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1// Copyright John Maddock 2013.
2
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)
7
8#ifdef _MSC_VER
9# define _SCL_SECURE_NO_WARNINGS
10#endif
11
12#include <boost/multiprecision/cpp_bin_float.hpp>
13#ifdef TEST_MPFR
14#include <boost/multiprecision/mpfr.hpp>
15#endif
16#include <boost/random/mersenne_twister.hpp>
17#include <boost/random/uniform_int.hpp>
18#include "libs/multiprecision/test/test.hpp"
19#include <iostream>
20#include <iomanip>
21
22template <class T>
23T generate_random()
24{
25 typedef int e_type;
26 static boost::random::mt19937 gen;
27 T val = gen();
28 T prev_val = -1;
29 while(val != prev_val)
30 {
31 val *= (gen.max)();
32 prev_val = val;
33 val += gen();
34 }
35 e_type e;
36 val = frexp(val, &e);
37
38 static boost::random::uniform_int_distribution<e_type> ui(-20, 20);
39 return ldexp(val, ui(gen));
40}
41
42
43using namespace boost::multiprecision;
44#ifdef TEST_MPFR
45typedef number<mpfr_float_backend<35> > good_type;
46#else
47typedef double good_type;
48#endif
49typedef number<cpp_bin_float<std::numeric_limits<good_type>::digits, digit_base_2>, et_off> test_type;
50
51void test_special_cases()
52{
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)();
58 test_type half = 0.5;
59 test_type one_point_5 = 1.5;
60
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));
69
70 if(std::numeric_limits<test_type>::has_denorm)
71 min_val = std::numeric_limits<test_type>::denorm_min();
72
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);
84
85 // Overflow:
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);
94 // Underflow:
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);
131
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);
140
141 BOOST_CHECK_EQUAL(sqrt(inf_val), inf_val);
142 BOOST_CHECK(boost::math::isnan(sqrt(-inf_val)));
143
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);
152
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);
161
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));
210 // Corner cases:
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);
219 // Signed zeros:
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;
233 test_type zero = 0;
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));
265 small = 0.25;
266 BOOST_CHECK(!boost::math::signbit(floor(small)));
267 BOOST_CHECK(!boost::math::signbit(round(small)));
268 BOOST_CHECK(!boost::math::signbit(trunc(small)));
269 small = -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)));
273
274
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));
291
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));
308
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>()));
315
316 // Conversions to other types of special values:
317 if(std::numeric_limits<float>::has_infinity)
318 {
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());
321 }
322 if(std::numeric_limits<float>::has_quiet_NaN)
323 {
324 BOOST_CHECK((boost::math::isnan)(nan_val.convert_to<float>()));
325 }
326 if(std::numeric_limits<double>::has_infinity)
327 {
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());
330 }
331 if(std::numeric_limits<double>::has_quiet_NaN)
332 {
333 BOOST_CHECK((boost::math::isnan)(nan_val.convert_to<double>()));
334 }
335 if(std::numeric_limits<long double>::has_infinity)
336 {
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());
339 }
340 if(std::numeric_limits<long double>::has_quiet_NaN)
341 {
342 BOOST_CHECK((boost::math::isnan)(nan_val.convert_to<long double>()));
343 }
b32b8144
FG
344 //
345 // Bug https://svn.boost.org/trac/boost/attachment/ticket/12580
346 //
347 using std::ldexp;
348 test_type a(1);
349 test_type b = ldexp(test_type(0.99), -std::numeric_limits<test_type>::digits);
350 good_type ga(1);
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));
356
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));
361
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));
366
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));
371
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));
378
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));
383
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));
388
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));
393
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));
400
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));
405
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));
410
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));
415
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));
422
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));
427
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));
432
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));
437
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));
444
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));
449
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));
454
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));
459
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));
466
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));
471
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));
476
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));
481
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));
488
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));
493
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));
498
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));
503
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));
510
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));
515
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));
520
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));
525
526 a = 1;
527 a = boost::math::float_prior(a);
528 ga = 1;
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));
534
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));
539
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));
544
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));
549
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));
556
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));
561
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));
566
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));
571
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));
578
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));
583
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));
588
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));
593
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));
600
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));
605
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));
610
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));
7c673cae
FG
615}
616
617int main()
618{
619 test_special_cases();
620 unsigned error_count = 0;
621 for(unsigned i = 0; i < 100000; ++i)
622 {
623 good_type a = generate_random<good_type>();
624 good_type b = generate_random<good_type>();
625 test_type ta(a);
626 test_type tb(b);
627
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);
632
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);
637
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);
642
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);
647
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));
653
654#ifdef TEST_MPFR
655 //
656 // Conversions:
657 //
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>());
662#else
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>());
667#endif
668
669 static boost::random::mt19937 i_gen;
670
671 int si = 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);
679
680 // Divide:
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);
687 // Error reporting:
688 if(boost::detail::test_errors() != error_count)
689 {
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;
698 }
699 }
700 return boost::report_errors();
701}
702