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git.ipfire.org Git - thirdparty/gcc.git/blob - libstdc++-v3/testsuite/special_functions/06_comp_ellint_3/check_value.cc
1 // { dg-do run { target c++11 } }
2 // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
4 // Copyright (C) 2016-2023 Free Software Foundation, Inc.
6 // This file is part of the GNU ISO C++ Library. This library is free
7 // software; you can redistribute it and/or modify it under the
8 // terms of the GNU General Public License as published by the
9 // Free Software Foundation; either version 3, or (at your option)
12 // This library is distributed in the hope that it will be useful,
13 // but WITHOUT ANY WARRANTY; without even the implied warranty of
14 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 // GNU General Public License for more details.
17 // You should have received a copy of the GNU General Public License along
18 // with this library; see the file COPYING3. If not see
19 // <http://www.gnu.org/licenses/>.
22 // Compare against values generated by the GNU Scientific Library.
23 // The GSL can be found on the web: http://www.gnu.org/software/gsl/
26 #if defined(__TEST_DEBUG)
31 std::cout << "line " << __LINE__ \
32 << " max_abs_frac = " << max_abs_frac \
36 # include <testsuite_hooks.h>
38 #include <specfun_testcase.h>
40 // Test data for k=-0.90000000000000002.
41 // max(|f - f_Boost|): 4.4408920985006262e-16 at index 5
42 // max(|f - f_Boost| / |f_Boost|): 1.2838262090802751e-16
43 // mean(f - f_Boost): 4.4408920985006264e-17
44 // variance(f - f_Boost): 2.4347558803117648e-34
45 // stddev(f - f_Boost): 1.5603704304785339e-17
46 const testcase_comp_ellint_3
<double>
49 { 2.2805491384227703, -0.90000000000000002, 0.0000000000000000, 0.0 },
50 { 2.4295011187834885, -0.90000000000000002, 0.10000000000000001, 0.0 },
51 { 2.6076835743348412, -0.90000000000000002, 0.20000000000000001, 0.0 },
52 { 2.8256506968858512, -0.90000000000000002, 0.30000000000000004, 0.0 },
53 { 3.1000689868578619, -0.90000000000000002, 0.40000000000000002, 0.0 },
54 { 3.4591069002104677, -0.90000000000000002, 0.50000000000000000, 0.0 },
55 { 3.9549939883570229, -0.90000000000000002, 0.60000000000000009, 0.0 },
56 { 4.6985482312992435, -0.90000000000000002, 0.70000000000000007, 0.0 },
57 { 5.9820740813645710, -0.90000000000000002, 0.80000000000000004, 0.0 },
58 { 8.9942562031858699, -0.90000000000000002, 0.90000000000000002, 0.0 },
60 const double toler001
= 2.5000000000000020e-13;
62 // Test data for k=-0.80000000000000004.
63 // max(|f - f_Boost|): 1.7763568394002505e-15 at index 8
64 // max(|f - f_Boost| / |f_Boost|): 4.1949393471095187e-16
65 // mean(f - f_Boost): 9.5479180117763459e-16
66 // variance(f - f_Boost): 5.4782007307014711e-34
67 // stddev(f - f_Boost): 2.3405556457178006e-17
68 const testcase_comp_ellint_3
<double>
71 { 1.9953027776647294, -0.80000000000000004, 0.0000000000000000, 0.0 },
72 { 2.1172616484005085, -0.80000000000000004, 0.10000000000000001, 0.0 },
73 { 2.2624789434186798, -0.80000000000000004, 0.20000000000000001, 0.0 },
74 { 2.4392042002725698, -0.80000000000000004, 0.30000000000000004, 0.0 },
75 { 2.6604037035529728, -0.80000000000000004, 0.40000000000000002, 0.0 },
76 { 2.9478781158239751, -0.80000000000000004, 0.50000000000000000, 0.0 },
77 { 3.3418121892288055, -0.80000000000000004, 0.60000000000000009, 0.0 },
78 { 3.9268876980046397, -0.80000000000000004, 0.70000000000000007, 0.0 },
79 { 4.9246422058196071, -0.80000000000000004, 0.80000000000000004, 0.0 },
80 { 7.2263259298637132, -0.80000000000000004, 0.90000000000000002, 0.0 },
82 const double toler002
= 2.5000000000000020e-13;
84 // Test data for k=-0.69999999999999996.
