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[ceph.git] / ceph / src / boost / libs / math / test / test_gamma.hpp
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7c673cae
FG		 1// Copyright John Maddock 2006.
2// Copyright Paul A. Bristow 2007, 2009
3// Use, modification and distribution are subject to the
4// Boost Software License, Version 1.0. (See accompanying file
5// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
6
7#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
8
9#include <boost/math/concepts/real_concept.hpp>
10#include <boost/math/special_functions/math_fwd.hpp>
11#define BOOST_TEST_MAIN
12#include <boost/test/unit_test.hpp>
92f5a8d4 13#include <boost/test/tools/floating_point_comparison.hpp>
7c673cae
FG		 14#include <boost/math/tools/stats.hpp>
15#include <boost/math/tools/test.hpp>
16#include <boost/math/constants/constants.hpp>
17#include <boost/type_traits/is_floating_point.hpp>
18#include <boost/array.hpp>
19#include "functor.hpp"
20
21#include "handle_test_result.hpp"
22#include "table_type.hpp"
23
24#ifndef SC_
25#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
26#endif
27
28template <class Real, class T>
29void do_test_gamma(const T& data, const char* type_name, const char* test_name)
30{
31#if !(defined(ERROR_REPORTING_MODE) && (!defined(TGAMMA_FUNCTION_TO_TEST) || !defined(LGAMMA_FUNCTION_TO_TEST)))
32 typedef Real value_type;
33
34 typedef value_type (*pg)(value_type);
35#ifdef TGAMMA_FUNCTION_TO_TEST
36 pg funcp = TGAMMA_FUNCTION_TO_TEST;
37#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
38 pg funcp = boost::math::tgamma<value_type>;
39#else
40 pg funcp = boost::math::tgamma;
41#endif
42
43 boost::math::tools::test_result<value_type> result;
44
45 std::cout << "Testing " << test_name << " with type " << type_name
46 << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
47
48 //
49 // test tgamma against data:
50 //
51 result = boost::math::tools::test_hetero<Real>(
52 data,
53 bind_func<Real>(funcp, 0),
54 extract_result<Real>(1));
55 handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma", test_name);
56 //
57 // test lgamma against data:
58 //
59#ifdef LGAMMA_FUNCTION_TO_TEST
60 funcp = LGAMMA_FUNCTION_TO_TEST;
61#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
62 funcp = boost::math::lgamma<value_type>;
63#else
64 funcp = boost::math::lgamma;
65#endif
66 result = boost::math::tools::test_hetero<Real>(
67 data,
68 bind_func<Real>(funcp, 0),
69 extract_result<Real>(2));
70 handle_test_result(result, data[result.worst()], result.worst(), type_name, "lgamma", test_name);
71
72 std::cout << std::endl;
73#endif
74}
75
76template <class Real, class T>
77void do_test_gammap1m1(const T& data, const char* type_name, const char* test_name)
78{
79#if !(defined(ERROR_REPORTING_MODE) && !defined(TGAMMA1PM1_FUNCTION_TO_TEST))
80 typedef Real value_type;
81
82 typedef value_type (*pg)(value_type);
83#ifdef TGAMMA1PM1_FUNCTION_TO_TEST
84 pg funcp = TGAMMA1PM1_FUNCTION_TO_TEST;
85#elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
86 pg funcp = boost::math::tgamma1pm1<value_type>;
87#else
88 pg funcp = boost::math::tgamma1pm1;
89#endif
90
91 boost::math::tools::test_result<value_type> result;
92
93 std::cout << "Testing " << test_name << " with type " << type_name
94 << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
95
96 //
97 // test tgamma1pm1 against data:
98 //
99 result = boost::math::tools::test_hetero<Real>(
100 data,
101 bind_func<Real>(funcp, 0),
102 extract_result<Real>(1));
103 handle_test_result(result, data[result.worst()], result.worst(), type_name, "tgamma1pm1", test_name);
104 std::cout << std::endl;
105#endif
106}
107
108template <class T>
109void test_gamma(T, const char* name)
110{
111 //
112 // The actual test data is rather verbose, so it's in a separate file
113 //
114 // The contents are as follows, each row of data contains
115 // three items, input value, gamma and lgamma:
116 //
117 // gamma and lgamma at integer and half integer values:
118 // boost::array<boost::array<T, 3>, N> factorials;
119 //
120 // gamma and lgamma for z near 0:
121 // boost::array<boost::array<T, 3>, N> near_0;
122 //
123 // gamma and lgamma for z near 1:
124 // boost::array<boost::array<T, 3>, N> near_1;
125 //
126 // gamma and lgamma for z near 2:
127 // boost::array<boost::array<T, 3>, N> near_2;
128 //
129 // gamma and lgamma for z near -10:
130 // boost::array<boost::array<T, 3>, N> near_m10;
131 //
132 // gamma and lgamma for z near -55:
133 // boost::array<boost::array<T, 3>, N> near_m55;
134 //
135 // The last two cases are chosen more or less at random,
136 // except that one is even and the other odd, and both are
137 // at negative poles. The data near zero also tests near
138 // a pole, the data near 1 and 2 are to probe lgamma as
139 // the result -> 0.
