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Diffstat (limited to 'libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre')
4 files changed, 3706 insertions, 0 deletions
diff --git a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/check_nan.cc b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/check_nan.cc new file mode 100644 index 000000000..c1e026a6f --- /dev/null +++ b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/check_nan.cc @@ -0,0 +1,57 @@ +// { dg-require-c-std "" } +// { dg-add-options ieee } + +// 2006-02-04 Edward Smith-Rowland <3dw4rd@verizon.net> +// +// Copyright (C) 2006-2007, 2009 Free Software Foundation, Inc. +// +// This file is part of the GNU ISO C++ Library. This library is free +// software; you can redistribute it and/or modify it under the +// terms of the GNU General Public License as published by the +// Free Software Foundation; either version 3, or (at your option) +// any later version. +// +// This library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU General Public License along +// with this library; see the file COPYING3. If not see +// <http://www.gnu.org/licenses/>. + +// 5.2.1.1 assoc_laguerre + +#include <tr1/cmath> +#include <testsuite_hooks.h> + +void +test01() +{ + float xf = std::numeric_limits<float>::quiet_NaN(); + double xd = std::numeric_limits<double>::quiet_NaN(); + long double xl = std::numeric_limits<long double>::quiet_NaN(); + unsigned int n = 2, m = 1; + + float a = std::tr1::assoc_laguerre(n, m, xf); + float b = std::tr1::assoc_laguerref(n, m, xf); + double c = std::tr1::assoc_laguerre(n, m, xd); + long double d = std::tr1::assoc_laguerre(n, m, xl); + long double e = std::tr1::assoc_laguerrel(n, m, xl); + + VERIFY(std::tr1::isnan<float>(a)); + VERIFY(std::tr1::isnan<float>(b)); + VERIFY(std::tr1::isnan<double>(c)); + VERIFY(std::tr1::isnan<long double>(d)); + VERIFY(std::tr1::isnan<long double>(e)); + + return; +} + +int +main() +{ + test01(); + return 0; +} + diff --git a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/check_value.cc b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/check_value.cc new file mode 100644 index 000000000..d6fdcfeaf --- /dev/null +++ b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/check_value.cc @@ -0,0 +1,3565 @@ +// 2007-02-04 Edward Smith-Rowland <3dw4rd@verizon.net> +// +// Copyright (C) 2007, 2009 Free Software Foundation, Inc. +// +// This file is part of the GNU ISO C++ Library. This library is free +// software; you can redistribute it and/or modify it under the +// terms of the GNU General Public License as published by the +// Free Software Foundation; either version 3, or (at your option) +// any later version. +// +// This library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU General Public License along +// with this library; see the file COPYING3. If not see +// <http://www.gnu.org/licenses/>. + +// assoc_laguerre + + +// Compare against values generated by the GNU Scientific Library. +// The GSL can be found on the web: http://www.gnu.org/software/gsl/ + +#include <tr1/cmath> +#if defined(__TEST_DEBUG) +#include <iostream> +#define VERIFY(A) \ +if (!(A)) \ + { \ + std::cout << "line " << __LINE__ \ + << " max_abs_frac = " << max_abs_frac \ + << std::endl; \ + } +#else +#include <testsuite_hooks.h> +#endif +#include "../testcase.h" + + +// Test data for n=0, m=0. +testcase_assoc_laguerre<double> data001[] = { + { 1.0000000000000000, 0, 0, + 0.0000000000000000 }, + { 1.0000000000000000, 0, 0, + 10.000000000000000 }, + { 1.0000000000000000, 0, 0, + 20.000000000000000 }, + { 1.0000000000000000, 0, 0, + 30.000000000000000 }, + { 1.0000000000000000, 0, 0, + 40.000000000000000 }, + { 1.0000000000000000, 0, 0, + 50.000000000000000 }, + { 1.0000000000000000, 0, 0, + 60.000000000000000 }, + { 1.0000000000000000, 0, 0, + 70.000000000000000 }, + { 1.0000000000000000, 0, 0, + 80.000000000000000 }, + { 1.0000000000000000, 0, 0, + 90.000000000000000 }, + { 1.0000000000000000, 0, 0, + 100.00000000000000 }, +}; + +// Test function for n=0, m=0. +template <typename Tp> +void