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jeremybenn |
// 2007-02-04 Edward Smith-Rowland <3dw4rd@verizon.net>
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//
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// Copyright (C) 2007, 2009 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 3, or (at your option)
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// any later version.
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//
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License along
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// with this library; see the file COPYING3. If not see
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// <http://www.gnu.org/licenses/>.
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// comp_ellint_3
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// Compare against values generated by the GNU Scientific Library.
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// The GSL can be found on the web: http://www.gnu.org/software/gsl/
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#include <tr1/cmath>
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#if defined(__TEST_DEBUG)
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#include <iostream>
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#define VERIFY(A) \
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if (!(A)) \
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{ \
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std::cout << "line " << __LINE__ \
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<< " max_abs_frac = " << max_abs_frac \
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<< std::endl; \
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}
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#else
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#include <testsuite_hooks.h>
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#endif
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#include "../testcase.h"
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// Test data for k=-0.90000000000000002.
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testcase_comp_ellint_3<double> data001[] = {
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{ 2.2805491384227703, -0.90000000000000002, 0.0000000000000000 },
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{ 2.1537868513875287, -0.90000000000000002, 0.10000000000000001 },
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{ 2.0443194576468890, -0.90000000000000002, 0.20000000000000001 },
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{ 1.9486280260314426, -0.90000000000000002, 0.29999999999999999 },
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{ 1.8641114227238349, -0.90000000000000002, 0.40000000000000002 },
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{ 1.7888013241937861, -0.90000000000000002, 0.50000000000000000 },
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{ 1.7211781128919523, -0.90000000000000002, 0.59999999999999998 },
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{ 1.6600480747670938, -0.90000000000000002, 0.69999999999999996 },
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{ 1.6044591960982204, -0.90000000000000002, 0.80000000000000004 },
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{ 1.5536420236310946, -0.90000000000000002, 0.90000000000000002 },
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};
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// Test function for k=-0.90000000000000002.
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template <typename Tp>
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void test001()
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{
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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unsigned int num_datum = sizeof(data001)
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/ sizeof(testcase_comp_ellint_3<double>);
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for (unsigned int i = 0; i < num_datum; ++i)
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{
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const Tp f = std::tr1::comp_ellint_3(Tp(data001[i].k), Tp(data001[i].nu));
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const Tp f0 = data001[i].f0;
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const Tp diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Tp(10) * eps
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&& std::abs(f) > Tp(10) * eps)
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{
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const Tp frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
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}
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// Test data for k=-0.80000000000000004.
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testcase_comp_ellint_3<double> data002[] = {
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{ 1.9953027776647296, -0.80000000000000004, 0.0000000000000000 },
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{ 1.8910755418379521, -0.80000000000000004, 0.10000000000000001 },
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{ 1.8007226661734588, -0.80000000000000004, 0.20000000000000001 },
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{ 1.7214611048717301, -0.80000000000000004, 0.29999999999999999 },
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{ 1.6512267838651289, -0.80000000000000004, 0.40000000000000002 },
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{ 1.5884528947755532, -0.80000000000000004, 0.50000000000000000 },
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{ 1.5319262547427865, -0.80000000000000004, 0.59999999999999998 },
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{ 1.4806912324625332, -0.80000000000000004, 0.69999999999999996 },
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{ 1.4339837018309474, -0.80000000000000004, 0.80000000000000004 },
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{ 1.3911845406776222, -0.80000000000000004, 0.90000000000000002 },
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};
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// Test function for k=-0.80000000000000004.
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template <typename Tp>
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void test002()
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{
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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unsigned int num_datum = sizeof(data002)
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/ sizeof(testcase_comp_ellint_3<double>);
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for (unsigned int i = 0; i < num_datum; ++i)
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{
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const Tp f = std::tr1::comp_ellint_3(Tp(data002[i].k), Tp(data002[i].nu));
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const Tp f0 = data002[i].f0;
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const Tp diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Tp(10) * eps
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&& std::abs(f) > Tp(10) * eps)
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{
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const Tp frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
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}
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// Test data for k=-0.69999999999999996.
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testcase_comp_ellint_3<double> data003[] = {
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{ 1.8456939983747236, -0.69999999999999996, 0.0000000000000000 },
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{ 1.7528050171757608, -0.69999999999999996, 0.10000000000000001 },
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{ 1.6721098780092147, -0.69999999999999996, 0.20000000000000001 },
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{ 1.6011813647733213, -0.69999999999999996, 0.29999999999999999 },
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{ 1.5382162002954762, -0.69999999999999996, 0.40000000000000002 },
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{ 1.4818433192178544, -0.69999999999999996, 0.50000000000000000 },
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{ 1.4309994736080540, -0.69999999999999996, 0.59999999999999998 },
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{ 1.3848459188329196, -0.69999999999999996, 0.69999999999999996 },
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{ 1.3427110650397533, -0.69999999999999996, 0.80000000000000004 },
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{ 1.3040500499695911, -0.69999999999999996, 0.90000000000000002 },
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};
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// Test function for k=-0.69999999999999996.
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template <typename Tp>
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void test003()
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{
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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unsigned int num_datum = sizeof(data003)
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/ sizeof(testcase_comp_ellint_3<double>);
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for (unsigned int i = 0; i < num_datum; ++i)
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{
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const Tp f = std::tr1::comp_ellint_3(Tp(data003[i].k), Tp(data003[i].nu));
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const Tp f0 = data003[i].f0;
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const Tp diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Tp(10) * eps
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&& std::abs(f) > Tp(10) * eps)
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{
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const Tp frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
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}
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// Test data for k=-0.59999999999999998.
