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Subject: [Boost-commit] svn:boost r80485 - trunk/libs/numeric/ublas/test
From: guwi17_at_[hidden]
Date: 2012-09-10 17:08:51
Author: guwi17
Date: 2012-09-10 17:08:50 EDT (Mon, 10 Sep 2012)
New Revision: 80485
URL: http://svn.boost.org/trac/boost/changeset/80485
Log:
* libs/numeric/ublas/test/utils.hpp : see #7296, improved macros
* libs/numeric/ublas/test/Jamfile.v2 : add new test for utils.hpp
Text files modified: 
   trunk/libs/numeric/ublas/test/Jamfile.v2 |     2                                         
   trunk/libs/numeric/ublas/test/utils.hpp  |   254 ++++++++++++++++++++++++++++++++------- 
   2 files changed, 208 insertions(+), 48 deletions(-)
Modified: trunk/libs/numeric/ublas/test/Jamfile.v2
==============================================================================
--- trunk/libs/numeric/ublas/test/Jamfile.v2	(original)
+++ trunk/libs/numeric/ublas/test/Jamfile.v2	2012-09-10 17:08:50 EDT (Mon, 10 Sep 2012)
@@ -158,6 +158,8 @@
           ]
           [ run test_triangular.cpp
           ]
+	  [ run test_ticket7296.cpp
+	  ]
       [ run test_inplace_solve.cpp
         : 
         : 
Modified: trunk/libs/numeric/ublas/test/utils.hpp
==============================================================================
--- trunk/libs/numeric/ublas/test/utils.hpp	(original)
+++ trunk/libs/numeric/ublas/test/utils.hpp	2012-09-10 17:08:50 EDT (Mon, 10 Sep 2012)
@@ -1,7 +1,43 @@
 /**
- *  \file util.hpp
+ * \file util.hpp
  *
- *  \brief Utility macros/functions for testing and debugging purpose.
+ * \brief Utility macros/functions for testing and debugging purpose.
+ *
+ * Basic usage:
+ * <pre>
+ * BOOST_UBLAS_TEST_DEF( test_case_1 )
+ * {
+ *   // do your test stuff
+ * }
+ *
+ * BOOST_UBLAS_TEST_DEF( test_case_2 )
+ * {
+ *   // do your test stuff
+ * }
+ *
+ * // ...
+ *
+ * BOOST_UBLAS_TEST_DEF( test_case_n )
+ * {
+ *   // do your test stuff
+ * }
+ *
+ * int main()
+ * {
+ *   BOOST_UBLAS_TEST_SUITE( "My Test Suite" ); // optional
+ *
+ *   BOOST_UBLAS_TEST_BEGIN();
+ *     BOOST_UBLAS_TEST_DO( test_case_1 );
+ *     BOOST_UBLAS_TEST_DO( test_case_2 );
+ *     // ...
+ *     BOOST_UBLAS_TEST_DO( test_case_n );
+ *   BOOST_UBLAS_TEST_END();
+ * }
+ * </pre>
+ * Inside each <em>test_case_<code>k</code></em> you can use the various
+ * \c BOOST_UBLAS_TEST_CHECK* macros.
+ *
+ * <hr/>
  *
  *  Copyright (c) 2009-2012, Marco Guazzone
  *
@@ -16,42 +52,116 @@
 #define BOOST_NUMERIC_UBLAS_TEST_UTILS_HPP
 
 
+#include <boost/numeric/ublas/detail/config.hpp>
+#include <boost/numeric/ublas/traits.hpp>
 #include <cmath>
+#include <complex>
+#include <cstddef>
 #include <iostream>
 #include <limits>
 #include <stdexcept>
 
-
 namespace boost { namespace numeric { namespace ublas { namespace test { namespace detail { namespace /*<unnamed>*/ {
 
