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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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// assoc_laguerre
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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 n=0, m=0.
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testcase_assoc_laguerre<double> data001[] = {
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{ 1.0000000000000000, 0, 0,
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0.0000000000000000 },
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{ 1.0000000000000000, 0, 0,
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10.000000000000000 },
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{ 1.0000000000000000, 0, 0,
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20.000000000000000 },
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{ 1.0000000000000000, 0, 0,
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30.000000000000000 },
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{ 1.0000000000000000, 0, 0,
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40.000000000000000 },
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{ 1.0000000000000000, 0, 0,
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50.000000000000000 },
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{ 1.0000000000000000, 0, 0,
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60.000000000000000 },
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{ 1.0000000000000000, 0, 0,
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70.000000000000000 },
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{ 1.0000000000000000, 0, 0,
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80.000000000000000 },
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{ 1.0000000000000000, 0, 0,
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90.000000000000000 },
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{ 1.0000000000000000, 0, 0,
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100.00000000000000 },
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};
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// Test function for n=0, m=0.
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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_assoc_laguerre<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::assoc_laguerre(Tp(data001[i].n), Tp(data001[i].m),
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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 n=0, m=1.
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testcase_assoc_laguerre<double> data002[] = {
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{ 1.0000000000000000, 0, 1,
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0.0000000000000000 },
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{ 1.0000000000000000, 0, 1,
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10.000000000000000 },
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{ 1.0000000000000000, 0, 1,
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20.000000000000000 },
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{ 1.0000000000000000, 0, 1,
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30.000000000000000 },
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{ 1.0000000000000000, 0, 1,
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40.000000000000000 },
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{ 1.0000000000000000, 0, 1,
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50.000000000000000 },
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{ 1.0000000000000000, 0, 1,
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60.000000000000000 },
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{ 1.0000000000000000, 0, 1,
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70.000000000000000 },
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{ 1.0000000000000000, 0, 1,
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80.000000000000000 },
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{ 1.0000000000000000, 0, 1,
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90.000000000000000 },
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{ 1.0000000000000000, 0, 1,
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100.00000000000000 },
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};
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// Test function for n=0, m=1.
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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_assoc_laguerre<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::assoc_laguerre(Tp(data002[i].n), Tp(data002[i].m),
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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 n=0, m=2.
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testcase_assoc_laguerre<double> data003[] = {
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{ 1.0000000000000000, 0, 2,
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0.0000000000000000 },
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{ 1.0000000000000000, 0, 2,
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10.000000000000000 },
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{ 1.0000000000000000, 0, 2,
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20.000000000000000 },
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{ 1.0000000000000000, 0, 2,
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30.000000000000000 },
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{ 1.0000000000000000, 0, 2,
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40.000000000000000 },
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{ 1.0000000000000000, 0, 2,
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50.000000000000000 },
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{ 1.0000000000000000, 0, 2,
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60.000000000000000 },
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{ 1.0000000000000000, 0, 2,
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70.000000000000000 },
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{ 1.0000000000000000, 0, 2,
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80.000000000000000 },
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{ 1.0000000000000000, 0, 2,
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90.000000000000000 },
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{ 1.0000000000000000, 0, 2,
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100.00000000000000 },
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};
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// Test function for n=0, m=2.
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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_assoc_laguerre<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::assoc_laguerre(Tp(data003[i].n), Tp(data003[i].m),
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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 n=0, m=5.
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testcase_assoc_laguerre<double> data004[] = {
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{ 1.0000000000000000, 0, 5,
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0.0000000000000000 },
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{ 1.0000000000000000, 0, 5,
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10.000000000000000 },
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{ 1.0000000000000000, 0, 5,
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20.000000000000000 },
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{ 1.0000000000000000, 0, 5,
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30.000000000000000 },
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{ 1.0000000000000000, 0, 5,
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40.000000000000000 },
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{ 1.0000000000000000, 0, 5,
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50.000000000000000 },
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{ 1.0000000000000000, 0, 5,
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60.000000000000000 },
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{ 1.0000000000000000, 0, 5,
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70.000000000000000 },
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{ 1.0000000000000000, 0, 5,
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80.000000000000000 },
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{ 1.0000000000000000, 0, 5,
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90.000000000000000 },
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{ 1.0000000000000000, 0, 5,
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100.00000000000000 },
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};
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// Test function for n=0, m=5.
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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_assoc_laguerre<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::assoc_laguerre(Tp(data004[i].n), Tp(data004[i].m),
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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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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 n=0, m=10.
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testcase_assoc_laguerre<double> data005[] = {
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{ 1.0000000000000000, 0, 10,
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0.0000000000000000 },
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{ 1.0000000000000000, 0, 10,
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10.000000000000000 },
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{ 1.0000000000000000, 0, 10,
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20.000000000000000 },
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{ 1.0000000000000000, 0, 10,
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30.000000000000000 },
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{ 1.0000000000000000, 0, 10,
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40.000000000000000 },
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{ 1.0000000000000000, 0, 10,
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50.000000000000000 },
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{ 1.0000000000000000, 0, 10,
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60.000000000000000 },
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{ 1.0000000000000000, 0, 10,
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70.000000000000000 },
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{ 1.0000000000000000, 0, 10,
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80.000000000000000 },
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{ 1.0000000000000000, 0, 10,
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90.000000000000000 },
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{ 1.0000000000000000, 0, 10,
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100.00000000000000 },
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};
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// Test function for n=0, m=10.
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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_assoc_laguerre<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::assoc_laguerre(Tp(data005[i].n), Tp(data005[i].m),
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Tp(data005[i].x));
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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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311 |
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// Test data for n=0, m=20.
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testcase_assoc_laguerre<double> data006[] = {
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{ 1.0000000000000000, 0, 20,
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0.0000000000000000 },
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{ 1.0000000000000000, 0, 20,
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10.000000000000000 },
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{ 1.0000000000000000, 0, 20,
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20.000000000000000 },
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{ 1.0000000000000000, 0, 20,
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30.000000000000000 },
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{ 1.0000000000000000, 0, 20,
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40.000000000000000 },
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{ 1.0000000000000000, 0, 20,
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50.000000000000000 },
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{ 1.0000000000000000, 0, 20,
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60.000000000000000 },
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{ 1.0000000000000000, 0, 20,
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70.000000000000000 },
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{ 1.0000000000000000, 0, 20,
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80.000000000000000 },
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{ 1.0000000000000000, 0, 20,
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90.000000000000000 },
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{ 1.0000000000000000, 0, 20,
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100.00000000000000 },
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};
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// Test function for n=0, m=20.
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339 |
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template <typename Tp>
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340 |
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void test006()
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341 |
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{
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342 |
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const Tp eps = std::numeric_limits<Tp>::epsilon();
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343 |
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Tp max_abs_diff = -Tp(1);
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344 |
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Tp max_abs_frac = -Tp(1);
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345 |
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unsigned int num_datum = sizeof(data006)
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346 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
347 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
348 |
|
|
{
|
349 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data006[i].n), Tp(data006[i].m),
|
350 |
|
|
Tp(data006[i].x));
|
351 |
|
|
const Tp f0 = data006[i].f0;
|
352 |
|
|
const Tp diff = f - f0;
|
353 |
|
|
if (std::abs(diff) > max_abs_diff)
|
354 |
|
|
max_abs_diff = std::abs(diff);
|
355 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
356 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
357 |
|
|
{
|
358 |
|
|
const Tp frac = diff / f0;
|
359 |
|
|
if (std::abs(frac) > max_abs_frac)
|
360 |
|
|
max_abs_frac = std::abs(frac);
|
361 |
|
|
}
|
362 |
|
|
}
|
363 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
364 |
|
|
}
|
365 |
|
|
|
366 |
|
|
// Test data for n=0, m=50.
|
367 |
|
|
testcase_assoc_laguerre<double> data007[] = {
|
368 |
|
|
{ 1.0000000000000000, 0, 50,
|
369 |
|
|
0.0000000000000000 },
|
370 |
|
|
{ 1.0000000000000000, 0, 50,
|
371 |
|
|
10.000000000000000 },
|
372 |
|
|
{ 1.0000000000000000, 0, 50,
|
373 |
|
|
20.000000000000000 },
|
374 |
|
|
{ 1.0000000000000000, 0, 50,
|
375 |
|
|
30.000000000000000 },
|
376 |
|
|
{ 1.0000000000000000, 0, 50,
|
377 |
|
|
40.000000000000000 },
|
378 |
|
|
{ 1.0000000000000000, 0, 50,
|
379 |
|
|
50.000000000000000 },
|
380 |
|
|
{ 1.0000000000000000, 0, 50,
|
381 |
|
|
60.000000000000000 },
|
382 |
|
|
{ 1.0000000000000000, 0, 50,
|
383 |
|
|
70.000000000000000 },
|
384 |
|
|
{ 1.0000000000000000, 0, 50,
|
385 |
|
|
80.000000000000000 },
|
386 |
|
|
{ 1.0000000000000000, 0, 50,
|
387 |
|
|
90.000000000000000 },
|
388 |
|
|
{ 1.0000000000000000, 0, 50,
|
389 |
|
|
100.00000000000000 },
|
390 |
|
|
};
|
391 |
|
|
|
392 |
|
|
// Test function for n=0, m=50.
|
393 |
|
|
template <typename Tp>
|
394 |
|
|
void test007()
|
395 |
|
|
{
|
396 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
397 |
|
|
Tp max_abs_diff = -Tp(1);
|
398 |
|
|
Tp max_abs_frac = -Tp(1);
|
399 |
|
|
unsigned int num_datum = sizeof(data007)
|
400 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
401 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
402 |
|
|
{
|
403 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data007[i].n), Tp(data007[i].m),
|
404 |
|
|
Tp(data007[i].x));
|
405 |
|
|
const Tp f0 = data007[i].f0;
|
406 |
|
|
const Tp diff = f - f0;
|
407 |
|
|
if (std::abs(diff) > max_abs_diff)
|
408 |
|
|
max_abs_diff = std::abs(diff);
|
409 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
410 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
411 |
|
|
{
|
412 |
|
|
const Tp frac = diff / f0;
|
413 |
|
|
if (std::abs(frac) > max_abs_frac)
|
414 |
|
|
max_abs_frac = std::abs(frac);
|
415 |
|
|
}
|
416 |
|
|
}
|
417 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
418 |
|
|
}
|
419 |
|
|
|
420 |
|
|
// Test data for n=0, m=100.
|
421 |
|
|
testcase_assoc_laguerre<double> data008[] = {
|
422 |
|
|
{ 1.0000000000000000, 0, 100,
|
423 |
|
|
0.0000000000000000 },
|
424 |
|
|
{ 1.0000000000000000, 0, 100,
|
425 |
|
|
10.000000000000000 },
|
426 |
|
|
{ 1.0000000000000000, 0, 100,
|
427 |
|
|
20.000000000000000 },
|
428 |
|
|
{ 1.0000000000000000, 0, 100,
|
429 |
|
|
30.000000000000000 },
|
430 |
|
|
{ 1.0000000000000000, 0, 100,
|
431 |
|
|
40.000000000000000 },
|
432 |
|
|
{ 1.0000000000000000, 0, 100,
|
433 |
|
|
50.000000000000000 },
|
434 |
|
|
{ 1.0000000000000000, 0, 100,
|
435 |
|
|
60.000000000000000 },
|
436 |
|
|
{ 1.0000000000000000, 0, 100,
|
437 |
|
|
70.000000000000000 },
|
438 |
|
|
{ 1.0000000000000000, 0, 100,
|
439 |
|
|
80.000000000000000 },
|
440 |
|
|
{ 1.0000000000000000, 0, 100,
|
441 |
|
|
90.000000000000000 },
|
442 |
|
|
{ 1.0000000000000000, 0, 100,
|
443 |
|
|
100.00000000000000 },
|
444 |
|
|
};
|
445 |
|
|
|
446 |
|
|
// Test function for n=0, m=100.
|
447 |
|
|
template <typename Tp>
|
448 |
|
|
void test008()
|
449 |
|
|
{
|
450 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
451 |
|
|
Tp max_abs_diff = -Tp(1);
|
452 |
|
|
Tp max_abs_frac = -Tp(1);
|
453 |
|
|
unsigned int num_datum = sizeof(data008)
|
454 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
455 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
456 |
|
|
{
|
457 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data008[i].n), Tp(data008[i].m),
|
458 |
|
|
Tp(data008[i].x));
|
459 |
|
|
const Tp f0 = data008[i].f0;
|
460 |
|
|
const Tp diff = f - f0;
|
461 |
|
|
if (std::abs(diff) > max_abs_diff)
|
462 |
|
|
max_abs_diff = std::abs(diff);
|
463 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
464 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
465 |
|
|
{
|
466 |
|
|
const Tp frac = diff / f0;
|
467 |
|
|
if (std::abs(frac) > max_abs_frac)
|
468 |
|
|
max_abs_frac = std::abs(frac);
|
469 |
|
|
}
|
470 |
|
|
}
|
471 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
472 |
|
|
}
|
473 |
|
|
|
474 |
|
|
// Test data for n=1, m=0.
|
475 |
|
|
testcase_assoc_laguerre<double> data009[] = {
|
476 |
|
|
{ 1.0000000000000000, 1, 0,
|
477 |
|
|
0.0000000000000000 },
|
478 |
|
|
{ -9.0000000000000000, 1, 0,
|
479 |
|
|
10.000000000000000 },
|
480 |
|
|
{ -19.000000000000000, 1, 0,
|
481 |
|
|
20.000000000000000 },
|
482 |
|
|
{ -29.000000000000000, 1, 0,
|
483 |
|
|
30.000000000000000 },
|
484 |
|
|
{ -39.000000000000000, 1, 0,
|
485 |
|
|
40.000000000000000 },
|
486 |
|
|
{ -49.000000000000000, 1, 0,
|
487 |
|
|
50.000000000000000 },
|
488 |
|
|
{ -59.000000000000000, 1, 0,
|
489 |
|
|
60.000000000000000 },
|
490 |
|
|
{ -69.000000000000000, 1, 0,
|
491 |
|
|
70.000000000000000 },
|
492 |
|
|
{ -79.000000000000000, 1, 0,
|
493 |
|
|
80.000000000000000 },
|
494 |
|
|
{ -89.000000000000000, 1, 0,
|
495 |
|
|
90.000000000000000 },
|
496 |
|
|
{ -99.000000000000000, 1, 0,
|
497 |
|
|
100.00000000000000 },
|
498 |
|
|
};
|
499 |
|
|
|
500 |
|
|
// Test function for n=1, m=0.
|
501 |
|
|
template <typename Tp>
|
502 |
|
|
void test009()
|
503 |
|
|
{
|
504 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
505 |
|
|
Tp max_abs_diff = -Tp(1);
|
506 |
|
|
Tp max_abs_frac = -Tp(1);
|
507 |
|
|
unsigned int num_datum = sizeof(data009)
|
508 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
509 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
510 |
|
|
{
|
511 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data009[i].n), Tp(data009[i].m),
|
512 |
|
|
Tp(data009[i].x));
|
513 |
|
|
const Tp f0 = data009[i].f0;
|
514 |
|
|
const Tp diff = f - f0;
|
515 |
|
|
if (std::abs(diff) > max_abs_diff)
|
516 |
|
|
max_abs_diff = std::abs(diff);
|
517 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
518 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
519 |
|
|
{
|
520 |
|
|
const Tp frac = diff / f0;
|
521 |
|
|
if (std::abs(frac) > max_abs_frac)
|
522 |
|
|
max_abs_frac = std::abs(frac);
|
523 |
|
|
}
|
524 |
|
|
}
|
525 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
526 |
|
|
}
|
527 |
|
|
|
528 |
|
|
// Test data for n=1, m=1.
|
529 |
|
|
testcase_assoc_laguerre<double> data010[] = {
|
530 |
|
|
{ 2.0000000000000000, 1, 1,
|
531 |
|
|
0.0000000000000000 },
|
532 |
|
|
{ -8.0000000000000000, 1, 1,
|
533 |
|
|
10.000000000000000 },
|
534 |
|
|
{ -18.000000000000000, 1, 1,
|
535 |
|
|
20.000000000000000 },
|
536 |
|
|
{ -28.000000000000000, 1, 1,
|
537 |
|
|
30.000000000000000 },
|
538 |
|
|
{ -38.000000000000000, 1, 1,
|
539 |
|
|
40.000000000000000 },
|
540 |
|
|
{ -48.000000000000000, 1, 1,
|
541 |
|
|
50.000000000000000 },
|
542 |
|
|
{ -58.000000000000000, 1, 1,
|
543 |
|
|
60.000000000000000 },
|
544 |
|
|
{ -68.000000000000000, 1, 1,
|
545 |
|
|
70.000000000000000 },
|
546 |
|
|
{ -78.000000000000000, 1, 1,
|
547 |
|
|
80.000000000000000 },
|
548 |
|
|
{ -88.000000000000000, 1, 1,
|
549 |
|
|
90.000000000000000 },
|
550 |
|
|
{ -98.000000000000000, 1, 1,
|
551 |
|
|
100.00000000000000 },
|
552 |
|
|
};
|
553 |
|
|
|
554 |
|
|
// Test function for n=1, m=1.
|
555 |
|
|
template <typename Tp>
|
556 |
|
|
void test010()
|
557 |
|
|
{
|
558 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
559 |
|
|
Tp max_abs_diff = -Tp(1);
|
560 |
|
|
Tp max_abs_frac = -Tp(1);
|
561 |
|
|
unsigned int num_datum = sizeof(data010)
|
562 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
563 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
564 |
|
|
{
|
565 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data010[i].n), Tp(data010[i].m),
|
566 |
|
|
Tp(data010[i].x));
|
567 |
|
|
const Tp f0 = data010[i].f0;
|
568 |
|
|
const Tp diff = f - f0;
|
569 |
|
|
if (std::abs(diff) > max_abs_diff)
|
570 |
|
|
max_abs_diff = std::abs(diff);
|
571 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
572 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
573 |
|
|
{
|
574 |
|
|
const Tp frac = diff / f0;
|
575 |
|
|
if (std::abs(frac) > max_abs_frac)
|
576 |
|
|
max_abs_frac = std::abs(frac);
|
577 |
|
|
}
|
578 |
|
|
}
|
579 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
580 |
|
|
}
|
581 |
|
|
|
582 |
|
|
// Test data for n=1, m=2.
|
583 |
|
|
testcase_assoc_laguerre<double> data011[] = {
|
584 |
|
|
{ 3.0000000000000000, 1, 2,
|
585 |
|
|
0.0000000000000000 },
|
586 |
|
|
{ -7.0000000000000000, 1, 2,
|
587 |
|
|
10.000000000000000 },
|
588 |
|
|
{ -17.000000000000000, 1, 2,
|
589 |
|
|
20.000000000000000 },
|
590 |
|
|
{ -27.000000000000000, 1, 2,
|
591 |
|
|
30.000000000000000 },
|
592 |
|
|
{ -37.000000000000000, 1, 2,
|
593 |
|
|
40.000000000000000 },
|
594 |
|
|
{ -47.000000000000000, 1, 2,
|
595 |
|
|
50.000000000000000 },
|
596 |
|
|
{ -57.000000000000000, 1, 2,
|
597 |
|
|
60.000000000000000 },
|
598 |
|
|
{ -67.000000000000000, 1, 2,
|
599 |
|
|
70.000000000000000 },
|
600 |
|
|
{ -77.000000000000000, 1, 2,
|
601 |
|
|
80.000000000000000 },
|
602 |
|
|
{ -87.000000000000000, 1, 2,
|
603 |
|
|
90.000000000000000 },
|
604 |
|
|
{ -97.000000000000000, 1, 2,
|
605 |
|
|
100.00000000000000 },
|
606 |
|
|
};
|
607 |
|
|
|
608 |
|
|
// Test function for n=1, m=2.
|
609 |
|
|
template <typename Tp>
|
610 |
|
|
void test011()
|
611 |
|
|
{
|
612 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
613 |
|
|
Tp max_abs_diff = -Tp(1);
|
614 |
|
|
Tp max_abs_frac = -Tp(1);
|
615 |
|
|
unsigned int num_datum = sizeof(data011)
|
616 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
617 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
618 |
|
|
{
|
619 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data011[i].n), Tp(data011[i].m),
|
620 |
|
|
Tp(data011[i].x));
|
621 |
|
|
const Tp f0 = data011[i].f0;
|
622 |
|
|
const Tp diff = f - f0;
|
623 |
|
|
if (std::abs(diff) > max_abs_diff)
|
624 |
|
|
max_abs_diff = std::abs(diff);
|
625 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
626 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
627 |
|
|
{
|
628 |
|
|
const Tp frac = diff / f0;
|
629 |
|
|
if (std::abs(frac) > max_abs_frac)
|
630 |
|
|
max_abs_frac = std::abs(frac);
|
631 |
|
|
}
|
632 |
|
|
}
|
633 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
634 |
|
|
}
|
635 |
|
|
|
636 |
|
|
// Test data for n=1, m=5.
