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b4688136 ESR |
1 | // { dg-do run { target c++11 } } |
2 | // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" } | |
7c62b943 | 3 | // |
7adcbafe | 4 | // Copyright (C) 2016-2022 Free Software Foundation, Inc. |
7c62b943 BK |
5 | // |
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 | |
748086b7 | 9 | // Free Software Foundation; either version 3, or (at your option) |
7c62b943 BK |
10 | // any later version. |
11 | // | |
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. | |
16 | // | |
17 | // You should have received a copy of the GNU General Public License along | |
748086b7 JJ |
18 | // with this library; see the file COPYING3. If not see |
19 | // <http://www.gnu.org/licenses/>. | |
7c62b943 BK |
20 | |
21 | // ellint_3 | |
7c62b943 BK |
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/ | |
b4688136 | 24 | #include <limits> |
7c62b943 BK |
25 | #include <tr1/cmath> |
26 | #if defined(__TEST_DEBUG) | |
b4688136 ESR |
27 | # include <iostream> |
28 | # define VERIFY(A) \ | |
29 | if (!(A)) \ | |
30 | { \ | |
31 | std::cout << "line " << __LINE__ \ | |
32 | << " max_abs_frac = " << max_abs_frac \ | |
33 | << std::endl; \ | |
34 | } | |
7c62b943 | 35 | #else |
b4688136 | 36 | # include <testsuite_hooks.h> |
7c62b943 | 37 | #endif |
b4688136 | 38 | #include <specfun_testcase.h> |
7c62b943 BK |
39 | |
40 | // Test data for k=-0.90000000000000002, nu=0.0000000000000000. | |
b4688136 ESR |
41 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 7 |
42 | // max(|f - f_Boost| / |f_Boost|): 5.7842011620951154e-16 | |
43 | // mean(f - f_Boost): 5.8286708792820721e-17 | |
44 | // variance(f - f_Boost): 4.1942474344433133e-34 | |
45 | // stddev(f - f_Boost): 2.0479861900030756e-17 | |
46 | const testcase_ellint_3<double> | |
47 | data001[10] = | |
48 | { | |
49 | { 0.0000000000000000, -0.90000000000000002, 0.0000000000000000, | |
50 | 0.0000000000000000, 0.0 }, | |
51 | { 0.17525427376115027, -0.90000000000000002, 0.0000000000000000, | |
52 | 0.17453292519943295, 0.0 }, | |
53 | { 0.35492464591297446, -0.90000000000000002, 0.0000000000000000, | |
54 | 0.34906585039886590, 0.0 }, | |
55 | { 0.54388221416157123, -0.90000000000000002, 0.0000000000000000, | |
56 | 0.52359877559829882, 0.0 }, | |
57 | { 0.74797400423532512, -0.90000000000000002, 0.0000000000000000, | |
58 | 0.69813170079773179, 0.0 }, | |
59 | { 0.97463898451966446, -0.90000000000000002, 0.0000000000000000, | |
60 | 0.87266462599716477, 0.0 }, | |
61 | { 1.2334463254523438, -0.90000000000000002, 0.0000000000000000, | |
62 | 1.0471975511965976, 0.0 }, | |
63 | { 1.5355247765594913, -0.90000000000000002, 0.0000000000000000, | |
64 | 1.2217304763960306, 0.0 }, | |
65 | { 1.8882928567775126, -0.90000000000000002, 0.0000000000000000, | |
66 | 1.3962634015954636, 0.0 }, | |
67 | { 2.2805491384227703, -0.90000000000000002, 0.0000000000000000, | |
68 | 1.5707963267948966, 0.0 }, | |
69 | }; | |
70 | const double toler001 = 2.5000000000000020e-13; | |
7c62b943 BK |
71 | |
72 | // Test data for k=-0.90000000000000002, nu=0.10000000000000001. | |
b4688136 ESR |
73 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 7 |
74 | // max(|f - f_Boost| / |f_Boost|): 4.1500594295134815e-16 | |
75 | // mean(f - f_Boost): 1.0269562977782698e-16 | |
76 | // variance(f - f_Boost): 1.4388836606733082e-32 | |
77 | // stddev(f - f_Boost): 1.1995347684303728e-16 | |
78 | const testcase_ellint_3<double> | |
79 | data002[10] = | |
80 | { | |
81 | { 0.0000000000000000, -0.90000000000000002, 0.10000000000000001, | |
82 | 0.0000000000000000, 0.0 }, | |
83 | { 0.17543204932716244, -0.90000000000000002, 0.10000000000000001, | |
84 | 0.17453292519943295, 0.0 }, | |
85 | { 0.35636022898551184, -0.90000000000000002, 0.10000000000000001, | |
86 | 0.34906585039886590, 0.0 }, | |
87 | { 0.54880278898382584, -0.90000000000000002, 0.10000000000000001, | |
88 | 0.52359877559829882, 0.0 }, | |
89 | { 0.75988834774529268, -0.90000000000000002, 0.10000000000000001, | |
90 | 0.69813170079773179, 0.0 }, | |
91 | { 0.99853303003568117, -0.90000000000000002, 0.10000000000000001, | |
92 | 0.87266462599716477, 0.0 }, | |
93 | { 1.2759958823999022, -0.90000000000000002, 0.10000000000000001, | |
94 | 1.0471975511965976, 0.0 }, | |
95 | { 1.6051187364639401, -0.90000000000000002, 0.10000000000000001, | |
96 | 1.2217304763960306, 0.0 }, | |
97 | { 1.9941406879519472, -0.90000000000000002, 0.10000000000000001, | |
98 | 1.3962634015954636, 0.0 }, | |
99 | { 2.4295011187834881, -0.90000000000000002, 0.10000000000000001, | |
100 | 1.5707963267948966, 0.0 }, | |
101 | }; | |
102 | const double toler002 = 2.5000000000000020e-13; | |
7c62b943 BK |
103 | |
104 | // Test data for k=-0.90000000000000002, nu=0.20000000000000001. | |
b4688136 ESR |
105 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 7 |
106 | // max(|f - f_Boost| / |f_Boost|): 5.2711357908578066e-16 | |
107 | // mean(f - f_Boost): 8.0491169285323847e-17 | |
108 | // variance(f - f_Boost): 7.9985534974304465e-34 | |
109 | // stddev(f - f_Boost): 2.8281714052423424e-17 | |
110 | const testcase_ellint_3<double> | |
111 | data003[10] = | |
112 | { | |
113 | { 0.0000000000000000, -0.90000000000000002, 0.20000000000000001, | |
114 | 0.0000000000000000, 0.0 }, | |
115 | { 0.17561047321968409, -0.90000000000000002, 0.20000000000000001, | |
116 | 0.17453292519943295, 0.0 }, | |
117 | { 0.35781659944356109, -0.90000000000000002, 0.20000000000000001, | |
118 | 0.34906585039886590, 0.0 }, | |
119 | { 0.55388150905215283, -0.90000000000000002, 0.20000000000000001, | |
120 | 0.52359877559829882, 0.0 }, | |
121 | { 0.77246874123251441, -0.90000000000000002, 0.20000000000000001, | |
122 | 0.69813170079773179, 0.0 }, | |
123 | { 1.0244466254771925, -0.90000000000000002, 0.20000000000000001, | |
124 | 0.87266462599716477, 0.0 }, | |
125 | { 1.3234824077640801, -0.90000000000000002, 0.20000000000000001, | |
126 | 1.0471975511965976, 0.0 }, | |
127 | { 1.6849848968804237, -0.90000000000000002, 0.20000000000000001, | |
128 | 1.2217304763960306, 0.0 }, | |
129 | { 2.1185749045502273, -0.90000000000000002, 0.20000000000000001, | |
130 | 1.3962634015954636, 0.0 }, | |
131 | { 2.6076835743348412, -0.90000000000000002, 0.20000000000000001, | |
132 | 1.5707963267948966, 0.0 }, | |
133 | }; | |
134 | const double toler003 = 2.5000000000000020e-13; | |
135 | ||
136 | // Test data for k=-0.90000000000000002, nu=0.30000000000000004. | |
137 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 7 | |
138 | // max(|f - f_Boost| / |f_Boost|): 4.9955372494296814e-16 | |
139 | // mean(f - f_Boost): 5.8286708792820721e-17 | |
140 | // variance(f - f_Boost): 4.1942474344433133e-34 | |
141 | // stddev(f - f_Boost): 2.0479861900030756e-17 | |
142 | const testcase_ellint_3<double> | |
143 | data004[10] = | |
144 | { | |
145 | { 0.0000000000000000, -0.90000000000000002, 0.30000000000000004, | |
146 | 0.0000000000000000, 0.0 }, | |
147 | { 0.17578954966746221, -0.90000000000000002, 0.30000000000000004, | |
148 | 0.17453292519943295, 0.0 }, | |
149 | { 0.35929429810867447, -0.90000000000000002, 0.30000000000000004, | |
150 | 0.34906585039886590, 0.0 }, | |
151 | { 0.55912757154240811, -0.90000000000000002, 0.30000000000000004, | |
152 | 0.52359877559829882, 0.0 }, | |
153 | { 0.78578314722025389, -0.90000000000000002, 0.30000000000000004, | |
154 | 0.69813170079773179, 0.0 }, | |
155 | { 1.0526941001131365, -0.90000000000000002, 0.30000000000000004, | |
156 | 0.87266462599716477, 0.0 }, | |
157 | { 1.3769682234538601, -0.90000000000000002, 0.30000000000000004, | |
158 | 1.0471975511965976, 0.0 }, | |
159 | { 1.7779437432911238, -0.90000000000000002, 0.30000000000000004, | |
160 | 1.2217304763960306, 0.0 }, | |
161 | { 2.2676509341813631, -0.90000000000000002, 0.30000000000000004, | |
162 | 1.3962634015954636, 0.0 }, | |
163 | { 2.8256506968858512, -0.90000000000000002, 0.30000000000000004, | |
164 | 1.5707963267948966, 0.0 }, | |
165 | }; | |
166 | const double toler004 = 2.5000000000000020e-13; | |
7c62b943 BK |
167 | |
168 | // Test data for k=-0.90000000000000002, nu=0.40000000000000002. | |
b4688136 ESR |
169 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 7 |
170 | // max(|f - f_Boost| / |f_Boost|): 4.7042235432234642e-16 | |
171 | // mean(f - f_Boost): 2.0261570199409106e-16 | |
172 | // variance(f - f_Boost): 5.8024227149195491e-32 | |
173 | // stddev(f - f_Boost): 2.4088218520512364e-16 | |
174 | const testcase_ellint_3<double> | |
175 | data005[10] = | |
176 | { | |
177 | { 0.0000000000000000, -0.90000000000000002, 0.40000000000000002, | |
178 | 0.0000000000000000, 0.0 }, | |
179 | { 0.17596928293938452, -0.90000000000000002, 0.40000000000000002, | |
180 | 0.17453292519943295, 0.0 }, | |
181 | { 0.36079388642472821, -0.90000000000000002, 0.40000000000000002, | |
182 | 0.34906585039886590, 0.0 }, | |
183 | { 0.56455096667115612, -0.90000000000000002, 0.40000000000000002, | |
184 | 0.52359877559829882, 0.0 }, | |
185 | { 0.79990996997869435, -0.90000000000000002, 0.40000000000000002, | |
186 | 0.69813170079773179, 0.0 }, | |
187 | { 1.0836647913872215, -0.90000000000000002, 0.40000000000000002, | |
188 | 0.87266462599716477, 0.0 }, | |
189 | { 1.4378726836091849, -0.90000000000000002, 0.40000000000000002, | |
190 | 1.0471975511965976, 0.0 }, | |
191 | { 1.8880446720682853, -0.90000000000000002, 0.40000000000000002, | |
192 | 1.2217304763960306, 0.0 }, | |
193 | { 2.4505848932025227, -0.90000000000000002, 0.40000000000000002, | |
194 | 1.3962634015954636, 0.0 }, | |
195 | { 3.1000689868578615, -0.90000000000000002, 0.40000000000000002, | |
196 | 1.5707963267948966, 0.0 }, | |
197 | }; | |
198 | const double toler005 = 2.5000000000000020e-13; | |
7c62b943 BK |
199 | |
200 | // Test data for k=-0.90000000000000002, nu=0.50000000000000000. | |
b4688136 ESR |
201 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 6 |
202 | // max(|f - f_Boost| / |f_Boost|): 3.8944086593755267e-16 | |
203 | // mean(f - f_Boost): 6.9388939039072284e-17 | |
204 | // variance(f - f_Boost): 1.7333369499485123e-32 | |
205 | // stddev(f - f_Boost): 1.3165625507162629e-16 | |
206 | const testcase_ellint_3<double> | |
207 | data006[10] = | |
208 | { | |
209 | { 0.0000000000000000, -0.90000000000000002, 0.50000000000000000, | |
210 | 0.0000000000000000, 0.0 }, | |
211 | { 0.17614967734498183, -0.90000000000000002, 0.50000000000000000, | |
212 | 0.17453292519943295, 0.0 }, | |
213 | { 0.36231594750319435, -0.90000000000000002, 0.50000000000000000, | |
214 | 0.34906585039886590, 0.0 }, | |
215 | { 0.57016256984349567, -0.90000000000000002, 0.50000000000000000, | |
216 | 0.52359877559829882, 0.0 }, | |
217 | { 0.81494025918293422, -0.90000000000000002, 0.50000000000000000, | |
218 | 0.69813170079773179, 0.0 }, | |
219 | { 1.1178482279283477, -0.90000000000000002, 0.50000000000000000, | |
220 | 0.87266462599716477, 0.0 }, | |
221 | { 1.5081455873012106, -0.90000000000000002, 0.50000000000000000, | |
222 | 1.0471975511965976, 0.0 }, | |
223 | { 2.0213599730863998, -0.90000000000000002, 0.50000000000000000, | |
224 | 1.2217304763960306, 0.0 }, | |
225 | { 2.6822467012926827, -0.90000000000000002, 0.50000000000000000, | |
226 | 1.3962634015954636, 0.0 }, | |
227 | { 3.4591069002104677, -0.90000000000000002, 0.50000000000000000, | |
228 | 1.5707963267948966, 0.0 }, | |
229 | }; | |
230 | const double toler006 = 2.5000000000000020e-13; | |
231 | ||
232 | // Test data for k=-0.90000000000000002, nu=0.60000000000000009. | |
233 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 7 | |
234 | // max(|f - f_Boost| / |f_Boost|): 4.0602096790645418e-16 | |
235 | // mean(f - f_Boost): 1.0269562977782698e-16 | |
236 | // variance(f - f_Boost): 1.4388836606733082e-32 | |
237 | // stddev(f - f_Boost): 1.1995347684303728e-16 | |
238 | const testcase_ellint_3<double> | |
239 | data007[10] = | |
240 | { | |
241 | { 0.0000000000000000, -0.90000000000000002, 0.60000000000000009, | |
242 | 0.0000000000000000, 0.0 }, | |
243 | { 0.17633073723493825, -0.90000000000000002, 0.60000000000000009, | |
244 | 0.17453292519943295, 0.0 }, | |
245 | { 0.36386108723492810, -0.90000000000000002, 0.60000000000000009, | |
246 | 0.34906585039886590, 0.0 }, | |
247 | { 0.57597424744716241, -0.90000000000000002, 0.60000000000000009, | |
248 | 0.52359877559829882, 0.0 }, | |
249 | { 0.83098051948501150, -0.90000000000000002, 0.60000000000000009, | |
250 | 0.69813170079773179, 0.0 }, | |
251 | { 1.1558706545698916, -0.90000000000000002, 0.60000000000000009, | |
252 | 0.87266462599716477, 0.0 }, | |
253 | { 1.5905576379415669, -0.90000000000000002, 0.60000000000000009, | |
254 | 1.0471975511965976, 0.0 }, | |
255 | { 2.1875186010215080, -0.90000000000000002, 0.60000000000000009, | |
256 | 1.2217304763960306, 0.0 }, | |
257 | { 2.9885767771316849, -0.90000000000000002, 0.60000000000000009, | |
258 | 1.3962634015954636, 0.0 }, | |
259 | { 3.9549939883570224, -0.90000000000000002, 0.60000000000000009, | |
260 | 1.5707963267948966, 0.0 }, | |
261 | }; | |
262 | const double toler007 = 2.5000000000000020e-13; | |
263 | ||
264 | // Test data for k=-0.90000000000000002, nu=0.70000000000000007. | |
265 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 8 | |
266 | // max(|f - f_Boost| / |f_Boost|): 5.1938610791060186e-16 | |
267 | // mean(f - f_Boost): 3.0253577421035517e-16 | |
268 | // variance(f - f_Boost): 4.2342877557562532e-32 | |
269 | // stddev(f - f_Boost): 2.0577385051935665e-16 | |
270 | const testcase_ellint_3<double> | |
271 | data008[10] = | |
272 | { | |
273 | { 0.0000000000000000, -0.90000000000000002, 0.70000000000000007, | |
274 | 0.0000000000000000, 0.0 }, | |
275 | { 0.17651246700160939, -0.90000000000000002, 0.70000000000000007, | |
276 | 0.17453292519943295, 0.0 }, | |
277 | { 0.36542993547358982, -0.90000000000000002, 0.70000000000000007, | |
278 | 0.34906585039886590, 0.0 }, | |
279 | { 0.58199897877674867, -0.90000000000000002, 0.70000000000000007, | |
280 | 0.52359877559829882, 0.0 }, | |
281 | { 0.84815633587352857, -0.90000000000000002, 0.70000000000000007, | |
282 | 0.69813170079773179, 0.0 }, | |
283 | { 1.1985495623872375, -0.90000000000000002, 0.70000000000000007, | |
284 | 0.87266462599716477, 0.0 }, | |
285 | { 1.6892158134027688, -0.90000000000000002, 0.70000000000000007, | |
286 | 1.0471975511965976, 0.0 }, | |
287 | { 2.4029722191094236, -0.90000000000000002, 0.70000000000000007, | |
288 | 1.2217304763960306, 0.0 }, | |
289 | { 3.4201084941340052, -0.90000000000000002, 0.70000000000000007, | |
290 | 1.3962634015954636, 0.0 }, | |
291 | { 4.6985482312992435, -0.90000000000000002, 0.70000000000000007, | |
292 | 1.5707963267948966, 0.0 }, | |
293 | }; | |
294 | const double toler008 = 2.5000000000000020e-13; | |
7c62b943 BK |
295 | |
296 | // Test data for k=-0.90000000000000002, nu=0.80000000000000004. | |
b4688136 ESR |
297 | // max(|f - f_Boost|): 2.6645352591003757e-15 at index 8 |
298 | // max(|f - f_Boost| / |f_Boost|): 6.5091520146032660e-16 | |
299 | // mean(f - f_Boost): 2.8310687127941490e-16 | |
300 | // variance(f - f_Boost): 9.8950000698295322e-33 | |
301 | // stddev(f - f_Boost): 9.9473614943006532e-17 | |
302 | const testcase_ellint_3<double> | |
303 | data009[10] = | |
304 | { | |
305 | { 0.0000000000000000, -0.90000000000000002, 0.80000000000000004, | |
306 | 0.0000000000000000, 0.0 }, | |
307 | { 0.17669487107954862, -0.90000000000000002, 0.80000000000000004, | |
308 | 0.17453292519943295, 0.0 }, | |
309 | { 0.36702314729628421, -0.90000000000000002, 0.80000000000000004, | |
310 | 0.34906585039886590, 0.0 }, | |
311 | { 0.58825099711365492, -0.90000000000000002, 0.80000000000000004, | |
312 | 0.52359877559829882, 0.0 }, | |
313 | { 0.86661711422209031, -0.90000000000000002, 0.80000000000000004, | |
314 | 0.69813170079773179, 0.0 }, | |
315 | { 1.2469779109884802, -0.90000000000000002, 0.80000000000000004, | |
316 | 0.87266462599716477, 0.0 }, | |
317 | { 1.8105469760531578, -0.90000000000000002, 0.80000000000000004, | |
318 | 1.0471975511965976, 0.0 }, | |
319 | { 2.6989505165893752, -0.90000000000000002, 0.80000000000000004, | |
320 | 1.2217304763960306, 0.0 }, | |
321 | { 4.0935213267757424, -0.90000000000000002, 0.80000000000000004, | |
322 | 1.3962634015954636, 0.0 }, | |
323 | { 5.9820740813645710, -0.90000000000000002, 0.80000000000000004, | |
324 | 1.5707963267948966, 0.0 }, | |
325 | }; | |
326 | const double toler009 = 2.5000000000000020e-13; | |
7c62b943 BK |
327 | |
328 | // Test data for k=-0.90000000000000002, nu=0.90000000000000002. | |
b4688136 ESR |
329 | // max(|f - f_Boost|): 4.4408920985006262e-15 at index 8 |
330 | // max(|f - f_Boost| / |f_Boost|): 8.2628580104449673e-16 | |
331 | // mean(f - f_Boost): 8.5764728652293339e-16 | |
332 | // variance(f - f_Boost): 8.9671393318321280e-31 | |
333 | // stddev(f - f_Boost): 9.4694980499666013e-16 | |
334 | const testcase_ellint_3<double> | |
335 | data010[10] = | |
336 | { | |
337 | { 0.0000000000000000, -0.90000000000000002, 0.90000000000000002, | |
338 | 0.0000000000000000, 0.0 }, | |
339 | { 0.17687795394604169, -0.90000000000000002, 0.90000000000000002, | |
340 | 0.17453292519943295, 0.0 }, | |
341 | { 0.36864140434751286, -0.90000000000000002, 0.90000000000000002, | |
342 | 0.34906585039886590, 0.0 }, | |
343 | { 0.59474595366817051, -0.90000000000000002, 0.90000000000000002, | |
344 | 0.52359877559829882, 0.0 }, | |
345 | { 0.88654237226056665, -0.90000000000000002, 0.90000000000000002, | |
346 | 0.69813170079773179, 0.0 }, | |
347 | { 1.3026595810616726, -0.90000000000000002, 0.90000000000000002, | |
348 | 0.87266462599716477, 0.0 }, | |
349 | { 1.9653635459278078, -0.90000000000000002, 0.90000000000000002, | |
350 | 1.0471975511965976, 0.0 }, | |
351 | { 3.1451407527189463, -0.90000000000000002, 0.90000000000000002, | |
352 | 1.2217304763960306, 0.0 }, | |
353 | { 5.3745230680316114, -0.90000000000000002, 0.90000000000000002, | |
354 | 1.3962634015954636, 0.0 }, | |
355 | { 8.9942562031858682, -0.90000000000000002, 0.90000000000000002, | |
356 | 1.5707963267948966, 0.0 }, | |
357 | }; | |
358 | const double toler010 = 2.5000000000000020e-13; | |
7c62b943 BK |
359 | |
360 | // Test data for k=-0.80000000000000004, nu=0.0000000000000000. | |
b4688136 ESR |
361 | // max(|f - f_Boost|): 1.5543122344752192e-15 at index 9 |
362 | // max(|f - f_Boost| / |f_Boost|): 7.7898565163847540e-16 | |
363 | // mean(f - f_Boost): 2.3869795029440865e-16 | |
364 | // variance(f - f_Boost): 2.1368406725192426e-31 | |
365 | // stddev(f - f_Boost): 4.6225974002926564e-16 | |
366 | const testcase_ellint_3<double> | |
367 | data011[10] = | |
368 | { | |
369 | { 0.0000000000000000, -0.80000000000000004, 0.0000000000000000, | |
370 | 0.0000000000000000, 0.0 }, | |
371 | { 0.17510154241338899, -0.80000000000000004, 0.0000000000000000, | |
372 | 0.17453292519943295, 0.0 }, | |
373 | { 0.35365068839779396, -0.80000000000000004, 0.0000000000000000, | |
374 | 0.34906585039886590, 0.0 }, | |
375 | { 0.53926804409084550, -0.80000000000000004, 0.0000000000000000, | |
376 | 0.52359877559829882, 0.0 }, | |
377 | { 0.73587926028070372, -0.80000000000000004, 0.0000000000000000, | |
378 | 0.69813170079773179, 0.0 }, | |
379 | { 0.94770942970071170, -0.80000000000000004, 0.0000000000000000, | |
380 | 0.87266462599716477, 0.0 }, | |
381 | { 1.1789022995388236, -0.80000000000000004, 0.0000000000000000, | |
382 | 1.0471975511965976, 0.0 }, | |
383 | { 1.4323027881876012, -0.80000000000000004, 0.0000000000000000, | |
384 | 1.2217304763960306, 0.0 }, | |
385 | { 1.7069629739121677, -0.80000000000000004, 0.0000000000000000, | |
386 | 1.3962634015954636, 0.0 }, | |
387 | { 1.9953027776647294, -0.80000000000000004, 0.0000000000000000, | |
388 | 1.5707963267948966, 0.0 }, | |
389 | }; | |
390 | const double toler011 = 2.5000000000000020e-13; | |
7c62b943 BK |
391 | |
392 | // Test data for k=-0.80000000000000004, nu=0.10000000000000001. | |
b4688136 ESR |
393 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 |
394 | // max(|f - f_Boost| / |f_Boost|): 8.3898786942190374e-16 | |
395 | // mean(f - f_Boost): 2.3869795029440865e-16 | |
396 | // variance(f - f_Boost): 2.9190059990693968e-31 | |
397 | // stddev(f - f_Boost): 5.4027826155319237e-16 | |
398 | const testcase_ellint_3<double> | |
399 | data012[10] = | |
400 | { | |
401 | { 0.0000000000000000, -0.80000000000000004, 0.10000000000000001, | |
402 | 0.0000000000000000, 0.0 }, | |
403 | { 0.17527903952342144, -0.80000000000000004, 0.10000000000000001, | |
404 | 0.17453292519943295, 0.0 }, | |
405 | { 0.35507705313548549, -0.80000000000000004, 0.10000000000000001, | |
406 | 0.34906585039886590, 0.0 }, | |
407 | { 0.54411455987643553, -0.80000000000000004, 0.10000000000000001, | |
408 | 0.52359877559829882, 0.0 }, | |
409 | { 0.74745625666804383, -0.80000000000000004, 0.10000000000000001, | |
410 | 0.69813170079773179, 0.0 }, | |
411 | { 0.97046953684238557, -0.80000000000000004, 0.10000000000000001, | |
412 | 0.87266462599716477, 0.0 }, | |
413 | { 1.2183080025184605, -0.80000000000000004, 0.10000000000000001, | |
414 | 1.0471975511965976, 0.0 }, | |
415 | { 1.4943711151994405, -0.80000000000000004, 0.10000000000000001, | |
416 | 1.2217304763960306, 0.0 }, | |
417 | { 1.7972401309544201, -0.80000000000000004, 0.10000000000000001, | |
418 | 1.3962634015954636, 0.0 }, | |
419 | { 2.1172616484005085, -0.80000000000000004, 0.10000000000000001, | |
420 | 1.5707963267948966, 0.0 }, | |
421 | }; | |
422 | const double toler012 = 2.5000000000000020e-13; | |
7c62b943 BK |
423 | |
424 | // Test data for k=-0.80000000000000004, nu=0.20000000000000001. | |
b4688136 ESR |
425 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 |
426 | // max(|f - f_Boost| / |f_Boost|): 7.8513740186068518e-16 | |
427 | // mean(f - f_Boost): 2.8310687127941490e-16 | |
428 | // variance(f - f_Boost): 2.7528339102381189e-31 | |
429 | // stddev(f - f_Boost): 5.2467455724840699e-16 | |
430 | const testcase_ellint_3<double> | |
431 | data013[10] = | |
432 | { | |
433 | { 0.0000000000000000, -0.80000000000000004, 0.20000000000000001, | |
434 | 0.0000000000000000, 0.0 }, | |
435 | { 0.17545718375086419, -0.80000000000000004, 0.20000000000000001, | |
436 | 0.17453292519943295, 0.0 }, | |
437 | { 0.35652404627248163, -0.80000000000000004, 0.20000000000000001, | |
438 | 0.34906585039886590, 0.0 }, | |
439 | { 0.54911638512920913, -0.80000000000000004, 0.20000000000000001, | |
440 | 0.52359877559829882, 0.0 }, | |
441 | { 0.75967684282131176, -0.80000000000000004, 0.20000000000000001, | |
442 | 0.69813170079773179, 0.0 }, | |
443 | { 0.99513526893543769, -0.80000000000000004, 0.20000000000000001, | |
444 | 0.87266462599716477, 0.0 }, | |
445 | { 1.2622192109995993, -0.80000000000000004, 0.20000000000000001, | |
446 | 1.0471975511965976, 0.0 }, | |
447 | { 1.5654106676347741, -0.80000000000000004, 0.20000000000000001, | |
448 | 1.2217304763960306, 0.0 }, | |
449 | { 1.9029531718534984, -0.80000000000000004, 0.20000000000000001, | |
450 | 1.3962634015954636, 0.0 }, | |
451 | { 2.2624789434186798, -0.80000000000000004, 0.20000000000000001, | |
452 | 1.5707963267948966, 0.0 }, | |
453 | }; | |
454 | const double toler013 = 2.5000000000000020e-13; | |
455 | ||
456 | // Test data for k=-0.80000000000000004, nu=0.30000000000000004. | |
457 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
458 | // max(|f - f_Boost| / |f_Boost|): 7.2825261583337354e-16 | |
459 | // mean(f - f_Boost): 2.6367796834847468e-16 | |
460 | // variance(f - f_Boost): 2.8249350208968825e-31 | |
461 | // stddev(f - f_Boost): 5.3150117788175054e-16 | |
462 | const testcase_ellint_3<double> | |
463 | data014[10] = | |
464 | { | |
465 | { 0.0000000000000000, -0.80000000000000004, 0.30000000000000004, | |
466 | 0.0000000000000000, 0.0 }, | |
467 | { 0.17563597931587369, -0.80000000000000004, 0.30000000000000004, | |
468 | 0.17453292519943295, 0.0 }, | |
469 | { 0.35799220412005128, -0.80000000000000004, 0.30000000000000004, | |
470 | 0.34906585039886590, 0.0 }, | |
471 | { 0.55428253691111318, -0.80000000000000004, 0.30000000000000004, | |
472 | 0.52359877559829882, 0.0 }, | |
473 | { 0.77260647376977365, -0.80000000000000004, 0.30000000000000004, | |
474 | 0.69813170079773179, 0.0 }, | |
475 | { 1.0220015271210958, -0.80000000000000004, 0.30000000000000004, | |
476 | 0.87266462599716477, 0.0 }, | |
477 | { 1.3115965312302671, -0.80000000000000004, 0.30000000000000004, | |
478 | 1.0471975511965976, 0.0 }, | |
479 | { 1.6478518468813512, -0.80000000000000004, 0.30000000000000004, | |
480 | 1.2217304763960306, 0.0 }, | |
481 | { 2.0290458414203481, -0.80000000000000004, 0.30000000000000004, | |
482 | 1.3962634015954636, 0.0 }, | |
483 | { 2.4392042002725693, -0.80000000000000004, 0.30000000000000004, | |
484 | 1.5707963267948966, 0.0 }, | |
485 | }; | |
486 | const double toler014 = 2.5000000000000020e-13; | |
7c62b943 BK |
487 | |
488 | // Test data for k=-0.80000000000000004, nu=0.40000000000000002. | |
b4688136 ESR |
489 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 9 |
490 | // max(|f - f_Boost| / |f_Boost|): 8.3462748389836647e-16 | |
491 | // mean(f - f_Boost): 3.3861802251067273e-16 | |
492 | // variance(f - f_Boost): 4.3719465706454422e-31 | |
493 | // stddev(f - f_Boost): 6.6120696991527871e-16 | |
494 | const testcase_ellint_3<double> | |
495 | data015[10] = | |
496 | { | |
497 | { 0.0000000000000000, -0.80000000000000004, 0.40000000000000002, | |
498 | 0.0000000000000000, 0.0 }, | |
499 | { 0.17581543047866136, -0.80000000000000004, 0.40000000000000002, | |
500 | 0.17453292519943295, 0.0 }, | |
501 | { 0.35948208343061633, -0.80000000000000004, 0.40000000000000002, | |
502 | 0.34906585039886590, 0.0 }, | |
503 | { 0.55962280893702021, -0.80000000000000004, 0.40000000000000002, | |
504 | 0.52359877559829882, 0.0 }, | |
505 | { 0.78632063889234116, -0.80000000000000004, 0.40000000000000002, | |
506 | 0.69813170079773179, 0.0 }, | |
507 | { 1.0514333069550323, -0.80000000000000004, 0.40000000000000002, | |
508 | 0.87266462599716477, 0.0 }, | |
509 | { 1.3677213138838757, -0.80000000000000004, 0.40000000000000002, | |
510 | 1.0471975511965976, 0.0 }, | |
511 | { 1.7451736773665165, -0.80000000000000004, 0.40000000000000002, | |
512 | 1.2217304763960306, 0.0 }, | |
513 | { 2.1830100424586831, -0.80000000000000004, 0.40000000000000002, | |
514 | 1.3962634015954636, 0.0 }, | |
515 | { 2.6604037035529724, -0.80000000000000004, 0.40000000000000002, | |
516 | 1.5707963267948966, 0.0 }, | |
517 | }; | |
518 | const double toler015 = 2.5000000000000020e-13; | |
7c62b943 BK |
519 | |
520 | // Test data for k=-0.80000000000000004, nu=0.50000000000000000. | |
b4688136 ESR |
521 | // max(|f - f_Boost|): 2.6645352591003757e-15 at index 9 |
522 | // max(|f - f_Boost| / |f_Boost|): 9.0388243828581744e-16 | |
523 | // mean(f - f_Boost): 3.8580250105724191e-16 | |
524 | // variance(f - f_Boost): 6.4106456575047741e-31 | |
525 | // stddev(f - f_Boost): 8.0066507713929764e-16 | |
526 | const testcase_ellint_3<double> | |
527 | data016[10] = | |
528 | { | |
529 | { 0.0000000000000000, -0.80000000000000004, 0.50000000000000000, | |
530 | 0.0000000000000000, 0.0 }, | |
531 | { 0.17599554153999472, -0.80000000000000004, 0.50000000000000000, | |
532 | 0.17453292519943295, 0.0 }, | |
533 | { 0.36099426243351540, -0.80000000000000004, 0.50000000000000000, | |
534 | 0.34906585039886590, 0.0 }, | |
535 | { 0.56514786174780673, -0.80000000000000004, 0.50000000000000000, | |
536 | 0.52359877559829882, 0.0 }, | |
537 | { 0.80090697622371010, -0.80000000000000004, 0.50000000000000000, | |
538 | 0.69813170079773179, 0.0 }, | |
539 | { 1.0838891627679339, -0.80000000000000004, 0.50000000000000000, | |
540 | 0.87266462599716477, 0.0 }, | |
541 | { 1.4323506654466280, -0.80000000000000004, 0.50000000000000000, | |
542 | 1.0471975511965976, 0.0 }, | |
543 | { 1.8625761085390575, -0.80000000000000004, 0.50000000000000000, | |
544 | 1.2217304763960306, 0.0 }, | |
545 | { 2.3768757305654766, -0.80000000000000004, 0.50000000000000000, | |
546 | 1.3962634015954636, 0.0 }, | |
547 | { 2.9478781158239746, -0.80000000000000004, 0.50000000000000000, | |
548 | 1.5707963267948966, 0.0 }, | |
549 | }; | |
550 | const double toler016 = 2.5000000000000020e-13; | |
551 | ||
552 | // Test data for k=-0.80000000000000004, nu=0.60000000000000009. | |
553 | // max(|f - f_Boost|): 3.5527136788005009e-15 at index 9 | |
554 | // max(|f - f_Boost| / |f_Boost|): 1.0631099169042069e-15 | |
555 | // mean(f - f_Boost): 4.8294701571194306e-16 | |
556 | // variance(f - f_Boost): 1.1633910328160319e-30 | |
557 | // stddev(f - f_Boost): 1.0786060600682865e-15 | |
558 | const testcase_ellint_3<double> | |
559 | data017[10] = | |
560 | { | |
561 | { 0.0000000000000000, -0.80000000000000004, 0.60000000000000009, | |
562 | 0.0000000000000000, 0.0 }, | |
563 | { 0.17617631684170665, -0.80000000000000004, 0.60000000000000009, | |
564 | 0.17453292519943295, 0.0 }, | |
565 | { 0.36252934193666231, -0.80000000000000004, 0.60000000000000009, | |
566 | 0.34906585039886590, 0.0 }, | |
567 | { 0.57086932622945163, -0.80000000000000004, 0.60000000000000009, | |
568 | 0.52359877559829882, 0.0 }, | |
569 | { 0.81646796740150973, -0.80000000000000004, 0.60000000000000009, | |
570 | 0.69813170079773179, 0.0 }, | |
571 | { 1.1199552158519064, -0.80000000000000004, 0.60000000000000009, | |
572 | 0.87266462599716477, 0.0 }, | |
573 | { 1.5079766673336394, -0.80000000000000004, 0.60000000000000009, | |
574 | 1.0471975511965976, 0.0 }, | |
575 | { 2.0082747447038165, -0.80000000000000004, 0.60000000000000009, | |
576 | 1.2217304763960306, 0.0 }, | |
577 | { 2.6315146066775523, -0.80000000000000004, 0.60000000000000009, | |
578 | 1.3962634015954636, 0.0 }, | |
579 | { 3.3418121892288051, -0.80000000000000004, 0.60000000000000009, | |
580 | 1.5707963267948966, 0.0 }, | |
581 | }; | |
582 | const double toler017 = 2.5000000000000020e-13; | |
583 | ||
584 | // Test data for k=-0.80000000000000004, nu=0.70000000000000007. | |
585 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 9 | |
586 | // max(|f - f_Boost| / |f_Boost|): 5.6544679145741375e-16 | |
587 | // mean(f - f_Boost): 3.2751579226442120e-16 | |
588 | // variance(f - f_Boost): 4.4236851331020672e-31 | |
589 | // stddev(f - f_Boost): 6.6510789599147505e-16 | |
590 | const testcase_ellint_3<double> | |
591 | data018[10] = | |
592 | { | |
593 | { 0.0000000000000000, -0.80000000000000004, 0.70000000000000007, | |
594 | 0.0000000000000000, 0.0 }, | |
595 | { 0.17635776076721221, -0.80000000000000004, 0.70000000000000007, | |
596 | 0.17453292519943295, 0.0 }, | |
597 | { 0.36408794649916976, -0.80000000000000004, 0.70000000000000007, | |
598 | 0.34906585039886590, 0.0 }, | |
599 | { 0.57679992290624138, -0.80000000000000004, 0.70000000000000007, | |
600 | 0.52359877559829882, 0.0 }, | |
601 | { 0.83312441418142813, -0.80000000000000004, 0.70000000000000007, | |
602 | 0.69813170079773179, 0.0 }, | |
603 | { 1.1603958891464856, -0.80000000000000004, 0.70000000000000007, | |
604 | 0.87266462599716477, 0.0 }, | |
605 | { 1.5982855143796213, -0.80000000000000004, 0.70000000000000007, | |
606 | 1.0471975511965976, 0.0 }, | |
607 | { 2.1962484408371821, -0.80000000000000004, 0.70000000000000007, | |
608 | 1.2217304763960306, 0.0 }, | |
609 | { 2.9873281786111869, -0.80000000000000004, 0.70000000000000007, | |
610 | 1.3962634015954636, 0.0 }, | |
611 | { 3.9268876980046397, -0.80000000000000004, 0.70000000000000007, | |
612 | 1.5707963267948966, 0.0 }, | |
613 | }; | |
614 | const double toler018 = 2.5000000000000020e-13; | |
7c62b943 BK |
615 | |
616 | // Test data for k=-0.80000000000000004, nu=0.80000000000000004. | |
b4688136 ESR |
617 | // max(|f - f_Boost|): 4.4408920985006262e-15 at index 9 |
618 | // max(|f - f_Boost| / |f_Boost|): 9.0176949165011079e-16 | |
619 | // mean(f - f_Boost): 7.0499162063697436e-16 | |
620 | // variance(f - f_Boost): 1.7230805408026989e-30 | |
621 | // stddev(f - f_Boost): 1.3126616246400665e-15 | |
622 | const testcase_ellint_3<double> | |
623 | data019[10] = | |
624 | { | |
625 | { 0.0000000000000000, -0.80000000000000004, 0.80000000000000004, | |
626 | 0.0000000000000000, 0.0 }, | |
627 | { 0.17653987774203392, -0.80000000000000004, 0.80000000000000004, | |
628 | 0.17453292519943295, 0.0 }, | |
629 | { 0.36567072568046877, -0.80000000000000004, 0.80000000000000004, | |
630 | 0.34906585039886590, 0.0 }, | |
631 | { 0.58295359996558616, -0.80000000000000004, 0.80000000000000004, | |
632 | 0.52359877559829882, 0.0 }, | |
633 | { 0.85101998309176108, -0.80000000000000004, 0.80000000000000004, | |
634 | 0.69813170079773179, 0.0 }, | |
635 | { 1.2062322059736537, -0.80000000000000004, 0.80000000000000004, | |
636 | 0.87266462599716477, 0.0 }, | |
637 | { 1.7090321420917429, -0.80000000000000004, 0.80000000000000004, | |
638 | 1.0471975511965976, 0.0 }, | |
639 | { 2.4529058049405066, -0.80000000000000004, 0.80000000000000004, | |
640 | 1.2217304763960306, 0.0 }, | |
641 | { 3.5368893360106948, -0.80000000000000004, 0.80000000000000004, | |
642 | 1.3962634015954636, 0.0 }, | |
643 | { 4.9246422058196062, -0.80000000000000004, 0.80000000000000004, | |
644 | 1.5707963267948966, 0.0 }, | |
645 | }; | |
646 | const double toler019 = 2.5000000000000020e-13; | |
7c62b943 BK |
647 | |
648 | // Test data for k=-0.80000000000000004, nu=0.90000000000000002. | |
b4688136 ESR |
649 | // max(|f - f_Boost|): 4.4408920985006262e-15 at index 9 |
650 | // max(|f - f_Boost| / |f_Boost|): 7.7782721357365268e-16 | |
651 | // mean(f - f_Boost): 8.9928064994637676e-16 | |
652 | // variance(f - f_Boost): 1.5485199571025344e-30 | |
653 | // stddev(f - f_Boost): 1.2443954183066307e-15 | |
654 | const testcase_ellint_3<double> | |
655 | data020[10] = | |
656 | { | |
657 | { 0.0000000000000000, -0.80000000000000004, 0.90000000000000002, | |
658 | 0.0000000000000000, 0.0 }, | |
659 | { 0.17672267223433513, -0.80000000000000004, 0.90000000000000002, | |
660 | 0.17453292519943295, 0.0 }, | |
661 | { 0.36727835537196063, -0.80000000000000004, 0.90000000000000002, | |
662 | 0.34906585039886590, 0.0 }, | |
663 | { 0.58934569363716649, -0.80000000000000004, 0.90000000000000002, | |
664 | 0.52359877559829882, 0.0 }, | |
665 | { 0.87032723471138851, -0.80000000000000004, 0.90000000000000002, | |
666 | 0.69813170079773179, 0.0 }, | |
667 | { 1.2588676111323349, -0.80000000000000004, 0.90000000000000002, | |
668 | 0.87266462599716477, 0.0 }, | |
669 | { 1.8498731900660019, -0.80000000000000004, 0.90000000000000002, | |
670 | 1.0471975511965976, 0.0 }, | |
671 | { 2.8368381299300420, -0.80000000000000004, 0.90000000000000002, | |
672 | 1.2217304763960306, 0.0 }, | |
673 | { 4.5674844191654058, -0.80000000000000004, 0.90000000000000002, | |
674 | 1.3962634015954636, 0.0 }, | |
675 | { 7.2263259298637115, -0.80000000000000004, 0.90000000000000002, | |
676 | 1.5707963267948966, 0.0 }, | |
677 | }; | |
678 | const double toler020 = 2.5000000000000020e-13; | |
7c62b943 BK |
679 | |
680 | // Test data for k=-0.69999999999999996, nu=0.0000000000000000. | |
b4688136 ESR |
681 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 |
682 | // max(|f - f_Boost| / |f_Boost|): 5.5425633303580569e-16 | |
683 | // mean(f - f_Boost): 7.7715611723760953e-17 | |
684 | // variance(f - f_Boost): 7.4564398834547797e-34 | |
685 | // stddev(f - f_Boost): 2.7306482533374340e-17 | |
686 | const testcase_ellint_3<double> | |
687 | data021[10] = | |
688 | { | |
689 | { 0.0000000000000000, -0.69999999999999996, 0.0000000000000000, | |
690 | 0.0000000000000000, 0.0 }, | |
691 | { 0.17496737466916723, -0.69999999999999996, 0.0000000000000000, | |
692 | 0.17453292519943295, 0.0 }, | |
693 | { 0.35254687535677931, -0.69999999999999996, 0.0000000000000000, | |
694 | 0.34906585039886590, 0.0 }, | |
695 | { 0.53536740275997130, -0.69999999999999996, 0.0000000000000000, | |
696 | 0.52359877559829882, 0.0 }, | |
697 | { 0.72603797651684454, -0.69999999999999996, 0.0000000000000000, | |
698 | 0.69813170079773179, 0.0 }, | |
699 | { 0.92698296348313447, -0.69999999999999996, 0.0000000000000000, | |
700 | 0.87266462599716477, 0.0 }, | |
701 | { 1.1400447527693316, -0.69999999999999996, 0.0000000000000000, | |
702 | 1.0471975511965976, 0.0 }, | |
703 | { 1.3657668117194071, -0.69999999999999996, 0.0000000000000000, | |
704 | 1.2217304763960306, 0.0 }, | |
705 | { 1.6024686895959162, -0.69999999999999996, 0.0000000000000000, | |
706 | 1.3962634015954636, 0.0 }, | |
707 | { 1.8456939983747234, -0.69999999999999996, 0.0000000000000000, | |
708 | 1.5707963267948966, 0.0 }, | |
709 | }; | |
710 | const double toler021 = 2.5000000000000020e-13; | |
7c62b943 BK |
711 | |
712 | // Test data for k=-0.69999999999999996, nu=0.10000000000000001. | |
b4688136 ESR |
713 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 |
714 | // max(|f - f_Boost| / |f_Boost|): 5.2736371663370261e-16 | |
715 | // mean(f - f_Boost): 8.8817841970012528e-17 | |
716 | // variance(f - f_Boost): 9.7390235212470591e-34 | |
717 | // stddev(f - f_Boost): 3.1207408609570677e-17 | |
718 | const testcase_ellint_3<double> | |
719 | data022[10] = | |
720 | { | |
721 | { 0.0000000000000000, -0.69999999999999996, 0.10000000000000001, | |
722 | 0.0000000000000000, 0.0 }, | |
723 | { 0.17514462737300920, -0.69999999999999996, 0.10000000000000001, | |
724 | 0.17453292519943295, 0.0 }, | |
725 | { 0.35396527997470451, -0.69999999999999996, 0.10000000000000001, | |
726 | 0.34906585039886590, 0.0 }, | |
727 | { 0.54015179589433981, -0.69999999999999996, 0.10000000000000001, | |
728 | 0.52359877559829882, 0.0 }, | |
729 | { 0.73734430854477728, -0.69999999999999996, 0.10000000000000001, | |
730 | 0.69813170079773179, 0.0 }, | |
731 | { 0.94888950796697047, -0.69999999999999996, 0.10000000000000001, | |
732 | 0.87266462599716477, 0.0 }, | |
733 | { 1.1772807959736322, -0.69999999999999996, 0.10000000000000001, | |
734 | 1.0471975511965976, 0.0 }, | |
735 | { 1.4231796401075831, -0.69999999999999996, 0.10000000000000001, | |
736 | 1.2217304763960306, 0.0 }, | |
737 | { 1.6841856799887469, -0.69999999999999996, 0.10000000000000001, | |
738 | 1.3962634015954636, 0.0 }, | |
739 | { 1.9541347343119562, -0.69999999999999996, 0.10000000000000001, | |
740 | 1.5707963267948966, 0.0 }, | |
741 | }; | |
742 | const double toler022 = 2.5000000000000020e-13; | |
7c62b943 BK |
743 | |
744 | // Test data for k=-0.69999999999999996, nu=0.20000000000000001. | |
b4688136 ESR |
745 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 |
746 | // max(|f - f_Boost| / |f_Boost|): 4.9907249355047774e-16 | |
747 | // mean(f - f_Boost): 3.3306690738754695e-17 | |
748 | // variance(f - f_Boost): 1.3695501826753678e-34 | |
749 | // stddev(f - f_Boost): 1.1702778228589003e-17 | |
750 | const testcase_ellint_3<double> | |
751 | data023[10] = | |
752 | { | |
753 | { 0.0000000000000000, -0.69999999999999996, 0.20000000000000001, | |
754 | 0.0000000000000000, 0.0 }, | |
755 | { 0.17532252613350796, -0.69999999999999996, 0.20000000000000001, | |
756 | 0.17453292519943295, 0.0 }, | |
757 | { 0.35540417596807522, -0.69999999999999996, 0.20000000000000001, | |
758 | 0.34906585039886590, 0.0 }, | |
759 | { 0.54508913033361928, -0.69999999999999996, 0.20000000000000001, | |
760 | 0.52359877559829882, 0.0 }, | |
761 | { 0.74927635777718415, -0.69999999999999996, 0.20000000000000001, | |
762 | 0.69813170079773179, 0.0 }, | |
763 | { 0.97261706337936338, -0.69999999999999996, 0.20000000000000001, | |
764 | 0.87266462599716477, 0.0 }, | |
765 | { 1.2187303976209327, -0.69999999999999996, 0.20000000000000001, | |
766 | 1.0471975511965976, 0.0 }, | |
767 | { 1.4887796709222487, -0.69999999999999996, 0.20000000000000001, | |
768 | 1.2217304763960306, 0.0 }, | |
769 | { 1.7796581281839212, -0.69999999999999996, 0.20000000000000001, | |
770 | 1.3962634015954636, 0.0 }, | |
771 | { 2.0829290325820202, -0.69999999999999996, 0.20000000000000001, | |
772 | 1.5707963267948966, 0.0 }, | |
773 | }; | |
774 | const double toler023 = 2.5000000000000020e-13; | |
775 | ||
776 | // Test data for k=-0.69999999999999996, nu=0.30000000000000004. | |
777 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 | |
778 | // max(|f - f_Boost| / |f_Boost|): 4.6912897610535316e-16 | |
779 | // mean(f - f_Boost): 1.6653345369377347e-17 | |
780 | // variance(f - f_Boost): 2.6207864467918357e-32 | |
781 | // stddev(f - f_Boost): 1.6188843216214787e-16 | |
782 | const testcase_ellint_3<double> | |
783 | data024[10] = | |
784 | { | |
785 | { 0.0000000000000000, -0.69999999999999996, 0.30000000000000004, | |
786 | 0.0000000000000000, 0.0 }, | |
787 | { 0.17550107516328570, -0.69999999999999996, 0.30000000000000004, | |
788 | 0.17453292519943295, 0.0 }, | |
789 | { 0.35686409576571959, -0.69999999999999996, 0.30000000000000004, | |
790 | 0.34906585039886590, 0.0 }, | |
791 | { 0.55018827316513352, -0.69999999999999996, 0.30000000000000004, | |
792 | 0.52359877559829882, 0.0 }, | |
793 | { 0.76189759494390275, -0.69999999999999996, 0.30000000000000004, | |
794 | 0.69813170079773179, 0.0 }, | |
795 | { 0.99844623430885615, -0.69999999999999996, 0.30000000000000004, | |
796 | 0.87266462599716477, 0.0 }, | |
797 | { 1.2652862989039833, -0.69999999999999996, 0.30000000000000004, | |
798 | 1.0471975511965976, 0.0 }, | |
799 | { 1.5647666808691361, -0.69999999999999996, 0.30000000000000004, | |
800 | 1.2217304763960306, 0.0 }, | |
801 | { 1.8932499694938163, -0.69999999999999996, 0.30000000000000004, | |