140 //
141# include "test_gamma_data.ipp"
142
143 do_test_gamma<T>(factorials, name, "factorials");
144 do_test_gamma<T>(near_0, name, "near 0");
145 do_test_gamma<T>(near_1, name, "near 1");
146 do_test_gamma<T>(near_2, name, "near 2");
147 do_test_gamma<T>(near_m10, name, "near -10");
148 do_test_gamma<T>(near_m55, name, "near -55");
149
150 //
151 // And now tgamma1pm1 which computes gamma(1+dz)-1:
152 //
153 do_test_gammap1m1<T>(gammap1m1_data, name, "tgamma1pm1(dz)");
154}
155
156template <class T>
157void test_spots(T, const char* name)
158{
159 BOOST_MATH_STD_USING
160
161 std::cout << "Testing type " << name << std::endl;
162 //
163 // basic sanity checks, tolerance is 50 epsilon expressed as a percentage:
164 //
165 T tolerance = boost::math::tools::epsilon<T>() * 5000;
166 //
167 // Extra tolerance for real_concept checks which use less accurate code:
168 //
169 T extra_tol = boost::is_floating_point<T>::value ? 1 : 20;
170
171 BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(3.5)), static_cast<T>(3.3233509704478425511840640312646472177454052302295L), tolerance);
172 BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.125)), static_cast<T>(7.5339415987976119046992298412151336246104195881491L), tolerance);
173 BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-0.125)), static_cast<T>(-8.7172188593831756100190140408231437691829605421405L), tolerance);
174 BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-3.125)), static_cast<T>(1.1668538708507675587790157356605097019141636072094L), tolerance);
175 // Lower tolerance on this one, is only really needed on Linux x86 systems, result is mostly down to std lib accuracy:
176 BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-53249.0 / 1024)), static_cast<T>(-1.2646559519067605488251406578743995122462767733517e-65L), tolerance * 3);
177
178 // Very small values, from a bug report by Rocco Romeo:
179 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -12)), static_cast<T>(4095.42302574977164107280305038926932586783813167844235368772L), tolerance);
180 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -14)), static_cast<T>(16383.4228446989052821887834066513143241996925504706815681204L), tolerance * 2);
181 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -25)), static_cast<T>(3.35544314227843645746319656372890833248893111091576093784981e7L), tolerance);
182 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -27)), static_cast<T>(1.34217727422784342467508497080056807355928046680073490038257e8L), tolerance);
183 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -29)), static_cast<T>(5.36870911422784336940727488260481582524683632281496706906706e8L), tolerance);
184 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -35)), static_cast<T>(3.43597383674227843351272524573929605605651956475300480712955e10L), tolerance);
185 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -54)), static_cast<T>(1.80143985094819834227843350984671942971248427509141008005685e16L), tolerance);
186 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -64)), static_cast<T>(1.84467440737095516154227843350984671394471047428598176073616e19L), tolerance);
187 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -66)), static_cast<T>(7.37869762948382064634227843350984671394068921181531525785592922800e19L), tolerance);
188 BOOST_CHECK_CLOSE(::boost::math::tgamma(ldexp(static_cast<T>(1), -33)), static_cast<T>(8.58993459142278433521360841138215453639282914047157884932317481977e9L), tolerance);
189 BOOST_CHECK_CLOSE(::boost::math::tgamma(4 / boost::math::tools::max_value<T>()), boost::math::tools::max_value<T>() / 4, tolerance);
190 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -12)), static_cast<T>(-4096.57745718775464971331294488248972086965434176847741450728L), tolerance);
191 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -14)), static_cast<T>(-16384.5772760354695939336148831283410381037202353359487504624L), tolerance * 2);
192 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -25)), static_cast<T>(-3.35544325772156943776992988569766723938420508937071533029983e7L), tolerance);
193 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -27)), static_cast<T>(-1.34217728577215672270574319043497450577151370942651414968627e8L), tolerance);
194 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -29)), static_cast<T>(-5.36870912577215666743793215770406791630514293641886249382012e8L), tolerance);