test001() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data001) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data001[i].n), Tp(data001[i].m), + Tp(data001[i].x)); + const Tp f0 = data001[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=0, m=1. +testcase_assoc_laguerre<double> data002[] = { + { 1.0000000000000000, 0, 1, + 0.0000000000000000 }, + { 1.0000000000000000, 0, 1, + 10.000000000000000 }, + { 1.0000000000000000, 0, 1, + 20.000000000000000 }, + { 1.0000000000000000, 0, 1, + 30.000000000000000 }, + { 1.0000000000000000, 0, 1, + 40.000000000000000 }, + { 1.0000000000000000, 0, 1, + 50.000000000000000 }, + { 1.0000000000000000, 0, 1, + 60.000000000000000 }, + { 1.0000000000000000, 0, 1, + 70.000000000000000 }, + { 1.0000000000000000, 0, 1, + 80.000000000000000 }, + { 1.0000000000000000, 0, 1, + 90.000000000000000 }, + { 1.0000000000000000, 0, 1, + 100.00000000000000 }, +}; + +// Test function for n=0, m=1. +template <typename Tp> +void test002() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data002) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data002[i].n), Tp(data002[i].m), + Tp(data002[i].x)); + const Tp f0 = data002[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=0, m=2. +testcase_assoc_laguerre<double> data003[] = { + { 1.0000000000000000, 0, 2, + 0.0000000000000000 }, + { 1.0000000000000000, 0, 2, + 10.000000000000000 }, + { 1.0000000000000000, 0, 2, + 20.000000000000000 }, + { 1.0000000000000000, 0, 2, + 30.000000000000000 }, + { 1.0000000000000000, 0, 2, + 40.000000000000000 }, + { 1.0000000000000000, 0, 2, + 50.000000000000000 }, + { 1.0000000000000000, 0, 2, + 60.000000000000000 }, + { 1.0000000000000000, 0, 2, + 70.000000000000000 }, + { 1.0000000000000000, 0, 2, + 80.000000000000000 }, + { 1.0000000000000000, 0, 2, + 90.000000000000000 }, + { 1.0000000000000000, 0, 2, + 100.00000000000000 }, +}; + +// Test function for n=0, m=2. +template <typename Tp> +void test003() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data003) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data003[i].n), Tp(data003[i].m), + Tp(data003[i].x)); + const Tp f0 = data003[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=0, m=5. +testcase_assoc_laguerre<double> data004[] = { + { 1.0000000000000000, 0, 5, + 0.0000000000000000 }, + { 1.0000000000000000, 0, 5, + 10.000000000000000 }, + { 1.0000000000000000, 0, 5, + 20.000000000000000 }, + { 1.0000000000000000, 0, 5, + 30.000000000000000 }, + { 1.0000000000000000, 0, 5, + 40.000000000000000 }, + { 1.0000000000000000, 0, 5, + 50.000000000000000 }, + { 1.0000000000000000, 0, 5, + 60.000000000000000 }, + { 1.0000000000000000, 0, 5, + 70.000000000000000 }, + { 1.0000000000000000, 0, 5, + 80.000000000000000 }, + { 1.0000000000000000, 0, 5, + 90.000000000000000 }, + { 1.0000000000000000, 0, 5, + 100.00000000000000 }, +}; + +// Test function for n=0, m=5. +template <typename Tp> +void test004() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data004) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data004[i].n), Tp(data004[i].m), + Tp(data004[i].x)); + const Tp f0 = data004[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=0, m=10. +testcase_assoc_laguerre<double> data005[] = { + { 1.0000000000000000, 0, 10, + 0.0000000000000000 }, + { 1.0000000000000000, 0, 10, + 10.000000000000000 }, + { 1.0000000000000000, 0, 10, + 20.000000000000000 }, + { 1.0000000000000000, 0, 10, + 30.000000000000000 }, + { 1.0000000000000000, 0, 10, + 40.000000000000000 }, + { 1.0000000000000000, 0, 10, + 50.000000000000000 }, + { 1.0000000000000000, 0, 10, + 60.000000000000000 }, + { 1.0000000000000000, 0, 10, + 70.000000000000000 }, + { 1.0000000000000000, 0, 10, + 80.000000000000000 }, + { 1.0000000000000000, 0, 10, + 90.000000000000000 }, + { 1.0000000000000000, 0, 10, + 100.00000000000000 }, +}; + +// Test function for n=0, m=10. +template <typename Tp> +void test005() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data005) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data005[i].n), Tp(data005[i].m), + Tp(data005[i].x)); + const Tp f0 = data005[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=0, m=20. +testcase_assoc_laguerre<double> data006[] = { + { 1.0000000000000000, 0, 20, + 0.0000000000000000 }, + { 1.0000000000000000, 0, 20, + 10.000000000000000 }, + { 1.0000000000000000, 0, 20, + 20.000000000000000 }, + { 1.0000000000000000, 0, 20, + 30.000000000000000 }, + { 1.0000000000000000, 0, 20, + 40.000000000000000 }, + { 1.0000000000000000, 0, 20, + 50.000000000000000 }, + { 1.0000000000000000, 0, 20, + 60.000000000000000 }, + { 1.0000000000000000, 0, 20, + 70.000000000000000 }, + { 1.0000000000000000, 0, 20, + 80.000000000000000 }, + { 1.0000000000000000, 0, 20, + 90.000000000000000 }, + { 1.0000000000000000, 0, 20, + 100.00000000000000 }, +}; + +// Test function for n=0, m=20. +template <typename Tp> +void test006() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data006) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data006[i].n), Tp(data006[i].m), + Tp(data006[i].x)); + const Tp f0 = data006[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=0, m=50. +testcase_assoc_laguerre<double> data007[] = { + { 1.0000000000000000, 0, 50, + 0.0000000000000000 }, + { 1.0000000000000000, 0, 50, + 10.000000000000000 }, + { 1.0000000000000000, 0, 50, + 20.000000000000000 }, + { 1.0000000000000000, 0, 50, + 30.000000000000000 }, + { 1.0000000000000000, 0, 50, + 40.000000000000000 }, + { 1.0000000000000000, 0, 50, + 50.000000000000000 }, + { 1.0000000000000000, 0, 50, + 60.000000000000000 }, + { 1.0000000000000000, 0, 50, + 70.000000000000000 }, + { 1.0000000000000000, 0, 50, + 80.000000000000000 }, + { 1.0000000000000000, 0, 50, + 90.000000000000000 }, + { 1.0000000000000000, 0, 50, + 100.00000000000000 }, +}; + +// Test function for n=0, m=50. +template <typename Tp> +void test007() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data007) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data007[i].n), Tp(data007[i].m), + Tp(data007[i].x)); + const Tp f0 = data007[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=0, m=100. +testcase_assoc_laguerre<double> data008[] = { + { 1.0000000000000000, 0, 100, + 0.0000000000000000 }, + { 1.0000000000000000, 0, 100, + 10.000000000000000 }, + { 1.0000000000000000, 0, 100, + 20.000000000000000 }, + { 1.0000000000000000, 0, 100, + 30.000000000000000 }, + { 1.0000000000000000, 0, 100, + 40.000000000000000 }, + { 1.0000000000000000, 0, 100, + 50.000000000000000 }, + { 1.0000000000000000, 0, 100, + 60.000000000000000 }, + { 1.0000000000000000, 0, 100, + 70.000000000000000 }, + { 1.0000000000000000, 0, 100, + 80.000000000000000 }, + { 1.0000000000000000, 0, 100, + 90.000000000000000 }, + { 1.0000000000000000, 0, 100, + 100.00000000000000 }, +}; + +// Test function for n=0, m=100. +template <typename Tp> +void test008() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data008) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data008[i].n), Tp(data008[i].m), + Tp(data008[i].x)); + const Tp f0 = data008[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=1, m=0. +testcase_assoc_laguerre<double> data009[] = { + { 1.0000000000000000, 1, 0, + 0.0000000000000000 }, + { -9.0000000000000000, 1, 0, + 10.000000000000000 }, + { -19.000000000000000, 1, 0, + 20.000000000000000 }, + { -29.000000000000000, 1, 0, + 30.000000000000000 }, + { -39.000000000000000, 1, 0, + 40.000000000000000 }, + { -49.000000000000000, 1, 0, + 50.000000000000000 }, + { -59.000000000000000, 1, 0, + 60.000000000000000 }, + { -69.000000000000000, 1, 0, + 70.000000000000000 }, + { -79.000000000000000, 1, 0, + 80.000000000000000 }, + { -89.000000000000000, 1, 0, + 90.000000000000000 }, + { -99.000000000000000, 1, 0, + 100.00000000000000 }, +}; + +// Test function for n=1, m=0. +template <typename Tp> +void test009() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data009) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data009[i].n), Tp(data009[i].m), + Tp(data009[i].x)); + const Tp f0 = data009[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=1, m=1. +testcase_assoc_laguerre<double> data010[] = { + { 2.0000000000000000, 1, 1, + 0.0000000000000000 }, + { -8.0000000000000000, 