| // 2007-02-04 Edward Smith-Rowland <3dw4rd@verizon.net> |
| // |
| // Copyright (C) 2007-2014 Free Software Foundation, Inc. |
| // |
| // This file is part of the GNU ISO C++ Library. This library is free |
| // software; you can redistribute it and/or modify it under the |
| // terms of the GNU General Public License as published by the |
| // Free Software Foundation; either version 3, or (at your option) |
| // any later version. |
| // |
| // This library is distributed in the hope that it will be useful, |
| // but WITHOUT ANY WARRANTY; without even the implied warranty of |
| // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| // GNU General Public License for more details. |
| // |
| // You should have received a copy of the GNU General Public License along |
| // with this library; see the file COPYING3. If not see |
| // <http://www.gnu.org/licenses/>. |
| |
| // expint |
| |
| |
| // Compare against values generated by the GNU Scientific Library. |
| // The GSL can be found on the web: http://www.gnu.org/software/gsl/ |
| |
| #include <tr1/cmath> |
| #if defined(__TEST_DEBUG) |
| #include <iostream> |
| #define VERIFY(A) \ |
| if (!(A)) \ |
| { \ |
| std::cout << "line " << __LINE__ \ |
| << " max_abs_frac = " << max_abs_frac \ |
| << std::endl; \ |
| } |
| #else |
| #include <testsuite_hooks.h> |
| #endif |
| #include "../testcase.h" |
| |
| |
| // Test data. |
| testcase_expint<double> data001[] = { |
| { 1.8951178163559366, 1.0000000000000000 }, |
| { 4.9542343560018907, 2.0000000000000000 }, |
| { 9.9338325706254160, 3.0000000000000000 }, |
| { 19.630874470056217, 4.0000000000000000 }, |
| { 40.185275355803178, 5.0000000000000000 }, |
| { 85.989762142439204, 6.0000000000000000 }, |
| { 191.50474333550139, 7.0000000000000000 }, |
| { 440.37989953483827, 8.0000000000000000 }, |
| { 1037.8782907170896, 9.0000000000000000 }, |
| { 2492.2289762418782, 10.000000000000000 }, |
| { 6071.4063740986112, 11.000000000000000 }, |
| { 14959.532666397527, 12.000000000000000 }, |
| { 37197.688490689041, 13.000000000000000 }, |
| { 93192.513633965369, 14.000000000000000 }, |
| { 234955.85249076830, 15.000000000000000 }, |
| { 595560.99867083703, 16.000000000000000 }, |
| { 1516637.8940425171, 17.000000000000000 }, |
| { 3877904.3305974435, 18.000000000000000 }, |
| { 9950907.2510468438, 19.000000000000000 }, |
| { 25615652.664056588, 20.000000000000000 }, |
| { 66127186.355484918, 21.000000000000000 }, |
| { 171144671.30036369, 22.000000000000000 }, |
| { 443966369.83027118, 23.000000000000000 }, |
| { 1154115391.8491828, 24.000000000000000 }, |
| { 3005950906.5255489, 25.000000000000000 }, |
| { 7842940991.8981876, 26.000000000000000 }, |
| { 20496497119.880810, 27.000000000000000 }, |
| { 53645118592.314682, 28.000000000000000 }, |
| { 140599195758.40689, 29.000000000000000 }, |
| { 368973209407.27423, 30.000000000000000 }, |
| { 969455575968.39392, 31.000000000000000 }, |
| { 2550043566357.7866, 32.000000000000000 }, |
| { 6714640184076.4980, 33.000000000000000 }, |
| { 17698037244116.266, 34.000000000000000 }, |
| { 46690550144661.594, 35.000000000000000 }, |
| { 123285207991209.75, 36.000000000000000 }, |
| { 325798899867226.44, 37.000000000000000 }, |
| { 861638819996578.62, 38.000000000000000 }, |
| { 2280446200301902.5, 39.000000000000000 }, |
| { 6039718263611242.0, 40.000000000000000 }, |
| { 16006649143245042., 41.000000000000000 }, |
| { 42447960921368504., 42.000000000000000 }, |
| { 1.1263482901669667e+17, 43.000000000000000 }, |
| { 2.9904447186323366e+17, 44.000000000000000 }, |
| { 7.9439160357044531e+17, 45.000000000000000 }, |
| { 2.1113423886478239e+18, 46.000000000000000 }, |
| { 5.6143296808103434e+18, 47.000000000000000 }, |
| { 1.4936302131129930e+19, 48.000000000000000 }, |
| { 3.9754427479037444e+19, 49.000000000000000 }, |
| { 1.0585636897131690e+20, 50.000000000000000 }, |
| }; |
| |
| // Test function. |
| template <typename Tp> |
| void test001() |
| { |
| const Tp eps = std::numeric_limits<Tp>::epsilon(); |
| Tp max_abs_diff = -Tp(1); |
| Tp max_abs_frac = -Tp(1); |
| unsigned int num_datum = sizeof(data001) |
| / sizeof(testcase_expint<double>); |
| for (unsigned int i = 0; i < num_datum; ++i) |
| { |
| const Tp f = std::tr1::expint(Tp(data001[i].x)); |
| const Tp f0 = data001[i].f0; |
| const Tp diff = f - f0; |
| if (std::abs(diff) > max_abs_diff) |
| max_abs_diff = std::abs(diff); |
| if (std::abs(f0) > Tp(10) * eps |
| && std::abs(f) > Tp(10) * eps) |
| { |
| const Tp frac = diff / f0; |
| if (std::abs(frac) > max_abs_frac) |
| max_abs_frac = std::abs(frac); |
| } |
| } |
| VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); |
| } |
| |
| int main(int, char**) |
| { |
| test001<double>(); |
| return 0; |
| } |