195 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -34)), static_cast<T>(-1.71798691845772156649591034966100693794360502123447124928244e10L), tolerance);
196 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -54)), static_cast<T>(-1.80143985094819845772156649015329155101490229157245556564920e16L), tolerance);
197 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -64)), static_cast<T>(-1.84467440737095516165772156649015328606601289230246224694513e19L), tolerance);
198 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -66)), static_cast<T>(-7.37869762948382064645772156649015328606199162983179574406439e19L), tolerance);
199 BOOST_CHECK_CLOSE(::boost::math::tgamma(-ldexp(static_cast<T>(1), -33)), static_cast<T>(-8.58993459257721566501667413261977598620193488449233402857632e9L), tolerance);
200 BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 / boost::math::tools::max_value<T>()), -boost::math::tools::max_value<T>() / 4, tolerance);
201 BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -22)), static_cast<T>(-4.19430442278467170746130758391572421252211886167956799318843e6L), tolerance);
202 BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -22)), static_cast<T>(4.19430357721600151046968956086404748206205391186399889108944e6L), tolerance);
203 BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -20)), static_cast<T>(43690.7294216755534842491085530510391932288379640970386378756L), tolerance * extra_tol);
204 BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -20)), static_cast<T>(-43690.6039118698506165317137699180871126338425941292693705533L), tolerance * extra_tol);
205 if(boost::math::tools::digits<T>() > 50)
206 {
207 BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -44)), static_cast<T>(-1.75921860444164227843350985473932247549232492467032584051825e13L), tolerance);
208 BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -44)), static_cast<T>(1.75921860444155772156649016131144377791001546933519242218430e13L), tolerance);
209 BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -44)), static_cast<T>(7.33007751850729421569517998006564998020333048893618664936994e11L), tolerance * extra_tol);
210 BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -44)), static_cast<T>(-7.33007751850603911763815347967171096249288790373790093559568e11L), tolerance * extra_tol);
211 }
212 if(boost::math::tools::digits<T>() > 60)
213 {
214 BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 + ldexp(static_cast<T>(1), -55)), static_cast<T>(-3.60287970189639684227843350984671785799289582631555600561524e16L), tolerance);
215 BOOST_CHECK_CLOSE(::boost::math::tgamma(-1 - ldexp(static_cast<T>(1), -55)), static_cast<T>(3.60287970189639675772156649015328997929531384279596450489170e16L), tolerance * 3);
216 BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 + ldexp(static_cast<T>(1), -55)), static_cast<T>(1.50119987579016539608823618465835611632004877549994080474627e15L), tolerance * extra_tol);
217 BOOST_CHECK_CLOSE(::boost::math::tgamma(-4 - ldexp(static_cast<T>(1), -55)), static_cast<T>(-1.50119987579016527057843048200831672241827850458884790004313e15L), tolerance * extra_tol);
218 }
219
220#ifdef BOOST_MSVC
221#pragma warning(push)
222#pragma warning(disable:4127)
223#endif
224 // Test bug fixes in tgamma:
225 if(std::numeric_limits<T>::max_exponent10 > 244)
226 {
227 BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(142.75)), static_cast<T>(7.8029496083318133344429227511387928576820621466e244L), tolerance * 4);
228 }
229#ifdef BOOST_MSVC
230#pragma warning(pop)
231#endif
232 // An extra fudge factor for real_concept which has a less accurate tgamma:
233 T tolerance_tgamma_extra = std::numeric_limits<T>::is_specialized ? 1 : 10;
234
235 int sign = 1;
236 BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(3.5), &sign), static_cast<T>(1.2009736023470742248160218814507129957702389154682L), tolerance);
237 BOOST_CHECK(sign == 1);
238 BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(0.125), &sign), static_cast<T>(2.0194183575537963453202905211670995899482809521344L), tolerance);
239 BOOST_CHECK(sign == 1);
240 BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-0.125), &sign), static_cast<T>(2.1653002489051702517540619481440174064962195287626L), tolerance);
241 BOOST_CHECK(sign == -1);
242 BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-3.125), &sign), static_cast<T>(0.1543111276840418242676072830970532952413339012367L), tolerance * tolerance_tgamma_extra);
243 BOOST_CHECK(sign == 1);
