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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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// conf_hyperg
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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 a=0.0000000000000000, c=1.0000000000000000.
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testcase_conf_hyperg<double> data001[] = {
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-10.000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-9.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-8.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-7.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-6.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-5.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-4.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-3.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-2.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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-1.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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0.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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1.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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2.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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3.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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4.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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5.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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6.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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7.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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8.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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9.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 1.0000000000000000,
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10.000000000000000 },
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};
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// Test function for a=0.0000000000000000, c=1.0000000000000000.
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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_conf_hyperg<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::conf_hyperg(Tp(data001[i].a), Tp(data001[i].c),
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Tp(data001[i].x));
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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 a=0.0000000000000000, c=2.0000000000000000.
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testcase_conf_hyperg<double> data002[] = {
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-10.000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-9.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-8.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-7.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-6.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-5.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-4.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-3.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-2.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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-1.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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0.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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1.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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2.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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3.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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4.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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5.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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6.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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7.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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8.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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9.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 2.0000000000000000,
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10.000000000000000 },
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};
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// Test function for a=0.0000000000000000, c=2.0000000000000000.
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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_conf_hyperg<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::conf_hyperg(Tp(data002[i].a), Tp(data002[i].c),
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Tp(data002[i].x));
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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 a=0.0000000000000000, c=3.0000000000000000.
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testcase_conf_hyperg<double> data003[] = {
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-10.000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-9.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-8.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-7.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-6.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-5.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-4.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-3.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-2.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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-1.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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0.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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1.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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2.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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3.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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4.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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5.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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6.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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7.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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8.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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9.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 3.0000000000000000,
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10.000000000000000 },
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};
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// Test function for a=0.0000000000000000, c=3.0000000000000000.
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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_conf_hyperg<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::conf_hyperg(Tp(data003[i].a), Tp(data003[i].c),
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Tp(data003[i].x));
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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 a=0.0000000000000000, c=4.0000000000000000.
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testcase_conf_hyperg<double> data004[] = {
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-10.000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-9.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-8.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-7.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-6.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-5.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-4.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-3.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-2.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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-1.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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0.0000000000000000 },
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288 |
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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1.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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2.0000000000000000 },
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292 |
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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3.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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4.0000000000000000 },
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296 |
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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297 |
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5.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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6.0000000000000000 },
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300 |
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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301 |
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7.0000000000000000 },
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302 |
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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303 |
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8.0000000000000000 },
|
304 |
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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305 |
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9.0000000000000000 },
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{ 1.0000000000000000, 0.0000000000000000, 4.0000000000000000,
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10.000000000000000 },
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};
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309 |
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310 |
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// Test function for a=0.0000000000000000, c=4.0000000000000000.
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311 |
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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();
|
315 |
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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317 |
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unsigned int num_datum = sizeof(data004)
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/ sizeof(testcase_conf_hyperg<double>);
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319 |
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for (unsigned int i = 0; i < num_datum; ++i)
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320 |
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{
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321 |
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const Tp f = std::tr1::conf_hyperg(Tp(data004[i].a), Tp(data004[i].c),
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Tp(data004[i].x));
|
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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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|
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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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329 |
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{
|
330 |
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const Tp frac = diff / f0;
|
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if (std::abs(frac) > max_abs_frac)
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|
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max_abs_frac = std::abs(frac);
|
333 |
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}
|
334 |
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}
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335 |
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VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
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}
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337 |
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338 |
|
|
// Test data for a=0.0000000000000000, c=5.0000000000000000.
|
339 |
|
|
testcase_conf_hyperg<double> data005[] = {
|
340 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
341 |
|
|
-10.000000000000000 },
|
342 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
343 |
|
|
-9.0000000000000000 },
|
344 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
345 |
|
|
-8.0000000000000000 },
|
346 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
347 |
|
|
-7.0000000000000000 },
|
348 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
349 |
|
|
-6.0000000000000000 },
|
350 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
351 |
|
|
-5.0000000000000000 },
|
352 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
353 |
|
|
-4.0000000000000000 },
|
354 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
355 |
|
|
-3.0000000000000000 },
|
356 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
357 |
|
|
-2.0000000000000000 },
|
358 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
359 |
|
|
-1.0000000000000000 },
|
360 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
361 |
|
|
0.0000000000000000 },
|
362 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
363 |
|
|
1.0000000000000000 },
|
364 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
365 |
|
|
2.0000000000000000 },
|
366 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
367 |
|
|
3.0000000000000000 },
|
368 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
369 |
|
|
4.0000000000000000 },
|
370 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
371 |
|
|
5.0000000000000000 },
|
372 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
373 |
|
|
6.0000000000000000 },
|
374 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
375 |
|
|
7.0000000000000000 },
|
376 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
377 |
|
|
8.0000000000000000 },
|
378 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
379 |
|
|
9.0000000000000000 },
|
380 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 5.0000000000000000,
|
381 |
|
|
10.000000000000000 },
|
382 |
|
|
};
|
383 |
|
|
|
384 |
|
|
// Test function for a=0.0000000000000000, c=5.0000000000000000.
|
385 |
|
|
template <typename Tp>
|
386 |
|
|
void test005()
|
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(data005)
|
392 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
393 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
394 |
|
|
{
|
395 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data005[i].a), Tp(data005[i].c),
|
396 |
|
|
Tp(data005[i].x));
|
397 |
|
|
const Tp f0 = data005[i].f0;
|
398 |
|
|
const Tp diff = f - f0;
|
399 |
|
|
if (std::abs(diff) > max_abs_diff)
|
400 |
|
|
max_abs_diff = std::abs(diff);
|
401 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
402 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
403 |
|
|
{
|
404 |
|
|
const Tp frac = diff / f0;
|
405 |
|
|
if (std::abs(frac) > max_abs_frac)
|
406 |
|
|
max_abs_frac = std::abs(frac);
|
407 |
|
|
}
|
408 |
|
|
}
|
409 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
410 |
|
|
}
|
411 |
|
|
|
412 |
|
|
// Test data for a=0.0000000000000000, c=6.0000000000000000.
|
413 |
|
|
testcase_conf_hyperg<double> data006[] = {
|
414 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
415 |
|
|
-10.000000000000000 },
|
416 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
417 |
|
|
-9.0000000000000000 },
|
418 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
419 |
|
|
-8.0000000000000000 },
|
420 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
421 |
|
|
-7.0000000000000000 },
|
422 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
423 |
|
|
-6.0000000000000000 },
|
424 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
425 |
|
|
-5.0000000000000000 },
|
426 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
427 |
|
|
-4.0000000000000000 },
|
428 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
429 |
|
|
-3.0000000000000000 },
|
430 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
431 |
|
|
-2.0000000000000000 },
|
432 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
433 |
|
|
-1.0000000000000000 },
|
434 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
435 |
|
|
0.0000000000000000 },
|
436 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
437 |
|
|
1.0000000000000000 },
|
438 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
439 |
|
|
2.0000000000000000 },
|
440 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
441 |
|
|
3.0000000000000000 },
|
442 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
443 |
|
|
4.0000000000000000 },
|
444 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
445 |
|
|
5.0000000000000000 },
|
446 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
447 |
|
|
6.0000000000000000 },
|
448 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
449 |
|
|
7.0000000000000000 },
|
450 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
451 |
|
|
8.0000000000000000 },
|
452 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
453 |
|
|
9.0000000000000000 },
|
454 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 6.0000000000000000,
|
455 |
|
|
10.000000000000000 },
|
456 |
|
|
};
|
457 |
|
|
|
458 |
|
|
// Test function for a=0.0000000000000000, c=6.0000000000000000.
|
459 |
|
|
template <typename Tp>
|
460 |
|
|
void test006()
|
461 |
|
|
{
|
462 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
463 |
|
|
Tp max_abs_diff = -Tp(1);
|
464 |
|
|
Tp max_abs_frac = -Tp(1);
|
465 |
|
|
unsigned int num_datum = sizeof(data006)
|
466 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
467 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
468 |
|
|
{
|
469 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data006[i].a), Tp(data006[i].c),
|
470 |
|
|
Tp(data006[i].x));
|
471 |
|
|
const Tp f0 = data006[i].f0;
|
472 |
|
|
const Tp diff = f - f0;
|
473 |
|
|
if (std::abs(diff) > max_abs_diff)
|
474 |
|
|
max_abs_diff = std::abs(diff);
|
475 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
476 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
477 |
|
|
{
|
478 |
|
|
const Tp frac = diff / f0;
|
479 |
|
|
if (std::abs(frac) > max_abs_frac)
|
480 |
|
|
max_abs_frac = std::abs(frac);
|
481 |
|
|
}
|
482 |
|
|
}
|
483 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
484 |
|
|
}
|
485 |
|
|
|
486 |
|
|
// Test data for a=0.0000000000000000, c=7.0000000000000000.
|
487 |
|
|
testcase_conf_hyperg<double> data007[] = {
|
488 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
489 |
|
|
-10.000000000000000 },
|
490 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
491 |
|
|
-9.0000000000000000 },
|
492 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
493 |
|
|
-8.0000000000000000 },
|
494 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
495 |
|
|
-7.0000000000000000 },
|
496 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
497 |
|
|
-6.0000000000000000 },
|
498 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
499 |
|
|
-5.0000000000000000 },
|
500 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
501 |
|
|
-4.0000000000000000 },
|
502 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
503 |
|
|
-3.0000000000000000 },
|
504 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
505 |
|
|
-2.0000000000000000 },
|
506 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
507 |
|
|
-1.0000000000000000 },
|
508 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
509 |
|
|
0.0000000000000000 },
|
510 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
511 |
|
|
1.0000000000000000 },
|
512 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
513 |
|
|
2.0000000000000000 },
|
514 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
515 |
|
|
3.0000000000000000 },
|
516 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
517 |
|
|
4.0000000000000000 },
|
518 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
519 |
|
|
5.0000000000000000 },
|
520 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
521 |
|
|
6.0000000000000000 },
|
522 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
523 |
|
|
7.0000000000000000 },
|
524 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
525 |
|
|
8.0000000000000000 },
|
526 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
527 |
|
|
9.0000000000000000 },
|
528 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 7.0000000000000000,
|
529 |
|
|
10.000000000000000 },
|
530 |
|
|
};
|
531 |
|
|
|
532 |
|
|
// Test function for a=0.0000000000000000, c=7.0000000000000000.
|
533 |
|
|
template <typename Tp>
|
534 |
|
|
void test007()
|
535 |
|
|
{
|
536 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
537 |
|
|
Tp max_abs_diff = -Tp(1);
|
538 |
|
|
Tp max_abs_frac = -Tp(1);
|
539 |
|
|
unsigned int num_datum = sizeof(data007)
|
540 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
541 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
542 |
|
|
{
|
543 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data007[i].a), Tp(data007[i].c),
|
544 |
|
|
Tp(data007[i].x));
|
545 |
|
|
const Tp f0 = data007[i].f0;
|
546 |
|
|
const Tp diff = f - f0;
|
547 |
|
|
if (std::abs(diff) > max_abs_diff)
|
548 |
|
|
max_abs_diff = std::abs(diff);
|
549 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
550 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
551 |
|
|
{
|
552 |
|
|
const Tp frac = diff / f0;
|
553 |
|
|
if (std::abs(frac) > max_abs_frac)
|
554 |
|
|
max_abs_frac = std::abs(frac);
|
555 |
|
|
}
|
556 |
|
|
}
|
557 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
558 |
|
|
}
|
559 |
|
|
|
560 |
|
|
// Test data for a=0.0000000000000000, c=8.0000000000000000.
|
561 |
|
|
testcase_conf_hyperg<double> data008[] = {
|
562 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
563 |
|
|
-10.000000000000000 },
|
564 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
565 |
|
|
-9.0000000000000000 },
|
566 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
567 |
|
|
-8.0000000000000000 },
|
568 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
569 |
|
|
-7.0000000000000000 },
|
570 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
571 |
|
|
-6.0000000000000000 },
|
572 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
573 |
|
|
-5.0000000000000000 },
|
574 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
575 |
|
|
-4.0000000000000000 },
|
576 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
577 |
|
|
-3.0000000000000000 },
|
578 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
579 |
|
|
-2.0000000000000000 },
|
580 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
581 |
|
|
-1.0000000000000000 },
|
582 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
583 |
|
|
0.0000000000000000 },
|
584 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
585 |
|
|
1.0000000000000000 },
|
586 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
587 |
|
|
2.0000000000000000 },
|
588 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
589 |
|
|
3.0000000000000000 },
|
590 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
591 |
|
|
4.0000000000000000 },
|
592 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
593 |
|
|
5.0000000000000000 },
|
594 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
595 |
|
|
6.0000000000000000 },
|
596 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
597 |
|
|
7.0000000000000000 },
|
598 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
599 |
|
|
8.0000000000000000 },
|
600 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
601 |
|
|
9.0000000000000000 },
|
602 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 8.0000000000000000,
|
603 |
|
|
10.000000000000000 },
|
604 |
|
|
};
|
605 |
|
|
|
606 |
|
|
// Test function for a=0.0000000000000000, c=8.0000000000000000.
|
607 |
|
|
template <typename Tp>
|
608 |
|
|
void test008()
|
609 |
|
|
{
|
610 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
611 |
|
|
Tp max_abs_diff = -Tp(1);
|
612 |
|
|
Tp max_abs_frac = -Tp(1);
|
613 |
|
|
unsigned int num_datum = sizeof(data008)
|
614 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
615 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
616 |
|
|
{
|
617 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data008[i].a), Tp(data008[i].c),
|
618 |
|
|
Tp(data008[i].x));
|
619 |
|
|
const Tp f0 = data008[i].f0;
|
620 |
|
|
const Tp diff = f - f0;
|
621 |
|
|
if (std::abs(diff) > max_abs_diff)
|
622 |
|
|
max_abs_diff = std::abs(diff);
|
623 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
624 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
625 |
|
|
{
|
626 |
|
|
const Tp frac = diff / f0;
|
627 |
|
|
if (std::abs(frac) > max_abs_frac)
|
628 |
|
|
max_abs_frac = std::abs(frac);
|
629 |
|
|
}
|
630 |
|
|
}
|
631 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
632 |
|
|
}
|
633 |
|
|
|
634 |
|
|
// Test data for a=0.0000000000000000, c=9.0000000000000000.
|
635 |
|
|
testcase_conf_hyperg<double> data009[] = {
|
636 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
637 |
|
|
-10.000000000000000 },
|
638 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
639 |
|
|
-9.0000000000000000 },
|
640 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
641 |
|
|
-8.0000000000000000 },
|
642 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
643 |
|
|
-7.0000000000000000 },
|
644 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
645 |
|
|
-6.0000000000000000 },
|
646 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
647 |
|
|
-5.0000000000000000 },
|
648 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
649 |
|
|
-4.0000000000000000 },
|
650 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
651 |
|
|
-3.0000000000000000 },
|
652 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
653 |
|
|
-2.0000000000000000 },
|
654 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
655 |
|
|
-1.0000000000000000 },
|
656 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
657 |
|
|
0.0000000000000000 },
|
658 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
659 |
|
|
1.0000000000000000 },
|
660 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
661 |
|
|
2.0000000000000000 },
|
662 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
663 |
|
|
3.0000000000000000 },
|
664 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
665 |
|
|
4.0000000000000000 },
|
666 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
667 |
|
|
5.0000000000000000 },
|
668 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
669 |
|
|
6.0000000000000000 },
|
670 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
671 |
|
|
7.0000000000000000 },
|
672 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
673 |
|
|
8.0000000000000000 },
|
674 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
675 |
|
|
9.0000000000000000 },
|
676 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 9.0000000000000000,
|
677 |
|
|
10.000000000000000 },
|
678 |
|
|
};
|
679 |
|
|
|
680 |
|
|
// Test function for a=0.0000000000000000, c=9.0000000000000000.
|
681 |
|
|
template <typename Tp>
|
682 |
|
|
void test009()
|
683 |
|
|
{
|
684 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
685 |
|
|
Tp max_abs_diff = -Tp(1);
|
686 |
|
|
Tp max_abs_frac = -Tp(1);
|
687 |
|
|
unsigned int num_datum = sizeof(data009)
|
688 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
689 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
690 |
|
|
{
|
691 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data009[i].a), Tp(data009[i].c),
|
692 |
|
|
Tp(data009[i].x));
|
693 |
|
|
const Tp f0 = data009[i].f0;
|
694 |
|
|
const Tp diff = f - f0;
|
695 |
|
|
if (std::abs(diff) > max_abs_diff)
|
696 |
|
|
max_abs_diff = std::abs(diff);
|
697 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
698 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
699 |
|
|
{
|
700 |
|
|
const Tp frac = diff / f0;
|
701 |
|
|
if (std::abs(frac) > max_abs_frac)
|
702 |
|
|
max_abs_frac = std::abs(frac);
|
703 |
|
|
}
|
704 |
|
|
}
|
705 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
706 |
|
|
}
|
707 |
|
|
|
708 |
|
|
// Test data for a=0.0000000000000000, c=10.000000000000000.
|
709 |
|
|
testcase_conf_hyperg<double> data010[] = {
|
710 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
711 |
|
|
-10.000000000000000 },
|
712 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
713 |
|
|
-9.0000000000000000 },
|
714 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
715 |
|
|
-8.0000000000000000 },
|
716 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
717 |
|
|
-7.0000000000000000 },
|
718 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
719 |
|
|
-6.0000000000000000 },
|
720 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
721 |
|
|
-5.0000000000000000 },
|
722 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
723 |
|
|
-4.0000000000000000 },
|
724 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
725 |
|
|
-3.0000000000000000 },
|
726 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
727 |
|
|
-2.0000000000000000 },
|
728 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
729 |
|
|
-1.0000000000000000 },
|
730 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
731 |
|
|
0.0000000000000000 },
|
732 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
733 |
|
|
1.0000000000000000 },
|
734 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
735 |
|
|
2.0000000000000000 },
|
736 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
737 |
|
|
3.0000000000000000 },
|
738 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
739 |
|
|
4.0000000000000000 },
|
740 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
741 |
|
|
5.0000000000000000 },
|
742 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
743 |
|
|
6.0000000000000000 },
|
744 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
745 |
|
|
7.0000000000000000 },
|
746 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
747 |
|
|
8.0000000000000000 },
|
748 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
749 |
|
|
9.0000000000000000 },
|
750 |
|
|
{ 1.0000000000000000, 0.0000000000000000, 10.000000000000000,
|
751 |
|
|
10.000000000000000 },
|
752 |
|
|
};
|
753 |
|
|
|
754 |
|
|
// Test function for a=0.0000000000000000, c=10.000000000000000.
|
755 |
|
|
template <typename Tp>
|
756 |
|
|
void test010()
|
757 |
|
|
{
|
758 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
759 |
|
|
Tp max_abs_diff = -Tp(1);
|
760 |
|
|
Tp max_abs_frac = -Tp(1);
|
761 |
|
|
unsigned int num_datum = sizeof(data010)
|
762 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
763 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
764 |
|
|
{
|
765 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data010[i].a), Tp(data010[i].c),
|
766 |
|
|
Tp(data010[i].x));
|
767 |
|
|
const Tp f0 = data010[i].f0;
|
768 |
|
|
const Tp diff = f - f0;
|
769 |
|
|
if (std::abs(diff) > max_abs_diff)
|
770 |
|
|
max_abs_diff = std::abs(diff);
|
771 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
772 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
773 |
|
|
{
|
774 |
|
|
const Tp frac = diff / f0;
|
775 |
|
|
if (std::abs(frac) > max_abs_frac)
|
776 |
|
|
max_abs_frac = std::abs(frac);
|
777 |
|
|
}
|
778 |
|
|
}
|
779 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
780 |
|
|
}
|
781 |
|
|
|
782 |
|
|
// Test data for a=0.50000000000000000, c=1.0000000000000000.
|
783 |
|
|
testcase_conf_hyperg<double> data011[] = {
|
784 |
|
|
{ 0.18354081260932853, 0.50000000000000000, 1.0000000000000000,
|
785 |
|
|
-10.000000000000000 },
|
786 |
|
|
{ 0.19419827762834704, 0.50000000000000000, 1.0000000000000000,
|
787 |
|
|
-9.0000000000000000 },
|
788 |
|
|
{ 0.20700192122398287, 0.50000000000000000, 1.0000000000000000,
|
789 |
|
|
-8.0000000000000000 },
|
790 |
|
|
{ 0.22280243801078498, 0.50000000000000000, 1.0000000000000000,
|
791 |
|
|
-7.0000000000000000 },
|
792 |
|
|
{ 0.24300035416182644, 0.50000000000000000, 1.0000000000000000,
|
793 |
|
|
-6.0000000000000000 },
|
794 |
|
|
{ 0.27004644161220326, 0.50000000000000000, 1.0000000000000000,
|
795 |
|
|
-5.0000000000000000 },
|
796 |
|
|
{ 0.30850832255367100, 0.50000000000000000, 1.0000000000000000,
|
797 |
|
|
-4.0000000000000000 },
|
798 |
|
|
{ 0.36743360905415834, 0.50000000000000000, 1.0000000000000000,
|
799 |
|
|
-3.0000000000000000 },
|
800 |
|
|
{ 0.46575960759364043, 0.50000000000000000, 1.0000000000000000,
|
801 |
|
|
-2.0000000000000000 },
|
802 |
|
|
{ 0.64503527044915010, 0.50000000000000000, 1.0000000000000000,
|
803 |
|
|
-1.0000000000000000 },
|
804 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 1.0000000000000000,
|
805 |
|
|
0.0000000000000000 },
|
806 |
|
|
{ 1.7533876543770910, 0.50000000000000000, 1.0000000000000000,
|
807 |
|
|
1.0000000000000000 },
|
808 |
|
|
{ 3.4415238691253336, 0.50000000000000000, 1.0000000000000000,
|
809 |
|
|
2.0000000000000000 },
|
810 |
|
|
{ 7.3801013214774045, 0.50000000000000000, 1.0000000000000000,
|
811 |
|
|
3.0000000000000000 },
|
812 |
|
|
{ 16.843983681258987, 0.50000000000000000, 1.0000000000000000,
|
813 |
|
|
4.0000000000000000 },
|
814 |
|
|
{ 40.078445504076413, 0.50000000000000000, 1.0000000000000000,
|
815 |
|
|
5.0000000000000000 },
|
816 |
|
|
{ 98.033339697812551, 0.50000000000000000, 1.0000000000000000,
|
817 |
|
|
6.0000000000000000 },
|
818 |
|
|
{ 244.33254130132133, 0.50000000000000000, 1.0000000000000000,
|
819 |
|
|
7.0000000000000000 },
|
820 |
|
|
{ 617.06403040562418, 0.50000000000000000, 1.0000000000000000,
|
821 |
|
|
8.0000000000000000 },
|
822 |
|
|
{ 1573.6049422133683, 0.50000000000000000, 1.0000000000000000,
|
823 |
|
|
9.0000000000000000 },
|
824 |
|
|
{ 4042.7554308904046, 0.50000000000000000, 1.0000000000000000,
|
825 |
|
|
10.000000000000000 },
|
826 |
|
|
};
|
827 |
|
|
|
828 |
|
|
// Test function for a=0.50000000000000000, c=1.0000000000000000.
|
829 |
|
|
template <typename Tp>
|
830 |
|
|
void test011()
|
831 |
|
|
{
|
832 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
833 |
|
|
Tp max_abs_diff = -Tp(1);
|
834 |
|
|
Tp max_abs_frac = -Tp(1);
|
835 |
|
|
unsigned int num_datum = sizeof(data011)
|
836 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
837 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
838 |
|
|
{
|
839 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data011[i].a), Tp(data011[i].c),
|
840 |
|
|
Tp(data011[i].x));
|
841 |
|
|
const Tp f0 = data011[i].f0;
|
842 |
|
|
const Tp diff = f - f0;
|
843 |
|
|
if (std::abs(diff) > max_abs_diff)
|
844 |
|
|
max_abs_diff = std::abs(diff);
|
845 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
846 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
847 |
|
|
{
|
848 |
|
|
const Tp frac = diff / f0;
|
849 |
|
|
if (std::abs(frac) > max_abs_frac)
|
850 |
|
|
max_abs_frac = std::abs(frac);
|
851 |
|
|
}
|
852 |
|
|
}
|
853 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000006e-11));
|
854 |
|
|
}
|
855 |
|
|
|
856 |
|
|
// Test data for a=0.50000000000000000, c=2.0000000000000000.
|
857 |
|
|
testcase_conf_hyperg<double> data012[] = {
|
858 |
|
|
{ 0.34751307955387079, 0.50000000000000000, 2.0000000000000000,
|
859 |
|
|
-10.000000000000000 },
|
860 |
|
|
{ 0.36515709992587503, 0.50000000000000000, 2.0000000000000000,
|
861 |
|
|
-9.0000000000000000 },
|
862 |
|
|
{ 0.38575276072642301, 0.50000000000000000, 2.0000000000000000,
|
863 |
|
|
-8.0000000000000000 },
|
864 |
|
|
{ 0.41020241461382889, 0.50000000000000000, 2.0000000000000000,
|
865 |
|
|
-7.0000000000000000 },
|
866 |
|
|
{ 0.43982706745912625, 0.50000000000000000, 2.0000000000000000,
|
867 |
|
|
-6.0000000000000000 },
|
868 |
|
|
{ 0.47663109114346930, 0.50000000000000000, 2.0000000000000000,
|
869 |
|
|
-5.0000000000000000 },
|
870 |
|
|
{ 0.52377761180260862, 0.50000000000000000, 2.0000000000000000,
|
871 |
|
|
-4.0000000000000000 },
|
872 |
|
|
{ 0.58647299647508400, 0.50000000000000000, 2.0000000000000000,
|
873 |
|
|
-3.0000000000000000 },
|
874 |
|
|
{ 0.67367002294334866, 0.50000000000000000, 2.0000000000000000,
|
875 |
|
|
-2.0000000000000000 },
|
876 |
|
|
{ 0.80145607363402172, 0.50000000000000000, 2.0000000000000000,
|
877 |
|
|
-1.0000000000000000 },
|
878 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 2.0000000000000000,
|
879 |
|
|
0.0000000000000000 },
|
880 |
|
|
{ 1.3281918274866849, 0.50000000000000000, 2.0000000000000000,
|
881 |
|
|
1.0000000000000000 },
|
882 |
|
|
{ 1.9052621465543667, 0.50000000000000000, 2.0000000000000000,
|
883 |
|
|
2.0000000000000000 },
|
884 |
|
|
{ 2.9805776178019903, 0.50000000000000000, 2.0000000000000000,
|
885 |
|
|
3.0000000000000000 },
|
886 |
|
|
{ 5.0906787293171654, 0.50000000000000000, 2.0000000000000000,
|
887 |
|
|
4.0000000000000000 },
|
888 |
|
|
{ 9.4185650450425964, 0.50000000000000000, 2.0000000000000000,
|
889 |
|
|
5.0000000000000000 },
|
890 |
|
|
{ 18.627776225141986, 0.50000000000000000, 2.0000000000000000,
|
891 |
|
|
6.0000000000000000 },
|
892 |
|
|
{ 38.823513069699615, 0.50000000000000000, 2.0000000000000000,
|
893 |
|
|
7.0000000000000000 },
|
894 |
|
|
{ 84.215287700426927, 0.50000000000000000, 2.0000000000000000,
|
895 |
|
|
8.0000000000000000 },
|
896 |
|
|
{ 188.31125697734240, 0.50000000000000000, 2.0000000000000000,
|
897 |
|
|
9.0000000000000000 },
|
898 |
|
|
{ 431.02590173952245, 0.50000000000000000, 2.0000000000000000,
|
899 |
|
|
10.000000000000000 },
|
900 |
|
|
};
|
901 |
|
|
|
902 |
|
|
// Test function for a=0.50000000000000000, c=2.0000000000000000.
|
903 |
|
|
template <typename Tp>
|
904 |
|
|
void test012()
|
905 |
|
|
{
|
906 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
907 |
|
|
Tp max_abs_diff = -Tp(1);
|
908 |
|
|
Tp max_abs_frac = -Tp(1);
|
909 |
|
|
unsigned int num_datum = sizeof(data012)
|
910 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
911 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
912 |
|
|
{
|
913 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data012[i].a), Tp(data012[i].c),
|
914 |
|
|
Tp(data012[i].x));
|
915 |
|
|
const Tp f0 = data012[i].f0;
|
916 |
|
|
const Tp diff = f - f0;
|
917 |
|
|
if (std::abs(diff) > max_abs_diff)
|
918 |
|
|
max_abs_diff = std::abs(diff);
|
919 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
920 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
921 |
|
|
{
|
922 |
|
|
const Tp frac = diff / f0;
|
923 |
|
|
if (std::abs(frac) > max_abs_frac)
|
924 |
|
|
max_abs_frac = std::abs(frac);
|
925 |
|
|
}
|
926 |
|
|
}
|
927 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
928 |
|
|
}
|
929 |
|
|
|
930 |
|
|
// Test data for a=0.50000000000000000, c=3.0000000000000000.
|
931 |
|
|
testcase_conf_hyperg<double> data013[] = {
|
932 |
|
|
{ 0.44148780381255515, 0.50000000000000000, 3.0000000000000000,
|
933 |
|
|
-10.000000000000000 },
|
934 |
|
|
{ 0.46154890030153722, 0.50000000000000000, 3.0000000000000000,
|
935 |
|
|
-9.0000000000000000 },
|
936 |
|
|
{ 0.48454520771815751, 0.50000000000000000, 3.0000000000000000,
|
937 |
|
|
-8.0000000000000000 },
|
938 |
|
|
{ 0.51124131917976301, 0.50000000000000000, 3.0000000000000000,
|
939 |
|
|
-7.0000000000000000 },
|
940 |
|
|
{ 0.54269682032387934, 0.50000000000000000, 3.0000000000000000,
|
941 |
|
|
-6.0000000000000000 },
|
942 |
|
|
{ 0.58041888164962119, 0.50000000000000000, 3.0000000000000000,
|
943 |
|
|
-5.0000000000000000 },
|
944 |
|
|
{ 0.62661371932049892, 0.50000000000000000, 3.0000000000000000,
|
945 |
|
|
-4.0000000000000000 },
|
946 |
|
|
{ 0.68461315644636744, 0.50000000000000000, 3.0000000000000000,
|
947 |
|
|
-3.0000000000000000 },
|
948 |
|
|
{ 0.75961975369132639, 0.50000000000000000, 3.0000000000000000,
|
949 |
|
|
-2.0000000000000000 },
|
950 |
|
|
{ 0.86004702726553350, 0.50000000000000000, 3.0000000000000000,
|
951 |
|
|
-1.0000000000000000 },
|
952 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 3.0000000000000000,
|
953 |
|
|
0.0000000000000000 },
|
954 |
|
|
{ 1.2039946674617061, 0.50000000000000000, 3.0000000000000000,
|
955 |
|
|
1.0000000000000000 },
|
956 |
|
|
{ 1.5161750470251780, 0.50000000000000000, 3.0000000000000000,
|
957 |
|
|
2.0000000000000000 },
|
958 |
|
|
{ 2.0187596221024697, 0.50000000000000000, 3.0000000000000000,
|
959 |
|
|
3.0000000000000000 },
|
960 |
|
|
{ 2.8698033217756134, 0.50000000000000000, 3.0000000000000000,
|
961 |
|
|
4.0000000000000000 },
|
962 |
|
|
{ 4.3821186043144440, 0.50000000000000000, 3.0000000000000000,
|
963 |
|
|
5.0000000000000000 },
|
964 |
|
|
{ 7.1913541951514128, 0.50000000000000000, 3.0000000000000000,
|
965 |
|
|
6.0000000000000000 },
|
966 |
|
|
{ 12.620107286909638, 0.50000000000000000, 3.0000000000000000,
|
967 |
|
|
7.0000000000000000 },
|
968 |
|
|
{ 23.478926483036350, 0.50000000000000000, 3.0000000000000000,
|
969 |
|
|
8.0000000000000000 },
|
970 |
|
|
{ 45.852981860749004, 0.50000000000000000, 3.0000000000000000,
|
971 |
|
|
9.0000000000000000 },
|
972 |
|
|
{ 93.137265099245667, 0.50000000000000000, 3.0000000000000000,
|
973 |
|
|
10.000000000000000 },
|
974 |
|
|
};
|
975 |
|
|
|
976 |
|
|
// Test function for a=0.50000000000000000, c=3.0000000000000000.
|
977 |
|
|
template <typename Tp>
|
978 |
|
|
void test013()
|
979 |
|
|
{
|
980 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
981 |
|
|
Tp max_abs_diff = -Tp(1);
|
982 |
|
|
Tp max_abs_frac = -Tp(1);
|
983 |
|
|
unsigned int num_datum = sizeof(data013)
|
984 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
985 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
986 |
|
|
{
|
987 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data013[i].a), Tp(data013[i].c),
|
988 |
|
|
Tp(data013[i].x));
|
989 |
|
|
const Tp f0 = data013[i].f0;
|
990 |
|
|
const Tp diff = f - f0;
|
991 |
|
|
if (std::abs(diff) > max_abs_diff)
|
992 |
|
|
max_abs_diff = std::abs(diff);
|
993 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
994 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
995 |
|
|
{
|
996 |
|
|
const Tp frac = diff / f0;
|
997 |
|
|
if (std::abs(frac) > max_abs_frac)
|
998 |
|
|
max_abs_frac = std::abs(frac);
|
999 |
|
|
}
|
1000 |
|
|
}
|
1001 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1002 |
|
|
}
|
1003 |
|
|
|
1004 |
|
|
// Test data for a=0.50000000000000000, c=4.0000000000000000.
|
1005 |
|
|
testcase_conf_hyperg<double> data014[] = {
|
1006 |
|
|
{ 0.50723143075298227, 0.50000000000000000, 4.0000000000000000,
|
1007 |
|
|
-10.000000000000000 },
|
1008 |
|
|
{ 0.52815420026166782, 0.50000000000000000, 4.0000000000000000,
|
1009 |
|
|
-9.0000000000000000 },
|
1010 |
|
|
{ 0.55181651516426766, 0.50000000000000000, 4.0000000000000000,
|
1011 |
|
|
-8.0000000000000000 },
|
1012 |
|
|
{ 0.57884767287882366, 0.50000000000000000, 4.0000000000000000,
|
1013 |
|
|
-7.0000000000000000 },
|
1014 |
|
|
{ 0.61008828324275399, 0.50000000000000000, 4.0000000000000000,
|
1015 |
|
|
-6.0000000000000000 },
|
1016 |
|
|
{ 0.64668451853659259, 0.50000000000000000, 4.0000000000000000,
|
1017 |
|
|
-5.0000000000000000 },
|
1018 |
|
|
{ 0.69023479867386495, 0.50000000000000000, 4.0000000000000000,
|
1019 |
|
|
-4.0000000000000000 },
|
1020 |
|
|
{ 0.74302365975861406, 0.50000000000000000, 4.0000000000000000,
|
1021 |
|
|
-3.0000000000000000 },
|
1022 |
|
|
{ 0.80840402753201868, 0.50000000000000000, 4.0000000000000000,
|
1023 |
|
|
-2.0000000000000000 },
|
1024 |
|
|
{ 0.89143814400301236, 0.50000000000000000, 4.0000000000000000,
|
1025 |
|
|
-1.0000000000000000 },
|
1026 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 4.0000000000000000,
|
1027 |
|
|
0.0000000000000000 },
|
1028 |
|
|
{ 1.1467204168940972, 0.50000000000000000, 4.0000000000000000,
|
1029 |
|
|
1.0000000000000000 },
|
1030 |
|
|
{ 1.3525055369951857, 0.50000000000000000, 4.0000000000000000,
|
1031 |
|
|
2.0000000000000000 },
|
1032 |
|
|
{ 1.6530571499633475, 0.50000000000000000, 4.0000000000000000,
|
1033 |
|
|
3.0000000000000000 },
|
1034 |
|
|
{ 2.1112387416058045, 0.50000000000000000, 4.0000000000000000,
|
1035 |
|
|
4.0000000000000000 },
|
1036 |
|
|
{ 2.8410480336278194, 0.50000000000000000, 4.0000000000000000,
|
1037 |
|
|
5.0000000000000000 },
|
1038 |
|
|
{ 4.0550562221854669, 0.50000000000000000, 4.0000000000000000,
|
1039 |
|
|
6.0000000000000000 },
|
1040 |
|
|
{ 6.1601039044778592, 0.50000000000000000, 4.0000000000000000,
|
1041 |
|
|
7.0000000000000000 },
|
1042 |
|
|
{ 9.9538034144264458, 0.50000000000000000, 4.0000000000000000,
|
1043 |
|
|
8.0000000000000000 },
|
1044 |
|
|
{ 17.034704868473899, 0.50000000000000000, 4.0000000000000000,
|
1045 |
|
|
9.0000000000000000 },
|
1046 |
|
|
{ 30.671445325428369, 0.50000000000000000, 4.0000000000000000,
|
1047 |
|
|
10.000000000000000 },
|
1048 |
|
|
};
|
1049 |
|
|
|
1050 |
|
|
// Test function for a=0.50000000000000000, c=4.0000000000000000.
|
1051 |
|
|
template <typename Tp>
|
1052 |
|
|
void test014()
|
1053 |
|
|
{
|
1054 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1055 |
|
|
Tp max_abs_diff = -Tp(1);
|
1056 |
|
|
Tp max_abs_frac = -Tp(1);
|
1057 |
|
|
unsigned int num_datum = sizeof(data014)
|
1058 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1059 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1060 |
|
|
{
|
1061 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data014[i].a), Tp(data014[i].c),
|
1062 |
|
|
Tp(data014[i].x));
|
1063 |
|
|
const Tp f0 = data014[i].f0;
|
1064 |
|
|
const Tp diff = f - f0;
|
1065 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1066 |
|
|
max_abs_diff = std::abs(diff);
|
1067 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1068 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1069 |
|
|
{
|
1070 |
|
|
const Tp frac = diff / f0;
|
1071 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1072 |
|
|
max_abs_frac = std::abs(frac);
|
1073 |
|
|
}
|
1074 |
|
|
}
|
1075 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1076 |
|
|
}
|
1077 |
|
|
|
1078 |
|
|
// Test data for a=0.50000000000000000, c=5.0000000000000000.