|
637 |
|
|
testcase_assoc_laguerre<double> data012[] = {
|
638 |
|
|
{ 6.0000000000000000, 1, 5,
|
639 |
|
|
0.0000000000000000 },
|
640 |
|
|
{ -4.0000000000000000, 1, 5,
|
641 |
|
|
10.000000000000000 },
|
642 |
|
|
{ -14.000000000000000, 1, 5,
|
643 |
|
|
20.000000000000000 },
|
644 |
|
|
{ -24.000000000000000, 1, 5,
|
645 |
|
|
30.000000000000000 },
|
646 |
|
|
{ -34.000000000000000, 1, 5,
|
647 |
|
|
40.000000000000000 },
|
648 |
|
|
{ -44.000000000000000, 1, 5,
|
649 |
|
|
50.000000000000000 },
|
650 |
|
|
{ -54.000000000000000, 1, 5,
|
651 |
|
|
60.000000000000000 },
|
652 |
|
|
{ -64.000000000000000, 1, 5,
|
653 |
|
|
70.000000000000000 },
|
654 |
|
|
{ -74.000000000000000, 1, 5,
|
655 |
|
|
80.000000000000000 },
|
656 |
|
|
{ -84.000000000000000, 1, 5,
|
657 |
|
|
90.000000000000000 },
|
658 |
|
|
{ -94.000000000000000, 1, 5,
|
659 |
|
|
100.00000000000000 },
|
660 |
|
|
};
|
661 |
|
|
|
662 |
|
|
// Test function for n=1, m=5.
|
663 |
|
|
template <typename Tp>
|
664 |
|
|
void test012()
|
665 |
|
|
{
|
666 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
667 |
|
|
Tp max_abs_diff = -Tp(1);
|
668 |
|
|
Tp max_abs_frac = -Tp(1);
|
669 |
|
|
unsigned int num_datum = sizeof(data012)
|
670 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
671 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
672 |
|
|
{
|
673 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data012[i].n), Tp(data012[i].m),
|
674 |
|
|
Tp(data012[i].x));
|
675 |
|
|
const Tp f0 = data012[i].f0;
|
676 |
|
|
const Tp diff = f - f0;
|
677 |
|
|
if (std::abs(diff) > max_abs_diff)
|
678 |
|
|
max_abs_diff = std::abs(diff);
|
679 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
680 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
681 |
|
|
{
|
682 |
|
|
const Tp frac = diff / f0;
|
683 |
|
|
if (std::abs(frac) > max_abs_frac)
|
684 |
|
|
max_abs_frac = std::abs(frac);
|
685 |
|
|
}
|
686 |
|
|
}
|
687 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
688 |
|
|
}
|
689 |
|
|
|
690 |
|
|
// Test data for n=1, m=10.
|
691 |
|
|
testcase_assoc_laguerre<double> data013[] = {
|
692 |
|
|
{ 11.000000000000000, 1, 10,
|
693 |
|
|
0.0000000000000000 },
|
694 |
|
|
{ 1.0000000000000000, 1, 10,
|
695 |
|
|
10.000000000000000 },
|
696 |
|
|
{ -9.0000000000000000, 1, 10,
|
697 |
|
|
20.000000000000000 },
|
698 |
|
|
{ -19.000000000000000, 1, 10,
|
699 |
|
|
30.000000000000000 },
|
700 |
|
|
{ -29.000000000000000, 1, 10,
|
701 |
|
|
40.000000000000000 },
|
702 |
|
|
{ -39.000000000000000, 1, 10,
|
703 |
|
|
50.000000000000000 },
|
704 |
|
|
{ -49.000000000000000, 1, 10,
|
705 |
|
|
60.000000000000000 },
|
706 |
|
|
{ -59.000000000000000, 1, 10,
|
707 |
|
|
70.000000000000000 },
|
708 |
|
|
{ -69.000000000000000, 1, 10,
|
709 |
|
|
80.000000000000000 },
|
710 |
|
|
{ -79.000000000000000, 1, 10,
|
711 |
|
|
90.000000000000000 },
|
712 |
|
|
{ -89.000000000000000, 1, 10,
|
713 |
|
|
100.00000000000000 },
|
714 |
|
|
};
|
715 |
|
|
|
716 |
|
|
// Test function for n=1, m=10.
|
717 |
|
|
template <typename Tp>
|
718 |
|
|
void test013()
|
719 |
|
|
{
|
720 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
721 |
|
|
Tp max_abs_diff = -Tp(1);
|
722 |
|
|
Tp max_abs_frac = -Tp(1);
|
723 |
|
|
unsigned int num_datum = sizeof(data013)
|
724 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
725 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
726 |
|
|
{
|
727 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data013[i].n), Tp(data013[i].m),
|
728 |
|
|
Tp(data013[i].x));
|
729 |
|
|
const Tp f0 = data013[i].f0;
|
730 |
|
|
const Tp diff = f - f0;
|
731 |
|
|
if (std::abs(diff) > max_abs_diff)
|
732 |
|
|
max_abs_diff = std::abs(diff);
|
733 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
734 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
735 |
|
|
{
|
736 |
|
|
const Tp frac = diff / f0;
|
737 |
|
|
if (std::abs(frac) > max_abs_frac)
|
738 |
|
|
max_abs_frac = std::abs(frac);
|
739 |
|
|
}
|
740 |
|
|
}
|
741 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
742 |
|
|
}
|
743 |
|
|
|
744 |
|
|
// Test data for n=1, m=20.
|
745 |
|
|
testcase_assoc_laguerre<double> data014[] = {
|
746 |
|
|
{ 21.000000000000000, 1, 20,
|
747 |
|
|
0.0000000000000000 },
|
748 |
|
|
{ 11.000000000000000, 1, 20,
|
749 |
|
|
10.000000000000000 },
|
750 |
|
|
{ 1.0000000000000000, 1, 20,
|
751 |
|
|
20.000000000000000 },
|
752 |
|
|
{ -9.0000000000000000, 1, 20,
|
753 |
|
|
30.000000000000000 },
|
754 |
|
|
{ -19.000000000000000, 1, 20,
|
755 |
|
|
40.000000000000000 },
|
756 |
|
|
{ -29.000000000000000, 1, 20,
|
757 |
|
|
50.000000000000000 },
|
758 |
|
|
{ -39.000000000000000, 1, 20,
|
759 |
|
|
60.000000000000000 },
|
760 |
|
|
{ -49.000000000000000, 1, 20,
|
761 |
|
|
70.000000000000000 },
|
762 |
|
|
{ -59.000000000000000, 1, 20,
|
763 |
|
|
80.000000000000000 },
|
764 |
|
|
{ -69.000000000000000, 1, 20,
|
765 |
|
|
90.000000000000000 },
|
766 |
|
|
{ -79.000000000000000, 1, 20,
|
767 |
|
|
100.00000000000000 },
|
768 |
|
|
};
|
769 |
|
|
|
770 |
|
|
// Test function for n=1, m=20.
|
771 |
|
|
template <typename Tp>
|
772 |
|
|
void test014()
|
773 |
|
|
{
|
774 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
775 |
|
|
Tp max_abs_diff = -Tp(1);
|
776 |
|
|
Tp max_abs_frac = -Tp(1);
|
777 |
|
|
unsigned int num_datum = sizeof(data014)
|
778 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
779 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
780 |
|
|
{
|
781 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data014[i].n), Tp(data014[i].m),
|
782 |
|
|
Tp(data014[i].x));
|
783 |
|
|
const Tp f0 = data014[i].f0;
|
784 |
|
|
const Tp diff = f - f0;
|
785 |
|
|
if (std::abs(diff) > max_abs_diff)
|
786 |
|
|
max_abs_diff = std::abs(diff);
|
787 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
788 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
789 |
|
|
{
|
790 |
|
|
const Tp frac = diff / f0;
|
791 |
|
|
if (std::abs(frac) > max_abs_frac)
|
792 |
|
|
max_abs_frac = std::abs(frac);
|
793 |
|
|
}
|
794 |
|
|
}
|
795 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
796 |
|
|
}
|
797 |
|
|
|
798 |
|
|
// Test data for n=1, m=50.
|
799 |
|
|
testcase_assoc_laguerre<double> data015[] = {
|
800 |
|
|
{ 51.000000000000000, 1, 50,
|
801 |
|
|
0.0000000000000000 },
|
802 |
|
|
{ 41.000000000000000, 1, 50,
|
803 |
|
|
10.000000000000000 },
|
804 |
|
|
{ 31.000000000000000, 1, 50,
|
805 |
|
|
20.000000000000000 },
|
806 |
|
|
{ 21.000000000000000, 1, 50,
|
807 |
|
|
30.000000000000000 },
|
808 |
|
|
{ 11.000000000000000, 1, 50,
|
809 |
|
|
40.000000000000000 },
|
810 |
|
|
{ 1.0000000000000000, 1, 50,
|
811 |
|
|
50.000000000000000 },
|
812 |
|
|
{ -9.0000000000000000, 1, 50,
|
813 |
|
|
60.000000000000000 },
|
814 |
|
|
{ -19.000000000000000, 1, 50,
|
815 |
|
|
70.000000000000000 },
|
816 |
|
|
{ -29.000000000000000, 1, 50,
|
817 |
|
|
80.000000000000000 },
|
818 |
|
|
{ -39.000000000000000, 1, 50,
|
819 |
|
|
90.000000000000000 },
|
820 |
|
|
{ -49.000000000000000, 1, 50,
|
821 |
|
|
100.00000000000000 },
|
822 |
|
|
};
|
823 |
|
|
|
824 |
|
|
// Test function for n=1, m=50.
|
825 |
|
|
template <typename Tp>
|
826 |
|
|
void test015()
|
827 |
|
|
{
|
828 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
829 |
|
|
Tp max_abs_diff = -Tp(1);
|
830 |
|
|
Tp max_abs_frac = -Tp(1);
|
831 |
|
|
unsigned int num_datum = sizeof(data015)
|
832 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
833 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
834 |
|
|
{
|
835 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data015[i].n), Tp(data015[i].m),
|
836 |
|
|
Tp(data015[i].x));
|
837 |
|
|
const Tp f0 = data015[i].f0;
|
838 |
|
|
const Tp diff = f - f0;
|
839 |
|
|
if (std::abs(diff) > max_abs_diff)
|
840 |
|
|
max_abs_diff = std::abs(diff);
|
841 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
842 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
843 |
|
|
{
|
844 |
|
|
const Tp frac = diff / f0;
|
845 |
|
|
if (std::abs(frac) > max_abs_frac)
|
846 |
|
|
max_abs_frac = std::abs(frac);
|
847 |
|
|
}
|
848 |
|
|
}
|
849 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
850 |
|
|
}
|
851 |
|
|
|
852 |
|
|
// Test data for n=1, m=100.
|
853 |
|
|
testcase_assoc_laguerre<double> data016[] = {
|
854 |
|
|
{ 101.00000000000000, 1, 100,
|
855 |
|
|
0.0000000000000000 },
|
856 |
|
|
{ 91.000000000000000, 1, 100,
|
857 |
|
|
10.000000000000000 },
|
858 |
|
|
{ 81.000000000000000, 1, 100,
|
859 |
|
|
20.000000000000000 },
|
860 |
|
|
{ 71.000000000000000, 1, 100,
|
861 |
|
|
30.000000000000000 },
|
862 |
|
|
{ 61.000000000000000, 1, 100,
|
863 |
|
|
40.000000000000000 },
|
864 |
|
|
{ 51.000000000000000, 1, 100,
|
865 |
|
|
50.000000000000000 },
|
866 |
|
|
{ 41.000000000000000, 1, 100,
|
867 |
|
|
60.000000000000000 },
|
868 |
|
|
{ 31.000000000000000, 1, 100,
|
869 |
|
|
70.000000000000000 },
|
870 |
|
|
{ 21.000000000000000, 1, 100,
|
871 |
|
|
80.000000000000000 },
|
872 |
|
|
{ 11.000000000000000, 1, 100,
|
873 |
|
|
90.000000000000000 },
|
874 |
|
|
{ 1.0000000000000000, 1, 100,
|
875 |
|
|
100.00000000000000 },
|
876 |
|
|
};
|
877 |
|
|
|
878 |
|
|
// Test function for n=1, m=100.
|
879 |
|
|
template <typename Tp>
|
880 |
|
|
void test016()
|
881 |
|
|
{
|
882 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
883 |
|
|
Tp max_abs_diff = -Tp(1);
|
884 |
|
|
Tp max_abs_frac = -Tp(1);
|
885 |
|
|
unsigned int num_datum = sizeof(data016)
|
886 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
887 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
888 |
|
|
{
|
889 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data016[i].n), Tp(data016[i].m),
|
890 |
|
|
Tp(data016[i].x));
|
891 |
|
|
const Tp f0 = data016[i].f0;
|
892 |
|
|
const Tp diff = f - f0;
|
893 |
|
|
if (std::abs(diff) > max_abs_diff)
|
894 |
|
|
max_abs_diff = std::abs(diff);
|
895 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
896 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
897 |
|
|
{
|
898 |
|
|
const Tp frac = diff / f0;
|
899 |
|
|
if (std::abs(frac) > max_abs_frac)
|
900 |
|
|
max_abs_frac = std::abs(frac);
|
901 |
|
|
}
|
902 |
|
|
}
|
903 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
904 |
|
|
}
|
905 |
|
|
|
906 |
|
|
// Test data for n=2, m=0.
|
907 |
|
|
testcase_assoc_laguerre<double> data017[] = {
|
908 |
|
|
{ 1.0000000000000000, 2, 0,
|
909 |
|
|
0.0000000000000000 },
|
910 |
|
|
{ 31.000000000000000, 2, 0,
|
911 |
|
|
10.000000000000000 },
|
912 |
|
|
{ 161.00000000000000, 2, 0,
|
913 |
|
|
20.000000000000000 },
|
914 |
|
|
{ 391.00000000000000, 2, 0,
|
915 |
|
|
30.000000000000000 },
|
916 |
|
|
{ 721.00000000000000, 2, 0,
|
917 |
|
|
40.000000000000000 },
|
918 |
|
|
{ 1151.0000000000000, 2, 0,
|
919 |
|
|
50.000000000000000 },
|
920 |
|
|
{ 1681.0000000000000, 2, 0,
|
921 |
|
|
60.000000000000000 },
|
922 |
|
|
{ 2311.0000000000000, 2, 0,
|
923 |
|
|
70.000000000000000 },
|
924 |
|
|
{ 3041.0000000000000, 2, 0,
|
925 |
|
|
80.000000000000000 },
|
926 |
|
|
{ 3871.0000000000000, 2, 0,
|
927 |
|
|
90.000000000000000 },
|
928 |
|
|
{ 4801.0000000000000, 2, 0,
|
929 |
|
|
100.00000000000000 },
|
930 |
|
|
};
|
931 |
|
|
|
932 |
|
|
// Test function for n=2, m=0.
|
933 |
|
|
template <typename Tp>
|
934 |
|
|
void test017()
|
935 |
|
|
{
|
936 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
937 |
|
|
Tp max_abs_diff = -Tp(1);
|
938 |
|
|
Tp max_abs_frac = -Tp(1);
|
939 |
|
|
unsigned int num_datum = sizeof(data017)
|
940 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
941 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
942 |
|
|
{
|
943 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data017[i].n), Tp(data017[i].m),
|
944 |
|
|
Tp(data017[i].x));
|
945 |
|
|
const Tp f0 = data017[i].f0;
|
946 |
|
|
const Tp diff = f - f0;
|
947 |
|
|
if (std::abs(diff) > max_abs_diff)
|
948 |
|
|
max_abs_diff = std::abs(diff);
|
949 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
950 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
951 |
|
|
{
|
952 |
|
|
const Tp frac = diff / f0;
|
953 |
|
|
if (std::abs(frac) > max_abs_frac)
|
954 |
|
|
max_abs_frac = std::abs(frac);
|
955 |
|
|
}
|
956 |
|
|
}
|
957 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
958 |
|
|
}
|
959 |
|
|
|
960 |
|
|
// Test data for n=2, m=1.
|
961 |
|
|
testcase_assoc_laguerre<double> data018[] = {
|
962 |
|
|
{ 3.0000000000000000, 2, 1,
|
963 |
|
|
0.0000000000000000 },
|
964 |
|
|
{ 23.000000000000000, 2, 1,
|
965 |
|
|
10.000000000000000 },
|
966 |
|
|
{ 143.00000000000000, 2, 1,
|
967 |
|
|
20.000000000000000 },
|
968 |
|
|
{ 363.00000000000000, 2, 1,
|
969 |
|
|
30.000000000000000 },
|
970 |
|
|
{ 683.00000000000000, 2, 1,
|
971 |
|
|
40.000000000000000 },
|
972 |
|
|
{ 1103.0000000000000, 2, 1,
|
973 |
|
|
50.000000000000000 },
|
974 |
|
|
{ 1623.0000000000000, 2, 1,
|
975 |
|
|
60.000000000000000 },
|
976 |
|
|
{ 2243.0000000000000, 2, 1,
|
977 |
|
|
70.000000000000000 },
|
978 |
|
|
{ 2963.0000000000000, 2, 1,
|
979 |
|
|
80.000000000000000 },
|
980 |
|
|
{ 3783.0000000000000, 2, 1,
|
981 |
|
|
90.000000000000000 },
|
982 |
|
|
{ 4703.0000000000000, 2, 1,
|
983 |
|
|
100.00000000000000 },
|
984 |
|
|
};
|
985 |
|
|
|
986 |
|
|
// Test function for n=2, m=1.
|
987 |
|
|
template <typename Tp>
|
988 |
|
|
void test018()
|
989 |
|
|
{
|
990 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
991 |
|
|
Tp max_abs_diff = -Tp(1);
|
992 |
|
|
Tp max_abs_frac = -Tp(1);
|
993 |
|
|
unsigned int num_datum = sizeof(data018)
|
994 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
995 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
996 |
|
|
{
|
997 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data018[i].n), Tp(data018[i].m),
|
998 |
|
|
Tp(data018[i].x));
|
999 |
|
|
const Tp f0 = data018[i].f0;
|
1000 |
|
|
const Tp diff = f - f0;
|
1001 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1002 |
|
|
max_abs_diff = std::abs(diff);
|
1003 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1004 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1005 |
|
|
{
|
1006 |
|
|
const Tp frac = diff / f0;
|
1007 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1008 |
|
|
max_abs_frac = std::abs(frac);
|
1009 |
|
|
}
|
1010 |
|
|
}
|
1011 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1012 |
|
|
}
|
1013 |
|
|
|
1014 |
|
|
// Test data for n=2, m=2.
|
1015 |
|
|
testcase_assoc_laguerre<double> data019[] = {
|
1016 |
|
|
{ 6.0000000000000000, 2, 2,
|
1017 |
|
|
0.0000000000000000 },
|
1018 |
|
|
{ 16.000000000000000, 2, 2,
|
1019 |
|
|
10.000000000000000 },
|
1020 |
|
|
{ 126.00000000000000, 2, 2,
|
1021 |
|
|
20.000000000000000 },
|
1022 |
|
|
{ 336.00000000000000, 2, 2,
|
1023 |
|
|
30.000000000000000 },
|
1024 |
|
|
{ 646.00000000000000, 2, 2,
|
1025 |
|
|
40.000000000000000 },
|
1026 |
|
|
{ 1056.0000000000000, 2, 2,
|
1027 |
|
|
50.000000000000000 },
|
1028 |
|
|
{ 1566.0000000000000, 2, 2,
|
1029 |
|
|
60.000000000000000 },
|
1030 |
|
|
{ 2176.0000000000000, 2, 2,
|
1031 |
|
|
70.000000000000000 },
|
1032 |
|
|
{ 2886.0000000000000, 2, 2,
|
1033 |
|
|
80.000000000000000 },
|
1034 |
|
|
{ 3696.0000000000000, 2, 2,
|
1035 |
|
|
90.000000000000000 },
|
1036 |
|
|
{ 4606.0000000000000, 2, 2,
|
1037 |
|
|
100.00000000000000 },
|
1038 |
|
|
};
|
1039 |
|
|
|
1040 |
|
|
// Test function for n=2, m=2.
