]>
git.proxmox.com Git - ceph.git/blob - ceph/src/boost/libs/multiprecision/test/test_cpp_bin_float.cpp
1 // Copyright John Maddock 2013.
3 // Use, modification and distribution are subject to the
4 // Boost Software License, Version 1.0.
5 // (See accompanying file LICENSE_1_0.txt
6 // or copy at http://www.boost.org/LICENSE_1_0.txt)
9 # define _SCL_SECURE_NO_WARNINGS
12 #include <boost/multiprecision/cpp_bin_float.hpp>
14 #include <boost/multiprecision/mpfr.hpp>
16 #include <boost/random/mersenne_twister.hpp>
17 #include <boost/random/uniform_int.hpp>
18 #include "libs/multiprecision/test/test.hpp"
26 static boost::random::mt19937 gen
;
29 while(val
!= prev_val
)
38 static boost::random::uniform_int_distribution
<e_type
> ui(-20, 20);
39 return ldexp(val
, ui(gen
));
43 using namespace boost::multiprecision
;
45 typedef number
<mpfr_float_backend
<35> > good_type
;
47 typedef double good_type
;
49 typedef number
<cpp_bin_float
<std::numeric_limits
<good_type
>::digits
, digit_base_2
>, et_off
> test_type
;
51 void test_special_cases()
53 test_type max_val
= (std::numeric_limits
<test_type
>::max
)();
54 test_type min_val
= (std::numeric_limits
<test_type
>::min
)();
55 test_type eps
= std::numeric_limits
<test_type
>::epsilon();
56 test_type inf_val
= (std::numeric_limits
<test_type
>::infinity
)();
57 test_type nan_val
= (std::numeric_limits
<test_type
>::quiet_NaN
)();
59 test_type one_point_5
= 1.5;
61 BOOST_CHECK((boost::math::isnormal
)(max_val
));
62 BOOST_CHECK((boost::math::isnormal
)(-max_val
));
63 BOOST_CHECK((boost::math::isnormal
)(min_val
));
64 BOOST_CHECK((boost::math::isnormal
)(-min_val
));
65 BOOST_CHECK((boost::math::isinf
)(inf_val
));
66 BOOST_CHECK((boost::math::isinf
)(-inf_val
));
67 BOOST_CHECK((boost::math::isnan
)(nan_val
));
68 BOOST_CHECK((boost::math::isnan
)(-nan_val
));
70 if(std::numeric_limits
<test_type
>::has_denorm
)
71 min_val
= std::numeric_limits
<test_type
>::denorm_min();
73 // Adding epsilon will increment 1.0:
74 BOOST_CHECK(test_type(1) + eps
!= test_type(1));
75 BOOST_CHECK(test_type(1) + eps
/ 2 == test_type(1));
76 // But it's not the smallest value that will do that:
77 test_type small
= 1 + eps
;
78 small
= ldexp(small
, -std::numeric_limits
<test_type
>::digits
);
79 BOOST_CHECK(test_type(1) + small
!= test_type(1));
80 // And if we increment 1.0 first, then an even smaller
81 // addition will round up:
82 test_type one_next
= test_type(1) + eps
;
83 BOOST_CHECK(one_next
+ eps
/ 2 != one_next
);
86 BOOST_CHECK_EQUAL(max_val
+ max_val
* eps
, inf_val
);
87 BOOST_CHECK_EQUAL(-max_val
- max_val
* eps
, -inf_val
);
88 BOOST_CHECK_EQUAL(max_val
* 2, inf_val
);
89 BOOST_CHECK_EQUAL(max_val
* -2, -inf_val
);
90 BOOST_CHECK_EQUAL(max_val
/ half
, inf_val
);
91 BOOST_CHECK_EQUAL(max_val
/ -half
, -inf_val
);
92 BOOST_CHECK_EQUAL(max_val
/ min_val
, inf_val
);
93 BOOST_CHECK_EQUAL(max_val
/ -min_val
, -inf_val
);
95 BOOST_CHECK_EQUAL(min_val
* 2 - one_point_5
* min_val
, 0);
96 BOOST_CHECK_EQUAL(-min_val
* 2 + one_point_5
* min_val
, 0);
97 BOOST_CHECK_EQUAL(min_val
/ 2, 0);
98 BOOST_CHECK_EQUAL(min_val
/ max_val
, 0);
99 BOOST_CHECK_EQUAL(min_val
* half
, 0);
100 BOOST_CHECK_EQUAL(min_val
- min_val
, 0);
101 BOOST_CHECK_EQUAL(max_val
- max_val
, 0);
102 BOOST_CHECK_EQUAL(-min_val
+ min_val
, 0);
103 BOOST_CHECK_EQUAL(-max_val
+ max_val
, 0);
104 // Things which should not over/underflow:
105 BOOST_CHECK_EQUAL((min_val
* 2) / 2, min_val
);
106 BOOST_CHECK_EQUAL((max_val
/ 2) * 2, max_val
);
107 BOOST_CHECK_GE((min_val
* 2.0000001) / 1.9999999999999999, min_val
);
108 BOOST_CHECK_LE((max_val
/ 2.0000001) * 1.9999999999999999, max_val
);
109 BOOST_CHECK_EQUAL(min_val
* 2 - min_val
, min_val
);
110 BOOST_CHECK_EQUAL(max_val
/ 2 + max_val
/ 2, max_val
);
111 // Things involving zero:
112 BOOST_CHECK_EQUAL(max_val
+ 0, max_val
);
113 BOOST_CHECK_EQUAL(max_val
- 0, max_val
);
114 BOOST_CHECK_EQUAL(0 + max_val
, max_val
);
115 BOOST_CHECK_EQUAL(0 - max_val
