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7c673cae FG |
1 | // (C) Copyright John Maddock 2016. |
2 | // Use, modification and distribution are subject to the | |
3 | // Boost Software License, Version 1.0. (See accompanying file | |
4 | // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) | |
5 | ||
6 | #ifdef _MSC_VER | |
92f5a8d4 | 7 | #pragma warning(disable : 4127) // conditional expression is constant |
7c673cae FG |
8 | #endif |
9 | ||
1e59de90 TL |
10 | #if !defined(TEST_MPF_50) && !defined(TEST_MPF) && !defined(TEST_BACKEND) && !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR) \ |
11 | && !defined(TEST_MPFR_50) && !defined(TEST_MPFI_50) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT) \ | |
12 | && !defined(TEST_CPP_DEC_FLOAT_2) && !defined(TEST_CPP_DEC_FLOAT_3) && !defined(TEST_CPP_DEC_FLOAT_4) \ | |
13 | && !defined(TEST_CPP_DEC_FLOAT_5) && !defined(TEST_CPP_DEC_FLOAT_6) && !defined(TEST_CPP_BIN_FLOAT_2) && !defined(TEST_CPP_BIN_FLOAT_3)\ | |
14 | && !defined(TEST_MPFI_DEBUG_ADAPTOR) && !defined(TEST_MPFR_DEBUG_ADAPTOR) && !defined(TEST_MPFI_LOGGED_ADAPTOR) && !defined(TEST_MPFR_LOGGED_ADAPTOR) | |
92f5a8d4 TL |
15 | #define TEST_MPF_50 |
16 | #define TEST_MPFR_50 | |
17 | #define TEST_MPFI_50 | |
18 | #define TEST_CPP_DEC_FLOAT | |
19 | #define TEST_CPP_DEC_FLOAT_2 | |
20 | #define TEST_CPP_DEC_FLOAT_3 | |
21 | #define TEST_CPP_DEC_FLOAT_4 | |
22 | #define TEST_CPP_DEC_FLOAT_5 | |
23 | #define TEST_CPP_DEC_FLOAT_6 | |
24 | #define TEST_FLOAT128 | |
25 | #define TEST_CPP_BIN_FLOAT | |
26 | #define TEST_CPP_BIN_FLOAT_2 | |
27 | #define TEST_CPP_BIN_FLOAT_3 | |
1e59de90 TL |
28 | #define TEST_MPFI_DEBUG_ADAPTOR |
29 | #define TEST_MPFR_DEBUG_ADAPTOR | |
30 | #define TEST_MPFI_LOGGED_ADAPTOR | |
31 | #define TEST_MPFR_LOGGED_ADAPTOR | |
7c673cae FG |
32 | |
33 | #ifdef _MSC_VER | |
34 | #pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!") | |
35 | #endif | |
36 | #ifdef __GNUC__ | |
37 | #pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!" | |
38 | #endif | |
39 | ||
40 | #endif | |
41 | ||
42 | #if defined(TEST_MPF_50) | |
43 | #include <boost/multiprecision/gmp.hpp> | |
44 | #endif | |
45 | #ifdef TEST_MPFR_50 | |
46 | #include <boost/multiprecision/mpfr.hpp> | |
47 | #endif | |
48 | #ifdef TEST_MPFI_50 | |
49 | #include <boost/multiprecision/mpfi.hpp> | |
50 | #endif | |
92f5a8d4 | 51 | #if defined(TEST_CPP_DEC_FLOAT) || defined(TEST_CPP_DEC_FLOAT_2) || defined(TEST_CPP_DEC_FLOAT_3) || defined(TEST_CPP_DEC_FLOAT_4) || defined(TEST_CPP_DEC_FLOAT_5) || defined(TEST_CPP_DEC_FLOAT_6) |
7c673cae FG |
52 | #include <boost/multiprecision/cpp_dec_float.hpp> |
53 | #endif | |
92f5a8d4 | 54 | #if defined(TEST_CPP_BIN_FLOAT) || defined(TEST_CPP_BIN_FLOAT_2) || defined(TEST_CPP_BIN_FLOAT_3) |
7c673cae | 55 | #include <boost/multiprecision/cpp_bin_float.hpp> |
b32b8144 | 56 | #include <boost/multiprecision/debug_adaptor.hpp> |
7c673cae FG |
57 | #endif |
58 | #ifdef TEST_FLOAT128 | |
59 | #include <boost/multiprecision/float128.hpp> | |
60 | #endif | |
1e59de90 TL |
61 | #ifdef TEST_MPFI_DEBUG_ADAPTOR |
62 | # include <boost/multiprecision/mpfi.hpp> | |
63 | # include <boost/multiprecision/debug_adaptor.hpp> | |
64 | #endif | |
65 | #ifdef TEST_MPFR_DEBUG_ADAPTOR | |
66 | # include <boost/multiprecision/mpfr.hpp> | |
67 | # include <boost/multiprecision/debug_adaptor.hpp> | |
68 | #endif | |
69 | #ifdef TEST_MPFI_LOGGED_ADAPTOR | |
70 | # include <boost/multiprecision/mpfi.hpp> | |
71 | # include <boost/multiprecision/logged_adaptor.hpp> | |
72 | #endif | |
73 | #ifdef TEST_MPFR_LOGGED_ADAPTOR | |
74 | # include <boost/multiprecision/mpfr.hpp> | |
75 | # include <boost/multiprecision/logged_adaptor.hpp> | |
76 | #endif | |
7c673cae | 77 | |
b32b8144 | 78 | #include <boost/math/constants/constants.hpp> |
92f5a8d4 | 79 | #include <boost/math/special_functions/gamma.hpp> |
7c673cae FG |
80 | #include "test.hpp" |
81 | ||
82 | #ifdef signbit | |
83 | #undef signbit | |
84 | #endif | |
85 | #ifdef sign | |
86 | #undef sign | |
87 | #endif | |
88 | #ifdef changesign | |
89 | #undef changesign | |
90 | #endif | |
91 | #ifdef copysign | |
92 | #undef copysign | |
93 | #endif | |
94 | #ifdef fpclassify | |
95 | #undef fpclassify | |
96 | #endif | |
97 | #ifdef isinf | |
98 | #undef isinf | |
99 | #endif | |
100 | #ifdef isnan | |
101 | #undef isnan | |
102 | #endif | |
103 | #ifdef isnormal | |
104 | #undef isnormal | |
105 | #endif | |
106 | ||
b32b8144 FG |
107 | #ifdef MPFR_VERSION_MAJOR |
108 | #define BOOST_MPFR_VERSION MPFR_VERSION_MAJOR * 10000 + MPFR_VERSION_MINOR * 100 + MPFR_VERSION_PATCHLEVEL | |
109 | #endif | |
110 | ||
7c673cae FG |
111 | template <class T, class U> |
112 | void test_less(T a, U b) | |
113 | { | |
114 | BOOST_CHECK(a < b); | |
115 | BOOST_CHECK(a <= b); | |
116 | BOOST_CHECK(!(a > b)); | |
117 | BOOST_CHECK(!(a >= b)); | |
118 | BOOST_CHECK(!(a == b)); | |
119 | BOOST_CHECK((a != b)); | |
120 | ||
121 | BOOST_CHECK(b > a); | |
122 | BOOST_CHECK(b >= a); | |
123 | BOOST_CHECK(!(b < a)); | |
124 | BOOST_CHECK(!(b <= a)); | |
125 | BOOST_CHECK(!(b == a)); | |
126 | BOOST_CHECK((b != a)); | |
127 | ||
128 | BOOST_CHECK(isless(a, b)); | |
129 | BOOST_CHECK(islessequal(a, b)); | |
130 | BOOST_CHECK(!isgreater(a, b)); | |
131 | BOOST_CHECK(!isgreaterequal(a, b)); | |
132 | BOOST_CHECK(islessgreater(a, b)); | |
133 | ||
134 | BOOST_CHECK(!isless(b, a)); | |
135 | BOOST_CHECK(!islessequal(b, a)); | |
136 | BOOST_CHECK(isgreater(b, a)); | |
137 | BOOST_CHECK(isgreaterequal(b, a)); | |
138 | BOOST_CHECK(islessgreater(b, a)); | |
139 | } | |
140 | template <class T, class U> | |
141 | void test_equal(T a, U b) | |
142 | { | |
143 | BOOST_CHECK(!(a < b)); | |
144 | BOOST_CHECK(a <= b); | |
145 | BOOST_CHECK(!(a > b)); | |
146 | BOOST_CHECK((a >= b)); | |
147 | BOOST_CHECK((a == b)); | |
148 | BOOST_CHECK(!(a != b)); | |
149 | ||
150 | BOOST_CHECK(!(b > a)); | |
151 | BOOST_CHECK(b >= a); | |
152 | BOOST_CHECK(!(b < a)); | |
153 | BOOST_CHECK((b <= a)); | |
154 | BOOST_CHECK((b == a)); | |
155 | BOOST_CHECK(!(b != a)); | |
156 | ||
157 | BOOST_CHECK(!isless(a, b)); | |
158 | BOOST_CHECK(islessequal(a, b)); | |
159 | BOOST_CHECK(!isgreater(a, b)); | |
160 | BOOST_CHECK(isgreaterequal(a, b)); | |
161 | BOOST_CHECK(!islessgreater(a, b)); | |
162 | ||
163 | BOOST_CHECK(!isless(b, a)); | |
164 | BOOST_CHECK(islessequal(b, a)); | |
165 | BOOST_CHECK(!isgreater(b, a)); | |
166 | BOOST_CHECK(isgreaterequal(b, a)); | |
167 | BOOST_CHECK(!islessgreater(b, a)); | |
168 | } | |
169 | template <class T, class U> | |
170 | void test_unordered(T a, U b) | |
171 | { | |
172 | BOOST_CHECK(!(a < b)); | |
173 | BOOST_CHECK(!(a <= b)); | |
174 | BOOST_CHECK(!(a > b)); | |
175 | BOOST_CHECK(!(a >= b)); | |
176 | BOOST_CHECK(!(a == b)); | |
177 | BOOST_CHECK((a != b)); | |
178 | ||
179 | BOOST_CHECK(!(b > a)); | |
180 | BOOST_CHECK(!(b >= a)); | |
181 | BOOST_CHECK(!(b < a)); | |
182 | BOOST_CHECK(!(b <= a)); | |
183 | BOOST_CHECK(!(b == a)); | |
184 | BOOST_CHECK((b != a)); | |
185 | ||
186 | BOOST_CHECK(!isless(a, b)); | |
187 | BOOST_CHECK(!islessequal(a, b)); | |
188 | BOOST_CHECK(!isgreater(a, b)); | |
189 | BOOST_CHECK(!isgreaterequal(a, b)); | |
190 | BOOST_CHECK(!islessgreater(a, b)); | |
191 | ||
192 | BOOST_CHECK(!isless(b, a)); | |
193 | BOOST_CHECK(!islessequal(b, a)); | |
194 | BOOST_CHECK(!isgreater(b, a)); | |
195 | BOOST_CHECK(!isgreaterequal(b, a)); | |
196 | BOOST_CHECK(!islessgreater(b, a)); | |
197 | } | |
198 | ||
199 | template <class T> | |
200 | void test() | |
201 | { | |
202 | // | |
203 | // Basic sanity checks for C99 functions which are just imported versions | |
204 | // from Boost.Math. These should still be found via ADL so no using declarations here... | |
205 | // | |
206 | T val = 2; | |
207 | BOOST_CHECK(signbit(val) == 0); | |
208 | BOOST_CHECK(signbit(val + 2) == 0); | |
209 | val = -val; | |
210 | BOOST_CHECK(signbit(val)); | |
211 | BOOST_CHECK(signbit(val * 2)); | |
212 | ||
213 | val = 2; | |
214 | BOOST_CHECK_EQUAL(sign(val), 1); | |
215 | BOOST_CHECK_EQUAL(sign(val + 2), 1); | |
216 | val = -val; | |
217 | BOOST_CHECK_EQUAL(sign(val), -1); | |
218 | BOOST_CHECK_EQUAL(sign(val * 2), -1); | |
219 | val = 0; | |
220 | BOOST_CHECK_EQUAL(sign(val), 0); | |
221 | BOOST_CHECK_EQUAL(sign(val * 2), 0); | |
222 | ||
223 | val = 2; | |
224 | BOOST_CHECK_EQUAL(changesign(val), -2); | |
225 | BOOST_CHECK_EQUAL(changesign(val * 2), -4); | |
226 | val = -2; | |
227 | BOOST_CHECK_EQUAL(changesign(val), 2); | |
228 | BOOST_CHECK_EQUAL(changesign(val * 2), 4); | |
229 | val = 0; | |
230 | BOOST_CHECK_EQUAL(changesign(val), 0); | |
231 | BOOST_CHECK_EQUAL(changesign(val * 2), 0); | |
232 | // Things involving signed zero, need to detect it first: | |
233 | T neg_zero_test = -(std::numeric_limits<T>::min)(); | |
234 | neg_zero_test /= (std::numeric_limits<T>::max)(); | |
92f5a8d4 | 235 | T one(1); |
7c673cae | 236 | bool test_signed_zero = !boost::multiprecision::is_interval_number<T>::value && std::numeric_limits<T>::has_infinity && (one / neg_zero_test < 0); |
92f5a8d4 | 237 | if (test_signed_zero) |
7c673cae FG |
238 | { |
239 | BOOST_CHECK(signbit(changesign(val))); | |
240 | BOOST_CHECK(signbit(changesign(val * 2))); | |
241 | } | |
242 | ||
243 | T s = 2; | |
244 | val = 3; | |
245 | BOOST_CHECK_EQUAL(copysign(val, s), 3); | |
246 | BOOST_CHECK_EQUAL(copysign(val, s * -2), -3); | |
247 | BOOST_CHECK_EQUAL(copysign(-2 * val, s), 6); | |
248 | BOOST_CHECK_EQUAL(copysign(-2 * val, 2 * s), 6); | |
249 | s = -2; | |
250 | BOOST_CHECK_EQUAL(copysign(val, s), -3); | |
251 | BOOST_CHECK_EQUAL(copysign(val, s * -2), 3); | |
252 | BOOST_CHECK_EQUAL(copysign(-2 * val, s), -6); | |
253 | BOOST_CHECK_EQUAL(copysign(-2 * val, 2 * s), -6); | |
254 | val = -3; | |
255 | BOOST_CHECK_EQUAL(copysign(val, s), -3); | |
256 | BOOST_CHECK_EQUAL(copysign(val, s * -2), 3); | |
257 | BOOST_CHECK_EQUAL(copysign(-2 * val, s), -6); | |
258 | BOOST_CHECK_EQUAL(copysign(-2 * val, 2 * s), -6); | |
259 | s = 0; | |
260 | BOOST_CHECK_EQUAL(copysign(val, s), 3); | |
261 | // Things involving signed zero, need to detect it first: | |
92f5a8d4 | 262 | if (test_signed_zero) |
7c673cae FG |
263 | { |
264 | BOOST_CHECK_EQUAL(copysign(val, s * -2), -3); | |
265 | } | |
266 | BOOST_CHECK_EQUAL(copysign(-2 * val, s), 6); | |
267 | BOOST_CHECK_EQUAL(copysign(-2 * val, 2 * s), 6); | |
268 | // Things involving signed zero, need to detect it first: | |
92f5a8d4 | 269 | if (test_signed_zero) |
7c673cae FG |
270 | { |
271 | s = changesign(s); | |
92f5a8d4 | 272 | if (signbit(s)) |
7c673cae FG |
273 | { |
274 | BOOST_CHECK_EQUAL(copysign(val, s), -3); | |
275 | BOOST_CHECK_EQUAL(copysign(val, s * -2), 3); | |
276 | BOOST_CHECK_EQUAL(copysign(-2 * val, s), -6); | |
277 | BOOST_CHECK_EQUAL(copysign(-2 * val, 2 * s), -6); | |
278 | } | |
279 | } | |
280 | ||
281 | val = 3; | |
282 | BOOST_CHECK_EQUAL(fpclassify(val), FP_NORMAL); | |
283 | BOOST_CHECK_EQUAL(fpclassify(val * 3), FP_NORMAL); | |
284 | BOOST_CHECK(!isinf(val)); | |
285 | BOOST_CHECK(!isinf(val + 2)); | |
286 | BOOST_CHECK(!isnan(val)); | |
287 | BOOST_CHECK(!isnan(val + 2)); | |
288 | BOOST_CHECK(isnormal(val)); | |
289 | BOOST_CHECK(isnormal(val + 2)); | |
290 | val = -3; | |
291 | BOOST_CHECK_EQUAL(fpclassify(val), FP_NORMAL); | |
292 | BOOST_CHECK_EQUAL(fpclassify(val * 3), FP_NORMAL); | |
293 | BOOST_CHECK(!isinf(val)); | |
294 | BOOST_CHECK(!isinf(val + 2)); | |
295 | BOOST_CHECK(!isnan(val)); | |
296 | BOOST_CHECK(!isnan(val + 2)); | |
297 | BOOST_CHECK(isnormal(val)); | |
298 | BOOST_CHECK(isnormal(val + 2)); | |
299 | val = 0; | |
