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Commit | Line | Data |
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196c9e7a | 1 | // { dg-do run { target c++11 } } |
2be75957 ESR |
2 | // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" } |
3 | // | |
99dee823 | 4 | // Copyright (C) 2016-2021 Free Software Foundation, Inc. |
2be75957 ESR |
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 | |
9 | // Free Software Foundation; either version 3, or (at your option) | |
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 | |
18 | // with this library; see the file COPYING3. If not see | |
19 | // <http://www.gnu.org/licenses/>. | |
20 | ||
21 | // hermite | |
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/ | |
24 | #include <limits> | |
25 | #include <cmath> | |
26 | #if defined(__TEST_DEBUG) | |
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 | } | |
35 | #else | |
36 | # include <testsuite_hooks.h> | |
37 | #endif | |
38 | #include <specfun_testcase.h> | |
39 | ||
2be75957 | 40 | // Test data for n=0. |
b4688136 | 41 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
2be75957 | 42 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
b4688136 ESR |
43 | // mean(f - f_GSL): 0.0000000000000000 |
44 | // variance(f - f_GSL): 0.0000000000000000 | |
45 | // stddev(f - f_GSL): 0.0000000000000000 | |
2be75957 ESR |
46 | const testcase_hermite<double> |
47 | data001[201] = | |
48 | { | |
b4688136 ESR |
49 | { 1.0000000000000000, 0, -10.000000000000000, 0.0 }, |
50 | { 1.0000000000000000, 0, -9.9000000000000004, 0.0 }, | |
51 | { 1.0000000000000000, 0, -9.8000000000000007, 0.0 }, | |
52 | { 1.0000000000000000, 0, -9.6999999999999993, 0.0 }, | |
53 | { 1.0000000000000000, 0, -9.5999999999999996, 0.0 }, | |
54 | { 1.0000000000000000, 0, -9.5000000000000000, 0.0 }, | |
55 | { 1.0000000000000000, 0, -9.4000000000000004, 0.0 }, | |
56 | { 1.0000000000000000, 0, -9.3000000000000007, 0.0 }, | |
57 | { 1.0000000000000000, 0, -9.1999999999999993, 0.0 }, | |
58 | { 1.0000000000000000, 0, -9.0999999999999996, 0.0 }, | |
59 | { 1.0000000000000000, 0, -9.0000000000000000, 0.0 }, | |
60 | { 1.0000000000000000, 0, -8.9000000000000004, 0.0 }, | |
61 | { 1.0000000000000000, 0, -8.8000000000000007, 0.0 }, | |
62 | { 1.0000000000000000, 0, -8.6999999999999993, 0.0 }, | |
63 | { 1.0000000000000000, 0, -8.5999999999999996, 0.0 }, | |
64 | { 1.0000000000000000, 0, -8.5000000000000000, 0.0 }, | |
65 | { 1.0000000000000000, 0, -8.4000000000000004, 0.0 }, | |
66 | { 1.0000000000000000, 0, -8.3000000000000007, 0.0 }, | |
67 | { 1.0000000000000000, 0, -8.1999999999999993, 0.0 }, | |
68 | { 1.0000000000000000, 0, -8.0999999999999996, 0.0 }, | |
69 | { 1.0000000000000000, 0, -8.0000000000000000, 0.0 }, | |
70 | { 1.0000000000000000, 0, -7.9000000000000004, 0.0 }, | |
71 | { 1.0000000000000000, 0, -7.7999999999999998, 0.0 }, | |
72 | { 1.0000000000000000, 0, -7.6999999999999993, 0.0 }, | |
73 | { 1.0000000000000000, 0, -7.5999999999999996, 0.0 }, | |
74 | { 1.0000000000000000, 0, -7.5000000000000000, 0.0 }, | |
75 | { 1.0000000000000000, 0, -7.4000000000000004, 0.0 }, | |
76 | { 1.0000000000000000, 0, -7.2999999999999998, 0.0 }, | |
77 | { 1.0000000000000000, 0, -7.1999999999999993, 0.0 }, | |
78 | { 1.0000000000000000, 0, -7.0999999999999996, 0.0 }, | |
79 | { 1.0000000000000000, 0, -7.0000000000000000, 0.0 }, | |
80 | { 1.0000000000000000, 0, -6.9000000000000004, 0.0 }, | |
81 | { 1.0000000000000000, 0, -6.7999999999999998, 0.0 }, | |
82 | { 1.0000000000000000, 0, -6.6999999999999993, 0.0 }, | |
83 | { 1.0000000000000000, 0, -6.5999999999999996, 0.0 }, | |
84 | { 1.0000000000000000, 0, -6.5000000000000000, 0.0 }, | |
85 | { 1.0000000000000000, 0, -6.4000000000000004, 0.0 }, | |
86 | { 1.0000000000000000, 0, -6.2999999999999998, 0.0 }, | |
87 | { 1.0000000000000000, 0, -6.1999999999999993, 0.0 }, | |
88 | { 1.0000000000000000, 0, -6.0999999999999996, 0.0 }, | |
89 | { 1.0000000000000000, 0, -6.0000000000000000, 0.0 }, | |
90 | { 1.0000000000000000, 0, -5.8999999999999995, 0.0 }, | |
91 | { 1.0000000000000000, 0, -5.7999999999999998, 0.0 }, | |
92 | { 1.0000000000000000, 0, -5.7000000000000002, 0.0 }, | |
93 | { 1.0000000000000000, 0, -5.5999999999999996, 0.0 }, | |
94 | { 1.0000000000000000, 0, -5.5000000000000000, 0.0 }, | |
95 | { 1.0000000000000000, 0, -5.3999999999999995, 0.0 }, | |
96 | { 1.0000000000000000, 0, -5.2999999999999998, 0.0 }, | |
97 | { 1.0000000000000000, 0, -5.1999999999999993, 0.0 }, | |
98 | { 1.0000000000000000, 0, -5.0999999999999996, 0.0 }, | |
99 | { 1.0000000000000000, 0, -5.0000000000000000, 0.0 }, | |
100 | { 1.0000000000000000, 0, -4.8999999999999995, 0.0 }, | |
101 | { 1.0000000000000000, 0, -4.7999999999999998, 0.0 }, | |
102 | { 1.0000000000000000, 0, -4.6999999999999993, 0.0 }, | |
103 | { 1.0000000000000000, 0, -4.5999999999999996, 0.0 }, | |
104 | { 1.0000000000000000, 0, -4.5000000000000000, 0.0 }, | |
105 | { 1.0000000000000000, 0, -4.3999999999999995, 0.0 }, | |
106 | { 1.0000000000000000, 0, -4.2999999999999998, 0.0 }, | |
107 | { 1.0000000000000000, 0, -4.1999999999999993, 0.0 }, | |
108 | { 1.0000000000000000, 0, -4.0999999999999996, 0.0 }, | |
109 | { 1.0000000000000000, 0, -4.0000000000000000, 0.0 }, | |
110 | { 1.0000000000000000, 0, -3.8999999999999995, 0.0 }, | |
111 | { 1.0000000000000000, 0, -3.7999999999999998, 0.0 }, | |
112 | { 1.0000000000000000, 0, -3.6999999999999993, 0.0 }, | |
113 | { 1.0000000000000000, 0, -3.5999999999999996, 0.0 }, | |
114 | { 1.0000000000000000, 0, -3.5000000000000000, 0.0 }, | |
115 | { 1.0000000000000000, 0, -3.3999999999999995, 0.0 }, | |
116 | { 1.0000000000000000, 0, -3.2999999999999998, 0.0 }, | |
117 | { 1.0000000000000000, 0, -3.1999999999999993, 0.0 }, | |
118 | { 1.0000000000000000, 0, -3.0999999999999996, 0.0 }, | |
119 | { 1.0000000000000000, 0, -3.0000000000000000, 0.0 }, | |
120 | { 1.0000000000000000, 0, -2.8999999999999995, 0.0 }, | |
121 | { 1.0000000000000000, 0, -2.7999999999999998, 0.0 }, | |
122 | { 1.0000000000000000, 0, -2.6999999999999993, 0.0 }, | |
123 | { 1.0000000000000000, 0, -2.5999999999999996, 0.0 }, | |
124 | { 1.0000000000000000, 0, -2.5000000000000000, 0.0 }, | |
125 | { 1.0000000000000000, 0, -2.3999999999999995, 0.0 }, | |
126 | { 1.0000000000000000, 0, -2.2999999999999998, 0.0 }, | |
127 | { 1.0000000000000000, 0, -2.1999999999999993, 0.0 }, | |
128 | { 1.0000000000000000, 0, -2.0999999999999996, 0.0 }, | |
129 | { 1.0000000000000000, 0, -2.0000000000000000, 0.0 }, | |
130 | { 1.0000000000000000, 0, -1.9000000000000004, 0.0 }, | |
131 | { 1.0000000000000000, 0, -1.7999999999999989, 0.0 }, | |
132 | { 1.0000000000000000, 0, -1.6999999999999993, 0.0 }, | |
133 | { 1.0000000000000000, 0, -1.5999999999999996, 0.0 }, | |
134 | { 1.0000000000000000, 0, -1.5000000000000000, 0.0 }, | |
135 | { 1.0000000000000000, 0, -1.4000000000000004, 0.0 }, | |
136 | { 1.0000000000000000, 0, -1.2999999999999989, 0.0 }, | |
137 | { 1.0000000000000000, 0, -1.1999999999999993, 0.0 }, | |
138 | { 1.0000000000000000, 0, -1.0999999999999996, 0.0 }, | |
139 | { 1.0000000000000000, 0, -1.0000000000000000, 0.0 }, | |
140 | { 1.0000000000000000, 0, -0.90000000000000036, 0.0 }, | |
141 | { 1.0000000000000000, 0, -0.79999999999999893, 0.0 }, | |
142 | { 1.0000000000000000, 0, -0.69999999999999929, 0.0 }, | |
143 | { 1.0000000000000000, 0, -0.59999999999999964, 0.0 }, | |
144 | { 1.0000000000000000, 0, -0.50000000000000000, 0.0 }, | |
145 | { 1.0000000000000000, 0, -0.39999999999999858, 0.0 }, | |
146 | { 1.0000000000000000, 0, -0.29999999999999893, 0.0 }, | |
147 | { 1.0000000000000000, 0, -0.19999999999999929, 0.0 }, | |
148 | { 1.0000000000000000, 0, -0.099999999999999645, 0.0 }, | |
149 | { 1.0000000000000000, 0, 0.0000000000000000, 0.0 }, | |
150 | { 1.0000000000000000, 0, 0.10000000000000142, 0.0 }, | |
151 | { 1.0000000000000000, 0, 0.20000000000000107, 0.0 }, | |
152 | { 1.0000000000000000, 0, 0.30000000000000071, 0.0 }, | |
153 | { 1.0000000000000000, 0, 0.40000000000000036, 0.0 }, | |
154 | { 1.0000000000000000, 0, 0.50000000000000000, 0.0 }, | |
155 | { 1.0000000000000000, 0, 0.60000000000000142, 0.0 }, | |
156 | { 1.0000000000000000, 0, 0.70000000000000107, 0.0 }, | |
157 | { 1.0000000000000000, 0, 0.80000000000000071, 0.0 }, | |
158 | { 1.0000000000000000, 0, 0.90000000000000036, 0.0 }, | |
159 | { 1.0000000000000000, 0, 1.0000000000000000, 0.0 }, | |
160 | { 1.0000000000000000, 0, 1.1000000000000014, 0.0 }, | |
161 | { 1.0000000000000000, 0, 1.2000000000000011, 0.0 }, | |
162 | { 1.0000000000000000, 0, 1.3000000000000007, 0.0 }, | |
163 | { 1.0000000000000000, 0, 1.4000000000000004, 0.0 }, | |
164 | { 1.0000000000000000, 0, 1.5000000000000000, 0.0 }, | |
165 | { 1.0000000000000000, 0, 1.6000000000000014, 0.0 }, | |
166 | { 1.0000000000000000, 0, 1.7000000000000011, 0.0 }, | |
167 | { 1.0000000000000000, 0, 1.8000000000000007, 0.0 }, | |
168 | { 1.0000000000000000, 0, 1.9000000000000004, 0.0 }, | |
169 | { 1.0000000000000000, 0, 2.0000000000000000, 0.0 }, | |
170 | { 1.0000000000000000, 0, 2.1000000000000014, 0.0 }, | |
171 | { 1.0000000000000000, 0, 2.2000000000000011, 0.0 }, | |
172 | { 1.0000000000000000, 0, 2.3000000000000007, 0.0 }, | |
173 | { 1.0000000000000000, 0, 2.4000000000000004, 0.0 }, | |
174 | { 1.0000000000000000, 0, 2.5000000000000000, 0.0 }, | |
175 | { 1.0000000000000000, 0, 2.6000000000000014, 0.0 }, | |
176 | { 1.0000000000000000, 0, 2.7000000000000011, 0.0 }, | |
177 | { 1.0000000000000000, 0, 2.8000000000000007, 0.0 }, | |
178 | { 1.0000000000000000, 0, 2.9000000000000004, 0.0 }, | |
179 | { 1.0000000000000000, 0, 3.0000000000000000, 0.0 }, | |
180 | { 1.0000000000000000, 0, 3.1000000000000014, 0.0 }, | |
181 | { 1.0000000000000000, 0, 3.2000000000000011, 0.0 }, | |
182 | { 1.0000000000000000, 0, 3.3000000000000007, 0.0 }, | |
183 | { 1.0000000000000000, 0, 3.4000000000000004, 0.0 }, | |
184 | { 1.0000000000000000, 0, 3.5000000000000000, 0.0 }, | |
185 | { 1.0000000000000000, 0, 3.6000000000000014, 0.0 }, | |
186 | { 1.0000000000000000, 0, 3.7000000000000011, 0.0 }, | |
187 | { 1.0000000000000000, 0, 3.8000000000000007, 0.0 }, | |
188 | { 1.0000000000000000, 0, 3.9000000000000004, 0.0 }, | |
189 | { 1.0000000000000000, 0, 4.0000000000000000, 0.0 }, | |
190 | { 1.0000000000000000, 0, 4.1000000000000014, 0.0 }, | |
191 | { 1.0000000000000000, 0, 4.2000000000000011, 0.0 }, | |
192 | { 1.0000000000000000, 0, 4.3000000000000007, 0.0 }, | |
193 | { 1.0000000000000000, 0, 4.4000000000000004, 0.0 }, | |
194 | { 1.0000000000000000, 0, 4.5000000000000000, 0.0 }, | |
195 | { 1.0000000000000000, 0, 4.6000000000000014, 0.0 }, | |
196 | { 1.0000000000000000, 0, 4.7000000000000011, 0.0 }, | |
197 | { 1.0000000000000000, 0, 4.8000000000000007, 0.0 }, | |
198 | { 1.0000000000000000, 0, 4.9000000000000004, 0.0 }, | |
199 | { 1.0000000000000000, 0, 5.0000000000000000, 0.0 }, | |
200 | { 1.0000000000000000, 0, 5.1000000000000014, 0.0 }, | |
201 | { 1.0000000000000000, 0, 5.2000000000000011, 0.0 }, | |
202 | { 1.0000000000000000, 0, 5.3000000000000007, 0.0 }, | |
203 | { 1.0000000000000000, 0, 5.4000000000000004, 0.0 }, | |
204 | { 1.0000000000000000, 0, 5.5000000000000000, 0.0 }, | |
205 | { 1.0000000000000000, 0, 5.6000000000000014, 0.0 }, | |
206 | { 1.0000000000000000, 0, 5.7000000000000011, 0.0 }, | |
207 | { 1.0000000000000000, 0, 5.8000000000000007, 0.0 }, | |
208 | { 1.0000000000000000, 0, 5.9000000000000004, 0.0 }, | |
209 | { 1.0000000000000000, 0, 6.0000000000000000, 0.0 }, | |
210 | { 1.0000000000000000, 0, 6.1000000000000014, 0.0 }, | |
211 | { 1.0000000000000000, 0, 6.1999999999999993, 0.0 }, | |
212 | { 1.0000000000000000, 0, 6.3000000000000007, 0.0 }, | |
213 | { 1.0000000000000000, 0, 6.4000000000000021, 0.0 }, | |
214 | { 1.0000000000000000, 0, 6.5000000000000000, 0.0 }, | |
215 | { 1.0000000000000000, 0, 6.6000000000000014, 0.0 }, | |
216 | { 1.0000000000000000, 0, 6.6999999999999993, 0.0 }, | |
217 | { 1.0000000000000000, 0, 6.8000000000000007, 0.0 }, | |
218 | { 1.0000000000000000, 0, 6.9000000000000021, 0.0 }, | |
219 | { 1.0000000000000000, 0, 7.0000000000000000, 0.0 }, | |
220 | { 1.0000000000000000, 0, 7.1000000000000014, 0.0 }, | |
221 | { 1.0000000000000000, 0, 7.1999999999999993, 0.0 }, | |
222 | { 1.0000000000000000, 0, 7.3000000000000007, 0.0 }, | |
223 | { 1.0000000000000000, 0, 7.4000000000000021, 0.0 }, | |
224 | { 1.0000000000000000, 0, 7.5000000000000000, 0.0 }, | |
225 | { 1.0000000000000000, 0, 7.6000000000000014, 0.0 }, | |
226 | { 1.0000000000000000, 0, 7.6999999999999993, 0.0 }, | |
227 | { 1.0000000000000000, 0, 7.8000000000000007, 0.0 }, | |
228 | { 1.0000000000000000, 0, 7.9000000000000021, 0.0 }, | |
229 | { 1.0000000000000000, 0, 8.0000000000000000, 0.0 }, | |
230 | { 1.0000000000000000, 0, 8.1000000000000014, 0.0 }, | |
231 | { 1.0000000000000000, 0, 8.1999999999999993, 0.0 }, | |
232 | { 1.0000000000000000, 0, 8.3000000000000007, 0.0 }, | |
233 | { 1.0000000000000000, 0, 8.4000000000000021, 0.0 }, | |
234 | { 1.0000000000000000, 0, 8.5000000000000000, 0.0 }, | |
235 | { 1.0000000000000000, 0, 8.6000000000000014, 0.0 }, | |
236 | { 1.0000000000000000, 0, 8.6999999999999993, 0.0 }, | |
237 | { 1.0000000000000000, 0, 8.8000000000000007, 0.0 }, | |
238 | { 1.0000000000000000, 0, 8.9000000000000021, 0.0 }, | |
239 | { 1.0000000000000000, 0, 9.0000000000000000, 0.0 }, | |
240 | { 1.0000000000000000, 0, 9.1000000000000014, 0.0 }, | |
241 | { 1.0000000000000000, 0, 9.2000000000000028, 0.0 }, | |
242 | { 1.0000000000000000, 0, 9.3000000000000007, 0.0 }, | |
243 | { 1.0000000000000000, 0, 9.4000000000000021, 0.0 }, | |
244 | { 1.0000000000000000, 0, 9.5000000000000000, 0.0 }, | |
245 | { 1.0000000000000000, 0, 9.6000000000000014, 0.0 }, | |
246 | { 1.0000000000000000, 0, 9.7000000000000028, 0.0 }, | |
247 | { 1.0000000000000000, 0, 9.8000000000000007, 0.0 }, | |
248 | { 1.0000000000000000, 0, 9.9000000000000021, 0.0 }, | |
249 | { 1.0000000000000000, 0, 10.000000000000000, 0.0 }, | |
2be75957 ESR |
250 | }; |
251 | const double toler001 = 2.5000000000000020e-13; | |
252 | ||
253 | // Test data for n=1. | |
b4688136 | 254 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
2be75957 | 255 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
b4688136 ESR |
256 | // mean(f - f_GSL): 0.0000000000000000 |
257 | // variance(f - f_GSL): 0.0000000000000000 | |
258 | // stddev(f - f_GSL): 0.0000000000000000 | |
2be75957 ESR |
259 | const testcase_hermite<double> |
260 | data002[201] = | |
261 | { | |
b4688136 ESR |
262 | { -20.000000000000000, 1, -10.000000000000000, 0.0 }, |
263 | { -19.800000000000001, 1, -9.9000000000000004, 0.0 }, | |
264 | { -19.600000000000001, 1, -9.8000000000000007, 0.0 }, | |
265 | { -19.399999999999999, 1, -9.6999999999999993, 0.0 }, | |
266 | { -19.199999999999999, 1, -9.5999999999999996, 0.0 }, | |
267 | { -19.000000000000000, 1, -9.5000000000000000, 0.0 }, | |
268 | { -18.800000000000001, 1, -9.4000000000000004, 0.0 }, | |
269 | { -18.600000000000001, 1, -9.3000000000000007, 0.0 }, | |