+/// Check if the given complex number is a NaN.
+template <typename T>
+BOOST_UBLAS_INLINE
+bool isnan(::std::complex<T> const& z)
+{
+	// According to IEEE, NaN is different even by itself
+	return (z != z) || ::std::isnan(z.real()) || ::std::isnan(z.imag());
+}
+
+/// Check if two (real) numbers are close each other (wrt a given tolerance).
 template <typename T1, typename T2, typename T3>
-inline
+BOOST_UBLAS_INLINE
 bool close_to(T1 x, T2 y, T3 tol)
 {
+	typedef typename promote_traits<typename promote_traits<T1,T2>::promote_type,
+									T3>::promote_type real_type;
+
     if (::std::isnan(x) || ::std::isnan(y))
     {
-        // According to IEEE, NaN are different event by itself
+        // According to IEEE, NaN is different even by itself
+        return false;
+    }
+    return ::std::abs(x-y) <= (::std::max(static_cast<real_type>(::std::abs(x)), static_cast<real_type>(::std::abs(y)))*tol);
+}
+
+/// Check if two complex numbers are close each other (wrt a given tolerance).
+template <typename T1, typename T2, typename T3>
+BOOST_UBLAS_INLINE
+bool close_to(::std::complex<T1> const& x, ::std::complex<T2> const& y, T3 tol)
+{
+	typedef typename promote_traits<typename promote_traits<T1,T2>::promote_type,
+									T3>::promote_type real_type;
+
+    if (isnan(x) || isnan(y))
+    {
+        // According to IEEE, NaN is different even by itself
+        return false;
+    }
+	::std::complex<real_type> xx(x);
+	::std::complex<real_type> yy(y);
+    return ::std::abs(xx-yy) <= (::std::max(::std::abs(xx), ::std::abs(yy))*tol);
+}
+
+/// Check if two (real) numbers are close each other (wrt a given tolerance).
+template <typename T1, typename T2, typename T3>
+BOOST_UBLAS_INLINE
+bool rel_close_to(T1 x, T2 y, T3 tol)
+{
+	typedef typename promote_traits<typename promote_traits<T1,T2>::promote_type,
+									T3>::promote_type real_type;
+
+    if (::std::isnan(x) || ::std::isnan(y))
+    {
+        // According to IEEE, NaN is different even by itself
+        return false;
+    }
+    return ::std::abs(x-y)/::std::abs(y) <= tol;
+}
+
+/// Check if two complex numbers are close each other (wrt a given tolerance).
+template <typename T1, typename T2, typename T3>
+BOOST_UBLAS_INLINE
+bool rel_close_to(::std::complex<T1> const& x, ::std::complex<T2> const& y, T3 tol)
+{
+	typedef typename promote_traits<typename promote_traits<T1,T2>::promote_type,
+									T3>::promote_type real_type;
+
+    if (isnan(x) || isnan(y))
+    {
+        // According to IEEE, NaN is different even by itself
         return false;
     }
-    return ::std::abs(x-y) <= (::std::max(::std::abs(x), ::std::abs(y))*tol);
+	::std::complex<real_type> xx(x);
+	::std::complex<real_type> yy(y);
+    return ::std::abs(xx-yy)/::std::abs(yy) <= tol;
 }
 
 }}}}}} // Namespace boost::numeric::ublas::test::detail::<unnamed>
 
 
-/// Expand its argument.
+/// Expand its argument \a x.
 #define BOOST_UBLAS_TEST_EXPAND_(x) x
 
 
-/// Transform its argument into a string.
+/// Expand its argument \a x inside parenthesis.
+#define BOOST_UBLAS_TEST_EXPANDP_(x) (x)
+
+
+/// Transform its argument \a x into a string.
 #define BOOST_UBLAS_TEST_STRINGIFY_(x) #x
 
 
-/// Concatenate its two \e string arguments.
+/// Concatenate its two \e string arguments \a x and \a y.
 #define BOOST_UBLAS_TEST_JOIN_(x,y) x ## y
 