300 | BOOST_CHECK_EQUAL(fpclassify(val), FP_ZERO); | |
301 | BOOST_CHECK_EQUAL(fpclassify(val * 3), FP_ZERO); | |
302 | BOOST_CHECK(!isinf(val)); | |
303 | BOOST_CHECK(!isinf(val + 2)); | |
304 | BOOST_CHECK(!isnan(val)); | |
305 | BOOST_CHECK(!isnan(val + 2)); | |
306 | BOOST_CHECK(!isnormal(val)); | |
307 | BOOST_CHECK(!isnormal(val * 2)); | |
308 | BOOST_CHECK(!isnormal(val * -2)); | |
92f5a8d4 | 309 | if (std::numeric_limits<T>::has_infinity) |
7c673cae FG |
310 | { |
311 | val = std::numeric_limits<T>::infinity(); | |
312 | BOOST_CHECK_EQUAL(fpclassify(val), FP_INFINITE); | |
313 | BOOST_CHECK_EQUAL(fpclassify(val * 3), FP_INFINITE); | |
314 | BOOST_CHECK(isinf(val)); | |
315 | BOOST_CHECK(isinf(val + 2)); | |
316 | BOOST_CHECK(!isnan(val)); | |
317 | BOOST_CHECK(!isnan(val + 2)); | |
318 | BOOST_CHECK(!isnormal(val)); | |
319 | BOOST_CHECK(!isnormal(val + 2)); | |
320 | val = -val; | |
321 | BOOST_CHECK_EQUAL(fpclassify(val), FP_INFINITE); | |
322 | BOOST_CHECK_EQUAL(fpclassify(val * 3), FP_INFINITE); | |
323 | BOOST_CHECK(isinf(val)); | |
324 | BOOST_CHECK(isinf(val + 2)); | |
325 | BOOST_CHECK(!isnan(val)); | |
326 | BOOST_CHECK(!isnan(val + 2)); | |
327 | BOOST_CHECK(!isnormal(val)); | |
328 | BOOST_CHECK(!isnormal(val + 2)); | |
329 | } | |
92f5a8d4 | 330 | if (std::numeric_limits<T>::has_quiet_NaN) |
7c673cae | 331 | { |
92f5a8d4 | 332 | val = std::numeric_limits<T>::quiet_NaN(); |
7c673cae FG |
333 | BOOST_CHECK_EQUAL(fpclassify(val), FP_NAN); |
334 | BOOST_CHECK_EQUAL(fpclassify(val * 3), FP_NAN); | |
335 | BOOST_CHECK(!isinf(val)); | |
336 | BOOST_CHECK(!isinf(val + 2)); | |
337 | BOOST_CHECK(isnan(val)); | |
338 | BOOST_CHECK(isnan(val + 2)); | |
339 | BOOST_CHECK(!isnormal(val)); | |
340 | BOOST_CHECK(!isnormal(val + 2)); | |
341 | } | |
92f5a8d4 | 342 | s = 8 * std::numeric_limits<T>::epsilon(); |
7c673cae FG |
343 | val = 2.5; |
344 | BOOST_CHECK_CLOSE_FRACTION(asinh(val), T("1.6472311463710957106248586104436196635044144301932365282203100930843983757633104078778420255069424907777006132075516484778755360595913172299093829522950397895699619540523579875476513967578478619028438291006578604823887119907434"), s); | |
345 | BOOST_CHECK_CLOSE_FRACTION(asinh(val + T(0)), T("1.6472311463710957106248586104436196635044144301932365282203100930843983757633104078778420255069424907777006132075516484778755360595913172299093829522950397895699619540523579875476513967578478619028438291006578604823887119907434"), s); | |
346 | BOOST_CHECK_CLOSE_FRACTION(acosh(val), T("1.5667992369724110786640568625804834938620823510926588639329459980122148134693922696279968499622201141051039184050936311066453565386393240356562374302417843319480223211857615778787272615171906055455922537080327062362258846337050"), s); | |
347 | BOOST_CHECK_CLOSE_FRACTION(acosh(val + T(0)), T("1.5667992369724110786640568625804834938620823510926588639329459980122148134693922696279968499622201141051039184050936311066453565386393240356562374302417843319480223211857615778787272615171906055455922537080327062362258846337050"), s); | |
348 | val = 0.5; | |
349 | BOOST_CHECK_CLOSE_FRACTION(atanh(val), T("0.5493061443340548456976226184612628523237452789113747258673471668187471466093044834368078774068660443939850145329789328711840021129652599105264009353836387053015813845916906835896868494221804799518712851583979557605727959588753"), s); | |
350 | BOOST_CHECK_CLOSE_FRACTION(atanh(val + T(0)), T("0.5493061443340548456976226184612628523237452789113747258673471668187471466093044834368078774068660443939850145329789328711840021129652599105264009353836387053015813845916906835896868494221804799518712851583979557605727959588753"), s); | |
351 | val = 55.25; | |
352 | BOOST_CHECK_CLOSE_FRACTION(cbrt(val), T("3.8087058015466360309383876359583281382991983919300128125378938779672144843676192684301168479657279498120767424724024965319869248797423276064015643361426189576415670917818313417529572608229017809069355688606687557031643655896118"), s); | |
353 | BOOST_CHECK_CLOSE_FRACTION(cbrt(val + T(0)), T("3.8087058015466360309383876359583281382991983919300128125378938779672144843676192684301168479657279498120767424724024965319869248797423276064015643361426189576415670917818313417529572608229017809069355688606687557031643655896118"), s); | |
92f5a8d4 | 354 | if (!boost::multiprecision::is_interval_number<T>::value) |
7c673cae FG |
355 | { |
356 | val = 2.75; | |
357 | BOOST_CHECK_CLOSE_FRACTION(erf(val), T("0.9998993780778803631630956080249130432349352621422640655161095794654526422025908961447328296681056892975214344779300734620255391682713519265048496199034963706976420982849598189071465666866369396765001072187538732800143945532487"), s); | |
358 | BOOST_CHECK_CLOSE_FRACTION(erf(val + T(0)), T("0.9998993780778803631630956080249130432349352621422640655161095794654526422025908961447328296681056892975214344779300734620255391682713519265048496199034963706976420982849598189071465666866369396765001072187538732800143945532487"), s); | |
359 | BOOST_CHECK_CLOSE_FRACTION(erfc(val), T("0.0001006219221196368369043919750869567650647378577359344838904205345473577974091038552671703318943107024785655220699265379744608317286480734951503800965036293023579017150401810928534333133630603234998927812461267199856054467512"), s); | |
360 | BOOST_CHECK_CLOSE_FRACTION(erfc(val + T(0)), T("0.0001006219221196368369043919750869567650647378577359344838904205345473577974091038552671703318943107024785655220699265379744608317286480734951503800965036293023579017150401810928534333133630603234998927812461267199856054467512"), s); | |
361 | } | |
362 | val = 0.125; | |
363 | BOOST_CHECK_CLOSE_FRACTION(expm1(val), T("0.1331484530668263168290072278117938725655031317451816259128200360788235778800483865139399907949417285732315270156473075657048210452584733998785564025916995261162759280700397984729320345630340659469435372721057879969170503978449"), s); | |
364 | BOOST_CHECK_CLOSE_FRACTION(expm1(val + T(0)), T("0.1331484530668263168290072278117938725655031317451816259128200360788235778800483865139399907949417285732315270156473075657048210452584733998785564025916995261162759280700397984729320345630340659469435372721057879969170503978449"), s); | |
365 | ||
366 | val = 20; | |
92f5a8d4 | 367 | s = 2; |
7c673cae FG |
368 | BOOST_CHECK_EQUAL(fdim(val, s), 18); |
369 | BOOST_CHECK_EQUAL(fdim(s, val), 0); | |
370 | BOOST_CHECK_EQUAL(fdim(val, s * 2), 16); | |
371 | BOOST_CHECK_EQUAL(fdim(s * 2, val), 0); | |
372 | BOOST_CHECK_EQUAL(fdim(val, 2), 18); | |
373 | BOOST_CHECK_EQUAL(fdim(2, val), 0); | |
374 | ||
375 | BOOST_CHECK_EQUAL(fmax(val, s), val); | |
376 | BOOST_CHECK_EQUAL(fmax(s, val), val); | |
377 | BOOST_CHECK_EQUAL(fmax(val * 2, s), val * 2); | |
378 | BOOST_CHECK_EQUAL(fmax(val, s * 2), val); | |
379 | BOOST_CHECK_EQUAL(fmax(val * 2, s * 2), val * 2); | |
380 | BOOST_CHECK_EQUAL(fmin(val, s), s); | |
381 | BOOST_CHECK_EQUAL(fmin(s, val), s); | |
382 | BOOST_CHECK_EQUAL(fmin(val * 2, s), s); | |
383 | BOOST_CHECK_EQUAL(fmin(val, s * 2), s * 2); | |
384 | BOOST_CHECK_EQUAL(fmin(val * 2, s * 2), s * 2); | |
385 | ||
386 | BOOST_CHECK_EQUAL(fmax(val, 2), val); | |
387 | BOOST_CHECK_EQUAL(fmax(val, 2.0), val); | |
388 | BOOST_CHECK_EQUAL(fmax(20, s), val); | |
389 | BOOST_CHECK_EQUAL(fmax(20.0, s), val); | |
390 | BOOST_CHECK_EQUAL(fmin(val, 2), s); | |
391 | BOOST_CHECK_EQUAL(fmin(val, 2.0), s); | |
392 | BOOST_CHECK_EQUAL(fmin(20, s), s); | |
393 | BOOST_CHECK_EQUAL(fmin(20.0, s), s); | |
92f5a8d4 | 394 | if (std::numeric_limits<T>::has_quiet_NaN) |
7c673cae FG |
395 | { |
396 | BOOST_CHECK_EQUAL(fmax(val, std::numeric_limits<T>::quiet_NaN()), val); | |
397 | BOOST_CHECK_EQUAL(fmax(std::numeric_limits<T>::quiet_NaN(), val), val); | |
398 | BOOST_CHECK_EQUAL(fmin(val, std::numeric_limits<T>::quiet_NaN()), val); | |
399 | BOOST_CHECK_EQUAL(fmin(std::numeric_limits<T>::quiet_NaN(), val), val); | |
400 | } | |
92f5a8d4 | 401 | if (std::numeric_limits<double>::has_quiet_NaN) |
7c673cae FG |
402 | { |
403 | BOOST_CHECK_EQUAL(fmax(val, std::numeric_limits<double>::quiet_NaN()), val); | |
404 | BOOST_CHECK_EQUAL(fmax(std::numeric_limits<double>::quiet_NaN(), val), val); | |
405 | BOOST_CHECK_EQUAL(fmin(val, std::numeric_limits<double>::quiet_NaN()), val); | |
406 | BOOST_CHECK_EQUAL(fmin(std::numeric_limits<double>::quiet_NaN(), val), val); | |
407 | } | |
408 | ||
409 | test_less(s, val); | |
410 | test_less(2, val); | |
411 | test_less(s, 20); | |
412 | test_less(s + 0, val); | |
413 | test_less(s, val * 1); | |
414 | test_less(s * 1, val * 1); | |
415 | test_less(s * 1, 20); | |
416 | test_less(s + 2, val * 2); | |
417 | ||
418 | test_equal(val, val); | |
419 | test_equal(20, val); | |
420 | test_equal(val, 20); | |
421 | test_equal(val + 0, val); | |
422 | test_equal(val, val * 1); | |
423 | test_equal(val * 1, val * 1); | |
424 | test_equal(val * 1, 20); | |
425 | test_equal(val * 20, val * 20); | |
426 | ||
92f5a8d4 | 427 | if (std::numeric_limits<T>::has_quiet_NaN) |
7c673cae FG |
428 | { |
429 | s = std::numeric_limits<T>::quiet_NaN(); | |
430 | test_unordered(s, val); | |
431 | test_unordered(s, 20); | |
432 | test_unordered(s + 0, val); | |
433 | test_unordered(s, val * 1); | |
434 | test_unordered(s * 1, val * 1); | |
435 | test_unordered(s * 1, 20); | |
436 | test_unordered(s + 2, val * 2); | |
92f5a8d4 | 437 | if (std::numeric_limits<double>::has_quiet_NaN) |
7c673cae FG |
438 | { |
439 | double n = std::numeric_limits<double>::quiet_NaN(); | |
440 | test_unordered(n, val); | |
441 | } | |
442 | } | |
443 | ||
444 | T tol = 8 * std::numeric_limits<T>::epsilon(); | |
92f5a8d4 | 445 | s = 2; |
7c673cae FG |
446 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(val, s)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); |
447 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(val, 2)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
448 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(val, 2.0)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
449 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(20, s)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
450 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(20.0, s)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
451 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(val * 1, s)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
452 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(val * 1, s * 1)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
453 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(val * 1, 2)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
454 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(val * 1, 2.0)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
455 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(20, s * 1)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
456 | BOOST_CHECK_CLOSE_FRACTION(T(hypot(20.0, s * 1)), T("20.099751242241780540438529825519152373890046940052754581145656594656982463103940762472355384907904704732599006530"), tol); | |
457 | ||
458 | BOOST_CHECK_CLOSE_FRACTION(lgamma(val), T("39.339884187199494036224652394567381081691457206897853119937969989377572554993874476249340525204204720861169039582"), tol); | |
459 | BOOST_CHECK_CLOSE_FRACTION(lgamma(val + 0), T("39.339884187199494036224652394567381081691457206897853119937969989377572554993874476249340525204204720861169039582"), tol); | |
460 | ||
461 | BOOST_CHECK_EQUAL(lrint(val), 20); | |
462 | BOOST_CHECK_EQUAL(lrint(val * 2), 40); | |
463 | BOOST_CHECK_EQUAL(llrint(val), 20); | |
464 | BOOST_CHECK_EQUAL(llrint(val * 2), 40); | |
465 | ||
466 | val = 0.125; | |
