mp_int_type x(std::numeric_limits<unsigned long long int>::max());
- unsigned long long int z = x.template to_integral<unsigned long long int>();
- BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long long int>::max());
-}
-#endif
-
Deleted: sandbox/mp_math/libs/mp_math/test/traits.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/test/traits.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
+++ (empty file)
@@ -1,39 +0,0 @@
-// Copyright Kevin Sopp 2008.
-// Distributed under the Boost Software License, Version 1.0.
-// (See accompanying file LICENSE_1_0.txt or copy at
-// http://www.boost.org/LICENSE_1_0.txt)
-
-#include <vector>
-#include <boost/test/unit_test.hpp>
-#include <boost/mp_math/mp_int.hpp>
-
-BOOST_AUTO_TEST_CASE(check_digit_type_and_word_type)
-{
- typedef boost::mp_math::mp_int<> mp_int_type;
-
- std::vector<int> x;
- x.push_back(std::numeric_limits<unsigned char>::digits);
- x.push_back(std::numeric_limits<unsigned short>::digits);
- x.push_back(std::numeric_limits<unsigned int>::digits);
- x.push_back(std::numeric_limits<unsigned long int>::digits);
- #ifdef BOOST_HAS_LONG_LONG
- x.push_back(std::numeric_limits<unsigned long long int>::digits);
- #endif
-
- const int word_type_digits = x.back();
-
- std::vector<int>::const_reverse_iterator it;
- for (it = x.rbegin(); it != x.rend(); ++it)
- {
- if (*it <= word_type_digits / 2)
- break;
- }
-
- const int digit_type_digits = *it;
-
- BOOST_CHECK_EQUAL(digit_type_digits,
- std::numeric_limits<mp_int_type::digit_type>::digits);
- BOOST_CHECK_EQUAL(word_type_digits,
- std::numeric_limits<mp_int_type::word_type>::digits);
-}
-
Added: sandbox/mp_math/libs/mp_math/test/unbounded/signed/abs.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/abs.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,15 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(abs1, int_type, IntTypes)
+{
+ const int_type x("-0x123abdddfe4983");
+ const int_type y = boost::mp_math::abs(x);
+ BOOST_CHECK_EQUAL(y, "0x123abdddfe4983");
+}
+
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/add.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/add.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/add.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/add.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,117 +6,145 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_assign1, int_type, IntTypes)
{
- mp_int_type x("123456");
- mp_int_type y("987777");
- mp_int_type z = x + y;
+ int_type x("0xffffffff");
+ const int_type y("0xffffffffffffffff");
+ x += y;
+ BOOST_CHECK_EQUAL(x, "0x100000000fffffffe");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers1, int_type, IntTypes)
+{
+ const int_type x("123456");
+ const int_type y("987777");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "1111233");
- x = 999U;
- y = 123456U;
- z = x + y;
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers2, int_type, IntTypes)
+{
+ const int_type x("999");
+ const int_type y("123456");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "124455");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers3, int_type, IntTypes)
{
- const mp_int_type x("21474836470");
- const mp_int_type y("1234567845600");
- const mp_int_type z = x + y;
+ const int_type x("21474836470");
+ const int_type y("1234567845600");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "1256042682070");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers4, int_type, IntTypes)
{
- const mp_int_type x("0xffffffffffffffff");
- const mp_int_type y("0xffffffffffffffff");
- const mp_int_type z = x + y;
+ const int_type x("0xffffffffffffffff");
+ const int_type y("0xffffffffffffffff");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "0x1fffffffffffffffe");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers5, int_type, IntTypes)
{
- const mp_int_type x("0xffffffffffffffff");
- const mp_int_type y("0xffffffff");
- const mp_int_type z = x + y;
+ const int_type x("0xffffffffffffffff");
+ const int_type y("0xffffffff");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "0x100000000fffffffe");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_negative_numbers, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_negative_numbers1, int_type, IntTypes)
{
- const mp_int_type x("-123456");
- const mp_int_type y("-987777");
- const mp_int_type z = x + y;
+ const int_type x("-123456");
+ const int_type y("-987777");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "-1111233");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_negative_numbers2, int_type, IntTypes)
{
- const mp_int_type x("-123456");
- const mp_int_type y("987777");
- const mp_int_type z = x + y;
+ const int_type x("-12345678900000000");
+ const int_type y("-987777");
+ const int_type z = x + y;
+ BOOST_CHECK_EQUAL(z, "-12345678900987777");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_negative_numbers3, int_type, IntTypes)
+{
+ const int_type x("-987777");
+ const int_type y("-12345678900000000");
+ const int_type z = x + y;
+ BOOST_CHECK_EQUAL(z, "-12345678900987777");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers1, int_type, IntTypes)
+{
+ const int_type x("-123456");
+ const int_type y("987777");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "864321");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers2, int_type, IntTypes)
{
- const mp_int_type x("123456");
- const mp_int_type y("-987777");
- const mp_int_type z = x + y;
+ const int_type x("123456");
+ const int_type y("-987777");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "-864321");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers3, int_type, IntTypes)
{
- const mp_int_type x("-123456");
- const mp_int_type y("123456");
- const mp_int_type z = x + y;
+ const int_type x("-123456");
+ const int_type y("123456");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers4, int_type, IntTypes)
{
- const mp_int_type x("123456");
- const mp_int_type y("-123456");
- const mp_int_type z = x + y;
+ const int_type x("123456");
+ const int_type y("-123456");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers5, int_type, IntTypes)
{
- const mp_int_type x("1000");
- const mp_int_type y("-12345678901000");
- const mp_int_type z = x + y;
+ const int_type x("1000");
+ const int_type y("-12345678901000");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "-12345678900000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers6, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_mixed_numbers6, int_type, IntTypes)
{
- const mp_int_type x("-12345678901000");
- const mp_int_type y("1000");
- const mp_int_type z = x + y;
+ const int_type x("-12345678901000");
+ const int_type y("1000");
+ const int_type z = x + y;
BOOST_CHECK_EQUAL(z, "-12345678900000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_large_and_small, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_large_and_small, int_type, IntTypes)
{
- mp_int_type x("123456789");
- mp_int_type y("123");
- mp_int_type z = x + y;
+ int_type x("123456789");
+ int_type y("123");
+ int_type z = x + y;
BOOST_CHECK_EQUAL(z, "123456912");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_small_and_large, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_small_and_large, int_type, IntTypes)
{
- mp_int_type x("123");
- mp_int_type y("123456789");
- mp_int_type z = x + y;
+ int_type x("123");
+ int_type y("123456789");
+ int_type z = x + y;
BOOST_CHECK_EQUAL(z, "123456912");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_large_and_large, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_large_and_large, int_type, IntTypes)
{
- mp_int_type x(
+ int_type x(
"76563204409879018101322737668344063995824904757312285775560614771886933079"
"77822556905976720912850551355328340715074887289899094852653102687850101285"
"85715275531977696497398396067715769512450915961775500023723324150851793075"
@@ -131,8 +159,8 @@
"33198519112197059826509662943577383543858946941049753393431035706592040680"
"43848484065292542884106550381079282660840705126574766636237650938379223350"
"073087806800887586256085275775217219429527000017403144");
-
- mp_int_type y(
+
+ int_type y(
"29156720459736055974643337783563754269574952607968485689453462316428566668"
"95504701770860331979649536167161534866285341319360225416010322271645564229"
"97610536562445338176729838019564690253931232562709745122032537539983616770"
@@ -156,7 +184,7 @@
"97887027262726591236620461428328000537452828616386217063092509908555188454"
"27278763741671312528892659532960085933913140197210561287118971031419725940"
"702202830556069344716729071140147820999566475298895832");
- mp_int_type z = x + y;
+ int_type z = x + y;
BOOST_CHECK_EQUAL(z,
"29156720459736055974643337783563754269574952607968485689453462316428566668"
"95504701770860331979649536167161534866285341319360225416010322271645564229"
@@ -183,33 +211,33 @@
"775290637356956930972814346915365040429093475316298976");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(increment1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(increment1, int_type, IntTypes)
{
- mp_int_type x("0");
+ int_type x("0");
for (int i = 0; i < 10; ++i)
++x;
BOOST_CHECK_EQUAL(x, "10");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(increment2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(increment2, int_type, IntTypes)
{
- mp_int_type x("-4");
+ int_type x("-4");
for (int i = 0; i < 10; ++i)
++x;
BOOST_CHECK_EQUAL(x, "6");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(increment3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(increment3, int_type, IntTypes)
{
- mp_int_type x("-130");
+ int_type x("-130");
for (int i = 0; i < 10; ++i)
++x;
BOOST_CHECK_EQUAL(x, "-120");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(increment4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(increment4, int_type, IntTypes)
{
- mp_int_type x("120");
+ int_type x("120");
for (int i = 0; i < 10; ++i)
++x;
BOOST_CHECK_EQUAL(x, "130");
Added: sandbox/mp_math/libs/mp_math/test/unbounded/signed/assign.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/assign.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,120 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign_zero, int_type, IntTypes)
+{
+ int_type x;
+ x = "0";
+ BOOST_CHECK_EQUAL(!x, true);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign_dec1, int_type, IntTypes)
+{
+ int_type x;
+ x = "269513460000009900000000";
+ BOOST_CHECK_EQUAL(x, "269513460000009900000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign_dec2, int_type, IntTypes)
+{
+ int_type x;
+ x = "-269513460000009900000000";
+ BOOST_CHECK_EQUAL(x, "-269513460000009900000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign_oct1, int_type, IntTypes)
+{
+ int_type x;
+ x = "012345676543210000001";
+ BOOST_CHECK_EQUAL(x, "012345676543210000001");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign_oct2, int_type, IntTypes)
+{
+ int_type x;
+ x = "-012345676543210000001";
+ BOOST_CHECK_EQUAL(x, "-012345676543210000001");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign_hex1, int_type, IntTypes)
+{
+ int_type x;
+ x = "0xabcdef123456789000000000005000000000000007ffffff";
+ BOOST_CHECK_EQUAL(x, "0xabcdef123456789000000000005000000000000007ffffff");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign_hex2, int_type, IntTypes)
+{
+ int_type x;
+ x = "-0xabcdef123456789000000000005000000000000007ffffff";
+ BOOST_CHECK_EQUAL(x, "-0xabcdef123456789000000000005000000000000007ffffff");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign_hex3, int_type, IntTypes)
+{
+ int_type x;
+ x = "-0xABCDEF00000123456798EEEEEEEEEE";
+ BOOST_CHECK_EQUAL(x, "-0xABCDEF00000123456798EEEEEEEEEE");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign_hex4, int_type, IntTypes)
+{
+ int_type x;
+ x = "-0Xabcdef00000123456798eeeeeeeeee";
+ BOOST_CHECK_EQUAL(x, "-0Xabcdef00000123456798eeeeeeeeee");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign1, int_type, IntTypes)
+{
+ int_type x("-0x1");
+ x = "0123456765432100000000000000000000001";
+ BOOST_CHECK_EQUAL(x, "0123456765432100000000000000000000001");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign2, int_type, IntTypes)
+{
+ int_type x("-0xabcedf0303030300000000000000");
+ x = "01";
+ BOOST_CHECK_EQUAL(x, "01");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign3, int_type, IntTypes)
+{
+ int_type x("0xabcedf0303030300000000000000");
+ x = "-500";
+ BOOST_CHECK_EQUAL(x, "-500");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign4, int_type, IntTypes)
+{
+ int_type x("0x0");
+ x = "-0x500aaaaaaaaaaaa000000";
+ BOOST_CHECK_EQUAL(x, "-0x500aaaaaaaaaaaa000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(assign1, int_type, IntTypes)
+{
+ int_type x;
+ x.assign("123456789876543210000001", std::ios::dec);
+ BOOST_CHECK_EQUAL(x, "123456789876543210000001");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(assign2, int_type, IntTypes)
+{
+ int_type x;
+ x.assign("abcdefabcdef1234567890", std::ios::hex);
+ BOOST_CHECK_EQUAL(x, "0xabcdefabcdef1234567890");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(assign3, int_type, IntTypes)
+{
+ int_type x("-564897123123456456789789789897");
+ x.assign("1234567000000000000000000000000077", std::ios::oct);
+ BOOST_CHECK_EQUAL(x, "01234567000000000000000000000000077");
+}
+
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/bitmanipulation.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/bitmanipulation.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/bitmanipulation.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/bitmanipulation.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -6,113 +6,118 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits1, int_type, IntTypes)
{
- mp_int_type x("0xff00000000ff");
+ int_type x("-0xff00000000ff");
x.set_bits(8, 40);
- BOOST_CHECK_EQUAL(x, "0xffffffffffff");
+ BOOST_CHECK_EQUAL(x, "-0xffffffffffff");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits2, int_type, IntTypes)
{
- mp_int_type x("0x8000");
+ int_type x("0x8000");
x.set_bits(2, 7);
BOOST_CHECK_EQUAL(x, "0x807c");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits3, int_type, IntTypes)
{
- mp_int_type x("0x80000000000000");
+ int_type x("0x80000000000000");
x.set_bits(12, 13);
BOOST_CHECK_EQUAL(x, "0x80000000001000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits4, int_type, IntTypes)
{
- mp_int_type x("0x8000000000000000");
+ int_type x("-0x8000000000000000");
x.set_bits(0, 18);
- BOOST_CHECK_EQUAL(x, "0x800000000003FFFF");
+ BOOST_CHECK_EQUAL(x, "-0x800000000003FFFF");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits5, int_type, IntTypes)
{
- mp_int_type x("0x80000000");
+ int_type x("0x80000000");
x.set_bits(8, 16);
BOOST_CHECK_EQUAL(x, "0x8000FF00");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits1, int_type, IntTypes)
{
- mp_int_type x("0xffffffffffff");
+ int_type x("0xffffffffffff");
x.clear_bits(8, 40);
BOOST_CHECK_EQUAL(x, "0xff00000000ff");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits2, int_type, IntTypes)
{
- mp_int_type x("0x807c");
+ int_type x("0x807c");
x.clear_bits(2, 7);
BOOST_CHECK_EQUAL(x, "0x8000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits3, int_type, IntTypes)
{
- mp_int_type x("0x80000000001000");
+ int_type x("0x80000000001000");
x.clear_bits(12, 13);
BOOST_CHECK_EQUAL(x, "0x80000000000000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits4, int_type, IntTypes)
{
- mp_int_type x("0x800000000003FFFF");
+ int_type x("0x800000000003FFFF");
x.clear_bits(0, 18);
BOOST_CHECK_EQUAL(x, "0x8000000000000000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits5, int_type, IntTypes)
{
- mp_int_type x("0x8000FF00");
+ int_type x("0x8000FF00");
x.clear_bits(8, 16);
BOOST_CHECK_EQUAL(x, "0x80000000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits6, int_type, IntTypes)
{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
- x.truncate(32);
+ int_type x("-0xffffffffffffffffffff");
+ x.clear_bits(0, 80);
x.clamp();
+ if (!x)
+ x.set_sign_bit(0);
+ BOOST_CHECK_EQUAL(x, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate1, int_type, IntTypes)
+{
+ int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
+ x.truncate(32);
BOOST_CHECK_EQUAL(x, "0xFFFFFFFF");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate2, int_type, IntTypes)
{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
+ int_type x("-0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
x.truncate(0);
- x.clamp();
BOOST_CHECK_EQUAL(x, "");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate3, int_type, IntTypes)
{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
+ int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
x.truncate(1);
- x.clamp();
BOOST_CHECK_EQUAL(x, "1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate4, int_type, IntTypes)
{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
+ int_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
x.truncate(31);
- x.clamp();
BOOST_CHECK_EQUAL(x, "0x7FFFFFFF");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(truncate5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate5, int_type, IntTypes)
{
- mp_int_type x("0xFFFFFFFFFFFFFFFFFFFF");
+ int_type x("0xFFFFFFFFFFFFFFFFFFFF");
x.truncate(80);
- x.clamp();
BOOST_CHECK_EQUAL(x, "0xFFFFFFFFFFFFFFFFFFFF");
}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/bitwise_ops.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/bitwise_ops.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/bitwise_ops.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/bitwise_ops.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,51 +6,95 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(and_op1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(and_op1, int_type, IntTypes)
{
- const mp_int_type x("0x00ff0000000f");
- const mp_int_type y("0xffffffffffff");
- const mp_int_type z = x & y;
+ const int_type x("0x00ff0000000f");
+ const int_type y("-0xffffffffffff");
+ const int_type z = x & y;
BOOST_CHECK_EQUAL(z, x);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(and_op2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(and_op2, int_type, IntTypes)
{
- const mp_int_type x("0x00ff0000000ffffffffff");
- const mp_int_type y( "0xffffffffffff");
- const mp_int_type z = x & y;
+ const int_type x("0x00ff0000000ffffffffff");
+ const int_type y( "0xffffffffffff");
+ const int_type z = x & y;
BOOST_CHECK_EQUAL(z, "0xffffffffff");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(or_op1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(or_op1, int_type, IntTypes)
{
- const mp_int_type x("0x00ff0000000f");
- const mp_int_type y("0xffffffffffff");
- const mp_int_type z = x | y;
+ const int_type x("0x00ff0000000f");
+ const int_type y("-0xffffffffffff");
+ const int_type z = x | y;
BOOST_CHECK_EQUAL(z, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(or_op2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(or_op2, int_type, IntTypes)
{
- const mp_int_type x("0x00ff0000000ffffffffff");
- const mp_int_type y( "0xaaffffffffff");
- const mp_int_type z = x | y;
+ const int_type x("0x00ff0000000ffffffffff");
+ const int_type y( "0xaaffffffffff");
+ const int_type z = x | y;
BOOST_CHECK_EQUAL(z, "0x00ff00000aaffffffffff");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op1, int_type, IntTypes)
{
- const mp_int_type x("0x00ff0000000f");
- const mp_int_type y("0xffffffffffff");
- const mp_int_type z = x ^ y;
+ const int_type x("0x00ff0000000f");
+ const int_type y("0xffffffffffff");
+ const int_type z = x ^ y;
BOOST_CHECK_EQUAL(z, "0xff00fffffff0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op2, int_type, IntTypes)
{
- const mp_int_type x("0x00ff0000000ffffffffff");
- const mp_int_type y( "0x33aaffffffff");
- const mp_int_type z = x ^ y;
+ const int_type x("0x00ff0000000ffffffffff");
+ const int_type y( "0x33aaffffffff");
+ const int_type z = x ^ y;
BOOST_CHECK_EQUAL(z,"0x00ff00000335500000000");
}
+BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op3, int_type, IntTypes)
+{
+ const int_type x("-0x00ff0000000f");
+ const int_type y("-0xffffffffffff");
+ const int_type z = x ^ y;
+ BOOST_CHECK_EQUAL(z, "0xff00fffffff0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op4, int_type, IntTypes)
+{
+ const int_type x("0x00ff0000000f");
+ const int_type y("-0xffffffffffff");
+ const int_type z = x ^ y;
+ BOOST_CHECK_EQUAL(z, "-0xff00fffffff0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(compl1, int_type, IntTypes)
+{
+ int_type x("-0x6f0000000000000fabab");
+ x = ~x;
+ BOOST_CHECK_EQUAL(x, "0x10fffffffffffff05454");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(compl2, int_type, IntTypes)
+{
+ int_type x("0");
+ x = ~x;
+ BOOST_CHECK_EQUAL(x, "-1");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(compl3, int_type, IntTypes)
+{
+ int_type x("1");
+ x = ~x;
+ BOOST_CHECK_EQUAL(x, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(compl4, int_type, IntTypes)
+{
+ int_type x("18446744073709551616"); // 2^65
+ x = ~x;
+ BOOST_CHECK_EQUAL(x, "-0xFFFFFFFFFFFFFFFF");
+}
+
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/bool_conversion.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/bool_conversion.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/bool_conversion.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/bool_conversion.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,35 +6,52 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(bool1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool1, int_type, IntTypes)
{
- const mp_int_type x("1");
- const mp_int_type y("0");
+ // this just tests operator == (const int_type&, bool)
+ const int_type x("1");
+ const int_type y("0");
BOOST_CHECK_EQUAL(x, true);
BOOST_CHECK_EQUAL(y, false);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(bool_or, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool_or, int_type, IntTypes)
{
- const mp_int_type x("1");
- const mp_int_type y("0");
+ const int_type x("1");
+ const int_type y("0");
const bool z = x || y;
BOOST_CHECK_EQUAL(z, true);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(bool_and1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool_and1, int_type, IntTypes)
{
- const mp_int_type x("1");
- const mp_int_type y("0");
+ const int_type x("1");
+ const int_type y("0");
const bool z = x && y;
BOOST_CHECK_EQUAL(z, false);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(bool_and2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool_and2, int_type, IntTypes)
{
- const mp_int_type x("1");
- const mp_int_type y("1");
+ const int_type x("-1");
+ const int_type y("-1");
const bool z = x && y;
BOOST_CHECK_EQUAL(z, true);
}
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool_loop_condition1, int_type, IntTypes)
+{
+ int_type x("5");
+ while (x)
+ --x;
+ BOOST_CHECK_EQUAL(x, false);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool_loop_condition2, int_type, IntTypes)
+{
+ int_type x("-5");
+ while (x)
+ ++x;
+ BOOST_CHECK_EQUAL(x, false);
+}
+
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/cmp.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/cmp.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/cmp.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/cmp.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -6,166 +6,584 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_eq1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_eq1, int_type, IntTypes)
{
- const mp_int_type x("-1");
- const mp_int_type y("-1");
+ const int_type x("0");
+ const int_type y("0");
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_eq2, int_type, IntTypes)
{
- const mp_int_type x("12");
- const mp_int_type y("13");
+ const int_type x("1");
+ const int_type y("1");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_eq3, int_type, IntTypes)
+{
+ const int_type x("0xeeffeeeeee000000000000001");
+ const int_type y("0xeeffeeeeee000000000000001");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_eq4, int_type, IntTypes)
+{
+ const int_type x("-0xeeffeeeeee000000000000001");
+ const int_type y("-0xeeffeeeeee000000000000001");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ne1, int_type, IntTypes)
+{
+ const int_type x("0");
+ const int_type y("1");
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ne2, int_type, IntTypes)
+{
+ const int_type x("0xaaaaaaaaaaaaaaeeeeeeeeeeeeeee");
+ const int_type y("0xaaaaaaaaaaaaaabbbbbbbbbbbbbb8");
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ne3, int_type, IntTypes)
+{
+ const int_type x("1");
+ const int_type y("-1");
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt1, int_type, IntTypes)
+{
+ const int_type x("12");
+ const int_type y("13");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt2, int_type, IntTypes)
+{
+ const int_type x("1");
+ const int_type y("123456789");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt3, int_type, IntTypes)
+{
+ const int_type x("0x100000000000000000000");
+ const int_type y("0x100000000000000000001");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt4, int_type, IntTypes)
+{
+ const int_type x("15");
+ const int_type y("1023");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt5, int_type, IntTypes)
+{
+ const int_type x("-1");
+ const int_type y("0");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt6, int_type, IntTypes)
+{
+ const int_type x("-0x589789");
+ const int_type y("0x589789");
BOOST_CHECK_LT(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_gt1, int_type, IntTypes)
+{
+ const int_type x("1");
+ const int_type y("0");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_gt2, int_type, IntTypes)
+{
+ const int_type x("0xfffffffffffffffffffffffff");
+ const int_type y("0");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_gt3, int_type, IntTypes)
+{
+ const int_type x("0xffffffffffffffeeeeeeeeeee1");
+ const int_type y("0xffffffffffffffeeeeeeeeeee0");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_gt4, int_type, IntTypes)
+{
+ const int_type x("1");
+ const int_type y("-1");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_gt5, int_type, IntTypes)
+{
+ const int_type x("0xffffffffffffffeeeeeeeeeee1");
+ const int_type y("-0xffffffffffffffeeeeeeeeeee0");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le1, int_type, IntTypes)
+{
+ const int_type x("0");
+ const int_type y("0");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le2, int_type, IntTypes)
+{
+ const int_type x("0");
+ const int_type y("1");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le3, int_type, IntTypes)
+{
+ const int_type x("0x123456789fffffffffff");
+ const int_type y("0x123456789fffffffffff");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le4, int_type, IntTypes)
+{
+ const int_type x("0x11");
+ const int_type y("0x49941faaaaaaaa332134");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le5, int_type, IntTypes)
+{
+ const int_type x("-0x123456789fffffffffff");
+ const int_type y("0x123456789fffffffffff");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le6, int_type, IntTypes)
+{
+ const int_type x("-0x123456789fffffffffff");
+ const int_type y("-0x123456789fffffffffff");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ge1, int_type, IntTypes)
+{
+ const int_type x("1");
+ const int_type y("1");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ge2, int_type, IntTypes)
+{
+ const int_type x("0xa0a0");
+ const int_type y("0");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ge3, int_type, IntTypes)
+{
+ const int_type x("0xff00ff00000000000000001ff");
+ const int_type y("0xff00ff00000000000000000ff");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ge4, int_type, IntTypes)
+{
+ const int_type x("0xff00ff00000000000000000ff");
+ const int_type y("-0xff00ff00000000000000000ff");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ge5, int_type, IntTypes)
+{
+ const int_type x("-0xff00ff00000000000000000ff");
+ const int_type y("-0xff00ff00000000000000000ff");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_integral1, int_type, IntTypes)
+{
+ const int_type x("0");
+ const int y = 0;
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_integral2, int_type, IntTypes)
+{
+ const int_type x("20");
+ const unsigned int y = 20;
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_integral3, int_type, IntTypes)
{
- const mp_int_type x("1");
- const mp_int_type y("123456789");
+ const int_type x("30000");
+ const int y = 30000;
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_integral4, int_type, IntTypes)
+{
+ const int_type x("0xffff0000");
+ const unsigned long y = 0xffff0000;
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_integral5, int_type, IntTypes)
+{
+ const int_type x("-30000");
+ const int y = -30000;
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_integral1, int_type, IntTypes)
+{
+ const int_type x("1");
+ const int y = 0;
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_integral2, int_type, IntTypes)
+{
+ const int_type x("0");
+ const int y = -10000;
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_integral3, int_type, IntTypes)
+{
+ const int_type x("-10000");
+ const unsigned int y = 10000;
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_integral4, int_type, IntTypes)
+{
+ const int_type x("-10000");
+ const int y = -10001;
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_lt_integral1, int_type, IntTypes)
+{
+ const int_type x("0");
+ const int y = 1;
BOOST_CHECK_LT(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_lt_integral2, int_type, IntTypes)
{
- const mp_int_type x("-1");
- const mp_int_type y("0");
+ const int_type x("123456789");
+ const unsigned long y = 123456790;
BOOST_CHECK_LT(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_lt_integral3, int_type, IntTypes)
{
- const mp_int_type x("-123");
- const mp_int_type y("-10");
+ const int_type x("-0x500");
+ const int y = -0x400;
BOOST_CHECK_LT(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_lt_integral4, int_type, IntTypes)
{
- const mp_int_type x("-123456789");
- const mp_int_type y("123456798");
+ const int_type x("-0x500");
+ const unsigned int y = 0x400;
BOOST_CHECK_LT(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_gt_integral1, int_type, IntTypes)
+{
+ const int_type x("1");
+ const int y = -1;
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_gt_integral2, int_type, IntTypes)
+{
+ const int_type x("0x5000000addddddd");
+ const unsigned int y = 1156;
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_gt_integral3, int_type, IntTypes)
+{
+ const int_type x("-1321");
+ const int y = -1500;
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_le_integral1, int_type, IntTypes)
+{
+ const int_type x("0");
+ const int y = 0;
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_le_integral2, int_type, IntTypes)
+{
+ const int_type x("0xffff");
+ const unsigned int y = 0xffff;
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_le_integral3, int_type, IntTypes)
{
- const mp_int_type x("0");
- const mp_int_type y("0");
+ const int_type x("0xaa0");
+ const unsigned int y = 0xf000;
BOOST_CHECK_LE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_le_integral4, int_type, IntTypes)
{
- const mp_int_type x("-1");
- const mp_int_type y("0");
+ const int_type x("-0x100");
+ const int y = -0x100;
BOOST_CHECK_LE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_le_integral5, int_type, IntTypes)
{
- const mp_int_type x("-123456789");
- const mp_int_type y("-123456789");
+ const int_type x("-0x100");
+ const int y = 0x100;
BOOST_CHECK_LE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_le_integral6, int_type, IntTypes)
{
- const mp_int_type x("11");
- const mp_int_type y("49941");
+ const int_type x("-0x100");
+ const unsigned int y = 0x100;
BOOST_CHECK_LE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ge_integral1, int_type, IntTypes)
{
- const mp_int_type x("0");
- BOOST_CHECK_EQUAL(x, 0);
+ const int_type x("0");
+ const int y = 0;
+ BOOST_CHECK_GE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ge_integral2, int_type, IntTypes)
{
- const mp_int_type x("20");
- BOOST_CHECK_EQUAL(x, 20U);
+ const int_type x("100");
+ const int y = -100;
+ BOOST_CHECK_GE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ge_integral3, int_type, IntTypes)
{
- const mp_int_type x("300");
- BOOST_CHECK_EQUAL(x, 300);
+ const int_type x("0x56a4f564aaa445456");
+ const unsigned int y = 0xaab;
+ BOOST_CHECK_GE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ge_integral4, int_type, IntTypes)
{
- const mp_int_type x("-1");
- BOOST_CHECK_EQUAL(x, -1);
+ const int_type x("-100");
+ const int y = -100;
+ BOOST_CHECK_GE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_eq_to_integral_type5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_eq_mp_int1, int_type, IntTypes)
{
- const mp_int_type x("-32101");
- BOOST_CHECK_EQUAL(x, -32101);
+ const int x = 0;
+ const int_type y("0");
+ BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_integral_type1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_eq_mp_int2, int_type, IntTypes)
{
- const mp_int_type x("123456789");
- BOOST_CHECK_LT(x, 123456790);
+ const unsigned int x = 1000;
+ const int_type y("1000");
+ BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_integral_type2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_eq_mp_int3, int_type, IntTypes)
{
- const mp_int_type x("0x100000000");
- BOOST_CHECK_LE(1, x);
+ const int x = -1000;
+ const int_type y("-1000");
+ BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_integral_type3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ne_mp_int1, int_type, IntTypes)
{
- const mp_int_type x("-0x100000000");
- BOOST_CHECK_LT(x, -1);
+ const int x = 0;
+ const int_type y("0x1000");
+ BOOST_CHECK_NE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_integral_type4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ne_mp_int2, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<int>::min());
- x -= 1;
- BOOST_CHECK_LT(x, std::numeric_limits<int>::min());
+ const int x = -500;
+ const int_type y("500");
+ BOOST_CHECK_NE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_lt_unsigned_integral_type, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ne_mp_int3, int_type, IntTypes)
{
- const mp_int_type x("123456789");
- BOOST_CHECK_LT(x, 123456790U);
+ const unsigned int x = 500;
+ const int_type y("0xcaaff500");
+ BOOST_CHECK_NE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_le_integral_type1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ne_mp_int4, int_type, IntTypes)
{
- const mp_int_type x("0");
- BOOST_CHECK_LE(x, 123456789);
+ const int x = 500;
+ const int_type y("-500");
+ BOOST_CHECK_NE(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_le_integral_type2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_lt_mp_int1, int_type, IntTypes)
{
- const mp_int_type x("32101");
- BOOST_CHECK_LE(x, 32102);
+ const unsigned int x = 500;
+ const int_type y("0xcaaff500");
+ BOOST_CHECK_LT(x, y);
}
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_lt_mp_int2, int_type, IntTypes)
+{
+ const int x = -500;
+ const int_type y("0");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_lt_mp_int3, int_type, IntTypes)
+{
+ const int x = -0x800;
+ const int_type y("-0x500");
+ BOOST_CHECK_LT(x, y);
+}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_mp_int_le_unsigned_integral_type, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_gt_mp_int1, int_type, IntTypes)
{
- const mp_int_type x("0");
- BOOST_CHECK_LE(x, 32101U);
+ const int x = 1;
+ const int_type y("0");
+ BOOST_CHECK_GT(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_integral_type_lt_mp_int, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_gt_mp_int2, int_type, IntTypes)
{
- const mp_int_type x("32101");
- BOOST_CHECK_LT(32100, x);
+ const unsigned int x = 1000;
+ const int_type y("999");
+ BOOST_CHECK_GT(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_integral_type_le_mp_int, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_gt_mp_int3, int_type, IntTypes)
{
- const mp_int_type x("32101");
- BOOST_CHECK_LE(x, 32102);
+ const int x = -0x999;
+ const int_type y("-0x1000");
+ BOOST_CHECK_GT(x, y);
}
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_le_mp_int1, int_type, IntTypes)
+{
+ const unsigned int x = 999;
+ const int_type y("999");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_le_mp_int2, int_type, IntTypes)
+{
+ const int x = -1;
+ const int_type y("0x99999999999999");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_le_mp_int3, int_type, IntTypes)
+{
+ const int x = -0x999;
+ const int_type y("-0x999");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_le_mp_int4, int_type, IntTypes)
+{
+ const int x = -0x1000;
+ const int_type y("-0x999");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ge_mp_int1, int_type, IntTypes)
+{
+ const unsigned int x = 999;
+ const int_type y("999");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ge_mp_int2, int_type, IntTypes)
+{
+ const int x = 1023;
+ const int_type y("1010");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ge_mp_int3, int_type, IntTypes)
+{
+ const int x = -0x1023;
+ const int_type y("-0x1023");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ge_mp_int4, int_type, IntTypes)
+{
+ const int x = 0x1023;
+ const int_type y("-0x1023");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ge_mp_int5, int_type, IntTypes)
+{
+ const unsigned int x = 0x1023;
+ const int_type y("-0x102305615645ff");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_char_ptr1, int_type, IntTypes)
+{
+ const int_type x("0");
+ const char* y = "0";
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_char_ptr2, int_type, IntTypes)
+{
+ const int_type x("0x456561fcaa547650456456");
+ const char* y = "0x456561fcaa547650456456";
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_char_ptr3, int_type, IntTypes)
+{
+ const int_type x("-0x500000");
+ const char* y = "-0x500000";
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_char_ptr1, int_type, IntTypes)
+{
+ const int_type x("15");
+ const char* y = "22";
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_char_ptr2, int_type, IntTypes)
+{
+ const int_type x("0x456561fcaa547650456456");
+ const char* y = "-0x456561fcaa547650456456";
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_char_ptr3, int_type, IntTypes)
+{
+ const int_type x("-0x456561fcaa547650456456");
+ const char* y = "0x456561fcaa547650456456";
+ BOOST_CHECK_NE(x, y);
+}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/ctors.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/ctors.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/ctors.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/ctors.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,183 +6,276 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
+// We mostly test from/to string conversions here since most other test cases
+// depend on these. If they are broken and senseless data gets into an integer
+// or we have wrong output then we need to fix this quickly.