85 // max(|f - f_Boost|): 4.4408920985006262e-16 at index 3
86 // max(|f - f_Boost| / |f_Boost|): 1.9832236886714888e-16
87 // mean(f - f_Boost): -1.5543122344752191e-16
88 // variance(f - f_Boost): 2.9825759533819119e-33
89 // stddev(f - f_Boost): 5.4612965066748680e-17
90 const testcase_comp_ellint_3
<double>
93 { 1.8456939983747234, -0.69999999999999996, 0.0000000000000000, 0.0 },
94 { 1.9541347343119564, -0.69999999999999996, 0.10000000000000001, 0.0 },
95 { 2.0829290325820202, -0.69999999999999996, 0.20000000000000001, 0.0 },
96 { 2.2392290510988535, -0.69999999999999996, 0.30000000000000004, 0.0 },
97 { 2.4342502915307880, -0.69999999999999996, 0.40000000000000002, 0.0 },
98 { 2.6868019968236996, -0.69999999999999996, 0.50000000000000000, 0.0 },
99 { 3.0314573496746742, -0.69999999999999996, 0.60000000000000009, 0.0 },
100 { 3.5408408771788564, -0.69999999999999996, 0.70000000000000007, 0.0 },
101 { 4.4042405729076961, -0.69999999999999996, 0.80000000000000004, 0.0 },
102 { 6.3796094177887754, -0.69999999999999996, 0.90000000000000002, 0.0 },
104 const double toler003
= 2.5000000000000020e-13;
106 // Test data for k=-0.59999999999999998.
107 // max(|f - f_Boost|): 4.4408920985006262e-16 at index 2
108 // max(|f - f_Boost| / |f_Boost|): 2.2547200163366559e-16
109 // mean(f - f_Boost): -1.9984014443252818e-16
110 // variance(f - f_Boost): 4.9303806576313241e-33
111 // stddev(f - f_Boost): 7.0216669371534022e-17
112 const testcase_comp_ellint_3
<double>
115 { 1.7507538029157526, -0.59999999999999998, 0.0000000000000000, 0.0 },
116 { 1.8508766487100685, -0.59999999999999998, 0.10000000000000001, 0.0 },
117 { 1.9695980282802217, -0.59999999999999998, 0.20000000000000001, 0.0 },
118 { 2.1134154405060599, -0.59999999999999998, 0.30000000000000004, 0.0 },
119 { 2.2925036420985130, -0.59999999999999998, 0.40000000000000002, 0.0 },
120 { 2.5239007084492711, -0.59999999999999998, 0.50000000000000000, 0.0 },
121 { 2.8388723099514972, -0.59999999999999998, 0.60000000000000009, 0.0 },
122 { 3.3029735898397159, -0.59999999999999998, 0.70000000000000007, 0.0 },
123 { 4.0867036409261832, -0.59999999999999998, 0.80000000000000004, 0.0 },
124 { 5.8709993116265604, -0.59999999999999998, 0.90000000000000002, 0.0 },
126 const double toler004
= 2.5000000000000020e-13;
128 // Test data for k=-0.50000000000000000.
