| // 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/>. |
| |
| // comp_ellint_1 |
| |
| |
| // 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_comp_ellint_1<double> data001[] = { |
| { 2.2805491384227703, -0.90000000000000002 }, |
| { 1.9953027776647296, -0.80000000000000004 }, |
| { 1.8456939983747236, -0.69999999999999996 }, |
| { 1.7507538029157526, -0.59999999999999998 }, |
| { 1.6857503548125963, -0.50000000000000000 }, |
| { 1.6399998658645112, -0.40000000000000002 }, |
| { 1.6080486199305126, -0.30000000000000004 }, |
| { 1.5868678474541664, -0.19999999999999996 }, |
| { 1.5747455615173562, -0.099999999999999978 }, |
| { 1.5707963267948966, 0.0000000000000000 }, |
| { 1.5747455615173562, 0.10000000000000009 }, |
| { 1.5868678474541664, 0.19999999999999996 }, |
| { 1.6080486199305126, 0.30000000000000004 }, |
| { 1.6399998658645112, 0.39999999999999991 }, |
| { 1.6857503548125963, 0.50000000000000000 }, |
| { 1.7507538029157526, 0.60000000000000009 }, |
| { 1.8456939983747236, 0.69999999999999996 }, |
| { 1.9953027776647296, 0.80000000000000004 }, |
| { 2.2805491384227699, 0.89999999999999991 }, |
| }; |
| |
| // 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_comp_ellint_1<double>); |
| for (unsigned int i = 0; i < num_datum; ++i) |
| { |
| const Tp f = std::tr1::comp_ellint_1(Tp(data001[i].k)); |
| 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; |
| } |