|
1041 |
|
|
template <typename Tp>
|
1042 |
|
|
void test019()
|
1043 |
|
|
{
|
1044 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1045 |
|
|
Tp max_abs_diff = -Tp(1);
|
1046 |
|
|
Tp max_abs_frac = -Tp(1);
|
1047 |
|
|
unsigned int num_datum = sizeof(data019)
|
1048 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1049 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1050 |
|
|
{
|
1051 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data019[i].n), Tp(data019[i].m),
|
1052 |
|
|
Tp(data019[i].x));
|
1053 |
|
|
const Tp f0 = data019[i].f0;
|
1054 |
|
|
const Tp diff = f - f0;
|
1055 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1056 |
|
|
max_abs_diff = std::abs(diff);
|
1057 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1058 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1059 |
|
|
{
|
1060 |
|
|
const Tp frac = diff / f0;
|
1061 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1062 |
|
|
max_abs_frac = std::abs(frac);
|
1063 |
|
|
}
|
1064 |
|
|
}
|
1065 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1066 |
|
|
}
|
1067 |
|
|
|
1068 |
|
|
// Test data for n=2, m=5.
|
1069 |
|
|
testcase_assoc_laguerre<double> data020[] = {
|
1070 |
|
|
{ 21.000000000000000, 2, 5,
|
1071 |
|
|
0.0000000000000000 },
|
1072 |
|
|
{ 0.99999999999999645, 2, 5,
|
1073 |
|
|
10.000000000000000 },
|
1074 |
|
|
{ 81.000000000000000, 2, 5,
|
1075 |
|
|
20.000000000000000 },
|
1076 |
|
|
{ 261.00000000000000, 2, 5,
|
1077 |
|
|
30.000000000000000 },
|
1078 |
|
|
{ 541.00000000000000, 2, 5,
|
1079 |
|
|
40.000000000000000 },
|
1080 |
|
|
{ 921.00000000000000, 2, 5,
|
1081 |
|
|
50.000000000000000 },
|
1082 |
|
|
{ 1401.0000000000000, 2, 5,
|
1083 |
|
|
60.000000000000000 },
|
1084 |
|
|
{ 1981.0000000000000, 2, 5,
|
1085 |
|
|
70.000000000000000 },
|
1086 |
|
|
{ 2661.0000000000000, 2, 5,
|
1087 |
|
|
80.000000000000000 },
|
1088 |
|
|
{ 3441.0000000000000, 2, 5,
|
1089 |
|
|
90.000000000000000 },
|
1090 |
|
|
{ 4321.0000000000000, 2, 5,
|
1091 |
|
|
100.00000000000000 },
|
1092 |
|
|
};
|
1093 |
|
|
|
1094 |
|
|
// Test function for n=2, m=5.
|
1095 |
|
|
template <typename Tp>
|
1096 |
|
|
void test020()
|
1097 |
|
|
{
|
1098 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1099 |
|
|
Tp max_abs_diff = -Tp(1);
|
1100 |
|
|
Tp max_abs_frac = -Tp(1);
|
1101 |
|
|
unsigned int num_datum = sizeof(data020)
|
1102 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1103 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1104 |
|
|
{
|
1105 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data020[i].n), Tp(data020[i].m),
|
1106 |
|
|
Tp(data020[i].x));
|
1107 |
|
|
const Tp f0 = data020[i].f0;
|
1108 |
|
|
const Tp diff = f - f0;
|
1109 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1110 |
|
|
max_abs_diff = std::abs(diff);
|
1111 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1112 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1113 |
|
|
{
|
1114 |
|
|
const Tp frac = diff / f0;
|
1115 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1116 |
|
|
max_abs_frac = std::abs(frac);
|
1117 |
|
|
}
|
1118 |
|
|
}
|
1119 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1120 |
|
|
}
|
1121 |
|
|
|
1122 |
|
|
// Test data for n=2, m=10.
|
1123 |
|
|
testcase_assoc_laguerre<double> data021[] = {
|
1124 |
|
|
{ 66.000000000000000, 2, 10,
|
1125 |
|
|
0.0000000000000000 },
|
1126 |
|
|
{ -4.0000000000000089, 2, 10,
|
1127 |
|
|
10.000000000000000 },
|
1128 |
|
|
{ 25.999999999999964, 2, 10,
|
1129 |
|
|
20.000000000000000 },
|
1130 |
|
|
{ 156.00000000000000, 2, 10,
|
1131 |
|
|
30.000000000000000 },
|
1132 |
|
|
{ 386.00000000000000, 2, 10,
|
1133 |
|
|
40.000000000000000 },
|
1134 |
|
|
{ 716.00000000000000, 2, 10,
|
1135 |
|
|
50.000000000000000 },
|
1136 |
|
|
{ 1146.0000000000000, 2, 10,
|
1137 |
|
|
60.000000000000000 },
|
1138 |
|
|
{ 1676.0000000000000, 2, 10,
|
1139 |
|
|
70.000000000000000 },
|
1140 |
|
|
{ 2306.0000000000000, 2, 10,
|
1141 |
|
|
80.000000000000000 },
|
1142 |
|
|
{ 3036.0000000000000, 2, 10,
|
1143 |
|
|
90.000000000000000 },
|
1144 |
|
|
{ 3866.0000000000000, 2, 10,
|
1145 |
|
|
100.00000000000000 },
|
1146 |
|
|
};
|
1147 |
|
|
|
1148 |
|
|
// Test function for n=2, m=10.
|
1149 |
|
|
template <typename Tp>
|
1150 |
|
|
void test021()
|
1151 |
|
|
{
|
1152 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1153 |
|
|
Tp max_abs_diff = -Tp(1);
|
1154 |
|
|
Tp max_abs_frac = -Tp(1);
|
1155 |
|
|
unsigned int num_datum = sizeof(data021)
|
1156 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1157 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1158 |
|
|
{
|
1159 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data021[i].n), Tp(data021[i].m),
|
1160 |
|
|
Tp(data021[i].x));
|
1161 |
|
|
const Tp f0 = data021[i].f0;
|
1162 |
|
|
const Tp diff = f - f0;
|
1163 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1164 |
|
|
max_abs_diff = std::abs(diff);
|
1165 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1166 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1167 |
|
|
{
|
1168 |
|
|
const Tp frac = diff / f0;
|
1169 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1170 |
|
|
max_abs_frac = std::abs(frac);
|
1171 |
|
|
}
|
1172 |
|
|
}
|
1173 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1174 |
|
|
}
|
1175 |
|
|
|
1176 |
|
|
// Test data for n=2, m=20.
|
1177 |
|
|
testcase_assoc_laguerre<double> data022[] = {
|
1178 |
|
|
{ 231.00000000000000, 2, 20,
|
1179 |
|
|
0.0000000000000000 },
|
1180 |
|
|
{ 61.000000000000206, 2, 20,
|
1181 |
|
|
10.000000000000000 },
|
1182 |
|
|
{ -8.9999999999999982, 2, 20,
|
1183 |
|
|
20.000000000000000 },
|
1184 |
|
|
{ 21.000000000000135, 2, 20,
|
1185 |
|
|
30.000000000000000 },
|
1186 |
|
|
{ 151.00000000000054, 2, 20,
|
1187 |
|
|
40.000000000000000 },
|
1188 |
|
|
{ 381.00000000000000, 2, 20,
|
1189 |
|
|
50.000000000000000 },
|
1190 |
|
|
{ 711.00000000000000, 2, 20,
|
1191 |
|
|
60.000000000000000 },
|
1192 |
|
|
{ 1141.0000000000000, 2, 20,
|
1193 |
|
|
70.000000000000000 },
|
1194 |
|
|
{ 1670.9999999999998, 2, 20,
|
1195 |
|
|
80.000000000000000 },
|
1196 |
|
|
{ 2301.0000000000000, 2, 20,
|
1197 |
|
|
90.000000000000000 },
|
1198 |
|
|
{ 3031.0000000000000, 2, 20,
|
1199 |
|
|
100.00000000000000 },
|
1200 |
|
|
};
|
1201 |
|
|
|
1202 |
|
|
// Test function for n=2, m=20.
|
1203 |
|
|
template <typename Tp>
|
1204 |
|
|
void test022()
|
1205 |
|
|
{
|
1206 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1207 |
|
|
Tp max_abs_diff = -Tp(1);
|
1208 |
|
|
Tp max_abs_frac = -Tp(1);
|
1209 |
|
|
unsigned int num_datum = sizeof(data022)
|
1210 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1211 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1212 |
|
|
{
|
1213 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data022[i].n), Tp(data022[i].m),
|
1214 |
|
|
Tp(data022[i].x));
|
1215 |
|
|
const Tp f0 = data022[i].f0;
|
1216 |
|
|
const Tp diff = f - f0;
|
1217 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1218 |
|
|
max_abs_diff = std::abs(diff);
|
1219 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1220 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1221 |
|
|
{
|
1222 |
|
|
const Tp frac = diff / f0;
|
1223 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1224 |
|
|
max_abs_frac = std::abs(frac);
|
1225 |
|
|
}
|
1226 |
|
|
}
|
1227 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
|
1228 |
|
|
}
|
1229 |
|
|
|
1230 |
|
|
// Test data for n=2, m=50.
|
1231 |
|
|
testcase_assoc_laguerre<double> data023[] = {
|
1232 |
|
|
{ 1326.0000000000000, 2, 50,
|
1233 |
|
|
0.0000000000000000 },
|
1234 |
|
|
{ 855.99999999999716, 2, 50,
|
1235 |
|
|
10.000000000000000 },
|
1236 |
|
|
{ 485.99999999999829, 2, 50,
|
1237 |
|
|
20.000000000000000 },
|
1238 |
|
|
{ 215.99999999999935, 2, 50,
|
1239 |
|
|
30.000000000000000 },
|
1240 |
|
|
{ 45.999999999999787, 2, 50,
|
1241 |
|
|
40.000000000000000 },
|
1242 |
|
|
{ -23.999999999999684, 2, 50,
|
1243 |
|
|
50.000000000000000 },
|
1244 |
|
|
{ 6.0000000000001217, 2, 50,
|
1245 |
|
|
60.000000000000000 },
|
1246 |
|
|
{ 135.99999999999972, 2, 50,
|
1247 |
|
|
70.000000000000000 },
|
1248 |
|
|
{ 365.99999999999892, 2, 50,
|
1249 |
|
|
80.000000000000000 },
|
1250 |
|
|
{ 695.99999999999784, 2, 50,
|
1251 |
|
|
90.000000000000000 },
|
1252 |
|
|
{ 1125.9999999999964, 2, 50,
|
1253 |
|
|
100.00000000000000 },
|
1254 |
|
|
};
|
1255 |
|
|
|
1256 |
|
|
// Test function for n=2, m=50.
|
1257 |
|
|
template <typename Tp>
|
1258 |
|
|
void test023()
|
1259 |
|
|
{
|
1260 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1261 |
|
|
Tp max_abs_diff = -Tp(1);
|
1262 |
|
|
Tp max_abs_frac = -Tp(1);
|
1263 |
|
|
unsigned int num_datum = sizeof(data023)
|
1264 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1265 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1266 |
|
|
{
|
1267 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data023[i].n), Tp(data023[i].m),
|
1268 |
|
|
Tp(data023[i].x));
|
1269 |
|
|
const Tp f0 = data023[i].f0;
|
1270 |
|
|
const Tp diff = f - f0;
|
1271 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1272 |
|
|
max_abs_diff = std::abs(diff);
|
1273 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1274 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1275 |
|
|
{
|
1276 |
|
|
const Tp frac = diff / f0;
|
1277 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1278 |
|
|
max_abs_frac = std::abs(frac);
|
1279 |
|
|
}
|
1280 |
|
|
}
|
1281 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
|
1282 |
|
|
}
|
1283 |
|
|
|
1284 |
|
|
// Test data for n=2, m=100.
|
1285 |
|
|
testcase_assoc_laguerre<double> data024[] = {
|
1286 |
|
|
{ 5151.0000000000000, 2, 100,
|
1287 |
|
|
0.0000000000000000 },
|
1288 |
|
|
{ 4181.0000000000655, 2, 100,
|
1289 |
|
|
10.000000000000000 },
|
1290 |
|
|
{ 3311.0000000000518, 2, 100,
|
1291 |
|
|
20.000000000000000 },
|
1292 |
|
|
{ 2541.0000000000400, 2, 100,
|
1293 |
|
|
30.000000000000000 },
|
1294 |
|
|
{ 1871.0000000000291, 2, 100,
|
1295 |
|
|
40.000000000000000 },
|
1296 |
|
|
{ 1301.0000000000207, 2, 100,
|
1297 |
|
|
50.000000000000000 },
|
1298 |
|
|
{ 831.00000000001364, 2, 100,
|
1299 |
|
|
60.000000000000000 },
|
1300 |
|
|
{ 461.00000000000682, 2, 100,
|
1301 |
|
|
70.000000000000000 },
|
1302 |
|
|
{ 191.00000000000227, 2, 100,
|
1303 |
|
|
80.000000000000000 },
|
1304 |
|
|
{ 21.000000000000128, 2, 100,
|
1305 |
|
|
90.000000000000000 },
|
1306 |
|
|
{ -49.000000000000369, 2, 100,
|
1307 |
|
|
100.00000000000000 },
|
1308 |
|
|
};
|
1309 |
|
|
|
1310 |
|
|
// Test function for n=2, m=100.
|
1311 |
|
|
template <typename Tp>
|
1312 |
|
|
void test024()
|
1313 |
|
|
{
|
1314 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1315 |
|
|
Tp max_abs_diff = -Tp(1);
|
1316 |
|
|
Tp max_abs_frac = -Tp(1);
|
1317 |
|
|
unsigned int num_datum = sizeof(data024)
|
1318 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1319 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1320 |
|
|
{
|
1321 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data024[i].n), Tp(data024[i].m),
|
1322 |
|
|
Tp(data024[i].x));
|
1323 |
|
|
const Tp f0 = data024[i].f0;
|
1324 |
|
|
const Tp diff = f - f0;
|
1325 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1326 |
|
|
max_abs_diff = std::abs(diff);
|
1327 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1328 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1329 |
|
|
{
|
1330 |
|
|
const Tp frac = diff / f0;
|
1331 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1332 |
|
|
max_abs_frac = std::abs(frac);
|
1333 |
|
|
}
|
1334 |
|
|
}
|
1335 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
1336 |
|
|
}
|
1337 |
|
|
|
1338 |
|
|
// Test data for n=5, m=0.
|
1339 |
|
|
testcase_assoc_laguerre<double> data025[] = {
|
1340 |
|
|
{ 1.0000000000000000, 5, 0,
|
1341 |
|
|
0.0000000000000000 },
|
1342 |
|
|
{ 34.333333333333329, 5, 0,
|
1343 |
|
|
10.000000000000000 },
|
1344 |
|
|
{ -4765.6666666666670, 5, 0,
|
1345 |
|
|
20.000000000000000 },
|
1346 |
|
|
{ -74399.000000000000, 5, 0,
|
1347 |
|
|
30.000000000000000 },
|
1348 |
|
|
{ -418865.66666666663, 5, 0,
|
1349 |
|
|
40.000000000000000 },
|
1350 |
|
|
{ -1498165.6666666665, 5, 0,
|
1351 |
|
|
50.000000000000000 },
|
1352 |
|
|
{ -4122299.0000000000, 5, 0,
|
1353 |
|
|
60.000000000000000 },
|
1354 |
|
|
{ -9551265.6666666679, 5, 0,
|
1355 |
|
|
70.000000000000000 },
|
1356 |
|
|
{ -19595065.666666664, 5, 0,
|
1357 |
|
|
80.000000000000000 },
|
1358 |
|
|
{ -36713699.000000000, 5, 0,
|
1359 |
|
|
90.000000000000000 },
|
1360 |
|
|
{ -64117165.666666664, 5, 0,
|
1361 |
|
|
100.00000000000000 },
|
1362 |
|
|
};
|
1363 |
|
|
|
1364 |
|
|
// Test function for n=5, m=0.
|
1365 |
|
|
template <typename Tp>
|
1366 |
|
|
void test025()
|
1367 |
|
|
{
|
1368 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1369 |
|
|
Tp max_abs_diff = -Tp(1);
|
1370 |
|
|
Tp max_abs_frac = -Tp(1);
|
1371 |
|
|
unsigned int num_datum = sizeof(data025)
|
1372 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1373 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1374 |
|
|
{
|
1375 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data025[i].n), Tp(data025[i].m),
|
1376 |
|
|
Tp(data025[i].x));
|
1377 |
|
|
const Tp f0 = data025[i].f0;
|
1378 |
|
|
const Tp diff = f - f0;
|
1379 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1380 |
|
|
max_abs_diff = std::abs(diff);
|
1381 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1382 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1383 |
|
|
{
|
1384 |
|
|
const Tp frac = diff / f0;
|
1385 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1386 |
|
|
max_abs_frac = std::abs(frac);
|
1387 |
|
|
}
|
1388 |
|
|
}
|
1389 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1390 |
|
|
}
|
1391 |
|
|
|
1392 |
|
|
// Test data for n=5, m=1.
|
1393 |
|
|
testcase_assoc_laguerre<double> data026[] = {
|
1394 |
|
|
{ 6.0000000000000000, 5, 1,
|
1395 |
|
|
0.0000000000000000 },
|
1396 |
|
|
{ 22.666666666666661, 5, 1,
|
1397 |
|
|
10.000000000000000 },
|
1398 |
|
|
{ -2960.6666666666661, 5, 1,
|
1399 |
|
|
20.000000000000000 },
|
1400 |
|
|
{ -58944.000000000000, 5, 1,
|
1401 |
|
|
30.000000000000000 },
|
1402 |
|
|
{ -357927.33333333326, 5, 1,
|
1403 |
|
|
40.000000000000000 },
|
1404 |
|
|
{ -1329910.6666666665, 5, 1,
|
1405 |
|
|
50.000000000000000 },
|
1406 |
|
|
{ -3744894.0000000000, 5, 1,
|
1407 |
|
|
60.000000000000000 },
|
1408 |
|
|
{ -8812877.3333333321, 5, 1,
|
1409 |
|
|
70.000000000000000 },
|
1410 |
|
|
{ -18283860.666666664, 5, 1,
|
1411 |
|
|
80.000000000000000 },
|
1412 |
|
|
{ -34547844.000000000, 5, 1,
|
1413 |
|
|
90.000000000000000 },
|
1414 |
|
|
{ -60734827.333333336, 5, 1,
|
1415 |
|
|
100.00000000000000 },
|
1416 |
|
|
};
|
1417 |
|
|
|
1418 |
|
|
// Test function for n=5, m=1.
|
1419 |
|
|
template <typename Tp>
|
1420 |
|
|
void test026()
|
1421 |
|
|
{
|
1422 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1423 |
|
|
Tp max_abs_diff = -Tp(1);
|
1424 |
|
|
Tp max_abs_frac = -Tp(1);
|
1425 |
|
|
unsigned int num_datum = sizeof(data026)
|
1426 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1427 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1428 |
|
|
{
|
1429 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data026[i].n), Tp(data026[i].m),
|
1430 |
|
|
Tp(data026[i].x));
|
1431 |
|
|
const Tp f0 = data026[i].f0;
|
1432 |
|
|
const Tp diff = f - f0;
|
1433 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1434 |
|
|
max_abs_diff = std::abs(diff);
|
1435 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1436 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1437 |
|
|
{
|
1438 |
|
|
const Tp frac = diff / f0;
|
1439 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1440 |
|
|
max_abs_frac = std::abs(frac);
|
1441 |
|
|
}
|
1442 |
|
|
}
|
1443 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1444 |
|
|
}
|
1445 |
|
|
|
1446 |
|
|
// Test data for n=5, m=2.
|
1447 |
|
|
testcase_assoc_laguerre<double> data027[] = {
|
1448 |
|
|
{ 21.000000000000000, 5, 2,
|
1449 |
|
|
0.0000000000000000 },
|
1450 |
|
|
{ 4.3333333333333339, 5, 2,
|
1451 |
|
|
10.000000000000000 },
|
1452 |
|
|
{ -1679.0000000000000, 5, 2,
|
1453 |
|
|
20.000000000000000 },
|
1454 |
|
|
{ -46029.000000000000, 5, 2,
|
1455 |
|
|
30.000000000000000 },
|
1456 |
|
|
{ -304045.66666666669, 5, 2,
|
1457 |
|
|
40.000000000000000 },
|
1458 |
|
|
{ -1176729.0000000002, 5, 2,
|
1459 |
|
|
50.000000000000000 },
|
1460 |
|
|
{ -3395079.0000000000, 5, 2,
|
1461 |
|
|
60.000000000000000 },
|
1462 |
|
|
{ -8120095.6666666660, 5, 2,
|
1463 |
|
|
70.000000000000000 },
|
1464 |
|
|
{ -17042778.999999996, 5, 2,
|
1465 |
|
|
80.000000000000000 },
|
1466 |
|
|
{ -32484129.000000000, 5, 2,
|
1467 |
|
|
90.000000000000000 },
|
1468 |
|
|
{ -57495145.666666664, 5, 2,
|
1469 |
|
|
100.00000000000000 },
|
1470 |
|
|
};
|
1471 |
|
|
|
1472 |
|
|
// Test function for n=5, m=2.