129 // max(|f - f_Boost|): 4.4408920985006262e-16 at index 3
130 // max(|f - f_Boost| / |f_Boost|): 2.1900131385114407e-16
131 // mean(f - f_Boost): 2.4424906541753446e-16
132 // variance(f - f_Boost): 7.3651365379430888e-33
133 // stddev(f - f_Boost): 8.5820373676319358e-17
134 const testcase_comp_ellint_3
<double>
137 { 1.6857503548125961, -0.50000000000000000, 0.0000000000000000, 0.0 },
138 { 1.7803034946545482, -0.50000000000000000, 0.10000000000000001, 0.0 },
139 { 1.8922947612264021, -0.50000000000000000, 0.20000000000000001, 0.0 },
140 { 2.0277924458111314, -0.50000000000000000, 0.30000000000000004, 0.0 },
141 { 2.1962905366178065, -0.50000000000000000, 0.40000000000000002, 0.0 },
142 { 2.4136715042011945, -0.50000000000000000, 0.50000000000000000, 0.0 },
143 { 2.7090491861753558, -0.50000000000000000, 0.60000000000000009, 0.0 },
144 { 3.1433945297859229, -0.50000000000000000, 0.70000000000000007, 0.0 },
145 { 3.8750701888108070, -0.50000000000000000, 0.80000000000000004, 0.0 },
146 { 5.5355132096026463, -0.50000000000000000, 0.90000000000000002, 0.0 },
148 const double toler005
= 2.5000000000000020e-13;
150 // Test data for k=-0.39999999999999991.
151 // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9
152 // max(|f - f_Boost| / |f_Boost|): 4.1718164615986397e-16
153 // mean(f - f_Boost): 6.2172489379008762e-16
154 // variance(f - f_Boost): 1.6458949750907531e-31
155 // stddev(f - f_Boost): 4.0569631192441877e-16
156 const testcase_comp_ellint_3
<double>
159 { 1.6399998658645112, -0.39999999999999991, 0.0000000000000000, 0.0 },
160 { 1.7306968836847190, -0.39999999999999991, 0.10000000000000001, 0.0 },
161 { 1.8380358826317627, -0.39999999999999991, 0.20000000000000001, 0.0 },
162 { 1.9677924132520139, -0.39999999999999991, 0.30000000000000004, 0.0 },
163 { 2.1289968719280026, -0.39999999999999991, 0.40000000000000002, 0.0 },
164 { 2.3367461373176512, -0.39999999999999991, 0.50000000000000000, 0.0 },
165 { 2.6186940209850191, -0.39999999999999991, 0.60000000000000009, 0.0 },
166 { 3.0327078743873246, -0.39999999999999991, 0.70000000000000007, 0.0 },
167 { 3.7289548002199902, -0.39999999999999991, 0.80000000000000004, 0.0 },
168 { 5.3055535102872513, -0.39999999999999991, 0.90000000000000002, 0.0 },
170 const double toler006
= 2.5000000000000020e-13;
172 // Test data for k=-0.29999999999999993.
173 // max(|f - f_Boost|): 1.3322676295501878e-15 at index 8
174 // max(|f - f_Boost| / |f_Boost|): 3.9274792319434433e-16
175 // mean(f - f_Boost): 6.2172489379008762e-16
176 // variance(f - f_Boost): 8.7651211691223537e-33
177 // stddev(f - f_Boost): 9.3622225828712025e-17
178 const testcase_comp_ellint_3
<double>
181 { 1.6080486199305128, -0.29999999999999993, 0.0000000000000000, 0.0 },
182 { 1.6960848815118226, -0.29999999999999993, 0.10000000000000001, 0.0 },
183 { 1.8002173372290500, -0.29999999999999993, 0.20000000000000001, 0.0 },
184 { 1.9260216862473254, -0.29999999999999993, 0.30000000000000004, 0.0 },
185 { 2.0822121773175533, -0.29999999999999993, 0.40000000000000002, 0.0 },
186 { 2.2833505881933971, -0.29999999999999993, 0.50000000000000000, 0.0 },
187 { 2.5560975528589065, -0.29999999999999993, 0.60000000000000009, 0.0 },
188 { 2.9562123549913877, -0.29999999999999993, 0.70000000000000007, 0.0 },
189 { 3.6283050484567170, -0.29999999999999993, 0.80000000000000004, 0.0 },
190 { 5.1479514944016795, -0.29999999999999993, 0.90000000000000002, 0.0 },
192 const double toler007
= 2.5000000000000020e-13;
194 // Test data for k=-0.19999999999999996.