|
1079 |
|
|
testcase_conf_hyperg<double> data015[] = {
|
1080 |
|
|
{ 0.55715239162383312, 0.50000000000000000, 5.0000000000000000,
|
1081 |
|
|
-10.000000000000000 },
|
1082 |
|
|
{ 0.57823135269518977, 0.50000000000000000, 5.0000000000000000,
|
1083 |
|
|
-9.0000000000000000 },
|
1084 |
|
|
{ 0.60181688556797253, 0.50000000000000000, 5.0000000000000000,
|
1085 |
|
|
-8.0000000000000000 },
|
1086 |
|
|
{ 0.62842688147829928, 0.50000000000000000, 5.0000000000000000,
|
1087 |
|
|
-7.0000000000000000 },
|
1088 |
|
|
{ 0.65873434489521876, 0.50000000000000000, 5.0000000000000000,
|
1089 |
|
|
-6.0000000000000000 },
|
1090 |
|
|
{ 0.69362872731932568, 0.50000000000000000, 5.0000000000000000,
|
1091 |
|
|
-5.0000000000000000 },
|
1092 |
|
|
{ 0.73430741618153195, 0.50000000000000000, 5.0000000000000000,
|
1093 |
|
|
-4.0000000000000000 },
|
1094 |
|
|
{ 0.78241503593870543, 0.50000000000000000, 5.0000000000000000,
|
1095 |
|
|
-3.0000000000000000 },
|
1096 |
|
|
{ 0.84026013345254857, 0.50000000000000000, 5.0000000000000000,
|
1097 |
|
|
-2.0000000000000000 },
|
1098 |
|
|
{ 0.91115976433208690, 0.50000000000000000, 5.0000000000000000,
|
1099 |
|
|
-1.0000000000000000 },
|
1100 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 5.0000000000000000,
|
1101 |
|
|
0.0000000000000000 },
|
1102 |
|
|
{ 1.1141687602185972, 0.50000000000000000, 5.0000000000000000,
|
1103 |
|
|
1.0000000000000000 },
|
1104 |
|
|
{ 1.2651443108002267, 0.50000000000000000, 5.0000000000000000,
|
1105 |
|
|
2.0000000000000000 },
|
1106 |
|
|
{ 1.4712624889419719, 0.50000000000000000, 5.0000000000000000,
|
1107 |
|
|
3.0000000000000000 },
|
1108 |
|
|
{ 1.7626460645467978, 0.50000000000000000, 5.0000000000000000,
|
1109 |
|
|
4.0000000000000000 },
|
1110 |
|
|
{ 2.1901779328181084, 0.50000000000000000, 5.0000000000000000,
|
1111 |
|
|
5.0000000000000000 },
|
1112 |
|
|
{ 2.8421796979457072, 0.50000000000000000, 5.0000000000000000,
|
1113 |
|
|
6.0000000000000000 },
|
1114 |
|
|
{ 3.8760354586203549, 0.50000000000000000, 5.0000000000000000,
|
1115 |
|
|
7.0000000000000000 },
|
1116 |
|
|
{ 5.5792940156545505, 0.50000000000000000, 5.0000000000000000,
|
1117 |
|
|
8.0000000000000000 },
|
1118 |
|
|
{ 8.4898429002463196, 0.50000000000000000, 5.0000000000000000,
|
1119 |
|
|
9.0000000000000000 },
|
1120 |
|
|
{ 13.636227878037923, 0.50000000000000000, 5.0000000000000000,
|
1121 |
|
|
10.000000000000000 },
|
1122 |
|
|
};
|
1123 |
|
|
|
1124 |
|
|
// Test function for a=0.50000000000000000, c=5.0000000000000000.
|
1125 |
|
|
template <typename Tp>
|
1126 |
|
|
void test015()
|
1127 |
|
|
{
|
1128 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1129 |
|
|
Tp max_abs_diff = -Tp(1);
|
1130 |
|
|
Tp max_abs_frac = -Tp(1);
|
1131 |
|
|
unsigned int num_datum = sizeof(data015)
|
1132 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1133 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1134 |
|
|
{
|
1135 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data015[i].a), Tp(data015[i].c),
|
1136 |
|
|
Tp(data015[i].x));
|
1137 |
|
|
const Tp f0 = data015[i].f0;
|
1138 |
|
|
const Tp diff = f - f0;
|
1139 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1140 |
|
|
max_abs_diff = std::abs(diff);
|
1141 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1142 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1143 |
|
|
{
|
1144 |
|
|
const Tp frac = diff / f0;
|
1145 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1146 |
|
|
max_abs_frac = std::abs(frac);
|
1147 |
|
|
}
|
1148 |
|
|
}
|
1149 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1150 |
|
|
}
|
1151 |
|
|
|
1152 |
|
|
// Test data for a=0.50000000000000000, c=6.0000000000000000.
|
1153 |
|
|
testcase_conf_hyperg<double> data016[] = {
|
1154 |
|
|
{ 0.59687111919499192, 0.50000000000000000, 6.0000000000000000,
|
1155 |
|
|
-10.000000000000000 },
|
1156 |
|
|
{ 0.61774982278057033, 0.50000000000000000, 6.0000000000000000,
|
1157 |
|
|
-9.0000000000000000 },
|
1158 |
|
|
{ 0.64090744485124451, 0.50000000000000000, 6.0000000000000000,
|
1159 |
|
|
-8.0000000000000000 },
|
1160 |
|
|
{ 0.66677322792860194, 0.50000000000000000, 6.0000000000000000,
|
1161 |
|
|
-7.0000000000000000 },
|
1162 |
|
|
{ 0.69589293014100995, 0.50000000000000000, 6.0000000000000000,
|
1163 |
|
|
-6.0000000000000000 },
|
1164 |
|
|
{ 0.72897040032571048, 0.50000000000000000, 6.0000000000000000,
|
1165 |
|
|
-5.0000000000000000 },
|
1166 |
|
|
{ 0.76692755408207181, 0.50000000000000000, 6.0000000000000000,
|
1167 |
|
|
-4.0000000000000000 },
|
1168 |
|
|
{ 0.81099244559101891, 0.50000000000000000, 6.0000000000000000,
|
1169 |
|
|
-3.0000000000000000 },
|
1170 |
|
|
{ 0.86283102401276535, 0.50000000000000000, 6.0000000000000000,
|
1171 |
|
|
-2.0000000000000000 },
|
1172 |
|
|
{ 0.92474809223976406, 0.50000000000000000, 6.0000000000000000,
|
1173 |
|
|
-1.0000000000000000 },
|
1174 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 6.0000000000000000,
|
1175 |
|
|
0.0000000000000000 },
|
1176 |
|
|
{ 1.0932912594628821, 0.50000000000000000, 6.0000000000000000,
|
1177 |
|
|
1.0000000000000000 },
|
1178 |
|
|
{ 1.2115798426781204, 0.50000000000000000, 6.0000000000000000,
|
1179 |
|
|
2.0000000000000000 },
|
1180 |
|
|
{ 1.3654106750890422, 0.50000000000000000, 6.0000000000000000,
|
1181 |
|
|
3.0000000000000000 },
|
1182 |
|
|
{ 1.5711704305419896, 0.50000000000000000, 6.0000000000000000,
|
1183 |
|
|
4.0000000000000000 },
|
1184 |
|
|
{ 1.8549798357448213, 0.50000000000000000, 6.0000000000000000,
|
1185 |
|
|
5.0000000000000000 },
|
1186 |
|
|
{ 2.2595503871694818, 0.50000000000000000, 6.0000000000000000,
|
1187 |
|
|
6.0000000000000000 },
|
1188 |
|
|
{ 2.8565038772876936, 0.50000000000000000, 6.0000000000000000,
|
1189 |
|
|
7.0000000000000000 },
|
1190 |
|
|
{ 3.7689325736317811, 0.50000000000000000, 6.0000000000000000,
|
1191 |
|
|
8.0000000000000000 },
|
1192 |
|
|
{ 5.2134738554699460, 0.50000000000000000, 6.0000000000000000,
|
1193 |
|
|
9.0000000000000000 },
|
1194 |
|
|
{ 7.5801565545352725, 0.50000000000000000, 6.0000000000000000,
|
1195 |
|
|
10.000000000000000 },
|
1196 |
|
|
};
|
1197 |
|
|
|
1198 |
|
|
// Test function for a=0.50000000000000000, c=6.0000000000000000.
|
1199 |
|
|
template <typename Tp>
|
1200 |
|
|
void test016()
|
1201 |
|
|
{
|
1202 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1203 |
|
|
Tp max_abs_diff = -Tp(1);
|
1204 |
|
|
Tp max_abs_frac = -Tp(1);
|
1205 |
|
|
unsigned int num_datum = sizeof(data016)
|
1206 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1207 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1208 |
|
|
{
|
1209 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data016[i].a), Tp(data016[i].c),
|
1210 |
|
|
Tp(data016[i].x));
|
1211 |
|
|
const Tp f0 = data016[i].f0;
|
1212 |
|
|
const Tp diff = f - f0;
|
1213 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1214 |
|
|
max_abs_diff = std::abs(diff);
|
1215 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1216 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1217 |
|
|
{
|
1218 |
|
|
const Tp frac = diff / f0;
|
1219 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1220 |
|
|
max_abs_frac = std::abs(frac);
|
1221 |
|
|
}
|
1222 |
|
|
}
|
1223 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1224 |
|
|
}
|
1225 |
|
|
|
1226 |
|
|
// Test data for a=0.50000000000000000, c=7.0000000000000000.
|
1227 |
|
|
testcase_conf_hyperg<double> data017[] = {
|
1228 |
|
|
{ 0.62946736953754090, 0.50000000000000000, 7.0000000000000000,
|
1229 |
|
|
-10.000000000000000 },
|
1230 |
|
|
{ 0.64995830964827050, 0.50000000000000000, 7.0000000000000000,
|
1231 |
|
|
-9.0000000000000000 },
|
1232 |
|
|
{ 0.67251910396276349, 0.50000000000000000, 7.0000000000000000,
|
1233 |
|
|
-8.0000000000000000 },
|
1234 |
|
|
{ 0.69750870596083636, 0.50000000000000000, 7.0000000000000000,
|
1235 |
|
|
-7.0000000000000000 },
|
1236 |
|
|
{ 0.72537539174856436, 0.50000000000000000, 7.0000000000000000,
|
1237 |
|
|
-6.0000000000000000 },
|
1238 |
|
|
{ 0.75668588434835504, 0.50000000000000000, 7.0000000000000000,
|
1239 |
|
|
-5.0000000000000000 },
|
1240 |
|
|
{ 0.79216623458879654, 0.50000000000000000, 7.0000000000000000,
|
1241 |
|
|
-4.0000000000000000 },
|
1242 |
|
|
{ 0.83276010491326891, 0.50000000000000000, 7.0000000000000000,
|
1243 |
|
|
-3.0000000000000000 },
|
1244 |
|
|
{ 0.87971323375878940, 0.50000000000000000, 7.0000000000000000,
|
1245 |
|
|
-2.0000000000000000 },
|
1246 |
|
|
{ 0.93469794840150233, 0.50000000000000000, 7.0000000000000000,
|
1247 |
|
|
-1.0000000000000000 },
|
1248 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 7.0000000000000000,
|
1249 |
|
|
0.0000000000000000 },
|
1250 |
|
|
{ 1.0788040971101556, 0.50000000000000000, 7.0000000000000000,
|
1251 |
|
|
1.0000000000000000 },
|
1252 |
|
|
{ 1.1756385516794761, 0.50000000000000000, 7.0000000000000000,
|
1253 |
|
|
2.0000000000000000 },
|
1254 |
|
|
{ 1.2970810749099917, 0.50000000000000000, 7.0000000000000000,
|
1255 |
|
|
3.0000000000000000 },
|
1256 |
|
|
{ 1.4529009687665237, 0.50000000000000000, 7.0000000000000000,
|
1257 |
|
|
4.0000000000000000 },
|
1258 |
|
|
{ 1.6579437149144023, 0.50000000000000000, 7.0000000000000000,
|
1259 |
|
|
5.0000000000000000 },
|
1260 |
|
|
{ 1.9353010489337750, 0.50000000000000000, 7.0000000000000000,
|
1261 |
|
|
6.0000000000000000 },
|
1262 |
|
|
{ 2.3217458547039813, 0.50000000000000000, 7.0000000000000000,
|
1263 |
|
|
7.0000000000000000 },
|
1264 |
|
|
{ 2.8772254607646004, 0.50000000000000000, 7.0000000000000000,
|
1265 |
|
|
8.0000000000000000 },
|
1266 |
|
|
{ 3.7017478151936545, 0.50000000000000000, 7.0000000000000000,
|
1267 |
|
|
9.0000000000000000 },
|
1268 |
|
|
{ 4.9659500648552148, 0.50000000000000000, 7.0000000000000000,
|
1269 |
|
|
10.000000000000000 },
|
1270 |
|
|
};
|
1271 |
|
|
|
1272 |
|
|
// Test function for a=0.50000000000000000, c=7.0000000000000000.
|
1273 |
|
|
template <typename Tp>
|
1274 |
|
|
void test017()
|
1275 |
|
|
{
|
1276 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1277 |
|
|
Tp max_abs_diff = -Tp(1);
|
1278 |
|
|
Tp max_abs_frac = -Tp(1);
|
1279 |
|
|
unsigned int num_datum = sizeof(data017)
|
1280 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1281 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1282 |
|
|
{
|
1283 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data017[i].a), Tp(data017[i].c),
|
1284 |
|
|
Tp(data017[i].x));
|
1285 |
|
|
const Tp f0 = data017[i].f0;
|
1286 |
|
|
const Tp diff = f - f0;
|
1287 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1288 |
|
|
max_abs_diff = std::abs(diff);
|
1289 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1290 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1291 |
|
|
{
|
1292 |
|
|
const Tp frac = diff / f0;
|
1293 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1294 |
|
|
max_abs_frac = std::abs(frac);
|
1295 |
|
|
}
|
1296 |
|
|
}
|
1297 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1298 |
|
|
}
|
1299 |
|
|
|
1300 |
|
|
// Test data for a=0.50000000000000000, c=8.0000000000000000.
|
1301 |
|
|
testcase_conf_hyperg<double> data018[] = {
|
1302 |
|
|
{ 0.65682574389601245, 0.50000000000000000, 8.0000000000000000,
|
1303 |
|
|
-10.000000000000000 },
|
1304 |
|
|
{ 0.67683106084440448, 0.50000000000000000, 8.0000000000000000,
|
1305 |
|
|
-9.0000000000000000 },
|
1306 |
|
|
{ 0.69871884883136481, 0.50000000000000000, 8.0000000000000000,
|
1307 |
|
|
-8.0000000000000000 },
|
1308 |
|
|
{ 0.72279201131268422, 0.50000000000000000, 8.0000000000000000,
|
1309 |
|
|
-7.0000000000000000 },
|
1310 |
|
|
{ 0.74942315553647221, 0.50000000000000000, 8.0000000000000000,
|
1311 |
|
|
-6.0000000000000000 },
|
1312 |
|
|
{ 0.77907555763819503, 0.50000000000000000, 8.0000000000000000,
|
1313 |
|
|
-5.0000000000000000 },
|
1314 |
|
|
{ 0.81233192258476394, 0.50000000000000000, 8.0000000000000000,
|
1315 |
|
|
-4.0000000000000000 },
|
1316 |
|
|
{ 0.84993438521252052, 0.50000000000000000, 8.0000000000000000,
|
1317 |
|
|
-3.0000000000000000 },
|
1318 |
|
|
{ 0.89284095871461888, 0.50000000000000000, 8.0000000000000000,
|
1319 |
|
|
-2.0000000000000000 },
|
1320 |
|
|
{ 0.94230641231038748, 0.50000000000000000, 8.0000000000000000,
|
1321 |
|
|
-1.0000000000000000 },
|
1322 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 8.0000000000000000,
|
1323 |
|
|
0.0000000000000000 },
|
1324 |
|
|
{ 1.0681796709163929, 0.50000000000000000, 8.0000000000000000,
|
1325 |
|
|
1.0000000000000000 },
|
1326 |
|
|
{ 1.1499542693515108, 0.50000000000000000, 8.0000000000000000,
|
1327 |
|
|
2.0000000000000000 },
|
1328 |
|
|
{ 1.2496850956712680, 0.50000000000000000, 8.0000000000000000,
|
1329 |
|
|
3.0000000000000000 },
|
1330 |
|
|
{ 1.3736119127266571, 0.50000000000000000, 8.0000000000000000,
|
1331 |
|
|
4.0000000000000000 },
|
1332 |
|
|
{ 1.5308465522192733, 0.50000000000000000, 8.0000000000000000,
|
1333 |
|
|
5.0000000000000000 },
|
1334 |
|
|
{ 1.7349787653671500, 0.50000000000000000, 8.0000000000000000,
|
1335 |
|
|
6.0000000000000000 },
|
1336 |
|
|
{ 2.0067188996039378, 0.50000000000000000, 8.0000000000000000,
|
1337 |
|
|
7.0000000000000000 },
|
1338 |
|
|
{ 2.3783255204306930, 0.50000000000000000, 8.0000000000000000,
|
1339 |
|
|
8.0000000000000000 },
|
1340 |
|
|
{ 2.9011558746255721, 0.50000000000000000, 8.0000000000000000,
|
1341 |
|
|
9.0000000000000000 },
|
1342 |
|
|
{ 3.6587666457431167, 0.50000000000000000, 8.0000000000000000,
|
1343 |
|
|
10.000000000000000 },
|
1344 |
|
|
};
|
1345 |
|
|
|
1346 |
|
|
// Test function for a=0.50000000000000000, c=8.0000000000000000.
|
1347 |
|
|
template <typename Tp>
|
1348 |
|
|
void test018()
|
1349 |
|
|
{
|
1350 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1351 |
|
|
Tp max_abs_diff = -Tp(1);
|
1352 |
|
|
Tp max_abs_frac = -Tp(1);
|
1353 |
|
|
unsigned int num_datum = sizeof(data018)
|
1354 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1355 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1356 |
|
|
{
|
1357 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data018[i].a), Tp(data018[i].c),
|
1358 |
|
|
Tp(data018[i].x));
|
1359 |
|
|
const Tp f0 = data018[i].f0;
|
1360 |
|
|
const Tp diff = f - f0;
|
1361 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1362 |
|
|
max_abs_diff = std::abs(diff);
|
1363 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1364 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1365 |
|
|
{
|
1366 |
|
|
const Tp frac = diff / f0;
|
1367 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1368 |
|
|
max_abs_frac = std::abs(frac);
|
1369 |
|
|
}
|
1370 |
|
|
}
|
1371 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1372 |
|
|
}
|
1373 |
|
|
|
1374 |
|
|
// Test data for a=0.50000000000000000, c=9.0000000000000000.
|
1375 |
|
|
testcase_conf_hyperg<double> data019[] = {
|
1376 |
|
|
{ 0.68018654063475448, 0.50000000000000000, 9.0000000000000000,
|
1377 |
|
|
-10.000000000000000 },
|
1378 |
|
|
{ 0.69965870094538662, 0.50000000000000000, 9.0000000000000000,
|
1379 |
|
|
-9.0000000000000000 },
|
1380 |
|
|
{ 0.72084701020942776, 0.50000000000000000, 9.0000000000000000,
|
1381 |
|
|
-8.0000000000000000 },
|
1382 |
|
|
{ 0.74400928635822572, 0.50000000000000000, 9.0000000000000000,
|
1383 |
|
|
-7.0000000000000000 },
|
1384 |
|
|
{ 0.76945859319172982, 0.50000000000000000, 9.0000000000000000,
|
1385 |
|
|
-6.0000000000000000 },
|
1386 |
|
|
{ 0.79757868270124699, 0.50000000000000000, 9.0000000000000000,
|
1387 |
|
|
-5.0000000000000000 },
|
1388 |
|
|
{ 0.82884476649794248, 0.50000000000000000, 9.0000000000000000,
|
1389 |
|
|
-4.0000000000000000 },
|
1390 |
|
|
{ 0.86385180214855140, 0.50000000000000000, 9.0000000000000000,
|
1391 |
|
|
-3.0000000000000000 },
|
1392 |
|
|
{ 0.90335351612716308, 0.50000000000000000, 9.0000000000000000,
|
1393 |
|
|
-2.0000000000000000 },
|
1394 |
|
|
{ 0.94831697594473685, 0.50000000000000000, 9.0000000000000000,
|
1395 |
|
|
-1.0000000000000000 },
|
1396 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 9.0000000000000000,
|
1397 |
|
|
0.0000000000000000 },
|
1398 |
|
|
{ 1.0600626000640645, 0.50000000000000000, 9.0000000000000000,
|
1399 |
|
|
1.0000000000000000 },
|
1400 |
|
|
{ 1.1307298999505393, 0.50000000000000000, 9.0000000000000000,
|
1401 |
|
|
2.0000000000000000 },
|
1402 |
|
|
{ 1.2150341092774180, 0.50000000000000000, 9.0000000000000000,
|
1403 |
|
|
3.0000000000000000 },
|
1404 |
|
|
{ 1.3171798023006840, 0.50000000000000000, 9.0000000000000000,
|
1405 |
|
|
4.0000000000000000 },
|
1406 |
|
|
{ 1.4431045594091672, 0.50000000000000000, 9.0000000000000000,
|
1407 |
|
|
5.0000000000000000 },
|
1408 |
|
|
{ 1.6013540635087158, 0.50000000000000000, 9.0000000000000000,
|
1409 |
|
|
6.0000000000000000 },
|
1410 |
|
|
{ 1.8044714074708206, 0.50000000000000000, 9.0000000000000000,
|
1411 |
|
|
7.0000000000000000 },
|
1412 |
|
|
{ 2.0712406108144252, 0.50000000000000000, 9.0000000000000000,
|
1413 |
|
|
8.0000000000000000 },
|
1414 |
|
|
{ 2.4303714711293125, 0.50000000000000000, 9.0000000000000000,
|
1415 |
|
|
9.0000000000000000 },
|
1416 |
|
|
{ 2.9266541358556246, 0.50000000000000000, 9.0000000000000000,
|
1417 |
|
|
10.000000000000000 },
|
1418 |
|
|
};
|
1419 |
|
|
|
1420 |
|
|
// Test function for a=0.50000000000000000, c=9.0000000000000000.
|
1421 |
|
|
template <typename Tp>
|
1422 |
|
|
void test019()
|
1423 |
|
|
{
|
1424 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1425 |
|
|
Tp max_abs_diff = -Tp(1);
|
1426 |
|
|
Tp max_abs_frac = -Tp(1);
|
1427 |
|
|
unsigned int num_datum = sizeof(data019)
|
1428 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1429 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1430 |
|
|
{
|
1431 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data019[i].a), Tp(data019[i].c),
|
1432 |
|
|
Tp(data019[i].x));
|
1433 |
|
|
const Tp f0 = data019[i].f0;
|
1434 |
|
|
const Tp diff = f - f0;
|
1435 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1436 |
|
|
max_abs_diff = std::abs(diff);
|
1437 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1438 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1439 |
|
|
{
|
1440 |
|
|
const Tp frac = diff / f0;
|
1441 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1442 |
|
|
max_abs_frac = std::abs(frac);
|
1443 |
|
|
}
|
1444 |
|
|
}
|
1445 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1446 |
|
|
}
|
1447 |
|
|
|
1448 |
|
|
// Test data for a=0.50000000000000000, c=10.000000000000000.
|
1449 |
|
|
testcase_conf_hyperg<double> data020[] = {
|
1450 |
|
|
{ 0.70040954461104077, 0.50000000000000000, 10.000000000000000,
|
1451 |
|
|
-10.000000000000000 },
|
1452 |
|
|
{ 0.71933025737654377, 0.50000000000000000, 10.000000000000000,
|
1453 |
|
|
-9.0000000000000000 },
|
1454 |
|
|
{ 0.73981995758615049, 0.50000000000000000, 10.000000000000000,
|
1455 |
|
|
-8.0000000000000000 },
|
1456 |
|
|
{ 0.76209985272755054, 0.50000000000000000, 10.000000000000000,
|
1457 |
|
|
-7.0000000000000000 },
|
1458 |
|
|
{ 0.78643553963087975, 0.50000000000000000, 10.000000000000000,
|
1459 |
|
|
-6.0000000000000000 },
|
1460 |
|
|
{ 0.81314860510626796, 0.50000000000000000, 10.000000000000000,
|
1461 |
|
|
-5.0000000000000000 },
|
1462 |
|
|
{ 0.84263196565226672, 0.50000000000000000, 10.000000000000000,
|
1463 |
|
|
-4.0000000000000000 },
|
1464 |
|
|
{ 0.87537037798496642, 0.50000000000000000, 10.000000000000000,
|
1465 |
|
|
-3.0000000000000000 },
|
1466 |
|
|
{ 0.91196818568151450, 0.50000000000000000, 10.000000000000000,
|
1467 |
|
|
-2.0000000000000000 },
|
1468 |
|
|
{ 0.95318731786229316, 0.50000000000000000, 10.000000000000000,
|
1469 |
|
|
-1.0000000000000000 },
|
1470 |
|
|
{ 1.0000000000000000, 0.50000000000000000, 10.000000000000000,
|
1471 |
|
|
0.0000000000000000 },
|
1472 |
|
|
{ 1.0536628587304602, 0.50000000000000000, 10.000000000000000,
|
1473 |
|
|
1.0000000000000000 },
|
1474 |
|
|
{ 1.1158225648376323, 0.50000000000000000, 10.000000000000000,
|
1475 |
|
|
2.0000000000000000 },
|
1476 |
|
|
{ 1.1886686247111011, 0.50000000000000000, 10.000000000000000,
|
1477 |
|
|
3.0000000000000000 },
|
1478 |
|
|
{ 1.2751576744751334, 0.50000000000000000, 10.000000000000000,
|
1479 |
|
|
4.0000000000000000 },
|
1480 |
|
|
{ 1.3793478044961116, 0.50000000000000000, 10.000000000000000,
|
1481 |
|
|
5.0000000000000000 },
|
1482 |
|
|
{ 1.5069047234443802, 0.50000000000000000, 10.000000000000000,
|
1483 |
|
|
6.0000000000000000 },
|
1484 |
|
|
{ 1.6658803233122232, 0.50000000000000000, 10.000000000000000,
|
1485 |
|
|
7.0000000000000000 },
|
1486 |
|
|
{ 1.8679295659745196, 0.50000000000000000, 10.000000000000000,
|
1487 |
|
|
8.0000000000000000 },
|
1488 |
|
|
{ 2.1302432955522042, 0.50000000000000000, 10.000000000000000,
|
1489 |
|
|
9.0000000000000000 },
|
1490 |
|
|
{ 2.4786679001777268, 0.50000000000000000, 10.000000000000000,
|
1491 |
|
|
10.000000000000000 },
|
1492 |
|
|
};
|
1493 |
|
|
|
1494 |
|
|
// Test function for a=0.50000000000000000, c=10.000000000000000.
|
1495 |
|
|
template <typename Tp>
|
1496 |
|
|
void test020()
|
1497 |
|
|
{
|
1498 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1499 |
|
|
Tp max_abs_diff = -Tp(1);
|
1500 |
|
|
Tp max_abs_frac = -Tp(1);
|
1501 |
|
|
unsigned int num_datum = sizeof(data020)
|
1502 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1503 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1504 |
|
|
{
|
1505 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data020[i].a), Tp(data020[i].c),
|
1506 |
|
|
Tp(data020[i].x));
|
1507 |
|
|
const Tp f0 = data020[i].f0;
|
1508 |
|
|
const Tp diff = f - f0;
|
1509 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1510 |
|
|
max_abs_diff = std::abs(diff);
|
1511 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1512 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1513 |
|
|
{
|
1514 |
|
|
const Tp frac = diff / f0;
|
1515 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1516 |
|
|
max_abs_frac = std::abs(frac);
|
1517 |
|
|
}
|
1518 |
|
|
}
|
1519 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1520 |
|
|
}
|
1521 |
|
|
|
1522 |
|
|
// Test data for a=1.0000000000000000, c=1.0000000000000000.
|
1523 |
|
|
testcase_conf_hyperg<double> data021[] = {
|
1524 |
|
|
{ 4.5399929762484854e-05, 1.0000000000000000, 1.0000000000000000,
|
1525 |
|
|
-10.000000000000000 },
|
1526 |
|
|
{ 0.00012340980408667956, 1.0000000000000000, 1.0000000000000000,
|
1527 |
|
|
-9.0000000000000000 },
|
1528 |
|
|
{ 0.00033546262790251185, 1.0000000000000000, 1.0000000000000000,
|
1529 |
|
|
-8.0000000000000000 },
|
1530 |
|
|
{ 0.00091188196555451624, 1.0000000000000000, 1.0000000000000000,
|
1531 |
|
|
-7.0000000000000000 },
|
1532 |
|
|
{ 0.0024787521766663585, 1.0000000000000000, 1.0000000000000000,
|
1533 |
|
|
-6.0000000000000000 },
|
1534 |
|
|
{ 0.0067379469990854670, 1.0000000000000000, 1.0000000000000000,
|
1535 |
|
|
-5.0000000000000000 },
|
1536 |
|
|
{ 0.018315638888734179, 1.0000000000000000, 1.0000000000000000,
|
1537 |
|
|
-4.0000000000000000 },
|
1538 |
|
|
{ 0.049787068367863944, 1.0000000000000000, 1.0000000000000000,
|
1539 |
|
|
-3.0000000000000000 },
|
1540 |
|
|
{ 0.13533528323661270, 1.0000000000000000, 1.0000000000000000,
|
1541 |
|
|
-2.0000000000000000 },
|
1542 |
|
|
{ 0.36787944117144233, 1.0000000000000000, 1.0000000000000000,
|
1543 |
|
|
-1.0000000000000000 },
|
1544 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 1.0000000000000000,
|
1545 |
|
|
0.0000000000000000 },
|
1546 |
|
|
{ 2.7182818284590451, 1.0000000000000000, 1.0000000000000000,
|
1547 |
|
|
1.0000000000000000 },
|
1548 |
|
|
{ 7.3890560989306504, 1.0000000000000000, 1.0000000000000000,
|
1549 |
|
|
2.0000000000000000 },
|
1550 |
|
|
{ 20.085536923187668, 1.0000000000000000, 1.0000000000000000,
|
1551 |
|
|
3.0000000000000000 },
|
1552 |
|
|
{ 54.598150033144236, 1.0000000000000000, 1.0000000000000000,
|
1553 |
|
|
4.0000000000000000 },
|
1554 |
|
|
{ 148.41315910257660, 1.0000000000000000, 1.0000000000000000,
|
1555 |
|
|
5.0000000000000000 },
|
1556 |
|
|
{ 403.42879349273511, 1.0000000000000000, 1.0000000000000000,
|
1557 |
|
|
6.0000000000000000 },
|
1558 |
|
|
{ 1096.6331584284585, 1.0000000000000000, 1.0000000000000000,
|
1559 |
|
|
7.0000000000000000 },
|
1560 |
|
|
{ 2980.9579870417283, 1.0000000000000000, 1.0000000000000000,
|
1561 |
|
|
8.0000000000000000 },
|
1562 |
|
|
{ 8103.0839275753842, 1.0000000000000000, 1.0000000000000000,
|
1563 |
|
|
9.0000000000000000 },
|
1564 |
|
|
{ 22026.465794806718, 1.0000000000000000, 1.0000000000000000,
|
1565 |
|
|
10.000000000000000 },
|
1566 |
|
|
};
|
1567 |
|
|
|
1568 |
|
|
// Test function for a=1.0000000000000000, c=1.0000000000000000.
|
1569 |
|
|
template <typename Tp>
|
1570 |
|
|
void test021()
|
1571 |
|
|
{
|
1572 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1573 |
|
|
Tp max_abs_diff = -Tp(1);
|
1574 |
|
|
Tp max_abs_frac = -Tp(1);
|
1575 |
|
|
unsigned int num_datum = sizeof(data021)
|
1576 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1577 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1578 |
|
|
{
|
1579 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data021[i].a), Tp(data021[i].c),
|
1580 |
|
|
Tp(data021[i].x));
|
1581 |
|
|
const Tp f0 = data021[i].f0;
|
1582 |
|
|
const Tp diff = f - f0;
|
1583 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1584 |
|
|
max_abs_diff = std::abs(diff);
|
1585 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1586 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1587 |
|
|
{
|
1588 |
|
|
const Tp frac = diff / f0;
|
1589 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1590 |
|
|
max_abs_frac = std::abs(frac);
|
1591 |
|
|
}
|
1592 |
|
|
}
|
1593 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1594 |
|
|
}
|
1595 |
|
|
|
1596 |
|
|
// Test data for a=1.0000000000000000, c=2.0000000000000000.
|
1597 |
|
|
testcase_conf_hyperg<double> data022[] = {
|
1598 |
|
|
{ 0.099995460007023751, 1.0000000000000000, 2.0000000000000000,
|
1599 |
|
|
-10.000000000000000 },
|
1600 |
|
|
{ 0.11109739891065704, 1.0000000000000000, 2.0000000000000000,
|
1601 |
|
|
-9.0000000000000000 },
|
1602 |
|
|
{ 0.12495806717151219, 1.0000000000000000, 2.0000000000000000,
|
1603 |
|
|
-8.0000000000000000 },
|
1604 |
|
|
{ 0.14272687400492079, 1.0000000000000000, 2.0000000000000000,
|
1605 |
|
|
-7.0000000000000000 },
|
1606 |
|
|
{ 0.16625354130388895, 1.0000000000000000, 2.0000000000000000,
|
1607 |
|
|
-6.0000000000000000 },
|
1608 |
|
|
{ 0.19865241060018290, 1.0000000000000000, 2.0000000000000000,
|
1609 |
|
|
-5.0000000000000000 },
|
1610 |
|
|
{ 0.24542109027781644, 1.0000000000000000, 2.0000000000000000,
|
1611 |
|
|
-4.0000000000000000 },
|
1612 |
|
|
{ 0.31673764387737868, 1.0000000000000000, 2.0000000000000000,
|
1613 |
|
|
-3.0000000000000000 },
|
1614 |
|
|
{ 0.43233235838169365, 1.0000000000000000, 2.0000000000000000,
|
1615 |
|
|
-2.0000000000000000 },
|
1616 |
|
|
{ 0.63212055882855767, 1.0000000000000000, 2.0000000000000000,
|
1617 |
|
|
-1.0000000000000000 },
|
1618 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 2.0000000000000000,
|
1619 |
|
|
0.0000000000000000 },
|
1620 |
|
|
{ 1.7182818284590451, 1.0000000000000000, 2.0000000000000000,
|
1621 |
|
|
1.0000000000000000 },
|
1622 |
|
|
{ 3.1945280494653252, 1.0000000000000000, 2.0000000000000000,
|
1623 |
|
|
2.0000000000000000 },
|
1624 |
|
|
{ 6.3618456410625557, 1.0000000000000000, 2.0000000000000000,
|
1625 |
|
|
3.0000000000000000 },
|
1626 |
|
|
{ 13.399537508286059, 1.0000000000000000, 2.0000000000000000,
|
1627 |
|
|
4.0000000000000000 },
|
1628 |
|
|
{ 29.482631820515319, 1.0000000000000000, 2.0000000000000000,
|
1629 |
|
|
5.0000000000000000 },
|
1630 |
|
|
{ 67.071465582122514, 1.0000000000000000, 2.0000000000000000,
|
1631 |
|
|
6.0000000000000000 },
|
1632 |
|
|
{ 156.51902263263693, 1.0000000000000000, 2.0000000000000000,
|
1633 |
|
|
7.0000000000000000 },
|
1634 |
|
|
{ 372.49474838021604, 1.0000000000000000, 2.0000000000000000,
|
1635 |
|
|
8.0000000000000000 },
|
1636 |
|
|
{ 900.23154750837602, 1.0000000000000000, 2.0000000000000000,
|
1637 |
|
|
9.0000000000000000 },
|
1638 |
|
|
{ 2202.5465794806719, 1.0000000000000000, 2.0000000000000000,
|
1639 |
|
|
10.000000000000000 },
|
1640 |
|
|
};
|
1641 |
|
|
|
1642 |
|
|
// Test function for a=1.0000000000000000, c=2.0000000000000000.
|
1643 |
|
|
template <typename Tp>
|
1644 |
|
|
void test022()
|
1645 |
|
|
{
|
1646 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1647 |
|
|
Tp max_abs_diff = -Tp(1);
|
1648 |
|
|
Tp max_abs_frac = -Tp(1);
|
1649 |
|
|
unsigned int num_datum = sizeof(data022)
|
1650 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1651 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1652 |
|
|
{
|
1653 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data022[i].a), Tp(data022[i].c),
|
1654 |
|
|
Tp(data022[i].x));
|
1655 |
|
|
const Tp f0 = data022[i].f0;
|
1656 |
|
|
const Tp diff = f - f0;
|
1657 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1658 |
|
|
max_abs_diff = std::abs(diff);
|
1659 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1660 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1661 |
|
|
{
|
1662 |
|
|
const Tp frac = diff / f0;
|
1663 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1664 |
|
|
max_abs_frac = std::abs(frac);
|
1665 |
|
|
}
|
1666 |
|
|
}
|
1667 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1668 |
|
|
}
|
1669 |
|
|
|
1670 |
|
|
// Test data for a=1.0000000000000000, c=3.0000000000000000.
