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1 /**
2  * \file util.hpp
3  *
4  * \brief Utility macros/functions for testing and debugging purpose.
5  *
6  * Basic usage:
7  * <pre>
8  * BOOST_UBLAS_TEST_DEF( test_case_1 )
9  * {
10  *   // do your test stuff
11  * }
12  *
13  * BOOST_UBLAS_TEST_DEF( test_case_2 )
14  * {
15  *   // do your test stuff
16  * }
17  *
18  * // ...
19  *
20  * BOOST_UBLAS_TEST_DEF( test_case_n )
21  * {
22  *   // do your test stuff
23  * }
24  *
25  * int main()
26  * {
27  *   BOOST_UBLAS_TEST_SUITE( "My Test Suite" ); // optional
28  *
29  *   BOOST_UBLAS_TEST_BEGIN();
30  *     BOOST_UBLAS_TEST_DO( test_case_1 );
31  *     BOOST_UBLAS_TEST_DO( test_case_2 );
32  *     // ...
33  *     BOOST_UBLAS_TEST_DO( test_case_n );
34  *   BOOST_UBLAS_TEST_END();
35  * }
36  * </pre>
37  * Inside each <em>test_case_<code>k</code></em> you can use the various
38  * \c BOOST_UBLAS_TEST_CHECK* macros.
39  *
40  * <hr/>
41  *
42  *  Copyright (c) 2009-2012, Marco Guazzone
43  *
44  *  Distributed under the Boost Software License, Version 1.0. (See
45  *  accompanying file LICENSE_1_0.txt or copy at
46  *  http://www.boost.org/LICENSE_1_0.txt)
47  *
48  * \author Marco Guazzone, marco.guazzone@gmail.com
49  */
50 
51 #ifndef BOOST_NUMERIC_UBLAS_TEST_UTILS_HPP
52 #define BOOST_NUMERIC_UBLAS_TEST_UTILS_HPP
53 
54 
55 #include <boost/numeric/ublas/detail/config.hpp>
56 #include <boost/numeric/ublas/traits.hpp>
57 
58 #include <boost/math/special_functions/fpclassify.hpp> // isnan, isinf
59 
60 #include <cmath>
61 #include <complex>
62 #include <cstddef>
63 #include <iostream>
64 #include <limits>
65 #include <stdexcept>
66 
67 #define BOOST_UBLAS_NOT_USED(x) (void)(x)
68 
69 namespace boost { namespace numeric { namespace ublas { namespace test { namespace detail { namespace /*<unnamed>*/ {
70 
71   using ::std::abs;
72   using ::std::max;
73 
74 /// Check if the given complex number is a NaN.
75 // read the comments in fpclassify as well
76 template <typename T>
77 BOOST_UBLAS_INLINE
78 bool (isnan)(::std::complex<T> const& z)
79 {
80 	// According to IEEE, NaN is different even by itself
81   return (z != z) || (boost::math::isnan)(z.real()) || (boost::math::isnan)(z.imag());
82 }
83 
84 /// Check if two (real) numbers are close each other (wrt a given tolerance).
85 template <typename T1, typename T2, typename T3>
86 BOOST_UBLAS_INLINE
close_to(T1 x,T2 y,T3 tol)87 bool close_to(T1 x, T2 y, T3 tol)
88 {
89 	typedef typename promote_traits<typename promote_traits<T1,T2>::promote_type,
90 									T3>::promote_type real_type;
91 
92     if ((boost::math::isnan)(x) || (boost::math::isnan)(y))
93     {
94         // According to IEEE, NaN is different even by itself
95         return false;
96     }
97     return abs(x-y) <= (max(static_cast<real_type>(abs(x)), static_cast<real_type>(abs(y)))*tol);
98 }
99 
100 /// Check if two complex numbers are close each other (wrt a given tolerance).