 
 /// Output the message \a x if in debug-mode; otherwise output nothing.
+/// Note: we don't use macro expansion inside parenthesis to let \a m be an
+///  expression of the form <code>a << b</code>.
 #ifndef NDEBUG
 # 	define BOOST_UBLAS_DEBUG_TRACE(x) ::std::cerr << "[Debug>> " << BOOST_UBLAS_TEST_EXPAND_(x) << ::std::endl
 #else
@@ -59,20 +169,20 @@
 #endif // NDEBUG
 
 
-/// Define the name of the entire test suite.
-#define DCS_TEST_SUITE(m) ::std::cerr << "--- Test Suite: " << m << " ---" << ::std::endl;
+/// Define the name \a m of the entire test suite.
+#define BOOST_UBLAS_TEST_SUITE(m) ::std::cerr << "--- Test Suite: " << BOOST_UBLAS_TEST_EXPAND_(m) << " ---" << ::std::endl;
 
 
 /// Define the beginning of a test suite.
 #define BOOST_UBLAS_TEST_BEGIN() 	/* [BOOST_UBLAS_TEST_BEGIN] */ \
                                                                         { \
                                                                                 /* Begin of Test Suite */ \
-										unsigned int test_fails__(0) \
+										::std::size_t test_fails__(0) \
                                                                         /* [/BOOST_UBLAS_TEST_BEGIN] */
 
 
 /// Define a test case \a x inside the current test suite.
-#define BOOST_UBLAS_TEST_DEF(x) void BOOST_UBLAS_TEST_EXPAND_(x)(unsigned int& test_fails__)
+#define BOOST_UBLAS_TEST_DEF(x) static void BOOST_UBLAS_TEST_EXPAND_(x)(::std::size_t& test_fails__)
 
 
 /// Call the test case \a x.
@@ -107,9 +217,15 @@
                                                                 /* [/BOOST_UBLAS_TEST_END] */
 
 
+/// Output the message \a m.
+/// Note: we don't use macro expansion inside parenthesis to let \a m be an
+///  expression of the form <code>a << b</code>.
+#define BOOST_UBLAS_TEST_TRACE(m) ::std::cerr << "[Info>> " << BOOST_UBLAS_TEST_EXPAND_(m) << ::std::endl
+
+
 /// Check the truth of assertion \a x.
 #define BOOST_UBLAS_TEST_CHECK(x)	/* [BOOST_UBLAS_TEST_CHECK] */ \
-									if (!(x)) \
+									if (!BOOST_UBLAS_TEST_EXPANDP_(x)) \
                                                                         { \
                                                                                 BOOST_UBLAS_TEST_ERROR( "Failed assertion: " << BOOST_UBLAS_TEST_STRINGIFY_(x) ); \
                                                                                 ++test_fails__; \
@@ -119,7 +235,7 @@
 
 /// Check for the equality of \a x against \a y.
 #define BOOST_UBLAS_TEST_CHECK_EQ(x,y)	/* [BOOST_UBLAS_TEST_CHECK_EQUAL] */ \
-										if (!(BOOST_UBLAS_TEST_PARAM_EXPAND_(x) == BOOST_UBLAS_TEST_PARAM_EXPAND_(y))) \
+										if (!(BOOST_UBLAS_TEST_EXPANDP_(x) == BOOST_UBLAS_TEST_EXPANDP_(y))) \
                                                                                 { \
                                                                                         BOOST_UBLAS_TEST_ERROR( "Failed assertion: (" << BOOST_UBLAS_TEST_STRINGIFY_(x) << " == " << BOOST_UBLAS_TEST_STRINGIFY_(y) << ")" ); \
                                                                                         ++test_fails__; \
@@ -131,40 +247,44 @@
 #define BOOST_UBLAS_TEST_CHECK_EQUAL(x,y) BOOST_UBLAS_TEST_CHECK_EQ(x,y)
 