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testcase_comp_ellint_3<double> data004[] = {
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{ 1.7507538029157526, -0.59999999999999998, 0.0000000000000000 },
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{ 1.6648615773343014, -0.59999999999999998, 0.10000000000000001 },
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{ 1.5901418016279374, -0.59999999999999998, 0.20000000000000001 },
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{ 1.5243814243493585, -0.59999999999999998, 0.29999999999999999 },
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{ 1.4659345278069984, -0.59999999999999998, 0.40000000000000002 },
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{ 1.4135484285693078, -0.59999999999999998, 0.50000000000000000 },
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{ 1.3662507535812816, -0.59999999999999998, 0.59999999999999998 },
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{ 1.3232737468822811, -0.59999999999999998, 0.69999999999999996 },
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{ 1.2840021261752192, -0.59999999999999998, 0.80000000000000004 },
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{ 1.2479362973851875, -0.59999999999999998, 0.90000000000000002 },
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};
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// Test function for k=-0.59999999999999998.
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template <typename Tp>
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void test004()
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{
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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unsigned int num_datum = sizeof(data004)
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/ sizeof(testcase_comp_ellint_3<double>);
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for (unsigned int i = 0; i < num_datum; ++i)
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{
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const Tp f = std::tr1::comp_ellint_3(Tp(data004[i].k), Tp(data004[i].nu));
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const Tp f0 = data004[i].f0;
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const Tp diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Tp(10) * eps
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&& std::abs(f) > Tp(10) * eps)
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{
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const Tp frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
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}
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// Test data for k=-0.50000000000000000.
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testcase_comp_ellint_3<double> data005[] = {
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{ 1.6857503548125963, -0.50000000000000000, 0.0000000000000000 },
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{ 1.6045524936084892, -0.50000000000000000, 0.10000000000000001 },
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{ 1.5338490483665983, -0.50000000000000000, 0.20000000000000001 },
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{ 1.4715681939859637, -0.50000000000000000, 0.29999999999999999 },
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{ 1.4161679518465340, -0.50000000000000000, 0.40000000000000002 },
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{ 1.3664739530045971, -0.50000000000000000, 0.50000000000000000 },
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{ 1.3215740290190876, -0.50000000000000000, 0.59999999999999998 },
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{ 1.2807475181182502, -0.50000000000000000, 0.69999999999999996 },
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{ 1.2434165408189539, -0.50000000000000000, 0.80000000000000004 },
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{ 1.2091116095504744, -0.50000000000000000, 0.90000000000000002 },
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};
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// Test function for k=-0.50000000000000000.
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template <typename Tp>
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void test005()
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{
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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unsigned int num_datum = sizeof(data005)
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/ sizeof(testcase_comp_ellint_3<double>);
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for (unsigned int i = 0; i < num_datum; ++i)
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{
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const Tp f = std::tr1::comp_ellint_3(Tp(data005[i].k), Tp(data005[i].nu));
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const Tp f0 = data005[i].f0;
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const Tp diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Tp(10) * eps
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&& std::abs(f) > Tp(10) * eps)
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{
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const Tp frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
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}
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// Test data for k=-0.40000000000000002.
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testcase_comp_ellint_3<double> data006[] = {
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{ 1.6399998658645112, -0.40000000000000002, 0.0000000000000000 },
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{ 1.5620566886683604, -0.40000000000000002, 0.10000000000000001 },
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{ 1.4941414344266770, -0.40000000000000002, 0.20000000000000001 },
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{ 1.4342789859950078, -0.40000000000000002, 0.29999999999999999 },
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{ 1.3809986210732901, -0.40000000000000002, 0.40000000000000002 },
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{ 1.3331797176377398, -0.40000000000000002, 0.50000000000000000 },
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{ 1.2899514672527024, -0.40000000000000002, 0.59999999999999998 },
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{ 1.2506255923253344, -0.40000000000000002, 0.69999999999999996 },
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{ 1.2146499565727209, -0.40000000000000002, 0.80000000000000004 },
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{ 1.1815758115929846, -0.40000000000000002, 0.90000000000000002 },
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};
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// Test function for k=-0.40000000000000002.
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template <typename Tp>
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void test006()
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{
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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unsigned int num_datum = sizeof(data006)
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/ sizeof(testcase_comp_ellint_3<double>);
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for (unsigned int i = 0; i < num_datum; ++i)
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{
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const Tp f = std::tr1::comp_ellint_3(Tp(data006[i].k), Tp(data006[i].nu));
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const Tp f0 = data006[i].f0;
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const Tp diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Tp(10) * eps
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&& std::abs(f) > Tp(10) * eps)
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{
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const Tp frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
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}
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// Test data for k=-0.30000000000000004.