|
1671 |
|
|
testcase_conf_hyperg<double> data023[] = {
|
1672 |
|
|
{ 0.18000090799859525, 1.0000000000000000, 3.0000000000000000,
|
1673 |
|
|
-10.000000000000000 },
|
1674 |
|
|
{ 0.19753391135318732, 1.0000000000000000, 3.0000000000000000,
|
1675 |
|
|
-9.0000000000000000 },
|
1676 |
|
|
{ 0.21876048320712196, 1.0000000000000000, 3.0000000000000000,
|
1677 |
|
|
-8.0000000000000000 },
|
1678 |
|
|
{ 0.24493517885573690, 1.0000000000000000, 3.0000000000000000,
|
1679 |
|
|
-7.0000000000000000 },
|
1680 |
|
|
{ 0.27791548623203705, 1.0000000000000000, 3.0000000000000000,
|
1681 |
|
|
-6.0000000000000000 },
|
1682 |
|
|
{ 0.32053903575992687, 1.0000000000000000, 3.0000000000000000,
|
1683 |
|
|
-5.0000000000000000 },
|
1684 |
|
|
{ 0.37728945486109178, 1.0000000000000000, 3.0000000000000000,
|
1685 |
|
|
-4.0000000000000000 },
|
1686 |
|
|
{ 0.45550823741508090, 1.0000000000000000, 3.0000000000000000,
|
1687 |
|
|
-3.0000000000000000 },
|
1688 |
|
|
{ 0.56766764161830641, 1.0000000000000000, 3.0000000000000000,
|
1689 |
|
|
-2.0000000000000000 },
|
1690 |
|
|
{ 0.73575888234288467, 1.0000000000000000, 3.0000000000000000,
|
1691 |
|
|
-1.0000000000000000 },
|
1692 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 3.0000000000000000,
|
1693 |
|
|
0.0000000000000000 },
|
1694 |
|
|
{ 1.4365636569180902, 1.0000000000000000, 3.0000000000000000,
|
1695 |
|
|
1.0000000000000000 },
|
1696 |
|
|
{ 2.1945280494653252, 1.0000000000000000, 3.0000000000000000,
|
1697 |
|
|
2.0000000000000000 },
|
1698 |
|
|
{ 3.5745637607083705, 1.0000000000000000, 3.0000000000000000,
|
1699 |
|
|
3.0000000000000000 },
|
1700 |
|
|
{ 6.1997687541430295, 1.0000000000000000, 3.0000000000000000,
|
1701 |
|
|
4.0000000000000000 },
|
1702 |
|
|
{ 11.393052728206127, 1.0000000000000000, 3.0000000000000000,
|
1703 |
|
|
5.0000000000000000 },
|
1704 |
|
|
{ 22.023821860707507, 1.0000000000000000, 3.0000000000000000,
|
1705 |
|
|
6.0000000000000000 },
|
1706 |
|
|
{ 44.434006466467693, 1.0000000000000000, 3.0000000000000000,
|
1707 |
|
|
7.0000000000000000 },
|
1708 |
|
|
{ 92.873687095054009, 1.0000000000000000, 3.0000000000000000,
|
1709 |
|
|
8.0000000000000000 },
|
1710 |
|
|
{ 199.82923277963911, 1.0000000000000000, 3.0000000000000000,
|
1711 |
|
|
9.0000000000000000 },
|
1712 |
|
|
{ 440.30931589613436, 1.0000000000000000, 3.0000000000000000,
|
1713 |
|
|
10.000000000000000 },
|
1714 |
|
|
};
|
1715 |
|
|
|
1716 |
|
|
// Test function for a=1.0000000000000000, c=3.0000000000000000.
|
1717 |
|
|
template <typename Tp>
|
1718 |
|
|
void test023()
|
1719 |
|
|
{
|
1720 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1721 |
|
|
Tp max_abs_diff = -Tp(1);
|
1722 |
|
|
Tp max_abs_frac = -Tp(1);
|
1723 |
|
|
unsigned int num_datum = sizeof(data023)
|
1724 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1725 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1726 |
|
|
{
|
1727 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data023[i].a), Tp(data023[i].c),
|
1728 |
|
|
Tp(data023[i].x));
|
1729 |
|
|
const Tp f0 = data023[i].f0;
|
1730 |
|
|
const Tp diff = f - f0;
|
1731 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1732 |
|
|
max_abs_diff = std::abs(diff);
|
1733 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1734 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1735 |
|
|
{
|
1736 |
|
|
const Tp frac = diff / f0;
|
1737 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1738 |
|
|
max_abs_frac = std::abs(frac);
|
1739 |
|
|
}
|
1740 |
|
|
}
|
1741 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1742 |
|
|
}
|
1743 |
|
|
|
1744 |
|
|
// Test data for a=1.0000000000000000, c=4.0000000000000000.
|
1745 |
|
|
testcase_conf_hyperg<double> data024[] = {
|
1746 |
|
|
{ 0.24599972760042146, 1.0000000000000000, 4.0000000000000000,
|
1747 |
|
|
-10.000000000000000 },
|
1748 |
|
|
{ 0.26748869621560417, 1.0000000000000000, 4.0000000000000000,
|
1749 |
|
|
-9.0000000000000000 },
|
1750 |
|
|
{ 0.29296481879732927, 1.0000000000000000, 4.0000000000000000,
|
1751 |
|
|
-8.0000000000000000 },
|
1752 |
|
|
{ 0.32359920906182704, 1.0000000000000000, 4.0000000000000000,
|
1753 |
|
|
-7.0000000000000000 },
|
1754 |
|
|
{ 0.36104225688398150, 1.0000000000000000, 4.0000000000000000,
|
1755 |
|
|
-6.0000000000000000 },
|
1756 |
|
|
{ 0.40767657854404399, 1.0000000000000000, 4.0000000000000000,
|
1757 |
|
|
-5.0000000000000000 },
|
1758 |
|
|
{ 0.46703290885418114, 1.0000000000000000, 4.0000000000000000,
|
1759 |
|
|
-4.0000000000000000 },
|
1760 |
|
|
{ 0.54449176258491927, 1.0000000000000000, 4.0000000000000000,
|
1761 |
|
|
-3.0000000000000000 },
|
1762 |
|
|
{ 0.64849853757254050, 1.0000000000000000, 4.0000000000000000,
|
1763 |
|
|
-2.0000000000000000 },
|
1764 |
|
|
{ 0.79272335297134611, 1.0000000000000000, 4.0000000000000000,
|
1765 |
|
|
-1.0000000000000000 },
|
1766 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 4.0000000000000000,
|
1767 |
|
|
0.0000000000000000 },
|
1768 |
|
|
{ 1.3096909707542714, 1.0000000000000000, 4.0000000000000000,
|
1769 |
|
|
1.0000000000000000 },
|
1770 |
|
|
{ 1.7917920741979876, 1.0000000000000000, 4.0000000000000000,
|
1771 |
|
|
2.0000000000000000 },
|
1772 |
|
|
{ 2.5745637607083709, 1.0000000000000000, 4.0000000000000000,
|
1773 |
|
|
3.0000000000000000 },
|
1774 |
|
|
{ 3.8998265656072717, 1.0000000000000000, 4.0000000000000000,
|
1775 |
|
|
4.0000000000000000 },
|
1776 |
|
|
{ 6.2358316369236775, 1.0000000000000000, 4.0000000000000000,
|
1777 |
|
|
5.0000000000000000 },
|
1778 |
|
|
{ 10.511910930353745, 1.0000000000000000, 4.0000000000000000,
|
1779 |
|
|
6.0000000000000000 },
|
1780 |
|
|
{ 18.614574199914728, 1.0000000000000000, 4.0000000000000000,
|
1781 |
|
|
7.0000000000000000 },
|
1782 |
|
|
{ 34.452632660645271, 1.0000000000000000, 4.0000000000000000,
|
1783 |
|
|
8.0000000000000000 },
|
1784 |
|
|
{ 66.276410926546333, 1.0000000000000000, 4.0000000000000000,
|
1785 |
|
|
9.0000000000000000 },
|
1786 |
|
|
{ 131.79279476884014, 1.0000000000000000, 4.0000000000000000,
|
1787 |
|
|
10.000000000000000 },
|
1788 |
|
|
};
|
1789 |
|
|
|
1790 |
|
|
// Test function for a=1.0000000000000000, c=4.0000000000000000.
|
1791 |
|
|
template <typename Tp>
|
1792 |
|
|
void test024()
|
1793 |
|
|
{
|
1794 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1795 |
|
|
Tp max_abs_diff = -Tp(1);
|
1796 |
|
|
Tp max_abs_frac = -Tp(1);
|
1797 |
|
|
unsigned int num_datum = sizeof(data024)
|
1798 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1799 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1800 |
|
|
{
|
1801 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data024[i].a), Tp(data024[i].c),
|
1802 |
|
|
Tp(data024[i].x));
|
1803 |
|
|
const Tp f0 = data024[i].f0;
|
1804 |
|
|
const Tp diff = f - f0;
|
1805 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1806 |
|
|
max_abs_diff = std::abs(diff);
|
1807 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1808 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1809 |
|
|
{
|
1810 |
|
|
const Tp frac = diff / f0;
|
1811 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1812 |
|
|
max_abs_frac = std::abs(frac);
|
1813 |
|
|
}
|
1814 |
|
|
}
|
1815 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1816 |
|
|
}
|
1817 |
|
|
|
1818 |
|
|
// Test data for a=1.0000000000000000, c=5.0000000000000000.
|
1819 |
|
|
testcase_conf_hyperg<double> data025[] = {
|
1820 |
|
|
{ 0.30160010895983153, 1.0000000000000000, 5.0000000000000000,
|
1821 |
|
|
-10.000000000000000 },
|
1822 |
|
|
{ 0.32556057945973144, 1.0000000000000000, 5.0000000000000000,
|
1823 |
|
|
-9.0000000000000000 },
|
1824 |
|
|
{ 0.35351759060133547, 1.0000000000000000, 5.0000000000000000,
|
1825 |
|
|
-8.0000000000000000 },
|
1826 |
|
|
{ 0.38651473767895589, 1.0000000000000000, 5.0000000000000000,
|
1827 |
|
|
-7.0000000000000000 },
|
1828 |
|
|
{ 0.42597182874401224, 1.0000000000000000, 5.0000000000000000,
|
1829 |
|
|
-6.0000000000000000 },
|
1830 |
|
|
{ 0.47385873716476495, 1.0000000000000000, 5.0000000000000000,
|
1831 |
|
|
-5.0000000000000000 },
|
1832 |
|
|
{ 0.53296709114581886, 1.0000000000000000, 5.0000000000000000,
|
1833 |
|
|
-4.0000000000000000 },
|
1834 |
|
|
{ 0.60734431655344123, 1.0000000000000000, 5.0000000000000000,
|
1835 |
|
|
-3.0000000000000000 },
|
1836 |
|
|
{ 0.70300292485491900, 1.0000000000000000, 5.0000000000000000,
|
1837 |
|
|
-2.0000000000000000 },
|
1838 |
|
|
{ 0.82910658811461568, 1.0000000000000000, 5.0000000000000000,
|
1839 |
|
|
-1.0000000000000000 },
|
1840 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 5.0000000000000000,
|
1841 |
|
|
0.0000000000000000 },
|
1842 |
|
|
{ 1.2387638830170857, 1.0000000000000000, 5.0000000000000000,
|
1843 |
|
|
1.0000000000000000 },
|
1844 |
|
|
{ 1.5835841483959754, 1.0000000000000000, 5.0000000000000000,
|
1845 |
|
|
2.0000000000000000 },
|
1846 |
|
|
{ 2.0994183476111612, 1.0000000000000000, 5.0000000000000000,
|
1847 |
|
|
3.0000000000000000 },
|
1848 |
|
|
{ 2.8998265656072721, 1.0000000000000000, 5.0000000000000000,
|
1849 |
|
|
4.0000000000000000 },
|
1850 |
|
|
{ 4.1886653095389432, 1.0000000000000000, 5.0000000000000000,
|
1851 |
|
|
5.0000000000000000 },
|
1852 |
|
|
{ 6.3412739535691678, 1.0000000000000000, 5.0000000000000000,
|
1853 |
|
|
6.0000000000000000 },
|
1854 |
|
|
{ 10.065470971379844, 1.0000000000000000, 5.0000000000000000,
|
1855 |
|
|
7.0000000000000000 },
|
1856 |
|
|
{ 16.726316330322632, 1.0000000000000000, 5.0000000000000000,
|
1857 |
|
|
8.0000000000000000 },
|
1858 |
|
|
{ 29.011738189576135, 1.0000000000000000, 5.0000000000000000,
|
1859 |
|
|
9.0000000000000000 },
|
1860 |
|
|
{ 52.317117907536058, 1.0000000000000000, 5.0000000000000000,
|
1861 |
|
|
10.000000000000000 },
|
1862 |
|
|
};
|
1863 |
|
|
|
1864 |
|
|
// Test function for a=1.0000000000000000, c=5.0000000000000000.
|
1865 |
|
|
template <typename Tp>
|
1866 |
|
|
void test025()
|
1867 |
|
|
{
|
1868 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1869 |
|
|
Tp max_abs_diff = -Tp(1);
|
1870 |
|
|
Tp max_abs_frac = -Tp(1);
|
1871 |
|
|
unsigned int num_datum = sizeof(data025)
|
1872 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1873 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1874 |
|
|
{
|
1875 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data025[i].a), Tp(data025[i].c),
|
1876 |
|
|
Tp(data025[i].x));
|
1877 |
|
|
const Tp f0 = data025[i].f0;
|
1878 |
|
|
const Tp diff = f - f0;
|
1879 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1880 |
|
|
max_abs_diff = std::abs(diff);
|
1881 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1882 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1883 |
|
|
{
|
1884 |
|
|
const Tp frac = diff / f0;
|
1885 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1886 |
|
|
max_abs_frac = std::abs(frac);
|
1887 |
|
|
}
|
1888 |
|
|
}
|
1889 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1890 |
|
|
}
|
1891 |
|
|
|
1892 |
|
|
// Test data for a=1.0000000000000000, c=6.0000000000000000.
|
1893 |
|
|
testcase_conf_hyperg<double> data026[] = {
|
1894 |
|
|
{ 0.34919994552008432, 1.0000000000000000, 6.0000000000000000,
|
1895 |
|
|
-10.000000000000000 },
|
1896 |
|
|
{ 0.37468856696681579, 1.0000000000000000, 6.0000000000000000,
|
1897 |
|
|
-9.0000000000000000 },
|
1898 |
|
|
{ 0.40405150587416544, 1.0000000000000000, 6.0000000000000000,
|
1899 |
|
|
-8.0000000000000000 },
|
1900 |
|
|
{ 0.43820375880074558, 1.0000000000000000, 6.0000000000000000,
|
1901 |
|
|
-7.0000000000000000 },
|
1902 |
|
|
{ 0.47835680937998976, 1.0000000000000000, 6.0000000000000000,
|
1903 |
|
|
-6.0000000000000000 },
|
1904 |
|
|
{ 0.52614126283523510, 1.0000000000000000, 6.0000000000000000,
|
1905 |
|
|
-5.0000000000000000 },
|
1906 |
|
|
{ 0.58379113606772637, 1.0000000000000000, 6.0000000000000000,
|
1907 |
|
|
-4.0000000000000000 },
|
1908 |
|
|
{ 0.65442613907759817, 1.0000000000000000, 6.0000000000000000,
|
1909 |
|
|
-3.0000000000000000 },
|
1910 |
|
|
{ 0.74249268786270239, 1.0000000000000000, 6.0000000000000000,
|
1911 |
|
|
-2.0000000000000000 },
|
1912 |
|
|
{ 0.85446705942692136, 1.0000000000000000, 6.0000000000000000,
|
1913 |
|
|
-1.0000000000000000 },
|
1914 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 6.0000000000000000,
|
1915 |
|
|
0.0000000000000000 },
|
1916 |
|
|
{ 1.1938194150854282, 1.0000000000000000, 6.0000000000000000,
|
1917 |
|
|
1.0000000000000000 },
|
1918 |
|
|
{ 1.4589603709899384, 1.0000000000000000, 6.0000000000000000,
|
1919 |
|
|
2.0000000000000000 },
|
1920 |
|
|
{ 1.8323639126852680, 1.0000000000000000, 6.0000000000000000,
|
1921 |
|
|
3.0000000000000000 },
|
1922 |
|
|
{ 2.3747832070090902, 1.0000000000000000, 6.0000000000000000,
|
1923 |
|
|
4.0000000000000000 },
|
1924 |
|
|
{ 3.1886653095389415, 1.0000000000000000, 6.0000000000000000,
|
1925 |
|
|
5.0000000000000000 },
|
1926 |
|
|
{ 4.4510616279743056, 1.0000000000000000, 6.0000000000000000,
|
1927 |
|
|
6.0000000000000000 },
|
1928 |
|
|
{ 6.4753364081284595, 1.0000000000000000, 6.0000000000000000,
|
1929 |
|
|
7.0000000000000000 },
|
1930 |
|
|
{ 9.8289477064516344, 1.0000000000000000, 6.0000000000000000,
|
1931 |
|
|
8.0000000000000000 },
|
1932 |
|
|
{ 15.562076771986721, 1.0000000000000000, 6.0000000000000000,
|
1933 |
|
|
9.0000000000000000 },
|
1934 |
|
|
{ 25.658558953767979, 1.0000000000000000, 6.0000000000000000,
|
1935 |
|
|
10.000000000000000 },
|
1936 |
|
|
};
|
1937 |
|
|
|
1938 |
|
|
// Test function for a=1.0000000000000000, c=6.0000000000000000.
|
1939 |
|
|
template <typename Tp>
|
1940 |
|
|
void test026()
|
1941 |
|
|
{
|
1942 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1943 |
|
|
Tp max_abs_diff = -Tp(1);
|
1944 |
|
|
Tp max_abs_frac = -Tp(1);
|
1945 |
|
|
unsigned int num_datum = sizeof(data026)
|
1946 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
1947 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1948 |
|
|
{
|
1949 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data026[i].a), Tp(data026[i].c),
|
1950 |
|
|
Tp(data026[i].x));
|
1951 |
|
|
const Tp f0 = data026[i].f0;
|
1952 |
|
|
const Tp diff = f - f0;
|
1953 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1954 |
|
|
max_abs_diff = std::abs(diff);
|
1955 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1956 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1957 |
|
|
{
|
1958 |
|
|
const Tp frac = diff / f0;
|
1959 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1960 |
|
|
max_abs_frac = std::abs(frac);
|
1961 |
|
|
}
|
1962 |
|
|
}
|
1963 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1964 |
|
|
}
|
1965 |
|
|
|
1966 |
|
|
// Test data for a=1.0000000000000000, c=7.0000000000000000.
|
1967 |
|
|
testcase_conf_hyperg<double> data027[] = {
|
1968 |
|
|
{ 0.39048003268794951, 1.0000000000000000, 7.0000000000000000,
|
1969 |
|
|
-10.000000000000000 },
|
1970 |
|
|
{ 0.41687428868878945, 1.0000000000000000, 7.0000000000000000,
|
1971 |
|
|
-9.0000000000000000 },
|
1972 |
|
|
{ 0.44696137059437596, 1.0000000000000000, 7.0000000000000000,
|
1973 |
|
|
-8.0000000000000000 },
|
1974 |
|
|
{ 0.48153963531364646, 1.0000000000000000, 7.0000000000000000,
|
1975 |
|
|
-7.0000000000000000 },
|
1976 |
|
|
{ 0.52164319062001030, 1.0000000000000000, 7.0000000000000000,
|
1977 |
|
|
-6.0000000000000000 },
|
1978 |
|
|
{ 0.56863048459771781, 1.0000000000000000, 7.0000000000000000,
|
1979 |
|
|
-5.0000000000000000 },
|
1980 |
|
|
{ 0.62431329589841034, 1.0000000000000000, 7.0000000000000000,
|
1981 |
|
|
-4.0000000000000000 },
|
1982 |
|
|
{ 0.69114772184480400, 1.0000000000000000, 7.0000000000000000,
|
1983 |
|
|
-3.0000000000000000 },
|
1984 |
|
|
{ 0.77252193641189282, 1.0000000000000000, 7.0000000000000000,
|
1985 |
|
|
-2.0000000000000000 },
|
1986 |
|
|
{ 0.87319764343847150, 1.0000000000000000, 7.0000000000000000,
|
1987 |
|
|
-1.0000000000000000 },
|
1988 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 7.0000000000000000,
|
1989 |
|
|
0.0000000000000000 },
|
1990 |
|
|
{ 1.1629164905125695, 1.0000000000000000, 7.0000000000000000,
|
1991 |
|
|
1.0000000000000000 },
|
1992 |
|
|
{ 1.3768811129698151, 1.0000000000000000, 7.0000000000000000,
|
1993 |
|
|
2.0000000000000000 },
|
1994 |
|
|
{ 1.6647278253705360, 1.0000000000000000, 7.0000000000000000,
|
1995 |
|
|
3.0000000000000000 },
|
1996 |
|
|
{ 2.0621748105136359, 1.0000000000000000, 7.0000000000000000,
|
1997 |
|
|
4.0000000000000000 },
|
1998 |
|
|
{ 2.6263983714467298, 1.0000000000000000, 7.0000000000000000,
|
1999 |
|
|
5.0000000000000000 },
|
2000 |
|
|
{ 3.4510616279743078, 1.0000000000000000, 7.0000000000000000,
|
2001 |
|
|
6.0000000000000000 },
|
2002 |
|
|
{ 4.6931454926815448, 1.0000000000000000, 7.0000000000000000,
|
2003 |
|
|
7.0000000000000000 },
|
2004 |
|
|
{ 6.6217107798387476, 1.0000000000000000, 7.0000000000000000,
|
2005 |
|
|
8.0000000000000000 },
|
2006 |
|
|
{ 9.7080511813245050, 1.0000000000000000, 7.0000000000000000,
|
2007 |
|
|
9.0000000000000000 },
|
2008 |
|
|
{ 14.795135372260793, 1.0000000000000000, 7.0000000000000000,
|
2009 |
|
|
10.000000000000000 },
|
2010 |
|
|
};
|
2011 |
|
|
|
2012 |
|
|
// Test function for a=1.0000000000000000, c=7.0000000000000000.
|
2013 |
|
|
template <typename Tp>
|
2014 |
|
|
void test027()
|
2015 |
|
|
{
|
2016 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2017 |
|
|
Tp max_abs_diff = -Tp(1);
|
2018 |
|
|
Tp max_abs_frac = -Tp(1);
|
2019 |
|
|
unsigned int num_datum = sizeof(data027)
|
2020 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2021 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2022 |
|
|
{
|
2023 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data027[i].a), Tp(data027[i].c),
|
2024 |
|
|
Tp(data027[i].x));
|
2025 |
|
|
const Tp f0 = data027[i].f0;
|
2026 |
|
|
const Tp diff = f - f0;
|
2027 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2028 |
|
|
max_abs_diff = std::abs(diff);
|
2029 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2030 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2031 |
|
|
{
|
2032 |
|
|
const Tp frac = diff / f0;
|
2033 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2034 |
|
|
max_abs_frac = std::abs(frac);
|
2035 |
|
|
}
|
2036 |
|
|
}
|
2037 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2038 |
|
|
}
|
2039 |
|
|
|
2040 |
|
|
// Test data for a=1.0000000000000000, c=8.0000000000000000.
|
2041 |
|
|
testcase_conf_hyperg<double> data028[] = {
|
2042 |
|
|
{ 0.42666397711843540, 1.0000000000000000, 8.0000000000000000,
|
2043 |
|
|
-10.000000000000000 },
|
2044 |
|
|
{ 0.45354221990871918, 1.0000000000000000, 8.0000000000000000,
|
2045 |
|
|
-9.0000000000000000 },
|
2046 |
|
|
{ 0.48390880072992104, 1.0000000000000000, 8.0000000000000000,
|
2047 |
|
|
-8.0000000000000000 },
|
2048 |
|
|
{ 0.51846036468635348, 1.0000000000000000, 8.0000000000000000,
|
2049 |
|
|
-7.0000000000000000 },
|
2050 |
|
|
{ 0.55808294427665472, 1.0000000000000000, 8.0000000000000000,
|
2051 |
|
|
-6.0000000000000000 },
|
2052 |
|
|
{ 0.60391732156319489, 1.0000000000000000, 8.0000000000000000,
|
2053 |
|
|
-5.0000000000000000 },
|
2054 |
|
|
{ 0.65745173217778197, 1.0000000000000000, 8.0000000000000000,
|
2055 |
|
|
-4.0000000000000000 },
|
2056 |
|
|
{ 0.72065531569545760, 1.0000000000000000, 8.0000000000000000,
|
2057 |
|
|
-3.0000000000000000 },
|
2058 |
|
|
{ 0.79617322255837530, 1.0000000000000000, 8.0000000000000000,
|
2059 |
|
|
-2.0000000000000000 },
|
2060 |
|
|
{ 0.88761649593069913, 1.0000000000000000, 8.0000000000000000,
|
2061 |
|
|
-1.0000000000000000 },
|
2062 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 8.0000000000000000,
|
2063 |
|
|
0.0000000000000000 },
|
2064 |
|
|
{ 1.1404154335879861, 1.0000000000000000, 8.0000000000000000,
|
2065 |
|
|
1.0000000000000000 },
|
2066 |
|
|
{ 1.3190838953943527, 1.0000000000000000, 8.0000000000000000,
|
2067 |
|
|
2.0000000000000000 },
|
2068 |
|
|
{ 1.5510315925312508, 1.0000000000000000, 8.0000000000000000,
|
2069 |
|
|
3.0000000000000000 },
|
2070 |
|
|
{ 1.8588059183988628, 1.0000000000000000, 8.0000000000000000,
|
2071 |
|
|
4.0000000000000000 },
|
2072 |
|
|
{ 2.2769577200254218, 1.0000000000000000, 8.0000000000000000,
|
2073 |
|
|
5.0000000000000000 },
|
2074 |
|
|
{ 2.8595718993033583, 1.0000000000000000, 8.0000000000000000,
|
2075 |
|
|
6.0000000000000000 },
|
2076 |
|
|
{ 3.6931454926815368, 1.0000000000000000, 8.0000000000000000,
|
2077 |
|
|
7.0000000000000000 },
|
2078 |
|
|
{ 4.9189969323589020, 1.0000000000000000, 8.0000000000000000,
|
2079 |
|
|
8.0000000000000000 },
|
2080 |
|
|
{ 6.7729286965857218, 1.0000000000000000, 8.0000000000000000,
|
2081 |
|
|
9.0000000000000000 },
|
2082 |
|
|
{ 9.6565947605825802, 1.0000000000000000, 8.0000000000000000,
|
2083 |
|
|
10.000000000000000 },
|
2084 |
|
|
};
|
2085 |
|
|
|
2086 |
|
|
// Test function for a=1.0000000000000000, c=8.0000000000000000.
|
2087 |
|
|
template <typename Tp>
|
2088 |
|
|
void test028()
|
2089 |
|
|
{
|
2090 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2091 |
|
|
Tp max_abs_diff = -Tp(1);
|
2092 |
|
|
Tp max_abs_frac = -Tp(1);
|
2093 |
|
|
unsigned int num_datum = sizeof(data028)
|
2094 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2095 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2096 |
|
|
{
|
2097 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data028[i].a), Tp(data028[i].c),
|
2098 |
|
|
Tp(data028[i].x));
|
2099 |
|
|
const Tp f0 = data028[i].f0;
|
2100 |
|
|
const Tp diff = f - f0;
|
2101 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2102 |
|
|
max_abs_diff = std::abs(diff);
|
2103 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2104 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2105 |
|
|
{
|
2106 |
|
|
const Tp frac = diff / f0;
|
2107 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2108 |
|
|
max_abs_frac = std::abs(frac);
|
2109 |
|
|
}
|
2110 |
|
|
}
|
2111 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2112 |
|
|
}
|
2113 |
|
|
|
2114 |
|
|
// Test data for a=1.0000000000000000, c=9.0000000000000000.
|
2115 |
|
|
testcase_conf_hyperg<double> data029[] = {
|
2116 |
|
|
{ 0.45866881830525175, 1.0000000000000000, 9.0000000000000000,
|
2117 |
|
|
-10.000000000000000 },
|
2118 |
|
|
{ 0.48574024897002721, 1.0000000000000000, 9.0000000000000000,
|
2119 |
|
|
-9.0000000000000000 },
|
2120 |
|
|
{ 0.51609119927007907, 1.0000000000000000, 9.0000000000000000,
|
2121 |
|
|
-8.0000000000000000 },
|
2122 |
|
|
{ 0.55033101178702437, 1.0000000000000000, 9.0000000000000000,
|
2123 |
|
|
-7.0000000000000000 },
|
2124 |
|
|
{ 0.58922274096446048, 1.0000000000000000, 9.0000000000000000,
|
2125 |
|
|
-6.0000000000000000 },
|
2126 |
|
|
{ 0.63373228549888783, 1.0000000000000000, 9.0000000000000000,
|
2127 |
|
|
-5.0000000000000000 },
|
2128 |
|
|
{ 0.68509653564443607, 1.0000000000000000, 9.0000000000000000,
|
2129 |
|
|
-4.0000000000000000 },
|
2130 |
|
|
{ 0.74491915814544640, 1.0000000000000000, 9.0000000000000000,
|
2131 |
|
|
-3.0000000000000000 },
|
2132 |
|
|
{ 0.81530710976649901, 1.0000000000000000, 9.0000000000000000,
|
2133 |
|
|
-2.0000000000000000 },
|
2134 |
|
|
{ 0.89906803255440670, 1.0000000000000000, 9.0000000000000000,
|
2135 |
|
|
-1.0000000000000000 },
|
2136 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 9.0000000000000000,
|
2137 |
|
|
0.0000000000000000 },
|
2138 |
|
|
{ 1.1233234687038898, 1.0000000000000000, 9.0000000000000000,
|
2139 |
|
|
1.0000000000000000 },
|
2140 |
|
|
{ 1.2763355815774109, 1.0000000000000000, 9.0000000000000000,
|
2141 |
|
|
2.0000000000000000 },
|
2142 |
|
|
{ 1.4694175800833353, 1.0000000000000000, 9.0000000000000000,
|
2143 |
|
|
3.0000000000000000 },
|
2144 |
|
|
{ 1.7176118367977251, 1.0000000000000000, 9.0000000000000000,
|
2145 |
|
|
4.0000000000000000 },
|
2146 |
|
|
{ 2.0431323520406752, 1.0000000000000000, 9.0000000000000000,
|
2147 |
|
|
5.0000000000000000 },
|
2148 |
|
|
{ 2.4794291990711450, 1.0000000000000000, 9.0000000000000000,
|
2149 |
|
|
6.0000000000000000 },
|
2150 |
|
|
{ 3.0778805630646140, 1.0000000000000000, 9.0000000000000000,
|
2151 |
|
|
7.0000000000000000 },
|
2152 |
|
|
{ 3.9189969323588896, 1.0000000000000000, 9.0000000000000000,
|
2153 |
|
|
8.0000000000000000 },
|
2154 |
|
|
{ 5.1314921747428537, 1.0000000000000000, 9.0000000000000000,
|
2155 |
|
|
9.0000000000000000 },
|
2156 |
|
|
{ 6.9252758084660462, 1.0000000000000000, 9.0000000000000000,
|
2157 |
|
|
10.000000000000000 },
|
2158 |
|
|
};
|
2159 |
|
|
|
2160 |
|
|
// Test function for a=1.0000000000000000, c=9.0000000000000000.
|
2161 |
|
|
template <typename Tp>
|
2162 |
|
|
void test029()
|
2163 |
|
|
{
|
2164 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2165 |
|
|
Tp max_abs_diff = -Tp(1);
|
2166 |
|
|
Tp max_abs_frac = -Tp(1);
|
2167 |
|
|
unsigned int num_datum = sizeof(data029)
|
2168 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2169 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2170 |
|
|
{
|
2171 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data029[i].a), Tp(data029[i].c),
|
2172 |
|
|
Tp(data029[i].x));
|
2173 |
|
|
const Tp f0 = data029[i].f0;
|
2174 |
|
|
const Tp diff = f - f0;
|
2175 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2176 |
|
|
max_abs_diff = std::abs(diff);
|
2177 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2178 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2179 |
|
|
{
|
2180 |
|
|
const Tp frac = diff / f0;
|
2181 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2182 |
|
|
max_abs_frac = std::abs(frac);
|
2183 |
|
|
}
|
2184 |
|
|
}
|
2185 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2186 |
|
|
}
|
2187 |
|
|
|
2188 |
|
|
// Test data for a=1.0000000000000000, c=10.000000000000000.
|
2189 |
|
|
testcase_conf_hyperg<double> data030[] = {
|
2190 |
|
|
{ 0.48719806352527339, 1.0000000000000000, 10.000000000000000,
|
2191 |
|
|
-10.000000000000000 },
|
2192 |
|
|
{ 0.51425975102997279, 1.0000000000000000, 10.000000000000000,
|
2193 |
|
|
-9.0000000000000000 },
|
2194 |
|
|
{ 0.54439740082116117, 1.0000000000000000, 10.000000000000000,
|
2195 |
|
|
-8.0000000000000000 },
|
2196 |
|
|
{ 0.57814584198811125, 1.0000000000000000, 10.000000000000000,
|
2197 |
|
|
-7.0000000000000000 },
|
2198 |
|
|
{ 0.61616588855330923, 1.0000000000000000, 10.000000000000000,
|
2199 |
|
|
-6.0000000000000000 },
|
2200 |
|
|
{ 0.65928188610200156, 1.0000000000000000, 10.000000000000000,
|
2201 |
|
|
-5.0000000000000000 },
|
2202 |
|
|
{ 0.70853279480001885, 1.0000000000000000, 10.000000000000000,
|
2203 |
|
|
-4.0000000000000000 },
|
2204 |
|
|
{ 0.76524252556366068, 1.0000000000000000, 10.000000000000000,
|
2205 |
|
|
-3.0000000000000000 },
|
2206 |
|
|
{ 0.83111800605075459, 1.0000000000000000, 10.000000000000000,
|
2207 |
|
|
-2.0000000000000000 },
|
2208 |
|
|
{ 0.90838770701033944, 1.0000000000000000, 10.000000000000000,
|
2209 |
|
|
-1.0000000000000000 },
|
2210 |
|
|
{ 1.0000000000000000, 1.0000000000000000, 10.000000000000000,
|
2211 |
|
|
0.0000000000000000 },
|
2212 |
|
|
{ 1.1099112183350075, 1.0000000000000000, 10.000000000000000,
|
2213 |
|
|
1.0000000000000000 },
|
2214 |
|
|
{ 1.2435101170983485, 1.0000000000000000, 10.000000000000000,
|
2215 |
|
|
2.0000000000000000 },
|
2216 |
|
|
{ 1.4082527402500060, 1.0000000000000000, 10.000000000000000,
|
2217 |
|
|
3.0000000000000000 },
|
2218 |
|
|
{ 1.6146266327948817, 1.0000000000000000, 10.000000000000000,
|
2219 |
|
|
4.0000000000000000 },
|
2220 |
|
|
{ 1.8776382336732149, 1.0000000000000000, 10.000000000000000,
|
2221 |
|
|
5.0000000000000000 },
|
2222 |
|
|
{ 2.2191437986067171, 1.0000000000000000, 10.000000000000000,
|
2223 |
|
|
6.0000000000000000 },
|
2224 |
|
|
{ 2.6715607239402184, 1.0000000000000000, 10.000000000000000,
|
2225 |
|
|
7.0000000000000000 },
|
2226 |
|
|
{ 3.2838715489037504, 1.0000000000000000, 10.000000000000000,
|
2227 |
|
|
8.0000000000000000 },
|
2228 |
|
|
{ 4.1314921747428679, 1.0000000000000000, 10.000000000000000,
|
2229 |
|
|
9.0000000000000000 },
|
2230 |
|
|
{ 5.3327482276194447, 1.0000000000000000, 10.000000000000000,
|
2231 |
|
|
10.000000000000000 },
|
2232 |
|
|
};
|
2233 |
|
|
|
2234 |
|
|
// Test function for a=1.0000000000000000, c=10.000000000000000.
|
2235 |
|
|
template <typename Tp>
|
2236 |
|
|
void test030()
|
2237 |
|
|
{
|
2238 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2239 |
|
|
Tp max_abs_diff = -Tp(1);
|
2240 |
|
|
Tp max_abs_frac = -Tp(1);
|
2241 |
|
|
unsigned int num_datum = sizeof(data030)
|
2242 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2243 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2244 |
|
|
{
|
2245 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data030[i].a), Tp(data030[i].c),
|
2246 |
|
|
Tp(data030[i].x));
|
2247 |
|
|
const Tp f0 = data030[i].f0;
|
2248 |
|
|
const Tp diff = f - f0;
|
2249 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2250 |
|
|
max_abs_diff = std::abs(diff);
|
2251 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2252 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2253 |
|
|
{
|
2254 |
|
|
const Tp frac = diff / f0;
|
2255 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2256 |
|
|
max_abs_frac = std::abs(frac);
|
2257 |
|
|
}
|
2258 |
|
|
}
|
2259 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2260 |
|
|
}
|
2261 |
|
|
|
2262 |
|
|
// Test data for a=2.0000000000000000, c=1.0000000000000000.