195 // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9
196 // max(|f - f_Boost| / |f_Boost|): 1.9753938705764407e-16
197 // mean(f - f_Boost): 3.1086244689504381e-16
198 // variance(f - f_Boost): 4.1147374377268827e-32
199 // stddev(f - f_Boost): 2.0284815596220939e-16
200 const testcase_comp_ellint_3
<double>
203 { 1.5868678474541662, -0.19999999999999996, 0.0000000000000000, 0.0 },
204 { 1.6731552050562593, -0.19999999999999996, 0.10000000000000001, 0.0 },
205 { 1.7751816279738935, -0.19999999999999996, 0.20000000000000001, 0.0 },
206 { 1.8983924169967101, -0.19999999999999996, 0.30000000000000004, 0.0 },
207 { 2.0512956926676806, -0.19999999999999996, 0.40000000000000002, 0.0 },
208 { 2.2481046259421302, -0.19999999999999996, 0.50000000000000000, 0.0 },
209 { 2.5148333891629315, -0.19999999999999996, 0.60000000000000009, 0.0 },
210 { 2.9058704854500967, -0.19999999999999996, 0.70000000000000007, 0.0 },
211 { 3.5622166386422633, -0.19999999999999996, 0.80000000000000004, 0.0 },
212 { 5.0448269356200370, -0.19999999999999996, 0.90000000000000002, 0.0 },
214 const double toler008
= 2.5000000000000020e-13;
216 // Test data for k=-0.099999999999999978.
217 // max(|f - f_Boost|): 4.4408920985006262e-16 at index 5
218 // max(|f - f_Boost| / |f_Boost|): 1.9932308021417639e-16
219 // mean(f - f_Boost): 0.0000000000000000
220 // variance(f - f_Boost): 6.8368087769470551e-64
221 // stddev(f - f_Boost): 2.6147291976315738e-32
222 const testcase_comp_ellint_3
<double>
225 { 1.5747455615173560, -0.099999999999999978, 0.0000000000000000, 0.0 },
226 { 1.6600374067558428, -0.099999999999999978, 0.10000000000000001, 0.0 },
227 { 1.7608656115083421, -0.099999999999999978, 0.20000000000000001, 0.0 },
228 { 1.8826015946315438, -0.099999999999999978, 0.30000000000000004, 0.0 },
229 { 2.0336367403076760, -0.099999999999999978, 0.40000000000000002, 0.0 },
230 { 2.2279868912966849, -0.099999999999999978, 0.50000000000000000, 0.0 },
231 { 2.4913004919173827, -0.099999999999999978, 0.60000000000000009, 0.0 },
232 { 2.8771910188009744, -0.099999999999999978, 0.70000000000000007, 0.0 },
233 { 3.5246199613295617, -0.099999999999999978, 0.80000000000000004, 0.0 },
234 { 4.9862890417305508, -0.099999999999999978, 0.90000000000000002, 0.0 },
236 const double toler009
= 2.5000000000000020e-13;
238 // Test data for k=0.0000000000000000.
239 // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9
240 // max(|f - f_Boost| / |f_Boost|): 2.1899085000907084e-16
241 // mean(f - f_Boost): -2.2204460492503131e-16
242 // variance(f - f_Boost): 5.4782007307014711e-32
243 // stddev(f - f_Boost): 2.3405556457178008e-16
244 const testcase_comp_ellint_3
<double>
247 { 1.5707963267948966, 0.0000000000000000, 0.0000000000000000, 0.0 },
248 { 1.6557647109660170, 0.0000000000000000, 0.10000000000000001, 0.0 },
249 { 1.7562036827601817, 0.0000000000000000, 0.20000000000000001, 0.0 },
250 { 1.8774607092226381, 0.0000000000000000, 0.30000000000000004, 0.0 },
251 { 2.0278893379868062, 0.0000000000000000, 0.40000000000000002, 0.0 },
252 { 2.2214414690791831, 0.0000000000000000, 0.50000000000000000, 0.0 },
253 { 2.4836470664490258, 0.0000000000000000, 0.60000000000000009, 0.0 },
254 { 2.8678686047727386, 0.0000000000000000, 0.70000000000000007, 0.0 },
255 { 3.5124073655203634, 0.0000000000000000, 0.80000000000000004, 0.0 },
256 { 4.9672941328980516, 0.0000000000000000, 0.90000000000000002, 0.0 },
258 const double toler010
= 2.5000000000000020e-13;
260 // Test data for k=0.10000000000000009.