101 template <typename T1, typename T2, typename T3>
102 BOOST_UBLAS_INLINE
close_to(::std::complex<T1> const & x,::std::complex<T2> const & y,T3 tol)103 bool close_to(::std::complex<T1> const& x, ::std::complex<T2> const& y, T3 tol)
104 {
105 	typedef typename promote_traits<typename promote_traits<T1,T2>::promote_type,
106 									T3>::promote_type real_type;
107 
108     if ((isnan)(x) || (isnan)(y))
109     {
110         // According to IEEE, NaN is different even by itself
111         return false;
112     }
113 	::std::complex<real_type> xx(x);
114 	::std::complex<real_type> yy(y);
115 
116     return abs(xx-yy) <= (max(abs(xx), abs(yy))*tol);
117 }
118 
119 /// Check if two (real) numbers are close each other (wrt a given tolerance).
120 template <typename T1, typename T2, typename T3>
121 BOOST_UBLAS_INLINE
rel_close_to(T1 x,T2 y,T3 tol)122 bool rel_close_to(T1 x, T2 y, T3 tol)
123 {
124     //typedef typename promote_traits<typename promote_traits<T1,T2>::promote_type,
125     //								T3>::promote_type real_type;
126 
127     if ((boost::math::isnan)(x) || (boost::math::isnan)(y))
128     {
129         // According to IEEE, NaN is different even by itself
130         return false;
131     }
132     return abs(x-y)/abs(y) <= tol;
133 }
134 
135 /// Check if two complex numbers are close each other (wrt a given tolerance).
136 template <typename T1, typename T2, typename T3>
137 BOOST_UBLAS_INLINE
rel_close_to(::std::complex<T1> const & x,::std::complex<T2> const & y,T3 tol)138 bool rel_close_to(::std::complex<T1> const& x, ::std::complex<T2> const& y, T3 tol)
139 {
140 	typedef typename promote_traits<typename promote_traits<T1,T2>::promote_type,
141 									T3>::promote_type real_type;
142 
143     if ((isnan)(x) || (isnan)(y))
144     {
145         // According to IEEE, NaN is different even by itself
146         return false;
147     }
148 	::std::complex<real_type> xx(x);
149 	::std::complex<real_type> yy(y);
150 
151     return abs(xx-yy)/abs(yy) <= tol;
152 }
153 
154 }}}}}} // Namespace boost::numeric::ublas::test::detail::<unnamed>
155 
156 
157 /// Expand its argument \a x.
158 #define BOOST_UBLAS_TEST_EXPAND_(x) x
159 
160 
161 /// Expand its argument \a x inside parenthesis.
162 #define BOOST_UBLAS_TEST_EXPANDP_(x) (x)
163 
164 
165 /// Transform its argument \a x into a string.
166 #define BOOST_UBLAS_TEST_STRINGIFY_(x) #x
167 
168 
169 /// Concatenate its two \e string arguments \a x and \a y.
170 #define BOOST_UBLAS_TEST_JOIN_(x,y) x ## y
171 
172 
173 /// Output the message \a x if in debug-mode; otherwise output nothing.
174 /// Note: we don't use macro expansion inside parenthesis to let \a m be an
175 ///  expression of the form <code>a &lt;&lt; b</code>.
176 #ifndef NDEBUG
177 # 	define BOOST_UBLAS_DEBUG_TRACE(x) ::std::cerr << "[Debug>> " << BOOST_UBLAS_TEST_EXPAND_(x) << ::std::endl
178 #else
179 # 	define BOOST_UBLAS_DEBUG_TRACE(x) /**/
180 #endif // NDEBUG
181 
182 
183 /// Define the name \a m of the entire test suite.
184 #define BOOST_UBLAS_TEST_SUITE(m) ::std::cerr << "--- Test Suite: " << BOOST_UBLAS_TEST_EXPAND_(m) << " ---" << ::std::endl;
185 
186 
187 /// Define the beginning of a test suite.
188 #define BOOST_UBLAS_TEST_BEGIN() 	/* [BOOST_UBLAS_TEST_BEGIN] */ \
189 									{ \
190 										/* Begin of Test Suite */ \
191 										::std::size_t test_fails__(0) \
192 									/* [/BOOST_UBLAS_TEST_BEGIN] */
193 
194 
195 /// Define a test case \a x inside the current test suite.