|
2263 |
|
|
testcase_conf_hyperg<double> data031[] = {
|
2264 |
|
|
{ -0.00040859936786236367, 2.0000000000000000, 1.0000000000000000,
|
2265 |
|
|
-10.000000000000000 },
|
2266 |
|
|
{ -0.00098727843269343649, 2.0000000000000000, 1.0000000000000000,
|
2267 |
|
|
-9.0000000000000000 },
|
2268 |
|
|
{ -0.0023482383953175828, 2.0000000000000000, 1.0000000000000000,
|
2269 |
|
|
-8.0000000000000000 },
|
2270 |
|
|
{ -0.0054712917933270972, 2.0000000000000000, 1.0000000000000000,
|
2271 |
|
|
-7.0000000000000000 },
|
2272 |
|
|
{ -0.012393760883331793, 2.0000000000000000, 1.0000000000000000,
|
2273 |
|
|
-6.0000000000000000 },
|
2274 |
|
|
{ -0.026951787996341868, 2.0000000000000000, 1.0000000000000000,
|
2275 |
|
|
-5.0000000000000000 },
|
2276 |
|
|
{ -0.054946916666202536, 2.0000000000000000, 1.0000000000000000,
|
2277 |
|
|
-4.0000000000000000 },
|
2278 |
|
|
{ -0.099574136735727889, 2.0000000000000000, 1.0000000000000000,
|
2279 |
|
|
-3.0000000000000000 },
|
2280 |
|
|
{ -0.13533528323661270, 2.0000000000000000, 1.0000000000000000,
|
2281 |
|
|
-2.0000000000000000 },
|
2282 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 1.0000000000000000,
|
2283 |
|
|
0.0000000000000000 },
|
2284 |
|
|
{ 5.4365636569180902, 2.0000000000000000, 1.0000000000000000,
|
2285 |
|
|
1.0000000000000000 },
|
2286 |
|
|
{ 22.167168296791949, 2.0000000000000000, 1.0000000000000000,
|
2287 |
|
|
2.0000000000000000 },
|
2288 |
|
|
{ 80.342147692750672, 2.0000000000000000, 1.0000000000000000,
|
2289 |
|
|
3.0000000000000000 },
|
2290 |
|
|
{ 272.99075016572118, 2.0000000000000000, 1.0000000000000000,
|
2291 |
|
|
4.0000000000000000 },
|
2292 |
|
|
{ 890.47895461545954, 2.0000000000000000, 1.0000000000000000,
|
2293 |
|
|
5.0000000000000000 },
|
2294 |
|
|
{ 2824.0015544491457, 2.0000000000000000, 1.0000000000000000,
|
2295 |
|
|
6.0000000000000000 },
|
2296 |
|
|
{ 8773.0652674276680, 2.0000000000000000, 1.0000000000000000,
|
2297 |
|
|
7.0000000000000000 },
|
2298 |
|
|
{ 26828.621883375556, 2.0000000000000000, 1.0000000000000000,
|
2299 |
|
|
8.0000000000000000 },
|
2300 |
|
|
{ 81030.839275753839, 2.0000000000000000, 1.0000000000000000,
|
2301 |
|
|
9.0000000000000000 },
|
2302 |
|
|
{ 242291.12374287390, 2.0000000000000000, 1.0000000000000000,
|
2303 |
|
|
10.000000000000000 },
|
2304 |
|
|
};
|
2305 |
|
|
|
2306 |
|
|
// Test function for a=2.0000000000000000, c=1.0000000000000000.
|
2307 |
|
|
template <typename Tp>
|
2308 |
|
|
void test031()
|
2309 |
|
|
{
|
2310 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2311 |
|
|
Tp max_abs_diff = -Tp(1);
|
2312 |
|
|
Tp max_abs_frac = -Tp(1);
|
2313 |
|
|
unsigned int num_datum = sizeof(data031)
|
2314 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2315 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2316 |
|
|
{
|
2317 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data031[i].a), Tp(data031[i].c),
|
2318 |
|
|
Tp(data031[i].x));
|
2319 |
|
|
const Tp f0 = data031[i].f0;
|
2320 |
|
|
const Tp diff = f - f0;
|
2321 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2322 |
|
|
max_abs_diff = std::abs(diff);
|
2323 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2324 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2325 |
|
|
{
|
2326 |
|
|
const Tp frac = diff / f0;
|
2327 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2328 |
|
|
max_abs_frac = std::abs(frac);
|
2329 |
|
|
}
|
2330 |
|
|
}
|
2331 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
2332 |
|
|
}
|
2333 |
|
|
|
2334 |
|
|
// Test data for a=2.0000000000000000, c=2.0000000000000000.
|
2335 |
|
|
testcase_conf_hyperg<double> data032[] = {
|
2336 |
|
|
{ 4.5399929762484854e-05, 2.0000000000000000, 2.0000000000000000,
|
2337 |
|
|
-10.000000000000000 },
|
2338 |
|
|
{ 0.00012340980408667956, 2.0000000000000000, 2.0000000000000000,
|
2339 |
|
|
-9.0000000000000000 },
|
2340 |
|
|
{ 0.00033546262790251185, 2.0000000000000000, 2.0000000000000000,
|
2341 |
|
|
-8.0000000000000000 },
|
2342 |
|
|
{ 0.00091188196555451624, 2.0000000000000000, 2.0000000000000000,
|
2343 |
|
|
-7.0000000000000000 },
|
2344 |
|
|
{ 0.0024787521766663585, 2.0000000000000000, 2.0000000000000000,
|
2345 |
|
|
-6.0000000000000000 },
|
2346 |
|
|
{ 0.0067379469990854670, 2.0000000000000000, 2.0000000000000000,
|
2347 |
|
|
-5.0000000000000000 },
|
2348 |
|
|
{ 0.018315638888734179, 2.0000000000000000, 2.0000000000000000,
|
2349 |
|
|
-4.0000000000000000 },
|
2350 |
|
|
{ 0.049787068367863944, 2.0000000000000000, 2.0000000000000000,
|
2351 |
|
|
-3.0000000000000000 },
|
2352 |
|
|
{ 0.13533528323661270, 2.0000000000000000, 2.0000000000000000,
|
2353 |
|
|
-2.0000000000000000 },
|
2354 |
|
|
{ 0.36787944117144233, 2.0000000000000000, 2.0000000000000000,
|
2355 |
|
|
-1.0000000000000000 },
|
2356 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 2.0000000000000000,
|
2357 |
|
|
0.0000000000000000 },
|
2358 |
|
|
{ 2.7182818284590451, 2.0000000000000000, 2.0000000000000000,
|
2359 |
|
|
1.0000000000000000 },
|
2360 |
|
|
{ 7.3890560989306504, 2.0000000000000000, 2.0000000000000000,
|
2361 |
|
|
2.0000000000000000 },
|
2362 |
|
|
{ 20.085536923187668, 2.0000000000000000, 2.0000000000000000,
|
2363 |
|
|
3.0000000000000000 },
|
2364 |
|
|
{ 54.598150033144236, 2.0000000000000000, 2.0000000000000000,
|
2365 |
|
|
4.0000000000000000 },
|
2366 |
|
|
{ 148.41315910257660, 2.0000000000000000, 2.0000000000000000,
|
2367 |
|
|
5.0000000000000000 },
|
2368 |
|
|
{ 403.42879349273511, 2.0000000000000000, 2.0000000000000000,
|
2369 |
|
|
6.0000000000000000 },
|
2370 |
|
|
{ 1096.6331584284585, 2.0000000000000000, 2.0000000000000000,
|
2371 |
|
|
7.0000000000000000 },
|
2372 |
|
|
{ 2980.9579870417283, 2.0000000000000000, 2.0000000000000000,
|
2373 |
|
|
8.0000000000000000 },
|
2374 |
|
|
{ 8103.0839275753842, 2.0000000000000000, 2.0000000000000000,
|
2375 |
|
|
9.0000000000000000 },
|
2376 |
|
|
{ 22026.465794806718, 2.0000000000000000, 2.0000000000000000,
|
2377 |
|
|
10.000000000000000 },
|
2378 |
|
|
};
|
2379 |
|
|
|
2380 |
|
|
// Test function for a=2.0000000000000000, c=2.0000000000000000.
|
2381 |
|
|
template <typename Tp>
|
2382 |
|
|
void test032()
|
2383 |
|
|
{
|
2384 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2385 |
|
|
Tp max_abs_diff = -Tp(1);
|
2386 |
|
|
Tp max_abs_frac = -Tp(1);
|
2387 |
|
|
unsigned int num_datum = sizeof(data032)
|
2388 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2389 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2390 |
|
|
{
|
2391 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data032[i].a), Tp(data032[i].c),
|
2392 |
|
|
Tp(data032[i].x));
|
2393 |
|
|
const Tp f0 = data032[i].f0;
|
2394 |
|
|
const Tp diff = f - f0;
|
2395 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2396 |
|
|
max_abs_diff = std::abs(diff);
|
2397 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2398 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2399 |
|
|
{
|
2400 |
|
|
const Tp frac = diff / f0;
|
2401 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2402 |
|
|
max_abs_frac = std::abs(frac);
|
2403 |
|
|
}
|
2404 |
|
|
}
|
2405 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2406 |
|
|
}
|
2407 |
|
|
|
2408 |
|
|
// Test data for a=2.0000000000000000, c=3.0000000000000000.
|
2409 |
|
|
testcase_conf_hyperg<double> data033[] = {
|
2410 |
|
|
{ 0.019990012015452256, 2.0000000000000000, 3.0000000000000000,
|
2411 |
|
|
-10.000000000000000 },
|
2412 |
|
|
{ 0.024660886468126749, 2.0000000000000000, 3.0000000000000000,
|
2413 |
|
|
-9.0000000000000000 },
|
2414 |
|
|
{ 0.031155651135902421, 2.0000000000000000, 3.0000000000000000,
|
2415 |
|
|
-8.0000000000000000 },
|
2416 |
|
|
{ 0.040518569154104643, 2.0000000000000000, 3.0000000000000000,
|
2417 |
|
|
-7.0000000000000000 },
|
2418 |
|
|
{ 0.054591596375740861, 2.0000000000000000, 3.0000000000000000,
|
2419 |
|
|
-6.0000000000000000 },
|
2420 |
|
|
{ 0.076765785440438966, 2.0000000000000000, 3.0000000000000000,
|
2421 |
|
|
-5.0000000000000000 },
|
2422 |
|
|
{ 0.11355272569454113, 2.0000000000000000, 3.0000000000000000,
|
2423 |
|
|
-4.0000000000000000 },
|
2424 |
|
|
{ 0.17796705033967650, 2.0000000000000000, 3.0000000000000000,
|
2425 |
|
|
-3.0000000000000000 },
|
2426 |
|
|
{ 0.29699707514508100, 2.0000000000000000, 3.0000000000000000,
|
2427 |
|
|
-2.0000000000000000 },
|
2428 |
|
|
{ 0.52848223531423066, 2.0000000000000000, 3.0000000000000000,
|
2429 |
|
|
-1.0000000000000000 },
|
2430 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 3.0000000000000000,
|
2431 |
|
|
0.0000000000000000 },
|
2432 |
|
|
{ 2.0000000000000000, 2.0000000000000000, 3.0000000000000000,
|
2433 |
|
|
1.0000000000000000 },
|
2434 |
|
|
{ 4.1945280494653261, 2.0000000000000000, 3.0000000000000000,
|
2435 |
|
|
2.0000000000000000 },
|
2436 |
|
|
{ 9.1491275214167409, 2.0000000000000000, 3.0000000000000000,
|
2437 |
|
|
3.0000000000000000 },
|
2438 |
|
|
{ 20.599306262429089, 2.0000000000000000, 3.0000000000000000,
|
2439 |
|
|
4.0000000000000000 },
|
2440 |
|
|
{ 47.572210912824517, 2.0000000000000000, 3.0000000000000000,
|
2441 |
|
|
5.0000000000000000 },
|
2442 |
|
|
{ 112.11910930353754, 2.0000000000000000, 3.0000000000000000,
|
2443 |
|
|
6.0000000000000000 },
|
2444 |
|
|
{ 268.60403879880613, 2.0000000000000000, 3.0000000000000000,
|
2445 |
|
|
7.0000000000000000 },
|
2446 |
|
|
{ 652.11580966537815, 2.0000000000000000, 3.0000000000000000,
|
2447 |
|
|
8.0000000000000000 },
|
2448 |
|
|
{ 1600.6338622371129, 2.0000000000000000, 3.0000000000000000,
|
2449 |
|
|
9.0000000000000000 },
|
2450 |
|
|
{ 3964.7838430652091, 2.0000000000000000, 3.0000000000000000,
|
2451 |
|
|
10.000000000000000 },
|
2452 |
|
|
};
|
2453 |
|
|
|
2454 |
|
|
// Test function for a=2.0000000000000000, c=3.0000000000000000.
|
2455 |
|
|
template <typename Tp>
|
2456 |
|
|
void test033()
|
2457 |
|
|
{
|
2458 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2459 |
|
|
Tp max_abs_diff = -Tp(1);
|
2460 |
|
|
Tp max_abs_frac = -Tp(1);
|
2461 |
|
|
unsigned int num_datum = sizeof(data033)
|
2462 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2463 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2464 |
|
|
{
|
2465 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data033[i].a), Tp(data033[i].c),
|
2466 |
|
|
Tp(data033[i].x));
|
2467 |
|
|
const Tp f0 = data033[i].f0;
|
2468 |
|
|
const Tp diff = f - f0;
|
2469 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2470 |
|
|
max_abs_diff = std::abs(diff);
|
2471 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2472 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2473 |
|
|
{
|
2474 |
|
|
const Tp frac = diff / f0;
|
2475 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2476 |
|
|
max_abs_frac = std::abs(frac);
|
2477 |
|
|
}
|
2478 |
|
|
}
|
2479 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2480 |
|
|
}
|
2481 |
|
|
|
2482 |
|
|
// Test data for a=2.0000000000000000, c=4.0000000000000000.
|
2483 |
|
|
testcase_conf_hyperg<double> data034[] = {
|
2484 |
|
|
{ 0.048003268794942940, 2.0000000000000000, 4.0000000000000000,
|
2485 |
|
|
-10.000000000000000 },
|
2486 |
|
|
{ 0.057624341628353531, 2.0000000000000000, 4.0000000000000000,
|
2487 |
|
|
-9.0000000000000000 },
|
2488 |
|
|
{ 0.070351812026707330, 2.0000000000000000, 4.0000000000000000,
|
2489 |
|
|
-8.0000000000000000 },
|
2490 |
|
|
{ 0.087607118443556703, 2.0000000000000000, 4.0000000000000000,
|
2491 |
|
|
-7.0000000000000000 },
|
2492 |
|
|
{ 0.11166194492814813, 2.0000000000000000, 4.0000000000000000,
|
2493 |
|
|
-6.0000000000000000 },
|
2494 |
|
|
{ 0.14626395019169278, 2.0000000000000000, 4.0000000000000000,
|
2495 |
|
|
-5.0000000000000000 },
|
2496 |
|
|
{ 0.19780254687491294, 2.0000000000000000, 4.0000000000000000,
|
2497 |
|
|
-4.0000000000000000 },
|
2498 |
|
|
{ 0.27754118707540443, 2.0000000000000000, 4.0000000000000000,
|
2499 |
|
|
-3.0000000000000000 },
|
2500 |
|
|
{ 0.40600584970983811, 2.0000000000000000, 4.0000000000000000,
|
2501 |
|
|
-2.0000000000000000 },
|
2502 |
|
|
{ 0.62182994108596168, 2.0000000000000000, 4.0000000000000000,
|
2503 |
|
|
-1.0000000000000000 },
|
2504 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 4.0000000000000000,
|
2505 |
|
|
0.0000000000000000 },
|
2506 |
|
|
{ 1.6903090292457283, 2.0000000000000000, 4.0000000000000000,
|
2507 |
|
|
1.0000000000000000 },
|
2508 |
|
|
{ 3.0000000000000000, 2.0000000000000000, 4.0000000000000000,
|
2509 |
|
|
2.0000000000000000 },
|
2510 |
|
|
{ 5.5745637607083705, 2.0000000000000000, 4.0000000000000000,
|
2511 |
|
|
3.0000000000000000 },
|
2512 |
|
|
{ 10.799653131214550, 2.0000000000000000, 4.0000000000000000,
|
2513 |
|
|
4.0000000000000000 },
|
2514 |
|
|
{ 21.707494910771043, 2.0000000000000000, 4.0000000000000000,
|
2515 |
|
|
5.0000000000000000 },
|
2516 |
|
|
{ 45.047643721415056, 2.0000000000000000, 4.0000000000000000,
|
2517 |
|
|
6.0000000000000000 },
|
2518 |
|
|
{ 96.072870999573695, 2.0000000000000000, 4.0000000000000000,
|
2519 |
|
|
7.0000000000000000 },
|
2520 |
|
|
{ 209.71579596387159, 2.0000000000000000, 4.0000000000000000,
|
2521 |
|
|
8.0000000000000000 },
|
2522 |
|
|
{ 466.93487648582493, 2.0000000000000000, 4.0000000000000000,
|
2523 |
|
|
9.0000000000000000 },
|
2524 |
|
|
{ 1057.3423581507243, 2.0000000000000000, 4.0000000000000000,
|
2525 |
|
|
10.000000000000000 },
|
2526 |
|
|
};
|
2527 |
|
|
|
2528 |
|
|
// Test function for a=2.0000000000000000, c=4.0000000000000000.
|
2529 |
|
|
template <typename Tp>
|
2530 |
|
|
void test034()
|
2531 |
|
|
{
|
2532 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2533 |
|
|
Tp max_abs_diff = -Tp(1);
|
2534 |
|
|
Tp max_abs_frac = -Tp(1);
|
2535 |
|
|
unsigned int num_datum = sizeof(data034)
|
2536 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2537 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2538 |
|
|
{
|
2539 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data034[i].a), Tp(data034[i].c),
|
2540 |
|
|
Tp(data034[i].x));
|
2541 |
|
|
const Tp f0 = data034[i].f0;
|
2542 |
|
|
const Tp diff = f - f0;
|
2543 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2544 |
|
|
max_abs_diff = std::abs(diff);
|
2545 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2546 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2547 |
|
|
{
|
2548 |
|
|
const Tp frac = diff / f0;
|
2549 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2550 |
|
|
max_abs_frac = std::abs(frac);
|
2551 |
|
|
}
|
2552 |
|
|
}
|
2553 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2554 |
|
|
}
|
2555 |
|
|
|
2556 |
|
|
// Test data for a=2.0000000000000000, c=5.0000000000000000.
|
2557 |
|
|
testcase_conf_hyperg<double> data035[] = {
|
2558 |
|
|
{ 0.079198583522191404, 2.0000000000000000, 5.0000000000000000,
|
2559 |
|
|
-10.000000000000000 },
|
2560 |
|
|
{ 0.093273046483222530, 2.0000000000000000, 5.0000000000000000,
|
2561 |
|
|
-9.0000000000000000 },
|
2562 |
|
|
{ 0.11130650338531098, 2.0000000000000000, 5.0000000000000000,
|
2563 |
|
|
-8.0000000000000000 },
|
2564 |
|
|
{ 0.13485262321044020, 2.0000000000000000, 5.0000000000000000,
|
2565 |
|
|
-7.0000000000000000 },
|
2566 |
|
|
{ 0.16625354130388895, 2.0000000000000000, 5.0000000000000000,
|
2567 |
|
|
-6.0000000000000000 },
|
2568 |
|
|
{ 0.20913010268188095, 2.0000000000000000, 5.0000000000000000,
|
2569 |
|
|
-5.0000000000000000 },
|
2570 |
|
|
{ 0.26923036197926808, 2.0000000000000000, 5.0000000000000000,
|
2571 |
|
|
-4.0000000000000000 },
|
2572 |
|
|
{ 0.35593410067935288, 2.0000000000000000, 5.0000000000000000,
|
2573 |
|
|
-3.0000000000000000 },
|
2574 |
|
|
{ 0.48498537572540468, 2.0000000000000000, 5.0000000000000000,
|
2575 |
|
|
-2.0000000000000000 },
|
2576 |
|
|
{ 0.68357364754153715, 2.0000000000000000, 5.0000000000000000,
|
2577 |
|
|
-1.0000000000000000 },
|
2578 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 5.0000000000000000,
|
2579 |
|
|
0.0000000000000000 },
|
2580 |
|
|
{ 1.5224722339658285, 2.0000000000000000, 5.0000000000000000,
|
2581 |
|
|
1.0000000000000000 },
|
2582 |
|
|
{ 2.4164158516040235, 2.0000000000000000, 5.0000000000000000,
|
2583 |
|
|
2.0000000000000000 },
|
2584 |
|
|
{ 4.0000000000000009, 2.0000000000000000, 5.0000000000000000,
|
2585 |
|
|
3.0000000000000000 },
|
2586 |
|
|
{ 6.8998265656072721, 2.0000000000000000, 5.0000000000000000,
|
2587 |
|
|
4.0000000000000000 },
|
2588 |
|
|
{ 12.377330619077886, 2.0000000000000000, 5.0000000000000000,
|
2589 |
|
|
5.0000000000000000 },
|
2590 |
|
|
{ 23.023821860707503, 2.0000000000000000, 5.0000000000000000,
|
2591 |
|
|
6.0000000000000000 },
|
2592 |
|
|
{ 44.261883885519374, 2.0000000000000000, 5.0000000000000000,
|
2593 |
|
|
7.0000000000000000 },
|
2594 |
|
|
{ 87.631581651613160, 2.0000000000000000, 5.0000000000000000,
|
2595 |
|
|
8.0000000000000000 },
|
2596 |
|
|
{ 178.07042913745681, 2.0000000000000000, 5.0000000000000000,
|
2597 |
|
|
9.0000000000000000 },
|
2598 |
|
|
{ 370.21982535275242, 2.0000000000000000, 5.0000000000000000,
|
2599 |
|
|
10.000000000000000 },
|
2600 |
|
|
};
|
2601 |
|
|
|
2602 |
|
|
// Test function for a=2.0000000000000000, c=5.0000000000000000.
|
2603 |
|
|
template <typename Tp>
|
2604 |
|
|
void test035()
|
2605 |
|
|
{
|
2606 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2607 |
|
|
Tp max_abs_diff = -Tp(1);
|
2608 |
|
|
Tp max_abs_frac = -Tp(1);
|
2609 |
|
|
unsigned int num_datum = sizeof(data035)
|
2610 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2611 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2612 |
|
|
{
|
2613 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data035[i].a), Tp(data035[i].c),
|
2614 |
|
|
Tp(data035[i].x));
|
2615 |
|
|
const Tp f0 = data035[i].f0;
|
2616 |
|
|
const Tp diff = f - f0;
|
2617 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2618 |
|
|
max_abs_diff = std::abs(diff);
|
2619 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2620 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2621 |
|
|
{
|
2622 |
|
|
const Tp frac = diff / f0;
|
2623 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2624 |
|
|
max_abs_frac = std::abs(frac);
|
2625 |
|
|
}
|
2626 |
|
|
}
|
2627 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2628 |
|
|
}
|
2629 |
|
|
|
2630 |
|
|
// Test data for a=2.0000000000000000, c=6.0000000000000000.
|
2631 |
|
|
testcase_conf_hyperg<double> data036[] = {
|
2632 |
|
|
{ 0.11120076271882003, 2.0000000000000000, 6.0000000000000000,
|
2633 |
|
|
-10.000000000000000 },
|
2634 |
|
|
{ 0.12904862943139384, 2.0000000000000000, 6.0000000000000000,
|
2635 |
|
|
-9.0000000000000000 },
|
2636 |
|
|
{ 0.15138192951001525, 2.0000000000000000, 6.0000000000000000,
|
2637 |
|
|
-8.0000000000000000 },
|
2638 |
|
|
{ 0.17975865319179699, 2.0000000000000000, 6.0000000000000000,
|
2639 |
|
|
-7.0000000000000000 },
|
2640 |
|
|
{ 0.21643190620010283, 2.0000000000000000, 6.0000000000000000,
|
2641 |
|
|
-6.0000000000000000 },
|
2642 |
|
|
{ 0.26472863448288397, 2.0000000000000000, 6.0000000000000000,
|
2643 |
|
|
-5.0000000000000000 },
|
2644 |
|
|
{ 0.32967091145818839, 2.0000000000000000, 6.0000000000000000,
|
2645 |
|
|
-4.0000000000000000 },
|
2646 |
|
|
{ 0.41901702645681349, 2.0000000000000000, 6.0000000000000000,
|
2647 |
|
|
-3.0000000000000000 },
|
2648 |
|
|
{ 0.54504387282378575, 2.0000000000000000, 6.0000000000000000,
|
2649 |
|
|
-2.0000000000000000 },
|
2650 |
|
|
{ 0.72766470286539298, 2.0000000000000000, 6.0000000000000000,
|
2651 |
|
|
-1.0000000000000000 },
|
2652 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 6.0000000000000000,
|
2653 |
|
|
0.0000000000000000 },
|
2654 |
|
|
{ 1.4185417547437151, 2.0000000000000000, 6.0000000000000000,
|
2655 |
|
|
1.0000000000000000 },
|
2656 |
|
|
{ 2.0820792580201224, 2.0000000000000000, 6.0000000000000000,
|
2657 |
|
|
2.0000000000000000 },
|
2658 |
|
|
{ 3.1676360873147318, 2.0000000000000000, 6.0000000000000000,
|
2659 |
|
|
3.0000000000000000 },
|
2660 |
|
|
{ 4.9999999999999982, 2.0000000000000000, 6.0000000000000000,
|
2661 |
|
|
4.0000000000000000 },
|
2662 |
|
|
{ 8.1886653095389406, 2.0000000000000000, 6.0000000000000000,
|
2663 |
|
|
5.0000000000000000 },
|
2664 |
|
|
{ 13.902123255948611, 2.0000000000000000, 6.0000000000000000,
|
2665 |
|
|
6.0000000000000000 },
|
2666 |
|
|
{ 24.426009224385378, 2.0000000000000000, 6.0000000000000000,
|
2667 |
|
|
7.0000000000000000 },
|
2668 |
|
|
{ 44.315790825806538, 2.0000000000000000, 6.0000000000000000,
|
2669 |
|
|
8.0000000000000000 },
|
2670 |
|
|
{ 82.810383859933609, 2.0000000000000000, 6.0000000000000000,
|
2671 |
|
|
9.0000000000000000 },
|
2672 |
|
|
{ 158.95135372260788, 2.0000000000000000, 6.0000000000000000,
|
2673 |
|
|
10.000000000000000 },
|
2674 |
|
|
};
|
2675 |
|
|
|
2676 |
|
|
// Test function for a=2.0000000000000000, c=6.0000000000000000.
|
2677 |
|
|
template <typename Tp>
|
2678 |
|
|
void test036()
|
2679 |
|
|
{
|
2680 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2681 |
|
|
Tp max_abs_diff = -Tp(1);
|
2682 |
|
|
Tp max_abs_frac = -Tp(1);
|
2683 |
|
|
unsigned int num_datum = sizeof(data036)
|
2684 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2685 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2686 |
|
|
{
|
2687 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data036[i].a), Tp(data036[i].c),
|
2688 |
|
|
Tp(data036[i].x));
|
2689 |
|
|
const Tp f0 = data036[i].f0;
|
2690 |
|
|
const Tp diff = f - f0;
|
2691 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2692 |
|
|
max_abs_diff = std::abs(diff);
|
2693 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2694 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2695 |
|
|
{
|
2696 |
|
|
const Tp frac = diff / f0;
|
2697 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2698 |
|
|
max_abs_frac = std::abs(frac);
|
2699 |
|
|
}
|
2700 |
|
|
}
|
2701 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2702 |
|
|
}
|
2703 |
|
|
|
2704 |
|
|
// Test data for a=2.0000000000000000, c=7.0000000000000000.
|
2705 |
|
|
testcase_conf_hyperg<double> data037[] = {
|
2706 |
|
|
{ 0.14279950968075858, 2.0000000000000000, 7.0000000000000000,
|
2707 |
|
|
-10.000000000000000 },
|
2708 |
|
|
{ 0.16375995835694801, 2.0000000000000000, 7.0000000000000000,
|
2709 |
|
|
-9.0000000000000000 },
|
2710 |
|
|
{ 0.18950218227311263, 2.0000000000000000, 7.0000000000000000,
|
2711 |
|
|
-8.0000000000000000 },
|
2712 |
|
|
{ 0.22152437623624174, 2.0000000000000000, 7.0000000000000000,
|
2713 |
|
|
-7.0000000000000000 },
|
2714 |
|
|
{ 0.26192490317988687, 2.0000000000000000, 7.0000000000000000,
|
2715 |
|
|
-6.0000000000000000 },
|
2716 |
|
|
{ 0.31369515402282139, 2.0000000000000000, 7.0000000000000000,
|
2717 |
|
|
-5.0000000000000000 },
|
2718 |
|
|
{ 0.38118033691430731, 2.0000000000000000, 7.0000000000000000,
|
2719 |
|
|
-4.0000000000000000 },
|
2720 |
|
|
{ 0.47081822524156886, 2.0000000000000000, 7.0000000000000000,
|
2721 |
|
|
-3.0000000000000000 },
|
2722 |
|
|
{ 0.59234644511675072, 2.0000000000000000, 7.0000000000000000,
|
2723 |
|
|
-2.0000000000000000 },
|
2724 |
|
|
{ 0.76081413936917086, 2.0000000000000000, 7.0000000000000000,
|
2725 |
|
|
-1.0000000000000000 },
|
2726 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 7.0000000000000000,
|
2727 |
|
|
0.0000000000000000 },
|
2728 |
|
|
{ 1.3483340379497220, 2.0000000000000000, 7.0000000000000000,
|
2729 |
|
|
1.0000000000000000 },
|
2730 |
|
|
{ 1.8693566610905543, 2.0000000000000000, 7.0000000000000000,
|
2731 |
|
|
2.0000000000000000 },
|
2732 |
|
|
{ 2.6705443492589280, 2.0000000000000000, 7.0000000000000000,
|
2733 |
|
|
3.0000000000000000 },
|
2734 |
|
|
{ 3.9378251894863650, 2.0000000000000000, 7.0000000000000000,
|
2735 |
|
|
4.0000000000000000 },
|
2736 |
|
|
{ 6.0000000000000018, 2.0000000000000000, 7.0000000000000000,
|
2737 |
|
|
5.0000000000000000 },
|
2738 |
|
|
{ 9.4510616279743118, 2.0000000000000000, 7.0000000000000000,
|
2739 |
|
|
6.0000000000000000 },
|
2740 |
|
|
{ 15.386290985363090, 2.0000000000000000, 7.0000000000000000,
|
2741 |
|
|
7.0000000000000000 },
|
2742 |
|
|
{ 25.865132339516244, 2.0000000000000000, 7.0000000000000000,
|
2743 |
|
|
8.0000000000000000 },
|
2744 |
|
|
{ 44.832204725298020, 2.0000000000000000, 7.0000000000000000,
|
2745 |
|
|
9.0000000000000000 },
|
2746 |
|
|
{ 79.975676861303967, 2.0000000000000000, 7.0000000000000000,
|
2747 |
|
|
10.000000000000000 },
|
2748 |
|
|
};
|
2749 |
|
|
|
2750 |
|
|
// Test function for a=2.0000000000000000, c=7.0000000000000000.
|
2751 |
|
|
template <typename Tp>
|
2752 |
|
|
void test037()
|
2753 |
|
|
{
|
2754 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2755 |
|
|
Tp max_abs_diff = -Tp(1);
|
2756 |
|
|
Tp max_abs_frac = -Tp(1);
|
2757 |
|
|
unsigned int num_datum = sizeof(data037)
|
2758 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2759 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2760 |
|
|
{
|
2761 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data037[i].a), Tp(data037[i].c),
|
2762 |
|
|
Tp(data037[i].x));
|
2763 |
|
|
const Tp f0 = data037[i].f0;
|
2764 |
|
|
const Tp diff = f - f0;
|
2765 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2766 |
|
|
max_abs_diff = std::abs(diff);
|
2767 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2768 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2769 |
|
|
{
|
2770 |
|
|
const Tp frac = diff / f0;
|
2771 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2772 |
|
|
max_abs_frac = std::abs(frac);
|
2773 |
|
|
}
|
2774 |
|
|
}
|
2775 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2776 |
|
|
}
|
2777 |
|
|
|
2778 |
|
|
// Test data for a=2.0000000000000000, c=8.0000000000000000.
|
2779 |
|
|
testcase_conf_hyperg<double> data038[] = {
|
2780 |
|
|
{ 0.17337636610503362, 2.0000000000000000, 8.0000000000000000,
|
2781 |
|
|
-10.000000000000000 },
|
2782 |
|
|
{ 0.19686670136921000, 2.0000000000000000, 8.0000000000000000,
|
2783 |
|
|
-9.0000000000000000 },
|
2784 |
|
|
{ 0.22527678978110538, 2.0000000000000000, 8.0000000000000000,
|
2785 |
|
|
-8.0000000000000000 },
|
2786 |
|
|
{ 0.26001525907740475, 2.0000000000000000, 8.0000000000000000,
|
2787 |
|
|
-7.0000000000000000 },
|
2788 |
|
|
{ 0.30300466868014397, 2.0000000000000000, 8.0000000000000000,
|
2789 |
|
|
-6.0000000000000000 },
|
2790 |
|
|
{ 0.35690946280485503, 2.0000000000000000, 8.0000000000000000,
|
2791 |
|
|
-5.0000000000000000 },
|
2792 |
|
|
{ 0.42548267822218039, 2.0000000000000000, 8.0000000000000000,
|
2793 |
|
|
-4.0000000000000000 },
|
2794 |
|
|
{ 0.51410215874088183, 2.0000000000000000, 8.0000000000000000,
|
2795 |
|
|
-3.0000000000000000 },
|
2796 |
|
|
{ 0.63061421953299790, 2.0000000000000000, 8.0000000000000000,
|
2797 |
|
|
-2.0000000000000000 },
|
2798 |
|
|
{ 0.78668452848510595, 2.0000000000000000, 8.0000000000000000,
|
2799 |
|
|
-1.0000000000000000 },
|
2800 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 8.0000000000000000,
|
2801 |
|
|
0.0000000000000000 },
|
2802 |
|
|
{ 1.2979228320600693, 2.0000000000000000, 8.0000000000000000,
|
2803 |
|
|
1.0000000000000000 },
|
2804 |
|
|
{ 1.7236644184225898, 2.0000000000000000, 8.0000000000000000,
|
2805 |
|
|
2.0000000000000000 },
|
2806 |
|
|
{ 2.3469052224062485, 2.0000000000000000, 8.0000000000000000,
|
2807 |
|
|
3.0000000000000000 },
|
2808 |
|
|
{ 3.2823881632022749, 2.0000000000000000, 8.0000000000000000,
|
2809 |
|
|
4.0000000000000000 },
|
2810 |
|
|
{ 4.7230422799745782, 2.0000000000000000, 8.0000000000000000,
|
2811 |
|
|
5.0000000000000000 },
|
2812 |
|
|
{ 7.0000000000000009, 2.0000000000000000, 8.0000000000000000,
|
2813 |
|
|
6.0000000000000000 },
|
2814 |
|
|
{ 10.693145492681536, 2.0000000000000000, 8.0000000000000000,
|
2815 |
|
|
7.0000000000000000 },
|
2816 |
|
|
{ 16.837993864717802, 2.0000000000000000, 8.0000000000000000,
|
2817 |
|
|
8.0000000000000000 },
|
2818 |
|
|
{ 27.318786089757165, 2.0000000000000000, 8.0000000000000000,
|
2819 |
|
|
9.0000000000000000 },
|
2820 |
|
|
{ 45.626379042330321, 2.0000000000000000, 8.0000000000000000,
|
2821 |
|
|
10.000000000000000 },
|
2822 |
|
|
};
|
2823 |
|
|
|
2824 |
|
|
// Test function for a=2.0000000000000000, c=8.0000000000000000.
|
2825 |
|
|
template <typename Tp>
|
2826 |
|
|
void test038()
|
2827 |
|
|
{
|
2828 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2829 |
|
|
Tp max_abs_diff = -Tp(1);
|
2830 |
|
|
Tp max_abs_frac = -Tp(1);
|
2831 |
|
|
unsigned int num_datum = sizeof(data038)
|
2832 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2833 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2834 |
|
|
{
|
2835 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data038[i].a), Tp(data038[i].c),
|
2836 |
|
|
Tp(data038[i].x));
|
2837 |
|
|
const Tp f0 = data038[i].f0;
|
2838 |
|
|
const Tp diff = f - f0;
|
2839 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2840 |
|
|
max_abs_diff = std::abs(diff);
|
2841 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2842 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2843 |
|
|
{
|
2844 |
|
|
const Tp frac = diff / f0;
|
2845 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2846 |
|
|
max_abs_frac = std::abs(frac);
|
2847 |
|
|
}
|
2848 |
|
|
}
|
2849 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2850 |
|
|
}
|
2851 |
|
|
|
2852 |
|
|
// Test data for a=2.0000000000000000, c=9.0000000000000000.
|
2853 |
|
|
testcase_conf_hyperg<double> data039[] = {
|
2854 |
|
|
{ 0.20263008881072142, 2.0000000000000000, 9.0000000000000000,
|
2855 |
|
|
-10.000000000000000 },
|
2856 |
|
|
{ 0.22815601647956382, 2.0000000000000000, 9.0000000000000000,
|
2857 |
|
|
-9.0000000000000000 },
|
2858 |
|
|
{ 0.25863201094881560, 2.0000000000000000, 9.0000000000000000,
|
2859 |
|
|
-8.0000000000000000 },
|
2860 |
|
|
{ 0.29536583498165569, 2.0000000000000000, 9.0000000000000000,
|
2861 |
|
|
-7.0000000000000000 },
|
2862 |
|
|
{ 0.34010436746201422, 2.0000000000000000, 9.0000000000000000,
|
2863 |
|
|
-6.0000000000000000 },
|
2864 |
|
|
{ 0.39521257401334392, 2.0000000000000000, 9.0000000000000000,
|
2865 |
|
|
-5.0000000000000000 },
|
2866 |
|
|
{ 0.46393810791120338, 2.0000000000000000, 9.0000000000000000,
|
2867 |
|
|
-4.0000000000000000 },
|
2868 |
|
|
{ 0.55080841854553553, 2.0000000000000000, 9.0000000000000000,
|
2869 |
|
|
-3.0000000000000000 },
|
2870 |
|
|
{ 0.66223601210150940, 2.0000000000000000, 9.0000000000000000,
|
2871 |
|
|
-2.0000000000000000 },
|
2872 |
|
|
{ 0.80745573956474603, 2.0000000000000000, 9.0000000000000000,
|
2873 |
|
|
-1.0000000000000000 },
|
2874 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 9.0000000000000000,
|
2875 |
|
|
0.0000000000000000 },
|
2876 |
|
|
{ 1.2600591877766618, 2.0000000000000000, 9.0000000000000000,
|
2877 |
|
|
1.0000000000000000 },
|
2878 |
|
|
{ 1.6183220921129462, 2.0000000000000000, 9.0000000000000000,
|
2879 |
|
|
2.0000000000000000 },
|
2880 |
|
|
{ 2.1223296796666578, 2.0000000000000000, 9.0000000000000000,
|
2881 |
|
|
3.0000000000000000 },
|
2882 |
|
|
{ 2.8471644896068233, 2.0000000000000000, 9.0000000000000000,
|
2883 |
|
|
4.0000000000000000 },
|
2884 |
|
|
{ 3.9137352959186495, 2.0000000000000000, 9.0000000000000000,
|
2885 |
|
|
5.0000000000000000 },
|
2886 |
|
|
{ 5.5205708009288541, 2.0000000000000000, 9.0000000000000000,
|
2887 |
|
|
6.0000000000000000 },
|
2888 |
|
|
{ 7.9999999999999982, 2.0000000000000000, 9.0000000000000000,
|
2889 |
|
|
7.0000000000000000 },
|
2890 |
|
|
{ 11.918996932358892, 2.0000000000000000, 9.0000000000000000,
|
2891 |
|
|
8.0000000000000000 },
|
2892 |
|
|
{ 18.262984349485706, 2.0000000000000000, 9.0000000000000000,
|
2893 |
|
|
9.0000000000000000 },
|
2894 |
|
|
{ 28.775827425398138, 2.0000000000000000, 9.0000000000000000,
|
2895 |
|
|
10.000000000000000 },
|
2896 |
|
|
};
|
2897 |
|
|
|
2898 |
|
|
// Test function for a=2.0000000000000000, c=9.0000000000000000.