261 // max(|f - f_Boost|): 4.4408920985006262e-16 at index 5
262 // max(|f - f_Boost| / |f_Boost|): 1.9932308021417639e-16
263 // mean(f - f_Boost): -2.2204460492503132e-17
264 // variance(f - f_Boost): 6.0868897007794120e-35
265 // stddev(f - f_Boost): 7.8018521523926693e-18
266 const testcase_comp_ellint_3
<double>
269 { 1.5747455615173560, 0.10000000000000009, 0.0000000000000000, 0.0 },
270 { 1.6600374067558428, 0.10000000000000009, 0.10000000000000001, 0.0 },
271 { 1.7608656115083421, 0.10000000000000009, 0.20000000000000001, 0.0 },
272 { 1.8826015946315440, 0.10000000000000009, 0.30000000000000004, 0.0 },
273 { 2.0336367403076760, 0.10000000000000009, 0.40000000000000002, 0.0 },
274 { 2.2279868912966849, 0.10000000000000009, 0.50000000000000000, 0.0 },
275 { 2.4913004919173827, 0.10000000000000009, 0.60000000000000009, 0.0 },
276 { 2.8771910188009744, 0.10000000000000009, 0.70000000000000007, 0.0 },
277 { 3.5246199613295617, 0.10000000000000009, 0.80000000000000004, 0.0 },
278 { 4.9862890417305508, 0.10000000000000009, 0.90000000000000002, 0.0 },
280 const double toler011
= 2.5000000000000020e-13;
282 // Test data for k=0.20000000000000018.
283 // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9
284 // max(|f - f_Boost| / |f_Boost|): 1.9753938705764407e-16
285 // mean(f - f_Boost): 3.1086244689504381e-16
286 // variance(f - f_Boost): 4.1147374377268827e-32
287 // stddev(f - f_Boost): 2.0284815596220939e-16
288 const testcase_comp_ellint_3
<double>
291 { 1.5868678474541662, 0.20000000000000018, 0.0000000000000000, 0.0 },
292 { 1.6731552050562593, 0.20000000000000018, 0.10000000000000001, 0.0 },
293 { 1.7751816279738935, 0.20000000000000018, 0.20000000000000001, 0.0 },
294 { 1.8983924169967101, 0.20000000000000018, 0.30000000000000004, 0.0 },
295 { 2.0512956926676806, 0.20000000000000018, 0.40000000000000002, 0.0 },
296 { 2.2481046259421302, 0.20000000000000018, 0.50000000000000000, 0.0 },
297 { 2.5148333891629315, 0.20000000000000018, 0.60000000000000009, 0.0 },
298 { 2.9058704854500967, 0.20000000000000018, 0.70000000000000007, 0.0 },
299 { 3.5622166386422633, 0.20000000000000018, 0.80000000000000004, 0.0 },
300 { 5.0448269356200370, 0.20000000000000018, 0.90000000000000002, 0.0 },
302 const double toler012
= 2.5000000000000020e-13;
304 // Test data for k=0.30000000000000004.
