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b4688136 ESR |
1 | // { dg-do run { target c++11 } } |
2 | // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" } | |
7c62b943 | 3 | // |
b4688136 | 4 | // Copyright (C) 2016-2017 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 | // cyl_bessel_i | |
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 nu=0.0000000000000000. | |
b4688136 ESR |
41 | // max(|f - f_GSL|): 5.2402526762307389e-14 at index 12 |
42 | // max(|f - f_GSL| / |f_GSL|): 1.0747725055352992e-14 | |
43 | // mean(f - f_GSL): -1.9624513654326576e-14 | |
44 | // variance(f - f_GSL): 4.0630093099383162e-30 | |
45 | // stddev(f - f_GSL): 2.0156907773610308e-15 | |
46 | const testcase_cyl_bessel_i<double> | |
47 | data007[21] = | |
48 | { | |
49 | { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000, 0.0 }, | |
50 | { 1.0156861412236078, 0.0000000000000000, 0.25000000000000000, 0.0 }, | |
51 | { 1.0634833707413236, 0.0000000000000000, 0.50000000000000000, 0.0 }, | |
52 | { 1.1456467780440014, 0.0000000000000000, 0.75000000000000000, 0.0 }, | |
53 | { 1.2660658777520082, 0.0000000000000000, 1.0000000000000000, 0.0 }, | |
54 | { 1.4304687177218294, 0.0000000000000000, 1.2500000000000000, 0.0 }, | |
55 | { 1.6467231897728904, 0.0000000000000000, 1.5000000000000000, 0.0 }, | |
56 | { 1.9252521538585021, 0.0000000000000000, 1.7500000000000000, 0.0 }, | |
57 | { 2.2795853023360668, 0.0000000000000000, 2.0000000000000000, 0.0 }, | |
58 | { 2.7270783071907951, 0.0000000000000000, 2.2500000000000000, 0.0 }, | |
59 | { 3.2898391440501231, 0.0000000000000000, 2.5000000000000000, 0.0 }, | |
60 | { 3.9959131072376550, 0.0000000000000000, 2.7500000000000000, 0.0 }, | |
61 | { 4.8807925858650245, 0.0000000000000000, 3.0000000000000000, 0.0 }, | |
62 | { 5.9893359979395138, 0.0000000000000000, 3.2500000000000000, 0.0 }, | |
63 | { 7.3782034322254750, 0.0000000000000000, 3.5000000000000000, 0.0 }, | |
64 | { 9.1189458608445655, 0.0000000000000000, 3.7500000000000000, 0.0 }, | |
65 | { 11.301921952136325, 0.0000000000000000, 4.0000000000000000, 0.0 }, | |
66 | { 14.041263683000595, 0.0000000000000000, 4.2500000000000000, 0.0 }, | |
67 | { 17.481171855609272, 0.0000000000000000, 4.5000000000000000, 0.0 }, | |
68 | { 21.803898740902120, 0.0000000000000000, 4.7500000000000000, 0.0 }, | |
69 | { 27.239871823604439, 0.0000000000000000, 5.0000000000000000, 0.0 }, | |
2be75957 | 70 | }; |
b4688136 | 71 | const double toler007 = 1.0000000000000008e-12; |
2be75957 ESR |
72 | |
73 | // Test data for nu=0.33333333333333331. | |
b4688136 ESR |
74 | // max(|f - f_GSL|): 6.2172489379008766e-15 at index 14 |
75 | // max(|f - f_GSL| / |f_GSL|): 9.1624880778907085e-16 | |
76 | // mean(f - f_GSL): 1.1525172350870673e-15 | |
77 | // variance(f - f_GSL): 6.9735538801568761e-32 | |
78 | // stddev(f - f_GSL): 2.6407487347638500e-16 | |
79 | const testcase_cyl_bessel_i<double> | |
80 | data008[21] = | |
81 | { | |
82 | { 0.0000000000000000, 0.33333333333333331, 0.0000000000000000, 0.0 }, | |
83 | { 0.56650686557808660, 0.33333333333333331, 0.25000000000000000, 0.0 }, | |
84 | { 0.73897315642511863, 0.33333333333333331, 0.50000000000000000, 0.0 }, | |
85 | { 0.89532320365836815, 0.33333333333333331, 0.75000000000000000, 0.0 }, | |
86 | { 1.0646313978895283, 0.33333333333333331, 1.0000000000000000, 0.0 }, | |
87 | { 1.2623776732605250, 0.33333333333333331, 1.2500000000000000, 0.0 }, | |
88 | { 1.5014290000224382, 0.33333333333333331, 1.5000000000000000, 0.0 }, | |
89 | { 1.7951195525946040, 0.33333333333333331, 1.7500000000000000, 0.0 }, | |
90 | { 2.1587825813728614, 0.33333333333333331, 2.0000000000000000, 0.0 }, | |
91 | { 2.6109134564811405, 0.33333333333333331, 2.2500000000000000, 0.0 }, | |
92 | { 3.1743242297241938, 0.33333333333333331, 2.5000000000000000, 0.0 }, | |
93 | { 3.8774551722182093, 0.33333333333333331, 2.7500000000000000, 0.0 }, | |
94 | { 4.7559569371646946, 0.33333333333333331, 3.0000000000000000, 0.0 }, | |
95 | { 5.8546499652731825, 0.33333333333333331, 3.2500000000000000, 0.0 }, | |
96 | { 7.2299798619171129, 0.33333333333333331, 3.5000000000000000, 0.0 }, | |
97 | { 8.9531114355506318, 0.33333333333333331, 3.7500000000000000, 0.0 }, | |
98 | { 11.113838389991479, 0.33333333333333331, 4.0000000000000000, 0.0 }, | |
99 | { 13.825531136529117, 0.33333333333333331, 4.2500000000000000, 0.0 }, | |
100 | { 17.231403968478318, 0.33333333333333331, 4.5000000000000000, 0.0 }, | |
101 | { 21.512458099556554, 0.33333333333333331, 4.7500000000000000, 0.0 }, | |
102 | { 26.897553069268362, 0.33333333333333331, 5.0000000000000000, 0.0 }, | |
2be75957 | 103 | }; |
b4688136 | 104 | const double toler008 = 2.5000000000000020e-13; |
2be75957 ESR |
105 | |
106 | // Test data for nu=0.50000000000000000. | |
b4688136 ESR |
107 | // max(|f - f_GSL|): 1.4210854715202004e-14 at index 19 |
108 | // max(|f - f_GSL| / |f_GSL|): 9.6042704318763827e-16 | |
109 | // mean(f - f_GSL): 1.9296733523246769e-16 | |
110 | // variance(f - f_GSL): 1.9549106045027772e-33 | |
111 | // stddev(f - f_GSL): 4.4214371017835108e-17 | |
112 | const testcase_cyl_bessel_i<double> | |
113 | data009[21] = | |
114 | { | |
115 | { 0.0000000000000000, 0.50000000000000000, 0.0000000000000000, 0.0 }, | |
116 | { 0.40311093489975897, 0.50000000000000000, 0.25000000000000000, 0.0 }, | |
117 | { 0.58799308679041573, 0.50000000000000000, 0.50000000000000000, 0.0 }, | |
118 | { 0.75761498638991298, 0.50000000000000000, 0.75000000000000000, 0.0 }, | |
119 | { 0.93767488824548695, 0.50000000000000000, 1.0000000000000000, 0.0 }, | |
120 | { 1.1432089853159872, 0.50000000000000000, 1.2500000000000000, 0.0 }, | |
121 | { 1.3871617204034761, 0.50000000000000000, 1.5000000000000000, 0.0 }, | |
122 | { 1.6830217804556813, 0.50000000000000000, 1.7500000000000000, 0.0 }, | |
123 | { 2.0462368630890526, 0.50000000000000000, 2.0000000000000000, 0.0 }, | |