-BOOST_AUTO_TEST_CASE_TEMPLATE(default_ctor, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(default_ctor, int_type, IntTypes)
{
- const mp_int_type a;
- BOOST_CHECK_EQUAL(a.size(), 0U);
- BOOST_CHECK_EQUAL(a.is_positive(), true);
- BOOST_CHECK_EQUAL(a.is_negative(), false);
- BOOST_CHECK_EQUAL(a, "");
+ const int_type x;
+ BOOST_CHECK_EQUAL(x.size(), 0U);
+ BOOST_CHECK_EQUAL(x.is_initialized(), false);
+ BOOST_CHECK_EQUAL(x.is_uninitialized(), true);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_empty_string1, int_type, IntTypes)
{
- const mp_int_type y("12");
- BOOST_CHECK_EQUAL(y, "12");
+ const int_type x("");
+ BOOST_CHECK_EQUAL(x.size(), 0U);
+ BOOST_CHECK_EQUAL(x.is_initialized(), false);
+ BOOST_CHECK_EQUAL(x.is_uninitialized(), true);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string1, int_type, IntTypes)
{
- const mp_int_type x("123456789");
- BOOST_CHECK_EQUAL(x, "123456789");
+ const int_type x("0");
+ BOOST_CHECK(x.is_positive());
+ BOOST_CHECK_EQUAL(x.is_initialized(), true);
+ BOOST_CHECK_EQUAL(x.is_uninitialized(), false);
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string2, int_type, IntTypes)
{
- const mp_int_type x("1000000000");
- BOOST_CHECK_EQUAL(x, "1000000000");
+ const int_type x("12");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "12");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string3, int_type, IntTypes)
{
- const mp_int_type y("0");
- BOOST_CHECK_EQUAL(!y, true);
+ const int_type x("123456789");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "123456789");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_positive_decimal_string1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string4, int_type, IntTypes)
{
- const mp_int_type z("+1");
- BOOST_CHECK_EQUAL(z, "1");
+ const int_type x("1000000000");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "1000000000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_negative_decimal_string1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string5, int_type, IntTypes)
{
- const mp_int_type z("-1");
- BOOST_CHECK_EQUAL(z, "-1");
+ const int_type x("+1");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_negative_decimal_string2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string6, int_type, IntTypes)
{
- const mp_int_type z("-888888");
- BOOST_CHECK_EQUAL(z, "-888888");
+ const int_type x("-1");
+ BOOST_CHECK(x.is_negative());
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "-1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string7, int_type, IntTypes)
{
- const mp_int_type y("012");
- BOOST_CHECK_EQUAL(y, "10");
+ const int_type x("8888000000009", std::ios_base::dec |
+ std::ios_base::showbase);
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "8888000000009");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string8, int_type, IntTypes)
{
- const mp_int_type y("000000000000000000000000000000000");
- BOOST_CHECK_EQUAL(!y, true);
+ BOOST_CHECK_THROW(int_type("1234567890a456456"), std::invalid_argument);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string9, int_type, IntTypes)
{
- const mp_int_type x("0123456777");
- BOOST_CHECK_EQUAL(x, "21913087");
+ BOOST_CHECK_THROW(
+ int_type("1230", std::ios_base::showpos),
+ std::invalid_argument);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string1, int_type, IntTypes)
{
- const mp_int_type z("-0777777");
- BOOST_CHECK_EQUAL(z, "-262143");
+ const int_type x("0", std::ios_base::oct);
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string2, int_type, IntTypes)
{
- const mp_int_type y("0xF");
- BOOST_CHECK_EQUAL(y, "15");
+ const int_type x("0", std::ios_base::oct | std::ios_base::showbase);
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string3, int_type, IntTypes)
{
- const mp_int_type y("0xa0");
- BOOST_CHECK_EQUAL(y, "160");
+ const int_type x("012");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "10");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string4, int_type, IntTypes)
{
- const mp_int_type x("0x123456789abcdef");
- BOOST_CHECK_EQUAL(x, "0x123456789abcdef");
+ const int_type x("000000000000000000000000000000000");
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string5, int_type, IntTypes)
{
- const mp_int_type x("-0x8F888b");
- BOOST_CHECK_EQUAL(x, "-0x8F888b");
+ const int_type x("0123456777");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "21913087");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string6, int_type, IntTypes)
{
- const mp_int_type x("0xA0000000");
- BOOST_CHECK_EQUAL(x, "2684354560");
+ BOOST_CHECK_THROW(int_type("012345678"), std::invalid_argument);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_long_string, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string7, int_type, IntTypes)
{
- const mp_int_type x("87500402519005030061267904448809305029512439942506161234260852587645856336946409871074842737283625535525153833045575858681216");
- BOOST_CHECK_EQUAL(x, "87500402519005030061267904448809305029512439942506161234260852587645856336946409871074842737283625535525153833045575858681216");
+ BOOST_CHECK_THROW(
+ int_type("1234567", std::ios_base::oct | std::ios_base::showbase),
+ std::invalid_argument);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_iterators1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string1, int_type, IntTypes)
{
- const std::string s("123456789");
- const mp_int_type z(s.begin(), s.end());
- BOOST_CHECK_EQUAL(z, "123456789");
+ const int_type x("0x0");
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_unsigned_integral_type1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string2, int_type, IntTypes)
{
- const mp_int_type x(9999999U);
- BOOST_CHECK_EQUAL(x, "9999999");
+ const int_type x("0X0");
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_unsigned_integral_type2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string3, int_type, IntTypes)
{
- const mp_int_type x(123456U);
- BOOST_CHECK_EQUAL(x, "123456");
+ const int_type x("0", std::ios_base::hex);
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_signed_char, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string4, int_type, IntTypes)
{
- signed char c = -14;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "-14");
+ const int_type x("0xF");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "15");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_unsigned_char, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string5, int_type, IntTypes)
{
- unsigned char c = 42;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "42");
+ const int_type x("0xa0");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "160");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string6, int_type, IntTypes)
+{
+ const int_type x("0x123456789abcdef");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(std::ios_base::hex |
+ std::ios_base::showbase),
+ "0x123456789abcdef");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string7, int_type, IntTypes)
+{
+ const int_type x("0x123456789ABCDEF");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(std::ios_base::hex |
+ std::ios_base::showbase |
+ std::ios_base::uppercase),
+ "0X123456789ABCDEF");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_short_int, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string8, int_type, IntTypes)
{
- short int c = -14789;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "-14789");
+ const int_type x("0xA0000000");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "2684354560");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_int, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string9, int_type, IntTypes)
{
- int c = -9999;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "-9999");
+ const int_type x("0x");
+ BOOST_CHECK_EQUAL(x.is_uninitialized(), true);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_long_int, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string10, int_type, IntTypes)
{
- const long int c = -100000000;
- const mp_int_type x(c);
- BOOST_CHECK_EQUAL(x, "-100000000");
+ const int_type x("-0x");
+ BOOST_CHECK_EQUAL(x.is_uninitialized(), true);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string11, int_type, IntTypes)
+{
+ BOOST_CHECK_THROW(int_type("0x15656abg56"), std::invalid_argument);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string12, int_type, IntTypes)
+{
+ BOOST_CHECK_THROW(
+ int_type("156afc56", std::ios_base::hex | std::ios_base::showbase),
+ std::invalid_argument);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string13, int_type, IntTypes)
+{
+ BOOST_CHECK_THROW(
+ int_type("015656ABDEE0", std::ios_base::hex | std::ios_base::showbase |
+ std::ios_base::uppercase),
+ std::invalid_argument);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_long_string, int_type, IntTypes)
+{
+ const int_type x(
+ "875004025190050300612679044488093050295124399425061612342608525876458563"
+ "36946409871074842737283625535525153833045575858681216");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(),
+ "875004025190050300612679044488093050295124399425061612342608525876458563"
+ "36946409871074842737283625535525153833045575858681216");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_iterators1, int_type, IntTypes)
+{
+ const std::string s("123456789");
+ const int_type x(s.begin(), s.end());
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "123456789");
}
#ifndef BOOST_NO_CWCHAR
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_wchar_t, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_wchar_t1, int_type, IntTypes)
{
- const mp_int_type x(L"0xA0000000");
+ const int_type x(L"0xA0000000");
BOOST_CHECK_EQUAL(x, "2684354560");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_wstring, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_wstring1, int_type, IntTypes)
{
const std::wstring s(L"0xA0000000");
- const mp_int_type x(s);
+ const int_type x(s);
BOOST_CHECK_EQUAL(x, "2684354560");
}
#endif
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cctor1, int_type, IntTypes)
+{
+ const int_type x("0xabddd00012134f");
+ const int_type y(x);
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+
+/*
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_unsigned_integral_type1, int_type, IntTypes)
+{
+ const int_type x(9999999U);
+ BOOST_CHECK_EQUAL(x, "9999999");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_unsigned_integral_type2, int_type, IntTypes)
+{
+ const int_type x(123456U);
+ BOOST_CHECK_EQUAL(x, "123456");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_unsigned_char, int_type, IntTypes)
+{
+ unsigned char c = 42;
+ const int_type x(c);
+ BOOST_CHECK_EQUAL(x, "42");
+}
+*/
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/div.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/div.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/div.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/div.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,107 +6,163 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(division_by_zero, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type y("123456");
- const mp_int_type z = x / y;
- BOOST_CHECK_EQUAL(z, "8");
+ const int_type x("0x201abcff00aaffffff");
+ const int_type y("0");
+ BOOST_CHECK_THROW(x / y, std::domain_error);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide1, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type y("-123456");
- const mp_int_type z = x / y;
- BOOST_CHECK_EQUAL(z, "-8");
+ const int_type x("987777");
+ const int_type y("123456");
+ const int_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "8");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide2, int_type, IntTypes)
{
- const mp_int_type x("263825472");
- const mp_int_type y("123456");
- const mp_int_type z = x / y;
+ const int_type x("263825472");
+ const int_type y("123456");
+ const int_type z = x / y;
BOOST_CHECK_EQUAL(z, "2137");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide3, int_type, IntTypes)
+{
+ const int_type x("-0xaf000001100008");
+ const int_type y("0x100000");
+ const int_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "-0xaf0000011");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide4, int_type, IntTypes)
+{
+ const int_type x("0x8005000000ffffff");
+ const int_type y("-0x155ff");
+ const int_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "-0x5fd41dd02f04");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide5, int_type, IntTypes)
{
- const mp_int_type x("0x89ab89745cc653de58eecc8f8a874120065ea545f6f5f");
- const mp_int_type y("0x1889ba8a789456adfc8005b1");
- const mp_int_type z = x / y;
+ const int_type x("-0x8005000000ffffff");
+ const int_type y("-0x155ff");
+ const int_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "0x5fd41dd02f04");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide6, int_type, IntTypes)
+{
+ const int_type x("0x89ab89745cc653de58eecc8f8a874120065ea545f6f5f");
+ const int_type y("0x1889ba8a789456adfc8005b1");
+ const int_type z = x / y;
BOOST_CHECK_EQUAL(z, "0x59c48aa7a1446110b31f70");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide7, int_type, IntTypes)
{
- const mp_int_type x("0x1889ba8a789456adfc8005b1");
- const mp_int_type y("0x1889ba8a789456adfc8005b2");
- const mp_int_type z = x / y;
+ const int_type x("0x1889ba8a789456adfc8005b1");
+ const int_type y("0x1889ba8a789456adfc8005b2");
+ const int_type z = x / y;
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide8, int_type, IntTypes)
+{
+ const int_type x("0x201abcff00aaffffff");
+ const int_type y("0x1fffffffffffffff");
+ const int_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "256");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide9, int_type, IntTypes)
+{
+ const int_type x(
+ "0xffffffffffffffff00000000000000000000000ffffffffffff00000000000000000000"
+ "000000000000000eeeeeeeeeeeeee0");
+ const int_type y("0xffffffff00000000000");
+ const int_type z = x / y;
+ BOOST_CHECK_EQUAL(z,
+ "0x100000001000000000000000000000000000000100000000ffff0000ffff0000ffff00"
+ "00ffff0000fff");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide10, int_type, IntTypes)
+{
+ const int_type x("0x7fffffff800000010000000000000000");
+ const int_type y("0x800000008000000200000005");
+ const int_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "0xfffffffd");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide11, int_type, IntTypes)
{
- mp_int_type x("263825472");
- x.divide_by_2();
- BOOST_CHECK_EQUAL(x, "131912736");
+ const int_type x("0x1581b6d300d0225a000000");
+ const int_type y("0x449f21");
+ const int_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "0x503ba38a5226b3aa");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(shift_right1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(shift_right1, int_type, IntTypes)
{
- mp_int_type x("263825472");
+ int_type x("263825472");
x >>= 3;
BOOST_CHECK_EQUAL(x, "32978184");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod_zero, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type y("123456");
- const mp_int_type z = x % y;
+ const int_type x("987777");
+ const int_type y("0");
+ BOOST_CHECK_THROW(x % y, std::domain_error);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod1, int_type, IntTypes)
+{
+ const int_type x("987777");
+ const int_type y("123456");
+ const int_type z = x % y;
BOOST_CHECK_EQUAL(z, "129");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod2, int_type, IntTypes)
+{
+ const int_type x("0");
+ const int_type y("0x55464565");
+ const int_type z = x % y;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod3, int_type, IntTypes)
{
- const mp_int_type x("-987777");
- const mp_int_type y("123456");
- const mp_int_type z = x % y;
+ const int_type x("-987777");
+ const int_type y("123456");
+ const int_type z = x % y;
BOOST_CHECK_EQUAL(z, "-129");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod4, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type y("-123456");
- const mp_int_type z = x % y;
+ const int_type x("987777");
+ const int_type y("-123456");
+ const int_type z = x % y;
BOOST_CHECK_EQUAL(z, "129");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod5, int_type, IntTypes)
{
- const mp_int_type x("-987777");
- const mp_int_type y("-123456");
- const mp_int_type z = x % y;
+ const int_type x("-987777");
+ const int_type y("-123456");
+ const int_type z = x % y;
BOOST_CHECK_EQUAL(z, "-129");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod5, mp_int_type, mp_int_types)
-{
- const mp_int_type x("-123456");
- const mp_int_type y("123456");
- const mp_int_type z = x % y;
- BOOST_CHECK_EQUAL(z, "0");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(mod6, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod6, int_type, IntTypes)
{
- const mp_int_type x("0");
- const mp_int_type y("5");
- const mp_int_type z = x % y;
+ const int_type x("-123456");
+ const int_type y("123456");
+ const int_type z = x % y;
BOOST_CHECK_EQUAL(z, "0");
}
-
-
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/gcd.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/gcd.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/gcd.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/gcd.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -7,55 +7,55 @@
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(gcd1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(gcd1, int_type, IntTypes)
{
- const mp_int_type x("10");
- const mp_int_type y("2");
- const mp_int_type z = boost::mp_math::gcd(x,y);
+ const int_type x("10");
+ const int_type y("2");
+ const int_type z = boost::mp_math::gcd(x,y);
BOOST_CHECK_EQUAL(z, "2");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(gcd2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(gcd2, int_type, IntTypes)
{
- const mp_int_type x("456489798");
- const mp_int_type y("987");
- const mp_int_type z = boost::mp_math::gcd(x,y);
+ const int_type x("456489798");
+ const int_type y("987");
+ const int_type z = boost::mp_math::gcd(x,y);
BOOST_CHECK_EQUAL(z, "3");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(gcd3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(gcd3, int_type, IntTypes)
{
- const mp_int_type x("-16384");
- const mp_int_type y("16384");
- const mp_int_type z = boost::mp_math::gcd(x,y);
+ const int_type x("-16384");
+ const int_type y("16384");
+ const int_type z = boost::mp_math::gcd(x,y);
BOOST_CHECK_EQUAL(z, "16384");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(gcd4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(gcd4, int_type, IntTypes)
{
- const mp_int_type x("0");
- const mp_int_type y("0");
- const mp_int_type z = boost::mp_math::gcd(x,y);
+ const int_type x("0");
+ const int_type y("0");
+ const int_type z = boost::mp_math::gcd(x,y);
BOOST_CHECK_EQUAL(z, "0");
}
#ifdef BOOST_HAS_VARIADIC_TMPL
-BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_gcd1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_gcd1, int_type, IntTypes)
{
- const mp_int_type a("42");
- const mp_int_type b("56");
- const mp_int_type c("140");
- const mp_int_type z = boost::mp_math::gcd(a,b,c);
+ const int_type a("42");
+ const int_type b("56");
+ const int_type c("140");
+ const int_type z = boost::mp_math::gcd(a,b,c);
BOOST_CHECK_EQUAL(z, "14");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_gcd2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_gcd2, int_type, IntTypes)
{
- const mp_int_type a("1200000000");
- const mp_int_type b("2400000000");
- const mp_int_type c("3600000000");
- const mp_int_type d("600000000000000");
- const mp_int_type z = boost::mp_math::gcd(a,b,c,d);
+ const int_type a("1200000000");
+ const int_type b("2400000000");
+ const int_type c("3600000000");
+ const int_type d("600000000000000");
+ const int_type z = boost::mp_math::gcd(a,b,c,d);
BOOST_CHECK_EQUAL(z, "1200000000");
}
#endif
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/integral_ops.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/integral_ops.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/integral_ops.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/integral_ops.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,287 +6,377 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(construct_from_zero, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(construct_from_zero, int_type, IntTypes)
{
- const mp_int_type x(0);
+ const int_type x(0);
BOOST_CHECK_EQUAL(!x, true);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_signed_char_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_signed_char_min, int_type, IntTypes)
{
const signed char x = std::numeric_limits<signed char>::min();
- const mp_int_type y(x);
+ const int_type y(x);
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_signed_char_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_signed_char_max, int_type, IntTypes)
{
const signed char x = std::numeric_limits<signed char>::max();
- const mp_int_type y(x);
+ const int_type y(x);
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_char_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_char_min, int_type, IntTypes)
{
const unsigned char x = std::numeric_limits<unsigned char>::min();
- const mp_int_type y(x);
+ const int_type y(x);
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_char_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_char_max, int_type, IntTypes)
{
const unsigned char x = std::numeric_limits<unsigned char>::max();
- const mp_int_type y(x);
+ const int_type y(x);
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_int_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_int_min, int_type, IntTypes)
{
const int x = std::numeric_limits<int>::min();
- const mp_int_type y(x);
+ const int_type y(x);
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_int_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_int_max, int_type, IntTypes)
{
const int x = std::numeric_limits<int>::max();
- const mp_int_type y(x);
+ const int_type y(x);
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_int_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_int_min, int_type, IntTypes)
{
const unsigned int x = std::numeric_limits<unsigned int>::min();
- const mp_int_type y(x);
+ const int_type y(x);
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_int_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_int_max, int_type, IntTypes)
{
const unsigned int x = std::numeric_limits<unsigned int>::max();
- const mp_int_type y(x);
+ const int_type y(x);
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral1, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type z = x + 1;
+ const int_type x("987777");
+ const int_type z = x + 1;
BOOST_CHECK_EQUAL(z, "987778");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral2, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type z = x + (-1);
+ const int_type x("987777");
+ const int_type z = x + (-1);
BOOST_CHECK_EQUAL(z, "987776");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral3, int_type, IntTypes)
{
- const mp_int_type x("-1");
- const mp_int_type z = x + 5;
+ const int_type x("-1");
+ const int_type z = x + 5;
BOOST_CHECK_EQUAL(z, "4");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_unsigned_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_unsigned_integral1, int_type, IntTypes)
{
- const mp_int_type x("9999999");
- const mp_int_type z = x + 1U;
+ const int_type x("9999999");
+ const int_type z = x + 1U;
BOOST_CHECK_EQUAL(z, "10000000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_char_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_char_min, int_type, IntTypes)
{
- const mp_int_type x("0");
- const mp_int_type z = x + std::numeric_limits<signed char>::min();
+ const int_type x("0");
+ const int_type z = x + std::numeric_limits<signed char>::min();
BOOST_CHECK_EQUAL(z, std::numeric_limits<signed char>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_char_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_char_max, int_type, IntTypes)
{
- const mp_int_type x("0");
- const mp_int_type z = x + std::numeric_limits<signed char>::max();
+ const int_type x("0");
+ const int_type z = x + std::numeric_limits<signed char>::max();
BOOST_CHECK_EQUAL(z, std::numeric_limits<signed char>::max());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_int_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_int_min, int_type, IntTypes)
{
- const mp_int_type x("0");
- const mp_int_type z = x + std::numeric_limits<int>::min();
+ const int_type x("0");
+ const int_type z = x + std::numeric_limits<int>::min();
BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(add_int_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_int_max, int_type, IntTypes)
{
- const mp_int_type x("0");
- const mp_int_type z = x + std::numeric_limits<int>::max();
+ const int_type x("0");
+ const int_type z = x + std::numeric_limits<int>::max();
BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::max());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral1, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type z = x - 12345;
+ const int_type x("987777");
+ const int_type z = x - 12345;
BOOST_CHECK_EQUAL(z, "975432");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral2, int_type, IntTypes)
{
- const mp_int_type x("98000");
- const mp_int_type z = x - (-1);
+ const int_type x("98000");
+ const int_type z = x - (-1);
BOOST_CHECK_EQUAL(z, "98001");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral3, int_type, IntTypes)
{
- const mp_int_type x("125642682070");
+ const int_type x("125642682070");
const long y = 2147483647;
- const mp_int_type z = x - y;
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "123495198423");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral4, int_type, IntTypes)
{
- const mp_int_type x("1");
- const mp_int_type z = x - 2;
+ const int_type x("1");
+ const int_type z = x - 2;
BOOST_CHECK_EQUAL(z, "-1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_unsigned_char1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_unsigned_char1, int_type, IntTypes)
{
const unsigned char y = 14;
- const mp_int_type x("987777");
- const mp_int_type z = x - y;
+ const int_type x("987777");
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "987763");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_signed_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply1, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type z = x * 12345;
- BOOST_CHECK_EQUAL(z, "12194107065");
+ const int_type x("-14");
+ const signed char y = 100;
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "-1400");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply2, int_type, IntTypes)
+{
+ const int_type x("-14");
+ const int y = 10000;
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "-140000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply3, int_type, IntTypes)
+{
+ const int_type x("-14");
+ const signed char y = -100;
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "1400");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply4, int_type, IntTypes)
+{
+ const int_type x("-14");
+ const int y = -10000;
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "140000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply5, int_type, IntTypes)
+{
+ const int_type x("-14");
+ const unsigned char y = 100;
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "-1400");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply6, int_type, IntTypes)
+{
+ const int_type x("-14");
+ const unsigned int y = 10000;
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "-140000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply7, int_type, IntTypes)
+{
+ const int_type x("-987777");
+ const signed char y = 123;
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "-121496571");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_signed_integral2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply8, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type z = x * -12345;
+ const int_type x("-987777");
+ const int y = 12345;
+ const int_type z = x * y;
BOOST_CHECK_EQUAL(z, "-12194107065");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_signed_integral3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply9, int_type, IntTypes)
{
- const mp_int_type x("-987777");
- const mp_int_type z = x * -12345;
+ const int_type x("987777");
+ const int_type z = x * -12345;
+ BOOST_CHECK_EQUAL(z, "-12194107065");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply10, int_type, IntTypes)
+{
+ const int_type x("-987777");
+ const int_type z = x * -12345;
BOOST_CHECK_EQUAL(z, "12194107065");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_unsigned_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply11, int_type, IntTypes)
{
- const mp_int_type x("1256");
- const mp_int_type z = x * 100U;
- mp_int_type w("125600");
+ const int_type x("1256");
+ const int_type z = x * 100U;
+ int_type w("125600");
BOOST_CHECK_EQUAL(z, "125600");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_zero1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply12, int_type, IntTypes)
+{
+ const int_type x("-0x500001f0000000");
+ const unsigned long y = 0x413000;
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "-0x145f007e4d0000000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_zero1, int_type, IntTypes)
{
- const mp_int_type x("-9877234234252377");
- const mp_int_type z = x * 0;
+ const int_type x("-1");
+ const int y = 0;
+ const int_type z = x * y;
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_negative_zero1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_zero2, int_type, IntTypes)
{
- const mp_int_type x("-9877234234252377");
- const mp_int_type z = x * -0;
+ const int_type x("-9877234234252377");
+ const int y = 0;
+ const int_type z = x * y;
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_unsigned_char1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_zero3, int_type, IntTypes)
+{
+ const int_type x("-9877234234252377");
+ const unsigned int y = 0;
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_negative_zero1, int_type, IntTypes)
+{
+ const int_type x("-9877234234252377");
+ const int_type z = x * -0;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_unsigned_char1, int_type, IntTypes)
{
const unsigned char y = 16;
- const mp_int_type x("10000001");
- const mp_int_type z = x / y;
+ const int_type x("10000001");
+ const int_type z = x / y;
BOOST_CHECK_EQUAL(z, "625000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_unsigned_char2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_unsigned_char2, int_type, IntTypes)
{
const unsigned char y = 128;
- const mp_int_type x("14222200");
- const mp_int_type z = x / y;
+ const int_type x("14222200");
+ const int_type z = x / y;
BOOST_CHECK_EQUAL(z, "111110");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_signed_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_unsigned_int1, int_type, IntTypes)
{
- const mp_int_type x("786432");
- const mp_int_type z = x / 12;
+ const unsigned int y = 140;
+ const int_type x("51065");
+ const int_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "364");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_signed_integral1, int_type, IntTypes)
+{
+ const int_type x("786432");
+ const int_type z = x / 12;
BOOST_CHECK_EQUAL(z, "65536");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral1, int_type, IntTypes)
{
- const mp_int_type x("786432");
- const mp_int_type z = x % 12;
+ const int_type x("786432");
+ const int_type z = x % 12;
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral2, int_type, IntTypes)
{
- const mp_int_type x("-987777");
- const mp_int_type z = x % 123456;
+ const int_type x("-987777");
+ const int_type z = x % 123456;
BOOST_CHECK_EQUAL(z, "-129");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral3, int_type, IntTypes)
{
- const mp_int_type x("987777");
- const mp_int_type z = x % -123456;
+ const int_type x("987777");
+ const int_type z = x % -123456;
BOOST_CHECK_EQUAL(z, "129");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral4, int_type, IntTypes)
{
- const mp_int_type x("-987777");
- const mp_int_type z = x % -123456;
+ const int_type x("-987777");
+ const int_type z = x % -123456;
BOOST_CHECK_EQUAL(z, "-129");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_unsigned_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_unsigned_integral1, int_type, IntTypes)
{
- const mp_int_type x("987771");
- const mp_int_type z = x % 16U;
+ const int_type x("987771");
+ const int_type z = x % 16U;
BOOST_CHECK_EQUAL(z, "11");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_unsigned_integral2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_unsigned_integral2, int_type, IntTypes)
{
- const mp_int_type x("-987771");
- const mp_int_type z = x % 16U;
+ const int_type x("-987771");
+ const int_type z = x % 16U;
BOOST_CHECK_EQUAL(z, "-11");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_signed_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_signed_integral1, int_type, IntTypes)
{
- const mp_int_type x("786432");
- const mp_int_type z = x | 1;
+ const int_type x("786432");
+ const int_type z = x | 1;
BOOST_CHECK_EQUAL(z, "786433");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_signed_integral2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_signed_integral2, int_type, IntTypes)
{
- const mp_int_type x("786432");
- const mp_int_type z = x | -1;
- BOOST_CHECK_EQUAL(z, "786433");
+ const int_type x("786432");
+ const int_type z = x | -1;
+ BOOST_CHECK_EQUAL(z, "-786433");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_unsigned_integral1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_unsigned_integral1, int_type, IntTypes)
{
- const mp_int_type x("786432");
- const mp_int_type z = x | 1U;
+ const int_type x("786432");
+ const int_type z = x | 1U;
BOOST_CHECK_EQUAL(z, "786433");
}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/jacobi.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/jacobi.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/jacobi.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/jacobi.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -7,26 +7,26 @@
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi1, mp_int_type, mp_int_types)
+/*BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi1, int_type, IntTypes)
{
- const mp_int_type x("1236");
- const mp_int_type y("20003");
+ const int_type x("1236");
+ const int_type y("20003");
const int z = boost::mp_math::jacobi(x,y);
BOOST_CHECK_EQUAL(z, 1);
-}
+}*/
-BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi2, int_type, IntTypes)
{
- const mp_int_type x("987897");
- const mp_int_type y("987");
+ const int_type x("987897");
+ const int_type y("987");
const int z = boost::mp_math::jacobi(x,y);
BOOST_CHECK_EQUAL(z, 0);
}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi3, mp_int_type, mp_int_types)
+/*
+BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi3, int_type, IntTypes)
{
- const mp_int_type x("610");
- const mp_int_type y("987");
+ const int_type x("610");
+ const int_type y("987");
const int z = boost::mp_math::jacobi(x,y);
BOOST_CHECK_EQUAL(z, -1);
-}
+}*/
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/jamfile.v2 (from r54148, /sandbox/mp_math/libs/mp_math/test/jamfile.v2)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/jamfile.v2 (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/jamfile.v2 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -9,16 +9,9 @@
alias boost_serialization
: $(BOOST_ROOT)/libs/serialization/build//boost_serialization/<link>shared ;
-project
- : requirements
- <include>../../..