|
2899 |
|
|
template <typename Tp>
|
2900 |
|
|
void test039()
|
2901 |
|
|
{
|
2902 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2903 |
|
|
Tp max_abs_diff = -Tp(1);
|
2904 |
|
|
Tp max_abs_frac = -Tp(1);
|
2905 |
|
|
unsigned int num_datum = sizeof(data039)
|
2906 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2907 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2908 |
|
|
{
|
2909 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data039[i].a), Tp(data039[i].c),
|
2910 |
|
|
Tp(data039[i].x));
|
2911 |
|
|
const Tp f0 = data039[i].f0;
|
2912 |
|
|
const Tp diff = f - f0;
|
2913 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2914 |
|
|
max_abs_diff = std::abs(diff);
|
2915 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2916 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2917 |
|
|
{
|
2918 |
|
|
const Tp frac = diff / f0;
|
2919 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2920 |
|
|
max_abs_frac = std::abs(frac);
|
2921 |
|
|
}
|
2922 |
|
|
}
|
2923 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2924 |
|
|
}
|
2925 |
|
|
|
2926 |
|
|
// Test data for a=2.0000000000000000, c=10.000000000000000.
|
2927 |
|
|
testcase_conf_hyperg<double> data040[] = {
|
2928 |
|
|
{ 0.23043485654507717, 2.0000000000000000, 10.000000000000000,
|
2929 |
|
|
-10.000000000000000 },
|
2930 |
|
|
{ 0.25758423249046342, 2.0000000000000000, 10.000000000000000,
|
2931 |
|
|
-9.0000000000000000 },
|
2932 |
|
|
{ 0.28964158686142122, 2.0000000000000000, 10.000000000000000,
|
2933 |
|
|
-8.0000000000000000 },
|
2934 |
|
|
{ 0.32781237017833142, 2.0000000000000000, 10.000000000000000,
|
2935 |
|
|
-7.0000000000000000 },
|
2936 |
|
|
{ 0.37367756025366927, 2.0000000000000000, 10.000000000000000,
|
2937 |
|
|
-6.0000000000000000 },
|
2938 |
|
|
{ 0.42933548067397925, 2.0000000000000000, 10.000000000000000,
|
2939 |
|
|
-5.0000000000000000 },
|
2940 |
|
|
{ 0.49760646239977369, 2.0000000000000000, 10.000000000000000,
|
2941 |
|
|
-4.0000000000000000 },
|
2942 |
|
|
{ 0.58233221879973318, 2.0000000000000000, 10.000000000000000,
|
2943 |
|
|
-3.0000000000000000 },
|
2944 |
|
|
{ 0.68881993949245379, 2.0000000000000000, 10.000000000000000,
|
2945 |
|
|
-2.0000000000000000 },
|
2946 |
|
|
{ 0.82451063690694526, 2.0000000000000000, 10.000000000000000,
|
2947 |
|
|
-1.0000000000000000 },
|
2948 |
|
|
{ 1.0000000000000000, 2.0000000000000000, 10.000000000000000,
|
2949 |
|
|
0.0000000000000000 },
|
2950 |
|
|
{ 1.2306214716549471, 2.0000000000000000, 10.000000000000000,
|
2951 |
|
|
1.0000000000000000 },
|
2952 |
|
|
{ 1.5389392974099088, 2.0000000000000000, 10.000000000000000,
|
2953 |
|
|
2.0000000000000000 },
|
2954 |
|
|
{ 1.9587362987499699, 2.0000000000000000, 10.000000000000000,
|
2955 |
|
|
3.0000000000000000 },
|
2956 |
|
|
{ 2.5414934688204727, 2.0000000000000000, 10.000000000000000,
|
2957 |
|
|
4.0000000000000000 },
|
2958 |
|
|
{ 3.3670852989803555, 2.0000000000000000, 10.000000000000000,
|
2959 |
|
|
5.0000000000000000 },
|
2960 |
|
|
{ 4.5617124027865650, 2.0000000000000000, 10.000000000000000,
|
2961 |
|
|
6.0000000000000000 },
|
2962 |
|
|
{ 6.3284392760597825, 2.0000000000000000, 10.000000000000000,
|
2963 |
|
|
7.0000000000000000 },
|
2964 |
|
|
{ 9.0000000000000036, 2.0000000000000000, 10.000000000000000,
|
2965 |
|
|
8.0000000000000000 },
|
2966 |
|
|
{ 13.131492174742865, 2.0000000000000000, 10.000000000000000,
|
2967 |
|
|
9.0000000000000000 },
|
2968 |
|
|
{ 19.665496455238888, 2.0000000000000000, 10.000000000000000,
|
2969 |
|
|
10.000000000000000 },
|
2970 |
|
|
};
|
2971 |
|
|
|
2972 |
|
|
// Test function for a=2.0000000000000000, c=10.000000000000000.
|
2973 |
|
|
template <typename Tp>
|
2974 |
|
|
void test040()
|
2975 |
|
|
{
|
2976 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2977 |
|
|
Tp max_abs_diff = -Tp(1);
|
2978 |
|
|
Tp max_abs_frac = -Tp(1);
|
2979 |
|
|
unsigned int num_datum = sizeof(data040)
|
2980 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
2981 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2982 |
|
|
{
|
2983 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data040[i].a), Tp(data040[i].c),
|
2984 |
|
|
Tp(data040[i].x));
|
2985 |
|
|
const Tp f0 = data040[i].f0;
|
2986 |
|
|
const Tp diff = f - f0;
|
2987 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2988 |
|
|
max_abs_diff = std::abs(diff);
|
2989 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2990 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2991 |
|
|
{
|
2992 |
|
|
const Tp frac = diff / f0;
|
2993 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2994 |
|
|
max_abs_frac = std::abs(frac);
|
2995 |
|
|
}
|
2996 |
|
|
}
|
2997 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2998 |
|
|
}
|
2999 |
|
|
|
3000 |
|
|
// Test data for a=5.0000000000000000, c=1.0000000000000000.
|
3001 |
|
|
testcase_conf_hyperg<double> data041[] = {
|
3002 |
|
|
{ 0.00049939922738733355, 5.0000000000000000, 1.0000000000000000,
|
3003 |
|
|
-10.000000000000000 },
|
3004 |
|
|
{ -0.00057077034390089253, 5.0000000000000000, 1.0000000000000000,
|
3005 |
|
|
-9.0000000000000000 },
|
3006 |
|
|
{ -0.0032428054030576147, 5.0000000000000000, 1.0000000000000000,
|
3007 |
|
|
-8.0000000000000000 },
|
3008 |
|
|
{ -0.0078649819529077025, 5.0000000000000000, 1.0000000000000000,
|
3009 |
|
|
-7.0000000000000000 },
|
3010 |
|
|
{ -0.012393760883331793, 5.0000000000000000, 1.0000000000000000,
|
3011 |
|
|
-6.0000000000000000 },
|
3012 |
|
|
{ -0.0087031815404853934, 5.0000000000000000, 1.0000000000000000,
|
3013 |
|
|
-5.0000000000000000 },
|
3014 |
|
|
{ 0.018315638888832021, 5.0000000000000000, 1.0000000000000000,
|
3015 |
|
|
-4.0000000000000000 },
|
3016 |
|
|
{ 0.068457219005814696, 5.0000000000000000, 1.0000000000000000,
|
3017 |
|
|
-3.0000000000000000 },
|
3018 |
|
|
{ 0.045111761078875295, 5.0000000000000000, 1.0000000000000000,
|
3019 |
|
|
-2.0000000000000000 },
|
3020 |
|
|
{ -0.22992465073215118, 5.0000000000000000, 1.0000000000000000,
|
3021 |
|
|
-1.0000000000000000 },
|
3022 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 1.0000000000000000,
|
3023 |
|
|
0.0000000000000000 },
|
3024 |
|
|
{ 23.671704256164183, 5.0000000000000000, 1.0000000000000000,
|
3025 |
|
|
1.0000000000000000 },
|
3026 |
|
|
{ 199.50451467112745, 5.0000000000000000, 1.0000000000000000,
|
3027 |
|
|
2.0000000000000000 },
|
3028 |
|
|
{ 1232.7498286606428, 5.0000000000000000, 1.0000000000000000,
|
3029 |
|
|
3.0000000000000000 },
|
3030 |
|
|
{ 6460.7810872554019, 5.0000000000000000, 1.0000000000000000,
|
3031 |
|
|
4.0000000000000000 },
|
3032 |
|
|
{ 30480.352550691667, 5.0000000000000000, 1.0000000000000000,
|
3033 |
|
|
5.0000000000000000 },
|
3034 |
|
|
{ 133534.93064609534, 5.0000000000000000, 1.0000000000000000,
|
3035 |
|
|
6.0000000000000000 },
|
3036 |
|
|
{ 553479.89366849652, 5.0000000000000000, 1.0000000000000000,
|
3037 |
|
|
7.0000000000000000 },
|
3038 |
|
|
{ 2196966.0364497532, 5.0000000000000000, 1.0000000000000000,
|
3039 |
|
|
8.0000000000000000 },
|
3040 |
|
|
{ 8422142.8572236635, 5.0000000000000000, 1.0000000000000000,
|
3041 |
|
|
9.0000000000000000 },
|
3042 |
|
|
{ 31373029.447069697, 5.0000000000000000, 1.0000000000000000,
|
3043 |
|
|
10.000000000000000 },
|
3044 |
|
|
};
|
3045 |
|
|
|
3046 |
|
|
// Test function for a=5.0000000000000000, c=1.0000000000000000.
|
3047 |
|
|
template <typename Tp>
|
3048 |
|
|
void test041()
|
3049 |
|
|
{
|
3050 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3051 |
|
|
Tp max_abs_diff = -Tp(1);
|
3052 |
|
|
Tp max_abs_frac = -Tp(1);
|
3053 |
|
|
unsigned int num_datum = sizeof(data041)
|
3054 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3055 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3056 |
|
|
{
|
3057 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data041[i].a), Tp(data041[i].c),
|
3058 |
|
|
Tp(data041[i].x));
|
3059 |
|
|
const Tp f0 = data041[i].f0;
|
3060 |
|
|
const Tp diff = f - f0;
|
3061 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3062 |
|
|
max_abs_diff = std::abs(diff);
|
3063 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3064 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3065 |
|
|
{
|
3066 |
|
|
const Tp frac = diff / f0;
|
3067 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3068 |
|
|
max_abs_frac = std::abs(frac);
|
3069 |
|
|
}
|
3070 |
|
|
}
|
3071 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000034e-10));
|
3072 |
|
|
}
|
3073 |
|
|
|
3074 |
|
|
// Test data for a=5.0000000000000000, c=2.0000000000000000.
|
3075 |
|
|
testcase_conf_hyperg<double> data042[] = {
|
3076 |
|
|
{ -0.00025726626865408083, 5.0000000000000000, 2.0000000000000000,
|
3077 |
|
|
-10.000000000000000 },
|
3078 |
|
|
{ -0.00029309828470586396, 5.0000000000000000, 2.0000000000000000,
|
3079 |
|
|
-9.0000000000000000 },
|
3080 |
|
|
{ -0.00011182087596750395, 5.0000000000000000, 2.0000000000000000,
|
3081 |
|
|
-8.0000000000000000 },
|
3082 |
|
|
{ 0.00064591639226778245, 5.0000000000000000, 2.0000000000000000,
|
3083 |
|
|
-7.0000000000000000 },
|
3084 |
|
|
{ 0.0024787521766663585, 5.0000000000000000, 2.0000000000000000,
|
3085 |
|
|
-6.0000000000000000 },
|
3086 |
|
|
{ 0.0053342080409426616, 5.0000000000000000, 2.0000000000000000,
|
3087 |
|
|
-5.0000000000000000 },
|
3088 |
|
|
{ 0.0061052129629022966, 5.0000000000000000, 2.0000000000000000,
|
3089 |
|
|
-4.0000000000000000 },
|
3090 |
|
|
{ -0.0062233835459823200, 5.0000000000000000, 2.0000000000000000,
|
3091 |
|
|
-3.0000000000000000 },
|
3092 |
|
|
{ -0.045111761078871798, 5.0000000000000000, 2.0000000000000000,
|
3093 |
|
|
-2.0000000000000000 },
|
3094 |
|
|
{ -0.015328310048810216, 5.0000000000000000, 2.0000000000000000,
|
3095 |
|
|
-1.0000000000000000 },
|
3096 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 2.0000000000000000,
|
3097 |
|
|
0.0000000000000000 },
|
3098 |
|
|
{ 8.2681072282295975, 5.0000000000000000, 2.0000000000000000,
|
3099 |
|
|
1.0000000000000000 },
|
3100 |
|
|
{ 46.797355293227440, 5.0000000000000000, 2.0000000000000000,
|
3101 |
|
|
2.0000000000000000 },
|
3102 |
|
|
{ 223.45159827046285, 5.0000000000000000, 2.0000000000000000,
|
3103 |
|
|
3.0000000000000000 },
|
3104 |
|
|
{ 964.56731725221459, 5.0000000000000000, 2.0000000000000000,
|
3105 |
|
|
4.0000000000000000 },
|
3106 |
|
|
{ 3889.6615448133625, 5.0000000000000000, 2.0000000000000000,
|
3107 |
|
|
5.0000000000000000 },
|
3108 |
|
|
{ 14926.865359231202, 5.0000000000000000, 2.0000000000000000,
|
3109 |
|
|
6.0000000000000000 },
|
3110 |
|
|
{ 55151.509259297891, 5.0000000000000000, 2.0000000000000000,
|
3111 |
|
|
7.0000000000000000 },
|
3112 |
|
|
{ 197736.87980710136, 5.0000000000000000, 2.0000000000000000,
|
3113 |
|
|
8.0000000000000000 },
|
3114 |
|
|
{ 691800.79031674843, 5.0000000000000000, 2.0000000000000000,
|
3115 |
|
|
9.0000000000000000 },
|
3116 |
|
|
{ 2371516.1505741901, 5.0000000000000000, 2.0000000000000000,
|
3117 |
|
|
10.000000000000000 },
|
3118 |
|
|
};
|
3119 |
|
|
|
3120 |
|
|
// Test function for a=5.0000000000000000, c=2.0000000000000000.
|
3121 |
|
|
template <typename Tp>
|
3122 |
|
|
void test042()
|
3123 |
|
|
{
|
3124 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3125 |
|
|
Tp max_abs_diff = -Tp(1);
|
3126 |
|
|
Tp max_abs_frac = -Tp(1);
|
3127 |
|
|
unsigned int num_datum = sizeof(data042)
|
3128 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3129 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3130 |
|
|
{
|
3131 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data042[i].a), Tp(data042[i].c),
|
3132 |
|
|
Tp(data042[i].x));
|
3133 |
|
|
const Tp f0 = data042[i].f0;
|
3134 |
|
|
const Tp diff = f - f0;
|
3135 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3136 |
|
|
max_abs_diff = std::abs(diff);
|
3137 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3138 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3139 |
|
|
{
|
3140 |
|
|
const Tp frac = diff / f0;
|
3141 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3142 |
|
|
max_abs_frac = std::abs(frac);
|
3143 |
|
|
}
|
3144 |
|
|
}
|
3145 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000006e-10));
|
3146 |
|
|
}
|
3147 |
|
|
|
3148 |
|
|
// Test data for a=5.0000000000000000, c=3.0000000000000000.
|
3149 |
|
|
testcase_conf_hyperg<double> data043[] = {
|
3150 |
|
|
{ 0.00012106647936662629, 5.0000000000000000, 3.0000000000000000,
|
3151 |
|
|
-10.000000000000000 },
|
3152 |
|
|
{ 0.00021596715715168925, 5.0000000000000000, 3.0000000000000000,
|
3153 |
|
|
-9.0000000000000000 },
|
3154 |
|
|
{ 0.00033546262790251185, 5.0000000000000000, 3.0000000000000000,
|
3155 |
|
|
-8.0000000000000000 },
|
3156 |
|
|
{ 0.00037995081898104839, 5.0000000000000000, 3.0000000000000000,
|
3157 |
|
|
-7.0000000000000000 },
|
3158 |
|
|
{ 0.0000000000000000, 5.0000000000000000, 3.0000000000000000,
|
3159 |
|
|
-6.0000000000000000 },
|
3160 |
|
|
{ -0.0016844867497713672, 5.0000000000000000, 3.0000000000000000,
|
3161 |
|
|
-5.0000000000000000 },
|
3162 |
|
|
{ -0.0061052129629113917, 5.0000000000000000, 3.0000000000000000,
|
3163 |
|
|
-4.0000000000000000 },
|
3164 |
|
|
{ -0.012446767091965986, 5.0000000000000000, 3.0000000000000000,
|
3165 |
|
|
-3.0000000000000000 },
|
3166 |
|
|
{ 7.5126173746727200e-18, 5.0000000000000000, 3.0000000000000000,
|
3167 |
|
|
-2.0000000000000000 },
|
3168 |
|
|
{ 0.15328310048810098, 5.0000000000000000, 3.0000000000000000,
|
3169 |
|
|
-1.0000000000000000 },
|
3170 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 3.0000000000000000,
|
3171 |
|
|
0.0000000000000000 },
|
3172 |
|
|
{ 4.7569931998033290, 5.0000000000000000, 3.0000000000000000,
|
3173 |
|
|
1.0000000000000000 },
|
3174 |
|
|
{ 19.704149597148401, 5.0000000000000000, 3.0000000000000000,
|
3175 |
|
|
2.0000000000000000 },
|
3176 |
|
|
{ 75.320763461953760, 5.0000000000000000, 3.0000000000000000,
|
3177 |
|
|
3.0000000000000000 },
|
3178 |
|
|
{ 272.99075016572118, 5.0000000000000000, 3.0000000000000000,
|
3179 |
|
|
4.0000000000000000 },
|
3180 |
|
|
{ 952.31777090819992, 5.0000000000000000, 3.0000000000000000,
|
3181 |
|
|
5.0000000000000000 },
|
3182 |
|
|
{ 3227.4303479418809, 5.0000000000000000, 3.0000000000000000,
|
3183 |
|
|
6.0000000000000000 },
|
3184 |
|
|
{ 10692.173294677470, 5.0000000000000000, 3.0000000000000000,
|
3185 |
|
|
7.0000000000000000 },
|
3186 |
|
|
{ 34777.843182153498, 5.0000000000000000, 3.0000000000000000,
|
3187 |
|
|
8.0000000000000000 },
|
3188 |
|
|
{ 111417.40400416154, 5.0000000000000000, 3.0000000000000000,
|
3189 |
|
|
9.0000000000000000 },
|
3190 |
|
|
{ 352423.45271690749, 5.0000000000000000, 3.0000000000000000,
|
3191 |
|
|
10.000000000000000 },
|
3192 |
|
|
};
|
3193 |
|
|
|
3194 |
|
|
// Test function for a=5.0000000000000000, c=3.0000000000000000.
|
3195 |
|
|
template <typename Tp>
|
3196 |
|
|
void test043()
|
3197 |
|
|
{
|
3198 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3199 |
|
|
Tp max_abs_diff = -Tp(1);
|
3200 |
|
|
Tp max_abs_frac = -Tp(1);
|
3201 |
|
|
unsigned int num_datum = sizeof(data043)
|
3202 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3203 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3204 |
|
|
{
|
3205 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data043[i].a), Tp(data043[i].c),
|
3206 |
|
|
Tp(data043[i].x));
|
3207 |
|
|
const Tp f0 = data043[i].f0;
|
3208 |
|
|
const Tp diff = f - f0;
|
3209 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3210 |
|
|
max_abs_diff = std::abs(diff);
|
3211 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3212 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3213 |
|
|
{
|
3214 |
|
|
const Tp frac = diff / f0;
|
3215 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3216 |
|
|
max_abs_frac = std::abs(frac);
|
3217 |
|
|
}
|
3218 |
|
|
}
|
3219 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000028e-11));
|
3220 |
|
|
}
|
3221 |
|
|
|
3222 |
|
|
// Test data for a=5.0000000000000000, c=4.0000000000000000.
|
3223 |
|
|
testcase_conf_hyperg<double> data044[] = {
|
3224 |
|
|
{ -6.8099894643727278e-05, 5.0000000000000000, 4.0000000000000000,
|
3225 |
|
|
-10.000000000000000 },
|
3226 |
|
|
{ -0.00015426225510834944, 5.0000000000000000, 4.0000000000000000,
|
3227 |
|
|
-9.0000000000000000 },
|
3228 |
|
|
{ -0.00033546262790251185, 5.0000000000000000, 4.0000000000000000,
|
3229 |
|
|
-8.0000000000000000 },
|
3230 |
|
|
{ -0.00068391147416588716, 5.0000000000000000, 4.0000000000000000,
|
3231 |
|
|
-7.0000000000000000 },
|
3232 |
|
|
{ -0.0012393760883331792, 5.0000000000000000, 4.0000000000000000,
|
3233 |
|
|
-6.0000000000000000 },
|
3234 |
|
|
{ -0.0016844867497713668, 5.0000000000000000, 4.0000000000000000,
|
3235 |
|
|
-5.0000000000000000 },
|
3236 |
|
|
{ 0.0000000000000000, 5.0000000000000000, 4.0000000000000000,
|
3237 |
|
|
-4.0000000000000000 },
|
3238 |
|
|
{ 0.012446767091965986, 5.0000000000000000, 4.0000000000000000,
|
3239 |
|
|
-3.0000000000000000 },
|
3240 |
|
|
{ 0.067667641618306351, 5.0000000000000000, 4.0000000000000000,
|
3241 |
|
|
-2.0000000000000000 },
|
3242 |
|
|
{ 0.27590958087858175, 5.0000000000000000, 4.0000000000000000,
|
3243 |
|
|
-1.0000000000000000 },
|
3244 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 4.0000000000000000,
|
3245 |
|
|
0.0000000000000000 },
|
3246 |
|
|
{ 3.3978522855738063, 5.0000000000000000, 4.0000000000000000,
|
3247 |
|
|
1.0000000000000000 },
|
3248 |
|
|
{ 11.083584148395975, 5.0000000000000000, 4.0000000000000000,
|
3249 |
|
|
2.0000000000000000 },
|
3250 |
|
|
{ 35.149689615578417, 5.0000000000000000, 4.0000000000000000,
|
3251 |
|
|
3.0000000000000000 },
|
3252 |
|
|
{ 109.19630006628847, 5.0000000000000000, 4.0000000000000000,
|
3253 |
|
|
4.0000000000000000 },
|
3254 |
|
|
{ 333.92960798079736, 5.0000000000000000, 4.0000000000000000,
|
3255 |
|
|
5.0000000000000000 },
|
3256 |
|
|
{ 1008.5719837318378, 5.0000000000000000, 4.0000000000000000,
|
3257 |
|
|
6.0000000000000000 },
|
3258 |
|
|
{ 3015.7411856782610, 5.0000000000000000, 4.0000000000000000,
|
3259 |
|
|
7.0000000000000000 },
|
3260 |
|
|
{ 8942.8739611251840, 5.0000000000000000, 4.0000000000000000,
|
3261 |
|
|
8.0000000000000000 },
|
3262 |
|
|
{ 26335.022764620000, 5.0000000000000000, 4.0000000000000000,
|
3263 |
|
|
9.0000000000000000 },
|
3264 |
|
|
{ 77092.630281823513, 5.0000000000000000, 4.0000000000000000,
|
3265 |
|
|
10.000000000000000 },
|
3266 |
|
|
};
|
3267 |
|
|
|
3268 |
|
|
// Test function for a=5.0000000000000000, c=4.0000000000000000.
|
3269 |
|
|
template <typename Tp>
|
3270 |
|
|
void test044()
|
3271 |
|
|
{
|
3272 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3273 |
|
|
Tp max_abs_diff = -Tp(1);
|
3274 |
|
|
Tp max_abs_frac = -Tp(1);
|
3275 |
|
|
unsigned int num_datum = sizeof(data044)
|
3276 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3277 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3278 |
|
|
{
|
3279 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data044[i].a), Tp(data044[i].c),
|
3280 |
|
|
Tp(data044[i].x));
|
3281 |
|
|
const Tp f0 = data044[i].f0;
|
3282 |
|
|
const Tp diff = f - f0;
|
3283 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3284 |
|
|
max_abs_diff = std::abs(diff);
|
3285 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3286 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3287 |
|
|
{
|
3288 |
|
|
const Tp frac = diff / f0;
|
3289 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3290 |
|
|
max_abs_frac = std::abs(frac);
|
3291 |
|
|
}
|
3292 |
|
|
}
|
3293 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000014e-11));
|
3294 |
|
|
}
|
3295 |
|
|
|
3296 |
|
|
// Test data for a=5.0000000000000000, c=5.0000000000000000.
|
3297 |
|
|
testcase_conf_hyperg<double> data045[] = {
|
3298 |
|
|
{ 4.5399929762484854e-05, 5.0000000000000000, 5.0000000000000000,
|
3299 |
|
|
-10.000000000000000 },
|
3300 |
|
|
{ 0.00012340980408667956, 5.0000000000000000, 5.0000000000000000,
|
3301 |
|
|
-9.0000000000000000 },
|
3302 |
|
|
{ 0.00033546262790251185, 5.0000000000000000, 5.0000000000000000,
|
3303 |
|
|
-8.0000000000000000 },
|
3304 |
|
|
{ 0.00091188196555451624, 5.0000000000000000, 5.0000000000000000,
|
3305 |
|
|
-7.0000000000000000 },
|
3306 |
|
|
{ 0.0024787521766663585, 5.0000000000000000, 5.0000000000000000,
|
3307 |
|
|
-6.0000000000000000 },
|
3308 |
|
|
{ 0.0067379469990854670, 5.0000000000000000, 5.0000000000000000,
|
3309 |
|
|
-5.0000000000000000 },
|
3310 |
|
|
{ 0.018315638888734179, 5.0000000000000000, 5.0000000000000000,
|
3311 |
|
|
-4.0000000000000000 },
|
3312 |
|
|
{ 0.049787068367863944, 5.0000000000000000, 5.0000000000000000,
|
3313 |
|
|
-3.0000000000000000 },
|
3314 |
|
|
{ 0.13533528323661270, 5.0000000000000000, 5.0000000000000000,
|
3315 |
|
|
-2.0000000000000000 },
|
3316 |
|
|
{ 0.36787944117144233, 5.0000000000000000, 5.0000000000000000,
|
3317 |
|
|
-1.0000000000000000 },
|
3318 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 5.0000000000000000,
|
3319 |
|
|
0.0000000000000000 },
|
3320 |
|
|
{ 2.7182818284590451, 5.0000000000000000, 5.0000000000000000,
|
3321 |
|
|
1.0000000000000000 },
|
3322 |
|
|
{ 7.3890560989306504, 5.0000000000000000, 5.0000000000000000,
|
3323 |
|
|
2.0000000000000000 },
|
3324 |
|
|
{ 20.085536923187668, 5.0000000000000000, 5.0000000000000000,
|
3325 |
|
|
3.0000000000000000 },
|
3326 |
|
|
{ 54.598150033144236, 5.0000000000000000, 5.0000000000000000,
|
3327 |
|
|
4.0000000000000000 },
|
3328 |
|
|
{ 148.41315910257660, 5.0000000000000000, 5.0000000000000000,
|
3329 |
|
|
5.0000000000000000 },
|
3330 |
|
|
{ 403.42879349273511, 5.0000000000000000, 5.0000000000000000,
|
3331 |
|
|
6.0000000000000000 },
|
3332 |
|
|
{ 1096.6331584284585, 5.0000000000000000, 5.0000000000000000,
|
3333 |
|
|
7.0000000000000000 },
|
3334 |
|
|
{ 2980.9579870417283, 5.0000000000000000, 5.0000000000000000,
|
3335 |
|
|
8.0000000000000000 },
|
3336 |
|
|
{ 8103.0839275753842, 5.0000000000000000, 5.0000000000000000,
|
3337 |
|
|
9.0000000000000000 },
|
3338 |
|
|
{ 22026.465794806718, 5.0000000000000000, 5.0000000000000000,
|
3339 |
|
|
10.000000000000000 },
|
3340 |
|
|
};
|
3341 |
|
|
|
3342 |
|
|
// Test function for a=5.0000000000000000, c=5.0000000000000000.
|
3343 |
|
|
template <typename Tp>
|
3344 |
|
|
void test045()
|
3345 |
|
|
{
|
3346 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3347 |
|
|
Tp max_abs_diff = -Tp(1);
|
3348 |
|
|
Tp max_abs_frac = -Tp(1);
|
3349 |
|
|
unsigned int num_datum = sizeof(data045)
|
3350 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3351 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3352 |
|
|
{
|
3353 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data045[i].a), Tp(data045[i].c),
|
3354 |
|
|
Tp(data045[i].x));
|
3355 |
|
|
const Tp f0 = data045[i].f0;
|
3356 |
|
|
const Tp diff = f - f0;
|
3357 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3358 |
|
|
max_abs_diff = std::abs(diff);
|
3359 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3360 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3361 |
|
|
{
|
3362 |
|
|
const Tp frac = diff / f0;
|
3363 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3364 |
|
|
max_abs_frac = std::abs(frac);
|
3365 |
|
|
}
|
3366 |
|
|
}
|
3367 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
3368 |
|
|
}
|
3369 |
|
|
|
3370 |
|
|
// Test data for a=5.0000000000000000, c=6.0000000000000000.
|
3371 |
|
|
testcase_conf_hyperg<double> data046[] = {
|
3372 |
|
|
{ 0.0011648967743076431, 5.0000000000000000, 6.0000000000000000,
|
3373 |
|
|
-10.000000000000000 },
|
3374 |
|
|
{ 0.0019205128456127479, 5.0000000000000000, 6.0000000000000000,
|
3375 |
|
|
-9.0000000000000000 },
|
3376 |
|
|
{ 0.0032972446271226320, 5.0000000000000000, 6.0000000000000000,
|
3377 |
|
|
-8.0000000000000000 },
|
3378 |
|
|
{ 0.0059047424914709006, 5.0000000000000000, 6.0000000000000000,
|
3379 |
|
|
-7.0000000000000000 },
|
3380 |
|
|
{ 0.011033078698817415, 5.0000000000000000, 6.0000000000000000,
|
3381 |
|
|
-6.0000000000000000 },
|
3382 |
|
|
{ 0.021485057853495842, 5.0000000000000000, 6.0000000000000000,
|
3383 |
|
|
-5.0000000000000000 },
|
3384 |
|
|
{ 0.043495671658608563, 5.0000000000000000, 6.0000000000000000,
|
3385 |
|
|
-4.0000000000000000 },
|
3386 |
|
|
{ 0.091228027395668113, 5.0000000000000000, 6.0000000000000000,
|
3387 |
|
|
-3.0000000000000000 },
|
3388 |
|
|
{ 0.19744881503891684, 5.0000000000000000, 6.0000000000000000,
|
3389 |
|
|
-2.0000000000000000 },
|
3390 |
|
|
{ 0.43918161928124549, 5.0000000000000000, 6.0000000000000000,
|
3391 |
|
|
-1.0000000000000000 },
|
3392 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 6.0000000000000000,
|
3393 |
|
|
0.0000000000000000 },
|
3394 |
|
|
{ 2.3226822806570353, 5.0000000000000000, 6.0000000000000000,
|
3395 |
|
|
1.0000000000000000 },
|
3396 |
|
|
{ 5.4863201236633126, 5.0000000000000000, 6.0000000000000000,
|
3397 |
|
|
2.0000000000000000 },
|
3398 |
|
|
{ 13.144500379942246, 5.0000000000000000, 6.0000000000000000,
|
3399 |
|
|
3.0000000000000000 },
|
3400 |
|
|
{ 31.873916035045447, 5.0000000000000000, 6.0000000000000000,
|
3401 |
|
|
4.0000000000000000 },
|
3402 |
|
|
{ 78.086286951596321, 5.0000000000000000, 6.0000000000000000,
|
3403 |
|
|
5.0000000000000000 },
|
3404 |
|
|
{ 192.98291046720354, 5.0000000000000000, 6.0000000000000000,
|
3405 |
|
|
6.0000000000000000 },
|
3406 |
|
|
{ 480.54877204888402, 5.0000000000000000, 6.0000000000000000,
|
3407 |
|
|
7.0000000000000000 },
|
3408 |
|
|
{ 1204.4605636118313, 5.0000000000000000, 6.0000000000000000,
|
3409 |
|
|
8.0000000000000000 },
|
3410 |
|
|
{ 3036.1329048350581, 5.0000000000000000, 6.0000000000000000,
|
3411 |
|
|
9.0000000000000000 },
|
3412 |
|
|
{ 7691.6406555465064, 5.0000000000000000, 6.0000000000000000,
|
3413 |
|
|
10.000000000000000 },
|
3414 |
|
|
};
|
3415 |
|
|
|
3416 |
|
|
// Test function for a=5.0000000000000000, c=6.0000000000000000.
|
3417 |
|
|
template <typename Tp>
|
3418 |
|
|
void test046()
|
3419 |
|
|
{
|
3420 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3421 |
|
|
Tp max_abs_diff = -Tp(1);
|
3422 |
|
|
Tp max_abs_frac = -Tp(1);
|
3423 |
|
|
unsigned int num_datum = sizeof(data046)
|
3424 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3425 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3426 |
|
|
{
|
3427 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data046[i].a), Tp(data046[i].c),
|
3428 |
|
|
Tp(data046[i].x));
|
3429 |
|
|
const Tp f0 = data046[i].f0;
|
3430 |
|
|
const Tp diff = f - f0;
|
3431 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3432 |
|
|
max_abs_diff = std::abs(diff);
|
3433 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3434 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3435 |
|
|
{
|
3436 |
|
|
const Tp frac = diff / f0;
|
3437 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3438 |
|
|
max_abs_frac = std::abs(frac);
|
3439 |
|
|
}
|
3440 |
|
|
}
|
3441 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000006e-11));
|
3442 |
|
|
}
|
3443 |
|
|
|
3444 |
|
|
// Test data for a=5.0000000000000000, c=7.0000000000000000.
|
3445 |
|
|
testcase_conf_hyperg<double> data047[] = {
|
3446 |
|
|
{ 0.0036308901122103932, 5.0000000000000000, 7.0000000000000000,
|
3447 |
|
|
-10.000000000000000 },
|
3448 |
|
|
{ 0.0055327336019229401, 5.0000000000000000, 7.0000000000000000,
|
3449 |
|
|
-9.0000000000000000 },
|
3450 |
|
|
{ 0.0086767852656603455, 5.0000000000000000, 7.0000000000000000,
|
3451 |
|
|
-8.0000000000000000 },
|
3452 |
|
|
{ 0.014030481266326614, 5.0000000000000000, 7.0000000000000000,
|
3453 |
|
|
-7.0000000000000000 },
|
3454 |
|
|
{ 0.023426839582149212, 5.0000000000000000, 7.0000000000000000,
|
3455 |
|
|
-6.0000000000000000 },
|
3456 |
|
|
{ 0.040427681994512799, 5.0000000000000000, 7.0000000000000000,
|
3457 |
|
|
-5.0000000000000000 },
|
3458 |
|
|
{ 0.072123784177593755, 5.0000000000000000, 7.0000000000000000,
|
3459 |
|
|
-4.0000000000000000 },
|
3460 |
|
|
{ 0.13295857409596740, 5.0000000000000000, 7.0000000000000000,
|
3461 |
|
|
-3.0000000000000000 },
|
3462 |
|
|
{ 0.25298991319893882, 5.0000000000000000, 7.0000000000000000,
|
3463 |
|
|
-2.0000000000000000 },
|
3464 |
|
|
{ 0.49602437239337821, 5.0000000000000000, 7.0000000000000000,
|
3465 |
|
|
-1.0000000000000000 },
|
3466 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 7.0000000000000000,
|
3467 |
|
|
0.0000000000000000 },
|
3468 |
|
|
{ 2.0681072498819240, 5.0000000000000000, 7.0000000000000000,
|
3469 |
|
|
1.0000000000000000 },
|
3470 |
|
|
{ 4.3768811129698140, 5.0000000000000000, 7.0000000000000000,
|
3471 |
|
|
2.0000000000000000 },
|
3472 |
|
|
{ 9.4566368471992224, 5.0000000000000000, 7.0000000000000000,
|
3473 |
|
|
3.0000000000000000 },
|
3474 |
|
|
{ 20.811741224531826, 5.0000000000000000, 7.0000000000000000,
|
3475 |
|
|
4.0000000000000000 },
|
3476 |
|
|
{ 46.556488803696276, 5.0000000000000000, 7.0000000000000000,
|
3477 |
|
|
5.0000000000000000 },
|
3478 |
|
|
{ 105.66804767556316, 5.0000000000000000, 7.0000000000000000,
|
3479 |
|
|
6.0000000000000000 },
|
3480 |
|
|
{ 242.93097638084427, 5.0000000000000000, 7.0000000000000000,
|
3481 |
|
|
7.0000000000000000 },
|
3482 |
|
|
{ 564.89804380887358, 5.0000000000000000, 7.0000000000000000,
|
3483 |
|
|
8.0000000000000000 },
|
3484 |
|
|
{ 1326.9606865425994, 5.0000000000000000, 7.0000000000000000,
|
3485 |
|
|
9.0000000000000000 },
|
3486 |
|
|
{ 3145.3685154983909, 5.0000000000000000, 7.0000000000000000,
|
3487 |
|
|
10.000000000000000 },
|
3488 |
|
|
};
|
3489 |
|
|
|
3490 |
|
|
// Test function for a=5.0000000000000000, c=7.0000000000000000.