|
1473 |
|
|
template <typename Tp>
|
1474 |
|
|
void test027()
|
1475 |
|
|
{
|
1476 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1477 |
|
|
Tp max_abs_diff = -Tp(1);
|
1478 |
|
|
Tp max_abs_frac = -Tp(1);
|
1479 |
|
|
unsigned int num_datum = sizeof(data027)
|
1480 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1481 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1482 |
|
|
{
|
1483 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data027[i].n), Tp(data027[i].m),
|
1484 |
|
|
Tp(data027[i].x));
|
1485 |
|
|
const Tp f0 = data027[i].f0;
|
1486 |
|
|
const Tp diff = f - f0;
|
1487 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1488 |
|
|
max_abs_diff = std::abs(diff);
|
1489 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1490 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1491 |
|
|
{
|
1492 |
|
|
const Tp frac = diff / f0;
|
1493 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1494 |
|
|
max_abs_frac = std::abs(frac);
|
1495 |
|
|
}
|
1496 |
|
|
}
|
1497 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1498 |
|
|
}
|
1499 |
|
|
|
1500 |
|
|
// Test data for n=5, m=5.
|
1501 |
|
|
testcase_assoc_laguerre<double> data028[] = {
|
1502 |
|
|
{ 252.00000000000000, 5, 5,
|
1503 |
|
|
0.0000000000000000 },
|
1504 |
|
|
{ -14.666666666666657, 5, 5,
|
1505 |
|
|
10.000000000000000 },
|
1506 |
|
|
{ 51.999999999999957, 5, 5,
|
1507 |
|
|
20.000000000000000 },
|
1508 |
|
|
{ -19548.000000000000, 5, 5,
|
1509 |
|
|
30.000000000000000 },
|
1510 |
|
|
{ -178814.66666666660, 5, 5,
|
1511 |
|
|
40.000000000000000 },
|
1512 |
|
|
{ -797747.99999999977, 5, 5,
|
1513 |
|
|
50.000000000000000 },
|
1514 |
|
|
{ -2496348.0000000000, 5, 5,
|
1515 |
|
|
60.000000000000000 },
|
1516 |
|
|
{ -6294614.6666666660, 5, 5,
|
1517 |
|
|
70.000000000000000 },
|
1518 |
|
|
{ -13712547.999999996, 5, 5,
|
1519 |
|
|
80.000000000000000 },
|
1520 |
|
|
{ -26870147.999999993, 5, 5,
|
1521 |
|
|
90.000000000000000 },
|
1522 |
|
|
{ -48587414.666666672, 5, 5,
|
1523 |
|
|
100.00000000000000 },
|
1524 |
|
|
};
|
1525 |
|
|
|
1526 |
|
|
// Test function for n=5, m=5.
|
1527 |
|
|
template <typename Tp>
|
1528 |
|
|
void test028()
|
1529 |
|
|
{
|
1530 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1531 |
|
|
Tp max_abs_diff = -Tp(1);
|
1532 |
|
|
Tp max_abs_frac = -Tp(1);
|
1533 |
|
|
unsigned int num_datum = sizeof(data028)
|
1534 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1535 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1536 |
|
|
{
|
1537 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data028[i].n), Tp(data028[i].m),
|
1538 |
|
|
Tp(data028[i].x));
|
1539 |
|
|
const Tp f0 = data028[i].f0;
|
1540 |
|
|
const Tp diff = f - f0;
|
1541 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1542 |
|
|
max_abs_diff = std::abs(diff);
|
1543 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1544 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1545 |
|
|
{
|
1546 |
|
|
const Tp frac = diff / f0;
|
1547 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1548 |
|
|
max_abs_frac = std::abs(frac);
|
1549 |
|
|
}
|
1550 |
|
|
}
|
1551 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1552 |
|
|
}
|
1553 |
|
|
|
1554 |
|
|
// Test data for n=5, m=10.
|
1555 |
|
|
testcase_assoc_laguerre<double> data029[] = {
|
1556 |
|
|
{ 3003.0000000000000, 5, 10,
|
1557 |
|
|
0.0000000000000000 },
|
1558 |
|
|
{ 19.666666666666668, 5, 10,
|
1559 |
|
|
10.000000000000000 },
|
1560 |
|
|
{ 36.333333333333272, 5, 10,
|
1561 |
|
|
20.000000000000000 },
|
1562 |
|
|
{ -1947.0000000000000, 5, 10,
|
1563 |
|
|
30.000000000000000 },
|
1564 |
|
|
{ -60930.333333333314, 5, 10,
|
1565 |
|
|
40.000000000000000 },
|
1566 |
|
|
{ -381913.66666666651, 5, 10,
|
1567 |
|
|
50.000000000000000 },
|
1568 |
|
|
{ -1419897.0000000000, 5, 10,
|
1569 |
|
|
60.000000000000000 },
|
1570 |
|
|
{ -3979880.3333333330, 5, 10,
|
1571 |
|
|
70.000000000000000 },
|
1572 |
|
|
{ -9316863.6666666642, 5, 10,
|
1573 |
|
|
80.000000000000000 },
|
1574 |
|
|
{ -19235847.000000000, 5, 10,
|
1575 |
|
|
90.000000000000000 },
|
1576 |
|
|
{ -36191830.333333328, 5, 10,
|
1577 |
|
|
100.00000000000000 },
|
1578 |
|
|
};
|
1579 |
|
|
|
1580 |
|
|
// Test function for n=5, m=10.
|
1581 |
|
|
template <typename Tp>
|
1582 |
|
|
void test029()
|
1583 |
|
|
{
|
1584 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1585 |
|
|
Tp max_abs_diff = -Tp(1);
|
1586 |
|
|
Tp max_abs_frac = -Tp(1);
|
1587 |
|
|
unsigned int num_datum = sizeof(data029)
|
1588 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1589 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1590 |
|
|
{
|
1591 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data029[i].n), Tp(data029[i].m),
|
1592 |
|
|
Tp(data029[i].x));
|
1593 |
|
|
const Tp f0 = data029[i].f0;
|
1594 |
|
|
const Tp diff = f - f0;
|
1595 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1596 |
|
|
max_abs_diff = std::abs(diff);
|
1597 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1598 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1599 |
|
|
{
|
1600 |
|
|
const Tp frac = diff / f0;
|
1601 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1602 |
|
|
max_abs_frac = std::abs(frac);
|
1603 |
|
|
}
|
1604 |
|
|
}
|
1605 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1606 |
|
|
}
|
1607 |
|
|
|
1608 |
|
|
// Test data for n=5, m=20.
|
1609 |
|
|
testcase_assoc_laguerre<double> data030[] = {
|
1610 |
|
|
{ 53130.000000000000, 5, 20,
|
1611 |
|
|
0.0000000000000000 },
|
1612 |
|
|
{ 1213.3333333333335, 5, 20,
|
1613 |
|
|
10.000000000000000 },
|
1614 |
|
|
{ 129.99999999999963, 5, 20,
|
1615 |
|
|
20.000000000000000 },
|
1616 |
|
|
{ -119.99999999999974, 5, 20,
|
1617 |
|
|
30.000000000000000 },
|
1618 |
|
|
{ 463.33333333333320, 5, 20,
|
1619 |
|
|
40.000000000000000 },
|
1620 |
|
|
{ -48120.000000000015, 5, 20,
|
1621 |
|
|
50.000000000000000 },
|
1622 |
|
|
{ -345870.00000000017, 5, 20,
|
1623 |
|
|
60.000000000000000 },
|
1624 |
|
|
{ -1342786.6666666667, 5, 20,
|
1625 |
|
|
70.000000000000000 },
|
1626 |
|
|
{ -3838870.0000000009, 5, 20,
|
1627 |
|
|
80.000000000000000 },
|
1628 |
|
|
{ -9084120.0000000000, 5, 20,
|
1629 |
|
|
90.000000000000000 },
|
1630 |
|
|
{ -18878536.666666668, 5, 20,
|
1631 |
|
|
100.00000000000000 },
|
1632 |
|
|
};
|
1633 |
|
|
|
1634 |
|
|
// Test function for n=5, m=20.
|
1635 |
|
|
template <typename Tp>
|
1636 |
|
|
void test030()
|
1637 |
|
|
{
|
1638 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1639 |
|
|
Tp max_abs_diff = -Tp(1);
|
1640 |
|
|
Tp max_abs_frac = -Tp(1);
|
1641 |
|
|
unsigned int num_datum = sizeof(data030)
|
1642 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1643 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1644 |
|
|
{
|
1645 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data030[i].n), Tp(data030[i].m),
|
1646 |
|
|
Tp(data030[i].x));
|
1647 |
|
|
const Tp f0 = data030[i].f0;
|
1648 |
|
|
const Tp diff = f - f0;
|
1649 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1650 |
|
|
max_abs_diff = std::abs(diff);
|
1651 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1652 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1653 |
|
|
{
|
1654 |
|
|
const Tp frac = diff / f0;
|
1655 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1656 |
|
|
max_abs_frac = std::abs(frac);
|
1657 |
|
|
}
|
1658 |
|
|
}
|
1659 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1660 |
|
|
}
|
1661 |
|
|
|
1662 |
|
|
// Test data for n=5, m=50.
|
1663 |
|
|
testcase_assoc_laguerre<double> data031[] = {
|
1664 |
|
|
{ 3478761.0000000000, 5, 50,
|
1665 |
|
|
0.0000000000000000 },
|
1666 |
|
|
{ 1154544.3333333335, 5, 50,
|
1667 |
|
|
10.000000000000000 },
|
1668 |
|
|
{ 264661.00000000006, 5, 50,
|
1669 |
|
|
20.000000000000000 },
|
1670 |
|
|
{ 24111.000000000000, 5, 50,
|
1671 |
|
|
30.000000000000000 },
|
1672 |
|
|
{ -2105.6666666666665, 5, 50,
|
1673 |
|
|
40.000000000000000 },
|
1674 |
|
|
{ 1011.0000000000000, 5, 50,
|
1675 |
|
|
50.000000000000000 },
|
1676 |
|
|
{ -1538.9999999999955, 5, 50,
|
1677 |
|
|
60.000000000000000 },
|
1678 |
|
|
{ 5244.3333333333449, 5, 50,
|
1679 |
|
|
70.000000000000000 },
|
1680 |
|
|
{ -13639.000000000015, 5, 50,
|
1681 |
|
|
80.000000000000000 },
|
1682 |
|
|
{ -243189.00000000006, 5, 50,
|
1683 |
|
|
90.000000000000000 },
|
1684 |
|
|
{ -1118405.6666666667, 5, 50,
|
1685 |
|
|
100.00000000000000 },
|
1686 |
|
|
};
|
1687 |
|
|
|
1688 |
|
|
// Test function for n=5, m=50.
|
1689 |
|
|
template <typename Tp>
|
1690 |
|
|
void test031()
|
1691 |
|
|
{
|
1692 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1693 |
|
|
Tp max_abs_diff = -Tp(1);
|
1694 |
|
|
Tp max_abs_frac = -Tp(1);
|
1695 |
|
|
unsigned int num_datum = sizeof(data031)
|
1696 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1697 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1698 |
|
|
{
|
1699 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data031[i].n), Tp(data031[i].m),
|
1700 |
|
|
Tp(data031[i].x));
|
1701 |
|
|
const Tp f0 = data031[i].f0;
|
1702 |
|
|
const Tp diff = f - f0;
|
1703 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1704 |
|
|
max_abs_diff = std::abs(diff);
|
1705 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1706 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1707 |
|
|
{
|
1708 |
|
|
const Tp frac = diff / f0;
|
1709 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1710 |
|
|
max_abs_frac = std::abs(frac);
|
1711 |
|
|
}
|
1712 |
|
|
}
|
1713 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1714 |
|
|
}
|
1715 |
|
|
|
1716 |
|
|
// Test data for n=5, m=100.
|
1717 |
|
|
testcase_assoc_laguerre<double> data032[] = {
|
1718 |
|
|
{ 96560646.000000000, 5, 100,
|
1719 |
|
|
0.0000000000000000 },
|
1720 |
|
|
{ 57264262.666666649, 5, 100,
|
1721 |
|
|
10.000000000000000 },
|
1722 |
|
|
{ 31841379.333333332, 5, 100,
|
1723 |
|
|
20.000000000000000 },
|
1724 |
|
|
{ 16281996.000000000, 5, 100,
|
1725 |
|
|
30.000000000000000 },
|
1726 |
|
|
{ 7426112.6666666670, 5, 100,
|
1727 |
|
|
40.000000000000000 },
|
1728 |
|
|
{ 2863729.3333333330, 5, 100,
|
1729 |
|
|
50.000000000000000 },
|
1730 |
|
|
{ 834846.00000000000, 5, 100,
|
1731 |
|
|
60.000000000000000 },
|
1732 |
|
|
{ 129462.66666666663, 5, 100,
|
1733 |
|
|
70.000000000000000 },
|
1734 |
|
|
{ -12420.666666666666, 5, 100,
|
1735 |
|
|
80.000000000000000 },
|
1736 |
|
|
{ -804.00000000000000, 5, 100,
|
1737 |
|
|
90.000000000000000 },
|
1738 |
|
|
{ 4312.6666666666661, 5, 100,
|
1739 |
|
|
100.00000000000000 },
|
1740 |
|
|
};
|
1741 |
|
|
|
1742 |
|
|
// Test function for n=5, m=100.
|
1743 |
|
|
template <typename Tp>
|
1744 |
|
|
void test032()
|
1745 |
|
|
{
|
1746 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1747 |
|
|
Tp max_abs_diff = -Tp(1);
|
1748 |
|
|
Tp max_abs_frac = -Tp(1);
|
1749 |
|
|
unsigned int num_datum = sizeof(data032)
|
1750 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1751 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1752 |
|
|
{
|
1753 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data032[i].n), Tp(data032[i].m),
|
1754 |
|
|
Tp(data032[i].x));
|
1755 |
|
|
const Tp f0 = data032[i].f0;
|
1756 |
|
|
const Tp diff = f - f0;
|
1757 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1758 |
|
|
max_abs_diff = std::abs(diff);
|
1759 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1760 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1761 |
|
|
{
|
1762 |
|
|
const Tp frac = diff / f0;
|
1763 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1764 |
|
|
max_abs_frac = std::abs(frac);
|
1765 |
|
|
}
|
1766 |
|
|
}
|
1767 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1768 |
|
|
}
|
1769 |
|
|
|
1770 |
|
|
// Test data for n=10, m=0.
|
1771 |
|
|
testcase_assoc_laguerre<double> data033[] = {
|
1772 |
|
|
{ 1.0000000000000000, 10, 0,
|
1773 |
|
|
0.0000000000000000 },
|
1774 |
|
|
{ 27.984126984126981, 10, 0,
|
1775 |
|
|
10.000000000000000 },
|
1776 |
|
|
{ 3227.8077601410932, 10, 0,
|
1777 |
|
|
20.000000000000000 },
|
1778 |
|
|
{ 15129.571428571489, 10, 0,
|
1779 |
|
|
30.000000000000000 },
|
1780 |
|
|
{ 79724066.608465582, 10, 0,
|
1781 |
|
|
40.000000000000000 },
|
1782 |
|
|
{ 2037190065.3738980, 10, 0,
|
1783 |
|
|
50.000000000000000 },
|
1784 |
|
|
{ 21804200401.000000, 10, 0,
|
1785 |
|
|
60.000000000000000 },
|
1786 |
|
|
{ 144688291819.51855, 10, 0,
|
1787 |
|
|
70.000000000000000 },
|
1788 |
|
|
{ 703324772760.08276, 10, 0,
|
1789 |
|
|
80.000000000000000 },
|
1790 |
|
|
{ 2741055412243.8569, 10, 0,
|
1791 |
|
|
90.000000000000000 },
|
1792 |
|
|
{ 9051283795429.5723, 10, 0,
|
1793 |
|
|
100.00000000000000 },
|
1794 |
|
|
};
|
1795 |
|
|
|
1796 |
|
|
// Test function for n=10, m=0.
|
1797 |
|
|
template <typename Tp>
|
1798 |
|
|
void test033()
|
1799 |
|
|
{
|
1800 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1801 |
|
|
Tp max_abs_diff = -Tp(1);
|
1802 |
|
|
Tp max_abs_frac = -Tp(1);
|
1803 |
|
|
unsigned int num_datum = sizeof(data033)
|
1804 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1805 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1806 |
|
|
{
|
1807 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data033[i].n), Tp(data033[i].m),
|
1808 |
|
|
Tp(data033[i].x));
|
1809 |
|
|
const Tp f0 = data033[i].f0;
|
1810 |
|
|
const Tp diff = f - f0;
|
1811 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1812 |
|
|
max_abs_diff = std::abs(diff);
|
1813 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1814 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1815 |
|
|
{
|
1816 |
|
|
const Tp frac = diff / f0;
|
1817 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1818 |
|
|
max_abs_frac = std::abs(frac);
|
1819 |
|
|
}
|
1820 |
|
|
}
|
1821 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
|
1822 |
|
|
}
|
1823 |
|
|
|
1824 |
|
|
// Test data for n=10, m=1.
|
1825 |
|
|
testcase_assoc_laguerre<double> data034[] = {
|
1826 |
|
|
{ 11.000000000000000, 10, 1,
|
1827 |
|
|
0.0000000000000000 },
|
1828 |
|
|
{ 14.791887125220455, 10, 1,
|
1829 |
|
|
10.000000000000000 },
|
1830 |
|
|
{ 2704.6507936507933, 10, 1,
|
1831 |
|
|
20.000000000000000 },
|
1832 |
|
|
{ -182924.71428571426, 10, 1,
|
1833 |
|
|
30.000000000000000 },
|
1834 |
|
|
{ 48066036.749559075, 10, 1,
|
1835 |
|
|
40.000000000000000 },
|
1836 |
|
|
{ 1486264192.2169311, 10, 1,
|
1837 |
|
|
50.000000000000000 },
|
1838 |
|
|
{ 17239562282.428574, 10, 1,
|
1839 |
|
|
60.000000000000000 },
|
1840 |
|
|
{ 119837491630.13579, 10, 1,
|
1841 |
|
|
70.000000000000000 },
|
1842 |
|
|
{ 600681375251.21167, 10, 1,
|
1843 |
|
|
80.000000000000000 },
|
1844 |
|
|
{ 2392908405632.4287, 10, 1,
|
1845 |
|
|
90.000000000000000 },
|
1846 |
|
|
{ 8033035722509.2373, 10, 1,
|
1847 |
|
|
100.00000000000000 },
|
1848 |
|
|
};
|
1849 |
|
|
|
1850 |
|
|
// Test function for n=10, m=1.
|
1851 |
|
|
template <typename Tp>
|
1852 |
|
|
void test034()
|
1853 |
|
|
{
|
1854 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1855 |
|
|
Tp max_abs_diff = -Tp(1);
|
1856 |
|
|
Tp max_abs_frac = -Tp(1);
|
1857 |
|
|
unsigned int num_datum = sizeof(data034)
|
1858 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1859 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1860 |
|
|
{
|
1861 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data034[i].n), Tp(data034[i].m),
|
1862 |
|
|
Tp(data034[i].x));
|
1863 |
|
|
const Tp f0 = data034[i].f0;
|
1864 |
|
|
const Tp diff = f - f0;
|
1865 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1866 |
|
|
max_abs_diff = std::abs(diff);
|
1867 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1868 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1869 |
|
|
{
|
1870 |
|
|
const Tp frac = diff / f0;
|
1871 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1872 |
|
|
max_abs_frac = std::abs(frac);
|
1873 |
|
|
}
|
1874 |
|
|
}
|
1875 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1876 |
|
|
}
|
1877 |
|
|
|
1878 |
|
|
// Test data for n=10, m=2.