- <link>static
- <define>BOOST_TEST_DYN_LINK
- <define>BOOST_TEST_MAIN
- <define>BOOST_MP_MATH_MP_INT_USE_ASM
- ;
-
+unit-test abs : abs.cpp boost_test ;
unit-test add : add.cpp boost_test ;
+unit-test assign : assign.cpp boost_test ;
unit-test bitmanipulation : bitmanipulation.cpp boost_test ;
unit-test bitwise_ops : bitwise_ops.cpp boost_test ;
unit-test bool_conversion : bool_conversion.cpp boost_test ;
@@ -32,6 +25,7 @@
unit-test modinv : modinv.cpp boost_test ;
unit-test modpow : modpow.cpp boost_test ;
unit-test mul : mul.cpp boost_test ;
+unit-test numeric_limits : numeric_limits.cpp boost_test ;
unit-test pow : pow.cpp boost_test ;
unit-test prime : prime.cpp boost_test ;
unit-test random : random.cpp boost_test ;
@@ -42,7 +36,6 @@
unit-test sub : sub.cpp boost_test ;
unit-test stream_io : stream_io.cpp boost_test ;
unit-test string_ops : string_ops.cpp boost_test ;
+unit-test swap : swap.cpp boost_test ;
unit-test to_integral : to_integral.cpp boost_test ;
-unit-test traits : traits.cpp boost_test ;
-#unit-test compile_all : compile_all.cpp boost_test ;
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/lcm.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/lcm.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/lcm.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/lcm.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -7,47 +7,71 @@
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(lcm1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(lcm1, int_type, IntTypes)
{
- const mp_int_type x("0");
- const mp_int_type y("0");
- const mp_int_type z = boost::mp_math::lcm(x,y);
+ const int_type x("0");
+ const int_type y("0");
+ const int_type z = boost::mp_math::lcm(x,y);
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(lcm2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(lcm2, int_type, IntTypes)
{
- const mp_int_type x("51111");
- const mp_int_type y("0");
- const mp_int_type z = boost::mp_math::lcm(x,y);
+ const int_type x("51111");
+ const int_type y("0");
+ const int_type z = boost::mp_math::lcm(x,y);
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(lcm3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(lcm3, int_type, IntTypes)
{
- const mp_int_type x("4");
- const mp_int_type y("6");
- const mp_int_type z = boost::mp_math::lcm(x,y);
+ const int_type x("4");
+ const int_type y("6");
+ const int_type z = boost::mp_math::lcm(x,y);
+ BOOST_CHECK_EQUAL(z, "12");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lcm4, int_type, IntTypes)
+{
+ const int_type x("-4");
+ const int_type y("6");
+ const int_type z = boost::mp_math::lcm(x,y);
+ BOOST_CHECK_EQUAL(z, "12");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lcm5, int_type, IntTypes)
+{
+ const int_type x("4");
+ const int_type y("-6");
+ const int_type z = boost::mp_math::lcm(x,y);
+ BOOST_CHECK_EQUAL(z, "12");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lcm6, int_type, IntTypes)
+{
+ const int_type x("-4");
+ const int_type y("-6");
+ const int_type z = boost::mp_math::lcm(x,y);
BOOST_CHECK_EQUAL(z, "12");
}
#ifdef BOOST_HAS_VARIADIC_TMPL
-BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_lcm1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_lcm1, int_type, IntTypes)
{
- const mp_int_type a("120");
- const mp_int_type b("204");
- const mp_int_type c("136");
- const mp_int_type z = boost::mp_math::lcm(a,b,c);
+ const int_type a("120");
+ const int_type b("204");
+ const int_type c("136");
+ const int_type z = boost::mp_math::lcm(a,b,c);
BOOST_CHECK_EQUAL(z, "2040");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_lcm2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_lcm2, int_type, IntTypes)
{
- const mp_int_type a("12010");
- const mp_int_type b("3299");
- const mp_int_type c("84780");
- const mp_int_type d("15");
- const mp_int_type z = boost::mp_math::lcm(a,b,c,d);
+ const int_type a("12010");
+ const int_type b("3299");
+ const int_type c("84780");
+ const int_type d("15");
+ const int_type z = boost::mp_math::lcm(a,b,c,d);
BOOST_CHECK_EQUAL(z, "335906753220");
}
#endif
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/modinv.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/modinv.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/modinv.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/modinv.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,20 +6,28 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(modinv1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modinv1, int_type, IntTypes)
{
- mp_int_type a("35");
- mp_int_type m("33");
- mp_int_type i = boost::mp_math::modinv(a, m);
+ const int_type a("35");
+ const int_type m("33");
+ const int_type i = boost::mp_math::modinv(a, m);
BOOST_CHECK_EQUAL(i, "17");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modinv2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modinv2, int_type, IntTypes)
{
- mp_int_type a("17");
- mp_int_type m("26");
- mp_int_type i = boost::mp_math::modinv(a, m);
+ const int_type a("17");
+ const int_type m("26");
+ const int_type i = boost::mp_math::modinv(a, m);
BOOST_CHECK_EQUAL(i, "23");
}
+BOOST_AUTO_TEST_CASE_TEMPLATE(modinv3, int_type, IntTypes)
+{
+ const int_type a("982451111"); // is a prime
+ const int_type m("982451653"); // is a prime
+ const int_type i = boost::mp_math::modinv(a, m);
+ BOOST_CHECK_EQUAL(i, "871880526");
+}
+
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/modpow.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/modpow.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/modpow.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/modpow.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,97 +6,97 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modpow1, int_type, IntTypes)
{
- const mp_int_type x("2");
- const mp_int_type exp("14");
- const mp_int_type m("8");
- const mp_int_type z = modpow(x, exp, m);
+ const int_type x("2");
+ const int_type exp("14");
+ const int_type m("8");
+ const int_type z = boost::mp_math::modpow(x, exp, m);
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modpow2, int_type, IntTypes)
{
- const mp_int_type x("4");
- const mp_int_type exp("13");
- const mp_int_type m("497");
- const mp_int_type z = modpow(x, exp, m);
+ const int_type x("4");
+ const int_type exp("13");
+ const int_type m("497");
+ const int_type z = boost::mp_math::modpow(x, exp, m);
BOOST_CHECK_EQUAL(z, "445");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modpow3, int_type, IntTypes)
{
- const mp_int_type x("2395422");
- const mp_int_type exp("2424832");
- const mp_int_type m("2424833");
- const mp_int_type z = modpow(x, exp, m);
+ const int_type x("2395422");
+ const int_type exp("2424832");
+ const int_type m("2424833");
+ const int_type z = boost::mp_math::modpow(x, exp, m);
BOOST_CHECK_EQUAL(z, "1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modpow4, int_type, IntTypes)
{
- const mp_int_type x("184");
- const mp_int_type exp("560");
- const mp_int_type m("561");
- const mp_int_type z = modpow(x, exp, m);
+ const int_type x("184");
+ const int_type exp("560");
+ const int_type m("561");
+ const int_type z = boost::mp_math::modpow(x, exp, m);
BOOST_CHECK_EQUAL(z, "1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modpow5, int_type, IntTypes)
{
- const mp_int_type x("997028168093060821869770104094480850560519901475");
- const mp_int_type exp("7455602825647884208337395736200454918783366342656");
- const mp_int_type m("7455602825647884208337395736200454918783366342657");
- const mp_int_type z = modpow(x, exp, m);
+ const int_type x("997028168093060821869770104094480850560519901475");
+ const int_type exp("7455602825647884208337395736200454918783366342656");
+ const int_type m("7455602825647884208337395736200454918783366342657");
+ const int_type z = boost::mp_math::modpow(x, exp, m);
BOOST_CHECK_EQUAL(z, "1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow6, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modpow6, int_type, IntTypes)
{
- const mp_int_type x("184");
- const mp_int_type exp("5600");
- const mp_int_type m("2668");
- const mp_int_type z = modpow(x, exp, m);
+ const int_type x("184");
+ const int_type exp("5600");
+ const int_type m("2668");
+ const int_type z = boost::mp_math::modpow(x, exp, m);
BOOST_CHECK_EQUAL(z, "552");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow7, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modpow7, int_type, IntTypes)
{
- const mp_int_type x("0x201abcff00aaffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffd6d7");
- const mp_int_type exp("0x123456789abcdef01");
+ const int_type x("0x201abcff00aaffffffffffffffffffffffffffffffffffffffffff"
+ "ffffffffd6d7");
+ const int_type exp("0x123456789abcdef01");
// a modulus of type unrestricted diminished radix (2^253 - 41);
- const mp_int_type m("0x1fffffffffffffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffd7");
- const mp_int_type z = modpow(x, exp, m);
+ const int_type m("0x1fffffffffffffffffffffffffffffffffffffffffffffffffffff"
+ "ffffffffd7");
+ const int_type z = boost::mp_math::modpow(x, exp, m);
BOOST_CHECK_EQUAL(z, "0x8f112a89871984cde410bb05621d5a6073557d2da0444b6681699"
"80b5ef825a");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow8, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modpow8, int_type, IntTypes)
{
- const mp_int_type x("0x201abcff00aaffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffd6d7123456789abcdef01123456789abcdef01ffffffff");
- const mp_int_type exp("0x123456789abcdef018978979899");
+ const int_type x("0x201abcff00aaffffffffffffffffffffffffffffffffffffffffff"
+ "ffffffffd6d7123456789abcdef01123456789abcdef01ffffffff");
+ const int_type exp("0x123456789abcdef018978979899");
// a modulus of type unrestricted diminished radix slow (2^503 - exp)
- const mp_int_type m("0x7fffffffffffffffffffffffffffffffffffffffffffffffffffff"
- "fffffffffffffffffffffffffffffffffffffffffffffedcba987654"
- "3210fe7687686767");
- const mp_int_type z = modpow(x, exp, m);
+ const int_type m("0x7fffffffffffffffffffffffffffffffffffffffffffffffffffff"
+ "fffffffffffffffffffffffffffffffffffffffffffffedcba987654"
+ "3210fe7687686767");
+ const int_type z = boost::mp_math::modpow(x, exp, m);
BOOST_CHECK_EQUAL(z, "0x1ada35751ae1f5fec7ab0e60f6c924d5f4a4a5d8f6786cdd78838"
"5ab16ebd994ee9aaea5faef3f490822ef443fd3e169caa3b608162e"
"01d40a593e775c9fa5");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(modpow9, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(modpow9, int_type, IntTypes)
{
- const mp_int_type x("0x201abcff00aaffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffd6d7123456789abcdef01123456789abcdef01ffffffff");
- const mp_int_type exp("0x123456789abcdef018978979899");
+ const int_type x("0x201abcff00aaffffffffffffffffffffffffffffffffffffffffff"
+ "ffffffffd6d7123456789abcdef01123456789abcdef01ffffffff");
+ const int_type exp("0x123456789abcdef018978979899");
// a modulus of type restricted diminished radix (2^256 - 53)
- const mp_int_type m("0xffffffffffffffffffffffffffffffffffffffffffffffffffffff"
- "ffffffffcb");
- const mp_int_type z = modpow(x, exp, m);
+ const int_type m("0xffffffffffffffffffffffffffffffffffffffffffffffffffffff"
+ "ffffffffcb");
+ const int_type z = boost::mp_math::modpow(x, exp, m);
BOOST_CHECK_EQUAL(z, "0x777b5d9b290fbb5f99e4668cf1b0f723d3228fc252da492c54b75"
"8379f3024e4");
}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/mul.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/mul.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/mul.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/mul.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,51 +6,60 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul_assign1, int_type, IntTypes)
+{
+ int_type x("12");
+ const int_type y("22459455");
+ x *= y;
+ BOOST_CHECK_EQUAL(x, "269513460");
+}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul1, int_type, IntTypes)
{
- const mp_int_type x("12");
- const mp_int_type y("22459455");
- const mp_int_type z = x * y;
+ const int_type x("12");
+ const int_type y("22459455");
+ const int_type z = x * y;
BOOST_CHECK_EQUAL(z, "269513460");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul2, int_type, IntTypes)
{
- const mp_int_type x("280708");
- const mp_int_type y("2245945");
- const mp_int_type z = x * y;
+ const int_type x("280708");
+ const int_type y("2245945");
+ const int_type z = x * y;
BOOST_CHECK_EQUAL(z, "630454729060");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul3, int_type, IntTypes)
{
- const mp_int_type x("65536");
- const mp_int_type y("65536");
- const mp_int_type z = x * y;
- BOOST_CHECK_EQUAL(z, "4294967296");
+ const int_type x("-65536");
+ const int_type y("65536");
+ const int_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "-4294967296");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul4, int_type, IntTypes)
{
- const mp_int_type x("1234567890123456789");
- const mp_int_type y("9877771234567890123");
- const mp_int_type z = x * y;
+ const int_type x("-1234567890123456789");
+ const int_type y("-9877771234567890123");
+ const int_type z = x * y;
BOOST_CHECK_EQUAL(z, "12194779192182653090000267987090395047");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul5, int_type, IntTypes)
{
- const mp_int_type x("789456120556882111687894651457623561325656871513");
- const mp_int_type y("54564563128978513215");
- const mp_int_type z = x * y;
- BOOST_CHECK_EQUAL(z, "43076328327684465744675616648356768900793087398990591539995027544295");
+ const int_type x("789456120556882111687894651457623561325656871513");
+ const int_type y("54564563128978513215");
+ const int_type z = x * y;
+ const int_type w(
+ "43076328327684465744675616648356768900793087398990591539995027544295");
+ BOOST_CHECK_EQUAL(z, w);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul6, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul6, int_type, IntTypes)
{
// this tests karatsuba multiplication for 8, 16 and 32 bit digit_type
- const mp_int_type x(
+ const int_type x(
"87500402519005030061267904448809305029512439942506161234260852587645856336"
"94640987107484273728362553552515383304557585868121651546490330517814007487"
"34682745159208158750835203309620570274592666481348052963762094268695162425"
@@ -62,7 +71,7 @@
"45994041206565648683544493690427219798945006072652042753387791345064784511"
"50227920502852884378111055250850357557404795594025600468996407045934090727"
"08041078777870387730504");
- const mp_int_type y(
+ const int_type y(
"87500402519005030061267904448809305029512439942506161234260852587645856336"
"94640987107484273728362553552515383304557585868121651546490330517814007487"
"34682745159208158750835203309620570274592666481348052963762094268695162425"
@@ -101,10 +110,10 @@
"13953490712153270721924306359669195669881431604926261623147833800912453474"
"06542388952383807976431616628717886593805647129190060659586374949333503420"
"5241703455510726935");
-
- const mp_int_type z = x * y;
-
- const mp_int_type w(
+
+ const int_type z = x * y;
+
+ const int_type w(
"76563204409879018101322737668344063995824904757312285775560614771886933079"
"77822556905976720912850551355328340715074887289899094852653102687850101285"
"85715275531977696497398396067715769512450915961775500023723324150851793075"
@@ -157,10 +166,10 @@
BOOST_CHECK_EQUAL(z, w);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(mul7, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul7, int_type, IntTypes)
{
// this tests toom cook multiplication for 8, 16 and 32 bit digit_type
- const mp_int_type x(
+ const int_type x(
"0x5004a2519b00503006126bb044af8930502951243994250616123426085258764a856336"
"35702406cff061642794728883255642074744145228324022219347019013411158803532"
"4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
@@ -209,7 +218,7 @@
"dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
"f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
"f84c878148cc7020890befffaa4506cebbef9a3f7c67178f2");
- const mp_int_type y(
+ const int_type y(
"0x875aa402519005030061267904ccc8809d0502243994250616123426085258764585633a"
"94640987107484273728362553552515383304557585868121651546490330517814007487"
"34682745159208158750835203309620570274592666481348052963762094268695162425"
@@ -259,10 +268,10 @@
"13953490712153270721924306359669195669881431604926261623147833800912453474"
"06542388952383807976431616628717886593805647129190060659586374949333503420"
"ffab023789d7d78f78a45a45fee789001a1a");
-
- const mp_int_type z = x * y;
- const mp_int_type w(
+ const int_type z = x * y;
+
+ const int_type w(
"0x2a4ec67dcaf1afdd14bf63d7cd883f269ca00be2cae5c539545352050e33af7bb008713c"
"63587bc02911b0cb1fb807d94cd4a937f6e19801a28500f45ba1dc90a548e8e15e0c31536b"
"39f3940191a76b6fd96fda83c7aa9aa675f536633917587fbdb4990f73dc4650e19af67392"
@@ -360,7 +369,7 @@
"900e091c8e047e6f618acac52dea702c4ca72acd001f2c056291d71e8e7e49ea13afae0d3f"
"66a7d7dd8d6a264ca4be9eb02549bf40e61f1e2e4f01fe4ceafd7855686747eb1b1acd2c96"
"92fcedc94");
-
+
BOOST_CHECK_EQUAL(z, w);
}
Added: sandbox/mp_math/libs/mp_math/test/unbounded/signed/numeric_limits.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/numeric_limits.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,18 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(is_signed, int_type, IntTypes)
+{
+ BOOST_CHECK_EQUAL(std::numeric_limits<int_type>::is_signed, true);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(is_bounded, int_type, IntTypes)
+{
+ BOOST_CHECK_EQUAL(std::numeric_limits<int_type>::is_bounded, false);
+}
+
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/pow.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/pow.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/pow.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/pow.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,52 +6,82 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_1, mp_int_type, mp_int_types)
+/*BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_1, int_type, IntTypes)
{
- mp_int_type x;
+ int_type x;
x.pow2(0);
BOOST_CHECK_EQUAL(x, "1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_2, int_type, IntTypes)
{
- mp_int_type x;
+ int_type x;
x.pow2(1);
BOOST_CHECK_EQUAL(x, "2");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_3, int_type, IntTypes)
{
- mp_int_type x;
+ int_type x;
x.pow2(64);
BOOST_CHECK_EQUAL(x, "18446744073709551616");
}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow1, mp_int_type, mp_int_types)
+*/
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow1, int_type, IntTypes)
{
- const mp_int_type x("2");
- const mp_int_type z = pow(x, 0);
+ const int_type x("2");
+ const int_type z = pow(x, 0);
BOOST_CHECK_EQUAL(z, "1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow2, int_type, IntTypes)
{
- const mp_int_type x("2");
- const mp_int_type z = pow(x, 1);
+ const int_type x("2");
+ const int_type z = pow(x, 1);
BOOST_CHECK_EQUAL(z, "2");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow3, int_type, IntTypes)
{
- const mp_int_type x("2");
- const mp_int_type z = pow(x, 64);
+ const int_type x("2");
+ const int_type z = pow(x, 64);
BOOST_CHECK_EQUAL(z, "18446744073709551616");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow4, int_type, IntTypes)
+{
+ const int_type x("-2");
+ const int_type z = pow(x, 64);
+ BOOST_CHECK_EQUAL(z, "18446744073709551616");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow5, int_type, IntTypes)
+{
+ const int_type x("-2");
+ const int_type z = pow(x, 63);
+ BOOST_CHECK_EQUAL(z, "-0x8000000000000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow6, int_type, IntTypes)
+{
+ const int_type x("-0x5abbdf3478aa00");
+ const int_type z = pow(x, 4);
+ BOOST_CHECK_EQUAL(z,
+ "0x40a2f27784f54fc480bce13f80a50a2ed92396abc2b4b1000000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow7, int_type, IntTypes)
+{
+ const int_type x("-0x5abbdf3478aa00");
+ const int_type z = pow(x, 5);
+ BOOST_CHECK_EQUAL(z,
+ "-0x16e8b8a052d3083215ce1982a007171c266ccb004649d9f8cf36f2f58a00000000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow8, int_type, IntTypes)
{
- const mp_int_type x = pow(mp_int_type("301"), mp_int_type("259"));
- const mp_int_type z(
+ const int_type x = pow(int_type("301"), int_type("259"));
+ const int_type z(
"0x16becbb1b891cbbbab4825ed1335f0f4ef5250f620023061045e87ca80d80ea7daf0cda8"
"023aed1a969864de781297ae556f2bba6d951ae294805dc888f6de01dac2b7dd3ab47db207"
"b0f980f26a54f1c7dbb3ebc6cd5b952cccc67569487fd2aea057d4326cc56aad90ecd89b3c"
@@ -63,10 +93,10 @@
BOOST_CHECK_EQUAL(x, z);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(pow5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow9, int_type, IntTypes)
{
- const mp_int_type x = pow(mp_int_type("3"), mp_int_type("66666"));
- const mp_int_type z(
+ const int_type x = pow(int_type("3"), int_type("66666"));
+ const int_type z(
"0x8a25f1339bf63db8e5881f75e7f89ad860d393776362040a47448cfbcb4a9402558acf60"
"7a590c1fa521b672329cc18a63eca1cadf87465bf8b44ef05fce12fb020ebf2c2b246d9a36"
"af527f947f3d238d3e2504dd5a0f3a071dc98784d1084cbfc4554fc21d72f72ae65766600a"
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/prerequisite.hpp (from r54148, /sandbox/mp_math/libs/mp_math/test/prerequisite.hpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/prerequisite.hpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/prerequisite.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,42 +1,60 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
#include <boost/cstdint.hpp>
-#include <boost/mp_math/mp_int.hpp>
+#include <boost/mp_math/integer.hpp>
#include <boost/mpl/unique.hpp>
#include <boost/mpl/vector.hpp>
#include <boost/type_traits/is_same.hpp>
-//typedef boost::mp_math::mp_int_traits<boost::uint8_t, boost::uint16_t> traits_type;
-//typedef boost::mp_math::mp_int_traits<boost::uint16_t, boost::uint32_t> traits_type;
-//typedef boost::mp_math::mp_int_traits<boost::uint32_t, boost::uint64_t> traits_type;
-//typedef boost::mp_math::mp_int_traits<> traits_type;
-
-//typedef boost::mp_math::mp_int<std::allocator<void>, traits_type> mp_int_type;
-
+static const bool use_debug_mode = true;
typedef boost::mpl::vector<
- boost::mp_math::mp_int<
- std::allocator<void>,
- boost::mp_math::mp_int_traits<boost::uint8_t, boost::uint16_t>
+ boost::mp_math::integer<
+ boost::mp_math::unbounded<
+ true,
+ std::allocator<void>,
+ boost::mp_math::unbounded_traits<
+ boost::uint8_t, boost::uint16_t, std::size_t, use_debug_mode
+ >
+ >
>,
- boost::mp_math::mp_int<
- std::allocator<void>,
- boost::mp_math::mp_int_traits<boost::uint16_t, boost::uint32_t>
+ boost::mp_math::integer<
+ boost::mp_math::unbounded<
+ true,
+ std::allocator<void>,
+ boost::mp_math::unbounded_traits<
+ boost::uint16_t, boost::uint32_t, std::size_t, use_debug_mode
+ >
+ >
>,
#ifndef BOOST_NO_INT64_T
- boost::mp_math::mp_int<
- std::allocator<void>,
- boost::mp_math::mp_int_traits<boost::uint32_t, boost::uint64_t>
+ boost::mp_math::integer<
+ boost::mp_math::unbounded<
+ true,
+ std::allocator<void>,
+ boost::mp_math::unbounded_traits<
+ boost::uint32_t, boost::uint64_t, std::size_t, use_debug_mode
+ >
+ >
>,
#endif
- boost::mp_math::mp_int<>
-> some_mp_int_types;
+ boost::mp_math::integer<boost::mp_math::unbounded<true> >
+> IntTypes2;
+
-typedef boost::mpl::unique<
- some_mp_int_types, boost::is_same<boost::mpl::_1, boost::mpl::_2>
->::type mp_int_types;
+struct IntTypes
+:
+ boost::mpl::if_c<
+ use_debug_mode,
+ IntTypes2,
+ boost::mpl::unique<
+ IntTypes2,
+ boost::is_same<boost::mpl::_1, boost::mpl::_2>
+ >
+ >::type
+{};
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/prime.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/prime.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/prime.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/prime.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -74,7 +74,7 @@
// composites with small factors
composites.push_back("2530121");
-
+
// composites with large factors
// from http://web.mit.edu/kenta/www/three/prime/composites.html.gz
/*composites.push_back("241999944999997");
@@ -151,60 +151,62 @@
// primality tests
-BOOST_AUTO_TEST_CASE_TEMPLATE(prime_is_divisible1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(prime_is_divisible1, int_type, IntTypes)
{
using namespace boost::mp_math;
- fixture<mp_int_type> f;
- typedef typename std::vector<mp_int_type>::const_iterator iter;
+ fixture<int_type> f;
+ typedef typename std::vector<int_type>::const_iterator iter;
for (iter i = f.primes.begin(); i != f.primes.end(); ++i)
BOOST_CHECK_EQUAL(is_prime(*i, primality_division_test()), true);
-
+
for (iter i = f.composites.begin(); i != f.composites.end(); ++i)
BOOST_CHECK_EQUAL(is_prime(*i, primality_division_test()), false);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(prime_fermat_test1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(prime_fermat_test1, int_type, IntTypes)
{
using namespace boost;
mp_math::primality_fermat_test<
- mp_math::uniform_mp_int<mp_int_type>
+ mp_math::uniform_integer<int_type>
> fermat_test(1);
mt19937 rng;
- fixture<mp_int_type> f;
- typedef typename std::vector<mp_int_type>::const_iterator iter;
+ fixture<int_type> f;
+ typedef typename std::vector<int_type>::const_iterator iter;
for (iter i = f.primes.begin(); i != f.primes.end(); ++i)
- BOOST_CHECK_EQUAL(boost::mp_math::is_prime(*i, bind(fermat_test, rng, _1)), true);
-
+ BOOST_CHECK_EQUAL(
+ boost::mp_math::is_prime(*i, bind(fermat_test, rng, _1)), true);
+
for (iter i = f.composites.begin(); i != f.composites.end(); ++i)
- BOOST_CHECK_EQUAL(boost::mp_math::is_prime(*i, bind(fermat_test, rng, _1)), false);
+ BOOST_CHECK_EQUAL(
+ boost::mp_math::is_prime(*i, bind(fermat_test, rng, _1)), false);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(prime_miller_rabin_test1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(prime_miller_rabin_test1, int_type, IntTypes)
{
using namespace boost;
mp_math::primality_miller_rabin_test<
- mp_math::uniform_mp_int<mp_int_type>
+ mp_math::uniform_integer<int_type>
> mr_test;
mt19937 rng;
- fixture<mp_int_type> f;
- typedef typename std::vector<mp_int_type>::const_iterator iter;
+ fixture<int_type> f;
+ typedef typename std::vector<int_type>::const_iterator iter;
for (iter i = f.primes.begin(); i != f.primes.end(); ++i)
BOOST_CHECK_EQUAL(mp_math::is_prime(*i, bind(mr_test, rng, _1)), true);
-
+
for (iter i = f.composites.begin(); i != f.composites.end(); ++i)
BOOST_CHECK_EQUAL(mp_math::is_prime(*i, bind(mr_test, rng, _1)), false);
-
+
for (iter i = f.carmichaels.begin(); i != f.carmichaels.end(); ++i)
BOOST_CHECK_EQUAL(mp_math::is_prime(*i, bind(mr_test, rng, _1)), false);
}
@@ -220,24 +222,27 @@
explicit tester(const Engine& e) : rng(e) {}
- template<class A, class T>
- bool operator()(const boost::mp_math::mp_int<A,T>& p)
+ template<class ApInt>
+ bool operator()(const ApInt& p)
{
return test1(p) && test2(rng, p);
}
};
-BOOST_AUTO_TEST_CASE_TEMPLATE(generate_safe_prime_128bits, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(generate_safe_prime_128bits, int_type, IntTypes)
{
- typedef tester<boost::mt19937, boost::mp_math::uniform_mp_int<mp_int_type> > tester_type;
- typedef boost::mp_math::uniform_mp_int_bits<mp_int_type> distribution_type;
-
+ typedef tester<
+ boost::mt19937, boost::mp_math::uniform_integer<int_type>
+ > tester_type;
+
+ typedef boost::mp_math::uniform_integer_bits<int_type> distribution_type;
+
boost::mt19937 rng;
boost::mp_math::safe_prime_generator<tester_type, distribution_type>
generator(128U, tester_type(rng));
- const mp_int_type safe_prime = generator(rng);
+ const int_type safe_prime = generator(rng);
BOOST_CHECK_EQUAL(safe_prime.precision(), 128U);
}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/random.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/random.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/random.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/random.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,72 +6,73 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int1, mp_int_type, mp_int_types)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_integer1, int_type, IntTypes)
{
- const mp_int_type min(0), max(128);
- boost::mp_math::uniform_mp_int<mp_int_type> g(min, max);
+ const int_type min(0), max(128);
+ boost::mp_math::uniform_integer<int_type> g(min, max);
boost::mt19937 e;
for (int i = 0; i < 128; ++i)
{
- const mp_int_type x = g(e);
+ const int_type x = g(e);
BOOST_REQUIRE_GE(x, min);
BOOST_REQUIRE_LE(x, max);
}
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_integer2, int_type, IntTypes)
{
- const mp_int_type min(11), max("26546549");
- boost::mp_math::uniform_mp_int<mp_int_type> g(min, max);
+ const int_type min(11), max("26546549");
+ boost::mp_math::uniform_integer<int_type> g(min, max);
boost::mt19937 e;
for (int i = 0; i < 1000; ++i)
{
- const mp_int_type x = g(e);
+ const int_type x = g(e);
BOOST_REQUIRE_GE(x, min);
BOOST_REQUIRE_LE(x, max);
}
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_integer_bits1, int_type, IntTypes)
{
BOOST_CHECK_EQUAL(
- boost::mp_math::uniform_mp_int_bits<mp_int_type>::has_fixed_range, false);
+ boost::mp_math::uniform_integer_bits<int_type>::has_fixed_range, false);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_integer_bits2, int_type, IntTypes)
{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(512);
+ boost::mp_math::uniform_integer_bits<int_type> g(512);
boost::mt19937 e;
- const mp_int_type x = g(e);
+ const int_type x = g(e);
BOOST_CHECK_EQUAL(x.precision(), 512U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_integer_bits3, int_type, IntTypes)
{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(71);
+ boost::mp_math::uniform_integer_bits<int_type> g(71);
boost::mt19937 e;
- const mp_int_type x = g(e);
+ const int_type x = g(e);
BOOST_CHECK_EQUAL(x.precision(), 71U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_integer_bits4, int_type, IntTypes)
{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(1001);
+ boost::mp_math::uniform_integer_bits<int_type> g(1001);
boost::mt19937 e;
- const mp_int_type x = g(e);
+ const int_type x = g(e);
BOOST_CHECK_EQUAL(x.precision(), 1001U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_integer_bits5, int_type, IntTypes)
{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(8);
+ boost::mp_math::uniform_integer_bits<int_type> g(8);
BOOST_CHECK_EQUAL(g.min(), 128U);
BOOST_CHECK_EQUAL(g.max(), 255U);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_mp_int_bits6, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(uniform_integer_bits6, int_type, IntTypes)
{
- boost::mp_math::uniform_mp_int_bits<mp_int_type> g(11);
+ boost::mp_math::uniform_integer_bits<int_type> g(11);
BOOST_CHECK_EQUAL(g.min(), 1024U);
BOOST_CHECK_EQUAL(g.max(), 2047U);
}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/root.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/root.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/root.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/root.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,30 +6,44 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt1, int_type, IntTypes)
{
- const mp_int_type x("279841");
- const mp_int_type y = sqrt(x);
+ const int_type x("279841");
+ const int_type y = sqrt(x);
BOOST_CHECK_EQUAL(y, "529");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt2, int_type, IntTypes)
{
- const mp_int_type x("78310985281");
- const mp_int_type y = sqrt(x);
+ const int_type x("78310985281");
+ const int_type y = sqrt(x);
BOOST_CHECK_EQUAL(y, "279841");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root1, int_type, IntTypes)
{
- const mp_int_type x("85766121");
- const mp_int_type y = nth_root(x, 3);
+ const int_type x("130321");
+ const int_type y = nth_root(4, x);
+ BOOST_CHECK_EQUAL(y, "19");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root2, int_type, IntTypes)
+{
+ const int_type x("85766121");
+ const int_type y = nth_root(3, x);
BOOST_CHECK_EQUAL(y, "441");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root3, int_type, IntTypes)
+{
+ const int_type x("-85766121");
+ const int_type y = nth_root(3, x);
+ BOOST_CHECK_EQUAL(y, "-441");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root4, int_type, IntTypes)
{
- const mp_int_type x(
+ const int_type x(
"0x2b93d251afa09c5481f4522279f7c19ca08124199621dfd18342a16c7303b31ccea8176b"
"d4a7a9bf991e30d8bde1e08356a728b9f5729c35d29884050101341228c5df3f98354d42b7"
"a0d7fdfbe8d5270b09ee89ba1eeab61be67eb4471d92fdffa88d1ca494ed3eec58a34ff958"
@@ -37,7 +51,21 @@
"b75cab98f8c4c6f3837977db2a594dfa16943062187ca95babc9da78bdd73ca7233eefc047"
"8d882e0d4f09a5083a31b801964343d47b6ce9e937df8c44a9a02bac5101da1823373e663c"
"1329ece1eb89fc178355660fe1c92c7d8ff11524702fad6e2255447946442356b00810101");
- const mp_int_type y = nth_root(x, mp_int_type("257"));
+ const int_type y = nth_root(int_type("257"), x);
BOOST_CHECK_EQUAL(y, "257");
}
+BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root5, int_type, IntTypes)
+{
+ const int_type x(
+ "-0x2b93d251afa09c5481f4522279f7c19ca08124199621dfd18342a16c7303b31ccea8176b"
+ "d4a7a9bf991e30d8bde1e08356a728b9f5729c35d29884050101341228c5df3f98354d42b7"
+ "a0d7fdfbe8d5270b09ee89ba1eeab61be67eb4471d92fdffa88d1ca494ed3eec58a34ff958"
+ "b518a588584a2505c9c2b19ce1eb21cba36c7a5297cb6e532884e89451f4406b993582f3cd"
+ "b75cab98f8c4c6f3837977db2a594dfa16943062187ca95babc9da78bdd73ca7233eefc047"
+ "8d882e0d4f09a5083a31b801964343d47b6ce9e937df8c44a9a02bac5101da1823373e663c"
+ "1329ece1eb89fc178355660fe1c92c7d8ff11524702fad6e2255447946442356b00810101");
+ const int_type y = nth_root(int_type("257"), x);
+ BOOST_CHECK_EQUAL(y, "-257");
+}
+
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/serialization.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/serialization.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/serialization.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/serialization.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -8,20 +8,28 @@
#include <boost/archive/text_iarchive.hpp>
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-#include <boost/mp_math/mp_int_serialization.hpp>
+#include <boost/mp_math/integer_serialization.hpp>
-BOOST_AUTO_TEST_CASE_TEMPLATE(test_serialization1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_serialization1, int_type, IntTypes)
{
- mp_int_type x("0x123456789abcdef257");
- mp_int_type y;
+ int_type x("-0x123456789abcdef25700000000003a");
+ int_type y;
std::stringstream s;
-
- boost::archive::text_oarchive oa(s);
- oa << x;
-
- boost::archive::text_iarchive ia(s);
- ia >> y;
+
+ // Wrap this in a block so that the text_oarchive dtor writes a terminating
+ // null character to the stream before opening an input archive on it.