|
3491 |
|
|
template <typename Tp>
|
3492 |
|
|
void test047()
|
3493 |
|
|
{
|
3494 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3495 |
|
|
Tp max_abs_diff = -Tp(1);
|
3496 |
|
|
Tp max_abs_frac = -Tp(1);
|
3497 |
|
|
unsigned int num_datum = sizeof(data047)
|
3498 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3499 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3500 |
|
|
{
|
3501 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data047[i].a), Tp(data047[i].c),
|
3502 |
|
|
Tp(data047[i].x));
|
3503 |
|
|
const Tp f0 = data047[i].f0;
|
3504 |
|
|
const Tp diff = f - f0;
|
3505 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3506 |
|
|
max_abs_diff = std::abs(diff);
|
3507 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3508 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3509 |
|
|
{
|
3510 |
|
|
const Tp frac = diff / f0;
|
3511 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3512 |
|
|
max_abs_frac = std::abs(frac);
|
3513 |
|
|
}
|
3514 |
|
|
}
|
3515 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000029e-12));
|
3516 |
|
|
}
|
3517 |
|
|
|
3518 |
|
|
// Test data for a=5.0000000000000000, c=8.0000000000000000.
|
3519 |
|
|
testcase_conf_hyperg<double> data048[] = {
|
3520 |
|
|
{ 0.0075295293831406122, 5.0000000000000000, 8.0000000000000000,
|
3521 |
|
|
-10.000000000000000 },
|
3522 |
|
|
{ 0.010936052508673187, 5.0000000000000000, 8.0000000000000000,
|
3523 |
|
|
-9.0000000000000000 },
|
3524 |
|
|
{ 0.016247454253649721, 5.0000000000000000, 8.0000000000000000,
|
3525 |
|
|
-8.0000000000000000 },
|
3526 |
|
|
{ 0.024729468107576008, 5.0000000000000000, 8.0000000000000000,
|
3527 |
|
|
-7.0000000000000000 },
|
3528 |
|
|
{ 0.038615775445860964, 5.0000000000000000, 8.0000000000000000,
|
3529 |
|
|
-6.0000000000000000 },
|
3530 |
|
|
{ 0.061937865588523586, 5.0000000000000000, 8.0000000000000000,
|
3531 |
|
|
-5.0000000000000000 },
|
3532 |
|
|
{ 0.10213565389690644, 5.0000000000000000, 8.0000000000000000,
|
3533 |
|
|
-4.0000000000000000 },
|
3534 |
|
|
{ 0.17324118243379236, 5.0000000000000000, 8.0000000000000000,
|
3535 |
|
|
-3.0000000000000000 },
|
3536 |
|
|
{ 0.30228316551605494, 5.0000000000000000, 8.0000000000000000,
|
3537 |
|
|
-2.0000000000000000 },
|
3538 |
|
|
{ 0.54238748802203829, 5.0000000000000000, 8.0000000000000000,
|
3539 |
|
|
-1.0000000000000000 },
|
3540 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 8.0000000000000000,
|
3541 |
|
|
0.0000000000000000 },
|
3542 |
|
|
{ 1.8922997283093959, 5.0000000000000000, 8.0000000000000000,
|
3543 |
|
|
1.0000000000000000 },
|
3544 |
|
|
{ 3.6699742831126270, 5.0000000000000000, 8.0000000000000000,
|
3545 |
|
|
2.0000000000000000 },
|
3546 |
|
|
{ 7.2831842359960941, 5.0000000000000000, 8.0000000000000000,
|
3547 |
|
|
3.0000000000000000 },
|
3548 |
|
|
{ 14.764676530664770, 5.0000000000000000, 8.0000000000000000,
|
3549 |
|
|
4.0000000000000000 },
|
3550 |
|
|
{ 30.522558591756702, 5.0000000000000000, 8.0000000000000000,
|
3551 |
|
|
5.0000000000000000 },
|
3552 |
|
|
{ 64.236147093730224, 5.0000000000000000, 8.0000000000000000,
|
3553 |
|
|
6.0000000000000000 },
|
3554 |
|
|
{ 137.40503032883328, 5.0000000000000000, 8.0000000000000000,
|
3555 |
|
|
7.0000000000000000 },
|
3556 |
|
|
{ 298.29153884828759, 5.0000000000000000, 8.0000000000000000,
|
3557 |
|
|
8.0000000000000000 },
|
3558 |
|
|
{ 656.29389355002741, 5.0000000000000000, 8.0000000000000000,
|
3559 |
|
|
9.0000000000000000 },
|
3560 |
|
|
{ 1461.6183101433730, 5.0000000000000000, 8.0000000000000000,
|
3561 |
|
|
10.000000000000000 },
|
3562 |
|
|
};
|
3563 |
|
|
|
3564 |
|
|
// Test function for a=5.0000000000000000, c=8.0000000000000000.
|
3565 |
|
|
template <typename Tp>
|
3566 |
|
|
void test048()
|
3567 |
|
|
{
|
3568 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3569 |
|
|
Tp max_abs_diff = -Tp(1);
|
3570 |
|
|
Tp max_abs_frac = -Tp(1);
|
3571 |
|
|
unsigned int num_datum = sizeof(data048)
|
3572 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3573 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3574 |
|
|
{
|
3575 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data048[i].a), Tp(data048[i].c),
|
3576 |
|
|
Tp(data048[i].x));
|
3577 |
|
|
const Tp f0 = data048[i].f0;
|
3578 |
|
|
const Tp diff = f - f0;
|
3579 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3580 |
|
|
max_abs_diff = std::abs(diff);
|
3581 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3582 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3583 |
|
|
{
|
3584 |
|
|
const Tp frac = diff / f0;
|
3585 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3586 |
|
|
max_abs_frac = std::abs(frac);
|
3587 |
|
|
}
|
3588 |
|
|
}
|
3589 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
|
3590 |
|
|
}
|
3591 |
|
|
|
3592 |
|
|
// Test data for a=5.0000000000000000, c=9.0000000000000000.
|
3593 |
|
|
testcase_conf_hyperg<double> data049[] = {
|
3594 |
|
|
{ 0.012801285049305222, 5.0000000000000000, 9.0000000000000000,
|
3595 |
|
|
-10.000000000000000 },
|
3596 |
|
|
{ 0.017955923031350202, 5.0000000000000000, 9.0000000000000000,
|
3597 |
|
|
-9.0000000000000000 },
|
3598 |
|
|
{ 0.025661650371090718, 5.0000000000000000, 9.0000000000000000,
|
3599 |
|
|
-8.0000000000000000 },
|
3600 |
|
|
{ 0.037414616710204310, 5.0000000000000000, 9.0000000000000000,
|
3601 |
|
|
-7.0000000000000000 },
|
3602 |
|
|
{ 0.055720934057414885, 5.0000000000000000, 9.0000000000000000,
|
3603 |
|
|
-6.0000000000000000 },
|
3604 |
|
|
{ 0.084862956151755986, 5.0000000000000000, 9.0000000000000000,
|
3605 |
|
|
-5.0000000000000000 },
|
3606 |
|
|
{ 0.13230635170162319, 5.0000000000000000, 9.0000000000000000,
|
3607 |
|
|
-4.0000000000000000 },
|
3608 |
|
|
{ 0.21132914572142125, 5.0000000000000000, 9.0000000000000000,
|
3609 |
|
|
-3.0000000000000000 },
|
3610 |
|
|
{ 0.34601808641639625, 5.0000000000000000, 9.0000000000000000,
|
3611 |
|
|
-2.0000000000000000 },
|
3612 |
|
|
{ 0.58092180965710882, 5.0000000000000000, 9.0000000000000000,
|
3613 |
|
|
-1.0000000000000000 },
|
3614 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 9.0000000000000000,
|
3615 |
|
|
0.0000000000000000 },
|
3616 |
|
|
{ 1.7643922061378634, 5.0000000000000000, 9.0000000000000000,
|
3617 |
|
|
1.0000000000000000 },
|
3618 |
|
|
{ 3.1888010096332451, 5.0000000000000000, 9.0000000000000000,
|
3619 |
|
|
2.0000000000000000 },
|
3620 |
|
|
{ 5.8981194929479273, 5.0000000000000000, 9.0000000000000000,
|
3621 |
|
|
3.0000000000000000 },
|
3622 |
|
|
{ 11.152835510393174, 5.0000000000000000, 9.0000000000000000,
|
3623 |
|
|
4.0000000000000000 },
|
3624 |
|
|
{ 21.533483453443495, 5.0000000000000000, 9.0000000000000000,
|
3625 |
|
|
5.0000000000000000 },
|
3626 |
|
|
{ 42.397145995355721, 5.0000000000000000, 9.0000000000000000,
|
3627 |
|
|
6.0000000000000000 },
|
3628 |
|
|
{ 85.010891404859976, 5.0000000000000000, 9.0000000000000000,
|
3629 |
|
|
7.0000000000000000 },
|
3630 |
|
|
{ 173.36225868739959, 5.0000000000000000, 9.0000000000000000,
|
3631 |
|
|
8.0000000000000000 },
|
3632 |
|
|
{ 359.10444177844266, 5.0000000000000000, 9.0000000000000000,
|
3633 |
|
|
9.0000000000000000 },
|
3634 |
|
|
{ 754.64844371961385, 5.0000000000000000, 9.0000000000000000,
|
3635 |
|
|
10.000000000000000 },
|
3636 |
|
|
};
|
3637 |
|
|
|
3638 |
|
|
// Test function for a=5.0000000000000000, c=9.0000000000000000.
|
3639 |
|
|
template <typename Tp>
|
3640 |
|
|
void test049()
|
3641 |
|
|
{
|
3642 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3643 |
|
|
Tp max_abs_diff = -Tp(1);
|
3644 |
|
|
Tp max_abs_frac = -Tp(1);
|
3645 |
|
|
unsigned int num_datum = sizeof(data049)
|
3646 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3647 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3648 |
|
|
{
|
3649 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data049[i].a), Tp(data049[i].c),
|
3650 |
|
|
Tp(data049[i].x));
|
3651 |
|
|
const Tp f0 = data049[i].f0;
|
3652 |
|
|
const Tp diff = f - f0;
|
3653 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3654 |
|
|
max_abs_diff = std::abs(diff);
|
3655 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3656 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3657 |
|
|
{
|
3658 |
|
|
const Tp frac = diff / f0;
|
3659 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3660 |
|
|
max_abs_frac = std::abs(frac);
|
3661 |
|
|
}
|
3662 |
|
|
}
|
3663 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
3664 |
|
|
}
|
3665 |
|
|
|
3666 |
|
|
// Test data for a=5.0000000000000000, c=10.000000000000000.
|
3667 |
|
|
testcase_conf_hyperg<double> data050[] = {
|
3668 |
|
|
{ 0.019313731161840469, 5.0000000000000000, 10.000000000000000,
|
3669 |
|
|
-10.000000000000000 },
|
3670 |
|
|
{ 0.026361085775183927, 5.0000000000000000, 10.000000000000000,
|
3671 |
|
|
-9.0000000000000000 },
|
3672 |
|
|
{ 0.036556772070711910, 5.0000000000000000, 10.000000000000000,
|
3673 |
|
|
-8.0000000000000000 },
|
3674 |
|
|
{ 0.051563934048344140, 5.0000000000000000, 10.000000000000000,
|
3675 |
|
|
-7.0000000000000000 },
|
3676 |
|
|
{ 0.074056625794521824, 5.0000000000000000, 10.000000000000000,
|
3677 |
|
|
-6.0000000000000000 },
|
3678 |
|
|
{ 0.10841132531381445, 5.0000000000000000, 10.000000000000000,
|
3679 |
|
|
-5.0000000000000000 },
|
3680 |
|
|
{ 0.16192115120742598, 5.0000000000000000, 10.000000000000000,
|
3681 |
|
|
-4.0000000000000000 },
|
3682 |
|
|
{ 0.24696279814742436, 5.0000000000000000, 10.000000000000000,
|
3683 |
|
|
-3.0000000000000000 },
|
3684 |
|
|
{ 0.38492640633381947, 5.0000000000000000, 10.000000000000000,
|
3685 |
|
|
-2.0000000000000000 },
|
3686 |
|
|
{ 0.61345628229723270, 5.0000000000000000, 10.000000000000000,
|
3687 |
|
|
-1.0000000000000000 },
|
3688 |
|
|
{ 1.0000000000000000, 5.0000000000000000, 10.000000000000000,
|
3689 |
|
|
0.0000000000000000 },
|
3690 |
|
|
{ 1.6675470647226096, 5.0000000000000000, 10.000000000000000,
|
3691 |
|
|
1.0000000000000000 },
|
3692 |
|
|
{ 2.8442428103603667, 5.0000000000000000, 10.000000000000000,
|
3693 |
|
|
2.0000000000000000 },
|
3694 |
|
|
{ 4.9603804008438397, 5.0000000000000000, 10.000000000000000,
|
3695 |
|
|
3.0000000000000000 },
|
3696 |
|
|
{ 8.8405953071624790, 5.0000000000000000, 10.000000000000000,
|
3697 |
|
|
4.0000000000000000 },
|
3698 |
|
|
{ 16.089667272320334, 5.0000000000000000, 10.000000000000000,
|
3699 |
|
|
5.0000000000000000 },
|
3700 |
|
|
{ 29.876575194426895, 5.0000000000000000, 10.000000000000000,
|
3701 |
|
|
6.0000000000000000 },
|
3702 |
|
|
{ 56.546719856432318, 5.0000000000000000, 10.000000000000000,
|
3703 |
|
|
7.0000000000000000 },
|
3704 |
|
|
{ 108.97420168465270, 5.0000000000000000, 10.000000000000000,
|
3705 |
|
|
8.0000000000000000 },
|
3706 |
|
|
{ 213.60609045832913, 5.0000000000000000, 10.000000000000000,
|
3707 |
|
|
9.0000000000000000 },
|
3708 |
|
|
{ 425.41323880637168, 5.0000000000000000, 10.000000000000000,
|
3709 |
|
|
10.000000000000000 },
|
3710 |
|
|
};
|
3711 |
|
|
|
3712 |
|
|
// Test function for a=5.0000000000000000, c=10.000000000000000.
|
3713 |
|
|
template <typename Tp>
|
3714 |
|
|
void test050()
|
3715 |
|
|
{
|
3716 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3717 |
|
|
Tp max_abs_diff = -Tp(1);
|
3718 |
|
|
Tp max_abs_frac = -Tp(1);
|
3719 |
|
|
unsigned int num_datum = sizeof(data050)
|
3720 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3721 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3722 |
|
|
{
|
3723 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data050[i].a), Tp(data050[i].c),
|
3724 |
|
|
Tp(data050[i].x));
|
3725 |
|
|
const Tp f0 = data050[i].f0;
|
3726 |
|
|
const Tp diff = f - f0;
|
3727 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3728 |
|
|
max_abs_diff = std::abs(diff);
|
3729 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3730 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3731 |
|
|
{
|
3732 |
|
|
const Tp frac = diff / f0;
|
3733 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3734 |
|
|
max_abs_frac = std::abs(frac);
|
3735 |
|
|
}
|
3736 |
|
|
}
|
3737 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
|
3738 |
|
|
}
|
3739 |
|
|
|
3740 |
|
|
// Test data for a=10.000000000000000, c=1.0000000000000000.
|
3741 |
|
|
testcase_conf_hyperg<double> data051[] = {
|
3742 |
|
|
{ 0.00067155063653961283, 10.000000000000000, 1.0000000000000000,
|
3743 |
|
|
-10.000000000000000 },
|
3744 |
|
|
{ -0.00071555648905258641, 10.000000000000000, 1.0000000000000000,
|
3745 |
|
|
-9.0000000000000000 },
|
3746 |
|
|
{ -0.0035372078786207375, 10.000000000000000, 1.0000000000000000,
|
3747 |
|
|
-8.0000000000000000 },
|
3748 |
|
|
{ -0.0047884005574714370, 10.000000000000000, 1.0000000000000000,
|
3749 |
|
|
-7.0000000000000000 },
|
3750 |
|
|
{ 0.0024787521766663585, 10.000000000000000, 1.0000000000000000,
|
3751 |
|
|
-6.0000000000000000 },
|
3752 |
|
|
{ 0.018136827242522878, 10.000000000000000, 1.0000000000000000,
|
3753 |
|
|
-5.0000000000000000 },
|
3754 |
|
|
{ 0.0099686175680129968, 10.000000000000000, 1.0000000000000000,
|
3755 |
|
|
-4.0000000000000000 },
|
3756 |
|
|
{ -0.052832081031434205, 10.000000000000000, 1.0000000000000000,
|
3757 |
|
|
-3.0000000000000000 },
|
3758 |
|
|
{ 0.0010979582061524211, 10.000000000000000, 1.0000000000000000,
|
3759 |
|
|
-2.0000000000000000 },
|
3760 |
|
|
{ 0.11394854824644544, 10.000000000000000, 1.0000000000000000,
|
3761 |
|
|
-1.0000000000000000 },
|
3762 |
|
|
{ 1.0000000000000000, 10.000000000000000, 1.0000000000000000,
|
3763 |
|
|
0.0000000000000000 },
|
3764 |
|
|
{ 131.63017574352625, 10.000000000000000, 1.0000000000000000,
|
3765 |
|
|
1.0000000000000000 },
|
3766 |
|
|
{ 2431.2913698755492, 10.000000000000000, 1.0000000000000000,
|
3767 |
|
|
2.0000000000000000 },
|
3768 |
|
|
{ 27127.328899791049, 10.000000000000000, 1.0000000000000000,
|
3769 |
|
|
3.0000000000000000 },
|
3770 |
|
|
{ 232066.49977835573, 10.000000000000000, 1.0000000000000000,
|
3771 |
|
|
4.0000000000000000 },
|
3772 |
|
|
{ 1674401.3794931532, 10.000000000000000, 1.0000000000000000,
|
3773 |
|
|
5.0000000000000000 },
|
3774 |
|
|
{ 10707495.820386337, 10.000000000000000, 1.0000000000000000,
|
3775 |
|
|
6.0000000000000000 },
|
3776 |
|
|
{ 62515499.242815509, 10.000000000000000, 1.0000000000000000,
|
3777 |
|
|
7.0000000000000000 },
|
3778 |
|
|
{ 339773485.00937450, 10.000000000000000, 1.0000000000000000,
|
3779 |
|
|
8.0000000000000000 },
|
3780 |
|
|
{ 1742442474.2135217, 10.000000000000000, 1.0000000000000000,
|
3781 |
|
|
9.0000000000000000 },
|
3782 |
|
|
{ 8514625476.5462780, 10.000000000000000, 1.0000000000000000,
|
3783 |
|
|
10.000000000000000 },
|
3784 |
|
|
};
|
3785 |
|
|
|
3786 |
|
|
// Test function for a=10.000000000000000, c=1.0000000000000000.
|
3787 |
|
|
template <typename Tp>
|
3788 |
|
|
void test051()
|
3789 |
|
|
{
|
3790 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3791 |
|
|
Tp max_abs_diff = -Tp(1);
|
3792 |
|
|
Tp max_abs_frac = -Tp(1);
|
3793 |
|
|
unsigned int num_datum = sizeof(data051)
|
3794 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3795 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3796 |
|
|
{
|
3797 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data051[i].a), Tp(data051[i].c),
|
3798 |
|
|
Tp(data051[i].x));
|
3799 |
|
|
const Tp f0 = data051[i].f0;
|
3800 |
|
|
const Tp diff = f - f0;
|
3801 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3802 |
|
|
max_abs_diff = std::abs(diff);
|
3803 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3804 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3805 |
|
|
{
|
3806 |
|
|
const Tp frac = diff / f0;
|
3807 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3808 |
|
|
max_abs_frac = std::abs(frac);
|
3809 |
|
|
}
|
3810 |
|
|
}
|
3811 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000029e-12));
|
3812 |
|
|
}
|
3813 |
|
|
|
3814 |
|
|
// Test data for a=10.000000000000000, c=2.0000000000000000.
|
3815 |
|
|
testcase_conf_hyperg<double> data052[] = {
|
3816 |
|
|
{ -0.00014116415550486912, 10.000000000000000, 2.0000000000000000,
|
3817 |
|
|
-10.000000000000000 },
|
3818 |
|
|
{ -0.00016988130843806985, 10.000000000000000, 2.0000000000000000,
|
3819 |
|
|
-9.0000000000000000 },
|
3820 |
|
|
{ 6.6619209703391391e-05, 10.000000000000000, 2.0000000000000000,
|
3821 |
|
|
-8.0000000000000000 },
|
3822 |
|
|
{ 0.00072582919646365740, 10.000000000000000, 2.0000000000000000,
|
3823 |
|
|
-7.0000000000000000 },
|
3824 |
|
|
{ 0.0012039653429522313, 10.000000000000000, 2.0000000000000000,
|
3825 |
|
|
-6.0000000000000000 },
|
3826 |
|
|
{ -0.00061450715370021350, 10.000000000000000, 2.0000000000000000,
|
3827 |
|
|
-5.0000000000000000 },
|
3828 |
|
|
{ -0.0053557899960354968, 10.000000000000000, 2.0000000000000000,
|
3829 |
|
|
-4.0000000000000000 },
|
3830 |
|
|
{ -0.00078903612815141419, 10.000000000000000, 2.0000000000000000,
|
3831 |
|
|
-3.0000000000000000 },
|
3832 |
|
|
{ 0.023725444715554326, 10.000000000000000, 2.0000000000000000,
|
3833 |
|
|
-2.0000000000000000 },
|
3834 |
|
|
{ -0.057297669024384767, 10.000000000000000, 2.0000000000000000,
|
3835 |
|
|
-1.0000000000000000 },
|
3836 |
|
|
{ 1.0000000000000000, 10.000000000000000, 2.0000000000000000,
|
3837 |
|
|
0.0000000000000000 },
|
3838 |
|
|
{ 34.432116659636534, 10.000000000000000, 2.0000000000000000,
|
3839 |
|
|
1.0000000000000000 },
|
3840 |
|
|
{ 432.53475371634494, 10.000000000000000, 2.0000000000000000,
|
3841 |
|
|
2.0000000000000000 },
|
3842 |
|
|
{ 3789.1768909683515, 10.000000000000000, 2.0000000000000000,
|
3843 |
|
|
3.0000000000000000 },
|
3844 |
|
|
{ 27089.676185774806, 10.000000000000000, 2.0000000000000000,
|
3845 |
|
|
4.0000000000000000 },
|
3846 |
|
|
{ 169243.72183073507, 10.000000000000000, 2.0000000000000000,
|
3847 |
|
|
5.0000000000000000 },
|
3848 |
|
|
{ 959019.40135397331, 10.000000000000000, 2.0000000000000000,
|
3849 |
|
|
6.0000000000000000 },
|
3850 |
|
|
{ 5043073.3458297960, 10.000000000000000, 2.0000000000000000,
|
3851 |
|
|
7.0000000000000000 },
|
3852 |
|
|
{ 24989309.819281481, 10.000000000000000, 2.0000000000000000,
|
3853 |
|
|
8.0000000000000000 },
|
3854 |
|
|
{ 117948708.50540228, 10.000000000000000, 2.0000000000000000,
|
3855 |
|
|
9.0000000000000000 },
|
3856 |
|
|
{ 534524325.69810420, 10.000000000000000, 2.0000000000000000,
|
3857 |
|
|
10.000000000000000 },
|
3858 |
|
|
};
|
3859 |
|
|
|
3860 |
|
|
// Test function for a=10.000000000000000, c=2.0000000000000000.
|
3861 |
|
|
template <typename Tp>
|
3862 |
|
|
void test052()
|
3863 |
|
|
{
|
3864 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3865 |
|
|
Tp max_abs_diff = -Tp(1);
|
3866 |
|
|
Tp max_abs_frac = -Tp(1);
|
3867 |
|
|
unsigned int num_datum = sizeof(data052)
|
3868 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3869 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3870 |
|
|
{
|
3871 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data052[i].a), Tp(data052[i].c),
|
3872 |
|
|
Tp(data052[i].x));
|
3873 |
|
|
const Tp f0 = data052[i].f0;
|
3874 |
|
|
const Tp diff = f - f0;
|
3875 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3876 |
|
|
max_abs_diff = std::abs(diff);
|
3877 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3878 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3879 |
|
|
{
|
3880 |
|
|
const Tp frac = diff / f0;
|
3881 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3882 |
|
|
max_abs_frac = std::abs(frac);
|
3883 |
|
|
}
|
3884 |
|
|
}
|
3885 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000017e-10));
|
3886 |
|
|
}
|
3887 |
|
|
|
3888 |
|
|
// Test data for a=10.000000000000000, c=3.0000000000000000.
|
3889 |
|
|
testcase_conf_hyperg<double> data053[] = {
|
3890 |
|
|
{ 1.4973169075105230e-05, 10.000000000000000, 3.0000000000000000,
|
3891 |
|
|
-10.000000000000000 },
|
3892 |
|
|
{ 5.7627971015476259e-05, 10.000000000000000, 3.0000000000000000,
|
3893 |
|
|
-9.0000000000000000 },
|
3894 |
|
|
{ 9.5964794084281178e-05, 10.000000000000000, 3.0000000000000000,
|
3895 |
|
|
-8.0000000000000000 },
|
3896 |
|
|
{ 1.5479477810339013e-05, 10.000000000000000, 3.0000000000000000,
|
3897 |
|
|
-7.0000000000000000 },
|
3898 |
|
|
{ -0.00035410745380947978, 10.000000000000000, 3.0000000000000000,
|
3899 |
|
|
-6.0000000000000000 },
|
3900 |
|
|
{ -0.00078393993138610115, 10.000000000000000, 3.0000000000000000,
|
3901 |
|
|
-5.0000000000000000 },
|
3902 |
|
|
{ 0.00038117202625584341, 10.000000000000000, 3.0000000000000000,
|
3903 |
|
|
-4.0000000000000000 },
|
3904 |
|
|
{ 0.0045341794406447526, 10.000000000000000, 3.0000000000000000,
|
3905 |
|
|
-3.0000000000000000 },
|
3906 |
|
|
{ -0.0031029253652133434, 10.000000000000000, 3.0000000000000000,
|
3907 |
|
|
-2.0000000000000000 },
|
3908 |
|
|
{ -0.028487137061611361, 10.000000000000000, 3.0000000000000000,
|
3909 |
|
|
-1.0000000000000000 },
|
3910 |
|
|
{ 1.0000000000000000, 10.000000000000000, 3.0000000000000000,
|
3911 |
|
|
0.0000000000000000 },
|
3912 |
|
|
{ 15.691485606063281, 10.000000000000000, 3.0000000000000000,
|
3913 |
|
|
1.0000000000000000 },
|
3914 |
|
|
{ 141.71088859081422, 10.000000000000000, 3.0000000000000000,
|
3915 |
|
|
2.0000000000000000 },
|
3916 |
|
|
{ 997.55177799313742, 10.000000000000000, 3.0000000000000000,
|
3917 |
|
|
3.0000000000000000 },
|
3918 |
|
|
{ 6038.6324280926056, 10.000000000000000, 3.0000000000000000,
|
3919 |
|
|
4.0000000000000000 },
|
3920 |
|
|
{ 32946.952425437157, 10.000000000000000, 3.0000000000000000,
|
3921 |
|
|
5.0000000000000000 },
|
3922 |
|
|
{ 166431.66712118863, 10.000000000000000, 3.0000000000000000,
|
3923 |
|
|
6.0000000000000000 },
|
3924 |
|
|
{ 791818.30272061308, 10.000000000000000, 3.0000000000000000,
|
3925 |
|
|
7.0000000000000000 },
|
3926 |
|
|
{ 3589678.0198700386, 10.000000000000000, 3.0000000000000000,
|
3927 |
|
|
8.0000000000000000 },
|
3928 |
|
|
{ 15637649.698874988, 10.000000000000000, 3.0000000000000000,
|
3929 |
|
|
9.0000000000000000 },
|
3930 |
|
|
{ 65871447.346678361, 10.000000000000000, 3.0000000000000000,
|
3931 |
|
|
10.000000000000000 },
|
3932 |
|
|
};
|
3933 |
|
|
|
3934 |
|
|
// Test function for a=10.000000000000000, c=3.0000000000000000.
|
3935 |
|
|
template <typename Tp>
|
3936 |
|
|
void test053()
|
3937 |
|
|
{
|
3938 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3939 |
|
|
Tp max_abs_diff = -Tp(1);
|
3940 |
|
|
Tp max_abs_frac = -Tp(1);
|
3941 |
|
|
unsigned int num_datum = sizeof(data053)
|
3942 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
3943 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3944 |
|
|
{
|
3945 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data053[i].a), Tp(data053[i].c),
|
3946 |
|
|
Tp(data053[i].x));
|
3947 |
|
|
const Tp f0 = data053[i].f0;
|
3948 |
|
|
const Tp diff = f - f0;
|
3949 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3950 |
|
|
max_abs_diff = std::abs(diff);
|
3951 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3952 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3953 |
|
|
{
|
3954 |
|
|
const Tp frac = diff / f0;
|
3955 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3956 |
|
|
max_abs_frac = std::abs(frac);
|
3957 |
|
|
}
|
3958 |
|
|
}
|
3959 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000013e-09));
|
3960 |
|
|
}
|
3961 |
|
|
|
3962 |
|
|
// Test data for a=10.000000000000000, c=4.0000000000000000.
|
3963 |
|
|
testcase_conf_hyperg<double> data054[] = {
|
3964 |
|
|
{ 6.9661267889527031e-06, 10.000000000000000, 4.0000000000000000,
|
3965 |
|
|
-10.000000000000000 },
|
3966 |
|
|
{ -3.0301514396282926e-06, 10.000000000000000, 4.0000000000000000,
|
3967 |
|
|
-9.0000000000000000 },
|
3968 |
|
|
{ -3.7983599138168025e-05, 10.000000000000000, 4.0000000000000000,
|
3969 |
|
|
-8.0000000000000000 },
|
3970 |
|
|
{ -9.3615660121163871e-05, 10.000000000000000, 4.0000000000000000,
|
3971 |
|
|
-7.0000000000000000 },
|
3972 |
|
|
{ -7.0821490761895943e-05, 10.000000000000000, 4.0000000000000000,
|
3973 |
|
|
-6.0000000000000000 },
|
3974 |
|
|
{ 0.00030692863727646260, 10.000000000000000, 4.0000000000000000,
|
3975 |
|
|
-5.0000000000000000 },
|
3976 |
|
|
{ 0.0010659895649527829, 10.000000000000000, 4.0000000000000000,
|
3977 |
|
|
-4.0000000000000000 },
|
3978 |
|
|
{ -0.00042230102633456065, 10.000000000000000, 4.0000000000000000,
|
3979 |
|
|
-3.0000000000000000 },
|
3980 |
|
|
{ -0.010168047735237568, 10.000000000000000, 4.0000000000000000,
|
3981 |
|
|
-2.0000000000000000 },
|
3982 |
|
|
{ 0.036903514708782073, 10.000000000000000, 4.0000000000000000,
|
3983 |
|
|
-1.0000000000000000 },
|
3984 |
|
|
{ 1.0000000000000000, 10.000000000000000, 4.0000000000000000,
|
3985 |
|
|
0.0000000000000000 },
|
3986 |
|
|
{ 9.3384756433214022, 10.000000000000000, 4.0000000000000000,
|
3987 |
|
|
1.0000000000000000 },
|
3988 |
|
|
{ 63.905561372021388, 10.000000000000000, 4.0000000000000000,
|
3989 |
|
|
2.0000000000000000 },
|
3990 |
|
|
{ 370.08498456728779, 10.000000000000000, 4.0000000000000000,
|
3991 |
|
|
3.0000000000000000 },
|
3992 |
|
|
{ 1922.9526217493540, 10.000000000000000, 4.0000000000000000,
|
3993 |
|
|
4.0000000000000000 },
|
3994 |
|
|
{ 9245.0380014351485, 10.000000000000000, 4.0000000000000000,
|
3995 |
|
|
5.0000000000000000 },
|
3996 |
|
|
{ 41898.961838459785, 10.000000000000000, 4.0000000000000000,
|
3997 |
|
|
6.0000000000000000 },
|
3998 |
|
|
{ 181211.14084739226, 10.000000000000000, 4.0000000000000000,
|
3999 |
|
|
7.0000000000000000 },
|
4000 |
|
|
{ 754384.25570692297, 10.000000000000000, 4.0000000000000000,
|
4001 |
|
|
8.0000000000000000 },
|
4002 |
|
|
{ 3042060.4915799876, 10.000000000000000, 4.0000000000000000,
|
4003 |
|
|
9.0000000000000000 },
|
4004 |
|
|
{ 11939626.424402930, 10.000000000000000, 4.0000000000000000,
|
4005 |
|
|
10.000000000000000 },
|
4006 |
|
|
};
|
4007 |
|
|
|
4008 |
|
|
// Test function for a=10.000000000000000, c=4.0000000000000000.
|
4009 |
|
|
template <typename Tp>
|
4010 |
|
|
void test054()
|
4011 |
|
|
{
|
4012 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4013 |
|
|
Tp max_abs_diff = -Tp(1);
|
4014 |
|
|
Tp max_abs_frac = -Tp(1);
|
4015 |
|
|
unsigned int num_datum = sizeof(data054)
|
4016 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4017 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4018 |
|
|
{
|
4019 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data054[i].a), Tp(data054[i].c),
|
4020 |
|
|
Tp(data054[i].x));
|
4021 |
|
|
const Tp f0 = data054[i].f0;
|
4022 |
|
|
const Tp diff = f - f0;
|
4023 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4024 |
|
|
max_abs_diff = std::abs(diff);
|
4025 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4026 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4027 |
|
|
{
|
4028 |
|
|
const Tp frac = diff / f0;
|
4029 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4030 |
|
|
max_abs_frac = std::abs(frac);
|
4031 |
|
|
}
|
4032 |
|
|
}
|
4033 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000026e-09));
|
4034 |
|
|
}
|
4035 |
|
|
|
4036 |
|
|
// Test data for a=10.000000000000000, c=5.0000000000000000.
|
4037 |
|
|
testcase_conf_hyperg<double> data055[] = {
|
4038 |
|
|
{ -6.2454929831989742e-06, 10.000000000000000, 5.0000000000000000,
|
4039 |
|
|
-10.000000000000000 },
|
4040 |
|
|
{ -1.1459481808048817e-05, 10.000000000000000, 5.0000000000000000,
|
4041 |
|
|
-9.0000000000000000 },
|
4042 |
|
|
{ -8.1646988801669512e-06, 10.000000000000000, 5.0000000000000000,
|
4043 |
|
|
-8.0000000000000000 },
|
4044 |
|
|
{ 3.1240400671775088e-05, 10.000000000000000, 5.0000000000000000,
|
4045 |
|
|
-7.0000000000000000 },
|
4046 |
|
|
{ 0.00014164298152379191, 10.000000000000000, 5.0000000000000000,
|
4047 |
|
|
-6.0000000000000000 },
|
4048 |
|
|
{ 0.00023172833594738379, 10.000000000000000, 5.0000000000000000,
|
4049 |
|
|
-5.0000000000000000 },
|
4050 |
|
|
{ -0.00036825094062005220, 10.000000000000000, 5.0000000000000000,
|
4051 |
|
|
-4.0000000000000000 },
|
4052 |
|
|
{ -0.0030227862937631683, 10.000000000000000, 5.0000000000000000,
|
4053 |
|
|
-3.0000000000000000 },
|
4054 |
|
|
{ -0.00028642387986584615, 10.000000000000000, 5.0000000000000000,
|
4055 |
|
|
-2.0000000000000000 },
|
4056 |
|
|
{ 0.10617896040159881, 10.000000000000000, 5.0000000000000000,
|
4057 |
|
|
-1.0000000000000000 },
|
4058 |
|
|
{ 1.0000000000000000, 10.000000000000000, 5.0000000000000000,
|
4059 |
|
|
0.0000000000000000 },
|
4060 |
|
|
{ 6.4803694966028260, 10.000000000000000, 5.0000000000000000,
|
4061 |
|
|
1.0000000000000000 },
|
4062 |
|
|
{ 35.201619637445276, 10.000000000000000, 5.0000000000000000,
|
4063 |
|
|
2.0000000000000000 },
|
4064 |
|
|
{ 171.58787257237464, 10.000000000000000, 5.0000000000000000,
|
4065 |
|
|
3.0000000000000000 },
|
4066 |
|
|
{ 775.87148867205678, 10.000000000000000, 5.0000000000000000,
|
4067 |
|
|
4.0000000000000000 },
|
4068 |
|
|
{ 3317.4071019773678, 10.000000000000000, 5.0000000000000000,
|
4069 |
|
|
5.0000000000000000 },
|
4070 |
|
|
{ 13578.260535269774, 10.000000000000000, 5.0000000000000000,
|
4071 |
|
|
6.0000000000000000 },
|
4072 |
|
|
{ 53651.761875039716, 10.000000000000000, 5.0000000000000000,
|
4073 |
|
|
7.0000000000000000 },
|
4074 |
|
|
{ 205900.60390283042, 10.000000000000000, 5.0000000000000000,
|
4075 |
|
|
8.0000000000000000 },
|
4076 |
|
|
{ 770979.49612334219, 10.000000000000000, 5.0000000000000000,
|
4077 |
|
|
9.0000000000000000 },
|
4078 |
|
|
{ 2826613.2348531331, 10.000000000000000, 5.0000000000000000,
|
4079 |
|
|
10.000000000000000 },
|
4080 |
|
|
};
|
4081 |
|
|
|
4082 |
|
|
// Test function for a=10.000000000000000, c=5.0000000000000000.