124 | { 2.4953405089360046, 0.50000000000000000, 2.2500000000000000, 0.0 }, | |
125 | { 3.0530935381967175, 0.50000000000000000, 2.5000000000000000, 0.0 }, | |
126 | { 3.7477882494879449, 0.50000000000000000, 2.7500000000000000, 0.0 }, | |
127 | { 4.6148229034075969, 0.50000000000000000, 3.0000000000000000, 0.0 }, | |
128 | { 5.6986505325335486, 0.50000000000000000, 3.2500000000000000, 0.0 }, | |
129 | { 7.0552194086911859, 0.50000000000000000, 3.5000000000000000, 0.0 }, | |
130 | { 8.7550467841188979, 0.50000000000000000, 3.7500000000000000, 0.0 }, | |
131 | { 10.887101798588422, 0.50000000000000000, 4.0000000000000000, 0.0 }, | |
132 | { 13.563718712579764, 0.50000000000000000, 4.2500000000000000, 0.0 }, | |
133 | { 16.926820080158183, 0.50000000000000000, 4.5000000000000000, 0.0 }, | |
134 | { 21.155804306570005, 0.50000000000000000, 4.7500000000000000, 0.0 }, | |
135 | { 26.477547497559065, 0.50000000000000000, 5.0000000000000000, 0.0 }, | |
2be75957 | 136 | }; |
b4688136 | 137 | const double toler009 = 2.5000000000000020e-13; |
2be75957 ESR |
138 | |
139 | // Test data for nu=0.66666666666666663. | |
b4688136 ESR |
140 | // max(|f - f_GSL|): 1.9539925233402755e-14 at index 16 |
141 | // max(|f - f_GSL| / |f_GSL|): 2.2100364323953014e-15 | |
142 | // mean(f - f_GSL): -5.2312651565075830e-15 | |
143 | // variance(f - f_GSL): 1.4792059082391298e-31 | |
144 | // stddev(f - f_GSL): 3.8460446022363414e-16 | |
145 | const testcase_cyl_bessel_i<double> | |
146 | data010[21] = | |
147 | { | |
148 | { 0.0000000000000000, 0.66666666666666663, 0.0000000000000000, 0.0 }, | |
149 | { 0.27953690613200444, 0.66666666666666663, 0.25000000000000000, 0.0 }, | |
150 | { 0.45628323113556890, 0.66666666666666663, 0.50000000000000000, 0.0 }, | |
151 | { 0.62594569838182623, 0.66666666666666663, 0.75000000000000000, 0.0 }, | |
152 | { 0.80752128860612971, 0.66666666666666663, 1.0000000000000000, 0.0 }, | |
153 | { 1.0139484513577173, 0.66666666666666663, 1.2500000000000000, 0.0 }, | |
154 | { 1.2572918396962993, 0.66666666666666663, 1.5000000000000000, 0.0 }, | |
155 | { 1.5505806938325581, 0.66666666666666663, 1.7500000000000000, 0.0 }, | |
156 | { 1.9089492968236210, 0.66666666666666663, 2.0000000000000000, 0.0 }, | |
157 | { 2.3506463490300340, 0.66666666666666663, 2.2500000000000000, 0.0 }, | |
158 | { 2.8981161894224896, 0.66666666666666663, 2.5000000000000000, 0.0 }, | |
159 | { 3.5792654911068724, 0.66666666666666663, 2.7500000000000000, 0.0 }, | |
160 | { 4.4290087213549514, 0.66666666666666663, 3.0000000000000000, 0.0 }, | |
161 | { 5.4911895720097705, 0.66666666666666663, 3.2500000000000000, 0.0 }, | |
162 | { 6.8209918044137305, 0.66666666666666663, 3.5000000000000000, 0.0 }, | |
163 | { 8.4879784249619785, 0.66666666666666663, 3.7500000000000000, 0.0 }, | |
164 | { 10.579932774013004, 0.66666666666666663, 4.0000000000000000, 0.0 }, | |
165 | { 13.207720355482458, 0.66666666666666663, 4.2500000000000000, 0.0 }, | |
166 | { 16.511448404200543, 0.66666666666666663, 4.5000000000000000, 0.0 }, | |
167 | { 20.668274532832392, 0.66666666666666663, 4.7500000000000000, 0.0 }, | |
168 | { 25.902310583215122, 0.66666666666666663, 5.0000000000000000, 0.0 }, | |
2be75957 | 169 | }; |
b4688136 | 170 | const double toler010 = 2.5000000000000020e-13; |
2be75957 ESR |
171 | |
172 | // Test data for nu=1.0000000000000000. | |
b4688136 ESR |
173 | // max(|f - f_GSL|): 1.2967404927621828e-13 at index 17 |
174 | // max(|f - f_GSL| / |f_GSL|): 1.0977631741433893e-14 | |
175 | // mean(f - f_GSL): -3.0188814411265717e-14 | |
176 | // variance(f - f_GSL): 3.7247797767076778e-29 | |
177 | // stddev(f - f_GSL): 6.1030973912495271e-15 | |
178 | const testcase_cyl_bessel_i<double> | |
179 | data011[21] = | |
180 | { | |
181 | { 0.0000000000000000, 1.0000000000000000, 0.0000000000000000, 0.0 }, | |
182 | { 0.12597910894546793, 1.0000000000000000, 0.25000000000000000, 0.0 }, | |
183 | { 0.25789430539089631, 1.0000000000000000, 0.50000000000000000, 0.0 }, | |
184 | { 0.40199246158092228, 1.0000000000000000, 0.75000000000000000, 0.0 }, | |
185 | { 0.56515910399248503, 1.0000000000000000, 1.0000000000000000, 0.0 }, | |
186 | { 0.75528141834074725, 1.0000000000000000, 1.2500000000000000, 0.0 }, | |
187 | { 0.98166642857790720, 1.0000000000000000, 1.5000000000000000, 0.0 }, | |
188 | { 1.2555375122401728, 1.0000000000000000, 1.7500000000000000, 0.0 }, | |
189 | { 1.5906368546373291, 1.0000000000000000, 2.0000000000000000, 0.0 }, | |
190 | { 2.0039674569295931, 1.0000000000000000, 2.2500000000000000, 0.0 }, | |
191 | { 2.5167162452886984, 1.0000000000000000, 2.5000000000000000, 0.0 }, | |
192 | { 3.1554101386190028, 1.0000000000000000, 2.7500000000000000, 0.0 }, | |
193 | { 3.9533702174026097, 1.0000000000000000, 3.0000000000000000, 0.0 }, | |
194 | { 4.9525461659085490, 1.0000000000000000, 3.2500000000000000, 0.0 }, | |
195 | { 6.2058349222583642, 1.0000000000000000, 3.5000000000000000, 0.0 }, | |
196 | { 7.7800152298244170, 1.0000000000000000, 3.7500000000000000, 0.0 }, | |
197 | { 9.7594651537044523, 1.0000000000000000, 4.0000000000000000, 0.0 }, | |
198 | { 12.250874667409304, 1.0000000000000000, 4.2500000000000000, 0.0 }, | |
199 | { 15.389222753735924, 1.0000000000000000, 4.5000000000000000, 0.0 }, | |
200 | { 19.345361447520226, 1.0000000000000000, 4.7500000000000000, 0.0 }, | |
201 | { 24.335642142450524, 1.0000000000000000, 5.0000000000000000, 0.0 }, | |
2be75957 | 202 | }; |
b4688136 | 203 | const double toler011 = 1.0000000000000008e-12; |
2be75957 ESR |
204 | |
205 | // Test data for nu=2.0000000000000000. | |
b4688136 ESR |
206 | // max(|f - f_GSL|): 1.8474111129762605e-13 at index 20 |
207 | // max(|f - f_GSL| / |f_GSL|): 1.0796880796865132e-14 | |
208 | // mean(f - f_GSL): -3.8692841919903068e-14 | |
209 | // variance(f - f_GSL): 1.1198300918819667e-27 | |