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testcase_comp_ellint_3<double> data007[] = {
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{ 1.6080486199305126, -0.30000000000000004, 0.0000000000000000 },
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|
|
{ 1.5323534693557526, -0.30000000000000004, 0.10000000000000001 },
|
292 |
|
|
{ 1.4663658145259875, -0.30000000000000004, 0.20000000000000001 },
|
293 |
|
|
{ 1.4081767433479089, -0.30000000000000004, 0.29999999999999999 },
|
294 |
|
|
{ 1.3563643538969761, -0.30000000000000004, 0.40000000000000002 },
|
295 |
|
|
{ 1.3098448759814960, -0.30000000000000004, 0.50000000000000000 },
|
296 |
|
|
{ 1.2677758800420666, -0.30000000000000004, 0.59999999999999998 },
|
297 |
|
|
{ 1.2294913236274980, -0.30000000000000004, 0.69999999999999996 },
|
298 |
|
|
{ 1.1944567571590046, -0.30000000000000004, 0.80000000000000004 },
|
299 |
|
|
{ 1.1622376896064912, -0.30000000000000004, 0.90000000000000002 },
|
300 |
|
|
};
|
301 |
|
|
|
302 |
|
|
// Test function for k=-0.30000000000000004.
|
303 |
|
|
template <typename Tp>
|
304 |
|
|
void test007()
|
305 |
|
|
{
|
306 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
307 |
|
|
Tp max_abs_diff = -Tp(1);
|
308 |
|
|
Tp max_abs_frac = -Tp(1);
|
309 |
|
|
unsigned int num_datum = sizeof(data007)
|
310 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
311 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
312 |
|
|
{
|
313 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data007[i].k), Tp(data007[i].nu));
|
314 |
|
|
const Tp f0 = data007[i].f0;
|
315 |
|
|
const Tp diff = f - f0;
|
316 |
|
|
if (std::abs(diff) > max_abs_diff)
|
317 |
|
|
max_abs_diff = std::abs(diff);
|
318 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
319 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
320 |
|
|
{
|
321 |
|
|
const Tp frac = diff / f0;
|
322 |
|
|
if (std::abs(frac) > max_abs_frac)
|
323 |
|
|
max_abs_frac = std::abs(frac);
|
324 |
|
|
}
|
325 |
|
|
}
|
326 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
327 |
|
|
}
|
328 |
|
|
|
329 |
|
|
// Test data for k=-0.19999999999999996.
|
330 |
|
|
testcase_comp_ellint_3<double> data008[] = {
|
331 |
|
|
{ 1.5868678474541664, -0.19999999999999996, 0.0000000000000000 },
|
332 |
|
|
{ 1.5126513474261092, -0.19999999999999996, 0.10000000000000001 },
|
333 |
|
|
{ 1.4479323932249568, -0.19999999999999996, 0.20000000000000001 },
|
334 |
|
|
{ 1.3908453514752481, -0.19999999999999996, 0.29999999999999999 },
|
335 |
|
|
{ 1.3400002519661010, -0.19999999999999996, 0.40000000000000002 },
|
336 |
|
|
{ 1.2943374404397376, -0.19999999999999996, 0.50000000000000000 },
|
337 |
|
|
{ 1.2530330675914561, -0.19999999999999996, 0.59999999999999998 },
|
338 |
|
|
{ 1.2154356555075867, -0.19999999999999996, 0.69999999999999996 },
|
339 |
|
|
{ 1.1810223448909913, -0.19999999999999996, 0.80000000000000004 },
|
340 |
|
|
{ 1.1493679916141863, -0.19999999999999996, 0.90000000000000002 },
|
341 |
|
|
};
|
342 |
|
|
|
343 |
|
|
// Test function for k=-0.19999999999999996.
|
344 |
|
|
template <typename Tp>
|
345 |
|
|
void test008()
|
346 |
|
|
{
|
347 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
348 |
|
|
Tp max_abs_diff = -Tp(1);
|
349 |
|
|
Tp max_abs_frac = -Tp(1);
|
350 |
|
|
unsigned int num_datum = sizeof(data008)
|
351 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
352 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
353 |
|
|
{
|
354 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data008[i].k), Tp(data008[i].nu));
|
355 |
|
|
const Tp f0 = data008[i].f0;
|
356 |
|
|
const Tp diff = f - f0;
|
357 |
|
|
if (std::abs(diff) > max_abs_diff)
|
358 |
|
|
max_abs_diff = std::abs(diff);
|
359 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
360 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
361 |
|
|
{
|
362 |
|
|
const Tp frac = diff / f0;
|
363 |
|
|
if (std::abs(frac) > max_abs_frac)
|
364 |
|
|
max_abs_frac = std::abs(frac);
|
365 |
|
|
}
|
366 |
|
|
}
|
367 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
368 |
|
|
}
|
369 |
|
|
|
370 |
|
|
// Test data for k=-0.099999999999999978.
|
371 |
|
|
testcase_comp_ellint_3<double> data009[] = {
|
372 |
|
|
{ 1.5747455615173562, -0.099999999999999978, 0.0000000000000000 },
|
373 |
|
|
{ 1.5013711111199950, -0.099999999999999978, 0.10000000000000001 },
|
374 |
|
|
{ 1.4373749386463430, -0.099999999999999978, 0.20000000000000001 },
|
375 |
|
|
{ 1.3809159606704959, -0.099999999999999978, 0.29999999999999999 },
|
376 |
|
|
{ 1.3306223265207477, -0.099999999999999978, 0.40000000000000002 },
|
377 |
|
|
{ 1.2854480708580160, -0.099999999999999978, 0.50000000000000000 },
|
378 |
|
|
{ 1.2445798942989255, -0.099999999999999978, 0.59999999999999998 },
|
379 |
|
|
{ 1.2073745911083187, -0.099999999999999978, 0.69999999999999996 },
|
380 |
|
|
{ 1.1733158866987732, -0.099999999999999978, 0.80000000000000004 },
|
381 |
|
|
{ 1.1419839485283374, -0.099999999999999978, 0.90000000000000002 },
|
382 |
|
|
};
|
383 |
|
|
|
384 |
|
|
// Test function for k=-0.099999999999999978.