196 #define BOOST_UBLAS_TEST_DEF(x) static void BOOST_UBLAS_TEST_EXPAND_(x)(::std::size_t& test_fails__)
197 
198 
199 /// Call the test case \a x.
200 #define BOOST_UBLAS_TEST_DO(x) 	/* [BOOST_UBLAS_TEST_DO] */ \
201 								try \
202 								{ \
203 									BOOST_UBLAS_TEST_EXPAND_(x)(test_fails__); \
204 								} \
205 								catch (::std::exception& e) \
206 								{ \
207 									++test_fails__; \
208 									BOOST_UBLAS_TEST_ERROR( e.what() ); \
209 								} \
210 								catch (...) \
211 								{ \
212 									++test_fails__; \
213 								} \
214 								/* [/BOOST_UBLAS_TEST_DO] */
215 
216 
217 /// Define the end of a test suite and return non-zero value if any test failed.
218 #define BOOST_UBLAS_TEST_END() 	/* [BOOST_UBLAS_TEST_END] */ \
219 								if (test_fails__ > 0) \
220 								{ \
221 									::std::cerr << "Number of failed tests: " << test_fails__ << ::std::endl; \
222 									return EXIT_FAILURE; \
223 								} \
224 								else \
225 								{ \
226 									::std::cerr << "No failed test" << ::std::endl; \
227 									return EXIT_SUCCESS; \
228 								} \
229 								} /* End of test suite */ \
230 								/* [/BOOST_UBLAS_TEST_END] */
231 
232 
233 /// Output the message \a m.
234 /// Note: we don't use macro expansion inside parenthesis to let \a m be an
235 ///  expression of the form <code>a &lt;&lt; b</code>.
236 #define BOOST_UBLAS_TEST_TRACE(m) ::std::cerr << "[Info>> " << BOOST_UBLAS_TEST_EXPAND_(m) << ::std::endl
237 
238 
239 /// Check the truth of assertion \a x.
240 #define BOOST_UBLAS_TEST_CHECK(x)	/* [BOOST_UBLAS_TEST_CHECK] */ \
241 									if (!BOOST_UBLAS_TEST_EXPANDP_(x)) \
242 									{ \
243 										BOOST_UBLAS_TEST_ERROR( "Failed assertion: " << BOOST_UBLAS_TEST_STRINGIFY_(x) ); \
244 										++test_fails__; \
245 									} \
246 									/* [/BOOST_UBLAS_TEST_CHECK] */
247 
248 
249 /// Check for the equality of \a x against \a y.
250 #define BOOST_UBLAS_TEST_CHECK_EQ(x,y)	/* [BOOST_UBLAS_TEST_CHECK_EQUAL] */ \
251 										if (!(BOOST_UBLAS_TEST_EXPANDP_(x) == BOOST_UBLAS_TEST_EXPANDP_(y))) \
252 										{ \
253 											BOOST_UBLAS_TEST_ERROR( "Failed assertion: (" << BOOST_UBLAS_TEST_STRINGIFY_(x) << " == " << BOOST_UBLAS_TEST_STRINGIFY_(y) << ")" ); \
254 											++test_fails__; \
255 										} \
256 										/* [/BOOST_UBLAS_TEST_CHECK_EQUAL] */
257 
258 
259 /// Alias for macro \c BOOST_UBLAS_TEST_CHECK_EQ (for backward compatibility).
260 #define BOOST_UBLAS_TEST_CHECK_EQUAL(x,y) BOOST_UBLAS_TEST_CHECK_EQ(x,y)
261 
262 
263 /// Check that \a x and \a y are close with respect to a given precision \a e.