210 | // stddev(f - f_GSL): 3.3463862477035829e-14 | |
211 | const testcase_cyl_bessel_i<double> | |
212 | data012[21] = | |
213 | { | |
214 | { 0.0000000000000000, 2.0000000000000000, 0.0000000000000000, 0.0 }, | |
215 | { 0.0078532696598645167, 2.0000000000000000, 0.25000000000000000, 0.0 }, | |
216 | { 0.031906149177738249, 2.0000000000000000, 0.50000000000000000, 0.0 }, | |
217 | { 0.073666880494875436, 2.0000000000000000, 0.75000000000000000, 0.0 }, | |
218 | { 0.13574766976703831, 2.0000000000000000, 1.0000000000000000, 0.0 }, | |
219 | { 0.22201844837663415, 2.0000000000000000, 1.2500000000000000, 0.0 }, | |
220 | { 0.33783461833568068, 2.0000000000000000, 1.5000000000000000, 0.0 }, | |
221 | { 0.49035213986973314, 2.0000000000000000, 1.7500000000000000, 0.0 }, | |
222 | { 0.68894844769873831, 2.0000000000000000, 2.0000000000000000, 0.0 }, | |
223 | { 0.94577390103115722, 2.0000000000000000, 2.2500000000000000, 0.0 }, | |
224 | { 1.2764661478191643, 2.0000000000000000, 2.5000000000000000, 0.0 }, | |
225 | { 1.7010693700601991, 2.0000000000000000, 2.7500000000000000, 0.0 }, | |
226 | { 2.2452124409299512, 2.0000000000000000, 3.0000000000000000, 0.0 }, | |
227 | { 2.9416152804573357, 2.0000000000000000, 3.2500000000000000, 0.0 }, | |
228 | { 3.8320120480778415, 2.0000000000000000, 3.5000000000000000, 0.0 }, | |
229 | { 4.9696044049382113, 2.0000000000000000, 3.7500000000000000, 0.0 }, | |
230 | { 6.4221893752841055, 2.0000000000000000, 4.0000000000000000, 0.0 }, | |
231 | { 8.2761461924550552, 2.0000000000000000, 4.2500000000000000, 0.0 }, | |
232 | { 10.641517298393307, 2.0000000000000000, 4.5000000000000000, 0.0 }, | |
233 | { 13.658483394577813, 2.0000000000000000, 4.7500000000000000, 0.0 }, | |
234 | { 17.505614966624233, 2.0000000000000000, 5.0000000000000000, 0.0 }, | |
2be75957 | 235 | }; |
b4688136 | 236 | const double toler012 = 1.0000000000000008e-12; |
2be75957 ESR |
237 | |
238 | // Test data for nu=5.0000000000000000. | |
b4688136 ESR |
239 | // max(|f - f_GSL|): 2.2204460492503131e-14 at index 20 |
240 | // max(|f - f_GSL| / |f_GSL|): 1.1379865680381910e-14 | |
241 | // mean(f - f_GSL): -3.4502652328999478e-15 | |
242 | // variance(f - f_GSL): 1.8465291591354433e-29 | |
243 | // stddev(f - f_GSL): 4.2971259687556788e-15 | |
244 | const testcase_cyl_bessel_i<double> | |
245 | data013[21] = | |
246 | { | |
247 | { 0.0000000000000000, 5.0000000000000000, 0.0000000000000000, 0.0 }, | |
248 | { 2.5497616449882785e-07, 5.0000000000000000, 0.25000000000000000, 0.0 }, | |
249 | { 8.2231713131092646e-06, 5.0000000000000000, 0.50000000000000000, 0.0 }, | |
250 | { 6.3261122739811725e-05, 5.0000000000000000, 0.75000000000000000, 0.0 }, | |
251 | { 0.00027146315595697195, 5.0000000000000000, 1.0000000000000000, 0.0 }, | |
252 | { 0.00084793613616686856, 5.0000000000000000, 1.2500000000000000, 0.0 }, | |
253 | { 0.0021705595690975554, 5.0000000000000000, 1.5000000000000000, 0.0 }, | |
254 | { 0.0048504513371845385, 5.0000000000000000, 1.7500000000000000, 0.0 }, | |
255 | { 0.0098256793231317023, 5.0000000000000000, 2.0000000000000000, 0.0 }, | |
256 | { 0.018486577941045829, 5.0000000000000000, 2.2500000000000000, 0.0 }, | |
257 | { 0.032843475172023219, 5.0000000000000000, 2.5000000000000000, 0.0 }, | |
258 | { 0.055750882754221943, 5.0000000000000000, 2.7500000000000000, 0.0 }, | |
259 | { 0.091206477661513338, 5.0000000000000000, 3.0000000000000000, 0.0 }, | |
260 | { 0.14474880546308083, 5.0000000000000000, 3.2500000000000000, 0.0 }, | |
261 | { 0.22398495470190780, 5.0000000000000000, 3.5000000000000000, 0.0 }, | |
262 | { 0.33928899170999877, 5.0000000000000000, 3.7500000000000000, 0.0 }, | |
263 | { 0.50472436311316637, 5.0000000000000000, 4.0000000000000000, 0.0 }, | |
264 | { 0.73925961816682961, 5.0000000000000000, 4.2500000000000000, 0.0 }, | |
265 | { 1.0683677743764701, 5.0000000000000000, 4.5000000000000000, 0.0 }, | |
266 | { 1.5261268693599621, 5.0000000000000000, 4.7500000000000000, 0.0 }, | |
267 | { 2.1579745473225476, 5.0000000000000000, 5.0000000000000000, 0.0 }, | |
2be75957 | 268 | }; |
b4688136 | 269 | const double toler013 = 1.0000000000000008e-12; |
2be75957 ESR |
270 | |
271 | // Test data for nu=10.000000000000000. | |
b4688136 ESR |
272 | // max(|f - f_GSL|): 5.0306980803327406e-17 at index 20 |
273 | // max(|f - f_GSL| / |f_GSL|): 1.2741587624782699e-14 | |
274 | // mean(f - f_GSL): -5.4602116438803446e-18 | |
275 | // variance(f - f_GSL): 1.0558971696213844e-34 | |
276 | // stddev(f - f_GSL): 1.0275685717368863e-17 | |
277 | const testcase_cyl_bessel_i<double> | |
278 | data014[21] = | |
279 | { | |
280 | { 0.0000000000000000, 10.000000000000000, 0.0000000000000000, 0.0 }, | |
281 | { 2.5701232848571186e-16, 10.000000000000000, 0.25000000000000000, 0.0 }, | |
282 | { 2.6430419258812784e-13, 10.000000000000000, 0.50000000000000000, 0.0 }, | |
283 | { 1.5349659676120412e-11, 10.000000000000000, 0.75000000000000000, 0.0 }, | |
284 | { 2.7529480398368732e-10, 10.000000000000000, 1.0000000000000000, 0.0 }, | |
285 | { 2.5967897782035928e-09, 10.000000000000000, 1.2500000000000000, 0.0 }, | |
286 | { 1.6330924437799743e-08, 10.000000000000000, 1.5000000000000000, 0.0 }, | |
287 | { 7.7706676834614079e-08, 10.000000000000000, 1.7500000000000000, 0.0 }, | |
288 | { 3.0169638793506839e-07, 10.000000000000000, 2.0000000000000000, 0.0 }, | |
289 | { 1.0034459057774481e-06, 10.000000000000000, 2.2500000000000000, 0.0 }, | |
290 | { 2.9557436109680578e-06, 10.000000000000000, 2.5000000000000000, 0.0 }, | |
291 | { 7.8955603774082724e-06, 10.000000000000000, 2.7500000000000000, 0.0 }, | |
292 | { 1.9464393470612970e-05, 10.000000000000000, 3.0000000000000000, 0.0 }, | |
293 | { 4.4875369479742435e-05, 10.000000000000000, 3.2500000000000000, 0.0 }, | |
294 | { 9.7760848514528916e-05, 10.000000000000000, 3.5000000000000000, 0.0 }, | |