, -max_val
);
116 BOOST_CHECK_EQUAL(max_val
* 0, 0);
117 BOOST_CHECK_EQUAL(0 * max_val
, 0);
118 BOOST_CHECK_EQUAL(max_val
/ 0, inf_val
);
119 BOOST_CHECK_EQUAL(0 / max_val
, 0);
120 BOOST_CHECK_EQUAL(-max_val
/ 0, -inf_val
);
121 BOOST_CHECK_EQUAL(0 / -max_val
, 0);
122 // Things involving infinity:
123 BOOST_CHECK_EQUAL(inf_val
+ 2, inf_val
);
124 BOOST_CHECK_EQUAL(inf_val
- 2, inf_val
);
125 BOOST_CHECK_EQUAL(inf_val
+ -2, inf_val
);
126 BOOST_CHECK_EQUAL(inf_val
- -2, inf_val
);
127 BOOST_CHECK_EQUAL(-inf_val
+ 2, -inf_val
);
128 BOOST_CHECK_EQUAL(-inf_val
- 2, -inf_val
);
129 BOOST_CHECK_EQUAL(-inf_val
+ -2, -inf_val
);
130 BOOST_CHECK_EQUAL(-inf_val
- -2, -inf_val
);
132 BOOST_CHECK_EQUAL(2 + inf_val
, inf_val
);
133 BOOST_CHECK_EQUAL(2 - inf_val
, -inf_val
);
134 BOOST_CHECK_EQUAL(-2 + inf_val
, inf_val
);
135 BOOST_CHECK_EQUAL(-2 - inf_val
, -inf_val
);
136 BOOST_CHECK_EQUAL(2 + (-inf_val
), -inf_val
);
137 BOOST_CHECK_EQUAL(2 - (-inf_val
), inf_val
);
138 BOOST_CHECK_EQUAL(-2 + (-inf_val
), -inf_val
);
139 BOOST_CHECK_EQUAL(-2 - (-inf_val
), inf_val
);
141 BOOST_CHECK_EQUAL(sqrt(inf_val
), inf_val
);
142 BOOST_CHECK(boost::math::isnan(sqrt(-inf_val
)));
144 BOOST_CHECK_EQUAL(inf_val
+ test_type(2), inf_val
);
145 BOOST_CHECK_EQUAL(inf_val
- test_type(2), inf_val
);
146 BOOST_CHECK_EQUAL(inf_val
+ test_type(-2), inf_val
);
147 BOOST_CHECK_EQUAL(inf_val
- test_type(-2), inf_val
);
148 BOOST_CHECK_EQUAL(-inf_val
+ test_type(2), -inf_val
);
149 BOOST_CHECK_EQUAL(-inf_val
- test_type(2), -inf_val
);
150 BOOST_CHECK_EQUAL(-inf_val
+ test_type(-2), -inf_val
);
151 BOOST_CHECK_EQUAL(-inf_val
- test_type(-2), -inf_val
);
153 BOOST_CHECK_EQUAL(test_type(2) + inf_val
, inf_val
);
154 BOOST_CHECK_EQUAL(test_type(2) - inf_val
, -inf_val
);
155 BOOST_CHECK_EQUAL(test_type(-2) + inf_val
, inf_val
);
156 BOOST_CHECK_EQUAL(test_type(-2) - inf_val
, -inf_val
);
157 BOOST_CHECK_EQUAL(test_type(2) + (-inf_val
), -inf_val
);
158 BOOST_CHECK_EQUAL(test_type(2) - (-inf_val
), inf_val
);
159 BOOST_CHECK_EQUAL(test_type(-2) + (-inf_val
), -inf_val
);
160 BOOST_CHECK_EQUAL(test_type(-2) - (-inf_val
), inf_val
);
162 BOOST_CHECK((boost::math::isnan
)(inf_val
- inf_val
));
163 BOOST_CHECK_EQUAL(inf_val
* 2, inf_val
);
164 BOOST_CHECK_EQUAL(-inf_val
* 2, -inf_val
);
165 BOOST_CHECK_EQUAL(inf_val
* -2, -inf_val
);
166 BOOST_CHECK_EQUAL(-inf_val
* -2, inf_val
);
167 BOOST_CHECK_EQUAL(inf_val
* test_type(-2), -inf_val
);
168 BOOST_CHECK_EQUAL(-inf_val
* test_type(-2), inf_val
);
169 BOOST_CHECK((boost::math::isnan
)(inf_val
* 0));
170 BOOST_CHECK((boost::math::isnan
)(-inf_val
* 0));
171 BOOST_CHECK_EQUAL(inf_val
/ 2, inf_val
);
172 BOOST_CHECK_EQUAL(-inf_val
/ 2, -inf_val
);
173 BOOST_CHECK_EQUAL(inf_val
/ -2, -inf_val
);
174 BOOST_CHECK_EQUAL(-inf_val
/ -2, inf_val
);
175 BOOST_CHECK_EQUAL(inf_val
/ test_type(-2), -inf_val
);
176 BOOST_CHECK_EQUAL(-inf_val
/ test_type(-2), inf_val
);
177 BOOST_CHECK_EQUAL(inf_val
/ 0, inf_val
);
178 BOOST_CHECK_EQUAL(-inf_val
/ 0, -inf_val
);
179 BOOST_CHECK((boost::math::isnan
)(inf_val
/ inf_val
));
180 BOOST_CHECK((boost::math::isnan
)(-inf_val
/ inf_val
));
181 // Things involving nan:
182 BOOST_CHECK((boost::math::isnan
)(nan_val
+ 2));
183 BOOST_CHECK((boost::math::isnan
)(nan_val
- 2));
184 BOOST_CHECK((boost::math::isnan
)(nan_val
+ 0));
185 BOOST_CHECK((boost::math::isnan
)(nan_val
- 0));
186 BOOST_CHECK((boost::math::isnan
)(nan_val
+ inf_val
));
187 BOOST_CHECK((boost::math::isnan
)(nan_val
- inf_val
));
188 BOOST_CHECK((boost::math::isnan
)(nan_val
+ nan_val
));
189 BOOST_CHECK((boost::math::isnan
)(nan_val
- nan_val
));
190 BOOST_CHECK((boost::math::isnan
)(2 + nan_val
));
191 BOOST_CHECK((boost::math::isnan
)(2 - nan_val
));
192 BOOST_CHECK((boost::math::isnan
)(0 - nan_val
));
193 BOOST_CHECK((boost::math::isnan
)(0 - nan_val
));
194 BOOST_CHECK((boost::math::isnan
)(inf_val
+ nan_val
));
195 BOOST_CHECK((boost::math::isnan
)(inf_val
- nan_val