270 | { -18.399999999999999, 1, -9.1999999999999993, 0.0 }, | |
271 | { -18.199999999999999, 1, -9.0999999999999996, 0.0 }, | |
272 | { -18.000000000000000, 1, -9.0000000000000000, 0.0 }, | |
273 | { -17.800000000000001, 1, -8.9000000000000004, 0.0 }, | |
274 | { -17.600000000000001, 1, -8.8000000000000007, 0.0 }, | |
275 | { -17.399999999999999, 1, -8.6999999999999993, 0.0 }, | |
276 | { -17.199999999999999, 1, -8.5999999999999996, 0.0 }, | |
277 | { -17.000000000000000, 1, -8.5000000000000000, 0.0 }, | |
278 | { -16.800000000000001, 1, -8.4000000000000004, 0.0 }, | |
279 | { -16.600000000000001, 1, -8.3000000000000007, 0.0 }, | |
280 | { -16.399999999999999, 1, -8.1999999999999993, 0.0 }, | |
281 | { -16.199999999999999, 1, -8.0999999999999996, 0.0 }, | |
282 | { -16.000000000000000, 1, -8.0000000000000000, 0.0 }, | |
283 | { -15.800000000000001, 1, -7.9000000000000004, 0.0 }, | |
284 | { -15.600000000000000, 1, -7.7999999999999998, 0.0 }, | |
285 | { -15.399999999999999, 1, -7.6999999999999993, 0.0 }, | |
286 | { -15.199999999999999, 1, -7.5999999999999996, 0.0 }, | |
287 | { -15.000000000000000, 1, -7.5000000000000000, 0.0 }, | |
288 | { -14.800000000000001, 1, -7.4000000000000004, 0.0 }, | |
289 | { -14.600000000000000, 1, -7.2999999999999998, 0.0 }, | |
290 | { -14.399999999999999, 1, -7.1999999999999993, 0.0 }, | |
291 | { -14.199999999999999, 1, -7.0999999999999996, 0.0 }, | |
292 | { -14.000000000000000, 1, -7.0000000000000000, 0.0 }, | |
293 | { -13.800000000000001, 1, -6.9000000000000004, 0.0 }, | |
294 | { -13.600000000000000, 1, -6.7999999999999998, 0.0 }, | |
295 | { -13.399999999999999, 1, -6.6999999999999993, 0.0 }, | |
296 | { -13.199999999999999, 1, -6.5999999999999996, 0.0 }, | |
297 | { -13.000000000000000, 1, -6.5000000000000000, 0.0 }, | |
298 | { -12.800000000000001, 1, -6.4000000000000004, 0.0 }, | |
299 | { -12.600000000000000, 1, -6.2999999999999998, 0.0 }, | |
300 | { -12.399999999999999, 1, -6.1999999999999993, 0.0 }, | |
301 | { -12.199999999999999, 1, -6.0999999999999996, 0.0 }, | |
302 | { -12.000000000000000, 1, -6.0000000000000000, 0.0 }, | |
303 | { -11.799999999999999, 1, -5.8999999999999995, 0.0 }, | |
304 | { -11.600000000000000, 1, -5.7999999999999998, 0.0 }, | |
305 | { -11.400000000000000, 1, -5.7000000000000002, 0.0 }, | |
306 | { -11.199999999999999, 1, -5.5999999999999996, 0.0 }, | |
307 | { -11.000000000000000, 1, -5.5000000000000000, 0.0 }, | |
308 | { -10.799999999999999, 1, -5.3999999999999995, 0.0 }, | |
309 | { -10.600000000000000, 1, -5.2999999999999998, 0.0 }, | |
310 | { -10.399999999999999, 1, -5.1999999999999993, 0.0 }, | |
311 | { -10.199999999999999, 1, -5.0999999999999996, 0.0 }, | |
312 | { -10.000000000000000, 1, -5.0000000000000000, 0.0 }, | |
313 | { -9.7999999999999989, 1, -4.8999999999999995, 0.0 }, | |
314 | { -9.5999999999999996, 1, -4.7999999999999998, 0.0 }, | |
315 | { -9.3999999999999986, 1, -4.6999999999999993, 0.0 }, | |
316 | { -9.1999999999999993, 1, -4.5999999999999996, 0.0 }, | |
317 | { -9.0000000000000000, 1, -4.5000000000000000, 0.0 }, | |
318 | { -8.7999999999999989, 1, -4.3999999999999995, 0.0 }, | |
319 | { -8.5999999999999996, 1, -4.2999999999999998, 0.0 }, | |
320 | { -8.3999999999999986, 1, -4.1999999999999993, 0.0 }, | |
321 | { -8.1999999999999993, 1, -4.0999999999999996, 0.0 }, | |
322 | { -8.0000000000000000, 1, -4.0000000000000000, 0.0 }, | |
323 | { -7.7999999999999989, 1, -3.8999999999999995, 0.0 }, | |
324 | { -7.5999999999999996, 1, -3.7999999999999998, 0.0 }, | |
325 | { -7.3999999999999986, 1, -3.6999999999999993, 0.0 }, | |
326 | { -7.1999999999999993, 1, -3.5999999999999996, 0.0 }, | |
327 | { -7.0000000000000000, 1, -3.5000000000000000, 0.0 }, | |
328 | { -6.7999999999999989, 1, -3.3999999999999995, 0.0 }, | |
329 | { -6.5999999999999996, 1, -3.2999999999999998, 0.0 }, | |
330 | { -6.3999999999999986, 1, -3.1999999999999993, 0.0 }, | |
331 | { -6.1999999999999993, 1, -3.0999999999999996, 0.0 }, | |
332 | { -6.0000000000000000, 1, -3.0000000000000000, 0.0 }, | |
333 | { -5.7999999999999989, 1, -2.8999999999999995, 0.0 }, | |
334 | { -5.5999999999999996, 1, -2.7999999999999998, 0.0 }, | |
335 | { -5.3999999999999986, 1, -2.6999999999999993, 0.0 }, | |
336 | { -5.1999999999999993, 1, -2.5999999999999996, 0.0 }, | |
337 | { -5.0000000000000000, 1, -2.5000000000000000, 0.0 }, | |
338 | { -4.7999999999999989, 1, -2.3999999999999995, 0.0 }, | |
339 | { -4.5999999999999996, 1, -2.2999999999999998, 0.0 }, | |
340 | { -4.3999999999999986, 1, -2.1999999999999993, 0.0 }, | |
341 | { -4.1999999999999993, 1, -2.0999999999999996, 0.0 }, | |
342 | { -4.0000000000000000, 1, -2.0000000000000000, 0.0 }, | |
343 | { -3.8000000000000007, 1, -1.9000000000000004, 0.0 }, | |
344 | { -3.5999999999999979, 1, -1.7999999999999989, 0.0 }, | |
345 | { -3.3999999999999986, 1, -1.6999999999999993, 0.0 }, | |
346 | { -3.1999999999999993, 1, -1.5999999999999996, 0.0 }, | |
347 | { -3.0000000000000000, 1, -1.5000000000000000, 0.0 }, | |
348 | { -2.8000000000000007, 1, -1.4000000000000004, 0.0 }, | |
349 | { -2.5999999999999979, 1, -1.2999999999999989, 0.0 }, | |
350 | { -2.3999999999999986, 1, -1.1999999999999993, 0.0 }, | |
351 | { -2.1999999999999993, 1, -1.0999999999999996, 0.0 }, | |
352 | { -2.0000000000000000, 1, -1.0000000000000000, 0.0 }, | |
353 | { -1.8000000000000007, 1, -0.90000000000000036, 0.0 }, | |
354 | { -1.5999999999999979, 1, -0.79999999999999893, 0.0 }, | |
355 | { -1.3999999999999986, 1, -0.69999999999999929, 0.0 }, | |
356 | { -1.1999999999999993, 1, -0.59999999999999964, 0.0 }, | |
357 | { -1.0000000000000000, 1, -0.50000000000000000, 0.0 }, | |
358 | { -0.79999999999999716, 1, -0.39999999999999858, 0.0 }, | |
359 | { -0.59999999999999787, 1, -0.29999999999999893, 0.0 }, | |
360 | { -0.39999999999999858, 1, -0.19999999999999929, 0.0 }, | |
361 | { -0.19999999999999929, 1, -0.099999999999999645, 0.0 }, | |
362 | { 0.0000000000000000, 1, 0.0000000000000000, 0.0 }, | |
363 | { 0.20000000000000284, 1, 0.10000000000000142, 0.0 }, | |
364 | { 0.40000000000000213, 1, 0.20000000000000107, 0.0 }, | |
365 | { 0.60000000000000142, 1, 0.30000000000000071, 0.0 }, | |
366 | { 0.80000000000000071, 1, 0.40000000000000036, 0.0 }, | |
367 | { 1.0000000000000000, 1, 0.50000000000000000, 0.0 }, | |
368 | { 1.2000000000000028, 1, 0.60000000000000142, 0.0 }, | |
369 | { 1.4000000000000021, 1, 0.70000000000000107, 0.0 }, | |
370 | { 1.6000000000000014, 1, 0.80000000000000071, 0.0 }, | |
371 | { 1.8000000000000007, 1, 0.90000000000000036, 0.0 }, | |
372 | { 2.0000000000000000, 1, 1.0000000000000000, 0.0 }, | |
373 | { 2.2000000000000028, 1, 1.1000000000000014, 0.0 }, | |
374 | { 2.4000000000000021, 1, 1.2000000000000011, 0.0 }, | |
375 | { 2.6000000000000014, 1, 1.3000000000000007, 0.0 }, | |
376 | { 2.8000000000000007, 1, 1.4000000000000004, 0.0 }, | |
377 | { 3.0000000000000000, 1, 1.5000000000000000, 0.0 }, | |
378 | { 3.2000000000000028, 1, 1.6000000000000014, 0.0 }, | |
379 | { 3.4000000000000021, 1, 1.7000000000000011, 0.0 }, | |
380 | { 3.6000000000000014, 1, 1.8000000000000007, 0.0 }, | |
381 | { 3.8000000000000007, 1, 1.9000000000000004, 0.0 }, | |
382 | { 4.0000000000000000, 1, 2.0000000000000000, 0.0 }, | |
383 | { 4.2000000000000028, 1, 2.1000000000000014, 0.0 }, | |
384 | { 4.4000000000000021, 1, 2.2000000000000011, 0.0 }, | |
385 | { 4.6000000000000014, 1, 2.3000000000000007, 0.0 }, | |
386 | { 4.8000000000000007, 1, 2.4000000000000004, 0.0 }, | |
387 | { 5.0000000000000000, 1, 2.5000000000000000, 0.0 }, | |
388 | { 5.2000000000000028, 1, 2.6000000000000014, 0.0 }, | |
389 | { 5.4000000000000021, 1, 2.7000000000000011, 0.0 }, | |
390 | { 5.6000000000000014, 1, 2.8000000000000007, 0.0 }, | |
391 | { 5.8000000000000007, 1, 2.9000000000000004, 0.0 }, | |
392 | { 6.0000000000000000, 1, 3.0000000000000000, 0.0 }, | |
393 | { 6.2000000000000028, 1, 3.1000000000000014, 0.0 }, | |
394 | { 6.4000000000000021, 1, 3.2000000000000011, 0.0 }, | |
395 | { 6.6000000000000014, 1, 3.3000000000000007, 0.0 }, | |
396 | { 6.8000000000000007, 1, 3.4000000000000004, 0.0 }, | |
397 | { 7.0000000000000000, 1, 3.5000000000000000, 0.0 }, | |
398 | { 7.2000000000000028, 1, 3.6000000000000014, 0.0 }, | |
399 | { 7.4000000000000021, 1, 3.7000000000000011, 0.0 }, | |
400 | { 7.6000000000000014, 1, 3.8000000000000007, 0.0 }, | |
401 | { 7.8000000000000007, 1, 3.9000000000000004, 0.0 }, | |
402 | { 8.0000000000000000, 1, 4.0000000000000000, 0.0 }, | |
403 | { 8.2000000000000028, 1, 4.1000000000000014, 0.0 }, | |
404 | { 8.4000000000000021, 1, 4.2000000000000011, 0.0 }, | |
405 | { 8.6000000000000014, 1, 4.3000000000000007, 0.0 }, | |
406 | { 8.8000000000000007, 1, 4.4000000000000004, 0.0 }, | |
407 | { 9.0000000000000000, 1, 4.5000000000000000, 0.0 }, | |
408 | { 9.2000000000000028, 1, 4.6000000000000014, 0.0 }, | |
409 | { 9.4000000000000021, 1, 4.7000000000000011, 0.0 }, | |
410 | { 9.6000000000000014, 1, 4.8000000000000007, 0.0 }, | |
411 | { 9.8000000000000007, 1, 4.9000000000000004, 0.0 }, | |
412 | { 10.000000000000000, 1, 5.0000000000000000, 0.0 }, | |
413 | { 10.200000000000003, 1, 5.1000000000000014, 0.0 }, | |
414 | { 10.400000000000002, 1, 5.2000000000000011, 0.0 }, | |
415 | { 10.600000000000001, 1, 5.3000000000000007, 0.0 }, | |
416 | { 10.800000000000001, 1, 5.4000000000000004, 0.0 }, | |
417 | { 11.000000000000000, 1, 5.5000000000000000, 0.0 }, | |
418 | { 11.200000000000003, 1, 5.6000000000000014, 0.0 }, | |
419 | { 11.400000000000002, 1, 5.7000000000000011, 0.0 }, | |
420 | { 11.600000000000001, 1, 5.8000000000000007, 0.0 }, | |
421 | { 11.800000000000001, 1, 5.9000000000000004, 0.0 }, | |
422 | { 12.000000000000000, 1, 6.0000000000000000, 0.0 }, | |
423 | { 12.200000000000003, 1, 6.1000000000000014, 0.0 }, | |
424 | { 12.399999999999999, 1, 6.1999999999999993, 0.0 }, | |
425 | { 12.600000000000001, 1, 6.3000000000000007, 0.0 }, | |
426 | { 12.800000000000004, 1, 6.4000000000000021, 0.0 }, | |
427 | { 13.000000000000000, 1, 6.5000000000000000, 0.0 }, | |
428 | { 13.200000000000003, 1, 6.6000000000000014, 0.0 }, | |
429 | { 13.399999999999999, 1, 6.6999999999999993, 0.0 }, | |
430 | { 13.600000000000001, 1, 6.8000000000000007, 0.0 }, | |
431 | { 13.800000000000004, 1, 6.9000000000000021, 0.0 }, | |
432 | { 14.000000000000000, 1, 7.0000000000000000, 0.0 }, | |
433 | { 14.200000000000003, 1, 7.1000000000000014, 0.0 }, | |
434 | { 14.399999999999999, 1, 7.1999999999999993, 0.0 }, | |
435 | { 14.600000000000001, 1, 7.3000000000000007, 0.0 }, | |
436 | { 14.800000000000004, 1, 7.4000000000000021, 0.0 }, | |
437 | { 15.000000000000000, 1, 7.5000000000000000, 0.0 }, | |
438 | { 15.200000000000003, 1, 7.6000000000000014, 0.0 }, | |
439 | { 15.399999999999999, 1, 7.6999999999999993, 0.0 }, | |
440 | { 15.600000000000001, 1, 7.8000000000000007, 0.0 }, | |
441 | { 15.800000000000004, 1, 7.9000000000000021, 0.0 }, | |
442 | { 16.000000000000000, 1, 8.0000000000000000, 0.0 }, | |
443 | { 16.200000000000003, 1, 8.1000000000000014, 0.0 }, | |
444 | { 16.399999999999999, 1, 8.1999999999999993, 0.0 }, | |
445 | { 16.600000000000001, 1, 8.3000000000000007, 0.0 }, | |
446 | { 16.800000000000004, 1, 8.4000000000000021, 0.0 }, | |
447 | { 17.000000000000000, 1, 8.5000000000000000, 0.0 }, | |
448 | { 17.200000000000003, 1, 8.6000000000000014, 0.0 }, | |
449 | { 17.399999999999999, 1, 8.6999999999999993, 0.0 }, | |
450 | { 17.600000000000001, 1, 8.8000000000000007, 0.0 }, | |
451 | { 17.800000000000004, 1, 8.9000000000000021, 0.0 }, | |
452 | { 18.000000000000000, 1, 9.0000000000000000, 0.0 }, | |
453 | { 18.200000000000003, 1, 9.1000000000000014, 0.0 }, | |
454 | { 18.400000000000006, 1, 9.2000000000000028, 0.0 }, | |
455 | { 18.600000000000001, 1, 9.3000000000000007, 0.0 }, | |
456 | { 18.800000000000004, 1, 9.4000000000000021, 0.0 }, | |
457 | { 19.000000000000000, 1, 9.5000000000000000, 0.0 }, | |
458 | { 19.200000000000003, 1, 9.6000000000000014, 0.0 }, | |
459 | { 19.400000000000006, 1, 9.7000000000000028, 0.0 }, | |
460 | { 19.600000000000001, 1, 9.8000000000000007, 0.0 }, | |
461 | { 19.800000000000004, 1, 9.9000000000000021, 0.0 }, | |
462 | { 20.000000000000000, 1, 10.000000000000000, 0.0 }, | |
2be75957 ESR |
463 | }; |
464 | const double toler002 = 2.5000000000000020e-13; | |
465 | ||
466 | // Test data for n=2. | |
b4688136 | 467 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
2be75957 | 468 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
b4688136 ESR |
469 | // mean(f - f_GSL): 0.0000000000000000 |
470 | // variance(f - f_GSL): 0.0000000000000000 | |
471 | // stddev(f - f_GSL): 0.0000000000000000 | |
2be75957 ESR |
472 | const testcase_hermite<double> |
473 | data003[201] = | |
474 | { | |
b4688136 ESR |
475 | { 398.00000000000000, 2, -10.000000000000000, 0.0 }, |
476 | { 390.04000000000002, 2, -9.9000000000000004, 0.0 }, | |
477 | { 382.16000000000008, 2, -9.8000000000000007, 0.0 }, | |
478 | { 374.35999999999996, 2, -9.6999999999999993, 0.0 }, | |
479 | { 366.63999999999999, 2, -9.5999999999999996, 0.0 }, | |
480 | { 359.00000000000000, 2, -9.5000000000000000, 0.0 }, | |
481 | { 351.44000000000005, 2, -9.4000000000000004, 0.0 }, | |
482 | { 343.96000000000004, 2, -9.3000000000000007, 0.0 }, | |
483 | { 336.55999999999995, 2, -9.1999999999999993, 0.0 }, | |
484 | { 329.23999999999995, 2, -9.0999999999999996, 0.0 }, | |
485 | { 322.00000000000000, 2, -9.0000000000000000, 0.0 }, | |
486 | { 314.84000000000003, 2, -8.9000000000000004, 0.0 }, | |
487 | { 307.76000000000005, 2, -8.8000000000000007, 0.0 }, | |
488 | { 300.75999999999993, 2, -8.6999999999999993, 0.0 }, | |
489 | { 293.83999999999997, 2, -8.5999999999999996, 0.0 }, | |
490 | { 287.00000000000000, 2, -8.5000000000000000, 0.0 }, | |
491 | { 280.24000000000001, 2, -8.4000000000000004, 0.0 }, | |
492 | { 273.56000000000006, 2, -8.3000000000000007, 0.0 }, | |
493 | { 266.95999999999998, 2, -8.1999999999999993, 0.0 }, | |
494 | { 260.44000000000000, 2, -8.0999999999999996, 0.0 }, | |
495 | { 254.00000000000000, 2, -8.0000000000000000, 0.0 }, | |
496 | { 247.64000000000001, 2, -7.9000000000000004, 0.0 }, | |
497 | { 241.35999999999999, 2, -7.7999999999999998, 0.0 }, | |
498 | { 235.15999999999997, 2, -7.6999999999999993, 0.0 }, | |
499 | { 229.03999999999999, 2, -7.5999999999999996, 0.0 }, | |
500 | { 223.00000000000000, 2, -7.5000000000000000, 0.0 }, | |
501 | { 217.04000000000002, 2, -7.4000000000000004, 0.0 }, | |
502 | { 211.16000000000000, 2, -7.2999999999999998, 0.0 }, | |
503 | { 205.35999999999996, 2, -7.1999999999999993, 0.0 }, | |
504 | { 199.63999999999999, 2, -7.0999999999999996, 0.0 }, | |
505 | { 194.00000000000000, 2, -7.0000000000000000, 0.0 }, | |
506 | { 188.44000000000003, 2, -6.9000000000000004, 0.0 }, | |
507 | { 182.95999999999998, 2, -6.7999999999999998, 0.0 }, | |
508 | { 177.55999999999997, 2, -6.6999999999999993, 0.0 }, | |
509 | { 172.23999999999998, 2, -6.5999999999999996, 0.0 }, | |
510 | { 167.00000000000000, 2, -6.5000000000000000, 0.0 }, | |
511 | { 161.84000000000003, 2, -6.4000000000000004, 0.0 }, | |
512 | { 156.75999999999999, 2, -6.2999999999999998, 0.0 }, | |