+ // See the note on the stream_error exception in the Boost.Serialization
+ // documentation.
+ {
+ boost::archive::text_oarchive oa(s);
+ oa << x;
+ }
+
+ {
+ boost::archive::text_iarchive ia(s);
+ ia >> y;
+ }
BOOST_CHECK_EQUAL(x, y);
}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/shift.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/shift.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/shift.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/shift.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,44 +6,52 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(left_shift1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(left_shift1, int_type, IntTypes)
{
- mp_int_type x("246556567891512374789511237456594795648912323213860000007849");
+ int_type x("12");
+ x <<= 3;
+ const int_type y("96");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(left_shift2, int_type, IntTypes)
+{
+ int_type x("246556567891512374789511237456594795648912323213860000007849");
x <<= 2;
- const mp_int_type y(
+ const int_type y(
"986226271566049499158044949826379182595649292855440000031396");
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(left_shift2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(left_shift3, int_type, IntTypes)
{
- mp_int_type x("246556567891512374789511237456594795648912323213860000007849");
+ int_type x("246556567891512374789511237456594795648912323213860000007849");
x <<= 99;
- const mp_int_type y(
+ const int_type y(
"156273790638943927367154966864556037925514287264587565911690950563681284"
"261029491729498112");
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift1, int_type, IntTypes)
{
- mp_int_type x("246556567891512374789511237456594795648912323213860000007849");
+ int_type x("246556567891512374789511237456594795648912323213860000007849");
x >>= 17;
- mp_int_type y(
+ int_type y(
"1881077330715273855510797404911764493171022973738555908");
BOOST_CHECK_EQUAL(x, y);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift2, int_type, IntTypes)
{
- mp_int_type x("0");
+ int_type x("0");
x >>= 17;
BOOST_CHECK_EQUAL(x, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift3, int_type, IntTypes)
{
- mp_int_type x("14222200");
+ int_type x("14222200");
x >>= 8;
BOOST_CHECK_EQUAL(x, "55555");
}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/sqr.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/sqr.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/sqr.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/sqr.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -7,48 +7,55 @@
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr1, int_type, IntTypes)
{
- const mp_int_type x("123456789");
- const mp_int_type y = x * x;
+ int_type x("-123456789");
+ x *= x;
+ BOOST_CHECK_EQUAL(x, "15241578750190521");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr2, int_type, IntTypes)
+{
+ const int_type x("-123456789");
+ const int_type y = x * x;
BOOST_CHECK_EQUAL(y, "15241578750190521");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr3, int_type, IntTypes)
{
- const mp_int_type x("25");
- const mp_int_type y = x * x;
+ const int_type x("-25");
+ const int_type y = x * x;
BOOST_CHECK_EQUAL(y, "625");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr4, int_type, IntTypes)
{
- const mp_int_type x("300");
- const mp_int_type y = x * x;
- const mp_int_type z("90000");
+ const int_type x("300");
+ const int_type y = x * x;
+ const int_type z("90000");
BOOST_CHECK_EQUAL(y, z);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr5, int_type, IntTypes)
{
- const mp_int_type x("2228218");
- const mp_int_type y = x * x;
+ const int_type x("2228218");
+ const int_type y = x * x;
BOOST_CHECK_EQUAL(y, "4964955455524");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr6, int_type, IntTypes)
{
- const mp_int_type x("999998000001");
- const mp_int_type y = x * x;
- const mp_int_type z("999996000005999996000001");
+ const int_type x("-999998000001");
+ const int_type y = x * x;
+ const int_type z("999996000005999996000001");
BOOST_CHECK_EQUAL(y, z);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sqr6, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr7, int_type, IntTypes)
{
// this tests toom squaring and karatsuba squaring for 8, 16 and 32 bit
// digit_type
- const mp_int_type x(
+ const int_type x(
"0x5004a2519b00503006126bb044af8930502951243994250616123426085258764a856336"
"35702406cff061642794728883255642074744145228324022219347019013411158803532"
"4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
@@ -98,9 +105,9 @@
"f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
"f84c878148cc7020890befffaa4506cebbef9a3f7c67178f2");
- const mp_int_type y = x * x;
-
- const mp_int_type z(
+ const int_type y = x * x;
+
+ const int_type z(
"0x1902e5887a586c505ed49b0ef0db72e959da458fbfe7f7f1738b9da657ebc6b4f3eeda8f3"
"45f86a9439fb0a314af8a6d54e9002f6b9778bc217f31e1c2af869b890e50b105f2a6c8f6d4"
"d9f7ce008697c1ef9f6b1b3d58089517db9a209f0951f3843c9f5dd81da8082a4e79771c9fe"
@@ -196,7 +203,32 @@
"925e2c22b4004fd8e12ab70e2392e190dab556c0227b660cc226f5db558668bcb426a8153bc"
"32af18b8c7dbe3c2ad210300582f823fc5fd7aadc653c2c0b59b3e5362b158793485e56c7c4"
"c4");
-
+
+ BOOST_CHECK_EQUAL(y, z);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr8, int_type, IntTypes)
+{
+ const int_type x(
+ "-0x10ef8a70456e96e5d20ac502fce83ab3218dff7522c2d02088a667bc00eb467c18c5c91"
+ "17bedaf7d79b09357862f8a8eac280a29cfee813f0721484ca7b8010000000000000000000"
+ "00000000000000000000000000000000000000000000000000000000000000000000000000"
+ "00000000000000000000000000000000000000000000000000000000000000000000000000"
+ "0000000000000000000000000");
+
+ const int_type y = x * x;
+
+ const int_type z(
+ "0x11ed171d12cb37289a825658ab14c26a6870e9895c9beff0e5a8c415c68d5bb7991c061e"
+ "99888c8c93d69f4a8aa8b2b4c81d63a1bba5e0191de7511edb701f7e0f4c337c5dbf8e57b6"
+ "54eaacb22f542e3ef3d3ca3d255a8bf76604ad5e4b32164949c50c4144377417897fdcad19"
+ "602dc396ac9c2ed00c9c5b22d8f70010000000000000000000000000000000000000000000"
+ "00000000000000000000000000000000000000000000000000000000000000000000000000"
+ "00000000000000000000000000000000000000000000000000000000000000000000000000"
+ "00000000000000000000000000000000000000000000000000000000000000000000000000"
+ "00000000000000000000000000000000000000000000000000000000000000000000000000"
+ "000000000000000000000000000000000000000000000");
+
BOOST_CHECK_EQUAL(y, z);
}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/stream_io.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/stream_io.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/stream_io.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/stream_io.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,64 +6,64 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(dec_output, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(dec_output, int_type, IntTypes)
{
- const mp_int_type x("1024");
+ const int_type x("-1024");
std::ostringstream os;
os << x;
- BOOST_CHECK_EQUAL(os.str(), "1024");
+ BOOST_CHECK_EQUAL(os.str(), "-1024");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(dec_output_w_showbase, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(dec_output_w_showbase, int_type, IntTypes)
{
- const mp_int_type x("1024");
+ const int_type x("-1024");
std::ostringstream os;
os.setf(std::ios_base::showbase);
os << x;
- BOOST_CHECK_EQUAL(os.str(), "1024");
+ BOOST_CHECK_EQUAL(os.str(), "-1024");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(oct_output, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(oct_output, int_type, IntTypes)
{
- const mp_int_type x("1024");
+ const int_type x("-1024");
std::ostringstream os;
os.setf(std::ios_base::oct, std::ios_base::basefield);
os << x;
- BOOST_CHECK_EQUAL(os.str(), "2000");
+ BOOST_CHECK_EQUAL(os.str(), "-2000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(oct_output_w_showbase, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(oct_output_w_showbase, int_type, IntTypes)
{
- const mp_int_type x("1024");
+ const int_type x("-1024");
std::ostringstream os;
os.setf(std::ios_base::oct, std::ios_base::basefield);
os.setf(std::ios_base::showbase);
os << x;
- BOOST_CHECK_EQUAL(os.str(), "02000");
+ BOOST_CHECK_EQUAL(os.str(), "-02000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output, int_type, IntTypes)
{
- const mp_int_type x("1024");
+ const int_type x("-1024");
std::ostringstream os;
os.setf(std::ios_base::hex, std::ios_base::basefield);
os << x;
- BOOST_CHECK_EQUAL(os.str(), "400");
+ BOOST_CHECK_EQUAL(os.str(), "-400");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase, int_type, IntTypes)
{
- const mp_int_type x("1024");
+ const int_type x("-1024");
std::ostringstream os;
os.setf(std::ios_base::hex, std::ios_base::basefield);
os.setf(std::ios_base::showbase);
os << x;
- BOOST_CHECK_EQUAL(os.str(), "0x400");
+ BOOST_CHECK_EQUAL(os.str(), "-0x400");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase_and_uppercase, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase_and_uppercase, int_type, IntTypes)
{
- const mp_int_type x("0xabcdef0");
+ const int_type x("0xabcdef0");
std::ostringstream os;
os.setf(std::ios_base::hex, std::ios_base::basefield);
os.setf(std::ios_base::showbase | std::ios_base::uppercase);
@@ -71,54 +71,54 @@
BOOST_CHECK_EQUAL(os.str(), "0XABCDEF0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase_and_showpos, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase_and_showpos, int_type, IntTypes)
{
- const mp_int_type x("1024");
+ const int_type x("-1024");
std::ostringstream os;
os.setf(std::ios_base::hex, std::ios_base::basefield);
os.setf(std::ios_base::showbase | std::ios_base::showpos);
os << x;
- BOOST_CHECK_EQUAL(os.str(), "+0x400");
+ BOOST_CHECK_EQUAL(os.str(), "-0x400");
}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(dec_input1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(dec_input1, int_type, IntTypes)
{
- mp_int_type x;
+ int_type x;
std::stringstream s;
s << "-123456";
s >> x;
BOOST_CHECK_EQUAL(x, "-123456");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(dec_input2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(dec_input2, int_type, IntTypes)
{
- mp_int_type x, y;
+ int_type x, y;
std::stringstream s;
- s << "-123456";
+ s << "123456";
s << " " << "987654321";
s >> x;
- BOOST_CHECK_EQUAL(x, "-123456");
+ BOOST_CHECK_EQUAL(x, "123456");
BOOST_REQUIRE(s.good());
s >> y;
BOOST_CHECK_EQUAL(y, "987654321");
BOOST_CHECK(s.good());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(oct_input, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(oct_input, int_type, IntTypes)
{
- mp_int_type x;
+ int_type x;
std::stringstream s;
s << "0123456";
s >> x;
BOOST_CHECK_EQUAL(x, "0123456");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(hex_input, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_input, int_type, IntTypes)
{
- mp_int_type x;
+ int_type x;
std::stringstream s;
- s << "0xFFFFAB01";
+ s << "-0xFFFFAB01";
s >> x;
- BOOST_CHECK_EQUAL(x, "0xFFFFAB01");
+ BOOST_CHECK_EQUAL(x, "-0xFFFFAB01");
}
+
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/string_ops.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/string_ops.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/string_ops.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/string_ops.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,146 +6,91 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string1, int_type, IntTypes)
{
- const mp_int_type x("0xabcdef123456789");
+ const int_type x("0xabcdef123456789");
const std::string s =
x.template to_string<std::string>(std::ios::hex | std::ios::showbase);
BOOST_CHECK_EQUAL(s, "0xabcdef123456789");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string2, int_type, IntTypes)
{
- const mp_int_type x("12345678901234567890");
+ const int_type x("12345678901234567890");
const std::string s = x.template to_string<std::string>();
BOOST_CHECK_EQUAL(s, "12345678901234567890");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string3, int_type, IntTypes)
{
- const mp_int_type x("0xabcdef123456789");
+ const int_type x("0xabcdef123456789");
const std::string s = x.template to_string<std::string>(
std::ios::hex | std::ios::showbase | std::ios::uppercase);
BOOST_CHECK_EQUAL(s, "0XABCDEF123456789");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string4, int_type, IntTypes)
{
- const mp_int_type x("76484675");
+ const int_type x("76484675");
const std::string s = x.template to_string<std::string>(std::ios::oct);
BOOST_CHECK_EQUAL(s, "443610103");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string5, int_type, IntTypes)
{
- const mp_int_type x("1024");
+ const int_type x("1024");
const std::string s = x.template to_string<std::string>(std::ios::oct);
BOOST_CHECK_EQUAL(s, "2000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string6, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string6, int_type, IntTypes)
{
- const mp_int_type x("0");
+ const int_type x("0");
const std::string s =
x.template to_string<std::string>(
std::ios_base::dec | std::ios_base::showbase | std::ios_base::showpos);
BOOST_CHECK_EQUAL(s, "+0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string7, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string7, int_type, IntTypes)
{
- const mp_int_type x("0");
+ const int_type x("0");
const std::string s =
x.template to_string<std::string>(
std::ios_base::oct | std::ios_base::showbase | std::ios_base::showpos);
BOOST_CHECK_EQUAL(s, "+0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string8, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string8, int_type, IntTypes)
{
- const mp_int_type x("-0");
+ const int_type x("-0");
const std::string s =
x.template to_string<std::string>(
std::ios_base::oct | std::ios_base::showbase | std::ios_base::showpos);
BOOST_CHECK_EQUAL(s, "+0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string9, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string9, int_type, IntTypes)
{
- const mp_int_type x("-1");
+ const int_type x("-1");
const std::string s =
x.template to_string<std::string>(
std::ios_base::hex | std::ios_base::showbase | std::ios_base::showpos);
BOOST_CHECK_EQUAL(s, "-0x1");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string10, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string10, int_type, IntTypes)
{
- const mp_int_type x("0x95a6801ce5292b9a8410e1a59dd29967");
+ const int_type x("0x95a6801ce5292b9a8410e1a59dd29967");
const std::string s =
x.template to_string<std::string>(std::ios_base::hex);
BOOST_CHECK_EQUAL(s, "95a6801ce5292b9a8410e1a59dd29967");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string11, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string11, int_type, IntTypes)
{
- const mp_int_type x("0x12471fa56d6");
+ const int_type x("0x12471fa56d6");
const std::string s = x.template to_string<std::string>();
BOOST_CHECK_EQUAL(s, "1256042682070");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign1, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x = "269513460";
- BOOST_CHECK_EQUAL(x, "269513460");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign2, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x = "0xabcdef123456789";
- BOOST_CHECK_EQUAL(x, "0xabcdef123456789");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign3, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x = "012345676543210000001";
- BOOST_CHECK_EQUAL(x, "012345676543210000001");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign4, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x = "0";
- BOOST_CHECK_EQUAL(!x, true);
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign5, mp_int_type, mp_int_types)
-{
- mp_int_type x("0xabcedf03030303");
- x = "-012345676543210000001";
- BOOST_CHECK_EQUAL(x, "-012345676543210000001");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(assign1, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x.assign("123456789876543210000001", std::ios::dec);
- BOOST_CHECK_EQUAL(x, "123456789876543210000001");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(assign2, mp_int_type, mp_int_types)
-{
- mp_int_type x;
- x.assign("abcdefabcdef1234567890", std::ios::hex);
- BOOST_CHECK_EQUAL(x, "0xabcdefabcdef1234567890");
-}
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(assign3, mp_int_type, mp_int_types)
-{
- mp_int_type x("-564897123123456456789789789897");
- x.assign("1234567000000000000000000000000077", std::ios::oct);
- BOOST_CHECK_EQUAL(x, "01234567000000000000000000000000077");
-}
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/sub.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/sub.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/sub.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/sub.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,125 +6,132 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub_assign1, int_type, IntTypes)
{
- const mp_int_type x("123456");
- const mp_int_type y("987777");
- const mp_int_type z = x - y;
+ int_type x("0xf2378eeec78234932222111000000f");
+ x -= x;
+ BOOST_CHECK_EQUAL(x, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub1, int_type, IntTypes)
+{
+ const int_type x("123456");
+ const int_type y("987777");
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "-864321");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub2, int_type, IntTypes)
{
- const mp_int_type x("955588990000001");
- const mp_int_type y("9801");
- const mp_int_type z = x - y;
+ const int_type x("955588990000001");
+ const int_type y("9801");
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "955588989990200");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub3, int_type, IntTypes)
{
- const mp_int_type x("99999991");
- const mp_int_type y("987654321000123456789");
- const mp_int_type z = x - y;
+ const int_type x("99999991");
+ const int_type y("987654321000123456789");
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "-987654321000023456798");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub4, int_type, IntTypes)
{
- const mp_int_type x(
+ const int_type x(
"49144609407766890328547643707523663509662747376486271392344480900673178645"
"33198519112197059826509662943577383543858946941049753393431035706592040680"
"43848484065292542884106550381079282660840705126574766636237650938379223350"
"073087806800887586256085275775217219429527000017403144");
- const mp_int_type y(
+ const int_type y(
"49144609407766890328547643707523663509662747376486271392344480900673178645"
"33198519112197059826509662943577383543858946941049753393431035706592040680"
"43848484065292542884106550381079282660840705126574766636237650938379223350"
"073087806800887586256085275775217219429527000017403144");
- const mp_int_type z = x - y;
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub5, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub5, int_type, IntTypes)
{
- const mp_int_type x(
+ const int_type x(
"21665907282124706187656074325458499695895652068822763794228458103499408841");
- const mp_int_type y(
+ const int_type y(
"173087806800887586256085275775299999999889978789789");
- const mp_int_type z = x - y;
- const mp_int_type w(
+ const int_type z = x - y;
+ const int_type w(
"21665907282124706187655901237651698808309395983546988494228458213520619052");
BOOST_CHECK_EQUAL(z, w);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub6, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub6, int_type, IntTypes)
{
- const mp_int_type x("0xff");
- const mp_int_type y("0x1000ff0000000");
- const mp_int_type z = x - y;
+ const int_type x("0xff");
+ const int_type y("0x1000ff0000000");
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "-0x1000fefffff01");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub7, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub7, int_type, IntTypes)
{
- const mp_int_type x("1000000");
- const mp_int_type y("-1000000");
- const mp_int_type z = x - y;
+ const int_type x("1000000");
+ const int_type y("-1000000");
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "2000000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub8, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub8, int_type, IntTypes)
{
- const mp_int_type x("-1000000");
- const mp_int_type y("1000000");
- const mp_int_type z = x - y;
+ const int_type x("-1000000");
+ const int_type y("1000000");
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "-2000000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub9, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub9, int_type, IntTypes)
{
- const mp_int_type x("-123456789");
- const mp_int_type y("-123456789");
- const mp_int_type z = x - y;
+ const int_type x("-123456789");
+ const int_type y("-123456789");
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "0");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(sub10, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub10, int_type, IntTypes)
{
- const mp_int_type x("-1000000");
- const mp_int_type y("-2500000");
- const mp_int_type z = x - y;
+ const int_type x("-1000000");
+ const int_type y("-2500000");
+ const int_type z = x - y;
BOOST_CHECK_EQUAL(z, "1500000");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(decrement1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(decrement1, int_type, IntTypes)
{
- mp_int_type x("0");
+ int_type x("0");
for (int i = 0; i < 10; ++i)
--x;
BOOST_CHECK_EQUAL(x, "-10");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(decrement2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(decrement2, int_type, IntTypes)
{
- mp_int_type x("4");
+ int_type x("4");
for (int i = 0; i < 10; ++i)
--x;
BOOST_CHECK_EQUAL(x, "-6");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(decrement3, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(decrement3, int_type, IntTypes)
{
- mp_int_type x("-120");
+ int_type x("-120");
for (int i = 0; i < 10; ++i)
--x;
BOOST_CHECK_EQUAL(x, "-130");
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(decrement4, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(decrement4, int_type, IntTypes)
{
- mp_int_type x("130");
+ int_type x("130");
for (int i = 0; i < 10; ++i)
--x;
BOOST_CHECK_EQUAL(x, "120");
Added: sandbox/mp_math/libs/mp_math/test/unbounded/signed/swap.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/swap.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,58 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(swap1, int_type, IntTypes)
+{
+ int_type x("-0xabff23742384bf892734029323819048039");
+ int_type y("0x1fee55d048039");
+
+ boost::mp_math::swap(x, y);
+
+ BOOST_CHECK_EQUAL(x, "0x1fee55d048039");
+ BOOST_CHECK_EQUAL(y, "-0xabff23742384bf892734029323819048039");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(swap2, int_type, IntTypes)
+{
+ int_type x("-0xabff23742384bf892734029323819048039");
+ int_type y("-0x1fee55d048039");
+
+ x.swap(y);
+
+ BOOST_CHECK_EQUAL(x, "-0x1fee55d048039");
+ BOOST_CHECK_EQUAL(y, "-0xabff23742384bf892734029323819048039");
+}
+
+#ifdef BOOST_HAS_RVALUE_REFS
+BOOST_AUTO_TEST_CASE_TEMPLATE(swap3, int_type, IntTypes)
+{
+ int_type x;
+ int_type y;
+
+ boost::mp_math::swap(int_type("-0x1fee55d048039"), x);
+ boost::mp_math::swap(y, int_type("-0x1fee55d048039"));
+
+ BOOST_CHECK_EQUAL(x, "-0x1fee55d048039");
+ BOOST_CHECK_EQUAL(y, "-0x1fee55d048039");
+}
+#endif
+
+#include <algorithm>
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(swap4, int_type, IntTypes)
+{
+ int_type x("-0xabff23742384bf892734029323819048039");
+ int_type y("0x1fee55d048039");
+
+ std::swap(x, y);
+
+ BOOST_CHECK_EQUAL(x, "0x1fee55d048039");
+ BOOST_CHECK_EQUAL(y, "-0xabff23742384bf892734029323819048039");
+}
+
Copied: sandbox/mp_math/libs/mp_math/test/unbounded/signed/to_integral.cpp (from r54148, /sandbox/mp_math/libs/mp_math/test/to_integral.cpp)
==============================================================================
--- /sandbox/mp_math/libs/mp_math/test/to_integral.cpp (original)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/signed/to_integral.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,130 +6,132 @@
#include <boost/test/unit_test.hpp>
#include "prerequisite.hpp"
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_char1, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_char1, int_type, IntTypes)
{
- mp_int_type x("123");
- char z = x.template to_integral<char>();
+ const int_type x("123");
+ const char z = x.template to_integral<char>();
BOOST_CHECK_EQUAL(z, 123);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_char2, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_char2, int_type, IntTypes)
{
- mp_int_type x("-123");
- char z = x.template to_integral<char>();
+ const int_type x("-123");
+ const char z = x.template to_integral<char>();
BOOST_CHECK_EQUAL(z, -123);
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_char_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_char_min, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<char>::min());
- char z = x.template to_integral<char>();
+ const int_type x(std::numeric_limits<char>::min());
+ const char z = x.template to_integral<char>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<char>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_char_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_char_max, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<char>::max());
- int z = x.template to_integral<char>();
+ const int_type x(std::numeric_limits<char>::max());
+ const int z = x.template to_integral<char>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<char>::max());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_char_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_char_min, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<unsigned char>::min());
- unsigned char z = x.template to_integral<unsigned char>();
+ int_type x(std::numeric_limits<unsigned char>::min());
+ const unsigned char z = x.template to_integral<unsigned char>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned char>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_char_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_char_max, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<unsigned char>::max());
- unsigned char z = x.template to_integral<unsigned char>();
+ int_type x(std::numeric_limits<unsigned char>::max());
+ const unsigned char z = x.template to_integral<unsigned char>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned char>::max());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_int_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_int_min, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<int>::min());
- int z = x.template to_integral<int>();
+ int_type x(std::numeric_limits<int>::min());
+ const int z = x.template to_integral<int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_int_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_int_max, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<int>::max());
- int z = x.template to_integral<int>();
+ int_type x(std::numeric_limits<int>::max());
+ const int z = x.template to_integral<int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::max());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_int_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_int_min, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<unsigned int>::min());
- unsigned int z = x.template to_integral<unsigned int>();
+ int_type x(std::numeric_limits<unsigned int>::min());
+ const unsigned int z = x.template to_integral<unsigned int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned int>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_int_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_int_max, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<unsigned int>::max());
- unsigned int z = x.template to_integral<unsigned int>();
+ int_type x(std::numeric_limits<unsigned int>::max());
+ const unsigned int z = x.template to_integral<unsigned int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned int>::max());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_int_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_int_min, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<long int>::min());
- long int z = x.template to_integral<long int>();
+ int_type x(std::numeric_limits<long int>::min());
+ const long int z = x.template to_integral<long int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<long int>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_int_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_int_max, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<long int>::max());
- long int z = x.template to_integral<long int>();
+ int_type x(std::numeric_limits<long int>::max());
+ const long int z = x.template to_integral<long int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<long int>::max());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_int_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_int_min, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<unsigned long int>::min());
- unsigned long int z = x.template to_integral<unsigned long int>();
+ int_type x(std::numeric_limits<unsigned long int>::min());
+ const unsigned long int z = x.template to_integral<unsigned long int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long int>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_int_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_int_max, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<unsigned long int>::max());
- unsigned long int z = x.template to_integral<unsigned long int>();
+ int_type x(std::numeric_limits<unsigned long int>::max());
+ const unsigned long int z = x.template to_integral<unsigned long int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long int>::max());
}
#ifdef BOOST_HAS_LONG_LONG
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_long_int_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_long_int_min, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<long long int>::min());
- long long int z = x.template to_integral<long long int>();
+ int_type x(std::numeric_limits<long long int>::min());
+ const long long int z = x.template to_integral<long long int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<long long int>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_long_int_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_long_int_max, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<long long int>::max());
- long long int z = x.template to_integral<long long int>();
+ int_type x(std::numeric_limits<long long int>::max());
+ const long long int z = x.template to_integral<long long int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<long long int>::max());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_long_int_min, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_long_int_min, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<unsigned long long int>::min());
- unsigned long long int z = x.template to_integral<unsigned long long int>();
+ int_type x(std::numeric_limits<unsigned long long int>::min());
+ const unsigned long long int z =
+ x.template to_integral<unsigned long long int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long long int>::min());
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_long_int_max, mp_int_type, mp_int_types)
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_long_int_max, int_type, IntTypes)
{
- mp_int_type x(std::numeric_limits<unsigned long long int>::max());
- unsigned long long int z = x.template to_integral<unsigned long long int>();
+ int_type x(std::numeric_limits<unsigned long long int>::max());
+ const unsigned long long int z =
+ x.template to_integral<unsigned long long int>();
BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long long int>::max());
}
#endif
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/abs.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/abs.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,15 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(abs1, uint_type, UIntTypes)
+{
+ const uint_type x("0x123abdddfe4983");
+ const uint_type y = boost::mp_math::abs(x);
+ BOOST_CHECK_EQUAL(y, x);
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/add.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/add.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,149 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers1, uint_type, UIntTypes)
+{
+ const uint_type x("123456");
+ const uint_type y("987777");
+ const uint_type z = x + y;
+ BOOST_CHECK_EQUAL(z, "1111233");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers2, uint_type, UIntTypes)
+{
+ const uint_type x("999");
+ const uint_type y("123456");
+ const uint_type z = x + y;
+ BOOST_CHECK_EQUAL(z, "124455");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers3, uint_type, UIntTypes)
+{
+ const uint_type x("21474836470");
+ const uint_type y("1234567845600");
+ const uint_type z = x + y;
+ BOOST_CHECK_EQUAL(z, "1256042682070");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers4, uint_type, UIntTypes)
+{
+ const uint_type x("0xffffffffffffffff");
+ const uint_type y("0xffffffffffffffff");
+ const uint_type z = x + y;
+ BOOST_CHECK_EQUAL(z, "0x1fffffffffffffffe");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_positive_numbers5, uint_type, UIntTypes)
+{
+ const uint_type x("0xffffffffffffffff");
+ const uint_type y("0xffffffff");
+ const uint_type z = x + y;
+ BOOST_CHECK_EQUAL(z, "0x100000000fffffffe");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_large_and_small, uint_type, UIntTypes)
+{
+ uint_type x("123456789");
+ uint_type y("123");
+ uint_type z = x + y;
+ BOOST_CHECK_EQUAL(z, "123456912");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_small_and_large, uint_type, UIntTypes)
+{
+ uint_type x("123");
+ uint_type y("123456789");
+ uint_type z = x + y;
+ BOOST_CHECK_EQUAL(z, "123456912");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_large_and_large, uint_type, UIntTypes)
+{
+ uint_type x(
+ "76563204409879018101322737668344063995824904757312285775560614771886933079"
+ "77822556905976720912850551355328340715074887289899094852653102687850101285"
+ "85715275531977696497398396067715769512450915961775500023723324150851793075"
+ "51871751151095323159497918186624088118225730504044262785072662119470825604"
+ "40835072257208973943520251201155002832786969323087571220195329601804141972"
+ "71293425859967733061169954398382700046379970842289727254846347411792122453"
+ "98890529530611217475343335863666953662801553948341581412563112340543629531"
+ "01094529771464590172847457807673685591148055046712881378811934516545088775"
+ "38198087116656466935095055228728162461388333618793883566996616940381738437"
+ "03453867953392241443573580380271627517797446062394044787118140775664622031"
+ "49144609407766890328547643707523663509662747376486271392344480900673178645"
+ "33198519112197059826509662943577383543858946941049753393431035706592040680"
+ "43848484065292542884106550381079282660840705126574766636237650938379223350"