|
385 |
|
|
template <typename Tp>
|
386 |
|
|
void test009()
|
387 |
|
|
{
|
388 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
389 |
|
|
Tp max_abs_diff = -Tp(1);
|
390 |
|
|
Tp max_abs_frac = -Tp(1);
|
391 |
|
|
unsigned int num_datum = sizeof(data009)
|
392 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
393 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
394 |
|
|
{
|
395 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data009[i].k), Tp(data009[i].nu));
|
396 |
|
|
const Tp f0 = data009[i].f0;
|
397 |
|
|
const Tp diff = f - f0;
|
398 |
|
|
if (std::abs(diff) > max_abs_diff)
|
399 |
|
|
max_abs_diff = std::abs(diff);
|
400 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
401 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
402 |
|
|
{
|
403 |
|
|
const Tp frac = diff / f0;
|
404 |
|
|
if (std::abs(frac) > max_abs_frac)
|
405 |
|
|
max_abs_frac = std::abs(frac);
|
406 |
|
|
}
|
407 |
|
|
}
|
408 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
409 |
|
|
}
|
410 |
|
|
|
411 |
|
|
// Test data for k=0.0000000000000000.
|
412 |
|
|
testcase_comp_ellint_3<double> data010[] = {
|
413 |
|
|
{ 1.5707963267948966, 0.0000000000000000, 0.0000000000000000 },
|
414 |
|
|
{ 1.4976955329233277, 0.0000000000000000, 0.10000000000000001 },
|
415 |
|
|
{ 1.4339343023863691, 0.0000000000000000, 0.20000000000000001 },
|
416 |
|
|
{ 1.3776795151134889, 0.0000000000000000, 0.29999999999999999 },
|
417 |
|
|
{ 1.3275651989026322, 0.0000000000000000, 0.40000000000000002 },
|
418 |
|
|
{ 1.2825498301618641, 0.0000000000000000, 0.50000000000000000 },
|
419 |
|
|
{ 1.2418235332245127, 0.0000000000000000, 0.59999999999999998 },
|
420 |
|
|
{ 1.2047457872617382, 0.0000000000000000, 0.69999999999999996 },
|
421 |
|
|
{ 1.1708024551734544, 0.0000000000000000, 0.80000000000000004 },
|
422 |
|
|
{ 1.1395754288497419, 0.0000000000000000, 0.90000000000000002 },
|
423 |
|
|
};
|
424 |
|
|
|
425 |
|
|
// Test function for k=0.0000000000000000.
|
426 |
|
|
template <typename Tp>
|
427 |
|
|
void test010()
|
428 |
|
|
{
|
429 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
430 |
|
|
Tp max_abs_diff = -Tp(1);
|
431 |
|
|
Tp max_abs_frac = -Tp(1);
|
432 |
|
|
unsigned int num_datum = sizeof(data010)
|
433 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
434 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
435 |
|
|
{
|
436 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data010[i].k), Tp(data010[i].nu));
|
437 |
|
|
const Tp f0 = data010[i].f0;
|
438 |
|
|
const Tp diff = f - f0;
|
439 |
|
|
if (std::abs(diff) > max_abs_diff)
|
440 |
|
|
max_abs_diff = std::abs(diff);
|
441 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
442 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
443 |
|
|
{
|
444 |
|
|
const Tp frac = diff / f0;
|
445 |
|
|
if (std::abs(frac) > max_abs_frac)
|
446 |
|
|
max_abs_frac = std::abs(frac);
|
447 |
|
|
}
|
448 |
|
|
}
|
449 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
450 |
|
|
}
|
451 |
|
|
|
452 |
|
|
// Test data for k=0.10000000000000009.
|
453 |
|
|
testcase_comp_ellint_3<double> data011[] = {
|
454 |
|
|
{ 1.5747455615173562, 0.10000000000000009, 0.0000000000000000 },
|
455 |
|
|
{ 1.5013711111199950, 0.10000000000000009, 0.10000000000000001 },
|
456 |
|
|
{ 1.4373749386463430, 0.10000000000000009, 0.20000000000000001 },
|
457 |
|
|
{ 1.3809159606704959, 0.10000000000000009, 0.29999999999999999 },
|
458 |
|
|
{ 1.3306223265207477, 0.10000000000000009, 0.40000000000000002 },
|
459 |
|
|
{ 1.2854480708580160, 0.10000000000000009, 0.50000000000000000 },
|
460 |
|
|
{ 1.2445798942989255, 0.10000000000000009, 0.59999999999999998 },
|
461 |
|
|
{ 1.2073745911083187, 0.10000000000000009, 0.69999999999999996 },
|
462 |
|
|
{ 1.1733158866987732, 0.10000000000000009, 0.80000000000000004 },
|
463 |
|
|
{ 1.1419839485283374, 0.10000000000000009, 0.90000000000000002 },
|
464 |
|
|
};
|
465 |
|
|
|
466 |
|
|
// Test function for k=0.10000000000000009.