513 | { 151.75999999999996, 2, -6.1999999999999993, 0.0 }, | |
514 | { 146.83999999999997, 2, -6.0999999999999996, 0.0 }, | |
515 | { 142.00000000000000, 2, -6.0000000000000000, 0.0 }, | |
516 | { 137.23999999999998, 2, -5.8999999999999995, 0.0 }, | |
517 | { 132.56000000000000, 2, -5.7999999999999998, 0.0 }, | |
518 | { 127.96000000000001, 2, -5.7000000000000002, 0.0 }, | |
519 | { 123.43999999999998, 2, -5.5999999999999996, 0.0 }, | |
520 | { 119.00000000000000, 2, -5.5000000000000000, 0.0 }, | |
521 | { 114.63999999999997, 2, -5.3999999999999995, 0.0 }, | |
522 | { 110.36000000000000, 2, -5.2999999999999998, 0.0 }, | |
523 | { 106.15999999999997, 2, -5.1999999999999993, 0.0 }, | |
524 | { 102.03999999999999, 2, -5.0999999999999996, 0.0 }, | |
525 | { 98.000000000000000, 2, -5.0000000000000000, 0.0 }, | |
526 | { 94.039999999999978, 2, -4.8999999999999995, 0.0 }, | |
527 | { 90.159999999999997, 2, -4.7999999999999998, 0.0 }, | |
528 | { 86.359999999999971, 2, -4.6999999999999993, 0.0 }, | |
529 | { 82.639999999999986, 2, -4.5999999999999996, 0.0 }, | |
530 | { 79.000000000000000, 2, -4.5000000000000000, 0.0 }, | |
531 | { 75.439999999999984, 2, -4.3999999999999995, 0.0 }, | |
532 | { 71.959999999999994, 2, -4.2999999999999998, 0.0 }, | |
533 | { 68.559999999999974, 2, -4.1999999999999993, 0.0 }, | |
534 | { 65.239999999999995, 2, -4.0999999999999996, 0.0 }, | |
535 | { 62.000000000000000, 2, -4.0000000000000000, 0.0 }, | |
536 | { 58.839999999999982, 2, -3.8999999999999995, 0.0 }, | |
537 | { 55.759999999999998, 2, -3.7999999999999998, 0.0 }, | |
538 | { 52.759999999999977, 2, -3.6999999999999993, 0.0 }, | |
539 | { 49.839999999999989, 2, -3.5999999999999996, 0.0 }, | |
540 | { 47.000000000000000, 2, -3.5000000000000000, 0.0 }, | |
541 | { 44.239999999999988, 2, -3.3999999999999995, 0.0 }, | |
542 | { 41.559999999999995, 2, -3.2999999999999998, 0.0 }, | |
543 | { 38.959999999999980, 2, -3.1999999999999993, 0.0 }, | |
544 | { 36.439999999999991, 2, -3.0999999999999996, 0.0 }, | |
545 | { 34.000000000000000, 2, -3.0000000000000000, 0.0 }, | |
546 | { 31.639999999999986, 2, -2.8999999999999995, 0.0 }, | |
547 | { 29.359999999999996, 2, -2.7999999999999998, 0.0 }, | |
548 | { 27.159999999999986, 2, -2.6999999999999993, 0.0 }, | |
549 | { 25.039999999999992, 2, -2.5999999999999996, 0.0 }, | |
550 | { 23.000000000000000, 2, -2.5000000000000000, 0.0 }, | |
551 | { 21.039999999999988, 2, -2.3999999999999995, 0.0 }, | |
552 | { 19.159999999999997, 2, -2.2999999999999998, 0.0 }, | |
553 | { 17.359999999999989, 2, -2.1999999999999993, 0.0 }, | |
554 | { 15.639999999999993, 2, -2.0999999999999996, 0.0 }, | |
555 | { 14.000000000000000, 2, -2.0000000000000000, 0.0 }, | |
556 | { 12.440000000000005, 2, -1.9000000000000004, 0.0 }, | |
557 | { 10.959999999999985, 2, -1.7999999999999989, 0.0 }, | |
558 | { 9.5599999999999898, 2, -1.6999999999999993, 0.0 }, | |
559 | { 8.2399999999999949, 2, -1.5999999999999996, 0.0 }, | |
560 | { 7.0000000000000000, 2, -1.5000000000000000, 0.0 }, | |
561 | { 5.8400000000000043, 2, -1.4000000000000004, 0.0 }, | |
562 | { 4.7599999999999891, 2, -1.2999999999999989, 0.0 }, | |
563 | { 3.7599999999999936, 2, -1.1999999999999993, 0.0 }, | |
564 | { 2.8399999999999972, 2, -1.0999999999999996, 0.0 }, | |
565 | { 2.0000000000000000, 2, -1.0000000000000000, 0.0 }, | |
566 | { 1.2400000000000024, 2, -0.90000000000000036, 0.0 }, | |
567 | { 0.55999999999999339, 2, -0.79999999999999893, 0.0 }, | |
568 | { -0.040000000000004032, 2, -0.69999999999999929, 0.0 }, | |
569 | { -0.56000000000000161, 2, -0.59999999999999964, 0.0 }, | |
570 | { -1.0000000000000000, 2, -0.50000000000000000, 0.0 }, | |
571 | { -1.3600000000000045, 2, -0.39999999999999858, 0.0 }, | |
572 | { -1.6400000000000026, 2, -0.29999999999999893, 0.0 }, | |
573 | { -1.8400000000000012, 2, -0.19999999999999929, 0.0 }, | |
574 | { -1.9600000000000002, 2, -0.099999999999999645, 0.0 }, | |
575 | { -2.0000000000000000, 2, 0.0000000000000000, 0.0 }, | |
576 | { -1.9599999999999989, 2, 0.10000000000000142, 0.0 }, | |
577 | { -1.8399999999999983, 2, 0.20000000000000107, 0.0 }, | |
578 | { -1.6399999999999983, 2, 0.30000000000000071, 0.0 }, | |
579 | { -1.3599999999999990, 2, 0.40000000000000036, 0.0 }, | |
580 | { -1.0000000000000000, 2, 0.50000000000000000, 0.0 }, | |
581 | { -0.55999999999999317, 2, 0.60000000000000142, 0.0 }, | |
582 | { -0.039999999999994040, 2, 0.70000000000000107, 0.0 }, | |
583 | { 0.56000000000000449, 2, 0.80000000000000071, 0.0 }, | |
584 | { 1.2400000000000024, 2, 0.90000000000000036, 0.0 }, | |
585 | { 2.0000000000000000, 2, 1.0000000000000000, 0.0 }, | |
586 | { 2.8400000000000123, 2, 1.1000000000000014, 0.0 }, | |
587 | { 3.7600000000000104, 2, 1.2000000000000011, 0.0 }, | |
588 | { 4.7600000000000078, 2, 1.3000000000000007, 0.0 }, | |
589 | { 5.8400000000000043, 2, 1.4000000000000004, 0.0 }, | |
590 | { 7.0000000000000000, 2, 1.5000000000000000, 0.0 }, | |
591 | { 8.2400000000000180, 2, 1.6000000000000014, 0.0 }, | |
592 | { 9.5600000000000147, 2, 1.7000000000000011, 0.0 }, | |
593 | { 10.960000000000010, 2, 1.8000000000000007, 0.0 }, | |
594 | { 12.440000000000005, 2, 1.9000000000000004, 0.0 }, | |
595 | { 14.000000000000000, 2, 2.0000000000000000, 0.0 }, | |
596 | { 15.640000000000025, 2, 2.1000000000000014, 0.0 }, | |
597 | { 17.360000000000017, 2, 2.2000000000000011, 0.0 }, | |
598 | { 19.160000000000014, 2, 2.3000000000000007, 0.0 }, | |
599 | { 21.040000000000006, 2, 2.4000000000000004, 0.0 }, | |
600 | { 23.000000000000000, 2, 2.5000000000000000, 0.0 }, | |
601 | { 25.040000000000031, 2, 2.6000000000000014, 0.0 }, | |
602 | { 27.160000000000021, 2, 2.7000000000000011, 0.0 }, | |
603 | { 29.360000000000017, 2, 2.8000000000000007, 0.0 }, | |
604 | { 31.640000000000008, 2, 2.9000000000000004, 0.0 }, | |
605 | { 34.000000000000000, 2, 3.0000000000000000, 0.0 }, | |
606 | { 36.440000000000033, 2, 3.1000000000000014, 0.0 }, | |
607 | { 38.960000000000029, 2, 3.2000000000000011, 0.0 }, | |
608 | { 41.560000000000016, 2, 3.3000000000000007, 0.0 }, | |
609 | { 44.240000000000009, 2, 3.4000000000000004, 0.0 }, | |
610 | { 47.000000000000000, 2, 3.5000000000000000, 0.0 }, | |
611 | { 49.840000000000039, 2, 3.6000000000000014, 0.0 }, | |
612 | { 52.760000000000034, 2, 3.7000000000000011, 0.0 }, | |
613 | { 55.760000000000019, 2, 3.8000000000000007, 0.0 }, | |
614 | { 58.840000000000011, 2, 3.9000000000000004, 0.0 }, | |
615 | { 62.000000000000000, 2, 4.0000000000000000, 0.0 }, | |
616 | { 65.240000000000052, 2, 4.1000000000000014, 0.0 }, | |
617 | { 68.560000000000031, 2, 4.2000000000000011, 0.0 }, | |
618 | { 71.960000000000022, 2, 4.3000000000000007, 0.0 }, | |
619 | { 75.440000000000012, 2, 4.4000000000000004, 0.0 }, | |
620 | { 79.000000000000000, 2, 4.5000000000000000, 0.0 }, | |
621 | { 82.640000000000057, 2, 4.6000000000000014, 0.0 }, | |
622 | { 86.360000000000042, 2, 4.7000000000000011, 0.0 }, | |
623 | { 90.160000000000025, 2, 4.8000000000000007, 0.0 }, | |
624 | { 94.040000000000020, 2, 4.9000000000000004, 0.0 }, | |
625 | { 98.000000000000000, 2, 5.0000000000000000, 0.0 }, | |
626 | { 102.04000000000006, 2, 5.1000000000000014, 0.0 }, | |
627 | { 106.16000000000004, 2, 5.2000000000000011, 0.0 }, | |
628 | { 110.36000000000003, 2, 5.3000000000000007, 0.0 }, | |
629 | { 114.64000000000001, 2, 5.4000000000000004, 0.0 }, | |
630 | { 119.00000000000000, 2, 5.5000000000000000, 0.0 }, | |
631 | { 123.44000000000007, 2, 5.6000000000000014, 0.0 }, | |
632 | { 127.96000000000004, 2, 5.7000000000000011, 0.0 }, | |
633 | { 132.56000000000003, 2, 5.8000000000000007, 0.0 }, | |
634 | { 137.24000000000001, 2, 5.9000000000000004, 0.0 }, | |
635 | { 142.00000000000000, 2, 6.0000000000000000, 0.0 }, | |
636 | { 146.84000000000006, 2, 6.1000000000000014, 0.0 }, | |
637 | { 151.75999999999996, 2, 6.1999999999999993, 0.0 }, | |
638 | { 156.76000000000005, 2, 6.3000000000000007, 0.0 }, | |
639 | { 161.84000000000012, 2, 6.4000000000000021, 0.0 }, | |
640 | { 167.00000000000000, 2, 6.5000000000000000, 0.0 }, | |
641 | { 172.24000000000007, 2, 6.6000000000000014, 0.0 }, | |
642 | { 177.55999999999997, 2, 6.6999999999999993, 0.0 }, | |
643 | { 182.96000000000004, 2, 6.8000000000000007, 0.0 }, | |
644 | { 188.44000000000011, 2, 6.9000000000000021, 0.0 }, | |
645 | { 194.00000000000000, 2, 7.0000000000000000, 0.0 }, | |
646 | { 199.64000000000007, 2, 7.1000000000000014, 0.0 }, | |
647 | { 205.35999999999996, 2, 7.1999999999999993, 0.0 }, | |
648 | { 211.16000000000005, 2, 7.3000000000000007, 0.0 }, | |
649 | { 217.04000000000013, 2, 7.4000000000000021, 0.0 }, | |
650 | { 223.00000000000000, 2, 7.5000000000000000, 0.0 }, | |
651 | { 229.04000000000008, 2, 7.6000000000000014, 0.0 }, | |
652 | { 235.15999999999997, 2, 7.6999999999999993, 0.0 }, | |
653 | { 241.36000000000004, 2, 7.8000000000000007, 0.0 }, | |
654 | { 247.64000000000013, 2, 7.9000000000000021, 0.0 }, | |
655 | { 254.00000000000000, 2, 8.0000000000000000, 0.0 }, | |
656 | { 260.44000000000011, 2, 8.1000000000000014, 0.0 }, | |
657 | { 266.95999999999998, 2, 8.1999999999999993, 0.0 }, | |
658 | { 273.56000000000006, 2, 8.3000000000000007, 0.0 }, | |
659 | { 280.24000000000012, 2, 8.4000000000000021, 0.0 }, | |
660 | { 287.00000000000000, 2, 8.5000000000000000, 0.0 }, | |
661 | { 293.84000000000009, 2, 8.6000000000000014, 0.0 }, | |
662 | { 300.75999999999993, 2, 8.6999999999999993, 0.0 }, | |
663 | { 307.76000000000005, 2, 8.8000000000000007, 0.0 }, | |
664 | { 314.84000000000015, 2, 8.9000000000000021, 0.0 }, | |
665 | { 322.00000000000000, 2, 9.0000000000000000, 0.0 }, | |
666 | { 329.24000000000012, 2, 9.1000000000000014, 0.0 }, | |
667 | { 336.56000000000023, 2, 9.2000000000000028, 0.0 }, | |
668 | { 343.96000000000004, 2, 9.3000000000000007, 0.0 }, | |
669 | { 351.44000000000017, 2, 9.4000000000000021, 0.0 }, | |
670 | { 359.00000000000000, 2, 9.5000000000000000, 0.0 }, | |
671 | { 366.64000000000010, 2, 9.6000000000000014, 0.0 }, | |
672 | { 374.36000000000024, 2, 9.7000000000000028, 0.0 }, | |
673 | { 382.16000000000008, 2, 9.8000000000000007, 0.0 }, | |
674 | { 390.04000000000019, 2, 9.9000000000000021, 0.0 }, | |
675 | { 398.00000000000000, 2, 10.000000000000000, 0.0 }, | |
2be75957 ESR |
676 | }; |
677 | const double toler003 = 2.5000000000000020e-13; | |
678 | ||
679 | // Test data for n=5. | |
b4688136 | 680 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
2be75957 | 681 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
b4688136 ESR |
682 | // mean(f - f_GSL): 0.0000000000000000 |
683 | // variance(f - f_GSL): 0.0000000000000000 | |
684 | // stddev(f - f_GSL): 0.0000000000000000 | |
2be75957 ESR |
685 | const testcase_hermite<double> |
686 | data004[201] = | |
687 | { | |
b4688136 ESR |
688 | { -3041200.0000000000, 5, -10.000000000000000, 0.0 }, |
689 | { -2889108.3196800007, 5, -9.9000000000000004, 0.0 }, | |
690 | { -2743131.8297600015, 5, -9.8000000000000007, 0.0 }, | |
691 | { -2603085.2022399991, 5, -9.6999999999999993, 0.0 }, | |
692 | { -2468786.8723199992, 5, -9.5999999999999996, 0.0 }, | |
693 | { -2340059.0000000000, 5, -9.5000000000000000, 0.0 }, | |
694 | { -2216727.4316800009, 5, -9.4000000000000004, 0.0 }, | |
695 | { -2098621.6617600010, 5, -9.3000000000000007, 0.0 }, | |
696 | { -1985574.7942399993, 5, -9.1999999999999993, 0.0 }, | |
697 | { -1877423.5043199996, 5, -9.0999999999999996, 0.0 }, | |
698 | { -1774008.0000000000, 5, -9.0000000000000000, 0.0 }, | |
699 | { -1675171.9836800008, 5, -8.9000000000000004, 0.0 }, | |
700 | { -1580762.6137600006, 5, -8.8000000000000007, 0.0 }, | |
701 | { -1490630.4662399990, 5, -8.6999999999999993, 0.0 }, | |
702 | { -1404629.4963199999, 5, -8.5999999999999996, 0.0 }, | |
703 | { -1322617.0000000000, 5, -8.5000000000000000, 0.0 }, | |
704 | { -1244453.5756800002, 5, -8.4000000000000004, 0.0 }, | |
705 | { -1170003.0857600006, 5, -8.3000000000000007, 0.0 }, | |
706 | { -1099132.6182399995, 5, -8.1999999999999993, 0.0 }, | |
707 | { -1031712.4483199996, 5, -8.0999999999999996, 0.0 }, | |
708 | { -967616.00000000000, 5, -8.0000000000000000, 0.0 }, | |
709 | { -906719.80768000009, 5, -7.9000000000000004, 0.0 }, | |
710 | { -848903.47775999992, 5, -7.7999999999999998, 0.0 }, | |
711 | { -794049.65023999964, 5, -7.6999999999999993, 0.0 }, | |
712 | { -742043.96031999995, 5, -7.5999999999999996, 0.0 }, | |
713 | { -692775.00000000000, 5, -7.5000000000000000, 0.0 }, | |
714 | { -646134.27968000027, 5, -7.4000000000000004, 0.0 }, | |
715 | { -602016.18975999986, 5, -7.2999999999999998, 0.0 }, | |
716 | { -560317.96223999979, 5, -7.1999999999999993, 0.0 }, | |
717 | { -520939.63231999992, 5, -7.0999999999999996, 0.0 }, | |
718 | { -483784.00000000000, 5, -7.0000000000000000, 0.0 }, | |
719 | { -448756.59168000019, 5, -6.9000000000000004, 0.0 }, | |
720 | { -415765.62176000001, 5, -6.7999999999999998, 0.0 }, | |
721 | { -384721.95423999976, 5, -6.6999999999999993, 0.0 }, | |
722 | { -355539.06431999995, 5, -6.5999999999999996, 0.0 }, | |
723 | { -328133.00000000000, 5, -6.5000000000000000, 0.0 }, | |
724 | { -302422.34368000011, 5, -6.4000000000000004, 0.0 }, | |
725 | { -278328.17375999998, 5, -6.2999999999999998, 0.0 }, | |
726 | { -255774.02623999983, 5, -6.1999999999999993, 0.0 }, | |
727 | { -234685.85631999990, 5, -6.0999999999999996, 0.0 }, | |
728 | { -214992.00000000000, 5, -6.0000000000000000, 0.0 }, | |
729 | { -196623.13567999989, 5, -5.8999999999999995, 0.0 }, | |
730 | { -179512.24575999999, 5, -5.7999999999999998, 0.0 }, | |
731 | { -163594.57824000003, 5, -5.7000000000000002, 0.0 }, | |
732 | { -148807.60831999997, 5, -5.5999999999999996, 0.0 }, | |
733 | { -135091.00000000000, 5, -5.5000000000000000, 0.0 }, | |
734 | { -122386.56767999992, 5, -5.3999999999999995, 0.0 }, | |
735 | { -110638.23776000000, 5, -5.2999999999999998, 0.0 }, | |
736 | { -99792.010239999945, 5, -5.1999999999999993, 0.0 }, | |
737 | { -89795.920319999976, 5, -5.0999999999999996, 0.0 }, | |
738 | { -80600.000000000000, 5, -5.0000000000000000, 0.0 }, | |
739 | { -72156.239679999941, 5, -4.8999999999999995, 0.0 }, | |
740 | { -64418.549759999994, 5, -4.7999999999999998, 0.0 }, | |
741 | { -57342.722239999952, 5, -4.6999999999999993, 0.0 }, | |
742 | { -50886.392319999970, 5, -4.5999999999999996, 0.0 }, | |
743 | { -45009.000000000000, 5, -4.5000000000000000, 0.0 }, | |
744 | { -39671.751679999965, 5, -4.3999999999999995, 0.0 }, | |
745 | { -34837.581759999986, 5, -4.2999999999999998, 0.0 }, | |
746 | { -30471.114239999963, 5, -4.1999999999999993, 0.0 }, | |
747 | { -26538.624319999992, 5, -4.0999999999999996, 0.0 }, | |
748 | { -23008.000000000000, 5, -4.0000000000000000, 0.0 }, | |
749 | { -19848.703679999981, 5, -3.8999999999999995, 0.0 }, | |
750 | { -17031.733759999996, 5, -3.7999999999999998, 0.0 }, | |
751 | { -14529.586239999979, 5, -3.6999999999999993, 0.0 }, | |
752 | { -12316.216319999992, 5, -3.5999999999999996, 0.0 }, | |
753 | { -10367.000000000000, 5, -3.5000000000000000, 0.0 }, | |
754 | { -8658.6956799999934, 5, -3.3999999999999995, 0.0 }, | |