264 #define BOOST_UBLAS_TEST_CHECK_CLOSE(x,y,e)	/* [BOOST_UBLAS_TEST_CHECK_CLOSE] */ \
265 											if (!::boost::numeric::ublas::test::detail::close_to(BOOST_UBLAS_TEST_EXPAND_(x), BOOST_UBLAS_TEST_EXPAND_(y), BOOST_UBLAS_TEST_EXPAND_(e))) \
266 											{ \
267 												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) << "]" ); \
268 												++test_fails__; \
269 											} \
270 											/* [/BOOST_UBLAS_TEST_CHECK_CLOSE] */
271 
272 
273 /// Alias for macro \c BOOST_UBLAS_TEST_CHECK_CLOSE (for backward compatibility),
274 #define BOOST_UBLAS_TEST_CHECK_PRECISION(x,y,e) BOOST_UBLAS_TEST_CHECK_CLOSE(x,y,e)
275 
276 
277 /// Check that \a x is close to \a y with respect to a given relative precision \a e.
278 #define BOOST_UBLAS_TEST_CHECK_REL_CLOSE(x,y,e)	/* [BOOST_UBLAS_TEST_CHECK_REL_CLOSE] */ \
279 												if (!::boost::numeric::ublas::test::detail::rel_close_to(BOOST_UBLAS_TEST_EXPAND_(x), BOOST_UBLAS_TEST_EXPAND_(y), BOOST_UBLAS_TEST_EXPAND_(e))) \
280 												{ \
281 													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) << "]" ); \
282 													++test_fails__; \
283 												} \
284 												/* [/BOOST_UBLAS_TEST_CHECK_REL_CLOSE] */
285 
286 
287 /// Alias for macro \c BOOST_UBLAS_TEST_CHECK_REL_CLOSE (for backward compatibility),
288 #define BOOST_UBLAS_TEST_CHECK_REL_PRECISION(x,y,e) BOOST_UBLAS_TEST_CHECK_REL_CLOSE(x,y,e)
289 
290 
291 /// Check that elements of \a x and \a y are equal.
292 #define BOOST_UBLAS_TEST_CHECK_VECTOR_EQ(x,y,n)	/* [BOOST_UBLAS_TEST_CHECK_VECTOR_EQ] */ \
293 												if (BOOST_UBLAS_TEST_EXPANDP_(n) > 0) \
294 												{ \
295 													::std::size_t n__ = BOOST_UBLAS_TEST_EXPAND_(n); \
296 													for (::std::size_t i__ = n__; i__ > 0; --i__) \
297 													{ \
298 														if (!(BOOST_UBLAS_TEST_EXPANDP_(x)[n__-i__]==BOOST_UBLAS_TEST_EXPANDP_(y)[n__-i__])) \
299 														{ \
300 															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__ << "]" ); \
301 															++test_fails__; \
302 														} \
303 													} \
304 												} \
305 												/* [/BOOST_UBLAS_TEST_CHECK_VECTOR_EQ] */
306 
307 
308 /// Check that elements of \a x and \a y are close with respect to a given precision \a e.
309 #define BOOST_UBLAS_TEST_CHECK_VECTOR_CLOSE(x,y,n,e)	/* [BOOST_UBLAS_TEST_CHECK_VECTOR_CLOSE] */ \
310 														if (BOOST_UBLAS_TEST_EXPANDP_(n) > 0) \
311 														{ \
312 															::std::size_t n__ = BOOST_UBLAS_TEST_EXPAND_(n); \
313 															for (::std::size_t i__ = n__; i__ > 0; --i__) \
314 															{ \
315 																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))) \
316 																{ \
317 																	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__ << "]" ); \
318 																	++test_fails__; \
319 																} \
320 															} \
321 														} \
322 														/* [/BOOST_UBLAS_TEST_CHECK_VECTOR_CLOSE] */
323 
324 
325 /// Check that elements of \a x and \a y are close with respect to a given relative precision \a e.