305 // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8
306 // max(|f - f_Boost| / |f_Boost|): 3.4585997630846713e-16
307 // mean(f - f_Boost): 5.1070259132757197e-16
308 // variance(f - f_Boost): 1.7591111235252501e-32
309 // stddev(f - f_Boost): 1.3263148659067538e-16
310 const testcase_comp_ellint_3
<double>
313 { 1.6080486199305128, 0.30000000000000004, 0.0000000000000000, 0.0 },
314 { 1.6960848815118228, 0.30000000000000004, 0.10000000000000001, 0.0 },
315 { 1.8002173372290500, 0.30000000000000004, 0.20000000000000001, 0.0 },
316 { 1.9260216862473254, 0.30000000000000004, 0.30000000000000004, 0.0 },
317 { 2.0822121773175533, 0.30000000000000004, 0.40000000000000002, 0.0 },
318 { 2.2833505881933975, 0.30000000000000004, 0.50000000000000000, 0.0 },
319 { 2.5560975528589065, 0.30000000000000004, 0.60000000000000009, 0.0 },
320 { 2.9562123549913877, 0.30000000000000004, 0.70000000000000007, 0.0 },
321 { 3.6283050484567174, 0.30000000000000004, 0.80000000000000004, 0.0 },
322 { 5.1479514944016795, 0.30000000000000004, 0.90000000000000002, 0.0 },
324 const double toler013
= 2.5000000000000020e-13;
326 // Test data for k=0.40000000000000013.
327 // max(|f - f_Boost|): 2.6645352591003757e-15 at index 9
328 // max(|f - f_Boost| / |f_Boost|): 6.7696531428672557e-16
329 // mean(f - f_Boost): 1.1990408665951691e-15
330 // variance(f - f_Boost): 2.6514491536595121e-31
331 // stddev(f - f_Boost): 5.1492224205791612e-16
332 const testcase_comp_ellint_3
<double>
335 { 1.6399998658645112, 0.40000000000000013, 0.0000000000000000, 0.0 },
336 { 1.7306968836847190, 0.40000000000000013, 0.10000000000000001, 0.0 },
337 { 1.8380358826317629, 0.40000000000000013, 0.20000000000000001, 0.0 },
338 { 1.9677924132520141, 0.40000000000000013, 0.30000000000000004, 0.0 },
339 { 2.1289968719280030, 0.40000000000000013, 0.40000000000000002, 0.0 },
340 { 2.3367461373176512, 0.40000000000000013, 0.50000000000000000, 0.0 },
341 { 2.6186940209850196, 0.40000000000000013, 0.60000000000000009, 0.0 },
342 { 3.0327078743873246, 0.40000000000000013, 0.70000000000000007, 0.0 },
343 { 3.7289548002199906, 0.40000000000000013, 0.80000000000000004, 0.0 },
344 { 5.3055535102872522, 0.40000000000000013, 0.90000000000000002, 0.0 },
346 const double toler014
= 2.5000000000000020e-13;
348 // Test data for k=0.50000000000000000.
349 // max(|f - f_Boost|): 4.4408920985006262e-16 at index 3
350 // max(|f - f_Boost| / |f_Boost|): 2.1900131385114407e-16
351 // mean(f - f_Boost): 2.4424906541753446e-16
352 // variance(f - f_Boost): 7.3651365379430888e-33
353 // stddev(f - f_Boost): 8.5820373676319358e-17
354 const testcase_comp_ellint_3
<double>
357 { 1.6857503548125961, 0.50000000000000000, 0.0000000000000000, 0.0 },
358 { 1.7803034946545482, 0.50000000000000000, 0.10000000000000001, 0.0 },
359 { 1.8922947612264021, 0.50000000000000000, 0.20000000000000001, 0.0 },
360 { 2.0277924458111314, 0.50000000000000000, 0.30000000000000004, 0.0 },
361 { 2.1962905366178065, 0.50000000000000000, 0.40000000000000002, 0.0 },
362 { 2.4136715042011945, 0.50000000000000000, 0.50000000000000000, 0.0 },
363 { 2.7090491861753558, 0.50000000000000000, 0.60000000000000009, 0.0 },
364 { 3.1433945297859229, 0.50000000000000000, 0.70000000000000007, 0.0 },
365 { 3.8750701888108070, 0.50000000000000000, 0.80000000000000004, 0.0 },
366 { 5.5355132096026463, 0.50000000000000000, 0.90000000000000002, 0.0 },
368 const double toler015
= 2.5000000000000020e-13;
370 // Test data for k=0.60000000000000009.