467 | BOOST_CHECK_CLOSE_FRACTION(log1p(val), T("0.117783035656383454538794109470521705068480712564733141107348638794807720528133786929641528638208114949935615070"), tol); | |
468 | BOOST_CHECK_CLOSE_FRACTION(log1p(val + 0), T("0.117783035656383454538794109470521705068480712564733141107348638794807720528133786929641528638208114949935615070"), tol); | |
469 | val = 20; | |
470 | BOOST_CHECK_CLOSE_FRACTION(T(log2(val)), T("4.321928094887362347870319429489390175864831393024580612054756395815934776608625215850139743359370155099657371710"), tol); | |
471 | BOOST_CHECK_CLOSE_FRACTION(T(log2(val + 0)), T("4.321928094887362347870319429489390175864831393024580612054756395815934776608625215850139743359370155099657371710"), tol); | |
472 | ||
473 | BOOST_CHECK_EQUAL(T(nearbyint(val)), 20); | |
474 | BOOST_CHECK_EQUAL(T(nearbyint(val + 0.25)), 20); | |
475 | BOOST_CHECK_EQUAL(T(rint(val)), 20); | |
476 | BOOST_CHECK_EQUAL(T(rint(val + 0.25)), 20); | |
477 | ||
478 | BOOST_CHECK_GT(nextafter(val, T(200)), val); | |
479 | BOOST_CHECK_GT(nextafter(val + 0, T(200)), val); | |
480 | BOOST_CHECK_GT(nextafter(val + 0, T(200) + 1), val); | |
481 | BOOST_CHECK_GT(nextafter(val, T(200) + 1), val); | |
482 | ||
483 | BOOST_CHECK_GT(nexttoward(val, T(200)), val); | |
484 | BOOST_CHECK_GT(nexttoward(val + 0, T(200)), val); | |
485 | BOOST_CHECK_GT(nexttoward(val + 0, T(200) + 1), val); | |
486 | BOOST_CHECK_GT(nexttoward(val, T(200) + 1), val); | |
487 | ||
488 | val = 21; | |
92f5a8d4 | 489 | s = 5; |
7c673cae FG |
490 | BOOST_CHECK_EQUAL(T(remainder(val, s)), 1); |
491 | BOOST_CHECK_EQUAL(T(remainder(val, 5)), 1); | |
492 | BOOST_CHECK_EQUAL(T(remainder(21, s)), 1); | |
493 | BOOST_CHECK_EQUAL(T(remainder(val * 1, s)), 1); | |
494 | BOOST_CHECK_EQUAL(T(remainder(val * 1, s * 1)), 1); | |
495 | BOOST_CHECK_EQUAL(T(remainder(val, s * 1)), 1); | |
496 | BOOST_CHECK_EQUAL(T(remainder(val * 1, 5)), 1); | |
497 | BOOST_CHECK_EQUAL(T(remainder(21, s * 1)), 1); | |
498 | int i(0); | |
499 | BOOST_CHECK_EQUAL(T(remquo(val, s, &i)), 1); | |
500 | BOOST_CHECK_EQUAL(i, 4); | |
501 | i = 0; | |
502 | BOOST_CHECK_EQUAL(T(remquo(val, 5, &i)), 1); | |
503 | BOOST_CHECK_EQUAL(i, 4); | |
504 | i = 0; | |
505 | BOOST_CHECK_EQUAL(T(remquo(21, s, &i)), 1); | |
506 | BOOST_CHECK_EQUAL(i, 4); | |
507 | i = 0; | |
508 | BOOST_CHECK_EQUAL(T(remquo(val * 1, s, &i)), 1); | |
509 | BOOST_CHECK_EQUAL(i, 4); | |
510 | i = 0; | |
511 | BOOST_CHECK_EQUAL(T(remquo(val * 1, s * 1, &i)), 1); | |
512 | BOOST_CHECK_EQUAL(i, 4); | |
513 | i = 0; | |
514 | BOOST_CHECK_EQUAL(T(remquo(val, s * 1, &i)), 1); | |
515 | BOOST_CHECK_EQUAL(i, 4); | |
516 | i = 0; | |
517 | BOOST_CHECK_EQUAL(T(remquo(val * 1, 5, &i)), 1); | |
518 | BOOST_CHECK_EQUAL(i, 4); | |
519 | i = 0; | |
520 | BOOST_CHECK_EQUAL(T(remquo(21, s * 1, &i)), 1); | |
521 | BOOST_CHECK_EQUAL(i, 4); | |
92f5a8d4 | 522 | i = 0; |
7c673cae FG |
523 | val = 5.25; |
524 | tol = 3000; | |
525 | BOOST_CHECK_CLOSE_FRACTION(tgamma(val), T("35.211611852799685705225257690531248115026311138908448314086859575901217653313145619623624570033258659272301335544"), tol); | |
526 | BOOST_CHECK_CLOSE_FRACTION(tgamma(val + 1), T("184.86096222719834995243260287528905260388813347926935364895601277348139267989401450302402899267460796117958201160"), tol); | |
527 | ||
528 | BOOST_CHECK_CLOSE_FRACTION(T(exp2(val)), T("38.054627680087074134959999057935229289375106958842157216608071191022933383261349115865003025220405558913196632792"), tol); | |
529 | BOOST_CHECK_CLOSE_FRACTION(T(exp2(val + 1)), T("76.109255360174148269919998115870458578750213917684314433216142382045866766522698231730006050440811117826393265585"), tol); | |
530 | val = 15; | |
531 | BOOST_CHECK_CLOSE_FRACTION(T(exp2(val)), T(32768uL), tol); | |
532 | BOOST_CHECK_CLOSE_FRACTION(T(exp2(val + 1)), T(65536uL), tol); | |
533 | ||
92f5a8d4 | 534 | i = fpclassify(val) + isgreaterequal(val, s) + islessequal(val, s) + isnan(val) + isunordered(val, s) + isfinite(val) + isinf(val) + islessgreater(val, s) + isnormal(val) + signbit(val) + isgreater(val, s) + isless(val, s); |
7c673cae FG |
535 | } |
536 | ||
537 | template <class T> | |
538 | void test_poison() | |
539 | { | |
540 | // use these macros as proxies for determining C99 support: | |
541 | #if defined(FP_ILOGB0) && defined(FP_INFINITE) | |
542 | // | |
543 | // These tests verify that our function overloads for Boost.Multiprecision | |
544 | // don't do anything nasty to the std:: overloads for built in types: | |
545 | // | |
546 | using namespace std; | |
547 | using namespace boost::multiprecision; | |
548 | //using namespace boost::math; | |
549 | ||
92f5a8d4 | 550 | T a(2), b(0.3f), c(4), result(0); |
7c673cae FG |
551 | int i; |
552 | ||
553 | result += abs(a); | |
554 | result += cosh(a); | |
555 | result += fmod(a, b); | |
556 | result += logb(a); | |
557 | result += remquo(a, b, &i); | |
558 | result += acos(b); | |
559 | result += erf(a); | |
560 | result += frexp(a, &i); | |
561 | result += lrint(a); | |
562 | result += rint(a); | |
563 | result += acosh(b); | |
564 | result += erfc(b); | |
565 | result += hypot(a, b); | |
566 | result += lround(c); | |
567 | result += round(c); | |
568 | result += asin(b); | |
569 | result += exp2(a); | |
570 | result += ilogb(b); | |
571 | result += modf(a, &b); | |
572 | result += scalbln(a, i); | |
573 | result += asinh(b); | |
574 | result += exp(b); | |
575 | result += ldexp(a, i); | |
576 | result += scalbn(a, i); | |
577 | result += atan(b); | |
578 | result += expm1(a); | |
579 | result += lgamma(a); | |
580 | result += sin(b); | |
581 | result += atan2(a, c); | |
582 | result += fabs(a); | |
583 | result += llrint(a); | |
584 | result += sinh(b); | |
585 | result += atanh(b); | |
586 | result += fdim(a, b); | |
587 | result += llround(a); | |
588 | result += nearbyint(a); | |
589 | result += sqrt(b); | |
590 | result += cbrt(a); | |
591 | result += floor(b); | |
592 | result += log(a); | |
593 | result += nextafter(a, b); | |
594 | result += tan(b); | |
595 | result += ceil(b); | |
596 | result += fma(a, b, c); | |
597 | result += log10(a); | |
598 | result += nexttoward(a, b); | |
599 | result += tanh(a); | |
600 | result += copysign(a, b); | |
601 | result += fmax(a, b); | |
602 | result += log1p(a); | |
603 | result += pow(a, b); | |
604 | result += tgamma(a); | |
605 | result += cos(b); | |
606 | result += fmin(a, b); | |
607 | result += log2(a); | |
608 | result += remainder(a, b); | |
609 | result += trunc(b); | |
92f5a8d4 TL |
610 | result += (min)(a, b); |
611 | result += (max)(a, b); | |
7c673cae FG |
612 | |
613 | #if !BOOST_WORKAROUND(BOOST_LIBSTDCXX_VERSION, < 60000) | |
614 | ||
92f5a8d4 | 615 | i = fpclassify(a) + isgreaterequal(a, b) + islessequal(a, b) + isnan(a) + isunordered(a, b) + isfinite(a) + isinf(a) + islessgreater(a, b) + isnormal(a) + signbit(a) + isgreater(a, b) + isless(a, b); |
7c673cae FG |
616 | #endif |
617 | #endif | |
618 | } | |
619 | ||
b32b8144 FG |
620 | template <class T> |
621 | bool type_sets_errno(const T&) | |
622 | { | |
623 | return true; | |
624 | } | |
625 | #ifdef TEST_MPFR_50 | |
92f5a8d4 TL |
626 | template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates> |
627 | bool type_sets_errno(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>&) | |
b32b8144 FG |
628 | { |
629 | return false; | |
630 | } | |
631 | #endif | |
1e59de90 TL |
632 | #ifdef TEST_MPFR_DEBUG_ADAPTOR |
633 | template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates> | |
634 | bool type_sets_errno(const boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates>&) | |
635 | { | |
636 | return false; | |
637 | } | |
638 | #endif | |
639 | #ifdef TEST_MPFI_DEBUG_ADAPTOR | |
640 | template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates> | |
641 | bool type_sets_errno(const boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfi_float_backend<Digits10> >, ExpressionTemplates>&) | |
642 | { | |
643 | return false; | |
644 | } | |
645 | #endif | |
646 | #ifdef TEST_MPFR_LOGGED_ADAPTOR | |
647 | template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates> | |
648 | bool type_sets_errno(const boost::multiprecision::number<boost::multiprecision::logged_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates>&) | |
649 | { | |
650 | return false; | |
651 | } | |
652 | #endif | |
653 | #ifdef TEST_MPFI_LOGGED_ADAPTOR | |
654 | template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates> | |
655 | bool type_sets_errno(const boost::multiprecision::number<boost::multiprecision::logged_adaptor<boost::multiprecision::mpfi_float_backend<Digits10> >, ExpressionTemplates>&) | |
656 | { | |
657 | return false; | |
658 | } | |
659 | #endif | |
b32b8144 | 660 | #ifdef TEST_FLOAT128 |
92f5a8d4 | 661 | bool type_sets_errno(const boost::multiprecision::float128&) |
b32b8144 FG |
662 | { |
663 | return false; | |
664 | } | |
665 | #endif | |
666 | ||
667 | template <class T> | |
1e59de90 | 668 | typename std::enable_if<std::numeric_limits<T>::is_specialized>::type check_invalid(const T& val) |
b32b8144 | 669 | { |
92f5a8d4 | 670 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
671 | { |
672 | BOOST_CHECK(isnan(val)); | |
673 | } | |
674 | else | |
675 | { | |
676 | BOOST_CHECK_EQUAL(val, 0); | |
677 | } | |
92f5a8d4 | 678 | if (type_sets_errno(val)) |
b32b8144 FG |
679 | BOOST_CHECK_EQUAL(errno, EDOM); |
680 | errno = 0; | |
681 | } | |
682 | ||
683 | template <class T> | |
1e59de90 | 684 | typename std::enable_if<!std::numeric_limits<T>::is_specialized>::type check_invalid(const T& val) |
b32b8144 FG |
685 | { |
686 | check_invalid(static_cast<typename T::result_type>(val)); | |
687 | } | |
688 | ||
689 | template <class T> | |
690 | void check_erange(const T& val) | |
691 | { | |
92f5a8d4 | 692 | if (type_sets_errno(val)) |
b32b8144 FG |
693 | BOOST_CHECK_EQUAL(errno, ERANGE); |
694 | errno = 0; | |
695 | } | |
696 | ||
697 | template <class T> | |
698 | void test_c99_appendix_F() | |
699 | { | |
700 | // | |
701 | // Tests conformance to non-normative appendix F.9.1 of C99, basically how to handle | |
702 | // special cases, infinities and NaN's. | |
703 | // | |
704 | errno = 0; | |
705 | T tol = std::numeric_limits<T>::epsilon(); | |
706 | // F.9.1.1: | |
707 | T arg = 1; | |
708 | T val = acos(arg); | |
709 | BOOST_CHECK_EQUAL(val, 0); | |
710 | BOOST_CHECK(signbit(val) == 0); | |
711 | arg = 2; | |
712 | check_invalid(acos(arg)); | |
713 | arg = -2; | |
714 | check_invalid(acos(arg)); | |
92f5a8d4 | 715 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
716 | { |
717 | arg = std::numeric_limits<T>::infinity(); | |
718 | check_invalid(acos(arg)); | |
719 | arg = -std::numeric_limits<T>::infinity(); | |
720 | check_invalid(acos(arg)); | |
721 | } | |
92f5a8d4 | 722 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
723 | { |
724 | arg = std::numeric_limits<T>::quiet_NaN(); | |
725 | check_invalid(acos(arg)); | |
726 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
727 | check_invalid(acos(arg)); | |
728 | } | |
729 | // F.9.1.2: | |
730 | arg = 0; | |
731 | val = asin(arg); | |
732 | BOOST_CHECK_EQUAL(val, 0); | |
733 | BOOST_CHECK(signbit(val) == 0); | |
734 | arg = -arg; | |
92f5a8d4 | 735 | if (signbit(arg)) |
b32b8144 FG |
736 | { |
737 | val = asin(arg); | |
738 | BOOST_CHECK_EQUAL(val, 0); | |
739 | BOOST_CHECK(signbit(val)); | |
740 | } | |
741 | arg = 2; | |
742 | check_invalid(asin(arg)); | |
743 | arg = -2; | |
744 | check_invalid(asin(arg)); | |
92f5a8d4 | 745 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
746 | { |
747 | arg = std::numeric_limits<T>::infinity(); | |
748 | check_invalid(asin(arg)); | |
749 | arg = -std::numeric_limits<T>::infinity(); | |