|
4083 |
|
|
template <typename Tp>
|
4084 |
|
|
void test055()
|
4085 |
|
|
{
|
4086 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4087 |
|
|
Tp max_abs_diff = -Tp(1);
|
4088 |
|
|
Tp max_abs_frac = -Tp(1);
|
4089 |
|
|
unsigned int num_datum = sizeof(data055)
|
4090 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4091 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4092 |
|
|
{
|
4093 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data055[i].a), Tp(data055[i].c),
|
4094 |
|
|
Tp(data055[i].x));
|
4095 |
|
|
const Tp f0 = data055[i].f0;
|
4096 |
|
|
const Tp diff = f - f0;
|
4097 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4098 |
|
|
max_abs_diff = std::abs(diff);
|
4099 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4100 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4101 |
|
|
{
|
4102 |
|
|
const Tp frac = diff / f0;
|
4103 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4104 |
|
|
max_abs_frac = std::abs(frac);
|
4105 |
|
|
}
|
4106 |
|
|
}
|
4107 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000013e-09));
|
4108 |
|
|
}
|
4109 |
|
|
|
4110 |
|
|
// Test data for a=10.000000000000000, c=6.0000000000000000.
|
4111 |
|
|
testcase_conf_hyperg<double> data056[] = {
|
4112 |
|
|
{ 9.6084507433830306e-07, 10.000000000000000, 6.0000000000000000,
|
4113 |
|
|
-10.000000000000000 },
|
4114 |
|
|
{ 7.7131127554174726e-06, 10.000000000000000, 6.0000000000000000,
|
4115 |
|
|
-9.0000000000000000 },
|
4116 |
|
|
{ 2.3074149009167486e-05, 10.000000000000000, 6.0000000000000000,
|
4117 |
|
|
-8.0000000000000000 },
|
4118 |
|
|
{ 4.0105919781332888e-05, 10.000000000000000, 6.0000000000000000,
|
4119 |
|
|
-7.0000000000000000 },
|
4120 |
|
|
{ -7.7443012320393170e-21, 10.000000000000000, 6.0000000000000000,
|
4121 |
|
|
-6.0000000000000000 },
|
4122 |
|
|
{ -0.00029188857701064686, 10.000000000000000, 6.0000000000000000,
|
4123 |
|
|
-5.0000000000000000 },
|
4124 |
|
|
{ -0.0010659895649527829, 10.000000000000000, 6.0000000000000000,
|
4125 |
|
|
-4.0000000000000000 },
|
4126 |
|
|
{ -0.00044452739614164190, 10.000000000000000, 6.0000000000000000,
|
4127 |
|
|
-3.0000000000000000 },
|
4128 |
|
|
{ 0.020049671590609292, 10.000000000000000, 6.0000000000000000,
|
4129 |
|
|
-2.0000000000000000 },
|
4130 |
|
|
{ 0.17092282236966813, 10.000000000000000, 6.0000000000000000,
|
4131 |
|
|
-1.0000000000000000 },
|
4132 |
|
|
{ 1.0000000000000000, 10.000000000000000, 6.0000000000000000,
|
4133 |
|
|
0.0000000000000000 },
|
4134 |
|
|
{ 4.9520550902714540, 10.000000000000000, 6.0000000000000000,
|
4135 |
|
|
1.0000000000000000 },
|
4136 |
|
|
{ 22.206263831706924, 10.000000000000000, 6.0000000000000000,
|
4137 |
|
|
2.0000000000000000 },
|
4138 |
|
|
{ 93.074943420842843, 10.000000000000000, 6.0000000000000000,
|
4139 |
|
|
3.0000000000000000 },
|
4140 |
|
|
{ 371.20964440523989, 10.000000000000000, 6.0000000000000000,
|
4141 |
|
|
4.0000000000000000 },
|
4142 |
|
|
{ 1424.6976175888544, 10.000000000000000, 6.0000000000000000,
|
4143 |
|
|
5.0000000000000000 },
|
4144 |
|
|
{ 5302.2070001902330, 10.000000000000000, 6.0000000000000000,
|
4145 |
|
|
6.0000000000000000 },
|
4146 |
|
|
{ 19239.311823447424, 10.000000000000000, 6.0000000000000000,
|
4147 |
|
|
7.0000000000000000 },
|
4148 |
|
|
{ 68341.221999215923, 10.000000000000000, 6.0000000000000000,
|
4149 |
|
|
8.0000000000000000 },
|
4150 |
|
|
{ 238389.83519072225, 10.000000000000000, 6.0000000000000000,
|
4151 |
|
|
9.0000000000000000 },
|
4152 |
|
|
{ 818592.04096678516, 10.000000000000000, 6.0000000000000000,
|
4153 |
|
|
10.000000000000000 },
|
4154 |
|
|
};
|
4155 |
|
|
|
4156 |
|
|
// Test function for a=10.000000000000000, c=6.0000000000000000.
|
4157 |
|
|
template <typename Tp>
|
4158 |
|
|
void test056()
|
4159 |
|
|
{
|
4160 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4161 |
|
|
Tp max_abs_diff = -Tp(1);
|
4162 |
|
|
Tp max_abs_frac = -Tp(1);
|
4163 |
|
|
unsigned int num_datum = sizeof(data056)
|
4164 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4165 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4166 |
|
|
{
|
4167 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data056[i].a), Tp(data056[i].c),
|
4168 |
|
|
Tp(data056[i].x));
|
4169 |
|
|
const Tp f0 = data056[i].f0;
|
4170 |
|
|
const Tp diff = f - f0;
|
4171 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4172 |
|
|
max_abs_diff = std::abs(diff);
|
4173 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4174 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4175 |
|
|
{
|
4176 |
|
|
const Tp frac = diff / f0;
|
4177 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4178 |
|
|
max_abs_frac = std::abs(frac);
|
4179 |
|
|
}
|
4180 |
|
|
}
|
4181 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000012e-08));
|
4182 |
|
|
}
|
4183 |
|
|
|
4184 |
|
|
// Test data for a=10.000000000000000, c=7.0000000000000000.
|
4185 |
|
|
testcase_conf_hyperg<double> data057[] = {
|
4186 |
|
|
{ 3.9634859316455036e-06, 10.000000000000000, 7.0000000000000000,
|
4187 |
|
|
-10.000000000000000 },
|
4188 |
|
|
{ 4.4074930030956985e-06, 10.000000000000000, 7.0000000000000000,
|
4189 |
|
|
-9.0000000000000000 },
|
4190 |
|
|
{ -5.3248036175001926e-06, 10.000000000000000, 7.0000000000000000,
|
4191 |
|
|
-8.0000000000000000 },
|
4192 |
|
|
{ -5.0660109197473119e-05, 10.000000000000000, 7.0000000000000000,
|
4193 |
|
|
-7.0000000000000000 },
|
4194 |
|
|
{ -0.00017705372690473989, 10.000000000000000, 7.0000000000000000,
|
4195 |
|
|
-6.0000000000000000 },
|
4196 |
|
|
{ -0.00034759250392107569, 10.000000000000000, 7.0000000000000000,
|
4197 |
|
|
-5.0000000000000000 },
|
4198 |
|
|
{ 0.00029072442680530428, 10.000000000000000, 7.0000000000000000,
|
4199 |
|
|
-4.0000000000000000 },
|
4200 |
|
|
{ 0.0071124383382662791, 10.000000000000000, 7.0000000000000000,
|
4201 |
|
|
-3.0000000000000000 },
|
4202 |
|
|
{ 0.046185850628367831, 10.000000000000000, 7.0000000000000000,
|
4203 |
|
|
-2.0000000000000000 },
|
4204 |
|
|
{ 0.22919473120601763, 10.000000000000000, 7.0000000000000000,
|
4205 |
|
|
-1.0000000000000000 },
|
4206 |
|
|
{ 1.0000000000000000, 10.000000000000000, 7.0000000000000000,
|
4207 |
|
|
0.0000000000000000 },
|
4208 |
|
|
{ 4.0342754120781059, 10.000000000000000, 7.0000000000000000,
|
4209 |
|
|
1.0000000000000000 },
|
4210 |
|
|
{ 15.423188523958421, 10.000000000000000, 7.0000000000000000,
|
4211 |
|
|
2.0000000000000000 },
|
4212 |
|
|
{ 56.669907747565212, 10.000000000000000, 7.0000000000000000,
|
4213 |
|
|
3.0000000000000000 },
|
4214 |
|
|
{ 201.92649139242229, 10.000000000000000, 7.0000000000000000,
|
4215 |
|
|
4.0000000000000000 },
|
4216 |
|
|
{ 702.01780019948944, 10.000000000000000, 7.0000000000000000,
|
4217 |
|
|
5.0000000000000000 },
|
4218 |
|
|
{ 2391.7564185640722, 10.000000000000000, 7.0000000000000000,
|
4219 |
|
|
6.0000000000000000 },
|
4220 |
|
|
{ 8011.5144629634615, 10.000000000000000, 7.0000000000000000,
|
4221 |
|
|
7.0000000000000000 },
|
4222 |
|
|
{ 26450.087535814702, 10.000000000000000, 7.0000000000000000,
|
4223 |
|
|
8.0000000000000000 },
|
4224 |
|
|
{ 86239.964657766584, 10.000000000000000, 7.0000000000000000,
|
4225 |
|
|
9.0000000000000000 },
|
4226 |
|
|
{ 278127.83396458323, 10.000000000000000, 7.0000000000000000,
|
4227 |
|
|
10.000000000000000 },
|
4228 |
|
|
};
|
4229 |
|
|
|
4230 |
|
|
// Test function for a=10.000000000000000, c=7.0000000000000000.
|
4231 |
|
|
template <typename Tp>
|
4232 |
|
|
void test057()
|
4233 |
|
|
{
|
4234 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4235 |
|
|
Tp max_abs_diff = -Tp(1);
|
4236 |
|
|
Tp max_abs_frac = -Tp(1);
|
4237 |
|
|
unsigned int num_datum = sizeof(data057)
|
4238 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4239 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4240 |
|
|
{
|
4241 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data057[i].a), Tp(data057[i].c),
|
4242 |
|
|
Tp(data057[i].x));
|
4243 |
|
|
const Tp f0 = data057[i].f0;
|
4244 |
|
|
const Tp diff = f - f0;
|
4245 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4246 |
|
|
max_abs_diff = std::abs(diff);
|
4247 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4248 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4249 |
|
|
{
|
4250 |
|
|
const Tp frac = diff / f0;
|
4251 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4252 |
|
|
max_abs_frac = std::abs(frac);
|
4253 |
|
|
}
|
4254 |
|
|
}
|
4255 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000004e-06));
|
4256 |
|
|
}
|
4257 |
|
|
|
4258 |
|
|
// Test data for a=10.000000000000000, c=8.0000000000000000.
|
4259 |
|
|
testcase_conf_hyperg<double> data058[] = {
|
4260 |
|
|
{ -5.0444366402760924e-06, 10.000000000000000, 8.0000000000000000,
|
4261 |
|
|
-10.000000000000000 },
|
4262 |
|
|
{ -1.5426225510834945e-05, 10.000000000000000, 8.0000000000000000,
|
4263 |
|
|
-9.0000000000000000 },
|
4264 |
|
|
{ -3.7273625322501334e-05, 10.000000000000000, 8.0000000000000000,
|
4265 |
|
|
-8.0000000000000000 },
|
4266 |
|
|
{ -6.3325136496841480e-05, 10.000000000000000, 8.0000000000000000,
|
4267 |
|
|
-7.0000000000000000 },
|
4268 |
|
|
{ -2.7519677388747149e-19, 10.000000000000000, 8.0000000000000000,
|
4269 |
|
|
-6.0000000000000000 },
|
4270 |
|
|
{ 0.00065507818046664273, 10.000000000000000, 8.0000000000000000,
|
4271 |
|
|
-5.0000000000000000 },
|
4272 |
|
|
{ 0.0040701419752742617, 10.000000000000000, 8.0000000000000000,
|
4273 |
|
|
-4.0000000000000000 },
|
4274 |
|
|
{ 0.018670150637948978, 10.000000000000000, 8.0000000000000000,
|
4275 |
|
|
-3.0000000000000000 },
|
4276 |
|
|
{ 0.075186268464784836, 10.000000000000000, 8.0000000000000000,
|
4277 |
|
|
-2.0000000000000000 },
|
4278 |
|
|
{ 0.28101901756151842, 10.000000000000000, 8.0000000000000000,
|
4279 |
|
|
-1.0000000000000000 },
|
4280 |
|
|
{ 1.0000000000000000, 10.000000000000000, 8.0000000000000000,
|
4281 |
|
|
0.0000000000000000 },
|
4282 |
|
|
{ 3.4356061998579595, 10.000000000000000, 8.0000000000000000,
|
4283 |
|
|
1.0000000000000000 },
|
4284 |
|
|
{ 11.494087265003234, 10.000000000000000, 8.0000000000000000,
|
4285 |
|
|
2.0000000000000000 },
|
4286 |
|
|
{ 37.660381730976880, 10.000000000000000, 8.0000000000000000,
|
4287 |
|
|
3.0000000000000000 },
|
4288 |
|
|
{ 121.32922229587608, 10.000000000000000, 8.0000000000000000,
|
4289 |
|
|
4.0000000000000000 },
|
4290 |
|
|
{ 385.46195489141422, 10.000000000000000, 8.0000000000000000,
|
4291 |
|
|
5.0000000000000000 },
|
4292 |
|
|
{ 1210.2863804782053, 10.000000000000000, 8.0000000000000000,
|
4293 |
|
|
6.0000000000000000 },
|
4294 |
|
|
{ 3762.0609740531836, 10.000000000000000, 8.0000000000000000,
|
4295 |
|
|
7.0000000000000000 },
|
4296 |
|
|
{ 11592.614394051165, 10.000000000000000, 8.0000000000000000,
|
4297 |
|
|
8.0000000000000000 },
|
4298 |
|
|
{ 35450.992183142305, 10.000000000000000, 8.0000000000000000,
|
4299 |
|
|
9.0000000000000000 },
|
4300 |
|
|
{ 107684.94388572175, 10.000000000000000, 8.0000000000000000,
|
4301 |
|
|
10.000000000000000 },
|
4302 |
|
|
};
|
4303 |
|
|
|
4304 |
|
|
// Test function for a=10.000000000000000, c=8.0000000000000000.
|
4305 |
|
|
template <typename Tp>
|
4306 |
|
|
void test058()
|
4307 |
|
|
{
|
4308 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4309 |
|
|
Tp max_abs_diff = -Tp(1);
|
4310 |
|
|
Tp max_abs_frac = -Tp(1);
|
4311 |
|
|
unsigned int num_datum = sizeof(data058)
|
4312 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4313 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4314 |
|
|
{
|
4315 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data058[i].a), Tp(data058[i].c),
|
4316 |
|
|
Tp(data058[i].x));
|
4317 |
|
|
const Tp f0 = data058[i].f0;
|
4318 |
|
|
const Tp diff = f - f0;
|
4319 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4320 |
|
|
max_abs_diff = std::abs(diff);
|
4321 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4322 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4323 |
|
|
{
|
4324 |
|
|
const Tp frac = diff / f0;
|
4325 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4326 |
|
|
max_abs_frac = std::abs(frac);
|
4327 |
|
|
}
|
4328 |
|
|
}
|
4329 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000013e-09));
|
4330 |
|
|
}
|
4331 |
|
|
|
4332 |
|
|
// Test data for a=10.000000000000000, c=9.0000000000000000.
|
4333 |
|
|
testcase_conf_hyperg<double> data059[] = {
|
4334 |
|
|
{ -5.0444366402760974e-06, 10.000000000000000, 9.0000000000000000,
|
4335 |
|
|
-10.000000000000000 },
|
4336 |
|
|
{ 0.0000000000000000, 10.000000000000000, 9.0000000000000000,
|
4337 |
|
|
-9.0000000000000000 },
|
4338 |
|
|
{ 3.7273625322501334e-05, 10.000000000000000, 9.0000000000000000,
|
4339 |
|
|
-8.0000000000000000 },
|
4340 |
|
|
{ 0.00020264043678989247, 10.000000000000000, 9.0000000000000000,
|
4341 |
|
|
-7.0000000000000000 },
|
4342 |
|
|
{ 0.00082625072555545290, 10.000000000000000, 9.0000000000000000,
|
4343 |
|
|
-6.0000000000000000 },
|
4344 |
|
|
{ 0.0029946431107046520, 10.000000000000000, 9.0000000000000000,
|
4345 |
|
|
-5.0000000000000000 },
|
4346 |
|
|
{ 0.010175354938185655, 10.000000000000000, 9.0000000000000000,
|
4347 |
|
|
-4.0000000000000000 },
|
4348 |
|
|
{ 0.033191378911909299, 10.000000000000000, 9.0000000000000000,
|
4349 |
|
|
-3.0000000000000000 },
|
4350 |
|
|
{ 0.10526077585069878, 10.000000000000000, 9.0000000000000000,
|
4351 |
|
|
-2.0000000000000000 },
|
4352 |
|
|
{ 0.32700394770794872, 10.000000000000000, 9.0000000000000000,
|
4353 |
|
|
-1.0000000000000000 },
|
4354 |
|
|
{ 1.0000000000000000, 10.000000000000000, 9.0000000000000000,
|
4355 |
|
|
0.0000000000000000 },
|
4356 |
|
|
{ 3.0203131427322725, 10.000000000000000, 9.0000000000000000,
|
4357 |
|
|
1.0000000000000000 },
|
4358 |
|
|
{ 9.0310685653596838, 10.000000000000000, 9.0000000000000000,
|
4359 |
|
|
2.0000000000000000 },
|
4360 |
|
|
{ 26.780715897583555, 10.000000000000000, 9.0000000000000000,
|
4361 |
|
|
3.0000000000000000 },
|
4362 |
|
|
{ 78.863994492319449, 10.000000000000000, 9.0000000000000000,
|
4363 |
|
|
4.0000000000000000 },
|
4364 |
|
|
{ 230.86491415956360, 10.000000000000000, 9.0000000000000000,
|
4365 |
|
|
5.0000000000000000 },
|
4366 |
|
|
{ 672.38132248789179, 10.000000000000000, 9.0000000000000000,
|
4367 |
|
|
6.0000000000000000 },
|
4368 |
|
|
{ 1949.5700594283705, 10.000000000000000, 9.0000000000000000,
|
4369 |
|
|
7.0000000000000000 },
|
4370 |
|
|
{ 5630.6984199677090, 10.000000000000000, 9.0000000000000000,
|
4371 |
|
|
8.0000000000000000 },
|
4372 |
|
|
{ 16206.167855150768, 10.000000000000000, 9.0000000000000000,
|
4373 |
|
|
9.0000000000000000 },
|
4374 |
|
|
{ 46500.316677925293, 10.000000000000000, 9.0000000000000000,
|
4375 |
|
|
10.000000000000000 },
|
4376 |
|
|
};
|
4377 |
|
|
|
4378 |
|
|
// Test function for a=10.000000000000000, c=9.0000000000000000.
|
4379 |
|
|
template <typename Tp>
|
4380 |
|
|
void test059()
|
4381 |
|
|
{
|
4382 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4383 |
|
|
Tp max_abs_diff = -Tp(1);
|
4384 |
|
|
Tp max_abs_frac = -Tp(1);
|
4385 |
|
|
unsigned int num_datum = sizeof(data059)
|
4386 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4387 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4388 |
|
|
{
|
4389 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data059[i].a), Tp(data059[i].c),
|
4390 |
|
|
Tp(data059[i].x));
|
4391 |
|
|
const Tp f0 = data059[i].f0;
|
4392 |
|
|
const Tp diff = f - f0;
|
4393 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4394 |
|
|
max_abs_diff = std::abs(diff);
|
4395 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4396 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4397 |
|
|
{
|
4398 |
|
|
const Tp frac = diff / f0;
|
4399 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4400 |
|
|
max_abs_frac = std::abs(frac);
|
4401 |
|
|
}
|
4402 |
|
|
}
|
4403 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000013e-09));
|
4404 |
|
|
}
|
4405 |
|
|
|
4406 |
|
|
// Test data for a=10.000000000000000, c=10.000000000000000.
|
4407 |
|
|
testcase_conf_hyperg<double> data060[] = {
|
4408 |
|
|
{ 4.5399929762484854e-05, 10.000000000000000, 10.000000000000000,
|
4409 |
|
|
-10.000000000000000 },
|
4410 |
|
|
{ 0.00012340980408667956, 10.000000000000000, 10.000000000000000,
|
4411 |
|
|
-9.0000000000000000 },
|
4412 |
|
|
{ 0.00033546262790251185, 10.000000000000000, 10.000000000000000,
|
4413 |
|
|
-8.0000000000000000 },
|
4414 |
|
|
{ 0.00091188196555451624, 10.000000000000000, 10.000000000000000,
|
4415 |
|
|
-7.0000000000000000 },
|
4416 |
|
|
{ 0.0024787521766663585, 10.000000000000000, 10.000000000000000,
|
4417 |
|
|
-6.0000000000000000 },
|
4418 |
|
|
{ 0.0067379469990854670, 10.000000000000000, 10.000000000000000,
|
4419 |
|
|
-5.0000000000000000 },
|
4420 |
|
|
{ 0.018315638888734179, 10.000000000000000, 10.000000000000000,
|
4421 |
|
|
-4.0000000000000000 },
|
4422 |
|
|
{ 0.049787068367863944, 10.000000000000000, 10.000000000000000,
|
4423 |
|
|
-3.0000000000000000 },
|
4424 |
|
|
{ 0.13533528323661270, 10.000000000000000, 10.000000000000000,
|
4425 |
|
|
-2.0000000000000000 },
|
4426 |
|
|
{ 0.36787944117144233, 10.000000000000000, 10.000000000000000,
|
4427 |
|
|
-1.0000000000000000 },
|
4428 |
|
|
{ 1.0000000000000000, 10.000000000000000, 10.000000000000000,
|
4429 |
|
|
0.0000000000000000 },
|
4430 |
|
|
{ 2.7182818284590451, 10.000000000000000, 10.000000000000000,
|
4431 |
|
|
1.0000000000000000 },
|
4432 |
|
|
{ 7.3890560989306504, 10.000000000000000, 10.000000000000000,
|
4433 |
|
|
2.0000000000000000 },
|
4434 |
|
|
{ 20.085536923187668, 10.000000000000000, 10.000000000000000,
|
4435 |
|
|
3.0000000000000000 },
|
4436 |
|
|
{ 54.598150033144236, 10.000000000000000, 10.000000000000000,
|
4437 |
|
|
4.0000000000000000 },
|
4438 |
|
|
{ 148.41315910257660, 10.000000000000000, 10.000000000000000,
|
4439 |
|
|
5.0000000000000000 },
|
4440 |
|
|
{ 403.42879349273511, 10.000000000000000, 10.000000000000000,
|
4441 |
|
|
6.0000000000000000 },
|
4442 |
|
|
{ 1096.6331584284585, 10.000000000000000, 10.000000000000000,
|
4443 |
|
|
7.0000000000000000 },
|
4444 |
|
|
{ 2980.9579870417283, 10.000000000000000, 10.000000000000000,
|
4445 |
|
|
8.0000000000000000 },
|
4446 |
|
|
{ 8103.0839275753842, 10.000000000000000, 10.000000000000000,
|
4447 |
|
|
9.0000000000000000 },
|
4448 |
|
|
{ 22026.465794806718, 10.000000000000000, 10.000000000000000,
|
4449 |
|
|
10.000000000000000 },
|
4450 |
|
|
};
|
4451 |
|
|
|
4452 |
|
|
// Test function for a=10.000000000000000, c=10.000000000000000.
|
4453 |
|
|
template <typename Tp>
|
4454 |
|
|
void test060()
|
4455 |
|
|
{
|
4456 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4457 |
|
|
Tp max_abs_diff = -Tp(1);
|
4458 |
|
|
Tp max_abs_frac = -Tp(1);
|
4459 |
|
|
unsigned int num_datum = sizeof(data060)
|
4460 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4461 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4462 |
|
|
{
|
4463 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data060[i].a), Tp(data060[i].c),
|
4464 |
|
|
Tp(data060[i].x));
|
4465 |
|
|
const Tp f0 = data060[i].f0;
|
4466 |
|
|
const Tp diff = f - f0;
|
4467 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4468 |
|
|
max_abs_diff = std::abs(diff);
|
4469 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4470 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4471 |
|
|
{
|
4472 |
|
|
const Tp frac = diff / f0;
|
4473 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4474 |
|
|
max_abs_frac = std::abs(frac);
|
4475 |
|
|
}
|
4476 |
|
|
}
|
4477 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
4478 |
|
|
}
|
4479 |
|
|
|
4480 |
|
|
// Test data for a=20.000000000000000, c=1.0000000000000000.
|
4481 |
|
|
testcase_conf_hyperg<double> data061[] = {
|
4482 |
|
|
{ 0.00018021852293239465, 20.000000000000000, 1.0000000000000000,
|
4483 |
|
|
-10.000000000000000 },
|
4484 |
|
|
{ 0.0017726368057851861, 20.000000000000000, 1.0000000000000000,
|
4485 |
|
|
-9.0000000000000000 },
|
4486 |
|
|
{ 0.00058280040382329248, 20.000000000000000, 1.0000000000000000,
|
4487 |
|
|
-8.0000000000000000 },
|
4488 |
|
|
{ -0.0049657717020590141, 20.000000000000000, 1.0000000000000000,
|
4489 |
|
|
-7.0000000000000000 },
|
4490 |
|
|
{ -0.0012360336087128597, 20.000000000000000, 1.0000000000000000,
|
4491 |
|
|
-6.0000000000000000 },
|
4492 |
|
|
{ 0.014898894139255305, 20.000000000000000, 1.0000000000000000,
|
4493 |
|
|
-5.0000000000000000 },
|
4494 |
|
|
{ -0.013800784612552089, 20.000000000000000, 1.0000000000000000,
|
4495 |
|
|
-4.0000000000000000 },
|
4496 |
|
|
{ -0.012192213426039619, 20.000000000000000, 1.0000000000000000,
|
4497 |
|
|
-3.0000000000000000 },
|
4498 |
|
|
{ 0.050311246773136239, 20.000000000000000, 1.0000000000000000,
|
4499 |
|
|
-2.0000000000000000 },
|
4500 |
|
|
{ -0.025985814502838461, 20.000000000000000, 1.0000000000000000,
|
4501 |
|
|
-1.0000000000000000 },
|
4502 |
|
|
{ 1.0000000000000000, 20.000000000000000, 1.0000000000000000,
|
4503 |
|
|
0.0000000000000000 },
|
4504 |
|
|
{ 1563.6577385252015, 20.000000000000000, 1.0000000000000000,
|
4505 |
|
|
1.0000000000000000 },
|
4506 |
|
|
{ 86377.091910766278, 20.000000000000000, 1.0000000000000000,
|
4507 |
|
|
2.0000000000000000 },
|
4508 |
|
|
{ 2216718.8789979252, 20.000000000000000, 1.0000000000000000,
|
4509 |
|
|
3.0000000000000000 },
|
4510 |
|
|
{ 38045018.520647161, 20.000000000000000, 1.0000000000000000,
|
4511 |
|
|
4.0000000000000000 },
|
4512 |
|
|
{ 504376263.68346798, 20.000000000000000, 1.0000000000000000,
|
4513 |
|
|
5.0000000000000000 },
|
4514 |
|
|
{ 5565635666.7972031, 20.000000000000000, 1.0000000000000000,
|
4515 |
|
|
6.0000000000000000 },
|
4516 |
|
|
{ 53451562646.544518, 20.000000000000000, 1.0000000000000000,
|
4517 |
|
|
7.0000000000000000 },
|
4518 |
|
|
{ 460009135340.33868, 20.000000000000000, 1.0000000000000000,
|
4519 |
|
|
8.0000000000000000 },
|
4520 |
|
|
{ 3620401937301.4907, 20.000000000000000, 1.0000000000000000,
|
4521 |
|
|
9.0000000000000000 },
|
4522 |
|
|
{ 26446266822604.152, 20.000000000000000, 1.0000000000000000,
|
4523 |
|
|
10.000000000000000 },
|
4524 |
|
|
};
|
4525 |
|
|
|
4526 |
|
|
// Test function for a=20.000000000000000, c=1.0000000000000000.
|
4527 |
|
|
template <typename Tp>
|
4528 |
|
|
void test061()
|
4529 |
|
|
{
|
4530 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4531 |
|
|
Tp max_abs_diff = -Tp(1);
|
4532 |
|
|
Tp max_abs_frac = -Tp(1);
|
4533 |
|
|
unsigned int num_datum = sizeof(data061)
|
4534 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4535 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4536 |
|
|
{
|
4537 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data061[i].a), Tp(data061[i].c),
|
4538 |
|
|
Tp(data061[i].x));
|
4539 |
|
|
const Tp f0 = data061[i].f0;
|
4540 |
|
|
const Tp diff = f - f0;
|
4541 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4542 |
|
|
max_abs_diff = std::abs(diff);
|
4543 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4544 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4545 |
|
|
{
|
4546 |
|
|
const Tp frac = diff / f0;
|
4547 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4548 |
|
|
max_abs_frac = std::abs(frac);
|
4549 |
|
|
}
|
4550 |
|
|
}
|
4551 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
|
4552 |
|
|
}
|
4553 |
|
|
|
4554 |
|
|
// Test data for a=20.000000000000000, c=2.0000000000000000.
|
4555 |
|
|
testcase_conf_hyperg<double> data062[] = {
|
4556 |
|
|
{ 6.6647681992684102e-05, 20.000000000000000, 2.0000000000000000,
|
4557 |
|
|
-10.000000000000000 },
|
4558 |
|
|
{ -3.7248253270227178e-05, 20.000000000000000, 2.0000000000000000,
|
4559 |
|
|
-9.0000000000000000 },
|
4560 |
|
|
{ -0.00024392611307344028, 20.000000000000000, 2.0000000000000000,
|
4561 |
|
|
-8.0000000000000000 },
|
4562 |
|
|
{ 2.4034559592246216e-05, 20.000000000000000, 2.0000000000000000,
|
4563 |
|
|
-7.0000000000000000 },
|
4564 |
|
|
{ 0.00081645960584843073, 20.000000000000000, 2.0000000000000000,
|
4565 |
|
|
-6.0000000000000000 },
|
4566 |
|
|
{ -0.00051326387116462115, 20.000000000000000, 2.0000000000000000,
|
4567 |
|
|
-5.0000000000000000 },
|
4568 |
|
|
{ -0.0021786279856333920, 20.000000000000000, 2.0000000000000000,
|
4569 |
|
|
-4.0000000000000000 },
|
4570 |
|
|
{ 0.0061029380625179973, 20.000000000000000, 2.0000000000000000,
|
4571 |
|
|
-3.0000000000000000 },
|
4572 |
|
|
{ -0.011834301617155171, 20.000000000000000, 2.0000000000000000,
|
4573 |
|
|
-2.0000000000000000 },
|
4574 |
|
|
{ 0.037622016973681095, 20.000000000000000, 2.0000000000000000,
|
4575 |
|
|
-1.0000000000000000 },
|
4576 |
|
|
{ 1.0000000000000000, 20.000000000000000, 2.0000000000000000,
|
4577 |
|
|
0.0000000000000000 },
|
4578 |
|
|
{ 303.10954080179744, 20.000000000000000, 2.0000000000000000,
|
4579 |
|
|
1.0000000000000000 },
|
4580 |
|
|
{ 11508.923130556599, 20.000000000000000, 2.0000000000000000,
|
4581 |
|
|
2.0000000000000000 },
|
4582 |
|
|
{ 234541.86023461280, 20.000000000000000, 2.0000000000000000,
|
4583 |
|
|
3.0000000000000000 },
|
4584 |
|
|
{ 3398931.2897027107, 20.000000000000000, 2.0000000000000000,
|
4585 |
|
|
4.0000000000000000 },
|
4586 |
|
|
{ 39382712.287920594, 20.000000000000000, 2.0000000000000000,
|
4587 |
|
|
5.0000000000000000 },
|
4588 |
|
|
{ 388350500.37087941, 20.000000000000000, 2.0000000000000000,
|
4589 |
|
|
6.0000000000000000 },
|
4590 |
|
|
{ 3385284070.5527201, 20.000000000000000, 2.0000000000000000,
|
4591 |
|
|
7.0000000000000000 },
|
4592 |
|
|
{ 26751585258.405773, 20.000000000000000, 2.0000000000000000,
|
4593 |
|
|
8.0000000000000000 },
|
4594 |
|
|
{ 195061928138.27673, 20.000000000000000, 2.0000000000000000,
|
4595 |
|
|
9.0000000000000000 },
|
4596 |
|
|
{ 1329571695324.3132, 20.000000000000000, 2.0000000000000000,
|
4597 |
|
|
10.000000000000000 },
|
4598 |
|
|
};
|
4599 |
|
|
|
4600 |
|
|
// Test function for a=20.000000000000000, c=2.0000000000000000.
|
4601 |
|
|
template <typename Tp>
|
4602 |
|
|
void test062()
|
4603 |
|
|
{
|
4604 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4605 |
|
|
Tp max_abs_diff = -Tp(1);
|
4606 |
|
|
Tp max_abs_frac = -Tp(1);
|
4607 |
|
|
unsigned int num_datum = sizeof(data062)
|
4608 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4609 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4610 |
|
|
{
|
4611 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data062[i].a), Tp(data062[i].c),
|
4612 |
|
|
Tp(data062[i].x));
|
4613 |
|
|
const Tp f0 = data062[i].f0;
|
4614 |
|
|
const Tp diff = f - f0;
|
4615 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4616 |
|
|
max_abs_diff = std::abs(diff);
|
4617 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4618 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4619 |
|
|
{
|
4620 |
|
|
const Tp frac = diff / f0;
|
4621 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4622 |
|
|
max_abs_frac = std::abs(frac);
|
4623 |
|
|
}
|
4624 |
|
|
}
|
4625 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000017e-10));
|
4626 |
|
|
}
|
4627 |
|
|
|
4628 |
|
|
// Test data for a=20.000000000000000, c=3.0000000000000000.
|
4629 |
|
|
testcase_conf_hyperg<double> data063[] = {
|
4630 |
|
|
{ -8.6671962318505729e-06, 20.000000000000000, 3.0000000000000000,
|
4631 |
|
|
-10.000000000000000 },
|
4632 |
|
|
{ -1.8205565180535418e-05, 20.000000000000000, 3.0000000000000000,
|
4633 |
|
|
-9.0000000000000000 },
|
4634 |
|
|
{ 1.5620588717927631e-05, 20.000000000000000, 3.0000000000000000,
|
4635 |
|
|
-8.0000000000000000 },
|
4636 |
|
|
{ 7.6532767373103759e-05, 20.000000000000000, 3.0000000000000000,
|
4637 |
|
|
-7.0000000000000000 },
|
4638 |
|
|
{ -5.2708600380172109e-05, 20.000000000000000, 3.0000000000000000,
|
4639 |
|
|
-6.0000000000000000 },
|
4640 |
|
|
{ -0.00028546308121326264, 20.000000000000000, 3.0000000000000000,
|
4641 |
|
|
-5.0000000000000000 },
|
4642 |
|
|
{ 0.00056490746026256289, 20.000000000000000, 3.0000000000000000,
|
4643 |
|
|
-4.0000000000000000 },
|
4644 |
|
|
{ -5.0602588875468348e-07, 20.000000000000000, 3.0000000000000000,
|
4645 |
|
|
-3.0000000000000000 },
|
4646 |
|
|
{ -0.0021376080642211705, 20.000000000000000, 3.0000000000000000,
|
4647 |
|
|
-2.0000000000000000 },
|
4648 |
|
|
{ 0.0028873127225376070, 20.000000000000000, 3.0000000000000000,
|
4649 |
|
|
-1.0000000000000000 },
|
4650 |
|
|
{ 1.0000000000000000, 20.000000000000000, 3.0000000000000000,
|
4651 |
|
|
0.0000000000000000 },
|
4652 |
|
|
{ 106.38207299128953, 20.000000000000000, 3.0000000000000000,
|
4653 |
|
|
1.0000000000000000 },
|
4654 |
|
|
{ 2880.5734732831320, 20.000000000000000, 3.0000000000000000,
|
4655 |
|
|
2.0000000000000000 },
|
4656 |
|
|
{ 47353.756965165747, 20.000000000000000, 3.0000000000000000,
|
4657 |
|
|
3.0000000000000000 },
|
4658 |
|
|
{ 584732.27978148917, 20.000000000000000, 3.0000000000000000,
|
4659 |
|
|
4.0000000000000000 },
|
4660 |
|
|
{ 5957333.1101321029, 20.000000000000000, 3.0000000000000000,
|
4661 |
|
|
5.0000000000000000 },
|
4662 |
|
|
{ 52725595.633352734, 20.000000000000000, 3.0000000000000000,
|
4663 |
|
|
6.0000000000000000 },
|
4664 |
|
|
{ 418560160.03369552, 20.000000000000000, 3.0000000000000000,
|
4665 |
|
|
7.0000000000000000 },
|
4666 |
|
|
{ 3045067611.3150902, 20.000000000000000, 3.0000000000000000,
|
4667 |
|
|
8.0000000000000000 },
|
4668 |
|
|
{ 20614600690.354652, 20.000000000000000, 3.0000000000000000,
|
4669 |
|
|
9.0000000000000000 },
|
4670 |
|
|
{ 131344201933.74118, 20.000000000000000, 3.0000000000000000,
|
4671 |
|
|
10.000000000000000 },
|
4672 |
|
|
};
|
4673 |
|
|
|
4674 |
|
|
// Test function for a=20.000000000000000, c=3.0000000000000000.