802 | 1.3962634015954636, 0.0 }, | |
803 | { 2.2392290510988535, -0.69999999999999996, 0.30000000000000004, | |
804 | 1.5707963267948966, 0.0 }, | |
805 | }; | |
806 | const double toler024 = 2.5000000000000020e-13; | |
7c62b943 BK |
807 | |
808 | // Test data for k=-0.69999999999999996, nu=0.40000000000000002. | |
b4688136 ESR |
809 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 8 |
810 | // max(|f - f_Boost| / |f_Boost|): 6.5578567644745380e-16 | |
811 | // mean(f - f_Boost): 1.4710455076283324e-16 | |
812 | // variance(f - f_Boost): 2.6715739327327140e-33 | |
813 | // stddev(f - f_Boost): 5.1687270509601433e-17 | |
814 | const testcase_ellint_3<double> | |
815 | data025[10] = | |
816 | { | |
817 | { 0.0000000000000000, -0.69999999999999996, 0.40000000000000002, | |
818 | 0.0000000000000000, 0.0 }, | |
819 | { 0.17568027871494424, -0.69999999999999996, 0.40000000000000002, | |
820 | 0.17453292519943295, 0.0 }, | |
821 | { 0.35834559208180261, -0.69999999999999996, 0.40000000000000002, | |
822 | 0.34906585039886590, 0.0 }, | |
823 | { 0.55545885451190613, -0.69999999999999996, 0.40000000000000002, | |
824 | 0.52359877559829882, 0.0 }, | |
825 | { 0.77528120402568101, -0.69999999999999996, 0.40000000000000002, | |
826 | 0.69813170079773179, 0.0 }, | |
827 | { 1.0267241287600319, -0.69999999999999996, 0.40000000000000002, | |
828 | 0.87266462599716477, 0.0 }, | |
829 | { 1.3181380338980246, -0.69999999999999996, 0.40000000000000002, | |
830 | 1.0471975511965976, 0.0 }, | |
831 | { 1.6542840785132085, -0.69999999999999996, 0.40000000000000002, | |
832 | 1.2217304763960306, 0.0 }, | |
833 | { 2.0315595131131818, -0.69999999999999996, 0.40000000000000002, | |
834 | 1.3962634015954636, 0.0 }, | |
835 | { 2.4342502915307875, -0.69999999999999996, 0.40000000000000002, | |
836 | 1.5707963267948966, 0.0 }, | |
837 | }; | |
838 | const double toler025 = 2.5000000000000020e-13; | |
7c62b943 BK |
839 | |
840 | // Test data for k=-0.69999999999999996, nu=0.50000000000000000. | |
b4688136 ESR |
841 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 8 |
842 | // max(|f - f_Boost| / |f_Boost|): 6.0416041815443256e-16 | |
843 | // mean(f - f_Boost): 1.9151347174783951e-16 | |
844 | // variance(f - f_Boost): 7.8758646268991113e-33 | |
845 | // stddev(f - f_Boost): 8.8746068233466605e-17 | |
846 | const testcase_ellint_3<double> | |
847 | data026[10] = | |
848 | { | |
849 | { 0.0000000000000000, -0.69999999999999996, 0.50000000000000000, | |
850 | 0.0000000000000000, 0.0 }, | |
851 | { 0.17586014108156545, -0.69999999999999996, 0.50000000000000000, | |
852 | 0.17453292519943295, 0.0 }, | |
853 | { 0.35984923894341653, -0.69999999999999996, 0.50000000000000000, | |
854 | 0.34906585039886590, 0.0 }, | |
855 | { 0.56091135606739995, -0.69999999999999996, 0.50000000000000000, | |
856 | 0.52359877559829882, 0.0 }, | |
857 | { 0.78951212635197054, -0.69999999999999996, 0.50000000000000000, | |
858 | 0.69813170079773179, 0.0 }, | |
859 | { 1.0578865732938729, -0.69999999999999996, 0.50000000000000000, | |
860 | 0.87266462599716477, 0.0 }, | |
861 | { 1.3789149005151722, -0.69999999999999996, 0.50000000000000000, | |
862 | 1.0471975511965976, 0.0 }, | |
863 | { 1.7620212286086225, -0.69999999999999996, 0.50000000000000000, | |
864 | 1.2217304763960306, 0.0 }, | |
865 | { 2.2051554347435585, -0.69999999999999996, 0.50000000000000000, | |
866 | 1.3962634015954636, 0.0 }, | |
867 | { 2.6868019968236991, -0.69999999999999996, 0.50000000000000000, | |
868 | 1.5707963267948966, 0.0 }, | |
869 | }; | |
870 | const double toler026 = 2.5000000000000020e-13; | |
871 | ||
872 | // Test data for k=-0.69999999999999996, nu=0.60000000000000009. | |
873 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 | |
874 | // max(|f - f_Boost| / |f_Boost|): 3.6515644573247170e-16 | |
875 | // mean(f - f_Boost): 9.9920072216264091e-17 | |
876 | // variance(f - f_Boost): 1.2325951644078310e-33 | |
877 | // stddev(f - f_Boost): 3.5108334685767011e-17 | |
878 | const testcase_ellint_3<double> | |
879 | data027[10] = | |
880 | { | |
881 | { 0.0000000000000000, -0.69999999999999996, 0.60000000000000009, | |
882 | 0.0000000000000000, 0.0 }, | |
883 | { 0.17604066659721918, -0.69999999999999996, 0.60000000000000009, | |
884 | 0.17453292519943295, 0.0 }, | |
885 | { 0.36137563278353424, -0.69999999999999996, 0.60000000000000009, | |
886 | 0.34906585039886590, 0.0 }, | |
887 | { 0.56655721272747606, -0.69999999999999996, 0.60000000000000009, | |
888 | 0.52359877559829882, 0.0 }, | |
889 | { 0.80468966552978305, -0.69999999999999996, 0.60000000000000009, | |
890 | 0.69813170079773179, 0.0 }, | |
891 | { 1.0924902943683852, -0.69999999999999996, 0.60000000000000009, | |
892 | 0.87266462599716477, 0.0 }, | |
893 | { 1.4499247992499797, -0.69999999999999996, 0.60000000000000009, | |
894 | 1.0471975511965976, 0.0 }, | |
895 | { 1.8953714382113815, -0.69999999999999996, 0.60000000000000009, | |
896 | 1.2217304763960306, 0.0 }, | |
897 | { 2.4323229949248670, -0.69999999999999996, 0.60000000000000009, | |
898 | 1.3962634015954636, 0.0 }, | |
899 | { 3.0314573496746742, -0.69999999999999996, 0.60000000000000009, | |
900 | 1.5707963267948966, 0.0 }, | |
901 | }; | |
902 | const double toler027 = 2.5000000000000020e-13; | |
903 | ||
904 | // Test data for k=-0.69999999999999996, nu=0.70000000000000007. | |
905 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 8 | |
906 | // max(|f - f_Boost| / |f_Boost|): 4.8475278552871384e-16 | |
907 | // mean(f - f_Boost): 9.9920072216264091e-17 | |
908 | // variance(f - f_Boost): 1.2325951644078310e-33 | |
909 | // stddev(f - f_Boost): 3.5108334685767011e-17 | |
910 | const testcase_ellint_3<double> | |
911 | data028[10] = | |
912 | { | |
913 | { 0.0000000000000000, -0.69999999999999996, 0.70000000000000007, | |
914 | 0.0000000000000000, 0.0 }, | |
915 | { 0.17622185963747933, -0.69999999999999996, 0.70000000000000007, | |
916 | 0.17453292519943295, 0.0 }, | |
917 | { 0.36292539360435261, -0.69999999999999996, 0.70000000000000007, | |
918 | 0.34906585039886590, 0.0 }, | |
919 | { 0.57240892970150015, -0.69999999999999996, 0.70000000000000007, | |
920 | 0.52359877559829882, 0.0 }, | |
921 | { 0.82093084713182629, -0.69999999999999996, 0.70000000000000007, | |
922 | 0.69813170079773179, 0.0 }, | |
923 | { 1.1312609022179871, -0.69999999999999996, 0.70000000000000007, | |
924 | 0.87266462599716477, 0.0 }, | |
925 | { 1.5345768067715795, -0.69999999999999996, 0.70000000000000007, | |
926 | 1.0471975511965976, 0.0 }, | |
927 | { 2.0668847445934420, -0.69999999999999996, 0.70000000000000007, | |
928 | 1.2217304763960306, 0.0 }, | |
929 | { 2.7483444537551240, -0.69999999999999996, 0.70000000000000007, | |
930 | 1.3962634015954636, 0.0 }, | |
931 | { 3.5408408771788560, -0.69999999999999996, 0.70000000000000007, | |
932 | 1.5707963267948966, 0.0 }, | |
933 | }; | |
934 | const double toler028 = 2.5000000000000020e-13; | |
7c62b943 BK |
935 | |
936 | // Test data for k=-0.69999999999999996, nu=0.80000000000000004. | |
b4688136 ESR |
937 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 8 |
938 | // max(|f - f_Boost| / |f_Boost|): 6.8664526853112274e-16 | |
939 | // mean(f - f_Boost): 1.6930901125533636e-16 | |
940 | // variance(f - f_Boost): 3.5389557150937801e-33 | |
941 | // stddev(f - f_Boost): 5.9489122661994095e-17 | |
942 | const testcase_ellint_3<double> | |
943 | data029[10] = | |
944 | { | |
945 | { 0.0000000000000000, -0.69999999999999996, 0.80000000000000004, | |
946 | 0.0000000000000000, 0.0 }, | |
947 | { 0.17640372461994805, -0.69999999999999996, 0.80000000000000004, | |
948 | 0.17453292519943295, 0.0 }, | |
949 | { 0.36449916621651091, -0.69999999999999996, 0.80000000000000004, | |
950 | 0.34906585039886590, 0.0 }, | |
951 | { 0.57848021800372573, -0.69999999999999996, 0.80000000000000004, | |
952 | 0.52359877559829882, 0.0 }, | |
953 | { 0.83837480968392586, -0.69999999999999996, 0.80000000000000004, | |
954 | 0.69813170079773179, 0.0 }, | |
955 | { 1.1751669030061143, -0.69999999999999996, 0.80000000000000004, | |
956 | 0.87266462599716477, 0.0 }, | |
957 | { 1.6381851899173601, -0.69999999999999996, 0.80000000000000004, | |
958 | 1.0471975511965976, 0.0 }, | |
959 | { 2.3002065924302197, -0.69999999999999996, 0.80000000000000004, | |
960 | 1.2217304763960306, 0.0 }, | |
961 | { 3.2337600665337862, -0.69999999999999996, 0.80000000000000004, | |
962 | 1.3962634015954636, 0.0 }, | |
963 | { 4.4042405729076961, -0.69999999999999996, 0.80000000000000004, | |
964 | 1.5707963267948966, 0.0 }, | |
965 | }; | |
966 | const double toler029 = 2.5000000000000020e-13; | |
7c62b943 BK |
967 | |
968 | // Test data for k=-0.69999999999999996, nu=0.90000000000000002. | |
b4688136 ESR |
969 | // max(|f - f_Boost|): 3.5527136788005009e-15 at index 8 |
970 | // max(|f - f_Boost| / |f_Boost|): 8.5869439826269878e-16 | |
971 | // mean(f - f_Boost): 6.7723604502134545e-16 | |
972 | // variance(f - f_Boost): 4.8757508225668289e-31 | |
973 | // stddev(f - f_Boost): 6.9826576763914390e-16 | |
974 | const testcase_ellint_3<double> | |
975 | data030[10] = | |
976 | { | |
977 | { 0.0000000000000000, -0.69999999999999996, 0.90000000000000002, | |
978 | 0.0000000000000000, 0.0 }, | |
979 | { 0.17658626600478800, -0.69999999999999996, 0.90000000000000002, | |
980 | 0.17453292519943295, 0.0 }, | |
981 | { 0.36609762156017206, -0.69999999999999996, 0.90000000000000002, | |
982 | 0.34906585039886590, 0.0 }, | |
983 | { 0.58478615187842409, -0.69999999999999996, 0.90000000000000002, | |
984 | 0.52359877559829882, 0.0 }, | |
985 | { 0.85718862878291846, -0.69999999999999996, 0.90000000000000002, | |
986 | 0.69813170079773179, 0.0 }, | |
987 | { 1.2255385617397643, -0.69999999999999996, 0.90000000000000002, | |
988 | 0.87266462599716477, 0.0 }, | |
989 | { 1.7696521899992939, -0.69999999999999996, 0.90000000000000002, | |
990 | 1.0471975511965976, 0.0 }, | |
991 | { 2.6476314987883502, -0.69999999999999996, 0.90000000000000002, | |
992 | 1.2217304763960306, 0.0 }, | |
993 | { 4.1373434902898083, -0.69999999999999996, 0.90000000000000002, | |
994 | 1.3962634015954636, 0.0 }, | |
995 | { 6.3796094177887746, -0.69999999999999996, 0.90000000000000002, | |
996 | 1.5707963267948966, 0.0 }, | |
997 | }; | |
998 | const double toler030 = 2.5000000000000020e-13; | |
7c62b943 BK |
999 | |
1000 | // Test data for k=-0.59999999999999998, nu=0.0000000000000000. | |
b4688136 ESR |
1001 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
1002 | // max(|f - f_Boost| / |f_Boost|): 3.3664899092028927e-16 | |
1003 | // mean(f - f_Boost): 5.2735593669694933e-17 | |
1004 | // variance(f - f_Boost): 3.4333862218458872e-34 | |
1005 | // stddev(f - f_Boost): 1.8529398861932589e-17 | |
1006 | const testcase_ellint_3<double> | |
1007 | data031[10] = | |
1008 | { | |
1009 | { 0.0000000000000000, -0.59999999999999998, 0.0000000000000000, | |
1010 | 0.0000000000000000, 0.0 }, | |
1011 | { 0.17485154362988359, -0.59999999999999998, 0.0000000000000000, | |
1012 | 0.17453292519943295, 0.0 }, | |
1013 | { 0.35160509865544320, -0.59999999999999998, 0.0000000000000000, | |
1014 | 0.34906585039886590, 0.0 }, | |
1015 | { 0.53210652578446138, -0.59999999999999998, 0.0000000000000000, | |
1016 | 0.52359877559829882, 0.0 }, | |
1017 | { 0.71805304664485659, -0.59999999999999998, 0.0000000000000000, | |
1018 | 0.69813170079773179, 0.0 }, | |
1019 | { 0.91082759030195981, -0.59999999999999998, 0.0000000000000000, | |
1020 | 0.87266462599716477, 0.0 }, | |
1021 | { 1.1112333229323361, -0.59999999999999998, 0.0000000000000000, | |
1022 | 1.0471975511965976, 0.0 }, | |
1023 | { 1.3191461190365270, -0.59999999999999998, 0.0000000000000000, | |
1024 | 1.2217304763960306, 0.0 }, | |
1025 | { 1.5332022105084779, -0.59999999999999998, 0.0000000000000000, | |
1026 | 1.3962634015954636, 0.0 }, | |
1027 | { 1.7507538029157523, -0.59999999999999998, 0.0000000000000000, | |
1028 | 1.5707963267948966, 0.0 }, | |
1029 | }; | |
1030 | const double toler031 = 2.5000000000000020e-13; | |
7c62b943 BK |
1031 | |
1032 | // Test data for k=-0.59999999999999998, nu=0.10000000000000001. | |
b4688136 ESR |
1033 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
1034 | // max(|f - f_Boost| / |f_Boost|): 3.2335247010355137e-16 | |
1035 | // mean(f - f_Boost): 8.6042284408449634e-17 | |
1036 | // variance(f - f_Boost): 2.2835347143080263e-33 | |
1037 | // stddev(f - f_Boost): 4.7786344433405099e-17 | |
1038 | const testcase_ellint_3<double> | |
1039 | data032[10] = | |
1040 | { | |
1041 | { 0.0000000000000000, -0.59999999999999998, 0.10000000000000001, | |
1042 | 0.0000000000000000, 0.0 }, | |
1043 | { 0.17502858548476194, -0.59999999999999998, 0.10000000000000001, | |
1044 | 0.17453292519943295, 0.0 }, | |
1045 | { 0.35301673150537388, -0.59999999999999998, 0.10000000000000001, | |
1046 | 0.34906585039886590, 0.0 }, | |
1047 | { 0.53683932476326812, -0.59999999999999998, 0.10000000000000001, | |
1048 | 0.52359877559829882, 0.0 }, | |
1049 | { 0.72914228589586771, -0.59999999999999998, 0.10000000000000001, | |
1050 | 0.69813170079773179, 0.0 }, | |
1051 | { 0.93208036718354692, -0.59999999999999998, 0.10000000000000001, | |
1052 | 0.87266462599716477, 0.0 }, | |
1053 | { 1.1468984688863377, -0.59999999999999998, 0.10000000000000001, | |
1054 | 1.0471975511965976, 0.0 }, | |
1055 | { 1.3733904977062528, -0.59999999999999998, 0.10000000000000001, | |
1056 | 1.2217304763960306, 0.0 }, | |
1057 | { 1.6094225663372157, -0.59999999999999998, 0.10000000000000001, | |
1058 | 1.3962634015954636, 0.0 }, | |
1059 | { 1.8508766487100685, -0.59999999999999998, 0.10000000000000001, | |
1060 | 1.5707963267948966, 0.0 }, | |
1061 | }; | |
1062 | const double toler032 = 2.5000000000000020e-13; | |
7c62b943 BK |
1063 | |
1064 | // Test data for k=-0.59999999999999998, nu=0.20000000000000001. | |
b4688136 ESR |
1065 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
1066 | // max(|f - f_Boost| / |f_Boost|): 3.0940560416437693e-16 | |
1067 | // mean(f - f_Boost): 4.1633363423443370e-17 | |
1068 | // variance(f - f_Boost): 8.5834655546147173e-33 | |
1069 | // stddev(f - f_Boost): 9.2646994309662939e-17 | |
1070 | const testcase_ellint_3<double> | |
1071 | data033[10] = | |
1072 | { | |
1073 | { 0.0000000000000000, -0.59999999999999998, 0.20000000000000001, | |
1074 | 0.0000000000000000, 0.0 }, | |
1075 | { 0.17520627248155893, -0.59999999999999998, 0.20000000000000001, | |
1076 | 0.17453292519943295, 0.0 }, | |
1077 | { 0.35444873935437748, -0.59999999999999998, 0.20000000000000001, | |
1078 | 0.34906585039886590, 0.0 }, | |
1079 | { 0.54172310557682524, -0.59999999999999998, 0.20000000000000001, | |
1080 | 0.52359877559829882, 0.0 }, | |
1081 | { 0.74084300280734672, -0.59999999999999998, 0.20000000000000001, | |
1082 | 0.69813170079773179, 0.0 }, | |
1083 | { 0.95509001527006121, -0.59999999999999998, 0.20000000000000001, | |
1084 | 0.87266462599716477, 0.0 }, | |
1085 | { 1.1865688084431796, -0.59999999999999998, 0.20000000000000001, | |
1086 | 1.0471975511965976, 0.0 }, | |
1087 | { 1.4352978868932598, -0.59999999999999998, 0.20000000000000001, | |
1088 | 1.2217304763960306, 0.0 }, | |
1089 | { 1.6983400371331816, -0.59999999999999998, 0.20000000000000001, | |
1090 | 1.3962634015954636, 0.0 }, | |
1091 | { 1.9695980282802215, -0.59999999999999998, 0.20000000000000001, | |
1092 | 1.5707963267948966, 0.0 }, | |
1093 | }; | |
1094 | const double toler033 = 2.5000000000000020e-13; | |
1095 | ||
1096 | // Test data for k=-0.59999999999999998, nu=0.30000000000000004. | |
1097 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 | |
1098 | // max(|f - f_Boost| / |f_Boost|): 2.9470074709717020e-16 | |
1099 | // mean(f - f_Boost): 7.4940054162198071e-17 | |
1100 | // variance(f - f_Boost): 1.6823592487044846e-32 | |
1101 | // stddev(f - f_Boost): 1.2970579203352812e-16 | |
1102 | const testcase_ellint_3<double> | |
1103 | data034[10] = | |
1104 | { | |
1105 | { 0.0000000000000000, -0.59999999999999998, 0.30000000000000004, | |
1106 | 0.0000000000000000, 0.0 }, | |
1107 | { 0.17538460882640122, -0.59999999999999998, 0.30000000000000004, | |
1108 | 0.17453292519943295, 0.0 }, | |
1109 | { 0.35590165133735557, -0.59999999999999998, 0.30000000000000004, | |
1110 | 0.34906585039886590, 0.0 }, | |
1111 | { 0.54676661152254535, -0.59999999999999998, 0.30000000000000004, | |
1112 | 0.52359877559829882, 0.0 }, | |
1113 | { 0.75321709418305305, -0.59999999999999998, 0.30000000000000004, | |
1114 | 0.69813170079773179, 0.0 }, | |
1115 | { 0.98012637808992920, -0.59999999999999998, 0.30000000000000004, | |
1116 | 0.87266462599716477, 0.0 }, | |
1117 | { 1.2310891277158875, -0.59999999999999998, 0.30000000000000004, | |
1118 | 1.0471975511965976, 0.0 }, | |
1119 | { 1.5069157924585623, -0.59999999999999998, 0.30000000000000004, | |
1120 | 1.2217304763960306, 0.0 }, | |
1121 | { 1.8039583598337940, -0.59999999999999998, 0.30000000000000004, | |
1122 | 1.3962634015954636, 0.0 }, | |
1123 | { 2.1134154405060599, -0.59999999999999998, 0.30000000000000004, | |
1124 | 1.5707963267948966, 0.0 }, | |
1125 | }; | |
1126 | const double toler034 = 2.5000000000000020e-13; | |
7c62b943 BK |
1127 | |
1128 | // Test data for k=-0.59999999999999998, nu=0.40000000000000002. | |
b4688136 ESR |
1129 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
1130 | // max(|f - f_Boost| / |f_Boost|): 2.7909659715991921e-16 | |
1131 | // mean(f - f_Boost): -2.7755575615628915e-18 | |
1132 | // variance(f - f_Boost): 2.4044165394594425e-32 | |
1133 | // stddev(f - f_Boost): 1.5506181152880429e-16 | |
1134 | const testcase_ellint_3<double> | |
1135 | data035[10] = | |
1136 | { | |
1137 | { 0.0000000000000000, -0.59999999999999998, 0.40000000000000002, | |
1138 | 0.0000000000000000, 0.0 }, | |
1139 | { 0.17556359876533037, -0.59999999999999998, 0.40000000000000002, | |
1140 | 0.17453292519943295, 0.0 }, | |
1141 | { 0.35737601674244679, -0.59999999999999998, 0.40000000000000002, | |
1142 | 0.34906585039886590, 0.0 }, | |
1143 | { 0.55197933771320218, -0.59999999999999998, 0.40000000000000002, | |
1144 | 0.52359877559829882, 0.0 }, | |
1145 | { 0.76633591620002894, -0.59999999999999998, 0.40000000000000002, | |
1146 | 0.69813170079773179, 0.0 }, | |
1147 | { 1.0075231136019616, -0.59999999999999998, 0.40000000000000002, | |
1148 | 0.87266462599716477, 0.0 }, | |
1149 | { 1.2815842073813450, -0.59999999999999998, 0.40000000000000002, | |
1150 | 1.0471975511965976, 0.0 }, | |
1151 | { 1.5911666941449827, -0.59999999999999998, 0.40000000000000002, | |
1152 | 1.2217304763960306, 0.0 }, | |
1153 | { 1.9323227566025762, -0.59999999999999998, 0.40000000000000002, | |
1154 | 1.3962634015954636, 0.0 }, | |
1155 | { 2.2925036420985130, -0.59999999999999998, 0.40000000000000002, | |
1156 | 1.5707963267948966, 0.0 }, | |
1157 | }; | |
1158 | const double toler035 = 2.5000000000000020e-13; | |
7c62b943 BK |
1159 | |
1160 | // Test data for k=-0.59999999999999998, nu=0.50000000000000000. | |
b4688136 ESR |
1161 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
1162 | // max(|f - f_Boost| / |f_Boost|): 2.6240126899196213e-16 | |
1163 | // mean(f - f_Boost): 9.1593399531575410e-17 | |
1164 | // variance(f - f_Boost): 1.0357223256482469e-33 | |
1165 | // stddev(f - f_Boost): 3.2182640128619758e-17 | |
1166 | const testcase_ellint_3<double> | |
1167 | data036[10] = | |
1168 | { | |
1169 | { 0.0000000000000000, -0.59999999999999998, 0.50000000000000000, | |
1170 | 0.0000000000000000, 0.0 }, | |
1171 | { 0.17574324658480217, -0.59999999999999998, 0.50000000000000000, | |
1172 | 0.17453292519943295, 0.0 }, | |
1173 | { 0.35887240603169313, -0.59999999999999998, 0.50000000000000000, | |
1174 | 0.34906585039886590, 0.0 }, | |
1175 | { 0.55737161826345261, -0.59999999999999998, 0.50000000000000000, | |
1176 | 0.52359877559829882, 0.0 }, | |
1177 | { 0.78028227313077458, -0.59999999999999998, 0.50000000000000000, | |
1178 | 0.69813170079773179, 0.0 }, | |
1179 | { 1.0376989776486290, -0.59999999999999998, 0.50000000000000000, | |
1180 | 0.87266462599716477, 0.0 }, | |
1181 | { 1.3395933991042925, -0.59999999999999998, 0.50000000000000000, | |
1182 | 1.0471975511965976, 0.0 }, | |
1183 | { 1.6924049626591782, -0.59999999999999998, 0.50000000000000000, | |
1184 | 1.2217304763960306, 0.0 }, | |
1185 | { 2.0931011856518920, -0.59999999999999998, 0.50000000000000000, | |
1186 | 1.3962634015954636, 0.0 }, | |
1187 | { 2.5239007084492706, -0.59999999999999998, 0.50000000000000000, | |
1188 | 1.5707963267948966, 0.0 }, | |
1189 | }; | |
1190 | const double toler036 = 2.5000000000000020e-13; | |
1191 | ||
1192 | // Test data for k=-0.59999999999999998, nu=0.60000000000000009. | |
1193 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 7 | |
1194 | // max(|f - f_Boost| / |f_Boost|): 3.6651378277398083e-16 | |
1195 | // mean(f - f_Boost): 1.1934897514720432e-16 | |
1196 | // variance(f - f_Boost): 1.7585404776158019e-33 | |
1197 | // stddev(f - f_Boost): 4.1934955319110598e-17 | |
1198 | const testcase_ellint_3<double> | |
1199 | data037[10] = | |
1200 | { | |
1201 | { 0.0000000000000000, -0.59999999999999998, 0.60000000000000009, | |
1202 | 0.0000000000000000, 0.0 }, | |
1203 | { 0.17592355661219386, -0.59999999999999998, 0.60000000000000009, | |
1204 | 0.17453292519943295, 0.0 }, | |
1205 | { 0.36039141192661606, -0.59999999999999998, 0.60000000000000009, | |
1206 | 0.34906585039886590, 0.0 }, | |
1207 | { 0.56295472636903854, -0.59999999999999998, 0.60000000000000009, | |
1208 | 0.52359877559829882, 0.0 }, | |
1209 | { 0.79515295130165986, -0.59999999999999998, 0.60000000000000009, | |
1210 | 0.69813170079773179, 0.0 }, | |
1211 | { 1.0711886441942242, -0.59999999999999998, 0.60000000000000009, | |
1212 | 0.87266462599716477, 0.0 }, | |
1213 | { 1.4072952835139891, -0.59999999999999998, 0.60000000000000009, | |
1214 | 1.0471975511965976, 0.0 }, | |
1215 | { 1.8174863977376825, -0.59999999999999998, 0.60000000000000009, | |
1216 | 1.2217304763960306, 0.0 }, | |
1217 | { 2.3029921578542232, -0.59999999999999998, 0.60000000000000009, | |
1218 | 1.3962634015954636, 0.0 }, | |
1219 | { 2.8388723099514972, -0.59999999999999998, 0.60000000000000009, | |
1220 | 1.5707963267948966, 0.0 }, | |
1221 | }; | |
1222 | const double toler037 = 2.5000000000000020e-13; | |
1223 | ||
1224 | // Test data for k=-0.59999999999999998, nu=0.70000000000000007. | |
1225 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 | |
1226 | // max(|f - f_Boost| / |f_Boost|): 2.2451074234797436e-16 | |
1227 | // mean(f - f_Boost): 5.2735593669694933e-17 | |
1228 | // variance(f - f_Boost): 3.4333862218458872e-34 | |
1229 | // stddev(f - f_Boost): 1.8529398861932589e-17 | |
1230 | const testcase_ellint_3<double> | |
1231 | data038[10] = | |
1232 | { | |
1233 | { 0.0000000000000000, -0.59999999999999998, 0.70000000000000007, | |
1234 | 0.0000000000000000, 0.0 }, | |
1235 | { 0.17610453321631936, -0.59999999999999998, 0.70000000000000007, | |
1236 | 0.17453292519943295, 0.0 }, | |
1237 | { 0.36193365056369764, -0.59999999999999998, 0.70000000000000007, | |
1238 | 0.34906585039886590, 0.0 }, | |
1239 | { 0.56874098962268527, -0.59999999999999998, 0.70000000000000007, | |
1240 | 0.52359877559829882, 0.0 }, | |
1241 | { 0.81106198671477181, -0.59999999999999998, 0.70000000000000007, | |
1242 | 0.69813170079773179, 0.0 }, | |
1243 | { 1.1086886419010082, -0.59999999999999998, 0.70000000000000007, | |
1244 | 0.87266462599716477, 0.0 }, | |
1245 | { 1.4879048567239257, -0.59999999999999998, 0.70000000000000007, | |
1246 | 1.0471975511965976, 0.0 }, | |
1247 | { 1.9780310073615923, -0.59999999999999998, 0.70000000000000007, | |
1248 | 1.2217304763960306, 0.0 }, | |
1249 | { 2.5941545586772712, -0.59999999999999998, 0.70000000000000007, | |
1250 | 1.3962634015954636, 0.0 }, | |
1251 | { 3.3029735898397155, -0.59999999999999998, 0.70000000000000007, | |
1252 | 1.5707963267948966, 0.0 }, | |
1253 | }; | |
1254 | const double toler038 = 2.5000000000000020e-13; | |
7c62b943 BK |
1255 | |
1256 | // Test data for k=-0.59999999999999998, nu=0.80000000000000004. | |
b4688136 ESR |
1257 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 8 |
1258 | // max(|f - f_Boost| / |f_Boost|): 4.3826960061025914e-16 | |
1259 | // mean(f - f_Boost): 2.7478019859472625e-16 | |
1260 | // variance(f - f_Boost): 4.6451528105588637e-32 | |
1261 | // stddev(f - f_Boost): 2.1552616570984749e-16 | |
1262 | const testcase_ellint_3<double> | |
1263 | data039[10] = | |
1264 | { | |
1265 | { 0.0000000000000000, -0.59999999999999998, 0.80000000000000004, | |
1266 | 0.0000000000000000, 0.0 }, | |
1267 | { 0.17628618080795252, -0.59999999999999998, 0.80000000000000004, | |
1268 | 0.17453292519943295, 0.0 }, | |
1269 | { 0.36349976272521012, -0.59999999999999998, 0.80000000000000004, | |
1270 | 0.34906585039886590, 0.0 }, | |
1271 | { 0.57474392342151914, -0.59999999999999998, 0.80000000000000004, | |
1272 | 0.52359877559829882, 0.0 }, | |
1273 | { 0.82814493499158159, -0.59999999999999998, 0.80000000000000004, | |
1274 | 0.69813170079773179, 0.0 }, | |
1275 | { 1.1511281795998280, -0.59999999999999998, 0.80000000000000004, | |
1276 | 0.87266462599716477, 0.0 }, | |
1277 | { 1.5864286332503075, -0.59999999999999998, 0.80000000000000004, | |
1278 | 1.0471975511965976, 0.0 }, | |
1279 | { 2.1958944866494527, -0.59999999999999998, 0.80000000000000004, | |
1280 | 1.2217304763960306, 0.0 }, | |
1281 | { 3.0398358172574604, -0.59999999999999998, 0.80000000000000004, | |
1282 | 1.3962634015954636, 0.0 }, | |
1283 | { 4.0867036409261832, -0.59999999999999998, 0.80000000000000004, | |
1284 | 1.5707963267948966, 0.0 }, | |
1285 | }; | |
1286 | const double toler039 = 2.5000000000000020e-13; | |
7c62b943 BK |
1287 | |
1288 | // Test data for k=-0.59999999999999998, nu=0.90000000000000002. | |
b4688136 ESR |
1289 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 8 |
1290 | // max(|f - f_Boost| / |f_Boost|): 5.7440178400898422e-16 | |
1291 | // mean(f - f_Boost): 5.0792703376600914e-16 | |
1292 | // variance(f - f_Boost): 1.9863137923719990e-31 | |
1293 | // stddev(f - f_Boost): 4.4568080420543122e-16 | |
1294 | const testcase_ellint_3<double> | |
1295 | data040[10] = | |
1296 | { | |
1297 | { 0.0000000000000000, -0.59999999999999998, 0.90000000000000002, | |
1298 | 0.0000000000000000, 0.0 }, | |
1299 | { 0.17646850384035848, -0.59999999999999998, 0.90000000000000002, | |
1300 | 0.17453292519943295, 0.0 }, | |
1301 | { 0.36509041515134105, -0.59999999999999998, 0.90000000000000002, | |
1302 | 0.34906585039886590, 0.0 }, | |
1303 | { 0.58097838596260631, -0.59999999999999998, 0.90000000000000002, | |
1304 | 0.52359877559829882, 0.0 }, | |
1305 | { 0.84656453396163722, -0.59999999999999998, 0.90000000000000002, | |
1306 | 0.69813170079773179, 0.0 }, | |
1307 | { 1.1997828426963724, -0.59999999999999998, 0.90000000000000002, | |
1308 | 0.87266462599716477, 0.0 }, | |
1309 | { 1.7112436789225605, -0.59999999999999998, 0.90000000000000002, | |
1310 | 1.0471975511965976, 0.0 }, | |
1311 | { 2.5193168553672312, -0.59999999999999998, 0.90000000000000002, | |
1312 | 1.2217304763960306, 0.0 }, | |
1313 | { 3.8656670488606686, -0.59999999999999998, 0.90000000000000002, | |
1314 | 1.3962634015954636, 0.0 }, | |
1315 | { 5.8709993116265595, -0.59999999999999998, 0.90000000000000002, | |
1316 | 1.5707963267948966, 0.0 }, | |
1317 | }; | |
1318 | const double toler040 = 2.5000000000000020e-13; | |
7c62b943 BK |
1319 | |
1320 | // Test data for k=-0.50000000000000000, nu=0.0000000000000000. | |
b4688136 ESR |
1321 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
1322 | // max(|f - f_Boost| / |f_Boost|): 3.4551389361831220e-16 | |
1323 | // mean(f - f_Boost): -1.3877787807814457e-17 | |
1324 | // variance(f - f_Boost): 2.5893058141206173e-32 | |
1325 | // stddev(f - f_Boost): 1.6091320064309879e-16 | |
1326 | const testcase_ellint_3<double> | |
1327 | data041[10] = | |
1328 | { | |
1329 | { 0.0000000000000000, -0.50000000000000000, 0.0000000000000000, | |
1330 | 0.0000000000000000, 0.0 }, | |
1331 | { 0.17475385514035785, -0.50000000000000000, 0.0000000000000000, | |
1332 | 0.17453292519943295, 0.0 }, | |
1333 | { 0.35081868470101579, -0.50000000000000000, 0.0000000000000000, | |
1334 | 0.34906585039886590, 0.0 }, | |
1335 | { 0.52942862705190574, -0.50000000000000000, 0.0000000000000000, | |
1336 | 0.52359877559829882, 0.0 }, | |
1337 | { 0.71164727562630326, -0.50000000000000000, 0.0000000000000000, | |
1338 | 0.69813170079773179, 0.0 }, | |
1339 | { 0.89824523594227768, -0.50000000000000000, 0.0000000000000000, | |
1340 | 0.87266462599716477, 0.0 }, | |
1341 | { 1.0895506700518853, -0.50000000000000000, 0.0000000000000000, | |
1342 | 1.0471975511965976, 0.0 }, | |
1343 | { 1.2853005857432933, -0.50000000000000000, 0.0000000000000000, | |
1344 | 1.2217304763960306, 0.0 }, | |
1345 | { 1.4845545520549488, -0.50000000000000000, 0.0000000000000000, | |
1346 | 1.3962634015954636, 0.0 }, | |
1347 | { 1.6857503548125961, -0.50000000000000000, 0.0000000000000000, | |
1348 | 1.5707963267948966, 0.0 }, | |
1349 | }; | |
1350 | const double toler041 = 2.5000000000000020e-13; | |
7c62b943 BK |
1351 | |
1352 | // Test data for k=-0.50000000000000000, nu=0.10000000000000001. | |
b4688136 ESR |
1353 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 9 |
1354 | // max(|f - f_Boost| / |f_Boost|): 3.7416868347177582e-16 | |
1355 | // mean(f - f_Boost): 2.7755575615628915e-18 | |
1356 | // variance(f - f_Boost): 5.4326441655972001e-32 | |
1357 | // stddev(f - f_Boost): 2.3308033305273100e-16 | |
1358 | const testcase_ellint_3<double> | |
1359 | data042[10] = | |
1360 | { | |
1361 | { 0.0000000000000000, -0.50000000000000000, 0.10000000000000001, | |
1362 | 0.0000000000000000, 0.0 }, | |
1363 | { 0.17493071928248824, -0.50000000000000000, 0.10000000000000001, | |
1364 | 0.17453292519943295, 0.0 }, | |
1365 | { 0.35222467688034798, -0.50000000000000000, 0.10000000000000001, | |
1366 | 0.34906585039886590, 0.0 }, | |
1367 | { 0.53411928652008112, -0.50000000000000000, 0.10000000000000001, | |
1368 | 0.52359877559829882, 0.0 }, | |
1369 | { 0.72256398117177589, -0.50000000000000000, 0.10000000000000001, | |
1370 | 0.69813170079773179, 0.0 }, | |
1371 | { 0.91899583232771009, -0.50000000000000000, 0.10000000000000001, | |
1372 | 0.87266462599716477, 0.0 }, | |
1373 | { 1.1240549163055360, -0.50000000000000000, 0.10000000000000001, | |
1374 | 1.0471975511965976, 0.0 }, | |
1375 | { 1.3372938086286021, -0.50000000000000000, 0.10000000000000001, | |
1376 | 1.2217304763960306, 0.0 }, | |
1377 | { 1.5570024469132429, -0.50000000000000000, 0.10000000000000001, | |
1378 | 1.3962634015954636, 0.0 }, | |
1379 | { 1.7803034946545480, -0.50000000000000000, 0.10000000000000001, | |
1380 | 1.5707963267948966, 0.0 }, | |
1381 | }; | |
1382 | const double toler042 = 2.5000000000000020e-13; | |
7c62b943 BK |
1383 | |
1384 | // Test data for k=-0.50000000000000000, nu=0.20000000000000001. | |
b4688136 ESR |
1385 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 9 |
1386 | // max(|f - f_Boost| / |f_Boost|): 4.1198767993730867e-16 | |
1387 | // mean(f - f_Boost): 2.7755575615628914e-17 | |
1388 | // variance(f - f_Boost): 5.0311947683004831e-32 | |
1389 | // stddev(f - f_Boost): 2.2430324938128922e-16 | |
1390 | const testcase_ellint_3<double> | |
1391 | data043[10] = | |
1392 | { | |
1393 | { 0.0000000000000000, -0.50000000000000000, 0.20000000000000001, | |
1394 | 0.0000000000000000, 0.0 }, | |
1395 | { 0.17510822779582402, -0.50000000000000000, 0.20000000000000001, | |
1396 | 0.17453292519943295, 0.0 }, | |
1397 | { 0.35365094725531487, -0.50000000000000000, 0.20000000000000001, | |
1398 | 0.34906585039886590, 0.0 }, | |
1399 | { 0.53895933237328697, -0.50000000000000000, 0.20000000000000001, | |
1400 | 0.52359877559829882, 0.0 }, | |
1401 | { 0.73408090840070794, -0.50000000000000000, 0.20000000000000001, | |
1402 | 0.69813170079773179, 0.0 }, | |
1403 | { 0.94145442818535396, -0.50000000000000000, 0.20000000000000001, | |
1404 | 0.87266462599716477, 0.0 }, | |
1405 | { 1.1624120186296487, -0.50000000000000000, 0.20000000000000001, | |
1406 | 1.0471975511965976, 0.0 }, | |
1407 | { 1.3965823372867114, -0.50000000000000000, 0.20000000000000001, | |
1408 | 1.2217304763960306, 0.0 }, | |
1409 | { 1.6414308440430099, -0.50000000000000000, 0.20000000000000001, | |
1410 | 1.3962634015954636, 0.0 }, | |
1411 | { 1.8922947612264018, -0.50000000000000000, 0.20000000000000001, | |
1412 | 1.5707963267948966, 0.0 }, | |
1413 | }; | |
1414 | const double toler043 = 2.5000000000000020e-13; | |
1415 | ||
1416 | // Test data for k=-0.50000000000000000, nu=0.30000000000000004. | |
1417 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
1418 | // max(|f - f_Boost| / |f_Boost|): 4.3800262770228813e-16 | |
1419 | // mean(f - f_Boost): 5.8286708792820721e-17 | |
1420 | // variance(f - f_Boost): 8.5027191584278157e-32 | |
1421 | // stddev(f - f_Boost): 2.9159422419567599e-16 | |
1422 | const testcase_ellint_3<double> | |
1423 | data044[10] = | |
1424 | { | |
1425 | { 0.0000000000000000, -0.50000000000000000, 0.30000000000000004, | |
1426 | 0.0000000000000000, 0.0 }, | |
1427 | { 0.17528638488102041, -0.50000000000000000, 0.30000000000000004, | |
1428 | 0.17453292519943295, 0.0 }, | |
1429 | { 0.35509802222332720, -0.50000000000000000, 0.30000000000000004, | |
1430 | 0.34906585039886590, 0.0 }, | |
1431 | { 0.54395740731866193, -0.50000000000000000, 0.30000000000000004, | |
1432 | 0.52359877559829882, 0.0 }, | |
1433 | { 0.74625871438752667, -0.50000000000000000, 0.30000000000000004, | |
1434 | 0.69813170079773179, 0.0 }, | |
1435 | { 0.96588271186092023, -0.50000000000000000, 0.30000000000000004, | |
1436 | 0.87266462599716477, 0.0 }, | |
1437 | { 1.2054319584357329, -0.50000000000000000, 0.30000000000000004, | |
1438 | 1.0471975511965976, 0.0 }, | |
1439 | { 1.4651077994832871, -0.50000000000000000, 0.30000000000000004, | |
1440 | 1.2217304763960306, 0.0 }, | |
1441 | { 1.7416018368052644, -0.50000000000000000, 0.30000000000000004, | |
1442 | 1.3962634015954636, 0.0 }, | |
1443 | { 2.0277924458111314, -0.50000000000000000, 0.30000000000000004, | |
1444 | 1.5707963267948966, 0.0 }, | |
1445 | }; | |
1446 | const double toler044 = 2.5000000000000020e-13; | |
7c62b943 BK |
1447 | |
1448 | // Test data for k=-0.50000000000000000, nu=0.40000000000000002. | |
b4688136 ESR |
1449 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 |
1450 | // max(|f - f_Boost| / |f_Boost|): 4.0439932918341581e-16 | |
1451 | // mean(f - f_Boost): 3.0531133177191807e-17 | |
1452 | // variance(f - f_Boost): 9.0809736800018602e-32 | |
1453 | // stddev(f - f_Boost): 3.0134653938616686e-16 | |
1454 | const testcase_ellint_3<double> | |
1455 | data045[10] = | |
1456 | { | |
1457 | { 0.0000000000000000, -0.50000000000000000, 0.40000000000000002, | |
1458 | 0.0000000000000000, 0.0 }, | |
1459 | { 0.17546519477859268, -0.50000000000000000, 0.40000000000000002, | |
1460 | 0.17453292519943295, 0.0 }, | |
1461 | { 0.35656644822531680, -0.50000000000000000, 0.40000000000000002, | |
1462 | 0.34906585039886590, 0.0 }, | |
1463 | { 0.54912289677411319, -0.50000000000000000, 0.40000000000000002, | |
1464 | 0.52359877559829882, 0.0 }, | |
1465 | { 0.75916731611690047, -0.50000000000000000, 0.40000000000000002, | |
1466 | 0.69813170079773179, 0.0 }, | |
1467 | { 0.99260415631328214, -0.50000000000000000, 0.40000000000000002, | |
1468 | 0.87266462599716477, 0.0 }, | |
1469 | { 1.2541925856918670, -0.50000000000000000, 0.40000000000000002, | |
1470 | 1.0471975511965976, 0.0 }, | |
1471 | { 1.5456393705347609, -0.50000000000000000, 0.40000000000000002, | |
1472 | 1.2217304763960306, 0.0 }, | |
1473 | { 1.8631904972952076, -0.50000000000000000, 0.40000000000000002, | |
1474 | 1.3962634015954636, 0.0 }, | |
1475 | { 2.1962905366178065, -0.50000000000000000, 0.40000000000000002, | |
1476 | 1.5707963267948966, 0.0 }, | |
1477 | }; | |
1478 | const double toler045 = 2.5000000000000020e-13; | |
7c62b943 BK |
1479 | |
1480 | // Test data for k=-0.50000000000000000, nu=0.50000000000000000. | |
b4688136 ESR |
1481 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 |
1482 | // max(|f - f_Boost| / |f_Boost|): 3.6797816859260978e-16 | |
1483 | // mean(f - f_Boost): 9.4368957093138303e-17 | |
1484 | // variance(f - f_Boost): 7.7794254682023874e-32 | |
1485 | // stddev(f - f_Boost): 2.7891621444803792e-16 | |
1486 | const testcase_ellint_3<double> | |
1487 | data046[10] = | |
1488 | { | |
1489 | { 0.0000000000000000, -0.50000000000000000, 0.50000000000000000, | |
1490 | 0.0000000000000000, 0.0 }, | |
1491 | { 0.17564466176941509, -0.50000000000000000, 0.50000000000000000, | |
1492 | 0.17453292519943295, 0.0 }, | |
1493 | { 0.35805679276065394, -0.50000000000000000, 0.50000000000000000, | |
1494 | 0.34906585039886590, 0.0 }, | |
1495 | { 0.55446601496200032, -0.50000000000000000, 0.50000000000000000, | |
1496 | 0.52359877559829882, 0.0 }, | |
1497 | { 0.77288783578259013, -0.50000000000000000, 0.50000000000000000, | |
1498 | 0.69813170079773179, 0.0 }, | |
1499 | { 1.0220246013918972, -0.50000000000000000, 0.50000000000000000, | |
1500 | 0.87266462599716477, 0.0 }, | |
1501 | { 1.3101681612463965, -0.50000000000000000, 0.50000000000000000, | |
1502 | 1.0471975511965976, 0.0 }, | |
1503 | { 1.6422994881851025, -0.50000000000000000, 0.50000000000000000, | |
1504 | 1.2217304763960306, 0.0 }, | |
1505 | { 2.0152636030998816, -0.50000000000000000, 0.50000000000000000, | |
1506 | 1.3962634015954636, 0.0 }, | |
1507 | { 2.4136715042011945, -0.50000000000000000, 0.50000000000000000, | |
1508 | 1.5707963267948966, 0.0 }, | |
1509 | }; | |
1510 | const double toler046 = 2.5000000000000020e-13; | |
1511 | ||
1512 | // Test data for k=-0.50000000000000000, nu=0.60000000000000009. | |
1513 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 | |
1514 | // max(|f - f_Boost| / |f_Boost|): 4.9178421578645735e-16 | |
1515 | // mean(f - f_Boost): 1.3322676295501878e-16 | |
1516 | // variance(f - f_Boost): 1.7749370367472766e-31 | |
1517 | // stddev(f - f_Boost): 4.2130001622920411e-16 | |
1518 | const testcase_ellint_3<double> | |
1519 | data047[10] = | |
1520 | { | |
1521 | { 0.0000000000000000, -0.50000000000000000, 0.60000000000000009, | |
1522 | 0.0000000000000000, 0.0 }, | |
1523 | { 0.17582479017522740, -0.50000000000000000, 0.60000000000000009, | |
1524 | 0.17453292519943295, 0.0 }, | |
1525 | { 0.35956964546660036, -0.50000000000000000, 0.60000000000000009, | |
1526 | 0.34906585039886590, 0.0 }, | |
1527 | { 0.55999790372984193, -0.50000000000000000, 0.60000000000000009, | |
1528 | 0.52359877559829882, 0.0 }, | |
1529 | { 0.78751507911209895, -0.50000000000000000, 0.60000000000000009, | |
1530 | 0.69813170079773179, 0.0 }, | |
1531 | { 1.0546620505035220, -0.50000000000000000, 0.60000000000000009, | |
1532 | 0.87266462599716477, 0.0 }, | |
1533 | { 1.3754438357425935, -0.50000000000000000, 0.60000000000000009, | |
1534 | 1.0471975511965976, 0.0 }, | |
1535 | { 1.7615727400820127, -0.50000000000000000, 0.60000000000000009, | |
1536 | 1.2217304763960306, 0.0 }, | |
1537 | { 2.2134638067565242, -0.50000000000000000, 0.60000000000000009, | |
1538 | 1.3962634015954636, 0.0 }, | |
1539 | { 2.7090491861753558, -0.50000000000000000, 0.60000000000000009, | |
1540 | 1.5707963267948966, 0.0 }, | |
1541 | }; | |
1542 | const double toler047 = 2.5000000000000020e-13; | |
1543 | ||
1544 | // Test data for k=-0.50000000000000000, nu=0.70000000000000007. | |
1545 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 | |
1546 | // max(|f - f_Boost| / |f_Boost|): 3.0745105182189226e-16 | |
1547 | // mean(f - f_Boost): 4.1633363423443370e-17 | |
1548 | // variance(f - f_Boost): 1.9996383743576116e-32 | |
1549 | // stddev(f - f_Boost): 1.4140857026211713e-16 | |
1550 | const testcase_ellint_3<double> | |
1551 | data048[10] = | |
1552 | { | |
1553 | { 0.0000000000000000, -0.50000000000000000, 0.70000000000000007, | |
1554 | 0.0000000000000000, 0.0 }, | |
1555 | { 0.17600558435914915, -0.50000000000000000, 0.70000000000000007, | |
1556 | 0.17453292519943295, 0.0 }, | |
1557 | { 0.36110561926726259, -0.50000000000000000, 0.70000000000000007, | |
1558 | 0.34906585039886590, 0.0 }, | |
1559 | { 0.56573074641137111, -0.50000000000000000, 0.70000000000000007, | |
1560 | 0.52359877559829882, 0.0 }, | |
1561 | { 0.80316073084237205, -0.50000000000000000, 0.70000000000000007, | |
1562 | 0.69813170079773179, 0.0 }, | |
1563 | { 1.0911910688131461, -0.50000000000000000, 0.70000000000000007, | |
1564 | 0.87266462599716477, 0.0 }, | |
1565 | { 1.4530946406380640, -0.50000000000000000, 0.70000000000000007, | |
1566 | 1.0471975511965976, 0.0 }, | |
1567 | { 1.9144386536785372, -0.50000000000000000, 0.70000000000000007, | |
1568 | 1.2217304763960306, 0.0 }, | |
1569 | { 2.4878788958234970, -0.50000000000000000, 0.70000000000000007, | |
1570 | 1.3962634015954636, 0.0 }, | |
1571 | { 3.1433945297859225, -0.50000000000000000, 0.70000000000000007, | |
1572 | 1.5707963267948966, 0.0 }, | |
1573 | }; | |
1574 | const double toler048 = 2.5000000000000020e-13; | |
7c62b943 BK |
1575 | |
1576 | // Test data for k=-0.50000000000000000, nu=0.80000000000000004. | |
b4688136 ESR |
1577 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 |
1578 | // max(|f - f_Boost| / |f_Boost|): 3.4380477375534667e-16 | |
1579 | // mean(f - f_Boost): 2.3037127760972000e-16 | |
1580 | // variance(f - f_Boost): 1.4989821857033475e-31 | |