244 BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-53249.0 / 1024), &sign), static_cast<T>(-149.43323093420259741100038126078721302600128285894L), tolerance);
245 BOOST_CHECK(sign == -1);
246 // Very small values, from a bug report by Rocco Romeo:
247 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -12), &sign), log(static_cast<T>(4095.42302574977164107280305038926932586783813167844235368772L)), tolerance);
248 BOOST_CHECK(sign == 1);
249 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -14), &sign), log(static_cast<T>(16383.4228446989052821887834066513143241996925504706815681204L)), tolerance);
250 BOOST_CHECK(sign == 1);
251 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -25), &sign), log(static_cast<T>(3.35544314227843645746319656372890833248893111091576093784981e7L)), tolerance);
252 BOOST_CHECK(sign == 1);
253 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -27), &sign), log(static_cast<T>(1.34217727422784342467508497080056807355928046680073490038257e8L)), tolerance);
254 BOOST_CHECK(sign == 1);
255 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -29), &sign), log(static_cast<T>(5.36870911422784336940727488260481582524683632281496706906706e8L)), tolerance);
256 BOOST_CHECK(sign == 1);
257 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -35), &sign), log(static_cast<T>(3.43597383674227843351272524573929605605651956475300480712955e10L)), tolerance);
258 BOOST_CHECK(sign == 1);
259 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -54), &sign), log(static_cast<T>(1.80143985094819834227843350984671942971248427509141008005685e16L)), tolerance);
260 BOOST_CHECK(sign == 1);
261 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -64), &sign), log(static_cast<T>(1.84467440737095516154227843350984671394471047428598176073616e19L)), tolerance);
262 BOOST_CHECK(sign == 1);
263 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -66), &sign), log(static_cast<T>(7.37869762948382064634227843350984671394068921181531525785592922800e19L)), tolerance);
264 BOOST_CHECK(sign == 1);
265 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(1), -33), &sign), log(static_cast<T>(8.58993459142278433521360841138215453639282914047157884932317481977e9L)), tolerance);
266 BOOST_CHECK(sign == 1);
267 BOOST_CHECK_CLOSE(::boost::math::lgamma(4 / boost::math::tools::max_value<T>(), &sign), log(boost::math::tools::max_value<T>() / 4), tolerance);
268 BOOST_CHECK(sign == 1);
269 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -12), &sign), log(-static_cast<T>(-4096.57745718775464971331294488248972086965434176847741450728L)), tolerance);
270 BOOST_CHECK(sign == -1);
271 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -14), &sign), log(-static_cast<T>(-16384.5772760354695939336148831283410381037202353359487504624L)), tolerance);
272 BOOST_CHECK(sign == -1);
273 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -25), &sign), log(-static_cast<T>(-3.35544325772156943776992988569766723938420508937071533029983e7L)), tolerance);
274 BOOST_CHECK(sign == -1);
275 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -27), &sign), log(-static_cast<T>(-1.34217728577215672270574319043497450577151370942651414968627e8L)), tolerance);
276 BOOST_CHECK(sign == -1);
277 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -29), &sign), log(-static_cast<T>(-5.36870912577215666743793215770406791630514293641886249382012e8L)), tolerance);
278 BOOST_CHECK(sign == -1);
279 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -34), &sign), log(-static_cast<T>(-1.71798691845772156649591034966100693794360502123447124928244e10L)), tolerance);
280 BOOST_CHECK(sign == -1);
281 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -54), &sign), log(-static_cast<T>(-1.80143985094819845772156649015329155101490229157245556564920e16L)), tolerance);
282 BOOST_CHECK(sign == -1);
283 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -64), &sign), log(-static_cast<T>(-1.84467440737095516165772156649015328606601289230246224694513e19L)), tolerance);
284 BOOST_CHECK(sign == -1);
285 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -66), &sign), log(-static_cast<T>(-7.37869762948382064645772156649015328606199162983179574406439e19L)), tolerance);
286 BOOST_CHECK(sign == -1);
287 BOOST_CHECK_CLOSE(::boost::math::lgamma(-ldexp(static_cast<T>(1), -33), &sign), log(-static_cast<T>(-8.58993459257721566501667413261977598620193488449233402857632e9L)), tolerance);
288 BOOST_CHECK(sign == -1);
289 BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 / boost::math::tools::max_value<T>(), &sign), log(boost::math::tools::max_value<T>() / 4), tolerance);