755 | { -7169.4057599999960, 5, -3.2999999999999998, 0.0 }, | |
756 | { -5878.5382399999908, 5, -3.1999999999999993, 0.0 }, | |
757 | { -4766.7683199999965, 5, -3.0999999999999996, 0.0 }, | |
758 | { -3816.0000000000000, 5, -3.0000000000000000, 0.0 }, | |
759 | { -3009.3276799999958, 5, -2.8999999999999995, 0.0 }, | |
760 | { -2330.9977599999988, 5, -2.7999999999999998, 0.0 }, | |
761 | { -1766.3702399999963, 5, -2.6999999999999993, 0.0 }, | |
762 | { -1301.8803199999984, 5, -2.5999999999999996, 0.0 }, | |
763 | { -925.00000000000000, 5, -2.5000000000000000, 0.0 }, | |
764 | { -624.19967999999858, 5, -2.3999999999999995, 0.0 }, | |
765 | { -388.90975999999978, 5, -2.2999999999999998, 0.0 }, | |
766 | { -209.48223999999891, 5, -2.1999999999999993, 0.0 }, | |
767 | { -77.152319999999520, 5, -2.0999999999999996, 0.0 }, | |
768 | { 16.000000000000000, 5, -2.0000000000000000, 0.0 }, | |
769 | { 77.088319999999840, 5, -1.9000000000000004, 0.0 }, | |
770 | { 112.45824000000026, 5, -1.7999999999999989, 0.0 }, | |
771 | { 127.72576000000002, 5, -1.6999999999999993, 0.0 }, | |
772 | { 127.81567999999996, 5, -1.5999999999999996, 0.0 }, | |
773 | { 117.00000000000000, 5, -1.5000000000000000, 0.0 }, | |
774 | { 98.936320000000080, 5, -1.4000000000000004, 0.0 }, | |
775 | { 76.706239999999752, 5, -1.2999999999999989, 0.0 }, | |
776 | { 52.853759999999838, 5, -1.1999999999999993, 0.0 }, | |
777 | { 29.423679999999933, 5, -1.0999999999999996, 0.0 }, | |
778 | { 8.0000000000000000, 5, -1.0000000000000000, 0.0 }, | |
779 | { -10.255679999999948, 5, -0.90000000000000036, 0.0 }, | |
780 | { -24.565760000000125, 5, -0.79999999999999893, 0.0 }, | |
781 | { -34.498240000000052, 5, -0.69999999999999929, 0.0 }, | |
782 | { -39.928320000000006, 5, -0.59999999999999964, 0.0 }, | |
783 | { -41.000000000000000, 5, -0.50000000000000000, 0.0 }, | |
784 | { -38.087679999999935, 5, -0.39999999999999858, 0.0 }, | |
785 | { -31.757759999999919, 5, -0.29999999999999893, 0.0 }, | |
786 | { -22.730239999999931, 5, -0.19999999999999929, 0.0 }, | |
787 | { -11.840319999999959, 5, -0.099999999999999645, 0.0 }, | |
788 | { 0.0000000000000000, 5, 0.0000000000000000, 0.0 }, | |
789 | { 11.840320000000162, 5, 0.10000000000000142, 0.0 }, | |
790 | { 22.730240000000109, 5, 0.20000000000000107, 0.0 }, | |
791 | { 31.757760000000054, 5, 0.30000000000000071, 0.0 }, | |
792 | { 38.087680000000020, 5, 0.40000000000000036, 0.0 }, | |
793 | { 41.000000000000000, 5, 0.50000000000000000, 0.0 }, | |
794 | { 39.928319999999957, 5, 0.60000000000000142, 0.0 }, | |
795 | { 34.498239999999925, 5, 0.70000000000000107, 0.0 }, | |
796 | { 24.565759999999916, 5, 0.80000000000000071, 0.0 }, | |
797 | { 10.255679999999948, 5, 0.90000000000000036, 0.0 }, | |
798 | { -8.0000000000000000, 5, 1.0000000000000000, 0.0 }, | |
799 | { -29.423680000000317, 5, 1.1000000000000014, 0.0 }, | |
800 | { -52.853760000000264, 5, 1.2000000000000011, 0.0 }, | |
801 | { -76.706240000000179, 5, 1.3000000000000007, 0.0 }, | |
802 | { -98.936320000000080, 5, 1.4000000000000004, 0.0 }, | |
803 | { -117.00000000000000, 5, 1.5000000000000000, 0.0 }, | |
804 | { -127.81568000000010, 5, 1.6000000000000014, 0.0 }, | |
805 | { -127.72575999999992, 5, 1.7000000000000011, 0.0 }, | |
806 | { -112.45823999999980, 5, 1.8000000000000007, 0.0 }, | |
807 | { -77.088319999999840, 5, 1.9000000000000004, 0.0 }, | |
808 | { -16.000000000000000, 5, 2.0000000000000000, 0.0 }, | |
809 | { 77.152320000001623, 5, 2.1000000000000014, 0.0 }, | |
810 | { 209.48224000000164, 5, 2.2000000000000011, 0.0 }, | |
811 | { 388.90976000000148, 5, 2.3000000000000007, 0.0 }, | |
812 | { 624.19968000000074, 5, 2.4000000000000004, 0.0 }, | |
813 | { 925.00000000000000, 5, 2.5000000000000000, 0.0 }, | |
814 | { 1301.8803200000059, 5, 2.6000000000000014, 0.0 }, | |
815 | { 1766.3702400000057, 5, 2.7000000000000011, 0.0 }, | |
816 | { 2330.9977600000047, 5, 2.8000000000000007, 0.0 }, | |
817 | { 3009.3276800000026, 5, 2.9000000000000004, 0.0 }, | |
818 | { 3816.0000000000000, 5, 3.0000000000000000, 0.0 }, | |
819 | { 4766.7683200000147, 5, 3.1000000000000014, 0.0 }, | |
820 | { 5878.5382400000126, 5, 3.2000000000000011, 0.0 }, | |
821 | { 7169.4057600000087, 5, 3.3000000000000007, 0.0 }, | |
822 | { 8658.6956800000080, 5, 3.4000000000000004, 0.0 }, | |
823 | { 10367.000000000000, 5, 3.5000000000000000, 0.0 }, | |
824 | { 12316.216320000027, 5, 3.6000000000000014, 0.0 }, | |
825 | { 14529.586240000028, 5, 3.7000000000000011, 0.0 }, | |
826 | { 17031.733760000021, 5, 3.8000000000000007, 0.0 }, | |
827 | { 19848.703680000013, 5, 3.9000000000000004, 0.0 }, | |
828 | { 23008.000000000000, 5, 4.0000000000000000, 0.0 }, | |
829 | { 26538.624320000057, 5, 4.1000000000000014, 0.0 }, | |
830 | { 30471.114240000043, 5, 4.2000000000000011, 0.0 }, | |
831 | { 34837.581760000037, 5, 4.3000000000000007, 0.0 }, | |
832 | { 39671.751680000008, 5, 4.4000000000000004, 0.0 }, | |
833 | { 45009.000000000000, 5, 4.5000000000000000, 0.0 }, | |
834 | { 50886.392320000086, 5, 4.6000000000000014, 0.0 }, | |
835 | { 57342.722240000076, 5, 4.7000000000000011, 0.0 }, | |
836 | { 64418.549760000053, 5, 4.8000000000000007, 0.0 }, | |
837 | { 72156.239680000028, 5, 4.9000000000000004, 0.0 }, | |
838 | { 80600.000000000000, 5, 5.0000000000000000, 0.0 }, | |
839 | { 89795.920320000136, 5, 5.1000000000000014, 0.0 }, | |
840 | { 99792.010240000105, 5, 5.2000000000000011, 0.0 }, | |
841 | { 110638.23776000006, 5, 5.3000000000000007, 0.0 }, | |
842 | { 122386.56768000004, 5, 5.4000000000000004, 0.0 }, | |
843 | { 135091.00000000000, 5, 5.5000000000000000, 0.0 }, | |
844 | { 148807.60832000020, 5, 5.6000000000000014, 0.0 }, | |
845 | { 163594.57824000015, 5, 5.7000000000000011, 0.0 }, | |
846 | { 179512.24576000011, 5, 5.8000000000000007, 0.0 }, | |
847 | { 196623.13568000006, 5, 5.9000000000000004, 0.0 }, | |
848 | { 214992.00000000000, 5, 6.0000000000000000, 0.0 }, | |
849 | { 234685.85632000031, 5, 6.1000000000000014, 0.0 }, | |
850 | { 255774.02623999983, 5, 6.1999999999999993, 0.0 }, | |
851 | { 278328.17376000021, 5, 6.3000000000000007, 0.0 }, | |
852 | { 302422.34368000063, 5, 6.4000000000000021, 0.0 }, | |
853 | { 328133.00000000000, 5, 6.5000000000000000, 0.0 }, | |
854 | { 355539.06432000035, 5, 6.6000000000000014, 0.0 }, | |
855 | { 384721.95423999976, 5, 6.6999999999999993, 0.0 }, | |
856 | { 415765.62176000018, 5, 6.8000000000000007, 0.0 }, | |
857 | { 448756.59168000077, 5, 6.9000000000000021, 0.0 }, | |
858 | { 483784.00000000000, 5, 7.0000000000000000, 0.0 }, | |
859 | { 520939.63232000044, 5, 7.1000000000000014, 0.0 }, | |
860 | { 560317.96223999979, 5, 7.1999999999999993, 0.0 }, | |
861 | { 602016.18976000033, 5, 7.3000000000000007, 0.0 }, | |
862 | { 646134.27968000097, 5, 7.4000000000000021, 0.0 }, | |
863 | { 692775.00000000000, 5, 7.5000000000000000, 0.0 }, | |
864 | { 742043.96032000054, 5, 7.6000000000000014, 0.0 }, | |
865 | { 794049.65023999964, 5, 7.6999999999999993, 0.0 }, | |
866 | { 848903.47776000027, 5, 7.8000000000000007, 0.0 }, | |
867 | { 906719.80768000125, 5, 7.9000000000000021, 0.0 }, | |
868 | { 967616.00000000000, 5, 8.0000000000000000, 0.0 }, | |
869 | { 1031712.4483200011, 5, 8.1000000000000014, 0.0 }, | |
870 | { 1099132.6182399995, 5, 8.1999999999999993, 0.0 }, | |
871 | { 1170003.0857600006, 5, 8.3000000000000007, 0.0 }, | |
872 | { 1244453.5756800014, 5, 8.4000000000000021, 0.0 }, | |
873 | { 1322617.0000000000, 5, 8.5000000000000000, 0.0 }, | |
874 | { 1404629.4963200013, 5, 8.6000000000000014, 0.0 }, | |
875 | { 1490630.4662399990, 5, 8.6999999999999993, 0.0 }, | |
876 | { 1580762.6137600006, 5, 8.8000000000000007, 0.0 }, | |
877 | { 1675171.9836800022, 5, 8.9000000000000021, 0.0 }, | |
878 | { 1774008.0000000000, 5, 9.0000000000000000, 0.0 }, | |
879 | { 1877423.5043200015, 5, 9.1000000000000014, 0.0 }, | |
880 | { 1985574.7942400032, 5, 9.2000000000000028, 0.0 }, | |
881 | { 2098621.6617600010, 5, 9.3000000000000007, 0.0 }, | |
882 | { 2216727.4316800022, 5, 9.4000000000000021, 0.0 }, | |
883 | { 2340059.0000000000, 5, 9.5000000000000000, 0.0 }, | |
884 | { 2468786.8723200019, 5, 9.6000000000000014, 0.0 }, | |
885 | { 2603085.2022400037, 5, 9.7000000000000028, 0.0 }, | |
886 | { 2743131.8297600015, 5, 9.8000000000000007, 0.0 }, | |
887 | { 2889108.3196800039, 5, 9.9000000000000021, 0.0 }, | |
888 | { 3041200.0000000000, 5, 10.000000000000000, 0.0 }, | |
2be75957 ESR |
889 | }; |
890 | const double toler004 = 2.5000000000000020e-13; | |
891 | ||
892 | // Test data for n=10. | |
b4688136 | 893 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
2be75957 | 894 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
b4688136 ESR |
895 | // mean(f - f_GSL): 0.0000000000000000 |
896 | // variance(f - f_GSL): 0.0000000000000000 | |
897 | // stddev(f - f_GSL): 0.0000000000000000 | |
2be75957 ESR |
898 | const testcase_hermite<double> |
899 | data005[201] = | |
900 | { | |
b4688136 ESR |
901 | { 8093278209760.0000, 10, -10.000000000000000, 0.0 }, |
902 | { 7282867075495.3066, 10, -9.9000000000000004, 0.0 }, | |
903 | { 6545846221520.6768, 10, -9.8000000000000007, 0.0 }, | |
904 | { 5876279006180.6377, 10, -9.6999999999999993, 0.0 }, | |
905 | { 5268651052510.4668, 10, -9.5999999999999996, 0.0 }, | |
906 | { 4717844376391.0000, 10, -9.5000000000000000, 0.0 }, | |
907 | { 4219112842239.1147, 10, -9.4000000000000004, 0.0 }, | |
908 | { 3768058891466.0469, 10, -9.3000000000000007, 0.0 }, | |
909 | { 3360611490639.0889, 10, -9.1999999999999993, 0.0 }, | |
910 | { 2993005247949.7607, 10, -9.0999999999999996, 0.0 }, | |
911 | { 2661760648224.0000, 10, -9.0000000000000000, 0.0 }, | |
912 | { 2363665358307.8496, 10, -8.9000000000000004, 0.0 }, | |
913 | { 2095756556225.3428, 10, -8.8000000000000007, 0.0 }, | |
914 | { 1855304239034.7983, 10, -8.6999999999999993, 0.0 }, | |
915 | { 1639795465805.4746, 10, -8.5999999999999996, 0.0 }, | |
916 | { 1446919493599.0000, 10, -8.5000000000000000, 0.0 }, | |
917 | { 1274553765769.7463, 10, -8.4000000000000004, 0.0 }, | |
918 | { 1120750713295.2778, 10, -8.3000000000000007, 0.0 }, | |
919 | { 983725331213.07190, 10, -8.1999999999999993, 0.0 }, | |
920 | { 861843493572.90051, 10, -8.0999999999999996, 0.0 }, | |
921 | { 753610971616.00000, 10, -8.0000000000000000, 0.0 }, | |
922 | { 657663121163.02454, 10, -7.9000000000000004, 0.0 }, | |
923 | { 572755206432.81335, 10, -7.7999999999999998, 0.0 }, | |
924 | { 497753328723.87476, 10, -7.6999999999999993, 0.0 }, | |
925 | { 431625929570.40063, 10, -7.5999999999999996, 0.0 }, | |
926 | { 373435839135.00000, 10, -7.5000000000000000, 0.0 }, | |
927 | { 322332841721.55731, 10, -7.4000000000000004, 0.0 }, | |
928 | { 277546731384.01782, 10, -7.2999999999999998, 0.0 }, | |
929 | { 238380831670.89960, 10, -7.1999999999999993, 0.0 }, | |
930 | { 204205954581.24731, 10, -7.0999999999999996, 0.0 }, | |
931 | { 174454774816.00000, 10, -7.0000000000000000, 0.0 }, | |
932 | { 148616596389.67230, 10, -6.9000000000000004, 0.0 }, | |
933 | { 126232489621.23923, 10, -6.7999999999999998, 0.0 }, | |
934 | { 106890777450.54652, 10, -6.6999999999999993, 0.0 }, | |
935 | { 90222850927.787979, 10, -6.5999999999999996, 0.0 }, | |
936 | { 75899294599.000000, 10, -6.5000000000000000, 0.0 }, | |
937 | { 63626303360.468109, 10, -6.4000000000000004, 0.0 }, | |
938 | { 53142373179.806053, 10, -6.2999999999999998, 0.0 }, | |
939 | { 44215248881.625443, 10, -6.1999999999999993, 0.0 }, | |
940 | { 36639112971.527679, 10, -6.0999999999999996, 0.0 }, | |
941 | { 30232000224.000000, 10, -6.0000000000000000, 0.0 }, | |
942 | { 24833423488.050575, 10, -5.8999999999999995, 0.0 }, | |
943 | { 20302196869.444584, 10, -5.7999999999999998, 0.0 }, | |
944 | { 16514443130.579359, 10, -5.7000000000000002, 0.0 }, | |
945 | { 13361772808.732477, 10, -5.5999999999999996, 0.0 }, | |
946 | { 10749623191.000000, 10, -5.5000000000000000, 0.0 }, | |
947 | { 8595745900.0898018, 10, -5.3999999999999995, 0.0 }, | |
948 | { 6828832439.6160822, 10, -5.2999999999999998, 0.0 }, | |
949 | { 5387267621.0258913, 10, -5.1999999999999993, 0.0 }, | |
950 | { 4218001347.1524582, 10, -5.0999999999999996, 0.0 }, | |
951 | { 3275529760.0000000, 10, -5.0000000000000000, 0.0 }, | |
952 | { 2520977273.0966735, 10, -4.8999999999999995, 0.0 }, | |
953 | { 1921271501.9744270, 10, -4.7999999999999998, 0.0 }, | |
954 | { 1448403580.4203794, 10, -4.6999999999999993, 0.0 }, | |
955 | { 1078766805.4651456, 10, -4.5999999999999996, 0.0 }, | |
956 | { 792566991.00000000, 10, -4.5000000000000000, 0.0 }, | |
957 | { 573298328.81993365, 10, -4.3999999999999995, 0.0 }, | |
958 | { 407278957.14375639, 10, -4.2999999999999998, 0.0 }, | |
959 | { 283240820.63788199, 10, -4.1999999999999993, 0.0 }, | |
960 | { 191968773.03860721, 10, -4.0999999999999996, 0.0 }, | |
961 | { 125984224.00000000, 10, -4.0000000000000000, 0.0 }, | |
962 | { 79268966.162877351, 10, -3.8999999999999995, 0.0 }, | |
963 | { 47025137.016035721, 10, -3.7999999999999998, 0.0 }, | |
964 | { 25467573.275709212, 10, -3.6999999999999993, 0.0 }, | |
965 | { 11645103.614666298, 10, -3.5999999999999996, 0.0 }, | |
966 | { 3287599.0000000000, 10, -3.5000000000000000, 0.0 }, | |
967 | { -1324140.9798373580, 10, -3.3999999999999995, 0.0 }, | |
968 | { -3468342.2313268245, 10, -3.2999999999999998, 0.0 }, | |
969 | { -4074495.5241857003, 10, -3.1999999999999993, 0.0 }, | |
970 | { -3800107.4878923763, 10, -3.0999999999999996, 0.0 }, | |
971 | { -3093984.0000000000, 10, -3.0000000000000000, 0.0 }, | |
972 | { -2247873.5653938125, 10, -2.8999999999999995, 0.0 }, | |
973 | { -1438117.1978829810, 10, -2.7999999999999998, 0.0 }, | |
974 | { -758781.93281033845, 10, -2.6999999999999993, 0.0 }, | |
975 | { -247597.05012469599, 10, -2.5999999999999996, 0.0 }, | |
976 | { 94135.000000000000, 10, -2.5000000000000000, 0.0 }, | |
977 | { 286617.47398410313, 10, -2.3999999999999995, 0.0 }, | |
978 | { 360718.79745525768, 10, -2.2999999999999998, 0.0 }, | |
979 | { 350419.82826741732, 10, -2.1999999999999993, 0.0 }, | |
980 | { 287863.09027338214, 10, -2.0999999999999996, 0.0 }, | |
981 | { 200416.00000000000, 10, -2.0000000000000000, 0.0 }, | |
982 | { 109249.22783242268, 10, -1.9000000000000004, 0.0 }, | |
983 | { 29012.094015896859, 10, -1.7999999999999989, 0.0 }, | |
984 | { -31740.330680422732, 10, -1.6999999999999993, 0.0 }, | |
985 | { -69648.597834137676, 10, -1.5999999999999996, 0.0 }, | |
986 | { -85401.000000000000, 10, -1.5000000000000000, 0.0 }, | |
987 | { -82507.675752857642, 10, -1.4000000000000004, 0.0 }, | |
988 | { -66123.413033062170, 10, -1.2999999999999989, 0.0 }, | |
989 | { -42007.465141862223, 10, -1.1999999999999993, 0.0 }, | |
990 | { -15676.055823257526, 10, -1.0999999999999996, 0.0 }, | |
991 | { 8224.0000000000000, 10, -1.0000000000000000, 0.0 }, | |
992 | { 26314.366684262357, 10, -0.90000000000000036, 0.0 }, | |
993 | { 36668.344916377660, 10, -0.79999999999999893, 0.0 }, | |
994 | { 38802.826035097583, 10, -0.69999999999999929, 0.0 }, | |
995 | { 33513.167890022363, 10, -0.59999999999999964, 0.0 }, | |