|
4675 |
|
|
template <typename Tp>
|
4676 |
|
|
void test063()
|
4677 |
|
|
{
|
4678 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4679 |
|
|
Tp max_abs_diff = -Tp(1);
|
4680 |
|
|
Tp max_abs_frac = -Tp(1);
|
4681 |
|
|
unsigned int num_datum = sizeof(data063)
|
4682 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4683 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4684 |
|
|
{
|
4685 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data063[i].a), Tp(data063[i].c),
|
4686 |
|
|
Tp(data063[i].x));
|
4687 |
|
|
const Tp f0 = data063[i].f0;
|
4688 |
|
|
const Tp diff = f - f0;
|
4689 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4690 |
|
|
max_abs_diff = std::abs(diff);
|
4691 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4692 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4693 |
|
|
{
|
4694 |
|
|
const Tp frac = diff / f0;
|
4695 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4696 |
|
|
max_abs_frac = std::abs(frac);
|
4697 |
|
|
}
|
4698 |
|
|
}
|
4699 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000007e-09));
|
4700 |
|
|
}
|
4701 |
|
|
|
4702 |
|
|
// Test data for a=20.000000000000000, c=4.0000000000000000.
|
4703 |
|
|
testcase_conf_hyperg<double> data064[] = {
|
4704 |
|
|
{ -1.1286669552452404e-06, 20.000000000000000, 4.0000000000000000,
|
4705 |
|
|
-10.000000000000000 },
|
4706 |
|
|
{ 3.9595188785137704e-06, 20.000000000000000, 4.0000000000000000,
|
4707 |
|
|
-9.0000000000000000 },
|
4708 |
|
|
{ 8.6940153052790034e-06, 20.000000000000000, 4.0000000000000000,
|
4709 |
|
|
-8.0000000000000000 },
|
4710 |
|
|
{ -1.0858814018067509e-05, 20.000000000000000, 4.0000000000000000,
|
4711 |
|
|
-7.0000000000000000 },
|
4712 |
|
|
{ -4.1826023828710966e-05, 20.000000000000000, 4.0000000000000000,
|
4713 |
|
|
-6.0000000000000000 },
|
4714 |
|
|
{ 6.6455893622436357e-05, 20.000000000000000, 4.0000000000000000,
|
4715 |
|
|
-5.0000000000000000 },
|
4716 |
|
|
{ 0.00014238710517977903, 20.000000000000000, 4.0000000000000000,
|
4717 |
|
|
-4.0000000000000000 },
|
4718 |
|
|
{ -0.00071796294700866132, 20.000000000000000, 4.0000000000000000,
|
4719 |
|
|
-3.0000000000000000 },
|
4720 |
|
|
{ 0.0020884061677332653, 20.000000000000000, 4.0000000000000000,
|
4721 |
|
|
-2.0000000000000000 },
|
4722 |
|
|
{ -0.012768833157321986, 20.000000000000000, 4.0000000000000000,
|
4723 |
|
|
-1.0000000000000000 },
|
4724 |
|
|
{ 1.0000000000000000, 20.000000000000000, 4.0000000000000000,
|
4725 |
|
|
0.0000000000000000 },
|
4726 |
|
|
{ 50.659916934657751, 20.000000000000000, 4.0000000000000000,
|
4727 |
|
|
1.0000000000000000 },
|
4728 |
|
|
{ 1014.3134442335910, 20.000000000000000, 4.0000000000000000,
|
4729 |
|
|
2.0000000000000000 },
|
4730 |
|
|
{ 13665.584449611581, 20.000000000000000, 4.0000000000000000,
|
4731 |
|
|
3.0000000000000000 },
|
4732 |
|
|
{ 145123.62797278629, 20.000000000000000, 4.0000000000000000,
|
4733 |
|
|
4.0000000000000000 },
|
4734 |
|
|
{ 1308144.4519382305, 20.000000000000000, 4.0000000000000000,
|
4735 |
|
|
5.0000000000000000 },
|
4736 |
|
|
{ 10438124.578674613, 20.000000000000000, 4.0000000000000000,
|
4737 |
|
|
6.0000000000000000 },
|
4738 |
|
|
{ 75719160.524424642, 20.000000000000000, 4.0000000000000000,
|
4739 |
|
|
7.0000000000000000 },
|
4740 |
|
|
{ 508510905.96310234, 20.000000000000000, 4.0000000000000000,
|
4741 |
|
|
8.0000000000000000 },
|
4742 |
|
|
{ 3203200954.5618095, 20.000000000000000, 4.0000000000000000,
|
4743 |
|
|
9.0000000000000000 },
|
4744 |
|
|
{ 19111993543.124691, 20.000000000000000, 4.0000000000000000,
|
4745 |
|
|
10.000000000000000 },
|
4746 |
|
|
};
|
4747 |
|
|
|
4748 |
|
|
// Test function for a=20.000000000000000, c=4.0000000000000000.
|
4749 |
|
|
template <typename Tp>
|
4750 |
|
|
void test064()
|
4751 |
|
|
{
|
4752 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4753 |
|
|
Tp max_abs_diff = -Tp(1);
|
4754 |
|
|
Tp max_abs_frac = -Tp(1);
|
4755 |
|
|
unsigned int num_datum = sizeof(data064)
|
4756 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4757 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4758 |
|
|
{
|
4759 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data064[i].a), Tp(data064[i].c),
|
4760 |
|
|
Tp(data064[i].x));
|
4761 |
|
|
const Tp f0 = data064[i].f0;
|
4762 |
|
|
const Tp diff = f - f0;
|
4763 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4764 |
|
|
max_abs_diff = std::abs(diff);
|
4765 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4766 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4767 |
|
|
{
|
4768 |
|
|
const Tp frac = diff / f0;
|
4769 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4770 |
|
|
max_abs_frac = std::abs(frac);
|
4771 |
|
|
}
|
4772 |
|
|
}
|
4773 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000007e-09));
|
4774 |
|
|
}
|
4775 |
|
|
|
4776 |
|
|
// Test data for a=20.000000000000000, c=5.0000000000000000.
|
4777 |
|
|
testcase_conf_hyperg<double> data065[] = {
|
4778 |
|
|
{ 8.4755643455670995e-07, 20.000000000000000, 5.0000000000000000,
|
4779 |
|
|
-10.000000000000000 },
|
4780 |
|
|
{ 8.5721061862565634e-07, 20.000000000000000, 5.0000000000000000,
|
4781 |
|
|
-9.0000000000000000 },
|
4782 |
|
|
{ -2.8228700837555599e-06, 20.000000000000000, 5.0000000000000000,
|
4783 |
|
|
-8.0000000000000000 },
|
4784 |
|
|
{ -6.6486802159657585e-06, 20.000000000000000, 5.0000000000000000,
|
4785 |
|
|
-7.0000000000000000 },
|
4786 |
|
|
{ 1.1816828026110384e-05, 20.000000000000000, 5.0000000000000000,
|
4787 |
|
|
-6.0000000000000000 },
|
4788 |
|
|
{ 3.6173872819745767e-05, 20.000000000000000, 5.0000000000000000,
|
4789 |
|
|
-5.0000000000000000 },
|
4790 |
|
|
{ -0.00011481934287296673, 20.000000000000000, 5.0000000000000000,
|
4791 |
|
|
-4.0000000000000000 },
|
4792 |
|
|
{ 1.2650647218867087e-07, 20.000000000000000, 5.0000000000000000,
|
4793 |
|
|
-3.0000000000000000 },
|
4794 |
|
|
{ 0.0010626537950495971, 20.000000000000000, 5.0000000000000000,
|
4795 |
|
|
-2.0000000000000000 },
|
4796 |
|
|
{ -0.0085499011205641979, 20.000000000000000, 5.0000000000000000,
|
4797 |
|
|
-1.0000000000000000 },
|
4798 |
|
|
{ 1.0000000000000000, 20.000000000000000, 5.0000000000000000,
|
4799 |
|
|
0.0000000000000000 },
|
4800 |
|
|
{ 29.126637808809363, 20.000000000000000, 5.0000000000000000,
|
4801 |
|
|
1.0000000000000000 },
|
4802 |
|
|
{ 446.26914983518060, 20.000000000000000, 5.0000000000000000,
|
4803 |
|
|
2.0000000000000000 },
|
4804 |
|
|
{ 5005.6470164856382, 20.000000000000000, 5.0000000000000000,
|
4805 |
|
|
3.0000000000000000 },
|
4806 |
|
|
{ 46145.715220935213, 20.000000000000000, 5.0000000000000000,
|
4807 |
|
|
4.0000000000000000 },
|
4808 |
|
|
{ 370342.18574452243, 20.000000000000000, 5.0000000000000000,
|
4809 |
|
|
5.0000000000000000 },
|
4810 |
|
|
{ 2676402.7371661114, 20.000000000000000, 5.0000000000000000,
|
4811 |
|
|
6.0000000000000000 },
|
4812 |
|
|
{ 17803174.102029990, 20.000000000000000, 5.0000000000000000,
|
4813 |
|
|
7.0000000000000000 },
|
4814 |
|
|
{ 110674464.63597310, 20.000000000000000, 5.0000000000000000,
|
4815 |
|
|
8.0000000000000000 },
|
4816 |
|
|
{ 650149739.34228516, 20.000000000000000, 5.0000000000000000,
|
4817 |
|
|
9.0000000000000000 },
|
4818 |
|
|
{ 3639417243.5150661, 20.000000000000000, 5.0000000000000000,
|
4819 |
|
|
10.000000000000000 },
|
4820 |
|
|
};
|
4821 |
|
|
|
4822 |
|
|
// Test function for a=20.000000000000000, c=5.0000000000000000.
|
4823 |
|
|
template <typename Tp>
|
4824 |
|
|
void test065()
|
4825 |
|
|
{
|
4826 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4827 |
|
|
Tp max_abs_diff = -Tp(1);
|
4828 |
|
|
Tp max_abs_frac = -Tp(1);
|
4829 |
|
|
unsigned int num_datum = sizeof(data065)
|
4830 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4831 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4832 |
|
|
{
|
4833 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data065[i].a), Tp(data065[i].c),
|
4834 |
|
|
Tp(data065[i].x));
|
4835 |
|
|
const Tp f0 = data065[i].f0;
|
4836 |
|
|
const Tp diff = f - f0;
|
4837 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4838 |
|
|
max_abs_diff = std::abs(diff);
|
4839 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4840 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4841 |
|
|
{
|
4842 |
|
|
const Tp frac = diff / f0;
|
4843 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4844 |
|
|
max_abs_frac = std::abs(frac);
|
4845 |
|
|
}
|
4846 |
|
|
}
|
4847 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000005e-07));
|
4848 |
|
|
}
|
4849 |
|
|
|
4850 |
|
|
// Test data for a=20.000000000000000, c=6.0000000000000000.
|
4851 |
|
|
testcase_conf_hyperg<double> data066[] = {
|
4852 |
|
|
{ -1.9022359545309947e-08, 20.000000000000000, 6.0000000000000000,
|
4853 |
|
|
-10.000000000000000 },
|
4854 |
|
|
{ -7.4533809656234677e-07, 20.000000000000000, 6.0000000000000000,
|
4855 |
|
|
-9.0000000000000000 },
|
4856 |
|
|
{ -9.7852420358724059e-07, 20.000000000000000, 6.0000000000000000,
|
4857 |
|
|
-8.0000000000000000 },
|
4858 |
|
|
{ 3.0181569866746340e-06, 20.000000000000000, 6.0000000000000000,
|
4859 |
|
|
-7.0000000000000000 },
|
4860 |
|
|
{ 7.9816910701457280e-06, 20.000000000000000, 6.0000000000000000,
|
4861 |
|
|
-6.0000000000000000 },
|
4862 |
|
|
{ -2.0133163153966078e-05, 20.000000000000000, 6.0000000000000000,
|
4863 |
|
|
-5.0000000000000000 },
|
4864 |
|
|
{ -4.7462368393259678e-05, 20.000000000000000, 6.0000000000000000,
|
4865 |
|
|
-4.0000000000000000 },
|
4866 |
|
|
{ 0.00031910869938964821, 20.000000000000000, 6.0000000000000000,
|
4867 |
|
|
-3.0000000000000000 },
|
4868 |
|
|
{ -0.0010380528468056445, 20.000000000000000, 6.0000000000000000,
|
4869 |
|
|
-2.0000000000000000 },
|
4870 |
|
|
{ 0.0084752097558651162, 20.000000000000000, 6.0000000000000000,
|
4871 |
|
|
-1.0000000000000000 },
|
4872 |
|
|
{ 1.0000000000000000, 20.000000000000000, 6.0000000000000000,
|
4873 |
|
|
0.0000000000000000 },
|
4874 |
|
|
{ 19.002159564861387, 20.000000000000000, 6.0000000000000000,
|
4875 |
|
|
1.0000000000000000 },
|
4876 |
|
|
{ 229.93981298721295, 20.000000000000000, 6.0000000000000000,
|
4877 |
|
|
2.0000000000000000 },
|
4878 |
|
|
{ 2180.3120758940981, 20.000000000000000, 6.0000000000000000,
|
4879 |
|
|
3.0000000000000000 },
|
4880 |
|
|
{ 17610.732510305290, 20.000000000000000, 6.0000000000000000,
|
4881 |
|
|
4.0000000000000000 },
|
4882 |
|
|
{ 126633.20907014773, 20.000000000000000, 6.0000000000000000,
|
4883 |
|
|
5.0000000000000000 },
|
4884 |
|
|
{ 832692.83016874129, 20.000000000000000, 6.0000000000000000,
|
4885 |
|
|
6.0000000000000000 },
|
4886 |
|
|
{ 5097225.0940651651, 20.000000000000000, 6.0000000000000000,
|
4887 |
|
|
7.0000000000000000 },
|
4888 |
|
|
{ 29414585.342530537, 20.000000000000000, 6.0000000000000000,
|
4889 |
|
|
8.0000000000000000 },
|
4890 |
|
|
{ 161513229.88138971, 20.000000000000000, 6.0000000000000000,
|
4891 |
|
|
9.0000000000000000 },
|
4892 |
|
|
{ 849871092.10959554, 20.000000000000000, 6.0000000000000000,
|
4893 |
|
|
10.000000000000000 },
|
4894 |
|
|
};
|
4895 |
|
|
|
4896 |
|
|
// Test function for a=20.000000000000000, c=6.0000000000000000.
|
4897 |
|
|
template <typename Tp>
|
4898 |
|
|
void test066()
|
4899 |
|
|
{
|
4900 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4901 |
|
|
Tp max_abs_diff = -Tp(1);
|
4902 |
|
|
Tp max_abs_frac = -Tp(1);
|
4903 |
|
|
unsigned int num_datum = sizeof(data066)
|
4904 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4905 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4906 |
|
|
{
|
4907 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data066[i].a), Tp(data066[i].c),
|
4908 |
|
|
Tp(data066[i].x));
|
4909 |
|
|
const Tp f0 = data066[i].f0;
|
4910 |
|
|
const Tp diff = f - f0;
|
4911 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4912 |
|
|
max_abs_diff = std::abs(diff);
|
4913 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4914 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4915 |
|
|
{
|
4916 |
|
|
const Tp frac = diff / f0;
|
4917 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4918 |
|
|
max_abs_frac = std::abs(frac);
|
4919 |
|
|
}
|
4920 |
|
|
}
|
4921 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000019e-07));
|
4922 |
|
|
}
|
4923 |
|
|
|
4924 |
|
|
// Test data for a=20.000000000000000, c=7.0000000000000000.
|
4925 |
|
|
testcase_conf_hyperg<double> data067[] = {
|
4926 |
|
|
{ -1.7754301607387143e-07, 20.000000000000000, 7.0000000000000000,
|
4927 |
|
|
-10.000000000000000 },
|
4928 |
|
|
{ -6.2128605089471174e-08, 20.000000000000000, 7.0000000000000000,
|
4929 |
|
|
-9.0000000000000000 },
|
4930 |
|
|
{ 9.1338873372533148e-07, 20.000000000000000, 7.0000000000000000,
|
4931 |
|
|
-8.0000000000000000 },
|
4932 |
|
|
{ 1.6657400269273180e-06, 20.000000000000000, 7.0000000000000000,
|
4933 |
|
|
-7.0000000000000000 },
|
4934 |
|
|
{ -4.7904165143355465e-06, 20.000000000000000, 7.0000000000000000,
|
4935 |
|
|
-6.0000000000000000 },
|
4936 |
|
|
{ -1.5503088351319615e-05, 20.000000000000000, 7.0000000000000000,
|
4937 |
|
|
-5.0000000000000000 },
|
4938 |
|
|
{ 5.6425108496954350e-05, 20.000000000000000, 7.0000000000000000,
|
4939 |
|
|
-4.0000000000000000 },
|
4940 |
|
|
{ 9.1083552345479015e-05, 20.000000000000000, 7.0000000000000000,
|
4941 |
|
|
-3.0000000000000000 },
|
4942 |
|
|
{ -0.0018058773247853399, 20.000000000000000, 7.0000000000000000,
|
4943 |
|
|
-2.0000000000000000 },
|
4944 |
|
|
{ 0.032850147696977763, 20.000000000000000, 7.0000000000000000,
|
4945 |
|
|
-1.0000000000000000 },
|
4946 |
|
|
{ 1.0000000000000000, 20.000000000000000, 7.0000000000000000,
|
4947 |
|
|
0.0000000000000000 },
|
4948 |
|
|
{ 13.551527852090816, 20.000000000000000, 7.0000000000000000,
|
4949 |
|
|
1.0000000000000000 },
|
4950 |
|
|
{ 133.23579819973102, 20.000000000000000, 7.0000000000000000,
|
4951 |
|
|
2.0000000000000000 },
|
4952 |
|
|
{ 1083.6769250393436, 20.000000000000000, 7.0000000000000000,
|
4953 |
|
|
3.0000000000000000 },
|
4954 |
|
|
{ 7739.1410905637622, 20.000000000000000, 7.0000000000000000,
|
4955 |
|
|
4.0000000000000000 },
|
4956 |
|
|
{ 50175.328973240226, 20.000000000000000, 7.0000000000000000,
|
4957 |
|
|
5.0000000000000000 },
|
4958 |
|
|
{ 301599.46814102860, 20.000000000000000, 7.0000000000000000,
|
4959 |
|
|
6.0000000000000000 },
|
4960 |
|
|
{ 1705051.1866143674, 20.000000000000000, 7.0000000000000000,
|
4961 |
|
|
7.0000000000000000 },
|
4962 |
|
|
{ 9159788.2353733126, 20.000000000000000, 7.0000000000000000,
|
4963 |
|
|
8.0000000000000000 },
|
4964 |
|
|
{ 47122070.398665302, 20.000000000000000, 7.0000000000000000,
|
4965 |
|
|
9.0000000000000000 },
|
4966 |
|
|
{ 233529421.53991729, 20.000000000000000, 7.0000000000000000,
|
4967 |
|
|
10.000000000000000 },
|
4968 |
|
|
};
|
4969 |
|
|
|
4970 |
|
|
// Test function for a=20.000000000000000, c=7.0000000000000000.
|
4971 |
|
|
template <typename Tp>
|
4972 |
|
|
void test067()
|
4973 |
|
|
{
|
4974 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
4975 |
|
|
Tp max_abs_diff = -Tp(1);
|
4976 |
|
|
Tp max_abs_frac = -Tp(1);
|
4977 |
|
|
unsigned int num_datum = sizeof(data067)
|
4978 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
4979 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
4980 |
|
|
{
|
4981 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data067[i].a), Tp(data067[i].c),
|
4982 |
|
|
Tp(data067[i].x));
|
4983 |
|
|
const Tp f0 = data067[i].f0;
|
4984 |
|
|
const Tp diff = f - f0;
|
4985 |
|
|
if (std::abs(diff) > max_abs_diff)
|
4986 |
|
|
max_abs_diff = std::abs(diff);
|
4987 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
4988 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
4989 |
|
|
{
|
4990 |
|
|
const Tp frac = diff / f0;
|
4991 |
|
|
if (std::abs(frac) > max_abs_frac)
|
4992 |
|
|
max_abs_frac = std::abs(frac);
|
4993 |
|
|
}
|
4994 |
|
|
}
|
4995 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000009e-07));
|
4996 |
|
|
}
|
4997 |
|
|
|
4998 |
|
|
// Test data for a=20.000000000000000, c=8.0000000000000000.
|
4999 |
|
|
testcase_conf_hyperg<double> data068[] = {
|
5000 |
|
|
{ 4.4385719622857060e-08, 20.000000000000000, 8.0000000000000000,
|
5001 |
|
|
-10.000000000000000 },
|
5002 |
|
|
{ 2.7870855352561929e-07, 20.000000000000000, 8.0000000000000000,
|
5003 |
|
|
-9.0000000000000000 },
|
5004 |
|
|
{ 2.7221706037028333e-07, 20.000000000000000, 8.0000000000000000,
|
5005 |
|
|
-8.0000000000000000 },
|
5006 |
|
|
{ -1.5211293805365477e-06, 20.000000000000000, 8.0000000000000000,
|
5007 |
|
|
-7.0000000000000000 },
|
5008 |
|
|
{ -4.2978336531553922e-06, 20.000000000000000, 8.0000000000000000,
|
5009 |
|
|
-6.0000000000000000 },
|
5010 |
|
|
{ 1.1339557446266738e-05, 20.000000000000000, 8.0000000000000000,
|
5011 |
|
|
-5.0000000000000000 },
|
5012 |
|
|
{ 5.3526365220658982e-05, 20.000000000000000, 8.0000000000000000,
|
5013 |
|
|
-4.0000000000000000 },
|
5014 |
|
|
{ -0.00029461053269513242, 20.000000000000000, 8.0000000000000000,
|
5015 |
|
|
-3.0000000000000000 },
|
5016 |
|
|
{ -0.00026793636646740187, 20.000000000000000, 8.0000000000000000,
|
5017 |
|
|
-2.0000000000000000 },
|
5018 |
|
|
{ 0.061061258434452835, 20.000000000000000, 8.0000000000000000,
|
5019 |
|
|
-1.0000000000000000 },
|
5020 |
|
|
{ 1.0000000000000000, 20.000000000000000, 8.0000000000000000,
|
5021 |
|
|
0.0000000000000000 },
|
5022 |
|
|
{ 10.312756690132913, 20.000000000000000, 8.0000000000000000,
|
5023 |
|
|
1.0000000000000000 },
|
5024 |
|
|
{ 84.471824856846425, 20.000000000000000, 8.0000000000000000,
|
5025 |
|
|
2.0000000000000000 },
|
5026 |
|
|
{ 597.47335666854985, 20.000000000000000, 8.0000000000000000,
|
5027 |
|
|
3.0000000000000000 },
|
5028 |
|
|
{ 3805.9786364107408, 20.000000000000000, 8.0000000000000000,
|
5029 |
|
|
4.0000000000000000 },
|
5030 |
|
|
{ 22386.068461641658, 20.000000000000000, 8.0000000000000000,
|
5031 |
|
|
5.0000000000000000 },
|
5032 |
|
|
{ 123573.63516975302, 20.000000000000000, 8.0000000000000000,
|
5033 |
|
|
6.0000000000000000 },
|
5034 |
|
|
{ 647514.24141570868, 20.000000000000000, 8.0000000000000000,
|
5035 |
|
|
7.0000000000000000 },
|
5036 |
|
|
{ 3247628.2434586394, 20.000000000000000, 8.0000000000000000,
|
5037 |
|
|
8.0000000000000000 },
|
5038 |
|
|
{ 15690070.625286423, 20.000000000000000, 8.0000000000000000,
|
5039 |
|
|
9.0000000000000000 },
|
5040 |
|
|
{ 73379158.893325061, 20.000000000000000, 8.0000000000000000,
|
5041 |
|
|
10.000000000000000 },
|
5042 |
|
|
};
|
5043 |
|
|
|
5044 |
|
|
// Test function for a=20.000000000000000, c=8.0000000000000000.
|
5045 |
|
|
template <typename Tp>
|
5046 |
|
|
void test068()
|
5047 |
|
|
{
|
5048 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
5049 |
|
|
Tp max_abs_diff = -Tp(1);
|
5050 |
|
|
Tp max_abs_frac = -Tp(1);
|
5051 |
|
|
unsigned int num_datum = sizeof(data068)
|
5052 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
5053 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
5054 |
|
|
{
|
5055 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data068[i].a), Tp(data068[i].c),
|
5056 |
|
|
Tp(data068[i].x));
|
5057 |
|
|
const Tp f0 = data068[i].f0;
|
5058 |
|
|
const Tp diff = f - f0;
|
5059 |
|
|
if (std::abs(diff) > max_abs_diff)
|
5060 |
|
|
max_abs_diff = std::abs(diff);
|
5061 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
5062 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
5063 |
|
|
{
|
5064 |
|
|
const Tp frac = diff / f0;
|
5065 |
|
|
if (std::abs(frac) > max_abs_frac)
|
5066 |
|
|
max_abs_frac = std::abs(frac);
|
5067 |
|
|
}
|
5068 |
|
|
}
|
5069 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000005e-07));
|
5070 |
|
|
}
|
5071 |
|
|
|
5072 |
|
|
// Test data for a=20.000000000000000, c=9.0000000000000000.
|
5073 |
|
|
testcase_conf_hyperg<double> data069[] = {
|
5074 |
|
|
{ 7.3976263576568592e-08, 20.000000000000000, 9.0000000000000000,
|
5075 |
|
|
-10.000000000000000 },
|
5076 |
|
|
{ -9.0753238092548416e-09, 20.000000000000000, 9.0000000000000000,
|
5077 |
|
|
-9.0000000000000000 },
|
5078 |
|
|
{ -5.5549484970396693e-07, 20.000000000000000, 9.0000000000000000,
|
5079 |
|
|
-8.0000000000000000 },
|
5080 |
|
|
{ -1.1104933512848787e-06, 20.000000000000000, 9.0000000000000000,
|
5081 |
|
|
-7.0000000000000000 },
|
5082 |
|
|
{ 3.2483424385770483e-06, 20.000000000000000, 9.0000000000000000,
|
5083 |
|
|
-6.0000000000000000 },
|
5084 |
|
|
{ 1.7493431113569438e-05, 20.000000000000000, 9.0000000000000000,
|
5085 |
|
|
-5.0000000000000000 },
|
5086 |
|
|
{ -3.9066110636117253e-05, 20.000000000000000, 9.0000000000000000,
|
5087 |
|
|
-4.0000000000000000 },
|
5088 |
|
|
{ -0.00040356155493308509, 20.000000000000000, 9.0000000000000000,
|
5089 |
|
|
-3.0000000000000000 },
|
5090 |
|
|
{ 0.0037671531470534567, 20.000000000000000, 9.0000000000000000,
|
5091 |
|
|
-2.0000000000000000 },
|
5092 |
|
|
{ 0.090944344485248449, 20.000000000000000, 9.0000000000000000,
|
5093 |
|
|
-1.0000000000000000 },
|
5094 |
|
|
{ 1.0000000000000000, 20.000000000000000, 9.0000000000000000,
|
5095 |
|
|
0.0000000000000000 },
|
5096 |
|
|
{ 8.2390942957149722, 20.000000000000000, 9.0000000000000000,
|
5097 |
|
|
1.0000000000000000 },
|
5098 |
|
|
{ 57.468054562166706, 20.000000000000000, 9.0000000000000000,
|
5099 |
|
|
2.0000000000000000 },
|
5100 |
|
|
{ 358.00109079775746, 20.000000000000000, 9.0000000000000000,
|
5101 |
|
|
3.0000000000000000 },
|
5102 |
|
|
{ 2051.3704389046998, 20.000000000000000, 9.0000000000000000,
|
5103 |
|
|
4.0000000000000000 },
|
5104 |
|
|
{ 11012.597503064211, 20.000000000000000, 9.0000000000000000,
|
5105 |
|
|
5.0000000000000000 },
|
5106 |
|
|
{ 56082.113308934473, 20.000000000000000, 9.0000000000000000,
|
5107 |
|
|
6.0000000000000000 },
|
5108 |
|
|
{ 273348.46918863337, 20.000000000000000, 9.0000000000000000,
|
5109 |
|
|
7.0000000000000000 },
|
5110 |
|
|
{ 1283674.4996444662, 20.000000000000000, 9.0000000000000000,
|
5111 |
|
|
8.0000000000000000 },
|
5112 |
|
|
{ 5838026.8730425332, 20.000000000000000, 9.0000000000000000,
|
5113 |
|
|
9.0000000000000000 },
|
5114 |
|
|
{ 25817349.972859707, 20.000000000000000, 9.0000000000000000,
|
5115 |
|
|
10.000000000000000 },
|
5116 |
|
|
};
|
5117 |
|
|
|
5118 |
|
|
// Test function for a=20.000000000000000, c=9.0000000000000000.
|
5119 |
|
|
template <typename Tp>
|
5120 |
|
|
void test069()
|
5121 |
|
|
{
|
5122 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
5123 |
|
|
Tp max_abs_diff = -Tp(1);
|
5124 |
|
|
Tp max_abs_frac = -Tp(1);
|
5125 |
|
|
unsigned int num_datum = sizeof(data069)
|
5126 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
5127 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
5128 |
|
|
{
|
5129 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data069[i].a), Tp(data069[i].c),
|
5130 |
|
|
Tp(data069[i].x));
|
5131 |
|
|
const Tp f0 = data069[i].f0;
|
5132 |
|
|
const Tp diff = f - f0;
|
5133 |
|
|
if (std::abs(diff) > max_abs_diff)
|
5134 |
|
|
max_abs_diff = std::abs(diff);
|
5135 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
5136 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
5137 |
|
|
{
|
5138 |
|
|
const Tp frac = diff / f0;
|
5139 |
|
|
if (std::abs(frac) > max_abs_frac)
|
5140 |
|
|
max_abs_frac = std::abs(frac);
|
5141 |
|
|
}
|
5142 |
|
|
}
|
5143 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000004e-06));
|
5144 |
|
|
}
|
5145 |
|
|
|
5146 |
|
|
// Test data for a=20.000000000000000, c=10.000000000000000.
|
5147 |
|
|
testcase_conf_hyperg<double> data070[] = {
|
5148 |
|
|
{ -4.1157677792944940e-08, 20.000000000000000, 10.000000000000000,
|
5149 |
|
|
-10.000000000000000 },
|
5150 |
|
|
{ -2.0187210039960906e-07, 20.000000000000000, 10.000000000000000,
|
5151 |
|
|
-9.0000000000000000 },
|
5152 |
|
|
{ -2.2272304939386817e-07, 20.000000000000000, 10.000000000000000,
|
5153 |
|
|
-8.0000000000000000 },
|
5154 |
|
|
{ 1.2925568212606171e-06, 20.000000000000000, 10.000000000000000,
|
5155 |
|
|
-7.0000000000000000 },
|
5156 |
|
|
{ 5.5744573775996227e-06, 20.000000000000000, 10.000000000000000,
|
5157 |
|
|
-6.0000000000000000 },
|
5158 |
|
|
{ -6.2568272011787340e-06, 20.000000000000000, 10.000000000000000,
|
5159 |
|
|
-5.0000000000000000 },
|
5160 |
|
|
{ -0.00011955177906335608, 20.000000000000000, 10.000000000000000,
|
5161 |
|
|
-4.0000000000000000 },
|
5162 |
|
|
{ 9.2475405516991078e-05, 20.000000000000000, 10.000000000000000,
|
5163 |
|
|
-3.0000000000000000 },
|
5164 |
|
|
{ 0.010123531287569982, 20.000000000000000, 10.000000000000000,
|
5165 |
|
|
-2.0000000000000000 },
|
5166 |
|
|
{ 0.12118937229909535, 20.000000000000000, 10.000000000000000,
|
5167 |
|
|
-1.0000000000000000 },
|
5168 |
|
|
{ 1.0000000000000000, 20.000000000000000, 10.000000000000000,
|
5169 |
|
|
0.0000000000000000 },
|
5170 |
|
|
{ 6.8319857942415494, 20.000000000000000, 10.000000000000000,
|
5171 |
|
|
1.0000000000000000 },
|
5172 |
|
|
{ 41.356658140815220, 20.000000000000000, 10.000000000000000,
|
5173 |
|
|
2.0000000000000000 },
|
5174 |
|
|
{ 229.57496033810907, 20.000000000000000, 10.000000000000000,
|
5175 |
|
|
3.0000000000000000 },
|
5176 |
|
|
{ 1192.7830549969506, 20.000000000000000, 10.000000000000000,
|
5177 |
|
|
4.0000000000000000 },
|
5178 |
|
|
{ 5878.6003887215920, 20.000000000000000, 10.000000000000000,
|
5179 |
|
|
5.0000000000000000 },
|
5180 |
|
|
{ 27741.749322673899, 20.000000000000000, 10.000000000000000,
|
5181 |
|
|
6.0000000000000000 },
|
5182 |
|
|
{ 126220.54599305884, 20.000000000000000, 10.000000000000000,
|
5183 |
|
|
7.0000000000000000 },
|
5184 |
|
|
{ 556592.10886612453, 20.000000000000000, 10.000000000000000,
|
5185 |
|
|
8.0000000000000000 },
|
5186 |
|
|
{ 2388555.2873243922, 20.000000000000000, 10.000000000000000,
|
5187 |
|
|
9.0000000000000000 },
|
5188 |
|
|
{ 10008079.497419352, 20.000000000000000, 10.000000000000000,
|
5189 |
|
|
10.000000000000000 },
|
5190 |
|
|
};
|
5191 |
|
|
|
5192 |
|
|
// Test function for a=20.000000000000000, c=10.000000000000000.
|
5193 |
|
|
template <typename Tp>
|
5194 |
|
|
void test070()
|
5195 |
|
|
{
|
5196 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
5197 |
|
|
Tp max_abs_diff = -Tp(1);
|
5198 |
|
|
Tp max_abs_frac = -Tp(1);
|
5199 |
|
|
unsigned int num_datum = sizeof(data070)
|
5200 |
|
|
/ sizeof(testcase_conf_hyperg<double>);
|
5201 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
5202 |
|
|
{
|
5203 |
|
|
const Tp f = std::tr1::conf_hyperg(Tp(data070[i].a), Tp(data070[i].c),
|
5204 |
|
|
Tp(data070[i].x));
|
5205 |
|
|
const Tp f0 = data070[i].f0;
|
5206 |
|
|
const Tp diff = f - f0;
|
5207 |
|
|
if (std::abs(diff) > max_abs_diff)
|
5208 |
|
|
max_abs_diff = std::abs(diff);
|
5209 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
5210 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
5211 |
|
|
{
|
5212 |
|
|
const Tp frac = diff / f0;
|
5213 |
|
|
if (std::abs(frac) > max_abs_frac)
|
5214 |
|
|
max_abs_frac = std::abs(frac);
|
5215 |
|
|
}
|
5216 |
|
|
}
|
5217 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000009e-07));
|
5218 |
|
|
}
|
5219 |
|
|
|
5220 |
|
|
int main(int, char**)
|
5221 |
|
|
{
|
5222 |
|
|
test001<double>();
|
5223 |
|
|
test002<double>();
|
5224 |
|
|
test003<double>();
|
5225 |
|
|
test004<double>();
|
5226 |
|
|
test005<double>();
|
5227 |
|
|
test006<double>();
|
5228 |
|
|
test007<double>();
|
5229 |
|
|
test008<double>();
|
5230 |
|
|
test009<double>();
|
5231 |
|
|
test010<double>();
|
5232 |
|
|
test011<double>();
|
5233 |
|
|
test012<double>();
|
5234 |
|
|
test013<double>();
|
5235 |
|
|
test014<double>();
|
5236 |
|
|
test015<double>();
|
5237 |
|
|
test016<double>();
|
5238 |
|
|
test017<double>();
|
5239 |
|
|
test018<double>();
|
5240 |
|
|
test019<double>();
|
5241 |
|
|
test020<double>();
|
5242 |
|
|
test021<double>();
|
5243 |
|
|
test022<double>();
|
5244 |
|
|
test023<double>();
|
5245 |
|
|
test024<double>();
|
5246 |
|
|
test025<double>();
|
5247 |
|
|
test026<double>();
|
5248 |
|
|
test027<double>();
|
5249 |
|
|
test028<double>();
|
5250 |
|
|
test029<double>();
|
5251 |
|
|
test030<double>();
|
5252 |
|
|
test031<double>();
|
5253 |
|
|
test032<double>();
|
5254 |
|
|
test033<double>();
|
5255 |
|
|
test034<double>();
|
5256 |
|
|
test035<double>();
|
5257 |
|
|
test036<double>();
|
5258 |
|
|
test037<double>();
|
5259 |
|
|
test038<double>();
|
5260 |
|
|
test039<double>();
|
5261 |
|
|
test040<double>();
|
5262 |
|
|
test041<double>();
|
5263 |
|
|
test042<double>();
|
5264 |
|
|
test043<double>();
|
5265 |
|
|
test044<double>();
|
5266 |
|
|
test045<double>();
|
5267 |
|
|
test046<double>();
|
5268 |
|
|
test047<double>();
|
5269 |
|
|
test048<double>();
|
5270 |
|
|
test049<double>();
|
5271 |
|
|
test050<double>();
|
5272 |
|
|
test051<double>();
|
5273 |
|
|
test052<double>();
|
5274 |
|
|
test053<double>();
|
5275 |
|
|
test054<double>();
|
5276 |
|
|
test055<double>();
|
5277 |
|
|
test056<double>();
|
5278 |
|
|
test057<double>();
|
5279 |
|
|
test058<double>();
|
5280 |
|
|
test059<double>();
|
5281 |
|
|
test060<double>();
|
5282 |
|
|
test061<double>();
|
5283 |
|
|
test062<double>();
|
5284 |
|
|
test063<double>();
|
5285 |
|
|
test064<double>();
|
5286 |
|
|
test065<double>();
|
5287 |
|
|
test066<double>();
|
5288 |
|
|
test067<double>();
|
5289 |
|
|
test068<double>();
|
5290 |
|
|
test069<double>();
|
5291 |
|
|
test070<double>();
|
5292 |
|
|
return 0;
|
5293 |
|
|
}
|