+ "073087806800887586256085275775217219429527000017403144");
+
+ uint_type y(
+ "29156720459736055974643337783563754269574952607968485689453462316428566668"
+ "95504701770860331979649536167161534866285341319360225416010322271645564229"
+ "97610536562445338176729838019564690253931232562709745122032537539983616770"
+ "01864876491464203683664927984801289460556480278145114367860332493722569194"
+ "34026051618152579992400234314328079213866348120156368725488604236521299603"
+ "05243915357553896356662519397274629471920043679673543282319268893065423613"
+ "03777840501083119668898860689222271939900089123195611475211708096094521743"
+ "23436842195705603262202927396682954198215622617086455718070601797199587530"
+ "86110222151397352239086193648500251298495752840008363650931395221675337916"
+ "21665907282124706187656074325458499695895652068822763794228458103499408841"
+ "68233732651102406546734395563663969020820490032431359396293047454261598159"
+ "68165818673838448637209074584819780088546111644065538550490486693301185614"
+ "61602638472505490238203390055056474763248195271964604045005807592301719483"
+ "66411676459481184297663915491569500245585996483678005964410842919747216111"
+ "69086269285356198998091850661544255466466926579668887000118948737207396398"
+ "39189399212362197497646493143022100680619252808094160907526003969639965485"
+ "31238493375062268758735445211914107215235958346264702774326161208396163240"
+ "36339482493382189215697343908873498104516190541170342091008828518924813674"
+ "46253090923280613514725437269574928515018666111820866090440006060807129643"
+ "38626199608899966829344884873038261232122027815715568990196536130996880104"
+ "97887027262726591236620461428328000537452828616386217063092509908555188454"
+ "27278763741671312528892659532960085933913140197210561287118971031419725940"
+ "702202830556069344716729071140147820999566475298895832");
+ uint_type z = x + y;
+ BOOST_CHECK_EQUAL(z,
+ "29156720459736055974643337783563754269574952607968485689453462316428566668"
+ "95504701770860331979649536167161534866285341319360225416010322271645564229"
+ "97610536562445338176729838019564690253931232562709745122032537539983616770"
+ "01864876491464203683664927984801289460556480278145114367860332493722569194"
+ "34026051618152579992400234314328079213866348120156368725488604236521299603"
+ "05243915357553896356662519397274629471920043679673543282319268893065423613"
+ "03777840501083119668898860689222271939900089123195611475211708096094521743"
+ "23436842195705603262202927396682954198215622617086455718070601797199587530"
+ "86110222151397352239086193648500251298495752840008363650931395221675337916"
+ "98229111692003724288978811993802563691720556826135049569789072875386341921"
+ "46056289557079127459584946918992309735895377322330454248946150142111699445"
+ "53881094205816145134607470652535549600997027605841038574213810844152978690"
+ "13474389623600813397701308241680562881473925776008866830078469711772545088"
+ "07246748716690158241184166692724503078372965806765577184606172521551358084"
+ "40379695145323932059261805059926955512846897421958614254965296148999518852"
+ "38079928742973414972989829006689054343420806756435742320089116310183595016"
+ "32333023146526858931582903019587792806384013392977584153138095724941252015"
+ "74537569610038656150792399137601660565904524159964225658005445459306552111"
+ "49706958876672854958299017649846556032816112174214910877558146836471751674"
+ "87770809016666857157892528580561924741784775192201840382541017031670058750"
+ "31085546374923651063130124371905384081311775557435970456523545615147229134"
+ "71127247806963855412999209914039368594753845323785327923356621969798949290"
+ "775290637356956930972814346915365040429093475316298976");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(increment1, uint_type, UIntTypes)
+{
+ uint_type x("0");
+ for (int i = 0; i < 10; ++i)
+ ++x;
+ BOOST_CHECK_EQUAL(x, "10");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(increment2, uint_type, UIntTypes)
+{
+ uint_type x("120");
+ for (int i = 0; i < 10; ++i)
+ ++x;
+ BOOST_CHECK_EQUAL(x, "130");
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/bitmanipulation.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/bitmanipulation.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,113 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits1, uint_type, UIntTypes)
+{
+ uint_type x("0xff00000000ff");
+ x.set_bits(8, 40);
+ BOOST_CHECK_EQUAL(x, "0xffffffffffff");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits2, uint_type, UIntTypes)
+{
+ uint_type x("0x8000");
+ x.set_bits(2, 7);
+ BOOST_CHECK_EQUAL(x, "0x807c");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits3, uint_type, UIntTypes)
+{
+ uint_type x("0x80000000000000");
+ x.set_bits(12, 13);
+ BOOST_CHECK_EQUAL(x, "0x80000000001000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits4, uint_type, UIntTypes)
+{
+ uint_type x("0x8000000000000000");
+ x.set_bits(0, 18);
+ BOOST_CHECK_EQUAL(x, "0x800000000003FFFF");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(set_bits5, uint_type, UIntTypes)
+{
+ uint_type x("0x80000000");
+ x.set_bits(8, 16);
+ BOOST_CHECK_EQUAL(x, "0x8000FF00");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits1, uint_type, UIntTypes)
+{
+ uint_type x("0xffffffffffff");
+ x.clear_bits(8, 40);
+ BOOST_CHECK_EQUAL(x, "0xff00000000ff");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits2, uint_type, UIntTypes)
+{
+ uint_type x("0x807c");
+ x.clear_bits(2, 7);
+ BOOST_CHECK_EQUAL(x, "0x8000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits3, uint_type, UIntTypes)
+{
+ uint_type x("0x80000000001000");
+ x.clear_bits(12, 13);
+ BOOST_CHECK_EQUAL(x, "0x80000000000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits4, uint_type, UIntTypes)
+{
+ uint_type x("0x800000000003FFFF");
+ x.clear_bits(0, 18);
+ BOOST_CHECK_EQUAL(x, "0x8000000000000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(clear_bits5, uint_type, UIntTypes)
+{
+ uint_type x("0x8000FF00");
+ x.clear_bits(8, 16);
+ BOOST_CHECK_EQUAL(x, "0x80000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate1, uint_type, UIntTypes)
+{
+ uint_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
+ x.truncate(32);
+ BOOST_CHECK_EQUAL(x, "0xFFFFFFFF");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate2, uint_type, UIntTypes)
+{
+ uint_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
+ x.truncate(0);
+ BOOST_CHECK_EQUAL(x, "");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate3, uint_type, UIntTypes)
+{
+ uint_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
+ x.truncate(1);
+ BOOST_CHECK_EQUAL(x, "1");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate4, uint_type, UIntTypes)
+{
+ uint_type x("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
+ x.truncate(31);
+ BOOST_CHECK_EQUAL(x, "0x7FFFFFFF");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(truncate5, uint_type, UIntTypes)
+{
+ uint_type x("0xFFFFFFFFFFFFFFFFFFFF");
+ x.truncate(80);
+ BOOST_CHECK_EQUAL(x, "0xFFFFFFFFFFFFFFFFFFFF");
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/bitwise_ops.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/bitwise_ops.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,56 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(and_op1, uint_type, UIntTypes)
+{
+ const uint_type x("0x00ff0000000f");
+ const uint_type y("0xffffffffffff");
+ const uint_type z = x & y;
+ BOOST_CHECK_EQUAL(z, x);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(and_op2, uint_type, UIntTypes)
+{
+ const uint_type x("0x00ff0000000ffffffffff");
+ const uint_type y( "0xffffffffffff");
+ const uint_type z = x & y;
+ BOOST_CHECK_EQUAL(z, "0xffffffffff");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(or_op1, uint_type, UIntTypes)
+{
+ const uint_type x("0x00ff0000000f");
+ const uint_type y("0xffffffffffff");
+ const uint_type z = x | y;
+ BOOST_CHECK_EQUAL(z, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(or_op2, uint_type, UIntTypes)
+{
+ const uint_type x("0x00ff0000000ffffffffff");
+ const uint_type y( "0xaaffffffffff");
+ const uint_type z = x | y;
+ BOOST_CHECK_EQUAL(z, "0x00ff00000aaffffffffff");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op1, uint_type, UIntTypes)
+{
+ const uint_type x("0x00ff0000000f");
+ const uint_type y("0xffffffffffff");
+ const uint_type z = x ^ y;
+ BOOST_CHECK_EQUAL(z, "0xff00fffffff0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(xor_op2, uint_type, UIntTypes)
+{
+ const uint_type x("0x00ff0000000ffffffffff");
+ const uint_type y( "0x33aaffffffff");
+ const uint_type z = x ^ y;
+ BOOST_CHECK_EQUAL(z,"0x00ff00000335500000000");
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/bool_conversion.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/bool_conversion.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,49 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool1, uint_type, UIntTypes)
+{
+ // this just tests operator == (const uint_type&, bool)
+ const uint_type x("1");
+ const uint_type y("0");
+ BOOST_CHECK_EQUAL(x, true);
+ BOOST_CHECK_EQUAL(y, false);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool_or, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const uint_type y("0");
+ const bool z = x || y;
+ BOOST_CHECK_EQUAL(z, true);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool_and1, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const uint_type y("0");
+ const bool z = x && y;
+ BOOST_CHECK_EQUAL(z, false);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool_and2, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const uint_type y("1");
+ const bool z = x && y;
+ BOOST_CHECK_EQUAL(z, true);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bool_loop_condition, uint_type, UIntTypes)
+{
+ uint_type x("5");
+ while (x)
+ --x;
+ BOOST_CHECK_EQUAL(x, false);
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/cmp.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/cmp.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,372 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_eq1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type y("0");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_eq2, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const uint_type y("1");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_eq3, uint_type, UIntTypes)
+{
+ const uint_type x("0xeeffeeeeee000000000000001");
+ const uint_type y("0xeeffeeeeee000000000000001");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ne1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type y("1");
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ne2, uint_type, UIntTypes)
+{
+ const uint_type x("0xaaaaaaaaaaaaaaeeeeeeeeeeeeeee");
+ const uint_type y("0xaaaaaaaaaaaaaabbbbbbbbbbbbbb8");
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt1, uint_type, UIntTypes)
+{
+ const uint_type x("12");
+ const uint_type y("13");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt2, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const uint_type y("123456789");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt3, uint_type, UIntTypes)
+{
+ const uint_type x("0x100000000000000000000");
+ const uint_type y("0x100000000000000000001");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_lt4, uint_type, UIntTypes)
+{
+ const uint_type x("15");
+ const uint_type y("1023");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_gt1, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const uint_type y("0");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_gt2, uint_type, UIntTypes)
+{
+ const uint_type x("0xfffffffffffffffffffffffff");
+ const uint_type y("0");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_gt3, uint_type, UIntTypes)
+{
+ const uint_type x("0xffffffffffffffeeeeeeeeeee1");
+ const uint_type y("0xffffffffffffffeeeeeeeeeee0");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type y("0");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le2, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type y("1");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le3, uint_type, UIntTypes)
+{
+ const uint_type x("0x123456789fffffffffff");
+ const uint_type y("0x123456789fffffffffff");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_le4, uint_type, UIntTypes)
+{
+ const uint_type x("0x11");
+ const uint_type y("0x49941faaaaaaaa332134");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ge1, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const uint_type y("1");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ge2, uint_type, UIntTypes)
+{
+ const uint_type x("0xa0a0");
+ const uint_type y("0");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cmp_ge3, uint_type, UIntTypes)
+{
+ const uint_type x("0xff00ff00000000000000001ff");
+ const uint_type y("0xff00ff00000000000000000ff");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const int y = 0;
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_integral2, uint_type, UIntTypes)
+{
+ const uint_type x("20");
+ const unsigned int y = 20;
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_integral3, uint_type, UIntTypes)
+{
+ const uint_type x("30000");
+ const int y = 30000;
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_integral4, uint_type, UIntTypes)
+{
+ const uint_type x("0xffff0000");
+ const unsigned long y = 0xffff0000;
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const int y = 0;
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_integral2, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const int y = -10000;
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_lt_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const int y = 1;
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_lt_integral2, uint_type, UIntTypes)
+{
+ const uint_type x("123456789");
+ const unsigned long y = 123456790;
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_gt_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const int y = -1;
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_gt_integral2, uint_type, UIntTypes)
+{
+ const uint_type x("0x5000000addddddd");
+ const unsigned int y = 1156;
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_le_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const int y = 0;
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_le_integral2, uint_type, UIntTypes)
+{
+ const uint_type x("0xffff");
+ const unsigned int y = 0xffff;
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_le_integral3, uint_type, UIntTypes)
+{
+ const uint_type x("0xaa0");
+ const unsigned int y = 0xf000;
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ge_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const int y = 0;
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ge_integral2, uint_type, UIntTypes)
+{
+ const uint_type x("100");
+ const int y = -100;
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ge_integral3, uint_type, UIntTypes)
+{
+ const uint_type x("0x56a4f564aaa445456");
+ const unsigned int y = 0xaab;
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_eq_mp_int1, uint_type, UIntTypes)
+{
+ const int x = 0;
+ const uint_type y("0");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_eq_mp_int2, uint_type, UIntTypes)
+{
+ const unsigned int x = 1000;
+ const uint_type y("1000");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ne_mp_int1, uint_type, UIntTypes)
+{
+ const int x = 0;
+ const uint_type y("0x1000");
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ne_mp_int2, uint_type, UIntTypes)
+{
+ const int x = -500;
+ const uint_type y("500");
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ne_mp_int3, uint_type, UIntTypes)
+{
+ const unsigned int x = 500;
+ const uint_type y("0xcaaff500");
+ BOOST_CHECK_NE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_lt_mp_int1, uint_type, UIntTypes)
+{
+ const unsigned int x = 500;
+ const uint_type y("0xcaaff500");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_lt_mp_int2, uint_type, UIntTypes)
+{
+ const int x = -500;
+ const uint_type y("0");
+ BOOST_CHECK_LT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_gt_mp_int1, uint_type, UIntTypes)
+{
+ const int x = 1;
+ const uint_type y("0");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_gt_mp_int2, uint_type, UIntTypes)
+{
+ const unsigned int x = 1000;
+ const uint_type y("999");
+ BOOST_CHECK_GT(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_le_mp_int1, uint_type, UIntTypes)
+{
+ const unsigned int x = 999;
+ const uint_type y("999");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_le_mp_int2, uint_type, UIntTypes)
+{
+ const int x = -1;
+ const uint_type y("0x99999999999999");
+ BOOST_CHECK_LE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ge_mp_int1, uint_type, UIntTypes)
+{
+ const unsigned int x = 999;
+ const uint_type y("999");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(integral_ge_mp_int2, uint_type, UIntTypes)
+{
+ const int x = 1023;
+ const uint_type y("1010");
+ BOOST_CHECK_GE(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_char_ptr1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const char* y = "0";
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_eq_char_ptr2, uint_type, UIntTypes)
+{
+ const uint_type x("0x456561fcaa547650456456");
+ const char* y = "0x456561fcaa547650456456";
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_char_ptr1, uint_type, UIntTypes)
+{
+ const uint_type x("15");
+ const char* y = "22";
+ BOOST_CHECK_NE(x, y);
+}
+
+/*BOOST_AUTO_TEST_CASE_TEMPLATE(mp_int_ne_char_ptr2, uint_type, UIntTypes)
+{
+ const uint_type x("0x456561fcaa547650456456");
+ const char* y = "-0x456561fcaa547650456456";
+ BOOST_CHECK_NE(x, y);
+}*/
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/ctors.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/ctors.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,232 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+// We mostly test from/to string conversions here since most other test cases
+// depend on these. If they are broken and senseless data gets into an integer
+// or we have wrong output then we need to fix this quickly.
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(default_ctor, uint_type, UIntTypes)
+{
+ const uint_type x;
+ BOOST_CHECK_EQUAL(x.size(), 0U);
+ BOOST_CHECK_EQUAL(x.is_initialized(), false);
+ BOOST_CHECK_EQUAL(x.is_uninitialized(), true);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_empty_string1, uint_type, UIntTypes)
+{
+ const uint_type x("");
+ BOOST_CHECK_EQUAL(x.size(), 0U);
+ BOOST_CHECK_EQUAL(x.is_initialized(), false);
+ BOOST_CHECK_EQUAL(x.is_uninitialized(), true);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ BOOST_CHECK_EQUAL(x.is_initialized(), true);
+ BOOST_CHECK_EQUAL(x.is_uninitialized(), false);
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string2, uint_type, UIntTypes)
+{
+ const uint_type x("12");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "12");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string3, uint_type, UIntTypes)
+{
+ const uint_type x("123456789");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "123456789");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string4, uint_type, UIntTypes)
+{
+ const uint_type x("1000000000");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "1000000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string5, uint_type, UIntTypes)
+{
+ const uint_type x("+1");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "1");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string6, uint_type, UIntTypes)
+{
+ const uint_type x("8888000000009", std::ios_base::dec |
+ std::ios_base::showbase);
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "8888000000009");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_decimal_string7, uint_type, UIntTypes)
+{
+ BOOST_CHECK_THROW(uint_type("1234567890a456456"), std::invalid_argument);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string1, uint_type, UIntTypes)
+{
+ const uint_type x("0", std::ios_base::oct);
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string2, uint_type, UIntTypes)
+{
+ const uint_type x("0", std::ios_base::oct | std::ios_base::showbase);
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string3, uint_type, UIntTypes)
+{
+ const uint_type x("012");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "10");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string4, uint_type, UIntTypes)
+{
+ const uint_type x("000000000000000000000000000000000");
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string5, uint_type, UIntTypes)
+{
+ const uint_type x("0123456777");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "21913087");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_octal_string6, uint_type, UIntTypes)
+{
+ BOOST_CHECK_THROW(uint_type("012345678"), std::invalid_argument);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string1, uint_type, UIntTypes)
+{
+ const uint_type x("0x0");
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string2, uint_type, UIntTypes)
+{
+ const uint_type x("0X0");
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string3, uint_type, UIntTypes)
+{
+ const uint_type x("0", std::ios_base::hex);
+ BOOST_REQUIRE_EQUAL(x.size(), 1U);
+ BOOST_CHECK_EQUAL(x[0], 0U);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string4, uint_type, UIntTypes)
+{
+ const uint_type x("0xF");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "15");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string5, uint_type, UIntTypes)
+{
+ const uint_type x("0xa0");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "160");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string6, uint_type, UIntTypes)
+{
+ const uint_type x("0x123456789abcdef");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(std::ios_base::hex |
+ std::ios_base::showbase),
+ "0x123456789abcdef");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string7, uint_type, UIntTypes)
+{
+ const uint_type x("0x123456789ABCDEF");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(std::ios_base::hex |
+ std::ios_base::showbase |
+ std::ios_base::uppercase),
+ "0X123456789ABCDEF");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string8, uint_type, UIntTypes)
+{
+ const uint_type x("0xA0000000");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "2684354560");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_hexadecimal_string9, uint_type, UIntTypes)
+{
+ BOOST_CHECK_THROW(uint_type("0x15656abg56"), std::invalid_argument);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_long_string, uint_type, UIntTypes)
+{
+ const uint_type x(
+ "875004025190050300612679044488093050295124399425061612342608525876458563"
+ "36946409871074842737283625535525153833045575858681216");
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(),
+ "875004025190050300612679044488093050295124399425061612342608525876458563"
+ "36946409871074842737283625535525153833045575858681216");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_iterators1, uint_type, UIntTypes)
+{
+ const std::string s("123456789");
+ const uint_type x(s.begin(), s.end());
+ BOOST_CHECK_EQUAL(x.template to_string<std::string>(), "123456789");
+}
+
+#ifndef BOOST_NO_CWCHAR
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_wchar_t1, uint_type, UIntTypes)
+{
+ const uint_type x(L"0xA0000000");
+ BOOST_CHECK_EQUAL(x, "2684354560");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_wstring1, uint_type, UIntTypes)
+{
+ const std::wstring s(L"0xA0000000");
+ const uint_type x(s);
+ BOOST_CHECK_EQUAL(x, "2684354560");
+}
+#endif
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(cctor1, uint_type, UIntTypes)
+{
+ const uint_type x("0xabddd00012134f");
+ const uint_type y(x);
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+
+/*
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_unsigned_integral_type1, uint_type, UIntTypes)
+{
+ const uint_type x(9999999U);
+ BOOST_CHECK_EQUAL(x, "9999999");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_unsigned_integral_type2, uint_type, UIntTypes)
+{
+ const uint_type x(123456U);
+ BOOST_CHECK_EQUAL(x, "123456");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(ctor_from_integral_type_unsigned_char, uint_type, UIntTypes)
+{
+ unsigned char c = 42;
+ const uint_type x(c);
+ BOOST_CHECK_EQUAL(x, "42");
+}
+*/
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/div.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/div.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,97 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(division_by_zero, uint_type, UIntTypes)
+{
+ const uint_type x("0x201abcff00aaffffff");
+ const uint_type y("0");
+ BOOST_CHECK_THROW(x / y, std::domain_error);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide1, uint_type, UIntTypes)
+{
+ const uint_type x("987777");
+ const uint_type y("123456");
+ const uint_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "8");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide2, uint_type, UIntTypes)
+{
+ const uint_type x("263825472");
+ const uint_type y("123456");
+ const uint_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "2137");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide3, uint_type, UIntTypes)
+{
+ const uint_type x("0x89ab89745cc653de58eecc8f8a874120065ea545f6f5f");
+ const uint_type y("0x1889ba8a789456adfc8005b1");
+ const uint_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "0x59c48aa7a1446110b31f70");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide4, uint_type, UIntTypes)
+{
+ const uint_type x("0x1889ba8a789456adfc8005b1");
+ const uint_type y("0x1889ba8a789456adfc8005b2");
+ const uint_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide5, uint_type, UIntTypes)
+{
+ const uint_type x("0x201abcff00aaffffff");
+ const uint_type y("0x1fffffffffffffff");
+ const uint_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "256");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide6, uint_type, UIntTypes)
+{
+ const uint_type x(
+ "0xffffffffffffffff00000000000000000000000ffffffffffff00000000000000000000"
+ "000000000000000eeeeeeeeeeeeee0");
+ const uint_type y("0xffffffff00000000000");
+ const uint_type z = x / y;
+ BOOST_CHECK_EQUAL(z,
+ "0x100000001000000000000000000000000000000100000000ffff0000ffff0000ffff00"
+ "00ffff0000fff");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(shift_right1, uint_type, UIntTypes)
+{
+ uint_type x("263825472");
+ x >>= 3;
+ BOOST_CHECK_EQUAL(x, "32978184");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod_zero, uint_type, UIntTypes)
+{
+ const uint_type x("987777");
+ const uint_type y("0");
+ BOOST_CHECK_THROW(x % y, std::domain_error);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod1, uint_type, UIntTypes)
+{
+ const uint_type x("987777");
+ const uint_type y("123456");
+ const uint_type z = x % y;
+ BOOST_CHECK_EQUAL(z, "129");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mod2, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type y("5");
+ const uint_type z = x % y;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/gcd.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/gcd.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,62 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(gcd1, uint_type, UIntTypes)
+{
+ const uint_type x("10");
+ const uint_type y("2");
+ const uint_type z = boost::mp_math::gcd(x,y);
+ BOOST_CHECK_EQUAL(z, "2");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(gcd2, uint_type, UIntTypes)
+{
+ const uint_type x("456489798");
+ const uint_type y("987");
+ const uint_type z = boost::mp_math::gcd(x,y);
+ BOOST_CHECK_EQUAL(z, "3");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(gcd3, uint_type, UIntTypes)
+{
+ const uint_type x("16384");
+ const uint_type y("16384");
+ const uint_type z = boost::mp_math::gcd(x,y);
+ BOOST_CHECK_EQUAL(z, "16384");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(gcd4, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type y("0");
+ const uint_type z = boost::mp_math::gcd(x,y);
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+#ifdef BOOST_HAS_VARIADIC_TMPL
+BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_gcd1, uint_type, UIntTypes)
+{
+ const uint_type a("42");
+ const uint_type b("56");
+ const uint_type c("140");
+ const uint_type z = boost::mp_math::gcd(a,b,c);
+ BOOST_CHECK_EQUAL(z, "14");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_gcd2, uint_type, UIntTypes)
+{
+ const uint_type a("1200000000");
+ const uint_type b("2400000000");
+ const uint_type c("3600000000");
+ const uint_type d("600000000000000");
+ const uint_type z = boost::mp_math::gcd(a,b,c,d);
+ BOOST_CHECK_EQUAL(z, "1200000000");
+}
+#endif
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/integral_ops.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/integral_ops.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,195 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(construct_from_zero, uint_type, UIntTypes)
+{
+ const uint_type x(0);
+ BOOST_CHECK_EQUAL(!x, true);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_signed_char_max, uint_type, UIntTypes)
+{
+ const signed char x = std::numeric_limits<signed char>::max();
+ const uint_type y(x);
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_char_max, uint_type, UIntTypes)
+{
+ const unsigned char x = std::numeric_limits<unsigned char>::max();
+ const uint_type y(x);
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_int_max, uint_type, UIntTypes)
+{
+ const int x = std::numeric_limits<int>::max();
+ const uint_type y(x);
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(equal_unsigned_int_max, uint_type, UIntTypes)
+{
+ const unsigned int x = std::numeric_limits<unsigned int>::max();
+ const uint_type y(x);
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("987777");
+ const uint_type z = x + 1;
+ BOOST_CHECK_EQUAL(z, "987778");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_integral2, uint_type, UIntTypes)
+{
+ const uint_type x("987777");
+ const uint_type z = x + (-1);
+ BOOST_CHECK_EQUAL(z, "987776");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_unsigned_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("9999999");
+ const uint_type z = x + 1U;
+ BOOST_CHECK_EQUAL(z, "10000000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_signed_char_max, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type z = x + std::numeric_limits<signed char>::max();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<signed char>::max());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(add_int_max, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type z = x + std::numeric_limits<int>::max();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::max());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("987777");
+ const uint_type z = x - 12345;
+ BOOST_CHECK_EQUAL(z, "975432");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral2, uint_type, UIntTypes)
+{
+ const uint_type x("98000");
+ const uint_type z = x - (-1);
+ BOOST_CHECK_EQUAL(z, "98001");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_signed_integral3, uint_type, UIntTypes)
+{
+ const uint_type x("125642682070");
+ const long y = 2147483647;
+ const uint_type z = x - y;
+ BOOST_CHECK_EQUAL(z, "123495198423");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(subtract_unsigned_char1, uint_type, UIntTypes)
+{
+ const unsigned char y = 14;
+ const uint_type x("987777");
+ const uint_type z = x - y;
+ BOOST_CHECK_EQUAL(z, "987763");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_signed_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("987777");
+ const uint_type z = x * 12345;
+ BOOST_CHECK_EQUAL(z, "12194107065");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_unsigned_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("1256");
+ const uint_type z = x * 100U;
+ uint_type w("125600");
+ BOOST_CHECK_EQUAL(z, "125600");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_zero1, uint_type, UIntTypes)
+{
+ const uint_type x("9877234234252377");
+ const uint_type z = x * 0;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiply_by_negative_zero1, uint_type, UIntTypes)
+{
+ const uint_type x("9877234234252377");
+ const uint_type z = x * -0;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_unsigned_char1, uint_type, UIntTypes)
+{
+ const unsigned char y = 16;
+ const uint_type x("10000001");
+ const uint_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "625000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_unsigned_char2, uint_type, UIntTypes)
+{
+ const unsigned char y = 128;
+ const uint_type x("14222200");
+ const uint_type z = x / y;
+ BOOST_CHECK_EQUAL(z, "111110");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(divide_by_signed_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("786432");
+ const uint_type z = x / 12;
+ BOOST_CHECK_EQUAL(z, "65536");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("786432");
+ const uint_type z = x % 12;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+// TODO should this work?
+//BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_signed_integral3, uint_type, UIntTypes)
+//{
+// const uint_type x("987777");
+// const uint_type z = x % -123456;
+// BOOST_CHECK_EQUAL(z, "129");
+//}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(modulo_unsigned_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("987771");
+ const uint_type z = x % 16U;
+ BOOST_CHECK_EQUAL(z, "11");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_signed_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("786432");
+ const uint_type z = x | 1;
+ BOOST_CHECK_EQUAL(z, "786433");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bitwise_or_unsigned_integral1, uint_type, UIntTypes)
+{
+ const uint_type x("786432");
+ const uint_type z = x | 1U;
+ BOOST_CHECK_EQUAL(z, "786433");
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/jacobi.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/jacobi.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,32 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi1, uint_type, UIntTypes)
+{
+ const uint_type x("1236");
+ const uint_type y("20003");
+ const int z = boost::mp_math::jacobi(x,y);
+ BOOST_CHECK_EQUAL(z, 1);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi2, uint_type, UIntTypes)
+{
+ const uint_type x("987897");
+ const uint_type y("987");
+ const int z = boost::mp_math::jacobi(x,y);
+ BOOST_CHECK_EQUAL(z, 0);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(jacobi3, uint_type, UIntTypes)
+{
+ const uint_type x("610");
+ const uint_type y("987");
+ const int z = boost::mp_math::jacobi(x,y);
+ BOOST_CHECK_EQUAL(z, -1);
+}
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/jamfile.v2
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/jamfile.v2 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,42 @@
+# Copyright Kevin Sopp 2008 - 2009.
+# Distributed under the Boost Software License, Version 1.0.