295 | { 0.00020289011210063496, 10.000000000000000, 3.7500000000000000, 0.0 }, | |
296 | { 0.00040378896132693058, 10.000000000000000, 4.0000000000000000, 0.0 }, | |
297 | { 0.00077478519551669892, 10.000000000000000, 4.2500000000000000, 0.0 }, | |
298 | { 0.0014397060684919682, 10.000000000000000, 4.5000000000000000, 0.0 }, | |
299 | { 0.0026004486016189452, 10.000000000000000, 4.7500000000000000, 0.0 }, | |
300 | { 0.0045800444191760525, 10.000000000000000, 5.0000000000000000, 0.0 }, | |
2be75957 | 301 | }; |
b4688136 | 302 | const double toler014 = 1.0000000000000008e-12; |
2be75957 ESR |
303 | |
304 | // Test data for nu=20.000000000000000. | |
b4688136 ESR |
305 | // max(|f - f_GSL|): 6.9147129330604657e-25 at index 20 |
306 | // max(|f - f_GSL| / |f_GSL|): 1.6061319023473306e-14 | |
307 | // mean(f - f_GSL): -5.1436249496041580e-26 | |
308 | // variance(f - f_GSL): 2.1506355008505938e-50 | |
309 | // stddev(f - f_GSL): 1.4665045178418625e-25 | |
310 | const testcase_cyl_bessel_i<double> | |
311 | data015[21] = | |
312 | { | |
313 | { 0.0000000000000000, 20.000000000000000, 0.0000000000000000, 0.0 }, | |
314 | { 3.5677858077910353e-37, 20.000000000000000, 0.25000000000000000, 0.0 }, | |
315 | { 3.7494538480790194e-31, 20.000000000000000, 0.50000000000000000, 0.0 }, | |
316 | { 1.2514356342425337e-27, 20.000000000000000, 0.75000000000000000, 0.0 }, | |
317 | { 3.9668359858190197e-25, 20.000000000000000, 1.0000000000000000, 0.0 }, | |
318 | { 3.4637832909868234e-23, 20.000000000000000, 1.2500000000000000, 0.0 }, | |
319 | { 1.3388331839683472e-21, 20.000000000000000, 1.5000000000000000, 0.0 }, | |
320 | { 2.9502376732679751e-20, 20.000000000000000, 1.7500000000000000, 0.0 }, | |
321 | { 4.3105605761095479e-19, 20.000000000000000, 2.0000000000000000, 0.0 }, | |
322 | { 4.6032451406433059e-18, 20.000000000000000, 2.2500000000000000, 0.0 }, | |
323 | { 3.8400317244170310e-17, 20.000000000000000, 2.5000000000000000, 0.0 }, | |
324 | { 2.6239115263043263e-16, 20.000000000000000, 2.7500000000000000, 0.0 }, | |
325 | { 1.5209660019426689e-15, 20.000000000000000, 3.0000000000000000, 0.0 }, | |
326 | { 7.6806450728249953e-15, 20.000000000000000, 3.2500000000000000, 0.0 }, | |
327 | { 3.4495528847222945e-14, 20.000000000000000, 3.5000000000000000, 0.0 }, | |
328 | { 1.4006589294850677e-13, 20.000000000000000, 3.7500000000000000, 0.0 }, | |
329 | { 5.2100734221993054e-13, 20.000000000000000, 4.0000000000000000, 0.0 }, | |
330 | { 1.7946903269488168e-12, 20.000000000000000, 4.2500000000000000, 0.0 }, | |
331 | { 5.7763830562279699e-12, 20.000000000000000, 4.5000000000000000, 0.0 }, | |
332 | { 1.7502433074548735e-11, 20.000000000000000, 4.7500000000000000, 0.0 }, | |
333 | { 5.0242393579718066e-11, 20.000000000000000, 5.0000000000000000, 0.0 }, | |
2be75957 | 334 | }; |
b4688136 | 335 | const double toler015 = 1.0000000000000008e-12; |
2be75957 ESR |
336 | // cyl_bessel_i |
337 | ||
338 | // Test data for nu=0.0000000000000000. | |
b4688136 ESR |
339 | // max(|f - f_GSL|): 2.5841998320082313e+28 at index 20 |
340 | // max(|f - f_GSL| / |f_GSL|): 2.4067014886642843e-14 | |
341 | // mean(f - f_GSL): -1.2242902567974868e+27 | |
342 | // variance(f - f_GSL): inf | |
343 | // stddev(f - f_GSL): inf | |
344 | const testcase_cyl_bessel_i<double> | |
345 | data016[21] = | |
346 | { | |
347 | { 1.0000000000000000, 0.0000000000000000, 0.0000000000000000, 0.0 }, | |
348 | { 27.239871823604439, 0.0000000000000000, 5.0000000000000000, 0.0 }, | |
349 | { 2815.7166284662558, 0.0000000000000000, 10.000000000000000, 0.0 }, | |
350 | { 339649.37329791381, 0.0000000000000000, 15.000000000000000, 0.0 }, | |
351 | { 43558282.559553474, 0.0000000000000000, 20.000000000000000, 0.0 }, | |
352 | { 5774560606.4663124, 0.0000000000000000, 25.000000000000000, 0.0 }, | |
353 | { 781672297823.97925, 0.0000000000000000, 30.000000000000000, 0.0 }, | |
354 | { 107338818494514.42, 0.0000000000000000, 35.000000000000000, 0.0 }, | |
355 | { 14894774793419916., 0.0000000000000000, 40.000000000000000, 0.0 }, | |
356 | { 2.0834140751773164e+18, 0.0000000000000000, 45.000000000000000, 0.0 }, | |
357 | { 2.9325537838493457e+20, 0.0000000000000000, 50.000000000000000, 0.0 }, | |
358 | { 4.1487895607332160e+22, 0.0000000000000000, 55.000000000000000, 0.0 }, | |
359 | { 5.8940770556098216e+24, 0.0000000000000000, 60.000000000000000, 0.0 }, | |
360 | { 8.4030398456255582e+26, 0.0000000000000000, 65.000000000000000, 0.0 }, | |
361 | { 1.2015889579125424e+29, 0.0000000000000000, 70.000000000000000, 0.0 }, | |
362 | { 1.7226390780357976e+31, 0.0000000000000000, 75.000000000000000, 0.0 }, | |
363 | { 2.4751784043341661e+33, 0.0000000000000000, 80.000000000000000, 0.0 }, | |
364 | { 3.5634776304081403e+35, 0.0000000000000000, 85.000000000000000, 0.0 }, | |
365 | { 5.1392383455086475e+37, 0.0000000000000000, 90.000000000000000, 0.0 }, | |
366 | { 7.4233258618752072e+39, 0.0000000000000000, 95.000000000000000, 0.0 }, | |
367 | { 1.0737517071310986e+42, 0.0000000000000000, 100.00000000000000, 0.0 }, | |
7c62b943 | 368 | }; |
b4688136 | 369 | const double toler016 = 2.5000000000000015e-12; |
7c62b943 BK |
370 | |
371 | // Test data for nu=0.33333333333333331. | |
b4688136 ESR |
372 | // max(|f - f_GSL|): 1.0986717848657750e+28 at index 20 |
373 | // max(|f - f_GSL| / |f_GSL|): 1.2017640663876795e-14 | |
374 | // mean(f - f_GSL): -5.2068252642007974e+26 | |
375 | // variance(f - f_GSL): inf | |
376 | // stddev(f - f_GSL): inf | |
377 | const testcase_cyl_bessel_i<double> | |
378 | data017[21] = | |
379 | { | |
380 | { 0.0000000000000000, 0.33333333333333331, 0.0000000000000000, 0.0 }, | |
381 | { 26.897553069268362, 0.33333333333333331, 5.0000000000000000, 0.0 }, | |
382 | { 2799.2396097056790, 0.33333333333333331, 10.000000000000000, 0.0 }, | |
383 | { 338348.63146593666, 0.33333333333333331, 15.000000000000000, 0.0 }, | |
