Subject: [Boost-commit] svn:boost r82639 - trunk/libs/math/example
From: pbristow_at_[hidden]
Date: 2013-01-27 13:04:33
Author: pbristow
Date: 2013-01-27 13:04:33 EST (Sun, 27 Jan 2013)
New Revision: 82639
URL: http://svn.boost.org/trac/boost/changeset/82639
Log:
INitial commit of Chris's bessel zero example - but with a simple integral order test added (and long warning).
Added:
trunk/libs/math/example/bessel_zeros_example.cpp (contents, props changed)
Added: trunk/libs/math/example/bessel_zeros_example.cpp
==============================================================================
--- (empty file)
+++ trunk/libs/math/example/bessel_zeros_example.cpp 2013-01-27 13:04:33 EST (Sun, 27 Jan 2013)
@@ -0,0 +1,176 @@
+// Copyright Christopher Kormanyos 2013.
+// 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).
+
+#ifdef _MSC_VER
+# pragma warning (disable : 4512) // assignment operator could not be generated.
+# pragma warning (disable : 4996) // assignment operator could not be generated.
+#endif
+
+#include <iostream>
+#include <limits>
+#include <vector>
+#include <algorithm>
+#include <iomanip>
+#include <iterator>
+
+#include <boost/math/special_functions/bessel.hpp>
+
+/*
+using
+
+template <class output_iterator, class T>
+inline void cyl_bessel_j_zero(
+ output_iterator out_it,
+ T v,
+ unsigned number_of_zeros,
+ unsigned start_index)
+*/
+
+#include <boost/multiprecision/cpp_dec_float.hpp>
+
+namespace
+{
+// typedef boost::multiprecision::cpp_dec_float_50 float_type;
+ // typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<50>, boost::multiprecision::et_off> float_type;
+ typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<50>, boost::multiprecision::et_on> float_type;
+// typedef float float_type;
+}
+
+int main()
+{
+ // Generate three double roots of Jv for integral order 2.
+
+ std::vector<double> roots_3(3U);
+ boost::math::cyl_bessel_j_zero(roots_3.begin(), 2, 3U, 1U);
+
+ std::cout << "1st root = " << roots_3[0] << std::endl;
+ std::cout << "2nd root = " << roots_3[1] << std::endl;
+ std::cout << "3rd root = " << roots_3[2] << std::endl;
+
+
+
+ // Generate 20 roots of Jv for order v=71/19.
+ std::vector<float_type> roots(20U);
+
+ boost::math::cyl_bessel_j_zero(roots.begin(), float_type(71) / 19, unsigned(roots.size()), 1U);
+
+ // Set the precision of the output stream.
+ std::cout.precision(std::numeric_limits<float_type>::digits10);
+
+ // Print the roots to the output stream.
+ std::copy(roots.begin(),
+ roots.end(),
+ std::ostream_iterator<float_type>(std::cout, "\n"));
+}
+
+/*
+Mathematica: Table[N[BesselJZero[71/19, n], 50], {n, 1, 20, 1}]
+
+7.2731751938316489503185694262290765588963196701623, \
+10.724858308883141732536172745851416647110749599085, \
+14.018504599452388106120459558042660282427471931581, \
+17.252498459170417182162487166549777349195903838610, \
+20.456678874044517595180234083894285885460502077814, \
+23.643630897142345224945514227147319599854051725040, \
+26.819671140255087745421311470965019261522390519297, \
+29.988343117423674742679141796661432043878868194142, \
+33.151796897690520871250862469973445265444791966114, \
+36.311416000216207415724354035039386081316520184200, \
+39.468132467505236587945197808083337887765967032029, \
+42.622597801391236474855034831297954018844433480227, \
+45.775281464536847753390206207806726581495950012439, \
+48.926530489173566198367766817478553992471739894799, \
+52.076607045343002794279746041878924876873478063472, \
+55.225712944912571393594224327817265689059002890192, \
+58.374006101538886436775188150439025201735151418932, \
+61.521611873000965273726742659353136266390944103571, \
+64.668631053790930368346482214873660794565966287160, \
+67.815145619696290925556791375555951165111460585458
+
+7.2731751938316489503185694262290765588963196701623
+10.724858308883141732536172745851416647110749599085
+14.018504599452388106120459558042660282427471931581
+17.25249845917041718216248716654977734919590383861
+20.456678874044517595180234083894285885460502077814
+23.64363089714234522494551422714731959985405172504
+26.819671140255087745421311470965019261522390519297
+29.988343117423674742679141796661432043878868194142
+33.151796897690520871250862469973445265444791966114
+36.3114160002162074157243540350393860813165201842
+39.468132467505236587945197808083337887765967032029
+42.622597801391236474855034831297954018844433480227
+45.775281464536847753390206207806726581495950012439
+48.926530489173566198367766817478553992471739894799
+52.076607045343002794279746041878924876873478063472
+55.225712944912571393594224327817265689059002890192
+58.374006101538886436775188150439025201735151418932
+61.521611873000965273726742659353136266390944103571
+64.66863105379093036834648221487366079456596628716
+67.815145619696290925556791375555951165111460585458
+*/
+
+
+/*
+
+------ Rebuild All started: Project: bessel_zeros_example, Configuration: Debug Win32 ------
+Build started 27-Jan-2013 17:55:44.