+# (See accompanying file LICENSE_1_0.txt or copy at
+# http://www.boost.org/LICENSE_1_0.txt)
+
+alias boost_test
+: $(BOOST_ROOT)/libs/test/build//boost_unit_test_framework/<link>shared ;
+
+alias boost_serialization
+: $(BOOST_ROOT)/libs/serialization/build//boost_serialization/<link>shared ;
+
+unit-test abs : abs.cpp boost_test ;
+unit-test add : add.cpp boost_test ;
+unit-test bitmanipulation : bitmanipulation.cpp boost_test ;
+unit-test bitwise_ops : bitwise_ops.cpp boost_test ;
+unit-test bool_conversion : bool_conversion.cpp boost_test ;
+unit-test cmp : cmp.cpp boost_test ;
+unit-test ctors : ctors.cpp boost_test ;
+unit-test div : div.cpp boost_test ;
+unit-test gcd : gcd.cpp boost_test ;
+unit-test integral_ops : integral_ops.cpp boost_test ;
+unit-test jacobi : jacobi.cpp boost_test ;
+unit-test lcm : lcm.cpp boost_test ;
+unit-test modinv : modinv.cpp boost_test ;
+#unit-test modpow : modpow.cpp boost_test ;
+unit-test mul : mul.cpp boost_test ;
+unit-test numeric_limits : numeric_limits.cpp boost_test ;
+unit-test pow : pow.cpp boost_test ;
+#unit-test prime : prime.cpp boost_test ;
+#unit-test random : random.cpp boost_test ;
+unit-test root : root.cpp boost_test ;
+unit-test serialization : serialization.cpp boost_test boost_serialization ;
+unit-test shift : shift.cpp boost_test ;
+unit-test sqr : sqr.cpp boost_test ;
+unit-test sub : sub.cpp boost_test ;
+unit-test stream_io : stream_io.cpp boost_test ;
+unit-test string_ops : string_ops.cpp boost_test ;
+unit-test to_integral : to_integral.cpp boost_test ;
+#unit-test traits : traits.cpp boost_test ;
+
+#unit-test compile_all : compile_all.cpp boost_test ;
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/lcm.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/lcm.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,54 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lcm1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type y("0");
+ const uint_type z = boost::mp_math::lcm(x,y);
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lcm2, uint_type, UIntTypes)
+{
+ const uint_type x("51111");
+ const uint_type y("0");
+ const uint_type z = boost::mp_math::lcm(x,y);
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lcm3, uint_type, UIntTypes)
+{
+ const uint_type x("4");
+ const uint_type y("6");
+ const uint_type z = boost::mp_math::lcm(x,y);
+ BOOST_CHECK_EQUAL(z, "12");
+}
+
+#ifdef BOOST_HAS_VARIADIC_TMPL
+BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_lcm1, uint_type, UIntTypes)
+{
+ const uint_type a("120");
+ const uint_type b("204");
+ const uint_type c("136");
+ const uint_type z = boost::mp_math::lcm(a,b,c);
+ BOOST_CHECK_EQUAL(z, "2040");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(variadic_lcm2, uint_type, UIntTypes)
+{
+ const uint_type a("12010");
+ const uint_type b("3299");
+ const uint_type c("84780");
+ const uint_type d("15");
+ const uint_type z = boost::mp_math::lcm(a,b,c,d);
+ BOOST_CHECK_EQUAL(z, "335906753220");
+}
+#endif
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/modinv.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/modinv.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,25 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(modinv1, uint_type, UIntTypes)
+{
+ const uint_type a("35");
+ const uint_type m("33");
+ const uint_type i = boost::mp_math::modinv(a, m);
+ BOOST_CHECK_EQUAL(i, "17");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(modinv2, uint_type, UIntTypes)
+{
+ const uint_type a("17");
+ const uint_type m("26");
+ const uint_type i = boost::mp_math::modinv(a, m);
+ BOOST_CHECK_EQUAL(i, "23");
+}
+
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/mul.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/mul.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,398 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul1, uint_type, UIntTypes)
+{
+ const uint_type x("12");
+ const uint_type y("22459455");
+ const uint_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "269513460");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul2, uint_type, UIntTypes)
+{
+ const uint_type x("280708");
+ const uint_type y("2245945");
+ const uint_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "630454729060");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul3, uint_type, UIntTypes)
+{
+ const uint_type x("65536");
+ const uint_type y("65536");
+ const uint_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "4294967296");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul4, uint_type, UIntTypes)
+{
+ const uint_type x("1234567890123456789");
+ const uint_type y("9877771234567890123");
+ const uint_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "12194779192182653090000267987090395047");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul5, uint_type, UIntTypes)
+{
+ const uint_type x("789456120556882111687894651457623561325656871513");
+ const uint_type y("54564563128978513215");
+ const uint_type z = x * y;
+ BOOST_CHECK_EQUAL(z, "43076328327684465744675616648356768900793087398990591539995027544295");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul6, uint_type, UIntTypes)
+{
+ // x is 1023^256
+ const uint_type x(
+ "0xc759410869daaf709b5fda9eab0192ae2dadd5b7ee97f32d933b851ee0157196c574c22a"
+ "bd349465d5049007566c5dc684517a9dcdcc7026a3b060a78e37258b3bc6a22aa1a25702d7"
+ "64a575913531ccaa1a6c93bd8824a40e93e783ce1e2bd29465d2ed8dbed1748c6ac6a9cda3"
+ "b44a39dfa7fdcd8c59b3e597e7116f98fbc909e3f46f64544a5a8e7ace364efb52ce2eebfd"
+ "76739fcd104cfef49136e582b61674d7b875712ba32121cfefcbc545fc0e4e80998c380ed7"
+ "20155c23678c1a707a4660ccd3749b2051e67605d4c5f312b52b406fe4c88c3cb28c9d126d"
+ "764e91e387248cb8dc1d9b953d6ba2d6a530e980c91539dce6fb2e3110da092d4431434b75"
+ "262bc4c3720f93b662d42beb0e00803dd2a0c24d1f733f4bf4d56d4b2260ee00acbeaaf39a"
+ "481004fd5dd49b240e344f318ac2fe505637153547f7fc0001");
+
+ const uint_type y("1023");
+
+ const uint_type z = x * y;
+
+ const uint_type w(
+ "0x31c9daae09f00e312fce40aa00d5b49260889a90a027134c31f5ad8f66175b0e97f0d93e"
+ "8ca151d02ee3d3b8d525b0abc4ac198fc9963f42a681dd23d914e5f0763dec2085be7b9b45"
+ "abb3130cf439200dbbf97e262630a6b96410a27b4aa911e7f02e5e3496d8700bd1eafe08cc"
+ "12d749d44c04f3863da75e27a045eacf456285e85edc921ecd51fdf5cbe0b059e4fe5ed810"
+ "9dc580b947423aed3504a5f2555a3bcea0a1d4f3d60e1661def3f4952aa3d2bb3e59754034"
+ "da9355b317ac8dda7789f3cd280fef7e62747f1a14d430657c1f7d67f233d68668d7fe7aca"
+ "36bc3f8fc390b0e56b79a50b960711fb7be1e7519a38bd239bf05bd9612574aabe380dbea8"
+ "92388e74904cc3f45d4eddb804cf400770cb0687230ad89f08760dfbf3e615714b24ded237"
+ "585f803f079f497f514c30876f981364308861dbfea97f80403ff");
+
+ BOOST_CHECK_EQUAL(z, w);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul7, uint_type, UIntTypes)
+{
+ // this tests karatsuba multiplication for 8, 16 and 32 bit digit_type
+ const uint_type x(
+ "87500402519005030061267904448809305029512439942506161234260852587645856336"
+ "94640987107484273728362553552515383304557585868121651546490330517814007487"
+ "34682745159208158750835203309620570274592666481348052963762094268695162425"
+ "18850320172906096781969070339129822281355221058882087466637338881223511228"
+ "63144016884857141834687376804878770495858121023810198067988560350169566260"
+ "59441070673981642057711662497893572913873133654626566743289483229067287310"
+ "16863866837882738076436342057320810154710294295605465397209378421688020320"
+ "35702406032061642794728883255642074744145228324022219347019013411158803532"
+ "45994041206565648683544493690427219798945006072652042753387791345064784511"
+ "50227920502852884378111055250850357557404795594025600468996407045934090727"
+ "08041078777870387730504");
+ const uint_type y(
+ "87500402519005030061267904448809305029512439942506161234260852587645856336"
+ "94640987107484273728362553552515383304557585868121651546490330517814007487"
+ "34682745159208158750835203309620570274592666481348052963762094268695162425"
+ "18850320172906096781969070339129822281355221058882087466637338881223511228"
+ "63144016884857141834687376804878770495858121023810198067988560350169566260"
+ "59441070673981642057711662497893572913873133654626566743289483229067287310"
+ "16863866837882738076436342057320810154710294295605465397209378421688020320"
+ "35702406032061642794728883255642074744145228324022219347019013411158803532"
+ "45994041206565648683544493690427219798945006072652042753387791345064784511"
+ "50227920502852884378111055250850357557404795594025600468996407045934090727"
+ "08041078777870387730504938308922524767076619493071600607096868205642593777"
+ "83064672064693123083586511497969514956199763260628691421422356349215807298"
+ "53893432372651287096347803705731068491268031212879821570628466049198139563"
+ "07225373203247341492567070512742515269237115281940442618925655326204507165"
+ "43018685973456180521304052296263372550548657267007681462726186588489921154"
+ "03738735312309811855295260282588410141887442245474311543699839300870263148"
+ "89969642893224272388306131900850182843780525186002406202200057400419364041"
+ "12480917884571681605871307558328122948240801747503773233227317344565943160"
+ "78184811118761000119446172201197213166958413376441353073591860771242469526"
+ "34162171790217465073689788174652534961638870987430329380376975097234424950"
+ "28626203467171261194438985008578074151902043501430333019202385199270557942"
+ "82069487032265791643884311563532673152911052140807076806223793474752085674"
+ "51690168224265201474031350018449280412602665727006489664736651532321662145"
+ "22395731894311806382965185156526606660906262290677223798531105431808835740"
+ "80068277468617762211054331907328141344243411630209274782352265433366236954"
+ "62340796945506470082986574244652633468578747126384423018749343237426427830"
+ "62597495610006322516869046617226177792891514414040880511098169575819779926"
+ "53267511946096311413217967853431922008343789549408902117132966444741997352"
+ "58418657379544687590177580275674377304583931111620683151992749560156615440"
+ "09956001573216294273550652829235006290995819615078227235050765818475452342"
+ "95118077784320900839083926375344280915278665450149678774001364483022411118"
+ "86989210613864536835695555040115554865868694788922281253334356037168116291"
+ "99227045413249316876243936449829162763370534672670641521910718921661373160"
+ "93948899172794003245737017747952580428164207428777214495975431645589773283"
+ "12391742034637254884903040666536846003583703264118132242307521988982264762"
+ "13953490712153270721924306359669195669881431604926261623147833800912453474"
+ "06542388952383807976431616628717886593805647129190060659586374949333503420"
+ "5241703455510726935");
+
+ const uint_type z = x * y;
+
+ const uint_type w(
+ "76563204409879018101322737668344063995824904757312285775560614771886933079"
+ "77822556905976720912850551355328340715074887289899094852653102687850101285"
+ "85715275531977696497398396067715769512450915961775500023723324150851793075"
+ "51871751151095323159497918186624088118225730504044262785072662119470825604"
+ "40835072257208973943520251201155002832786969323087571220195329601804141972"
+ "71293425859967733061169954398382700046379970842289727254846347411792122453"
+ "98890529530611217475343335863666953662801553948341581412563112340543629531"
+ "01094529771464590172847457807673685591148055046712881378811934516545088775"
+ "38198087116656466935095055228728162461388333618793883566996616940381738437"
+ "03453867953392241443573580380271627517797446062394044787118140775664622031"
+ "49144609407766890328547643707523663509662747376486271392344480900673178645"
+ "33198519112197059826509662943577383543858946941049753393431035706592040680"
+ "43848484065292542884106550381079282660840705126574766636237650938379223350"
+ "07308780680088758625608527577521721942952700001740314426688555136034651920"
+ "92948869415921251533176579828351648585255631612516166131530519177426817087"
+ "53127165191235539369253485175856164884318259457319518574027800748530624722"
+ "30999853784133144744590149844870058500033133557974954747400058296439058233"
+ "59080109028703731380219724583279605028258137468666258706566102379192203551"
+ "90274426910716106736469216457355540125186992654301008720830993368763363204"
+ "11036960264301276622450044075944548104639523605502445335712149154791061273"
+ "09156720459736055974643337783563754269574952607968485689453462316428566668"
+ "95504701770860331979649536167161534866285341319360225416010322271645564229"
+ "97610536562445338176729838019564690253931232562709745122032537539983616770"
+ "01864876491464203683664927984801289460556480278145114367860332493722569194"
+ "34026051618152579992400234314328079213866348120156368725488604236521299603"
+ "05243915357553896356662519397274629471920043679673543282319268893065423613"
+ "03777840501083119668898860689222271939900089123195611475211708096094521743"
+ "23436842195705603262202927396682954198215622617086455718070601797199587530"
+ "86110222151397352239086193648500251298495752840008363650931395221675337916"
+ "21665907282124706187656074325458499695895652068822763794228458103499408841"
+ "68233732651102406546734395563663969020820490032431359396293047454261598159"
+ "68165818673838448637209074584819780088546111644065538550490486693301185614"
+ "61602638472505490238203390055056474763248195271964604045005807592301719483"
+ "66411676459481184297663915491569500245585996483678005964410842919747216111"
+ "69086269285356198998091850661544255466466926579668887000118948737207396398"
+ "39189399212362197497646493143022100680619252808094160907526003969639965485"
+ "31238493375062268758735445211914107215235958346264702774326161208396163240"
+ "36339482493382189215697343908873498104516190541170342091008828518924813674"
+ "46253090923280613514725437269574928515018666111820866090440006060807129643"
+ "38626199608899966829344884873038261232122027815715568990196536130996880104"
+ "97887027262726591236620461428328000537452828616386217063092509908555188454"
+ "27278763741671312528892659532960085933913140197210561287118971031419725940"
+ "70220283055606934471672907114014782099956647529889583250740029484462218658"
+ "62960901244568848989478467720707250809806379509214397878558772543587967635"
+ "96161034019645060913914198361071023036142203589230741296078930717247341831"
+ "26204308310630181474853421564903407641109879794777661716811159608177803322"
+ "61170286373919980640839261570604290919653466216587527613203517128403418424"
+ "791614399508711582164287714644181913925240");
+
+ BOOST_CHECK_EQUAL(z, w);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(mul8, uint_type, UIntTypes)
+{
+ // this tests toom cook multiplication for 8, 16 and 32 bit digit_type
+ const uint_type x(
+ "0x5004a2519b00503006126bb044af8930502951243994250616123426085258764a856336"
+ "35702406cff061642794728883255642074744145228324022219347019013411158803532"
+ "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
+ "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
+ "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
+ "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
+ "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
+ "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
+ "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "9464098710748f27372836255355251ae330455ffaa58681216515eeff0330517814dd7487"
+ "34682745159208158750835203309620570274592666481348052963762094268695162425"
+ "18850320172906096781969070339129822281355221058882087466637338881223511228"
+ "63144016884857141834687376804878770495858121023810198067988560350169566260"
+ "5944107067ac5771a1662497b8b93cfe57291387313365462656674328aaaaaf9067287310"
+ "ea6863ec68378827380764363420573208101547102942bf05465397209378421688020320"
+ "35702406cff061642794728883255642074744145228324022219347019013411158803532"
+ "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
+ "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
+ "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
+ "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
+ "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
+ "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
+ "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "18850320172906096781969070339129822281355221058882087466637338881223511228"
+ "63144016884857141834687376804878770495858121023810198067988560350169566260"
+ "59441070673981642057711662497893572913873133654626566743289483229067287310"
+ "35702406cff061642794728883255642074744145228324022219347019013411158803532"
+ "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
+ "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
+ "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
+ "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
+ "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
+ "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
+ "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "16863866837882738076436342057320810154710294295605465397209378421688020320"
+ "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
+ "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
+ "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
+ "f84c878148cc7020890befffaa4506cebbef9a3f7c67178f2");
+ const uint_type y(
+ "0x875aa402519005030061267904ccc8809d0502243994250616123426085258764585633a"
+ "94640987107484273728362553552515383304557585868121651546490330517814007487"
+ "34682745159208158750835203309620570274592666481348052963762094268695162425"
+ "18850320172906096781969070339129822281355221058882087466637338881223511228"
+ "63144016884857141834687376804878770495858121023810198067988560350169566260"
+ "59441070673981642057711662497893572913873133654626566743289483229067287310"
+ "16863866837882738076436342057320810154710294295605465397209378421688020320"
+ "357024060320616427947288832ff6420747dd145228324022219347019013411158803532"
+ "45994041206565648683544493690427219798945006072652042753387791345064784511"
+ "50227920502852884378111055250850357557404795594025600468996407045934090727"
+ "08041078777870387730504938308922524767076619493071600607096868205642593777"
+ "35702406cff061642794728883255642074744145228324022219347019013411158803532"
+ "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
+ "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
+ "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
+ "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
+ "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
+ "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
+ "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "83064672064693123083586511497969514956199763260628691421422356349215807298"
+ "53893432372651287096347803705731068491268031212879821570628466049198139563"
+ "07225373203247341492562497b8b93568861230addd281940442618925655326204507165"
+ "43018685973456180521304052296263372550548657267007681462726186588489921154"
+ "03738735312309811855295260282588410141887442245474311543699839300870263148"
+ "cdd69642893224272388306131f0a850182843780525186002406202200057400419364041"
+ "12480917884571681605871307558328122948240801747503773233227317344565943160"
+ "78184811118761000119446172201197213166958413376441353073591860771242469526"
+ "34162171790217465073689788174652534961638870987430329380376975097234424950"
+ "286262034671712611944389850085780a4151902043501430333019202385199270557942"
+ "82069487032265791643884311563532673152911052140807076806223793474752085674"
+ "51690168224265201474031350018449280412602665727006489664736651532321662145"
+ "22395731894311806382965185156526606660906262290677223798531105431808835740"
+ "80068277468617762211054331907328141344243411630209274782352265433366236954"
+ "62340796945506470082986574244652633468578747126384423018749343237426427830"
+ "62597495610006322516869046617226177792891514414040880511098169575819779926"
+ "53267511946096311413217967853431922008343789549408902117132966444741997352"
+ "5841865737954468759a177580275674377304583931111620683151992749560156615440"
+ "09956001573216294273550652829235006290995819615078227235050765818475452342"
+ "95118077784320900839083926375344280915278665450149678774001364483022411118"
+ "86989210613864536835695555040115554865868694788922281253334356037168116291"
+ "99227045413249316876243936449829162763370534672670641521910718921661373160"
+ "93948899172794003245737017747952580428164207428777214495975431645589773283"
+ "12391742034637254884903040666536846003583703264118132242307521988982264762"
+ "13953490712153270721924306359669195669881431604926261623147833800912453474"
+ "06542388952383807976431616628717886593805647129190060659586374949333503420"
+ "ffab023789d7d78f78a45a45fee789001a1a");
+
+ const uint_type z = x * y;
+
+ const uint_type w(
+ "0x2a4ec67dcaf1afdd14bf63d7cd883f269ca00be2cae5c539545352050e33af7bb008713c"
+ "63587bc02911b0cb1fb807d94cd4a937f6e19801a28500f45ba1dc90a548e8e15e0c31536b"
+ "39f3940191a76b6fd96fda83c7aa9aa675f536633917587fbdb4990f73dc4650e19af67392"
+ "712b0a94aeec78f21523bd2ae92cee0b5d42ce2ead649060ff8134dbca0790f051b132b8fd"
+ "2f0bbe66f3226f7fe7a80c0be18fcd0238ff0100e4353f4973c1cb72c40e83804192fbd008"
+ "1e3d4dfe03e1d4c8d1ed4ba8ffe7cf5d00237598de949ab89cd6f95cbc3545a4d797e425f9"
+ "041fbe52955af28221505ce3e53cb5bc12d8d9a13f39704463db4db21aaea4fc29643a2746"
+ "2e6d3b40f9eb621106bda6223bf2aaa4f027e037acb45406cd39b242c90df3b4fae1bf788a"
+ "1529dac1ce1b77f4d1557e2aa8a4adf9c6b3b0c364ce68300b5f65efc8166dae1b2e0f8443"
+ "76975b12b72c36f2dfc4a533adca3db43955265d91d15232bcfd712e46dd4cd4f63981317b"
+ "31be8e9fc0a56275da498e8a4c13419eb8560fa05d73373ff238787b77c0b45c0b44b6b042"
+ "365bfb3b3a4d96cdb3ad7cb9b9248498a02b43a16206db5cc3f52c4cdf2c58807a68a6d1b0"
+ "f24bf8daa4eaf6ffdd3e781fd52b5fe609678d045944d7ea6a6689954b82a737b136a86d32"
+ "e8de0c6b88e66300487b83deb53038fc298c2b1d1ffe64ab7ebf0e7682b285bb567c3ad4bc"
+ "69c0e0216f5c8df2681a3e84435b39dbd4a3cd5dcdf0b776bc0b5281f8806155318e70d237"
+ "4267ca699ebdc5df58e282f7a6d2a7401a3544193741e9597df7fb92c7a0c87128b53ae873"
+ "14aacf233fc20cba4ac4835579bd82b6efcadd591dbf826d470795d64bb698202e3fc5bbd3"
+ "9ca2249167520764d448a95c7a7ed00f43d2f36f4158fccacf2f5738878099da8a323e7d2c"
+ "57579da5e348b45aabe59366085532c73c2388b3a2672b08758bdaae3746364b49d0217b27"
+ "5d22b2b4916628afd5009e103803f4ba5241413200d85e119ceb4dc876c1521047a8be7650"
+ "767b0d83fcbf991c6b04a51213692867fe4c9e452b2800fe5fc57df9d8f75cab72609a49af"
+ "92b1e2407b64ea424344a626b2e86eacdf18af6a000af8c5607019df1d670307a65df3e4bf"
+ "51e9809212a3288001e1df69a6070558e24f686ff34b50e7b2daf5f3f7abc7be88fff8fb5d"
+ "f0aab1f952f91eec5c5ff7e25d2babb61db263e7381fbe40ad81b3494c323a35d3333fcadd"
+ "d6b057c88fe2f43ec1bf754de9fdbc768457d7fc44c90c2e44f79c32849f56d7d2152b96d1"
+ "4b7735e8eae29d8e9ccdd61be1f73f7d1d2e16732505448a33145a5b1d5c342f0990a0a731"
+ "a5e034cb3c0f5658e20b8ac7f4e93c249ec9badb93c4e064b59c34b11e4327d0dacb0951ac"
+ "1c13831520a06deee884613bce16fe5b92e1e0776caf6aa1a7aadccad11a741e7c08512816"
+ "e1c4a0f8910c35450a7448c180528decdc54a9af2cf5b5244c03d088be6d8b6978f2e90baa"
+ "3ce9f85456b51768f7b2d2261785f7680e62cdc420d0e62e41aba012a391c250d3579665ec"
+ "06a0e137c8d3da6ec07be1c2f0599dcbd1f6a801a06a062734ec34889edcd57ca99bc35d5b"
+ "9686b7fc073aa06d9d052ae7d762a7dbc5740e73ef730b478acdb54455d4db80e80b03bc61"
+ "aa013ab9c0b9ece6a00e4e46c16068a2771d0c9c42432f4ef1279481886c6cf890d656a8fa"
+ "e248c9c17bedb151ea802c3b8d7918296dc38a71f173c0b6fceb72611bc817429271ff1d1f"
+ "9fc29780727dbab824eb6ff07e552c8a6679c667bbb20925b7920c7307e3f553c64e1f8962"
+ "e556168cef58af8f406f9f6847719addd6083d19e351b2281bb6f8f64789cdab8f29915f71"
+ "128cd2152ba95124b935770dda3231973037cb7c1e8d22ee4bd10331c91d4db53c291cb16c"
+ "f498366646a27bc18df39aeb5790ba6e02c9904b0fe7e6127dd412daaafdc9b1548727eb05"
+ "57e191893e391f038797139cdf054dab4a208b00dbea79313c3952bcaf8384882456dace78"
+ "117550a133acd3cc883c036e2ecb133eaca4f6df4c002589436f529f3975fde6c779ab3038"
+ "85b1decf3f9b625dd31d634e98410486ba3e3dfff5e90da22c1734fbf9b52b92db6b44af70"
+ "da57859ca38220d8a24dca3251f9f65a1abfcbd2386732f3919c88af189efeb31ee6da9deb"
+ "f70e85bbaa928abb1d2ba86d3b038c1eea98c1a36d0e783a79e578cbc3b98d9a9f4a9c0392"
+ "bf51fcb31325c1b9131f762cd31583c231d786190dc92752781192a72ff75c3c8c297706a0"
+ "4d14571575e076dc13c8bf2c3202bb468ef6f20f6ae27ba91a0182af2c73a40477a9e1d23d"
+ "60fc5f57e9f3a86315b11ea7dc922ba70d38a24c18e1552e15239b2a29d6fc7517f5aabdd5"
+ "e0c800178beeac9b582c44af59f7c2cee341813eb13220d4bee3ef07e9ab8d35ccc0f684e9"
+ "902affb65f87cee827e6bd42fbc433df0070dc210d078fdc92fb7f559b577150e28f21f64a"
+ "c0edc61da523858e62cca0c85b8c16b8bd784f7ed8efb96314e75b3b9bd26ea93bdfc45565"
+ "85ea59cda0c92be16321ed27d93b9a05980574fc99dcb079e6145a0b0ab0c4cbebdc0e51af"
+ "2825278224922511ab721f412589b8a160fa95c3bc9038a3af4a330f5e796d30bf60017921"
+ "bc01a0200e87c26a0afedc292ff05a3e9d564323d0e0c738bcbf24f226d9aa59944abc109a"
+ "9916f57dad39fd1c928da18c32184a230be2eef814c47cea0baea02241c34fae2c8d025a02"
+ "0ab4faf8409cbc467333b807af12473f5dc3be988bb9ef61a60ff1672e07de7f5f6bf99583"
+ "f876305337ca3bbc6b2cc1f562d9f4b90cd9e54d85e04b8aa47dcb4dd5efb271f2a1d61922"
+ "cefdabcad5c3565f3f65a3e421e688b53c15a568c368eeed28d546e47dd53afc3944bfce69"
+ "94841555ac1a1968412a5504d68ae69b2067aaf3c8516a993ffb0657f82cfcb4950e6da431"
+ "de09b4a1d104e3190af9518bd2d10921ee2a3cbba8c25e1ef98606121d60cb48dbe91994f6"
+ "afceb6ea5187fdbd6d943b24c6a2584516d014ca5549828b1c5dcb80016f5dbe91667d03c0"
+ "ed9db277261ff9a7fe77886bb1c9c7d3e95e8a4204b984115323b3a8895ae102921e807294"
+ "131b5554246e6004541e11d1e449f017f1590b18c695ab79b098683f4693e0c6d87836feae"
+ "3db0bceca8b11f9b2190b8f61d77fdad0687ce678c31059af3771bc54170fad3171efa5eaa"
+ "39a4dc3d3fa837e868d1cd704de7c1877e4b77cd9fa44d500b74d0a52cf1b9c5ca6f031005"
+ "c6362066e930694a5d8063a2f27c899a78dd4f79f89e47c46e24c454efcb034105824c009f"
+ "9ce5f9b0eb6998ee1a61a2b83ed878ac81e50ffa48f6c5eaf225a56c9cbca51312808c0c51"
+ "7f49f131c12ecb7094f389228b77db2a305a01f69975138aa67dce71b80285fa1f21993189"
+ "b38898d0e2c5e6fddb644101107f610ac20ab744140addc41021fbf68b041b80fa3c1a3851"
+ "65038651ac3a07ef76368658c5a984d28e149981a7ab931e6fa1d87aa8756331927c54443a"
+ "54177cb8617bd8f54aba47a06af8f41f28cc47d71bd153d821c0c45adbad135170cfe68429"
+ "683a0bc06e4e7a06bd060a87fb8309e4f14c31a3732eada80079072e55fc26cb02ac710791"
+ "0a95d32111198ac6c07625c117acf23fefbbff59fb4c84bc6ac1a3fde905cf1d75693caaf7"
+ "7d2728e7c66d6005a236176e85cb3b282fb7a577e5e4c617c23b2af879810b560882c93552"
+ "27ee9670073d5288c4af9e57a0c81c7af0142670dbb0a18a2f79fe3ae3791739e732784600"
+ "fe9a9a4475ad985499e81ce7a06a04368fbdd007ddb2a222a0268c086252e73f18ef9b165a"
+ "c044c5f42af698b80eba1c1b4423c3b8d010d31ea85831fae7bbb74efe9a22283c1e238d09"
+ "6ae5d00ded7ae17744925d316b3d1c92861c58e1e6668dd52f4932c1e891ed5441f29786fd"
+ "d41a78b75730b8cc193ed85ac5a667a86ba4bbc1ad45aeddc56d32e16f410ad06f5cd2e6b8"
+ "2a31feb6585cfe987b8db1dc8dfdd3a4a8b09518f341fac8f8c7aeb8052cec62bf23eab8a1"
+ "b35cab3e3ed3acc3b64e29c1cc4d7cdeaefcd61f06c61b8a48b90a838ee0aac2cc76a2e56f"
+ "d8dda42e2ff863f75132ff39dd4241ac3ac1aa21845a66bdd02b77b4c38dd5ada02e3863e0"
+ "12b5bf5ad2eae7f6b1b85b4fdf960b915c257dc2be810ce92bb82c58bc478994a71332502c"
+ "ea5e5cf5bfc2ba0480d53dd2dec046f718001eba5088463e6598488dbca8cf07024102458c"
+ "abac35a14188323195f0bcc8a4d7b006467ad4ee46e6cc61f91243e311e0a775582ca3be74"
+ "9193f6044b573435eb7185c437ce3abb6b232f7d85d5beb68ebe859b9af9d6216a5c1a236c"
+ "499c661d705e9df96466429370c573b7c02d6b66c9725f39550e9bd8f63b69dd1d91ae3b7d"
+ "daf6e53f36111e43f185b2a19e6969c95441159ab96ba7928d9a8c66a81d8cb2967d90f5b8"
+ "65bf2b0986e7e10275476faf729ff6ff275347c3afb647cfaf80b76a7d51c1530e5e305241"
+ "e46f992416baa5e204ed1ccc29ab615e71ee06a21d29fabf1c114bcb0262a5031bbb8bf5d5"
+ "a4fcf004f0276eb27cb4007eb0cfc99fc515e858170e135707b07b5f0839f602d1f1ce9eb7"
+ "a41e02aea4c95a499f9ade35d8f1de41791d62ee88fac1e74828aa5025efa0444425f58edc"
+ "1158f0c1afa86f9cf062ef973eb852fe203a48a8cc6f9ef89bbd76e5602aa93c3af0cab8e0"
+ "0433b8beaf63024c36d652dfc1065c483ce480e6b36250d8bf4c3e8500ca1ab6457fa02206"
+ "6592d25f38e376a4e9d7b1dec77b378b6daf4a3e33e5aac75ff2a93808b163e738b62d6f32"
+ "c8526d92795fa623217fcb8c4450bd0ed300742327457928fb0ac0d9a1a47c490db6d3eb56"
+ "900e091c8e047e6f618acac52dea702c4ca72acd001f2c056291d71e8e7e49ea13afae0d3f"
+ "66a7d7dd8d6a264ca4be9eb02549bf40e61f1e2e4f01fe4ceafd7855686747eb1b1acd2c96"
+ "92fcedc94");
+
+ BOOST_CHECK_EQUAL(z, w);
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/numeric_limits.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/numeric_limits.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,18 @@
+// Copyright Kevin Sopp 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(is_signed, uint_type, UIntTypes)
+{
+ BOOST_CHECK_EQUAL(std::numeric_limits<uint_type>::is_signed, false);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(is_bounded, uint_type, UIntTypes)
+{
+ BOOST_CHECK_EQUAL(std::numeric_limits<uint_type>::is_bounded, false);
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/pow.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/pow.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,430 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+/*BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_1, uint_type, UIntTypes)
+{
+ uint_type x;
+ x.pow2(0);
+ BOOST_CHECK_EQUAL(x, "1");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_2, uint_type, UIntTypes)
+{
+ uint_type x;
+ x.pow2(1);
+ BOOST_CHECK_EQUAL(x, "2");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow2_3, uint_type, UIntTypes)
+{
+ uint_type x;
+ x.pow2(64);
+ BOOST_CHECK_EQUAL(x, "18446744073709551616");