|
467 |
|
|
template <typename Tp>
|
468 |
|
|
void test011()
|
469 |
|
|
{
|
470 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
471 |
|
|
Tp max_abs_diff = -Tp(1);
|
472 |
|
|
Tp max_abs_frac = -Tp(1);
|
473 |
|
|
unsigned int num_datum = sizeof(data011)
|
474 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
475 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
476 |
|
|
{
|
477 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data011[i].k), Tp(data011[i].nu));
|
478 |
|
|
const Tp f0 = data011[i].f0;
|
479 |
|
|
const Tp diff = f - f0;
|
480 |
|
|
if (std::abs(diff) > max_abs_diff)
|
481 |
|
|
max_abs_diff = std::abs(diff);
|
482 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
483 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
484 |
|
|
{
|
485 |
|
|
const Tp frac = diff / f0;
|
486 |
|
|
if (std::abs(frac) > max_abs_frac)
|
487 |
|
|
max_abs_frac = std::abs(frac);
|
488 |
|
|
}
|
489 |
|
|
}
|
490 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
491 |
|
|
}
|
492 |
|
|
|
493 |
|
|
// Test data for k=0.19999999999999996.
|
494 |
|
|
testcase_comp_ellint_3<double> data012[] = {
|
495 |
|
|
{ 1.5868678474541664, 0.19999999999999996, 0.0000000000000000 },
|
496 |
|
|
{ 1.5126513474261092, 0.19999999999999996, 0.10000000000000001 },
|
497 |
|
|
{ 1.4479323932249568, 0.19999999999999996, 0.20000000000000001 },
|
498 |
|
|
{ 1.3908453514752481, 0.19999999999999996, 0.29999999999999999 },
|
499 |
|
|
{ 1.3400002519661010, 0.19999999999999996, 0.40000000000000002 },
|
500 |
|
|
{ 1.2943374404397376, 0.19999999999999996, 0.50000000000000000 },
|
501 |
|
|
{ 1.2530330675914561, 0.19999999999999996, 0.59999999999999998 },
|
502 |
|
|
{ 1.2154356555075867, 0.19999999999999996, 0.69999999999999996 },
|
503 |
|
|
{ 1.1810223448909913, 0.19999999999999996, 0.80000000000000004 },
|
504 |
|
|
{ 1.1493679916141863, 0.19999999999999996, 0.90000000000000002 },
|
505 |
|
|
};
|
506 |
|
|
|
507 |
|
|
// Test function for k=0.19999999999999996.
|
508 |
|
|
template <typename Tp>
|
509 |
|
|
void test012()
|
510 |
|
|
{
|
511 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
512 |
|
|
Tp max_abs_diff = -Tp(1);
|
513 |
|
|
Tp max_abs_frac = -Tp(1);
|
514 |
|
|
unsigned int num_datum = sizeof(data012)
|
515 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
516 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
517 |
|
|
{
|
518 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data012[i].k), Tp(data012[i].nu));
|
519 |
|
|
const Tp f0 = data012[i].f0;
|
520 |
|
|
const Tp diff = f - f0;
|
521 |
|
|
if (std::abs(diff) > max_abs_diff)
|
522 |
|
|
max_abs_diff = std::abs(diff);
|
523 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
524 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
525 |
|
|
{
|
526 |
|
|
const Tp frac = diff / f0;
|
527 |
|
|
if (std::abs(frac) > max_abs_frac)
|
528 |
|
|
max_abs_frac = std::abs(frac);
|
529 |
|
|
}
|
530 |
|
|
}
|
531 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
532 |
|
|
}
|
533 |
|
|
|
534 |
|
|
// Test data for k=0.30000000000000004.
|
535 |
|
|
testcase_comp_ellint_3<double> data013[] = {
|
536 |
|
|
{ 1.6080486199305126, 0.30000000000000004, 0.0000000000000000 },
|
537 |
|
|
{ 1.5323534693557526, 0.30000000000000004, 0.10000000000000001 },
|
538 |
|
|
{ 1.4663658145259875, 0.30000000000000004, 0.20000000000000001 },
|
539 |
|
|
{ 1.4081767433479089, 0.30000000000000004, 0.29999999999999999 },
|
540 |
|
|
{ 1.3563643538969761, 0.30000000000000004, 0.40000000000000002 },
|
541 |
|
|
{ 1.3098448759814960, 0.30000000000000004, 0.50000000000000000 },
|
542 |
|
|
{ 1.2677758800420666, 0.30000000000000004, 0.59999999999999998 },
|
543 |
|
|
{ 1.2294913236274980, 0.30000000000000004, 0.69999999999999996 },
|
544 |
|
|
{ 1.1944567571590046, 0.30000000000000004, 0.80000000000000004 },
|
545 |
|
|
{ 1.1622376896064912, 0.30000000000000004, 0.90000000000000002 },
|
546 |
|
|
};
|
547 |
|
|
|
548 |
|
|
// Test function for k=0.30000000000000004.
|
549 |
|
|
template <typename Tp>
|
550 |
|
|
void test013()
|
551 |
|
|
{
|
552 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
553 |
|
|
Tp max_abs_diff = -Tp(1);
|
554 |
|
|
Tp max_abs_frac = -Tp(1);
|
555 |
|
|
unsigned int num_datum = sizeof(data013)
|
556 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
557 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
558 |
|
|
{
|
559 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data013[i].k), Tp(data013[i].nu));
|
560 |
|
|
const Tp f0 = data013[i].f0;
|
561 |
|
|
const Tp diff = f - f0;
|
562 |
|
|
if (std::abs(diff) > max_abs_diff)
|
563 |
|
|
max_abs_diff = std::abs(diff);
|
564 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
565 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
566 |
|
|
{
|
567 |
|
|
const Tp frac = diff / f0;
|
568 |
|
|
if (std::abs(frac) > max_abs_frac)
|
569 |
|
|
max_abs_frac = std::abs(frac);
|
570 |
|
|
}
|
571 |
|
|
}
|
572 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
573 |
|
|
}
|
574 |
|
|
|
575 |
|
|
// Test data for k=0.39999999999999991.