326 #define BOOST_UBLAS_TEST_CHECK_VECTOR_REL_CLOSE(x,y,n,e)	/* [BOOST_UBLAS_TEST_CHECK_VECTOR_REL_CLOSE] */ \
327 														if (BOOST_UBLAS_TEST_EXPANDP_(n) > 0) \
328 														{ \
329 															::std::size_t n__ = BOOST_UBLAS_TEST_EXPAND_(n); \
330 															for (::std::size_t i__ = n__; i__ > 0; --i__) \
331 															{ \
332 																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))) \
333 																{ \
334 																	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__ << "]" ); \
335 																	++test_fails__; \
336 																} \
337 															} \
338 														} \
339 														/* [/BOOST_UBLAS_TEST_CHECK_VECTOR_REL_CLOSE] */
340 
341 
342 /// Check that elements of matrices \a x and \a y are equal.
343 #define BOOST_UBLAS_TEST_CHECK_MATRIX_EQ(x,y,nr,nc)	/* [BOOST_UBLAS_TEST_CHECK_MATRIX_EQ] */ \
344 													for (::std::size_t i__ = 0; i__ < BOOST_UBLAS_TEST_EXPANDP_(nr); ++i__) \
345 													{ \
346 														for (::std::size_t j__ = 0; j__ < BOOST_UBLAS_TEST_EXPANDP_(nc); ++j__) \
347 														{ \
348 															if (!(BOOST_UBLAS_TEST_EXPANDP_(x)(i__,j__)==BOOST_UBLAS_TEST_EXPANDP_(y)(i__,j__))) \
349 															{ \
350 																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) << "]" ); \
351 																++test_fails__; \
352 															} \
353 														} \
354 													} \
355 													/* [/BOOST_UBLAS_TEST_CHECK_MATRIX_EQ] */
356 
357 
358 /// Check that elements of matrices \a x and \a y are close with respect to a given precision \a e.
359 #define BOOST_UBLAS_TEST_CHECK_MATRIX_CLOSE(x,y,nr,nc,e)	/* [BOOST_UBLAS_TEST_CHECK_MATRIX_CLOSE] */ \
360 															for (::std::size_t i__ = 0; i__ < BOOST_UBLAS_TEST_EXPANDP_(nr); ++i__) \
361 															{ \
362 																for (::std::size_t j__ = 0; j__ < BOOST_UBLAS_TEST_EXPANDP_(nc); ++j__) \
363 																{ \
364 																	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))) \
365 																	{ \
366 																		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) << "]" ); \
367 																		++test_fails__; \
368 																	} \
369 																} \
370 															} \
371 															/* [/BOOST_UBLAS_TEST_CHECK_MATRIX_CLOSE] */
372 
373 
374 /// Check that elements of matrices \a x and \a y are close with respect to a given relative precision \a e.
375 #define BOOST_UBLAS_TEST_CHECK_MATRIX_REL_CLOSE(x,y,nr,nc,e)	/* [BOOST_UBLAS_TEST_CHECK_MATRIX_REL_CLOSE] */ \
376 																for (::std::size_t i__ = 0; i__ < BOOST_UBLAS_TEST_EXPANDP_(nr); ++i__) \
377 																{ \
378 																	for (::std::size_t j__ = 0; j__ < BOOST_UBLAS_TEST_EXPANDP_(nc); ++j__) \
379 																	{ \
380 																		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))) \
381 																		{ \
382 																			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) << "]" ); \
383 																			++test_fails__; \
384 																		} \
385 																	} \
386 																} \
387 																/* [/BOOST_UBLAS_TEST_CHECK_MATRIX_REL_CLOSE] */
388 
389 ///< Output the error message \a x.
390 #ifdef _MSC_VER
391 # define BOOST_UBLAS_TEST_ERROR(x) ::std::cerr << "[Error (" << __FILE__ << ":" << __FUNCTION__ << ":" << __LINE__ << ")>> " << BOOST_UBLAS_TEST_EXPAND_(x) << ::std::endl
392 #else
393 # define BOOST_UBLAS_TEST_ERROR(x) ::std::cerr << "[Error (" << __FILE__ << ":" << __func__ << ":" << __LINE__ << ")>> " << BOOST_UBLAS_TEST_EXPAND_(x) << ::std::endl
394 #endif
395 
396 #endif // BOOST_NUMERIC_UBLAS_TEST_UTILS_HPP
397