750 | check_invalid(asin(arg)); | |
751 | } | |
92f5a8d4 | 752 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
753 | { |
754 | arg = std::numeric_limits<T>::quiet_NaN(); | |
755 | check_invalid(asin(arg)); | |
756 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
757 | check_invalid(asin(arg)); | |
758 | } | |
759 | // F.9.1.3: | |
760 | arg = 0; | |
761 | val = atan(arg); | |
762 | BOOST_CHECK_EQUAL(val, 0); | |
763 | BOOST_CHECK(signbit(val) == 0); | |
764 | arg = -arg; | |
92f5a8d4 | 765 | if (signbit(arg)) |
b32b8144 FG |
766 | { |
767 | val = atan(arg); | |
768 | BOOST_CHECK_EQUAL(val, 0); | |
769 | BOOST_CHECK(signbit(val)); | |
770 | } | |
92f5a8d4 | 771 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
772 | { |
773 | arg = std::numeric_limits<T>::infinity(); | |
774 | val = atan(arg); | |
775 | BOOST_CHECK_EQUAL(val, boost::math::constants::half_pi<T>()); | |
776 | arg = -std::numeric_limits<T>::infinity(); | |
777 | val = atan(arg); | |
778 | BOOST_CHECK_EQUAL(val, -boost::math::constants::half_pi<T>()); | |
779 | } | |
92f5a8d4 | 780 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
781 | { |
782 | arg = std::numeric_limits<T>::quiet_NaN(); | |
783 | check_invalid(asin(arg)); | |
784 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
785 | check_invalid(asin(arg)); | |
786 | } | |
787 | // F.9.1.4: | |
92f5a8d4 | 788 | arg = 0; |
b32b8144 | 789 | T arg2 = 0; |
92f5a8d4 | 790 | val = atan2(arg, arg2); |
b32b8144 FG |
791 | BOOST_CHECK_EQUAL(val, 0); |
792 | BOOST_CHECK(signbit(val) == 0); | |
793 | arg = -arg; | |
92f5a8d4 | 794 | if (signbit(arg)) |
b32b8144 FG |
795 | { |
796 | val = atan2(arg, arg2); | |
797 | BOOST_CHECK_EQUAL(val, 0); | |
798 | BOOST_CHECK(signbit(val)); | |
799 | } | |
800 | arg2 = -arg2; | |
92f5a8d4 | 801 | if (signbit(arg2)) |
b32b8144 FG |
802 | { |
803 | arg = 0; | |
804 | val = atan2(arg, arg2); | |
805 | BOOST_CHECK_EQUAL(val, boost::math::constants::pi<T>()); | |
806 | BOOST_CHECK(signbit(val) == 0); | |
807 | arg = -arg; | |
808 | val = atan2(arg, arg2); | |
809 | BOOST_CHECK_EQUAL(val, -boost::math::constants::pi<T>()); | |
810 | BOOST_CHECK(signbit(val)); | |
811 | } | |
92f5a8d4 | 812 | arg = 0; |
b32b8144 | 813 | arg2 = -2; |
92f5a8d4 | 814 | val = atan2(arg, arg2); |
b32b8144 FG |
815 | BOOST_CHECK_EQUAL(val, boost::math::constants::pi<T>()); |
816 | arg = -arg; | |
92f5a8d4 | 817 | if (signbit(arg)) |
b32b8144 FG |
818 | { |
819 | val = atan2(arg, arg2); | |
820 | BOOST_CHECK_EQUAL(val, -boost::math::constants::pi<T>()); | |
821 | } | |
92f5a8d4 | 822 | arg = 0; |
b32b8144 | 823 | arg2 = 2; |
92f5a8d4 | 824 | val = atan2(arg, arg2); |
b32b8144 FG |
825 | BOOST_CHECK_EQUAL(val, 0); |
826 | BOOST_CHECK(signbit(val) == 0); | |
827 | arg = -arg; | |
92f5a8d4 | 828 | if (signbit(arg)) |
b32b8144 FG |
829 | { |
830 | val = atan2(arg, arg2); | |
831 | BOOST_CHECK_EQUAL(val, 0); | |
832 | BOOST_CHECK(signbit(val)); | |
833 | } | |
92f5a8d4 | 834 | arg = -2; |
b32b8144 | 835 | arg2 = 0; |
92f5a8d4 | 836 | val = atan2(arg, arg2); |
b32b8144 FG |
837 | BOOST_CHECK_EQUAL(val, -boost::math::constants::half_pi<T>()); |
838 | arg2 = -arg2; | |
92f5a8d4 | 839 | if (signbit(arg2)) |
b32b8144 FG |
840 | { |
841 | val = atan2(arg, arg2); | |
842 | BOOST_CHECK_EQUAL(val, -boost::math::constants::half_pi<T>()); | |
843 | } | |
92f5a8d4 | 844 | arg = 2; |
b32b8144 | 845 | arg2 = 0; |
92f5a8d4 | 846 | val = atan2(arg, arg2); |
b32b8144 FG |
847 | BOOST_CHECK_EQUAL(val, boost::math::constants::half_pi<T>()); |
848 | arg2 = -arg2; | |
92f5a8d4 | 849 | if (signbit(arg2)) |
b32b8144 FG |
850 | { |
851 | val = atan2(arg, arg2); | |
852 | BOOST_CHECK_EQUAL(val, boost::math::constants::half_pi<T>()); | |
853 | } | |
92f5a8d4 | 854 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 | 855 | { |
92f5a8d4 | 856 | arg = 2; |
b32b8144 | 857 | arg2 = -std::numeric_limits<T>::infinity(); |
92f5a8d4 | 858 | val = atan2(arg, arg2); |
b32b8144 FG |
859 | BOOST_CHECK_EQUAL(val, boost::math::constants::pi<T>()); |
860 | arg = -arg; | |
861 | val = atan2(arg, arg2); | |
862 | BOOST_CHECK_EQUAL(val, -boost::math::constants::pi<T>()); | |
92f5a8d4 | 863 | arg = 2; |
b32b8144 | 864 | arg2 = std::numeric_limits<T>::infinity(); |
92f5a8d4 | 865 | val = atan2(arg, arg2); |
b32b8144 FG |
866 | BOOST_CHECK_EQUAL(val, 0); |
867 | BOOST_CHECK(signbit(val) == 0); | |
868 | arg = -arg; | |
92f5a8d4 | 869 | if (signbit(-T(0))) |
b32b8144 FG |
870 | { |
871 | val = atan2(arg, arg2); | |
872 | BOOST_CHECK_EQUAL(val, 0); | |
873 | BOOST_CHECK(signbit(val)); | |
874 | } | |
92f5a8d4 | 875 | arg = std::numeric_limits<T>::infinity(); |
b32b8144 | 876 | arg2 = 2; |
92f5a8d4 | 877 | val = atan2(arg, arg2); |
b32b8144 FG |
878 | BOOST_CHECK_EQUAL(val, boost::math::constants::half_pi<T>()); |
879 | arg = -arg; | |
880 | val = atan2(arg, arg2); | |
881 | BOOST_CHECK_EQUAL(val, -boost::math::constants::half_pi<T>()); | |
92f5a8d4 | 882 | arg = std::numeric_limits<T>::infinity(); |
b32b8144 | 883 | arg2 = -2; |
92f5a8d4 | 884 | val = atan2(arg, arg2); |
b32b8144 FG |
885 | BOOST_CHECK_EQUAL(val, boost::math::constants::half_pi<T>()); |
886 | arg = -arg; | |
887 | val = atan2(arg, arg2); | |
888 | BOOST_CHECK_EQUAL(val, -boost::math::constants::half_pi<T>()); | |
92f5a8d4 | 889 | arg = std::numeric_limits<T>::infinity(); |
b32b8144 | 890 | arg2 = -std::numeric_limits<T>::infinity(); |
92f5a8d4 | 891 | val = atan2(arg, arg2); |
b32b8144 FG |
892 | BOOST_CHECK_CLOSE_FRACTION(val, boost::math::constants::three_quarters_pi<T>(), tol); |
893 | arg = -arg; | |
894 | val = atan2(arg, arg2); | |
895 | BOOST_CHECK_CLOSE_FRACTION(val, -boost::math::constants::three_quarters_pi<T>(), tol); | |
92f5a8d4 | 896 | arg = std::numeric_limits<T>::infinity(); |
b32b8144 | 897 | arg2 = std::numeric_limits<T>::infinity(); |
92f5a8d4 | 898 | val = atan2(arg, arg2); |
b32b8144 FG |
899 | BOOST_CHECK_CLOSE_FRACTION(val, ldexp(boost::math::constants::pi<T>(), -2), tol); |
900 | arg = -arg; | |
901 | val = atan2(arg, arg2); | |
902 | BOOST_CHECK_CLOSE_FRACTION(val, -ldexp(boost::math::constants::pi<T>(), -2), tol); | |
92f5a8d4 | 903 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 | 904 | { |
92f5a8d4 | 905 | arg = std::numeric_limits<T>::quiet_NaN(); |
b32b8144 FG |
906 | arg2 = 2; |
907 | check_invalid(atan2(arg, arg2)); | |
908 | std::swap(arg, arg2); | |
909 | check_invalid(atan2(arg, arg2)); | |
910 | arg = std::numeric_limits<T>::quiet_NaN(); | |
911 | check_invalid(atan2(arg, arg2)); | |
912 | } | |
913 | } | |
914 | // F.9.1.5: | |
915 | arg = 0; | |
916 | val = cos(arg); | |
917 | BOOST_CHECK_EQUAL(val, 1); | |
918 | arg = -arg; | |
919 | BOOST_CHECK_EQUAL(val, 1); | |
92f5a8d4 | 920 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
921 | { |
922 | arg = std::numeric_limits<T>::infinity(); | |
923 | check_invalid(cos(arg)); | |
924 | arg = -std::numeric_limits<T>::infinity(); | |
925 | check_invalid(cos(arg)); | |
926 | } | |
92f5a8d4 | 927 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
928 | { |
929 | arg = std::numeric_limits<T>::quiet_NaN(); | |
930 | check_invalid(cos(arg)); | |
931 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
932 | check_invalid(cos(arg)); | |
933 | } | |
934 | // F.9.1.6: | |
935 | arg = 0; | |
936 | val = sin(arg); | |
937 | BOOST_CHECK_EQUAL(val, 0); | |
938 | BOOST_CHECK(signbit(val) == 0); | |
939 | arg = -arg; | |
92f5a8d4 | 940 | if (signbit(arg)) |
b32b8144 FG |
941 | { |
942 | val = sin(arg); | |
943 | BOOST_CHECK_EQUAL(val, 0); | |
944 | BOOST_CHECK(signbit(val)); | |
945 | } | |
92f5a8d4 | 946 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
947 | { |
948 | arg = std::numeric_limits<T>::infinity(); | |
949 | check_invalid(sin(arg)); | |
950 | arg = -std::numeric_limits<T>::infinity(); | |
951 | check_invalid(sin(arg)); | |
952 | } | |
92f5a8d4 | 953 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
954 | { |
955 | arg = std::numeric_limits<T>::quiet_NaN(); | |
956 | check_invalid(sin(arg)); | |
957 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
958 | check_invalid(sin(arg)); | |
959 | } | |
960 | // F.9.1.7: | |
961 | arg = 0; | |
962 | val = tan(arg); | |
963 | BOOST_CHECK_EQUAL(val, 0); | |
964 | BOOST_CHECK(signbit(val) == 0); | |
965 | arg = -arg; | |
92f5a8d4 | 966 | if (signbit(arg)) |
b32b8144 FG |
967 | { |
968 | val = tan(arg); | |
969 | BOOST_CHECK_EQUAL(val, 0); | |
970 | BOOST_CHECK(signbit(val)); | |
971 | } | |
92f5a8d4 | 972 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
973 | { |
974 | arg = std::numeric_limits<T>::infinity(); | |
975 | check_invalid(tan(arg)); | |
976 | arg = -std::numeric_limits<T>::infinity(); | |
977 | check_invalid(tan(arg)); | |
978 | } | |
92f5a8d4 | 979 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
980 | { |
981 | arg = std::numeric_limits<T>::quiet_NaN(); | |
982 | check_invalid(tan(arg)); | |
983 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
984 | check_invalid(tan(arg)); | |
985 | } | |
986 | // F.9.2.1: | |
987 | arg = 1; | |
988 | val = acosh(arg); | |
989 | BOOST_CHECK_EQUAL(val, 0); | |
990 | BOOST_CHECK(signbit(val) == 0); | |
991 | arg = -arg; | |
992 | check_invalid(acosh(arg)); | |
92f5a8d4 | 993 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
994 | { |
995 | arg = std::numeric_limits<T>::infinity(); | |
996 | val = acosh(arg); | |
997 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
998 | ||
999 | arg = -std::numeric_limits<T>::infinity(); | |
1000 | check_invalid(acosh(arg)); | |
1001 | } | |
92f5a8d4 | 1002 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1003 | { |
1004 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1005 | check_invalid(acosh(arg)); | |
1006 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1007 | check_invalid(acosh(arg)); | |
1008 | } | |
1009 | // F.9.2.2: | |
1010 | arg = 0; | |
1011 | val = asinh(arg); | |
1012 | BOOST_CHECK_EQUAL(val, 0); | |
1013 | BOOST_CHECK(signbit(val) == 0); | |
1014 | arg = -arg; | |
92f5a8d4 | 1015 | if (signbit(arg)) |
b32b8144 FG |
1016 | { |
1017 | val = asinh(arg); | |
1018 | BOOST_CHECK_EQUAL(val, 0); | |
1019 | BOOST_CHECK(signbit(val)); | |
1020 | } | |
92f5a8d4 | 1021 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1022 | { |
1023 | arg = std::numeric_limits<T>::infinity(); | |
1024 | val = asinh(arg); | |
1025 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1026 | ||
1027 | arg = -std::numeric_limits<T>::infinity(); | |
1028 | val = asinh(arg); | |
1029 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1030 | } | |
92f5a8d4 | 1031 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1032 | { |
1033 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1034 | check_invalid(asinh(arg)); | |
1035 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1036 | check_invalid(asinh(arg)); | |
1037 | } | |
1038 | // F.9.2.3: | |
1039 | arg = 0; | |
1040 | val = atanh(arg); | |
1041 | BOOST_CHECK_EQUAL(val, 0); | |
1042 | BOOST_CHECK(signbit(val) == 0); | |
1043 | arg = -arg; | |
92f5a8d4 | 1044 | if (signbit(arg)) |
b32b8144 FG |
1045 | { |
1046 | val = atanh(arg); | |
1047 | BOOST_CHECK_EQUAL(val, 0); | |
1048 | BOOST_CHECK(signbit(val)); | |
1049 | } | |
1050 | arg = 2; | |
1051 | check_invalid(atanh(arg)); | |
1052 | arg = -3; | |
1053 | check_invalid(atanh(arg)); | |
1054 | ||
92f5a8d4 | 1055 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1056 | { |
1057 | arg = 1; | |
1058 | val = atanh(arg); | |
1059 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1060 | BOOST_CHECK(signbit(val) == 0); | |
1061 | check_erange(val); | |
1062 | arg = -arg; | |
1063 | val = atanh(arg); | |
