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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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// beta
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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 x=10.000000000000000.
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testcase_beta<double> data001[] = {
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{ 1.0825088224469029e-06, 10.000000000000000, 10.000000000000000 },
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{ 4.9925087406346778e-09, 10.000000000000000, 20.000000000000000 },
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{ 1.5729567312509485e-10, 10.000000000000000, 30.000000000000000 },
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{ 1.2168673582561288e-11, 10.000000000000000, 40.000000000000000 },
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{ 1.5916380099863291e-12, 10.000000000000000, 50.000000000000000 },
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{ 2.9408957938463963e-13, 10.000000000000000, 60.000000000000000 },
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{ 6.9411637980691676e-14, 10.000000000000000, 70.000000000000000 },
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{ 1.9665612972502651e-14, 10.000000000000000, 80.000000000000000 },
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{ 6.4187824828154399e-15, 10.000000000000000, 90.000000000000000 },
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{ 2.3455339739604842e-15, 10.000000000000000, 100.00000000000000 },
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};
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// Test function for x=10.000000000000000.
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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_beta<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::beta(Tp(data001[i].x), Tp(data001[i].y));
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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(5.0000000000000029e-12));
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}
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// Test data for x=20.000000000000000.
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testcase_beta<double> data002[] = {
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{ 4.9925087406346778e-09, 20.000000000000000, 10.000000000000000 },
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{ 7.2544445519248436e-13, 20.000000000000000, 20.000000000000000 },
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{ 1.7681885473062028e-15, 20.000000000000000, 30.000000000000000 },
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{ 1.7891885039182335e-17, 20.000000000000000, 40.000000000000000 },
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{ 4.3240677875623635e-19, 20.000000000000000, 50.000000000000000 },
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{ 1.8857342309689050e-20, 20.000000000000000, 60.000000000000000 },
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{ 1.2609804003539998e-21, 20.000000000000000, 70.000000000000000 },
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{ 1.1660809542079041e-22, 20.000000000000000, 80.000000000000000 },
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{ 1.3907944279729071e-23, 20.000000000000000, 90.000000000000000 },
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{ 2.0365059099917614e-24, 20.000000000000000, 100.00000000000000 },
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};
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// Test function for x=20.000000000000000.
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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_beta<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::beta(Tp(data002[i].x), Tp(data002[i].y));
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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 x=30.000000000000000.
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testcase_beta<double> data003[] = {
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{ 1.5729567312509485e-10, 30.000000000000000, 10.000000000000000 },
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{ 1.7681885473062028e-15, 30.000000000000000, 20.000000000000000 },
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{ 5.6370779640482451e-19, 30.000000000000000, 30.000000000000000 },
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{ 1.0539424603796547e-21, 30.000000000000000, 40.000000000000000 },
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{ 6.0118197777273836e-24, 30.000000000000000, 50.000000000000000 },
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{ 7.4279528553260165e-26, 30.000000000000000, 60.000000000000000 },
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{ 1.6212207780604767e-27, 30.000000000000000, 70.000000000000000 },
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{ 5.4783729715317616e-29, 30.000000000000000, 80.000000000000000 },
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{ 2.6183005659681346e-30, 30.000000000000000, 90.000000000000000 },
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{ 1.6587948222122229e-31, 30.000000000000000, 100.00000000000000 },
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};
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// Test function for x=30.000000000000000.
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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_beta<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::beta(Tp(data003[i].x), Tp(data003[i].y));
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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(5.0000000000000039e-13));
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}
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// Test data for x=40.000000000000000.
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testcase_beta<double> data004[] = {
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{ 1.2168673582561288e-11, 40.000000000000000, 10.000000000000000 },
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{ 1.7891885039182335e-17, 40.000000000000000, 20.000000000000000 },
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{ 1.0539424603796547e-21, 40.000000000000000, 30.000000000000000 },
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{ 4.6508509140090659e-25, 40.000000000000000, 40.000000000000000 },
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{ 7.5161712118557719e-28, 40.000000000000000, 50.000000000000000 },
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{ 3.0311331979886071e-30, 40.000000000000000, 60.000000000000000 },
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{ 2.4175035070466313e-32, 40.000000000000000, 70.000000000000000 },
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{ 3.2734839142758369e-34, 40.000000000000000, 80.000000000000000 },
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{ 6.7690629601315579e-36, 40.000000000000000, 90.000000000000000 },
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{ 1.9797337118812366e-37, 40.000000000000000, 100.00000000000000 },
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};
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// Test function for x=40.000000000000000.
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template <typename Tp>
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void test004()
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{
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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unsigned int num_datum = sizeof(data004)
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/ sizeof(testcase_beta<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::beta(Tp(data004[i].x), Tp(data004[i].y));
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const Tp f0 = data004[i].f0;
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const Tp diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Tp(10) * eps
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&& std::abs(f) > Tp(10) * eps)
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{
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const Tp frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
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}
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// Test data for x=50.000000000000000.