 
-/// Check that \a x and \a y are close with respect to a given precision.
-#define BOOST_UBLAS_TEST_CHECK_CLOSE(x,y,e)	/* [BOOST_UBLAS_TEST_CHECK_PRECISION] */ \
+/// Check that \a x and \a y are close with respect to a given precision \a e.
+#define BOOST_UBLAS_TEST_CHECK_CLOSE(x,y,e)	/* [BOOST_UBLAS_TEST_CHECK_CLOSE] */ \
                                                                                         if (!::boost::numeric::ublas::test::detail::close_to(BOOST_UBLAS_TEST_EXPAND_(x), BOOST_UBLAS_TEST_EXPAND_(y), BOOST_UBLAS_TEST_EXPAND_(e))) \
                                                                                         { \
-												BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs(" << BOOST_UBLAS_TEST_STRINGIFY_(x) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e) << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x) << " == " << BOOST_UBLAS_TEST_EXPAND_(x) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y) << " == " << BOOST_UBLAS_TEST_EXPAND_(y) << " and " << BOOST_UBLAS_TEST_STRINGIFY_(e) << " == " << BOOST_UBLAS_TEST_EXPAND_(e) << "]" ); \
+												BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs(" << BOOST_UBLAS_TEST_STRINGIFY_(x) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e) << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x) << " == " << BOOST_UBLAS_TEST_EXPANDP_(x) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y) << " == " << BOOST_UBLAS_TEST_EXPANDP_(y) << " and " << BOOST_UBLAS_TEST_STRINGIFY_(e) << " == " << BOOST_UBLAS_TEST_EXPANDP_(e) << "]" ); \
                                                                                                 ++test_fails__; \
                                                                                         } \
-											/* [/BOOST_UBLAS_TEST_CHECK_PRECISION] */
+											/* [/BOOST_UBLAS_TEST_CHECK_CLOSE] */
 
 
 /// Alias for macro \c BOOST_UBLAS_TEST_CHECK_CLOSE (for backward compatibility),
 #define BOOST_UBLAS_TEST_CHECK_PRECISION(x,y,e) BOOST_UBLAS_TEST_CHECK_CLOSE(x,y,e)
 
 
-/// Check that \a x is close to \a y with respect to a given relative precision.
-#define BOOST_UBLAS_TEST_CHECK_REL_PRECISION(x,y,e)	/* [BOOST_UBLAS_TEST_CHECK_REL_PRECISION] */ \
-													if (!::boost::numeric::ublas::test::detail::close_to(BOOST_UBLAS_TEST_EXPAND_(x)/BOOST_UBLAS_TEST_EXPAND_(y), 1.0, BOOST_UBLAS_TEST_EXPAND_(e))) \
-													{ \
-														BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs((" << BOOST_UBLAS_TEST_STRINGIFY_(x) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y) << ")/" << BOOST_UBLAS_TEST_STRINGIFY_(y) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e)  << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x) << " == " << BOOST_UBLAS_TEST_EXPAND_(x) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y) << " == " << BOOST_UBLAS_TEST_EXPAND_(y) << " and " << BOOST_UBLAS_TEST_STRINGIFY_(e) << " == " << BOOST_UBLAS_TEST_EXPAND_(e) << "]" ); \
-														++test_fails__; \
-													} \
-													/* [/BOOST_UBLAS_TEST_CHECK_REL_PRECISION] */
+/// Check that \a x is close to \a y with respect to a given relative precision \a e.
+#define BOOST_UBLAS_TEST_CHECK_REL_CLOSE(x,y,e)	/* [BOOST_UBLAS_TEST_CHECK_REL_CLOSE] */ \
+												if (!::boost::numeric::ublas::test::detail::rel_close_to(BOOST_UBLAS_TEST_EXPAND_(x), BOOST_UBLAS_TEST_EXPAND_(y), BOOST_UBLAS_TEST_EXPAND_(e))) \
+												{ \
+													BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs((" << BOOST_UBLAS_TEST_STRINGIFY_(x) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y) << ")/" << BOOST_UBLAS_TEST_STRINGIFY_(y) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e)  << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x) << " == " << BOOST_UBLAS_TEST_EXPANDP_(x) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y) << " == " << BOOST_UBLAS_TEST_EXPANDP_(y) << " and " << BOOST_UBLAS_TEST_STRINGIFY_(e) << " == " << BOOST_UBLAS_TEST_EXPANDP_(e) << "]" ); \
+													++test_fails__; \
+												} \
+												/* [/BOOST_UBLAS_TEST_CHECK_REL_CLOSE] */
+
+
+/// Alias for macro \c BOOST_UBLAS_TEST_CHECK_REL_CLOSE (for backward compatibility),
+#define BOOST_UBLAS_TEST_CHECK_REL_PRECISION(x,y,e) BOOST_UBLAS_TEST_CHECK_REL_CLOSE(x,y,e)
 