));
196 BOOST_CHECK((boost::math::isnan
)(nan_val
* 2));
197 BOOST_CHECK((boost::math::isnan
)(nan_val
/ 2));
198 BOOST_CHECK((boost::math::isnan
)(nan_val
* 0));
199 BOOST_CHECK((boost::math::isnan
)(nan_val
/ 0));
200 BOOST_CHECK((boost::math::isnan
)(nan_val
* inf_val
));
201 BOOST_CHECK((boost::math::isnan
)(nan_val
/ inf_val
));
202 BOOST_CHECK((boost::math::isnan
)(nan_val
* nan_val
));
203 BOOST_CHECK((boost::math::isnan
)(nan_val
/ nan_val
));
204 BOOST_CHECK((boost::math::isnan
)(2 * nan_val
));
205 BOOST_CHECK((boost::math::isnan
)(2 / nan_val
));
206 BOOST_CHECK((boost::math::isnan
)(0 / nan_val
));
207 BOOST_CHECK((boost::math::isnan
)(0 / nan_val
));
208 BOOST_CHECK((boost::math::isnan
)(inf_val
* nan_val
));
209 BOOST_CHECK((boost::math::isnan
)(inf_val
/ nan_val
));
211 BOOST_CHECK_EQUAL((max_val
* half
) / half
, max_val
);
212 BOOST_CHECK_EQUAL((max_val
/ 2) * 2, max_val
);
213 BOOST_CHECK_EQUAL((min_val
/ half
) * half
, min_val
);
214 BOOST_CHECK_EQUAL((min_val
* 2) / 2, min_val
);
215 BOOST_CHECK_EQUAL(max_val
+ min_val
, max_val
);
216 BOOST_CHECK_EQUAL(min_val
+ max_val
, max_val
);
217 BOOST_CHECK_EQUAL(max_val
- min_val
, max_val
);
218 BOOST_CHECK_EQUAL(min_val
- max_val
, -max_val
);
220 BOOST_CHECK(boost::math::signbit(min_val
* -min_val
));
221 BOOST_CHECK(boost::math::signbit(min_val
* min_val
) == 0);
222 BOOST_CHECK(boost::math::signbit(-min_val
* -min_val
) == 0);
223 BOOST_CHECK(boost::math::signbit(-min_val
* min_val
));
224 BOOST_CHECK(boost::math::signbit(min_val
/ max_val
) == 0);
225 BOOST_CHECK(boost::math::signbit(min_val
/ -max_val
));
226 BOOST_CHECK(boost::math::signbit(-min_val
/ -max_val
) == 0);
227 BOOST_CHECK(boost::math::signbit(-min_val
/ max_val
));
228 BOOST_CHECK(boost::math::signbit(min_val
/ 2) == 0);
229 BOOST_CHECK(boost::math::signbit(min_val
/ -2));
230 BOOST_CHECK(boost::math::signbit(-min_val
/ -2) == 0);
231 BOOST_CHECK(boost::math::signbit(-min_val
/ 2));
232 test_type neg_zero
= min_val
* -min_val
;
234 // Arithmetic involving signed zero:
235 BOOST_CHECK_EQUAL(-neg_zero
, 0);
236 BOOST_CHECK(!boost::math::signbit(-neg_zero
));
237 BOOST_CHECK_EQUAL(neg_zero
+ 2, 2);
238 BOOST_CHECK_EQUAL(neg_zero
+ test_type(2), 2);
239 BOOST_CHECK_EQUAL(2 + neg_zero
, 2);
240 BOOST_CHECK_EQUAL(test_type(2) + neg_zero
, 2);
241 BOOST_CHECK_EQUAL(neg_zero
+ -2, -2);
242 BOOST_CHECK_EQUAL(neg_zero
+ test_type(-2), -2);
243 BOOST_CHECK_EQUAL(-2 + neg_zero
, -2);
244 BOOST_CHECK_EQUAL(test_type(-2) + neg_zero
, -2);
245 BOOST_CHECK_EQUAL(neg_zero
- 2, -2);
246 BOOST_CHECK_EQUAL(neg_zero
- test_type(2), -2);
247 BOOST_CHECK_EQUAL(2 - neg_zero
, 2);
248 BOOST_CHECK_EQUAL(test_type(2) - neg_zero
, 2);
249 BOOST_CHECK_EQUAL(neg_zero
- -2, 2);
250 BOOST_CHECK_EQUAL(neg_zero
- test_type(-2), 2);
251 BOOST_CHECK_EQUAL(-2 - neg_zero
, -2);
252 BOOST_CHECK_EQUAL(test_type(-2) - neg_zero
, -2);
253 BOOST_CHECK(!boost::math::signbit(test_type(2) + test_type(-2)));
254 BOOST_CHECK(!boost::math::signbit(test_type(2) - test_type(2)));
255 BOOST_CHECK(!boost::math::signbit(test_type(-2) - test_type(-2)));
256 BOOST_CHECK(!boost::math::signbit(test_type(-2) + test_type(2)));
257 BOOST_CHECK(!boost::math::signbit(zero
+ zero
));
258 BOOST_CHECK(!boost::math::signbit(zero
- zero
));
259 BOOST_CHECK(!boost::math::signbit(neg_zero
+ zero
));
260 BOOST_CHECK(!boost::math::signbit(zero
+ neg_zero
));
261 BOOST_CHECK(boost::math::signbit(neg_zero
+ neg_zero
));
262 BOOST_CHECK(boost::math::signbit(neg_zero
- zero
));
263 BOOST_CHECK(!boost::math::signbit(zero
- neg_zero
));
264 BOOST_CHECK(!boost::math::signbit(neg_zero
- neg_zero
));
266 BOOST_CHECK(!boost::math::signbit(floor(small
)));
267 BOOST_CHECK(!boost::math::signbit(round(small
)));
268 BOOST_CHECK(!boost::math::signbit(trunc(small
)));
270 BOOST_CHECK(boost::math::signbit(ceil(small
)));
271 BOOST_CHECK(boost::math::signbit(round(small
)));
272 BOOST_CHECK(boost::math::signbit(trunc(small
)));