371 // max(|f - f_Boost|): 4.4408920985006262e-16 at index 2
372 // max(|f - f_Boost| / |f_Boost|): 2.2547200163366559e-16
373 // mean(f - f_Boost): -2.2204460492503131e-16
374 // variance(f - f_Boost): 6.0868897007794117e-33
375 // stddev(f - f_Boost): 7.8018521523926690e-17
376 const testcase_comp_ellint_3
<double>
379 { 1.7507538029157526, 0.60000000000000009, 0.0000000000000000, 0.0 },
380 { 1.8508766487100687, 0.60000000000000009, 0.10000000000000001, 0.0 },
381 { 1.9695980282802217, 0.60000000000000009, 0.20000000000000001, 0.0 },
382 { 2.1134154405060599, 0.60000000000000009, 0.30000000000000004, 0.0 },
383 { 2.2925036420985130, 0.60000000000000009, 0.40000000000000002, 0.0 },
384 { 2.5239007084492711, 0.60000000000000009, 0.50000000000000000, 0.0 },
385 { 2.8388723099514976, 0.60000000000000009, 0.60000000000000009, 0.0 },
386 { 3.3029735898397159, 0.60000000000000009, 0.70000000000000007, 0.0 },
387 { 4.0867036409261832, 0.60000000000000009, 0.80000000000000004, 0.0 },
388 { 5.8709993116265613, 0.60000000000000009, 0.90000000000000002, 0.0 },
390 const double toler016
= 2.5000000000000020e-13;
392 // Test data for k=0.70000000000000018.
393 // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9
394 // max(|f - f_Boost| / |f_Boost|): 2.9298727220933567e-16
395 // mean(f - f_Boost): 4.8849813083506892e-16
396 // variance(f - f_Boost): 2.0476296953421943e-31
397 // stddev(f - f_Boost): 4.5250742483877478e-16
398 const testcase_comp_ellint_3
<double>
401 { 1.8456939983747238, 0.70000000000000018, 0.0000000000000000, 0.0 },
402 { 1.9541347343119566, 0.70000000000000018, 0.10000000000000001, 0.0 },
403 { 2.0829290325820207, 0.70000000000000018, 0.20000000000000001, 0.0 },
404 { 2.2392290510988540, 0.70000000000000018, 0.30000000000000004, 0.0 },
405 { 2.4342502915307880, 0.70000000000000018, 0.40000000000000002, 0.0 },
406 { 2.6868019968237000, 0.70000000000000018, 0.50000000000000000, 0.0 },
407 { 3.0314573496746746, 0.70000000000000018, 0.60000000000000009, 0.0 },
408 { 3.5408408771788569, 0.70000000000000018, 0.70000000000000007, 0.0 },
409 { 4.4042405729076970, 0.70000000000000018, 0.80000000000000004, 0.0 },
410 { 6.3796094177887763, 0.70000000000000018, 0.90000000000000002, 0.0 },
412 const double toler017
= 2.5000000000000020e-13;
414 // Test data for k=0.80000000000000004.
415 // max(|f - f_Boost|): 1.7763568394002505e-15 at index 8
416 // max(|f - f_Boost| / |f_Boost|): 4.1949393471095187e-16
417 // mean(f - f_Boost): 9.5479180117763459e-16
418 // variance(f - f_Boost): 5.4782007307014711e-34
419 // stddev(f - f_Boost): 2.3405556457178006e-17
420 const testcase_comp_ellint_3
<double>
423 { 1.9953027776647294, 0.80000000000000004, 0.0000000000000000, 0.0 },
424 { 2.1172616484005085, 0.80000000000000004, 0.10000000000000001, 0.0 },
425 { 2.2624789434186798, 0.80000000000000004, 0.20000000000000001, 0.0 },
426 { 2.4392042002725698, 0.80000000000000004, 0.30000000000000004, 0.0 },
427 { 2.6604037035529728, 0.80000000000000004, 0.40000000000000002, 0.0 },
428 { 2.9478781158239751, 0.80000000000000004, 0.50000000000000000, 0.0 },
429 { 3.3418121892288055, 0.80000000000000004, 0.60000000000000009, 0.0 },
430 { 3.9268876980046397, 0.80000000000000004, 0.70000000000000007, 0.0 },
431 { 4.9246422058196071, 0.80000000000000004, 0.80000000000000004, 0.0 },
432 { 7.2263259298637132, 0.80000000000000004, 0.90000000000000002, 0.0 },
434 const double toler018
= 2.5000000000000020e-13;
436 // Test data for k=0.90000000000000013.