|
1879 |
|
|
testcase_assoc_laguerre<double> data035[] = {
|
1880 |
|
|
{ 66.000000000000000, 10, 2,
|
1881 |
|
|
0.0000000000000000 },
|
1882 |
|
|
{ -14.511463844797174, 10, 2,
|
1883 |
|
|
10.000000000000000 },
|
1884 |
|
|
{ 1064.5890652557318, 10, 2,
|
1885 |
|
|
20.000000000000000 },
|
1886 |
|
|
{ -194569.71428571426, 10, 2,
|
1887 |
|
|
30.000000000000000 },
|
1888 |
|
|
{ 27343569.350970022, 10, 2,
|
1889 |
|
|
40.000000000000000 },
|
1890 |
|
|
{ 1067807661.6790125, 10, 2,
|
1891 |
|
|
50.000000000000000 },
|
1892 |
|
|
{ 13529451580.285713, 10, 2,
|
1893 |
|
|
60.000000000000000 },
|
1894 |
|
|
{ 98812724224.641937, 10, 2,
|
1895 |
|
|
70.000000000000000 },
|
1896 |
|
|
{ 511482736187.34021, 10, 2,
|
1897 |
|
|
80.000000000000000 },
|
1898 |
|
|
{ 2084478393087.4285, 10, 2,
|
1899 |
|
|
90.000000000000000 },
|
1900 |
|
|
{ 7117724862237.0752, 10, 2,
|
1901 |
|
|
100.00000000000000 },
|
1902 |
|
|
};
|
1903 |
|
|
|
1904 |
|
|
// Test function for n=10, m=2.
|
1905 |
|
|
template <typename Tp>
|
1906 |
|
|
void test035()
|
1907 |
|
|
{
|
1908 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1909 |
|
|
Tp max_abs_diff = -Tp(1);
|
1910 |
|
|
Tp max_abs_frac = -Tp(1);
|
1911 |
|
|
unsigned int num_datum = sizeof(data035)
|
1912 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1913 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1914 |
|
|
{
|
1915 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data035[i].n), Tp(data035[i].m),
|
1916 |
|
|
Tp(data035[i].x));
|
1917 |
|
|
const Tp f0 = data035[i].f0;
|
1918 |
|
|
const Tp diff = f - f0;
|
1919 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1920 |
|
|
max_abs_diff = std::abs(diff);
|
1921 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1922 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1923 |
|
|
{
|
1924 |
|
|
const Tp frac = diff / f0;
|
1925 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1926 |
|
|
max_abs_frac = std::abs(frac);
|
1927 |
|
|
}
|
1928 |
|
|
}
|
1929 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1930 |
|
|
}
|
1931 |
|
|
|
1932 |
|
|
// Test data for n=10, m=5.
|
1933 |
|
|
testcase_assoc_laguerre<double> data036[] = {
|
1934 |
|
|
{ 3003.0000000000000, 10, 5,
|
1935 |
|
|
0.0000000000000000 },
|
1936 |
|
|
{ 11.641975308642024, 10, 5,
|
1937 |
|
|
10.000000000000000 },
|
1938 |
|
|
{ -1137.5643738977069, 10, 5,
|
1939 |
|
|
20.000000000000000 },
|
1940 |
|
|
{ -9254.1428571428605, 10, 5,
|
1941 |
|
|
30.000000000000000 },
|
1942 |
|
|
{ 2121878.8377425023, 10, 5,
|
1943 |
|
|
40.000000000000000 },
|
1944 |
|
|
{ 352060171.43033499, 10, 5,
|
1945 |
|
|
50.000000000000000 },
|
1946 |
|
|
{ 6212028560.1428576, 10, 5,
|
1947 |
|
|
60.000000000000000 },
|
1948 |
|
|
{ 53782171674.604919, 10, 5,
|
1949 |
|
|
70.000000000000000 },
|
1950 |
|
|
{ 309720255837.56775, 10, 5,
|
1951 |
|
|
80.000000000000000 },
|
1952 |
|
|
{ 1359043035731.5713, 10, 5,
|
1953 |
|
|
90.000000000000000 },
|
1954 |
|
|
{ 4900625954398.9434, 10, 5,
|
1955 |
|
|
100.00000000000000 },
|
1956 |
|
|
};
|
1957 |
|
|
|
1958 |
|
|
// Test function for n=10, m=5.
|
1959 |
|
|
template <typename Tp>
|
1960 |
|
|
void test036()
|
1961 |
|
|
{
|
1962 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
1963 |
|
|
Tp max_abs_diff = -Tp(1);
|
1964 |
|
|
Tp max_abs_frac = -Tp(1);
|
1965 |
|
|
unsigned int num_datum = sizeof(data036)
|
1966 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
1967 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
1968 |
|
|
{
|
1969 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data036[i].n), Tp(data036[i].m),
|
1970 |
|
|
Tp(data036[i].x));
|
1971 |
|
|
const Tp f0 = data036[i].f0;
|
1972 |
|
|
const Tp diff = f - f0;
|
1973 |
|
|
if (std::abs(diff) > max_abs_diff)
|
1974 |
|
|
max_abs_diff = std::abs(diff);
|
1975 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
1976 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
1977 |
|
|
{
|
1978 |
|
|
const Tp frac = diff / f0;
|
1979 |
|
|
if (std::abs(frac) > max_abs_frac)
|
1980 |
|
|
max_abs_frac = std::abs(frac);
|
1981 |
|
|
}
|
1982 |
|
|
}
|
1983 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
1984 |
|
|
}
|
1985 |
|
|
|
1986 |
|
|
// Test data for n=10, m=10.
|
1987 |
|
|
testcase_assoc_laguerre<double> data037[] = {
|
1988 |
|
|
{ 184756.00000000000, 10, 10,
|
1989 |
|
|
0.0000000000000000 },
|
1990 |
|
|
{ -210.84303350970018, 10, 10,
|
1991 |
|
|
10.000000000000000 },
|
1992 |
|
|
{ 508.38095238095184, 10, 10,
|
1993 |
|
|
20.000000000000000 },
|
1994 |
|
|
{ 2098.8571428571431, 10, 10,
|
1995 |
|
|
30.000000000000000 },
|
1996 |
|
|
{ -536338.88536155189, 10, 10,
|
1997 |
|
|
40.000000000000000 },
|
1998 |
|
|
{ 24865988.804232784, 10, 10,
|
1999 |
|
|
50.000000000000000 },
|
2000 |
|
|
{ 1343756013.1428571, 10, 10,
|
2001 |
|
|
60.000000000000000 },
|
2002 |
|
|
{ 17298791247.358025, 10, 10,
|
2003 |
|
|
70.000000000000000 },
|
2004 |
|
|
{ 124528450897.79892, 10, 10,
|
2005 |
|
|
80.000000000000000 },
|
2006 |
|
|
{ 632674413641.71423, 10, 10,
|
2007 |
|
|
90.000000000000000 },
|
2008 |
|
|
{ 2533008935405.0298, 10, 10,
|
2009 |
|
|
100.00000000000000 },
|
2010 |
|
|
};
|
2011 |
|
|
|
2012 |
|
|
// Test function for n=10, m=10.
|
2013 |
|
|
template <typename Tp>
|
2014 |
|
|
void test037()
|
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(data037)
|
2020 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2021 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2022 |
|
|
{
|
2023 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data037[i].n), Tp(data037[i].m),
|
2024 |
|
|
Tp(data037[i].x));
|
2025 |
|
|
const Tp f0 = data037[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 n=10, m=20.
|
2041 |
|
|
testcase_assoc_laguerre<double> data038[] = {
|
2042 |
|
|
{ 30045014.999999993, 10, 20,
|
2043 |
|
|
0.0000000000000000 },
|
2044 |
|
|
{ -23087.733686067022, 10, 20,
|
2045 |
|
|
10.000000000000000 },
|
2046 |
|
|
{ 207.23985890652347, 10, 20,
|
2047 |
|
|
20.000000000000000 },
|
2048 |
|
|
{ 1407.8571428571497, 10, 20,
|
2049 |
|
|
30.000000000000000 },
|
2050 |
|
|
{ -44618.156966490329, 10, 20,
|
2051 |
|
|
40.000000000000000 },
|
2052 |
|
|
{ 158690.04409171085, 10, 20,
|
2053 |
|
|
50.000000000000000 },
|
2054 |
|
|
{ -6870413.5714285728, 10, 20,
|
2055 |
|
|
60.000000000000000 },
|
2056 |
|
|
{ 793841351.41975331, 10, 20,
|
2057 |
|
|
70.000000000000000 },
|
2058 |
|
|
{ 13358288958.562618, 10, 20,
|
2059 |
|
|
80.000000000000000 },
|
2060 |
|
|
{ 106073722407.85715, 10, 20,
|
2061 |
|
|
90.000000000000000 },
|
2062 |
|
|
{ 566337213392.42493, 10, 20,
|
2063 |
|
|
100.00000000000000 },
|
2064 |
|
|
};
|
2065 |
|
|
|
2066 |
|
|
// Test function for n=10, m=20.
|
2067 |
|
|
template <typename Tp>
|
2068 |
|
|
void test038()
|
2069 |
|
|
{
|
2070 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2071 |
|
|
Tp max_abs_diff = -Tp(1);
|
2072 |
|
|
Tp max_abs_frac = -Tp(1);
|
2073 |
|
|
unsigned int num_datum = sizeof(data038)
|
2074 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2075 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2076 |
|
|
{
|
2077 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data038[i].n), Tp(data038[i].m),
|
2078 |
|
|
Tp(data038[i].x));
|
2079 |
|
|
const Tp f0 = data038[i].f0;
|
2080 |
|
|
const Tp diff = f - f0;
|
2081 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2082 |
|
|
max_abs_diff = std::abs(diff);
|
2083 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2084 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2085 |
|
|
{
|
2086 |
|
|
const Tp frac = diff / f0;
|
2087 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2088 |
|
|
max_abs_frac = std::abs(frac);
|
2089 |
|
|
}
|
2090 |
|
|
}
|
2091 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
2092 |
|
|
}
|
2093 |
|
|
|
2094 |
|
|
// Test data for n=10, m=50.
|
2095 |
|
|
testcase_assoc_laguerre<double> data039[] = {
|
2096 |
|
|
{ 75394027566.000000, 10, 50,
|
2097 |
|
|
0.0000000000000000 },
|
2098 |
|
|
{ 8048106183.3721361, 10, 50,
|
2099 |
|
|
10.000000000000000 },
|
2100 |
|
|
{ 328045023.84832466, 10, 50,
|
2101 |
|
|
20.000000000000000 },
|
2102 |
|
|
{ -2568769.7142857141, 10, 50,
|
2103 |
|
|
30.000000000000000 },
|
2104 |
|
|
{ 6971.9964726631733, 10, 50,
|
2105 |
|
|
40.000000000000000 },
|
2106 |
|
|
{ 136111.41446208110, 10, 50,
|
2107 |
|
|
50.000000000000000 },
|
2108 |
|
|
{ -62462.571428570242, 10, 50,
|
2109 |
|
|
60.000000000000000 },
|
2110 |
|
|
{ -248167.95061728527, 10, 50,
|
2111 |
|
|
70.000000000000000 },
|
2112 |
|
|
{ 1941270.4091710777, 10, 50,
|
2113 |
|
|
80.000000000000000 },
|
2114 |
|
|
{ -8643512.5714285783, 10, 50,
|
2115 |
|
|
90.000000000000000 },
|
2116 |
|
|
{ -140863522.18342155, 10, 50,
|
2117 |
|
|
100.00000000000000 },
|
2118 |
|
|
};
|
2119 |
|
|
|
2120 |
|
|
// Test function for n=10, m=50.
|
2121 |
|
|
template <typename Tp>
|
2122 |
|
|
void test039()
|
2123 |
|
|
{
|
2124 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2125 |
|
|
Tp max_abs_diff = -Tp(1);
|
2126 |
|
|
Tp max_abs_frac = -Tp(1);
|
2127 |
|
|
unsigned int num_datum = sizeof(data039)
|
2128 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2129 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2130 |
|
|
{
|
2131 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data039[i].n), Tp(data039[i].m),
|
2132 |
|
|
Tp(data039[i].x));
|
2133 |
|
|
const Tp f0 = data039[i].f0;
|
2134 |
|
|
const Tp diff = f - f0;
|
2135 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2136 |
|
|
max_abs_diff = std::abs(diff);
|
2137 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2138 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2139 |
|
|
{
|
2140 |
|
|
const Tp frac = diff / f0;
|
2141 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2142 |
|
|
max_abs_frac = std::abs(frac);
|
2143 |
|
|
}
|
2144 |
|
|
}
|
2145 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
2146 |
|
|
}
|
2147 |
|
|
|
2148 |
|
|
// Test data for n=10, m=100.
|
2149 |
|
|
testcase_assoc_laguerre<double> data040[] = {
|
2150 |
|
|
{ 46897636623981.000, 10, 100,
|
2151 |
|
|
0.0000000000000000 },
|
2152 |
|
|
{ 16444031323272.084, 10, 100,
|
2153 |
|
|
10.000000000000000 },
|
2154 |
|
|
{ 5020343986463.5391, 10, 100,
|
2155 |
|
|
20.000000000000000 },
|
2156 |
|
|
{ 1270977490645.2859, 10, 100,
|
2157 |
|
|
30.000000000000000 },
|
2158 |
|
|
{ 244835756822.62262, 10, 100,
|
2159 |
|
|
40.000000000000000 },
|
2160 |
|
|
{ 29786827693.962963, 10, 100,
|
2161 |
|
|
50.000000000000000 },
|
2162 |
|
|
{ 1127612095.2857144, 10, 100,
|
2163 |
|
|
60.000000000000000 },
|
2164 |
|
|
{ -66370555.419753075, 10, 100,
|
2165 |
|
|
70.000000000000000 },
|
2166 |
|
|
{ 10420852.957671957, 10, 100,
|
2167 |
|
|
80.000000000000000 },
|
2168 |
|
|
{ -3373097.5714285718, 10, 100,
|
2169 |
|
|
90.000000000000000 },
|
2170 |
|
|
{ 2065423.6807760142, 10, 100,
|
2171 |
|
|
100.00000000000000 },
|
2172 |
|
|
};
|
2173 |
|
|
|
2174 |
|
|
// Test function for n=10, m=100.
|
2175 |
|
|
template <typename Tp>
|
2176 |
|
|
void test040()
|
2177 |
|
|
{
|
2178 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2179 |
|
|
Tp max_abs_diff = -Tp(1);
|
2180 |
|
|
Tp max_abs_frac = -Tp(1);
|
2181 |
|
|
unsigned int num_datum = sizeof(data040)
|
2182 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2183 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2184 |
|
|
{
|
2185 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data040[i].n), Tp(data040[i].m),
|
2186 |
|
|
Tp(data040[i].x));
|
2187 |
|
|
const Tp f0 = data040[i].f0;
|
2188 |
|
|
const Tp diff = f - f0;
|
2189 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2190 |
|
|
max_abs_diff = std::abs(diff);
|
2191 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2192 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2193 |
|
|
{
|
2194 |
|
|
const Tp frac = diff / f0;
|
2195 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2196 |
|
|
max_abs_frac = std::abs(frac);
|
2197 |
|
|
}
|
2198 |
|
|
}
|
2199 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2200 |
|
|
}
|
2201 |
|
|
|
2202 |
|
|
// Test data for n=20, m=0.
|
2203 |
|
|
testcase_assoc_laguerre<double> data041[] = {
|
2204 |
|
|
{ 1.0000000000000000, 20, 0,
|
2205 |
|
|
0.0000000000000000 },
|
2206 |
|
|
{ -11.961333867812119, 20, 0,
|
2207 |
|
|
10.000000000000000 },
|
2208 |
|
|
{ 2829.4728613531738, 20, 0,
|
2209 |
|
|
20.000000000000000 },
|
2210 |
|
|
{ -18439.424502520938, 20, 0,
|
2211 |
|
|
30.000000000000000 },
|
2212 |
|
|
{ 24799805.877530701, 20, 0,
|
2213 |
|
|
40.000000000000000 },
|
2214 |
|
|
{ 7551960453.7672529, 20, 0,
|
2215 |
|
|
50.000000000000000 },
|
2216 |
|
|
{ -1379223608444.9155, 20, 0,
|
2217 |
|
|
60.000000000000000 },
|
2218 |
|
|
{ 165423821874449.94, 20, 0,
|
2219 |
|
|
70.000000000000000 },
|
2220 |
|
|
{ 29500368536981676., 20, 0,
|
2221 |
|
|
80.000000000000000 },
|
2222 |
|
|
{ 1.1292309514432899e+18, 20, 0,
|
2223 |
|
|
90.000000000000000 },
|
2224 |
|
|
{ 2.2061882785931735e+19, 20, 0,
|
2225 |
|
|
100.00000000000000 },
|
2226 |
|
|
};
|
2227 |
|
|
|
2228 |
|
|
// Test function for n=20, m=0.
|
2229 |
|
|
template <typename Tp>
|
2230 |
|
|
void test041()
|
2231 |
|
|
{
|
2232 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2233 |
|
|
Tp max_abs_diff = -Tp(1);
|
2234 |
|
|
Tp max_abs_frac = -Tp(1);
|
2235 |
|
|
unsigned int num_datum = sizeof(data041)
|
2236 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2237 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2238 |
|
|
{
|
2239 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data041[i].n), Tp(data041[i].m),
|
2240 |
|
|
Tp(data041[i].x));
|
2241 |
|
|
const Tp f0 = data041[i].f0;
|
2242 |
|
|
const Tp diff = f - f0;
|
2243 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2244 |
|
|
max_abs_diff = std::abs(diff);
|
2245 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2246 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2247 |
|
|
{
|
2248 |
|
|
const Tp frac = diff / f0;
|
2249 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2250 |
|
|
max_abs_frac = std::abs(frac);
|
2251 |
|
|
}
|
2252 |
|
|
}
|
2253 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2254 |
|
|
}
|
2255 |
|
|
|
2256 |
|
|
// Test data for n=20, m=1.
|
2257 |
|
|
testcase_assoc_laguerre<double> data042[] = {
|
2258 |
|
|
{ 21.000000000000000, 20, 1,
|
2259 |
|
|
0.0000000000000000 },
|
2260 |
|
|
{ 19.900488129734079, 20, 1,
|
2261 |
|
|
10.000000000000000 },
|
2262 |
|
|
{ 2208.0318569557589, 20, 1,
|
2263 |
|
|
20.000000000000000 },
|
2264 |
|
|
{ 263690.96303121914, 20, 1,
|
2265 |
|
|
30.000000000000000 },
|
2266 |
|
|
{ 40667285.630564235, 20, 1,
|
2267 |
|
|
40.000000000000000 },
|
2268 |
|
|
{ 1737442572.8115418, 20, 1,
|
2269 |
|
|
50.000000000000000 },
|
2270 |
|
|
{ -588280953643.28125, 20, 1,
|
2271 |
|
|
60.000000000000000 },
|
2272 |
|
|
{ 45617733778241.359, 20, 1,
|
2273 |
|
|
70.000000000000000 },
|
2274 |
|
|
{ 17293487114876860., 20, 1,
|
2275 |
|
|
80.000000000000000 },
|
2276 |
|
|
{ 7.6219135858585024e+17, 20, 1,
|
2277 |
|
|
90.000000000000000 },
|
2278 |
|
|
{ 1.6037288204336759e+19, 20, 1,
|
2279 |
|
|
100.00000000000000 },
|
2280 |
|
|
};
|
2281 |
|
|
|
2282 |
|
|
// Test function for n=20, m=1.
|
2283 |
|
|
template <typename Tp>
|
2284 |
|
|
void test042()
|
2285 |
|
|
{
|
2286 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2287 |
|
|
Tp max_abs_diff = -Tp(1);
|
2288 |
|
|
Tp max_abs_frac = -Tp(1);
|
2289 |
|
|
unsigned int num_datum = sizeof(data042)
|
2290 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2291 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2292 |
|
|
{
|
2293 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data042[i].n), Tp(data042[i].m),
|
2294 |
|
|
Tp(data042[i].x));
|
2295 |
|
|
const Tp f0 = data042[i].f0;
|
2296 |
|
|
const Tp diff = f - f0;
|
2297 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2298 |
|
|
max_abs_diff = std::abs(diff);
|
2299 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2300 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2301 |
|
|
{
|
2302 |
|
|
const Tp frac = diff / f0;
|
2303 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2304 |
|
|
max_abs_frac = std::abs(frac);
|
2305 |
|
|
}
|
2306 |
|
|
}
|
2307 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2308 |
|
|
}
|
2309 |
|
|
|
2310 |
|
|
// Test data for n=20, m=2.