1581 | // stddev(f - f_Boost): 3.8716691306248618e-16 | |
1582 | const testcase_ellint_3<double> | |
1583 | data049[10] = | |
1584 | { | |
1585 | { 0.0000000000000000, -0.50000000000000000, 0.80000000000000004, | |
1586 | 0.0000000000000000, 0.0 }, | |
1587 | { 0.17618704872620228, -0.50000000000000000, 0.80000000000000004, | |
1588 | 0.17453292519943295, 0.0 }, | |
1589 | { 0.36266535159745827, -0.50000000000000000, 0.80000000000000004, | |
1590 | 0.34906585039886590, 0.0 }, | |
1591 | { 0.57167789954529158, -0.50000000000000000, 0.80000000000000004, | |
1592 | 0.52359877559829882, 0.0 }, | |
1593 | { 0.81995752984315018, -0.50000000000000000, 0.80000000000000004, | |
1594 | 0.69813170079773179, 0.0 }, | |
1595 | { 1.1325112162158122, -0.50000000000000000, 0.80000000000000004, | |
1596 | 0.87266462599716477, 0.0 }, | |
1597 | { 1.5479055930718042, -0.50000000000000000, 0.80000000000000004, | |
1598 | 1.0471975511965976, 0.0 }, | |
1599 | { 2.1215243941010486, -0.50000000000000000, 0.80000000000000004, | |
1600 | 1.2217304763960306, 0.0 }, | |
1601 | { 2.9069405767650132, -0.50000000000000000, 0.80000000000000004, | |
1602 | 1.3962634015954636, 0.0 }, | |
1603 | { 3.8750701888108066, -0.50000000000000000, 0.80000000000000004, | |
1604 | 1.5707963267948966, 0.0 }, | |
1605 | }; | |
1606 | const double toler049 = 2.5000000000000020e-13; | |
7c62b943 BK |
1607 | |
1608 | // Test data for k=-0.50000000000000000, nu=0.90000000000000002. | |
b4688136 ESR |
1609 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 |
1610 | // max(|f - f_Boost| / |f_Boost|): 3.6192315188521289e-16 | |
1611 | // mean(f - f_Boost): 3.5249581031848718e-16 | |
1612 | // variance(f - f_Boost): 2.5029385557256515e-31 | |
1613 | // stddev(f - f_Boost): 5.0029376927217987e-16 | |
1614 | const testcase_ellint_3<double> | |
1615 | data050[10] = | |
1616 | { | |
1617 | { 0.0000000000000000, -0.50000000000000000, 0.90000000000000002, | |
1618 | 0.0000000000000000, 0.0 }, | |
1619 | { 0.17636918772384180, -0.50000000000000000, 0.90000000000000002, | |
1620 | 0.17453292519943295, 0.0 }, | |
1621 | { 0.36424950570740700, -0.50000000000000000, 0.90000000000000002, | |
1622 | 0.34906585039886590, 0.0 }, | |
1623 | { 0.57785404590231426, -0.50000000000000000, 0.90000000000000002, | |
1624 | 0.52359877559829882, 0.0 }, | |
1625 | { 0.83806480521716531, -0.50000000000000000, 0.90000000000000002, | |
1626 | 0.69813170079773179, 0.0 }, | |
1627 | { 1.1798568683069752, -0.50000000000000000, 0.90000000000000002, | |
1628 | 0.87266462599716477, 0.0 }, | |
1629 | { 1.6678766243739607, -0.50000000000000000, 0.90000000000000002, | |
1630 | 1.0471975511965976, 0.0 }, | |
1631 | { 2.4282976450693483, -0.50000000000000000, 0.90000000000000002, | |
1632 | 1.2217304763960306, 0.0 }, | |
1633 | { 3.6810787666126656, -0.50000000000000000, 0.90000000000000002, | |
1634 | 1.3962634015954636, 0.0 }, | |
1635 | { 5.5355132096026454, -0.50000000000000000, 0.90000000000000002, | |
1636 | 1.5707963267948966, 0.0 }, | |
1637 | }; | |
1638 | const double toler050 = 2.5000000000000020e-13; | |
1639 | ||
1640 | // Test data for k=-0.39999999999999991, nu=0.0000000000000000. | |
1641 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 9 | |
1642 | // max(|f - f_Boost| / |f_Boost|): 3.1423314994346225e-16 | |
1643 | // mean(f - f_Boost): 1.9428902930940238e-17 | |
1644 | // variance(f - f_Boost): 2.2263750157116445e-32 | |
1645 | // stddev(f - f_Boost): 1.4921042241450980e-16 | |
1646 | const testcase_ellint_3<double> | |
1647 | data051[10] = | |
1648 | { | |
1649 | { 0.0000000000000000, -0.39999999999999991, 0.0000000000000000, | |
1650 | 0.0000000000000000, 0.0 }, | |
1651 | { 0.17467414669441528, -0.39999999999999991, 0.0000000000000000, | |
1652 | 0.17453292519943295, 0.0 }, | |
1653 | { 0.35018222772483443, -0.39999999999999991, 0.0000000000000000, | |
1654 | 0.34906585039886590, 0.0 }, | |
1655 | { 0.52729015917508748, -0.39999999999999991, 0.0000000000000000, | |
1656 | 0.52359877559829882, 0.0 }, | |
1657 | { 0.70662374407341244, -0.39999999999999991, 0.0000000000000000, | |
1658 | 0.69813170079773179, 0.0 }, | |
1659 | { 0.88859210497602159, -0.39999999999999991, 0.0000000000000000, | |
1660 | 0.87266462599716477, 0.0 }, | |
1661 | { 1.0733136290471381, -0.39999999999999991, 0.0000000000000000, | |
1662 | 1.0471975511965976, 0.0 }, | |
1663 | { 1.2605612170157066, -0.39999999999999991, 0.0000000000000000, | |
1664 | 1.2217304763960306, 0.0 }, | |
1665 | { 1.4497513956433439, -0.39999999999999991, 0.0000000000000000, | |
1666 | 1.3962634015954636, 0.0 }, | |
1667 | { 1.6399998658645112, -0.39999999999999991, 0.0000000000000000, | |
1668 | 1.5707963267948966, 0.0 }, | |
1669 | }; | |
1670 | const double toler051 = 2.5000000000000020e-13; | |
1671 | ||
1672 | // Test data for k=-0.39999999999999991, nu=0.10000000000000001. | |
1673 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 9 | |
1674 | // max(|f - f_Boost| / |f_Boost|): 3.8489340395463703e-16 | |
1675 | // mean(f - f_Boost): 6.3837823915946496e-17 | |
1676 | // variance(f - f_Boost): 4.4785242050000272e-32 | |
1677 | // stddev(f - f_Boost): 2.1162523963365114e-16 | |
1678 | const testcase_ellint_3<double> | |
1679 | data052[10] = | |
1680 | { | |
1681 | { 0.0000000000000000, -0.39999999999999991, 0.10000000000000001, | |
1682 | 0.0000000000000000, 0.0 }, | |
1683 | { 0.17485086590796767, -0.39999999999999991, 0.10000000000000001, | |
1684 | 0.17453292519943295, 0.0 }, | |
1685 | { 0.35158366412506992, -0.39999999999999991, 0.10000000000000001, | |
1686 | 0.34906585039886590, 0.0 }, | |
1687 | { 0.53194731675711726, -0.39999999999999991, 0.10000000000000001, | |
1688 | 0.52359877559829882, 0.0 }, | |
1689 | { 0.71740615528010931, -0.39999999999999991, 0.10000000000000001, | |
1690 | 0.69813170079773179, 0.0 }, | |
1691 | { 0.90896157773487030, -0.39999999999999991, 0.10000000000000001, | |
1692 | 0.87266462599716477, 0.0 }, | |
1693 | { 1.1069605483834348, -0.39999999999999991, 0.10000000000000001, | |
1694 | 1.0471975511965976, 0.0 }, | |
1695 | { 1.3109353428823001, -0.39999999999999991, 0.10000000000000001, | |
1696 | 1.2217304763960306, 0.0 }, | |
1697 | { 1.5195460789903448, -0.39999999999999991, 0.10000000000000001, | |
1698 | 1.3962634015954636, 0.0 }, | |
1699 | { 1.7306968836847187, -0.39999999999999991, 0.10000000000000001, | |
1700 | 1.5707963267948966, 0.0 }, | |
1701 | }; | |
1702 | const double toler052 = 2.5000000000000020e-13; | |
1703 | ||
1704 | // Test data for k=-0.39999999999999991, nu=0.20000000000000001. | |
1705 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 9 | |
1706 | // max(|f - f_Boost| / |f_Boost|): 3.0467985583872730e-16 | |
1707 | // mean(f - f_Boost): 8.6042284408449634e-17 | |
1708 | // variance(f - f_Boost): 1.5826864298542218e-32 | |
1709 | // stddev(f - f_Boost): 1.2580486595733180e-16 | |
1710 | const testcase_ellint_3<double> | |
1711 | data053[10] = | |
1712 | { | |
1713 | { 0.0000000000000000, -0.39999999999999991, 0.20000000000000001, | |
1714 | 0.0000000000000000, 0.0 }, | |
1715 | { 0.17502822886437389, -0.39999999999999991, 0.20000000000000001, | |
1716 | 0.17453292519943295, 0.0 }, | |
1717 | { 0.35300530062530805, -0.39999999999999991, 0.20000000000000001, | |
1718 | 0.34906585039886590, 0.0 }, | |
1719 | { 0.53675259548210896, -0.39999999999999991, 0.20000000000000001, | |
1720 | 0.52359877559829882, 0.0 }, | |
1721 | { 0.72878006428676934, -0.39999999999999991, 0.20000000000000001, | |
1722 | 0.69813170079773179, 0.0 }, | |
1723 | { 0.93100219010583563, -0.39999999999999991, 0.20000000000000001, | |
1724 | 0.87266462599716477, 0.0 }, | |
1725 | { 1.1443487271187609, -0.39999999999999991, 0.20000000000000001, | |
1726 | 1.0471975511965976, 0.0 }, | |
1727 | { 1.3683427764108813, -0.39999999999999991, 0.20000000000000001, | |
1728 | 1.2217304763960306, 0.0 }, | |
1729 | { 1.6008221459300933, -0.39999999999999991, 0.20000000000000001, | |
1730 | 1.3962634015954636, 0.0 }, | |
1731 | { 1.8380358826317627, -0.39999999999999991, 0.20000000000000001, | |
1732 | 1.5707963267948966, 0.0 }, | |
1733 | }; | |
1734 | const double toler053 = 2.5000000000000020e-13; | |
1735 | ||
1736 | // Test data for k=-0.39999999999999991, nu=0.30000000000000004. | |
1737 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 9 | |
1738 | // max(|f - f_Boost| / |f_Boost|): 2.9973414591826100e-16 | |
1739 | // mean(f - f_Boost): 8.6042284408449634e-17 | |
1740 | // variance(f - f_Boost): 1.5826864298542218e-32 | |
1741 | // stddev(f - f_Boost): 1.2580486595733180e-16 | |
1742 | const testcase_ellint_3<double> | |
1743 | data054[10] = | |
1744 | { | |
1745 | { 0.0000000000000000, -0.39999999999999991, 0.30000000000000004, | |
1746 | 0.0000000000000000, 0.0 }, | |
1747 | { 0.17520623975982899, -0.39999999999999991, 0.30000000000000004, | |
1748 | 0.17453292519943295, 0.0 }, | |
1749 | { 0.35444766141612105, -0.39999999999999991, 0.30000000000000004, | |
1750 | 0.34906585039886590, 0.0 }, | |
1751 | { 0.54171455841536009, -0.39999999999999991, 0.30000000000000004, | |
1752 | 0.52359877559829882, 0.0 }, | |
1753 | { 0.74080517001084012, -0.39999999999999991, 0.30000000000000004, | |
1754 | 0.69813170079773179, 0.0 }, | |
1755 | { 0.95496950509296563, -0.39999999999999991, 0.30000000000000004, | |
1756 | 0.87266462599716477, 0.0 }, | |
1757 | { 1.1862627879844718, -0.39999999999999991, 0.30000000000000004, | |
1758 | 1.0471975511965976, 0.0 }, | |
1759 | { 1.4346501803799458, -0.39999999999999991, 0.30000000000000004, | |
1760 | 1.2217304763960306, 0.0 }, | |
1761 | { 1.6971744798077697, -0.39999999999999991, 0.30000000000000004, | |
1762 | 1.3962634015954636, 0.0 }, | |
1763 | { 1.9677924132520139, -0.39999999999999991, 0.30000000000000004, | |
1764 | 1.5707963267948966, 0.0 }, | |
1765 | }; | |
1766 | const double toler054 = 2.5000000000000020e-13; | |
1767 | ||
1768 | // Test data for k=-0.39999999999999991, nu=0.40000000000000002. | |
1769 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 | |
1770 | // max(|f - f_Boost| / |f_Boost|): 6.2577246923979600e-16 | |
1771 | // mean(f - f_Boost): 1.8596235662471373e-16 | |
1772 | // variance(f - f_Boost): 1.6222417021441306e-31 | |
1773 | // stddev(f - f_Boost): 4.0277061736727151e-16 | |
1774 | const testcase_ellint_3<double> | |
1775 | data055[10] = | |
1776 | { | |
1777 | { 0.0000000000000000, -0.39999999999999991, 0.40000000000000002, | |
1778 | 0.0000000000000000, 0.0 }, | |
1779 | { 0.17538490283034375, -0.39999999999999991, 0.40000000000000002, | |
1780 | 0.17453292519943295, 0.0 }, | |
1781 | { 0.35591129064319948, -0.39999999999999991, 0.40000000000000002, | |
1782 | 0.34906585039886590, 0.0 }, | |
1783 | { 0.54684250413264535, -0.39999999999999991, 0.40000000000000002, | |
1784 | 0.52359877559829882, 0.0 }, | |
1785 | { 0.75355027742668290, -0.39999999999999991, 0.40000000000000002, | |
1786 | 0.69813170079773179, 0.0 }, | |
1787 | { 0.98117935026780634, -0.39999999999999991, 0.40000000000000002, | |
1788 | 0.87266462599716477, 0.0 }, | |
1789 | { 1.2337464222030734, -0.39999999999999991, 0.40000000000000002, | |
1790 | 1.0471975511965976, 0.0 }, | |
1791 | { 1.5125183419289221, -0.39999999999999991, 0.40000000000000002, | |
1792 | 1.2217304763960306, 0.0 }, | |
1793 | { 1.8140224451130311, -0.39999999999999991, 0.40000000000000002, | |
1794 | 1.3962634015954636, 0.0 }, | |
1795 | { 2.1289968719280026, -0.39999999999999991, 0.40000000000000002, | |
1796 | 1.5707963267948966, 0.0 }, | |
1797 | }; | |
1798 | const double toler055 = 2.5000000000000020e-13; | |
1799 | ||
1800 | // Test data for k=-0.39999999999999991, nu=0.50000000000000000. | |
1801 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
1802 | // max(|f - f_Boost| / |f_Boost|): 3.8009196014748294e-16 | |
1803 | // mean(f - f_Boost): 1.6375789613221060e-16 | |
1804 | // variance(f - f_Boost): 6.4788283329186610e-32 | |
1805 | // stddev(f - f_Boost): 2.5453542647181080e-16 | |
1806 | const testcase_ellint_3<double> | |
1807 | data056[10] = | |
1808 | { | |
1809 | { 0.0000000000000000, -0.39999999999999991, 0.50000000000000000, | |
1810 | 0.0000000000000000, 0.0 }, | |
1811 | { 0.17556422235224273, -0.39999999999999991, 0.50000000000000000, | |
1812 | 0.17453292519943295, 0.0 }, | |
1813 | { 0.35739675341763921, -0.39999999999999991, 0.50000000000000000, | |
1814 | 0.34906585039886590, 0.0 }, | |
1815 | { 0.55214655195037188, -0.39999999999999991, 0.50000000000000000, | |
1816 | 0.52359877559829882, 0.0 }, | |
1817 | { 0.76709520942047438, -0.39999999999999991, 0.50000000000000000, | |
1818 | 0.69813170079773179, 0.0 }, | |
1819 | { 1.0100278761577499, -0.39999999999999991, 0.50000000000000000, | |
1820 | 0.87266462599716477, 0.0 }, | |
1821 | { 1.2882265661384342, -0.39999999999999991, 0.50000000000000000, | |
1822 | 1.0471975511965976, 0.0 }, | |
1823 | { 1.6059059780051874, -0.39999999999999991, 0.50000000000000000, | |
1824 | 1.2217304763960306, 0.0 }, | |
1825 | { 1.9600182740224081, -0.39999999999999991, 0.50000000000000000, | |
1826 | 1.3962634015954636, 0.0 }, | |
1827 | { 2.3367461373176508, -0.39999999999999991, 0.50000000000000000, | |
1828 | 1.5707963267948966, 0.0 }, | |
1829 | }; | |
1830 | const double toler056 = 2.5000000000000020e-13; | |
1831 | ||
1832 | // Test data for k=-0.39999999999999991, nu=0.60000000000000009. | |
1833 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 8 | |
1834 | // max(|f - f_Boost| / |f_Boost|): 2.8411408870840790e-16 | |
1835 | // mean(f - f_Boost): 9.7144514654701197e-17 | |
1836 | // variance(f - f_Boost): 1.4860570558543486e-32 | |
1837 | // stddev(f - f_Boost): 1.2190393988113545e-16 | |
1838 | const testcase_ellint_3<double> | |
1839 | data057[10] = | |
1840 | { | |
1841 | { 0.0000000000000000, -0.39999999999999991, 0.60000000000000009, | |
1842 | 0.0000000000000000, 0.0 }, | |
1843 | { 0.17574420264267029, -0.39999999999999991, 0.60000000000000009, | |
1844 | 0.17453292519943295, 0.0 }, | |
1845 | { 0.35890463689046265, -0.39999999999999991, 0.60000000000000009, | |
1846 | 0.34906585039886590, 0.0 }, | |
1847 | { 0.55763773975194486, -0.39999999999999991, 0.60000000000000009, | |
1848 | 0.52359877559829882, 0.0 }, | |
1849 | { 0.78153324227761267, -0.39999999999999991, 0.60000000000000009, | |
1850 | 0.69813170079773179, 0.0 }, | |
1851 | { 1.0420205885765887, -0.39999999999999991, 0.60000000000000009, | |
1852 | 0.87266462599716477, 0.0 }, | |
1853 | { 1.3517205230381770, -0.39999999999999991, 0.60000000000000009, | |
1854 | 1.0471975511965976, 0.0 }, | |
1855 | { 1.7210360970313896, -0.39999999999999991, 0.60000000000000009, | |
1856 | 1.2217304763960306, 0.0 }, | |
1857 | { 2.1500780510169242, -0.39999999999999991, 0.60000000000000009, | |
1858 | 1.3962634015954636, 0.0 }, | |
1859 | { 2.6186940209850191, -0.39999999999999991, 0.60000000000000009, | |
1860 | 1.5707963267948966, 0.0 }, | |
1861 | }; | |
1862 | const double toler057 = 2.5000000000000020e-13; | |
1863 | ||
1864 | // Test data for k=-0.39999999999999991, nu=0.70000000000000007. | |
1865 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 | |
1866 | // max(|f - f_Boost| / |f_Boost|): 3.1553900340611668e-16 | |
1867 | // mean(f - f_Boost): 1.1657341758564144e-16 | |
1868 | // variance(f - f_Boost): 1.3242789405258207e-32 | |
1869 | // stddev(f - f_Boost): 1.1507731924779187e-16 | |
1870 | const testcase_ellint_3<double> | |
1871 | data058[10] = | |
1872 | { | |
1873 | { 0.0000000000000000, -0.39999999999999991, 0.70000000000000007, | |
1874 | 0.0000000000000000, 0.0 }, | |
1875 | { 0.17592484806010436, -0.39999999999999991, 0.70000000000000007, | |
1876 | 0.17453292519943295, 0.0 }, | |
1877 | { 0.36043555139631439, -0.39999999999999991, 0.70000000000000007, | |
1878 | 0.34906585039886590, 0.0 }, | |
1879 | { 0.56332813669944881, -0.39999999999999991, 0.70000000000000007, | |
1880 | 0.52359877559829882, 0.0 }, | |
1881 | { 0.79697424562157548, -0.39999999999999991, 0.70000000000000007, | |
1882 | 0.69813170079773179, 0.0 }, | |
1883 | { 1.0778155987523672, -0.39999999999999991, 0.70000000000000007, | |
1884 | 0.87266462599716477, 0.0 }, | |
1885 | { 1.4272018169896268, -0.39999999999999991, 0.70000000000000007, | |
1886 | 1.0471975511965976, 0.0 }, | |
1887 | { 1.8684377907453380, -0.39999999999999991, 0.70000000000000007, | |
1888 | 1.2217304763960306, 0.0 }, | |
1889 | { 2.4128677409207469, -0.39999999999999991, 0.70000000000000007, | |
1890 | 1.3962634015954636, 0.0 }, | |
1891 | { 3.0327078743873241, -0.39999999999999991, 0.70000000000000007, | |
1892 | 1.5707963267948966, 0.0 }, | |
1893 | }; | |
1894 | const double toler058 = 2.5000000000000020e-13; | |
1895 | ||
1896 | // Test data for k=-0.39999999999999991, nu=0.80000000000000004. | |
1897 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 | |
1898 | // max(|f - f_Boost| / |f_Boost|): 3.5727642219519274e-16 | |
1899 | // mean(f - f_Boost): 2.1926904736346843e-16 | |
1900 | // variance(f - f_Boost): 1.5293405480859847e-31 | |
1901 | // stddev(f - f_Boost): 3.9106783913868252e-16 | |
1902 | const testcase_ellint_3<double> | |
1903 | data059[10] = | |
1904 | { | |
1905 | { 0.0000000000000000, -0.39999999999999991, 0.80000000000000004, | |
1906 | 0.0000000000000000, 0.0 }, | |
1907 | { 0.17610616300487833, -0.39999999999999991, 0.80000000000000004, | |
1908 | 0.17453292519943295, 0.0 }, | |
1909 | { 0.36199013167171978, -0.39999999999999991, 0.80000000000000004, | |
1910 | 0.34906585039886590, 0.0 }, | |
1911 | { 0.56923097361842423, -0.39999999999999991, 0.80000000000000004, | |
1912 | 0.52359877559829882, 0.0 }, | |
1913 | { 0.81354878456624347, -0.39999999999999991, 0.80000000000000004, | |
1914 | 0.69813170079773179, 0.0 }, | |
1915 | { 1.1182902719261825, -0.39999999999999991, 0.80000000000000004, | |
1916 | 0.87266462599716477, 0.0 }, | |
1917 | { 1.5192950589409022, -0.39999999999999991, 0.80000000000000004, | |
1918 | 1.0471975511965976, 0.0 }, | |
1919 | { 2.0678761710223981, -0.39999999999999991, 0.80000000000000004, | |
1920 | 1.2217304763960306, 0.0 }, | |
1921 | { 2.8135222249879783, -0.39999999999999991, 0.80000000000000004, | |
1922 | 1.3962634015954636, 0.0 }, | |
1923 | { 3.7289548002199902, -0.39999999999999991, 0.80000000000000004, | |
1924 | 1.5707963267948966, 0.0 }, | |
1925 | }; | |
1926 | const double toler059 = 2.5000000000000020e-13; | |
1927 | ||
1928 | // Test data for k=-0.39999999999999991, nu=0.90000000000000002. | |
1929 | // max(|f - f_Boost|): 2.6645352591003757e-15 at index 9 | |
1930 | // max(|f - f_Boost| / |f_Boost|): 5.0221626338023938e-16 | |
1931 | // mean(f - f_Boost): 4.1910919179599658e-16 | |
1932 | // variance(f - f_Boost): 6.2246150910247033e-31 | |
1933 | // stddev(f - f_Boost): 7.8896229891070860e-16 | |
1934 | const testcase_ellint_3<double> | |
1935 | data060[10] = | |
1936 | { | |
1937 | { 0.0000000000000000, -0.39999999999999991, 0.90000000000000002, | |
1938 | 0.0000000000000000, 0.0 }, | |
1939 | { 0.17628815191971123, -0.39999999999999991, 0.90000000000000002, | |
1940 | 0.17453292519943295, 0.0 }, | |
1941 | { 0.36356903815378772, -0.39999999999999991, 0.90000000000000002, | |
1942 | 0.34906585039886590, 0.0 }, | |
1943 | { 0.57536079447000310, -0.39999999999999991, 0.90000000000000002, | |
1944 | 0.52359877559829882, 0.0 }, | |
1945 | { 0.83141355850172571, -0.39999999999999991, 0.90000000000000002, | |
1946 | 0.69813170079773179, 0.0 }, | |
1947 | { 1.1646481598721361, -0.39999999999999991, 0.90000000000000002, | |
1948 | 0.87266462599716477, 0.0 }, | |
1949 | { 1.6357275034001995, -0.39999999999999991, 0.90000000000000002, | |
1950 | 1.0471975511965976, 0.0 }, | |
1951 | { 2.3628787566572398, -0.39999999999999991, 0.90000000000000002, | |
1952 | 1.2217304763960306, 0.0 }, | |
1953 | { 3.5521010369134958, -0.39999999999999991, 0.90000000000000002, | |
1954 | 1.3962634015954636, 0.0 }, | |
1955 | { 5.3055535102872513, -0.39999999999999991, 0.90000000000000002, | |
1956 | 1.5707963267948966, 0.0 }, | |
1957 | }; | |
1958 | const double toler060 = 2.5000000000000020e-13; | |
1959 | ||
1960 | // Test data for k=-0.29999999999999993, nu=0.0000000000000000. | |
1961 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 9 | |
1962 | // max(|f - f_Boost| / |f_Boost|): 4.2241249691539529e-16 | |
1963 | // mean(f - f_Boost): 4.9960036108132046e-17 | |
1964 | // variance(f - f_Boost): 4.6872855002064458e-32 | |
1965 | // stddev(f - f_Boost): 2.1650139722889657e-16 | |
1966 | const testcase_ellint_3<double> | |
1967 | data061[10] = | |
1968 | { | |
1969 | { 0.0000000000000000, -0.29999999999999993, 0.0000000000000000, | |
1970 | 0.0000000000000000, 0.0 }, | |
1971 | { 0.17461228653000099, -0.29999999999999993, 0.0000000000000000, | |
1972 | 0.17453292519943295, 0.0 }, | |
1973 | { 0.34969146102798421, -0.29999999999999993, 0.0000000000000000, | |
1974 | 0.34906585039886590, 0.0 }, | |
1975 | { 0.52565822873726309, -0.29999999999999993, 0.0000000000000000, | |
1976 | 0.52359877559829882, 0.0 }, | |
1977 | { 0.70284226512408543, -0.29999999999999993, 0.0000000000000000, | |
1978 | 0.69813170079773179, 0.0 }, | |
1979 | { 0.88144139195111171, -0.29999999999999993, 0.0000000000000000, | |
1980 | 0.87266462599716477, 0.0 }, | |
1981 | { 1.0614897067260520, -0.29999999999999993, 0.0000000000000000, | |
1982 | 1.0471975511965976, 0.0 }, | |
1983 | { 1.2428416824174220, -0.29999999999999993, 0.0000000000000000, | |
1984 | 1.2217304763960306, 0.0 }, | |
1985 | { 1.4251795877015929, -0.29999999999999993, 0.0000000000000000, | |
1986 | 1.3962634015954636, 0.0 }, | |
1987 | { 1.6080486199305126, -0.29999999999999993, 0.0000000000000000, | |
1988 | 1.5707963267948966, 0.0 }, | |
1989 | }; | |
1990 | const double toler061 = 2.5000000000000020e-13; | |
1991 | ||
1992 | // Test data for k=-0.29999999999999993, nu=0.10000000000000001. | |
1993 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 9 | |
1994 | // max(|f - f_Boost| / |f_Boost|): 4.1872304407982844e-16 | |
1995 | // mean(f - f_Boost): 9.4368957093138303e-17 | |
1996 | // variance(f - f_Boost): 4.0359883022230488e-32 | |
1997 | // stddev(f - f_Boost): 2.0089769292411121e-16 | |
1998 | const testcase_ellint_3<double> | |
1999 | data062[10] = | |
2000 | { | |
2001 | { 0.0000000000000000, -0.29999999999999993, 0.10000000000000001, | |
2002 | 0.0000000000000000, 0.0 }, | |
2003 | { 0.17478889331392972, -0.29999999999999993, 0.10000000000000001, | |
2004 | 0.17453292519943295, 0.0 }, | |
2005 | { 0.35108939018329183, -0.29999999999999993, 0.10000000000000001, | |
2006 | 0.34906585039886590, 0.0 }, | |
2007 | { 0.53028990896115835, -0.29999999999999993, 0.10000000000000001, | |
2008 | 0.52359877559829882, 0.0 }, | |
2009 | { 0.71352417052371409, -0.29999999999999993, 0.10000000000000001, | |
2010 | 0.69813170079773179, 0.0 }, | |
2011 | { 0.90153086032405894, -0.29999999999999993, 0.10000000000000001, | |
2012 | 0.87266462599716477, 0.0 }, | |
2013 | { 1.0945187977283313, -0.29999999999999993, 0.10000000000000001, | |
2014 | 1.0471975511965976, 0.0 }, | |
2015 | { 1.2920699268385680, -0.29999999999999993, 0.10000000000000001, | |
2016 | 1.2217304763960306, 0.0 }, | |
2017 | { 1.4931243665896394, -0.29999999999999993, 0.10000000000000001, | |
2018 | 1.3962634015954636, 0.0 }, | |
2019 | { 1.6960848815118226, -0.29999999999999993, 0.10000000000000001, | |
2020 | 1.5707963267948966, 0.0 }, | |
2021 | }; | |
2022 | const double toler062 = 2.5000000000000020e-13; | |
2023 | ||
2024 | // Test data for k=-0.29999999999999993, nu=0.20000000000000001. | |
2025 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 9 | |
2026 | // max(|f - f_Boost| / |f_Boost|): 6.2247497610332889e-16 | |
2027 | // mean(f - f_Boost): 1.1102230246251565e-16 | |
2028 | // variance(f - f_Boost): 3.8043060629871325e-32 | |
2029 | // stddev(f - f_Boost): 1.9504630380981672e-16 | |
2030 | const testcase_ellint_3<double> | |
2031 | data063[10] = | |
2032 | { | |
2033 | { 0.0000000000000000, -0.29999999999999993, 0.20000000000000001, | |
2034 | 0.0000000000000000, 0.0 }, | |
2035 | { 0.17496614335337535, -0.29999999999999993, 0.20000000000000001, | |
2036 | 0.17453292519943295, 0.0 }, | |
2037 | { 0.35250745937139372, -0.29999999999999993, 0.20000000000000001, | |
2038 | 0.34906585039886590, 0.0 }, | |
2039 | { 0.53506875002836884, -0.29999999999999993, 0.20000000000000001, | |
2040 | 0.52359877559829882, 0.0 }, | |
2041 | { 0.72479106622248191, -0.29999999999999993, 0.20000000000000001, | |
2042 | 0.69813170079773179, 0.0 }, | |
2043 | { 0.92326451535891607, -0.29999999999999993, 0.20000000000000001, | |
2044 | 0.87266462599716477, 0.0 }, | |
2045 | { 1.1312092060698349, -0.29999999999999993, 0.20000000000000001, | |
2046 | 1.0471975511965976, 0.0 }, | |
2047 | { 1.3481473154592321, -0.29999999999999993, 0.20000000000000001, | |
2048 | 1.2217304763960306, 0.0 }, | |
2049 | { 1.5722049569662748, -0.29999999999999993, 0.20000000000000001, | |
2050 | 1.3962634015954636, 0.0 }, | |
2051 | { 1.8002173372290498, -0.29999999999999993, 0.20000000000000001, | |
2052 | 1.5707963267948966, 0.0 }, | |
2053 | }; | |
2054 | const double toler063 = 2.5000000000000020e-13; | |
2055 | ||
2056 | // Test data for k=-0.29999999999999993, nu=0.30000000000000004. | |
2057 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
2058 | // max(|f - f_Boost| / |f_Boost|): 6.1678685180047551e-16 | |
2059 | // mean(f - f_Boost): 1.0547118733938987e-16 | |
2060 | // variance(f - f_Boost): 7.5633408838247182e-32 | |
2061 | // stddev(f - f_Boost): 2.7501528837184157e-16 | |
2062 | const testcase_ellint_3<double> | |
2063 | data064[10] = | |
2064 | { | |
2065 | { 0.0000000000000000, -0.29999999999999993, 0.30000000000000004, | |
2066 | 0.0000000000000000, 0.0 }, | |
2067 | { 0.17514404084107435, -0.29999999999999993, 0.30000000000000004, | |
2068 | 0.17453292519943295, 0.0 }, | |
2069 | { 0.35394619108645647, -0.29999999999999993, 0.30000000000000004, | |
2070 | 0.34906585039886590, 0.0 }, | |
2071 | { 0.54000325463372689, -0.29999999999999993, 0.30000000000000004, | |
2072 | 0.52359877559829882, 0.0 }, | |
2073 | { 0.73670193794067651, -0.29999999999999993, 0.30000000000000004, | |
2074 | 0.69813170079773179, 0.0 }, | |
2075 | { 0.94689345491722177, -0.29999999999999993, 0.30000000000000004, | |
2076 | 0.87266462599716477, 0.0 }, | |
2077 | { 1.1723274608389140, -0.29999999999999993, 0.30000000000000004, | |
2078 | 1.0471975511965976, 0.0 }, | |
2079 | { 1.4128880552936287, -0.29999999999999993, 0.30000000000000004, | |
2080 | 1.2217304763960306, 0.0 }, | |
2081 | { 1.6659010047449661, -0.29999999999999993, 0.30000000000000004, | |
2082 | 1.3962634015954636, 0.0 }, | |
2083 | { 1.9260216862473254, -0.29999999999999993, 0.30000000000000004, | |
2084 | 1.5707963267948966, 0.0 }, | |
2085 | }; | |
2086 | const double toler064 = 2.5000000000000020e-13; | |
2087 | ||
2088 | // Test data for k=-0.29999999999999993, nu=0.40000000000000002. | |
2089 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 | |
2090 | // max(|f - f_Boost| / |f_Boost|): 6.3983279132797385e-16 | |
2091 | // mean(f - f_Boost): 1.1657341758564144e-16 | |
2092 | // variance(f - f_Boost): 1.8245832308692586e-31 | |
2093 | // stddev(f - f_Boost): 4.2715140534349863e-16 | |
2094 | const testcase_ellint_3<double> | |
2095 | data065[10] = | |
2096 | { | |
2097 | { 0.0000000000000000, -0.29999999999999993, 0.40000000000000002, | |
2098 | 0.0000000000000000, 0.0 }, | |
2099 | { 0.17532259000954434, -0.29999999999999993, 0.40000000000000002, | |
2100 | 0.17453292519943295, 0.0 }, | |
2101 | { 0.35540612770983693, -0.29999999999999993, 0.40000000000000002, | |
2102 | 0.34906585039886590, 0.0 }, | |
2103 | { 0.54510265552938919, -0.29999999999999993, 0.40000000000000002, | |
2104 | 0.52359877559829882, 0.0 }, | |
2105 | { 0.74932476310965057, -0.29999999999999993, 0.40000000000000002, | |
2106 | 0.69813170079773179, 0.0 }, | |
2107 | { 0.97272793583093109, -0.29999999999999993, 0.40000000000000002, | |
2108 | 0.87266462599716477, 0.0 }, | |
2109 | { 1.2188928987074241, -0.29999999999999993, 0.40000000000000002, | |
2110 | 1.0471975511965976, 0.0 }, | |
2111 | { 1.4888771674085941, -0.29999999999999993, 0.40000000000000002, | |
2112 | 1.2217304763960306, 0.0 }, | |
2113 | { 1.7794558498219191, -0.29999999999999993, 0.40000000000000002, | |
2114 | 1.3962634015954636, 0.0 }, | |
2115 | { 2.0822121773175528, -0.29999999999999993, 0.40000000000000002, | |
2116 | 1.5707963267948966, 0.0 }, | |
2117 | }; | |
2118 | const double toler065 = 2.5000000000000020e-13; | |
2119 | ||
2120 | // Test data for k=-0.29999999999999993, nu=0.50000000000000000. | |
2121 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 9 | |
2122 | // max(|f - f_Boost| / |f_Boost|): 6.0516138451673425e-16 | |
2123 | // mean(f - f_Boost): 4.7184478546569152e-17 | |
2124 | // variance(f - f_Boost): 1.9448563670505968e-32 | |
2125 | // stddev(f - f_Boost): 1.3945810722401896e-16 | |
2126 | const testcase_ellint_3<double> | |
2127 | data066[10] = | |
2128 | { | |
2129 | { 0.0000000000000000, -0.29999999999999993, 0.50000000000000000, | |
2130 | 0.0000000000000000, 0.0 }, | |
2131 | { 0.17550179513158179, -0.29999999999999993, 0.50000000000000000, | |
2132 | 0.17453292519943295, 0.0 }, | |
2133 | { 0.35688783251681200, -0.29999999999999993, 0.50000000000000000, | |
2134 | 0.34906585039886590, 0.0 }, | |
2135 | { 0.55037700010142798, -0.29999999999999993, 0.50000000000000000, | |
2136 | 0.52359877559829882, 0.0 }, | |
2137 | { 0.76273839789895992, -0.29999999999999993, 0.50000000000000000, | |
2138 | 0.69813170079773179, 0.0 }, | |
2139 | { 1.0011570518830419, -0.29999999999999993, 0.50000000000000000, | |
2140 | 0.87266462599716477, 0.0 }, | |
2141 | { 1.2722987414055109, -0.29999999999999993, 0.50000000000000000, | |
2142 | 1.0471975511965976, 0.0 }, | |
2143 | { 1.5799590511080066, -0.29999999999999993, 0.50000000000000000, | |
2144 | 1.2217304763960306, 0.0 }, | |
2145 | { 1.9212367220124293, -0.29999999999999993, 0.50000000000000000, | |
2146 | 1.3962634015954636, 0.0 }, | |
2147 | { 2.2833505881933971, -0.29999999999999993, 0.50000000000000000, | |
2148 | 1.5707963267948966, 0.0 }, | |
2149 | }; | |
2150 | const double toler066 = 2.5000000000000020e-13; | |
2151 | ||
2152 | // Test data for k=-0.29999999999999993, nu=0.60000000000000009. | |
2153 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 | |
2154 | // max(|f - f_Boost| / |f_Boost|): 5.2121157428443725e-16 | |
2155 | // mean(f - f_Boost): 1.9428902930940239e-16 | |
2156 | // variance(f - f_Boost): 1.5987596229703424e-31 | |
2157 | // stddev(f - f_Boost): 3.9984492281012430e-16 | |
2158 | const testcase_ellint_3<double> | |
2159 | data067[10] = | |
2160 | { | |
2161 | { 0.0000000000000000, -0.29999999999999993, 0.60000000000000009, | |
2162 | 0.0000000000000000, 0.0 }, | |
2163 | { 0.17568166052076745, -0.29999999999999993, 0.60000000000000009, | |
2164 | 0.17453292519943295, 0.0 }, | |
2165 | { 0.35839189074731181, -0.29999999999999993, 0.60000000000000009, | |
2166 | 0.34906585039886590, 0.0 }, | |
2167 | { 0.55583724744367558, -0.29999999999999993, 0.60000000000000009, | |
2168 | 0.52359877559829882, 0.0 }, | |
2169 | { 0.77703498090888223, -0.29999999999999993, 0.60000000000000009, | |
2170 | 0.69813170079773179, 0.0 }, | |
2171 | { 1.0326772113675962, -0.29999999999999993, 0.60000000000000009, | |
2172 | 0.87266462599716477, 0.0 }, | |
2173 | { 1.3345139983717369, -0.29999999999999993, 0.60000000000000009, | |
2174 | 1.0471975511965976, 0.0 }, | |
2175 | { 1.6921742922838403, -0.29999999999999993, 0.60000000000000009, | |
2176 | 1.2217304763960306, 0.0 }, | |
2177 | { 2.1056608968472186, -0.29999999999999993, 0.60000000000000009, | |
2178 | 1.3962634015954636, 0.0 }, | |
2179 | { 2.5560975528589061, -0.29999999999999993, 0.60000000000000009, | |
2180 | 1.5707963267948966, 0.0 }, | |
2181 | }; | |
2182 | const double toler067 = 2.5000000000000020e-13; | |
2183 | ||
2184 | // Test data for k=-0.29999999999999993, nu=0.70000000000000007. | |
2185 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
2186 | // max(|f - f_Boost| / |f_Boost|): 6.0088945789059381e-16 | |
2187 | // mean(f - f_Boost): 1.6653345369377348e-16 | |
2188 | // variance(f - f_Boost): 3.1994213989721786e-31 | |
2189 | // stddev(f - f_Boost): 5.6563428104846852e-16 | |
2190 | const testcase_ellint_3<double> | |
2191 | data068[10] = | |
2192 | { | |
2193 | { 0.0000000000000000, -0.29999999999999993, 0.70000000000000007, | |
2194 | 0.0000000000000000, 0.0 }, | |
2195 | { 0.17586219053197988, -0.29999999999999993, 0.70000000000000007, | |
2196 | 0.17453292519943295, 0.0 }, | |
2197 | { 0.35991891074557669, -0.29999999999999993, 0.70000000000000007, | |
2198 | 0.34906585039886590, 0.0 }, | |
2199 | { 0.56149538019961731, -0.29999999999999993, 0.70000000000000007, | |
2200 | 0.52359877559829882, 0.0 }, | |
2201 | { 0.79232303189667685, -0.29999999999999993, 0.70000000000000007, | |
2202 | 0.69813170079773179, 0.0 }, | |
2203 | { 1.0679345542878826, -0.29999999999999993, 0.70000000000000007, | |
2204 | 0.87266462599716477, 0.0 }, | |
2205 | { 1.4084400085913955, -0.29999999999999993, 0.70000000000000007, | |
2206 | 1.0471975511965976, 0.0 }, | |
2207 | { 1.8357382859296454, -0.29999999999999993, 0.70000000000000007, | |
2208 | 1.2217304763960306, 0.0 }, | |
2209 | { 2.3604197996171519, -0.29999999999999993, 0.70000000000000007, | |
2210 | 1.3962634015954636, 0.0 }, | |
2211 | { 2.9562123549913872, -0.29999999999999993, 0.70000000000000007, | |
2212 | 1.5707963267948966, 0.0 }, | |
2213 | }; | |
2214 | const double toler068 = 2.5000000000000020e-13; | |
2215 | ||
2216 | // Test data for k=-0.29999999999999993, nu=0.80000000000000004. | |
2217 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 9 | |
2218 | // max(|f - f_Boost| / |f_Boost|): 6.1197887707781618e-16 | |
2219 | // mean(f - f_Boost): 3.4416913763379854e-16 | |
2220 | // variance(f - f_Boost): 4.3461914185990199e-31 | |
2221 | // stddev(f - f_Boost): 6.5925650687718054e-16 | |
2222 | const testcase_ellint_3<double> | |
2223 | data069[10] = | |
2224 | { | |
2225 | { 0.0000000000000000, -0.29999999999999993, 0.80000000000000004, | |
2226 | 0.0000000000000000, 0.0 }, | |
2227 | { 0.17604338956191670, -0.29999999999999993, 0.80000000000000004, | |
2228 | 0.17453292519943295, 0.0 }, | |
2229 | { 0.36146952517410791, -0.29999999999999993, 0.80000000000000004, | |
2230 | 0.34906585039886590, 0.0 }, | |
2231 | { 0.56736453393774644, -0.29999999999999993, 0.80000000000000004, | |
2232 | 0.52359877559829882, 0.0 }, | |
2233 | { 0.80873149979001091, -0.29999999999999993, 0.80000000000000004, | |
2234 | 0.69813170079773179, 0.0 }, | |
2235 | { 1.1077903069860620, -0.29999999999999993, 0.80000000000000004, | |
2236 | 0.87266462599716477, 0.0 }, | |
2237 | { 1.4985874311132998, -0.29999999999999993, 0.80000000000000004, | |
2238 | 1.0471975511965976, 0.0 }, | |
2239 | { 2.0298167266724954, -0.29999999999999993, 0.80000000000000004, | |
2240 | 1.2217304763960306, 0.0 }, | |
2241 | { 2.7483929054985432, -0.29999999999999993, 0.80000000000000004, | |
2242 | 1.3962634015954636, 0.0 }, | |
2243 | { 3.6283050484567170, -0.29999999999999993, 0.80000000000000004, | |
2244 | 1.5707963267948966, 0.0 }, | |
2245 | }; | |
2246 | const double toler069 = 2.5000000000000020e-13; | |
2247 | ||
2248 | // Test data for k=-0.29999999999999993, nu=0.90000000000000002. | |
2249 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 8 | |
2250 | // max(|f - f_Boost| / |f_Boost|): 5.1301806687926828e-16 | |
2251 | // mean(f - f_Boost): 4.1633363423443370e-16 | |
2252 | // variance(f - f_Boost): 2.2835347143080263e-31 | |
2253 | // stddev(f - f_Boost): 4.7786344433405093e-16 | |
2254 | const testcase_ellint_3<double> | |
2255 | data070[10] = | |
2256 | { | |
2257 | { 0.0000000000000000, -0.29999999999999993, 0.90000000000000002, | |
2258 | 0.0000000000000000, 0.0 }, | |
2259 | { 0.17622526204962433, -0.29999999999999993, 0.90000000000000002, | |
2260 | 0.17453292519943295, 0.0 }, | |
2261 | { 0.36304439230777141, -0.29999999999999993, 0.90000000000000002, | |
2262 | 0.34906585039886590, 0.0 }, | |
2263 | { 0.57345914744719195, -0.29999999999999993, 0.90000000000000002, | |
2264 | 0.52359877559829882, 0.0 }, | |
2265 | { 0.82641512928845162, -0.29999999999999993, 0.90000000000000002, | |
2266 | 0.69813170079773179, 0.0 }, | |
2267 | { 1.1534256210757743, -0.29999999999999993, 0.90000000000000002, | |
2268 | 0.87266462599716477, 0.0 }, | |
2269 | { 1.6124900353411677, -0.29999999999999993, 0.90000000000000002, | |
2270 | 1.0471975511965976, 0.0 }, | |
2271 | { 2.3165905514845089, -0.29999999999999993, 0.90000000000000002, | |
2272 | 1.2217304763960306, 0.0 }, | |
2273 | { 3.4625619526539824, -0.29999999999999993, 0.90000000000000002, | |
2274 | 1.3962634015954636, 0.0 }, | |
2275 | { 5.1479514944016787, -0.29999999999999993, 0.90000000000000002, | |
2276 | 1.5707963267948966, 0.0 }, | |
2277 | }; | |
2278 | const double toler070 = 2.5000000000000020e-13; | |
7c62b943 BK |
2279 | |
2280 | // Test data for k=-0.19999999999999996, nu=0.0000000000000000. | |
b4688136 ESR |
2281 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 6 |
2282 | // max(|f - f_Boost| / |f_Boost|): 4.2156475739151676e-16 | |
2283 | // mean(f - f_Boost): -5.2735593669694933e-17 | |
2284 | // variance(f - f_Boost): 3.0473442641042680e-32 | |
2285 | // stddev(f - f_Boost): 1.7456644190978597e-16 | |
2286 | const testcase_ellint_3<double> | |
2287 | data071[10] = | |
2288 | { | |
2289 | { 0.0000000000000000, -0.19999999999999996, 0.0000000000000000, | |
2290 | 0.0000000000000000, 0.0 }, | |
2291 | { 0.17456817290292806, -0.19999999999999996, 0.0000000000000000, | |
2292 | 0.17453292519943295, 0.0 }, | |
2293 | { 0.34934315932086796, -0.19999999999999996, 0.0000000000000000, | |
2294 | 0.34906585039886590, 0.0 }, | |
2295 | { 0.52450880529443988, -0.19999999999999996, 0.0000000000000000, | |
2296 | 0.52359877559829882, 0.0 }, | |
2297 | { 0.70020491009844887, -0.19999999999999996, 0.0000000000000000, | |
2298 | 0.69813170079773179, 0.0 }, | |
2299 | { 0.87651006649967977, -0.19999999999999996, 0.0000000000000000, | |
2300 | 0.87266462599716477, 0.0 }, | |
2301 | { 1.0534305870298994, -0.19999999999999996, 0.0000000000000000, | |
2302 | 1.0471975511965976, 0.0 }, | |
2303 | { 1.2308975521670789, -0.19999999999999996, 0.0000000000000000, | |
2304 | 1.2217304763960306, 0.0 }, | |
2305 | { 1.4087733584990738, -0.19999999999999996, 0.0000000000000000, | |
2306 | 1.3962634015954636, 0.0 }, | |
2307 | { 1.5868678474541662, -0.19999999999999996, 0.0000000000000000, | |
2308 | 1.5707963267948966, 0.0 }, | |
2309 | }; | |
2310 | const double toler071 = 2.5000000000000020e-13; | |
7c62b943 BK |
2311 | |
2312 | // Test data for k=-0.19999999999999996, nu=0.10000000000000001. | |
b4688136 ESR |
2313 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 6 |
2314 | // max(|f - f_Boost| / |f_Boost|): 4.0890622182605400e-16 | |
2315 | // mean(f - f_Boost): -3.8857805861880476e-17 | |
2316 | // variance(f - f_Boost): 2.8794792590749608e-32 | |
2317 | // stddev(f - f_Boost): 1.6969028431454054e-16 | |
2318 | const testcase_ellint_3<double> | |
2319 | data072[10] = | |
2320 | { | |
2321 | { 0.0000000000000000, -0.19999999999999996, 0.10000000000000001, | |
2322 | 0.0000000000000000, 0.0 }, | |
2323 | { 0.17474469953608965, -0.19999999999999996, 0.10000000000000001, | |
2324 | 0.17453292519943295, 0.0 }, | |
2325 | { 0.35073860234984255, -0.19999999999999996, 0.10000000000000001, | |
2326 | 0.34906585039886590, 0.0 }, | |
2327 | { 0.52912258712951521, -0.19999999999999996, 0.10000000000000001, | |
2328 | 0.52359877559829882, 0.0 }, | |
2329 | { 0.71081701558898069, -0.19999999999999996, 0.10000000000000001, | |
2330 | 0.69813170079773179, 0.0 }, | |
2331 | { 0.89640758521169384, -0.19999999999999996, 0.10000000000000001, | |
2332 | 0.87266462599716477, 0.0 }, | |
2333 | { 1.0860417038089853, -0.19999999999999996, 0.10000000000000001, | |
2334 | 1.0471975511965976, 0.0 }, | |
2335 | { 1.2793599255528623, -0.19999999999999996, 0.10000000000000001, | |
2336 | 1.2217304763960306, 0.0 }, | |
2337 | { 1.4754938544089076, -0.19999999999999996, 0.10000000000000001, | |
2338 | 1.3962634015954636, 0.0 }, | |
2339 | { 1.6731552050562593, -0.19999999999999996, 0.10000000000000001, | |
2340 | 1.5707963267948966, 0.0 }, | |
2341 | }; | |
2342 | const double toler072 = 2.5000000000000020e-13; | |
7c62b943 BK |
2343 | |
2344 | // Test data for k=-0.19999999999999996, nu=0.20000000000000001. | |
b4688136 ESR |
2345 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 6 |
2346 | // max(|f - f_Boost| / |f_Boost|): 3.9570963716579749e-16 | |
2347 | // mean(f - f_Boost): -5.8286708792820721e-17 | |
2348 | // variance(f - f_Boost): 3.1158217732380362e-32 | |
2349 | // stddev(f - f_Boost): 1.7651690494788412e-16 | |
2350 | const testcase_ellint_3<double> | |
2351 | data073[10] = | |
2352 | { | |
2353 | { 0.0000000000000000, -0.19999999999999996, 0.20000000000000001, | |
2354 | 0.0000000000000000, 0.0 }, | |
2355 | { 0.17492186907740698, -0.19999999999999996, 0.20000000000000001, | |
2356 | 0.17453292519943295, 0.0 }, | |
2357 | { 0.35215414286134267, -0.19999999999999996, 0.20000000000000001, | |
2358 | 0.34906585039886590, 0.0 }, | |
2359 | { 0.53388285615182440, -0.19999999999999996, 0.20000000000000001, | |
2360 | 0.52359877559829882, 0.0 }, | |
2361 | { 0.72200960282688265, -0.19999999999999996, 0.20000000000000001, | |
