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git.ipfire.org Git - thirdparty/gcc.git/blob - libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/15_expint/check_value_neg.cc
1 // { dg-do run { target c++11 } }
2 // { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
4 // Copyright (C) 2016-2020 Free Software Foundation, Inc.
6 // This file is part of the GNU ISO C++ Library. This library is free
7 // software; you can redistribute it and/or modify it under the
8 // terms of the GNU General Public License as published by the
9 // Free Software Foundation; either version 3, or (at your option)
12 // This library is distributed in the hope that it will be useful,
13 // but WITHOUT ANY WARRANTY; without even the implied warranty of
14 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 // GNU General Public License for more details.
17 // You should have received a copy of the GNU General Public License along
18 // with this library; see the file COPYING3. If not see
19 // <http://www.gnu.org/licenses/>.
23 // Compare against values generated by the GNU Scientific Library.
24 // The GSL can be found on the web: http://www.gnu.org/software/gsl/
27 #if defined(__TEST_DEBUG)
32 std::cout << "line " << __LINE__ \
33 << " max_abs_frac = " << max_abs_frac \
37 # include <testsuite_hooks.h>
39 #include <specfun_testcase.h>
42 // max(|f - f_GSL|): 4.9960036108132044e-16 at index 49
43 // max(|f - f_GSL| / |f_GSL|): 2.2772878171680836e-15
44 // mean(f - f_GSL): 1.1295166444684511e-17
45 // variance(f - f_GSL): 4.9654719514602855e-33
46 // stddev(f - f_GSL): 7.0466104982894328e-17
47 const testcase_expint
<double>
50 { -3.7832640295504591e-24, -50.000000000000000, 0.0 },
51 { -1.0489811642368024e-23, -49.000000000000000, 0.0 },
52 { -2.9096641904058423e-23, -48.000000000000000, 0.0 },
53 { -8.0741978427258127e-23, -47.000000000000000, 0.0 },
54 { -2.2415317597442998e-22, -46.000000000000000, 0.0 },
55 { -6.2256908094623848e-22, -45.000000000000000, 0.0 },
56 { -1.7299598742816476e-21, -44.000000000000000, 0.0 },
57 { -4.8094965569500181e-21, -43.000000000000000, 0.0 },
58 { -1.3377908810011775e-20, -42.000000000000000, 0.0 },
59 { -3.7231667764599780e-20, -41.000000000000000, 0.0 },
60 { -1.0367732614516570e-19, -40.000000000000000, 0.0 },
61 { -2.8887793015227007e-19, -39.000000000000000, 0.0 },
62 { -8.0541069142907499e-19, -38.000000000000000, 0.0 },
63 { -2.2470206975885710e-18, -37.000000000000000, 0.0 },
64 { -6.2733390097622421e-18, -36.000000000000000, 0.0 },
65 { -1.7527059389947371e-17, -35.000000000000000, 0.0 },
66 { -4.9006761183927874e-17, -34.000000000000000, 0.0 },
67 { -1.3713843484487468e-16, -33.000000000000000, 0.0 },
68 { -3.8409618012250671e-16, -32.000000000000000, 0.0 },
69 { -1.0767670386162381e-15, -31.000000000000000, 0.0 },
70 { -3.0215520106888124e-15, -30.000000000000000, 0.0 },
71 { -8.4877597783535634e-15, -29.000000000000000, 0.0 },
72 { -2.3869415119337330e-14, -28.000000000000000, 0.0 },
73 { -6.7206374352620390e-14, -27.000000000000000, 0.0 },
74 { -1.8946858856749785e-13, -26.000000000000000, 0.0 },
75 { -5.3488997553402167e-13, -25.000000000000000, 0.0 },
76 { -1.5123058939997059e-12, -24.000000000000000, 0.0 },
77 { -4.2826847956656722e-12, -23.000000000000000, 0.0 },
78 { -1.2149378956204371e-11, -22.000000000000000, 0.0 },
79 { -3.4532012671467559e-11, -21.000000000000000, 0.0 },
80 { -9.8355252906498815e-11, -20.000000000000000, 0.0 },
81 { -2.8078290970607954e-10, -19.000000000000000, 0.0 },
82 { -8.0360903448286769e-10, -18.000000000000000, 0.0 },
83 { -2.3064319898216543e-09, -17.000000000000000, 0.0 },
84 { -6.6404872494410427e-09, -16.000000000000000, 0.0 },
85 { -1.9186278921478670e-08, -15.000000000000000, 0.0 },
86 { -5.5656311111451816e-08, -14.000000000000000, 0.0 },
87 { -1.6218662188014328e-07, -13.000000000000000, 0.0 },
88 { -4.7510818246724931e-07, -12.000000000000000, 0.0 },
89 { -1.4003003042474418e-06, -11.000000000000000, 0.0 },
90 { -4.1569689296853246e-06, -10.000000000000000, 0.0 },
91 { -1.2447354178006272e-05, -9.0000000000000000, 0.0 },
92 { -3.7665622843924906e-05, -8.0000000000000000, 0.0 },
93 { -0.00011548173161033820, -7.0000000000000000, 0.0 },