|
2311 |
|
|
testcase_assoc_laguerre<double> data043[] = {
|
2312 |
|
|
{ 231.00000000000003, 20, 2,
|
2313 |
|
|
0.0000000000000000 },
|
2314 |
|
|
{ 47.009338065112935, 20, 2,
|
2315 |
|
|
10.000000000000000 },
|
2316 |
|
|
{ -652.51305461728566, 20, 2,
|
2317 |
|
|
20.000000000000000 },
|
2318 |
|
|
{ 285388.25895069109, 20, 2,
|
2319 |
|
|
30.000000000000000 },
|
2320 |
|
|
{ 28664069.685624726, 20, 2,
|
2321 |
|
|
40.000000000000000 },
|
2322 |
|
|
{ -1399631966.3144732, 20, 2,
|
2323 |
|
|
50.000000000000000 },
|
2324 |
|
|
{ -115357373248.28198, 20, 2,
|
2325 |
|
|
60.000000000000000 },
|
2326 |
|
|
{ -3357730872975.8545, 20, 2,
|
2327 |
|
|
70.000000000000000 },
|
2328 |
|
|
{ 9765808962855122.0, 20, 2,
|
2329 |
|
|
80.000000000000000 },
|
2330 |
|
|
{ 5.0717292945559181e+17, 20, 2,
|
2331 |
|
|
90.000000000000000 },
|
2332 |
|
|
{ 1.1564665701334458e+19, 20, 2,
|
2333 |
|
|
100.00000000000000 },
|
2334 |
|
|
};
|
2335 |
|
|
|
2336 |
|
|
// Test function for n=20, m=2.
|
2337 |
|
|
template <typename Tp>
|
2338 |
|
|
void test043()
|
2339 |
|
|
{
|
2340 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2341 |
|
|
Tp max_abs_diff = -Tp(1);
|
2342 |
|
|
Tp max_abs_frac = -Tp(1);
|
2343 |
|
|
unsigned int num_datum = sizeof(data043)
|
2344 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2345 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2346 |
|
|
{
|
2347 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data043[i].n), Tp(data043[i].m),
|
2348 |
|
|
Tp(data043[i].x));
|
2349 |
|
|
const Tp f0 = data043[i].f0;
|
2350 |
|
|
const Tp diff = f - f0;
|
2351 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2352 |
|
|
max_abs_diff = std::abs(diff);
|
2353 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2354 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2355 |
|
|
{
|
2356 |
|
|
const Tp frac = diff / f0;
|
2357 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2358 |
|
|
max_abs_frac = std::abs(frac);
|
2359 |
|
|
}
|
2360 |
|
|
}
|
2361 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2362 |
|
|
}
|
2363 |
|
|
|
2364 |
|
|
// Test data for n=20, m=5.
|
2365 |
|
|
testcase_assoc_laguerre<double> data044[] = {
|
2366 |
|
|
{ 53130.000000000000, 20, 5,
|
2367 |
|
|
0.0000000000000000 },
|
2368 |
|
|
{ -158.69554500944145, 20, 5,
|
2369 |
|
|
10.000000000000000 },
|
2370 |
|
|
{ 334.08012288038969, 20, 5,
|
2371 |
|
|
20.000000000000000 },
|
2372 |
|
|
{ -198372.47662554169, 20, 5,
|
2373 |
|
|
30.000000000000000 },
|
2374 |
|
|
{ -13627144.088579427, 20, 5,
|
2375 |
|
|
40.000000000000000 },
|
2376 |
|
|
{ -780579985.44731593, 20, 5,
|
2377 |
|
|
50.000000000000000 },
|
2378 |
|
|
{ 116648634237.73526, 20, 5,
|
2379 |
|
|
60.000000000000000 },
|
2380 |
|
|
{ -12347348707739.742, 20, 5,
|
2381 |
|
|
70.000000000000000 },
|
2382 |
|
|
{ 1199516248034090.8, 20, 5,
|
2383 |
|
|
80.000000000000000 },
|
2384 |
|
|
{ 1.3451503195078531e+17, 20, 5,
|
2385 |
|
|
90.000000000000000 },
|
2386 |
|
|
{ 4.1058904276111483e+18, 20, 5,
|
2387 |
|
|
100.00000000000000 },
|
2388 |
|
|
};
|
2389 |
|
|
|
2390 |
|
|
// Test function for n=20, m=5.
|
2391 |
|
|
template <typename Tp>
|
2392 |
|
|
void test044()
|
2393 |
|
|
{
|
2394 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2395 |
|
|
Tp max_abs_diff = -Tp(1);
|
2396 |
|
|
Tp max_abs_frac = -Tp(1);
|
2397 |
|
|
unsigned int num_datum = sizeof(data044)
|
2398 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2399 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2400 |
|
|
{
|
2401 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data044[i].n), Tp(data044[i].m),
|
2402 |
|
|
Tp(data044[i].x));
|
2403 |
|
|
const Tp f0 = data044[i].f0;
|
2404 |
|
|
const Tp diff = f - f0;
|
2405 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2406 |
|
|
max_abs_diff = std::abs(diff);
|
2407 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2408 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2409 |
|
|
{
|
2410 |
|
|
const Tp frac = diff / f0;
|
2411 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2412 |
|
|
max_abs_frac = std::abs(frac);
|
2413 |
|
|
}
|
2414 |
|
|
}
|
2415 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2416 |
|
|
}
|
2417 |
|
|
|
2418 |
|
|
// Test data for n=20, m=10.
|
2419 |
|
|
testcase_assoc_laguerre<double> data045[] = {
|
2420 |
|
|
{ 30045015.000000000, 20, 10,
|
2421 |
|
|
0.0000000000000000 },
|
2422 |
|
|
{ -1755.6226861258590, 20, 10,
|
2423 |
|
|
10.000000000000000 },
|
2424 |
|
|
{ -9081.6726644737901, 20, 10,
|
2425 |
|
|
20.000000000000000 },
|
2426 |
|
|
{ 95771.650912113109, 20, 10,
|
2427 |
|
|
30.000000000000000 },
|
2428 |
|
|
{ 5089151.9272779226, 20, 10,
|
2429 |
|
|
40.000000000000000 },
|
2430 |
|
|
{ 97400399.450206712, 20, 10,
|
2431 |
|
|
50.000000000000000 },
|
2432 |
|
|
{ -16009352450.477026, 20, 10,
|
2433 |
|
|
60.000000000000000 },
|
2434 |
|
|
{ 842271286905.01038, 20, 10,
|
2435 |
|
|
70.000000000000000 },
|
2436 |
|
|
{ -79901725466796.938, 20, 10,
|
2437 |
|
|
80.000000000000000 },
|
2438 |
|
|
{ 7944103675858638.0, 20, 10,
|
2439 |
|
|
90.000000000000000 },
|
2440 |
|
|
{ 5.7429821893388288e+17, 20, 10,
|
2441 |
|
|
100.00000000000000 },
|
2442 |
|
|
};
|
2443 |
|
|
|
2444 |
|
|
// Test function for n=20, m=10.
|
2445 |
|
|
template <typename Tp>
|
2446 |
|
|
void test045()
|
2447 |
|
|
{
|
2448 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2449 |
|
|
Tp max_abs_diff = -Tp(1);
|
2450 |
|
|
Tp max_abs_frac = -Tp(1);
|
2451 |
|
|
unsigned int num_datum = sizeof(data045)
|
2452 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2453 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2454 |
|
|
{
|
2455 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data045[i].n), Tp(data045[i].m),
|
2456 |
|
|
Tp(data045[i].x));
|
2457 |
|
|
const Tp f0 = data045[i].f0;
|
2458 |
|
|
const Tp diff = f - f0;
|
2459 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2460 |
|
|
max_abs_diff = std::abs(diff);
|
2461 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2462 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2463 |
|
|
{
|
2464 |
|
|
const Tp frac = diff / f0;
|
2465 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2466 |
|
|
max_abs_frac = std::abs(frac);
|
2467 |
|
|
}
|
2468 |
|
|
}
|
2469 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2470 |
|
|
}
|
2471 |
|
|
|
2472 |
|
|
// Test data for n=20, m=20.
|
2473 |
|
|
testcase_assoc_laguerre<double> data046[] = {
|
2474 |
|
|
{ 137846528819.99994, 20, 20,
|
2475 |
|
|
0.0000000000000000 },
|
2476 |
|
|
{ -136976.49571333214, 20, 20,
|
2477 |
|
|
10.000000000000000 },
|
2478 |
|
|
{ 113878.49908041637, 20, 20,
|
2479 |
|
|
20.000000000000000 },
|
2480 |
|
|
{ -342529.21778796182, 20, 20,
|
2481 |
|
|
30.000000000000000 },
|
2482 |
|
|
{ -350112.66981443466, 20, 20,
|
2483 |
|
|
40.000000000000000 },
|
2484 |
|
|
{ -10791735.172977794, 20, 20,
|
2485 |
|
|
50.000000000000000 },
|
2486 |
|
|
{ -1038073940.0811402, 20, 20,
|
2487 |
|
|
60.000000000000000 },
|
2488 |
|
|
{ 667312550.63616371, 20, 20,
|
2489 |
|
|
70.000000000000000 },
|
2490 |
|
|
{ 741537869902.29028, 20, 20,
|
2491 |
|
|
80.000000000000000 },
|
2492 |
|
|
{ -32378376755737.418, 20, 20,
|
2493 |
|
|
90.000000000000000 },
|
2494 |
|
|
{ -601760332167934.75, 20, 20,
|
2495 |
|
|
100.00000000000000 },
|
2496 |
|
|
};
|
2497 |
|
|
|
2498 |
|
|
// Test function for n=20, m=20.
|
2499 |
|
|
template <typename Tp>
|
2500 |
|
|
void test046()
|
2501 |
|
|
{
|
2502 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2503 |
|
|
Tp max_abs_diff = -Tp(1);
|
2504 |
|
|
Tp max_abs_frac = -Tp(1);
|
2505 |
|
|
unsigned int num_datum = sizeof(data046)
|
2506 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2507 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2508 |
|
|
{
|
2509 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data046[i].n), Tp(data046[i].m),
|
2510 |
|
|
Tp(data046[i].x));
|
2511 |
|
|
const Tp f0 = data046[i].f0;
|
2512 |
|
|
const Tp diff = f - f0;
|
2513 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2514 |
|
|
max_abs_diff = std::abs(diff);
|
2515 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2516 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2517 |
|
|
{
|
2518 |
|
|
const Tp frac = diff / f0;
|
2519 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2520 |
|
|
max_abs_frac = std::abs(frac);
|
2521 |
|
|
}
|
2522 |
|
|
}
|
2523 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
2524 |
|
|
}
|
2525 |
|
|
|
2526 |
|
|
// Test data for n=20, m=50.
|
2527 |
|
|
testcase_assoc_laguerre<double> data047[] = {
|
2528 |
|
|
{ 1.6188460366265789e+17, 20, 50,
|
2529 |
|
|
0.0000000000000000 },
|
2530 |
|
|
{ 1599011936804291.5, 20, 50,
|
2531 |
|
|
10.000000000000000 },
|
2532 |
|
|
{ -131273880831.42412, 20, 50,
|
2533 |
|
|
20.000000000000000 },
|
2534 |
|
|
{ -3133213093.6903501, 20, 50,
|
2535 |
|
|
30.000000000000000 },
|
2536 |
|
|
{ -213935628.04985175, 20, 50,
|
2537 |
|
|
40.000000000000000 },
|
2538 |
|
|
{ -47375578.495921209, 20, 50,
|
2539 |
|
|
50.000000000000000 },
|
2540 |
|
|
{ -115731015.14034875, 20, 50,
|
2541 |
|
|
60.000000000000000 },
|
2542 |
|
|
{ -737415147.29420292, 20, 50,
|
2543 |
|
|
70.000000000000000 },
|
2544 |
|
|
{ -2123455626.8621781, 20, 50,
|
2545 |
|
|
80.000000000000000 },
|
2546 |
|
|
{ 29801266858.608925, 20, 50,
|
2547 |
|
|
90.000000000000000 },
|
2548 |
|
|
{ -132886631026.82561, 20, 50,
|
2549 |
|
|
100.00000000000000 },
|
2550 |
|
|
};
|
2551 |
|
|
|
2552 |
|
|
// Test function for n=20, m=50.
|
2553 |
|
|
template <typename Tp>
|
2554 |
|
|
void test047()
|
2555 |
|
|
{
|
2556 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2557 |
|
|
Tp max_abs_diff = -Tp(1);
|
2558 |
|
|
Tp max_abs_frac = -Tp(1);
|
2559 |
|
|
unsigned int num_datum = sizeof(data047)
|
2560 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2561 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2562 |
|
|
{
|
2563 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data047[i].n), Tp(data047[i].m),
|
2564 |
|
|
Tp(data047[i].x));
|
2565 |
|
|
const Tp f0 = data047[i].f0;
|
2566 |
|
|
const Tp diff = f - f0;
|
2567 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2568 |
|
|
max_abs_diff = std::abs(diff);
|
2569 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2570 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2571 |
|
|
{
|
2572 |
|
|
const Tp frac = diff / f0;
|
2573 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2574 |
|
|
max_abs_frac = std::abs(frac);
|
2575 |
|
|
}
|
2576 |
|
|
}
|
2577 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
2578 |
|
|
}
|
2579 |
|
|
|
2580 |
|
|
// Test data for n=20, m=100.
|
2581 |
|
|
testcase_assoc_laguerre<double> data048[] = {
|
2582 |
|
|
{ 2.9462227291176643e+22, 20, 100,
|
2583 |
|
|
0.0000000000000000 },
|
2584 |
|
|
{ 3.5777890748701244e+21, 20, 100,
|
2585 |
|
|
10.000000000000000 },
|
2586 |
|
|
{ 3.1584925521456765e+20, 20, 100,
|
2587 |
|
|
20.000000000000000 },
|
2588 |
|
|
{ 1.7389599388424860e+19, 20, 100,
|
2589 |
|
|
30.000000000000000 },
|
2590 |
|
|
{ 4.1401342745980646e+17, 20, 100,
|
2591 |
|
|
40.000000000000000 },
|
2592 |
|
|
{ -79359706102062.672, 20, 100,
|
2593 |
|
|
50.000000000000000 },
|
2594 |
|
|
{ 22736203650743.145, 20, 100,
|
2595 |
|
|
60.000000000000000 },
|
2596 |
|
|
{ 65679006380.095215, 20, 100,
|
2597 |
|
|
70.000000000000000 },
|
2598 |
|
|
{ -236263257610.77969, 20, 100,
|
2599 |
|
|
80.000000000000000 },
|
2600 |
|
|
{ -38072644585.303085, 20, 100,
|
2601 |
|
|
90.000000000000000 },
|
2602 |
|
|
{ 68236474365.173950, 20, 100,
|
2603 |
|
|
100.00000000000000 },
|
2604 |
|
|
};
|
2605 |
|
|
|
2606 |
|
|
// Test function for n=20, m=100.
|
2607 |
|
|
template <typename Tp>
|
2608 |
|
|
void test048()
|
2609 |
|
|
{
|
2610 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2611 |
|
|
Tp max_abs_diff = -Tp(1);
|
2612 |
|
|
Tp max_abs_frac = -Tp(1);
|
2613 |
|
|
unsigned int num_datum = sizeof(data048)
|
2614 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2615 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2616 |
|
|
{
|
2617 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data048[i].n), Tp(data048[i].m),
|
2618 |
|
|
Tp(data048[i].x));
|
2619 |
|
|
const Tp f0 = data048[i].f0;
|
2620 |
|
|
const Tp diff = f - f0;
|
2621 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2622 |
|
|
max_abs_diff = std::abs(diff);
|
2623 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2624 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2625 |
|
|
{
|
2626 |
|
|
const Tp frac = diff / f0;
|
2627 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2628 |
|
|
max_abs_frac = std::abs(frac);
|
2629 |
|
|
}
|
2630 |
|
|
}
|
2631 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
|
2632 |
|
|
}
|
2633 |
|
|
|
2634 |
|
|
// Test data for n=50, m=0.
|
2635 |
|
|
testcase_assoc_laguerre<double> data049[] = {
|
2636 |
|
|
{ 1.0000000000000000, 50, 0,
|
2637 |
|
|
0.0000000000000000 },
|
2638 |
|
|
{ 17.534183446338233, 50, 0,
|
2639 |
|
|
10.000000000000000 },
|
2640 |
|
|
{ 980.26961889790766, 50, 0,
|
2641 |
|
|
20.000000000000000 },
|
2642 |
|
|
{ 293000.50735962350, 50, 0,
|
2643 |
|
|
30.000000000000000 },
|
2644 |
|
|
{ -14896937.968694847, 50, 0,
|
2645 |
|
|
40.000000000000000 },
|
2646 |
|
|
{ 2513677852.6916885, 50, 0,
|
2647 |
|
|
50.000000000000000 },
|
2648 |
|
|
{ -883876565337.99207, 50, 0,
|
2649 |
|
|
60.000000000000000 },
|
2650 |
|
|
{ -80967880733583.219, 50, 0,
|
2651 |
|
|
70.000000000000000 },
|
2652 |
|
|
{ -8217471769564850.0, 50, 0,
|
2653 |
|
|
80.000000000000000 },
|
2654 |
|
|
{ -2.1140031308048906e+18, 50, 0,
|
2655 |
|
|
90.000000000000000 },
|
2656 |
|
|
{ -3.9710103487094673e+20, 50, 0,
|
2657 |
|
|
100.00000000000000 },
|
2658 |
|
|
};
|
2659 |
|
|
|
2660 |
|
|
// Test function for n=50, m=0.
|
2661 |
|
|
template <typename Tp>
|
2662 |
|
|
void test049()
|
2663 |
|
|
{
|
2664 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2665 |
|
|
Tp max_abs_diff = -Tp(1);
|
2666 |
|
|
Tp max_abs_frac = -Tp(1);
|
2667 |
|
|
unsigned int num_datum = sizeof(data049)
|
2668 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2669 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2670 |
|
|
{
|
2671 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data049[i].n), Tp(data049[i].m),
|
2672 |
|
|
Tp(data049[i].x));
|
2673 |
|
|
const Tp f0 = data049[i].f0;
|
2674 |
|
|
const Tp diff = f - f0;
|
2675 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2676 |
|
|
max_abs_diff = std::abs(diff);
|
2677 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2678 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2679 |
|
|
{
|
2680 |
|
|
const Tp frac = diff / f0;
|
2681 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2682 |
|
|
max_abs_frac = std::abs(frac);
|
2683 |
|
|
}
|
2684 |
|
|
}
|
2685 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2686 |
|
|
}
|
2687 |
|
|
|
2688 |
|
|
// Test data for n=50, m=1.
|
2689 |
|
|
testcase_assoc_laguerre<double> data050[] = {
|
2690 |
|
|
{ 51.000000000000021, 50, 1,
|
2691 |
|
|
0.0000000000000000 },
|
2692 |
|
|
{ 1.4214573271640045, 50, 1,
|
2693 |
|
|
10.000000000000000 },
|
2694 |
|
|
{ -2574.8072295127863, 50, 1,
|
2695 |
|
|
20.000000000000000 },
|
2696 |
|
|
{ 35846.479728359256, 50, 1,
|
2697 |
|
|
30.000000000000000 },
|
2698 |
|
|
{ -48263698.768318526, 50, 1,
|
2699 |
|
|
40.000000000000000 },
|
2700 |
|
|
{ 6161525870.2738571, 50, 1,
|
2701 |
|
|
50.000000000000000 },
|
2702 |
|
|
{ -382655486658.47101, 50, 1,
|
2703 |
|
|
60.000000000000000 },
|
2704 |
|
|
{ -109635579833241.69, 50, 1,
|
2705 |
|
|
70.000000000000000 },
|
2706 |
|
|
{ -14623805817283476., 50, 1,
|
2707 |
|
|
80.000000000000000 },
|
2708 |
|
|
{ -2.0666847190878118e+18, 50, 1,
|
2709 |
|
|
90.000000000000000 },
|
2710 |
|
|
{ -1.4385187953997626e+20, 50, 1,
|
2711 |
|
|
100.00000000000000 },
|
2712 |
|
|
};
|
2713 |
|
|
|
2714 |
|
|
// Test function for n=50, m=1.
|
2715 |
|
|
template <typename Tp>
|
2716 |
|
|
void test050()
|
2717 |
|
|
{
|
2718 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2719 |
|
|
Tp max_abs_diff = -Tp(1);
|
2720 |
|
|
Tp max_abs_frac = -Tp(1);
|
2721 |
|
|
unsigned int num_datum = sizeof(data050)
|
2722 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2723 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2724 |
|
|
{
|
2725 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data050[i].n), Tp(data050[i].m),
|
2726 |
|
|
Tp(data050[i].x));
|
2727 |
|
|
const Tp f0 = data050[i].f0;
|
2728 |
|
|
const Tp diff = f - f0;
|
2729 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2730 |
|
|
max_abs_diff = std::abs(diff);
|
2731 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2732 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2733 |
|
|
{
|
2734 |
|
|
const Tp frac = diff / f0;
|
2735 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2736 |
|
|
max_abs_frac = std::abs(frac);
|
2737 |
|
|
}
|
2738 |
|
|
}
|
2739 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000029e-12));
|
2740 |
|
|
}
|
2741 |
|
|
|
2742 |
|
|
// Test data for n=50, m=2.