+}
+*/
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow1, uint_type, UIntTypes)
+{
+ const uint_type x("2");
+ const uint_type z = pow(x, 0);
+ BOOST_CHECK_EQUAL(z, "1");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow2, uint_type, UIntTypes)
+{
+ const uint_type x("2");
+ const uint_type z = pow(x, 1);
+ BOOST_CHECK_EQUAL(z, "2");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow3, uint_type, UIntTypes)
+{
+ const uint_type x("2");
+ const uint_type z = pow(x, 64);
+ BOOST_CHECK_EQUAL(z, "18446744073709551616");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow4, uint_type, UIntTypes)
+{
+ const uint_type x = pow(uint_type("301"), uint_type("259"));
+ const uint_type z(
+ "0x16becbb1b891cbbbab4825ed1335f0f4ef5250f620023061045e87ca80d80ea7daf0cda8"
+ "023aed1a969864de781297ae556f2bba6d951ae294805dc888f6de01dac2b7dd3ab47db207"
+ "b0f980f26a54f1c7dbb3ebc6cd5b952cccc67569487fd2aea057d4326cc56aad90ecd89b3c"
+ "74c1f30f6ac637a64b706087f2fe16c3bf2be3692106717387813a8a2c9da65b657a8a2a61"
+ "abdfdc6698a6f6543d8f5ae88b192293e2a76ed402d3c914ca0c40e21fb1508cb2c5a7dfe5"
+ "1a357fa58bf9e2f1d1fdd2c3e72b600a8e7390ac0ec65cda8b0636595a83dfeed163a0e161"
+ "b17acc476db2cc246bb3b14a1b33cdfd659d43437b2c4a203e07a8f297ad3a716b53d8ce28"
+ "e84f1b3ad36ba0d2f5");
+ BOOST_CHECK_EQUAL(x, z);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(pow5, uint_type, UIntTypes)
+{
+ const uint_type x = pow(uint_type("3"), uint_type("66666"));
+ const uint_type z(
+ "0x8a25f1339bf63db8e5881f75e7f89ad860d393776362040a47448cfbcb4a9402558acf60"
+ "7a590c1fa521b672329cc18a63eca1cadf87465bf8b44ef05fce12fb020ebf2c2b246d9a36"
+ "af527f947f3d238d3e2504dd5a0f3a071dc98784d1084cbfc4554fc21d72f72ae65766600a"
+ "007b364d2c182ba9b9b16011c2853a28fa2455bce4ac2af57f6c8337b85a8e01fd4086f128"
+ "bedf51902d90fb9e9a7e859e65219b46ee14d5a1660f37884801c65d2f580577f7644014a7"
+ "f26f648308b7e7852fcd1702740aeddf1c63d2e41e3a70f13347c1236f8dda54db58b1df1c"
+ "0849b96ec08286e3160db6c7c71b7488d8516af84eb08e8188a4bfbf045f3ed85ad3d63a16"
+ "79a4dab46fd15caf25543e21751c164b9e7bf0c3ca98ce518e95dc7dc9c949b114aac50935"
+ "f3744f4cea72d9f857c2aed3a1b9e682dd00d6c470365b2af4f95733c16cebdd56ca2d0f23"
+ "846be5f1b6bbf0f5fa7ce974bd310e07fe23502def57e53d495364f5b6db3b11ca05582a36"
+ "d17ffb5a409044e2352bfcb4fb721e39a530c8d9d8373c50ec0063aabacff9781e9cc6df7d"
+ "aaa44256e70ec2e3e0db73b4bdcdbc62d86406dd63dcb24551bb1719232ae07381129299c1"
+ "81c17e69b45391e668c5711112e00f90d492a428c15d93e331fc50faa7f0bf3e3de80050ae"
+ "b198df940c84501f2b419b19b03b339b86b5eaed0647808fe1094601bb6d948f2865194f8f"
+ "b661e26e60ce3a0850258ae914b6c35acf512b4ff6b8adad70eb32e649757368216a02fcfb"
+ "dbc887e9003a2edc863c23c878cb9cb84e7bf478258d0c5c297bddf56dc30b87f693efdf7c"
+ "b1c6c42d867ff7c1d953749905e90c74eb8db7c83ba48a69d4c7b5a4d49bda733fb7e18ad3"
+ "df329e4bedb322678ba5b1884509ce90db795dae188978bd1308796f6d34fb4b9b8e95ca7a"
+ "af4599dcff213ace57690345ee9cca65f870fed4d59072a9de2a9d8d523b34881c78e79f6a"
+ "1666e7f01a987d6052fc995f38c92b3412ecff1a009d4c55636afa1e11dd375f909026ad7a"
+ "caf6a593e6df0a607c5f2b231de83bf86d7817dc7f927d05dea16e3752ab18ff6fcac9031b"
+ "390036a0b3c6e89f5d880a3c31755bc9bbe3b74b7cb0ff521f0c61f4b772c1dfc7fdc834e4"
+ "aedb0b257490b0b6f926648617463aceb4b6b6f16e8145cedac27bb671f4a38986c15302e5"
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+ "54e8c3623b0515c83387318a2c9c0a8c99e497f4684fd8ec03505b4b1eb7f5f3ecb8505c2e"
+ "96c0e9d8b44af13a9197d415766f38e9dcf11c4cde6232f1d43f63765d45212535a628aa1e"
+ "354bc23e810f71058e38dbeab9e2ff3f335abcb58293f4e594d643f10be1a7669b667ab735"
+ "1899f7664015a4d5b4051ac01129710f03df6dc71146123e7d443f307341cab65f197bfe87"
+ "5313d66c8dc0338e87c52773ae8f3bdba84dbf8a1a3f4f73b3e0ef9452981521d5a30c01d6"
+ "a6827882790ed81f599371c5ae2a266167cf96d9d01431a6358a669d63f21034e998b47c32"
+ "4ddd505f27253dcef488b1c203ae3f46206769669dd1122ab00dfbf36f89c557d75a6bf7be"
+ "a889f32493efb3bd63a1432c7d7130b7502d2dcc55c85a80ec915370c90f0719328d1a87e0"
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+ "ebb0a14e5eae45a5627b8f81714821ce0e83f742fc79804e27d8bbc38eca3994243a8f5f48"
+ "ae202e7575835c760eb05742dbd11b31111450148dbfafb29ffd28718dada8f6ae40d498fc"
+ "e7d6a24ed98e1aff5e453f70def935430a795b4daddbe4945710f5553d903f95e60b731f41"
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+ "44da807f30d314669ef47d9cef9f7e316bd3e5b706b87237b0aa86365452116f0229d3e35c"
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+ "569fb6ce070ae60811af0e8d88ec983b9b00d492b3a28ac0c64aff11bb9054406b7eb464ab"
+ "9f29e0947329de4811aba7546aca0f35f24d93f701ce9b58fe6c0379ed182149913a599adb"
+ "ef2f7c57a40a7654503a520e07b29a8a9e398b34ac99b4d29a5c4aa2a61abe583489c304c2"
+ "a3b708d3beea806720a179a7fd20de94c24e87fe3dd3856ce5381cb4d1ccd33d1b5323bd48"
+ "f364f8c995a3f8ab098118f66f5f111c4efa9739b69be6f8a09ea4a88c6d24d5d9ab3bb595"
+ "0ecb7fc5f3f9c3c1aac7c89c95ca75931c64651f081181f182d3235dd726329f9ec43c8c2a"
+ "fa9d8ec5058b22ef627105d6dcad48158ec6e8ad202a6c2f034d37c022342fcaec10fc9800"
+ "51c3c3d5d014e58a2be79061a78811860bf2137ee1a1510d4e72f7029252ec8e1f691ddcb0"
+ "8cfa7ab971d1f7b6e20d7c012177eb0f3f6e4a1cab589ee85e09f4c27579f3ff52c09a416b"
+ "5c585b7e6a1b7424779734820eb93e66be93044d09ee8ca34126b47358244b5bc25299b69c"
+ "5d39ed2826de5cfb285981e2ea043cbfbc603ebf6c6a885f68edcff2f0cf4addf628ad5992"
+ "84a798f3ad659f36fae28cb16fcd439ffa5a69c516dff3dad3760f663fb7ba084bc3dc66d4"
+ "6b31f3120c57bf46f7a20c6b225e867977245b3acf75e2136c39fe744999b76dbf44152043"
+ "b7af96a3a0ed4463f6b1b61d5f07a1e0c395c0051656959767e654eb163f53b80026dd5b49"
+ "b90cdbf2ab50306a23287665afc61d7e4bf0d6d5ff4c6416c07d1ca8d6390c1a69084d408e"
+ "1cb35a3afa0bca0c9fe58344d7e992c23b05c22c6cf57349b90f523e7227becdb320f39255"
+ "c3ffbf8e43b20fbd1e898cd181c6abcef5456807bf2914766bc70fb406228ae3c7c23a64ae"
+ "42b3293e17bb4dd622052f433a65fa781c221187aedcfefa816cb040ba11647c785f64ba3a"
+ "1e2eadd17bc6f8eb7e2ba480da06b6606e6f4ede7f9fdaf26fe89cc7cdb0ec08f1c53ea273"
+ "6a83a53824d1f9d05022aba64e65a59f19e6713d60e7c64f5270befed0570ac245490c77ea"
+ "af2baa4165a8cd1b268458b634df1f38c20e79b20d1fa6453e9ceb74c447c53705fab82e7f"
+ "a23251e425215c1fd55818ddcf4449f58ec238ffb1a3cb24b53caaa8430f8b01a1cfd515d9"
+ "91c6547c165b34d3608bc117207480396338645097f84499296425333bb68bf39349c59d04"
+ "dca85341a816fabed09c2d42c601c1966ad4e2baf3eea257f75524e96798b9af773169cf95"
+ "0186968f5aec8fd5906e55c9486a70f44f5435b112a47a33b782f01b5a0dd26ebb6ebb95fa"
+ "0a83d02b444416e2a340f5bade3c76a9217f993d508d48d013737da2c6ed9af245a0877ea1"
+ "b50719b77d26eb1085cd2a418f7c04b9fc413629923aea6b7ecc795958b0ecfec3b820d5b5"
+ "ea6bd1f7cb1b555c2820165f01aa85c49343f7b7005b28a28bcad9bc77999207559b60295a"
+ "e2ed8b11702e14b98c0026712400ec219ff867dd78aa2637927c9921238165292ab08409be"
+ "a2bc683b00e771510fa0db6c956603313a985e2dd1f13d0aaa1f7331aac6b8a5d5b195e8a9"
+ "3f5d5a07e4ce064258e2049f6c4eb1efcd3a7d890d881dfb080e990927d93bea148b5e7645"
+ "7c1bdf2a73d364cc30b81345edf3dcb375c5cc5bcf34536ad0481f3669ed32cb1e9c0895a5"
+ "0d2542bdb135878a8fa4fec38d46f0e3c8f9b14738ff36865d29c94b31faf6119b479b8e2f"
+ "dc9e1c838b82605809c66b08576b97b7b5d90d4865c77201c678cdcf770a7db91f2070c17c"
+ "67d4327e4d7ced8e2a73285993b1a19fe3eab29154035e4cac04d0cfada92aa5963e785f8c"
+ "a20d77e9f7e65169db4d9196abfc76c70f520b41017313d7ff8c43d129134a0f265ff6f10f"
+ "ad88054ddf128680ac133315bdd91b00d92d026a0d692f80069bb45aede03f09622237bae8"
+ "ef09462a0bfc4bbdda430833702a8481d6eb028f111b7305d33f30c8558a7d270a3aa5610c"
+ "aa8bcb39867efce7a44b0595c556c0befe0899908b82af48c07106e30c667ecd75df0df03f"
+ "9a606f680afff7c1b12625177d3f829adc2e304a5b1bb6c8788b712ebb6759629857d243d9"
+ "57b8aa44369fe3eda0474827c60ba9a042879c9e5896b71b35aa19f8d6e5ef5e0f713ed302"
+ "b8f50bc1d9083b7fd28765c8206e774ff62a522949c56dbe738b99d9e9b2eee7fce9029a92"
+ "b7c21f31cb36fdb974d237c7641060105e77a6a6a0e61d3a60aa4f792622e897e89bf6809c"
+ "d9f72674ee4aab58e636200e0de7d08efabbcbba05e408b16d9b472f8b993e0d3b5b74c105"
+ "e171ed02150e3a9c4a95a8b5cee3d35788a45bf328e2018501b86e973300221be59787fb68"
+ "1064a6f2bbaa44aa4be578bb8fa3c24e0dfcd16f8da1bcf72b9ee98c86ab8fea3913f5f3fa"
+ "c6840cf705fc1e1b945047e7301efa976135fc0bdbdc2188d9911cbb2ca2cc99f0d62b1888"
+ "cfbdff94ebd6b1583ebc07ad468ff5ca600e28438cc89e5a7ba3fa97742e51c45eddee2c21"
+ "46c29f0fd3f8ef8e2e3be6ca727e1d35ccfc5539f372103ea30803779089fb811aaf517213"
+ "ea35fb33c0d4a2464f37f286be1804030d59bf53be9bbc11fbdfa9b2fee8deb60f6ac7d6b4"
+ "070f4d666235ee4dc314b85869f339333a1b3cff2eaec781ea6a07a2440bb035b75a00ee0a"
+ "7d42672f160604a2e372c3ced65d4a556412837c8038f6a93e4eecfbcb4408a42159e76625"
+ "3b2e0f443edfb3e6f098021eb7b030f6d0d4b20243222604ea84d81e03a0f7e63a447f9bd1"
+ "a3f26485bf69912e16dcfb0222c8c5d74e7166e1f899101c74abcf4fc0558b4ae26a2c0e08"
+ "e2dc20c91d2c9fbe835d44ff15a26c6b976fcece277e4ff9fe80c0a28d5bf40bc40af5f782"
+ "13476c0b6873fe734a066fda3eb350302d7206168dd61ee4de813c8ac65a3a48cb40ccc821"
+ "c8efa14ce9320e6f0de35b5e68735bab8d03ef1185799151bb5f8a3f4d956752aec525cc73"
+ "d187665a0027189cd895f01422e59abed3bba5b655828d4aff00d77c846ea690c18a5a3f2b"
+ "86fd9da63f095da01f3778107b640a2813197a3f7023d652b2865ea8e2f93398fafa2f9af9"
+ "0ee81a8d6eba0d6671951ae831f85bb510605caf3ef2550ed0ded1fb90061857dd26eded72"
+ "5fe4399711fb2d0178a386046db054259a44896fcb795961e283fcda0d13be9b390fdc71a3"
+ "e3aadbac44dc71b9086e4b204cae1b0fa06268bd73b746807fd4c0ece38fdf877c490cdc7f"
+ "b622c8ec94b374a3b739c013476ba680edf46739c981ab095c175acc045c445ae15b208637"
+ "b13b841eae64b9b571630dc82119547ceefbab3288fa224d73b572ab1ac600258dbb7711c3"
+ "2801723744a2f80902b46286d52665d368892de15e283f30a5e3fe1d36284ad42afeb58a7f"
+ "a9850d6afd277ce4709c716160521dfabc755803932fdac96c096606be2690af795f418ba1"
+ "a3fd1e5758f570d702be4855c76c8ffeb3cf31056b47ca5d7aa498fd83302e490c61b32c8d"
+ "3586f43ea5772ad98b724cc51e2337d4674f086f915556b69ecfb837e4586c84b147cfbea8"
+ "a6427fd5cef19750866fb59dbc669de92972052b651c8d4c2f7cad2db4e2690b23db7830c1"
+ "c20658fce756d74db87eb7b93020dfbc49b86fb1ca81291f337d4642a0b330665aa8f4087f"
+ "ee34d22b190639bd02cf126ad96a34f21957e92549e0d96f54d0b1aeb904c33ea8e6733f0f"
+ "42abc821451471293415c18d4e01c044a3b96f85850c73a26aa01a382e424350f85eb5007c"
+ "d23878fd90f21c0413eeca6337a0a1b7bebf8042fbb10c6b6f6469dcd61ac494bd3efb2d5f"
+ "fbfd5e5398920d5a13e84da91a1636ae862c95b2a4d99e8e62eb43a7ce89a543db8c942926"
+ "e48b08d33b89afb9582bf56e50c5cd9d64e9e733e9a47404217b51d8854872800edcfd5426"
+ "39385e1f66242e01f97fd3a97e201eb95d16305956e57a8f9adede23791b8ee2fa3b81db49"
+ "f56cd02fa900439c2bb8b9fa7c65ee662d415164f5930a7c65769156080b3cce889e103330"
+ "a9a7934962d5ef10e8577438524c484aeccf8f556975a2006cc4e7d7143165f2f771d77a64"
+ "06d2251b8dd659c8a42aebac5d8e5513bd0527f9b6f709714bd82cceda33a18a572d7b1f28"
+ "e998a96d4fb596f021f68215356439f40ad42282bf784b954bc4900860bc07f4452ccae599"
+ "5a27afc8535b5854c5305ff02af7b876879512071f6d7aa7eb5ed7d37c0e657c00962f3441"
+ "2b23a694e75a52a60fc7a861deec2f27ce4f323dce313b98dcd9c4d419985ad696c5f58361"
+ "392563e2b0a0f72ca286e9a5a044a32685a01e4ade75983f3e53f74f4e1022b82479269ef5"
+ "279ec1765955642c27aa83847e0b9c029b63da839835575820699af9a038b587a468e556d4"
+ "26601282fbe9be24e1b33d0e1bcab5c5398f3ac6b67889f4c99b40cfa906fc2cf002868c2f"
+ "3d6f3bc73b683bf210ee4a5f5281c416898ae4cd14ced66f51e1c48a08420d275c90c3d3c7"
+ "7ca4eb22fdc5df97ff81eb1adf987118b7fc6b501b8a2c7a9be1933ab3b6f651ae93141ff9"
+ "7de2fe9ad3fc3852df6c89b2959a0fbfca0b63a7cec988e7eddc256962d58c2916f17b4981"
+ "0fe5543a37b5d74b52fa3bbb5385b7a08ad38b99b80b4744d48aaab4075c7672a45736e3d3"
+ "8c58f827472ba8550dff056e919f439796ba9c905a5a1df24e93d40958e215c59edba0886f"
+ "5c9f8c8b05dba2f2c9d4e568555ea29018cef66b10ebbbf76cfbf6d72c1795402a70bed95a"
+ "c819b0f05431b2203355e77827c72fb5b0270b1817df07cd9c99a4df89f8cbec7a87ab59e6"
+ "3cfc554d19d1f38a29206d3e5e590de1e6e329c2585d215945e9397d6762d60e23992a450b"
+ "e389e03eccdc0901808be8ebc45051b32956a1189649f25c37a09287762f5f4a5c69c54867"
+ "d63159662c6d83cfdaa0a9ffd19b356ef4aaeae58d6c481b84ede83decbbc44717f6e0be29"
+ );
+ BOOST_CHECK_EQUAL(x, z);
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/prerequisite.hpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/prerequisite.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,58 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/cstdint.hpp>
+#include <boost/mp_math/integer.hpp>
+#include <boost/mpl/unique.hpp>
+#include <boost/mpl/vector.hpp>
+#include <boost/type_traits/is_same.hpp>
+
+static const bool use_debug_mode = true;
+
+typedef boost::mpl::vector<
+ boost::mp_math::integer<
+ boost::mp_math::unbounded<
+ false,
+ std::allocator<void>,
+ boost::mp_math::unbounded_traits<
+ boost::uint8_t, boost::uint16_t, std::size_t, use_debug_mode>
+ >
+ >,
+ boost::mp_math::integer<
+ boost::mp_math::unbounded<
+ false,
+ std::allocator<void>,
+ boost::mp_math::unbounded_traits<
+ boost::uint16_t, boost::uint32_t, std::size_t, use_debug_mode>
+ >
+ >,
+#ifndef BOOST_NO_INT64_T
+ boost::mp_math::integer<
+ boost::mp_math::unbounded<
+ false,
+ std::allocator<void>,
+ boost::mp_math::unbounded_traits<
+ boost::uint32_t, boost::uint64_t, std::size_t, use_debug_mode>
+ >
+ >,
+#endif
+ boost::mp_math::integer<boost::mp_math::unbounded<false> >,
+ boost::mp_math::unbounded<false>,
+ boost::mp_math::unbounded_uint<>
+> UIntTypes2;
+
+
+struct UIntTypes
+:
+ boost::mpl::if_c<
+ use_debug_mode,
+ UIntTypes2,
+ boost::mpl::unique<
+ UIntTypes2,
+ boost::is_same<boost::mpl::_1, boost::mpl::_2>
+ >
+ >::type
+{};
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/root.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/root.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,50 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt1, uint_type, UIntTypes)
+{
+ const uint_type x("279841");
+ const uint_type y = sqrt(x);
+ BOOST_CHECK_EQUAL(y, "529");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqrt2, uint_type, UIntTypes)
+{
+ const uint_type x("78310985281");
+ const uint_type y = sqrt(x);
+ BOOST_CHECK_EQUAL(y, "279841");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root1, uint_type, UIntTypes)
+{
+ const uint_type x("130321");
+ const uint_type y = nth_root(4, x);
+ BOOST_CHECK_EQUAL(y, "19");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root2, uint_type, UIntTypes)
+{
+ const uint_type x("85766121");
+ const uint_type y = nth_root(3, x);
+ BOOST_CHECK_EQUAL(y, "441");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(nth_root3, uint_type, UIntTypes)
+{
+ const uint_type x(
+ "0x2b93d251afa09c5481f4522279f7c19ca08124199621dfd18342a16c7303b31ccea8176b"
+ "d4a7a9bf991e30d8bde1e08356a728b9f5729c35d29884050101341228c5df3f98354d42b7"
+ "a0d7fdfbe8d5270b09ee89ba1eeab61be67eb4471d92fdffa88d1ca494ed3eec58a34ff958"
+ "b518a588584a2505c9c2b19ce1eb21cba36c7a5297cb6e532884e89451f4406b993582f3cd"
+ "b75cab98f8c4c6f3837977db2a594dfa16943062187ca95babc9da78bdd73ca7233eefc047"
+ "8d882e0d4f09a5083a31b801964343d47b6ce9e937df8c44a9a02bac5101da1823373e663c"
+ "1329ece1eb89fc178355660fe1c92c7d8ff11524702fad6e2255447946442356b00810101");
+ const uint_type y = nth_root(uint_type("257"), x);
+ BOOST_CHECK_EQUAL(y, "257");
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/serialization.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/serialization.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,36 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <sstream>
+#include <boost/archive/text_oarchive.hpp>
+#include <boost/archive/text_iarchive.hpp>
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+#include <boost/mp_math/integer_serialization.hpp>
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(test_serialization1, uint_type, UIntTypes)
+{
+ uint_type x("0x123456789abcdef25700000000003a");
+ uint_type y;
+
+ std::stringstream s;
+
+ // Wrap this in a block so that the text_oarchive dtor writes a terminating
+ // null character to the stream before opening an input archive on it.
+ // See the note on the stream_error exception in the Boost.Serialization
+ // documentation.
+ {
+ boost::archive::text_oarchive oa(s);
+ oa << x;
+ }
+
+ {
+ boost::archive::text_iarchive ia(s);
+ ia >> y;
+ }
+
+ BOOST_CHECK_EQUAL(x, y);
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/shift.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/shift.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,49 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(left_shift1, uint_type, UIntTypes)
+{
+ uint_type x("246556567891512374789511237456594795648912323213860000007849");
+ x <<= 2;
+ const uint_type y(
+ "986226271566049499158044949826379182595649292855440000031396");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(left_shift2, uint_type, UIntTypes)
+{
+ uint_type x("246556567891512374789511237456594795648912323213860000007849");
+ x <<= 99;
+ const uint_type y(
+ "156273790638943927367154966864556037925514287264587565911690950563681284"
+ "261029491729498112");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift1, uint_type, UIntTypes)
+{
+ uint_type x("246556567891512374789511237456594795648912323213860000007849");
+ x >>= 17;
+ uint_type y(
+ "1881077330715273855510797404911764493171022973738555908");
+ BOOST_CHECK_EQUAL(x, y);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift2, uint_type, UIntTypes)
+{
+ uint_type x("0");
+ x >>= 17;
+ BOOST_CHECK_EQUAL(x, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(right_shift3, uint_type, UIntTypes)
+{
+ uint_type x("14222200");
+ x >>= 8;
+ BOOST_CHECK_EQUAL(x, "55555");
+}
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/sqr.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/sqr.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,202 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr1, uint_type, UIntTypes)
+{
+ const uint_type x("123456789");
+ const uint_type y = x * x;
+ BOOST_CHECK_EQUAL(y, "15241578750190521");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr2, uint_type, UIntTypes)
+{
+ const uint_type x("25");
+ const uint_type y = x * x;
+ BOOST_CHECK_EQUAL(y, "625");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr3, uint_type, UIntTypes)
+{
+ const uint_type x("300");
+ const uint_type y = x * x;
+ const uint_type z("90000");
+ BOOST_CHECK_EQUAL(y, z);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr4, uint_type, UIntTypes)
+{
+ const uint_type x("2228218");
+ const uint_type y = x * x;
+ BOOST_CHECK_EQUAL(y, "4964955455524");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr5, uint_type, UIntTypes)
+{
+ const uint_type x("999998000001");
+ const uint_type y = x * x;
+ const uint_type z("999996000005999996000001");
+ BOOST_CHECK_EQUAL(y, z);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sqr6, uint_type, UIntTypes)
+{
+ // this tests toom squaring and karatsuba squaring for 8, 16 and 32 bit
+ // digit_type
+ const uint_type x(
+ "0x5004a2519b00503006126bb044af8930502951243994250616123426085258764a856336"
+ "35702406cff061642794728883255642074744145228324022219347019013411158803532"
+ "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
+ "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
+ "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
+ "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
+ "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
+ "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
+ "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "9464098710748f27372836255355251ae330455ffaa58681216515eeff0330517814dd7487"
+ "34682745159208158750835203309620570274592666481348052963762094268695162425"
+ "18850320172906096781969070339129822281355221058882087466637338881223511228"
+ "63144016884857141834687376804878770495858121023810198067988560350169566260"
+ "5944107067ac5771a1662497b8b93cfe57291387313365462656674328aaaaaf9067287310"
+ "ea6863ec68378827380764363420573208101547102942bf05465397209378421688020320"
+ "35702406cff061642794728883255642074744145228324022219347019013411158803532"
+ "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
+ "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
+ "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
+ "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
+ "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
+ "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
+ "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "18850320172906096781969070339129822281355221058882087466637338881223511228"
+ "63144016884857141834687376804878770495858121023810198067988560350169566260"
+ "59441070673981642057711662497893572913873133654626566743289483229067287310"
+ "35702406cff061642794728883255642074744145228324022219347019013411158803532"
+ "4599404120656564868354acc9369a42721979894500607265f042a53387791b3dd4784511"
+ "50227920502852884378111055ccff50357557404795594025600468996407045934090727"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
+ "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
+ "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
+ "6ca63511429296727b70a852e1b21384d2c6dfc53380d13650a7354766a0abb81c2c92e927"
+ "22c85a2bfe8a1a81a664bc24b8b70c76c51a3d192e819d6990624f40e3585106aa07019a4c"
+ "1161e376c082748774c34b0bcb5391c0cb34ed8aa4a5b9cca4f682e6ff3748f82ee78a5636"
+ "08041078777870387730504addbc23489bdbd45615ca892497b8b93428a2f9871374491b5c"
+ "16863866837882738076436342057320810154710294295605465397209378421688020320"
+ "0fbcfe9b5dba53956c25b59f111f1923f82a4ab1c5ed5d807aa9812835b01243185be550c7"
+ "dc372be5d7480deb1fe9bdc06a7c19bf174e49b69c1efbe47860fc19dc6240ca1cc2de92c6"
+ "f4a7484aa5cb0a9dc76f988da983e5152a831c66db00327c8bf597fc7c6e00bf3d5a791470"
+ "f84c878148cc7020890befffaa4506cebbef9a3f7c67178f2");
+
+ const uint_type y = x * x;
+
+ const uint_type z(
+ "0x1902e5887a586c505ed49b0ef0db72e959da458fbfe7f7f1738b9da657ebc6b4f3eeda8f3"
+ "45f86a9439fb0a314af8a6d54e9002f6b9778bc217f31e1c2af869b890e50b105f2a6c8f6d4"
+ "d9f7ce008697c1ef9f6b1b3d58089517db9a209f0951f3843c9f5dd81da8082a4e79771c9fe"
+ "c7a967defed9c1d7229a9e6a78226389976caba3a3419a68d1376d7b67eb20136d1c47b480f"
+ "446428ec425ddeb779492e6e40c2318633e6783066d046486a419676066b0fcacf9c9da24ef"
+ "bb6ae2a639af668b9c732ed3ba74f4e73f28cffbc415d3a086decd149e1dd1f4265ede8666c"
+ "2963f2ef61b190fb094730110586e73afc7656f6e8e3188767ee075b98cceff2de2959b3c51"
+ "eb0cd03b5d277846536a3d5fa2baaff03d2ff90785581d170ad264d845d6e3522921afae94f"
+ "13eda75f99694a961beff0495830b53f1b282d4fc5fa665a402cc253d71aa411a16c7cf3825"
+ "6ff351d8e7f6c476d01ca3d39947a71703488cc0c85f7ce9ae7521e22ce4cb99e14dcaaaa69"
+ "d8f1390f8c8275c899e8ec14b2fb9100bd8c4e44bc2d531f049a31583e11d73070a815efad7"
+ "0e28caa18cd89a7e4bb1a17a961ae011511fe3ef495ae1c8e44653a73c6434ee77b242f7d9a"
+ "462613b92a5809da93c6d687222abf79b09a718fdf7787c7aff48b1e529da53898273abab56"
+ "00d67781a15c06e3741c79948cecbd3cd24414d40b0087844c9271bae8d470571a4e87309f9"
+ "ba510ef32c2def3e29f0f342f9a6f50fb00ee16159d0de74dfc85baf97c861a1ae63aca48b7"
+ "b2c3830ae11aa818f6da2a3cc74b5c2d0c635c9dd6d9fc5b9d35e46f8a53b93724e112a140e"
+ "cdee10eeaefa830d4678d06e1f3426abba1c9f76415ed479bee5160a8a5fcf9d5803552ca5a"
+ "810ea290fab7df557d9687af8782413fd04bf41454eae63c470ab231186c7aaf88b7e8de2ef"
+ "5e04cc8f9738f42ab5c8f993d13f8051765d4369709e54d24ec5e14138d1fe7ac81b311eb42"
+ "b0c35deebd10a3f5a60535870eeebd8662d11844ae4b39507232787d04e3c214e5b73b7b280"
+ "3395fd5a5c0c373cf2dbe76a2972e3bbaf6ff166c8134ad831ed000a4c4d5e615b74d697f8c"
+ "2be9fd8326e1aa352bcdb5ba460a0d34f750de03701e98ea43969c5b3b9de3e7bb562a320de"
+ "b10d1c8671b523611ffe7c2da353a1d3b86cf1c4d34d3347d02337e0656b9b39c8fe1f961f3"
+ "b5919df4469e895d3869590c042d6f881d9781c413613f6c5a22fd9cd24c906582e143b04b7"
+ "a09aefeed701bbf92687e995cc56578784b96c5a7a648d5c166c3b7c9a0c2df9c0166bf00b8"
+ "55c1f6e236ac96484638733eb9e84ccc4ccb33a49399e5057bd2d96ca51133496d5283a2085"
+ "56aa7f2b3264678f99f7cf5380bd61180230870ae35c00d272ec73d960ead550b29730a42a1"
+ "051e825890ec2283cf0de984af072a2125fd4ff692e47ef620b24a952c37ea379444061869c"
+ "aec75d2836afff972e54255daa9069f4c51f5bdb8ada41d3907fb5581dc7289d50577663616"
+ "464fc8b3f99676dd67bb93358a897feadd7a92336a0f4af44c9325fc53ba1d87f7b914e4847"
+ "462109cba84ad8498cd717c503d4c363b8ff405df44fa84bc9c8bed141c7f91954098b2ecb8"
+ "b59fc457ec86022bf6c395bb382f6a193e3387d52f3e1978af4576153fa7fb60d5b896cef43"
+ "e628045ec0577971b78e7ab1b3a9fa9ea6cc8e4a04f141e744f70fe0c800ce5dd3c748729c6"
+ "efa085877a7d9296ad489883ee966117e5db61bafbcd55284dc8d470646473761ec606357bb"
+ "fed899cd7c69e027656ef30b12e8a9e63868048bae95c7b67d26a843c94cec551ed5093542b"
+ "ff7437316a830e3c48f19491a81fb37aef5d89ee08b507b881e65fbf8dd3343e58b63ea3a2b"
+ "d465e02c5cb673e5c8cced17f5d3f9fad8307cd6c3abf9111e063fb197df4db52eac6092229"
+ "64e157a1b172004c1817162e688b55245c598cbdc5fd9f74db4911484feb5a390c27d0efeb3"
+ "a8bc21ff9dec02808fad5f882580facb5324a4f3a21b75c23cc311be7afe003895351fd07fa"
+ "c037d67718cc11aa5942837ee9048882e2564b625689ee3bd9487c4ec43f562508bbcd0671c"
+ "18434ca6ae92725d905210060d80e2524eb38ed600aeaf486d7b2b690a9f567d86444c35fd9"
+ "8bdf6b665dbf7e43557b281a792400274ca21fec996e5e6142780f8a7adcddbae4a2e9474a1"
+ "38931c19f96368bb2bc40aace10616bef5c975feca3c7f3e1122b41a39df9202a7a6405c647"
+ "d032f8c692e1e89838fc1dacb291d9e2d8ee90d88b6f598947d085289f9c4247548628a9e3f"
+ "6ea8ac5980e290749e39a9417b20f39dbbbed20209584a741747771020b2287007b37d17779"
+ "21303e3b7a9ee49db7b14dda965d9241548387e610758507c946eee0c49b67efaeedbe64e6b"
+ "114e3b4ddff5edd2050322d8298ae66388b1fb64435fa064364f41f129ce83a0cc563f8796e"
+ "1dd09be1a03bc5567caed9326df5714f6cf88ca247826ce93add7d17332d6870b1d0613a4fd"
+ "fd4c7d8185db385687d735d0bf22e87a045ad2a397db9c4ee0908a047f087a0fb49a27f65d0"
+ "e6e6ef0ef506d1411788ac027c29be3e93253e61ee76f951d3ce721c825bf5b883471f91f68"
+ "a37ca36d198adf93063e220a16b94e9aaca5c4691590ff2a696c1663b5ca69e3f3a11409cf9"
+ "727cf409a1f87a0a5e4805008c7488b7c9e23c42e33bfb0fab7e4f59e482ec50aa1b4d64996"
+ "4e7232c26acb75217ef1b200ebde38169d6ce7aeb2746aa29249d61af1e168a256e1848cb33"
+ "873c5457afd48194f77c786bcd8ce842605117c66b003abc05fb9b74869cc832c88df506e0e"
+ "79ebb0436443fb467269e42840a0486b3f35acca04b000876b9bf2c6a7f09ec6ff7ce198f8f"
+ "584e3e22b4a2e8279c1a043899fe0d2e5180ec1738b1cb23032374069b33a471fdd8e5f5be2"
+ "a4ff945697d9dc540878bc6a6704cb8b866914fbce94021bc2e6743dc7e160a8780912a90ff"
+ "732a81b060d97f777713881e9214474e1196ff13f07361385e19e5c5ffa24aa6b00f473cfd3"
+ "e71c42ed1c31eb9b5ec91635bf8c77e7aff696009da2163c7e1621bea9b30479a8e10906d3e"
+ "1ba06f3e64e776a62164238d18cebaf9684427fe8e5930fbd8892851c8cfa4e2c729558b909"
+ "a665f57919565d834fbebb0d64ba1721b083ca6fe55dab07546df6c1e60ab41f4836f64c27c"
+ "4f715764a472f01d947cbf8d3cd8e011129edecca4334b095edf3d37e27b7c30900eac3702c"
+ "3e09179a53462cda8dece1ecdda223d6cc32c9363f5123982b071367609b01bcfccfd4a0120"
+ "23b4dfacb5993d04434aac5a95e0192770206b4a3bdcb3a75013daedf68ed40cfca0e4bd802"
+ "4906ff8cc816d7bf556898545965b846f2b1dda3216d17d236e4ba5d2427ee799696c60297a"
+ "c720adacd63da47e2e3aeeb99c136e1b5de50cfe523823a87f94b1b4b8f6be2162ea40441dc"
+ "2f9af466c7642d0ef34429a986ae96e962e4a2cd9c12a41d71398ac03c990a15364c38a3bd9"
+ "af6605d1c9b807babd942bd66d2f6e4ccfaa2131354cf78aa09ffcec32258c9c3b53fbcc755"
+ "5bfeb11152332bef6420b08528d43f6865c5d53ade958d3b58dfe2f34391ea8d2d8fb35c32e"
+ "6a8f569d6cc9d456ff5b78fae829cc171f95f5389373a0dee3565a428237ec4e68b6e6efc3c"
+ "a5bd220699eb80bd498d2ea90d43b901881567e9c18898caea36334008b4a08e3e6cbda4e17"
+ "db7f5187d6f3284eca8c1a03faa28a2a23b27d560690642db0ea485e4be8c1c8b4441234f39"
+ "f31a6c9fe5cc7e50c777acd0746bbfb7399ee262a36a54a8ee25c334e503dcd6e00f7e9ac3a"
+ "80495156af9f9aaac62fe02c4c2373cc03d32c4be1b077d97f6167413661403a38b0df999d0"
+ "24701c5f17e5e5701cf9b9eccd9417af7637139473aab760b7ecafa863e7f049a6b98be603b"
+ "6bf0132b211b80123246c657cfdbb4b5dff7be43c364be943b5cdf03db86a6cd56a96187cb4"
+ "5b6acbf37383ca3fe7c9cc3b65a57c9ea6f4d686222801ce6d1463bb92ff5f2599619388660"
+ "99365474bbcba180f940ede8a02777bcf55d3549cfcd819aca8f055074d81af6472c3c9beaa"
+ "67b8f89066f1e02d1502aa13a4c872b9b1dc4e2a2b6d58eaa869c9e62a9f7e01efc2c87eb6a"
+ "9bc80d29c9c48a10edec1e5a799aeff2a580736525357ae40d677aa4fb6533c15b4afed1fde"
+ "f6e0e4c0a548c5be8751da42ffd8b409dcd77487437a16d769e232c95d0b780a46395ea0023"
+ "6cf19b1fafbda1c8c75aee09e06bcf0383816d0f9c364baa95a09fe2e2894693fc66166a16a"
+ "e152a24dfc5ca3646ce2cafe40a7ffbeb561ae4db74dc7ff045e85a9126a25152f0342d1f87"
+ "3ecb21bc411771eb7589f3df1be59fa97156ca5d3c93a7df10b90c525e25df36e7947614770"
+ "1f9ab2a368b179428ad005c7af2fb500fac032f0f1ff3f9694412d3c164fcc444075135fd9d"
+ "a58e2fab3ebf7b5fcaaf20256052e64b59c92db1cd3c2e0c2df41b06a540a754d349a284fa1"
+ "45a13795674240616f433d174fc67dda102db9e9e3bf23d4a8816ad130bca720ef707606206"
+ "7ab36f2061261981528dfdcaa3e21787f164e6ba318bb018f3974540ae8559790284852d31a"
+ "d8c77066f8620345f099606eced7f93e465b3a31a7b196b24e76a44d7ec6f597fb4a3a9a1a8"
+ "ba5611156e20c294b90cdde30166ee59c0c80936e992e5f3185c6396756194a7c8f1971a0b8"
+ "27477b2060dfe721fd0c2e725e25cc99d1227c6db9d5452dd70dbb0c2db67187a4e93c9bcfa"
+ "0049fad1289773ea6ffdcf6e6680a44cd577223b8f86eae3568ee5cd0b2f45a17f7b6d7531c"
+ "925e2c22b4004fd8e12ab70e2392e190dab556c0227b660cc226f5db558668bcb426a8153bc"
+ "32af18b8c7dbe3c2ad210300582f823fc5fd7aadc653c2c0b59b3e5362b158793485e56c7c4"
+ "c4");
+
+ BOOST_CHECK_EQUAL(y, z);
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/stream_io.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/stream_io.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,124 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dec_output, uint_type, UIntTypes)
+{
+ const uint_type x("1024");