384 | { 43434263.927938424, 0.33333333333333331, 20.000000000000000, 0.0 }, | |
385 | { 5761474759.6213636, 0.33333333333333331, 25.000000000000000, 0.0 }, | |
386 | { 780201111830.30237, 0.33333333333333331, 30.000000000000000, 0.0 }, | |
387 | { 107166066959051.91, 0.33333333333333331, 35.000000000000000, 0.0 }, | |
388 | { 14873836574083762., 0.33333333333333331, 40.000000000000000, 0.0 }, | |
389 | { 2.0808143020217085e+18, 0.33333333333333331, 45.000000000000000, 0.0 }, | |
390 | { 2.9292639365644226e+20, 0.33333333333333331, 50.000000000000000, 0.0 }, | |
391 | { 4.1445621624120489e+22, 0.33333333333333331, 55.000000000000000, 0.0 }, | |
392 | { 5.8885758374365916e+24, 0.33333333333333331, 60.000000000000000, 0.0 }, | |
393 | { 8.3958047021083941e+26, 0.33333333333333331, 65.000000000000000, 0.0 }, | |
394 | { 1.2006287819446431e+29, 0.33333333333333331, 70.000000000000000, 0.0 }, | |
395 | { 1.7213548977150022e+31, 0.33333333333333331, 75.000000000000000, 0.0 }, | |
396 | { 2.4734492458444449e+33, 0.33333333333333331, 80.000000000000000, 0.0 }, | |
397 | { 3.5611354547857122e+35, 0.33333333333333331, 85.000000000000000, 0.0 }, | |
398 | { 5.1360491295551848e+37, 0.33333333333333331, 90.000000000000000, 0.0 }, | |
399 | { 7.4189629097600431e+39, 0.33333333333333331, 95.000000000000000, 0.0 }, | |
400 | { 1.0731523308358370e+42, 0.33333333333333331, 100.00000000000000, 0.0 }, | |
7c62b943 | 401 | }; |
b4688136 | 402 | const double toler017 = 1.0000000000000008e-12; |
7c62b943 BK |
403 | |
404 | // Test data for nu=0.50000000000000000. | |
b4688136 ESR |
405 | // max(|f - f_GSL|): 7.1181552258909366e+27 at index 20 |
406 | // max(|f - f_GSL| / |f_GSL|): 1.2230293310085236e-14 | |
407 | // mean(f - f_GSL): -3.3462733503919608e+26 | |
408 | // variance(f - f_GSL): inf | |
409 | // stddev(f - f_GSL): inf | |
410 | const testcase_cyl_bessel_i<double> | |
411 | data018[21] = | |
412 | { | |
413 | { 0.0000000000000000, 0.50000000000000000, 0.0000000000000000, 0.0 }, | |
414 | { 26.477547497559065, 0.50000000000000000, 5.0000000000000000, 0.0 }, | |
415 | { 2778.7846038745711, 0.50000000000000000, 10.000000000000000, 0.0 }, | |
416 | { 336729.88718706399, 0.50000000000000000, 15.000000000000000, 0.0 }, | |
417 | { 43279746.272428922, 0.50000000000000000, 20.000000000000000, 0.0 }, | |
418 | { 5745159748.3464680, 0.50000000000000000, 25.000000000000000, 0.0 }, | |
419 | { 778366068840.44580, 0.50000000000000000, 30.000000000000000, 0.0 }, | |
420 | { 106950522408567.66, 0.50000000000000000, 35.000000000000000, 0.0 }, | |
421 | { 14847705549021960., 0.50000000000000000, 40.000000000000000, 0.0 }, | |
422 | { 2.0775691824625661e+18, 0.50000000000000000, 45.000000000000000, 0.0 }, | |
423 | { 2.9251568529912984e+20, 0.50000000000000000, 50.000000000000000, 0.0 }, | |
424 | { 4.1392840094781220e+22, 0.50000000000000000, 55.000000000000000, 0.0 }, | |
425 | { 5.8817065760751945e+24, 0.50000000000000000, 60.000000000000000, 0.0 }, | |
426 | { 8.3867695787277245e+26, 0.50000000000000000, 65.000000000000000, 0.0 }, | |
427 | { 1.1994296461653203e+29, 0.50000000000000000, 70.000000000000000, 0.0 }, | |
428 | { 1.7197510246063334e+31, 0.50000000000000000, 75.000000000000000, 0.0 }, | |
429 | { 2.4712895036230794e+33, 0.50000000000000000, 80.000000000000000, 0.0 }, | |
430 | { 3.5582099086757769e+35, 0.50000000000000000, 85.000000000000000, 0.0 }, | |
431 | { 5.1320654031231128e+37, 0.50000000000000000, 90.000000000000000, 0.0 }, | |
432 | { 7.4135128383495239e+39, 0.50000000000000000, 95.000000000000000, 0.0 }, | |
433 | { 1.0724035825423179e+42, 0.50000000000000000, 100.00000000000000, 0.0 }, | |
7c62b943 | 434 | }; |
b4688136 | 435 | const double toler018 = 1.0000000000000008e-12; |
7c62b943 BK |
436 | |
437 | // Test data for nu=0.66666666666666663. | |
b4688136 ESR |
438 | // max(|f - f_GSL|): 4.6422751473201760e+27 at index 20 |
439 | // max(|f - f_GSL| / |f_GSL|): 8.8432218147527708e-15 | |
440 | // mean(f - f_GSL): -2.2367290021744526e+26 | |
441 | // variance(f - f_GSL): inf | |
442 | // stddev(f - f_GSL): inf | |
443 | const testcase_cyl_bessel_i<double> | |
444 | data019[21] = | |
445 | { | |
446 | { 0.0000000000000000, 0.66666666666666663, 0.0000000000000000, 0.0 }, | |
447 | { 25.902310583215122, 0.66666666666666663, 5.0000000000000000, 0.0 }, | |
448 | { 2750.4090423459315, 0.66666666666666663, 10.000000000000000, 0.0 }, | |
449 | { 334476.98138574377, 0.66666666666666663, 15.000000000000000, 0.0 }, | |
450 | { 43064361.686912313, 0.66666666666666663, 20.000000000000000, 0.0 }, | |
451 | { 5722397441.9603882, 0.66666666666666663, 25.000000000000000, 0.0 }, | |
452 | { 775804343498.02661, 0.66666666666666663, 30.000000000000000, 0.0 }, | |
453 | { 106649495512800.88, 0.66666666666666663, 35.000000000000000, 0.0 }, | |
454 | { 14811199896983754., 0.66666666666666663, 40.000000000000000, 0.0 }, | |
455 | { 2.0730345814356961e+18, 0.66666666666666663, 45.000000000000000, 0.0 }, | |
456 | { 2.9194166755257467e+20, 0.66666666666666663, 50.000000000000000, 0.0 }, | |
457 | { 4.1319059569935374e+22, 0.66666666666666663, 55.000000000000000, 0.0 }, | |
458 | { 5.8721031476386222e+24, 0.66666666666666663, 60.000000000000000, 0.0 }, | |
459 | { 8.3741368248217830e+26, 0.66666666666666663, 65.000000000000000, 0.0 }, | |
460 | { 1.1977528777008688e+29, 0.66666666666666663, 70.000000000000000, 0.0 }, | |
461 | { 1.7175081240014333e+31, 0.66666666666666663, 75.000000000000000, 0.0 }, | |
462 | { 2.4682690458513916e+33, 0.66666666666666663, 80.000000000000000, 0.0 }, | |
463 | { 3.5541181975850724e+35, 0.66666666666666663, 85.000000000000000, 0.0 }, | |
464 | { 5.1264933963228892e+37, 0.66666666666666663, 90.000000000000000, 0.0 }, | |
465 | { 7.4058894880134064e+39, 0.66666666666666663, 95.000000000000000, 0.0 }, | |
466 | { 1.0713562154788124e+42, 0.66666666666666663, 100.00000000000000, 0.0 }, | |
7c62b943 | 467 | }; |