|
2743 |
|
|
testcase_assoc_laguerre<double> data051[] = {
|
2744 |
|
|
{ 1326.0000000000000, 50, 2,
|
2745 |
|
|
0.0000000000000000 },
|
2746 |
|
|
{ -87.860732516444671, 50, 2,
|
2747 |
|
|
10.000000000000000 },
|
2748 |
|
|
{ -5203.2351191780890, 50, 2,
|
2749 |
|
|
20.000000000000000 },
|
2750 |
|
|
{ -461059.50012538873, 50, 2,
|
2751 |
|
|
30.000000000000000 },
|
2752 |
|
|
{ -30476695.327440601, 50, 2,
|
2753 |
|
|
40.000000000000000 },
|
2754 |
|
|
{ 3720804977.9338136, 50, 2,
|
2755 |
|
|
50.000000000000000 },
|
2756 |
|
|
{ 362262002434.51440, 50, 2,
|
2757 |
|
|
60.000000000000000 },
|
2758 |
|
|
{ -52210917867820.273, 50, 2,
|
2759 |
|
|
70.000000000000000 },
|
2760 |
|
|
{ -9567965136901918.0, 50, 2,
|
2761 |
|
|
80.000000000000000 },
|
2762 |
|
|
{ -8.9171277517712806e+17, 50, 2,
|
2763 |
|
|
90.000000000000000 },
|
2764 |
|
|
{ 5.7231129448807039e+19, 50, 2,
|
2765 |
|
|
100.00000000000000 },
|
2766 |
|
|
};
|
2767 |
|
|
|
2768 |
|
|
// Test function for n=50, m=2.
|
2769 |
|
|
template <typename Tp>
|
2770 |
|
|
void test051()
|
2771 |
|
|
{
|
2772 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2773 |
|
|
Tp max_abs_diff = -Tp(1);
|
2774 |
|
|
Tp max_abs_frac = -Tp(1);
|
2775 |
|
|
unsigned int num_datum = sizeof(data051)
|
2776 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2777 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2778 |
|
|
{
|
2779 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data051[i].n), Tp(data051[i].m),
|
2780 |
|
|
Tp(data051[i].x));
|
2781 |
|
|
const Tp f0 = data051[i].f0;
|
2782 |
|
|
const Tp diff = f - f0;
|
2783 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2784 |
|
|
max_abs_diff = std::abs(diff);
|
2785 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2786 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2787 |
|
|
{
|
2788 |
|
|
const Tp frac = diff / f0;
|
2789 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2790 |
|
|
max_abs_frac = std::abs(frac);
|
2791 |
|
|
}
|
2792 |
|
|
}
|
2793 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2794 |
|
|
}
|
2795 |
|
|
|
2796 |
|
|
// Test data for n=50, m=5.
|
2797 |
|
|
testcase_assoc_laguerre<double> data052[] = {
|
2798 |
|
|
{ 3478761.0000000000, 50, 5,
|
2799 |
|
|
0.0000000000000000 },
|
2800 |
|
|
{ 1055.8381917651493, 50, 5,
|
2801 |
|
|
10.000000000000000 },
|
2802 |
|
|
{ 15264.646660345048, 50, 5,
|
2803 |
|
|
20.000000000000000 },
|
2804 |
|
|
{ 1229651.8966600855, 50, 5,
|
2805 |
|
|
30.000000000000000 },
|
2806 |
|
|
{ 39270451.823656857, 50, 5,
|
2807 |
|
|
40.000000000000000 },
|
2808 |
|
|
{ -4424062601.1152067, 50, 5,
|
2809 |
|
|
50.000000000000000 },
|
2810 |
|
|
{ -186017434284.19220, 50, 5,
|
2811 |
|
|
60.000000000000000 },
|
2812 |
|
|
{ 50972853949302.602, 50, 5,
|
2813 |
|
|
70.000000000000000 },
|
2814 |
|
|
{ 6530702754012518.0, 50, 5,
|
2815 |
|
|
80.000000000000000 },
|
2816 |
|
|
{ 6.8387592714678016e+17, 50, 5,
|
2817 |
|
|
90.000000000000000 },
|
2818 |
|
|
{ 3.9198742504338366e+19, 50, 5,
|
2819 |
|
|
100.00000000000000 },
|
2820 |
|
|
};
|
2821 |
|
|
|
2822 |
|
|
// Test function for n=50, m=5.
|
2823 |
|
|
template <typename Tp>
|
2824 |
|
|
void test052()
|
2825 |
|
|
{
|
2826 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2827 |
|
|
Tp max_abs_diff = -Tp(1);
|
2828 |
|
|
Tp max_abs_frac = -Tp(1);
|
2829 |
|
|
unsigned int num_datum = sizeof(data052)
|
2830 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2831 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2832 |
|
|
{
|
2833 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data052[i].n), Tp(data052[i].m),
|
2834 |
|
|
Tp(data052[i].x));
|
2835 |
|
|
const Tp f0 = data052[i].f0;
|
2836 |
|
|
const Tp diff = f - f0;
|
2837 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2838 |
|
|
max_abs_diff = std::abs(diff);
|
2839 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2840 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2841 |
|
|
{
|
2842 |
|
|
const Tp frac = diff / f0;
|
2843 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2844 |
|
|
max_abs_frac = std::abs(frac);
|
2845 |
|
|
}
|
2846 |
|
|
}
|
2847 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2848 |
|
|
}
|
2849 |
|
|
|
2850 |
|
|
// Test data for n=50, m=10.
|
2851 |
|
|
testcase_assoc_laguerre<double> data053[] = {
|
2852 |
|
|
{ 75394027565.999985, 50, 10,
|
2853 |
|
|
0.0000000000000000 },
|
2854 |
|
|
{ 91833.924098770134, 50, 10,
|
2855 |
|
|
10.000000000000000 },
|
2856 |
|
|
{ 330501.87929778261, 50, 10,
|
2857 |
|
|
20.000000000000000 },
|
2858 |
|
|
{ 3625088.1635972545, 50, 10,
|
2859 |
|
|
30.000000000000000 },
|
2860 |
|
|
{ 213954727.28632003, 50, 10,
|
2861 |
|
|
40.000000000000000 },
|
2862 |
|
|
{ -9381006937.7517643, 50, 10,
|
2863 |
|
|
50.000000000000000 },
|
2864 |
|
|
{ 535333683777.48627, 50, 10,
|
2865 |
|
|
60.000000000000000 },
|
2866 |
|
|
{ 18824406573722.156, 50, 10,
|
2867 |
|
|
70.000000000000000 },
|
2868 |
|
|
{ -533858276780012.81, 50, 10,
|
2869 |
|
|
80.000000000000000 },
|
2870 |
|
|
{ -52995774666704024., 50, 10,
|
2871 |
|
|
90.000000000000000 },
|
2872 |
|
|
{ 6.0504182862448855e+18, 50, 10,
|
2873 |
|
|
100.00000000000000 },
|
2874 |
|
|
};
|
2875 |
|
|
|
2876 |
|
|
// Test function for n=50, m=10.
|
2877 |
|
|
template <typename Tp>
|
2878 |
|
|
void test053()
|
2879 |
|
|
{
|
2880 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2881 |
|
|
Tp max_abs_diff = -Tp(1);
|
2882 |
|
|
Tp max_abs_frac = -Tp(1);
|
2883 |
|
|
unsigned int num_datum = sizeof(data053)
|
2884 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2885 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2886 |
|
|
{
|
2887 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data053[i].n), Tp(data053[i].m),
|
2888 |
|
|
Tp(data053[i].x));
|
2889 |
|
|
const Tp f0 = data053[i].f0;
|
2890 |
|
|
const Tp diff = f - f0;
|
2891 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2892 |
|
|
max_abs_diff = std::abs(diff);
|
2893 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2894 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2895 |
|
|
{
|
2896 |
|
|
const Tp frac = diff / f0;
|
2897 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2898 |
|
|
max_abs_frac = std::abs(frac);
|
2899 |
|
|
}
|
2900 |
|
|
}
|
2901 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
2902 |
|
|
}
|
2903 |
|
|
|
2904 |
|
|
// Test data for n=50, m=20.
|
2905 |
|
|
testcase_assoc_laguerre<double> data054[] = {
|
2906 |
|
|
{ 1.6188460366265779e+17, 50, 20,
|
2907 |
|
|
0.0000000000000000 },
|
2908 |
|
|
{ -307637087.25169420, 50, 20,
|
2909 |
|
|
10.000000000000000 },
|
2910 |
|
|
{ 12524651.102974579, 50, 20,
|
2911 |
|
|
20.000000000000000 },
|
2912 |
|
|
{ -315460483.86210549, 50, 20,
|
2913 |
|
|
30.000000000000000 },
|
2914 |
|
|
{ -1889683587.3459976, 50, 20,
|
2915 |
|
|
40.000000000000000 },
|
2916 |
|
|
{ 37457044404.200340, 50, 20,
|
2917 |
|
|
50.000000000000000 },
|
2918 |
|
|
{ -843831858224.71826, 50, 20,
|
2919 |
|
|
60.000000000000000 },
|
2920 |
|
|
{ -92231643172.313248, 50, 20,
|
2921 |
|
|
70.000000000000000 },
|
2922 |
|
|
{ 904211757769501.25, 50, 20,
|
2923 |
|
|
80.000000000000000 },
|
2924 |
|
|
{ 46508193600283288., 50, 20,
|
2925 |
|
|
90.000000000000000 },
|
2926 |
|
|
{ 2.3216887928162714e+18, 50, 20,
|
2927 |
|
|
100.00000000000000 },
|
2928 |
|
|
};
|
2929 |
|
|
|
2930 |
|
|
// Test function for n=50, m=20.
|
2931 |
|
|
template <typename Tp>
|
2932 |
|
|
void test054()
|
2933 |
|
|
{
|
2934 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2935 |
|
|
Tp max_abs_diff = -Tp(1);
|
2936 |
|
|
Tp max_abs_frac = -Tp(1);
|
2937 |
|
|
unsigned int num_datum = sizeof(data054)
|
2938 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2939 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2940 |
|
|
{
|
2941 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data054[i].n), Tp(data054[i].m),
|
2942 |
|
|
Tp(data054[i].x));
|
2943 |
|
|
const Tp f0 = data054[i].f0;
|
2944 |
|
|
const Tp diff = f - f0;
|
2945 |
|
|
if (std::abs(diff) > max_abs_diff)
|
2946 |
|
|
max_abs_diff = std::abs(diff);
|
2947 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
2948 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
2949 |
|
|
{
|
2950 |
|
|
const Tp frac = diff / f0;
|
2951 |
|
|
if (std::abs(frac) > max_abs_frac)
|
2952 |
|
|
max_abs_frac = std::abs(frac);
|
2953 |
|
|
}
|
2954 |
|
|
}
|
2955 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
|
2956 |
|
|
}
|
2957 |
|
|
|
2958 |
|
|
// Test data for n=50, m=50.
|
2959 |
|
|
testcase_assoc_laguerre<double> data055[] = {
|
2960 |
|
|
{ 1.0089134454556417e+29, 50, 50,
|
2961 |
|
|
0.0000000000000000 },
|
2962 |
|
|
{ 1.3822795753070569e+23, 50, 50,
|
2963 |
|
|
10.000000000000000 },
|
2964 |
|
|
{ 95817260381628416., 50, 50,
|
2965 |
|
|
20.000000000000000 },
|
2966 |
|
|
{ -910798580856013.88, 50, 50,
|
2967 |
|
|
30.000000000000000 },
|
2968 |
|
|
{ 50513254049166.719, 50, 50,
|
2969 |
|
|
40.000000000000000 },
|
2970 |
|
|
{ 84159703903349.859, 50, 50,
|
2971 |
|
|
50.000000000000000 },
|
2972 |
|
|
{ -138805244691822.69, 50, 50,
|
2973 |
|
|
60.000000000000000 },
|
2974 |
|
|
{ 181046391269246.25, 50, 50,
|
2975 |
|
|
70.000000000000000 },
|
2976 |
|
|
{ 2086884905317107.2, 50, 50,
|
2977 |
|
|
80.000000000000000 },
|
2978 |
|
|
{ -2765620139862432.5, 50, 50,
|
2979 |
|
|
90.000000000000000 },
|
2980 |
|
|
{ -1.3706751678146291e+17, 50, 50,
|
2981 |
|
|
100.00000000000000 },
|
2982 |
|
|
};
|
2983 |
|
|
|
2984 |
|
|
// Test function for n=50, m=50.
|
2985 |
|
|
template <typename Tp>
|
2986 |
|
|
void test055()
|
2987 |
|
|
{
|
2988 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
2989 |
|
|
Tp max_abs_diff = -Tp(1);
|
2990 |
|
|
Tp max_abs_frac = -Tp(1);
|
2991 |
|
|
unsigned int num_datum = sizeof(data055)
|
2992 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
2993 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
2994 |
|
|
{
|
2995 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data055[i].n), Tp(data055[i].m),
|
2996 |
|
|
Tp(data055[i].x));
|
2997 |
|
|
const Tp f0 = data055[i].f0;
|
2998 |
|
|
const Tp diff = f - f0;
|
2999 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3000 |
|
|
max_abs_diff = std::abs(diff);
|
3001 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3002 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3003 |
|
|
{
|
3004 |
|
|
const Tp frac = diff / f0;
|
3005 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3006 |
|
|
max_abs_frac = std::abs(frac);
|
3007 |
|
|
}
|
3008 |
|
|
}
|
3009 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
|
3010 |
|
|
}
|
3011 |
|
|
|
3012 |
|
|
// Test data for n=50, m=100.
|
3013 |
|
|
testcase_assoc_laguerre<double> data056[] = {
|
3014 |
|
|
{ 2.0128660909731929e+40, 50, 100,
|
3015 |
|
|
0.0000000000000000 },
|
3016 |
|
|
{ 9.3675094807695474e+37, 50, 100,
|
3017 |
|
|
10.000000000000000 },
|
3018 |
|
|
{ 1.3009321481877196e+35, 50, 100,
|
3019 |
|
|
20.000000000000000 },
|
3020 |
|
|
{ 7.3720026893233823e+30, 50, 100,
|
3021 |
|
|
30.000000000000000 },
|
3022 |
|
|
{ -6.0824679079634607e+25, 50, 100,
|
3023 |
|
|
40.000000000000000 },
|
3024 |
|
|
{ -6.0053188793543624e+23, 50, 100,
|
3025 |
|
|
50.000000000000000 },
|
3026 |
|
|
{ 1.4178129287264701e+22, 50, 100,
|
3027 |
|
|
60.000000000000000 },
|
3028 |
|
|
{ -5.4652099341566765e+20, 50, 100,
|
3029 |
|
|
70.000000000000000 },
|
3030 |
|
|
{ -1.0817271759263398e+20, 50, 100,
|
3031 |
|
|
80.000000000000000 },
|
3032 |
|
|
{ 3.8058734007924187e+19, 50, 100,
|
3033 |
|
|
90.000000000000000 },
|
3034 |
|
|
{ 4.7439240848028353e+19, 50, 100,
|
3035 |
|
|
100.00000000000000 },
|
3036 |
|
|
};
|
3037 |
|
|
|
3038 |
|
|
// Test function for n=50, m=100.
|
3039 |
|
|
template <typename Tp>
|
3040 |
|
|
void test056()
|
3041 |
|
|
{
|
3042 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3043 |
|
|
Tp max_abs_diff = -Tp(1);
|
3044 |
|
|
Tp max_abs_frac = -Tp(1);
|
3045 |
|
|
unsigned int num_datum = sizeof(data056)
|
3046 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
3047 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3048 |
|
|
{
|
3049 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data056[i].n), Tp(data056[i].m),
|
3050 |
|
|
Tp(data056[i].x));
|
3051 |
|
|
const Tp f0 = data056[i].f0;
|
3052 |
|
|
const Tp diff = f - f0;
|
3053 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3054 |
|
|
max_abs_diff = std::abs(diff);
|
3055 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3056 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3057 |
|
|
{
|
3058 |
|
|
const Tp frac = diff / f0;
|
3059 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3060 |
|
|
max_abs_frac = std::abs(frac);
|
3061 |
|
|
}
|
3062 |
|
|
}
|
3063 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
|
3064 |
|
|
}
|
3065 |
|
|
|
3066 |
|
|
// Test data for n=100, m=0.
|
3067 |
|
|
testcase_assoc_laguerre<double> data057[] = {
|
3068 |
|
|
{ 1.0000000000000000, 100, 0,
|
3069 |
|
|
0.0000000000000000 },
|
3070 |
|
|
{ 13.277662844303402, 100, 0,
|
3071 |
|
|
10.000000000000000 },
|
3072 |
|
|
{ 1854.0367283243393, 100, 0,
|
3073 |
|
|
20.000000000000000 },
|
3074 |
|
|
{ 170141.86987046539, 100, 0,
|
3075 |
|
|
30.000000000000000 },
|
3076 |
|
|
{ -7272442.3156007063, 100, 0,
|
3077 |
|
|
40.000000000000000 },
|
3078 |
|
|
{ 4847420871.2690468, 100, 0,
|
3079 |
|
|
50.000000000000000 },
|
3080 |
|
|
{ 693492765740.29736, 100, 0,
|
3081 |
|
|
60.000000000000000 },
|
3082 |
|
|
{ 17125518672239.707, 100, 0,
|
3083 |
|
|
70.000000000000000 },
|
3084 |
|
|
{ -13763178176383754., 100, 0,
|
3085 |
|
|
80.000000000000000 },
|
3086 |
|
|
{ 2.1307220490380198e+18, 100, 0,
|
3087 |
|
|
90.000000000000000 },
|
3088 |
|
|
{ -2.6292260693068920e+20, 100, 0,
|
3089 |
|
|
100.00000000000000 },
|
3090 |
|
|
};
|
3091 |
|
|
|
3092 |
|
|
// Test function for n=100, m=0.
|
3093 |
|
|
template <typename Tp>
|
3094 |
|
|
void test057()
|
3095 |
|
|
{
|
3096 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3097 |
|
|
Tp max_abs_diff = -Tp(1);
|
3098 |
|
|
Tp max_abs_frac = -Tp(1);
|
3099 |
|
|
unsigned int num_datum = sizeof(data057)
|
3100 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
3101 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3102 |
|
|
{
|
3103 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data057[i].n), Tp(data057[i].m),
|
3104 |
|
|
Tp(data057[i].x));
|
3105 |
|
|
const Tp f0 = data057[i].f0;
|
3106 |
|
|
const Tp diff = f - f0;
|
3107 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3108 |
|
|
max_abs_diff = std::abs(diff);
|
3109 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3110 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3111 |
|
|
{
|
3112 |
|
|
const Tp frac = diff / f0;
|
3113 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3114 |
|
|
max_abs_frac = std::abs(frac);
|
3115 |
|
|
}
|
3116 |
|
|
}
|
3117 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
3118 |
|
|
}
|
3119 |
|
|
|
3120 |
|
|
// Test data for n=100, m=1.
|
3121 |
|
|
testcase_assoc_laguerre<double> data058[] = {
|
3122 |
|
|
{ 101.00000000000003, 100, 1,
|
3123 |
|
|
0.0000000000000000 },
|
3124 |
|
|
{ -14.650661983680466, 100, 1,
|
3125 |
|
|
10.000000000000000 },
|
3126 |
|
|
{ 1626.5010939361609, 100, 1,
|
3127 |
|
|
20.000000000000000 },
|
3128 |
|
|
{ 417884.77658268705, 100, 1,
|
3129 |
|
|
30.000000000000000 },
|
3130 |
|
|
{ -55617646.951649830, 100, 1,
|
3131 |
|
|
40.000000000000000 },
|
3132 |
|
|
{ 884829874.26626098, 100, 1,
|
3133 |
|
|
50.000000000000000 },
|
3134 |
|
|
{ 154466082750.32114, 100, 1,
|
3135 |
|
|
60.000000000000000 },
|
3136 |
|
|
{ -101423973484646.05, 100, 1,
|
3137 |
|
|
70.000000000000000 },
|
3138 |
|
|
{ -1388352348671755.5, 100, 1,
|
3139 |
|
|
80.000000000000000 },
|
3140 |
|
|
{ 7.8048705513268326e+17, 100, 1,
|
3141 |
|
|
90.000000000000000 },
|
3142 |
|
|
{ 1.6948925059042787e+19, 100, 1,
|
3143 |
|
|
100.00000000000000 },
|
3144 |
|
|
};
|
3145 |
|
|
|
3146 |
|
|
// Test function for n=100, m=1.