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testcase_beta<double> data005[] = {
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{ 1.5916380099863291e-12, 50.000000000000000, 10.000000000000000 },
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{ 4.3240677875623635e-19, 50.000000000000000, 20.000000000000000 },
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{ 6.0118197777273836e-24, 50.000000000000000, 30.000000000000000 },
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{ 7.5161712118557719e-28, 50.000000000000000, 40.000000000000000 },
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{ 3.9646612085674138e-31, 50.000000000000000, 50.000000000000000 },
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{ 5.8425643906418403e-34, 50.000000000000000, 60.000000000000000 },
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{ 1.8672362180783552e-36, 50.000000000000000, 70.000000000000000 },
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{ 1.0939382296458962e-38, 50.000000000000000, 80.000000000000000 },
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{ 1.0442781609881063e-40, 50.000000000000000, 90.000000000000000 },
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{ 1.4904121110954370e-42, 50.000000000000000, 100.00000000000000 },
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};
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// Test function for x=50.000000000000000.
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template <typename Tp>
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void test005()
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{
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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unsigned int num_datum = sizeof(data005)
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/ sizeof(testcase_beta<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::beta(Tp(data005[i].x), Tp(data005[i].y));
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const Tp f0 = data005[i].f0;
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const Tp diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Tp(10) * eps
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&& std::abs(f) > Tp(10) * eps)
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{
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const Tp frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
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}
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// Test data for x=60.000000000000000.
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testcase_beta<double> data006[] = {
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{ 2.9408957938463963e-13, 60.000000000000000, 10.000000000000000 },
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{ 1.8857342309689050e-20, 60.000000000000000, 20.000000000000000 },
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{ 7.4279528553260165e-26, 60.000000000000000, 30.000000000000000 },
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{ 3.0311331979886071e-30, 60.000000000000000, 40.000000000000000 },
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{ 5.8425643906418403e-34, 60.000000000000000, 50.000000000000000 },
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{ 3.4501231469782229e-37, 60.000000000000000, 60.000000000000000 },
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{ 4.7706855386086599e-40, 60.000000000000000, 70.000000000000000 },
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{ 1.2902663809722593e-42, 60.000000000000000, 80.000000000000000 },
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{ 6.0105571058570508e-45, 60.000000000000000, 90.000000000000000 },
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{ 4.3922898898347209e-47, 60.000000000000000, 100.00000000000000 },
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};
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// Test function for x=60.000000000000000.
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template <typename Tp>
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void test006()
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{
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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Tp max_abs_diff = -Tp(1);
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Tp max_abs_frac = -Tp(1);
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unsigned int num_datum = sizeof(data006)
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/ sizeof(testcase_beta<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::beta(Tp(data006[i].x), Tp(data006[i].y));
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const Tp f0 = data006[i].f0;
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const Tp diff = f - f0;
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if (std::abs(diff) > max_abs_diff)
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max_abs_diff = std::abs(diff);
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if (std::abs(f0) > Tp(10) * eps
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&& std::abs(f) > Tp(10) * eps)
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{
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const Tp frac = diff / f0;
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if (std::abs(frac) > max_abs_frac)
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max_abs_frac = std::abs(frac);
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}
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}
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VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
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}
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// Test data for x=70.000000000000000.
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testcase_beta<double> data007[] = {
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{ 6.9411637980691676e-14, 70.000000000000000, 10.000000000000000 },
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{ 1.2609804003539998e-21, 70.000000000000000, 20.000000000000000 },
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{ 1.6212207780604767e-27, 70.000000000000000, 30.000000000000000 },
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{ 2.4175035070466313e-32, 70.000000000000000, 40.000000000000000 },
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{ 1.8672362180783552e-36, 70.000000000000000, 50.000000000000000 },
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{ 4.7706855386086599e-40, 70.000000000000000, 60.000000000000000 },
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296 |
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|
{ 3.0453137143486369e-43, 70.000000000000000, 70.000000000000000 },
|
297 |
|
|
{ 4.0192274082013779e-46, 70.000000000000000, 80.000000000000000 },
|
298 |
|
|
{ 9.5865870063501807e-49, 70.000000000000000, 90.000000000000000 },
|
299 |
|
|
{ 3.7409127305819802e-51, 70.000000000000000, 100.00000000000000 },
|
300 |
|
|
};
|
301 |
|
|
|
302 |
|
|
// Test function for x=70.000000000000000.