b4688136 | 468 | const double toler019 = 5.0000000000000039e-13; |
7c62b943 BK |
469 | |
470 | // Test data for nu=1.0000000000000000. | |
b4688136 ESR |
471 | // max(|f - f_GSL|): 5.4159876718735387e+27 at index 20 |
472 | // max(|f - f_GSL| / |f_GSL|): 7.0819761463168391e-15 | |
473 | // mean(f - f_GSL): 2.5933470782682662e+26 | |
474 | // variance(f - f_GSL): inf | |
475 | // stddev(f - f_GSL): inf | |
476 | const testcase_cyl_bessel_i<double> | |
477 | data020[21] = | |
478 | { | |
479 | { 0.0000000000000000, 1.0000000000000000, 0.0000000000000000, 0.0 }, | |
480 | { 24.335642142450524, 1.0000000000000000, 5.0000000000000000, 0.0 }, | |
481 | { 2670.9883037012560, 1.0000000000000000, 10.000000000000000, 0.0 }, | |
482 | { 328124.92197020649, 1.0000000000000000, 15.000000000000000, 0.0 }, | |
483 | { 42454973.385127783, 1.0000000000000000, 20.000000000000000, 0.0 }, | |
484 | { 5657865129.8787022, 1.0000000000000000, 25.000000000000000, 0.0 }, | |
485 | { 768532038938.95667, 1.0000000000000000, 30.000000000000000, 0.0 }, | |
486 | { 105794126051896.17, 1.0000000000000000, 35.000000000000000, 0.0 }, | |
487 | { 14707396163259352., 1.0000000000000000, 40.000000000000000, 0.0 }, | |
488 | { 2.0601334620815780e+18, 1.0000000000000000, 45.000000000000000, 0.0 }, | |
489 | { 2.9030785901035638e+20, 1.0000000000000000, 50.000000000000000, 0.0 }, | |
490 | { 4.1108986452992812e+22, 1.0000000000000000, 55.000000000000000, 0.0 }, | |
491 | { 5.8447515883904527e+24, 1.0000000000000000, 60.000000000000000, 0.0 }, | |
492 | { 8.3381485471501288e+26, 1.0000000000000000, 65.000000000000000, 0.0 }, | |
493 | { 1.1929750788892366e+29, 1.0000000000000000, 70.000000000000000, 0.0 }, | |
494 | { 1.7111160152965382e+31, 1.0000000000000000, 75.000000000000000, 0.0 }, | |
495 | { 2.4596595795675343e+33, 1.0000000000000000, 80.000000000000000, 0.0 }, | |
496 | { 3.5424536064404024e+35, 1.0000000000000000, 85.000000000000000, 0.0 }, | |
497 | { 5.1106068152566129e+37, 1.0000000000000000, 90.000000000000000, 0.0 }, | |
498 | { 7.3841518091360182e+39, 1.0000000000000000, 95.000000000000000, 0.0 }, | |
499 | { 1.0683693903381569e+42, 1.0000000000000000, 100.00000000000000, 0.0 }, | |
7c62b943 | 500 | }; |
b4688136 | 501 | const double toler020 = 5.0000000000000039e-13; |
7c62b943 BK |
502 | |
503 | // Test data for nu=2.0000000000000000. | |
b4688136 ESR |
504 | // max(|f - f_GSL|): 6.1897001964269014e+27 at index 20 |
505 | // max(|f - f_GSL| / |f_GSL|): 1.0553248866140883e-14 | |
506 | // mean(f - f_GSL): 2.9514880793266611e+26 | |
507 | // variance(f - f_GSL): inf | |
508 | // stddev(f - f_GSL): inf | |
509 | const testcase_cyl_bessel_i<double> | |
510 | data021[21] = | |
511 | { | |
512 | { 0.0000000000000000, 2.0000000000000000, 0.0000000000000000, 0.0 }, | |
513 | { 17.505614966624233, 2.0000000000000000, 5.0000000000000000, 0.0 }, | |
514 | { 2281.5189677260046, 2.0000000000000000, 10.000000000000000, 0.0 }, | |
515 | { 295899.38370188628, 2.0000000000000000, 15.000000000000000, 0.0 }, | |
516 | { 39312785.221040756, 2.0000000000000000, 20.000000000000000, 0.0 }, | |
517 | { 5321931396.0760155, 2.0000000000000000, 25.000000000000000, 0.0 }, | |
518 | { 730436828561.38013, 2.0000000000000000, 30.000000000000000, 0.0 }, | |
519 | { 101293439862977.19, 2.0000000000000000, 35.000000000000000, 0.0 }, | |
520 | { 14159404985256920., 2.0000000000000000, 40.000000000000000, 0.0 }, | |
521 | { 1.9918525879736883e+18, 2.0000000000000000, 45.000000000000000, 0.0 }, | |
522 | { 2.8164306402451938e+20, 2.0000000000000000, 50.000000000000000, 0.0 }, | |
523 | { 3.9993023372677540e+22, 2.0000000000000000, 55.000000000000000, 0.0 }, | |
524 | { 5.6992520026634433e+24, 2.0000000000000000, 60.000000000000000, 0.0 }, | |
525 | { 8.1464814287900364e+26, 2.0000000000000000, 65.000000000000000, 0.0 }, | |
526 | { 1.1675039556585663e+29, 2.0000000000000000, 70.000000000000000, 0.0 }, | |
527 | { 1.6770093176278926e+31, 2.0000000000000000, 75.000000000000000, 0.0 }, | |
528 | { 2.4136869148449879e+33, 2.0000000000000000, 80.000000000000000, 0.0 }, | |
529 | { 3.4801257808448186e+35, 2.0000000000000000, 85.000000000000000, 0.0 }, | |
530 | { 5.0256693051696307e+37, 2.0000000000000000, 90.000000000000000, 0.0 }, | |
531 | { 7.2678700343145818e+39, 2.0000000000000000, 95.000000000000000, 0.0 }, | |
532 | { 1.0523843193243042e+42, 2.0000000000000000, 100.00000000000000, 0.0 }, | |
7c62b943 | 533 | }; |
b4688136 | 534 | const double toler021 = 1.0000000000000008e-12; |
7c62b943 BK |
535 | |
536 | // Test data for nu=5.0000000000000000. | |
b4688136 ESR |
537 | // max(|f - f_GSL|): 1.0831975343747077e+27 at index 20 |
538 | // max(|f - f_GSL| / |f_GSL|): 1.0289491375166011e-14 | |
539 | // mean(f - f_GSL): -5.2041812077613416e+25 | |
540 | // variance(f - f_GSL): inf | |
541 | // stddev(f - f_GSL): inf | |
542 | const testcase_cyl_bessel_i<double> | |
543 | data022[21] = | |
544 | { | |
545 | { 0.0000000000000000, 5.0000000000000000, 0.0000000000000000, 0.0 }, | |
546 | { 2.1579745473225476, 5.0000000000000000, 5.0000000000000000, 0.0 }, | |
547 | { 777.18828640326012, 5.0000000000000000, 10.000000000000000, 0.0 }, | |
548 | { 144572.01120063409, 5.0000000000000000, 15.000000000000000, 0.0 }, | |
549 | { 23018392.213413671, 5.0000000000000000, 20.000000000000000, 0.0 }, | |
550 | { 3472466208.7419176, 5.0000000000000000, 25.000000000000000, 0.0 }, | |
551 | { 512151465476.93494, 5.0000000000000000, 30.000000000000000, 0.0 }, | |
552 | { 74756743552251.547, 5.0000000000000000, 35.000000000000000, 0.0 }, | |
553 | { 10858318337624278., 5.0000000000000000, 40.000000000000000, 0.0 }, | |
554 | { 1.5736087399245911e+18, 5.0000000000000000, 45.000000000000000, 0.0 }, | |
555 | { 2.2785483079112825e+20, 5.0000000000000000, 50.000000000000000, 0.0 }, | |
556 | { 3.2989391052963687e+22, 5.0000000000000000, 55.000000000000000, 0.0 }, | |