437 // max(|f - f_Boost|): 4.4408920985006262e-16 at index 3
438 // max(|f - f_Boost| / |f_Boost|): 1.5716352001310461e-16
439 // mean(f - f_Boost): 4.4408920985006264e-17
440 // variance(f - f_Boost): 2.4347558803117648e-34
441 // stddev(f - f_Boost): 1.5603704304785339e-17
442 const testcase_comp_ellint_3
<double>
445 { 2.2805491384227707, 0.90000000000000013, 0.0000000000000000, 0.0 },
446 { 2.4295011187834890, 0.90000000000000013, 0.10000000000000001, 0.0 },
447 { 2.6076835743348421, 0.90000000000000013, 0.20000000000000001, 0.0 },
448 { 2.8256506968858521, 0.90000000000000013, 0.30000000000000004, 0.0 },
449 { 3.1000689868578628, 0.90000000000000013, 0.40000000000000002, 0.0 },
450 { 3.4591069002104686, 0.90000000000000013, 0.50000000000000000, 0.0 },
451 { 3.9549939883570242, 0.90000000000000013, 0.60000000000000009, 0.0 },
452 { 4.6985482312992453, 0.90000000000000013, 0.70000000000000007, 0.0 },
453 { 5.9820740813645727, 0.90000000000000013, 0.80000000000000004, 0.0 },
454 { 8.9942562031858735, 0.90000000000000013, 0.90000000000000002, 0.0 },
456 const double toler019
= 2.5000000000000020e-13;
458 template<typename Ret
, unsigned int Num
>
460 test(const testcase_comp_ellint_3
<Ret
> (&data
)[Num
], Ret toler
)
462 bool test
__attribute__((unused
)) = true;
463 const Ret eps
= std::numeric_limits
<Ret
>::epsilon();
464 Ret max_abs_diff
= -Ret(1);
465 Ret max_abs_frac
= -Ret(1);
466 unsigned int num_datum
= Num
;
467 for (unsigned int i
= 0; i
< num_datum
; ++i
)
469 const Ret f
= std::comp_ellint_3(data
[i
].k
, data
[i
].nu
);
470 const Ret f0
= data
[i
].f0
;
471 const Ret diff
= f
- f0
;
472 if (std::abs(diff
) > max_abs_diff
)
473 max_abs_diff
= std::abs(diff
);
474 if (std::abs(f0
) > Ret(10) * eps
475 && std::abs(f
) > Ret(10) * eps
)
477 const Ret frac
= diff
/ f0
;
478 if (std::abs(frac
) > max_abs_frac
)
479 max_abs_frac
= std::abs(frac
);
482 VERIFY(max_abs_frac
< toler
);
488 test(data001
, toler001
);
489 test(data002
, toler002
);
490 test(data003
, toler003
);
491 test(data004
, toler004
);
492 test(data005
, toler005
);
493 test(data006
, toler006
);
494 test(data007
, toler007
);
495 test(data008
, toler008
);
496 test(data009
, toler009
);
497 test(data010
, toler010
);
498 test(data011
, toler011
);
499 test(data012
, toler012
);
500 test(data013
, toler013
);
501 test(data014
, toler014
);
502 test(data015
, toler015
);
503 test(data016
, toler016
);
504 test(data017
, toler017
);
505 test(data018
, toler018
);
506 test(data019
, toler019
);