|
576 |
|
|
testcase_comp_ellint_3<double> data014[] = {
|
577 |
|
|
{ 1.6399998658645112, 0.39999999999999991, 0.0000000000000000 },
|
578 |
|
|
{ 1.5620566886683604, 0.39999999999999991, 0.10000000000000001 },
|
579 |
|
|
{ 1.4941414344266770, 0.39999999999999991, 0.20000000000000001 },
|
580 |
|
|
{ 1.4342789859950078, 0.39999999999999991, 0.29999999999999999 },
|
581 |
|
|
{ 1.3809986210732901, 0.39999999999999991, 0.40000000000000002 },
|
582 |
|
|
{ 1.3331797176377398, 0.39999999999999991, 0.50000000000000000 },
|
583 |
|
|
{ 1.2899514672527024, 0.39999999999999991, 0.59999999999999998 },
|
584 |
|
|
{ 1.2506255923253344, 0.39999999999999991, 0.69999999999999996 },
|
585 |
|
|
{ 1.2146499565727209, 0.39999999999999991, 0.80000000000000004 },
|
586 |
|
|
{ 1.1815758115929846, 0.39999999999999991, 0.90000000000000002 },
|
587 |
|
|
};
|
588 |
|
|
|
589 |
|
|
// Test function for k=0.39999999999999991.
|
590 |
|
|
template <typename Tp>
|
591 |
|
|
void test014()
|
592 |
|
|
{
|
593 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
594 |
|
|
Tp max_abs_diff = -Tp(1);
|
595 |
|
|
Tp max_abs_frac = -Tp(1);
|
596 |
|
|
unsigned int num_datum = sizeof(data014)
|
597 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
598 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
599 |
|
|
{
|
600 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data014[i].k), Tp(data014[i].nu));
|
601 |
|
|
const Tp f0 = data014[i].f0;
|
602 |
|
|
const Tp diff = f - f0;
|
603 |
|
|
if (std::abs(diff) > max_abs_diff)
|
604 |
|
|
max_abs_diff = std::abs(diff);
|
605 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
606 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
607 |
|
|
{
|
608 |
|
|
const Tp frac = diff / f0;
|
609 |
|
|
if (std::abs(frac) > max_abs_frac)
|
610 |
|
|
max_abs_frac = std::abs(frac);
|
611 |
|
|
}
|
612 |
|
|
}
|
613 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
614 |
|
|
}
|
615 |
|
|
|
616 |
|
|
// Test data for k=0.50000000000000000.
|
617 |
|
|
testcase_comp_ellint_3<double> data015[] = {
|
618 |
|
|
{ 1.6857503548125963, 0.50000000000000000, 0.0000000000000000 },
|
619 |
|
|
{ 1.6045524936084892, 0.50000000000000000, 0.10000000000000001 },
|
620 |
|
|
{ 1.5338490483665983, 0.50000000000000000, 0.20000000000000001 },
|
621 |
|
|
{ 1.4715681939859637, 0.50000000000000000, 0.29999999999999999 },
|
622 |
|
|
{ 1.4161679518465340, 0.50000000000000000, 0.40000000000000002 },
|
623 |
|
|
{ 1.3664739530045971, 0.50000000000000000, 0.50000000000000000 },
|
624 |
|
|
{ 1.3215740290190876, 0.50000000000000000, 0.59999999999999998 },
|
625 |
|
|
{ 1.2807475181182502, 0.50000000000000000, 0.69999999999999996 },
|
626 |
|
|
{ 1.2434165408189539, 0.50000000000000000, 0.80000000000000004 },
|
627 |
|
|
{ 1.2091116095504744, 0.50000000000000000, 0.90000000000000002 },
|
628 |
|
|
};
|
629 |
|
|
|
630 |
|
|
// Test function for k=0.50000000000000000.
|
631 |
|
|
template <typename Tp>
|
632 |
|
|
void test015()
|
633 |
|
|
{
|
634 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
635 |
|
|
Tp max_abs_diff = -Tp(1);
|
636 |
|
|
Tp max_abs_frac = -Tp(1);
|
637 |
|
|
unsigned int num_datum = sizeof(data015)
|
638 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
639 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
640 |
|
|
{
|
641 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data015[i].k), Tp(data015[i].nu));
|
642 |
|
|
const Tp f0 = data015[i].f0;
|
643 |
|
|
const Tp diff = f - f0;
|
644 |
|
|
if (std::abs(diff) > max_abs_diff)
|
645 |
|
|
max_abs_diff = std::abs(diff);
|
646 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
647 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
648 |
|
|
{
|
649 |
|
|
const Tp frac = diff / f0;
|
650 |
|
|
if (std::abs(frac) > max_abs_frac)
|
651 |
|
|
max_abs_frac = std::abs(frac);
|
652 |
|
|
}
|
653 |
|
|
}
|
654 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
655 |
|
|
}
|
656 |
|
|
|
657 |
|
|
// Test data for k=0.60000000000000009.