94 { -0.00036008245216265862, -6.0000000000000000, 0.0 },
95 { -0.0011482955912753257, -5.0000000000000000, 0.0 },
96 { -0.0037793524098489063, -4.0000000000000000, 0.0 },
97 { -0.013048381094197037, -3.0000000000000000, 0.0 },
98 { -0.048900510708061125, -2.0000000000000000, 0.0 },
99 { -0.21938393439552029, -1.0000000000000000, 0.0 },
101 const double toler001
= 2.5000000000000020e-13;
106 // max(|f - f_GSL|): 16384.000000000000 at index 48
107 // max(|f - f_GSL| / |f_GSL|): 1.2494807514688476e-15
108 // mean(f - f_GSL): 371.15283351771996
109 // variance(f - f_GSL): inf
110 // stddev(f - f_GSL): 7.1444587641577012e+253
111 const testcase_expint
<double>
114 { 1.8951178163559366, 1.0000000000000000, 0.0 },
115 { 4.9542343560018907, 2.0000000000000000, 0.0 },
116 { 9.9338325706254160, 3.0000000000000000, 0.0 },
117 { 19.630874470056217, 4.0000000000000000, 0.0 },
118 { 40.185275355803178, 5.0000000000000000, 0.0 },
119 { 85.989762142439204, 6.0000000000000000, 0.0 },
120 { 191.50474333550136, 7.0000000000000000, 0.0 },
121 { 440.37989953483833, 8.0000000000000000, 0.0 },
122 { 1037.8782907170896, 9.0000000000000000, 0.0 },
123 { 2492.2289762418782, 10.000000000000000, 0.0 },
124 { 6071.4063740986112, 11.000000000000000, 0.0 },
125 { 14959.532666397528, 12.000000000000000, 0.0 },
126 { 37197.688490689041, 13.000000000000000, 0.0 },
127 { 93192.513633965369, 14.000000000000000, 0.0 },
128 { 234955.85249076830, 15.000000000000000, 0.0 },
129 { 595560.99867083691, 16.000000000000000, 0.0 },
130 { 1516637.8940425171, 17.000000000000000, 0.0 },
131 { 3877904.3305974435, 18.000000000000000, 0.0 },
132 { 9950907.2510468438, 19.000000000000000, 0.0 },
133 { 25615652.664056588, 20.000000000000000, 0.0 },
134 { 66127186.355484933, 21.000000000000000, 0.0 },
135 { 171144671.30036369, 22.000000000000000, 0.0 },
136 { 443966369.83027118, 23.000000000000000, 0.0 },
137 { 1154115391.8491828, 24.000000000000000, 0.0 },
138 { 3005950906.5255494, 25.000000000000000, 0.0 },
139 { 7842940991.8981876, 26.000000000000000, 0.0 },
140 { 20496497119.880810, 27.000000000000000, 0.0 },
141 { 53645118592.314682, 28.000000000000000, 0.0 },
142 { 140599195758.40689, 29.000000000000000, 0.0 },
143 { 368973209407.27417, 30.000000000000000, 0.0 },
144 { 969455575968.39392, 31.000000000000000, 0.0 },
145 { 2550043566357.7871, 32.000000000000000, 0.0 },
146 { 6714640184076.4971, 33.000000000000000, 0.0 },
147 { 17698037244116.266, 34.000000000000000, 0.0 },
148 { 46690550144661.602, 35.000000000000000, 0.0 },
149 { 123285207991209.75, 36.000000000000000, 0.0 },
150 { 325798899867226.50, 37.000000000000000, 0.0 },
151 { 861638819996578.75, 38.000000000000000, 0.0 },
152 { 2280446200301902.5, 39.000000000000000, 0.0 },
153 { 6039718263611242.0, 40.000000000000000, 0.0 },
154 { 16006649143245042., 41.000000000000000, 0.0 },
155 { 42447960921368512., 42.000000000000000, 0.0 },
156 { 1.1263482901669666e+17, 43.000000000000000, 0.0 },
157 { 2.9904447186323366e+17, 44.000000000000000, 0.0 },
158 { 7.9439160357044531e+17, 45.000000000000000, 0.0 },
159 { 2.1113423886478239e+18, 46.000000000000000, 0.0 },
160 { 5.6143296808103424e+18, 47.000000000000000, 0.0 },
161 { 1.4936302131129930e+19, 48.000000000000000, 0.0 },
162 { 3.9754427479037444e+19, 49.000000000000000, 0.0 },
163 { 1.0585636897131690e+20, 50.000000000000000, 0.0 },
165 const double toler002
= 2.5000000000000020e-13;
167 template<typename Ret
, unsigned int Num
>
169 test(const testcase_expint
<Ret
> (&data
)[Num
], Ret toler
)
171 bool test
__attribute__((unused
)) = true;
172 const Ret eps
= std::numeric_limits
<Ret
>::epsilon();
173 Ret max_abs_diff
= -Ret(1);
174 Ret max_abs_frac
= -Ret(1);
175 unsigned int num_datum
= Num
;
176 for (unsigned int i
= 0; i
< num_datum
; ++i
)
178 const Ret f
= std::tr1::expint(data
[i
].x
);
179 const Ret f0
= data
[i
].f0
;
180 const Ret diff
= f
- f0
;
181 if (std::abs(diff
) > max_abs_diff
)
182 max_abs_diff
= std::abs(diff
);
183 if (std::abs(f0
) > Ret(10) * eps
184 && std::abs(f
) > Ret(10) * eps
)
186 const Ret frac
= diff
/ f0
;
187 if (std::abs(frac
) > max_abs_frac
)
188 max_abs_frac
= std::abs(frac
);
191 VERIFY(max_abs_frac
< toler
);
197 test(data001
, toler001
);
198 test(data002
, toler002
);