 
 /// Check that elements of \a x and \a y are equal.
 #define BOOST_UBLAS_TEST_CHECK_VECTOR_EQ(x,y,n)	/* [BOOST_UBLAS_TEST_CHECK_VECTOR_EQ] */ \
-												if (BOOST_UBLAS_TEST_EXPAND_(n) > 0) \
+												if (BOOST_UBLAS_TEST_EXPANDP_(n) > 0) \
                                                                                                 { \
-													unsigned long n__ = BOOST_UBLAS_TEST_EXPAND_(n); \
-													for (unsigned long i__ = n__; i__ > 0; --i__) \
+													::std::size_t n__ = BOOST_UBLAS_TEST_EXPAND_(n); \
+													for (::std::size_t i__ = n__; i__ > 0; --i__) \
                                                                                                         { \
-														if (!(BOOST_UBLAS_TEST_EXPAND_(x)[n__-i__]==BOOST_UBLAS_TEST_EXPAND_(y)[n__-i__])) \
+														if (!(BOOST_UBLAS_TEST_EXPANDP_(x)[n__-i__]==BOOST_UBLAS_TEST_EXPANDP_(y)[n__-i__])) \
                                                                                                                 { \
-															BOOST_UBLAS_TEST_ERROR( "Failed assertion: (" << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << "==" << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << ")" << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << " == " << BOOST_UBLAS_TEST_EXPAND_(x)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << " == " << BOOST_UBLAS_TEST_EXPAND_(y)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << " and " << BOOST_UBLAS_TEST_STRINGIFY_(n) << " == " << n__ << "]" ); \
+															BOOST_UBLAS_TEST_ERROR( "Failed assertion: (" << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << "==" << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << ")" << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << " == " << BOOST_UBLAS_TEST_EXPANDP_(x)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << " == " << BOOST_UBLAS_TEST_EXPANDP_(y)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << " and " << BOOST_UBLAS_TEST_STRINGIFY_(n) << " == " << n__ << "]" ); \
                                                                                                                         ++test_fails__; \
                                                                                                                 } \
                                                                                                         } \
@@ -172,16 +292,16 @@
                                                                                                 /* [/BOOST_UBLAS_TEST_CHECK_VECTOR_EQ] */
 