1, 1, + 10.000000000000000 }, + { -18.000000000000000, 1, 1, + 20.000000000000000 }, + { -28.000000000000000, 1, 1, + 30.000000000000000 }, + { -38.000000000000000, 1, 1, + 40.000000000000000 }, + { -48.000000000000000, 1, 1, + 50.000000000000000 }, + { -58.000000000000000, 1, 1, + 60.000000000000000 }, + { -68.000000000000000, 1, 1, + 70.000000000000000 }, + { -78.000000000000000, 1, 1, + 80.000000000000000 }, + { -88.000000000000000, 1, 1, + 90.000000000000000 }, + { -98.000000000000000, 1, 1, + 100.00000000000000 }, +}; + +// Test function for n=1, m=1. +template <typename Tp> +void test010() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data010) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data010[i].n), Tp(data010[i].m), + Tp(data010[i].x)); + const Tp f0 = data010[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=1, m=2. +testcase_assoc_laguerre<double> data011[] = { + { 3.0000000000000000, 1, 2, + 0.0000000000000000 }, + { -7.0000000000000000, 1, 2, + 10.000000000000000 }, + { -17.000000000000000, 1, 2, + 20.000000000000000 }, + { -27.000000000000000, 1, 2, + 30.000000000000000 }, + { -37.000000000000000, 1, 2, + 40.000000000000000 }, + { -47.000000000000000, 1, 2, + 50.000000000000000 }, + { -57.000000000000000, 1, 2, + 60.000000000000000 }, + { -67.000000000000000, 1, 2, + 70.000000000000000 }, + { -77.000000000000000, 1, 2, + 80.000000000000000 }, + { -87.000000000000000, 1, 2, + 90.000000000000000 }, + { -97.000000000000000, 1, 2, + 100.00000000000000 }, +}; + +// Test function for n=1, m=2. +template <typename Tp> +void test011() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data011) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data011[i].n), Tp(data011[i].m), + Tp(data011[i].x)); + const Tp f0 = data011[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=1, m=5. +testcase_assoc_laguerre<double> data012[] = { + { 6.0000000000000000, 1, 5, + 0.0000000000000000 }, + { -4.0000000000000000, 1, 5, + 10.000000000000000 }, + { -14.000000000000000, 1, 5, + 20.000000000000000 }, + { -24.000000000000000, 1, 5, + 30.000000000000000 }, + { -34.000000000000000, 1, 5, + 40.000000000000000 }, + { -44.000000000000000, 1, 5, + 50.000000000000000 }, + { -54.000000000000000, 1, 5, + 60.000000000000000 }, + { -64.000000000000000, 1, 5, + 70.000000000000000 }, + { -74.000000000000000, 1, 5, + 80.000000000000000 }, + { -84.000000000000000, 1, 5, + 90.000000000000000 }, + { -94.000000000000000, 1, 5, + 100.00000000000000 }, +}; + +// Test function for n=1, m=5. +template <typename Tp> +void test012() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data012) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data012[i].n), Tp(data012[i].m), + Tp(data012[i].x)); + const Tp f0 = data012[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=1, m=10. +testcase_assoc_laguerre<double> data013[] = { + { 11.000000000000000, 1, 10, + 0.0000000000000000 }, + { 1.0000000000000000, 1, 10, + 10.000000000000000 }, + { -9.0000000000000000, 1, 10, + 20.000000000000000 }, + { -19.000000000000000, 1, 10, + 30.000000000000000 }, + { -29.000000000000000, 1, 10, + 40.000000000000000 }, + { -39.000000000000000, 1, 10, + 50.000000000000000 }, + { -49.000000000000000, 1, 10, + 60.000000000000000 }, + { -59.000000000000000, 1, 10, + 70.000000000000000 }, + { -69.000000000000000, 1, 10, + 80.000000000000000 }, + { -79.000000000000000, 1, 10, + 90.000000000000000 }, + { -89.000000000000000, 1, 10, + 100.00000000000000 }, +}; + +// Test function for n=1, m=10. +template <typename Tp> +void test013() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data013) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data013[i].n), Tp(data013[i].m), + Tp(data013[i].x)); + const Tp f0 = data013[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=1, m=20. +testcase_assoc_laguerre<double> data014[] = { + { 21.000000000000000, 1, 20, + 0.0000000000000000 }, + { 11.000000000000000, 1, 20, + 10.000000000000000 }, + { 1.0000000000000000, 1, 20, + 20.000000000000000 }, + { -9.0000000000000000, 1, 20, + 30.000000000000000 }, + { -19.000000000000000, 