1064 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1065 | BOOST_CHECK(signbit(val)); | |
1066 | check_erange(val); | |
1067 | ||
1068 | arg = std::numeric_limits<T>::infinity(); | |
1069 | check_invalid(atanh(arg)); | |
1070 | arg = -std::numeric_limits<T>::infinity(); | |
1071 | check_invalid(atanh(arg)); | |
1072 | } | |
92f5a8d4 | 1073 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1074 | { |
1075 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1076 | check_invalid(atanh(arg)); | |
1077 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1078 | check_invalid(atanh(arg)); | |
1079 | } | |
1080 | // F.9.2.4: | |
1081 | arg = 0; | |
1082 | val = cosh(arg); | |
1083 | BOOST_CHECK_EQUAL(val, 1); | |
1084 | arg = -arg; | |
92f5a8d4 | 1085 | if (signbit(arg)) |
b32b8144 FG |
1086 | { |
1087 | val = cosh(arg); | |
1088 | BOOST_CHECK_EQUAL(val, 1); | |
1089 | } | |
92f5a8d4 | 1090 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1091 | { |
1092 | arg = (std::numeric_limits<T>::max)(); | |
1093 | val = cosh(arg); | |
1094 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1095 | arg = -arg; | |
1096 | val = cosh(arg); | |
1097 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1098 | arg = std::numeric_limits<T>::infinity(); | |
1099 | val = cosh(arg); | |
1100 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1101 | arg = -arg; | |
1102 | val = cosh(arg); | |
1103 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1104 | } | |
92f5a8d4 | 1105 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1106 | { |
1107 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1108 | check_invalid(cosh(arg)); | |
1109 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1110 | check_invalid(cosh(arg)); | |
1111 | } | |
1112 | // F.9.2.5: | |
1113 | arg = 0; | |
1114 | val = sinh(arg); | |
1115 | BOOST_CHECK_EQUAL(val, 0); | |
1116 | BOOST_CHECK(signbit(val) == 0); | |
1117 | arg = -arg; | |
92f5a8d4 | 1118 | if (signbit(arg)) |
b32b8144 FG |
1119 | { |
1120 | val = sinh(arg); | |
1121 | BOOST_CHECK_EQUAL(val, 0); | |
1122 | BOOST_CHECK(signbit(val)); | |
1123 | } | |
92f5a8d4 | 1124 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1125 | { |
1126 | arg = (std::numeric_limits<T>::max)(); | |
1127 | val = sinh(arg); | |
1128 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1129 | arg = -arg; | |
1130 | val = sinh(arg); | |
1131 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1132 | arg = std::numeric_limits<T>::infinity(); | |
1133 | val = sinh(arg); | |
1134 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1135 | arg = -arg; | |
1136 | val = sinh(arg); | |
1137 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1138 | } | |
92f5a8d4 | 1139 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1140 | { |
1141 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1142 | check_invalid(sinh(arg)); | |
1143 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1144 | check_invalid(sinh(arg)); | |
1145 | } | |
1146 | // F.9.2.6: | |
1147 | arg = 0; | |
1148 | val = tanh(arg); | |
1149 | BOOST_CHECK_EQUAL(val, 0); | |
1150 | BOOST_CHECK(signbit(val) == 0); | |
1151 | arg = -arg; | |
92f5a8d4 | 1152 | if (signbit(arg)) |
b32b8144 FG |
1153 | { |
1154 | val = tanh(arg); | |
1155 | BOOST_CHECK_EQUAL(val, 0); | |
1156 | BOOST_CHECK(signbit(val)); | |
1157 | } | |
1158 | arg = (std::numeric_limits<T>::max)(); | |
1159 | val = tanh(arg); | |
1160 | BOOST_CHECK_EQUAL(val, 1); | |
1161 | arg = -arg; | |
1162 | val = tanh(arg); | |
1163 | BOOST_CHECK_EQUAL(val, -1); | |
92f5a8d4 | 1164 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1165 | { |
1166 | arg = std::numeric_limits<T>::infinity(); | |
1167 | val = tanh(arg); | |
1168 | BOOST_CHECK_EQUAL(val, 1); | |
1169 | arg = -arg; | |
1170 | val = tanh(arg); | |
1171 | BOOST_CHECK_EQUAL(val, -1); | |
1172 | } | |
92f5a8d4 | 1173 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1174 | { |
1175 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1176 | check_invalid(tanh(arg)); | |
1177 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1178 | check_invalid(tanh(arg)); | |
1179 | } | |
1180 | // F.9.3.1: | |
1181 | arg = 0; | |
1182 | val = exp(arg); | |
1183 | BOOST_CHECK_EQUAL(val, 1); | |
1184 | arg = -arg; | |
92f5a8d4 | 1185 | if (signbit(arg)) |
b32b8144 FG |
1186 | { |
1187 | val = exp(arg); | |
1188 | BOOST_CHECK_EQUAL(val, 1); | |
1189 | } | |
92f5a8d4 | 1190 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1191 | { |
1192 | arg = std::numeric_limits<T>::infinity(); | |
1193 | val = exp(arg); | |
1194 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1195 | arg = -arg; | |
1196 | val = exp(arg); | |
1197 | BOOST_CHECK_EQUAL(val, 0); | |
1198 | BOOST_CHECK(signbit(val) == 0); | |
1199 | arg = (std::numeric_limits<T>::max)(); | |
1200 | val = exp(arg); | |
1201 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1202 | arg = -arg; | |
1203 | val = exp(arg); | |
1204 | BOOST_CHECK_EQUAL(val, 0); | |
1205 | BOOST_CHECK(signbit(val) == 0); | |
1206 | } | |
92f5a8d4 | 1207 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1208 | { |
1209 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1210 | check_invalid(exp(arg)); | |
1211 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1212 | check_invalid(exp(arg)); | |
1213 | } | |
1214 | // F.9.3.2: | |
1215 | arg = 0; | |
1216 | val = exp2(arg); | |
1217 | BOOST_CHECK_EQUAL(val, 1); | |
1218 | arg = -arg; | |
92f5a8d4 | 1219 | if (signbit(arg)) |
b32b8144 FG |
1220 | { |
1221 | val = exp2(arg); | |
1222 | BOOST_CHECK_EQUAL(val, 1); | |
1223 | } | |
92f5a8d4 | 1224 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1225 | { |
1226 | arg = std::numeric_limits<T>::infinity(); | |
1227 | val = exp2(arg); | |
1228 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1229 | arg = -arg; | |
1230 | val = exp2(arg); | |
1231 | BOOST_CHECK_EQUAL(val, 0); | |
1232 | BOOST_CHECK(signbit(val) == 0); | |
1233 | arg = (std::numeric_limits<T>::max)(); | |
1234 | val = exp2(arg); | |
1235 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1236 | arg = -arg; | |
1237 | val = exp2(arg); | |
1238 | BOOST_CHECK_EQUAL(val, 0); | |
1239 | BOOST_CHECK(signbit(val) == 0); | |
1240 | } | |
92f5a8d4 | 1241 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1242 | { |
1243 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1244 | check_invalid(exp2(arg)); | |
1245 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1246 | check_invalid(exp2(arg)); | |
1247 | } | |
1248 | // F.9.3.3: | |
1249 | arg = 0; | |
1250 | val = expm1(arg); | |
1251 | BOOST_CHECK_EQUAL(val, 0); | |
1252 | BOOST_CHECK(signbit(val) == 0); | |
1253 | arg = -arg; | |
92f5a8d4 | 1254 | if (signbit(arg)) |
b32b8144 FG |
1255 | { |
1256 | val = expm1(arg); | |
1257 | BOOST_CHECK_EQUAL(val, 0); | |
1258 | BOOST_CHECK(signbit(val)); | |
1259 | } | |
92f5a8d4 | 1260 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1261 | { |
1262 | arg = std::numeric_limits<T>::infinity(); | |
1263 | val = expm1(arg); | |
1264 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1265 | arg = -arg; | |
1266 | val = expm1(arg); | |
1267 | BOOST_CHECK_EQUAL(val, -1); | |
1268 | arg = (std::numeric_limits<T>::max)(); | |
1269 | val = expm1(arg); | |
1270 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1271 | arg = -arg; | |
1272 | val = expm1(arg); | |
1273 | BOOST_CHECK_EQUAL(val, -1); | |
1274 | } | |
92f5a8d4 | 1275 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1276 | { |
1277 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1278 | check_invalid(expm1(arg)); | |
1279 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1280 | check_invalid(expm1(arg)); | |
1281 | } | |
1282 | // F.9.3.4: | |
1283 | arg = 0; | |
1284 | int ival; | |
1285 | val = frexp(arg, &ival); | |
1286 | BOOST_CHECK_EQUAL(val, 0); | |
1287 | BOOST_CHECK_EQUAL(ival, 0); | |
1288 | BOOST_CHECK(signbit(val) == 0); | |
1289 | arg = -arg; | |
92f5a8d4 | 1290 | if (signbit(arg)) |
b32b8144 FG |
1291 | { |
1292 | val = frexp(arg, &ival); | |
1293 | BOOST_CHECK_EQUAL(val, 0); | |
1294 | BOOST_CHECK(signbit(val)); | |
1295 | BOOST_CHECK(signbit(val)); | |
1296 | } | |
92f5a8d4 | 1297 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1298 | { |
1299 | arg = std::numeric_limits<T>::infinity(); | |
1300 | val = frexp(arg, &ival); | |
1301 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1302 | arg = -arg; | |
1303 | val = frexp(arg, &ival); | |
1304 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1305 | } | |
92f5a8d4 | 1306 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1307 | { |
1308 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1309 | val = frexp(arg, &ival); | |
1310 | BOOST_CHECK(isnan(val)); | |
1311 | } | |
1312 | // F.9.3.5: | |
1313 | typename T::backend_type::exponent_type eval; | |
1314 | typename T::backend_type::exponent_type fp_ilogb0 = (std::numeric_limits<typename T::backend_type::exponent_type>::min)(); | |
1315 | typename T::backend_type::exponent_type fp_ilogbnan = | |
1316 | #ifdef FP_ILOGBNAN | |
92f5a8d4 | 1317 | FP_ILOGBNAN < 0 ? (std::numeric_limits<typename T::backend_type::exponent_type>::min)() : (std::numeric_limits<typename T::backend_type::exponent_type>::max)(); |
b32b8144 | 1318 | #else |
92f5a8d4 | 1319 | INT_MAX; |
b32b8144 FG |
1320 | #endif |
1321 | ||
92f5a8d4 | 1322 | arg = 0; |
b32b8144 FG |
1323 | eval = ilogb(arg); |
1324 | BOOST_CHECK_EQUAL(eval, fp_ilogb0); | |
92f5a8d4 | 1325 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 | 1326 | { |
92f5a8d4 | 1327 | arg = std::numeric_limits<T>::infinity(); |
b32b8144 FG |
1328 | eval = ilogb(arg); |
1329 | BOOST_CHECK_EQUAL(eval, (std::numeric_limits<typename T::backend_type::exponent_type>::max)()); | |
92f5a8d4 | 1330 | arg = -arg; |
b32b8144 FG |
1331 | eval = ilogb(arg); |
1332 | BOOST_CHECK_EQUAL(eval, (std::numeric_limits<typename T::backend_type::exponent_type>::max)()); | |
1333 | } | |
92f5a8d4 | 1334 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 | 1335 | { |
92f5a8d4 | 1336 | arg = std::numeric_limits<T>::quiet_NaN(); |
b32b8144 FG |
1337 | eval = ilogb(arg); |
1338 | BOOST_CHECK_EQUAL(eval, fp_ilogbnan); | |
1339 | } | |
1340 | // F.9.3.7: | |
1341 | arg = 1; | |
1342 | val = log(arg); | |
1343 | BOOST_CHECK_EQUAL(val, 0); | |
1344 | BOOST_CHECK(signbit(val) == 0); | |
92f5a8d4 | 1345 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1346 | { |
1347 | arg = 0; | |
1348 | val = log(arg); | |
1349 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1350 | check_erange(val); | |
1351 | arg = -arg; | |
92f5a8d4 | 1352 | if (signbit(arg)) |
b32b8144 FG |
1353 | { |
1354 | val = log(arg); | |
1355 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1356 | check_erange(val); | |
1357 | } | |
1358 | arg = -1; | |
1359 | check_invalid(log(arg)); | |
1360 | arg = -std::numeric_limits<T>::infinity(); | |
1361 | check_invalid(log(arg)); | |
1362 | arg = std::numeric_limits<T>::infinity(); | |
1363 | val = log(arg); | |
1364 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1365 | } | |
92f5a8d4 | 1366 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1367 | { |
1368 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1369 | check_invalid(log(arg)); | |
1370 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1371 | check_invalid(log(arg)); | |
1372 | } | |
1373 | // F.9.3.8: | |
1374 | arg = 1; | |
1375 | val = log10(arg); | |
1376 | BOOST_CHECK_EQUAL(val, 0); | |
1377 | BOOST_CHECK(signbit(val) == 0); | |
92f5a8d4 | 1378 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1379 | { |
1380 | arg = 0; | |
1381 | val = log10(arg); | |