 
-/// Check that elements of \a x and \a y are close with respect to a given precision.
+/// Check that elements of \a x and \a y are close with respect to a given precision \a e.
 #define BOOST_UBLAS_TEST_CHECK_VECTOR_CLOSE(x,y,n,e)	/* [BOOST_UBLAS_TEST_CHECK_VECTOR_CLOSE] */ \
-														if (BOOST_UBLAS_TEST_EXPAND_(n) > 0) \
+														if (BOOST_UBLAS_TEST_EXPANDP_(n) > 0) \
                                                                                                                 { \
-															unsigned long n__ = BOOST_UBLAS_TEST_EXPAND_(n); \
-															for (unsigned long i__ = n__; i__ > 0; --i__) \
+															::std::size_t n__ = BOOST_UBLAS_TEST_EXPAND_(n); \
+															for (::std::size_t i__ = n__; i__ > 0; --i__) \
                                                                                                                         { \
-																if (!::boost::numeric::ublas::test::detail::close_to(BOOST_UBLAS_TEST_EXPAND_(x)[n__-i__], BOOST_UBLAS_TEST_EXPAND_(y)[n__-i__], BOOST_UBLAS_TEST_EXPAND_(e))) \
+																if (!::boost::numeric::ublas::test::detail::close_to(BOOST_UBLAS_TEST_EXPANDP_(x)[n__-i__], BOOST_UBLAS_TEST_EXPANDP_(y)[n__-i__], BOOST_UBLAS_TEST_EXPANDP_(e))) \
                                                                                                                                 { \
-																	BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs((" << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e)  << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << " == " << BOOST_UBLAS_TEST_EXPAND_(x)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << " == " << BOOST_UBLAS_TEST_EXPAND_(y)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << " and " << BOOST_UBLAS_TEST_STRINGIFY_(n) << " == " << n__ << "]" ); \
+																	BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs((" << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e)  << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << " == " << BOOST_UBLAS_TEST_EXPANDP_(x)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << " == " << BOOST_UBLAS_TEST_EXPANDP_(y)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << " and " << BOOST_UBLAS_TEST_STRINGIFY_(n) << " == " << n__ << "]" ); \
                                                                                                                                         ++test_fails__; \
                                                                                                                                 } \
                                                                                                                         } \
@@ -189,37 +309,75 @@
                                                                                                                 /* [/BOOST_UBLAS_TEST_CHECK_VECTOR_CLOSE] */
 
 
+/// Check that elements of \a x and \a y are close with respect to a given relative precision \a e.
+#define BOOST_UBLAS_TEST_CHECK_VECTOR_REL_CLOSE(x,y,n,e)	/* [BOOST_UBLAS_TEST_CHECK_VECTOR_REL_CLOSE] */ \
+														if (BOOST_UBLAS_TEST_EXPANDP_(n) > 0) \
+														{ \
+															::std::size_t n__ = BOOST_UBLAS_TEST_EXPAND_(n); \
+															for (::std::size_t i__ = n__; i__ > 0; --i__) \
+															{ \
+																if (!::boost::numeric::ublas::test::detail::rel_close_to(BOOST_UBLAS_TEST_EXPANDP_(x)[n__-i__], BOOST_UBLAS_TEST_EXPANDP_(y)[n__-i__], BOOST_UBLAS_TEST_EXPANDP_(e))) \
+																{ \
+																	BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs((" << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e)  << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x[i__]) << " == " << BOOST_UBLAS_TEST_EXPANDP_(x)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y[i__]) << " == " << BOOST_UBLAS_TEST_EXPANDP_(y)[n__-i__] << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << " and " << BOOST_UBLAS_TEST_STRINGIFY_(n) << " == " << n__ << "]" ); \
+																	++test_fails__; \
+																} \
+															} \
+														} \
+														/* [/BOOST_UBLAS_TEST_CHECK_VECTOR_REL_CLOSE] */
+
+
 /// Check that elements of matrices \a x and \a y are equal.
 #define BOOST_UBLAS_TEST_CHECK_MATRIX_EQ(x,y,nr,nc)	/* [BOOST_UBLAS_TEST_CHECK_MATRIX_EQ] */ \
-													for (unsigned long i__ = 0; i__ < BOOST_UBLAS_TEST_EXPAND_(nr); ++i__) \
+													for (::std::size_t i__ = 0; i__ < BOOST_UBLAS_TEST_EXPANDP_(nr); ++i__) \
                                                                                                         { \
-														for (unsigned long j__ = 0; j__ < BOOST_UBLAS_TEST_EXPAND_(nc); ++j__) \
+														for (::std::size_t j__ = 0; j__ < BOOST_UBLAS_TEST_EXPANDP_(nc); ++j__) \
                                                                                                                 { \
-															if (!(BOOST_UBLAS_TEST_EXPAND_(x)(i__,j__)==BOOST_UBLAS_TEST_EXPAND_(y)(i__,j__))) \
+															if (!(BOOST_UBLAS_TEST_EXPANDP_(x)(i__,j__)==BOOST_UBLAS_TEST_EXPANDP_(y)(i__,j__))) \
                                                                                                                         { \
-																BOOST_UBLAS_TEST_ERROR( "Failed assertion: (" << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << " == " << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << ") [with " << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPAND_(x)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPAND_(y)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << ", " << BOOST_UBLAS_TEST_STRINGIFY_(j__) << " == " << BOOST_UBLAS_TEST_EXPAND_(j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(nr) << " == " << BOOST_UBLAS_TEST_EXPAND_(nr) << " and " << BOOST_UBLAS_TEST_STRINGIFY_(nc) << " == " << BOOST_UBLAS_TEST_EXPAND_(nc) << "]" ); \
+																BOOST_UBLAS_TEST_ERROR( "Failed assertion: (" << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << " == " << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << ") [with " << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPANDP_(x)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPANDP_(y)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << ", " << BOOST_UBLAS_TEST_STRINGIFY_(j__) << " == " << BOOST_UBLAS_TEST_EXPANDP_(j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(nr) << " == " << BOOST_UBLAS_TEST_EXPANDP_(nr) << " and " << BOOST_UBLAS_TEST_STRINGIFY_(nc) << " == " << BOOST_UBLAS_TEST_EXPANDP_(nc) << "]" ); \
+																++test_fails__; \
                                                                                                                         } \
                                                                                                                 } \
                                                                                                         } \
                                                                                                         /* [/BOOST_UBLAS_TEST_CHECK_MATRIX_EQ] */
 