275 BOOST_CHECK_EQUAL(neg_zero
* 2, 0);
276 BOOST_CHECK_EQUAL(neg_zero
* test_type(2), 0);
277 BOOST_CHECK_EQUAL(2 * neg_zero
, 0);
278 BOOST_CHECK_EQUAL(test_type(2) * neg_zero
, 0);
279 BOOST_CHECK_EQUAL(neg_zero
* -2, 0);
280 BOOST_CHECK_EQUAL(neg_zero
* test_type(-2), 0);
281 BOOST_CHECK_EQUAL(-2 * neg_zero
, 0);
282 BOOST_CHECK_EQUAL(test_type(-2) * neg_zero
, 0);
283 BOOST_CHECK(boost::math::signbit(neg_zero
* 2));
284 BOOST_CHECK(boost::math::signbit(neg_zero
* test_type(2)));
285 BOOST_CHECK(boost::math::signbit(2 * neg_zero
));
286 BOOST_CHECK(boost::math::signbit(test_type(2) * neg_zero
));
287 BOOST_CHECK(!boost::math::signbit(neg_zero
* -2));
288 BOOST_CHECK(!boost::math::signbit(neg_zero
* test_type(-2)));
289 BOOST_CHECK(!boost::math::signbit(-2 * neg_zero
));
290 BOOST_CHECK(!boost::math::signbit(test_type(-2) * neg_zero
));
292 BOOST_CHECK_EQUAL(neg_zero
/ 2, 0);
293 BOOST_CHECK_EQUAL(neg_zero
/ test_type(2), 0);
294 BOOST_CHECK_EQUAL(2 / neg_zero
, -inf_val
);
295 BOOST_CHECK_EQUAL(test_type(2) / neg_zero
, -inf_val
);
296 BOOST_CHECK_EQUAL(neg_zero
/ -2, 0);
297 BOOST_CHECK_EQUAL(neg_zero
/ test_type(-2), 0);
298 BOOST_CHECK_EQUAL(-2 / neg_zero
, inf_val
);
299 BOOST_CHECK_EQUAL(test_type(-2) / neg_zero
, inf_val
);
300 BOOST_CHECK(boost::math::signbit(neg_zero
/ 2));
301 BOOST_CHECK(boost::math::signbit(neg_zero
/ test_type(2)));
302 BOOST_CHECK(boost::math::signbit(2 / neg_zero
));
303 BOOST_CHECK(boost::math::signbit(test_type(2) / neg_zero
));
304 BOOST_CHECK(!boost::math::signbit(neg_zero
/ -2));
305 BOOST_CHECK(!boost::math::signbit(neg_zero
/ test_type(-2)));
306 BOOST_CHECK(!boost::math::signbit(-2 / neg_zero
));
307 BOOST_CHECK(!boost::math::signbit(test_type(-2) / neg_zero
));
309 BOOST_CHECK(boost::math::signbit(neg_zero
.convert_to
<double>()));
310 BOOST_CHECK(boost::math::signbit(neg_zero
.convert_to
<float>()));
311 BOOST_CHECK(boost::math::signbit(neg_zero
.convert_to
<long double>()));
312 BOOST_CHECK(!boost::math::signbit(zero
.convert_to
<double>()));
313 BOOST_CHECK(!boost::math::signbit(zero
.convert_to
<float>()));
314 BOOST_CHECK(!boost::math::signbit(zero
.convert_to
<long double>()));
316 // Conversions to other types of special values:
317 if(std::numeric_limits
<float>::has_infinity
)
319 BOOST_CHECK_EQUAL(inf_val
.convert_to
<float>(), std::numeric_limits
<float>::infinity());
320 BOOST_CHECK_EQUAL((-inf_val
).convert_to
<float>(), -std::numeric_limits
<float>::infinity());
322 if(std::numeric_limits
<float>::has_quiet_NaN
)
324 BOOST_CHECK((boost::math::isnan
)(nan_val
.convert_to
<float>()));
326 if(std::numeric_limits
<double>::has_infinity
)
328 BOOST_CHECK_EQUAL(inf_val
.convert_to
<double>(), std::numeric_limits
<double>::infinity());
329 BOOST_CHECK_EQUAL((-inf_val
).convert_to
<double>(), -std::numeric_limits
<double>::infinity());
331 if(std::numeric_limits
<double>::has_quiet_NaN
)
333 BOOST_CHECK((boost::math::isnan
)(nan_val
.convert_to
<double>()));
335 if(std::numeric_limits
<long double>::has_infinity
)
337 BOOST_CHECK_EQUAL(inf_val
.convert_to
<long double>(), std::numeric_limits
<long double>::infinity());
338 BOOST_CHECK_EQUAL((-inf_val
).convert_to
<long double>(), -std::numeric_limits
<long double>::infinity());
340 if(std::numeric_limits
<long double>::has_quiet_NaN
)
342 BOOST_CHECK((boost::math::isnan
)(nan_val
.convert_to
<long double>()));
345 // Bug https://svn.boost.org/trac/boost/attachment/ticket/12580
349 test_type b
= ldexp(test_type(0.99), -std::numeric_limits
<test_type
>::digits
);
351 good_type gb
= ldexp(good_type(0.99), -std::numeric_limits
<good_type
>::digits
);
352 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
353 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
354 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
355 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
357 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
358 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