1382 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1383 | check_erange(val); | |
1384 | arg = -arg; | |
92f5a8d4 | 1385 | if (signbit(arg)) |
b32b8144 FG |
1386 | { |
1387 | val = log10(arg); | |
1388 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1389 | check_erange(val); | |
1390 | } | |
1391 | arg = -1; | |
1392 | check_invalid(log10(arg)); | |
1393 | arg = -std::numeric_limits<T>::infinity(); | |
1394 | check_invalid(log10(arg)); | |
1395 | arg = std::numeric_limits<T>::infinity(); | |
1396 | val = log10(arg); | |
1397 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1398 | } | |
92f5a8d4 | 1399 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1400 | { |
1401 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1402 | check_invalid(log10(arg)); | |
1403 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1404 | check_invalid(log10(arg)); | |
1405 | } | |
1406 | // F.9.3.9: | |
1407 | arg = 0; | |
1408 | val = log1p(arg); | |
1409 | BOOST_CHECK_EQUAL(val, 0); | |
1410 | BOOST_CHECK(signbit(val) == 0); | |
1411 | arg = -arg; | |
92f5a8d4 | 1412 | if (signbit(arg)) |
b32b8144 FG |
1413 | { |
1414 | val = log1p(arg); | |
1415 | BOOST_CHECK_EQUAL(val, 0); | |
1416 | BOOST_CHECK(signbit(val)); | |
1417 | } | |
92f5a8d4 | 1418 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1419 | { |
1420 | arg = -1; | |
1421 | val = log1p(arg); | |
1422 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1423 | check_erange(val); | |
1424 | arg = -2; | |
1425 | check_invalid(log1p(arg)); | |
1426 | arg = -std::numeric_limits<T>::infinity(); | |
1427 | check_invalid(log1p(arg)); | |
1428 | arg = std::numeric_limits<T>::infinity(); | |
1429 | val = log1p(arg); | |
1430 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1431 | } | |
92f5a8d4 | 1432 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1433 | { |
1434 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1435 | check_invalid(log1p(arg)); | |
1436 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1437 | check_invalid(log1p(arg)); | |
1438 | } | |
1439 | // F.9.3.10: | |
1440 | arg = 1; | |
1441 | val = log2(arg); | |
1442 | BOOST_CHECK_EQUAL(val, 0); | |
1443 | BOOST_CHECK(signbit(val) == 0); | |
92f5a8d4 | 1444 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1445 | { |
1446 | arg = 0; | |
1447 | val = log2(arg); | |
1448 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1449 | check_erange(val); | |
1450 | arg = -arg; | |
92f5a8d4 | 1451 | if (signbit(arg)) |
b32b8144 FG |
1452 | { |
1453 | val = log2(arg); | |
1454 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1455 | check_erange(val); | |
1456 | } | |
1457 | arg = -1; | |
1458 | check_invalid(log2(arg)); | |
1459 | arg = -std::numeric_limits<T>::infinity(); | |
1460 | check_invalid(log2(arg)); | |
1461 | arg = std::numeric_limits<T>::infinity(); | |
1462 | val = log2(arg); | |
1463 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1464 | } | |
92f5a8d4 | 1465 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1466 | { |
1467 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1468 | check_invalid(log2(arg)); | |
1469 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1470 | check_invalid(log2(arg)); | |
1471 | } | |
1472 | // F.9.3.11: | |
92f5a8d4 | 1473 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1474 | { |
1475 | arg = 0; | |
1476 | val = logb(arg); | |
1477 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1478 | check_erange(val); | |
1479 | arg = -arg; | |
92f5a8d4 | 1480 | if (signbit(arg)) |
b32b8144 FG |
1481 | { |
1482 | val = logb(arg); | |
1483 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1484 | check_erange(val); | |
1485 | } | |
1486 | arg = std::numeric_limits<T>::infinity(); | |
1487 | val = logb(arg); | |
1488 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1489 | arg = -std::numeric_limits<T>::infinity(); | |
1490 | val = logb(arg); | |
1491 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1492 | } | |
92f5a8d4 | 1493 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1494 | { |
1495 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1496 | check_invalid(logb(arg)); | |
1497 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1498 | check_invalid(logb(arg)); | |
1499 | } | |
1500 | // F.9.3.13: | |
1501 | arg = 0; | |
1502 | val = scalbn(arg, 2); | |
1503 | BOOST_CHECK_EQUAL(val, 0); | |
1504 | BOOST_CHECK(signbit(val) == 0); | |
1505 | arg = -arg; | |
92f5a8d4 | 1506 | if (signbit(arg)) |
b32b8144 FG |
1507 | { |
1508 | val = scalbn(arg, 2); | |
1509 | BOOST_CHECK_EQUAL(val, 0); | |
1510 | BOOST_CHECK(signbit(val)); | |
1511 | } | |
92f5a8d4 | 1512 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1513 | { |
1514 | arg = std::numeric_limits<T>::infinity(); | |
1515 | val = scalbn(arg, -100); | |
1516 | BOOST_CHECK_EQUAL(val, arg); | |
1517 | arg = -arg; | |
1518 | val = scalbn(arg, -100); | |
1519 | BOOST_CHECK_EQUAL(val, arg); | |
1520 | } | |
1521 | // F.9.4.1: | |
1522 | arg = 0; | |
1523 | val = cbrt(arg); | |
1524 | BOOST_CHECK_EQUAL(val, 0); | |
1525 | BOOST_CHECK(signbit(val) == 0); | |
1526 | arg = -arg; | |
92f5a8d4 | 1527 | if (signbit(arg)) |
b32b8144 FG |
1528 | { |
1529 | val = cbrt(arg); | |
1530 | BOOST_CHECK_EQUAL(val, 0); | |
1531 | BOOST_CHECK(signbit(val)); | |
1532 | } | |
1533 | #if !(defined(TEST_FLOAT128) && defined(BOOST_GCC_VERSION) && (BOOST_GCC_VERSION < 40800)) | |
1534 | // | |
1535 | // This test fails with early implementations of libquadmath - not our issue! | |
1536 | // | |
92f5a8d4 | 1537 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1538 | { |
1539 | arg = std::numeric_limits<T>::infinity(); | |
1540 | val = cbrt(arg); | |
1541 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1542 | arg = -std::numeric_limits<T>::infinity(); | |
1543 | val = cbrt(arg); | |
1544 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1545 | } | |
1546 | #endif | |
92f5a8d4 | 1547 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1548 | { |
1549 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1550 | check_invalid(cbrt(arg)); | |
1551 | arg = -std::numeric_limits<T>::quiet_NaN(); | |
1552 | check_invalid(cbrt(arg)); | |
1553 | } | |
1554 | // F.9.4.2: | |
1555 | arg = 0; | |
1556 | val = fabs(arg); | |
1557 | BOOST_CHECK_EQUAL(val, 0); | |
1558 | BOOST_CHECK(signbit(val) == 0); | |
1559 | arg = -arg; | |
92f5a8d4 | 1560 | if (signbit(arg)) |
b32b8144 FG |
1561 | { |
1562 | val = fabs(arg); | |
1563 | BOOST_CHECK_EQUAL(val, 0); | |
1564 | BOOST_CHECK(signbit(val) == 0); | |
1565 | } | |
92f5a8d4 | 1566 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1567 | { |
1568 | arg = std::numeric_limits<T>::infinity(); | |
1569 | val = fabs(arg); | |
1570 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1571 | arg = -std::numeric_limits<T>::infinity(); | |
1572 | val = fabs(arg); | |
1573 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1574 | } | |
1575 | // F.9.4.3: | |
92f5a8d4 | 1576 | arg = 2; |
b32b8144 | 1577 | arg2 = 0; |
92f5a8d4 | 1578 | val = hypot(arg, arg2); |
b32b8144 FG |
1579 | BOOST_CHECK_EQUAL(val, arg); |
1580 | arg2 = -arg2; | |
92f5a8d4 | 1581 | val = hypot(arg, arg2); |
b32b8144 | 1582 | BOOST_CHECK_EQUAL(val, arg); |
92f5a8d4 | 1583 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 | 1584 | { |
92f5a8d4 | 1585 | arg = std::numeric_limits<T>::infinity(); |
b32b8144 | 1586 | arg2 = 2; |
92f5a8d4 | 1587 | val = hypot(arg, arg2); |
b32b8144 FG |
1588 | BOOST_CHECK_EQUAL(val, arg); |
1589 | arg = -arg; | |
1590 | val = hypot(arg, arg2); | |
1591 | BOOST_CHECK_EQUAL(val, -arg); | |
1592 | arg2 = std::numeric_limits<T>::quiet_NaN(); | |
92f5a8d4 | 1593 | val = hypot(arg, arg2); |
b32b8144 FG |
1594 | BOOST_CHECK_EQUAL(val, -arg); |
1595 | arg = -arg; | |
1596 | val = hypot(arg, arg2); | |
1597 | BOOST_CHECK_EQUAL(val, arg); | |
1598 | } | |
1599 | // F.9.4.4: | |
92f5a8d4 | 1600 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 | 1601 | { |
92f5a8d4 | 1602 | arg = 0; |
b32b8144 | 1603 | arg2 = -3; |
92f5a8d4 | 1604 | val = pow(arg, arg2); |
b32b8144 FG |
1605 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); |
1606 | check_erange(val); | |
1607 | arg = -arg; | |
92f5a8d4 | 1608 | if (signbit(arg)) |
b32b8144 FG |
1609 | { |
1610 | val = pow(arg, arg2); | |
1611 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1612 | check_erange(val); | |
1613 | } | |
92f5a8d4 | 1614 | arg = 0; |
b32b8144 | 1615 | arg2 = -2; |
92f5a8d4 | 1616 | val = pow(arg, arg2); |
b32b8144 FG |
1617 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); |
1618 | check_erange(val); | |
1619 | arg = -arg; | |
92f5a8d4 | 1620 | if (signbit(arg)) |
b32b8144 FG |
1621 | { |
1622 | val = pow(arg, arg2); | |
1623 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1624 | check_erange(val); | |
1625 | } | |
92f5a8d4 | 1626 | arg = 0; |
b32b8144 | 1627 | arg2 = 3; |
92f5a8d4 | 1628 | val = pow(arg, arg2); |
b32b8144 FG |
1629 | BOOST_CHECK_EQUAL(val, 0); |
1630 | BOOST_CHECK(signbit(val) == 0); | |
1631 | arg = -arg; | |
92f5a8d4 | 1632 | if (signbit(arg)) |
b32b8144 FG |
1633 | { |
1634 | val = pow(arg, arg2); | |
1635 | BOOST_CHECK_EQUAL(val, 0); | |
1636 | BOOST_CHECK(signbit(val)); | |
1637 | } | |
92f5a8d4 | 1638 | arg = 0; |
b32b8144 | 1639 | arg2 = 2; |
92f5a8d4 | 1640 | val = pow(arg, arg2); |
b32b8144 FG |
1641 | BOOST_CHECK_EQUAL(val, 0); |
1642 | BOOST_CHECK(signbit(val) == 0); | |
1643 | arg = -arg; | |
92f5a8d4 | 1644 | if (signbit(arg)) |
b32b8144 FG |
1645 | { |
1646 | val = pow(arg, arg2); | |
1647 | BOOST_CHECK_EQUAL(val, 0); | |
1648 | BOOST_CHECK(signbit(val) == 0); | |
1649 | } | |
92f5a8d4 | 1650 | arg = -1; |
b32b8144 | 1651 | arg2 = std::numeric_limits<T>::infinity(); |
92f5a8d4 | 1652 | val = pow(arg, arg2); |
b32b8144 FG |
1653 | BOOST_CHECK_EQUAL(val, 1); |
1654 | arg2 = -std::numeric_limits<T>::infinity(); | |
92f5a8d4 | 1655 | val = pow(arg, arg2); |
b32b8144 | 1656 | BOOST_CHECK_EQUAL(val, 1); |
92f5a8d4 | 1657 | arg = 1; |
b32b8144 | 1658 | arg2 = 0; |
92f5a8d4 | 1659 | val = pow(arg, arg2); |
b32b8144 FG |
1660 | BOOST_CHECK_EQUAL(val, 1); |
1661 | arg2 = std::numeric_limits<T>::infinity(); | |
92f5a8d4 | 1662 | val = pow(arg, arg2); |
b32b8144 FG |
1663 | BOOST_CHECK_EQUAL(val, 1); |
1664 | arg2 = -std::numeric_limits<T>::infinity(); | |
92f5a8d4 | 1665 | val = pow(arg, arg2); |
b32b8144 FG |
1666 | BOOST_CHECK_EQUAL(val, 1); |
1667 | arg2 = std::numeric_limits<T>::quiet_NaN(); | |
92f5a8d4 | 1668 | val = pow(arg, arg2); |
b32b8144 | 1669 | BOOST_CHECK_EQUAL(val, 1); |
92f5a8d4 | 1670 | arg = 0; |
b32b8144 | 1671 | arg2 = 0; |
92f5a8d4 | 1672 | val = pow(arg, arg2); |
b32b8144 FG |
1673 | BOOST_CHECK_EQUAL(val, 1); |
1674 | arg2 = -arg2; | |
92f5a8d4 | 1675 | val = pow(arg, arg2); |
b32b8144 FG |
1676 | BOOST_CHECK_EQUAL(val, 1); |
1677 | arg = std::numeric_limits<T>::infinity(); | |
1678 | val = pow(arg, arg2); | |
1679 | BOOST_CHECK_EQUAL(val, 1); | |
1680 | arg2 = -arg2; | |
92f5a8d4 | 1681 | val = pow(arg, arg2); |
b32b8144 FG |
1682 | BOOST_CHECK_EQUAL(val, 1); |
1683 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1684 | val = pow(arg, arg2); | |
1685 | BOOST_CHECK_EQUAL(val, 1); | |
1686 | arg2 = -arg2; | |
92f5a8d4 | 1687 | val = pow(arg, arg2); |
b32b8144 FG |
1688 | BOOST_CHECK_EQUAL(val, 1); |
1689 | } | |
92f5a8d4 | 1690 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 | 1691 | { |
92f5a8d4 | 1692 | arg = -2.5; |
b32b8144 FG |
1693 | arg2 = 2.5; |
1694 | check_invalid(pow(arg, arg2)); | |
1695 | } | |
92f5a8d4 | 1696 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 | 1697 | { |
92f5a8d4 | 1698 | arg = 0.5; |
b32b8144 | 1699 | arg2 = -std::numeric_limits<T>::infinity(); |