2362 | 0.69813170079773179, 0.0 }, | |
2363 | { 0.91793087614428526, -0.19999999999999996, 0.20000000000000001, | |
2364 | 0.87266462599716477, 0.0 }, | |
2365 | { 1.1222602841587976, -0.19999999999999996, 0.20000000000000001, | |
2366 | 1.0471975511965976, 0.0 }, | |
2367 | { 1.3345489407496247, -0.19999999999999996, 0.20000000000000001, | |
2368 | 1.2217304763960306, 0.0 }, | |
2369 | { 1.5531225705475502, -0.19999999999999996, 0.20000000000000001, | |
2370 | 1.3962634015954636, 0.0 }, | |
2371 | { 1.7751816279738935, -0.19999999999999996, 0.20000000000000001, | |
2372 | 1.5707963267948966, 0.0 }, | |
2373 | }; | |
2374 | const double toler073 = 2.5000000000000020e-13; | |
2375 | ||
2376 | // Test data for k=-0.19999999999999996, nu=0.30000000000000004. | |
2377 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
2378 | // max(|f - f_Boost| / |f_Boost|): 4.6785817924053817e-16 | |
2379 | // mean(f - f_Boost): -1.1102230246251566e-17 | |
2380 | // variance(f - f_Boost): 9.9840208317034302e-32 | |
2381 | // stddev(f - f_Boost): 3.1597501217190311e-16 | |
2382 | const testcase_ellint_3<double> | |
2383 | data074[10] = | |
2384 | { | |
2385 | { 0.0000000000000000, -0.19999999999999996, 0.30000000000000004, | |
2386 | 0.0000000000000000, 0.0 }, | |
2387 | { 0.17509968571715159, -0.19999999999999996, 0.30000000000000004, | |
2388 | 0.17453292519943295, 0.0 }, | |
2389 | { 0.35359030214835629, -0.19999999999999996, 0.30000000000000004, | |
2390 | 0.34906585039886590, 0.0 }, | |
2391 | { 0.53879807274537084, -0.19999999999999996, 0.30000000000000004, | |
2392 | 0.52359877559829882, 0.0 }, | |
2393 | { 0.73384116418059731, -0.19999999999999996, 0.30000000000000004, | |
2394 | 0.69813170079773179, 0.0 }, | |
2395 | { 0.94132799329524031, -0.19999999999999996, 0.30000000000000004, | |
2396 | 0.87266462599716477, 0.0 }, | |
2397 | { 1.1628407021801439, -0.19999999999999996, 0.30000000000000004, | |
2398 | 1.0471975511965976, 0.0 }, | |
2399 | { 1.3982440216739438, -0.19999999999999996, 0.30000000000000004, | |
2400 | 1.2217304763960306, 0.0 }, | |
2401 | { 1.6450634983653640, -0.19999999999999996, 0.30000000000000004, | |
2402 | 1.3962634015954636, 0.0 }, | |
2403 | { 1.8983924169967099, -0.19999999999999996, 0.30000000000000004, | |
2404 | 1.5707963267948966, 0.0 }, | |
2405 | }; | |
2406 | const double toler074 = 2.5000000000000020e-13; | |
7c62b943 BK |
2407 | |
2408 | // Test data for k=-0.19999999999999996, nu=0.40000000000000002. | |
b4688136 ESR |
2409 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 |
2410 | // max(|f - f_Boost| / |f_Boost|): 4.3298410018355870e-16 | |
2411 | // mean(f - f_Boost): 1.3877787807814457e-17 | |
2412 | // variance(f - f_Boost): 9.4370567274974557e-32 | |
2413 | // stddev(f - f_Boost): 3.0719792850046133e-16 | |
2414 | const testcase_ellint_3<double> | |
2415 | data075[10] = | |
2416 | { | |
2417 | { 0.0000000000000000, -0.19999999999999996, 0.40000000000000002, | |
2418 | 0.0000000000000000, 0.0 }, | |
2419 | { 0.17527815368535152, -0.19999999999999996, 0.40000000000000002, | |
2420 | 0.17453292519943295, 0.0 }, | |
2421 | { 0.35504762134297801, -0.19999999999999996, 0.40000000000000002, | |
2422 | 0.34906585039886590, 0.0 }, | |
2423 | { 0.54387742353211344, -0.19999999999999996, 0.40000000000000002, | |
2424 | 0.52359877559829882, 0.0 }, | |
2425 | { 0.74637910471804259, -0.19999999999999996, 0.40000000000000002, | |
2426 | 0.69813170079773179, 0.0 }, | |
2427 | { 0.96690539714174639, -0.19999999999999996, 0.40000000000000002, | |
2428 | 0.87266462599716477, 0.0 }, | |
2429 | { 1.2087859420184757, -0.19999999999999996, 0.40000000000000002, | |
2430 | 1.0471975511965976, 0.0 }, | |
2431 | { 1.4729799844168852, -0.19999999999999996, 0.40000000000000002, | |
2432 | 1.2217304763960306, 0.0 }, | |
2433 | { 1.7564445064596661, -0.19999999999999996, 0.40000000000000002, | |
2434 | 1.3962634015954636, 0.0 }, | |
2435 | { 2.0512956926676802, -0.19999999999999996, 0.40000000000000002, | |
2436 | 1.5707963267948966, 0.0 }, | |
2437 | }; | |
2438 | const double toler075 = 2.5000000000000020e-13; | |
7c62b943 BK |
2439 | |
2440 | // Test data for k=-0.19999999999999996, nu=0.50000000000000000. | |
b4688136 ESR |
2441 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 |
2442 | // max(|f - f_Boost| / |f_Boost|): 4.3841806057292116e-16 | |
2443 | // mean(f - f_Boost): 8.0491169285323847e-17 | |
2444 | // variance(f - f_Boost): 8.0538110429953348e-32 | |
2445 | // stddev(f - f_Boost): 2.8379237204328335e-16 | |
2446 | const testcase_ellint_3<double> | |
2447 | data076[10] = | |
2448 | { | |
2449 | { 0.0000000000000000, -0.19999999999999996, 0.50000000000000000, | |
2450 | 0.0000000000000000, 0.0 }, | |
2451 | { 0.17545727725228877, -0.19999999999999996, 0.50000000000000000, | |
2452 | 0.17453292519943295, 0.0 }, | |
2453 | { 0.35652666242062175, -0.19999999999999996, 0.50000000000000000, | |
2454 | 0.34906585039886590, 0.0 }, | |
2455 | { 0.54913090549102406, -0.19999999999999996, 0.50000000000000000, | |
2456 | 0.52359877559829882, 0.0 }, | |
2457 | { 0.75970161209211551, -0.19999999999999996, 0.50000000000000000, | |
2458 | 0.69813170079773179, 0.0 }, | |
2459 | { 0.99504737401590326, -0.19999999999999996, 0.50000000000000000, | |
2460 | 0.87266462599716477, 0.0 }, | |
2461 | { 1.2614666007124373, -0.19999999999999996, 0.50000000000000000, | |
2462 | 1.0471975511965976, 0.0 }, | |
2463 | { 1.5625255355205496, -0.19999999999999996, 0.50000000000000000, | |
2464 | 1.2217304763960306, 0.0 }, | |
2465 | { 1.8954460255613343, -0.19999999999999996, 0.50000000000000000, | |
2466 | 1.3962634015954636, 0.0 }, | |
2467 | { 2.2481046259421302, -0.19999999999999996, 0.50000000000000000, | |
2468 | 1.5707963267948966, 0.0 }, | |
2469 | }; | |
2470 | const double toler076 = 2.5000000000000020e-13; | |
2471 | ||
2472 | // Test data for k=-0.19999999999999996, nu=0.60000000000000009. | |
2473 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
2474 | // max(|f - f_Boost| / |f_Boost|): 3.5317584994994743e-16 | |
2475 | // mean(f - f_Boost): -1.3877787807814457e-17 | |
2476 | // variance(f - f_Boost): 1.0045745697575397e-31 | |
2477 | // stddev(f - f_Boost): 3.1695024369095219e-16 | |
2478 | const testcase_ellint_3<double> | |
2479 | data077[10] = | |
2480 | { | |
2481 | { 0.0000000000000000, -0.19999999999999996, 0.60000000000000009, | |
2482 | 0.0000000000000000, 0.0 }, | |
2483 | { 0.17563706072900442, -0.19999999999999996, 0.60000000000000009, | |
2484 | 0.17453292519943295, 0.0 }, | |
2485 | { 0.35802800926807238, -0.19999999999999996, 0.60000000000000009, | |
2486 | 0.34906585039886590, 0.0 }, | |
2487 | { 0.55456942250515051, -0.19999999999999996, 0.60000000000000009, | |
2488 | 0.52359877559829882, 0.0 }, | |
2489 | { 0.77390003828438203, -0.19999999999999996, 0.60000000000000009, | |
2490 | 0.69813170079773179, 0.0 }, | |
2491 | { 1.0262441366366397, -0.19999999999999996, 0.60000000000000009, | |
2492 | 0.87266462599716477, 0.0 }, | |
2493 | { 1.3228192988439669, -0.19999999999999996, 0.60000000000000009, | |
2494 | 1.0471975511965976, 0.0 }, | |
2495 | { 1.6728005754680795, -0.19999999999999996, 0.60000000000000009, | |
2496 | 1.2217304763960306, 0.0 }, | |
2497 | { 2.0761587107468511, -0.19999999999999996, 0.60000000000000009, | |
2498 | 1.3962634015954636, 0.0 }, | |
2499 | { 2.5148333891629315, -0.19999999999999996, 0.60000000000000009, | |
2500 | 1.5707963267948966, 0.0 }, | |
2501 | }; | |
2502 | const double toler077 = 2.5000000000000020e-13; | |
2503 | ||
2504 | // Test data for k=-0.19999999999999996, nu=0.70000000000000007. | |
2505 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
2506 | // max(|f - f_Boost| / |f_Boost|): 3.1818454249546518e-16 | |
2507 | // mean(f - f_Boost): 3.6082248300317589e-17 | |
2508 | // variance(f - f_Boost): 8.9638010532618564e-32 | |
2509 | // stddev(f - f_Boost): 2.9939607634806868e-16 | |
2510 | const testcase_ellint_3<double> | |
2511 | data078[10] = | |
2512 | { | |
2513 | { 0.0000000000000000, -0.19999999999999996, 0.70000000000000007, | |
2514 | 0.0000000000000000, 0.0 }, | |
2515 | { 0.17581750846781172, -0.19999999999999996, 0.70000000000000007, | |
2516 | 0.17453292519943295, 0.0 }, | |
2517 | { 0.35955226882028513, -0.19999999999999996, 0.70000000000000007, | |
2518 | 0.34906585039886590, 0.0 }, | |
2519 | { 0.56020489659466499, -0.19999999999999996, 0.70000000000000007, | |
2520 | 0.52359877559829882, 0.0 }, | |
2521 | { 0.78908196988531487, -0.19999999999999996, 0.70000000000000007, | |
2522 | 0.69813170079773179, 0.0 }, | |
2523 | { 1.0611336754143517, -0.19999999999999996, 0.70000000000000007, | |
2524 | 0.87266462599716477, 0.0 }, | |
2525 | { 1.3956969951058884, -0.19999999999999996, 0.70000000000000007, | |
2526 | 1.0471975511965976, 0.0 }, | |
2527 | { 1.8138131612209609, -0.19999999999999996, 0.70000000000000007, | |
2528 | 1.2217304763960306, 0.0 }, | |
2529 | { 2.3256365528879561, -0.19999999999999996, 0.70000000000000007, | |
2530 | 1.3962634015954636, 0.0 }, | |
2531 | { 2.9058704854500963, -0.19999999999999996, 0.70000000000000007, | |
2532 | 1.5707963267948966, 0.0 }, | |
2533 | }; | |
2534 | const double toler078 = 2.5000000000000020e-13; | |
7c62b943 BK |
2535 | |
2536 | // Test data for k=-0.19999999999999996, nu=0.80000000000000004. | |
b4688136 ESR |
2537 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 |
2538 | // max(|f - f_Boost| / |f_Boost|): 4.9866614515542431e-16 | |
2539 | // mean(f - f_Boost): 1.8318679906315082e-16 | |
2540 | // variance(f - f_Boost): 3.1335688610218711e-31 | |
2541 | // stddev(f - f_Boost): 5.5978289193417400e-16 | |
2542 | const testcase_ellint_3<double> | |
2543 | data079[10] = | |
2544 | { | |
2545 | { 0.0000000000000000, -0.19999999999999996, 0.80000000000000004, | |
2546 | 0.0000000000000000, 0.0 }, | |
2547 | { 0.17599862486281712, -0.19999999999999996, 0.80000000000000004, | |
2548 | 0.17453292519943295, 0.0 }, | |
2549 | { 0.36110007227128776, -0.19999999999999996, 0.80000000000000004, | |
2550 | 0.34906585039886590, 0.0 }, | |
2551 | { 0.56605039658567224, -0.19999999999999996, 0.80000000000000004, | |
2552 | 0.52359877559829882, 0.0 }, | |
2553 | { 0.80537523874517691, -0.19999999999999996, 0.80000000000000004, | |
2554 | 0.69813170079773179, 0.0 }, | |
2555 | { 1.1005662342414086, -0.19999999999999996, 0.80000000000000004, | |
2556 | 0.87266462599716477, 0.0 }, | |
2557 | { 1.4845340298105778, -0.19999999999999996, 0.80000000000000004, | |
2558 | 1.0471975511965976, 0.0 }, | |
2559 | { 2.0043332244969392, -0.19999999999999996, 0.80000000000000004, | |
2560 | 1.2217304763960306, 0.0 }, | |
2561 | { 2.7052856676744761, -0.19999999999999996, 0.80000000000000004, | |
2562 | 1.3962634015954636, 0.0 }, | |
2563 | { 3.5622166386422629, -0.19999999999999996, 0.80000000000000004, | |
2564 | 1.5707963267948966, 0.0 }, | |
2565 | }; | |
2566 | const double toler079 = 2.5000000000000020e-13; | |
7c62b943 BK |
2567 | |
2568 | // Test data for k=-0.19999999999999996, nu=0.90000000000000002. | |
b4688136 ESR |
2569 | // max(|f - f_Boost|): 2.6645352591003757e-15 at index 9 |
2570 | // max(|f - f_Boost| / |f_Boost|): 5.2817178727913890e-16 | |
2571 | // mean(f - f_Boost): 3.4694469519536142e-16 | |
2572 | // variance(f - f_Boost): 6.6311432369155086e-31 | |
2573 | // stddev(f - f_Boost): 8.1431831840598485e-16 | |
2574 | const testcase_ellint_3<double> | |
2575 | data080[10] = | |
2576 | { | |
2577 | { 0.0000000000000000, -0.19999999999999996, 0.90000000000000002, | |
2578 | 0.0000000000000000, 0.0 }, | |
2579 | { 0.17618041435044951, -0.19999999999999996, 0.90000000000000002, | |
2580 | 0.17453292519943295, 0.0 }, | |
2581 | { 0.36267207636502929, -0.19999999999999996, 0.90000000000000002, | |
2582 | 0.34906585039886590, 0.0 }, | |
2583 | { 0.57212028758237743, -0.19999999999999996, 0.90000000000000002, | |
2584 | 0.52359877559829882, 0.0 }, | |
2585 | { 0.82293323876704483, -0.19999999999999996, 0.90000000000000002, | |
2586 | 0.69813170079773179, 0.0 }, | |
2587 | { 1.1457077279880385, -0.19999999999999996, 0.90000000000000002, | |
2588 | 0.87266462599716477, 0.0 }, | |
2589 | { 1.5967346899325681, -0.19999999999999996, 0.90000000000000002, | |
2590 | 1.0471975511965976, 0.0 }, | |
2591 | { 2.2856537353421724, -0.19999999999999996, 0.90000000000000002, | |
2592 | 1.2217304763960306, 0.0 }, | |
2593 | { 3.4034714304613902, -0.19999999999999996, 0.90000000000000002, | |
2594 | 1.3962634015954636, 0.0 }, | |
2595 | { 5.0448269356200361, -0.19999999999999996, 0.90000000000000002, | |
2596 | 1.5707963267948966, 0.0 }, | |
2597 | }; | |
2598 | const double toler080 = 2.5000000000000020e-13; | |
7c62b943 BK |
2599 | |
2600 | // Test data for k=-0.099999999999999978, nu=0.0000000000000000. | |
b4688136 ESR |
2601 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 8 |
2602 | // max(|f - f_Boost| / |f_Boost|): 3.1735566504509645e-16 | |
2603 | // mean(f - f_Boost): -3.6082248300317589e-17 | |
2604 | // variance(f - f_Boost): 8.2258607846939269e-33 | |
2605 | // stddev(f - f_Boost): 9.0696531271564778e-17 | |
2606 | const testcase_ellint_3<double> | |
2607 | data081[10] = | |
2608 | { | |
2609 | { 0.0000000000000000, -0.099999999999999978, 0.0000000000000000, | |
2610 | 0.0000000000000000, 0.0 }, | |
2611 | { 0.17454173353063662, -0.099999999999999978, 0.0000000000000000, | |
2612 | 0.17453292519943295, 0.0 }, | |
2613 | { 0.34913506721468096, -0.099999999999999978, 0.0000000000000000, | |
2614 | 0.34906585039886590, 0.0 }, | |
2615 | { 0.52382550016538953, -0.099999999999999978, 0.0000000000000000, | |
2616 | 0.52359877559829882, 0.0 }, | |
2617 | { 0.69864700854177020, -0.099999999999999978, 0.0000000000000000, | |
2618 | 0.69813170079773179, 0.0 }, | |
2619 | { 0.87361792586964859, -0.099999999999999978, 0.0000000000000000, | |
2620 | 0.87266462599716477, 0.0 }, | |
2621 | { 1.0487386319621685, -0.099999999999999978, 0.0000000000000000, | |
2622 | 1.0471975511965976, 0.0 }, | |
2623 | { 1.2239913752078759, -0.099999999999999978, 0.0000000000000000, | |
2624 | 1.2217304763960306, 0.0 }, | |
2625 | { 1.3993423113684051, -0.099999999999999978, 0.0000000000000000, | |
2626 | 1.3962634015954636, 0.0 }, | |
2627 | { 1.5747455615173558, -0.099999999999999978, 0.0000000000000000, | |
2628 | 1.5707963267948966, 0.0 }, | |
2629 | }; | |
2630 | const double toler081 = 2.5000000000000020e-13; | |
7c62b943 BK |
2631 | |
2632 | // Test data for k=-0.099999999999999978, nu=0.10000000000000001. | |
b4688136 ESR |
2633 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 8 |
2634 | // max(|f - f_Boost| / |f_Boost|): 3.0305747373482148e-16 | |
2635 | // mean(f - f_Boost): -3.0531133177191807e-17 | |
2636 | // variance(f - f_Boost): 1.1508025840536076e-34 | |
2637 | // stddev(f - f_Boost): 1.0727546709539920e-17 | |
2638 | const testcase_ellint_3<double> | |
2639 | data082[10] = | |
2640 | { | |
2641 | { 0.0000000000000000, -0.099999999999999978, 0.10000000000000001, | |
2642 | 0.0000000000000000, 0.0 }, | |
2643 | { 0.17471821213559732, -0.099999999999999978, 0.10000000000000001, | |
2644 | 0.17453292519943295, 0.0 }, | |
2645 | { 0.35052902610011138, -0.099999999999999978, 0.10000000000000001, | |
2646 | 0.34906585039886590, 0.0 }, | |
2647 | { 0.52842865990255727, -0.099999999999999978, 0.10000000000000001, | |
2648 | 0.52359877559829882, 0.0 }, | |
2649 | { 0.70921799731166713, -0.099999999999999978, 0.10000000000000001, | |
2650 | 0.69813170079773179, 0.0 }, | |
2651 | { 0.89340330535868662, -0.099999999999999978, 0.10000000000000001, | |
2652 | 0.87266462599716477, 0.0 }, | |
2653 | { 1.0811075784236857, -0.099999999999999978, 0.10000000000000001, | |
2654 | 1.0471975511965976, 0.0 }, | |
2655 | { 1.2720133232666426, -0.099999999999999978, 0.10000000000000001, | |
2656 | 1.2217304763960306, 0.0 }, | |
2657 | { 1.4653630031861395, -0.099999999999999978, 0.10000000000000001, | |
2658 | 1.3962634015954636, 0.0 }, | |
2659 | { 1.6600374067558428, -0.099999999999999978, 0.10000000000000001, | |
2660 | 1.5707963267948966, 0.0 }, | |
2661 | }; | |
2662 | const double toler082 = 2.5000000000000020e-13; | |
7c62b943 BK |
2663 | |
2664 | // Test data for k=-0.099999999999999978, nu=0.20000000000000001. | |
b4688136 ESR |
2665 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 7 |
2666 | // max(|f - f_Boost| / |f_Boost|): 1.6736714959992433e-16 | |
2667 | // mean(f - f_Boost): 5.5511151231257830e-18 | |
2668 | // variance(f - f_Boost): 3.8043060629871325e-36 | |
2669 | // stddev(f - f_Boost): 1.9504630380981673e-18 | |
2670 | const testcase_ellint_3<double> | |
2671 | data083[10] = | |
2672 | { | |
2673 | { 0.0000000000000000, -0.099999999999999978, 0.20000000000000001, | |
2674 | 0.0000000000000000, 0.0 }, | |
2675 | { 0.17489533344059083, -0.099999999999999978, 0.20000000000000001, | |
2676 | 0.17453292519943295, 0.0 }, | |
2677 | { 0.35194305707815038, -0.099999999999999978, 0.20000000000000001, | |
2678 | 0.34906585039886590, 0.0 }, | |
2679 | { 0.53317790741512527, -0.099999999999999978, 0.20000000000000001, | |
2680 | 0.52359877559829882, 0.0 }, | |
2681 | { 0.72036681615081222, -0.099999999999999978, 0.20000000000000001, | |
2682 | 0.69813170079773179, 0.0 }, | |
2683 | { 0.91480372268244303, -0.099999999999999978, 0.20000000000000001, | |
2684 | 0.87266462599716477, 0.0 }, | |
2685 | { 1.1170528708071514, -0.099999999999999978, 0.20000000000000001, | |
2686 | 1.0471975511965976, 0.0 }, | |
2687 | { 1.3266916802718358, -0.099999999999999978, 0.20000000000000001, | |
2688 | 1.2217304763960306, 0.0 }, | |
2689 | { 1.5421622241831547, -0.099999999999999978, 0.20000000000000001, | |
2690 | 1.3962634015954636, 0.0 }, | |
2691 | { 1.7608656115083421, -0.099999999999999978, 0.20000000000000001, | |
2692 | 1.5707963267948966, 0.0 }, | |
2693 | }; | |
2694 | const double toler083 = 2.5000000000000020e-13; | |
2695 | ||
2696 | // Test data for k=-0.099999999999999978, nu=0.30000000000000004. | |
2697 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 6 | |
2698 | // max(|f - f_Boost| / |f_Boost|): 1.9186071760326645e-16 | |
2699 | // mean(f - f_Boost): -1.6653345369377347e-17 | |
2700 | // variance(f - f_Boost): 3.4238754566884194e-35 | |
2701 | // stddev(f - f_Boost): 5.8513891142945016e-18 | |
2702 | const testcase_ellint_3<double> | |
2703 | data084[10] = | |
2704 | { | |
2705 | { 0.0000000000000000, -0.099999999999999978, 0.30000000000000004, | |
2706 | 0.0000000000000000, 0.0 }, | |
2707 | { 0.17507310163441189, -0.099999999999999978, 0.30000000000000004, | |
2708 | 0.17453292519943295, 0.0 }, | |
2709 | { 0.35337768072524217, -0.099999999999999978, 0.30000000000000004, | |
2710 | 0.34906585039886590, 0.0 }, | |
2711 | { 0.53808167801629170, -0.099999999999999978, 0.30000000000000004, | |
2712 | 0.52359877559829882, 0.0 }, | |
2713 | { 0.73215166755955019, -0.099999999999999978, 0.30000000000000004, | |
2714 | 0.69813170079773179, 0.0 }, | |
2715 | { 0.93806546000201219, -0.099999999999999978, 0.30000000000000004, | |
2716 | 0.87266462599716477, 0.0 }, | |
2717 | { 1.1573218723395986, -0.099999999999999978, 0.30000000000000004, | |
2718 | 1.0471975511965976, 0.0 }, | |
2719 | { 1.3897859679542097, -0.099999999999999978, 0.30000000000000004, | |
2720 | 1.2217304763960306, 0.0 }, | |
2721 | { 1.6331009404328622, -0.099999999999999978, 0.30000000000000004, | |
2722 | 1.3962634015954636, 0.0 }, | |
2723 | { 1.8826015946315438, -0.099999999999999978, 0.30000000000000004, | |
2724 | 1.5707963267948966, 0.0 }, | |
2725 | }; | |
2726 | const double toler084 = 2.5000000000000020e-13; | |
7c62b943 BK |
2727 | |
2728 | // Test data for k=-0.099999999999999978, nu=0.40000000000000002. | |
b4688136 ESR |
2729 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
2730 | // max(|f - f_Boost| / |f_Boost|): 3.0338059536914377e-16 | |
2731 | // mean(f - f_Boost): 2.7755575615628914e-17 | |
2732 | // variance(f - f_Boost): 9.5107651574678308e-35 | |
2733 | // stddev(f - f_Boost): 9.7523151904908362e-18 | |
2734 | const testcase_ellint_3<double> | |
2735 | data085[10] = | |
2736 | { | |
2737 | { 0.0000000000000000, -0.099999999999999978, 0.40000000000000002, | |
2738 | 0.0000000000000000, 0.0 }, | |
2739 | { 0.17525152094559704, -0.099999999999999978, 0.40000000000000002, | |
2740 | 0.17453292519943295, 0.0 }, | |
2741 | { 0.35483343742825979, -0.099999999999999978, 0.40000000000000002, | |
2742 | 0.34906585039886590, 0.0 }, | |
2743 | { 0.54314913099505446, -0.099999999999999978, 0.40000000000000002, | |
2744 | 0.52359877559829882, 0.0 }, | |
2745 | { 0.74463962034766862, -0.099999999999999978, 0.40000000000000002, | |
2746 | 0.69813170079773179, 0.0 }, | |
2747 | { 0.96349276837570441, -0.099999999999999978, 0.40000000000000002, | |
2748 | 0.87266462599716477, 0.0 }, | |
2749 | { 1.2029081382746343, -0.099999999999999978, 0.40000000000000002, | |
2750 | 1.0471975511965976, 0.0 }, | |
2751 | { 1.4638022887050806, -0.099999999999999978, 0.40000000000000002, | |
2752 | 1.2217304763960306, 0.0 }, | |
2753 | { 1.7432413830105224, -0.099999999999999978, 0.40000000000000002, | |
2754 | 1.3962634015954636, 0.0 }, | |
2755 | { 2.0336367403076760, -0.099999999999999978, 0.40000000000000002, | |
2756 | 1.5707963267948966, 0.0 }, | |
2757 | }; | |
2758 | const double toler085 = 2.5000000000000020e-13; | |
7c62b943 BK |
2759 | |
2760 | // Test data for k=-0.099999999999999978, nu=0.50000000000000000. | |
b4688136 ESR |
2761 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 |
2762 | // max(|f - f_Boost| / |f_Boost|): 3.9864616042835278e-16 | |
2763 | // mean(f - f_Boost): 1.0547118733938987e-16 | |
2764 | // variance(f - f_Boost): 7.5633408838247182e-32 | |
2765 | // stddev(f - f_Boost): 2.7501528837184157e-16 | |
2766 | const testcase_ellint_3<double> | |
2767 | data086[10] = | |
2768 | { | |
2769 | { 0.0000000000000000, -0.099999999999999978, 0.50000000000000000, | |
2770 | 0.0000000000000000, 0.0 }, | |
2771 | { 0.17543059564292182, -0.099999999999999978, 0.50000000000000000, | |
2772 | 0.17453292519943295, 0.0 }, | |
2773 | { 0.35631088838721664, -0.099999999999999978, 0.50000000000000000, | |
2774 | 0.34906585039886590, 0.0 }, | |
2775 | { 0.54839023346436444, -0.099999999999999978, 0.50000000000000000, | |
2776 | 0.52359877559829882, 0.0 }, | |
2777 | { 0.75790846946088830, -0.099999999999999978, 0.50000000000000000, | |
2778 | 0.69813170079773179, 0.0 }, | |
2779 | { 0.99146713686720678, -0.099999999999999978, 0.50000000000000000, | |
2780 | 0.87266462599716477, 0.0 }, | |
2781 | { 1.2551692247937198, -0.099999999999999978, 0.50000000000000000, | |
2782 | 1.0471975511965976, 0.0 }, | |
2783 | { 1.5524660788146873, -0.099999999999999978, 0.50000000000000000, | |
2784 | 1.2217304763960306, 0.0 }, | |
2785 | { 1.8806578570830670, -0.099999999999999978, 0.50000000000000000, | |
2786 | 1.3962634015954636, 0.0 }, | |
2787 | { 2.2279868912966849, -0.099999999999999978, 0.50000000000000000, | |
2788 | 1.5707963267948966, 0.0 }, | |
2789 | }; | |
2790 | const double toler086 = 2.5000000000000020e-13; | |
2791 | ||
2792 | // Test data for k=-0.099999999999999978, nu=0.60000000000000009. | |
2793 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 | |
2794 | // max(|f - f_Boost| / |f_Boost|): 2.6726146516228014e-16 | |
2795 | // mean(f - f_Boost): -3.6082248300317589e-17 | |
2796 | // variance(f - f_Boost): 1.6073193116120635e-34 | |
2797 | // stddev(f - f_Boost): 1.2678009747638087e-17 | |
2798 | const testcase_ellint_3<double> | |
2799 | data087[10] = | |
2800 | { | |
2801 | { 0.0000000000000000, -0.099999999999999978, 0.60000000000000009, | |
2802 | 0.0000000000000000, 0.0 }, | |
2803 | { 0.17561033003590576, -0.099999999999999978, 0.60000000000000009, | |
2804 | 0.17453292519943295, 0.0 }, | |
2805 | { 0.35781061668171932, -0.099999999999999978, 0.60000000000000009, | |
2806 | 0.34906585039886590, 0.0 }, | |
2807 | { 0.55381585659629196, -0.099999999999999978, 0.60000000000000009, | |
2808 | 0.52359877559829882, 0.0 }, | |
2809 | { 0.77204910484575640, -0.099999999999999978, 0.60000000000000009, | |
2810 | 0.69813170079773179, 0.0 }, | |
2811 | { 1.0224751740393108, -0.099999999999999978, 0.60000000000000009, | |
2812 | 0.87266462599716477, 0.0 }, | |
2813 | { 1.3160230906351114, -0.099999999999999978, 0.60000000000000009, | |
2814 | 1.0471975511965976, 0.0 }, | |
2815 | { 1.6616282844233206, -0.099999999999999978, 0.60000000000000009, | |
2816 | 1.2217304763960306, 0.0 }, | |
2817 | { 2.0592555664850392, -0.099999999999999978, 0.60000000000000009, | |
2818 | 1.3962634015954636, 0.0 }, | |
2819 | { 2.4913004919173822, -0.099999999999999978, 0.60000000000000009, | |
2820 | 1.5707963267948966, 0.0 }, | |
2821 | }; | |
2822 | const double toler087 = 2.5000000000000020e-13; | |
2823 | ||
2824 | // Test data for k=-0.099999999999999978, nu=0.70000000000000007. | |
2825 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 5 | |
2826 | // max(|f - f_Boost| / |f_Boost|): 2.1004074871280821e-16 | |
2827 | // mean(f - f_Boost): 3.3306690738754695e-17 | |
2828 | // variance(f - f_Boost): 1.3695501826753678e-34 | |
2829 | // stddev(f - f_Boost): 1.1702778228589003e-17 | |
2830 | const testcase_ellint_3<double> | |
2831 | data088[10] = | |
2832 | { | |
2833 | { 0.0000000000000000, -0.099999999999999978, 0.70000000000000007, | |
2834 | 0.0000000000000000, 0.0 }, | |
2835 | { 0.17579072847532518, -0.099999999999999978, 0.70000000000000007, | |
2836 | 0.17453292519943295, 0.0 }, | |
2837 | { 0.35933322840606297, -0.099999999999999978, 0.70000000000000007, | |
2838 | 0.34906585039886590, 0.0 }, | |
2839 | { 0.55943788649460324, -0.099999999999999978, 0.70000000000000007, | |
2840 | 0.52359877559829882, 0.0 }, | |
2841 | { 0.78716856504031707, -0.099999999999999978, 0.70000000000000007, | |
2842 | 0.69813170079773179, 0.0 }, | |
2843 | { 1.0571501305617423, -0.099999999999999978, 0.70000000000000007, | |
2844 | 0.87266462599716477, 0.0 }, | |
2845 | { 1.3882948301743525, -0.099999999999999978, 0.70000000000000007, | |
2846 | 1.0471975511965976, 0.0 }, | |
2847 | { 1.8011785680114223, -0.099999999999999978, 0.70000000000000007, | |
2848 | 1.2217304763960306, 0.0 }, | |
2849 | { 2.3057268183616464, -0.099999999999999978, 0.70000000000000007, | |
2850 | 1.3962634015954636, 0.0 }, | |
2851 | { 2.8771910188009739, -0.099999999999999978, 0.70000000000000007, | |
2852 | 1.5707963267948966, 0.0 }, | |
2853 | }; | |
2854 | const double toler088 = 2.5000000000000020e-13; | |
7c62b943 BK |
2855 | |
2856 | // Test data for k=-0.099999999999999978, nu=0.80000000000000004. | |
b4688136 ESR |
2857 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 |
2858 | // max(|f - f_Boost| / |f_Boost|): 3.3133043868392355e-16 | |
2859 | // mean(f - f_Boost): 1.8041124150158794e-16 | |
2860 | // variance(f - f_Boost): 6.1843750436434569e-32 | |
2861 | // stddev(f - f_Boost): 2.4868403735751633e-16 | |
2862 | const testcase_ellint_3<double> | |
2863 | data089[10] = | |
2864 | { | |
2865 | { 0.0000000000000000, -0.099999999999999978, 0.80000000000000004, | |
2866 | 0.0000000000000000, 0.0 }, | |
2867 | { 0.17597179535373417, -0.099999999999999978, 0.80000000000000004, | |
2868 | 0.17453292519943295, 0.0 }, | |
2869 | { 0.36087935387831499, -0.099999999999999978, 0.80000000000000004, | |
2870 | 0.34906585039886590, 0.0 }, | |
2871 | { 0.56526935244526444, -0.099999999999999978, 0.80000000000000004, | |
2872 | 0.52359877559829882, 0.0 }, | |
2873 | { 0.80339402590612397, -0.099999999999999978, 0.80000000000000004, | |
2874 | 0.69813170079773179, 0.0 }, | |
2875 | { 1.0963358646374459, -0.099999999999999978, 0.80000000000000004, | |
2876 | 0.87266462599716477, 0.0 }, | |
2877 | { 1.4763748483246868, -0.099999999999999978, 0.80000000000000004, | |
2878 | 1.0471975511965976, 0.0 }, | |
2879 | { 1.9896610222794102, -0.099999999999999978, 0.80000000000000004, | |
2880 | 1.2217304763960306, 0.0 }, | |
2881 | { 2.6806423920122024, -0.099999999999999978, 0.80000000000000004, | |
2882 | 1.3962634015954636, 0.0 }, | |
2883 | { 3.5246199613295612, -0.099999999999999978, 0.80000000000000004, | |
2884 | 1.5707963267948966, 0.0 }, | |
2885 | }; | |
2886 | const double toler089 = 2.5000000000000020e-13; | |
7c62b943 BK |
2887 | |
2888 | // Test data for k=-0.099999999999999978, nu=0.90000000000000002. | |
b4688136 ESR |
2889 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 |
2890 | // max(|f - f_Boost| / |f_Boost|): 3.5624826890976725e-16 | |
2891 | // mean(f - f_Boost): 2.3314683517128288e-16 | |
2892 | // variance(f - f_Boost): 2.9401198977189756e-31 | |
2893 | // stddev(f - f_Boost): 5.4222872459129045e-16 | |
2894 | const testcase_ellint_3<double> | |
2895 | data090[10] = | |
2896 | { | |
2897 | { 0.0000000000000000, -0.099999999999999978, 0.90000000000000002, | |
2898 | 0.0000000000000000, 0.0 }, | |
2899 | { 0.17615353510599349, -0.099999999999999978, 0.90000000000000002, | |
2900 | 0.17453292519943295, 0.0 }, | |
2901 | { 0.36244964892922371, -0.099999999999999978, 0.90000000000000002, | |
2902 | 0.34906585039886590, 0.0 }, | |
2903 | { 0.57132457590110530, -0.099999999999999978, 0.90000000000000002, | |
2904 | 0.52359877559829882, 0.0 }, | |
2905 | { 0.82087808820385000, -0.099999999999999978, 0.90000000000000002, | |
2906 | 0.69813170079773179, 0.0 }, | |
2907 | { 1.1411894342144451, -0.099999999999999978, 0.90000000000000002, | |
2908 | 0.87266462599716477, 0.0 }, | |
2909 | { 1.5875929286844597, -0.099999999999999978, 0.90000000000000002, | |
2910 | 1.0471975511965976, 0.0 }, | |
2911 | { 2.2678622986596659, -0.099999999999999978, 0.90000000000000002, | |
2912 | 1.2217304763960306, 0.0 }, | |
2913 | { 3.3697528941897903, -0.099999999999999978, 0.90000000000000002, | |
2914 | 1.3962634015954636, 0.0 }, | |
2915 | { 4.9862890417305499, -0.099999999999999978, 0.90000000000000002, | |
2916 | 1.5707963267948966, 0.0 }, | |
2917 | }; | |
2918 | const double toler090 = 2.5000000000000020e-13; | |
7c62b943 BK |
2919 | |
2920 | // Test data for k=0.0000000000000000, nu=0.0000000000000000. | |
b4688136 ESR |
2921 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 7 |
2922 | // max(|f - f_Boost| / |f_Boost|): 2.1203697876423447e-16 | |
2923 | // mean(f - f_Boost): -1.9428902930940238e-17 | |
2924 | // variance(f - f_Boost): 4.6602749271592373e-35 | |
2925 | // stddev(f - f_Boost): 6.8266206333435850e-18 | |
2926 | const testcase_ellint_3<double> | |
2927 | data091[10] = | |
2928 | { | |
2929 | { 0.0000000000000000, 0.0000000000000000, 0.0000000000000000, | |
2930 | 0.0000000000000000, 0.0 }, | |
2931 | { 0.17453292519943295, 0.0000000000000000, 0.0000000000000000, | |
2932 | 0.17453292519943295, 0.0 }, | |
2933 | { 0.34906585039886590, 0.0000000000000000, 0.0000000000000000, | |
2934 | 0.34906585039886590, 0.0 }, | |
2935 | { 0.52359877559829882, 0.0000000000000000, 0.0000000000000000, | |
2936 | 0.52359877559829882, 0.0 }, | |
2937 | { 0.69813170079773179, 0.0000000000000000, 0.0000000000000000, | |
2938 | 0.69813170079773179, 0.0 }, | |
2939 | { 0.87266462599716477, 0.0000000000000000, 0.0000000000000000, | |
2940 | 0.87266462599716477, 0.0 }, | |
2941 | { 1.0471975511965976, 0.0000000000000000, 0.0000000000000000, | |
2942 | 1.0471975511965976, 0.0 }, | |
2943 | { 1.2217304763960306, 0.0000000000000000, 0.0000000000000000, | |
2944 | 1.2217304763960306, 0.0 }, | |
2945 | { 1.3962634015954636, 0.0000000000000000, 0.0000000000000000, | |
2946 | 1.3962634015954636, 0.0 }, | |
2947 | { 1.5707963267948966, 0.0000000000000000, 0.0000000000000000, | |
2948 | 1.5707963267948966, 0.0 }, | |
2949 | }; | |
2950 | const double toler091 = 2.5000000000000020e-13; | |
7c62b943 BK |
2951 | |
2952 | // Test data for k=0.0000000000000000, nu=0.10000000000000001. | |
b4688136 ESR |
2953 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 7 |
2954 | // max(|f - f_Boost| / |f_Boost|): 2.1019052604815601e-16 | |
2955 | // mean(f - f_Boost): 2.7755575615628915e-18 | |
2956 | // variance(f - f_Boost): 9.5107651574678312e-37 | |
2957 | // stddev(f - f_Boost): 9.7523151904908366e-19 | |
2958 | const testcase_ellint_3<double> | |
2959 | data092[10] = | |
2960 | { | |
2961 | { 0.0000000000000000, 0.0000000000000000, 0.10000000000000001, | |
2962 | 0.0000000000000000, 0.0 }, | |
2963 | { 0.17470938780535167, 0.0000000000000000, 0.10000000000000001, | |
2964 | 0.17453292519943295, 0.0 }, | |
2965 | { 0.35045931581655582, 0.0000000000000000, 0.10000000000000001, | |
2966 | 0.34906585039886590, 0.0 }, | |
2967 | { 0.52819841383849875, 0.0000000000000000, 0.10000000000000001, | |
2968 | 0.52359877559829882, 0.0 }, | |
2969 | { 0.70868910807992958, 0.0000000000000000, 0.10000000000000001, | |
2970 | 0.69813170079773179, 0.0 }, | |
2971 | { 0.89241311307249638, 0.0000000000000000, 0.10000000000000001, | |
2972 | 0.87266462599716477, 0.0 }, | |
2973 | { 1.0794871444666669, 0.0000000000000000, 0.10000000000000001, | |
2974 | 1.0471975511965976, 0.0 }, | |
2975 | { 1.2696086247356864, 0.0000000000000000, 0.10000000000000001, | |
2976 | 1.2217304763960306, 0.0 }, | |
2977 | { 1.4620562617494721, 0.0000000000000000, 0.10000000000000001, | |
2978 | 1.3962634015954636, 0.0 }, | |
2979 | { 1.6557647109660167, 0.0000000000000000, 0.10000000000000001, | |
2980 | 1.5707963267948966, 0.0 }, | |
2981 | }; | |
2982 | const double toler092 = 2.5000000000000020e-13; | |
7c62b943 BK |
2983 | |
2984 | // Test data for k=0.0000000000000000, nu=0.20000000000000001. | |
b4688136 ESR |
2985 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 7 |
2986 | // max(|f - f_Boost| / |f_Boost|): 2.0831888697465320e-16 | |
2987 | // mean(f - f_Boost): -1.9428902930940238e-17 | |
2988 | // variance(f - f_Boost): 4.6602749271592373e-35 | |
2989 | // stddev(f - f_Boost): 6.8266206333435850e-18 | |
2990 | const testcase_ellint_3<double> | |
2991 | data093[10] = | |
2992 | { | |
2993 | { 0.0000000000000000, 0.0000000000000000, 0.20000000000000001, | |
2994 | 0.0000000000000000, 0.0 }, | |
2995 | { 0.17488649304197776, 0.0000000000000000, 0.20000000000000001, | |
2996 | 0.17453292519943295, 0.0 }, | |
2997 | { 0.35187284488675424, 0.0000000000000000, 0.20000000000000001, | |
2998 | 0.34906585039886590, 0.0 }, | |
2999 | { 0.53294400750146131, 0.0000000000000000, 0.20000000000000001, | |
3000 | 0.52359877559829882, 0.0 }, | |
3001 | { 0.71982347021822823, 0.0000000000000000, 0.20000000000000001, | |
3002 | 0.69813170079773179, 0.0 }, | |
3003 | { 0.91377311030258745, 0.0000000000000000, 0.20000000000000001, | |
3004 | 0.87266462599716477, 0.0 }, | |
3005 | { 1.1153429007215137, 0.0000000000000000, 0.20000000000000001, | |
3006 | 1.0471975511965976, 0.0 }, | |
3007 | { 1.3241202847784086, 0.0000000000000000, 0.20000000000000001, | |
3008 | 1.2217304763960306, 0.0 }, | |
3009 | { 1.5385854914338242, 0.0000000000000000, 0.20000000000000001, | |
3010 | 1.3962634015954636, 0.0 }, | |
3011 | { 1.7562036827601815, 0.0000000000000000, 0.20000000000000001, | |
3012 | 1.5707963267948966, 0.0 }, | |
3013 | }; | |
3014 | const double toler093 = 2.5000000000000020e-13; | |
3015 | ||
3016 | // Test data for k=0.0000000000000000, nu=0.30000000000000004. | |
3017 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 7 | |
3018 | // max(|f - f_Boost| / |f_Boost|): 2.0642101770923591e-16 | |
3019 | // mean(f - f_Boost): -1.9428902930940238e-17 | |
3020 | // variance(f - f_Boost): 4.6602749271592373e-35 | |
3021 | // stddev(f - f_Boost): 6.8266206333435850e-18 | |
3022 | const testcase_ellint_3<double> | |
3023 | data094[10] = | |
3024 | { | |
3025 | { 0.0000000000000000, 0.0000000000000000, 0.30000000000000004, | |
3026 | 0.0000000000000000, 0.0 }, | |
3027 | { 0.17506424509761404, 0.0000000000000000, 0.30000000000000004, | |
3028 | 0.17453292519943295, 0.0 }, | |
3029 | { 0.35330695794774630, 0.0000000000000000, 0.30000000000000004, | |
3030 | 0.34906585039886590, 0.0 }, | |
3031 | { 0.53784398359522367, 0.0000000000000000, 0.30000000000000004, | |
3032 | 0.52359877559829882, 0.0 }, | |
3033 | { 0.73159289408687844, 0.0000000000000000, 0.30000000000000004, | |
3034 | 0.69813170079773179, 0.0 }, | |
3035 | { 0.93699031797084975, 0.0000000000000000, 0.30000000000000004, | |
3036 | 0.87266462599716477, 0.0 }, | |
3037 | { 1.1555098909390267, 0.0000000000000000, 0.30000000000000004, | |
3038 | 1.0471975511965976, 0.0 }, | |
3039 | { 1.3870184960144325, 0.0000000000000000, 0.30000000000000004, | |
3040 | 1.2217304763960306, 0.0 }, | |
3041 | { 1.6291980835772994, 0.0000000000000000, 0.30000000000000004, | |
3042 | 1.3962634015954636, 0.0 }, | |
3043 | { 1.8774607092226381, 0.0000000000000000, 0.30000000000000004, | |
3044 | 1.5707963267948966, 0.0 }, | |
3045 | }; | |
3046 | const double toler094 = 2.5000000000000020e-13; | |
7c62b943 BK |
3047 | |
3048 | // Test data for k=0.0000000000000000, nu=0.40000000000000002. | |
b4688136 ESR |
3049 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 7 |
3050 | // max(|f - f_Boost| / |f_Boost|): 2.0449580089795878e-16 | |
3051 | // mean(f - f_Boost): -1.9428902930940238e-17 | |
3052 | // variance(f - f_Boost): 4.6602749271592373e-35 | |
3053 | // stddev(f - f_Boost): 6.8266206333435850e-18 | |
3054 | const testcase_ellint_3<double> | |
3055 | data095[10] = | |
3056 | { | |
3057 | { 0.0000000000000000, 0.0000000000000000, 0.40000000000000002, | |
3058 | 0.0000000000000000, 0.0 }, | |
3059 | { 0.17524264820030025, 0.0000000000000000, 0.40000000000000002, | |
3060 | 0.17453292519943295, 0.0 }, | |
3061 | { 0.35476219513871499, 0.0000000000000000, 0.40000000000000002, | |
3062 | 0.34906585039886590, 0.0 }, | |
3063 | { 0.54290749235440094, 0.0000000000000000, 0.40000000000000002, | |
3064 | 0.52359877559829882, 0.0 }, | |
3065 | { 0.74406433757109913, 0.0000000000000000, 0.40000000000000002, | |
3066 | 0.69813170079773179, 0.0 }, | |
3067 | { 0.96236826162553313, 0.0000000000000000, 0.40000000000000002, | |
3068 | 0.87266462599716477, 0.0 }, | |
3069 | { 1.2009785880262487, 0.0000000000000000, 0.40000000000000002, | |
3070 | 1.0471975511965976, 0.0 }, | |
3071 | { 1.4608000106167567, 0.0000000000000000, 0.40000000000000002, | |
3072 | 1.2217304763960306, 0.0 }, | |
3073 | { 1.7389349574753439, 0.0000000000000000, 0.40000000000000002, | |
3074 | 1.3962634015954636, 0.0 }, | |
3075 | { 2.0278893379868057, 0.0000000000000000, 0.40000000000000002, | |
3076 | 1.5707963267948966, 0.0 }, | |
3077 | }; | |
3078 | const double toler095 = 2.5000000000000020e-13; | |
7c62b943 BK |
3079 | |
3080 | // Test data for k=0.0000000000000000, nu=0.50000000000000000. | |
b4688136 ESR |
3081 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 7 |
3082 | // max(|f - f_Boost| / |f_Boost|): 2.0254203825026289e-16 | |
3083 | // mean(f - f_Boost): -1.9428902930940238e-17 | |
3084 | // variance(f - f_Boost): 4.6602749271592373e-35 | |
3085 | // stddev(f - f_Boost): 6.8266206333435850e-18 | |
3086 | const testcase_ellint_3<double> | |
3087 | data096[10] = | |
3088 | { | |
3089 | { 0.0000000000000000, 0.0000000000000000, 0.50000000000000000, | |
3090 | 0.0000000000000000, 0.0 }, | |
3091 | { 0.17542170661831016, 0.0000000000000000, 0.50000000000000000, | |
3092 | 0.17453292519943295, 0.0 }, | |
3093 | { 0.35623911740195419, 0.0000000000000000, 0.50000000000000000, | |
3094 | 0.34906585039886590, 0.0 }, | |
3095 | { 0.54814449099863127, 0.0000000000000000, 0.50000000000000000, | |
3096 | 0.52359877559829882, 0.0 }, | |
3097 | { 0.75731546607718081, 0.0000000000000000, 0.50000000000000000, | |
3098 | 0.69813170079773179, 0.0 }, | |
3099 | { 0.99028751188233310, 0.0000000000000000, 0.50000000000000000, | |
3100 | 0.87266462599716477, 0.0 }, | |
3101 | { 1.2531022857760581, 0.0000000000000000, 0.50000000000000000, | |
3102 | 1.0471975511965976, 0.0 }, | |
3103 | { 1.5491761777615785, 0.0000000000000000, 0.50000000000000000, | |
3104 | 1.2217304763960306, 0.0 }, | |
3105 | { 1.8758359693666533, 0.0000000000000000, 0.50000000000000000, | |
3106 | 1.3962634015954636, 0.0 }, | |
3107 | { 2.2214414690791831, 0.0000000000000000, 0.50000000000000000, | |
3108 | 1.5707963267948966, 0.0 }, | |
3109 | }; | |
3110 | const double toler096 = 2.5000000000000020e-13; | |
3111 | ||
3112 | // Test data for k=0.0000000000000000, nu=0.60000000000000009. | |
3113 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 8 | |
3114 | // max(|f - f_Boost| / |f_Boost|): 2.1742785192400269e-16 | |
3115 | // mean(f - f_Boost): 1.3877787807814457e-17 | |
3116 | // variance(f - f_Boost): 2.3776912893669577e-35 | |
3117 | // stddev(f - f_Boost): 4.8761575952454181e-18 | |
3118 | const testcase_ellint_3<double> | |
3119 | data097[10] = | |
3120 | { | |
3121 | { 0.0000000000000000, 0.0000000000000000, 0.60000000000000009, | |
3122 | 0.0000000000000000, 0.0 }, | |
3123 | { 0.17560142466065651, 0.0000000000000000, 0.60000000000000009, | |
3124 | 0.17453292519943295, 0.0 }, | |
3125 | { 0.35773830754879005, 0.0000000000000000, 0.60000000000000009, | |
3126 | 0.34906585039886590, 0.0 }, | |
3127 | { 0.55356583986445973, 0.0000000000000000, 0.60000000000000009, | |
3128 | 0.52359877559829882, 0.0 }, | |
3129 | { 0.77143701715151514, 0.0000000000000000, 0.60000000000000009, | |
3130 | 0.69813170079773179, 0.0 }, | |
3131 | { 1.0212334940541210, 0.0000000000000000, 0.60000000000000009, | |
3132 | 0.87266462599716477, 0.0 }, | |
3133 | { 1.3137928444460387, 0.0000000000000000, 0.60000000000000009, | |
3134 | 1.0471975511965976, 0.0 }, | |
3135 | { 1.6579755004159076, 0.0000000000000000, 0.60000000000000009, | |
3136 | 1.2217304763960306, 0.0 }, | |