996 | { 22591.000000000000, 10, -0.50000000000000000, 0.0 }, | |
997 | { 8467.6907597821937, 10, -0.39999999999999858, 0.0 }, | |
998 | { -6173.8524877825521, 10, -0.29999999999999893, 0.0 }, | |
999 | { -18778.856957542470, 10, -0.19999999999999929, 0.0 }, | |
1000 | { -27256.158950297624, 10, -0.099999999999999645, 0.0 }, | |
1001 | { -30240.000000000000, 10, 0.0000000000000000, 0.0 }, | |
1002 | { -27256.158950297515, 10, 0.10000000000000142, 0.0 }, | |
1003 | { -18778.856957542288, 10, 0.20000000000000107, 0.0 }, | |
1004 | { -6173.8524877822965, 10, 0.30000000000000071, 0.0 }, | |
1005 | { 8467.6907597824556, 10, 0.40000000000000036, 0.0 }, | |
1006 | { 22591.000000000000, 10, 0.50000000000000000, 0.0 }, | |
1007 | { 33513.167890022516, 10, 0.60000000000000142, 0.0 }, | |
1008 | { 38802.826035097620, 10, 0.70000000000000107, 0.0 }, | |
1009 | { 36668.344916377559, 10, 0.80000000000000071, 0.0 }, | |
1010 | { 26314.366684262357, 10, 0.90000000000000036, 0.0 }, | |
1011 | { 8224.0000000000000, 10, 1.0000000000000000, 0.0 }, | |
1012 | { -15676.055823257961, 10, 1.1000000000000014, 0.0 }, | |
1013 | { -42007.465141862689, 10, 1.2000000000000011, 0.0 }, | |
1014 | { -66123.413033062563, 10, 1.3000000000000007, 0.0 }, | |
1015 | { -82507.675752857642, 10, 1.4000000000000004, 0.0 }, | |
1016 | { -85401.000000000000, 10, 1.5000000000000000, 0.0 }, | |
1017 | { -69648.597834137239, 10, 1.6000000000000014, 0.0 }, | |
1018 | { -31740.330680421859, 10, 1.7000000000000011, 0.0 }, | |
1019 | { 29012.094015898125, 10, 1.8000000000000007, 0.0 }, | |
1020 | { 109249.22783242268, 10, 1.9000000000000004, 0.0 }, | |
1021 | { 200416.00000000000, 10, 2.0000000000000000, 0.0 }, | |
1022 | { 287863.09027338354, 10, 2.1000000000000014, 0.0 }, | |
1023 | { 350419.82826741802, 10, 2.2000000000000011, 0.0 }, | |
1024 | { 360718.79745525745, 10, 2.3000000000000007, 0.0 }, | |
1025 | { 286617.47398410190, 10, 2.4000000000000004, 0.0 }, | |
1026 | { 94135.000000000000, 10, 2.5000000000000000, 0.0 }, | |
1027 | { -247597.05012470379, 10, 2.6000000000000014, 0.0 }, | |
1028 | { -758781.93281034881, 10, 2.7000000000000011, 0.0 }, | |
1029 | { -1438117.1978829878, 10, 2.8000000000000007, 0.0 }, | |
1030 | { -2247873.5653938209, 10, 2.9000000000000004, 0.0 }, | |
1031 | { -3093984.0000000000, 10, 3.0000000000000000, 0.0 }, | |
1032 | { -3800107.4878923851, 10, 3.1000000000000014, 0.0 }, | |
1033 | { -4074495.5241857045, 10, 3.2000000000000011, 0.0 }, | |
1034 | { -3468342.2313268133, 10, 3.3000000000000007, 0.0 }, | |
1035 | { -1324140.9798373245, 10, 3.4000000000000004, 0.0 }, | |
1036 | { 3287599.0000000000, 10, 3.5000000000000000, 0.0 }, | |
1037 | { 11645103.614666503, 10, 3.6000000000000014, 0.0 }, | |
1038 | { 25467573.275709510, 10, 3.7000000000000011, 0.0 }, | |
1039 | { 47025137.016035900, 10, 3.8000000000000007, 0.0 }, | |
1040 | { 79268966.162877649, 10, 3.9000000000000004, 0.0 }, | |
1041 | { 125984224.00000000, 10, 4.0000000000000000, 0.0 }, | |
1042 | { 191968773.03860855, 10, 4.1000000000000014, 0.0 }, | |
1043 | { 283240820.63788390, 10, 4.2000000000000011, 0.0 }, | |
1044 | { 407278957.14375770, 10, 4.3000000000000007, 0.0 }, | |
1045 | { 573298328.81993556, 10, 4.4000000000000004, 0.0 }, | |
1046 | { 792566991.00000000, 10, 4.5000000000000000, 0.0 }, | |
1047 | { 1078766805.4651513, 10, 4.6000000000000014, 0.0 }, | |
1048 | { 1448403580.4203873, 10, 4.7000000000000011, 0.0 }, | |
1049 | { 1921271501.9744320, 10, 4.8000000000000007, 0.0 }, | |
1050 | { 2520977273.0966806, 10, 4.9000000000000004, 0.0 }, | |
1051 | { 3275529760.0000000, 10, 5.0000000000000000, 0.0 }, | |
1052 | { 4218001347.1524763, 10, 5.1000000000000014, 0.0 }, | |
1053 | { 5387267621.0259113, 10, 5.2000000000000011, 0.0 }, | |
1054 | { 6828832439.6160927, 10, 5.3000000000000007, 0.0 }, | |
1055 | { 8595745900.0898170, 10, 5.4000000000000004, 0.0 }, | |
1056 | { 10749623191.000000, 10, 5.5000000000000000, 0.0 }, | |
1057 | { 13361772808.732529, 10, 5.6000000000000014, 0.0 }, | |
1058 | { 16514443130.579391, 10, 5.7000000000000011, 0.0 }, | |
1059 | { 20302196869.444618, 10, 5.8000000000000007, 0.0 }, | |
1060 | { 24833423488.050617, 10, 5.9000000000000004, 0.0 }, | |
1061 | { 30232000224.000000, 10, 6.0000000000000000, 0.0 }, | |
1062 | { 36639112971.527824, 10, 6.1000000000000014, 0.0 }, | |
1063 | { 44215248881.625443, 10, 6.1999999999999993, 0.0 }, | |
1064 | { 53142373179.806152, 10, 6.3000000000000007, 0.0 }, | |
1065 | { 63626303360.468330, 10, 6.4000000000000021, 0.0 }, | |
1066 | { 75899294599.000000, 10, 6.5000000000000000, 0.0 }, | |
1067 | { 90222850927.788208, 10, 6.6000000000000014, 0.0 }, | |
1068 | { 106890777450.54652, 10, 6.6999999999999993, 0.0 }, | |
1069 | { 126232489621.23946, 10, 6.8000000000000007, 0.0 }, | |
1070 | { 148616596389.67273, 10, 6.9000000000000021, 0.0 }, | |
1071 | { 174454774816.00000, 10, 7.0000000000000000, 0.0 }, | |
1072 | { 204205954581.24780, 10, 7.1000000000000014, 0.0 }, | |
1073 | { 238380831670.89960, 10, 7.1999999999999993, 0.0 }, | |
1074 | { 277546731384.01831, 10, 7.3000000000000007, 0.0 }, | |
1075 | { 322332841721.55811, 10, 7.4000000000000021, 0.0 }, | |
1076 | { 373435839135.00000, 10, 7.5000000000000000, 0.0 }, | |
1077 | { 431625929570.40161, 10, 7.6000000000000014, 0.0 }, | |
1078 | { 497753328723.87476, 10, 7.6999999999999993, 0.0 }, | |
1079 | { 572755206432.81396, 10, 7.8000000000000007, 0.0 }, | |
1080 | { 657663121163.02625, 10, 7.9000000000000021, 0.0 }, | |
1081 | { 753610971616.00000, 10, 8.0000000000000000, 0.0 }, | |
1082 | { 861843493572.90283, 10, 8.1000000000000014, 0.0 }, | |
1083 | { 983725331213.07190, 10, 8.1999999999999993, 0.0 }, | |
1084 | { 1120750713295.2778, 10, 8.3000000000000007, 0.0 }, | |
1085 | { 1274553765769.7490, 10, 8.4000000000000021, 0.0 }, | |
1086 | { 1446919493599.0000, 10, 8.5000000000000000, 0.0 }, | |
1087 | { 1639795465805.4785, 10, 8.6000000000000014, 0.0 }, | |
1088 | { 1855304239034.7983, 10, 8.6999999999999993, 0.0 }, | |
1089 | { 2095756556225.3428, 10, 8.8000000000000007, 0.0 }, | |
1090 | { 2363665358307.8540, 10, 8.9000000000000021, 0.0 }, | |
1091 | { 2661760648224.0000, 10, 9.0000000000000000, 0.0 }, | |
1092 | { 2993005247949.7671, 10, 9.1000000000000014, 0.0 }, | |
1093 | { 3360611490639.1025, 10, 9.2000000000000028, 0.0 }, | |
1094 | { 3768058891466.0469, 10, 9.3000000000000007, 0.0 }, | |
1095 | { 4219112842239.1221, 10, 9.4000000000000021, 0.0 }, | |
1096 | { 4717844376391.0000, 10, 9.5000000000000000, 0.0 }, | |
1097 | { 5268651052510.4785, 10, 9.6000000000000014, 0.0 }, | |
1098 | { 5876279006180.6602, 10, 9.7000000000000028, 0.0 }, | |
1099 | { 6545846221520.6768, 10, 9.8000000000000007, 0.0 }, | |
1100 | { 7282867075495.3213, 10, 9.9000000000000021, 0.0 }, | |
1101 | { 8093278209760.0000, 10, 10.000000000000000, 0.0 }, | |
2be75957 ESR |
1102 | }; |
1103 | const double toler005 = 2.5000000000000020e-13; | |
1104 | ||
1105 | // Test data for n=20. | |
b4688136 | 1106 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
2be75957 | 1107 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
b4688136 ESR |
1108 | // mean(f - f_GSL): 0.0000000000000000 |
1109 | // variance(f - f_GSL): 0.0000000000000000 | |
1110 | // stddev(f - f_GSL): 0.0000000000000000 | |
2be75957 ESR |
1111 | const testcase_hermite<double> |
1112 | data006[201] = | |
1113 | { | |
b4688136 ESR |
1114 | { 3.6536710970888030e+25, 20, -10.000000000000000, 0.0 }, |
1115 | { 2.9174932703098834e+25, 20, -9.9000000000000004, 0.0 }, | |
1116 | { 2.3228769039548404e+25, 20, -9.8000000000000007, 0.0 }, | |
1117 | { 1.8439144509496016e+25, 20, -9.6999999999999993, 0.0 }, | |
1118 | { 1.4591971834545420e+25, 20, -9.5999999999999996, 0.0 }, | |
1119 | { 1.1510764882450827e+25, 20, -9.5000000000000000, 0.0 }, | |
1120 | { 9.0503941245991605e+24, 20, -9.4000000000000004, 0.0 }, | |
1121 | { 7.0918188910312152e+24, 20, -9.3000000000000007, 0.0 }, | |
1122 | { 5.5376531405202033e+24, 20, -9.1999999999999993, 0.0 }, | |
1123 | { 4.3084410724035914e+24, 20, -9.0999999999999996, 0.0 }, | |
1124 | { 3.3395360269524137e+24, 20, -9.0000000000000000, 0.0 }, | |
1125 | { 2.5784910430831484e+24, 20, -8.9000000000000004, 0.0 }, | |
1126 | { 1.9828824261062853e+24, 20, -8.8000000000000007, 0.0 }, | |
1127 | { 1.5184989558235974e+24, 20, -8.6999999999999993, 0.0 }, | |
1128 | { 1.1578391431515818e+24, 20, -8.5999999999999996, 0.0 }, | |
1129 | { 8.7886740525023878e+23, 20, -8.5000000000000000, 0.0 }, | |
1130 | { 6.6398733801206072e+23, 20, -8.4000000000000004, 0.0 }, | |
1131 | { 4.9919656538201190e+23, 20, -8.3000000000000007, 0.0 }, | |
1132 | { 3.7339306542317994e+23, 20, -8.1999999999999993, 0.0 }, | |
1133 | { 2.7780752653950559e+23, 20, -8.0999999999999996, 0.0 }, | |
1134 | { 2.0554027373991249e+23, 20, -8.0000000000000000, 0.0 }, | |
1135 | { 1.5118471231121695e+23, 20, -7.9000000000000004, 0.0 }, | |
1136 | { 1.1052214218386250e+23, 20, -7.7999999999999998, 0.0 }, | |
1137 | { 8.0275268594719286e+22, 20, -7.6999999999999993, 0.0 }, | |
1138 | { 5.7909832934009042e+22, 20, -7.5999999999999996, 0.0 }, | |
1139 | { 4.1475563998692745e+22, 20, -7.5000000000000000, 0.0 }, | |
1140 | { 2.9479149729249250e+22, 20, -7.4000000000000004, 0.0 }, | |
1141 | { 2.0783192485964573e+22, 20, -7.2999999999999998, 0.0 }, | |
1142 | { 1.4526171451238465e+22, 20, -7.1999999999999993, 0.0 }, | |
1143 | { 1.0059323685871305e+22, 20, -7.0999999999999996, 0.0 }, | |
1144 | { 6.8970965604502329e+21, 20, -7.0000000000000000, 0.0 }, | |
1145 | { 4.6784410379528280e+21, 20, -6.9000000000000004, 0.0 }, | |
1146 | { 3.1367268160419670e+21, 20, -6.7999999999999998, 0.0 }, | |
1147 | { 2.0764831558419680e+21, 20, -6.6999999999999993, 0.0 }, | |
1148 | { 1.3555174744148132e+21, 20, -6.5999999999999996, 0.0 }, | |
1149 | { 8.7124954970091579e+20, 20, -6.5000000000000000, 0.0 }, | |
1150 | { 5.5033278133788108e+20, 20, -6.4000000000000004, 0.0 }, | |
1151 | { 3.4082412197533739e+20, 20, -6.2999999999999998, 0.0 }, | |
1152 | { 2.0631845648712086e+20, 20, -6.1999999999999993, 0.0 }, | |
1153 | { 1.2158762212269028e+20, 20, -6.0999999999999996, 0.0 }, | |
1154 | { 6.9364200641629315e+19, 20, -6.0000000000000000, 0.0 }, | |
1155 | { 3.7990093270095700e+19, 20, -5.8999999999999995, 0.0 }, | |
1156 | { 1.9713403927925858e+19, 20, -5.7999999999999998, 0.0 }, | |
1157 | { 9.4673798488533340e+18, 20, -5.7000000000000002, 0.0 }, | |
1158 | { 4.0046403628787825e+18, 20, -5.5999999999999996, 0.0 }, | |
1159 | { 1.2907686705724293e+18, 20, -5.5000000000000000, 0.0 }, | |
1160 | { 85277679782819584., 20, -5.3999999999999995, 0.0 }, | |
1161 | { -3.4359547179069376e+17, 20, -5.2999999999999998, 0.0 }, | |
1162 | { -4.0970873501577562e+17, 20, -5.1999999999999993, 0.0 }, | |
1163 | { -3.3419585613348250e+17, 20, -5.0999999999999996, 0.0 }, | |
1164 | { -2.2571776716382720e+17, 20, -5.0000000000000000, 0.0 }, | |
1165 | { -1.3051120203565493e+17, 20, -4.8999999999999995, 0.0 }, | |
1166 | { -62555669197021992., 20, -4.7999999999999998, 0.0 }, | |
1167 | { -20974173561009776., 20, -4.6999999999999993, 0.0 }, | |
1168 | { 519073301695656.00, 20, -4.5999999999999996, 0.0 }, | |
1169 | { 8939556693761121.0, 20, -4.5000000000000000, 0.0 }, | |
1170 | { 10070625675125174., 20, -4.3999999999999995, 0.0 }, | |
1171 | { 7940371996960715.0, 20, -4.2999999999999998, 0.0 }, | |
1172 | { 4973623686173539.0, 20, -4.1999999999999993, 0.0 }, | |
1173 | { 2389023282480410.0, 20, -4.0999999999999996, 0.0 }, | |
1174 | { 619678016654336.00, 20, -4.0000000000000000, 0.0 }, | |
1175 | { -339773491011950.50, 20, -3.8999999999999995, 0.0 }, | |
1176 | { -687467334428204.38, 20, -3.7999999999999998, 0.0 }, | |
1177 | { -663019129550482.25, 20, -3.6999999999999993, 0.0 }, | |
1178 | { -469585152350670.25, 20, -3.5999999999999996, 0.0 }, | |
1179 | { -245659781875039.00, 20, -3.5000000000000000, 0.0 }, | |
1180 | { -66042773886777.562, 20, -3.3999999999999995, 0.0 }, | |
1181 | { 43442261337436.312, 20, -3.2999999999999998, 0.0 }, | |
1182 | { 87626632986465.438, 20, -3.1999999999999993, 0.0 }, | |
1183 | { 85786202388511.375, 20, -3.0999999999999996, 0.0 }, | |
1184 | { 59990281399296.000, 20, -3.0000000000000000, 0.0 }, | |
1185 | { 28343496696717.773, 20, -2.8999999999999995, 0.0 }, | |
1186 | { 2296898915036.0859, 20, -2.7999999999999998, 0.0 }, | |
1187 | { -13249381789941.586, 20, -2.6999999999999993, 0.0 }, | |
1188 | { -18328180426561.059, 20, -2.5999999999999996, 0.0 }, | |
1189 | { -15799429886575.000, 20, -2.5000000000000000, 0.0 }, | |
1190 | { -9442592050214.2422, 20, -2.3999999999999995, 0.0 }, | |
1191 | { -2602375356373.2393, 20, -2.2999999999999998, 0.0 }, | |
1192 | { 2521759315047.8770, 20, -2.1999999999999993, 0.0 }, | |
1193 | { 5027779307352.6660, 20, -2.0999999999999996, 0.0 }, | |
1194 | { 5080118660096.0000, 20, -2.0000000000000000, 0.0 }, | |
1195 | { 3490463276000.5425, 20, -1.9000000000000004, 0.0 }, | |
1196 | { 1277254793997.0737, 20, -1.7999999999999989, 0.0 }, | |
1197 | { -682119355279.28784, 20, -1.6999999999999993, 0.0 }, | |
1198 | { -1851544254412.3203, 20, -1.5999999999999996, 0.0 }, | |
1199 | { -2085387081039.0000, 20, -1.5000000000000000, 0.0 }, | |
1200 | { -1559402933581.5054, 20, -1.4000000000000004, 0.0 }, | |
1201 | { -634265763221.85437, 20, -1.2999999999999989, 0.0 }, | |
1202 | { 295481874887.33429, 20, -1.1999999999999993, 0.0 }, | |
1203 | { 924603483429.34241, 20, -1.0999999999999996, 0.0 }, | |
1204 | { 1107214478336.0000, 20, -1.0000000000000000, 0.0 }, | |
1205 | { 867235623835.12463, 20, -0.90000000000000036, 0.0 }, | |
1206 | { 358848462745.14441, 20, -0.79999999999999893, 0.0 }, | |
1207 | { -202944086511.71936, 20, -0.69999999999999929, 0.0 }, | |
1208 | { -617730863561.32617, 20, -0.59999999999999964, 0.0 }, | |
1209 | { -759627879679.00000, 20, -0.50000000000000000, 0.0 }, | |
1210 | { -607451728035.02795, 20, -0.39999999999999858, 0.0 }, | |
1211 | { -240424854484.41342, 20, -0.29999999999999893, 0.0 }, | |
1212 | { 195759209122.61337, 20, -0.19999999999999929, 0.0 }, | |
1213 | { 540334019322.52014, 20, -0.099999999999999645, 0.0 }, | |
1214 | { 670442572800.00000, 20, 0.0000000000000000, 0.0 }, | |
1215 | { 540334019322.51575, 20, 0.10000000000000142, 0.0 }, | |
1216 | { 195759209122.60626, 20, 0.20000000000000107, 0.0 }, | |
1217 | { -240424854484.42111, 20, 0.30000000000000071, 0.0 }, | |
1218 | { -607451728035.03271, 20, 0.40000000000000036, 0.0 }, | |
1219 | { -759627879679.00000, 20, 0.50000000000000000, 0.0 }, | |
1220 | { -617730863561.32117, 20, 0.60000000000000142, 0.0 }, | |
1221 | { -202944086511.71027, 20, 0.70000000000000107, 0.0 }, | |
1222 | { 358848462745.15466, 20, 0.80000000000000071, 0.0 }, | |
1223 | { 867235623835.12463, 20, 0.90000000000000036, 0.0 }, | |
1224 | { 1107214478336.0000, 20, 1.0000000000000000, 0.0 }, | |
1225 | { 924603483429.33521, 20, 1.1000000000000014, 0.0 }, | |
1226 | { 295481874887.31995, 20, 1.2000000000000011, 0.0 }, | |
1227 | { -634265763221.87231, 20, 1.3000000000000007, 0.0 }, | |
1228 | { -1559402933581.5054, 20, 1.4000000000000004, 0.0 }, | |