92f5a8d4 | 1700 | val = pow(arg, arg2); |
b32b8144 FG |
1701 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); |
1702 | arg = -0.25; | |
1703 | val = pow(arg, arg2); | |
1704 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
92f5a8d4 | 1705 | arg = 2.5; |
b32b8144 | 1706 | arg2 = -std::numeric_limits<T>::infinity(); |
92f5a8d4 | 1707 | val = pow(arg, arg2); |
b32b8144 FG |
1708 | BOOST_CHECK_EQUAL(val, 0); |
1709 | arg = -arg; | |
1710 | val = pow(arg, arg2); | |
1711 | BOOST_CHECK_EQUAL(val, 0); | |
92f5a8d4 | 1712 | arg = 2.5; |
b32b8144 | 1713 | arg2 = std::numeric_limits<T>::infinity(); |
92f5a8d4 | 1714 | val = pow(arg, arg2); |
b32b8144 FG |
1715 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); |
1716 | arg = -arg; | |
1717 | val = pow(arg, arg2); | |
1718 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
92f5a8d4 | 1719 | arg = -std::numeric_limits<T>::infinity(); |
b32b8144 | 1720 | arg2 = -3; |
92f5a8d4 | 1721 | val = pow(arg, arg2); |
b32b8144 | 1722 | BOOST_CHECK_EQUAL(val, 0); |
92f5a8d4 | 1723 | if (signbit(-T(0))) |
b32b8144 FG |
1724 | BOOST_CHECK(signbit(val)); |
1725 | arg2 = -2; | |
92f5a8d4 | 1726 | val = pow(arg, arg2); |
b32b8144 FG |
1727 | BOOST_CHECK_EQUAL(val, 0); |
1728 | BOOST_CHECK(signbit(val) == 0); | |
1729 | arg2 = -2.5; | |
92f5a8d4 | 1730 | val = pow(arg, arg2); |
b32b8144 FG |
1731 | BOOST_CHECK_EQUAL(val, 0); |
1732 | BOOST_CHECK(signbit(val) == 0); | |
1733 | arg2 = 3; | |
92f5a8d4 | 1734 | val = pow(arg, arg2); |
b32b8144 FG |
1735 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); |
1736 | arg2 = 2; | |
92f5a8d4 | 1737 | val = pow(arg, arg2); |
b32b8144 FG |
1738 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); |
1739 | arg2 = 2.5; | |
92f5a8d4 | 1740 | val = pow(arg, arg2); |
b32b8144 | 1741 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); |
92f5a8d4 | 1742 | arg = -arg; // +INF |
b32b8144 | 1743 | arg2 = -2; |
92f5a8d4 | 1744 | val = pow(arg, arg2); |
b32b8144 FG |
1745 | BOOST_CHECK_EQUAL(val, 0); |
1746 | BOOST_CHECK(signbit(val) == 0); | |
1747 | arg2 = -3; | |
92f5a8d4 | 1748 | val = pow(arg, arg2); |
b32b8144 FG |
1749 | BOOST_CHECK_EQUAL(val, 0); |
1750 | BOOST_CHECK(signbit(val) == 0); | |
1751 | arg2 = -3.5; | |
92f5a8d4 | 1752 | val = pow(arg, arg2); |
b32b8144 FG |
1753 | BOOST_CHECK_EQUAL(val, 0); |
1754 | BOOST_CHECK(signbit(val) == 0); | |
1755 | arg2 = 2; | |
92f5a8d4 | 1756 | val = pow(arg, arg2); |
b32b8144 FG |
1757 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); |
1758 | arg2 = 3; | |
92f5a8d4 | 1759 | val = pow(arg, arg2); |
b32b8144 FG |
1760 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); |
1761 | arg2 = 3.5; | |
92f5a8d4 | 1762 | val = pow(arg, arg2); |
b32b8144 FG |
1763 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); |
1764 | } | |
1765 | // F.9.4.5: | |
1766 | arg = 0; | |
1767 | val = sqrt(arg); | |
1768 | BOOST_CHECK_EQUAL(val, 0); | |
1769 | BOOST_CHECK(signbit(val) == 0); | |
1770 | arg = -arg; | |
92f5a8d4 | 1771 | if (signbit(arg)) |
b32b8144 FG |
1772 | { |
1773 | val = sqrt(arg); | |
1774 | BOOST_CHECK_EQUAL(val, 0); | |
1775 | BOOST_CHECK(signbit(val)); | |
1776 | } | |
1777 | #if !(defined(TEST_FLOAT128) && defined(BOOST_GCC_VERSION) && (BOOST_GCC_VERSION < 40800)) | |
1778 | // | |
1779 | // This test fails with early implementations of libquadmath - not our issue! | |
1780 | // | |
92f5a8d4 | 1781 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1782 | { |
1783 | arg = std::numeric_limits<T>::infinity(); | |
1784 | val = sqrt(arg); | |
1785 | BOOST_CHECK_EQUAL(val, arg); | |
1786 | arg = -arg; | |
1787 | check_invalid(sqrt(arg)); | |
1788 | } | |
1789 | #endif | |
92f5a8d4 | 1790 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1791 | { |
1792 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1793 | check_invalid(sqrt(arg)); | |
1794 | } | |
1795 | // F.9.5.1: | |
1796 | arg = 0; | |
1797 | val = erf(arg); | |
1798 | BOOST_CHECK_EQUAL(val, 0); | |
1799 | BOOST_CHECK(signbit(val) == 0); | |
1800 | arg = -arg; | |
92f5a8d4 | 1801 | if (signbit(arg)) |
b32b8144 FG |
1802 | { |
1803 | val = erf(arg); | |
1804 | BOOST_CHECK_EQUAL(val, 0); | |
1805 | BOOST_CHECK(signbit(val)); | |
1806 | } | |
92f5a8d4 | 1807 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1808 | { |
1809 | arg = std::numeric_limits<T>::infinity(); | |
1810 | val = erf(arg); | |
1811 | BOOST_CHECK_EQUAL(val, 1); | |
1812 | arg = -arg; | |
1813 | val = erf(arg); | |
1814 | BOOST_CHECK_EQUAL(val, -1); | |
1815 | } | |
92f5a8d4 | 1816 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1817 | { |
1818 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1819 | check_invalid(erf(arg)); | |
1820 | } | |
1821 | // F.9.5.2: | |
92f5a8d4 | 1822 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1823 | { |
1824 | arg = std::numeric_limits<T>::infinity(); | |
1825 | val = erfc(arg); | |
1826 | BOOST_CHECK_EQUAL(val, 0); | |
1827 | BOOST_CHECK(signbit(val) == 0); | |
1828 | arg = -arg; | |
1829 | val = erfc(arg); | |
1830 | BOOST_CHECK_EQUAL(val, 2); | |
1831 | } | |
92f5a8d4 | 1832 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1833 | { |
1834 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1835 | check_invalid(erfc(arg)); | |
1836 | } | |
1837 | // F.9.5.3: | |
1838 | arg = 1; | |
1839 | val = lgamma(arg); | |
1840 | BOOST_CHECK_EQUAL(val, 0); | |
1841 | BOOST_CHECK(signbit(val) == 0); | |
1842 | arg = 2; | |
1843 | val = lgamma(arg); | |
1844 | BOOST_CHECK_EQUAL(val, 0); | |
1845 | BOOST_CHECK(signbit(val) == 0); | |
1846 | #if !defined(BOOST_MPFR_VERSION) || (BOOST_MPFR_VERSION > 30103) | |
1847 | arg = 0; | |
1848 | val = lgamma(arg); | |
1849 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1850 | check_erange(val); | |
1851 | arg = -1; | |
1852 | val = lgamma(arg); | |
1853 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1854 | check_erange(val); | |
1855 | arg = -2; | |
1856 | val = lgamma(arg); | |
1857 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1858 | check_erange(val); | |
1859 | arg = -std::numeric_limits<T>::infinity(); | |
1860 | val = lgamma(arg); | |
1861 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1862 | #endif | |
1863 | arg = std::numeric_limits<T>::infinity(); | |
1864 | val = lgamma(arg); | |
1865 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
92f5a8d4 | 1866 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1867 | { |
1868 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1869 | check_invalid(lgamma(arg)); | |
1870 | } | |
1871 | // F.9.5.4: | |
92f5a8d4 | 1872 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1873 | { |
1874 | arg = 0; | |
1875 | val = tgamma(arg); | |
1876 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1877 | check_erange(val); | |
1878 | arg = -arg; | |
92f5a8d4 | 1879 | if (signbit(arg)) |
b32b8144 FG |
1880 | { |
1881 | val = tgamma(arg); | |
1882 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1883 | check_erange(val); | |
1884 | } | |
1885 | arg = -1; | |
1886 | check_invalid(tgamma(arg)); | |
1887 | arg = -std::numeric_limits<T>::infinity(); | |
1888 | check_invalid(tgamma(arg)); | |
1889 | arg = std::numeric_limits<T>::infinity(); | |
1890 | val = tgamma(arg); | |
1891 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1892 | } | |
92f5a8d4 | 1893 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1894 | { |
1895 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1896 | check_invalid(tgamma(arg)); | |
1897 | } | |
1898 | // F.9.6.1: | |
1899 | arg = 0; | |
1900 | val = ceil(arg); | |
1901 | BOOST_CHECK_EQUAL(val, 0); | |
1902 | BOOST_CHECK(signbit(val) == 0); | |
1903 | arg = -arg; | |
92f5a8d4 | 1904 | if (signbit(arg)) |
b32b8144 FG |
1905 | { |
1906 | val = ceil(arg); | |
1907 | BOOST_CHECK_EQUAL(val, 0); | |
1908 | BOOST_CHECK(signbit(val)); | |
1909 | } | |
92f5a8d4 | 1910 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1911 | { |
1912 | arg = std::numeric_limits<T>::infinity(); | |
1913 | val = ceil(arg); | |
1914 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1915 | arg = -arg; | |
1916 | val = ceil(arg); | |
1917 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1918 | } | |
92f5a8d4 | 1919 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1920 | { |
1921 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1922 | check_invalid(ceil(arg)); | |
1923 | } | |
1924 | // F.9.6.2: | |
1925 | arg = 0; | |
1926 | val = floor(arg); | |
1927 | BOOST_CHECK_EQUAL(val, 0); | |
1928 | BOOST_CHECK(signbit(val) == 0); | |
1929 | arg = -arg; | |
92f5a8d4 | 1930 | if (signbit(arg)) |
b32b8144 FG |
1931 | { |
1932 | val = floor(arg); | |
1933 | BOOST_CHECK_EQUAL(val, 0); | |
1934 | BOOST_CHECK(signbit(val)); | |
1935 | } | |
92f5a8d4 | 1936 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1937 | { |
1938 | arg = std::numeric_limits<T>::infinity(); | |
1939 | val = floor(arg); | |
1940 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1941 | arg = -arg; | |
1942 | val = floor(arg); | |
1943 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1944 | } | |
92f5a8d4 | 1945 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1946 | { |
1947 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1948 | check_invalid(floor(arg)); | |
1949 | } | |
1950 | // F.9.6.3: | |
1951 | arg = 0; | |
1952 | val = nearbyint(arg); | |
1953 | BOOST_CHECK_EQUAL(val, 0); | |
1954 | BOOST_CHECK(signbit(val) == 0); | |
1955 | arg = -arg; | |
92f5a8d4 | 1956 | if (signbit(arg)) |
b32b8144 FG |
1957 | { |
1958 | val = nearbyint(arg); | |
1959 | BOOST_CHECK_EQUAL(val, 0); | |
1960 | BOOST_CHECK(signbit(val)); | |
1961 | } | |
92f5a8d4 | 1962 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1963 | { |
1964 | arg = std::numeric_limits<T>::infinity(); | |
1965 | val = nearbyint(arg); | |
1966 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1967 | arg = -arg; | |
1968 | val = nearbyint(arg); | |
1969 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1970 | } | |
92f5a8d4 | 1971 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1972 | { |
1973 | arg = std::numeric_limits<T>::quiet_NaN(); | |
1974 | check_invalid(nearbyint(arg)); | |
1975 | } | |
1976 | // F.9.6.4: | |
1977 | arg = 0; | |
1978 | val = rint(arg); | |
1979 | BOOST_CHECK_EQUAL(val, 0); | |
1980 | BOOST_CHECK(signbit(val) == 0); | |
1981 | arg = -arg; | |
92f5a8d4 | 1982 | if (signbit(arg)) |
b32b8144 FG |
1983 | { |
1984 | val = rint(arg); | |
1985 | BOOST_CHECK_EQUAL(val, 0); | |
1986 | BOOST_CHECK(signbit(val)); | |
1987 | } | |
92f5a8d4 | 1988 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
1989 | { |
1990 | arg = std::numeric_limits<T>::infinity(); | |
1991 | val = rint(arg); | |
1992 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
1993 | arg = -arg; | |
1994 | val = rint(arg); | |
1995 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
1996 | } | |
92f5a8d4 | 1997 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
1998 | { |
1999 | arg = std::numeric_limits<T>::quiet_NaN(); | |
2000 | check_invalid(rint(arg)); | |
2001 | } | |
2002 | // F.9.6.6: | |
2003 | arg = 0; | |
2004 | val = round(arg); | |
2005 | BOOST_CHECK_EQUAL(val, 0); | |
2006 | BOOST_CHECK(signbit(val) == 0); | |
2007 | arg = -arg; | |
92f5a8d4 | 2008 | if (signbit(arg)) |
b32b8144 FG |
2009 | { |
2010 | val = round(arg); | |
2011 | BOOST_CHECK_EQUAL(val, 0); | |
2012 | BOOST_CHECK(signbit(val)); | |
2013 | } | |
92f5a8d4 | 2014 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
2015 | { |
2016 | arg = std::numeric_limits<T>::infinity(); | |
2017 | val = round(arg); | |
2018 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