290 BOOST_CHECK(sign == -1);
291 BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 + ldexp(static_cast<T>(1), -22), &sign), log(static_cast<T>(4.19430442278467170746130758391572421252211886167956799318843e6L)), tolerance);
292 BOOST_CHECK(sign == -1);
293 BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 - ldexp(static_cast<T>(1), -22), &sign), log(static_cast<T>(4.19430357721600151046968956086404748206205391186399889108944e6L)), tolerance);
294 BOOST_CHECK(sign == 1);
295 BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 + ldexp(static_cast<T>(1), -20), &sign), log(static_cast<T>(43690.7294216755534842491085530510391932288379640970386378756L)), tolerance * extra_tol);
296 BOOST_CHECK(sign == 1);
297 BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 - ldexp(static_cast<T>(1), -20), &sign), log(static_cast<T>(43690.6039118698506165317137699180871126338425941292693705533L)), tolerance * extra_tol);
298 BOOST_CHECK(sign == -1);
299 if(boost::math::tools::digits<T>() > 50)
300 {
301 BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 + ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(1.75921860444164227843350985473932247549232492467032584051825e13L)), tolerance);
302 BOOST_CHECK(sign == -1);
303 BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 - ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(1.75921860444155772156649016131144377791001546933519242218430e13L)), tolerance);
304 BOOST_CHECK(sign == 1);
305 BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 + ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(7.33007751850729421569517998006564998020333048893618664936994e11L)), tolerance * extra_tol);
306 BOOST_CHECK(sign == 1);
307 BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 - ldexp(static_cast<T>(1), -44), &sign), log(static_cast<T>(7.33007751850603911763815347967171096249288790373790093559568e11L)), tolerance * extra_tol);
308 BOOST_CHECK(sign == -1);
309 }
310 if(boost::math::tools::digits<T>() > 60)
311 {
312 BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 + ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(3.60287970189639684227843350984671785799289582631555600561524e16L)), tolerance);
313 BOOST_CHECK(sign == -1);
314 BOOST_CHECK_CLOSE(::boost::math::lgamma(-1 - ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(3.60287970189639675772156649015328997929531384279596450489170e16L)), tolerance);
315 BOOST_CHECK(sign == 1);
316 BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 + ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(1.50119987579016539608823618465835611632004877549994080474627e15L)), tolerance * extra_tol);
317 BOOST_CHECK(sign == 1);
318 BOOST_CHECK_CLOSE(::boost::math::lgamma(-4 - ldexp(static_cast<T>(1), -55), &sign), log(static_cast<T>(1.50119987579016527057843048200831672241827850458884790004313e15L)), tolerance * extra_tol);
319 BOOST_CHECK(sign == -1);
320 }
321
322 if(std::numeric_limits<T>::has_denorm && std::numeric_limits<T>::has_infinity && (boost::math::isinf)(1 / std::numeric_limits<T>::denorm_min()))
323 {
324 BOOST_CHECK_EQUAL(boost::math::tgamma(-std::numeric_limits<T>::denorm_min()), -std::numeric_limits<T>::infinity());
325 BOOST_CHECK_EQUAL(boost::math::tgamma(std::numeric_limits<T>::denorm_min()), std::numeric_limits<T>::infinity());
326 }
92f5a8d4
TL		 327 //
328 // Extra large values for lgamma, see https://github.com/boostorg/math/issues/242
329 //
330 if (boost::math::tools::digits<T>() >= std::numeric_limits<double>::digits)
331 {
332 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(11103367432951928LL), 32)), static_cast<T>(2.7719825960021351251696385101478518546793793286704974382373670822285114741208958e27L), tolerance);
333 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(11103367432951928LL), 62)), static_cast<T>(4.0411767712186990905102512019058204792570873633363159e36L), tolerance);
334 BOOST_CHECK_CLOSE(::boost::math::lgamma(ldexp(static_cast<T>(11103367432951928LL), 326)), static_cast<T>(3.9754720509185529233002820161357111676582583112671658e116L), tolerance);
335 }
20effc67
TL		 336 //
337 // Super small values may cause spurious overflow:
338 //
339 if (std::numeric_limits<T>::is_specialized && std::numeric_limits<T>::has_denorm)
340 {
341 T value = (std::numeric_limits<T>::min)();
342 while (value != 0)
343 {
344 BOOST_CHECK((boost::math::isfinite)(boost::math::lgamma(value)));
345 value /= 2;
346 }
347 }
7c673cae
FG		 348}
349
Ceph