1229 | { -2085387081039.0000, 20, 1.5000000000000000, 0.0 }, | |
1230 | { -1851544254412.3086, 20, 1.6000000000000014, 0.0 }, | |
1231 | { -682119355279.25952, 20, 1.7000000000000011, 0.0 }, | |
1232 | { 1277254793997.1128, 20, 1.8000000000000007, 0.0 }, | |
1233 | { 3490463276000.5425, 20, 1.9000000000000004, 0.0 }, | |
1234 | { 5080118660096.0000, 20, 2.0000000000000000, 0.0 }, | |
1235 | { 5027779307352.6436, 20, 2.1000000000000014, 0.0 }, | |
1236 | { 2521759315047.8071, 20, 2.2000000000000011, 0.0 }, | |
1237 | { -2602375356373.2969, 20, 2.3000000000000007, 0.0 }, | |
1238 | { -9442592050214.3027, 20, 2.4000000000000004, 0.0 }, | |
1239 | { -15799429886575.000, 20, 2.5000000000000000, 0.0 }, | |
1240 | { -18328180426561.039, 20, 2.6000000000000014, 0.0 }, | |
1241 | { -13249381789941.420, 20, 2.7000000000000011, 0.0 }, | |
1242 | { 2296898915036.2812, 20, 2.8000000000000007, 0.0 }, | |
1243 | { 28343496696718.070, 20, 2.9000000000000004, 0.0 }, | |
1244 | { 59990281399296.000, 20, 3.0000000000000000, 0.0 }, | |
1245 | { 85786202388511.641, 20, 3.1000000000000014, 0.0 }, | |
1246 | { 87626632986465.219, 20, 3.2000000000000011, 0.0 }, | |
1247 | { 43442261337435.672, 20, 3.3000000000000007, 0.0 }, | |
1248 | { -66042773886778.938, 20, 3.4000000000000004, 0.0 }, | |
1249 | { -245659781875039.00, 20, 3.5000000000000000, 0.0 }, | |
1250 | { -469585152350674.31, 20, 3.6000000000000014, 0.0 }, | |
1251 | { -663019129550484.62, 20, 3.7000000000000011, 0.0 }, | |
1252 | { -687467334428203.38, 20, 3.8000000000000007, 0.0 }, | |
1253 | { -339773491011946.00, 20, 3.9000000000000004, 0.0 }, | |
1254 | { 619678016654336.00, 20, 4.0000000000000000, 0.0 }, | |
1255 | { 2389023282480449.0, 20, 4.1000000000000014, 0.0 }, | |
1256 | { 4973623686173592.0, 20, 4.2000000000000011, 0.0 }, | |
1257 | { 7940371996960741.0, 20, 4.3000000000000007, 0.0 }, | |
1258 | { 10070625675125180., 20, 4.4000000000000004, 0.0 }, | |
1259 | { 8939556693761121.0, 20, 4.5000000000000000, 0.0 }, | |
1260 | { 519073301695404.00, 20, 4.6000000000000014, 0.0 }, | |
1261 | { -20974173561010304., 20, 4.7000000000000011, 0.0 }, | |
1262 | { -62555669197022528., 20, 4.8000000000000007, 0.0 }, | |
1263 | { -1.3051120203565566e+17, 20, 4.9000000000000004, 0.0 }, | |
1264 | { -2.2571776716382720e+17, 20, 5.0000000000000000, 0.0 }, | |
1265 | { -3.3419585613348416e+17, 20, 5.1000000000000014, 0.0 }, | |
1266 | { -4.0970873501577613e+17, 20, 5.2000000000000011, 0.0 }, | |
1267 | { -3.4359547179069216e+17, 20, 5.3000000000000007, 0.0 }, | |
1268 | { 85277679782823936., 20, 5.4000000000000004, 0.0 }, | |
1269 | { 1.2907686705724293e+18, 20, 5.5000000000000000, 0.0 }, | |
1270 | { 4.0046403628788460e+18, 20, 5.6000000000000014, 0.0 }, | |
1271 | { 9.4673798488534159e+18, 20, 5.7000000000000011, 0.0 }, | |
1272 | { 1.9713403927925973e+19, 20, 5.8000000000000007, 0.0 }, | |
1273 | { 3.7990093270095905e+19, 20, 5.9000000000000004, 0.0 }, | |
1274 | { 6.9364200641629315e+19, 20, 6.0000000000000000, 0.0 }, | |
1275 | { 1.2158762212269156e+20, 20, 6.1000000000000014, 0.0 }, | |
1276 | { 2.0631845648712086e+20, 20, 6.1999999999999993, 0.0 }, | |
1277 | { 3.4082412197533902e+20, 20, 6.3000000000000007, 0.0 }, | |
1278 | { 5.5033278133788620e+20, 20, 6.4000000000000021, 0.0 }, | |
1279 | { 8.7124954970091579e+20, 20, 6.5000000000000000, 0.0 }, | |
1280 | { 1.3555174744148243e+21, 20, 6.6000000000000014, 0.0 }, | |
1281 | { 2.0764831558419680e+21, 20, 6.6999999999999993, 0.0 }, | |
1282 | { 3.1367268160419775e+21, 20, 6.8000000000000007, 0.0 }, | |
1283 | { 4.6784410379528606e+21, 20, 6.9000000000000021, 0.0 }, | |
1284 | { 6.8970965604502329e+21, 20, 7.0000000000000000, 0.0 }, | |
1285 | { 1.0059323685871368e+22, 20, 7.1000000000000014, 0.0 }, | |
1286 | { 1.4526171451238465e+22, 20, 7.1999999999999993, 0.0 }, | |
1287 | { 2.0783192485964666e+22, 20, 7.3000000000000007, 0.0 }, | |
1288 | { 2.9479149729249434e+22, 20, 7.4000000000000021, 0.0 }, | |
1289 | { 4.1475563998692745e+22, 20, 7.5000000000000000, 0.0 }, | |
1290 | { 5.7909832934009378e+22, 20, 7.6000000000000014, 0.0 }, | |
1291 | { 8.0275268594719286e+22, 20, 7.6999999999999993, 0.0 }, | |
1292 | { 1.1052214218386286e+23, 20, 7.8000000000000007, 0.0 }, | |
1293 | { 1.5118471231121759e+23, 20, 7.9000000000000021, 0.0 }, | |
1294 | { 2.0554027373991249e+23, 20, 8.0000000000000000, 0.0 }, | |
1295 | { 2.7780752653950703e+23, 20, 8.1000000000000014, 0.0 }, | |
1296 | { 3.7339306542317994e+23, 20, 8.1999999999999993, 0.0 }, | |
1297 | { 4.9919656538201190e+23, 20, 8.3000000000000007, 0.0 }, | |
1298 | { 6.6398733801206421e+23, 20, 8.4000000000000021, 0.0 }, | |
1299 | { 8.7886740525023878e+23, 20, 8.5000000000000000, 0.0 }, | |
1300 | { 1.1578391431515869e+24, 20, 8.6000000000000014, 0.0 }, | |
1301 | { 1.5184989558235974e+24, 20, 8.6999999999999993, 0.0 }, | |
1302 | { 1.9828824261062853e+24, 20, 8.8000000000000007, 0.0 }, | |
1303 | { 2.5784910430831597e+24, 20, 8.9000000000000021, 0.0 }, | |
1304 | { 3.3395360269524137e+24, 20, 9.0000000000000000, 0.0 }, | |
1305 | { 4.3084410724036123e+24, 20, 9.1000000000000014, 0.0 }, | |
1306 | { 5.5376531405202538e+24, 20, 9.2000000000000028, 0.0 }, | |
1307 | { 7.0918188910312152e+24, 20, 9.3000000000000007, 0.0 }, | |
1308 | { 9.0503941245991948e+24, 20, 9.4000000000000021, 0.0 }, | |
1309 | { 1.1510764882450827e+25, 20, 9.5000000000000000, 0.0 }, | |
1310 | { 1.4591971834545491e+25, 20, 9.6000000000000014, 0.0 }, | |
1311 | { 1.8439144509496166e+25, 20, 9.7000000000000028, 0.0 }, | |
1312 | { 2.3228769039548404e+25, 20, 9.8000000000000007, 0.0 }, | |
1313 | { 2.9174932703098967e+25, 20, 9.9000000000000021, 0.0 }, | |
1314 | { 3.6536710970888030e+25, 20, 10.000000000000000, 0.0 }, | |
2be75957 ESR |
1315 | }; |
1316 | const double toler006 = 2.5000000000000020e-13; | |
1317 | ||
1318 | // Test data for n=50. | |
b4688136 | 1319 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
2be75957 | 1320 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
b4688136 ESR |
1321 | // mean(f - f_GSL): 0.0000000000000000 |
1322 | // variance(f - f_GSL): 0.0000000000000000 | |
1323 | // stddev(f - f_GSL): 0.0000000000000000 | |
2be75957 ESR |
1324 | const testcase_hermite<double> |
1325 | data007[201] = | |
1326 | { | |
b4688136 ESR |
1327 | { 1.3516643049819314e+61, 50, -10.000000000000000, 0.0 }, |
1328 | { 5.8466703062266110e+60, 50, -9.9000000000000004, 0.0 }, | |
1329 | { 2.4344814863741168e+60, 50, -9.8000000000000007, 0.0 }, | |
1330 | { 9.6739828066585787e+59, 50, -9.6999999999999993, 0.0 }, | |
1331 | { 3.6194312967780128e+59, 50, -9.5999999999999996, 0.0 }, | |
1332 | { 1.2454022521696361e+59, 50, -9.5000000000000000, 0.0 }, | |
1333 | { 3.7546881918013145e+58, 50, -9.4000000000000004, 0.0 }, | |
1334 | { 8.6500158470917270e+57, 50, -9.3000000000000007, 0.0 }, | |
1335 | { 5.3163209769527426e+56, 50, -9.1999999999999993, 0.0 }, | |
1336 | { -9.7863165370930473e+56, 50, -9.0999999999999996, 0.0 }, | |
1337 | { -8.0563930902368911e+56, 50, -9.0000000000000000, 0.0 }, | |
1338 | { -4.3145937406321933e+56, 50, -8.9000000000000004, 0.0 }, | |
1339 | { -1.8210771577645630e+56, 50, -8.8000000000000007, 0.0 }, | |
1340 | { -6.0082225302289557e+55, 50, -8.6999999999999993, 0.0 }, | |
1341 | { -1.2392013720948442e+55, 50, -8.5999999999999996, 0.0 }, | |
1342 | { 1.5935887905806307e+54, 50, -8.5000000000000000, 0.0 }, | |
1343 | { 3.4325365049909381e+54, 50, -8.4000000000000004, 0.0 }, | |
1344 | { 2.2368641272300899e+54, 50, -8.3000000000000007, 0.0 }, | |
1345 | { 1.0009712198862341e+54, 50, -8.1999999999999993, 0.0 }, | |
1346 | { 3.0699480272357337e+53, 50, -8.0999999999999996, 0.0 }, | |
1347 | { 2.9492797132685063e+52, 50, -8.0000000000000000, 0.0 }, | |
1348 | { -3.9982544106300062e+52, 50, -7.9000000000000004, 0.0 }, | |
1349 | { -3.5678031330023779e+52, 50, -7.7999999999999998, 0.0 }, | |
1350 | { -1.8076371748762319e+52, 50, -7.6999999999999993, 0.0 }, | |
1351 | { -5.7887622198708925e+51, 50, -7.5999999999999996, 0.0 }, | |
1352 | { -3.5808467693113330e+50, 50, -7.5000000000000000, 0.0 }, | |
1353 | { 1.0219511166806405e+51, 50, -7.4000000000000004, 0.0 }, | |
1354 | { 8.4241263694549560e+50, 50, -7.2999999999999998, 0.0 }, | |
1355 | { 3.9143899315095070e+50, 50, -7.1999999999999993, 0.0 }, | |
1356 | { 9.3178966245756654e+49, 50, -7.0999999999999996, 0.0 }, | |
1357 | { -2.4714855983436561e+49, 50, -7.0000000000000000, 0.0 }, | |
1358 | { -4.1428217272044600e+49, 50, -6.9000000000000004, 0.0 }, | |
1359 | { -2.4864980414057334e+49, 50, -6.7999999999999998, 0.0 }, | |
1360 | { -8.0684355476446876e+48, 50, -6.6999999999999993, 0.0 }, | |
1361 | { 4.2529238530179841e+47, 50, -6.5999999999999996, 0.0 }, | |
1362 | { 2.4709663739849681e+48, 50, -6.5000000000000000, 0.0 }, | |
1363 | { 1.7500305481204125e+48, 50, -6.4000000000000004, 0.0 }, | |
1364 | { 6.3834558285146007e+47, 50, -6.2999999999999998, 0.0 }, | |
1365 | { -1.1477672402384868e+46, 50, -6.1999999999999993, 0.0 }, | |
1366 | { -1.9304630401841983e+47, 50, -6.0999999999999996, 0.0 }, | |
1367 | { -1.4355266959903589e+47, 50, -6.0000000000000000, 0.0 }, | |
1368 | { -5.1482200905565497e+46, 50, -5.8999999999999995, 0.0 }, | |
1369 | { 4.6577356827463283e+45, 50, -5.7999999999999998, 0.0 }, | |
1370 | { 1.9676012349652066e+46, 50, -5.7000000000000002, 0.0 }, | |
1371 | { 1.3630554018675846e+46, 50, -5.5999999999999996, 0.0 }, | |
1372 | { 4.0920495328093750e+45, 50, -5.5000000000000000, 0.0 }, | |
1373 | { -1.3680638882145570e+45, 50, -5.3999999999999995, 0.0 }, | |
1374 | { -2.4465265559935436e+45, 50, -5.2999999999999998, 0.0 }, | |
1375 | { -1.4270495629649337e+45, 50, -5.1999999999999993, 0.0 }, | |
1376 | { -2.4845518743338381e+44, 50, -5.0999999999999996, 0.0 }, | |
1377 | { 3.1953926721271990e+44, 50, -5.0000000000000000, 0.0 }, | |
1378 | { 3.4169399444879477e+44, 50, -4.8999999999999995, 0.0 }, | |
1379 | { 1.4896819114978755e+44, 50, -4.7999999999999998, 0.0 }, | |
1380 | { -1.3078430866969463e+43, 50, -4.6999999999999993, 0.0 }, | |
1381 | { -6.8449168639700716e+43, 50, -4.5999999999999996, 0.0 }, | |
1382 | { -4.9181639709997461e+43, 50, -4.5000000000000000, 0.0 }, | |
1383 | { -1.1434943490344838e+43, 50, -4.3999999999999995, 0.0 }, | |
1384 | { 1.1214652543461432e+43, 50, -4.2999999999999998, 0.0 }, | |
1385 | { 1.3843548994480566e+43, 50, -4.1999999999999993, 0.0 }, | |
1386 | { 6.3349790205303262e+42, 50, -4.0999999999999996, 0.0 }, | |
1387 | { -9.5599640670553907e+41, 50, -4.0000000000000000, 0.0 }, | |
1388 | { -3.6202558158287989e+42, 50, -3.8999999999999995, 0.0 }, | |
1389 | { -2.5206461734624493e+42, 50, -3.7999999999999998, 0.0 }, | |
1390 | { -3.7818051510730675e+41, 50, -3.6999999999999993, 0.0 }, | |
1391 | { 8.8921371165335050e+41, 50, -3.5999999999999996, 0.0 }, | |
1392 | { 9.2055485763852770e+41, 50, -3.5000000000000000, 0.0 }, | |
1393 | { 3.2535765707282432e+41, 50, -3.3999999999999995, 0.0 }, | |
1394 | { -1.9358941418244578e+41, 50, -3.2999999999999998, 0.0 }, | |
1395 | { -3.3076282847915616e+41, 50, -3.1999999999999993, 0.0 }, | |
1396 | { -1.7764977066639160e+41, 50, -3.0999999999999996, 0.0 }, | |
1397 | { 2.6751882008697154e+40, 50, -3.0000000000000000, 0.0 }, | |
1398 | { 1.2025382369996071e+41, 50, -2.8999999999999995, 0.0 }, | |
1399 | { 8.8383035103557973e+40, 50, -2.7999999999999998, 0.0 }, | |
1400 | { 7.7733606479635628e+39, 50, -2.6999999999999993, 0.0 }, | |
1401 | { -4.4696811758713757e+40, 50, -2.5999999999999996, 0.0 }, | |
1402 | { -4.3715062488963453e+40, 50, -2.5000000000000000, 0.0 }, | |
1403 | { -1.1390080390574979e+40, 50, -2.3999999999999995, 0.0 }, | |
1404 | { 1.6938519751181342e+40, 50, -2.2999999999999998, 0.0 }, | |
1405 | { 2.2284509952956162e+40, 50, -2.1999999999999993, 0.0 }, | |
1406 | { 9.0967994280570531e+39, 50, -2.0999999999999996, 0.0 }, | |
1407 | { -6.4126677997472978e+39, 50, -2.0000000000000000, 0.0 }, | |
1408 | { -1.1926839454034341e+40, 50, -1.9000000000000004, 0.0 }, | |
1409 | { -6.5436654274697603e+39, 50, -1.7999999999999989, 0.0 }, | |
1410 | { 2.2779499542550411e+39, 50, -1.6999999999999993, 0.0 }, | |
1411 | { 6.7720530889699639e+39, 50, -1.5999999999999996, 0.0 }, | |
1412 | { 4.6884851188034300e+39, 50, -1.5000000000000000, 0.0 }, | |
1413 | { -5.9005001052557463e+38, 50, -1.4000000000000004, 0.0 }, | |
1414 | { -4.1028320210430837e+39, 50, -1.2999999999999989, 0.0 }, | |
1415 | { -3.4780049977083965e+39, 50, -1.1999999999999993, 0.0 }, | |
1416 | { -1.3484918476373692e+38, 50, -1.0999999999999996, 0.0 }, | |
1417 | { 2.6586815431645456e+39, 50, -1.0000000000000000, 0.0 }, | |
1418 | { 2.7225429473661429e+39, 50, -0.90000000000000036, 0.0 }, | |
1419 | { 4.7785441024946841e+38, 50, -0.79999999999999893, 0.0 }, | |
1420 | { -1.8416784378790159e+39, 50, -0.69999999999999929, 0.0 }, | |
1421 | { -2.2725918816693132e+39, 50, -0.59999999999999964, 0.0 }, | |
1422 | { -6.7948375014926916e+38, 50, -0.50000000000000000, 0.0 }, | |
1423 | { 1.3581645858906036e+39, 50, -0.39999999999999858, 0.0 }, | |
1424 | { 2.0349661043040443e+39, 50, -0.29999999999999893, 0.0 }, | |
1425 | { 8.5049248815817037e+38, 50, -0.19999999999999929, 0.0 }, | |
1426 | { -1.0564542132990048e+39, 50, -0.099999999999999645, 0.0 }, | |
1427 | { -1.9607814681608194e+39, 50, 0.0000000000000000, 0.0 }, | |
1428 | { -1.0564542132989758e+39, 50, 0.10000000000000142, 0.0 }, | |
1429 | { 8.5049248815820240e+38, 50, 0.20000000000000107, 0.0 }, | |
1430 | { 2.0349661043040497e+39, 50, 0.30000000000000071, 0.0 }, | |
1431 | { 1.3581645858905750e+39, 50, 0.40000000000000036, 0.0 }, | |
1432 | { -6.7948375014926916e+38, 50, 0.50000000000000000, 0.0 }, | |
1433 | { -2.2725918816693268e+39, 50, 0.60000000000000142, 0.0 }, | |
1434 | { -1.8416784378789875e+39, 50, 0.70000000000000107, 0.0 }, | |
1435 | { 4.7785441024951729e+38, 50, 0.80000000000000071, 0.0 }, | |
1436 | { 2.7225429473661429e+39, 50, 0.90000000000000036, 0.0 }, | |
1437 | { 2.6586815431645456e+39, 50, 1.0000000000000000, 0.0 }, | |
1438 | { -1.3484918476380069e+38, 50, 1.1000000000000014, 0.0 }, | |
1439 | { -3.4780049977084394e+39, 50, 1.2000000000000011, 0.0 }, | |
1440 | { -4.1028320210430589e+39, 50, 1.3000000000000007, 0.0 }, | |
1441 | { -5.9005001052557463e+38, 50, 1.4000000000000004, 0.0 }, | |
1442 | { 4.6884851188034300e+39, 50, 1.5000000000000000, 0.0 }, | |
1443 | { 6.7720530889699470e+39, 50, 1.6000000000000014, 0.0 }, | |
1444 | { 2.2779499542549072e+39, 50, 1.7000000000000011, 0.0 }, | |
1445 | { -6.5436654274699114e+39, 50, 1.8000000000000007, 0.0 }, | |
1446 | { -1.1926839454034341e+40, 50, 1.9000000000000004, 0.0 }, | |
1447 | { -6.4126677997472978e+39, 50, 2.0000000000000000, 0.0 }, | |
1448 | { 9.0967994280573626e+39, 50, 2.1000000000000014, 0.0 }, | |
1449 | { 2.2284509952956273e+40, 50, 2.2000000000000011, 0.0 }, | |
1450 | { 1.6938519751181172e+40, 50, 2.3000000000000007, 0.0 }, | |
1451 | { -1.1390080390575289e+40, 50, 2.4000000000000004, 0.0 }, | |
1452 | { -4.3715062488963453e+40, 50, 2.5000000000000000, 0.0 }, | |