2019 | arg = -arg; | |
2020 | val = round(arg); | |
2021 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
2022 | } | |
92f5a8d4 | 2023 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
2024 | { |
2025 | arg = std::numeric_limits<T>::quiet_NaN(); | |
2026 | check_invalid(round(arg)); | |
2027 | } | |
2028 | // F.9.6.8: | |
2029 | arg = 0; | |
2030 | val = trunc(arg); | |
2031 | BOOST_CHECK_EQUAL(val, 0); | |
2032 | BOOST_CHECK(signbit(val) == 0); | |
2033 | arg = -arg; | |
92f5a8d4 | 2034 | if (signbit(arg)) |
b32b8144 FG |
2035 | { |
2036 | val = trunc(arg); | |
2037 | BOOST_CHECK_EQUAL(val, 0); | |
2038 | BOOST_CHECK(signbit(val)); | |
2039 | } | |
92f5a8d4 | 2040 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
2041 | { |
2042 | arg = std::numeric_limits<T>::infinity(); | |
2043 | val = trunc(arg); | |
2044 | BOOST_CHECK_EQUAL(val, std::numeric_limits<T>::infinity()); | |
2045 | arg = -arg; | |
2046 | val = trunc(arg); | |
2047 | BOOST_CHECK_EQUAL(val, -std::numeric_limits<T>::infinity()); | |
2048 | } | |
92f5a8d4 | 2049 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 FG |
2050 | { |
2051 | arg = std::numeric_limits<T>::quiet_NaN(); | |
2052 | check_invalid(trunc(arg)); | |
2053 | } | |
2054 | // F.9.7.1: | |
92f5a8d4 | 2055 | arg = 0; |
b32b8144 | 2056 | arg2 = 2; |
92f5a8d4 | 2057 | val = fmod(arg, arg2); |
b32b8144 FG |
2058 | BOOST_CHECK_EQUAL(val, 0); |
2059 | BOOST_CHECK(signbit(val) == 0); | |
2060 | arg = -arg; | |
92f5a8d4 | 2061 | if (signbit(arg)) |
b32b8144 FG |
2062 | { |
2063 | val = fmod(arg, arg2); | |
2064 | BOOST_CHECK_EQUAL(val, 0); | |
2065 | BOOST_CHECK(signbit(val)); | |
2066 | } | |
92f5a8d4 | 2067 | if (std::numeric_limits<T>::has_infinity) |
b32b8144 FG |
2068 | { |
2069 | arg = std::numeric_limits<T>::infinity(); | |
2070 | check_invalid(fmod(arg, arg2)); | |
2071 | arg = -arg; | |
2072 | check_invalid(fmod(arg, arg2)); | |
92f5a8d4 | 2073 | arg = 2; |
b32b8144 FG |
2074 | arg2 = 0; |
2075 | check_invalid(fmod(arg, arg2)); | |
2076 | check_invalid(fmod(arg, -arg2)); | |
2077 | } | |
92f5a8d4 | 2078 | if (std::numeric_limits<T>::has_quiet_NaN) |
b32b8144 | 2079 | { |
92f5a8d4 | 2080 | arg = std::numeric_limits<T>::quiet_NaN(); |
b32b8144 FG |
2081 | arg2 = 2; |
2082 | check_invalid(fmod(arg, arg2)); | |
2083 | swap(arg, arg2); | |
2084 | check_invalid(fmod(arg, arg2)); | |
2085 | check_invalid(fmod(arg2, arg2)); | |
2086 | } | |
92f5a8d4 TL |
2087 | // |
2088 | // Bugs: | |
2089 | // | |
2090 | int sign = 0; | |
2091 | boost::math::lgamma(T(0.000001), &sign); | |
2092 | BOOST_CHECK_EQUAL(sign, 1); | |
2093 | sign = 0; | |
2094 | boost::math::lgamma(T(0.5), &sign); | |
2095 | BOOST_CHECK_EQUAL(sign, 1); | |
2096 | sign = 0; | |
2097 | boost::math::lgamma(T(0.9), &sign); | |
2098 | BOOST_CHECK_EQUAL(sign, 1); | |
2099 | sign = 0; | |
2100 | boost::math::lgamma(T(1.1), &sign); | |
2101 | BOOST_CHECK_EQUAL(sign, 1); | |
2102 | sign = 0; | |
2103 | boost::math::lgamma(T(1.9), &sign); | |
2104 | BOOST_CHECK_EQUAL(sign, 1); | |
2105 | sign = 0; | |
2106 | boost::math::lgamma(T(2.1), &sign); | |
2107 | BOOST_CHECK_EQUAL(sign, 1); | |
2108 | sign = 0; | |
2109 | boost::math::lgamma(T(20), &sign); | |
2110 | BOOST_CHECK_EQUAL(sign, 1); | |
2111 | sign = 0; | |
2112 | boost::math::lgamma(T(-0.0000000000001), &sign); | |
2113 | BOOST_CHECK_EQUAL(sign, -1); | |
2114 | sign = 0; | |
2115 | boost::math::lgamma(T(-0.5), &sign); | |
2116 | BOOST_CHECK_EQUAL(sign, -1); | |
2117 | sign = 0; | |
2118 | boost::math::lgamma(T(-1.5), &sign); | |
2119 | BOOST_CHECK_EQUAL(sign, 1); | |
2120 | sign = 0; | |
2121 | boost::math::lgamma(T(-2.5), &sign); | |
2122 | BOOST_CHECK_EQUAL(sign, -1); | |
2123 | sign = 0; | |
2124 | boost::math::lgamma(T(-3.5), &sign); | |
2125 | BOOST_CHECK_EQUAL(sign, 1); | |
b32b8144 FG |
2126 | } |
2127 | ||
f67539c2 TL |
2128 | template <class T> |
2129 | void test_c99_appendix_F_tgammaq_addon_for_float128() | |
2130 | { | |
2131 | #if defined(TEST_FLOAT128) | |
2132 | // Special tests of tgamma for positive and negative | |
2133 | // real values in the neighborhood of the origin. | |
2134 | ||
2135 | // At Wolfram Alpha: N[Gamma[1/3], 201] | |
2136 | const T tgamma_third | |
2137 | ( | |
2138 | "2." | |
2139 | "67893853470774763365569294097467764412868937795730" | |
2140 | "11009504283275904176101677438195409828890411887894" | |
2141 | "19159049200072263335719084569504472259977713367708" | |
2142 | "46976816728982305000321834255032224715694181755545" | |
2143 | ); | |
2144 | ||
2145 | // Create a string such as "1e-84", where 84 exemplifies (digits10*5 + 5)/6 | |
2146 | // and the exponent varies depending on the value of digits10 for the type. | |
2147 | // Consider, for instance digits10=100. In this case n_exp=(100*5 + 5)/6 = 84. | |
2148 | ||
2149 | const int n_exp =(std::max)(((std::numeric_limits<T>::digits10 * 5) + 5) / 6, 1); | |
2150 | ||
2151 | const T tgamma_tol("1e-" + boost::lexical_cast<std::string>(n_exp)); | |
2152 | ||
2153 | // Check tgamma(1/3 - n) for n in 0...24. | |
2154 | for(int n = 0; n < 25; ++n) | |
2155 | { | |
2156 | const T tgamma_val = tgamma(T((T(1) / T(3)) - T(n))); | |
2157 | ||
2158 | T tgamma_control(tgamma_third); | |
2159 | ||
2160 | for(unsigned int k = 0U; k < static_cast<unsigned int>(n); ++k) | |
2161 | { | |
2162 | tgamma_control *= -3; | |
2163 | tgamma_control /= ((3U * (k + 1U)) - 1U); | |
2164 | } | |
2165 | ||
2166 | BOOST_CHECK_CLOSE_FRACTION(tgamma_val, tgamma_control, tgamma_tol); | |
2167 | } | |
2168 | ||
2169 | // Check tgamma(1/3 + n) for n in 0...24. | |
2170 | for(unsigned int n = 0U; n < 25U; ++n) | |
2171 | { | |
2172 | const T tgamma_val = tgamma(T((T(1) / T(3)) + T(n))); | |
2173 | ||
2174 | T tgamma_control(tgamma_third); | |
2175 | ||
2176 | for(unsigned int k = 0U; k < n; ++k) | |
2177 | { | |
2178 | tgamma_control /= 3; | |
2179 | tgamma_control *= ((3U * (k + 1U)) - 2U); | |
2180 | } | |
2181 | ||
2182 | BOOST_CHECK_CLOSE_FRACTION(tgamma_val, tgamma_control, tgamma_tol); | |
2183 | } | |
2184 | #endif | |
2185 | } | |
2186 | ||
7c673cae FG |
2187 | int main() |
2188 | { | |
2189 | test_poison<float>(); | |
2190 | test_poison<double>(); | |
2191 | #ifdef TEST_MPF_50 | |
2192 | test<boost::multiprecision::mpf_float_50>(); | |
2193 | test<boost::multiprecision::mpf_float_100>(); | |
2194 | #endif | |
2195 | #ifdef TEST_MPFR_50 | |
b32b8144 | 2196 | std::cout << "Testing MPFR: " << MPFR_VERSION_STRING << std::endl; |
7c673cae FG |
2197 | test<boost::multiprecision::mpfr_float_50>(); |
2198 | test<boost::multiprecision::mpfr_float_100>(); | |
b32b8144 | 2199 | test_c99_appendix_F<boost::multiprecision::mpfr_float_50>(); |
7c673cae FG |
2200 | #endif |
2201 | #ifdef TEST_MPFI_50 | |
2202 | test<boost::multiprecision::mpfi_float_50>(); | |
2203 | test<boost::multiprecision::mpfi_float_100>(); | |
2204 | #endif | |
2205 | #ifdef TEST_CPP_DEC_FLOAT | |
2206 | test<boost::multiprecision::cpp_dec_float_50>(); | |
11fdf7f2 | 2207 | #if !(defined(__GNUC__) && defined(_WIN32)) // Object file too large otherwise |
7c673cae | 2208 | test<boost::multiprecision::cpp_dec_float_100>(); |
b32b8144 FG |
2209 | #endif |
2210 | test_c99_appendix_F<boost::multiprecision::cpp_dec_float_50>(); | |
2211 | #endif | |
2212 | #ifdef TEST_CPP_DEC_FLOAT_2 | |
7c673cae FG |
2213 | // Some "peculiar" digit counts which stress our code: |
2214 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<65> > >(); | |
11fdf7f2 | 2215 | #if !(defined(__GNUC__) && defined(_WIN32)) // Object file too large otherwise |
7c673cae | 2216 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<64> > >(); |
b32b8144 FG |
2217 | #endif |
2218 | #endif | |
2219 | #ifdef TEST_CPP_DEC_FLOAT_3 | |
7c673cae | 2220 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<63> > >(); |
11fdf7f2 | 2221 | #if !(defined(__GNUC__) && defined(_WIN32)) // Object file too large otherwise |
7c673cae | 2222 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<62> > >(); |
b32b8144 FG |
2223 | #endif |
2224 | #endif | |
2225 | #ifdef TEST_CPP_DEC_FLOAT_4 | |
7c673cae | 2226 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<61, long long> > >(); |
11fdf7f2 | 2227 | #if !(defined(__GNUC__) && defined(_WIN32)) // Object file too large otherwise |
7c673cae | 2228 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<60, long long> > >(); |
b32b8144 FG |
2229 | #endif |
2230 | #endif | |
2231 | #ifdef TEST_CPP_DEC_FLOAT_5 | |
1e59de90 TL |
2232 | #if defined(__MINGW32__) || defined(__MINGW64__) // Weak workaround just to, let's say, get green |
2233 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<59, long long > > >(); | |
2234 | #else | |
11fdf7f2 | 2235 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<59, long long, std::allocator<char> > > >(); |
1e59de90 | 2236 | #endif |
7c673cae | 2237 | #endif |
92f5a8d4 | 2238 | #ifdef TEST_CPP_DEC_FLOAT_6 |
1e59de90 TL |
2239 | #if defined(__MINGW32__) || defined(__MINGW64__) // Weak workaround just to, let's say, get green |
2240 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<58, long long > > >(); | |
2241 | #else | |
92f5a8d4 | 2242 | test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<58, long long, std::allocator<char> > > >(); |
1e59de90 | 2243 | #endif |
7c673cae FG |
2244 | #endif |
2245 | #ifdef TEST_CPP_BIN_FLOAT | |
2246 | test<boost::multiprecision::cpp_bin_float_50>(); | |
2247 | test<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<100>, boost::multiprecision::et_on> >(); | |
11fdf7f2 TL |
2248 | #endif |
2249 | #ifdef TEST_CPP_BIN_FLOAT_2 | |
1e59de90 | 2250 | test<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<35, boost::multiprecision::digit_base_10, std::allocator<char>, long long> > >(); |
11fdf7f2 TL |
2251 | #endif |
2252 | #ifdef TEST_CPP_BIN_FLOAT_3 | |
b32b8144 FG |
2253 | test_c99_appendix_F<boost::multiprecision::cpp_bin_float_50>(); |
2254 | test_c99_appendix_F<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<100>, boost::multiprecision::et_on> >(); | |
7c673cae FG |
2255 | #endif |
2256 | #ifdef TEST_FLOAT128 | |
2257 | test<boost::multiprecision::float128>(); | |
b32b8144 | 2258 | test_c99_appendix_F<boost::multiprecision::float128>(); |
f67539c2 | 2259 | test_c99_appendix_F_tgammaq_addon_for_float128<boost::multiprecision::float128>(); |
7c673cae | 2260 | #endif |
1e59de90 TL |
2261 | #ifdef TEST_MPFI_DEBUG_ADAPTOR |
2262 | test<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfi_float_backend<50> > > >(); | |
2263 | //test_c99_appendix_F<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfi_float_backend<50> > > >(); | |
2264 | #endif | |
2265 | #ifdef TEST_MPFR_DEBUG_ADAPTOR | |
2266 | test<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<50> > > >(); | |
2267 | test_c99_appendix_F<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<50> > > >(); | |
2268 | #endif | |
2269 | #ifdef TEST_MPFI_LOGGED_ADAPTOR | |
2270 | test<boost::multiprecision::number<boost::multiprecision::logged_adaptor<boost::multiprecision::mpfi_float_backend<50> > > >(); | |
2271 | //test_c99_appendix_F<boost::multiprecision::number<boost::multiprecision::logged_adaptor<boost::multiprecision::mpfi_float_backend<50> > > >(); | |
2272 | #endif | |
2273 | #ifdef TEST_MPFR_LOGGED_ADAPTOR | |
2274 | test<boost::multiprecision::number<boost::multiprecision::logged_adaptor<boost::multiprecision::mpfr_float_backend<50> > > >(); | |
2275 | test_c99_appendix_F<boost::multiprecision::number<boost::multiprecision::logged_adaptor<boost::multiprecision::mpfr_float_backend<50> > > >(); | |
2276 | #endif | |
7c673cae FG |
2277 | |
2278 | return boost::report_errors(); | |
2279 | } |