|
303 |
|
|
template <typename Tp>
|
304 |
|
|
void test007()
|
305 |
|
|
{
|
306 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
307 |
|
|
Tp max_abs_diff = -Tp(1);
|
308 |
|
|
Tp max_abs_frac = -Tp(1);
|
309 |
|
|
unsigned int num_datum = sizeof(data007)
|
310 |
|
|
/ sizeof(testcase_beta<double>);
|
311 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
312 |
|
|
{
|
313 |
|
|
const Tp f = std::tr1::beta(Tp(data007[i].x), Tp(data007[i].y));
|
314 |
|
|
const Tp f0 = data007[i].f0;
|
315 |
|
|
const Tp diff = f - f0;
|
316 |
|
|
if (std::abs(diff) > max_abs_diff)
|
317 |
|
|
max_abs_diff = std::abs(diff);
|
318 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
319 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
320 |
|
|
{
|
321 |
|
|
const Tp frac = diff / f0;
|
322 |
|
|
if (std::abs(frac) > max_abs_frac)
|
323 |
|
|
max_abs_frac = std::abs(frac);
|
324 |
|
|
}
|
325 |
|
|
}
|
326 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
327 |
|
|
}
|
328 |
|
|
|
329 |
|
|
// Test data for x=80.000000000000000.
|
330 |
|
|
testcase_beta<double> data008[] = {
|
331 |
|
|
{ 1.9665612972502651e-14, 80.000000000000000, 10.000000000000000 },
|
332 |
|
|
{ 1.1660809542079041e-22, 80.000000000000000, 20.000000000000000 },
|
333 |
|
|
{ 5.4783729715317616e-29, 80.000000000000000, 30.000000000000000 },
|
334 |
|
|
{ 3.2734839142758369e-34, 80.000000000000000, 40.000000000000000 },
|
335 |
|
|
{ 1.0939382296458962e-38, 80.000000000000000, 50.000000000000000 },
|
336 |
|
|
{ 1.2902663809722593e-42, 80.000000000000000, 60.000000000000000 },
|
337 |
|
|
{ 4.0192274082013779e-46, 80.000000000000000, 70.000000000000000 },
|
338 |
|
|
{ 2.7160590828669411e-49, 80.000000000000000, 80.000000000000000 },
|
339 |
|
|
{ 3.4593773902125368e-52, 80.000000000000000, 90.000000000000000 },
|
340 |
|
|
{ 7.4807039968503468e-55, 80.000000000000000, 100.00000000000000 },
|
341 |
|
|
};
|
342 |
|
|
|
343 |
|
|
// Test function for x=80.000000000000000.
|
344 |
|
|
template <typename Tp>
|
345 |
|
|
void test008()
|
346 |
|
|
{
|
347 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
348 |
|
|
Tp max_abs_diff = -Tp(1);
|
349 |
|
|
Tp max_abs_frac = -Tp(1);
|
350 |
|
|
unsigned int num_datum = sizeof(data008)
|
351 |
|
|
/ sizeof(testcase_beta<double>);
|
352 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
353 |
|
|
{
|
354 |
|
|
const Tp f = std::tr1::beta(Tp(data008[i].x), Tp(data008[i].y));
|
355 |
|
|
const Tp f0 = data008[i].f0;
|
356 |
|
|
const Tp diff = f - f0;
|
357 |
|
|
if (std::abs(diff) > max_abs_diff)
|
358 |
|
|
max_abs_diff = std::abs(diff);
|
359 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
360 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
361 |
|
|
{
|
362 |
|
|
const Tp frac = diff / f0;
|
363 |
|
|
if (std::abs(frac) > max_abs_frac)
|
364 |
|
|
max_abs_frac = std::abs(frac);
|
365 |
|
|
}
|
366 |
|
|
}
|
367 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000029e-12));
|
368 |
|
|
}
|
369 |
|
|
|
370 |
|
|
// Test data for x=90.000000000000000.
|
371 |
|
|
testcase_beta<double> data009[] = {
|
372 |
|
|
{ 6.4187824828154399e-15, 90.000000000000000, 10.000000000000000 },
|
373 |
|
|
{ 1.3907944279729071e-23, 90.000000000000000, 20.000000000000000 },
|
374 |
|
|
{ 2.6183005659681346e-30, 90.000000000000000, 30.000000000000000 },
|
375 |
|
|
{ 6.7690629601315579e-36, 90.000000000000000, 40.000000000000000 },
|
376 |
|
|
{ 1.0442781609881063e-40, 90.000000000000000, 50.000000000000000 },
|
377 |
|
|
{ 6.0105571058570508e-45, 90.000000000000000, 60.000000000000000 },
|
378 |
|
|
{ 9.5865870063501807e-49, 90.000000000000000, 70.000000000000000 },
|
379 |
|
|
{ 3.4593773902125368e-52, 90.000000000000000, 80.000000000000000 },
|
380 |
|
|
{ 2.4416737907558032e-55, 90.000000000000000, 90.000000000000000 },
|
381 |
|
|
{ 3.0238531916564246e-58, 90.000000000000000, 100.00000000000000 },
|
382 |
|
|
};
|
383 |
|
|
|
384 |
|
|
// Test function for x=90.000000000000000.