+ std::ostringstream os;
+ os << x;
+ BOOST_CHECK_EQUAL(os.str(), "1024");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dec_output_w_showbase, uint_type, UIntTypes)
+{
+ const uint_type x("1024");
+ std::ostringstream os;
+ os.setf(std::ios_base::showbase);
+ os << x;
+ BOOST_CHECK_EQUAL(os.str(), "1024");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(oct_output, uint_type, UIntTypes)
+{
+ const uint_type x("1024");
+ std::ostringstream os;
+ os.setf(std::ios_base::oct, std::ios_base::basefield);
+ os << x;
+ BOOST_CHECK_EQUAL(os.str(), "2000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(oct_output_w_showbase, uint_type, UIntTypes)
+{
+ const uint_type x("1024");
+ std::ostringstream os;
+ os.setf(std::ios_base::oct, std::ios_base::basefield);
+ os.setf(std::ios_base::showbase);
+ os << x;
+ BOOST_CHECK_EQUAL(os.str(), "02000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output, uint_type, UIntTypes)
+{
+ const uint_type x("1024");
+ std::ostringstream os;
+ os.setf(std::ios_base::hex, std::ios_base::basefield);
+ os << x;
+ BOOST_CHECK_EQUAL(os.str(), "400");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase, uint_type, UIntTypes)
+{
+ const uint_type x("1024");
+ std::ostringstream os;
+ os.setf(std::ios_base::hex, std::ios_base::basefield);
+ os.setf(std::ios_base::showbase);
+ os << x;
+ BOOST_CHECK_EQUAL(os.str(), "0x400");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase_and_uppercase, uint_type, UIntTypes)
+{
+ const uint_type x("0xabcdef0");
+ std::ostringstream os;
+ os.setf(std::ios_base::hex, std::ios_base::basefield);
+ os.setf(std::ios_base::showbase | std::ios_base::uppercase);
+ os << x;
+ BOOST_CHECK_EQUAL(os.str(), "0XABCDEF0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_output_w_showbase_and_showpos, uint_type, UIntTypes)
+{
+ const uint_type x("1024");
+ std::ostringstream os;
+ os.setf(std::ios_base::hex, std::ios_base::basefield);
+ os.setf(std::ios_base::showbase | std::ios_base::showpos);
+ os << x;
+ BOOST_CHECK_EQUAL(os.str(), "+0x400");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dec_input1, uint_type, UIntTypes)
+{
+ uint_type x;
+ std::stringstream s;
+ s << "123456";
+ s >> x;
+ BOOST_CHECK_EQUAL(x, "123456");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(dec_input2, uint_type, UIntTypes)
+{
+ uint_type x, y;
+ std::stringstream s;
+ s << "123456";
+ s << " " << "987654321";
+ s >> x;
+ BOOST_CHECK_EQUAL(x, "123456");
+ BOOST_REQUIRE(s.good());
+ s >> y;
+ BOOST_CHECK_EQUAL(y, "987654321");
+ BOOST_CHECK(s.good());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(oct_input, uint_type, UIntTypes)
+{
+ uint_type x;
+ std::stringstream s;
+ s << "0123456";
+ s >> x;
+ BOOST_CHECK_EQUAL(x, "0123456");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(hex_input, uint_type, UIntTypes)
+{
+ uint_type x;
+ std::stringstream s;
+ s << "0xFFFFAB01";
+ s >> x;
+ BOOST_CHECK_EQUAL(x, "0xFFFFAB01");
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/string_ops.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/string_ops.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,142 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string1, uint_type, UIntTypes)
+{
+ const uint_type x("0xabcdef123456789");
+ const std::string s =
+ x.template to_string<std::string>(std::ios::hex | std::ios::showbase);
+ BOOST_CHECK_EQUAL(s, "0xabcdef123456789");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string2, uint_type, UIntTypes)
+{
+ const uint_type x("12345678901234567890");
+ const std::string s = x.template to_string<std::string>();
+ BOOST_CHECK_EQUAL(s, "12345678901234567890");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string3, uint_type, UIntTypes)
+{
+ const uint_type x("0xabcdef123456789");
+ const std::string s = x.template to_string<std::string>(
+ std::ios::hex | std::ios::showbase | std::ios::uppercase);
+ BOOST_CHECK_EQUAL(s, "0XABCDEF123456789");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string4, uint_type, UIntTypes)
+{
+ const uint_type x("76484675");
+ const std::string s = x.template to_string<std::string>(std::ios::oct);
+ BOOST_CHECK_EQUAL(s, "443610103");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string5, uint_type, UIntTypes)
+{
+ const uint_type x("1024");
+ const std::string s = x.template to_string<std::string>(std::ios::oct);
+ BOOST_CHECK_EQUAL(s, "2000");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string6, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const std::string s =
+ x.template to_string<std::string>(
+ std::ios_base::dec | std::ios_base::showbase | std::ios_base::showpos);
+ BOOST_CHECK_EQUAL(s, "+0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string7, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const std::string s =
+ x.template to_string<std::string>(
+ std::ios_base::oct | std::ios_base::showbase | std::ios_base::showpos);
+ BOOST_CHECK_EQUAL(s, "+0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string9, uint_type, UIntTypes)
+{
+ const uint_type x("1");
+ const std::string s =
+ x.template to_string<std::string>(
+ std::ios_base::hex | std::ios_base::showbase | std::ios_base::showpos);
+ BOOST_CHECK_EQUAL(s, "+0x1");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string10, uint_type, UIntTypes)
+{
+ const uint_type x("0x95a6801ce5292b9a8410e1a59dd29967");
+ const std::string s =
+ x.template to_string<std::string>(std::ios_base::hex);
+ BOOST_CHECK_EQUAL(s, "95a6801ce5292b9a8410e1a59dd29967");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_to_string11, uint_type, UIntTypes)
+{
+ const uint_type x("0x12471fa56d6");
+ const std::string s = x.template to_string<std::string>();
+ BOOST_CHECK_EQUAL(s, "1256042682070");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign1, uint_type, UIntTypes)
+{
+ uint_type x;
+ x = "269513460";
+ BOOST_CHECK_EQUAL(x, "269513460");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign2, uint_type, UIntTypes)
+{
+ uint_type x;
+ x = "0xabcdef123456789";
+ BOOST_CHECK_EQUAL(x, "0xabcdef123456789");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign3, uint_type, UIntTypes)
+{
+ uint_type x;
+ x = "012345676543210000001";
+ BOOST_CHECK_EQUAL(x, "012345676543210000001");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign4, uint_type, UIntTypes)
+{
+ uint_type x;
+ x = "0";
+ BOOST_CHECK_EQUAL(!x, true);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(op_assign5, uint_type, UIntTypes)
+{
+ uint_type x("0xabcedf03030303");
+ x = "012345676543210000001";
+ BOOST_CHECK_EQUAL(x, "012345676543210000001");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(assign1, uint_type, UIntTypes)
+{
+ uint_type x;
+ x.assign("123456789876543210000001", std::ios::dec);
+ BOOST_CHECK_EQUAL(x, "123456789876543210000001");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(assign2, uint_type, UIntTypes)
+{
+ uint_type x;
+ x.assign("abcdefabcdef1234567890", std::ios::hex);
+ BOOST_CHECK_EQUAL(x, "0xabcdefabcdef1234567890");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(assign3, uint_type, UIntTypes)
+{
+ uint_type x("564897123123456456789789789897");
+ x.assign("1234567000000000000000000000000077", std::ios::oct);
+ BOOST_CHECK_EQUAL(x, "01234567000000000000000000000000077");
+}
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/sub.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/sub.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,68 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub1, uint_type, UIntTypes)
+{
+ const uint_type x("0");
+ const uint_type y("0");
+ const uint_type z = x - y;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub2, uint_type, UIntTypes)
+{
+ const uint_type x("955588990000001");
+ const uint_type y("9801");
+ const uint_type z = x - y;
+ BOOST_CHECK_EQUAL(z, "955588989990200");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub3, uint_type, UIntTypes)
+{
+ const uint_type x(
+ "49144609407766890328547643707523663509662747376486271392344480900673178645"
+ "33198519112197059826509662943577383543858946941049753393431035706592040680"
+ "43848484065292542884106550381079282660840705126574766636237650938379223350"
+ "073087806800887586256085275775217219429527000017403144");
+ const uint_type y(
+ "49144609407766890328547643707523663509662747376486271392344480900673178645"
+ "33198519112197059826509662943577383543858946941049753393431035706592040680"
+ "43848484065292542884106550381079282660840705126574766636237650938379223350"
+ "073087806800887586256085275775217219429527000017403144");
+ const uint_type z = x - y;
+ BOOST_CHECK_EQUAL(z, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(sub4, uint_type, UIntTypes)
+{
+ const uint_type x(
+ "21665907282124706187656074325458499695895652068822763794228458103499408841");
+ const uint_type y(
+ "173087806800887586256085275775299999999889978789789");
+ const uint_type z = x - y;
+ const uint_type w(
+ "21665907282124706187655901237651698808309395983546988494228458213520619052");
+ BOOST_CHECK_EQUAL(z, w);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(decrement1, uint_type, UIntTypes)
+{
+ uint_type x("4");
+ for (int i = 0; i < 4; ++i)
+ --x;
+ BOOST_CHECK_EQUAL(x, "0");
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(decrement2, uint_type, UIntTypes)
+{
+ uint_type x("130");
+ for (int i = 0; i < 10; ++i)
+ --x;
+ BOOST_CHECK_EQUAL(x, "120");
+}
+
Added: sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/to_integral.cpp
==============================================================================
--- (empty file)
+++ sandbox/mp_math/libs/mp_math/test/unbounded/unsigned/to_integral.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -0,0 +1,108 @@
+// Copyright Kevin Sopp 2008 - 2009.
+// Distributed under the Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/test/unit_test.hpp>
+#include "prerequisite.hpp"
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_char1, uint_type, UIntTypes)
+{
+ uint_type x("123");
+ const char z = x.template to_integral<char>();
+ BOOST_CHECK_EQUAL(z, 123);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_int1, uint_type, UIntTypes)
+{
+ uint_type x("1023");
+ const int z = x.template to_integral<int>();
+ BOOST_CHECK_EQUAL(z, 1023);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_char_max, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<char>::max());
+ const int z = x.template to_integral<char>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<char>::max());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_char_min, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<unsigned char>::min());
+ const unsigned char z = x.template to_integral<unsigned char>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned char>::min());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_char_max, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<unsigned char>::max());
+ const unsigned char z = x.template to_integral<unsigned char>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned char>::max());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_int_max, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<int>::max());
+ const int z = x.template to_integral<int>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<int>::max());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_int_min, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<unsigned int>::min());
+ const unsigned int z = x.template to_integral<unsigned int>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned int>::min());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_int_max, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<unsigned int>::max());
+ const unsigned int z = x.template to_integral<unsigned int>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned int>::max());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_int_max, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<long int>::max());
+ const long int z = x.template to_integral<long int>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<long int>::max());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_int_min, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<unsigned long int>::min());
+ const unsigned long int z = x.template to_integral<unsigned long int>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long int>::min());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_int_max, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<unsigned long int>::max());
+ const unsigned long int z = x.template to_integral<unsigned long int>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long int>::max());
+}
+
+#ifdef BOOST_HAS_LONG_LONG
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_long_long_int_max, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<long long int>::max());
+ const long long int z = x.template to_integral<long long int>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<long long int>::max());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_long_int_min, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<unsigned long long int>::min());
+ const unsigned long long int z = x.template to_integral<unsigned long long int>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long long int>::min());
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(to_unsigned_long_long_int_max, uint_type, UIntTypes)
+{
+ uint_type x(std::numeric_limits<unsigned long long int>::max());
+ const unsigned long long int z = x.template to_integral<unsigned long long int>();
+ BOOST_CHECK_EQUAL(z, std::numeric_limits<unsigned long long int>::max());
+}
+#endif
+
Modified: sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_gmp.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_gmp.cpp (original)
+++ sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_gmp.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -11,7 +11,7 @@
base(std::string("gmp"), gmp_version)
{
// init dst vector
- std::fill(dst.begin(), dst.end(), mpz_class());
+ std::fill(dst.begin(), dst.end(), mp_int_type());
}
benchmark_gmp::~benchmark_gmp()
@@ -19,17 +19,17 @@
void benchmark_gmp::clear_dst_vector()
{
- std::fill(dst.begin(), dst.end(), mpz_class());
+ std::fill(dst.begin(), dst.end(), mp_int_type());
}
void benchmark_gmp::construct_operand_1(const std::string& src, unsigned int i)
{
- src1[i] = mpz_class(src, 16);
+ src1[i].assign(src, std::ios::hex);
}
void benchmark_gmp::construct_operand_2(const std::string& src, unsigned int i)
{
- src2[i] = mpz_class(src, 16);
+ src2[i].assign(src, std::ios::hex);
}
#define bench_function_def(f) \
Modified: sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_gmp.hpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_gmp.hpp (original)
+++ sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_gmp.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,13 +6,22 @@
#ifndef BOOST_MP_MATH_TOOLS_BENCHMARK_GMP_HPP
#define BOOST_MP_MATH_TOOLS_BENCHMARK_GMP_HPP
-#include <gmpxx.h>
+#include <boost/mp_math/gmp.hpp>
+#include <boost/mp_math/integer.hpp>
#include "benchmark.hpp"
-struct benchmark_gmp : benchmark<mpz_class>
+struct benchmark_gmp
+:
+ benchmark<
+ boost::mp_math::integer<
+ boost::mp_math::gmp_integer<>
+ >
+ >
{
- typedef benchmark<mpz_class> base;
+ typedef benchmark<
+ boost::mp_math::integer<boost::mp_math::gmp_integer<> >
+ > base;
benchmark_gmp();
~benchmark_gmp();
@@ -38,36 +47,36 @@
{
base& b;
explicit ctor_dec_op(base& ba) : b(ba) {}
- void operator()(unsigned int i) const { b.dst[i] = mpz_class(b.dec_str[i], 10); }
+ void operator()(unsigned int i) const { b.dst[i].assign(b.dec_str[i], std::ios::dec); }
};
struct ctor_hex_op
{
base& b;
explicit ctor_hex_op(base& ba) : b(ba) {}
- void operator()(unsigned int i) const { b.dst[i] = mpz_class(b.hex_str[i], 16); }
+ void operator()(unsigned int i) const { b.dst[i].assign(b.hex_str[i], std::ios::hex); }
};
struct to_dec_op
{
base& b;
explicit to_dec_op(base& ba) : b(ba) {}
- void operator()(unsigned int i) const { b.str = b.src1[i].get_str(10); }
+ void operator()(unsigned int i) const { b.str = b.src1[i].to_string<std::string>(std::ios::dec); }
};
struct to_hex_op
{
base& b;
explicit to_hex_op(base& ba) : b(ba) {}
- void operator()(unsigned int i) const { b.str = b.src1[i].get_str(16); }
+ void operator()(unsigned int i) const { b.str = b.src1[i].to_string<std::string>(std::ios::hex); }
};
- #define bench_functor(name,op) \
- struct name##_op { \
- base& b; \
- explicit name##_op(base& ba) : b(ba) {} \
- void operator()(unsigned int i) const \
- { b.dst[i] = b.src1[i] op b.src2[i]; } \
+ #define bench_functor(name,op) \
+ struct name##_op { \
+ base& b; \
+ explicit name##_op(base& ba) : b(ba) {} \
+ void operator()(unsigned int i) const \
+ { b.dst[i] = b.src1[i] op b.src2[i]; } \
}
bench_functor(add,+);
@@ -91,12 +100,10 @@
struct modpow_op
{
base& b;
- explicit modpow_op(base& ba) : b (ba) {}
+ explicit modpow_op(base& ba) : b(ba) {}
void operator()(unsigned int i) const
{
- mpz_powm(
- b.dst[i].get_mpz_t(),
- b.src1[i].get_mpz_t(), b.src1[i].get_mpz_t(), b.src2[i].get_mpz_t());
+ b.dst[i] = boost::mp_math::modpow(b.src1[i], b.src1[i], b.src2[i]);
}
};
};
Modified: sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_mp_math.hpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_mp_math.hpp (original)
+++ sandbox/mp_math/libs/mp_math/tools/benchmark/benchmark_mp_math.hpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -6,13 +6,13 @@
#ifndef BOOST_MP_MATH_TOOLS_BENCHMARK_MP_MATH_HPP
#define BOOST_MP_MATH_TOOLS_BENCHMARK_MP_MATH_HPP
-#include <boost/mp_math/mp_int.hpp>
+#include <boost/mp_math/integer.hpp>
#include "benchmark.hpp"
-struct benchmark_mp_math : benchmark<boost::mp_math::mp_int<> >
+struct benchmark_mp_math : benchmark<boost::mp_math::integer<> >
{
- typedef benchmark<boost::mp_math::mp_int<> > base;
+ typedef benchmark<boost::mp_math::integer<> > base;
benchmark_mp_math();
virtual ~benchmark_mp_math();
@@ -62,12 +62,12 @@
void operator()(unsigned int i) const { b.str = b.src1[i].to_string<std::string>(std::ios::hex); }
};
- #define bench_functor(name,op) \
- struct name##_op { \
- base& b; \
- explicit name##_op(base& ba) : b(ba) {} \
- void operator()(unsigned int i) const \
- { b.dst[i] = b.src1[i]; b.dst[i] op##= b.src2[i]; } \
+ #define bench_functor(name,op) \
+ struct name##_op { \
+ base& b; \
+ explicit name##_op(base& ba) : b(ba) {} \
+ void operator()(unsigned int i) const \
+ { b.dst[i] = b.src1[i] op b.src2[i]; } \
}
bench_functor(add,+);
@@ -84,8 +84,7 @@
explicit square_op(base& ba) : b(ba) {}
void operator()(unsigned int i) const
{
- b.dst[i] = b.src1[i];
- b.dst[i].sqr();
+ b.dst[i] = b.src1[i] * b.src1[i];
}
};
Modified: sandbox/mp_math/libs/mp_math/tools/benchmark/jamfile.v2
==============================================================================
--- sandbox/mp_math/libs/mp_math/tools/benchmark/jamfile.v2 (original)
+++ sandbox/mp_math/libs/mp_math/tools/benchmark/jamfile.v2 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-# Copyright Kevin Sopp 2008.
+# Copyright Kevin Sopp 2008 - 2009.
# Distributed under the Boost Software License, Version 1.0.
# (See accompanying file LICENSE_1_0.txt or copy at
# http://www.boost.org/LICENSE_1_0.txt)
@@ -12,15 +12,12 @@
<include>../../../..
<include>.
<link>static
+ <cxxflags>-DNDEBUG
;
-
-
# GMP (GNU Multiple Precision Arithmetic, http://gmplib.org/) library needs to
# be installed for the benchmark to work
-# gmpxx is the library for the C++ bindings of gmp
-lib gmpxx : : <name>gmpxx ;
-lib gmp : : <name>gmp ;
+lib gmp : : <name>gmp ;
lib tommath : tommath.cpp : <variant>release ;
@@ -34,7 +31,7 @@
main.cpp
modes.cpp
tommath
- gmpxx gmp
+ gmp
boost_fs
boost_po
:
Modified: sandbox/mp_math/libs/mp_math/tools/benchmark/main.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/tools/benchmark/main.cpp (original)
+++ sandbox/mp_math/libs/mp_math/tools/benchmark/main.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -18,7 +18,7 @@
#include "modes.hpp"
-const char* version = "0.4";
+const char* version = "0.5";
struct config
@@ -97,9 +97,9 @@
{
const double mode1_time =
sample_time * num_input_samples * ops.size() * libs.size();
-
+
const double mode2_time = 0.05 * ops.size() * libs.size();
-
+
double sum = 0.0;
if (mode == 0 || mode == 1)
sum += mode1_time;
@@ -115,7 +115,7 @@
const int vec_length = 10;
long vec[vec_length];
double st = 0.01;
-
+
int verified = 0;
for (;;)
{
@@ -140,7 +140,7 @@
average_deviation /= vec_length;
const double error = (double)average_deviation / (double)average_value;
-
+
std::cout << "sample-time = " << st
<< ", current error = " << error;
if (verified)
@@ -159,7 +159,7 @@
if (error / max_error > 2.0)
st += 0.01;
else
- st += 0.002;
+ st += 0.002;
if (st >= 0.05)
return 0.05;
}
@@ -171,7 +171,7 @@
int main(int argc, char** argv)
{
typedef config::string_list string_list;
-
+
std::ios::sync_with_stdio(false);
try
@@ -204,16 +204,16 @@
"1 = run benchmark meant to test small numbers\n"
"2 = run benchmark meant to test large numbers")
- ("ops",
+ ("ops",
value(&c.ops_string),
"the operations to benchmark")
-
+
("libs",
value(&c.libs_string),
"the libraries to benchmark")
-
+
("list-ops", "lists available operations")
-
+
("list-libs", "lists available libraries")
("x",
@@ -235,16 +235,16 @@
value(&c.max_error)->default_value(0.1, "0.1"),
"this value is used to calculate the sample time, you should not "
"need to modify it")
-
+
("sample-time,s",
value(&c.sample_time)->default_value(0.035, "0.035"),
"directly specify the sample time in seconds, it is used to reduce "
"the error of the measurements")
-
+
("range-beg,a",
value(&c.range.first)->default_value(32),
"range of numbers, measured in bits")
-
+
("range-end,b",
value(&c.range.second)->default_value(3072),
"range of numbers, measured in bits")
@@ -327,7 +327,7 @@
const std::time_t time = std::time(0);
char timestring[32];
std::strftime(timestring, 32, "%Y %m %d %H:%M", std::localtime(&time));
-
+
boost::filesystem::create_directory(timestring);
boost::filesystem::current_path(timestring);
@@ -348,7 +348,7 @@
std::cout << "calibrating sample time..." << std::endl;
c.sample_time = calibrate_sample_time(c.max_error);
}
-
+
std::cout << "Sample time is: " << c.sample_time << " sec" << std::endl;
const unsigned long runtime =
Modified: sandbox/mp_math/libs/mp_math/tools/benchmark/modes.cpp
==============================================================================
--- sandbox/mp_math/libs/mp_math/tools/benchmark/modes.cpp (original)
+++ sandbox/mp_math/libs/mp_math/tools/benchmark/modes.cpp 2009-06-22 14:57:19 EDT (Mon, 22 Jun 2009)
@@ -1,4 +1,4 @@
-// Copyright Kevin Sopp 2008.
+// Copyright Kevin Sopp 2008 - 2009.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
@@ -10,27 +10,26 @@
#include <sstream>
#include <stdexcept>
#include <boost/random.hpp>
-#include <boost/mp_math/mp_int.hpp>
+#include <boost/mp_math/integer.hpp>
#include "modes.hpp"
-std::string create_random_hex_string(unsigned size_in_bits)
+std::string create_random_hex_string(unsigned size_in_digits)
{
std::string s;
- s.reserve(size_in_bits/4);
+ s.resize(size_in_digits);
boost::mt19937 r;
boost::uniform_smallint<char> u(0,15);
boost::variate_generator<boost::mt19937&, boost::uniform_smallint<char> > vg(r, u);
- // one hex digit occupies 4 bits
- for (unsigned i = 0; i < (size_in_bits+3)/4; ++i)
+ for (unsigned i = 0; i < size_in_digits; ++i)
{
char tmp = vg();
if (tmp < 10)
tmp = '0' + tmp;
else
tmp = 'a' + (tmp-10);
- s.push_back(tmp);
+ s[i] = tmp;
}
return s;
}
@@ -38,15 +37,15 @@
std::string create_random_dec_string(unsigned size_in_digits)
{
std::string s;
- s.reserve(size_in_digits);
+ s.resize(size_in_digits);
boost::mt19937 r;
boost::uniform_smallint<char> u(0,9);
boost::variate_generator<boost::mt19937&, boost::uniform_smallint<char> > vg(r, u);
-
+
for (unsigned i = 0; i < size_in_digits; ++i)
- s.push_back('0' + vg());
-
+ s[i]= '0' + vg();
+
return s;
}
@@ -63,11 +62,11 @@
file << x_values.at(i) << "\t";
std::list<column>::const_iterator it = cols.begin();
-
+
while (it != cols.end())
{
file << it->data.at(i);
-
+
if (++it != cols.end())
file << "\t";
}
@@ -97,7 +96,7 @@
"set term png size " << x << "," << y << "\n"
"set output \"" << modeprefix << df->op << ".png\"\n";
file << "plot \\\n";
-
+
std::list<data_file::column>::const_iterator c = df->cols.begin();
int count = 2;
while (c != df->cols.end())
@@ -132,11 +131,11 @@
if (!iv_file.is_open())
throw std::runtime_error("couldn't open file mode1_input_vecs.dat");
- const unsigned long min_size =
+ const unsigned long min_size =
std::min(get_operand1_size(0),
get_operand2_size(0));
-
- const unsigned long max_size =
+
+ const unsigned long max_size =
std::max(get_operand1_size(num_input_samples_),
get_operand2_size(num_input_samples_));
@@ -144,7 +143,7 @@
<< " operand indices for numbers between "
<< min_size << " and " << max_size << " bits."
<< std::endl;
-
+
const std::string hex_s = create_random_hex_string(max_size);
std::cout << "creating input vectors";
@@ -161,19 +160,19 @@
{
const unsigned long size1 = get_operand1_size(i);
const unsigned long size2 = get_operand2_size(i);
-
+
// divide by 4 because hex_s has max/4 hex digits
vec1.push_back(hex_s.substr(0, size1/4));
vec2.push_back(hex_s.substr(0, size2/4));
-
+
// output the input sizes for a graph here
iv_file << size1 << "\t" << size2 << "\n";
-
+
if (((i+1) % stepsize) == 0)
{
std::cout << ".";
std::cout.flush();
- }
+ }
}
std::cout << std::endl;
@@ -184,9 +183,9 @@
for (unsigned int i = 0; i < num_input_samples_; ++i)
{
hex_str_vec.push_back(hex_s.substr(0, (get_operand1_size(i)+3)/4));
- // use mp_int to ensure decimal string results in the same number of bits as
- // the hex string
- boost::mp_math::mp_int<> tmp(hex_str_vec.back(), std::ios::hex);
+ // use integer to ensure decimal string results in the same number of bits
+ // as the hex string
+ boost::mp_math::integer<> tmp(hex_str_vec.back(), std::ios::hex);
dec_str_vec.push_back(tmp.to_string<std::string>());
}
}
@@ -194,7 +193,7 @@
void mode1::create_data_files(std::list<benchmark_result>& results)
{
std::list<benchmark_result>::const_iterator r = results.begin();
-
+
// expects result list to be sorted by op name
while (r != results.end())
{
@@ -210,7 +209,7 @@
c.libname = r->libname;
c.data = r->ops;
-
+
// scale from ops per sample_time to ops per millisecond
for (std::vector<double>::iterator it = c.data.begin();
it != c.data.end(); ++it)
@@ -269,13 +268,13 @@
void mode1::write_results(unsigned int x, unsigned int y) const
{
write_input_vector_plotfile(x, y);
-
+
std::cout << "writing data files..." << std::endl;
write_data_files("mode1_", dfiles_);
-
+
std::cout << "writing gnuplot scripts..." << std::endl;
write_gnuplot_scripts(x, y, "mode1_", "operand index", "ops/msec", dfiles_);
-
+
write_summary_file();
}
@@ -293,7 +292,7 @@
// modified sine curve
const double pi = 3.141592654;
const double sample_num_to_rad = num_input_samples_ / (4.5 * pi);
-
+
// scale sample_number into the range [0...4.5*PI]
const double x = sample_number / sample_num_to_rad;
@@ -309,7 +308,7 @@
// we want to scale the curve at the point p1 to be above y_top at x = 2.5*pi
const double p1 = 2.5 * pi;
-
+
// here we use a function of the form y = -ax^2 + b to scale the curve at (and
// around) p1
const double a = 1.0/(p1 * p1);
@@ -319,7 +318,7 @@
// stop scaling once we're past p1 and 'adjust' falls below 1.0
if (x > p1 && adjust < 1.0)
adjust = 1.0;
-
+
return static_cast<unsigned long>(y_bottom * adjust * y_val + y_bottom);
}
@@ -331,19 +330,21 @@
pow_step_(stepsize)
{
const unsigned long max_size = 1UL << pow_to;
-
+
+ // one hex digit occupies 4 bits
const std::string hex_s = create_random_hex_string((max_size+3)/4);
- for (; pow_from < pow_to; pow_from += stepsize)
+ for (; pow_from <= pow_to; pow_from += stepsize)
{
const unsigned long size = 1UL << pow_from;
-
+
vec1.push_back(hex_s.substr(0, size/4));
-
+
hex_str_vec.push_back(hex_s.substr(0, (size+3)/4));
-
- boost::mp_math::mp_int<> tmp(hex_str_vec.back(), std::ios::hex);
- dec_str_vec.push_back(tmp.to_string<std::string>());
+
+ // FIXME: this is unusably slow
+ //boost::mp_math::mp_int<> tmp(hex_str_vec.back(), std::ios::hex);
+ //dec_str_vec.push_back(tmp.to_string<std::string>());
}
vec2 = vec1;
@@ -353,13 +354,13 @@
void mode2::create_data_files(std::list<benchmark_result>& results)
{
std::list<benchmark_result>::const_iterator r = results.begin();
-
+
// expects result list to be sorted by op name
while (r != results.end())
{
data_file d;
-
- for (unsigned i = pow_from_; i < pow_to_; i += pow_step_)
+
+ for (unsigned i = pow_from_; i <= pow_to_; i += pow_step_)
d.x_values.push_back(i);
std::list<benchmark_result>::const_iterator cur = r;
@@ -369,7 +370,7 @@
c.libname = r->libname;
c.data = r->ops;
-
+
// scale from ops per sample_time to seconds per op
for (std::vector<double>::iterator it = c.data.begin();
it != c.data.end(); ++it)
@@ -378,7 +379,7 @@
*it = 1.0 / *it;
}
- c.sum = std::accumulate(r->ops.begin(), r->ops.end(), 0.);
+ c.sum = std::accumulate(c.data.begin(), c.data.end(), 0.);
d.cols.push_back(c);
++r;
}
@@ -416,7 +417,7 @@
{
std::cout << "writing data files..." << std::endl;
write_data_files("mode2_", dfiles_);
-
+
std::cout << "writing gnuplot scripts..." << std::endl;
write_gnuplot_scripts(x, y, "mode2_", "operand size (2^x)", "seconds/op",
dfiles_);
@@ -424,3 +425,6 @@
write_summary_file();
}
+// TODO add mode 3 where user can specify the bits per operand directly
+// ./benchmark -m3 --op1_bits=23456789 --op2_bits=1234567
+