557 | { 4.7777652072561732e+24, 5.0000000000000000, 60.000000000000000, 0.0 }, | |
558 | { 6.9232165147172657e+26, 5.0000000000000000, 65.000000000000000, 0.0 }, | |
559 | { 1.0038643002095155e+29, 5.0000000000000000, 70.000000000000000, 0.0 }, | |
560 | { 1.4566328222327073e+31, 5.0000000000000000, 75.000000000000000, 0.0 }, | |
561 | { 2.1151488565944835e+33, 5.0000000000000000, 80.000000000000000, 0.0 }, | |
562 | { 3.0735883450768239e+35, 5.0000000000000000, 85.000000000000000, 0.0 }, | |
563 | { 4.4694790189230327e+37, 5.0000000000000000, 90.000000000000000, 0.0 }, | |
564 | { 6.5037505570430995e+39, 5.0000000000000000, 95.000000000000000, 0.0 }, | |
565 | { 9.4700938730355882e+41, 5.0000000000000000, 100.00000000000000, 0.0 }, | |
7c62b943 | 566 | }; |
b4688136 | 567 | const double toler022 = 1.0000000000000008e-12; |
7c62b943 BK |
568 | |
569 | // Test data for nu=10.000000000000000. | |
b4688136 ESR |
570 | // max(|f - f_GSL|): 1.5474250491067253e+26 at index 20 |
571 | // max(|f - f_GSL| / |f_GSL|): 1.2009151331790140e-14 | |
572 | // mean(f - f_GSL): 7.4845081675400805e+24 | |
573 | // variance(f - f_GSL): inf | |
574 | // stddev(f - f_GSL): inf | |
575 | const testcase_cyl_bessel_i<double> | |
576 | data023[21] = | |
577 | { | |
578 | { 0.0000000000000000, 10.000000000000000, 0.0000000000000000, 0.0 }, | |
579 | { 0.0045800444191760525, 10.000000000000000, 5.0000000000000000, 0.0 }, | |
580 | { 21.891706163723381, 10.000000000000000, 10.000000000000000, 0.0 }, | |
581 | { 12267.475049806462, 10.000000000000000, 15.000000000000000, 0.0 }, | |
582 | { 3540200.2090195213, 10.000000000000000, 20.000000000000000, 0.0 }, | |
583 | { 771298871.17072666, 10.000000000000000, 25.000000000000000, 0.0 }, | |
584 | { 145831809975.96710, 10.000000000000000, 30.000000000000000, 0.0 }, | |
585 | { 25449470018534.777, 10.000000000000000, 35.000000000000000, 0.0 }, | |
586 | { 4228469210516757.0, 10.000000000000000, 40.000000000000000, 0.0 }, | |
587 | { 6.8049404557505165e+17, 10.000000000000000, 45.000000000000000, 0.0 }, | |
588 | { 1.0715971594776370e+20, 10.000000000000000, 50.000000000000000, 0.0 }, | |
589 | { 1.6618215752886714e+22, 10.000000000000000, 55.000000000000000, 0.0 }, | |
590 | { 2.5486246072566784e+24, 10.000000000000000, 60.000000000000000, 0.0 }, | |
591 | { 3.8764628702155475e+26, 10.000000000000000, 65.000000000000000, 0.0 }, | |
592 | { 5.8592538145409686e+28, 10.000000000000000, 70.000000000000000, 0.0 }, | |
593 | { 8.8135370711317444e+30, 10.000000000000000, 75.000000000000000, 0.0 }, | |
594 | { 1.3207418268325279e+33, 10.000000000000000, 80.000000000000000, 0.0 }, | |
595 | { 1.9732791360862190e+35, 10.000000000000000, 85.000000000000000, 0.0 }, | |
596 | { 2.9411893748384672e+37, 10.000000000000000, 90.000000000000000, 0.0 }, | |
597 | { 4.3754494922439984e+39, 10.000000000000000, 95.000000000000000, 0.0 }, | |
598 | { 6.4989755247201446e+41, 10.000000000000000, 100.00000000000000, 0.0 }, | |
7c62b943 | 599 | }; |
b4688136 | 600 | const double toler023 = 1.0000000000000008e-12; |
7c62b943 BK |
601 | |
602 | // Test data for nu=20.000000000000000. | |
b4688136 ESR |
603 | // max(|f - f_GSL|): 1.9342813113834067e+25 at index 20 |
604 | // max(|f - f_GSL| / |f_GSL|): 1.5819230756119302e-14 | |
605 | // mean(f - f_GSL): 1.0213821732843951e+24 | |
606 | // variance(f - f_GSL): inf | |
607 | // stddev(f - f_GSL): inf | |
608 | const testcase_cyl_bessel_i<double> | |
609 | data024[21] = | |
610 | { | |
611 | { 0.0000000000000000, 20.000000000000000, 0.0000000000000000, 0.0 }, | |
612 | { 5.0242393579718066e-11, 20.000000000000000, 5.0000000000000000, 0.0 }, | |
613 | { 0.00012507997356449481, 20.000000000000000, 10.000000000000000, 0.0 }, | |
614 | { 1.6470152535015836, 20.000000000000000, 15.000000000000000, 0.0 }, | |
615 | { 3188.7503288536154, 20.000000000000000, 20.000000000000000, 0.0 }, | |
616 | { 2449840.5422952301, 20.000000000000000, 25.000000000000000, 0.0 }, | |
617 | { 1126985104.4483771, 20.000000000000000, 30.000000000000000, 0.0 }, | |
618 | { 379617876611.88580, 20.000000000000000, 35.000000000000000, 0.0 }, | |
619 | { 104459633129479.88, 20.000000000000000, 40.000000000000000, 0.0 }, | |
620 | { 25039579987216524., 20.000000000000000, 45.000000000000000, 0.0 }, | |
621 | { 5.4420084027529984e+18, 20.000000000000000, 50.000000000000000, 0.0 }, | |
622 | { 1.1007498584335495e+21, 20.000000000000000, 55.000000000000000, 0.0 }, | |
623 | { 2.1091734863057236e+23, 20.000000000000000, 60.000000000000000, 0.0 }, | |
624 | { 3.8763618091286891e+25, 20.000000000000000, 65.000000000000000, 0.0 }, | |
625 | { 6.8946130527930870e+27, 20.000000000000000, 70.000000000000000, 0.0 }, | |
626 | { 1.1946319948836447e+30, 20.000000000000000, 75.000000000000000, 0.0 }, | |
627 | { 2.0265314377577587e+32, 20.000000000000000, 80.000000000000000, 0.0 }, | |
628 | { 3.3784665214179985e+34, 20.000000000000000, 85.000000000000000, 0.0 }, | |
629 | { 5.5516089411796646e+36, 20.000000000000000, 90.000000000000000, 0.0 }, | |
630 | { 9.0129310795305151e+38, 20.000000000000000, 95.000000000000000, 0.0 }, | |
631 | { 1.4483461256427176e+41, 20.000000000000000, 100.00000000000000, 0.0 }, | |
7c62b943 | 632 | }; |
b4688136 | 633 | const double toler024 = 1.0000000000000008e-12; |
7c62b943 BK |
634 | |
635 | // Test data for nu=50.000000000000000. | |
b4688136 ESR |
636 | // max(|f - f_GSL|): 4.4862481587261630e+22 at index 20 |
637 | // max(|f - f_GSL| / |f_GSL|): 6.0191728870880627e-14 | |
638 | // mean(f - f_GSL): 2.1246678955085789e+21 | |
639 | // variance(f - f_GSL): inf | |
640 | // stddev(f - f_GSL): inf | |
641 | const testcase_cyl_bessel_i<double> | |
642 | data025[21] = | |
643 | { | |
644 | { 0.0000000000000000, 50.000000000000000, 0.0000000000000000, 0.0 }, | |
645 | { 2.9314696468108517e-45, 50.000000000000000, 5.0000000000000000, 0.0 }, | |