|
3147 |
|
|
template <typename Tp>
|
3148 |
|
|
void test058()
|
3149 |
|
|
{
|
3150 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3151 |
|
|
Tp max_abs_diff = -Tp(1);
|
3152 |
|
|
Tp max_abs_frac = -Tp(1);
|
3153 |
|
|
unsigned int num_datum = sizeof(data058)
|
3154 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
3155 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3156 |
|
|
{
|
3157 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data058[i].n), Tp(data058[i].m),
|
3158 |
|
|
Tp(data058[i].x));
|
3159 |
|
|
const Tp f0 = data058[i].f0;
|
3160 |
|
|
const Tp diff = f - f0;
|
3161 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3162 |
|
|
max_abs_diff = std::abs(diff);
|
3163 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3164 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3165 |
|
|
{
|
3166 |
|
|
const Tp frac = diff / f0;
|
3167 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3168 |
|
|
max_abs_frac = std::abs(frac);
|
3169 |
|
|
}
|
3170 |
|
|
}
|
3171 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
3172 |
|
|
}
|
3173 |
|
|
|
3174 |
|
|
// Test data for n=100, m=2.
|
3175 |
|
|
testcase_assoc_laguerre<double> data059[] = {
|
3176 |
|
|
{ 5151.0000000000055, 100, 2,
|
3177 |
|
|
0.0000000000000000 },
|
3178 |
|
|
{ -150.22012290951341, 100, 2,
|
3179 |
|
|
10.000000000000000 },
|
3180 |
|
|
{ -7655.0593294049440, 100, 2,
|
3181 |
|
|
20.000000000000000 },
|
3182 |
|
|
{ -140996.69276179170, 100, 2,
|
3183 |
|
|
30.000000000000000 },
|
3184 |
|
|
{ -38645171.278549291, 100, 2,
|
3185 |
|
|
40.000000000000000 },
|
3186 |
|
|
{ -8889263688.2118778, 100, 2,
|
3187 |
|
|
50.000000000000000 },
|
3188 |
|
|
{ -1010338971533.3397, 100, 2,
|
3189 |
|
|
60.000000000000000 },
|
3190 |
|
|
{ -127582564332943.91, 100, 2,
|
3191 |
|
|
70.000000000000000 },
|
3192 |
|
|
{ 15970305694654336., 100, 2,
|
3193 |
|
|
80.000000000000000 },
|
3194 |
|
|
{ -1.6019844992862840e+18, 100, 2,
|
3195 |
|
|
90.000000000000000 },
|
3196 |
|
|
{ 2.8267024730962919e+20, 100, 2,
|
3197 |
|
|
100.00000000000000 },
|
3198 |
|
|
};
|
3199 |
|
|
|
3200 |
|
|
// Test function for n=100, m=2.
|
3201 |
|
|
template <typename Tp>
|
3202 |
|
|
void test059()
|
3203 |
|
|
{
|
3204 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3205 |
|
|
Tp max_abs_diff = -Tp(1);
|
3206 |
|
|
Tp max_abs_frac = -Tp(1);
|
3207 |
|
|
unsigned int num_datum = sizeof(data059)
|
3208 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
3209 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3210 |
|
|
{
|
3211 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data059[i].n), Tp(data059[i].m),
|
3212 |
|
|
Tp(data059[i].x));
|
3213 |
|
|
const Tp f0 = data059[i].f0;
|
3214 |
|
|
const Tp diff = f - f0;
|
3215 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3216 |
|
|
max_abs_diff = std::abs(diff);
|
3217 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3218 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3219 |
|
|
{
|
3220 |
|
|
const Tp frac = diff / f0;
|
3221 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3222 |
|
|
max_abs_frac = std::abs(frac);
|
3223 |
|
|
}
|
3224 |
|
|
}
|
3225 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
3226 |
|
|
}
|
3227 |
|
|
|
3228 |
|
|
// Test data for n=100, m=5.
|
3229 |
|
|
testcase_assoc_laguerre<double> data060[] = {
|
3230 |
|
|
{ 96560646.000000030, 100, 5,
|
3231 |
|
|
0.0000000000000000 },
|
3232 |
|
|
{ 2430.6732236677576, 100, 5,
|
3233 |
|
|
10.000000000000000 },
|
3234 |
|
|
{ 111162.32026994640, 100, 5,
|
3235 |
|
|
20.000000000000000 },
|
3236 |
|
|
{ 4036708.2599413753, 100, 5,
|
3237 |
|
|
30.000000000000000 },
|
3238 |
|
|
{ -34055982.664405435, 100, 5,
|
3239 |
|
|
40.000000000000000 },
|
3240 |
|
|
{ 30110688343.562344, 100, 5,
|
3241 |
|
|
50.000000000000000 },
|
3242 |
|
|
{ 2651429940558.2920, 100, 5,
|
3243 |
|
|
60.000000000000000 },
|
3244 |
|
|
{ 192108556058942.84, 100, 5,
|
3245 |
|
|
70.000000000000000 },
|
3246 |
|
|
{ -25410533973455528., 100, 5,
|
3247 |
|
|
80.000000000000000 },
|
3248 |
|
|
{ 2.1072955633564431e+18, 100, 5,
|
3249 |
|
|
90.000000000000000 },
|
3250 |
|
|
{ -2.9434005355877260e+20, 100, 5,
|
3251 |
|
|
100.00000000000000 },
|
3252 |
|
|
};
|
3253 |
|
|
|
3254 |
|
|
// Test function for n=100, m=5.
|
3255 |
|
|
template <typename Tp>
|
3256 |
|
|
void test060()
|
3257 |
|
|
{
|
3258 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3259 |
|
|
Tp max_abs_diff = -Tp(1);
|
3260 |
|
|
Tp max_abs_frac = -Tp(1);
|
3261 |
|
|
unsigned int num_datum = sizeof(data060)
|
3262 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
3263 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3264 |
|
|
{
|
3265 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data060[i].n), Tp(data060[i].m),
|
3266 |
|
|
Tp(data060[i].x));
|
3267 |
|
|
const Tp f0 = data060[i].f0;
|
3268 |
|
|
const Tp diff = f - f0;
|
3269 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3270 |
|
|
max_abs_diff = std::abs(diff);
|
3271 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3272 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3273 |
|
|
{
|
3274 |
|
|
const Tp frac = diff / f0;
|
3275 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3276 |
|
|
max_abs_frac = std::abs(frac);
|
3277 |
|
|
}
|
3278 |
|
|
}
|
3279 |
|
|
VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
|
3280 |
|
|
}
|
3281 |
|
|
|
3282 |
|
|
// Test data for n=100, m=10.
|
3283 |
|
|
testcase_assoc_laguerre<double> data061[] = {
|
3284 |
|
|
{ 46897636623981.039, 100, 10,
|
3285 |
|
|
0.0000000000000000 },
|
3286 |
|
|
{ 529208.11550990446, 100, 10,
|
3287 |
|
|
10.000000000000000 },
|
3288 |
|
|
{ 7402892.1748803742, 100, 10,
|
3289 |
|
|
20.000000000000000 },
|
3290 |
|
|
{ 88369632.083243459, 100, 10,
|
3291 |
|
|
30.000000000000000 },
|
3292 |
|
|
{ 822187797.59096730, 100, 10,
|
3293 |
|
|
40.000000000000000 },
|
3294 |
|
|
{ 180231446033.06866, 100, 10,
|
3295 |
|
|
50.000000000000000 },
|
3296 |
|
|
{ 7922942703798.1309, 100, 10,
|
3297 |
|
|
60.000000000000000 },
|
3298 |
|
|
{ 784424250559043.38, 100, 10,
|
3299 |
|
|
70.000000000000000 },
|
3300 |
|
|
{ -16325634720239362., 100, 10,
|
3301 |
|
|
80.000000000000000 },
|
3302 |
|
|
{ -1.0879588307443181e+18, 100, 10,
|
3303 |
|
|
90.000000000000000 },
|
3304 |
|
|
{ 3.0114394463610495e+19, 100, 10,
|
3305 |
|
|
100.00000000000000 },
|
3306 |
|
|
};
|
3307 |
|
|
|
3308 |
|
|
// Test function for n=100, m=10.
|
3309 |
|
|
template <typename Tp>
|
3310 |
|
|
void test061()
|
3311 |
|
|
{
|
3312 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3313 |
|
|
Tp max_abs_diff = -Tp(1);
|
3314 |
|
|
Tp max_abs_frac = -Tp(1);
|
3315 |
|
|
unsigned int num_datum = sizeof(data061)
|
3316 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
3317 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3318 |
|
|
{
|
3319 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data061[i].n), Tp(data061[i].m),
|
3320 |
|
|
Tp(data061[i].x));
|
3321 |
|
|
const Tp f0 = data061[i].f0;
|
3322 |
|
|
const Tp diff = f - f0;
|
3323 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3324 |
|
|
max_abs_diff = std::abs(diff);
|
3325 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3326 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3327 |
|
|
{
|
3328 |
|
|
const Tp frac = diff / f0;
|
3329 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3330 |
|
|
max_abs_frac = std::abs(frac);
|
3331 |
|
|
}
|
3332 |
|
|
}
|
3333 |
|
|
VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
|
3334 |
|
|
}
|
3335 |
|
|
|
3336 |
|
|
// Test data for n=100, m=20.
|
3337 |
|
|
testcase_assoc_laguerre<double> data062[] = {
|
3338 |
|
|
{ 2.9462227291176614e+22, 100, 20,
|
3339 |
|
|
0.0000000000000000 },
|
3340 |
|
|
{ 313694958939.90436, 100, 20,
|
3341 |
|
|
10.000000000000000 },
|
3342 |
|
|
{ 45396489338.096252, 100, 20,
|
3343 |
|
|
20.000000000000000 },
|
3344 |
|
|
{ -7215826758.0078783, 100, 20,
|
3345 |
|
|
30.000000000000000 },
|
3346 |
|
|
{ 825949194005.88831, 100, 20,
|
3347 |
|
|
40.000000000000000 },
|
3348 |
|
|
{ -2764742119971.0747, 100, 20,
|
3349 |
|
|
50.000000000000000 },
|
3350 |
|
|
{ -219802198273516.03, 100, 20,
|
3351 |
|
|
60.000000000000000 },
|
3352 |
|
|
{ -1699053306145266.0, 100, 20,
|
3353 |
|
|
70.000000000000000 },
|
3354 |
|
|
{ 3.5495709345023853e+17, 100, 20,
|
3355 |
|
|
80.000000000000000 },
|
3356 |
|
|
{ -9.6128675110292439e+18, 100, 20,
|
3357 |
|
|
90.000000000000000 },
|
3358 |
|
|
{ 4.3619868422072153e+20, 100, 20,
|
3359 |
|
|
100.00000000000000 },
|
3360 |
|
|
};
|
3361 |
|
|
|
3362 |
|
|
// Test function for n=100, m=20.
|
3363 |
|
|
template <typename Tp>
|
3364 |
|
|
void test062()
|
3365 |
|
|
{
|
3366 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3367 |
|
|
Tp max_abs_diff = -Tp(1);
|
3368 |
|
|
Tp max_abs_frac = -Tp(1);
|
3369 |
|
|
unsigned int num_datum = sizeof(data062)
|
3370 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
3371 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3372 |
|
|
{
|
3373 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data062[i].n), Tp(data062[i].m),
|
3374 |
|
|
Tp(data062[i].x));
|
3375 |
|
|
const Tp f0 = data062[i].f0;
|
3376 |
|
|
const Tp diff = f - f0;
|
3377 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3378 |
|
|
max_abs_diff = std::abs(diff);
|
3379 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3380 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3381 |
|
|
{
|
3382 |
|
|
const Tp frac = diff / f0;
|
3383 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3384 |
|
|
max_abs_frac = std::abs(frac);
|
3385 |
|
|
}
|
3386 |
|
|
}
|
3387 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
|
3388 |
|
|
}
|
3389 |
|
|
|
3390 |
|
|
// Test data for n=100, m=50.
|
3391 |
|
|
testcase_assoc_laguerre<double> data063[] = {
|
3392 |
|
|
{ 2.0128660909731931e+40, 100, 50,
|
3393 |
|
|
0.0000000000000000 },
|
3394 |
|
|
{ -4.0151443913473681e+28, 100, 50,
|
3395 |
|
|
10.000000000000000 },
|
3396 |
|
|
{ 3.2199632594552201e+22, 100, 50,
|
3397 |
|
|
20.000000000000000 },
|
3398 |
|
|
{ -2.7568702092659717e+20, 100, 50,
|
3399 |
|
|
30.000000000000000 },
|
3400 |
|
|
{ 7.5553066015421530e+19, 100, 50,
|
3401 |
|
|
40.000000000000000 },
|
3402 |
|
|
{ -2.7651625252388041e+19, 100, 50,
|
3403 |
|
|
50.000000000000000 },
|
3404 |
|
|
{ -5.8963680147283821e+19, 100, 50,
|
3405 |
|
|
60.000000000000000 },
|
3406 |
|
|
{ -1.8082798163033126e+20, 100, 50,
|
3407 |
|
|
70.000000000000000 },
|
3408 |
|
|
{ -3.9044276986817249e+20, 100, 50,
|
3409 |
|
|
80.000000000000000 },
|
3410 |
|
|
{ 6.9926310700401904e+21, 100, 50,
|
3411 |
|
|
90.000000000000000 },
|
3412 |
|
|
{ -5.5727272809923697e+22, 100, 50,
|
3413 |
|
|
100.00000000000000 },
|
3414 |
|
|
};
|
3415 |
|
|
|
3416 |
|
|
// Test function for n=100, m=50.
|
3417 |
|
|
template <typename Tp>
|
3418 |
|
|
void test063()
|
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(data063)
|
3424 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
3425 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3426 |
|
|
{
|
3427 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data063[i].n), Tp(data063[i].m),
|
3428 |
|
|
Tp(data063[i].x));
|
3429 |
|
|
const Tp f0 = data063[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(1.0000000000000008e-12));
|
3442 |
|
|
}
|
3443 |
|
|
|
3444 |
|
|
// Test data for n=100, m=100.
|
3445 |
|
|
testcase_assoc_laguerre<double> data064[] = {
|
3446 |
|
|
{ 9.0548514656103225e+58, 100, 100,
|
3447 |
|
|
0.0000000000000000 },
|
3448 |
|
|
{ 1.3334078033060576e+54, 100, 100,
|
3449 |
|
|
10.000000000000000 },
|
3450 |
|
|
{ 2.1002639254211231e+46, 100, 100,
|
3451 |
|
|
20.000000000000000 },
|
3452 |
|
|
{ -1.1073158068796240e+39, 100, 100,
|
3453 |
|
|
30.000000000000000 },
|
3454 |
|
|
{ -8.3640937363981405e+35, 100, 100,
|
3455 |
|
|
40.000000000000000 },
|
3456 |
|
|
{ -6.5879339429312671e+32, 100, 100,
|
3457 |
|
|
50.000000000000000 },
|
3458 |
|
|
{ -2.4190645077698453e+30, 100, 100,
|
3459 |
|
|
60.000000000000000 },
|
3460 |
|
|
{ -7.9224960465662002e+29, 100, 100,
|
3461 |
|
|
70.000000000000000 },
|
3462 |
|
|
{ -2.8605772478408853e+29, 100, 100,
|
3463 |
|
|
80.000000000000000 },
|
3464 |
|
|
{ 2.4149589189610125e+28, 100, 100,
|
3465 |
|
|
90.000000000000000 },
|
3466 |
|
|
{ 5.1146476014859003e+28, 100, 100,
|
3467 |
|
|
100.00000000000000 },
|
3468 |
|
|
};
|
3469 |
|
|
|
3470 |
|
|
// Test function for n=100, m=100.
|
3471 |
|
|
template <typename Tp>
|
3472 |
|
|
void test064()
|
3473 |
|
|
{
|
3474 |
|
|
const Tp eps = std::numeric_limits<Tp>::epsilon();
|
3475 |
|
|
Tp max_abs_diff = -Tp(1);
|
3476 |
|
|
Tp max_abs_frac = -Tp(1);
|
3477 |
|
|
unsigned int num_datum = sizeof(data064)
|
3478 |
|
|
/ sizeof(testcase_assoc_laguerre<double>);
|
3479 |
|
|
for (unsigned int i = 0; i < num_datum; ++i)
|
3480 |
|
|
{
|
3481 |
|
|
const Tp f = std::tr1::assoc_laguerre(Tp(data064[i].n), Tp(data064[i].m),
|
3482 |
|
|
Tp(data064[i].x));
|
3483 |
|
|
const Tp f0 = data064[i].f0;
|
3484 |
|
|
const Tp diff = f - f0;
|
3485 |
|
|
if (std::abs(diff) > max_abs_diff)
|
3486 |
|
|
max_abs_diff = std::abs(diff);
|
3487 |
|
|
if (std::abs(f0) > Tp(10) * eps
|
3488 |
|
|
&& std::abs(f) > Tp(10) * eps)
|
3489 |
|
|
{
|
3490 |
|
|
const Tp frac = diff / f0;
|
3491 |
|
|
if (std::abs(frac) > max_abs_frac)
|
3492 |
|
|
max_abs_frac = std::abs(frac);
|
3493 |
|
|
}
|
3494 |
|
|
}
|
3495 |
|
|
VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
|
3496 |
|
|
}
|
3497 |
|
|
|
3498 |
|
|
int main(int, char**)
|
3499 |
|
|
{
|
3500 |
|
|
test001<double>();
|
3501 |
|
|
test002<double>();
|
3502 |
|
|
test003<double>();
|
3503 |
|
|
test004<double>();
|
3504 |
|
|
test005<double>();
|
3505 |
|
|
test006<double>();
|
3506 |
|
|
test007<double>();
|
3507 |
|
|
test008<double>();
|
3508 |
|
|
test009<double>();
|
3509 |
|
|
test010<double>();
|
3510 |
|
|
test011<double>();
|
3511 |
|
|
test012<double>();
|
3512 |
|
|
test013<double>();
|
3513 |
|
|
test014<double>();
|
3514 |
|
|
test015<double>();
|
3515 |
|
|
test016<double>();
|
3516 |
|
|
test017<double>();
|
3517 |
|
|
test018<double>();
|
3518 |
|
|
test019<double>();
|
3519 |
|
|
test020<double>();
|
3520 |
|
|
test021<double>();
|
3521 |
|
|
test022<double>();
|
3522 |
|
|
test023<double>();
|
3523 |
|
|
test024<double>();
|
3524 |
|
|
test025<double>();
|
3525 |
|
|
test026<double>();
|
3526 |
|
|
test027<double>();
|
3527 |
|
|
test028<double>();
|
3528 |
|
|
test029<double>();
|
3529 |
|
|
test030<double>();
|
3530 |
|
|
test031<double>();
|
3531 |
|
|
test032<double>();
|
3532 |
|
|
test033<double>();
|
3533 |
|
|
test034<double>();
|
3534 |
|
|
test035<double>();
|
3535 |
|
|
test036<double>();
|
3536 |
|
|
test037<double>();
|
3537 |
|
|
test038<double>();
|
3538 |
|
|
test039<double>();
|
3539 |
|
|
test040<double>();
|
3540 |
|
|
test041<double>();
|
3541 |
|
|
test042<double>();
|
3542 |
|
|
test043<double>();
|
3543 |
|
|
test044<double>();
|
3544 |
|
|
test045<double>();
|
3545 |
|
|
test046<double>();
|
3546 |
|
|
test047<double>();
|
3547 |
|
|
test048<double>();
|
3548 |
|
|
test049<double>();
|
3549 |
|
|
test050<double>();
|
3550 |
|
|
test051<double>();
|
3551 |
|
|
test052<double>();
|
3552 |
|
|
test053<double>();
|
3553 |
|
|
test054<double>();
|
3554 |
|
|
test055<double>();
|
3555 |
|
|
test056<double>();
|
3556 |
|
|
test057<double>();
|
3557 |
|
|
test058<double>();
|
3558 |
|
|
test059<double>();
|
3559 |
|
|
test060<double>();
|
3560 |
|
|
test061<double>();
|
3561 |
|
|
test062<double>();
|
3562 |
|
|
test063<double>();
|
3563 |
|
|
test064<double>();
|
3564 |
|
|
return 0;
|
3565 |
|
|
}
|