 
-/// Check that elements of matrices \a x and \a y are close with respect to a given precision.
+/// Check that elements of matrices \a x and \a y are close with respect to a given precision \a e.
 #define BOOST_UBLAS_TEST_CHECK_MATRIX_CLOSE(x,y,nr,nc,e)	/* [BOOST_UBLAS_TEST_CHECK_MATRIX_CLOSE] */ \
-															for (unsigned long i__ = 0; i__ < BOOST_UBLAS_TEST_EXPAND_(nr); ++i__) \
+															for (::std::size_t i__ = 0; i__ < BOOST_UBLAS_TEST_EXPANDP_(nr); ++i__) \
                                                                                                                         { \
-																for (unsigned long j__ = 0; j__ < BOOST_UBLAS_TEST_EXPAND_(nc); ++j__) \
+																for (::std::size_t j__ = 0; j__ < BOOST_UBLAS_TEST_EXPANDP_(nc); ++j__) \
                                                                                                                                 { \
-																	if (!::boost::numeric::ublas::test::detail::close_to(BOOST_UBLAS_TEST_EXPAND_(x)(i__,j__), BOOST_UBLAS_TEST_EXPAND_(y)(i__,j__), BOOST_UBLAS_TEST_EXPAND_(e))) \
+																	if (!::boost::numeric::ublas::test::detail::close_to(BOOST_UBLAS_TEST_EXPANDP_(x)(i__,j__), BOOST_UBLAS_TEST_EXPANDP_(y)(i__,j__), BOOST_UBLAS_TEST_EXPANDP_(e))) \
                                                                                                                                         { \
-																		BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs((" << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e)  << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPAND_(x)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPAND_(y)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << ", " << BOOST_UBLAS_TEST_STRINGIFY_(j__) << " == " << BOOST_UBLAS_TEST_EXPAND_(j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(nr) << " == " << BOOST_UBLAS_TEST_EXPAND_(nr) << " and " << BOOST_UBLAS_TEST_STRINGIFY_(nc) << " == " << BOOST_UBLAS_TEST_EXPAND_(nc) << "]" ); \
+																		BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs((" << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e)  << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPANDP_(x)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPANDP_(y)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << ", " << BOOST_UBLAS_TEST_STRINGIFY_(j__) << " == " << BOOST_UBLAS_TEST_EXPANDP_(j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(nr) << " == " << BOOST_UBLAS_TEST_EXPANDP_(nr) << " and " << BOOST_UBLAS_TEST_STRINGIFY_(nc) << " == " << BOOST_UBLAS_TEST_EXPANDP_(nc) << "]" ); \
+																		++test_fails__; \
                                                                                                                                         } \
                                                                                                                                 } \
                                                                                                                         } \
                                                                                                                         /* [/BOOST_UBLAS_TEST_CHECK_MATRIX_CLOSE] */
 