3137 | { 2.0537461418295506, 0.0000000000000000, 0.60000000000000009, | |
3138 | 1.3962634015954636, 0.0 }, | |
3139 | { 2.4836470664490253, 0.0000000000000000, 0.60000000000000009, | |
3140 | 1.5707963267948966, 0.0 }, | |
3141 | }; | |
3142 | const double toler097 = 2.5000000000000020e-13; | |
3143 | ||
3144 | // Test data for k=0.0000000000000000, nu=0.70000000000000007. | |
3145 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 4 | |
3146 | // max(|f - f_Boost| / |f_Boost|): 3.0903019454022601e-16 | |
3147 | // mean(f - f_Boost): -6.9388939039072284e-17 | |
3148 | // variance(f - f_Boost): 5.9442282234173945e-34 | |
3149 | // stddev(f - f_Boost): 2.4380787976227090e-17 | |
3150 | const testcase_ellint_3<double> | |
3151 | data098[10] = | |
3152 | { | |
3153 | { 0.0000000000000000, 0.0000000000000000, 0.70000000000000007, | |
3154 | 0.0000000000000000, 0.0 }, | |
3155 | { 0.17578180667760368, 0.0000000000000000, 0.70000000000000007, | |
3156 | 0.17453292519943295, 0.0 }, | |
3157 | { 0.35926037139410999, 0.0000000000000000, 0.70000000000000007, | |
3158 | 0.34906585039886590, 0.0 }, | |
3159 | { 0.55918341315855080, 0.0000000000000000, 0.70000000000000007, | |
3160 | 0.52359877559829882, 0.0 }, | |
3161 | { 0.78653584856932546, 0.0000000000000000, 0.70000000000000007, | |
3162 | 0.69813170079773179, 0.0 }, | |
3163 | { 1.0558379029273324, 0.0000000000000000, 0.70000000000000007, | |
3164 | 0.87266462599716477, 0.0 }, | |
3165 | { 1.3858662544850615, 0.0000000000000000, 0.70000000000000007, | |
3166 | 1.0471975511965976, 0.0 }, | |
3167 | { 1.7970491170359040, 0.0000000000000000, 0.70000000000000007, | |
3168 | 1.2217304763960306, 0.0 }, | |
3169 | { 2.2992404490153917, 0.0000000000000000, 0.70000000000000007, | |
3170 | 1.3962634015954636, 0.0 }, | |
3171 | { 2.8678686047727382, 0.0000000000000000, 0.70000000000000007, | |
3172 | 1.5707963267948966, 0.0 }, | |
3173 | }; | |
3174 | const double toler098 = 2.5000000000000020e-13; | |
7c62b943 BK |
3175 | |
3176 | // Test data for k=0.0000000000000000, nu=0.80000000000000004. | |
b4688136 ESR |
3177 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
3178 | // max(|f - f_Boost| / |f_Boost|): 2.2373744057922657e-16 | |
3179 | // mean(f - f_Boost): 1.0269562977782698e-16 | |
3180 | // variance(f - f_Boost): 1.4388836606733082e-32 | |
3181 | // stddev(f - f_Boost): 1.1995347684303728e-16 | |
3182 | const testcase_ellint_3<double> | |
3183 | data099[10] = | |
3184 | { | |
3185 | { 0.0000000000000000, 0.0000000000000000, 0.80000000000000004, | |
3186 | 0.0000000000000000, 0.0 }, | |
3187 | { 0.17596285706118869, 0.0000000000000000, 0.80000000000000004, | |
3188 | 0.17453292519943295, 0.0 }, | |
3189 | { 0.36080593896484231, 0.0000000000000000, 0.80000000000000004, | |
3190 | 0.34906585039886590, 0.0 }, | |
3191 | { 0.56501022706967863, 0.0000000000000000, 0.80000000000000004, | |
3192 | 0.52359877559829882, 0.0 }, | |
3193 | { 0.80273891984116930, 0.0000000000000000, 0.80000000000000004, | |
3194 | 0.69813170079773179, 0.0 }, | |
3195 | { 1.0949425007763358, 0.0000000000000000, 0.80000000000000004, | |
3196 | 0.87266462599716477, 0.0 }, | |
3197 | { 1.4736985692253419, 0.0000000000000000, 0.80000000000000004, | |
3198 | 1.0471975511965976, 0.0 }, | |
3199 | { 1.9848676587180696, 0.0000000000000000, 0.80000000000000004, | |
3200 | 1.2217304763960306, 0.0 }, | |
3201 | { 2.6726187823193546, 0.0000000000000000, 0.80000000000000004, | |
3202 | 1.3962634015954636, 0.0 }, | |
3203 | { 3.5124073655203634, 0.0000000000000000, 0.80000000000000004, | |
3204 | 1.5707963267948966, 0.0 }, | |
3205 | }; | |
3206 | const double toler099 = 2.5000000000000020e-13; | |
7c62b943 BK |
3207 | |
3208 | // Test data for k=0.0000000000000000, nu=0.90000000000000002. | |
b4688136 ESR |
3209 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 8 |
3210 | // max(|f - f_Boost| / |f_Boost|): 6.6108624815885066e-16 | |
3211 | // mean(f - f_Boost): 2.1371793224034264e-16 | |
3212 | // variance(f - f_Boost): 5.6389326618626776e-33 | |
3213 | // stddev(f - f_Boost): 7.5092826966779442e-17 | |
3214 | const testcase_ellint_3<double> | |
3215 | data100[10] = | |
3216 | { | |
3217 | { 0.0000000000000000, 0.0000000000000000, 0.90000000000000002, | |
3218 | 0.0000000000000000, 0.0 }, | |
3219 | { 0.17614458024574997, 0.0000000000000000, 0.90000000000000002, | |
3220 | 0.17453292519943295, 0.0 }, | |
3221 | { 0.36237566578821978, 0.0000000000000000, 0.90000000000000002, | |
3222 | 0.34906585039886590, 0.0 }, | |
3223 | { 0.57106058859196640, 0.0000000000000000, 0.90000000000000002, | |
3224 | 0.52359877559829882, 0.0 }, | |
3225 | { 0.82019857015755915, 0.0000000000000000, 0.90000000000000002, | |
3226 | 0.69813170079773179, 0.0 }, | |
3227 | { 1.1397014388908147, 0.0000000000000000, 0.90000000000000002, | |
3228 | 0.87266462599716477, 0.0 }, | |
3229 | { 1.5845952415154960, 0.0000000000000000, 0.90000000000000002, | |
3230 | 1.0471975511965976, 0.0 }, | |
3231 | { 2.2620531413370775, 0.0000000000000000, 0.90000000000000002, | |
3232 | 1.2217304763960306, 0.0 }, | |
3233 | { 3.3587842061975066, 0.0000000000000000, 0.90000000000000002, | |
3234 | 1.3962634015954636, 0.0 }, | |
3235 | { 4.9672941328980507, 0.0000000000000000, 0.90000000000000002, | |
3236 | 1.5707963267948966, 0.0 }, | |
3237 | }; | |
3238 | const double toler100 = 2.5000000000000020e-13; | |
7c62b943 BK |
3239 | |
3240 | // Test data for k=0.10000000000000009, nu=0.0000000000000000. | |
b4688136 ESR |
3241 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 8 |
3242 | // max(|f - f_Boost| / |f_Boost|): 3.1735566504509645e-16 | |
3243 | // mean(f - f_Boost): -5.8286708792820721e-17 | |
3244 | // variance(f - f_Boost): 4.1942474344433133e-34 | |
3245 | // stddev(f - f_Boost): 2.0479861900030756e-17 | |
3246 | const testcase_ellint_3<double> | |
3247 | data101[10] = | |
3248 | { | |
3249 | { 0.0000000000000000, 0.10000000000000009, 0.0000000000000000, | |
3250 | 0.0000000000000000, 0.0 }, | |
3251 | { 0.17454173353063662, 0.10000000000000009, 0.0000000000000000, | |
3252 | 0.17453292519943295, 0.0 }, | |
3253 | { 0.34913506721468096, 0.10000000000000009, 0.0000000000000000, | |
3254 | 0.34906585039886590, 0.0 }, | |
3255 | { 0.52382550016538953, 0.10000000000000009, 0.0000000000000000, | |
3256 | 0.52359877559829882, 0.0 }, | |
3257 | { 0.69864700854177020, 0.10000000000000009, 0.0000000000000000, | |
3258 | 0.69813170079773179, 0.0 }, | |
3259 | { 0.87361792586964859, 0.10000000000000009, 0.0000000000000000, | |
3260 | 0.87266462599716477, 0.0 }, | |
3261 | { 1.0487386319621685, 0.10000000000000009, 0.0000000000000000, | |
3262 | 1.0471975511965976, 0.0 }, | |
3263 | { 1.2239913752078759, 0.10000000000000009, 0.0000000000000000, | |
3264 | 1.2217304763960306, 0.0 }, | |
3265 | { 1.3993423113684051, 0.10000000000000009, 0.0000000000000000, | |
3266 | 1.3962634015954636, 0.0 }, | |
3267 | { 1.5747455615173560, 0.10000000000000009, 0.0000000000000000, | |
3268 | 1.5707963267948966, 0.0 }, | |
3269 | }; | |
3270 | const double toler101 = 2.5000000000000020e-13; | |
7c62b943 BK |
3271 | |
3272 | // Test data for k=0.10000000000000009, nu=0.10000000000000001. | |
b4688136 ESR |
3273 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 8 |
3274 | // max(|f - f_Boost| / |f_Boost|): 3.0305747373482148e-16 | |
3275 | // mean(f - f_Boost): -3.0531133177191807e-17 | |
3276 | // variance(f - f_Boost): 1.1508025840536076e-34 | |
3277 | // stddev(f - f_Boost): 1.0727546709539920e-17 | |
3278 | const testcase_ellint_3<double> | |
3279 | data102[10] = | |
3280 | { | |
3281 | { 0.0000000000000000, 0.10000000000000009, 0.10000000000000001, | |
3282 | 0.0000000000000000, 0.0 }, | |
3283 | { 0.17471821213559732, 0.10000000000000009, 0.10000000000000001, | |
3284 | 0.17453292519943295, 0.0 }, | |
3285 | { 0.35052902610011138, 0.10000000000000009, 0.10000000000000001, | |
3286 | 0.34906585039886590, 0.0 }, | |
3287 | { 0.52842865990255727, 0.10000000000000009, 0.10000000000000001, | |
3288 | 0.52359877559829882, 0.0 }, | |
3289 | { 0.70921799731166713, 0.10000000000000009, 0.10000000000000001, | |
3290 | 0.69813170079773179, 0.0 }, | |
3291 | { 0.89340330535868662, 0.10000000000000009, 0.10000000000000001, | |
3292 | 0.87266462599716477, 0.0 }, | |
3293 | { 1.0811075784236857, 0.10000000000000009, 0.10000000000000001, | |
3294 | 1.0471975511965976, 0.0 }, | |
3295 | { 1.2720133232666426, 0.10000000000000009, 0.10000000000000001, | |
3296 | 1.2217304763960306, 0.0 }, | |
3297 | { 1.4653630031861395, 0.10000000000000009, 0.10000000000000001, | |
3298 | 1.3962634015954636, 0.0 }, | |
3299 | { 1.6600374067558428, 0.10000000000000009, 0.10000000000000001, | |
3300 | 1.5707963267948966, 0.0 }, | |
3301 | }; | |
3302 | const double toler102 = 2.5000000000000020e-13; | |
7c62b943 BK |
3303 | |
3304 | // Test data for k=0.10000000000000009, nu=0.20000000000000001. | |
b4688136 ESR |
3305 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 7 |
3306 | // max(|f - f_Boost| / |f_Boost|): 1.6736714959992433e-16 | |
3307 | // mean(f - f_Boost): 5.5511151231257830e-18 | |
3308 | // variance(f - f_Boost): 3.8043060629871325e-36 | |
3309 | // stddev(f - f_Boost): 1.9504630380981673e-18 | |
3310 | const testcase_ellint_3<double> | |
3311 | data103[10] = | |
3312 | { | |
3313 | { 0.0000000000000000, 0.10000000000000009, 0.20000000000000001, | |
3314 | 0.0000000000000000, 0.0 }, | |
3315 | { 0.17489533344059083, 0.10000000000000009, 0.20000000000000001, | |
3316 | 0.17453292519943295, 0.0 }, | |
3317 | { 0.35194305707815038, 0.10000000000000009, 0.20000000000000001, | |
3318 | 0.34906585039886590, 0.0 }, | |
3319 | { 0.53317790741512527, 0.10000000000000009, 0.20000000000000001, | |
3320 | 0.52359877559829882, 0.0 }, | |
3321 | { 0.72036681615081222, 0.10000000000000009, 0.20000000000000001, | |
3322 | 0.69813170079773179, 0.0 }, | |
3323 | { 0.91480372268244303, 0.10000000000000009, 0.20000000000000001, | |
3324 | 0.87266462599716477, 0.0 }, | |
3325 | { 1.1170528708071514, 0.10000000000000009, 0.20000000000000001, | |
3326 | 1.0471975511965976, 0.0 }, | |
3327 | { 1.3266916802718358, 0.10000000000000009, 0.20000000000000001, | |
3328 | 1.2217304763960306, 0.0 }, | |
3329 | { 1.5421622241831547, 0.10000000000000009, 0.20000000000000001, | |
3330 | 1.3962634015954636, 0.0 }, | |
3331 | { 1.7608656115083421, 0.10000000000000009, 0.20000000000000001, | |
3332 | 1.5707963267948966, 0.0 }, | |
3333 | }; | |
3334 | const double toler103 = 2.5000000000000020e-13; | |
3335 | ||
3336 | // Test data for k=0.10000000000000009, nu=0.30000000000000004. | |
3337 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 6 | |
3338 | // max(|f - f_Boost| / |f_Boost|): 1.9186071760326645e-16 | |
3339 | // mean(f - f_Boost): -1.6653345369377347e-17 | |
3340 | // variance(f - f_Boost): 3.4238754566884194e-35 | |
3341 | // stddev(f - f_Boost): 5.8513891142945016e-18 | |
3342 | const testcase_ellint_3<double> | |
3343 | data104[10] = | |
3344 | { | |
3345 | { 0.0000000000000000, 0.10000000000000009, 0.30000000000000004, | |
3346 | 0.0000000000000000, 0.0 }, | |
3347 | { 0.17507310163441189, 0.10000000000000009, 0.30000000000000004, | |
3348 | 0.17453292519943295, 0.0 }, | |
3349 | { 0.35337768072524217, 0.10000000000000009, 0.30000000000000004, | |
3350 | 0.34906585039886590, 0.0 }, | |
3351 | { 0.53808167801629170, 0.10000000000000009, 0.30000000000000004, | |
3352 | 0.52359877559829882, 0.0 }, | |
3353 | { 0.73215166755955019, 0.10000000000000009, 0.30000000000000004, | |
3354 | 0.69813170079773179, 0.0 }, | |
3355 | { 0.93806546000201219, 0.10000000000000009, 0.30000000000000004, | |
3356 | 0.87266462599716477, 0.0 }, | |
3357 | { 1.1573218723395986, 0.10000000000000009, 0.30000000000000004, | |
3358 | 1.0471975511965976, 0.0 }, | |
3359 | { 1.3897859679542097, 0.10000000000000009, 0.30000000000000004, | |
3360 | 1.2217304763960306, 0.0 }, | |
3361 | { 1.6331009404328622, 0.10000000000000009, 0.30000000000000004, | |
3362 | 1.3962634015954636, 0.0 }, | |
3363 | { 1.8826015946315438, 0.10000000000000009, 0.30000000000000004, | |
3364 | 1.5707963267948966, 0.0 }, | |
3365 | }; | |
3366 | const double toler104 = 2.5000000000000020e-13; | |
7c62b943 BK |
3367 | |
3368 | // Test data for k=0.10000000000000009, nu=0.40000000000000002. | |
b4688136 ESR |
3369 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
3370 | // max(|f - f_Boost| / |f_Boost|): 3.0338059536914377e-16 | |
3371 | // mean(f - f_Boost): 2.7755575615628914e-17 | |
3372 | // variance(f - f_Boost): 9.5107651574678308e-35 | |
3373 | // stddev(f - f_Boost): 9.7523151904908362e-18 | |
3374 | const testcase_ellint_3<double> | |
3375 | data105[10] = | |
3376 | { | |
3377 | { 0.0000000000000000, 0.10000000000000009, 0.40000000000000002, | |
3378 | 0.0000000000000000, 0.0 }, | |
3379 | { 0.17525152094559704, 0.10000000000000009, 0.40000000000000002, | |
3380 | 0.17453292519943295, 0.0 }, | |
3381 | { 0.35483343742825979, 0.10000000000000009, 0.40000000000000002, | |
3382 | 0.34906585039886590, 0.0 }, | |
3383 | { 0.54314913099505446, 0.10000000000000009, 0.40000000000000002, | |
3384 | 0.52359877559829882, 0.0 }, | |
3385 | { 0.74463962034766862, 0.10000000000000009, 0.40000000000000002, | |
3386 | 0.69813170079773179, 0.0 }, | |
3387 | { 0.96349276837570441, 0.10000000000000009, 0.40000000000000002, | |
3388 | 0.87266462599716477, 0.0 }, | |
3389 | { 1.2029081382746343, 0.10000000000000009, 0.40000000000000002, | |
3390 | 1.0471975511965976, 0.0 }, | |
3391 | { 1.4638022887050806, 0.10000000000000009, 0.40000000000000002, | |
3392 | 1.2217304763960306, 0.0 }, | |
3393 | { 1.7432413830105224, 0.10000000000000009, 0.40000000000000002, | |
3394 | 1.3962634015954636, 0.0 }, | |
3395 | { 2.0336367403076760, 0.10000000000000009, 0.40000000000000002, | |
3396 | 1.5707963267948966, 0.0 }, | |
3397 | }; | |
3398 | const double toler105 = 2.5000000000000020e-13; | |
7c62b943 BK |
3399 | |
3400 | // Test data for k=0.10000000000000009, nu=0.50000000000000000. | |
b4688136 ESR |
3401 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 |
3402 | // max(|f - f_Boost| / |f_Boost|): 3.9864616042835278e-16 | |
3403 | // mean(f - f_Boost): 9.4368957093138303e-17 | |
3404 | // variance(f - f_Boost): 7.7794254682023874e-32 | |
3405 | // stddev(f - f_Boost): 2.7891621444803792e-16 | |
3406 | const testcase_ellint_3<double> | |
3407 | data106[10] = | |
3408 | { | |
3409 | { 0.0000000000000000, 0.10000000000000009, 0.50000000000000000, | |
3410 | 0.0000000000000000, 0.0 }, | |
3411 | { 0.17543059564292182, 0.10000000000000009, 0.50000000000000000, | |
3412 | 0.17453292519943295, 0.0 }, | |
3413 | { 0.35631088838721664, 0.10000000000000009, 0.50000000000000000, | |
3414 | 0.34906585039886590, 0.0 }, | |
3415 | { 0.54839023346436455, 0.10000000000000009, 0.50000000000000000, | |
3416 | 0.52359877559829882, 0.0 }, | |
3417 | { 0.75790846946088830, 0.10000000000000009, 0.50000000000000000, | |
3418 | 0.69813170079773179, 0.0 }, | |
3419 | { 0.99146713686720678, 0.10000000000000009, 0.50000000000000000, | |
3420 | 0.87266462599716477, 0.0 }, | |
3421 | { 1.2551692247937198, 0.10000000000000009, 0.50000000000000000, | |
3422 | 1.0471975511965976, 0.0 }, | |
3423 | { 1.5524660788146873, 0.10000000000000009, 0.50000000000000000, | |
3424 | 1.2217304763960306, 0.0 }, | |
3425 | { 1.8806578570830670, 0.10000000000000009, 0.50000000000000000, | |
3426 | 1.3962634015954636, 0.0 }, | |
3427 | { 2.2279868912966849, 0.10000000000000009, 0.50000000000000000, | |
3428 | 1.5707963267948966, 0.0 }, | |
3429 | }; | |
3430 | const double toler106 = 2.5000000000000020e-13; | |
3431 | ||
3432 | // Test data for k=0.10000000000000009, nu=0.60000000000000009. | |
3433 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 | |
3434 | // max(|f - f_Boost| / |f_Boost|): 2.6726146516228014e-16 | |
3435 | // mean(f - f_Boost): -3.6082248300317589e-17 | |
3436 | // variance(f - f_Boost): 1.6073193116120635e-34 | |
3437 | // stddev(f - f_Boost): 1.2678009747638087e-17 | |
3438 | const testcase_ellint_3<double> | |
3439 | data107[10] = | |
3440 | { | |
3441 | { 0.0000000000000000, 0.10000000000000009, 0.60000000000000009, | |
3442 | 0.0000000000000000, 0.0 }, | |
3443 | { 0.17561033003590576, 0.10000000000000009, 0.60000000000000009, | |
3444 | 0.17453292519943295, 0.0 }, | |
3445 | { 0.35781061668171932, 0.10000000000000009, 0.60000000000000009, | |
3446 | 0.34906585039886590, 0.0 }, | |
3447 | { 0.55381585659629196, 0.10000000000000009, 0.60000000000000009, | |
3448 | 0.52359877559829882, 0.0 }, | |
3449 | { 0.77204910484575640, 0.10000000000000009, 0.60000000000000009, | |
3450 | 0.69813170079773179, 0.0 }, | |
3451 | { 1.0224751740393108, 0.10000000000000009, 0.60000000000000009, | |
3452 | 0.87266462599716477, 0.0 }, | |
3453 | { 1.3160230906351114, 0.10000000000000009, 0.60000000000000009, | |
3454 | 1.0471975511965976, 0.0 }, | |
3455 | { 1.6616282844233206, 0.10000000000000009, 0.60000000000000009, | |
3456 | 1.2217304763960306, 0.0 }, | |
3457 | { 2.0592555664850392, 0.10000000000000009, 0.60000000000000009, | |
3458 | 1.3962634015954636, 0.0 }, | |
3459 | { 2.4913004919173822, 0.10000000000000009, 0.60000000000000009, | |
3460 | 1.5707963267948966, 0.0 }, | |
3461 | }; | |
3462 | const double toler107 = 2.5000000000000020e-13; | |
3463 | ||
3464 | // Test data for k=0.10000000000000009, nu=0.70000000000000007. | |
3465 | // max(|f - f_Boost|): 2.2204460492503131e-16 at index 5 | |
3466 | // max(|f - f_Boost| / |f_Boost|): 2.1004074871280821e-16 | |
3467 | // mean(f - f_Boost): 3.3306690738754695e-17 | |
3468 | // variance(f - f_Boost): 1.3695501826753678e-34 | |
3469 | // stddev(f - f_Boost): 1.1702778228589003e-17 | |
3470 | const testcase_ellint_3<double> | |
3471 | data108[10] = | |
3472 | { | |
3473 | { 0.0000000000000000, 0.10000000000000009, 0.70000000000000007, | |
3474 | 0.0000000000000000, 0.0 }, | |
3475 | { 0.17579072847532518, 0.10000000000000009, 0.70000000000000007, | |
3476 | 0.17453292519943295, 0.0 }, | |
3477 | { 0.35933322840606297, 0.10000000000000009, 0.70000000000000007, | |
3478 | 0.34906585039886590, 0.0 }, | |
3479 | { 0.55943788649460324, 0.10000000000000009, 0.70000000000000007, | |
3480 | 0.52359877559829882, 0.0 }, | |
3481 | { 0.78716856504031707, 0.10000000000000009, 0.70000000000000007, | |
3482 | 0.69813170079773179, 0.0 }, | |
3483 | { 1.0571501305617423, 0.10000000000000009, 0.70000000000000007, | |
3484 | 0.87266462599716477, 0.0 }, | |
3485 | { 1.3882948301743525, 0.10000000000000009, 0.70000000000000007, | |
3486 | 1.0471975511965976, 0.0 }, | |
3487 | { 1.8011785680114223, 0.10000000000000009, 0.70000000000000007, | |
3488 | 1.2217304763960306, 0.0 }, | |
3489 | { 2.3057268183616464, 0.10000000000000009, 0.70000000000000007, | |
3490 | 1.3962634015954636, 0.0 }, | |
3491 | { 2.8771910188009739, 0.10000000000000009, 0.70000000000000007, | |
3492 | 1.5707963267948966, 0.0 }, | |
3493 | }; | |
3494 | const double toler108 = 2.5000000000000020e-13; | |
7c62b943 BK |
3495 | |
3496 | // Test data for k=0.10000000000000009, nu=0.80000000000000004. | |
b4688136 ESR |
3497 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 |
3498 | // max(|f - f_Boost| / |f_Boost|): 3.3133043868392355e-16 | |
3499 | // mean(f - f_Boost): 1.8041124150158794e-16 | |
3500 | // variance(f - f_Boost): 6.1843750436434569e-32 | |
3501 | // stddev(f - f_Boost): 2.4868403735751633e-16 | |
3502 | const testcase_ellint_3<double> | |
3503 | data109[10] = | |
3504 | { | |
3505 | { 0.0000000000000000, 0.10000000000000009, 0.80000000000000004, | |
3506 | 0.0000000000000000, 0.0 }, | |
3507 | { 0.17597179535373417, 0.10000000000000009, 0.80000000000000004, | |
3508 | 0.17453292519943295, 0.0 }, | |
3509 | { 0.36087935387831499, 0.10000000000000009, 0.80000000000000004, | |
3510 | 0.34906585039886590, 0.0 }, | |
3511 | { 0.56526935244526444, 0.10000000000000009, 0.80000000000000004, | |
3512 | 0.52359877559829882, 0.0 }, | |
3513 | { 0.80339402590612397, 0.10000000000000009, 0.80000000000000004, | |
3514 | 0.69813170079773179, 0.0 }, | |
3515 | { 1.0963358646374459, 0.10000000000000009, 0.80000000000000004, | |
3516 | 0.87266462599716477, 0.0 }, | |
3517 | { 1.4763748483246868, 0.10000000000000009, 0.80000000000000004, | |
3518 | 1.0471975511965976, 0.0 }, | |
3519 | { 1.9896610222794102, 0.10000000000000009, 0.80000000000000004, | |
3520 | 1.2217304763960306, 0.0 }, | |
3521 | { 2.6806423920122024, 0.10000000000000009, 0.80000000000000004, | |
3522 | 1.3962634015954636, 0.0 }, | |
3523 | { 3.5246199613295612, 0.10000000000000009, 0.80000000000000004, | |
3524 | 1.5707963267948966, 0.0 }, | |
3525 | }; | |
3526 | const double toler109 = 2.5000000000000020e-13; | |
7c62b943 BK |
3527 | |
3528 | // Test data for k=0.10000000000000009, nu=0.90000000000000002. | |
b4688136 ESR |
3529 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 |
3530 | // max(|f - f_Boost| / |f_Boost|): 3.5624826890976725e-16 | |
3531 | // mean(f - f_Boost): 2.3314683517128288e-16 | |
3532 | // variance(f - f_Boost): 2.9401198977189756e-31 | |
3533 | // stddev(f - f_Boost): 5.4222872459129045e-16 | |
3534 | const testcase_ellint_3<double> | |
3535 | data110[10] = | |
3536 | { | |
3537 | { 0.0000000000000000, 0.10000000000000009, 0.90000000000000002, | |
3538 | 0.0000000000000000, 0.0 }, | |
3539 | { 0.17615353510599349, 0.10000000000000009, 0.90000000000000002, | |
3540 | 0.17453292519943295, 0.0 }, | |
3541 | { 0.36244964892922371, 0.10000000000000009, 0.90000000000000002, | |
3542 | 0.34906585039886590, 0.0 }, | |
3543 | { 0.57132457590110530, 0.10000000000000009, 0.90000000000000002, | |
3544 | 0.52359877559829882, 0.0 }, | |
3545 | { 0.82087808820385000, 0.10000000000000009, 0.90000000000000002, | |
3546 | 0.69813170079773179, 0.0 }, | |
3547 | { 1.1411894342144451, 0.10000000000000009, 0.90000000000000002, | |
3548 | 0.87266462599716477, 0.0 }, | |
3549 | { 1.5875929286844597, 0.10000000000000009, 0.90000000000000002, | |
3550 | 1.0471975511965976, 0.0 }, | |
3551 | { 2.2678622986596659, 0.10000000000000009, 0.90000000000000002, | |
3552 | 1.2217304763960306, 0.0 }, | |
3553 | { 3.3697528941897903, 0.10000000000000009, 0.90000000000000002, | |
3554 | 1.3962634015954636, 0.0 }, | |
3555 | { 4.9862890417305499, 0.10000000000000009, 0.90000000000000002, | |
3556 | 1.5707963267948966, 0.0 }, | |
3557 | }; | |
3558 | const double toler110 = 2.5000000000000020e-13; | |
3559 | ||
3560 | // Test data for k=0.20000000000000018, nu=0.0000000000000000. | |
3561 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 6 | |
3562 | // max(|f - f_Boost| / |f_Boost|): 4.2156475739151676e-16 | |
3563 | // mean(f - f_Boost): -5.2735593669694933e-17 | |
3564 | // variance(f - f_Boost): 3.0473442641042680e-32 | |
3565 | // stddev(f - f_Boost): 1.7456644190978597e-16 | |
3566 | const testcase_ellint_3<double> | |
3567 | data111[10] = | |
3568 | { | |
3569 | { 0.0000000000000000, 0.20000000000000018, 0.0000000000000000, | |
3570 | 0.0000000000000000, 0.0 }, | |
3571 | { 0.17456817290292806, 0.20000000000000018, 0.0000000000000000, | |
3572 | 0.17453292519943295, 0.0 }, | |
3573 | { 0.34934315932086796, 0.20000000000000018, 0.0000000000000000, | |
3574 | 0.34906585039886590, 0.0 }, | |
3575 | { 0.52450880529443988, 0.20000000000000018, 0.0000000000000000, | |
3576 | 0.52359877559829882, 0.0 }, | |
3577 | { 0.70020491009844887, 0.20000000000000018, 0.0000000000000000, | |
3578 | 0.69813170079773179, 0.0 }, | |
3579 | { 0.87651006649967977, 0.20000000000000018, 0.0000000000000000, | |
3580 | 0.87266462599716477, 0.0 }, | |
3581 | { 1.0534305870298994, 0.20000000000000018, 0.0000000000000000, | |
3582 | 1.0471975511965976, 0.0 }, | |
3583 | { 1.2308975521670789, 0.20000000000000018, 0.0000000000000000, | |
3584 | 1.2217304763960306, 0.0 }, | |
3585 | { 1.4087733584990738, 0.20000000000000018, 0.0000000000000000, | |
3586 | 1.3962634015954636, 0.0 }, | |
3587 | { 1.5868678474541662, 0.20000000000000018, 0.0000000000000000, | |
3588 | 1.5707963267948966, 0.0 }, | |
3589 | }; | |
3590 | const double toler111 = 2.5000000000000020e-13; | |
3591 | ||
3592 | // Test data for k=0.20000000000000018, nu=0.10000000000000001. | |
3593 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 6 | |
3594 | // max(|f - f_Boost| / |f_Boost|): 4.0890622182605400e-16 | |
3595 | // mean(f - f_Boost): -3.8857805861880476e-17 | |
3596 | // variance(f - f_Boost): 2.8794792590749608e-32 | |
3597 | // stddev(f - f_Boost): 1.6969028431454054e-16 | |
3598 | const testcase_ellint_3<double> | |
3599 | data112[10] = | |
3600 | { | |
3601 | { 0.0000000000000000, 0.20000000000000018, 0.10000000000000001, | |
3602 | 0.0000000000000000, 0.0 }, | |
3603 | { 0.17474469953608965, 0.20000000000000018, 0.10000000000000001, | |
3604 | 0.17453292519943295, 0.0 }, | |
3605 | { 0.35073860234984255, 0.20000000000000018, 0.10000000000000001, | |
3606 | 0.34906585039886590, 0.0 }, | |
3607 | { 0.52912258712951521, 0.20000000000000018, 0.10000000000000001, | |
3608 | 0.52359877559829882, 0.0 }, | |
3609 | { 0.71081701558898069, 0.20000000000000018, 0.10000000000000001, | |
3610 | 0.69813170079773179, 0.0 }, | |
3611 | { 0.89640758521169384, 0.20000000000000018, 0.10000000000000001, | |
3612 | 0.87266462599716477, 0.0 }, | |
3613 | { 1.0860417038089853, 0.20000000000000018, 0.10000000000000001, | |
3614 | 1.0471975511965976, 0.0 }, | |
3615 | { 1.2793599255528623, 0.20000000000000018, 0.10000000000000001, | |
3616 | 1.2217304763960306, 0.0 }, | |
3617 | { 1.4754938544089076, 0.20000000000000018, 0.10000000000000001, | |
3618 | 1.3962634015954636, 0.0 }, | |
3619 | { 1.6731552050562593, 0.20000000000000018, 0.10000000000000001, | |
3620 | 1.5707963267948966, 0.0 }, | |
3621 | }; | |
3622 | const double toler112 = 2.5000000000000020e-13; | |
3623 | ||
3624 | // Test data for k=0.20000000000000018, nu=0.20000000000000001. | |
3625 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 6 | |
3626 | // max(|f - f_Boost| / |f_Boost|): 3.9570963716579749e-16 | |
3627 | // mean(f - f_Boost): -5.8286708792820721e-17 | |
3628 | // variance(f - f_Boost): 3.1158217732380362e-32 | |
3629 | // stddev(f - f_Boost): 1.7651690494788412e-16 | |
3630 | const testcase_ellint_3<double> | |
3631 | data113[10] = | |
3632 | { | |
3633 | { 0.0000000000000000, 0.20000000000000018, 0.20000000000000001, | |
3634 | 0.0000000000000000, 0.0 }, | |
3635 | { 0.17492186907740698, 0.20000000000000018, 0.20000000000000001, | |
3636 | 0.17453292519943295, 0.0 }, | |
3637 | { 0.35215414286134267, 0.20000000000000018, 0.20000000000000001, | |
3638 | 0.34906585039886590, 0.0 }, | |
3639 | { 0.53388285615182440, 0.20000000000000018, 0.20000000000000001, | |
3640 | 0.52359877559829882, 0.0 }, | |
3641 | { 0.72200960282688265, 0.20000000000000018, 0.20000000000000001, | |
3642 | 0.69813170079773179, 0.0 }, | |
3643 | { 0.91793087614428526, 0.20000000000000018, 0.20000000000000001, | |
3644 | 0.87266462599716477, 0.0 }, | |
3645 | { 1.1222602841587976, 0.20000000000000018, 0.20000000000000001, | |
3646 | 1.0471975511965976, 0.0 }, | |
3647 | { 1.3345489407496247, 0.20000000000000018, 0.20000000000000001, | |
3648 | 1.2217304763960306, 0.0 }, | |
3649 | { 1.5531225705475502, 0.20000000000000018, 0.20000000000000001, | |
3650 | 1.3962634015954636, 0.0 }, | |
3651 | { 1.7751816279738935, 0.20000000000000018, 0.20000000000000001, | |
3652 | 1.5707963267948966, 0.0 }, | |
3653 | }; | |
3654 | const double toler113 = 2.5000000000000020e-13; | |
3655 | ||
3656 | // Test data for k=0.20000000000000018, nu=0.30000000000000004. | |
3657 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
3658 | // max(|f - f_Boost| / |f_Boost|): 4.6785817924053817e-16 | |
3659 | // mean(f - f_Boost): -1.1102230246251566e-17 | |
3660 | // variance(f - f_Boost): 9.9840208317034302e-32 | |
3661 | // stddev(f - f_Boost): 3.1597501217190311e-16 | |
3662 | const testcase_ellint_3<double> | |
3663 | data114[10] = | |
3664 | { | |
3665 | { 0.0000000000000000, 0.20000000000000018, 0.30000000000000004, | |
3666 | 0.0000000000000000, 0.0 }, | |
3667 | { 0.17509968571715159, 0.20000000000000018, 0.30000000000000004, | |
3668 | 0.17453292519943295, 0.0 }, | |
3669 | { 0.35359030214835629, 0.20000000000000018, 0.30000000000000004, | |
3670 | 0.34906585039886590, 0.0 }, | |
3671 | { 0.53879807274537084, 0.20000000000000018, 0.30000000000000004, | |
3672 | 0.52359877559829882, 0.0 }, | |
3673 | { 0.73384116418059731, 0.20000000000000018, 0.30000000000000004, | |
3674 | 0.69813170079773179, 0.0 }, | |
3675 | { 0.94132799329524031, 0.20000000000000018, 0.30000000000000004, | |
3676 | 0.87266462599716477, 0.0 }, | |
3677 | { 1.1628407021801439, 0.20000000000000018, 0.30000000000000004, | |
3678 | 1.0471975511965976, 0.0 }, | |
3679 | { 1.3982440216739438, 0.20000000000000018, 0.30000000000000004, | |
3680 | 1.2217304763960306, 0.0 }, | |
3681 | { 1.6450634983653640, 0.20000000000000018, 0.30000000000000004, | |
3682 | 1.3962634015954636, 0.0 }, | |
3683 | { 1.8983924169967099, 0.20000000000000018, 0.30000000000000004, | |
3684 | 1.5707963267948966, 0.0 }, | |
3685 | }; | |
3686 | const double toler114 = 2.5000000000000020e-13; | |
3687 | ||
3688 | // Test data for k=0.20000000000000018, nu=0.40000000000000002. | |
3689 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 6 | |
3690 | // max(|f - f_Boost| / |f_Boost|): 3.6738449250038925e-16 | |
3691 | // mean(f - f_Boost): -3.0531133177191807e-17 | |
3692 | // variance(f - f_Boost): 2.7810428396951687e-32 | |
3693 | // stddev(f - f_Boost): 1.6676458975739331e-16 | |
3694 | const testcase_ellint_3<double> | |
3695 | data115[10] = | |
3696 | { | |
3697 | { 0.0000000000000000, 0.20000000000000018, 0.40000000000000002, | |
3698 | 0.0000000000000000, 0.0 }, | |
3699 | { 0.17527815368535152, 0.20000000000000018, 0.40000000000000002, | |
3700 | 0.17453292519943295, 0.0 }, | |
3701 | { 0.35504762134297801, 0.20000000000000018, 0.40000000000000002, | |
3702 | 0.34906585039886590, 0.0 }, | |
3703 | { 0.54387742353211344, 0.20000000000000018, 0.40000000000000002, | |
3704 | 0.52359877559829882, 0.0 }, | |
3705 | { 0.74637910471804259, 0.20000000000000018, 0.40000000000000002, | |
3706 | 0.69813170079773179, 0.0 }, | |
3707 | { 0.96690539714174639, 0.20000000000000018, 0.40000000000000002, | |
3708 | 0.87266462599716477, 0.0 }, | |
3709 | { 1.2087859420184757, 0.20000000000000018, 0.40000000000000002, | |
3710 | 1.0471975511965976, 0.0 }, | |
3711 | { 1.4729799844168852, 0.20000000000000018, 0.40000000000000002, | |
3712 | 1.2217304763960306, 0.0 }, | |
3713 | { 1.7564445064596661, 0.20000000000000018, 0.40000000000000002, | |
3714 | 1.3962634015954636, 0.0 }, | |
3715 | { 2.0512956926676806, 0.20000000000000018, 0.40000000000000002, | |
3716 | 1.5707963267948966, 0.0 }, | |
3717 | }; | |
3718 | const double toler115 = 2.5000000000000020e-13; | |
3719 | ||
3720 | // Test data for k=0.20000000000000018, nu=0.50000000000000000. | |
3721 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
3722 | // max(|f - f_Boost| / |f_Boost|): 4.3841806057292116e-16 | |
3723 | // mean(f - f_Boost): 3.6082248300317589e-17 | |
3724 | // variance(f - f_Boost): 8.9638010532618564e-32 | |
3725 | // stddev(f - f_Boost): 2.9939607634806868e-16 | |
3726 | const testcase_ellint_3<double> | |
3727 | data116[10] = | |
3728 | { | |
3729 | { 0.0000000000000000, 0.20000000000000018, 0.50000000000000000, | |
3730 | 0.0000000000000000, 0.0 }, | |
3731 | { 0.17545727725228877, 0.20000000000000018, 0.50000000000000000, | |
3732 | 0.17453292519943295, 0.0 }, | |
3733 | { 0.35652666242062175, 0.20000000000000018, 0.50000000000000000, | |
3734 | 0.34906585039886590, 0.0 }, | |
3735 | { 0.54913090549102406, 0.20000000000000018, 0.50000000000000000, | |
3736 | 0.52359877559829882, 0.0 }, | |
3737 | { 0.75970161209211551, 0.20000000000000018, 0.50000000000000000, | |
3738 | 0.69813170079773179, 0.0 }, | |
3739 | { 0.99504737401590326, 0.20000000000000018, 0.50000000000000000, | |
3740 | 0.87266462599716477, 0.0 }, | |
3741 | { 1.2614666007124373, 0.20000000000000018, 0.50000000000000000, | |
3742 | 1.0471975511965976, 0.0 }, | |
3743 | { 1.5625255355205498, 0.20000000000000018, 0.50000000000000000, | |
3744 | 1.2217304763960306, 0.0 }, | |
3745 | { 1.8954460255613346, 0.20000000000000018, 0.50000000000000000, | |
3746 | 1.3962634015954636, 0.0 }, | |
3747 | { 2.2481046259421302, 0.20000000000000018, 0.50000000000000000, | |
3748 | 1.5707963267948966, 0.0 }, | |
3749 | }; | |
3750 | const double toler116 = 2.5000000000000020e-13; | |
3751 | ||
3752 | // Test data for k=0.20000000000000018, nu=0.60000000000000009. | |
3753 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
3754 | // max(|f - f_Boost| / |f_Boost|): 3.5317584994994743e-16 | |
3755 | // mean(f - f_Boost): -1.3877787807814457e-17 | |
3756 | // variance(f - f_Boost): 1.0045745697575397e-31 | |
3757 | // stddev(f - f_Boost): 3.1695024369095219e-16 | |
3758 | const testcase_ellint_3<double> | |
3759 | data117[10] = | |
3760 | { | |
3761 | { 0.0000000000000000, 0.20000000000000018, 0.60000000000000009, | |
3762 | 0.0000000000000000, 0.0 }, | |
3763 | { 0.17563706072900442, 0.20000000000000018, 0.60000000000000009, | |
3764 | 0.17453292519943295, 0.0 }, | |
3765 | { 0.35802800926807238, 0.20000000000000018, 0.60000000000000009, | |
3766 | 0.34906585039886590, 0.0 }, | |
3767 | { 0.55456942250515051, 0.20000000000000018, 0.60000000000000009, | |
3768 | 0.52359877559829882, 0.0 }, | |
3769 | { 0.77390003828438203, 0.20000000000000018, 0.60000000000000009, | |
3770 | 0.69813170079773179, 0.0 }, | |
3771 | { 1.0262441366366397, 0.20000000000000018, 0.60000000000000009, | |
3772 | 0.87266462599716477, 0.0 }, | |
3773 | { 1.3228192988439669, 0.20000000000000018, 0.60000000000000009, | |
3774 | 1.0471975511965976, 0.0 }, | |
3775 | { 1.6728005754680795, 0.20000000000000018, 0.60000000000000009, | |
3776 | 1.2217304763960306, 0.0 }, | |
3777 | { 2.0761587107468511, 0.20000000000000018, 0.60000000000000009, | |
3778 | 1.3962634015954636, 0.0 }, | |
3779 | { 2.5148333891629315, 0.20000000000000018, 0.60000000000000009, | |
3780 | 1.5707963267948966, 0.0 }, | |
3781 | }; | |
3782 | const double toler117 = 2.5000000000000020e-13; | |
3783 | ||
3784 | // Test data for k=0.20000000000000018, nu=0.70000000000000007. | |
3785 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
3786 | // max(|f - f_Boost| / |f_Boost|): 4.2209418045118284e-16 | |
3787 | // mean(f - f_Boost): 2.4980018054066023e-17 | |
3788 | // variance(f - f_Boost): 9.1989071679544611e-32 | |
3789 | // stddev(f - f_Boost): 3.0329700242426498e-16 | |
3790 | const testcase_ellint_3<double> | |
3791 | data118[10] = | |
3792 | { | |
3793 | { 0.0000000000000000, 0.20000000000000018, 0.70000000000000007, | |
3794 | 0.0000000000000000, 0.0 }, | |
3795 | { 0.17581750846781172, 0.20000000000000018, 0.70000000000000007, | |
3796 | 0.17453292519943295, 0.0 }, | |
3797 | { 0.35955226882028513, 0.20000000000000018, 0.70000000000000007, | |
3798 | 0.34906585039886590, 0.0 }, | |
3799 | { 0.56020489659466499, 0.20000000000000018, 0.70000000000000007, | |
3800 | 0.52359877559829882, 0.0 }, | |
3801 | { 0.78908196988531498, 0.20000000000000018, 0.70000000000000007, | |
3802 | 0.69813170079773179, 0.0 }, | |
3803 | { 1.0611336754143517, 0.20000000000000018, 0.70000000000000007, | |
3804 | 0.87266462599716477, 0.0 }, | |
3805 | { 1.3956969951058884, 0.20000000000000018, 0.70000000000000007, | |
3806 | 1.0471975511965976, 0.0 }, | |
3807 | { 1.8138131612209609, 0.20000000000000018, 0.70000000000000007, | |
3808 | 1.2217304763960306, 0.0 }, | |
3809 | { 2.3256365528879561, 0.20000000000000018, 0.70000000000000007, | |
3810 | 1.3962634015954636, 0.0 }, | |
3811 | { 2.9058704854500963, 0.20000000000000018, 0.70000000000000007, | |
3812 | 1.5707963267948966, 0.0 }, | |
3813 | }; | |
3814 | const double toler118 = 2.5000000000000020e-13; | |
3815 | ||
3816 | // Test data for k=0.20000000000000018, nu=0.80000000000000004. | |
3817 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 | |
3818 | // max(|f - f_Boost| / |f_Boost|): 3.7399960886656824e-16 | |
3819 | // mean(f - f_Boost): 1.3877787807814457e-16 | |
3820 | // variance(f - f_Boost): 1.7585404776158019e-31 | |
3821 | // stddev(f - f_Boost): 4.1934955319110593e-16 | |
3822 | const testcase_ellint_3<double> | |
3823 | data119[10] = | |
3824 | { | |
3825 | { 0.0000000000000000, 0.20000000000000018, 0.80000000000000004, | |
3826 | 0.0000000000000000, 0.0 }, | |
3827 | { 0.17599862486281712, 0.20000000000000018, 0.80000000000000004, | |
3828 | 0.17453292519943295, 0.0 }, | |
3829 | { 0.36110007227128776, 0.20000000000000018, 0.80000000000000004, | |
3830 | 0.34906585039886590, 0.0 }, | |
3831 | { 0.56605039658567224, 0.20000000000000018, 0.80000000000000004, | |
3832 | 0.52359877559829882, 0.0 }, | |
3833 | { 0.80537523874517691, 0.20000000000000018, 0.80000000000000004, | |
3834 | 0.69813170079773179, 0.0 }, | |
3835 | { 1.1005662342414086, 0.20000000000000018, 0.80000000000000004, | |
3836 | 0.87266462599716477, 0.0 }, | |
3837 | { 1.4845340298105778, 0.20000000000000018, 0.80000000000000004, | |
3838 | 1.0471975511965976, 0.0 }, | |
3839 | { 2.0043332244969392, 0.20000000000000018, 0.80000000000000004, | |
3840 | 1.2217304763960306, 0.0 }, | |
3841 | { 2.7052856676744761, 0.20000000000000018, 0.80000000000000004, | |
3842 | 1.3962634015954636, 0.0 }, | |
3843 | { 3.5622166386422633, 0.20000000000000018, 0.80000000000000004, | |
3844 | 1.5707963267948966, 0.0 }, | |
3845 | }; | |
3846 | const double toler119 = 2.5000000000000020e-13; | |
3847 | ||
3848 | // Test data for k=0.20000000000000018, nu=0.90000000000000002. | |
3849 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
3850 | // max(|f - f_Boost| / |f_Boost|): 4.1718503329017390e-16 | |
3851 | // mean(f - f_Boost): 2.3592239273284576e-16 | |
3852 | // variance(f - f_Boost): 2.9295534376290287e-31 | |
3853 | // stddev(f - f_Boost): 5.4125349307224141e-16 | |
3854 | const testcase_ellint_3<double> | |
3855 | data120[10] = | |
3856 | { | |
3857 | { 0.0000000000000000, 0.20000000000000018, 0.90000000000000002, | |
3858 | 0.0000000000000000, 0.0 }, | |
3859 | { 0.17618041435044951, 0.20000000000000018, 0.90000000000000002, | |
3860 | 0.17453292519943295, 0.0 }, | |
3861 | { 0.36267207636502929, 0.20000000000000018, 0.90000000000000002, | |
3862 | 0.34906585039886590, 0.0 }, | |
3863 | { 0.57212028758237743, 0.20000000000000018, 0.90000000000000002, | |
3864 | 0.52359877559829882, 0.0 }, | |
3865 | { 0.82293323876704483, 0.20000000000000018, 0.90000000000000002, | |
3866 | 0.69813170079773179, 0.0 }, | |
3867 | { 1.1457077279880388, 0.20000000000000018, 0.90000000000000002, | |
3868 | 0.87266462599716477, 0.0 }, | |
3869 | { 1.5967346899325681, 0.20000000000000018, 0.90000000000000002, | |
3870 | 1.0471975511965976, 0.0 }, | |
3871 | { 2.2856537353421724, 0.20000000000000018, 0.90000000000000002, | |
3872 | 1.2217304763960306, 0.0 }, | |
3873 | { 3.4034714304613902, 0.20000000000000018, 0.90000000000000002, | |
3874 | 1.3962634015954636, 0.0 }, | |
3875 | { 5.0448269356200370, 0.20000000000000018, 0.90000000000000002, | |
3876 | 1.5707963267948966, 0.0 }, | |
3877 | }; | |
3878 | const double toler120 = 2.5000000000000020e-13; | |
7c62b943 BK |
3879 | |
3880 | // Test data for k=0.30000000000000004, nu=0.0000000000000000. | |
b4688136 ESR |
3881 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 9 |
3882 | // max(|f - f_Boost| / |f_Boost|): 4.2241249691539529e-16 | |
3883 | // mean(f - f_Boost): 2.7755575615628914e-17 | |
3884 | // variance(f - f_Boost): 2.1399221604302621e-32 | |
3885 | // stddev(f - f_Boost): 1.4628472785736254e-16 | |
3886 | const testcase_ellint_3<double> | |
3887 | data121[10] = | |
3888 | { | |
3889 | { 0.0000000000000000, 0.30000000000000004, 0.0000000000000000, | |
3890 | 0.0000000000000000, 0.0 }, | |
3891 | { 0.17461228653000099, 0.30000000000000004, 0.0000000000000000, | |
3892 | 0.17453292519943295, 0.0 }, | |
3893 | { 0.34969146102798421, 0.30000000000000004, 0.0000000000000000, | |
3894 | 0.34906585039886590, 0.0 }, | |
3895 | { 0.52565822873726309, 0.30000000000000004, 0.0000000000000000, | |
3896 | 0.52359877559829882, 0.0 }, | |
3897 | { 0.70284226512408543, 0.30000000000000004, 0.0000000000000000, | |
3898 | 0.69813170079773179, 0.0 }, | |
3899 | { 0.88144139195111171, 0.30000000000000004, 0.0000000000000000, | |
3900 | 0.87266462599716477, 0.0 }, | |
3901 | { 1.0614897067260520, 0.30000000000000004, 0.0000000000000000, | |
3902 | 1.0471975511965976, 0.0 }, | |
3903 | { 1.2428416824174220, 0.30000000000000004, 0.0000000000000000, | |
3904 | 1.2217304763960306, 0.0 }, | |
3905 | { 1.4251795877015929, 0.30000000000000004, 0.0000000000000000, | |
3906 | 1.3962634015954636, 0.0 }, | |
3907 | { 1.6080486199305128, 0.30000000000000004, 0.0000000000000000, | |
3908 | 1.5707963267948966, 0.0 }, | |
3909 | }; | |
3910 | const double toler121 = 2.5000000000000020e-13; | |
7c62b943 BK |
3911 | |
3912 | // Test data for k=0.30000000000000004, nu=0.10000000000000001. | |
b4688136 ESR |
3913 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 9 |
3914 | // max(|f - f_Boost| / |f_Boost|): 4.1872304407982844e-16 | |
3915 | // mean(f - f_Boost): 7.2164496600635178e-17 | |
3916 | // variance(f - f_Boost): 4.3555500115139682e-32 | |
3917 | // stddev(f - f_Boost): 2.0869954507650391e-16 | |
3918 | const testcase_ellint_3<double> | |
3919 | data122[10] = | |
3920 | { | |