359 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
360 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
362 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
363 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
364 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
365 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
367 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
368 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
369 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
370 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
372 b
= ldexp(test_type(0.5), -std::numeric_limits
<test_type
>::digits
);
373 gb
= ldexp(good_type(0.5), -std::numeric_limits
<good_type
>::digits
);
374 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
375 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
376 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
377 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
379 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
380 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
381 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
382 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
384 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
385 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
386 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
387 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
389 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
390 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
391 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
392 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
394 b
= ldexp(test_type(1), -std::numeric_limits
<test_type
>::digits
);
395 gb
= ldexp(good_type(1), -std::numeric_limits
<good_type
>::digits
);
396 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
397 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
398 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
399 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
401 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
402 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
403 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
404 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
406 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
407 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
408 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
409 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
411 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
412 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
413 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
414 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
416 b
= ldexp(test_type(0.50000000001), -std::numeric_limits
<test_type
>::digits
);
417 gb
= ldexp(good_type(0.50000000001), -std::numeric_limits
<good_type
>::digits
);
418 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
419 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
420 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
421 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
423 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
424 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
425 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
426 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
428 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
429 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
430 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
431 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
433 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
434 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
435 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
436 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
438 a
= a
+ ldexp(a
, -20);
439 ga
= ga
+ ldexp(ga
, -20);
440 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