|
658 |
|
|
testcase_comp_ellint_3<double> data016[] = {
|
659 |
|
|
{ 1.7507538029157526, 0.60000000000000009, 0.0000000000000000 },
|
660 |
|
|
{ 1.6648615773343014, 0.60000000000000009, 0.10000000000000001 },
|
661 |
|
|
{ 1.5901418016279374, 0.60000000000000009, 0.20000000000000001 },
|
662 |
|
|
{ 1.5243814243493585, 0.60000000000000009, 0.29999999999999999 },
|
663 |
|
|
{ 1.4659345278069984, 0.60000000000000009, 0.40000000000000002 },
|
664 |
|
|
{ 1.4135484285693078, 0.60000000000000009, 0.50000000000000000 },
|
665 |
|
|
{ 1.3662507535812816, 0.60000000000000009, 0.59999999999999998 },
|
666 |
|
|
{ 1.3232737468822811, 0.60000000000000009, 0.69999999999999996 },
|
667 |
|
|
{ 1.2840021261752192, 0.60000000000000009, 0.80000000000000004 },
|
668 |
|
|
{ 1.2479362973851875, 0.60000000000000009, 0.90000000000000002 },
|
669 |
|
|
};
|
670 |
|
|
|
671 |
|
|
// Test function for k=0.60000000000000009.
|
672 |
|
|
template <typename Tp>
|
673 |
|
|
void test016()
|
674 |
|
|
{
|
675 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
676 |
|
|
Tp max_abs_diff = -Tp(1);
|
677 |
|
|
Tp max_abs_frac = -Tp(1);
|
678 |
|
|
unsigned int num_datum = sizeof(data016)
|
679 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
680 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
681 |
|
|
{
|
682 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data016[i].k), Tp(data016[i].nu));
|
683 |
|
|
const Tp f0 = data016[i].f0;
|
684 |
|
|
const Tp diff = f - f0;
|
685 |
|
|
if (std::abs(diff) > max_abs_diff)
|
686 |
|
|
max_abs_diff = std::abs(diff);
|
687 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
688 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
689 |
|
|
{
|
690 |
|
|
const Tp frac = diff / f0;
|
691 |
|
|
if (std::abs(frac) > max_abs_frac)
|
692 |
|
|
max_abs_frac = std::abs(frac);
|
693 |
|
|
}
|
694 |
|
|
}
|
695 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
696 |
|
|
}
|
697 |
|
|
|
698 |
|
|
// Test data for k=0.69999999999999996.
|
699 |
|
|
testcase_comp_ellint_3<double> data017[] = {
|
700 |
|
|
{ 1.8456939983747236, 0.69999999999999996, 0.0000000000000000 },
|
701 |
|
|
{ 1.7528050171757608, 0.69999999999999996, 0.10000000000000001 },
|
702 |
|
|
{ 1.6721098780092147, 0.69999999999999996, 0.20000000000000001 },
|
703 |
|
|
{ 1.6011813647733213, 0.69999999999999996, 0.29999999999999999 },
|
704 |
|
|
{ 1.5382162002954762, 0.69999999999999996, 0.40000000000000002 },
|
705 |
|
|
{ 1.4818433192178544, 0.69999999999999996, 0.50000000000000000 },
|
706 |
|
|
{ 1.4309994736080540, 0.69999999999999996, 0.59999999999999998 },
|
707 |
|
|
{ 1.3848459188329196, 0.69999999999999996, 0.69999999999999996 },
|
708 |
|
|
{ 1.3427110650397533, 0.69999999999999996, 0.80000000000000004 },
|
709 |
|
|
{ 1.3040500499695911, 0.69999999999999996, 0.90000000000000002 },
|
710 |
|
|
};
|
711 |
|
|
|
712 |
|
|
// Test function for k=0.69999999999999996.
|
713 |
|
|
template <typename Tp>
|
714 |
|
|
void test017()
|
715 |
|
|
{
|
716 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
717 |
|
|
Tp max_abs_diff = -Tp(1);
|
718 |
|
|
Tp max_abs_frac = -Tp(1);
|
719 |
|
|
unsigned int num_datum = sizeof(data017)
|
720 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
721 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
722 |
|
|
{
|
723 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data017[i].k), Tp(data017[i].nu));
|
724 |
|
|
const Tp f0 = data017[i].f0;
|
725 |
|
|
const Tp diff = f - f0;
|
726 |
|
|
if (std::abs(diff) > max_abs_diff)
|
727 |
|
|
max_abs_diff = std::abs(diff);
|
728 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
729 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
730 |
|
|
{
|
731 |
|
|
const Tp frac = diff / f0;
|
732 |
|
|
if (std::abs(frac) > max_abs_frac)
|
733 |
|
|
max_abs_frac = std::abs(frac);
|
734 |
|
|
}
|
735 |
|
|
}
|
736 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
737 |
|
|
}
|
738 |
|
|
|
739 |
|
|
// Test data for k=0.80000000000000004.