+_PrepareForClean:
+ Deleting file "Debug\bessel_zeros_example.lastbuildstate".
+InitializeBuildStatus:
+ Creating "Debug\bessel_zeros_example.unsuccessfulbuild" because "AlwaysCreate" was specified.
+ClCompile:
+ bessel_zeros_example.cpp
+I:\boost-trunk\boost/math/special_functions/bessel.hpp(418): warning C4244: '=' : conversion from 'value_type' to 'double', possible loss of data
+ I:\boost-trunk\boost/math/special_functions/bessel.hpp(610) : see reference to function template instantiation 'void boost::math::detail::cyl_bessel_j_zero_imp<output_iterator,value_type,boost::math::policies::policy<boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy>>(output_iterator,T,unsigned int,unsigned int,const Policy &)' being compiled
+ with
+ [
+ output_iterator=std::_Vector_iterator<std::_Vector_val<double,std::allocator<double>>>,
+ T=value_type,
+ Policy=boost::math::policies::policy<boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy,boost::math::policies::default_policy>
+ ]
+ I:\boost-trunk\libs\math\example\bessel_zeros_example.cpp(46) : see reference to function template instantiation 'void boost::math::cyl_bessel_j_zero<std::_Vector_iterator<_Myvec>,int>(output_iterator,T,unsigned int,unsigned int)' being compiled
+ with
+ [
+ _Myvec=std::_Vector_val<double,std::allocator<double>>,
+ output_iterator=std::_Vector_iterator<std::_Vector_val<double,std::allocator<double>>>,
+ T=int
+ ]
+Manifest:
+ Deleting file "Debug\bessel_zeros_example.exe.embed.manifest".
+LinkEmbedManifest:
+ bessel_zeros_example.vcxproj -> J:\Cpp\big_number\Debug\bessel_zeros_example.exe
+CustomBuildStep:
+ Description: Autorun "J:\Cpp\big_number\Debug\bessel_zeros_example.exe"
+ 1st root = 5.13562
+ 2nd root = 8.41724
+ 3rd root = 11.6198
+ 7.2731751938316489503185694262290765588963196701623
+ 10.724858308883141732536172745851416647110749599085
+ 14.018504599452388106120459558042660282427471931581
+ 17.25249845917041718216248716654977734919590383861
+ 20.456678874044517595180234083894285885460502077814
+ 23.64363089714234522494551422714731959985405172504
+ 26.819671140255087745421311470965019261522390519297
+ 29.988343117423674742679141796661432043878868194142
+ 33.151796897690520871250862469973445265444791966114
+ 36.3114160002162074157243540350393860813165201842
+ 39.468132467505236587945197808083337887765967032029
+ 42.622597801391236474855034831297954018844433480227
+ 45.775281464536847753390206207806726581495950012439
+ 48.926530489173566198367766817478553992471739894799
+ 52.076607045343002794279746041878924876873478063472
+ 55.225712944912571393594224327817265689059002890192
+ 58.374006101538886436775188150439025201735151418932
+ 61.521611873000965273726742659353136266390944103571
+ 64.66863105379093036834648221487366079456596628716
+ 67.815145619696290925556791375555951165111460585458
+FinalizeBuildStatus:
+ Deleting file "Debug\bessel_zeros_example.unsuccessfulbuild".
+ Touching "Debug\bessel_zeros_example.lastbuildstate".
+
+Build succeeded.
+
+Time Elapsed 00:00:22.68
+*/