441 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
442 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
443 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
445 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
446 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
447 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
448 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
450 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
451 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
452 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
453 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
455 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
456 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
457 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
458 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
460 b
= ldexp(test_type(0.5), -std::numeric_limits
<test_type
>::digits
);
461 gb
= ldexp(good_type(0.5), -std::numeric_limits
<good_type
>::digits
);
462 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
463 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
464 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
465 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
467 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
468 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
469 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
470 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
472 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
473 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
474 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
475 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
477 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
478 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
479 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
480 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
482 b
= ldexp(test_type(1), -std::numeric_limits
<test_type
>::digits
);
483 gb
= ldexp(good_type(1), -std::numeric_limits
<good_type
>::digits
);
484 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
485 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
486 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
487 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
489 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
490 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
491 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
492 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
494 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
495 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
496 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
497 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
499 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
500 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
501 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
502 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
504 b
= ldexp(test_type(0.50000000001), -std::numeric_limits
<test_type
>::digits
);
505 gb
= ldexp(good_type(0.50000000001), -std::numeric_limits
<good_type
>::digits
);
506 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
507 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
508 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
509 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
511 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
512 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
513 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
514 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
516 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
517 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
518 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
519 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
521 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
522 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
523 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
524 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
527 a
= boost::math::float_prior(a
);
529 ga
= boost::math::float_prior(ga
);
530 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
531 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
532 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
533 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
535 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
536 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
537 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
538 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
540 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
541 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
542 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
543 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
545 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
546 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
547 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
548 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
550 b
= ldexp(test_type(0.5), -std::numeric_limits
<test_type
>::digits
);
551 gb
= ldexp(good_type(0.5), -std::numeric_limits
<good_type
>::digits
);
552 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
553 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
554 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
555 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
557 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
558 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
559 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
560 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
562 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
563 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
564 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
565 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
567 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
568 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
569 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
570 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
572 b
= ldexp(test_type(1), -std::numeric_limits
<test_type
>::digits
);
573 gb
= ldexp(good_type(1), -std::numeric_limits
<good_type
>::digits
);
574 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
575 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
576 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
577 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
579 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
580 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
581 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
582 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
584 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
585 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
586 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
587 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
589 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
590 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
591 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
592 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
594 b
= ldexp(test_type(0.50000000001), -std::numeric_limits
<test_type
>::digits
);
595 gb
= ldexp(good_type(0.50000000001), -std::numeric_limits
<good_type
>::digits
);
596 BOOST_CHECK_EQUAL(good_type(test_type(a
- b
)), good_type(ga
- gb
));
597 BOOST_CHECK_EQUAL(good_type(test_type(b
- a
)), good_type(gb
- ga
));
598 BOOST_CHECK_EQUAL(good_type(test_type(a
+ b
)), good_type(ga
+ gb
));
599 BOOST_CHECK_EQUAL(good_type(test_type(b
+ a
)), good_type(gb
+ ga
));
601 BOOST_CHECK_EQUAL(good_type(test_type(a
- -b
)), good_type(ga
- -gb
));
602 BOOST_CHECK_EQUAL(good_type(test_type(b
- -a
)), good_type(gb
- -ga
));