|
740 |
|
|
testcase_comp_ellint_3<double> data018[] = {
|
741 |
|
|
{ 1.9953027776647296, 0.80000000000000004, 0.0000000000000000 },
|
742 |
|
|
{ 1.8910755418379521, 0.80000000000000004, 0.10000000000000001 },
|
743 |
|
|
{ 1.8007226661734588, 0.80000000000000004, 0.20000000000000001 },
|
744 |
|
|
{ 1.7214611048717301, 0.80000000000000004, 0.29999999999999999 },
|
745 |
|
|
{ 1.6512267838651289, 0.80000000000000004, 0.40000000000000002 },
|
746 |
|
|
{ 1.5884528947755532, 0.80000000000000004, 0.50000000000000000 },
|
747 |
|
|
{ 1.5319262547427865, 0.80000000000000004, 0.59999999999999998 },
|
748 |
|
|
{ 1.4806912324625332, 0.80000000000000004, 0.69999999999999996 },
|
749 |
|
|
{ 1.4339837018309474, 0.80000000000000004, 0.80000000000000004 },
|
750 |
|
|
{ 1.3911845406776222, 0.80000000000000004, 0.90000000000000002 },
|
751 |
|
|
};
|
752 |
|
|
|
753 |
|
|
// Test function for k=0.80000000000000004.
|
754 |
|
|
template <typename Tp>
|
755 |
|
|
void test018()
|
756 |
|
|
{
|
757 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
758 |
|
|
Tp max_abs_diff = -Tp(1);
|
759 |
|
|
Tp max_abs_frac = -Tp(1);
|
760 |
|
|
unsigned int num_datum = sizeof(data018)
|
761 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
762 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
763 |
|
|
{
|
764 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data018[i].k), Tp(data018[i].nu));
|
765 |
|
|
const Tp f0 = data018[i].f0;
|
766 |
|
|
const Tp diff = f - f0;
|
767 |
|
|
if (std::abs(diff) > max_abs_diff)
|
768 |
|
|
max_abs_diff = std::abs(diff);
|
769 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
770 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
771 |
|
|
{
|
772 |
|
|
const Tp frac = diff / f0;
|
773 |
|
|
if (std::abs(frac) > max_abs_frac)
|
774 |
|
|
max_abs_frac = std::abs(frac);
|
775 |
|
|
}
|
776 |
|
|
}
|
777 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
778 |
|
|
}
|
779 |
|
|
|
780 |
|
|
// Test data for k=0.89999999999999991.
|
781 |
|
|
testcase_comp_ellint_3<double> data019[] = {
|
782 |
|
|
{ 2.2805491384227699, 0.89999999999999991, 0.0000000000000000 },
|
783 |
|
|
{ 2.1537868513875282, 0.89999999999999991, 0.10000000000000001 },
|
784 |
|
|
{ 2.0443194576468890, 0.89999999999999991, 0.20000000000000001 },
|
785 |
|
|
{ 1.9486280260314424, 0.89999999999999991, 0.29999999999999999 },
|
786 |
|
|
{ 1.8641114227238347, 0.89999999999999991, 0.40000000000000002 },
|
787 |
|
|
{ 1.7888013241937859, 0.89999999999999991, 0.50000000000000000 },
|
788 |
|
|
{ 1.7211781128919521, 0.89999999999999991, 0.59999999999999998 },
|
789 |
|
|
{ 1.6600480747670936, 0.89999999999999991, 0.69999999999999996 },
|
790 |
|
|
{ 1.6044591960982200, 0.89999999999999991, 0.80000000000000004 },
|
791 |
|
|
{ 1.5536420236310944, 0.89999999999999991, 0.90000000000000002 },
|
792 |
|
|
};
|
793 |
|
|
|
794 |
|
|
// Test function for k=0.89999999999999991.
|
795 |
|
|
template <typename Tp>
|
796 |
|
|
void test019()
|
797 |
|
|
{
|
798 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
799 |
|
|
Tp max_abs_diff = -Tp(1);
|
800 |
|
|
Tp max_abs_frac = -Tp(1);
|
801 |
|
|
unsigned int num_datum = sizeof(data019)
|
802 |
|
|
/ sizeof(testcase_comp_ellint_3<double>);
|
803 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
804 |
|
|
{
|
805 |
|
|
const Tp f = std::tr1::comp_ellint_3(Tp(data019[i].k), Tp(data019[i].nu));
|
806 |
|
|
const Tp f0 = data019[i].f0;
|
807 |
|
|
const Tp diff = f - f0;
|
808 |
|
|
if (std::abs(diff) > max_abs_diff)
|
809 |
|
|
max_abs_diff = std::abs(diff);
|
810 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
811 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
812 |
|
|
{
|
813 |
|
|
const Tp frac = diff / f0;
|
814 |
|
|
if (std::abs(frac) > max_abs_frac)
|
815 |
|
|
max_abs_frac = std::abs(frac);
|
816 |
|
|
}
|
817 |
|
|
}
|
818 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
819 |
|
|
}
|
820 |
|
|
|
821 |
|
|
int main(int, char**)
|
822 |
|
|
{
|
823 |
|
|
test001<double>();
|
824 |
|
|
test002<double>();
|
825 |
|
|
test003<double>();
|
826 |
|
|
test004<double>();
|
827 |
|
|
test005<double>();
|
828 |
|
|
test006<double>();
|
829 |
|
|
test007<double>();
|
830 |
|
|
test008<double>();
|
831 |
|
|
test009<double>();
|
832 |
|
|
test010<double>();
|
833 |
|
|
test011<double>();
|
834 |
|
|
test012<double>();
|
835 |
|
|
test013<double>();
|
836 |
|
|
test014<double>();
|
837 |
|
|
test015<double>();
|
838 |
|
|
test016<double>();
|
839 |
|
|
test017<double>();
|
840 |
|
|
test018<double>();
|
841 |
|
|
test019<double>();
|
842 |
|
|
return 0;
|
843 |
|
|
}
|