 
+/// Check that elements of matrices \a x and \a y are close with respect to a given relative precision \a e.
+#define BOOST_UBLAS_TEST_CHECK_MATRIX_REL_CLOSE(x,y,nr,nc,e)	/* [BOOST_UBLAS_TEST_CHECK_MATRIX_REL_CLOSE] */ \
+																for (::std::size_t i__ = 0; i__ < BOOST_UBLAS_TEST_EXPANDP_(nr); ++i__) \
+																{ \
+																	for (::std::size_t j__ = 0; j__ < BOOST_UBLAS_TEST_EXPANDP_(nc); ++j__) \
+																	{ \
+																		if (!::boost::numeric::ublas::test::detail::rel_close_to(BOOST_UBLAS_TEST_EXPANDP_(x)(i__,j__), BOOST_UBLAS_TEST_EXPANDP_(y)(i__,j__), BOOST_UBLAS_TEST_EXPANDP_(e))) \
+																		{ \
+																			BOOST_UBLAS_TEST_ERROR( "Failed assertion: abs((" << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << "-" << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << ") <= " << BOOST_UBLAS_TEST_STRINGIFY_(e)  << " [with " << BOOST_UBLAS_TEST_STRINGIFY_(x(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPANDP_(x)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(y(i__,j__)) << " == " << BOOST_UBLAS_TEST_EXPANDP_(y)(i__,j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(i__) << " == " << i__ << ", " << BOOST_UBLAS_TEST_STRINGIFY_(j__) << " == " << BOOST_UBLAS_TEST_EXPANDP_(j__) << ", " << BOOST_UBLAS_TEST_STRINGIFY_(nr) << " == " << BOOST_UBLAS_TEST_EXPANDP_(nr) << " and " << BOOST_UBLAS_TEST_STRINGIFY_(nc) << " == " << BOOST_UBLAS_TEST_EXPANDP_(nc) << "]" ); \
+																			++test_fails__; \
+																		} \
+																	} \
+																} \
+																/* [/BOOST_UBLAS_TEST_CHECK_MATRIX_REL_CLOSE] */
+
 ///< Output the error message \a x.
-#define BOOST_UBLAS_TEST_ERROR(x) ::std::cerr << "[Error (" << __FILE__ << ":" << __func__ << ":" << __LINE__ << ")>> " << BOOST_UBLAS_TEST_EXPAND_(x) << ::std::endl
+#ifdef __func__ 
+# define BOOST_UBLAS_TEST_ERROR(x) ::std::cerr << "[Error (" << __FILE__ << ":" << __func__ << ":" << __LINE__ << ")>> " << BOOST_UBLAS_TEST_EXPAND_(x) << ::std::endl
+#else
+# define BOOST_UBLAS_TEST_ERROR(x) ::std::cerr << "[Error (" << __FILE__ << ":" << __LINE__ << ")>> " << BOOST_UBLAS_TEST_EXPAND_(x) << ::std::endl
+#endif
 
 #endif // BOOST_NUMERIC_UBLAS_TEST_UTILS_HPP