603 BOOST_CHECK_EQUAL(good_type(test_type(a
+ -b
)), good_type(ga
+ -gb
));
604 BOOST_CHECK_EQUAL(good_type(test_type(b
+ -a
)), good_type(gb
+ -ga
));
606 BOOST_CHECK_EQUAL(good_type(test_type(-a
- b
)), good_type(-ga
- gb
));
607 BOOST_CHECK_EQUAL(good_type(test_type(-b
- a
)), good_type(-gb
- ga
));
608 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ b
)), good_type(-ga
+ gb
));
609 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ a
)), good_type(-gb
+ ga
));
611 BOOST_CHECK_EQUAL(good_type(test_type(-a
- -b
)), good_type(-ga
- -gb
));
612 BOOST_CHECK_EQUAL(good_type(test_type(-b
- -a
)), good_type(-gb
- -ga
));
613 BOOST_CHECK_EQUAL(good_type(test_type(-a
+ -b
)), good_type(-ga
+ -gb
));
614 BOOST_CHECK_EQUAL(good_type(test_type(-b
+ -a
)), good_type(-gb
+ -ga
));
619 test_special_cases();
620 unsigned error_count
= 0;
621 for(unsigned i
= 0; i
< 100000; ++i
)
623 good_type a
= generate_random
<good_type
>();
624 good_type b
= generate_random
<good_type
>();
628 BOOST_CHECK_EQUAL(test_type(a
* b
), ta
* tb
);
629 BOOST_CHECK_EQUAL(test_type(-a
* b
), -ta
* tb
);
630 BOOST_CHECK_EQUAL(test_type(a
* -b
), ta
* -tb
);
631 BOOST_CHECK_EQUAL(test_type(-a
* -b
), -ta
* -tb
);
633 BOOST_CHECK_EQUAL(test_type(a
+ b
), ta
+ tb
);
634 BOOST_CHECK_EQUAL(test_type(-a
+ b
), -ta
+ tb
);
635 BOOST_CHECK_EQUAL(test_type(a
+ -b
), ta
+ -tb
);
636 BOOST_CHECK_EQUAL(test_type(-a
+ -b
), -ta
+ -tb
);
638 BOOST_CHECK_EQUAL(test_type(a
- b
), ta
- tb
);
639 BOOST_CHECK_EQUAL(test_type(-a
- b
), -ta
- tb
);
640 BOOST_CHECK_EQUAL(test_type(a
- -b
), ta
- -tb
);
641 BOOST_CHECK_EQUAL(test_type(-a
- -b
), -ta
- -tb
);
643 BOOST_CHECK_EQUAL(test_type(a
/ b
), ta
/ tb
);
644 BOOST_CHECK_EQUAL(test_type(-a
/ b
), -ta
/ tb
);
645 BOOST_CHECK_EQUAL(test_type(a
/ -b
), ta
/ -tb
);
646 BOOST_CHECK_EQUAL(test_type(-a
/ -b
), -ta
/ -tb
);
648 BOOST_CHECK_EQUAL(test_type(sqrt(a
)), sqrt(ta
));
649 BOOST_CHECK_EQUAL(test_type(floor(a
)), floor(ta
));
650 BOOST_CHECK_EQUAL(test_type(floor(-a
)), floor(-ta
));
651 BOOST_CHECK_EQUAL(test_type(ceil(a
)), ceil(ta
));
652 BOOST_CHECK_EQUAL(test_type(ceil(-a
)), ceil(-ta
));
658 BOOST_CHECK_EQUAL(a
.convert_to
<double>(), ta
.convert_to
<double>());
659 BOOST_CHECK_EQUAL(a
.convert_to
<float>(), ta
.convert_to
<float>());
660 BOOST_CHECK_EQUAL(b
.convert_to
<double>(), tb
.convert_to
<double>());
661 BOOST_CHECK_EQUAL(b
.convert_to
<float>(), tb
.convert_to
<float>());
663 BOOST_CHECK_EQUAL(a
, ta
.convert_to
<double>());
664 BOOST_CHECK_EQUAL(static_cast<float>(a
), ta
.convert_to
<float>());
665 BOOST_CHECK_EQUAL(b
, tb
.convert_to
<double>());
666 BOOST_CHECK_EQUAL(static_cast<float>(b
), tb
.convert_to
<float>());
669 static boost::random::mt19937 i_gen
;
672 BOOST_CHECK_EQUAL(test_type(a
* si
), ta
* si
);
673 BOOST_CHECK_EQUAL(test_type(-a
* si
), -ta
* si
);
674 BOOST_CHECK_EQUAL(test_type(-a
* -si
), -ta
* -si
);
675 BOOST_CHECK_EQUAL(test_type(a
* -si
), ta
* -si
);
676 unsigned ui
= std::abs(si
);
677 BOOST_CHECK_EQUAL(test_type(a
* ui
), ta
* ui
);
678 BOOST_CHECK_EQUAL(test_type(-a
* ui
), -ta
* ui
);
681 BOOST_CHECK_EQUAL(test_type(a
/ si
), ta
/ si
);
682 BOOST_CHECK_EQUAL(test_type(-a
/ si
), -ta
/ si
);
683 BOOST_CHECK_EQUAL(test_type(-a
/ -si
), -ta
/ -si
);
684 BOOST_CHECK_EQUAL(test_type(a
/ -si
), ta
/ -si
);
685 BOOST_CHECK_EQUAL(test_type(a
/ ui
), ta
/ ui
);
686 BOOST_CHECK_EQUAL(test_type(-a
/ ui
), -ta
/ ui
);
688 if(boost::detail::test_errors() != error_count
)
690 error_count
= boost::detail::test_errors();
691 std::cout
<< std::setprecision(std::numeric_limits
<test_type
>::max_digits10
) << std::scientific
;
692 std::cout
<< "a (mpfr) = " << a
<< std::endl
;
693 std::cout
<< "a (test) = " << ta
<< std::endl
;
694 std::cout
<< "b (mpfr) = " << b
<< std::endl
;
695 std::cout
<< "b (test) = " << tb
<< std::endl
;
696 std::cout
<< "si = " << si
<< std::endl
;
697 std::cout
<< "ui = " << ui
<< std::endl
;
700 return boost::report_errors();