1453 | { -4.4696811758713303e+40, 50, 2.6000000000000014, 0.0 }, | |
1454 | { 7.7733606479648733e+39, 50, 2.7000000000000011, 0.0 }, | |
1455 | { 8.8383035103558611e+40, 50, 2.8000000000000007, 0.0 }, | |
1456 | { 1.2025382369996052e+41, 50, 2.9000000000000004, 0.0 }, | |
1457 | { 2.6751882008697154e+40, 50, 3.0000000000000000, 0.0 }, | |
1458 | { -1.7764977066639554e+41, 50, 3.1000000000000014, 0.0 }, | |
1459 | { -3.3076282847915716e+41, 50, 3.2000000000000011, 0.0 }, | |
1460 | { -1.9358941418244260e+41, 50, 3.3000000000000007, 0.0 }, | |
1461 | { 3.2535765707283020e+41, 50, 3.4000000000000004, 0.0 }, | |
1462 | { 9.2055485763852770e+41, 50, 3.5000000000000000, 0.0 }, | |
1463 | { 8.8921371165333905e+41, 50, 3.6000000000000014, 0.0 }, | |
1464 | { -3.7818051510734018e+41, 50, 3.7000000000000011, 0.0 }, | |
1465 | { -2.5206461734624660e+42, 50, 3.8000000000000007, 0.0 }, | |
1466 | { -3.6202558158287927e+42, 50, 3.9000000000000004, 0.0 }, | |
1467 | { -9.5599640670553907e+41, 50, 4.0000000000000000, 0.0 }, | |
1468 | { 6.3349790205304773e+42, 50, 4.1000000000000014, 0.0 }, | |
1469 | { 1.3843548994480653e+43, 50, 4.2000000000000011, 0.0 }, | |
1470 | { 1.1214652543461340e+43, 50, 4.3000000000000007, 0.0 }, | |
1471 | { -1.1434943490345182e+43, 50, 4.4000000000000004, 0.0 }, | |
1472 | { -4.9181639709997461e+43, 50, 4.5000000000000000, 0.0 }, | |
1473 | { -6.8449168639700617e+43, 50, 4.6000000000000014, 0.0 }, | |
1474 | { -1.3078430866967542e+43, 50, 4.7000000000000011, 0.0 }, | |
1475 | { 1.4896819114978953e+44, 50, 4.8000000000000007, 0.0 }, | |
1476 | { 3.4169399444879600e+44, 50, 4.9000000000000004, 0.0 }, | |
1477 | { 3.1953926721271990e+44, 50, 5.0000000000000000, 0.0 }, | |
1478 | { -2.4845518743340037e+44, 50, 5.1000000000000014, 0.0 }, | |
1479 | { -1.4270495629649556e+45, 50, 5.2000000000000011, 0.0 }, | |
1480 | { -2.4465265559935458e+45, 50, 5.3000000000000007, 0.0 }, | |
1481 | { -1.3680638882145392e+45, 50, 5.4000000000000004, 0.0 }, | |
1482 | { 4.0920495328093750e+45, 50, 5.5000000000000000, 0.0 }, | |
1483 | { 1.3630554018676023e+46, 50, 5.6000000000000014, 0.0 }, | |
1484 | { 1.9676012349652035e+46, 50, 5.7000000000000011, 0.0 }, | |
1485 | { 4.6577356827460393e+45, 50, 5.8000000000000007, 0.0 }, | |
1486 | { -5.1482200905566146e+46, 50, 5.9000000000000004, 0.0 }, | |
1487 | { -1.4355266959903589e+47, 50, 6.0000000000000000, 0.0 }, | |
1488 | { -1.9304630401841966e+47, 50, 6.1000000000000014, 0.0 }, | |
1489 | { -1.1477672402384868e+46, 50, 6.1999999999999993, 0.0 }, | |
1490 | { 6.3834558285146981e+47, 50, 6.3000000000000007, 0.0 }, | |
1491 | { 1.7500305481204346e+48, 50, 6.4000000000000021, 0.0 }, | |
1492 | { 2.4709663739849681e+48, 50, 6.5000000000000000, 0.0 }, | |
1493 | { 4.2529238530171793e+47, 50, 6.6000000000000014, 0.0 }, | |
1494 | { -8.0684355476446876e+48, 50, 6.6999999999999993, 0.0 }, | |
1495 | { -2.4864980414057495e+49, 50, 6.8000000000000007, 0.0 }, | |
1496 | { -4.1428217272044745e+49, 50, 6.9000000000000021, 0.0 }, | |
1497 | { -2.4714855983436561e+49, 50, 7.0000000000000000, 0.0 }, | |
1498 | { 9.3178966245760310e+49, 50, 7.1000000000000014, 0.0 }, | |
1499 | { 3.9143899315095070e+50, 50, 7.1999999999999993, 0.0 }, | |
1500 | { 8.4241263694549925e+50, 50, 7.3000000000000007, 0.0 }, | |
1501 | { 1.0219511166806373e+51, 50, 7.4000000000000021, 0.0 }, | |
1502 | { -3.5808467693113330e+50, 50, 7.5000000000000000, 0.0 }, | |
1503 | { -5.7887622198710268e+51, 50, 7.6000000000000014, 0.0 }, | |
1504 | { -1.8076371748762319e+52, 50, 7.6999999999999993, 0.0 }, | |
1505 | { -3.5678031330023971e+52, 50, 7.8000000000000007, 0.0 }, | |
1506 | { -3.9982544106299987e+52, 50, 7.9000000000000021, 0.0 }, | |
1507 | { 2.9492797132685063e+52, 50, 8.0000000000000000, 0.0 }, | |
1508 | { 3.0699480272358086e+53, 50, 8.1000000000000014, 0.0 }, | |
1509 | { 1.0009712198862341e+54, 50, 8.1999999999999993, 0.0 }, | |
1510 | { 2.2368641272300899e+54, 50, 8.3000000000000007, 0.0 }, | |
1511 | { 3.4325365049909476e+54, 50, 8.4000000000000021, 0.0 }, | |
1512 | { 1.5935887905806307e+54, 50, 8.5000000000000000, 0.0 }, | |
1513 | { -1.2392013720948937e+55, 50, 8.6000000000000014, 0.0 }, | |
1514 | { -6.0082225302289557e+55, 50, 8.6999999999999993, 0.0 }, | |
1515 | { -1.8210771577645630e+56, 50, 8.8000000000000007, 0.0 }, | |
1516 | { -4.3145937406322482e+56, 50, 8.9000000000000021, 0.0 }, | |
1517 | { -8.0563930902368911e+56, 50, 9.0000000000000000, 0.0 }, | |
1518 | { -9.7863165370930194e+56, 50, 9.1000000000000014, 0.0 }, | |
1519 | { 5.3163209769540389e+56, 50, 9.2000000000000028, 0.0 }, | |
1520 | { 8.6500158470917270e+57, 50, 9.3000000000000007, 0.0 }, | |
1521 | { 3.7546881918013903e+58, 50, 9.4000000000000021, 0.0 }, | |
1522 | { 1.2454022521696361e+59, 50, 9.5000000000000000, 0.0 }, | |
1523 | { 3.6194312967780793e+59, 50, 9.6000000000000014, 0.0 }, | |
1524 | { 9.6739828066589016e+59, 50, 9.7000000000000028, 0.0 }, | |
1525 | { 2.4344814863741168e+60, 50, 9.8000000000000007, 0.0 }, | |
1526 | { 5.8466703062266974e+60, 50, 9.9000000000000021, 0.0 }, | |
1527 | { 1.3516643049819314e+61, 50, 10.000000000000000, 0.0 }, | |
2be75957 ESR |
1528 | }; |
1529 | const double toler007 = 2.5000000000000020e-13; | |
1530 | ||
1531 | // Test data for n=100. | |
b4688136 | 1532 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 |
2be75957 | 1533 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 |
b4688136 ESR |
1534 | // mean(f - f_GSL): 0.0000000000000000 |
1535 | // variance(f - f_GSL): 0.0000000000000000 | |
1536 | // stddev(f - f_GSL): 0.0000000000000000 | |
2be75957 ESR |
1537 | const testcase_hermite<double> |
1538 | data008[201] = | |
1539 | { | |
b4688136 ESR |
1540 | { -1.8738689223256612e+115, 100, -10.000000000000000, 0.0 }, |
1541 | { -4.4232904120311186e+114, 100, -9.9000000000000004, 0.0 }, | |
1542 | { 8.3761676654305186e+113, 100, -9.8000000000000007, 0.0 }, | |
1543 | { 9.4857435427570856e+113, 100, -9.6999999999999993, 0.0 }, | |
1544 | { 2.4904626130429828e+113, 100, -9.5999999999999996, 0.0 }, | |
1545 | { -4.2265051766934789e+112, 100, -9.5000000000000000, 0.0 }, | |
1546 | { -5.3374224541142079e+112, 100, -9.4000000000000004, 0.0 }, | |
1547 | { -1.3977488190034162e+112, 100, -9.3000000000000007, 0.0 }, | |
1548 | { 2.9686037583393142e+111, 100, -9.1999999999999993, 0.0 }, | |
1549 | { 3.3341330166544008e+111, 100, -9.0999999999999996, 0.0 }, | |
1550 | { 7.7294136683043515e+110, 100, -9.0000000000000000, 0.0 }, | |
1551 | { -2.6071876743328352e+110, 100, -8.9000000000000004, 0.0 }, | |
1552 | { -2.2669773300293168e+110, 100, -8.8000000000000007, 0.0 }, | |
1553 | { -3.8930624477368766e+109, 100, -8.6999999999999993, 0.0 }, | |
1554 | { 2.5386102824684956e+109, 100, -8.5999999999999996, 0.0 }, | |
1555 | { 1.6203702280499544e+109, 100, -8.5000000000000000, 0.0 }, | |
1556 | { 1.2481735250539652e+108, 100, -8.4000000000000004, 0.0 }, | |
1557 | { -2.5611278359589723e+108, 100, -8.3000000000000007, 0.0 }, | |
1558 | { -1.1534178973583771e+108, 100, -8.1999999999999993, 0.0 }, | |
1559 | { 8.4932594446954126e+106, 100, -8.0999999999999996, 0.0 }, | |
1560 | { 2.5761505535443451e+107, 100, -8.0000000000000000, 0.0 }, | |
1561 | { 7.3445622927437730e+106, 100, -7.9000000000000004, 0.0 }, | |
1562 | { -2.7252309851017323e+106, 100, -7.7999999999999998, 0.0 }, | |
1563 | { -2.4850432648123868e+106, 100, -7.6999999999999993, 0.0 }, | |
1564 | { -2.7486638813238851e+105, 100, -7.5999999999999996, 0.0 }, | |
1565 | { 4.4772364475394960e+105, 100, -7.5000000000000000, 0.0 }, | |
1566 | { 2.1375121759800508e+105, 100, -7.4000000000000004, 0.0 }, | |
1567 | { -2.9237691057265876e+104, 100, -7.2999999999999998, 0.0 }, | |
1568 | { -5.9348804074874565e+104, 100, -7.1999999999999993, 0.0 }, | |
1569 | { -1.2947583568692734e+104, 100, -7.0999999999999996, 0.0 }, | |
1570 | { 1.0002273523275075e+104, 100, -7.0000000000000000, 0.0 }, | |
1571 | { 6.4900499886057735e+103, 100, -6.9000000000000004, 0.0 }, | |
1572 | { -3.7817730019124298e+102, 100, -6.7999999999999998, 0.0 }, | |
1573 | { -1.7849709684883083e+103, 100, -6.6999999999999993, 0.0 }, | |
1574 | { -4.8039047085580619e+102, 100, -6.5999999999999996, 0.0 }, | |
1575 | { 3.2072472002047670e+102, 100, -6.5000000000000000, 0.0 }, | |
1576 | { 2.3341289432999226e+102, 100, -6.4000000000000004, 0.0 }, | |
1577 | { -1.4587350659146165e+101, 100, -6.2999999999999998, 0.0 }, | |
1578 | { -7.0672139150705246e+101, 100, -6.1999999999999993, 0.0 }, | |
1579 | { -1.8039133351601998e+101, 100, -6.0999999999999996, 0.0 }, | |
1580 | { 1.5170693933260738e+101, 100, -6.0000000000000000, 0.0 }, | |
1581 | { 1.0141407690966841e+101, 100, -5.8999999999999995, 0.0 }, | |
1582 | { -1.5140717605507886e+100, 100, -5.7999999999999998, 0.0 }, | |
1583 | { -3.6379102593330533e+100, 100, -5.7000000000000002, 0.0 }, | |
1584 | { -6.2933057672779134e+99, 100, -5.5999999999999996, 0.0 }, | |
1585 | { 9.9309186425970402e+99, 100, -5.5000000000000000, 0.0 }, | |
1586 | { 5.0935670879055936e+99, 100, -5.3999999999999995, 0.0 }, | |
1587 | { -1.8337906983006129e+99, 100, -5.2999999999999998, 0.0 }, | |
1588 | { -2.3096466887887237e+99, 100, -5.1999999999999993, 0.0 }, | |
1589 | { -4.0259235416602546e+97, 100, -5.0999999999999996, 0.0 }, | |
1590 | { 8.1931937130591466e+98, 100, -5.0000000000000000, 0.0 }, | |
1591 | { 2.5601172475776284e+98, 100, -4.8999999999999995, 0.0 }, | |
1592 | { -2.3193021196802698e+98, 100, -4.7999999999999998, 0.0 }, | |
1593 | { -1.6545238014142650e+98, 100, -4.6999999999999993, 0.0 }, | |
1594 | { 4.2440218943299170e+97, 100, -4.5999999999999996, 0.0 }, | |
1595 | { 7.8073853756187101e+97, 100, -4.5000000000000000, 0.0 }, | |
1596 | { 5.2136163919270720e+96, 100, -4.3999999999999995, 0.0 }, | |
1597 | { -3.0837503404959950e+97, 100, -4.2999999999999998, 0.0 }, | |
1598 | { -1.0988290456447506e+97, 100, -4.1999999999999993, 0.0 }, | |
1599 | { 1.0173847230741884e+97, 100, -4.0999999999999996, 0.0 }, | |
1600 | { 7.7070682747643550e+96, 100, -4.0000000000000000, 0.0 }, | |
1601 | { -2.3947326745293985e+96, 100, -3.8999999999999995, 0.0 }, | |
1602 | { -4.1993887070961596e+96, 100, -3.7999999999999998, 0.0 }, | |
1603 | { -5.5521768050503009e+94, 100, -3.6999999999999993, 0.0 }, | |
1604 | { 1.9852724296241180e+96, 100, -3.5999999999999996, 0.0 }, | |
1605 | { 5.7841213444838915e+95, 100, -3.5000000000000000, 0.0 }, | |
1606 | { -8.2433116644948985e+95, 100, -3.3999999999999995, 0.0 }, | |
1607 | { -5.2035951331058195e+95, 100, -3.2999999999999998, 0.0 }, | |
1608 | { 2.8212012454566478e+95, 100, -3.1999999999999993, 0.0 }, | |
1609 | { 3.5161870090563867e+95, 100, -3.0999999999999996, 0.0 }, | |
1610 | { -5.5084542871196523e+94, 100, -3.0000000000000000, 0.0 }, | |
1611 | { -2.0784160746797530e+95, 100, -2.8999999999999995, 0.0 }, | |
1612 | { -2.6058116248679496e+94, 100, -2.7999999999999998, 0.0 }, | |
1613 | { 1.1147132226581881e+95, 100, -2.6999999999999993, 0.0 }, | |
1614 | { 4.5607706742532875e+94, 100, -2.5999999999999996, 0.0 }, | |
1615 | { -5.3758761713337664e+94, 100, -2.5000000000000000, 0.0 }, | |
1616 | { -4.2303228932575310e+94, 100, -2.3999999999999995, 0.0 }, | |
1617 | { 2.1691501564685499e+94, 100, -2.2999999999999998, 0.0 }, | |
1618 | { 3.2602488340116774e+94, 100, -2.1999999999999993, 0.0 }, | |
1619 | { -5.0527155039787607e+93, 100, -2.0999999999999996, 0.0 }, | |
1620 | { -2.2785574311661325e+94, 100, -2.0000000000000000, 0.0 }, | |
1621 | { -2.8549527653152903e+93, 100, -1.9000000000000004, 0.0 }, | |
1622 | { 1.4787573463714434e+94, 100, -1.7999999999999989, 0.0 }, | |
1623 | { 6.0554070654771248e+93, 100, -1.6999999999999993, 0.0 }, | |
1624 | { -8.8496828346970978e+93, 100, -1.5999999999999996, 0.0 }, | |
1625 | { -6.8402151897169509e+93, 100, -1.5000000000000000, 0.0 }, | |
1626 | { 4.6555468819923166e+93, 100, -1.4000000000000004, 0.0 }, | |
1627 | { 6.4625437128322607e+93, 100, -1.2999999999999989, 0.0 }, | |
1628 | { -1.7820042440391653e+93, 100, -1.1999999999999993, 0.0 }, | |
1629 | { -5.5814393347235886e+93, 100, -1.0999999999999996, 0.0 }, | |
1630 | { -1.4487067293379347e+92, 100, -1.0000000000000000, 0.0 }, | |
1631 | { 4.5268398678911204e+93, 100, -0.90000000000000036, 0.0 }, | |
1632 | { 1.4120762149477404e+93, 100, -0.79999999999999893, 0.0 }, | |
1633 | { -3.4510765981144258e+93, 100, -0.69999999999999929, 0.0 }, | |
1634 | { -2.2242581581553176e+93, 100, -0.59999999999999964, 0.0 }, | |
1635 | { 2.4129827902061037e+93, 100, -0.50000000000000000, 0.0 }, | |
1636 | { 2.7195429139752020e+93, 100, -0.39999999999999858, 0.0 }, | |
1637 | { -1.4235309630837636e+93, 100, -0.29999999999999893, 0.0 }, | |
1638 | { -2.9850618739468043e+93, 100, -0.19999999999999929, 0.0 }, | |
1639 | { 4.7017027479251074e+92, 100, -0.099999999999999645, 0.0 }, | |
1640 | { 3.0685187562549660e+93, 100, 0.0000000000000000, 0.0 }, | |
1641 | { 4.7017027479243444e+92, 100, 0.10000000000000142, 0.0 }, | |
1642 | { -2.9850618739468293e+93, 100, 0.20000000000000107, 0.0 }, | |
1643 | { -1.4235309630836904e+93, 100, 0.30000000000000071, 0.0 }, | |
1644 | { 2.7195429139752497e+93, 100, 0.40000000000000036, 0.0 }, | |
1645 | { 2.4129827902061037e+93, 100, 0.50000000000000000, 0.0 }, | |
1646 | { -2.2242581581553936e+93, 100, 0.60000000000000142, 0.0 }, | |
1647 | { -3.4510765981143827e+93, 100, 0.70000000000000107, 0.0 }, | |
1648 | { 1.4120762149478435e+93, 100, 0.80000000000000071, 0.0 }, | |
1649 | { 4.5268398678911204e+93, 100, 0.90000000000000036, 0.0 }, | |
1650 | { -1.4487067293379347e+92, 100, 1.0000000000000000, 0.0 }, | |
1651 | { -5.5814393347236145e+93, 100, 1.1000000000000014, 0.0 }, | |
1652 | { -1.7820042440390210e+93, 100, 1.2000000000000011, 0.0 }, | |
1653 | { 6.4625437128323579e+93, 100, 1.3000000000000007, 0.0 }, | |
1654 | { 4.6555468819923166e+93, 100, 1.4000000000000004, 0.0 }, | |
1655 | { -6.8402151897169509e+93, 100, 1.5000000000000000, 0.0 }, | |
1656 | { -8.8496828346969644e+93, 100, 1.6000000000000014, 0.0 }, | |
1657 | { 6.0554070654774249e+93, 100, 1.7000000000000011, 0.0 }, | |
1658 | { 1.4787573463714363e+94, 100, 1.8000000000000007, 0.0 }, | |
1659 | { -2.8549527653152903e+93, 100, 1.9000000000000004, 0.0 }, | |
1660 | { -2.2785574311661325e+94, 100, 2.0000000000000000, 0.0 }, | |
1661 | { -5.0527155039780687e+93, 100, 2.1000000000000014, 0.0 }, | |
1662 | { 3.2602488340117204e+94, 100, 2.2000000000000011, 0.0 }, | |
1663 | { 2.1691501564685076e+94, 100, 2.3000000000000007, 0.0 }, | |
1664 | { -4.2303228932575769e+94, 100, 2.4000000000000004, 0.0 }, | |
1665 | { -5.3758761713337664e+94, 100, 2.5000000000000000, 0.0 }, | |
1666 | { 4.5607706742535083e+94, 100, 2.6000000000000014, 0.0 }, | |
1667 | { 1.1147132226581835e+95, 100, 2.7000000000000011, 0.0 }, | |
1668 | { -2.6058116248681564e+94, 100, 2.8000000000000007, 0.0 }, | |
1669 | { -2.0784160746797610e+95, 100, 2.9000000000000004, 0.0 }, | |
1670 | { -5.5084542871196523e+94, 100, 3.0000000000000000, 0.0 }, | |
1671 | { 3.5161870090564436e+95, 100, 3.1000000000000014, 0.0 }, | |
1672 | { 2.8212012454565588e+95, 100, 3.2000000000000011, 0.0 }, | |