646 | { 4.7568945607268435e-30, 50.000000000000000, 10.000000000000000, 0.0 }, | |
647 | { 5.5468372730667069e-21, 50.000000000000000, 15.000000000000000, 0.0 }, | |
648 | { 2.2551205757604056e-14, 50.000000000000000, 20.000000000000000, 0.0 }, | |
649 | { 4.5344251866130257e-09, 50.000000000000000, 25.000000000000000, 0.0 }, | |
650 | { 0.00014590106916468940, 50.000000000000000, 30.000000000000000, 0.0 }, | |
651 | { 1.3965549457254882, 50.000000000000000, 35.000000000000000, 0.0 }, | |
652 | { 5726.8656631289887, 50.000000000000000, 40.000000000000000, 0.0 }, | |
653 | { 12672593.113027781, 50.000000000000000, 45.000000000000000, 0.0 }, | |
654 | { 17650802430.016712, 50.000000000000000, 50.000000000000000, 0.0 }, | |
655 | { 17220231607789.926, 50.000000000000000, 55.000000000000000, 0.0 }, | |
656 | { 12704607933652176., 50.000000000000000, 60.000000000000000, 0.0 }, | |
657 | { 7.4989491942193715e+18, 50.000000000000000, 65.000000000000000, 0.0 }, | |
658 | { 3.6944034898904922e+21, 50.000000000000000, 70.000000000000000, 0.0 }, | |
659 | { 1.5691634774370186e+24, 50.000000000000000, 75.000000000000000, 0.0 }, | |
660 | { 5.8927749458163587e+26, 50.000000000000000, 80.000000000000000, 0.0 }, | |
661 | { 1.9958849054749339e+29, 50.000000000000000, 85.000000000000000, 0.0 }, | |
662 | { 6.1946050361781500e+31, 50.000000000000000, 90.000000000000000, 0.0 }, | |
663 | { 1.7845429728697119e+34, 50.000000000000000, 95.000000000000000, 0.0 }, | |
664 | { 4.8219580855940819e+36, 50.000000000000000, 100.00000000000000, 0.0 }, | |
7c62b943 | 665 | }; |
b4688136 | 666 | const double toler025 = 5.0000000000000029e-12; |
7c62b943 BK |
667 | |
668 | // Test data for nu=100.00000000000000. | |
b4688136 ESR |
669 | // max(|f - f_GSL|): 185597952.00000000 at index 20 |
670 | // max(|f - f_GSL| / |f_GSL|): 2.8278213985558577e-13 | |
671 | // mean(f - f_GSL): 8855366.2060860656 | |
672 | // variance(f - f_GSL): 4.2527168883984777e+19 | |
673 | // stddev(f - f_GSL): 6521285830.5693655 | |
674 | const testcase_cyl_bessel_i<double> | |
675 | data026[21] = | |
676 | { | |
677 | { 0.0000000000000000, 100.00000000000000, 0.0000000000000000, 0.0 }, | |
678 | { 7.0935514885313123e-119, 100.00000000000000, 5.0000000000000000, 0.0 }, | |
679 | { 1.0823442017492015e-88, 100.00000000000000, 10.000000000000000, 0.0 }, | |
680 | { 5.9887888536468904e-71, 100.00000000000000, 15.000000000000000, 0.0 }, | |
681 | { 2.8703193216428771e-58, 100.00000000000000, 20.000000000000000, 0.0 }, | |
682 | { 2.4426896913122370e-48, 100.00000000000000, 25.000000000000000, 0.0 }, | |
683 | { 3.9476420053334271e-40, 100.00000000000000, 30.000000000000000, 0.0 }, | |
684 | { 4.2836596180818780e-33, 100.00000000000000, 35.000000000000000, 0.0 }, | |
685 | { 6.6249380222596129e-27, 100.00000000000000, 40.000000000000000, 0.0 }, | |
686 | { 2.3702587262788900e-21, 100.00000000000000, 45.000000000000000, 0.0 }, | |
687 | { 2.7278879470966917e-16, 100.00000000000000, 50.000000000000000, 0.0 }, | |
688 | { 1.2763258878228082e-11, 100.00000000000000, 55.000000000000000, 0.0 }, | |
689 | { 2.8832770906491972e-07, 100.00000000000000, 60.000000000000000, 0.0 }, | |
690 | { 0.0035805902717061223, 100.00000000000000, 65.000000000000000, 0.0 }, | |
691 | { 27.017219102595387, 100.00000000000000, 70.000000000000000, 0.0 }, | |
692 | { 134001.44891209516, 100.00000000000000, 75.000000000000000, 0.0 }, | |
693 | { 465194832.85060996, 100.00000000000000, 80.000000000000000, 0.0 }, | |
694 | { 1189280653119.4814, 100.00000000000000, 85.000000000000000, 0.0 }, | |
695 | { 2334119331258728.0, 100.00000000000000, 90.000000000000000, 0.0 }, | |
696 | { 3.6399223078502436e+18, 100.00000000000000, 95.000000000000000, 0.0 }, | |
697 | { 4.6415349416162005e+21, 100.00000000000000, 100.00000000000000, 0.0 }, | |
7c62b943 | 698 | }; |
b4688136 | 699 | const double toler026 = 2.5000000000000014e-11; |
7c62b943 | 700 | |
b4688136 | 701 | template<typename Ret, unsigned int Num> |
2be75957 | 702 | void |
b4688136 | 703 | test(const testcase_cyl_bessel_i<Ret> (&data)[Num], Ret toler) |
2be75957 | 704 | { |
b4688136 ESR |
705 | bool test __attribute__((unused)) = true; |
706 | const Ret eps = std::numeric_limits<Ret>::epsilon(); | |
707 | Ret max_abs_diff = -Ret(1); | |
708 | Ret max_abs_frac = -Ret(1); | |
709 | unsigned int num_datum = Num; | |
2be75957 ESR |
710 | for (unsigned int i = 0; i < num_datum; ++i) |
711 | { | |
b4688136 ESR |
712 | const Ret f = std::tr1::cyl_bessel_i(data[i].nu, data[i].x); |
713 | const Ret f0 = data[i].f0; | |
714 | const Ret diff = f - f0; | |
2be75957 ESR |
715 | if (std::abs(diff) > max_abs_diff) |
716 | max_abs_diff = std::abs(diff); | |
b4688136 ESR |
717 | if (std::abs(f0) > Ret(10) * eps |
718 | && std::abs(f) > Ret(10) * eps) | |
2be75957 | 719 | { |
b4688136 | 720 | const Ret frac = diff / f0; |
2be75957 ESR |
721 | if (std::abs(frac) > max_abs_frac) |
722 | max_abs_frac = std::abs(frac); | |
723 | } | |
724 | } | |
b4688136 | 725 | VERIFY(max_abs_frac < toler); |
2be75957 | 726 | } |
7c62b943 | 727 | |
2be75957 ESR |
728 | int |
729 | main() | |
7c62b943 | 730 | { |
b4688136 ESR |
731 | test(data007, toler007); |
732 | test(data008, toler008); | |
733 | test(data009, toler009); | |
734 | test(data010, toler010); | |
735 | test(data011, toler011); | |
736 | test(data012, toler012); | |
737 | test(data013, toler013); | |
738 | test(data014, toler014); | |
739 | test(data015, toler015); | |
740 | test(data016, toler016); | |
741 | test(data017, toler017); | |
742 | test(data018, toler018); | |
743 | test(data019, toler019); | |
744 | test(data020, toler020); | |
745 | test(data021, toler021); | |
746 | test(data022, toler022); | |
747 | test(data023, toler023); | |
748 | test(data024, toler024); | |
749 | test(data025, toler025); | |
750 | test(data026, toler026); | |
7c62b943 BK |
751 | return 0; |
752 | } |