3921 | { 0.0000000000000000, 0.30000000000000004, 0.10000000000000001, | |
3922 | 0.0000000000000000, 0.0 }, | |
3923 | { 0.17478889331392972, 0.30000000000000004, 0.10000000000000001, | |
3924 | 0.17453292519943295, 0.0 }, | |
3925 | { 0.35108939018329183, 0.30000000000000004, 0.10000000000000001, | |
3926 | 0.34906585039886590, 0.0 }, | |
3927 | { 0.53028990896115835, 0.30000000000000004, 0.10000000000000001, | |
3928 | 0.52359877559829882, 0.0 }, | |
3929 | { 0.71352417052371409, 0.30000000000000004, 0.10000000000000001, | |
3930 | 0.69813170079773179, 0.0 }, | |
3931 | { 0.90153086032405894, 0.30000000000000004, 0.10000000000000001, | |
3932 | 0.87266462599716477, 0.0 }, | |
3933 | { 1.0945187977283313, 0.30000000000000004, 0.10000000000000001, | |
3934 | 1.0471975511965976, 0.0 }, | |
3935 | { 1.2920699268385683, 0.30000000000000004, 0.10000000000000001, | |
3936 | 1.2217304763960306, 0.0 }, | |
3937 | { 1.4931243665896394, 0.30000000000000004, 0.10000000000000001, | |
3938 | 1.3962634015954636, 0.0 }, | |
3939 | { 1.6960848815118226, 0.30000000000000004, 0.10000000000000001, | |
3940 | 1.5707963267948966, 0.0 }, | |
3941 | }; | |
3942 | const double toler122 = 2.5000000000000020e-13; | |
7c62b943 BK |
3943 | |
3944 | // Test data for k=0.30000000000000004, nu=0.20000000000000001. | |
b4688136 ESR |
3945 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 9 |
3946 | // max(|f - f_Boost| / |f_Boost|): 6.2247497610332889e-16 | |
3947 | // mean(f - f_Boost): 6.6613381477509390e-17 | |
3948 | // variance(f - f_Boost): 1.7591111235252501e-32 | |
3949 | // stddev(f - f_Boost): 1.3263148659067538e-16 | |
3950 | const testcase_ellint_3<double> | |
3951 | data123[10] = | |
3952 | { | |
3953 | { 0.0000000000000000, 0.30000000000000004, 0.20000000000000001, | |
3954 | 0.0000000000000000, 0.0 }, | |
3955 | { 0.17496614335337535, 0.30000000000000004, 0.20000000000000001, | |
3956 | 0.17453292519943295, 0.0 }, | |
3957 | { 0.35250745937139372, 0.30000000000000004, 0.20000000000000001, | |
3958 | 0.34906585039886590, 0.0 }, | |
3959 | { 0.53506875002836884, 0.30000000000000004, 0.20000000000000001, | |
3960 | 0.52359877559829882, 0.0 }, | |
3961 | { 0.72479106622248191, 0.30000000000000004, 0.20000000000000001, | |
3962 | 0.69813170079773179, 0.0 }, | |
3963 | { 0.92326451535891607, 0.30000000000000004, 0.20000000000000001, | |
3964 | 0.87266462599716477, 0.0 }, | |
3965 | { 1.1312092060698349, 0.30000000000000004, 0.20000000000000001, | |
3966 | 1.0471975511965976, 0.0 }, | |
3967 | { 1.3481473154592321, 0.30000000000000004, 0.20000000000000001, | |
3968 | 1.2217304763960306, 0.0 }, | |
3969 | { 1.5722049569662750, 0.30000000000000004, 0.20000000000000001, | |
3970 | 1.3962634015954636, 0.0 }, | |
3971 | { 1.8002173372290500, 0.30000000000000004, 0.20000000000000001, | |
3972 | 1.5707963267948966, 0.0 }, | |
3973 | }; | |
3974 | const double toler123 = 2.5000000000000020e-13; | |
3975 | ||
3976 | // Test data for k=0.30000000000000004, nu=0.30000000000000004. | |
3977 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
3978 | // max(|f - f_Boost| / |f_Boost|): 6.1678685180047551e-16 | |
3979 | // mean(f - f_Boost): 1.0547118733938987e-16 | |
3980 | // variance(f - f_Boost): 7.5633408838247182e-32 | |
3981 | // stddev(f - f_Boost): 2.7501528837184157e-16 | |
3982 | const testcase_ellint_3<double> | |
3983 | data124[10] = | |
3984 | { | |
3985 | { 0.0000000000000000, 0.30000000000000004, 0.30000000000000004, | |
3986 | 0.0000000000000000, 0.0 }, | |
3987 | { 0.17514404084107435, 0.30000000000000004, 0.30000000000000004, | |
3988 | 0.17453292519943295, 0.0 }, | |
3989 | { 0.35394619108645647, 0.30000000000000004, 0.30000000000000004, | |
3990 | 0.34906585039886590, 0.0 }, | |
3991 | { 0.54000325463372689, 0.30000000000000004, 0.30000000000000004, | |
3992 | 0.52359877559829882, 0.0 }, | |
3993 | { 0.73670193794067651, 0.30000000000000004, 0.30000000000000004, | |
3994 | 0.69813170079773179, 0.0 }, | |
3995 | { 0.94689345491722177, 0.30000000000000004, 0.30000000000000004, | |
3996 | 0.87266462599716477, 0.0 }, | |
3997 | { 1.1723274608389140, 0.30000000000000004, 0.30000000000000004, | |
3998 | 1.0471975511965976, 0.0 }, | |
3999 | { 1.4128880552936287, 0.30000000000000004, 0.30000000000000004, | |
4000 | 1.2217304763960306, 0.0 }, | |
4001 | { 1.6659010047449661, 0.30000000000000004, 0.30000000000000004, | |
4002 | 1.3962634015954636, 0.0 }, | |
4003 | { 1.9260216862473254, 0.30000000000000004, 0.30000000000000004, | |
4004 | 1.5707963267948966, 0.0 }, | |
4005 | }; | |
4006 | const double toler124 = 2.5000000000000020e-13; | |
7c62b943 BK |
4007 | |
4008 | // Test data for k=0.30000000000000004, nu=0.40000000000000002. | |
b4688136 ESR |
4009 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 |
4010 | // max(|f - f_Boost| / |f_Boost|): 6.3983279132797385e-16 | |
4011 | // mean(f - f_Boost): 1.1657341758564144e-16 | |
4012 | // variance(f - f_Boost): 1.8245832308692586e-31 | |
4013 | // stddev(f - f_Boost): 4.2715140534349863e-16 | |
4014 | const testcase_ellint_3<double> | |
4015 | data125[10] = | |
4016 | { | |
4017 | { 0.0000000000000000, 0.30000000000000004, 0.40000000000000002, | |
4018 | 0.0000000000000000, 0.0 }, | |
4019 | { 0.17532259000954434, 0.30000000000000004, 0.40000000000000002, | |
4020 | 0.17453292519943295, 0.0 }, | |
4021 | { 0.35540612770983693, 0.30000000000000004, 0.40000000000000002, | |
4022 | 0.34906585039886590, 0.0 }, | |
4023 | { 0.54510265552938919, 0.30000000000000004, 0.40000000000000002, | |
4024 | 0.52359877559829882, 0.0 }, | |
4025 | { 0.74932476310965057, 0.30000000000000004, 0.40000000000000002, | |
4026 | 0.69813170079773179, 0.0 }, | |
4027 | { 0.97272793583093109, 0.30000000000000004, 0.40000000000000002, | |
4028 | 0.87266462599716477, 0.0 }, | |
4029 | { 1.2188928987074241, 0.30000000000000004, 0.40000000000000002, | |
4030 | 1.0471975511965976, 0.0 }, | |
4031 | { 1.4888771674085941, 0.30000000000000004, 0.40000000000000002, | |
4032 | 1.2217304763960306, 0.0 }, | |
4033 | { 1.7794558498219191, 0.30000000000000004, 0.40000000000000002, | |
4034 | 1.3962634015954636, 0.0 }, | |
4035 | { 2.0822121773175528, 0.30000000000000004, 0.40000000000000002, | |
4036 | 1.5707963267948966, 0.0 }, | |
4037 | }; | |
4038 | const double toler125 = 2.5000000000000020e-13; | |
7c62b943 BK |
4039 | |
4040 | // Test data for k=0.30000000000000004, nu=0.50000000000000000. | |
b4688136 ESR |
4041 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 9 |
4042 | // max(|f - f_Boost| / |f_Boost|): 6.0516138451673425e-16 | |
4043 | // mean(f - f_Boost): 4.7184478546569152e-17 | |
4044 | // variance(f - f_Boost): 1.9448563670505968e-32 | |
4045 | // stddev(f - f_Boost): 1.3945810722401896e-16 | |
4046 | const testcase_ellint_3<double> | |
4047 | data126[10] = | |
4048 | { | |
4049 | { 0.0000000000000000, 0.30000000000000004, 0.50000000000000000, | |
4050 | 0.0000000000000000, 0.0 }, | |
4051 | { 0.17550179513158179, 0.30000000000000004, 0.50000000000000000, | |
4052 | 0.17453292519943295, 0.0 }, | |
4053 | { 0.35688783251681200, 0.30000000000000004, 0.50000000000000000, | |
4054 | 0.34906585039886590, 0.0 }, | |
4055 | { 0.55037700010142798, 0.30000000000000004, 0.50000000000000000, | |
4056 | 0.52359877559829882, 0.0 }, | |
4057 | { 0.76273839789895992, 0.30000000000000004, 0.50000000000000000, | |
4058 | 0.69813170079773179, 0.0 }, | |
4059 | { 1.0011570518830419, 0.30000000000000004, 0.50000000000000000, | |
4060 | 0.87266462599716477, 0.0 }, | |
4061 | { 1.2722987414055109, 0.30000000000000004, 0.50000000000000000, | |
4062 | 1.0471975511965976, 0.0 }, | |
4063 | { 1.5799590511080066, 0.30000000000000004, 0.50000000000000000, | |
4064 | 1.2217304763960306, 0.0 }, | |
4065 | { 1.9212367220124293, 0.30000000000000004, 0.50000000000000000, | |
4066 | 1.3962634015954636, 0.0 }, | |
4067 | { 2.2833505881933971, 0.30000000000000004, 0.50000000000000000, | |
4068 | 1.5707963267948966, 0.0 }, | |
4069 | }; | |
4070 | const double toler126 = 2.5000000000000020e-13; | |
4071 | ||
4072 | // Test data for k=0.30000000000000004, nu=0.60000000000000009. | |
4073 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 | |
4074 | // max(|f - f_Boost| / |f_Boost|): 5.2121157428443725e-16 | |
4075 | // mean(f - f_Boost): 1.9428902930940239e-16 | |
4076 | // variance(f - f_Boost): 1.5987596229703424e-31 | |
4077 | // stddev(f - f_Boost): 3.9984492281012430e-16 | |
4078 | const testcase_ellint_3<double> | |
4079 | data127[10] = | |
4080 | { | |
4081 | { 0.0000000000000000, 0.30000000000000004, 0.60000000000000009, | |
4082 | 0.0000000000000000, 0.0 }, | |
4083 | { 0.17568166052076745, 0.30000000000000004, 0.60000000000000009, | |
4084 | 0.17453292519943295, 0.0 }, | |
4085 | { 0.35839189074731181, 0.30000000000000004, 0.60000000000000009, | |
4086 | 0.34906585039886590, 0.0 }, | |
4087 | { 0.55583724744367558, 0.30000000000000004, 0.60000000000000009, | |
4088 | 0.52359877559829882, 0.0 }, | |
4089 | { 0.77703498090888223, 0.30000000000000004, 0.60000000000000009, | |
4090 | 0.69813170079773179, 0.0 }, | |
4091 | { 1.0326772113675962, 0.30000000000000004, 0.60000000000000009, | |
4092 | 0.87266462599716477, 0.0 }, | |
4093 | { 1.3345139983717369, 0.30000000000000004, 0.60000000000000009, | |
4094 | 1.0471975511965976, 0.0 }, | |
4095 | { 1.6921742922838403, 0.30000000000000004, 0.60000000000000009, | |
4096 | 1.2217304763960306, 0.0 }, | |
4097 | { 2.1056608968472186, 0.30000000000000004, 0.60000000000000009, | |
4098 | 1.3962634015954636, 0.0 }, | |
4099 | { 2.5560975528589061, 0.30000000000000004, 0.60000000000000009, | |
4100 | 1.5707963267948966, 0.0 }, | |
4101 | }; | |
4102 | const double toler127 = 2.5000000000000020e-13; | |
4103 | ||
4104 | // Test data for k=0.30000000000000004, nu=0.70000000000000007. | |
4105 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
4106 | // max(|f - f_Boost| / |f_Boost|): 6.0088945789059381e-16 | |
4107 | // mean(f - f_Boost): 2.1094237467877973e-16 | |
4108 | // variance(f - f_Boost): 3.0253363535298873e-31 | |
4109 | // stddev(f - f_Boost): 5.5003057674368314e-16 | |
4110 | const testcase_ellint_3<double> | |
4111 | data128[10] = | |
4112 | { | |
4113 | { 0.0000000000000000, 0.30000000000000004, 0.70000000000000007, | |
4114 | 0.0000000000000000, 0.0 }, | |
4115 | { 0.17586219053197988, 0.30000000000000004, 0.70000000000000007, | |
4116 | 0.17453292519943295, 0.0 }, | |
4117 | { 0.35991891074557669, 0.30000000000000004, 0.70000000000000007, | |
4118 | 0.34906585039886590, 0.0 }, | |
4119 | { 0.56149538019961731, 0.30000000000000004, 0.70000000000000007, | |
4120 | 0.52359877559829882, 0.0 }, | |
4121 | { 0.79232303189667685, 0.30000000000000004, 0.70000000000000007, | |
4122 | 0.69813170079773179, 0.0 }, | |
4123 | { 1.0679345542878826, 0.30000000000000004, 0.70000000000000007, | |
4124 | 0.87266462599716477, 0.0 }, | |
4125 | { 1.4084400085913955, 0.30000000000000004, 0.70000000000000007, | |
4126 | 1.0471975511965976, 0.0 }, | |
4127 | { 1.8357382859296454, 0.30000000000000004, 0.70000000000000007, | |
4128 | 1.2217304763960306, 0.0 }, | |
4129 | { 2.3604197996171519, 0.30000000000000004, 0.70000000000000007, | |
4130 | 1.3962634015954636, 0.0 }, | |
4131 | { 2.9562123549913872, 0.30000000000000004, 0.70000000000000007, | |
4132 | 1.5707963267948966, 0.0 }, | |
4133 | }; | |
4134 | const double toler128 = 2.5000000000000020e-13; | |
7c62b943 BK |
4135 | |
4136 | // Test data for k=0.30000000000000004, nu=0.80000000000000004. | |
b4688136 ESR |
4137 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 9 |
4138 | // max(|f - f_Boost| / |f_Boost|): 6.1197887707781618e-16 | |
4139 | // mean(f - f_Boost): 3.4416913763379854e-16 | |
4140 | // variance(f - f_Boost): 4.3461914185990199e-31 | |
4141 | // stddev(f - f_Boost): 6.5925650687718054e-16 | |
4142 | const testcase_ellint_3<double> | |
4143 | data129[10] = | |
4144 | { | |
4145 | { 0.0000000000000000, 0.30000000000000004, 0.80000000000000004, | |
4146 | 0.0000000000000000, 0.0 }, | |
4147 | { 0.17604338956191670, 0.30000000000000004, 0.80000000000000004, | |
4148 | 0.17453292519943295, 0.0 }, | |
4149 | { 0.36146952517410791, 0.30000000000000004, 0.80000000000000004, | |
4150 | 0.34906585039886590, 0.0 }, | |
4151 | { 0.56736453393774644, 0.30000000000000004, 0.80000000000000004, | |
4152 | 0.52359877559829882, 0.0 }, | |
4153 | { 0.80873149979001091, 0.30000000000000004, 0.80000000000000004, | |
4154 | 0.69813170079773179, 0.0 }, | |
4155 | { 1.1077903069860620, 0.30000000000000004, 0.80000000000000004, | |
4156 | 0.87266462599716477, 0.0 }, | |
4157 | { 1.4985874311132998, 0.30000000000000004, 0.80000000000000004, | |
4158 | 1.0471975511965976, 0.0 }, | |
4159 | { 2.0298167266724954, 0.30000000000000004, 0.80000000000000004, | |
4160 | 1.2217304763960306, 0.0 }, | |
4161 | { 2.7483929054985432, 0.30000000000000004, 0.80000000000000004, | |
4162 | 1.3962634015954636, 0.0 }, | |
4163 | { 3.6283050484567170, 0.30000000000000004, 0.80000000000000004, | |
4164 | 1.5707963267948966, 0.0 }, | |
4165 | }; | |
4166 | const double toler129 = 2.5000000000000020e-13; | |
7c62b943 BK |
4167 | |
4168 | // Test data for k=0.30000000000000004, nu=0.90000000000000002. | |
b4688136 ESR |
4169 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 8 |
4170 | // max(|f - f_Boost| / |f_Boost|): 5.1301806687926828e-16 | |
4171 | // mean(f - f_Boost): 4.1633363423443370e-16 | |
4172 | // variance(f - f_Boost): 2.2835347143080263e-31 | |
4173 | // stddev(f - f_Boost): 4.7786344433405093e-16 | |
4174 | const testcase_ellint_3<double> | |
4175 | data130[10] = | |
4176 | { | |
4177 | { 0.0000000000000000, 0.30000000000000004, 0.90000000000000002, | |
4178 | 0.0000000000000000, 0.0 }, | |
4179 | { 0.17622526204962433, 0.30000000000000004, 0.90000000000000002, | |
4180 | 0.17453292519943295, 0.0 }, | |
4181 | { 0.36304439230777141, 0.30000000000000004, 0.90000000000000002, | |
4182 | 0.34906585039886590, 0.0 }, | |
4183 | { 0.57345914744719195, 0.30000000000000004, 0.90000000000000002, | |
4184 | 0.52359877559829882, 0.0 }, | |
4185 | { 0.82641512928845162, 0.30000000000000004, 0.90000000000000002, | |
4186 | 0.69813170079773179, 0.0 }, | |
4187 | { 1.1534256210757743, 0.30000000000000004, 0.90000000000000002, | |
4188 | 0.87266462599716477, 0.0 }, | |
4189 | { 1.6124900353411677, 0.30000000000000004, 0.90000000000000002, | |
4190 | 1.0471975511965976, 0.0 }, | |
4191 | { 2.3165905514845089, 0.30000000000000004, 0.90000000000000002, | |
4192 | 1.2217304763960306, 0.0 }, | |
4193 | { 3.4625619526539824, 0.30000000000000004, 0.90000000000000002, | |
4194 | 1.3962634015954636, 0.0 }, | |
4195 | { 5.1479514944016787, 0.30000000000000004, 0.90000000000000002, | |
4196 | 1.5707963267948966, 0.0 }, | |
4197 | }; | |
4198 | const double toler130 = 2.5000000000000020e-13; | |
4199 | ||
4200 | // Test data for k=0.40000000000000013, nu=0.0000000000000000. | |
4201 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
4202 | // max(|f - f_Boost| / |f_Boost|): 1.0831445028587608e-15 | |
4203 | // mean(f - f_Boost): 1.7486012637846215e-16 | |
4204 | // variance(f - f_Boost): 3.1664095331106078e-31 | |
4205 | // stddev(f - f_Boost): 5.6270858649132121e-16 | |
4206 | const testcase_ellint_3<double> | |
4207 | data131[10] = | |
4208 | { | |
4209 | { 0.0000000000000000, 0.40000000000000013, 0.0000000000000000, | |
4210 | 0.0000000000000000, 0.0 }, | |
4211 | { 0.17467414669441528, 0.40000000000000013, 0.0000000000000000, | |
4212 | 0.17453292519943295, 0.0 }, | |
4213 | { 0.35018222772483443, 0.40000000000000013, 0.0000000000000000, | |
4214 | 0.34906585039886590, 0.0 }, | |
4215 | { 0.52729015917508748, 0.40000000000000013, 0.0000000000000000, | |
4216 | 0.52359877559829882, 0.0 }, | |
4217 | { 0.70662374407341244, 0.40000000000000013, 0.0000000000000000, | |
4218 | 0.69813170079773179, 0.0 }, | |
4219 | { 0.88859210497602159, 0.40000000000000013, 0.0000000000000000, | |
4220 | 0.87266462599716477, 0.0 }, | |
4221 | { 1.0733136290471381, 0.40000000000000013, 0.0000000000000000, | |
4222 | 1.0471975511965976, 0.0 }, | |
4223 | { 1.2605612170157066, 0.40000000000000013, 0.0000000000000000, | |
4224 | 1.2217304763960306, 0.0 }, | |
4225 | { 1.4497513956433439, 0.40000000000000013, 0.0000000000000000, | |
4226 | 1.3962634015954636, 0.0 }, | |
4227 | { 1.6399998658645112, 0.40000000000000013, 0.0000000000000000, | |
4228 | 1.5707963267948966, 0.0 }, | |
4229 | }; | |
4230 | const double toler131 = 2.5000000000000020e-13; | |
4231 | ||
4232 | // Test data for k=0.40000000000000013, nu=0.10000000000000001. | |
4233 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
4234 | // max(|f - f_Boost| / |f_Boost|): 1.0263824105456986e-15 | |
4235 | // mean(f - f_Boost): 1.7486012637846215e-16 | |
4236 | // variance(f - f_Boost): 3.1664095331106078e-31 | |
4237 | // stddev(f - f_Boost): 5.6270858649132121e-16 | |
4238 | const testcase_ellint_3<double> | |
4239 | data132[10] = | |
4240 | { | |
4241 | { 0.0000000000000000, 0.40000000000000013, 0.10000000000000001, | |
4242 | 0.0000000000000000, 0.0 }, | |
4243 | { 0.17485086590796767, 0.40000000000000013, 0.10000000000000001, | |
4244 | 0.17453292519943295, 0.0 }, | |
4245 | { 0.35158366412506992, 0.40000000000000013, 0.10000000000000001, | |
4246 | 0.34906585039886590, 0.0 }, | |
4247 | { 0.53194731675711726, 0.40000000000000013, 0.10000000000000001, | |
4248 | 0.52359877559829882, 0.0 }, | |
4249 | { 0.71740615528010931, 0.40000000000000013, 0.10000000000000001, | |
4250 | 0.69813170079773179, 0.0 }, | |
4251 | { 0.90896157773487030, 0.40000000000000013, 0.10000000000000001, | |
4252 | 0.87266462599716477, 0.0 }, | |
4253 | { 1.1069605483834348, 0.40000000000000013, 0.10000000000000001, | |
4254 | 1.0471975511965976, 0.0 }, | |
4255 | { 1.3109353428823001, 0.40000000000000013, 0.10000000000000001, | |
4256 | 1.2217304763960306, 0.0 }, | |
4257 | { 1.5195460789903450, 0.40000000000000013, 0.10000000000000001, | |
4258 | 1.3962634015954636, 0.0 }, | |
4259 | { 1.7306968836847190, 0.40000000000000013, 0.10000000000000001, | |
4260 | 1.5707963267948966, 0.0 }, | |
4261 | }; | |
4262 | const double toler132 = 2.5000000000000020e-13; | |
4263 | ||
4264 | // Test data for k=0.40000000000000013, nu=0.20000000000000001. | |
4265 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
4266 | // max(|f - f_Boost| / |f_Boost|): 9.6644296021947179e-16 | |
4267 | // mean(f - f_Boost): 2.0816681711721685e-16 | |
4268 | // variance(f - f_Boost): 3.0360740073926687e-31 | |
4269 | // stddev(f - f_Boost): 5.5100580826273227e-16 | |
4270 | const testcase_ellint_3<double> | |
4271 | data133[10] = | |
4272 | { | |
4273 | { 0.0000000000000000, 0.40000000000000013, 0.20000000000000001, | |
4274 | 0.0000000000000000, 0.0 }, | |
4275 | { 0.17502822886437389, 0.40000000000000013, 0.20000000000000001, | |
4276 | 0.17453292519943295, 0.0 }, | |
4277 | { 0.35300530062530805, 0.40000000000000013, 0.20000000000000001, | |
4278 | 0.34906585039886590, 0.0 }, | |
4279 | { 0.53675259548210896, 0.40000000000000013, 0.20000000000000001, | |
4280 | 0.52359877559829882, 0.0 }, | |
4281 | { 0.72878006428676934, 0.40000000000000013, 0.20000000000000001, | |
4282 | 0.69813170079773179, 0.0 }, | |
4283 | { 0.93100219010583574, 0.40000000000000013, 0.20000000000000001, | |
4284 | 0.87266462599716477, 0.0 }, | |
4285 | { 1.1443487271187611, 0.40000000000000013, 0.20000000000000001, | |
4286 | 1.0471975511965976, 0.0 }, | |
4287 | { 1.3683427764108813, 0.40000000000000013, 0.20000000000000001, | |
4288 | 1.2217304763960306, 0.0 }, | |
4289 | { 1.6008221459300933, 0.40000000000000013, 0.20000000000000001, | |
4290 | 1.3962634015954636, 0.0 }, | |
4291 | { 1.8380358826317627, 0.40000000000000013, 0.20000000000000001, | |
4292 | 1.5707963267948966, 0.0 }, | |
4293 | }; | |
4294 | const double toler133 = 2.5000000000000020e-13; | |
4295 | ||
4296 | // Test data for k=0.40000000000000013, nu=0.30000000000000004. | |
4297 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
4298 | // max(|f - f_Boost| / |f_Boost|): 9.0271556462838835e-16 | |
4299 | // mean(f - f_Boost): 2.0816681711721685e-16 | |
4300 | // variance(f - f_Boost): 3.0360740073926687e-31 | |
4301 | // stddev(f - f_Boost): 5.5100580826273227e-16 | |
4302 | const testcase_ellint_3<double> | |
4303 | data134[10] = | |
4304 | { | |
4305 | { 0.0000000000000000, 0.40000000000000013, 0.30000000000000004, | |
4306 | 0.0000000000000000, 0.0 }, | |
4307 | { 0.17520623975982899, 0.40000000000000013, 0.30000000000000004, | |
4308 | 0.17453292519943295, 0.0 }, | |
4309 | { 0.35444766141612105, 0.40000000000000013, 0.30000000000000004, | |
4310 | 0.34906585039886590, 0.0 }, | |
4311 | { 0.54171455841536009, 0.40000000000000013, 0.30000000000000004, | |
4312 | 0.52359877559829882, 0.0 }, | |
4313 | { 0.74080517001084012, 0.40000000000000013, 0.30000000000000004, | |
4314 | 0.69813170079773179, 0.0 }, | |
4315 | { 0.95496950509296574, 0.40000000000000013, 0.30000000000000004, | |
4316 | 0.87266462599716477, 0.0 }, | |
4317 | { 1.1862627879844718, 0.40000000000000013, 0.30000000000000004, | |
4318 | 1.0471975511965976, 0.0 }, | |
4319 | { 1.4346501803799458, 0.40000000000000013, 0.30000000000000004, | |
4320 | 1.2217304763960306, 0.0 }, | |
4321 | { 1.6971744798077699, 0.40000000000000013, 0.30000000000000004, | |
4322 | 1.3962634015954636, 0.0 }, | |
4323 | { 1.9677924132520139, 0.40000000000000013, 0.30000000000000004, | |
4324 | 1.5707963267948966, 0.0 }, | |
4325 | }; | |
4326 | const double toler134 = 2.5000000000000020e-13; | |
4327 | ||
4328 | // Test data for k=0.40000000000000013, nu=0.40000000000000002. | |
4329 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
4330 | // max(|f - f_Boost| / |f_Boost|): 8.3436329231972794e-16 | |
4331 | // mean(f - f_Boost): 2.3037127760972000e-16 | |
4332 | // variance(f - f_Boost): 2.9507053793392374e-31 | |
4333 | // stddev(f - f_Boost): 5.4320395611033958e-16 | |
4334 | const testcase_ellint_3<double> | |
4335 | data135[10] = | |
4336 | { | |
4337 | { 0.0000000000000000, 0.40000000000000013, 0.40000000000000002, | |
4338 | 0.0000000000000000, 0.0 }, | |
4339 | { 0.17538490283034375, 0.40000000000000013, 0.40000000000000002, | |
4340 | 0.17453292519943295, 0.0 }, | |
4341 | { 0.35591129064319948, 0.40000000000000013, 0.40000000000000002, | |
4342 | 0.34906585039886590, 0.0 }, | |
4343 | { 0.54684250413264535, 0.40000000000000013, 0.40000000000000002, | |
4344 | 0.52359877559829882, 0.0 }, | |
4345 | { 0.75355027742668290, 0.40000000000000013, 0.40000000000000002, | |
4346 | 0.69813170079773179, 0.0 }, | |
4347 | { 0.98117935026780634, 0.40000000000000013, 0.40000000000000002, | |
4348 | 0.87266462599716477, 0.0 }, | |
4349 | { 1.2337464222030736, 0.40000000000000013, 0.40000000000000002, | |
4350 | 1.0471975511965976, 0.0 }, | |
4351 | { 1.5125183419289221, 0.40000000000000013, 0.40000000000000002, | |
4352 | 1.2217304763960306, 0.0 }, | |
4353 | { 1.8140224451130313, 0.40000000000000013, 0.40000000000000002, | |
4354 | 1.3962634015954636, 0.0 }, | |
4355 | { 2.1289968719280026, 0.40000000000000013, 0.40000000000000002, | |
4356 | 1.5707963267948966, 0.0 }, | |
4357 | }; | |
4358 | const double toler135 = 2.5000000000000020e-13; | |
4359 | ||
4360 | // Test data for k=0.40000000000000013, nu=0.50000000000000000. | |
4361 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 | |
4362 | // max(|f - f_Boost| / |f_Boost|): 5.7013794022122431e-16 | |
4363 | // mean(f - f_Boost): 2.3037127760972000e-16 | |
4364 | // variance(f - f_Boost): 1.4989821857033475e-31 | |
4365 | // stddev(f - f_Boost): 3.8716691306248618e-16 | |
4366 | const testcase_ellint_3<double> | |
4367 | data136[10] = | |
4368 | { | |
4369 | { 0.0000000000000000, 0.40000000000000013, 0.50000000000000000, | |
4370 | 0.0000000000000000, 0.0 }, | |
4371 | { 0.17556422235224273, 0.40000000000000013, 0.50000000000000000, | |
4372 | 0.17453292519943295, 0.0 }, | |
4373 | { 0.35739675341763921, 0.40000000000000013, 0.50000000000000000, | |
4374 | 0.34906585039886590, 0.0 }, | |
4375 | { 0.55214655195037188, 0.40000000000000013, 0.50000000000000000, | |
4376 | 0.52359877559829882, 0.0 }, | |
4377 | { 0.76709520942047438, 0.40000000000000013, 0.50000000000000000, | |
4378 | 0.69813170079773179, 0.0 }, | |
4379 | { 1.0100278761577499, 0.40000000000000013, 0.50000000000000000, | |
4380 | 0.87266462599716477, 0.0 }, | |
4381 | { 1.2882265661384342, 0.40000000000000013, 0.50000000000000000, | |
4382 | 1.0471975511965976, 0.0 }, | |
4383 | { 1.6059059780051876, 0.40000000000000013, 0.50000000000000000, | |
4384 | 1.2217304763960306, 0.0 }, | |
4385 | { 1.9600182740224081, 0.40000000000000013, 0.50000000000000000, | |
4386 | 1.3962634015954636, 0.0 }, | |
4387 | { 2.3367461373176512, 0.40000000000000013, 0.50000000000000000, | |
4388 | 1.5707963267948966, 0.0 }, | |
4389 | }; | |
4390 | const double toler136 = 2.5000000000000020e-13; | |
4391 | ||
4392 | // Test data for k=0.40000000000000013, nu=0.60000000000000009. | |
4393 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 9 | |
4394 | // max(|f - f_Boost| / |f_Boost|): 8.4792115132836117e-16 | |
4395 | // mean(f - f_Boost): 2.3037127760972000e-16 | |
4396 | // variance(f - f_Boost): 4.8893797490374802e-31 | |
4397 | // stddev(f - f_Boost): 6.9924099915819294e-16 | |
4398 | const testcase_ellint_3<double> | |
4399 | data137[10] = | |
4400 | { | |
4401 | { 0.0000000000000000, 0.40000000000000013, 0.60000000000000009, | |
4402 | 0.0000000000000000, 0.0 }, | |
4403 | { 0.17574420264267029, 0.40000000000000013, 0.60000000000000009, | |
4404 | 0.17453292519943295, 0.0 }, | |
4405 | { 0.35890463689046265, 0.40000000000000013, 0.60000000000000009, | |
4406 | 0.34906585039886590, 0.0 }, | |
4407 | { 0.55763773975194486, 0.40000000000000013, 0.60000000000000009, | |
4408 | 0.52359877559829882, 0.0 }, | |
4409 | { 0.78153324227761267, 0.40000000000000013, 0.60000000000000009, | |
4410 | 0.69813170079773179, 0.0 }, | |
4411 | { 1.0420205885765887, 0.40000000000000013, 0.60000000000000009, | |
4412 | 0.87266462599716477, 0.0 }, | |
4413 | { 1.3517205230381770, 0.40000000000000013, 0.60000000000000009, | |
4414 | 1.0471975511965976, 0.0 }, | |
4415 | { 1.7210360970313896, 0.40000000000000013, 0.60000000000000009, | |
4416 | 1.2217304763960306, 0.0 }, | |
4417 | { 2.1500780510169246, 0.40000000000000013, 0.60000000000000009, | |
4418 | 1.3962634015954636, 0.0 }, | |
4419 | { 2.6186940209850191, 0.40000000000000013, 0.60000000000000009, | |
4420 | 1.5707963267948966, 0.0 }, | |
4421 | }; | |
4422 | const double toler137 = 2.5000000000000020e-13; | |
4423 | ||
4424 | // Test data for k=0.40000000000000013, nu=0.70000000000000007. | |
4425 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
4426 | // max(|f - f_Boost| / |f_Boost|): 5.8573292020719759e-16 | |
4427 | // mean(f - f_Boost): 2.2759572004815707e-16 | |
4428 | // variance(f - f_Boost): 2.9613098824898137e-31 | |
4429 | // stddev(f - f_Boost): 5.4417918762938862e-16 | |
4430 | const testcase_ellint_3<double> | |
4431 | data138[10] = | |
4432 | { | |
4433 | { 0.0000000000000000, 0.40000000000000013, 0.70000000000000007, | |
4434 | 0.0000000000000000, 0.0 }, | |
4435 | { 0.17592484806010436, 0.40000000000000013, 0.70000000000000007, | |
4436 | 0.17453292519943295, 0.0 }, | |
4437 | { 0.36043555139631439, 0.40000000000000013, 0.70000000000000007, | |
4438 | 0.34906585039886590, 0.0 }, | |
4439 | { 0.56332813669944881, 0.40000000000000013, 0.70000000000000007, | |
4440 | 0.52359877559829882, 0.0 }, | |
4441 | { 0.79697424562157548, 0.40000000000000013, 0.70000000000000007, | |
4442 | 0.69813170079773179, 0.0 }, | |
4443 | { 1.0778155987523672, 0.40000000000000013, 0.70000000000000007, | |
4444 | 0.87266462599716477, 0.0 }, | |
4445 | { 1.4272018169896268, 0.40000000000000013, 0.70000000000000007, | |
4446 | 1.0471975511965976, 0.0 }, | |
4447 | { 1.8684377907453382, 0.40000000000000013, 0.70000000000000007, | |
4448 | 1.2217304763960306, 0.0 }, | |
4449 | { 2.4128677409207473, 0.40000000000000013, 0.70000000000000007, | |
4450 | 1.3962634015954636, 0.0 }, | |
4451 | { 3.0327078743873246, 0.40000000000000013, 0.70000000000000007, | |
4452 | 1.5707963267948966, 0.0 }, | |
4453 | }; | |
4454 | const double toler138 = 2.5000000000000020e-13; | |
4455 | ||
4456 | // Test data for k=0.40000000000000013, nu=0.80000000000000004. | |
4457 | // max(|f - f_Boost|): 3.5527136788005009e-15 at index 9 | |
4458 | // max(|f - f_Boost| / |f_Boost|): 9.5273712585384737e-16 | |
4459 | // mean(f - f_Boost): 4.5241588253475131e-16 | |
4460 | // variance(f - f_Boost): 1.1866477068555882e-30 | |
4461 | // stddev(f - f_Boost): 1.0893336067778265e-15 | |
4462 | const testcase_ellint_3<double> | |
4463 | data139[10] = | |
4464 | { | |
4465 | { 0.0000000000000000, 0.40000000000000013, 0.80000000000000004, | |
4466 | 0.0000000000000000, 0.0 }, | |
4467 | { 0.17610616300487833, 0.40000000000000013, 0.80000000000000004, | |
4468 | 0.17453292519943295, 0.0 }, | |
4469 | { 0.36199013167171978, 0.40000000000000013, 0.80000000000000004, | |
4470 | 0.34906585039886590, 0.0 }, | |
4471 | { 0.56923097361842434, 0.40000000000000013, 0.80000000000000004, | |
4472 | 0.52359877559829882, 0.0 }, | |
4473 | { 0.81354878456624347, 0.40000000000000013, 0.80000000000000004, | |
4474 | 0.69813170079773179, 0.0 }, | |
4475 | { 1.1182902719261825, 0.40000000000000013, 0.80000000000000004, | |
4476 | 0.87266462599716477, 0.0 }, | |
4477 | { 1.5192950589409022, 0.40000000000000013, 0.80000000000000004, | |
4478 | 1.0471975511965976, 0.0 }, | |
4479 | { 2.0678761710223981, 0.40000000000000013, 0.80000000000000004, | |
4480 | 1.2217304763960306, 0.0 }, | |
4481 | { 2.8135222249879788, 0.40000000000000013, 0.80000000000000004, | |
4482 | 1.3962634015954636, 0.0 }, | |
4483 | { 3.7289548002199902, 0.40000000000000013, 0.80000000000000004, | |
4484 | 1.5707963267948966, 0.0 }, | |
4485 | }; | |
4486 | const double toler139 = 2.5000000000000020e-13; | |
4487 | ||
4488 | // Test data for k=0.40000000000000013, nu=0.90000000000000002. | |
4489 | // max(|f - f_Boost|): 6.2172489379008766e-15 at index 9 | |
4490 | // max(|f - f_Boost| / |f_Boost|): 1.1718379478872251e-15 | |
4491 | // mean(f - f_Boost): 8.4099394115355610e-16 | |
4492 | // variance(f - f_Boost): 3.5684096037099424e-30 | |
4493 | // stddev(f - f_Boost): 1.8890234523980751e-15 | |
4494 | const testcase_ellint_3<double> | |
4495 | data140[10] = | |
4496 | { | |
4497 | { 0.0000000000000000, 0.40000000000000013, 0.90000000000000002, | |
4498 | 0.0000000000000000, 0.0 }, | |
4499 | { 0.17628815191971123, 0.40000000000000013, 0.90000000000000002, | |
4500 | 0.17453292519943295, 0.0 }, | |
4501 | { 0.36356903815378772, 0.40000000000000013, 0.90000000000000002, | |
4502 | 0.34906585039886590, 0.0 }, | |
4503 | { 0.57536079447000310, 0.40000000000000013, 0.90000000000000002, | |
4504 | 0.52359877559829882, 0.0 }, | |
4505 | { 0.83141355850172571, 0.40000000000000013, 0.90000000000000002, | |
4506 | 0.69813170079773179, 0.0 }, | |
4507 | { 1.1646481598721361, 0.40000000000000013, 0.90000000000000002, | |
4508 | 0.87266462599716477, 0.0 }, | |
4509 | { 1.6357275034001995, 0.40000000000000013, 0.90000000000000002, | |
4510 | 1.0471975511965976, 0.0 }, | |
4511 | { 2.3628787566572402, 0.40000000000000013, 0.90000000000000002, | |
4512 | 1.2217304763960306, 0.0 }, | |
4513 | { 3.5521010369134962, 0.40000000000000013, 0.90000000000000002, | |
4514 | 1.3962634015954636, 0.0 }, | |
4515 | { 5.3055535102872513, 0.40000000000000013, 0.90000000000000002, | |
4516 | 1.5707963267948966, 0.0 }, | |
4517 | }; | |
4518 | const double toler140 = 2.5000000000000020e-13; | |
7c62b943 BK |
4519 | |
4520 | // Test data for k=0.50000000000000000, nu=0.0000000000000000. | |
b4688136 ESR |
4521 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
4522 | // max(|f - f_Boost| / |f_Boost|): 3.4551389361831220e-16 | |
4523 | // mean(f - f_Boost): -1.3877787807814457e-17 | |
4524 | // variance(f - f_Boost): 2.5893058141206173e-32 | |
4525 | // stddev(f - f_Boost): 1.6091320064309879e-16 | |
4526 | const testcase_ellint_3<double> | |
4527 | data141[10] = | |
4528 | { | |
4529 | { 0.0000000000000000, 0.50000000000000000, 0.0000000000000000, | |
4530 | 0.0000000000000000, 0.0 }, | |
4531 | { 0.17475385514035785, 0.50000000000000000, 0.0000000000000000, | |
4532 | 0.17453292519943295, 0.0 }, | |
4533 | { 0.35081868470101579, 0.50000000000000000, 0.0000000000000000, | |
4534 | 0.34906585039886590, 0.0 }, | |
4535 | { 0.52942862705190574, 0.50000000000000000, 0.0000000000000000, | |
4536 | 0.52359877559829882, 0.0 }, | |
4537 | { 0.71164727562630326, 0.50000000000000000, 0.0000000000000000, | |
4538 | 0.69813170079773179, 0.0 }, | |
4539 | { 0.89824523594227768, 0.50000000000000000, 0.0000000000000000, | |
4540 | 0.87266462599716477, 0.0 }, | |
4541 | { 1.0895506700518853, 0.50000000000000000, 0.0000000000000000, | |
4542 | 1.0471975511965976, 0.0 }, | |
4543 | { 1.2853005857432933, 0.50000000000000000, 0.0000000000000000, | |
4544 | 1.2217304763960306, 0.0 }, | |
4545 | { 1.4845545520549488, 0.50000000000000000, 0.0000000000000000, | |
4546 | 1.3962634015954636, 0.0 }, | |
4547 | { 1.6857503548125961, 0.50000000000000000, 0.0000000000000000, | |
4548 | 1.5707963267948966, 0.0 }, | |
4549 | }; | |
4550 | const double toler141 = 2.5000000000000020e-13; | |
7c62b943 BK |
4551 | |
4552 | // Test data for k=0.50000000000000000, nu=0.10000000000000001. | |
b4688136 ESR |
4553 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 9 |
4554 | // max(|f - f_Boost| / |f_Boost|): 3.7416868347177582e-16 | |
4555 | // mean(f - f_Boost): 2.7755575615628915e-18 | |
4556 | // variance(f - f_Boost): 5.4326441655972001e-32 | |
4557 | // stddev(f - f_Boost): 2.3308033305273100e-16 | |
4558 | const testcase_ellint_3<double> | |
4559 | data142[10] = | |
4560 | { | |
4561 | { 0.0000000000000000, 0.50000000000000000, 0.10000000000000001, | |
4562 | 0.0000000000000000, 0.0 }, | |
4563 | { 0.17493071928248824, 0.50000000000000000, 0.10000000000000001, | |
4564 | 0.17453292519943295, 0.0 }, | |
4565 | { 0.35222467688034798, 0.50000000000000000, 0.10000000000000001, | |
4566 | 0.34906585039886590, 0.0 }, | |
4567 | { 0.53411928652008112, 0.50000000000000000, 0.10000000000000001, | |
4568 | 0.52359877559829882, 0.0 }, | |
4569 | { 0.72256398117177589, 0.50000000000000000, 0.10000000000000001, | |
4570 | 0.69813170079773179, 0.0 }, | |
4571 | { 0.91899583232771009, 0.50000000000000000, 0.10000000000000001, | |
4572 | 0.87266462599716477, 0.0 }, | |
4573 | { 1.1240549163055360, 0.50000000000000000, 0.10000000000000001, | |
4574 | 1.0471975511965976, 0.0 }, | |
4575 | { 1.3372938086286021, 0.50000000000000000, 0.10000000000000001, | |
4576 | 1.2217304763960306, 0.0 }, | |
4577 | { 1.5570024469132429, 0.50000000000000000, 0.10000000000000001, | |
4578 | 1.3962634015954636, 0.0 }, | |
4579 | { 1.7803034946545480, 0.50000000000000000, 0.10000000000000001, | |
4580 | 1.5707963267948966, 0.0 }, | |
4581 | }; | |
4582 | const double toler142 = 2.5000000000000020e-13; | |
7c62b943 BK |
4583 | |
4584 | // Test data for k=0.50000000000000000, nu=0.20000000000000001. | |
b4688136 ESR |
4585 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 9 |
4586 | // max(|f - f_Boost| / |f_Boost|): 4.1198767993730867e-16 | |
4587 | // mean(f - f_Boost): 2.7755575615628914e-17 | |
4588 | // variance(f - f_Boost): 5.0311947683004831e-32 | |
4589 | // stddev(f - f_Boost): 2.2430324938128922e-16 | |
4590 | const testcase_ellint_3<double> | |
4591 | data143[10] = | |
4592 | { | |
4593 | { 0.0000000000000000, 0.50000000000000000, 0.20000000000000001, | |
4594 | 0.0000000000000000, 0.0 }, | |
4595 | { 0.17510822779582402, 0.50000000000000000, 0.20000000000000001, | |
4596 | 0.17453292519943295, 0.0 }, | |
4597 | { 0.35365094725531487, 0.50000000000000000, 0.20000000000000001, | |
4598 | 0.34906585039886590, 0.0 }, | |
4599 | { 0.53895933237328697, 0.50000000000000000, 0.20000000000000001, | |
4600 | 0.52359877559829882, 0.0 }, | |
4601 | { 0.73408090840070794, 0.50000000000000000, 0.20000000000000001, | |
4602 | 0.69813170079773179, 0.0 }, | |
4603 | { 0.94145442818535396, 0.50000000000000000, 0.20000000000000001, | |
4604 | 0.87266462599716477, 0.0 }, | |
4605 | { 1.1624120186296487, 0.50000000000000000, 0.20000000000000001, | |
4606 | 1.0471975511965976, 0.0 }, | |
4607 | { 1.3965823372867114, 0.50000000000000000, 0.20000000000000001, | |
4608 | 1.2217304763960306, 0.0 }, | |
4609 | { 1.6414308440430099, 0.50000000000000000, 0.20000000000000001, | |
4610 | 1.3962634015954636, 0.0 }, | |
4611 | { 1.8922947612264018, 0.50000000000000000, 0.20000000000000001, | |
4612 | 1.5707963267948966, 0.0 }, | |
4613 | }; | |
4614 | const double toler143 = 2.5000000000000020e-13; | |
4615 | ||
4616 | // Test data for k=0.50000000000000000, nu=0.30000000000000004. | |
4617 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 | |
4618 | // max(|f - f_Boost| / |f_Boost|): 4.3800262770228813e-16 | |
4619 | // mean(f - f_Boost): 5.8286708792820721e-17 | |
4620 | // variance(f - f_Boost): 8.5027191584278157e-32 | |
4621 | // stddev(f - f_Boost): 2.9159422419567599e-16 | |
4622 | const testcase_ellint_3<double> | |
4623 | data144[10] = | |
4624 | { | |
4625 | { 0.0000000000000000, 0.50000000000000000, 0.30000000000000004, | |
4626 | 0.0000000000000000, 0.0 }, | |
4627 | { 0.17528638488102041, 0.50000000000000000, 0.30000000000000004, | |
4628 | 0.17453292519943295, 0.0 }, | |
4629 | { 0.35509802222332720, 0.50000000000000000, 0.30000000000000004, | |
4630 | 0.34906585039886590, 0.0 }, | |
4631 | { 0.54395740731866193, 0.50000000000000000, 0.30000000000000004, | |
4632 | 0.52359877559829882, 0.0 }, | |
4633 | { 0.74625871438752667, 0.50000000000000000, 0.30000000000000004, | |
4634 | 0.69813170079773179, 0.0 }, | |
4635 | { 0.96588271186092023, 0.50000000000000000, 0.30000000000000004, | |
4636 | 0.87266462599716477, 0.0 }, | |
4637 | { 1.2054319584357329, 0.50000000000000000, 0.30000000000000004, | |
4638 | 1.0471975511965976, 0.0 }, | |
4639 | { 1.4651077994832871, 0.50000000000000000, 0.30000000000000004, | |
4640 | 1.2217304763960306, 0.0 }, | |
4641 | { 1.7416018368052644, 0.50000000000000000, 0.30000000000000004, | |
4642 | 1.3962634015954636, 0.0 }, | |
4643 | { 2.0277924458111314, 0.50000000000000000, 0.30000000000000004, | |
4644 | 1.5707963267948966, 0.0 }, | |
4645 | }; | |
4646 | const double toler144 = 2.5000000000000020e-13; | |
7c62b943 BK |
4647 | |
4648 | // Test data for k=0.50000000000000000, nu=0.40000000000000002. | |
b4688136 ESR |
4649 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 |
4650 | // max(|f - f_Boost| / |f_Boost|): 4.0439932918341581e-16 | |
4651 | // mean(f - f_Boost): 3.0531133177191807e-17 | |
4652 | // variance(f - f_Boost): 9.0809736800018602e-32 | |
4653 | // stddev(f - f_Boost): 3.0134653938616686e-16 | |
4654 | const testcase_ellint_3<double> | |
4655 | data145[10] = | |
4656 | { | |
4657 | { 0.0000000000000000, 0.50000000000000000, 0.40000000000000002, | |
4658 | 0.0000000000000000, 0.0 }, | |
4659 | { 0.17546519477859268, 0.50000000000000000, 0.40000000000000002, | |
4660 | 0.17453292519943295, 0.0 }, | |
4661 | { 0.35656644822531680, 0.50000000000000000, 0.40000000000000002, | |
4662 | 0.34906585039886590, 0.0 }, | |
4663 | { 0.54912289677411319, 0.50000000000000000, 0.40000000000000002, | |
4664 | 0.52359877559829882, 0.0 }, | |
4665 | { 0.75916731611690047, 0.50000000000000000, 0.40000000000000002, | |
4666 | 0.69813170079773179, 0.0 }, | |
4667 | { 0.99260415631328214, 0.50000000000000000, 0.40000000000000002, | |
4668 | 0.87266462599716477, 0.0 }, | |
4669 | { 1.2541925856918670, 0.50000000000000000, 0.40000000000000002, | |
4670 | 1.0471975511965976, 0.0 }, | |
4671 | { 1.5456393705347609, 0.50000000000000000, 0.40000000000000002, | |
4672 | 1.2217304763960306, 0.0 }, | |
4673 | { 1.8631904972952076, 0.50000000000000000, 0.40000000000000002, | |
4674 | 1.3962634015954636, 0.0 }, | |
4675 | { 2.1962905366178065, 0.50000000000000000, 0.40000000000000002, | |
4676 | 1.5707963267948966, 0.0 }, | |
4677 | }; | |
4678 | const double toler145 = 2.5000000000000020e-13; | |
7c62b943 BK |
4679 | |
4680 | // Test data for k=0.50000000000000000, nu=0.50000000000000000. | |
b4688136 ESR |
4681 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 9 |
4682 | // max(|f - f_Boost| / |f_Boost|): 3.6797816859260978e-16 | |
4683 | // mean(f - f_Boost): 9.4368957093138303e-17 | |
4684 | // variance(f - f_Boost): 7.7794254682023874e-32 | |
4685 | // stddev(f - f_Boost): 2.7891621444803792e-16 | |
4686 | const testcase_ellint_3<double> | |
4687 | data146[10] = | |
4688 | { | |
4689 | { 0.0000000000000000, 0.50000000000000000, 0.50000000000000000, | |
4690 | 0.0000000000000000, 0.0 }, | |
4691 | { 0.17564466176941509, 0.50000000000000000, 0.50000000000000000, | |
4692 | 0.17453292519943295, 0.0 }, | |
4693 | { 0.35805679276065394, 0.50000000000000000, 0.50000000000000000, | |
4694 | 0.34906585039886590, 0.0 }, | |
4695 | { 0.55446601496200032, 0.50000000000000000, 0.50000000000000000, | |
4696 | 0.52359877559829882, 0.0 }, | |
4697 | { 0.77288783578259013, 0.50000000000000000, 0.50000000000000000, | |
4698 | 0.69813170079773179, 0.0 }, | |
4699 | { 1.0220246013918972, 0.50000000000000000, 0.50000000000000000, | |
4700 | 0.87266462599716477, 0.0 }, | |
4701 | { 1.3101681612463965, 0.50000000000000000, 0.50000000000000000, | |
4702 | 1.0471975511965976, 0.0 }, | |