1673 | { -5.2035951331058918e+95, 100, 3.3000000000000007, 0.0 }, | |
1674 | { -8.2433116644948570e+95, 100, 3.4000000000000004, 0.0 }, | |
1675 | { 5.7841213444838915e+95, 100, 3.5000000000000000, 0.0 }, | |
1676 | { 1.9852724296241191e+96, 100, 3.6000000000000014, 0.0 }, | |
1677 | { -5.5521768050576049e+94, 100, 3.7000000000000011, 0.0 }, | |
1678 | { -4.1993887070961795e+96, 100, 3.8000000000000007, 0.0 }, | |
1679 | { -2.3947326745293331e+96, 100, 3.9000000000000004, 0.0 }, | |
1680 | { 7.7070682747643550e+96, 100, 4.0000000000000000, 0.0 }, | |
1681 | { 1.0173847230741732e+97, 100, 4.1000000000000014, 0.0 }, | |
1682 | { -1.0988290456448056e+97, 100, 4.2000000000000011, 0.0 }, | |
1683 | { -3.0837503404959957e+97, 100, 4.3000000000000007, 0.0 }, | |
1684 | { 5.2136163919277588e+96, 100, 4.4000000000000004, 0.0 }, | |
1685 | { 7.8073853756187101e+97, 100, 4.5000000000000000, 0.0 }, | |
1686 | { 4.2440218943296749e+97, 100, 4.6000000000000014, 0.0 }, | |
1687 | { -1.6545238014143033e+98, 100, 4.7000000000000011, 0.0 }, | |
1688 | { -2.3193021196802549e+98, 100, 4.8000000000000007, 0.0 }, | |
1689 | { 2.5601172475776894e+98, 100, 4.9000000000000004, 0.0 }, | |
1690 | { 8.1931937130591466e+98, 100, 5.0000000000000000, 0.0 }, | |
1691 | { -4.0259235416636422e+97, 100, 5.1000000000000014, 0.0 }, | |
1692 | { -2.3096466887887553e+99, 100, 5.2000000000000011, 0.0 }, | |
1693 | { -1.8337906983005823e+99, 100, 5.3000000000000007, 0.0 }, | |
1694 | { 5.0935670879056567e+99, 100, 5.4000000000000004, 0.0 }, | |
1695 | { 9.9309186425970402e+99, 100, 5.5000000000000000, 0.0 }, | |
1696 | { -6.2933057672784165e+99, 100, 5.6000000000000014, 0.0 }, | |
1697 | { -3.6379102593330720e+100, 100, 5.7000000000000011, 0.0 }, | |
1698 | { -1.5140717605507249e+100, 100, 5.8000000000000007, 0.0 }, | |
1699 | { 1.0141407690966954e+101, 100, 5.9000000000000004, 0.0 }, | |
1700 | { 1.5170693933260738e+101, 100, 6.0000000000000000, 0.0 }, | |
1701 | { -1.8039133351602961e+101, 100, 6.1000000000000014, 0.0 }, | |
1702 | { -7.0672139150705246e+101, 100, 6.1999999999999993, 0.0 }, | |
1703 | { -1.4587350659144549e+101, 100, 6.3000000000000007, 0.0 }, | |
1704 | { 2.3341289432999758e+102, 100, 6.4000000000000021, 0.0 }, | |
1705 | { 3.2072472002047670e+102, 100, 6.5000000000000000, 0.0 }, | |
1706 | { -4.8039047085582927e+102, 100, 6.6000000000000014, 0.0 }, | |
1707 | { -1.7849709684883083e+103, 100, 6.6999999999999993, 0.0 }, | |
1708 | { -3.7817730019120996e+102, 100, 6.8000000000000007, 0.0 }, | |
1709 | { 6.4900499886059199e+103, 100, 6.9000000000000021, 0.0 }, | |
1710 | { 1.0002273523275075e+104, 100, 7.0000000000000000, 0.0 }, | |
1711 | { -1.2947583568693485e+104, 100, 7.1000000000000014, 0.0 }, | |
1712 | { -5.9348804074874565e+104, 100, 7.1999999999999993, 0.0 }, | |
1713 | { -2.9237691057264679e+104, 100, 7.3000000000000007, 0.0 }, | |
1714 | { 2.1375121759801080e+105, 100, 7.4000000000000021, 0.0 }, | |
1715 | { 4.4772364475394960e+105, 100, 7.5000000000000000, 0.0 }, | |
1716 | { -2.7486638813241244e+105, 100, 7.6000000000000014, 0.0 }, | |
1717 | { -2.4850432648123868e+106, 100, 7.6999999999999993, 0.0 }, | |
1718 | { -2.7252309851017070e+106, 100, 7.8000000000000007, 0.0 }, | |
1719 | { 7.3445622927440321e+106, 100, 7.9000000000000021, 0.0 }, | |
1720 | { 2.5761505535443451e+107, 100, 8.0000000000000000, 0.0 }, | |
1721 | { 8.4932594446944218e+106, 100, 8.1000000000000014, 0.0 }, | |
1722 | { -1.1534178973583771e+108, 100, 8.1999999999999993, 0.0 }, | |
1723 | { -2.5611278359589723e+108, 100, 8.3000000000000007, 0.0 }, | |
1724 | { 1.2481735250541195e+108, 100, 8.4000000000000021, 0.0 }, | |
1725 | { 1.6203702280499544e+109, 100, 8.5000000000000000, 0.0 }, | |
1726 | { 2.5386102824684747e+109, 100, 8.6000000000000014, 0.0 }, | |
1727 | { -3.8930624477368766e+109, 100, 8.6999999999999993, 0.0 }, | |
1728 | { -2.2669773300293168e+110, 100, 8.8000000000000007, 0.0 }, | |
1729 | { -2.6071876743327728e+110, 100, 8.9000000000000021, 0.0 }, | |
1730 | { 7.7294136683043515e+110, 100, 9.0000000000000000, 0.0 }, | |
1731 | { 3.3341330166544429e+111, 100, 9.1000000000000014, 0.0 }, | |
1732 | { 2.9686037583391038e+111, 100, 9.2000000000000028, 0.0 }, | |
1733 | { -1.3977488190034162e+112, 100, 9.3000000000000007, 0.0 }, | |
1734 | { -5.3374224541142660e+112, 100, 9.4000000000000021, 0.0 }, | |
1735 | { -4.2265051766934789e+112, 100, 9.5000000000000000, 0.0 }, | |
1736 | { 2.4904626130430740e+113, 100, 9.6000000000000014, 0.0 }, | |
1737 | { 9.4857435427573289e+113, 100, 9.7000000000000028, 0.0 }, | |
1738 | { 8.3761676654305186e+113, 100, 9.8000000000000007, 0.0 }, | |
1739 | { -4.4232904120312991e+114, 100, 9.9000000000000021, 0.0 }, | |
1740 | { -1.8738689223256612e+115, 100, 10.000000000000000, 0.0 }, | |
2be75957 ESR |
1741 | }; |
1742 | const double toler008 = 2.5000000000000020e-13; | |
b4688136 ESR |
1743 | // hermite |
1744 | ||
1745 | // Test data for n=8. | |
1746 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 | |
1747 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 | |
1748 | // mean(f - f_GSL): 0.0000000000000000 | |
1749 | // variance(f - f_GSL): 0.0000000000000000 | |
1750 | // stddev(f - f_GSL): 0.0000000000000000 | |
1751 | const testcase_hermite<double> | |
1752 | data009[9] = | |
1753 | { | |
1754 | { 5324432.0000000000, 8, 4.0000000000000000, 0.0 }, | |
1755 | { 279702672.00000000, 8, 6.0000000000000000, 0.0 }, | |
1756 | { 3409634960.0000000, 8, 8.0000000000000000, 0.0 }, | |
1757 | { 22149057680.000000, 8, 10.000000000000000, 0.0 }, | |
1758 | { 99650305680.000000, 8, 12.000000000000000, 0.0 }, | |
1759 | { 1040259450512.0000, 8, 16.000000000000000, 0.0 }, | |
1760 | { 6326369025680.0000, 8, 20.000000000000000, 0.0 }, | |
1761 | { 9944083966401680.0, 8, 50.000000000000000, 0.0 }, | |
1762 | { 2.5564173438656015e+18, 8, 100.00000000000000, 0.0 }, | |
1763 | }; | |
1764 | const double toler009 = 2.5000000000000020e-13; | |
1765 | ||
1766 | // Test data for n=18. | |
1767 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 | |
1768 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 | |
1769 | // mean(f - f_GSL): 0.0000000000000000 | |
1770 | // variance(f - f_GSL): 0.0000000000000000 | |
1771 | // stddev(f - f_GSL): 0.0000000000000000 | |
1772 | const testcase_hermite<double> | |
1773 | data010[9] = | |
1774 | { | |
1775 | { 54268892282368.000, 18, 4.0000000000000000, 0.0 }, | |
1776 | { 1.3505976034605665e+18, 18, 6.0000000000000000, 0.0 }, | |
1777 | { 1.1719308290279925e+21, 18, 8.0000000000000000, 0.0 }, | |
1778 | { 1.1336099533194677e+23, 18, 10.000000000000000, 0.0 }, | |
1779 | { 3.9670688759298557e+24, 18, 12.000000000000000, 0.0 }, | |
1780 | { 9.0887304967960375e+26, 18, 16.000000000000000, 0.0 }, | |
1781 | { 5.6525959758874797e+28, 18, 20.000000000000000, 0.0 }, | |
1782 | { 9.6976497965812384e+35, 18, 50.000000000000000, 0.0 }, | |
1783 | { 2.6014460548774723e+41, 18, 100.00000000000000, 0.0 }, | |
1784 | }; | |
1785 | const double toler010 = 2.5000000000000020e-13; | |
1786 | ||
1787 | // Test data for n=32. | |
1788 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 | |
1789 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 | |
1790 | // mean(f - f_GSL): 0.0000000000000000 | |
1791 | // variance(f - f_GSL): 0.0000000000000000 | |
1792 | // stddev(f - f_GSL): 0.0000000000000000 | |
1793 | const testcase_hermite<double> | |
1794 | data011[9] = | |
1795 | { | |
1796 | { 3.4488006171532706e+25, 32, 4.0000000000000000, 0.0 }, | |
1797 | { 8.6646829675369123e+29, 32, 6.0000000000000000, 0.0 }, | |
1798 | { 1.2445939522057109e+36, 32, 8.0000000000000000, 0.0 }, | |
1799 | { 2.1381589300683108e+40, 32, 10.000000000000000, 0.0 }, | |
1800 | { 2.0979395756455302e+43, 32, 12.000000000000000, 0.0 }, | |
1801 | { 5.2024646069361253e+47, 32, 16.000000000000000, 0.0 }, | |
1802 | { 9.6759233738497726e+50, 32, 20.000000000000000, 0.0 }, | |
1803 | { 9.0500820467530134e+63, 32, 50.000000000000000, 0.0 }, | |
1804 | { 4.1896031916819710e+73, 32, 100.00000000000000, 0.0 }, | |
1805 | }; | |
1806 | const double toler011 = 2.5000000000000020e-13; | |
1807 | ||
1808 | // Test data for n=50. | |
1809 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 | |
1810 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 | |
1811 | // mean(f - f_GSL): 0.0000000000000000 | |
1812 | // variance(f - f_GSL): 0.0000000000000000 | |
1813 | // stddev(f - f_GSL): 0.0000000000000000 | |
1814 | const testcase_hermite<double> | |
1815 | data012[9] = | |
1816 | { | |
1817 | { -9.5599640670553907e+41, 50, 4.0000000000000000, 0.0 }, | |
1818 | { -1.4355266959903589e+47, 50, 6.0000000000000000, 0.0 }, | |
1819 | { 2.9492797132685063e+52, 50, 8.0000000000000000, 0.0 }, | |
1820 | { 1.3516643049819314e+61, 50, 10.000000000000000, 0.0 }, | |
1821 | { 5.1746552169783233e+66, 50, 12.000000000000000, 0.0 }, | |
1822 | { 1.2608506104917666e+74, 50, 16.000000000000000, 0.0 }, | |
1823 | { 2.4719364545684313e+79, 50, 20.000000000000000, 0.0 }, | |
1824 | { 7.8081628444405771e+99, 50, 50.000000000000000, 0.0 }, | |
1825 | { 1.0588500951956526e+115, 50, 100.00000000000000, 0.0 }, | |
1826 | }; | |
1827 | const double toler012 = 2.5000000000000020e-13; | |
1828 | ||
1829 | // Test data for n=72. | |
1830 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 | |
1831 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 | |
1832 | // mean(f - f_GSL): 0.0000000000000000 | |
1833 | // variance(f - f_GSL): 0.0000000000000000 | |
1834 | // stddev(f - f_GSL): 0.0000000000000000 | |
1835 | const testcase_hermite<double> | |
1836 | data013[9] = | |
1837 | { | |
1838 | { -5.0016344249093296e+65, 72, 4.0000000000000000, 0.0 }, | |
1839 | { 1.1604343420664594e+70, 72, 6.0000000000000000, 0.0 }, | |
1840 | { 1.1307673578364519e+76, 72, 8.0000000000000000, 0.0 }, | |
1841 | { -6.9227458950910379e+83, 72, 10.000000000000000, 0.0 }, | |
1842 | { 4.2761121656851757e+93, 72, 12.000000000000000, 0.0 }, | |
1843 | { 6.4057452391049260e+105, 72, 16.000000000000000, 0.0 }, | |
1844 | { 6.5532144335168848e+113, 72, 20.000000000000000, 0.0 }, | |
1845 | { 5.9536449994832570e+143, 72, 50.000000000000000, 0.0 }, | |
1846 | { 4.1539384208364770e+165, 72, 100.00000000000000, 0.0 }, | |
1847 | }; | |
1848 | const double toler013 = 2.5000000000000020e-13; | |
1849 | ||
1850 | // Test data for n=128. | |
1851 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 | |
1852 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 | |
1853 | // mean(f - f_GSL): 0.0000000000000000 | |
1854 | // variance(f - f_GSL): 0.0000000000000000 | |
1855 | // stddev(f - f_GSL): 0.0000000000000000 | |
1856 | const testcase_hermite<double> | |
1857 | data014[9] = | |
1858 | { | |
1859 | { 7.4843015969363893e+129, 128, 4.0000000000000000, 0.0 }, | |
1860 | { 1.9427207779012687e+134, 128, 6.0000000000000000, 0.0 }, | |
1861 | { -2.5332076374233721e+140, 128, 8.0000000000000000, 0.0 }, | |
1862 | { -3.6481920485874574e+146, 128, 10.000000000000000, 0.0 }, | |
1863 | { -6.6019131304361279e+157, 128, 12.000000000000000, 0.0 }, | |
1864 | { 1.7909969314519483e+182, 128, 16.000000000000000, 0.0 }, | |
1865 | { 4.6773285529590986e+199, 128, 20.000000000000000, 0.0 }, | |
1866 | { 1.8851953794407319e+255, 128, 50.000000000000000, 0.0 }, | |
1867 | { 2.2605490449873036e+294, 128, 100.00000000000000, 0.0 }, | |
1868 | }; | |
1869 | const double toler014 = 2.5000000000000020e-13; | |
1870 | ||
1871 | // Divergence at n=200 x=50.000000000000000 f=-nan f_GSL=inf | |
1872 | // Divergence at n=200 x=100.00000000000000 f=-nan f_GSL=inf | |
1873 | // Divergence at n=200 x=100.00000000000000 f=-nan f_GSL=inf | |
1874 | // Test data for n=200. | |
1875 | // max(|f - f_GSL|): 0.0000000000000000 at index 0 | |
1876 | // max(|f - f_GSL| / |f_GSL|): 0.0000000000000000 | |
1877 | // mean(f - f_GSL): 0.0000000000000000 | |
1878 | // variance(f - f_GSL): 0.0000000000000000 | |
1879 | // stddev(f - f_GSL): 0.0000000000000000 | |
1880 | const testcase_hermite<double> | |
1881 | data015[7] = | |
1882 | { | |
1883 | { -1.3224398396684072e+220, 200, 4.0000000000000000, 0.0 }, | |
1884 | { 2.8108557561597729e+224, 200, 6.0000000000000000, 0.0 }, | |
1885 | { 2.2034127668580903e+230, 200, 8.0000000000000000, 0.0 }, | |
1886 | { -4.7005387186273384e+238, 200, 10.000000000000000, 0.0 }, | |
1887 | { 6.8125674650192333e+247, 200, 12.000000000000000, 0.0 }, | |
1888 | { 2.8932855639383936e+272, 200, 16.000000000000000, 0.0 }, | |
1889 | { 9.8757526545830183e+303, 200, 20.000000000000000, 0.0 }, | |
1890 | }; | |
1891 | const double toler015 = 2.5000000000000020e-13; | |
2be75957 | 1892 | |
b4688136 ESR |
1893 | // Divergence at n=1250 x=4.0000000000000000 f=-nan f_GSL=-inf |
1894 | // Divergence at n=1250 x=6.0000000000000000 f=-nan f_GSL=inf | |
1895 | // Divergence at n=1250 x=8.0000000000000000 f=-nan f_GSL=inf | |
1896 | // ... | |
1897 | // Divergence at n=1250 x=100.00000000000000 f=-nan f_GSL=inf | |
1898 | // Divergence at n=5000 x=4.0000000000000000 f=-nan f_GSL=-inf | |
1899 | // Divergence at n=5000 x=6.0000000000000000 f=-nan f_GSL=-inf | |
1900 | // Divergence at n=5000 x=8.0000000000000000 f=-nan f_GSL=inf | |
1901 | // ... | |
1902 | // Divergence at n=5000 x=100.00000000000000 f=-nan f_GSL=inf | |
1903 | template<typename Ret, unsigned int Num> | |
2be75957 | 1904 | void |
b4688136 | 1905 | test(const testcase_hermite<Ret> (&data)[Num], Ret toler) |
2be75957 | 1906 | { |
b4688136 ESR |
1907 | bool test __attribute__((unused)) = true; |
1908 | const Ret eps = std::numeric_limits<Ret>::epsilon(); | |
1909 | Ret max_abs_diff = -Ret(1); | |
1910 | Ret max_abs_frac = -Ret(1); | |
2be75957 ESR |
1911 | unsigned int num_datum = Num; |
1912 | for (unsigned int i = 0; i < num_datum; ++i) | |
1913 | { | |
b4688136 ESR |
1914 | const Ret f = std::hermite(data[i].n, data[i].x); |
1915 | const Ret f0 = data[i].f0; | |
1916 | const Ret diff = f - f0; | |
2be75957 ESR |
1917 | if (std::abs(diff) > max_abs_diff) |
1918 | max_abs_diff = std::abs(diff); | |
b4688136 ESR |
1919 | if (std::abs(f0) > Ret(10) * eps |
1920 | && std::abs(f) > Ret(10) * eps) | |
2be75957 | 1921 | { |
b4688136 | 1922 | const Ret frac = diff / f0; |
2be75957 ESR |
1923 | if (std::abs(frac) > max_abs_frac) |
1924 | max_abs_frac = std::abs(frac); | |
1925 | } | |
1926 | } | |
1927 | VERIFY(max_abs_frac < toler); | |
1928 | } | |
1929 | ||
1930 | int | |
1931 | main() | |
1932 | { | |
1933 | test(data001, toler001); | |
1934 | test(data002, toler002); | |
1935 | test(data003, toler003); | |
1936 | test(data004, toler004); | |
1937 | test(data005, toler005); | |
1938 | test(data006, toler006); | |
1939 | test(data007, toler007); | |
1940 | test(data008, toler008); | |
b4688136 ESR |
1941 | test(data009, toler009); |
1942 | test(data010, toler010); | |
1943 | test(data011, toler011); | |
1944 | test(data012, toler012); | |
1945 | test(data013, toler013); | |
1946 | test(data014, toler014); | |
1947 | test(data015, toler015); | |
2be75957 ESR |
1948 | return 0; |
1949 | } |