|
385 |
|
|
template <typename Tp>
|
386 |
|
|
void test009()
|
387 |
|
|
{
|
388 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
389 |
|
|
Tp max_abs_diff = -Tp(1);
|
390 |
|
|
Tp max_abs_frac = -Tp(1);
|
391 |
|
|
unsigned int num_datum = sizeof(data009)
|
392 |
|
|
/ sizeof(testcase_beta<double>);
|
393 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
394 |
|
|
{
|
395 |
|
|
const Tp f = std::tr1::beta(Tp(data009[i].x), Tp(data009[i].y));
|
396 |
|
|
const Tp f0 = data009[i].f0;
|
397 |
|
|
const Tp diff = f - f0;
|
398 |
|
|
if (std::abs(diff) > max_abs_diff)
|
399 |
|
|
max_abs_diff = std::abs(diff);
|
400 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
401 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
402 |
|
|
{
|
403 |
|
|
const Tp frac = diff / f0;
|
404 |
|
|
if (std::abs(frac) > max_abs_frac)
|
405 |
|
|
max_abs_frac = std::abs(frac);
|
406 |
|
|
}
|
407 |
|
|
}
|
408 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
409 |
|
|
}
|
410 |
|
|
|
411 |
|
|
// Test data for x=100.00000000000000.
|
412 |
|
|
testcase_beta<double> data010[] = {
|
413 |
|
|
{ 2.3455339739604842e-15, 100.00000000000000, 10.000000000000000 },
|
414 |
|
|
{ 2.0365059099917614e-24, 100.00000000000000, 20.000000000000000 },
|
415 |
|
|
{ 1.6587948222122229e-31, 100.00000000000000, 30.000000000000000 },
|
416 |
|
|
{ 1.9797337118812366e-37, 100.00000000000000, 40.000000000000000 },
|
417 |
|
|
{ 1.4904121110954370e-42, 100.00000000000000, 50.000000000000000 },
|
418 |
|
|
{ 4.3922898898347209e-47, 100.00000000000000, 60.000000000000000 },
|
419 |
|
|
{ 3.7409127305819802e-51, 100.00000000000000, 70.000000000000000 },
|
420 |
|
|
{ 7.4807039968503468e-55, 100.00000000000000, 80.000000000000000 },
|
421 |
|
|
{ 3.0238531916564246e-58, 100.00000000000000, 90.000000000000000 },
|
422 |
|
|
{ 2.2087606931991853e-61, 100.00000000000000, 100.00000000000000 },
|
423 |
|
|
};
|
424 |
|
|
|
425 |
|
|
// Test function for x=100.00000000000000.
|
426 |
|
|
template <typename Tp>
|
427 |
|
|
void test010()
|
428 |
|
|
{
|
429 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
430 |
|
|
Tp max_abs_diff = -Tp(1);
|
431 |
|
|
Tp max_abs_frac = -Tp(1);
|
432 |
|
|
unsigned int num_datum = sizeof(data010)
|
433 |
|
|
/ sizeof(testcase_beta<double>);
|
434 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
435 |
|
|
{
|
436 |
|
|
const Tp f = std::tr1::beta(Tp(data010[i].x), Tp(data010[i].y));
|
437 |
|
|
const Tp f0 = data010[i].f0;
|
438 |
|
|
const Tp diff = f - f0;
|
439 |
|
|
if (std::abs(diff) > max_abs_diff)
|
440 |
|
|
max_abs_diff = std::abs(diff);
|
441 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
442 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
443 |
|
|
{
|
444 |
|
|
const Tp frac = diff / f0;
|
445 |
|
|
if (std::abs(frac) > max_abs_frac)
|
446 |
|
|
max_abs_frac = std::abs(frac);
|
447 |
|
|
}
|
448 |
|
|
}
|
449 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000029e-12));
|
450 |
|
|
}
|
451 |
|
|
|
452 |
|
|
int main(int, char**)
|
453 |
|
|
{
|
454 |
|
|
test001<double>();
|
455 |
|
|
test002<double>();
|
456 |
|
|
test003<double>();
|
457 |
|
|
test004<double>();
|
458 |
|
|
test005<double>();
|
459 |
|
|
test006<double>();
|
460 |
|
|
test007<double>();
|
461 |
|
|
test008<double>();
|
462 |
|
|
test009<double>();
|
463 |
|
|
test010<double>();
|
464 |
|
|
return 0;
|
465 |
|
|
}
|