4703 | { 1.6422994881851025, 0.50000000000000000, 0.50000000000000000, | |
4704 | 1.2217304763960306, 0.0 }, | |
4705 | { 2.0152636030998816, 0.50000000000000000, 0.50000000000000000, | |
4706 | 1.3962634015954636, 0.0 }, | |
4707 | { 2.4136715042011945, 0.50000000000000000, 0.50000000000000000, | |
4708 | 1.5707963267948966, 0.0 }, | |
4709 | }; | |
4710 | const double toler146 = 2.5000000000000020e-13; | |
4711 | ||
4712 | // Test data for k=0.50000000000000000, nu=0.60000000000000009. | |
4713 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 | |
4714 | // max(|f - f_Boost| / |f_Boost|): 4.9178421578645735e-16 | |
4715 | // mean(f - f_Boost): 1.3322676295501878e-16 | |
4716 | // variance(f - f_Boost): 1.7749370367472766e-31 | |
4717 | // stddev(f - f_Boost): 4.2130001622920411e-16 | |
4718 | const testcase_ellint_3<double> | |
4719 | data147[10] = | |
4720 | { | |
4721 | { 0.0000000000000000, 0.50000000000000000, 0.60000000000000009, | |
4722 | 0.0000000000000000, 0.0 }, | |
4723 | { 0.17582479017522740, 0.50000000000000000, 0.60000000000000009, | |
4724 | 0.17453292519943295, 0.0 }, | |
4725 | { 0.35956964546660036, 0.50000000000000000, 0.60000000000000009, | |
4726 | 0.34906585039886590, 0.0 }, | |
4727 | { 0.55999790372984193, 0.50000000000000000, 0.60000000000000009, | |
4728 | 0.52359877559829882, 0.0 }, | |
4729 | { 0.78751507911209895, 0.50000000000000000, 0.60000000000000009, | |
4730 | 0.69813170079773179, 0.0 }, | |
4731 | { 1.0546620505035220, 0.50000000000000000, 0.60000000000000009, | |
4732 | 0.87266462599716477, 0.0 }, | |
4733 | { 1.3754438357425935, 0.50000000000000000, 0.60000000000000009, | |
4734 | 1.0471975511965976, 0.0 }, | |
4735 | { 1.7615727400820127, 0.50000000000000000, 0.60000000000000009, | |
4736 | 1.2217304763960306, 0.0 }, | |
4737 | { 2.2134638067565242, 0.50000000000000000, 0.60000000000000009, | |
4738 | 1.3962634015954636, 0.0 }, | |
4739 | { 2.7090491861753558, 0.50000000000000000, 0.60000000000000009, | |
4740 | 1.5707963267948966, 0.0 }, | |
4741 | }; | |
4742 | const double toler147 = 2.5000000000000020e-13; | |
4743 | ||
4744 | // Test data for k=0.50000000000000000, nu=0.70000000000000007. | |
4745 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 | |
4746 | // max(|f - f_Boost| / |f_Boost|): 3.0745105182189226e-16 | |
4747 | // mean(f - f_Boost): 4.1633363423443370e-17 | |
4748 | // variance(f - f_Boost): 1.9996383743576116e-32 | |
4749 | // stddev(f - f_Boost): 1.4140857026211713e-16 | |
4750 | const testcase_ellint_3<double> | |
4751 | data148[10] = | |
4752 | { | |
4753 | { 0.0000000000000000, 0.50000000000000000, 0.70000000000000007, | |
4754 | 0.0000000000000000, 0.0 }, | |
4755 | { 0.17600558435914915, 0.50000000000000000, 0.70000000000000007, | |
4756 | 0.17453292519943295, 0.0 }, | |
4757 | { 0.36110561926726259, 0.50000000000000000, 0.70000000000000007, | |
4758 | 0.34906585039886590, 0.0 }, | |
4759 | { 0.56573074641137111, 0.50000000000000000, 0.70000000000000007, | |
4760 | 0.52359877559829882, 0.0 }, | |
4761 | { 0.80316073084237205, 0.50000000000000000, 0.70000000000000007, | |
4762 | 0.69813170079773179, 0.0 }, | |
4763 | { 1.0911910688131461, 0.50000000000000000, 0.70000000000000007, | |
4764 | 0.87266462599716477, 0.0 }, | |
4765 | { 1.4530946406380640, 0.50000000000000000, 0.70000000000000007, | |
4766 | 1.0471975511965976, 0.0 }, | |
4767 | { 1.9144386536785372, 0.50000000000000000, 0.70000000000000007, | |
4768 | 1.2217304763960306, 0.0 }, | |
4769 | { 2.4878788958234970, 0.50000000000000000, 0.70000000000000007, | |
4770 | 1.3962634015954636, 0.0 }, | |
4771 | { 3.1433945297859225, 0.50000000000000000, 0.70000000000000007, | |
4772 | 1.5707963267948966, 0.0 }, | |
4773 | }; | |
4774 | const double toler148 = 2.5000000000000020e-13; | |
7c62b943 BK |
4775 | |
4776 | // Test data for k=0.50000000000000000, nu=0.80000000000000004. | |
b4688136 ESR |
4777 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 9 |
4778 | // max(|f - f_Boost| / |f_Boost|): 3.4380477375534667e-16 | |
4779 | // mean(f - f_Boost): 2.3037127760972000e-16 | |
4780 | // variance(f - f_Boost): 1.4989821857033475e-31 | |
4781 | // stddev(f - f_Boost): 3.8716691306248618e-16 | |
4782 | const testcase_ellint_3<double> | |
4783 | data149[10] = | |
4784 | { | |
4785 | { 0.0000000000000000, 0.50000000000000000, 0.80000000000000004, | |
4786 | 0.0000000000000000, 0.0 }, | |
4787 | { 0.17618704872620228, 0.50000000000000000, 0.80000000000000004, | |
4788 | 0.17453292519943295, 0.0 }, | |
4789 | { 0.36266535159745827, 0.50000000000000000, 0.80000000000000004, | |
4790 | 0.34906585039886590, 0.0 }, | |
4791 | { 0.57167789954529158, 0.50000000000000000, 0.80000000000000004, | |
4792 | 0.52359877559829882, 0.0 }, | |
4793 | { 0.81995752984315018, 0.50000000000000000, 0.80000000000000004, | |
4794 | 0.69813170079773179, 0.0 }, | |
4795 | { 1.1325112162158122, 0.50000000000000000, 0.80000000000000004, | |
4796 | 0.87266462599716477, 0.0 }, | |
4797 | { 1.5479055930718042, 0.50000000000000000, 0.80000000000000004, | |
4798 | 1.0471975511965976, 0.0 }, | |
4799 | { 2.1215243941010486, 0.50000000000000000, 0.80000000000000004, | |
4800 | 1.2217304763960306, 0.0 }, | |
4801 | { 2.9069405767650132, 0.50000000000000000, 0.80000000000000004, | |
4802 | 1.3962634015954636, 0.0 }, | |
4803 | { 3.8750701888108066, 0.50000000000000000, 0.80000000000000004, | |
4804 | 1.5707963267948966, 0.0 }, | |
4805 | }; | |
4806 | const double toler149 = 2.5000000000000020e-13; | |
7c62b943 BK |
4807 | |
4808 | // Test data for k=0.50000000000000000, nu=0.90000000000000002. | |
b4688136 ESR |
4809 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 |
4810 | // max(|f - f_Boost| / |f_Boost|): 3.6192315188521289e-16 | |
4811 | // mean(f - f_Boost): 3.5249581031848718e-16 | |
4812 | // variance(f - f_Boost): 2.5029385557256515e-31 | |
4813 | // stddev(f - f_Boost): 5.0029376927217987e-16 | |
4814 | const testcase_ellint_3<double> | |
4815 | data150[10] = | |
4816 | { | |
4817 | { 0.0000000000000000, 0.50000000000000000, 0.90000000000000002, | |
4818 | 0.0000000000000000, 0.0 }, | |
4819 | { 0.17636918772384180, 0.50000000000000000, 0.90000000000000002, | |
4820 | 0.17453292519943295, 0.0 }, | |
4821 | { 0.36424950570740700, 0.50000000000000000, 0.90000000000000002, | |
4822 | 0.34906585039886590, 0.0 }, | |
4823 | { 0.57785404590231426, 0.50000000000000000, 0.90000000000000002, | |
4824 | 0.52359877559829882, 0.0 }, | |
4825 | { 0.83806480521716531, 0.50000000000000000, 0.90000000000000002, | |
4826 | 0.69813170079773179, 0.0 }, | |
4827 | { 1.1798568683069752, 0.50000000000000000, 0.90000000000000002, | |
4828 | 0.87266462599716477, 0.0 }, | |
4829 | { 1.6678766243739607, 0.50000000000000000, 0.90000000000000002, | |
4830 | 1.0471975511965976, 0.0 }, | |
4831 | { 2.4282976450693483, 0.50000000000000000, 0.90000000000000002, | |
4832 | 1.2217304763960306, 0.0 }, | |
4833 | { 3.6810787666126656, 0.50000000000000000, 0.90000000000000002, | |
4834 | 1.3962634015954636, 0.0 }, | |
4835 | { 5.5355132096026454, 0.50000000000000000, 0.90000000000000002, | |
4836 | 1.5707963267948966, 0.0 }, | |
4837 | }; | |
4838 | const double toler150 = 2.5000000000000020e-13; | |
7c62b943 BK |
4839 | |
4840 | // Test data for k=0.60000000000000009, nu=0.0000000000000000. | |
b4688136 ESR |
4841 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
4842 | // max(|f - f_Boost| / |f_Boost|): 3.3664899092028927e-16 | |
4843 | // mean(f - f_Boost): 3.0531133177191807e-17 | |
4844 | // variance(f - f_Boost): 7.8758646268991113e-33 | |
4845 | // stddev(f - f_Boost): 8.8746068233466605e-17 | |
4846 | const testcase_ellint_3<double> | |
4847 | data151[10] = | |
4848 | { | |
4849 | { 0.0000000000000000, 0.60000000000000009, 0.0000000000000000, | |
4850 | 0.0000000000000000, 0.0 }, | |
4851 | { 0.17485154362988359, 0.60000000000000009, 0.0000000000000000, | |
4852 | 0.17453292519943295, 0.0 }, | |
4853 | { 0.35160509865544320, 0.60000000000000009, 0.0000000000000000, | |
4854 | 0.34906585039886590, 0.0 }, | |
4855 | { 0.53210652578446138, 0.60000000000000009, 0.0000000000000000, | |
4856 | 0.52359877559829882, 0.0 }, | |
4857 | { 0.71805304664485659, 0.60000000000000009, 0.0000000000000000, | |
4858 | 0.69813170079773179, 0.0 }, | |
4859 | { 0.91082759030195981, 0.60000000000000009, 0.0000000000000000, | |
4860 | 0.87266462599716477, 0.0 }, | |
4861 | { 1.1112333229323361, 0.60000000000000009, 0.0000000000000000, | |
4862 | 1.0471975511965976, 0.0 }, | |
4863 | { 1.3191461190365270, 0.60000000000000009, 0.0000000000000000, | |
4864 | 1.2217304763960306, 0.0 }, | |
4865 | { 1.5332022105084779, 0.60000000000000009, 0.0000000000000000, | |
4866 | 1.3962634015954636, 0.0 }, | |
4867 | { 1.7507538029157526, 0.60000000000000009, 0.0000000000000000, | |
4868 | 1.5707963267948966, 0.0 }, | |
4869 | }; | |
4870 | const double toler151 = 2.5000000000000020e-13; | |
7c62b943 BK |
4871 | |
4872 | // Test data for k=0.60000000000000009, nu=0.10000000000000001. | |
b4688136 ESR |
4873 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
4874 | // max(|f - f_Boost| / |f_Boost|): 3.2335247010355137e-16 | |
4875 | // mean(f - f_Boost): 8.6042284408449634e-17 | |
4876 | // variance(f - f_Boost): 2.2835347143080263e-33 | |
4877 | // stddev(f - f_Boost): 4.7786344433405099e-17 | |
4878 | const testcase_ellint_3<double> | |
4879 | data152[10] = | |
4880 | { | |
4881 | { 0.0000000000000000, 0.60000000000000009, 0.10000000000000001, | |
4882 | 0.0000000000000000, 0.0 }, | |
4883 | { 0.17502858548476194, 0.60000000000000009, 0.10000000000000001, | |
4884 | 0.17453292519943295, 0.0 }, | |
4885 | { 0.35301673150537388, 0.60000000000000009, 0.10000000000000001, | |
4886 | 0.34906585039886590, 0.0 }, | |
4887 | { 0.53683932476326812, 0.60000000000000009, 0.10000000000000001, | |
4888 | 0.52359877559829882, 0.0 }, | |
4889 | { 0.72914228589586771, 0.60000000000000009, 0.10000000000000001, | |
4890 | 0.69813170079773179, 0.0 }, | |
4891 | { 0.93208036718354692, 0.60000000000000009, 0.10000000000000001, | |
4892 | 0.87266462599716477, 0.0 }, | |
4893 | { 1.1468984688863377, 0.60000000000000009, 0.10000000000000001, | |
4894 | 1.0471975511965976, 0.0 }, | |
4895 | { 1.3733904977062528, 0.60000000000000009, 0.10000000000000001, | |
4896 | 1.2217304763960306, 0.0 }, | |
4897 | { 1.6094225663372157, 0.60000000000000009, 0.10000000000000001, | |
4898 | 1.3962634015954636, 0.0 }, | |
4899 | { 1.8508766487100685, 0.60000000000000009, 0.10000000000000001, | |
4900 | 1.5707963267948966, 0.0 }, | |
4901 | }; | |
4902 | const double toler152 = 2.5000000000000020e-13; | |
7c62b943 BK |
4903 | |
4904 | // Test data for k=0.60000000000000009, nu=0.20000000000000001. | |
b4688136 ESR |
4905 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 9 |
4906 | // max(|f - f_Boost| / |f_Boost|): 2.2547200163366559e-16 | |
4907 | // mean(f - f_Boost): -2.4980018054066023e-17 | |
4908 | // variance(f - f_Boost): 2.1685495635542404e-32 | |
4909 | // stddev(f - f_Boost): 1.4725995937641163e-16 | |
4910 | const testcase_ellint_3<double> | |
4911 | data153[10] = | |
4912 | { | |
4913 | { 0.0000000000000000, 0.60000000000000009, 0.20000000000000001, | |
4914 | 0.0000000000000000, 0.0 }, | |
4915 | { 0.17520627248155893, 0.60000000000000009, 0.20000000000000001, | |
4916 | 0.17453292519943295, 0.0 }, | |
4917 | { 0.35444873935437748, 0.60000000000000009, 0.20000000000000001, | |
4918 | 0.34906585039886590, 0.0 }, | |
4919 | { 0.54172310557682524, 0.60000000000000009, 0.20000000000000001, | |
4920 | 0.52359877559829882, 0.0 }, | |
4921 | { 0.74084300280734672, 0.60000000000000009, 0.20000000000000001, | |
4922 | 0.69813170079773179, 0.0 }, | |
4923 | { 0.95509001527006121, 0.60000000000000009, 0.20000000000000001, | |
4924 | 0.87266462599716477, 0.0 }, | |
4925 | { 1.1865688084431796, 0.60000000000000009, 0.20000000000000001, | |
4926 | 1.0471975511965976, 0.0 }, | |
4927 | { 1.4352978868932600, 0.60000000000000009, 0.20000000000000001, | |
4928 | 1.2217304763960306, 0.0 }, | |
4929 | { 1.6983400371331818, 0.60000000000000009, 0.20000000000000001, | |
4930 | 1.3962634015954636, 0.0 }, | |
4931 | { 1.9695980282802217, 0.60000000000000009, 0.20000000000000001, | |
4932 | 1.5707963267948966, 0.0 }, | |
4933 | }; | |
4934 | const double toler153 = 2.5000000000000020e-13; | |
4935 | ||
4936 | // Test data for k=0.60000000000000009, nu=0.30000000000000004. | |
4937 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 | |
4938 | // max(|f - f_Boost| / |f_Boost|): 2.9470074709717020e-16 | |
4939 | // mean(f - f_Boost): 3.0531133177191807e-17 | |
4940 | // variance(f - f_Boost): 1.1508025840536076e-34 | |
4941 | // stddev(f - f_Boost): 1.0727546709539920e-17 | |
4942 | const testcase_ellint_3<double> | |
4943 | data154[10] = | |
4944 | { | |
4945 | { 0.0000000000000000, 0.60000000000000009, 0.30000000000000004, | |
4946 | 0.0000000000000000, 0.0 }, | |
4947 | { 0.17538460882640122, 0.60000000000000009, 0.30000000000000004, | |
4948 | 0.17453292519943295, 0.0 }, | |
4949 | { 0.35590165133735557, 0.60000000000000009, 0.30000000000000004, | |
4950 | 0.34906585039886590, 0.0 }, | |
4951 | { 0.54676661152254535, 0.60000000000000009, 0.30000000000000004, | |
4952 | 0.52359877559829882, 0.0 }, | |
4953 | { 0.75321709418305305, 0.60000000000000009, 0.30000000000000004, | |
4954 | 0.69813170079773179, 0.0 }, | |
4955 | { 0.98012637808992920, 0.60000000000000009, 0.30000000000000004, | |
4956 | 0.87266462599716477, 0.0 }, | |
4957 | { 1.2310891277158875, 0.60000000000000009, 0.30000000000000004, | |
4958 | 1.0471975511965976, 0.0 }, | |
4959 | { 1.5069157924585623, 0.60000000000000009, 0.30000000000000004, | |
4960 | 1.2217304763960306, 0.0 }, | |
4961 | { 1.8039583598337940, 0.60000000000000009, 0.30000000000000004, | |
4962 | 1.3962634015954636, 0.0 }, | |
4963 | { 2.1134154405060599, 0.60000000000000009, 0.30000000000000004, | |
4964 | 1.5707963267948966, 0.0 }, | |
4965 | }; | |
4966 | const double toler154 = 2.5000000000000020e-13; | |
7c62b943 BK |
4967 | |
4968 | // Test data for k=0.60000000000000009, nu=0.40000000000000002. | |
b4688136 ESR |
4969 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 7 |
4970 | // max(|f - f_Boost| / |f_Boost|): 2.8974839914337670e-16 | |
4971 | // mean(f - f_Boost): -1.3877787807814457e-17 | |
4972 | // variance(f - f_Boost): 2.2849613290816465e-32 | |
4973 | // stddev(f - f_Boost): 1.5116088545260797e-16 | |
4974 | const testcase_ellint_3<double> | |
4975 | data155[10] = | |
4976 | { | |
4977 | { 0.0000000000000000, 0.60000000000000009, 0.40000000000000002, | |
4978 | 0.0000000000000000, 0.0 }, | |
4979 | { 0.17556359876533037, 0.60000000000000009, 0.40000000000000002, | |
4980 | 0.17453292519943295, 0.0 }, | |
4981 | { 0.35737601674244679, 0.60000000000000009, 0.40000000000000002, | |
4982 | 0.34906585039886590, 0.0 }, | |
4983 | { 0.55197933771320218, 0.60000000000000009, 0.40000000000000002, | |
4984 | 0.52359877559829882, 0.0 }, | |
4985 | { 0.76633591620002905, 0.60000000000000009, 0.40000000000000002, | |
4986 | 0.69813170079773179, 0.0 }, | |
4987 | { 1.0075231136019616, 0.60000000000000009, 0.40000000000000002, | |
4988 | 0.87266462599716477, 0.0 }, | |
4989 | { 1.2815842073813450, 0.60000000000000009, 0.40000000000000002, | |
4990 | 1.0471975511965976, 0.0 }, | |
4991 | { 1.5911666941449827, 0.60000000000000009, 0.40000000000000002, | |
4992 | 1.2217304763960306, 0.0 }, | |
4993 | { 1.9323227566025762, 0.60000000000000009, 0.40000000000000002, | |
4994 | 1.3962634015954636, 0.0 }, | |
4995 | { 2.2925036420985130, 0.60000000000000009, 0.40000000000000002, | |
4996 | 1.5707963267948966, 0.0 }, | |
4997 | }; | |
4998 | const double toler155 = 2.5000000000000020e-13; | |
7c62b943 BK |
4999 | |
5000 | // Test data for k=0.60000000000000009, nu=0.50000000000000000. | |
b4688136 ESR |
5001 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 8 |
5002 | // max(|f - f_Boost| / |f_Boost|): 2.1397785842303966e-16 | |
5003 | // mean(f - f_Boost): 9.1593399531575410e-17 | |
5004 | // variance(f - f_Boost): 1.5339913122479866e-32 | |
5005 | // stddev(f - f_Boost): 1.2385440291923362e-16 | |
5006 | const testcase_ellint_3<double> | |
5007 | data156[10] = | |
5008 | { | |
5009 | { 0.0000000000000000, 0.60000000000000009, 0.50000000000000000, | |
5010 | 0.0000000000000000, 0.0 }, | |
5011 | { 0.17574324658480217, 0.60000000000000009, 0.50000000000000000, | |
5012 | 0.17453292519943295, 0.0 }, | |
5013 | { 0.35887240603169313, 0.60000000000000009, 0.50000000000000000, | |
5014 | 0.34906585039886590, 0.0 }, | |
5015 | { 0.55737161826345261, 0.60000000000000009, 0.50000000000000000, | |
5016 | 0.52359877559829882, 0.0 }, | |
5017 | { 0.78028227313077458, 0.60000000000000009, 0.50000000000000000, | |
5018 | 0.69813170079773179, 0.0 }, | |
5019 | { 1.0376989776486290, 0.60000000000000009, 0.50000000000000000, | |
5020 | 0.87266462599716477, 0.0 }, | |
5021 | { 1.3395933991042928, 0.60000000000000009, 0.50000000000000000, | |
5022 | 1.0471975511965976, 0.0 }, | |
5023 | { 1.6924049626591784, 0.60000000000000009, 0.50000000000000000, | |
5024 | 1.2217304763960306, 0.0 }, | |
5025 | { 2.0931011856518920, 0.60000000000000009, 0.50000000000000000, | |
5026 | 1.3962634015954636, 0.0 }, | |
5027 | { 2.5239007084492711, 0.60000000000000009, 0.50000000000000000, | |
5028 | 1.5707963267948966, 0.0 }, | |
5029 | }; | |
5030 | const double toler156 = 2.5000000000000020e-13; | |
5031 | ||
5032 | // Test data for k=0.60000000000000009, nu=0.60000000000000009. | |
5033 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 7 | |
5034 | // max(|f - f_Boost| / |f_Boost|): 3.6651378277398083e-16 | |
5035 | // mean(f - f_Boost): 1.1934897514720432e-16 | |
5036 | // variance(f - f_Boost): 1.7585404776158019e-33 | |
5037 | // stddev(f - f_Boost): 4.1934955319110598e-17 | |
5038 | const testcase_ellint_3<double> | |
5039 | data157[10] = | |
5040 | { | |
5041 | { 0.0000000000000000, 0.60000000000000009, 0.60000000000000009, | |
5042 | 0.0000000000000000, 0.0 }, | |
5043 | { 0.17592355661219386, 0.60000000000000009, 0.60000000000000009, | |
5044 | 0.17453292519943295, 0.0 }, | |
5045 | { 0.36039141192661606, 0.60000000000000009, 0.60000000000000009, | |
5046 | 0.34906585039886590, 0.0 }, | |
5047 | { 0.56295472636903854, 0.60000000000000009, 0.60000000000000009, | |
5048 | 0.52359877559829882, 0.0 }, | |
5049 | { 0.79515295130165986, 0.60000000000000009, 0.60000000000000009, | |
5050 | 0.69813170079773179, 0.0 }, | |
5051 | { 1.0711886441942242, 0.60000000000000009, 0.60000000000000009, | |
5052 | 0.87266462599716477, 0.0 }, | |
5053 | { 1.4072952835139891, 0.60000000000000009, 0.60000000000000009, | |
5054 | 1.0471975511965976, 0.0 }, | |
5055 | { 1.8174863977376825, 0.60000000000000009, 0.60000000000000009, | |
5056 | 1.2217304763960306, 0.0 }, | |
5057 | { 2.3029921578542232, 0.60000000000000009, 0.60000000000000009, | |
5058 | 1.3962634015954636, 0.0 }, | |
5059 | { 2.8388723099514972, 0.60000000000000009, 0.60000000000000009, | |
5060 | 1.5707963267948966, 0.0 }, | |
5061 | }; | |
5062 | const double toler157 = 2.5000000000000020e-13; | |
5063 | ||
5064 | // Test data for k=0.60000000000000009, nu=0.70000000000000007. | |
5065 | // max(|f - f_Boost|): 4.4408920985006262e-16 at index 9 | |
5066 | // max(|f - f_Boost| / |f_Boost|): 2.0027679235921772e-16 | |
5067 | // mean(f - f_Boost): -1.3877787807814457e-17 | |
5068 | // variance(f - f_Boost): 2.2849613290816465e-32 | |
5069 | // stddev(f - f_Boost): 1.5116088545260797e-16 | |
5070 | const testcase_ellint_3<double> | |
5071 | data158[10] = | |
5072 | { | |
5073 | { 0.0000000000000000, 0.60000000000000009, 0.70000000000000007, | |
5074 | 0.0000000000000000, 0.0 }, | |
5075 | { 0.17610453321631936, 0.60000000000000009, 0.70000000000000007, | |
5076 | 0.17453292519943295, 0.0 }, | |
5077 | { 0.36193365056369764, 0.60000000000000009, 0.70000000000000007, | |
5078 | 0.34906585039886590, 0.0 }, | |
5079 | { 0.56874098962268527, 0.60000000000000009, 0.70000000000000007, | |
5080 | 0.52359877559829882, 0.0 }, | |
5081 | { 0.81106198671477181, 0.60000000000000009, 0.70000000000000007, | |
5082 | 0.69813170079773179, 0.0 }, | |
5083 | { 1.1086886419010082, 0.60000000000000009, 0.70000000000000007, | |
5084 | 0.87266462599716477, 0.0 }, | |
5085 | { 1.4879048567239257, 0.60000000000000009, 0.70000000000000007, | |
5086 | 1.0471975511965976, 0.0 }, | |
5087 | { 1.9780310073615925, 0.60000000000000009, 0.70000000000000007, | |
5088 | 1.2217304763960306, 0.0 }, | |
5089 | { 2.5941545586772712, 0.60000000000000009, 0.70000000000000007, | |
5090 | 1.3962634015954636, 0.0 }, | |
5091 | { 3.3029735898397159, 0.60000000000000009, 0.70000000000000007, | |
5092 | 1.5707963267948966, 0.0 }, | |
5093 | }; | |
5094 | const double toler158 = 2.5000000000000020e-13; | |
7c62b943 BK |
5095 | |
5096 | // Test data for k=0.60000000000000009, nu=0.80000000000000004. | |
b4688136 ESR |
5097 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 8 |
5098 | // max(|f - f_Boost| / |f_Boost|): 7.3044933435043190e-16 | |
5099 | // mean(f - f_Boost): 2.6367796834847468e-16 | |
5100 | // variance(f - f_Boost): 8.5834655546147173e-33 | |
5101 | // stddev(f - f_Boost): 9.2646994309662939e-17 | |
5102 | const testcase_ellint_3<double> | |
5103 | data159[10] = | |
5104 | { | |
5105 | { 0.0000000000000000, 0.60000000000000009, 0.80000000000000004, | |
5106 | 0.0000000000000000, 0.0 }, | |
5107 | { 0.17628618080795252, 0.60000000000000009, 0.80000000000000004, | |
5108 | 0.17453292519943295, 0.0 }, | |
5109 | { 0.36349976272521012, 0.60000000000000009, 0.80000000000000004, | |
5110 | 0.34906585039886590, 0.0 }, | |
5111 | { 0.57474392342151914, 0.60000000000000009, 0.80000000000000004, | |
5112 | 0.52359877559829882, 0.0 }, | |
5113 | { 0.82814493499158170, 0.60000000000000009, 0.80000000000000004, | |
5114 | 0.69813170079773179, 0.0 }, | |
5115 | { 1.1511281795998280, 0.60000000000000009, 0.80000000000000004, | |
5116 | 0.87266462599716477, 0.0 }, | |
5117 | { 1.5864286332503075, 0.60000000000000009, 0.80000000000000004, | |
5118 | 1.0471975511965976, 0.0 }, | |
5119 | { 2.1958944866494527, 0.60000000000000009, 0.80000000000000004, | |
5120 | 1.2217304763960306, 0.0 }, | |
5121 | { 3.0398358172574604, 0.60000000000000009, 0.80000000000000004, | |
5122 | 1.3962634015954636, 0.0 }, | |
5123 | { 4.0867036409261832, 0.60000000000000009, 0.80000000000000004, | |
5124 | 1.5707963267948966, 0.0 }, | |
5125 | }; | |
5126 | const double toler159 = 2.5000000000000020e-13; | |
7c62b943 BK |
5127 | |
5128 | // Test data for k=0.60000000000000009, nu=0.90000000000000002. | |
b4688136 ESR |
5129 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 8 |
5130 | // max(|f - f_Boost| / |f_Boost|): 4.5952142720718732e-16 | |
5131 | // mean(f - f_Boost): 4.6351811278100284e-16 | |
5132 | // variance(f - f_Boost): 2.1278339779151204e-31 | |
5133 | // stddev(f - f_Boost): 4.6128450851021651e-16 | |
5134 | const testcase_ellint_3<double> | |
5135 | data160[10] = | |
5136 | { | |
5137 | { 0.0000000000000000, 0.60000000000000009, 0.90000000000000002, | |
5138 | 0.0000000000000000, 0.0 }, | |
5139 | { 0.17646850384035848, 0.60000000000000009, 0.90000000000000002, | |
5140 | 0.17453292519943295, 0.0 }, | |
5141 | { 0.36509041515134105, 0.60000000000000009, 0.90000000000000002, | |
5142 | 0.34906585039886590, 0.0 }, | |
5143 | { 0.58097838596260631, 0.60000000000000009, 0.90000000000000002, | |
5144 | 0.52359877559829882, 0.0 }, | |
5145 | { 0.84656453396163722, 0.60000000000000009, 0.90000000000000002, | |
5146 | 0.69813170079773179, 0.0 }, | |
5147 | { 1.1997828426963724, 0.60000000000000009, 0.90000000000000002, | |
5148 | 0.87266462599716477, 0.0 }, | |
5149 | { 1.7112436789225605, 0.60000000000000009, 0.90000000000000002, | |
5150 | 1.0471975511965976, 0.0 }, | |
5151 | { 2.5193168553672312, 0.60000000000000009, 0.90000000000000002, | |
5152 | 1.2217304763960306, 0.0 }, | |
5153 | { 3.8656670488606690, 0.60000000000000009, 0.90000000000000002, | |
5154 | 1.3962634015954636, 0.0 }, | |
5155 | { 5.8709993116265604, 0.60000000000000009, 0.90000000000000002, | |
5156 | 1.5707963267948966, 0.0 }, | |
5157 | }; | |
5158 | const double toler160 = 2.5000000000000020e-13; | |
5159 | ||
5160 | // Test data for k=0.70000000000000018, nu=0.0000000000000000. | |
5161 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 8 | |
5162 | // max(|f - f_Boost| / |f_Boost|): 4.1569224977685422e-16 | |
5163 | // mean(f - f_Boost): 7.7715611723760953e-17 | |
5164 | // variance(f - f_Boost): 1.6571557210371951e-32 | |
5165 | // stddev(f - f_Boost): 1.2873056051447903e-16 | |
5166 | const testcase_ellint_3<double> | |
5167 | data161[10] = | |
5168 | { | |
5169 | { 0.0000000000000000, 0.70000000000000018, 0.0000000000000000, | |
5170 | 0.0000000000000000, 0.0 }, | |
5171 | { 0.17496737466916723, 0.70000000000000018, 0.0000000000000000, | |
5172 | 0.17453292519943295, 0.0 }, | |
5173 | { 0.35254687535677931, 0.70000000000000018, 0.0000000000000000, | |
5174 | 0.34906585039886590, 0.0 }, | |
5175 | { 0.53536740275997130, 0.70000000000000018, 0.0000000000000000, | |
5176 | 0.52359877559829882, 0.0 }, | |
5177 | { 0.72603797651684454, 0.70000000000000018, 0.0000000000000000, | |
5178 | 0.69813170079773179, 0.0 }, | |
5179 | { 0.92698296348313447, 0.70000000000000018, 0.0000000000000000, | |
5180 | 0.87266462599716477, 0.0 }, | |
5181 | { 1.1400447527693318, 0.70000000000000018, 0.0000000000000000, | |
5182 | 1.0471975511965976, 0.0 }, | |
5183 | { 1.3657668117194073, 0.70000000000000018, 0.0000000000000000, | |
5184 | 1.2217304763960306, 0.0 }, | |
5185 | { 1.6024686895959164, 0.70000000000000018, 0.0000000000000000, | |
5186 | 1.3962634015954636, 0.0 }, | |
5187 | { 1.8456939983747236, 0.70000000000000018, 0.0000000000000000, | |
5188 | 1.5707963267948966, 0.0 }, | |
5189 | }; | |
5190 | const double toler161 = 2.5000000000000020e-13; | |
5191 | ||
5192 | // Test data for k=0.70000000000000018, nu=0.10000000000000001. | |
5193 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 8 | |
5194 | // max(|f - f_Boost| / |f_Boost|): 3.9552278747527691e-16 | |
5195 | // mean(f - f_Boost): 1.1102230246251565e-16 | |
5196 | // variance(f - f_Boost): 1.3695501826753678e-32 | |
5197 | // stddev(f - f_Boost): 1.1702778228589004e-16 | |
5198 | const testcase_ellint_3<double> | |
5199 | data162[10] = | |
5200 | { | |
5201 | { 0.0000000000000000, 0.70000000000000018, 0.10000000000000001, | |
5202 | 0.0000000000000000, 0.0 }, | |
5203 | { 0.17514462737300920, 0.70000000000000018, 0.10000000000000001, | |
5204 | 0.17453292519943295, 0.0 }, | |
5205 | { 0.35396527997470451, 0.70000000000000018, 0.10000000000000001, | |
5206 | 0.34906585039886590, 0.0 }, | |
5207 | { 0.54015179589433981, 0.70000000000000018, 0.10000000000000001, | |
5208 | 0.52359877559829882, 0.0 }, | |
5209 | { 0.73734430854477728, 0.70000000000000018, 0.10000000000000001, | |
5210 | 0.69813170079773179, 0.0 }, | |
5211 | { 0.94888950796697047, 0.70000000000000018, 0.10000000000000001, | |
5212 | 0.87266462599716477, 0.0 }, | |
5213 | { 1.1772807959736322, 0.70000000000000018, 0.10000000000000001, | |
5214 | 1.0471975511965976, 0.0 }, | |
5215 | { 1.4231796401075834, 0.70000000000000018, 0.10000000000000001, | |
5216 | 1.2217304763960306, 0.0 }, | |
5217 | { 1.6841856799887471, 0.70000000000000018, 0.10000000000000001, | |
5218 | 1.3962634015954636, 0.0 }, | |
5219 | { 1.9541347343119564, 0.70000000000000018, 0.10000000000000001, | |
5220 | 1.5707963267948966, 0.0 }, | |
5221 | }; | |
5222 | const double toler162 = 2.5000000000000020e-13; | |
5223 | ||
5224 | // Test data for k=0.70000000000000018, nu=0.20000000000000001. | |
5225 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 8 | |
5226 | // max(|f - f_Boost| / |f_Boost|): 3.7430437016285820e-16 | |
5227 | // mean(f - f_Boost): 3.3306690738754695e-17 | |
5228 | // variance(f - f_Boost): 1.3695501826753678e-34 | |
5229 | // stddev(f - f_Boost): 1.1702778228589003e-17 | |
5230 | const testcase_ellint_3<double> | |
5231 | data163[10] = | |
5232 | { | |
5233 | { 0.0000000000000000, 0.70000000000000018, 0.20000000000000001, | |
5234 | 0.0000000000000000, 0.0 }, | |
5235 | { 0.17532252613350796, 0.70000000000000018, 0.20000000000000001, | |
5236 | 0.17453292519943295, 0.0 }, | |
5237 | { 0.35540417596807522, 0.70000000000000018, 0.20000000000000001, | |
5238 | 0.34906585039886590, 0.0 }, | |
5239 | { 0.54508913033361928, 0.70000000000000018, 0.20000000000000001, | |
5240 | 0.52359877559829882, 0.0 }, | |
5241 | { 0.74927635777718415, 0.70000000000000018, 0.20000000000000001, | |
5242 | 0.69813170079773179, 0.0 }, | |
5243 | { 0.97261706337936338, 0.70000000000000018, 0.20000000000000001, | |
5244 | 0.87266462599716477, 0.0 }, | |
5245 | { 1.2187303976209327, 0.70000000000000018, 0.20000000000000001, | |
5246 | 1.0471975511965976, 0.0 }, | |
5247 | { 1.4887796709222487, 0.70000000000000018, 0.20000000000000001, | |
5248 | 1.2217304763960306, 0.0 }, | |
5249 | { 1.7796581281839214, 0.70000000000000018, 0.20000000000000001, | |
5250 | 1.3962634015954636, 0.0 }, | |
5251 | { 2.0829290325820207, 0.70000000000000018, 0.20000000000000001, | |
5252 | 1.5707963267948966, 0.0 }, | |
5253 | }; | |
5254 | const double toler163 = 2.5000000000000020e-13; | |
5255 | ||
5256 | // Test data for k=0.70000000000000018, nu=0.30000000000000004. | |
5257 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 7 | |
5258 | // max(|f - f_Boost| / |f_Boost|): 4.2570807706941696e-16 | |
5259 | // mean(f - f_Boost): 8.8817841970012528e-17 | |
5260 | // variance(f - f_Boost): 1.5582437633995295e-32 | |
5261 | // stddev(f - f_Boost): 1.2482963443828271e-16 | |
5262 | const testcase_ellint_3<double> | |
5263 | data164[10] = | |
5264 | { | |
5265 | { 0.0000000000000000, 0.70000000000000018, 0.30000000000000004, | |
5266 | 0.0000000000000000, 0.0 }, | |
5267 | { 0.17550107516328570, 0.70000000000000018, 0.30000000000000004, | |
5268 | 0.17453292519943295, 0.0 }, | |
5269 | { 0.35686409576571965, 0.70000000000000018, 0.30000000000000004, | |
5270 | 0.34906585039886590, 0.0 }, | |
5271 | { 0.55018827316513352, 0.70000000000000018, 0.30000000000000004, | |
5272 | 0.52359877559829882, 0.0 }, | |
5273 | { 0.76189759494390275, 0.70000000000000018, 0.30000000000000004, | |
5274 | 0.69813170079773179, 0.0 }, | |
5275 | { 0.99844623430885626, 0.70000000000000018, 0.30000000000000004, | |
5276 | 0.87266462599716477, 0.0 }, | |
5277 | { 1.2652862989039833, 0.70000000000000018, 0.30000000000000004, | |
5278 | 1.0471975511965976, 0.0 }, | |
5279 | { 1.5647666808691361, 0.70000000000000018, 0.30000000000000004, | |
5280 | 1.2217304763960306, 0.0 }, | |
5281 | { 1.8932499694938165, 0.70000000000000018, 0.30000000000000004, | |
5282 | 1.3962634015954636, 0.0 }, | |
5283 | { 2.2392290510988535, 0.70000000000000018, 0.30000000000000004, | |
5284 | 1.5707963267948966, 0.0 }, | |
5285 | }; | |
5286 | const double toler164 = 2.5000000000000020e-13; | |
5287 | ||
5288 | // Test data for k=0.70000000000000018, nu=0.40000000000000002. | |
5289 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 | |
5290 | // max(|f - f_Boost| / |f_Boost|): 4.3719045096496910e-16 | |
5291 | // mean(f - f_Boost): 1.3600232051658169e-16 | |
5292 | // variance(f - f_Boost): 1.1718213750516114e-32 | |
5293 | // stddev(f - f_Boost): 1.0825069861444829e-16 | |
5294 | const testcase_ellint_3<double> | |
5295 | data165[10] = | |
5296 | { | |
5297 | { 0.0000000000000000, 0.70000000000000018, 0.40000000000000002, | |
5298 | 0.0000000000000000, 0.0 }, | |
5299 | { 0.17568027871494424, 0.70000000000000018, 0.40000000000000002, | |
5300 | 0.17453292519943295, 0.0 }, | |
5301 | { 0.35834559208180261, 0.70000000000000018, 0.40000000000000002, | |
5302 | 0.34906585039886590, 0.0 }, | |
5303 | { 0.55545885451190613, 0.70000000000000018, 0.40000000000000002, | |
5304 | 0.52359877559829882, 0.0 }, | |
5305 | { 0.77528120402568113, 0.70000000000000018, 0.40000000000000002, | |
5306 | 0.69813170079773179, 0.0 }, | |
5307 | { 1.0267241287600322, 0.70000000000000018, 0.40000000000000002, | |
5308 | 0.87266462599716477, 0.0 }, | |
5309 | { 1.3181380338980246, 0.70000000000000018, 0.40000000000000002, | |
5310 | 1.0471975511965976, 0.0 }, | |
5311 | { 1.6542840785132087, 0.70000000000000018, 0.40000000000000002, | |
5312 | 1.2217304763960306, 0.0 }, | |
5313 | { 2.0315595131131823, 0.70000000000000018, 0.40000000000000002, | |
5314 | 1.3962634015954636, 0.0 }, | |
5315 | { 2.4342502915307880, 0.70000000000000018, 0.40000000000000002, | |
5316 | 1.5707963267948966, 0.0 }, | |
5317 | }; | |
5318 | const double toler165 = 2.5000000000000020e-13; | |
5319 | ||
5320 | // Test data for k=0.70000000000000018, nu=0.50000000000000000. | |
5321 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 | |
5322 | // max(|f - f_Boost| / |f_Boost|): 4.0277361210295499e-16 | |
5323 | // mean(f - f_Boost): 1.6930901125533636e-16 | |
5324 | // variance(f - f_Boost): 6.3799163752809956e-32 | |
5325 | // stddev(f - f_Boost): 2.5258496343371268e-16 | |
5326 | const testcase_ellint_3<double> | |
5327 | data166[10] = | |
5328 | { | |
5329 | { 0.0000000000000000, 0.70000000000000018, 0.50000000000000000, | |
5330 | 0.0000000000000000, 0.0 }, | |
5331 | { 0.17586014108156545, 0.70000000000000018, 0.50000000000000000, | |
5332 | 0.17453292519943295, 0.0 }, | |
5333 | { 0.35984923894341653, 0.70000000000000018, 0.50000000000000000, | |
5334 | 0.34906585039886590, 0.0 }, | |
5335 | { 0.56091135606739995, 0.70000000000000018, 0.50000000000000000, | |
5336 | 0.52359877559829882, 0.0 }, | |
5337 | { 0.78951212635197054, 0.70000000000000018, 0.50000000000000000, | |
5338 | 0.69813170079773179, 0.0 }, | |
5339 | { 1.0578865732938731, 0.70000000000000018, 0.50000000000000000, | |
5340 | 0.87266462599716477, 0.0 }, | |
5341 | { 1.3789149005151722, 0.70000000000000018, 0.50000000000000000, | |
5342 | 1.0471975511965976, 0.0 }, | |
5343 | { 1.7620212286086228, 0.70000000000000018, 0.50000000000000000, | |
5344 | 1.2217304763960306, 0.0 }, | |
5345 | { 2.2051554347435589, 0.70000000000000018, 0.50000000000000000, | |
5346 | 1.3962634015954636, 0.0 }, | |
5347 | { 2.6868019968236996, 0.70000000000000018, 0.50000000000000000, | |
5348 | 1.5707963267948966, 0.0 }, | |
5349 | }; | |
5350 | const double toler166 = 2.5000000000000020e-13; | |
5351 | ||
5352 | // Test data for k=0.70000000000000018, nu=0.60000000000000009. | |
5353 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
5354 | // max(|f - f_Boost| / |f_Boost|): 5.8597454441867134e-16 | |
5355 | // mean(f - f_Boost): 2.5535129566378598e-16 | |
5356 | // variance(f - f_Boost): 2.8561208198482198e-31 | |
5357 | // stddev(f - f_Boost): 5.3442687243889785e-16 | |
5358 | const testcase_ellint_3<double> | |
5359 | data167[10] = | |
5360 | { | |
5361 | { 0.0000000000000000, 0.70000000000000018, 0.60000000000000009, | |
5362 | 0.0000000000000000, 0.0 }, | |
5363 | { 0.17604066659721918, 0.70000000000000018, 0.60000000000000009, | |
5364 | 0.17453292519943295, 0.0 }, | |
5365 | { 0.36137563278353424, 0.70000000000000018, 0.60000000000000009, | |
5366 | 0.34906585039886590, 0.0 }, | |
5367 | { 0.56655721272747606, 0.70000000000000018, 0.60000000000000009, | |
5368 | 0.52359877559829882, 0.0 }, | |
5369 | { 0.80468966552978305, 0.70000000000000018, 0.60000000000000009, | |
5370 | 0.69813170079773179, 0.0 }, | |
5371 | { 1.0924902943683852, 0.70000000000000018, 0.60000000000000009, | |
5372 | 0.87266462599716477, 0.0 }, | |
5373 | { 1.4499247992499800, 0.70000000000000018, 0.60000000000000009, | |
5374 | 1.0471975511965976, 0.0 }, | |
5375 | { 1.8953714382113818, 0.70000000000000018, 0.60000000000000009, | |
5376 | 1.2217304763960306, 0.0 }, | |
5377 | { 2.4323229949248670, 0.70000000000000018, 0.60000000000000009, | |
5378 | 1.3962634015954636, 0.0 }, | |
5379 | { 3.0314573496746746, 0.70000000000000018, 0.60000000000000009, | |
5380 | 1.5707963267948966, 0.0 }, | |
5381 | }; | |
5382 | const double toler167 = 2.5000000000000020e-13; | |
5383 | ||
5384 | // Test data for k=0.70000000000000018, nu=0.70000000000000007. | |
5385 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 8 | |
5386 | // max(|f - f_Boost| / |f_Boost|): 3.2316852368580916e-16 | |
5387 | // mean(f - f_Boost): 7.7715611723760953e-17 | |
5388 | // variance(f - f_Boost): 7.4564398834547797e-34 | |
5389 | // stddev(f - f_Boost): 2.7306482533374340e-17 | |
5390 | const testcase_ellint_3<double> | |
5391 | data168[10] = | |
5392 | { | |
5393 | { 0.0000000000000000, 0.70000000000000018, 0.70000000000000007, | |
5394 | 0.0000000000000000, 0.0 }, | |
5395 | { 0.17622185963747933, 0.70000000000000018, 0.70000000000000007, | |
5396 | 0.17453292519943295, 0.0 }, | |
5397 | { 0.36292539360435261, 0.70000000000000018, 0.70000000000000007, | |
5398 | 0.34906585039886590, 0.0 }, | |
5399 | { 0.57240892970150015, 0.70000000000000018, 0.70000000000000007, | |
5400 | 0.52359877559829882, 0.0 }, | |
5401 | { 0.82093084713182629, 0.70000000000000018, 0.70000000000000007, | |
5402 | 0.69813170079773179, 0.0 }, | |
5403 | { 1.1312609022179871, 0.70000000000000018, 0.70000000000000007, | |
5404 | 0.87266462599716477, 0.0 }, | |
5405 | { 1.5345768067715795, 0.70000000000000018, 0.70000000000000007, | |
5406 | 1.0471975511965976, 0.0 }, | |
5407 | { 2.0668847445934424, 0.70000000000000018, 0.70000000000000007, | |
5408 | 1.2217304763960306, 0.0 }, | |
5409 | { 2.7483444537551245, 0.70000000000000018, 0.70000000000000007, | |
5410 | 1.3962634015954636, 0.0 }, | |
5411 | { 3.5408408771788569, 0.70000000000000018, 0.70000000000000007, | |
5412 | 1.5707963267948966, 0.0 }, | |
5413 | }; | |
5414 | const double toler168 = 2.5000000000000020e-13; | |
5415 | ||
5416 | // Test data for k=0.70000000000000018, nu=0.80000000000000004. | |
5417 | // max(|f - f_Boost|): 1.3322676295501878e-15 at index 8 | |
5418 | // max(|f - f_Boost| / |f_Boost|): 4.1198716111867353e-16 | |
5419 | // mean(f - f_Boost): 2.2482016248659419e-16 | |
5420 | // variance(f - f_Boost): 5.4326441655972001e-32 | |
5421 | // stddev(f - f_Boost): 2.3308033305273100e-16 | |
5422 | const testcase_ellint_3<double> | |
5423 | data169[10] = | |
5424 | { | |
5425 | { 0.0000000000000000, 0.70000000000000018, 0.80000000000000004, | |
5426 | 0.0000000000000000, 0.0 }, | |
5427 | { 0.17640372461994805, 0.70000000000000018, 0.80000000000000004, | |
5428 | 0.17453292519943295, 0.0 }, | |
5429 | { 0.36449916621651091, 0.70000000000000018, 0.80000000000000004, | |
5430 | 0.34906585039886590, 0.0 }, | |
5431 | { 0.57848021800372584, 0.70000000000000018, 0.80000000000000004, | |
5432 | 0.52359877559829882, 0.0 }, | |
5433 | { 0.83837480968392586, 0.70000000000000018, 0.80000000000000004, | |
5434 | 0.69813170079773179, 0.0 }, | |
5435 | { 1.1751669030061143, 0.70000000000000018, 0.80000000000000004, | |
5436 | 0.87266462599716477, 0.0 }, | |
5437 | { 1.6381851899173603, 0.70000000000000018, 0.80000000000000004, | |
5438 | 1.0471975511965976, 0.0 }, | |
5439 | { 2.3002065924302197, 0.70000000000000018, 0.80000000000000004, | |
5440 | 1.2217304763960306, 0.0 }, | |
5441 | { 3.2337600665337871, 0.70000000000000018, 0.80000000000000004, | |
5442 | 1.3962634015954636, 0.0 }, | |
5443 | { 4.4042405729076970, 0.70000000000000018, 0.80000000000000004, | |
5444 | 1.5707963267948966, 0.0 }, | |
5445 | }; | |
5446 | const double toler169 = 2.5000000000000020e-13; | |
5447 | ||
5448 | // Test data for k=0.70000000000000018, nu=0.90000000000000002. | |
5449 | // max(|f - f_Boost|): 3.5527136788005009e-15 at index 8 | |
5450 | // max(|f - f_Boost| / |f_Boost|): 8.5869439826269878e-16 | |
5451 | // mean(f - f_Boost): 7.4384942649885490e-16 | |
5452 | // variance(f - f_Boost): 9.7403930714297352e-31 | |
5453 | // stddev(f - f_Boost): 9.8693429727767263e-16 | |
5454 | const testcase_ellint_3<double> | |
5455 | data170[10] = | |
5456 | { | |
5457 | { 0.0000000000000000, 0.70000000000000018, 0.90000000000000002, | |
5458 | 0.0000000000000000, 0.0 }, | |
5459 | { 0.17658626600478800, 0.70000000000000018, 0.90000000000000002, | |
5460 | 0.17453292519943295, 0.0 }, | |
5461 | { 0.36609762156017206, 0.70000000000000018, 0.90000000000000002, | |
5462 | 0.34906585039886590, 0.0 }, | |
5463 | { 0.58478615187842409, 0.70000000000000018, 0.90000000000000002, | |
5464 | 0.52359877559829882, 0.0 }, | |
5465 | { 0.85718862878291846, 0.70000000000000018, 0.90000000000000002, | |
5466 | 0.69813170079773179, 0.0 }, | |
5467 | { 1.2255385617397643, 0.70000000000000018, 0.90000000000000002, | |
5468 | 0.87266462599716477, 0.0 }, | |
5469 | { 1.7696521899992941, 0.70000000000000018, 0.90000000000000002, | |
5470 | 1.0471975511965976, 0.0 }, | |
5471 | { 2.6476314987883507, 0.70000000000000018, 0.90000000000000002, | |
5472 | 1.2217304763960306, 0.0 }, | |
5473 | { 4.1373434902898083, 0.70000000000000018, 0.90000000000000002, | |
5474 | 1.3962634015954636, 0.0 }, | |
5475 | { 6.3796094177887763, 0.70000000000000018, 0.90000000000000002, | |
5476 | 1.5707963267948966, 0.0 }, | |
5477 | }; | |
5478 | const double toler170 = 2.5000000000000020e-13; | |
7c62b943 BK |
5479 | |
5480 | // Test data for k=0.80000000000000004, nu=0.0000000000000000. | |
b4688136 ESR |
5481 | // max(|f - f_Boost|): 1.5543122344752192e-15 at index 9 |
5482 | // max(|f - f_Boost| / |f_Boost|): 7.7898565163847540e-16 | |
5483 | // mean(f - f_Boost): 2.3869795029440865e-16 | |
5484 | // variance(f - f_Boost): 2.1368406725192426e-31 | |
5485 | // stddev(f - f_Boost): 4.6225974002926564e-16 | |
5486 | const testcase_ellint_3<double> | |
5487 | data171[10] = | |
5488 | { | |
5489 | { 0.0000000000000000, 0.80000000000000004, 0.0000000000000000, | |
5490 | 0.0000000000000000, 0.0 }, | |
5491 | { 0.17510154241338899, 0.80000000000000004, 0.0000000000000000, | |
5492 | 0.17453292519943295, 0.0 }, | |
5493 | { 0.35365068839779396, 0.80000000000000004, 0.0000000000000000, | |
5494 | 0.34906585039886590, 0.0 }, | |
5495 | { 0.53926804409084550, 0.80000000000000004, 0.0000000000000000, | |
5496 | 0.52359877559829882, 0.0 }, | |
5497 | { 0.73587926028070372, 0.80000000000000004, 0.0000000000000000, | |
5498 | 0.69813170079773179, 0.0 }, | |
5499 | { 0.94770942970071170, 0.80000000000000004, 0.0000000000000000, | |
5500 | 0.87266462599716477, 0.0 }, | |
5501 | { 1.1789022995388236, 0.80000000000000004, 0.0000000000000000, | |
5502 | 1.0471975511965976, 0.0 }, | |
5503 | { 1.4323027881876012, 0.80000000000000004, 0.0000000000000000, | |
5504 | 1.2217304763960306, 0.0 }, | |
5505 | { 1.7069629739121677, 0.80000000000000004, 0.0000000000000000, | |
5506 | 1.3962634015954636, 0.0 }, | |
5507 | { 1.9953027776647294, 0.80000000000000004, 0.0000000000000000, | |
5508 | 1.5707963267948966, 0.0 }, | |
5509 | }; | |
5510 | const double toler171 = 2.5000000000000020e-13; | |
7c62b943 BK |
5511 | |
5512 | // Test data for k=0.80000000000000004, nu=0.10000000000000001. | |
b4688136 ESR |
5513 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 |
5514 | // max(|f - f_Boost| / |f_Boost|): 8.3898786942190374e-16 | |
5515 | // mean(f - f_Boost): 2.3869795029440865e-16 | |
5516 | // variance(f - f_Boost): 2.9190059990693968e-31 | |
5517 | // stddev(f - f_Boost): 5.4027826155319237e-16 | |
5518 | const testcase_ellint_3<double> | |
5519 | data172[10] = | |
5520 | { | |
5521 | { 0.0000000000000000, 0.80000000000000004, 0.10000000000000001, | |
5522 | 0.0000000000000000, 0.0 }, | |
5523 | { 0.17527903952342144, 0.80000000000000004, 0.10000000000000001, | |
5524 | 0.17453292519943295, 0.0 }, | |
5525 | { 0.35507705313548549, 0.80000000000000004, 0.10000000000000001, | |
5526 | 0.34906585039886590, 0.0 }, | |
5527 | { 0.54411455987643553, 0.80000000000000004, 0.10000000000000001, | |
5528 | 0.52359877559829882, 0.0 }, | |
5529 | { 0.74745625666804383, 0.80000000000000004, 0.10000000000000001, | |
5530 | 0.69813170079773179, 0.0 }, | |
5531 | { 0.97046953684238557, 0.80000000000000004, 0.10000000000000001, | |
5532 | 0.87266462599716477, 0.0 }, | |
5533 | { 1.2183080025184605, 0.80000000000000004, 0.10000000000000001, | |
5534 | 1.0471975511965976, 0.0 }, | |
5535 | { 1.4943711151994405, 0.80000000000000004, 0.10000000000000001, | |
5536 | 1.2217304763960306, 0.0 }, | |
5537 | { 1.7972401309544201, 0.80000000000000004, 0.10000000000000001, | |
5538 | 1.3962634015954636, 0.0 }, | |
5539 | { 2.1172616484005085, 0.80000000000000004, 0.10000000000000001, | |
5540 | 1.5707963267948966, 0.0 }, | |
5541 | }; | |
5542 | const double toler172 = 2.5000000000000020e-13; | |
7c62b943 BK |
5543 | |
5544 | // Test data for k=0.80000000000000004, nu=0.20000000000000001. | |
b4688136 ESR |
5545 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 |
5546 | // max(|f - f_Boost| / |f_Boost|): 7.8513740186068518e-16 | |
5547 | // mean(f - f_Boost): 2.8310687127941490e-16 | |
5548 | // variance(f - f_Boost): 2.7528339102381189e-31 | |
5549 | // stddev(f - f_Boost): 5.2467455724840699e-16 | |
5550 | const testcase_ellint_3<double> | |
5551 | data173[10] = | |
5552 | { | |
5553 | { 0.0000000000000000, 0.80000000000000004, 0.20000000000000001, | |
5554 | 0.0000000000000000, 0.0 }, | |
5555 | { 0.17545718375086419, 0.80000000000000004, 0.20000000000000001, | |
5556 | 0.17453292519943295, 0.0 }, | |
5557 | { 0.35652404627248163, 0.80000000000000004, 0.20000000000000001, | |
5558 | 0.34906585039886590, 0.0 }, | |
5559 | { 0.54911638512920913, 0.80000000000000004, 0.20000000000000001, | |
5560 | 0.52359877559829882, 0.0 }, | |
5561 | { 0.75967684282131176, 0.80000000000000004, 0.20000000000000001, | |
5562 | 0.69813170079773179, 0.0 }, | |
5563 | { 0.99513526893543769, 0.80000000000000004, 0.20000000000000001, | |
5564 | 0.87266462599716477, 0.0 }, | |
5565 | { 1.2622192109995993, 0.80000000000000004, 0.20000000000000001, | |
5566 | 1.0471975511965976, 0.0 }, | |
5567 | { 1.5654106676347741, 0.80000000000000004, 0.20000000000000001, | |
5568 | 1.2217304763960306, 0.0 }, | |
5569 | { 1.9029531718534984, 0.80000000000000004, 0.20000000000000001, | |
5570 | 1.3962634015954636, 0.0 }, | |
5571 | { 2.2624789434186798, 0.80000000000000004, 0.20000000000000001, | |
5572 | 1.5707963267948966, 0.0 }, | |
5573 | }; | |
5574 | const double toler173 = 2.5000000000000020e-13; | |
5575 | ||
5576 | // Test data for k=0.80000000000000004, nu=0.30000000000000004. | |
5577 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
5578 | // max(|f - f_Boost| / |f_Boost|): 7.2825261583337354e-16 | |
5579 | // mean(f - f_Boost): 2.6367796834847468e-16 | |
5580 | // variance(f - f_Boost): 2.8249350208968825e-31 | |
5581 | // stddev(f - f_Boost): 5.3150117788175054e-16 | |
5582 | const testcase_ellint_3<double> | |
5583 | data174[10] = | |
5584 | { | |
5585 | { 0.0000000000000000, 0.80000000000000004, 0.30000000000000004, | |
5586 | 0.0000000000000000, 0.0 }, | |
5587 | { 0.17563597931587369, 0.80000000000000004, 0.30000000000000004, | |
5588 | 0.17453292519943295, 0.0 }, | |
5589 | { 0.35799220412005128, 0.80000000000000004, 0.30000000000000004, | |
5590 | 0.34906585039886590, 0.0 }, | |
5591 | { 0.55428253691111318, 0.80000000000000004, 0.30000000000000004, | |
5592 | 0.52359877559829882, 0.0 }, | |
5593 | { 0.77260647376977365, 0.80000000000000004, 0.30000000000000004, | |
5594 | 0.69813170079773179, 0.0 }, | |
5595 | { 1.0220015271210958, 0.80000000000000004, 0.30000000000000004, | |
5596 | 0.87266462599716477, 0.0 }, | |
5597 | { 1.3115965312302671, 0.80000000000000004, 0.30000000000000004, | |
5598 | 1.0471975511965976, 0.0 }, | |
5599 | { 1.6478518468813512, 0.80000000000000004, 0.30000000000000004, | |
5600 | 1.2217304763960306, 0.0 }, | |
5601 | { 2.0290458414203481, 0.80000000000000004, 0.30000000000000004, | |
5602 | 1.3962634015954636, 0.0 }, | |
5603 | { 2.4392042002725693, 0.80000000000000004, 0.30000000000000004, | |
5604 | 1.5707963267948966, 0.0 }, | |
5605 | }; | |
5606 | const double toler174 = 2.5000000000000020e-13; | |
7c62b943 BK |
5607 | |
5608 | // Test data for k=0.80000000000000004, nu=0.40000000000000002. | |
b4688136 ESR |
5609 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 9 |
5610 | // max(|f - f_Boost| / |f_Boost|): 8.3462748389836647e-16 | |
5611 | // mean(f - f_Boost): 3.3861802251067273e-16 | |
5612 | // variance(f - f_Boost): 4.3719465706454422e-31 | |
5613 | // stddev(f - f_Boost): 6.6120696991527871e-16 | |
5614 | const testcase_ellint_3<double> | |
5615 | data175[10] = | |
5616 | { | |
5617 | { 0.0000000000000000, 0.80000000000000004, 0.40000000000000002, | |
5618 | 0.0000000000000000, 0.0 }, | |
5619 | { 0.17581543047866136, 0.80000000000000004, 0.40000000000000002, | |
5620 | 0.17453292519943295, 0.0 }, | |
5621 | { 0.35948208343061633, 0.80000000000000004, 0.40000000000000002, | |
5622 | 0.34906585039886590, 0.0 }, | |
5623 | { 0.55962280893702021, 0.80000000000000004, 0.40000000000000002, | |
5624 | 0.52359877559829882, 0.0 }, | |
5625 | { 0.78632063889234116, 0.80000000000000004, 0.40000000000000002, | |
5626 | 0.69813170079773179, 0.0 }, | |
5627 | { 1.0514333069550323, 0.80000000000000004, 0.40000000000000002, | |
5628 | 0.87266462599716477, 0.0 }, | |
5629 | { 1.3677213138838757, 0.80000000000000004, 0.40000000000000002, | |
5630 | 1.0471975511965976, 0.0 }, | |
5631 | { 1.7451736773665165, 0.80000000000000004, 0.40000000000000002, | |
5632 | 1.2217304763960306, 0.0 }, | |
5633 | { 2.1830100424586831, 0.80000000000000004, 0.40000000000000002, | |
5634 | 1.3962634015954636, 0.0 }, | |
5635 | { 2.6604037035529724, 0.80000000000000004, 0.40000000000000002, | |
5636 | 1.5707963267948966, 0.0 }, | |
5637 | }; | |
5638 | const double toler175 = 2.5000000000000020e-13; | |
7c62b943 BK |
5639 | |
5640 | // Test data for k=0.80000000000000004, nu=0.50000000000000000. | |
b4688136 ESR |
5641 | // max(|f - f_Boost|): 2.6645352591003757e-15 at index 9 |
5642 | // max(|f - f_Boost| / |f_Boost|): 9.0388243828581744e-16 | |
5643 | // mean(f - f_Boost): 3.8580250105724191e-16 | |
5644 | // variance(f - f_Boost): 6.4106456575047741e-31 | |
5645 | // stddev(f - f_Boost): 8.0066507713929764e-16 | |
5646 | const testcase_ellint_3<double> | |
5647 | data176[10] = | |
5648 | { | |
5649 | { 0.0000000000000000, 0.80000000000000004, 0.50000000000000000, | |
5650 | 0.0000000000000000, 0.0 }, | |
5651 | { 0.17599554153999472, 0.80000000000000004, 0.50000000000000000, | |
5652 | 0.17453292519943295, 0.0 }, | |
5653 | { 0.36099426243351540, 0.80000000000000004, 0.50000000000000000, | |
5654 | 0.34906585039886590, 0.0 }, | |
5655 | { 0.56514786174780673, 0.80000000000000004, 0.50000000000000000, | |
5656 | 0.52359877559829882, 0.0 }, | |
5657 | { 0.80090697622371010, 0.80000000000000004, 0.50000000000000000, | |
5658 | 0.69813170079773179, 0.0 }, | |
5659 | { 1.0838891627679339, 0.80000000000000004, 0.50000000000000000, | |
5660 | 0.87266462599716477, 0.0 }, | |
5661 | { 1.4323506654466280, 0.80000000000000004, 0.50000000000000000, | |
5662 | 1.0471975511965976, 0.0 }, | |
5663 | { 1.8625761085390575, 0.80000000000000004, 0.50000000000000000, | |
5664 | 1.2217304763960306, 0.0 }, | |
5665 | { 2.3768757305654766, 0.80000000000000004, 0.50000000000000000, | |
5666 | 1.3962634015954636, 0.0 }, | |
5667 | { 2.9478781158239746, 0.80000000000000004, 0.50000000000000000, | |
5668 | 1.5707963267948966, 0.0 }, | |
5669 | }; | |
5670 | const double toler176 = 2.5000000000000020e-13; | |
5671 | ||
5672 | // Test data for k=0.80000000000000004, nu=0.60000000000000009. | |
5673 | // max(|f - f_Boost|): 3.5527136788005009e-15 at index 9 | |
5674 | // max(|f - f_Boost| / |f_Boost|): 1.0631099169042069e-15 | |
5675 | // mean(f - f_Boost): 4.8294701571194306e-16 | |
5676 | // variance(f - f_Boost): 1.1633910328160319e-30 | |
5677 | // stddev(f - f_Boost): 1.0786060600682865e-15 | |
5678 | const testcase_ellint_3<double> | |
5679 | data177[10] = | |
5680 | { | |
5681 | { 0.0000000000000000, 0.80000000000000004, 0.60000000000000009, | |
5682 | 0.0000000000000000, 0.0 }, | |
5683 | { 0.17617631684170665, 0.80000000000000004, 0.60000000000000009, | |
5684 | 0.17453292519943295, 0.0 }, | |
5685 | { 0.36252934193666231, 0.80000000000000004, 0.60000000000000009, | |
5686 | 0.34906585039886590, 0.0 }, | |
5687 | { 0.57086932622945163, 0.80000000000000004, 0.60000000000000009, | |
5688 | 0.52359877559829882, 0.0 }, | |
5689 | { 0.81646796740150973, 0.80000000000000004, 0.60000000000000009, | |
5690 | 0.69813170079773179, 0.0 }, | |
5691 | { 1.1199552158519064, 0.80000000000000004, 0.60000000000000009, | |
5692 | 0.87266462599716477, 0.0 }, | |
5693 | { 1.5079766673336394, 0.80000000000000004, 0.60000000000000009, | |
5694 | 1.0471975511965976, 0.0 }, | |
5695 | { 2.0082747447038165, 0.80000000000000004, 0.60000000000000009, | |
5696 | 1.2217304763960306, 0.0 }, | |
5697 | { 2.6315146066775523, 0.80000000000000004, 0.60000000000000009, | |
5698 | 1.3962634015954636, 0.0 }, | |
5699 | { 3.3418121892288051, 0.80000000000000004, 0.60000000000000009, | |
5700 | 1.5707963267948966, 0.0 }, | |
5701 | }; | |
5702 | const double toler177 = 2.5000000000000020e-13; | |
5703 | ||
5704 | // Test data for k=0.80000000000000004, nu=0.70000000000000007. | |
5705 | // max(|f - f_Boost|): 2.2204460492503131e-15 at index 9 | |
5706 | // max(|f - f_Boost| / |f_Boost|): 5.6544679145741375e-16 | |
5707 | // mean(f - f_Boost): 3.2751579226442120e-16 | |
5708 | // variance(f - f_Boost): 4.4236851331020672e-31 | |
5709 | // stddev(f - f_Boost): 6.6510789599147505e-16 | |
5710 | const testcase_ellint_3<double> | |
5711 | data178[10] = | |
5712 | { | |
5713 | { 0.0000000000000000, 0.80000000000000004, 0.70000000000000007, | |
5714 | 0.0000000000000000, 0.0 }, | |
5715 | { 0.17635776076721221, 0.80000000000000004, 0.70000000000000007, | |
5716 | 0.17453292519943295, 0.0 }, | |
5717 | { 0.36408794649916976, 0.80000000000000004, 0.70000000000000007, | |
5718 | 0.34906585039886590, 0.0 }, | |
5719 | { 0.57679992290624138, 0.80000000000000004, 0.70000000000000007, | |
5720 | 0.52359877559829882, 0.0 }, | |
5721 | { 0.83312441418142813, 0.80000000000000004, 0.70000000000000007, | |
5722 | 0.69813170079773179, 0.0 }, | |
5723 | { 1.1603958891464856, 0.80000000000000004, 0.70000000000000007, | |
5724 | 0.87266462599716477, 0.0 }, | |
5725 | { 1.5982855143796213, 0.80000000000000004, 0.70000000000000007, | |
5726 | 1.0471975511965976, 0.0 }, | |
5727 | { 2.1962484408371821, 0.80000000000000004, 0.70000000000000007, | |
5728 | 1.2217304763960306, 0.0 }, | |
5729 | { 2.9873281786111869, 0.80000000000000004, 0.70000000000000007, | |
5730 | 1.3962634015954636, 0.0 }, | |
5731 | { 3.9268876980046397, 0.80000000000000004, 0.70000000000000007, | |
5732 | 1.5707963267948966, 0.0 }, | |
5733 | }; | |
5734 | const double toler178 = 2.5000000000000020e-13; | |
7c62b943 BK |
5735 | |
5736 | // Test data for k=0.80000000000000004, nu=0.80000000000000004. | |
b4688136 ESR |
5737 | // max(|f - f_Boost|): 4.4408920985006262e-15 at index 9 |
5738 | // max(|f - f_Boost| / |f_Boost|): 9.0176949165011079e-16 | |
5739 | // mean(f - f_Boost): 7.0499162063697436e-16 | |
5740 | // variance(f - f_Boost): 1.7230805408026989e-30 | |
5741 | // stddev(f - f_Boost): 1.3126616246400665e-15 | |
5742 | const testcase_ellint_3<double> | |
5743 | data179[10] = | |
5744 | { | |
5745 | { 0.0000000000000000, 0.80000000000000004, 0.80000000000000004, | |
5746 | 0.0000000000000000, 0.0 }, | |
5747 | { 0.17653987774203392, 0.80000000000000004, 0.80000000000000004, | |
5748 | 0.17453292519943295, 0.0 }, | |
5749 | { 0.36567072568046877, 0.80000000000000004, 0.80000000000000004, | |
5750 | 0.34906585039886590, 0.0 }, | |
5751 | { 0.58295359996558616, 0.80000000000000004, 0.80000000000000004, | |
5752 | 0.52359877559829882, 0.0 }, | |
5753 | { 0.85101998309176108, 0.80000000000000004, 0.80000000000000004, | |
5754 | 0.69813170079773179, 0.0 }, | |
5755 | { 1.2062322059736537, 0.80000000000000004, 0.80000000000000004, | |
5756 | 0.87266462599716477, 0.0 }, | |
5757 | { 1.7090321420917429, 0.80000000000000004, 0.80000000000000004, | |
5758 | 1.0471975511965976, 0.0 }, | |
5759 | { 2.4529058049405066, 0.80000000000000004, 0.80000000000000004, | |
5760 | 1.2217304763960306, 0.0 }, | |
5761 | { 3.5368893360106948, 0.80000000000000004, 0.80000000000000004, | |
5762 | 1.3962634015954636, 0.0 }, | |
5763 | { 4.9246422058196062, 0.80000000000000004, 0.80000000000000004, | |
5764 | 1.5707963267948966, 0.0 }, | |
5765 | }; | |
5766 | const double toler179 = 2.5000000000000020e-13; | |
7c62b943 BK |
5767 | |
5768 | // Test data for k=0.80000000000000004, nu=0.90000000000000002. | |
b4688136 ESR |
5769 | // max(|f - f_Boost|): 4.4408920985006262e-15 at index 9 |
5770 | // max(|f - f_Boost| / |f_Boost|): 7.7782721357365268e-16 | |
5771 | // mean(f - f_Boost): 8.9928064994637676e-16 | |
5772 | // variance(f - f_Boost): 1.5485199571025344e-30 | |
5773 | // stddev(f - f_Boost): 1.2443954183066307e-15 | |
5774 | const testcase_ellint_3<double> | |
5775 | data180[10] = | |
5776 | { | |
5777 | { 0.0000000000000000, 0.80000000000000004, 0.90000000000000002, | |
5778 | 0.0000000000000000, 0.0 }, | |
5779 | { 0.17672267223433513, 0.80000000000000004, 0.90000000000000002, | |
5780 | 0.17453292519943295, 0.0 }, | |
5781 | { 0.36727835537196063, 0.80000000000000004, 0.90000000000000002, | |
5782 | 0.34906585039886590, 0.0 }, | |
5783 | { 0.58934569363716649, 0.80000000000000004, 0.90000000000000002, | |
5784 | 0.52359877559829882, 0.0 }, | |
5785 | { 0.87032723471138851, 0.80000000000000004, 0.90000000000000002, | |
5786 | 0.69813170079773179, 0.0 }, | |
5787 | { 1.2588676111323349, 0.80000000000000004, 0.90000000000000002, | |
5788 | 0.87266462599716477, 0.0 }, | |
5789 | { 1.8498731900660019, 0.80000000000000004, 0.90000000000000002, | |
5790 | 1.0471975511965976, 0.0 }, | |
5791 | { 2.8368381299300420, 0.80000000000000004, 0.90000000000000002, | |
5792 | 1.2217304763960306, 0.0 }, | |
5793 | { 4.5674844191654058, 0.80000000000000004, 0.90000000000000002, | |
5794 | 1.3962634015954636, 0.0 }, | |
5795 | { 7.2263259298637115, 0.80000000000000004, 0.90000000000000002, | |
5796 | 1.5707963267948966, 0.0 }, | |
5797 | }; | |
5798 | const double toler180 = 2.5000000000000020e-13; | |
5799 | ||
5800 | // Test data for k=0.90000000000000013, nu=0.0000000000000000. | |
5801 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 7 | |
5802 | // max(|f - f_Boost| / |f_Boost|): 4.3381508715713360e-16 | |
5803 | // mean(f - f_Boost): 5.8286708792820721e-17 | |
5804 | // variance(f - f_Boost): 4.1942474344433133e-34 | |
5805 | // stddev(f - f_Boost): 2.0479861900030756e-17 | |
5806 | const testcase_ellint_3<double> | |
5807 | data181[10] = | |
5808 | { | |
5809 | { 0.0000000000000000, 0.90000000000000013, 0.0000000000000000, | |
5810 | 0.0000000000000000, 0.0 }, | |
5811 | { 0.17525427376115027, 0.90000000000000013, 0.0000000000000000, | |
5812 | 0.17453292519943295, 0.0 }, | |
5813 | { 0.35492464591297446, 0.90000000000000013, 0.0000000000000000, | |
5814 | 0.34906585039886590, 0.0 }, | |
5815 | { 0.54388221416157123, 0.90000000000000013, 0.0000000000000000, | |
5816 | 0.52359877559829882, 0.0 }, | |
5817 | { 0.74797400423532512, 0.90000000000000013, 0.0000000000000000, | |
5818 | 0.69813170079773179, 0.0 }, | |
5819 | { 0.97463898451966446, 0.90000000000000013, 0.0000000000000000, | |
5820 | 0.87266462599716477, 0.0 }, | |
5821 | { 1.2334463254523440, 0.90000000000000013, 0.0000000000000000, | |
5822 | 1.0471975511965976, 0.0 }, | |
5823 | { 1.5355247765594915, 0.90000000000000013, 0.0000000000000000, | |
5824 | 1.2217304763960306, 0.0 }, | |
5825 | { 1.8882928567775128, 0.90000000000000013, 0.0000000000000000, | |
5826 | 1.3962634015954636, 0.0 }, | |
5827 | { 2.2805491384227707, 0.90000000000000013, 0.0000000000000000, | |
5828 | 1.5707963267948966, 0.0 }, | |
5829 | }; | |
5830 | const double toler181 = 2.5000000000000020e-13; | |
5831 | ||
5832 | // Test data for k=0.90000000000000013, nu=0.10000000000000001. | |
5833 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 7 | |
5834 | // max(|f - f_Boost| / |f_Boost|): 4.1500594295134815e-16 | |
5835 | // mean(f - f_Boost): 9.1593399531575410e-17 | |
5836 | // variance(f - f_Boost): 1.0357223256482469e-33 | |
5837 | // stddev(f - f_Boost): 3.2182640128619758e-17 | |
5838 | const testcase_ellint_3<double> | |
5839 | data182[10] = | |
5840 | { | |
5841 | { 0.0000000000000000, 0.90000000000000013, 0.10000000000000001, | |
5842 | 0.0000000000000000, 0.0 }, | |
5843 | { 0.17543204932716244, 0.90000000000000013, 0.10000000000000001, | |
5844 | 0.17453292519943295, 0.0 }, | |
5845 | { 0.35636022898551184, 0.90000000000000013, 0.10000000000000001, | |
5846 | 0.34906585039886590, 0.0 }, | |
5847 | { 0.54880278898382595, 0.90000000000000013, 0.10000000000000001, | |
5848 | 0.52359877559829882, 0.0 }, | |
5849 | { 0.75988834774529268, 0.90000000000000013, 0.10000000000000001, | |
5850 | 0.69813170079773179, 0.0 }, | |
5851 | { 0.99853303003568117, 0.90000000000000013, 0.10000000000000001, | |
5852 | 0.87266462599716477, 0.0 }, | |
5853 | { 1.2759958823999022, 0.90000000000000013, 0.10000000000000001, | |
5854 | 1.0471975511965976, 0.0 }, | |
5855 | { 1.6051187364639401, 0.90000000000000013, 0.10000000000000001, | |
5856 | 1.2217304763960306, 0.0 }, | |
5857 | { 1.9941406879519474, 0.90000000000000013, 0.10000000000000001, | |
5858 | 1.3962634015954636, 0.0 }, | |
5859 | { 2.4295011187834890, 0.90000000000000013, 0.10000000000000001, | |
5860 | 1.5707963267948966, 0.0 }, | |
5861 | }; | |
5862 | const double toler182 = 2.5000000000000020e-13; | |
5863 | ||
5864 | // Test data for k=0.90000000000000013, nu=0.20000000000000001. | |
5865 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 7 | |
5866 | // max(|f - f_Boost| / |f_Boost|): 3.9533518431433547e-16 | |
5867 | // mean(f - f_Boost): 1.0269562977782698e-16 | |
5868 | // variance(f - f_Boost): 1.4388836606733082e-32 | |
5869 | // stddev(f - f_Boost): 1.1995347684303728e-16 | |
5870 | const testcase_ellint_3<double> | |
5871 | data183[10] = | |
5872 | { | |
5873 | { 0.0000000000000000, 0.90000000000000013, 0.20000000000000001, | |
5874 | 0.0000000000000000, 0.0 }, | |
5875 | { 0.17561047321968409, 0.90000000000000013, 0.20000000000000001, | |
5876 | 0.17453292519943295, 0.0 }, | |
5877 | { 0.35781659944356109, 0.90000000000000013, 0.20000000000000001, | |
5878 | 0.34906585039886590, 0.0 }, | |
5879 | { 0.55388150905215283, 0.90000000000000013, 0.20000000000000001, | |
5880 | 0.52359877559829882, 0.0 }, | |
5881 | { 0.77246874123251441, 0.90000000000000013, 0.20000000000000001, | |
5882 | 0.69813170079773179, 0.0 }, | |
5883 | { 1.0244466254771925, 0.90000000000000013, 0.20000000000000001, | |
5884 | 0.87266462599716477, 0.0 }, | |
5885 | { 1.3234824077640801, 0.90000000000000013, 0.20000000000000001, | |
5886 | 1.0471975511965976, 0.0 }, | |
5887 | { 1.6849848968804240, 0.90000000000000013, 0.20000000000000001, | |
5888 | 1.2217304763960306, 0.0 }, | |
5889 | { 2.1185749045502278, 0.90000000000000013, 0.20000000000000001, | |
5890 | 1.3962634015954636, 0.0 }, | |
5891 | { 2.6076835743348417, 0.90000000000000013, 0.20000000000000001, | |
5892 | 1.5707963267948966, 0.0 }, | |
5893 | }; | |
5894 | const double toler183 = 2.5000000000000020e-13; | |
5895 | ||
5896 | // Test data for k=0.90000000000000013, nu=0.30000000000000004. | |
5897 | // max(|f - f_Boost|): 6.6613381477509392e-16 at index 7 | |
5898 | // max(|f - f_Boost| / |f_Boost|): 3.9712691025502371e-16 | |
5899 | // mean(f - f_Boost): 6.9388939039072284e-17 | |
5900 | // variance(f - f_Boost): 5.9442282234173945e-34 | |
5901 | // stddev(f - f_Boost): 2.4380787976227090e-17 | |
5902 | const testcase_ellint_3<double> | |
5903 | data184[10] = | |
5904 | { | |
5905 | { 0.0000000000000000, 0.90000000000000013, 0.30000000000000004, | |
5906 | 0.0000000000000000, 0.0 }, | |
5907 | { 0.17578954966746221, 0.90000000000000013, 0.30000000000000004, | |
5908 | 0.17453292519943295, 0.0 }, | |
5909 | { 0.35929429810867447, 0.90000000000000013, 0.30000000000000004, | |
5910 | 0.34906585039886590, 0.0 }, | |
5911 | { 0.55912757154240822, 0.90000000000000013, 0.30000000000000004, | |
5912 | 0.52359877559829882, 0.0 }, | |
5913 | { 0.78578314722025389, 0.90000000000000013, 0.30000000000000004, | |
5914 | 0.69813170079773179, 0.0 }, | |
5915 | { 1.0526941001131365, 0.90000000000000013, 0.30000000000000004, | |
5916 | 0.87266462599716477, 0.0 }, | |
5917 | { 1.3769682234538601, 0.90000000000000013, 0.30000000000000004, | |
5918 | 1.0471975511965976, 0.0 }, | |
5919 | { 1.7779437432911240, 0.90000000000000013, 0.30000000000000004, | |
5920 | 1.2217304763960306, 0.0 }, | |
5921 | { 2.2676509341813635, 0.90000000000000013, 0.30000000000000004, | |
5922 | 1.3962634015954636, 0.0 }, | |
5923 | { 2.8256506968858517, 0.90000000000000013, 0.30000000000000004, | |
5924 | 1.5707963267948966, 0.0 }, | |
5925 | }; | |
5926 | const double toler184 = 2.5000000000000020e-13; | |
5927 | ||
5928 | // Test data for k=0.90000000000000013, nu=0.40000000000000002. | |
5929 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 7 | |
5930 | // max(|f - f_Boost| / |f_Boost|): 4.7042235432234642e-16 | |
5931 | // mean(f - f_Boost): 1.8041124150158794e-16 | |
5932 | // variance(f - f_Boost): 8.5834655546147173e-33 | |
5933 | // stddev(f - f_Boost): 9.2646994309662939e-17 | |
5934 | const testcase_ellint_3<double> | |
5935 | data185[10] = | |
5936 | { | |
5937 | { 0.0000000000000000, 0.90000000000000013, 0.40000000000000002, | |
5938 | 0.0000000000000000, 0.0 }, | |
5939 | { 0.17596928293938452, 0.90000000000000013, 0.40000000000000002, | |
5940 | 0.17453292519943295, 0.0 }, | |
5941 | { 0.36079388642472821, 0.90000000000000013, 0.40000000000000002, | |
5942 | 0.34906585039886590, 0.0 }, | |
5943 | { 0.56455096667115612, 0.90000000000000013, 0.40000000000000002, | |
5944 | 0.52359877559829882, 0.0 }, | |
5945 | { 0.79990996997869435, 0.90000000000000013, 0.40000000000000002, | |
5946 | 0.69813170079773179, 0.0 }, | |
5947 | { 1.0836647913872215, 0.90000000000000013, 0.40000000000000002, | |
5948 | 0.87266462599716477, 0.0 }, | |
5949 | { 1.4378726836091849, 0.90000000000000013, 0.40000000000000002, | |
5950 | 1.0471975511965976, 0.0 }, | |
5951 | { 1.8880446720682853, 0.90000000000000013, 0.40000000000000002, | |
5952 | 1.2217304763960306, 0.0 }, | |
5953 | { 2.4505848932025232, 0.90000000000000013, 0.40000000000000002, | |
5954 | 1.3962634015954636, 0.0 }, | |
5955 | { 3.1000689868578624, 0.90000000000000013, 0.40000000000000002, | |
5956 | 1.5707963267948966, 0.0 }, | |
5957 | }; | |
5958 | const double toler185 = 2.5000000000000020e-13; | |
5959 | ||
5960 | // Test data for k=0.90000000000000013, nu=0.50000000000000000. | |
5961 | // max(|f - f_Boost|): 8.8817841970012523e-16 at index 7 | |
5962 | // max(|f - f_Boost| / |f_Boost|): 4.3939646155354115e-16 | |
5963 | // mean(f - f_Boost): 1.5820678100908481e-16 | |
5964 | // variance(f - f_Boost): 1.0089970755557622e-32 | |
5965 | // stddev(f - f_Boost): 1.0044884646205561e-16 | |
5966 | const testcase_ellint_3<double> | |
5967 | data186[10] = | |
5968 | { | |
5969 | { 0.0000000000000000, 0.90000000000000013, 0.50000000000000000, | |
5970 | 0.0000000000000000, 0.0 }, | |
5971 | { 0.17614967734498183, 0.90000000000000013, 0.50000000000000000, | |
5972 | 0.17453292519943295, 0.0 }, | |
5973 | { 0.36231594750319435, 0.90000000000000013, 0.50000000000000000, | |
5974 | 0.34906585039886590, 0.0 }, | |
5975 | { 0.57016256984349567, 0.90000000000000013, 0.50000000000000000, | |
5976 | 0.52359877559829882, 0.0 }, | |
5977 | { 0.81494025918293422, 0.90000000000000013, 0.50000000000000000, | |
5978 | 0.69813170079773179, 0.0 }, | |
5979 | { 1.1178482279283477, 0.90000000000000013, 0.50000000000000000, | |
5980 | 0.87266462599716477, 0.0 }, | |
5981 | { 1.5081455873012106, 0.90000000000000013, 0.50000000000000000, | |
5982 | 1.0471975511965976, 0.0 }, | |
5983 | { 2.0213599730863998, 0.90000000000000013, 0.50000000000000000, | |
5984 | 1.2217304763960306, 0.0 }, | |
5985 | { 2.6822467012926832, 0.90000000000000013, 0.50000000000000000, | |
5986 | 1.3962634015954636, 0.0 }, | |
5987 | { 3.4591069002104686, 0.90000000000000013, 0.50000000000000000, | |
5988 | 1.5707963267948966, 0.0 }, | |
5989 | }; | |
5990 | const double toler186 = 2.5000000000000020e-13; | |
5991 | ||
5992 | // Test data for k=0.90000000000000013, nu=0.60000000000000009. | |
5993 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
5994 | // max(|f - f_Boost| / |f_Boost|): 4.4914274070443813e-16 | |
5995 | // mean(f - f_Boost): 3.4694469519536142e-16 | |
5996 | // variance(f - f_Boost): 2.5224926888894056e-31 | |
5997 | // stddev(f - f_Boost): 5.0224423231027804e-16 | |
5998 | const testcase_ellint_3<double> | |
5999 | data187[10] = | |
6000 | { | |
6001 | { 0.0000000000000000, 0.90000000000000013, 0.60000000000000009, | |
6002 | 0.0000000000000000, 0.0 }, | |
6003 | { 0.17633073723493825, 0.90000000000000013, 0.60000000000000009, | |
6004 | 0.17453292519943295, 0.0 }, | |
6005 | { 0.36386108723492810, 0.90000000000000013, 0.60000000000000009, | |
6006 | 0.34906585039886590, 0.0 }, | |
6007 | { 0.57597424744716241, 0.90000000000000013, 0.60000000000000009, | |
6008 | 0.52359877559829882, 0.0 }, | |
6009 | { 0.83098051948501150, 0.90000000000000013, 0.60000000000000009, | |
6010 | 0.69813170079773179, 0.0 }, | |
6011 | { 1.1558706545698916, 0.90000000000000013, 0.60000000000000009, | |
6012 | 0.87266462599716477, 0.0 }, | |
6013 | { 1.5905576379415669, 0.90000000000000013, 0.60000000000000009, | |
6014 | 1.0471975511965976, 0.0 }, | |
6015 | { 2.1875186010215084, 0.90000000000000013, 0.60000000000000009, | |
6016 | 1.2217304763960306, 0.0 }, | |
6017 | { 2.9885767771316853, 0.90000000000000013, 0.60000000000000009, | |
6018 | 1.3962634015954636, 0.0 }, | |
6019 | { 3.9549939883570238, 0.90000000000000013, 0.60000000000000009, | |
6020 | 1.5707963267948966, 0.0 }, | |
6021 | }; | |
6022 | const double toler187 = 2.5000000000000020e-13; | |
6023 | ||
6024 | // Test data for k=0.90000000000000013, nu=0.70000000000000007. | |
6025 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 9 | |
6026 | // max(|f - f_Boost| / |f_Boost|): 5.5442489886293633e-16 | |
6027 | // mean(f - f_Boost): 4.3576253716537392e-16 | |
6028 | // variance(f - f_Boost): 2.2187568928205130e-31 | |
6029 | // stddev(f - f_Boost): 4.7103682370070737e-16 | |
6030 | const testcase_ellint_3<double> | |
6031 | data188[10] = | |
6032 | { | |
6033 | { 0.0000000000000000, 0.90000000000000013, 0.70000000000000007, | |
6034 | 0.0000000000000000, 0.0 }, | |
6035 | { 0.17651246700160939, 0.90000000000000013, 0.70000000000000007, | |
6036 | 0.17453292519943295, 0.0 }, | |
6037 | { 0.36542993547358982, 0.90000000000000013, 0.70000000000000007, | |
6038 | 0.34906585039886590, 0.0 }, | |
6039 | { 0.58199897877674867, 0.90000000000000013, 0.70000000000000007, | |
6040 | 0.52359877559829882, 0.0 }, | |
6041 | { 0.84815633587352857, 0.90000000000000013, 0.70000000000000007, | |
6042 | 0.69813170079773179, 0.0 }, | |
6043 | { 1.1985495623872375, 0.90000000000000013, 0.70000000000000007, | |
6044 | 0.87266462599716477, 0.0 }, | |
6045 | { 1.6892158134027691, 0.90000000000000013, 0.70000000000000007, | |
6046 | 1.0471975511965976, 0.0 }, | |
6047 | { 2.4029722191094236, 0.90000000000000013, 0.70000000000000007, | |
6048 | 1.2217304763960306, 0.0 }, | |
6049 | { 3.4201084941340061, 0.90000000000000013, 0.70000000000000007, | |
6050 | 1.3962634015954636, 0.0 }, | |
6051 | { 4.6985482312992444, 0.90000000000000013, 0.70000000000000007, | |
6052 | 1.5707963267948966, 0.0 }, | |
6053 | }; | |
6054 | const double toler188 = 2.5000000000000020e-13; | |
6055 | ||
6056 | // Test data for k=0.90000000000000013, nu=0.80000000000000004. | |
6057 | // max(|f - f_Boost|): 1.7763568394002505e-15 at index 8 | |
6058 | // max(|f - f_Boost| / |f_Boost|): 4.9362432595976420e-16 | |
6059 | // mean(f - f_Boost): 3.0531133177191805e-16 | |
6060 | // variance(f - f_Boost): 1.1508025840536076e-32 | |
6061 | // stddev(f - f_Boost): 1.0727546709539920e-16 | |
6062 | const testcase_ellint_3<double> | |
6063 | data189[10] = | |
6064 | { | |
6065 | { 0.0000000000000000, 0.90000000000000013, 0.80000000000000004, | |
6066 | 0.0000000000000000, 0.0 }, | |
6067 | { 0.17669487107954862, 0.90000000000000013, 0.80000000000000004, | |
6068 | 0.17453292519943295, 0.0 }, | |
6069 | { 0.36702314729628421, 0.90000000000000013, 0.80000000000000004, | |
6070 | 0.34906585039886590, 0.0 }, | |
6071 | { 0.58825099711365492, 0.90000000000000013, 0.80000000000000004, | |
6072 | 0.52359877559829882, 0.0 }, | |
6073 | { 0.86661711422209031, 0.90000000000000013, 0.80000000000000004, | |
6074 | 0.69813170079773179, 0.0 }, | |
6075 | { 1.2469779109884802, 0.90000000000000013, 0.80000000000000004, | |
6076 | 0.87266462599716477, 0.0 }, | |
6077 | { 1.8105469760531578, 0.90000000000000013, 0.80000000000000004, | |
6078 | 1.0471975511965976, 0.0 }, | |
6079 | { 2.6989505165893752, 0.90000000000000013, 0.80000000000000004, | |
6080 | 1.2217304763960306, 0.0 }, | |
6081 | { 4.0935213267757433, 0.90000000000000013, 0.80000000000000004, | |
6082 | 1.3962634015954636, 0.0 }, | |
6083 | { 5.9820740813645727, 0.90000000000000013, 0.80000000000000004, | |
6084 | 1.5707963267948966, 0.0 }, | |
6085 | }; | |
6086 | const double toler189 = 2.5000000000000020e-13; | |
6087 | ||
6088 | // Test data for k=0.90000000000000013, nu=0.90000000000000002. | |
6089 | // max(|f - f_Boost|): 2.6645352591003757e-15 at index 8 | |
6090 | // max(|f - f_Boost| / |f_Boost|): 4.9577148062669782e-16 | |
6091 | // mean(f - f_Boost): 5.9119376061289588e-16 | |
6092 | // variance(f - f_Boost): 1.7340883003959522e-31 | |
6093 | // stddev(f - f_Boost): 4.1642385863395872e-16 | |
6094 | const testcase_ellint_3<double> | |
6095 | data190[10] = | |
6096 | { | |
6097 | { 0.0000000000000000, 0.90000000000000013, 0.90000000000000002, | |
6098 | 0.0000000000000000, 0.0 }, | |
6099 | { 0.17687795394604169, 0.90000000000000013, 0.90000000000000002, | |
6100 | 0.17453292519943295, 0.0 }, | |
6101 | { 0.36864140434751286, 0.90000000000000013, 0.90000000000000002, | |
6102 | 0.34906585039886590, 0.0 }, | |
6103 | { 0.59474595366817051, 0.90000000000000013, 0.90000000000000002, | |
6104 | 0.52359877559829882, 0.0 }, | |
6105 | { 0.88654237226056665, 0.90000000000000013, 0.90000000000000002, | |
6106 | 0.69813170079773179, 0.0 }, | |
6107 | { 1.3026595810616726, 0.90000000000000013, 0.90000000000000002, | |
6108 | 0.87266462599716477, 0.0 }, | |
6109 | { 1.9653635459278080, 0.90000000000000013, 0.90000000000000002, | |
6110 | 1.0471975511965976, 0.0 }, | |
6111 | { 3.1451407527189468, 0.90000000000000013, 0.90000000000000002, | |
6112 | 1.2217304763960306, 0.0 }, | |
6113 | { 5.3745230680316132, 0.90000000000000013, 0.90000000000000002, | |
6114 | 1.3962634015954636, 0.0 }, | |
6115 | { 8.9942562031858717, 0.90000000000000013, 0.90000000000000002, | |
6116 | 1.5707963267948966, 0.0 }, | |
6117 | }; | |
6118 | const double toler190 = 2.5000000000000020e-13; | |
6119 | ||
6120 | template<typename Ret, unsigned int Num> | |
6121 | void | |
6122 | test(const testcase_ellint_3<Ret> (&data)[Num], Ret toler) | |
6123 | { | |
6124 | bool test __attribute__((unused)) = true; | |
6125 | const Ret eps = std::numeric_limits<Ret>::epsilon(); | |
6126 | Ret max_abs_diff = -Ret(1); | |
6127 | Ret max_abs_frac = -Ret(1); | |
6128 | unsigned int num_datum = Num; | |
6129 | for (unsigned int i = 0; i < num_datum; ++i) | |
6130 | { | |
6131 | const Ret f = std::tr1::ellint_3(data[i].k, data[i].nu, | |
6132 | data[i].phi); | |
6133 | const Ret f0 = data[i].f0; | |
6134 | const Ret diff = f - f0; | |
6135 | if (std::abs(diff) > max_abs_diff) | |
6136 | max_abs_diff = std::abs(diff); | |
6137 | if (std::abs(f0) > Ret(10) * eps | |
6138 | && std::abs(f) > Ret(10) * eps) | |
6139 | { | |
6140 | const Ret frac = diff / f0; | |
6141 | if (std::abs(frac) > max_abs_frac) | |
6142 | max_abs_frac = std::abs(frac); | |
6143 | } | |
6144 | } | |
6145 | VERIFY(max_abs_frac < toler); | |
6146 | } | |
7c62b943 | 6147 | |
b4688136 ESR |
6148 | int |
6149 | main() | |
6150 | { | |
6151 | test(data001, toler001); | |
6152 | test(data002, toler002); | |
6153 | test(data003, toler003); | |
6154 | test(data004, toler004); | |
6155 | test(data005, toler005); | |
6156 | test(data006, toler006); | |
6157 | test(data007, toler007); | |
6158 | test(data008, toler008); | |
6159 | test(data009, toler009); | |
6160 | test(data010, toler010); | |
6161 | test(data011, toler011); | |
6162 | test(data012, toler012); | |
6163 | test(data013, toler013); | |
6164 | test(data014, toler014); | |
6165 | test(data015, toler015); | |
6166 | test(data016, toler016); | |
6167 | test(data017, toler017); | |
6168 | test(data018, toler018); | |
6169 | test(data019, toler019); | |
6170 | test(data020, toler020); | |
6171 | test(data021, toler021); | |
6172 | test(data022, toler022); | |
6173 | test(data023, toler023); | |
6174 | test(data024, toler024); | |
6175 | test(data025, toler025); | |
6176 | test(data026, toler026); | |
6177 | test(data027, toler027); | |
6178 | test(data028, toler028); | |
6179 | test(data029, toler029); | |
6180 | test(data030, toler030); | |
6181 | test(data031, toler031); | |
6182 | test(data032, toler032); | |
6183 | test(data033, toler033); | |
6184 | test(data034, toler034); | |
6185 | test(data035, toler035); | |
6186 | test(data036, toler036); | |
6187 | test(data037, toler037); | |
6188 | test(data038, toler038); | |
6189 | test(data039, toler039); | |
6190 | test(data040, toler040); | |
6191 | test(data041, toler041); | |
6192 | test(data042, toler042); | |
6193 | test(data043, toler043); | |
6194 | test(data044, toler044); | |
6195 | test(data045, toler045); | |
6196 | test(data046, toler046); | |
6197 | test(data047, toler047); | |
6198 | test(data048, toler048); | |
6199 | test(data049, toler049); | |
6200 | test(data050, toler050); | |
6201 | test(data051, toler051); | |
6202 | test(data052, toler052); | |
6203 | test(data053, toler053); | |
6204 | test(data054, toler054); | |
6205 | test(data055, toler055); | |
6206 | test(data056, toler056); | |
6207 | test(data057, toler057); | |
6208 | test(data058, toler058); | |
6209 | test(data059, toler059); | |
6210 | test(data060, toler060); | |
6211 | test(data061, toler061); | |
6212 | test(data062, toler062); | |
6213 | test(data063, toler063); | |
6214 | test(data064, toler064); | |
6215 | test(data065, toler065); | |
6216 | test(data066, toler066); | |
6217 | test(data067, toler067); | |
6218 | test(data068, toler068); | |
6219 | test(data069, toler069); | |
6220 | test(data070, toler070); | |
6221 | test(data071, toler071); | |
6222 | test(data072, toler072); | |
6223 | test(data073, toler073); | |
6224 | test(data074, toler074); | |
6225 | test(data075, toler075); | |
6226 | test(data076, toler076); | |
6227 | test(data077, toler077); | |
6228 | test(data078, toler078); | |
6229 | test(data079, toler079); | |
6230 | test(data080, toler080); | |
6231 | test(data081, toler081); | |
6232 | test(data082, toler082); | |
6233 | test(data083, toler083); | |
6234 | test(data084, toler084); | |
6235 | test(data085, toler085); | |
6236 | test(data086, toler086); | |
6237 | test(data087, toler087); | |
6238 | test(data088, toler088); | |
6239 | test(data089, toler089); | |
6240 | test(data090, toler090); | |
6241 | test(data091, toler091); | |
6242 | test(data092, toler092); | |
6243 | test(data093, toler093); | |
6244 | test(data094, toler094); | |
6245 | test(data095, toler095); | |
6246 | test(data096, toler096); | |
6247 | test(data097, toler097); | |
6248 | test(data098, toler098); | |
6249 | test(data099, toler099); | |
6250 | test(data100, toler100); | |
6251 | test(data101, toler101); | |
6252 | test(data102, toler102); | |
6253 | test(data103, toler103); | |
6254 | test(data104, toler104); | |
6255 | test(data105, toler105); | |
6256 | test(data106, toler106); | |
6257 | test(data107, toler107); | |
6258 | test(data108, toler108); | |
6259 | test(data109, toler109); | |
6260 | test(data110, toler110); | |
6261 | test(data111, toler111); | |
6262 | test(data112, toler112); | |
6263 | test(data113, toler113); | |
6264 | test(data114, toler114); | |
6265 | test(data115, toler115); | |
6266 | test(data116, toler116); | |
6267 | test(data117, toler117); | |
6268 | test(data118, toler118); | |
6269 | test(data119, toler119); | |
6270 | test(data120, toler120); | |
6271 | test(data121, toler121); | |
6272 | test(data122, toler122); | |
6273 | test(data123, toler123); | |
6274 | test(data124, toler124); | |
6275 | test(data125, toler125); | |
6276 | test(data126, toler126); | |
6277 | test(data127, toler127); | |
6278 | test(data128, toler128); | |
6279 | test(data129, toler129); | |
6280 | test(data130, toler130); | |
6281 | test(data131, toler131); | |
6282 | test(data132, toler132); | |
6283 | test(data133, toler133); | |
6284 | test(data134, toler134); | |
6285 | test(data135, toler135); | |
6286 | test(data136, toler136); | |
6287 | test(data137, toler137); | |
6288 | test(data138, toler138); | |
6289 | test(data139, toler139); | |
6290 | test(data140, toler140); | |
6291 | test(data141, toler141); | |
6292 | test(data142, toler142); | |
6293 | test(data143, toler143); | |
6294 | test(data144, toler144); | |
6295 | test(data145, toler145); | |
6296 | test(data146, toler146); | |
6297 | test(data147, toler147); | |
6298 | test(data148, toler148); | |
6299 | test(data149, toler149); | |
6300 | test(data150, toler150); | |
6301 | test(data151, toler151); | |
6302 | test(data152, toler152); | |
6303 | test(data153, toler153); | |
6304 | test(data154, toler154); | |
6305 | test(data155, toler155); | |
6306 | test(data156, toler156); | |
6307 | test(data157, toler157); | |
6308 | test(data158, toler158); | |
6309 | test(data159, toler159); | |
6310 | test(data160, toler160); | |
6311 | test(data161, toler161); | |
6312 | test(data162, toler162); | |
6313 | test(data163, toler163); | |
6314 | test(data164, toler164); | |
6315 | test(data165, toler165); | |
6316 | test(data166, toler166); | |
6317 | test(data167, toler167); | |
6318 | test(data168, toler168); | |
6319 | test(data169, toler169); | |
6320 | test(data170, toler170); | |
6321 | test(data171, toler171); | |
6322 | test(data172, toler172); | |
6323 | test(data173, toler173); | |
6324 | test(data174, toler174); | |
6325 | test(data175, toler175); | |
6326 | test(data176, toler176); | |
6327 | test(data177, toler177); | |
6328 | test(data178, toler178); | |
6329 | test(data179, toler179); | |
6330 | test(data180, toler180); | |
6331 | test(data181, toler181); | |
6332 | test(data182, toler182); | |
6333 | test(data183, toler183); | |
6334 | test(data184, toler184); | |
6335 | test(data185, toler185); | |
6336 | test(data186, toler186); | |
6337 | test(data187, toler187); | |
6338 | test(data188, toler188); | |
6339 | test(data189, toler189); | |
6340 | test(data190, toler190); | |
7c62b943 BK |
6341 | return 0; |
6342 | } |