1, 20, + 40.000000000000000 }, + { -29.000000000000000, 1, 20, + 50.000000000000000 }, + { -39.000000000000000, 1, 20, + 60.000000000000000 }, + { -49.000000000000000, 1, 20, + 70.000000000000000 }, + { -59.000000000000000, 1, 20, + 80.000000000000000 }, + { -69.000000000000000, 1, 20, + 90.000000000000000 }, + { -79.000000000000000, 1, 20, + 100.00000000000000 }, +}; + +// Test function for n=1, m=20. +template <typename Tp> +void test014() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data014) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data014[i].n), Tp(data014[i].m), + Tp(data014[i].x)); + const Tp f0 = data014[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=1, m=50. +testcase_assoc_laguerre<double> data015[] = { + { 51.000000000000000, 1, 50, + 0.0000000000000000 }, + { 41.000000000000000, 1, 50, + 10.000000000000000 }, + { 31.000000000000000, 1, 50, + 20.000000000000000 }, + { 21.000000000000000, 1, 50, + 30.000000000000000 }, + { 11.000000000000000, 1, 50, + 40.000000000000000 }, + { 1.0000000000000000, 1, 50, + 50.000000000000000 }, + { -9.0000000000000000, 1, 50, + 60.000000000000000 }, + { -19.000000000000000, 1, 50, + 70.000000000000000 }, + { -29.000000000000000, 1, 50, + 80.000000000000000 }, + { -39.000000000000000, 1, 50, + 90.000000000000000 }, + { -49.000000000000000, 1, 50, + 100.00000000000000 }, +}; + +// Test function for n=1, m=50. +template <typename Tp> +void test015() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data015) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data015[i].n), Tp(data015[i].m), + Tp(data015[i].x)); + const Tp f0 = data015[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=1, m=100. +testcase_assoc_laguerre<double> data016[] = { + { 101.00000000000000, 1, 100, + 0.0000000000000000 }, + { 91.000000000000000, 1, 100, + 10.000000000000000 }, + { 81.000000000000000, 1, 100, + 20.000000000000000 }, + { 71.000000000000000, 1, 100, + 30.000000000000000 }, + { 61.000000000000000, 1, 100, + 40.000000000000000 }, + { 51.000000000000000, 1, 100, + 50.000000000000000 }, + { 41.000000000000000, 1, 100, + 60.000000000000000 }, + { 31.000000000000000, 1, 100, + 70.000000000000000 }, + { 21.000000000000000, 1, 100, + 80.000000000000000 }, + { 11.000000000000000, 1, 100, + 90.000000000000000 }, + { 1.0000000000000000, 1, 100, + 100.00000000000000 }, +}; + +// Test function for n=1, m=100. +template <typename Tp> +void test016() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data016) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data016[i].n), Tp(data016[i].m), + Tp(data016[i].x)); + const Tp f0 = data016[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=2, m=0. +testcase_assoc_laguerre<double> data017[] = { + { 1.0000000000000000, 2, 0, + 0.0000000000000000 }, + { 31.000000000000000, 2, 0, + 10.000000000000000 }, + { 161.00000000000000, 2, 0, + 20.000000000000000 }, + { 391.00000000000000, 2, 0, + 30.000000000000000 }, + { 721.00000000000000, 2, 0, + 40.000000000000000 }, + { 1151.0000000000000, 2, 0, + 50.000000000000000 }, + { 1681.0000000000000, 2, 0, + 60.000000000000000 }, + { 2311.0000000000000, 2, 0, + 70.000000000000000 }, + { 3041.0000000000000, 2, 0, + 80.000000000000000 }, + { 3871.0000000000000, 2, 0, + 90.000000000000000 }, + { 4801.0000000000000, 2, 0, + 100.00000000000000 }, +}; + +// Test function for n=2, m=0. +template <typename Tp> +void test017() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data017) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data017[i].n), Tp(data017[i].m), + Tp(data017[i].x)); + const Tp f0 = data017[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=2, m=1. +testcase_assoc_laguerre<double> data018[] = { + { 3.0000000000000000, 2, 1, + 0.0000000000000000 }, + { 23.000000000000000, 2, 1, + 10.000000000000000 }, + { 143.00000000000000, 2, 1, + 20.000000000000000 }, + { 363.00000000000000, 2, 1, + 30.000000000000000 }, + { 683.00000000000000, 2, 1, + 40.000000000000000 }, + { 1103.0000000000000, 2, 1, + 50.000000000000000 }, + { 1623.0000000000000, 2, 1, + 60.000000000000000 }, + { 2243.0000000000000, 2, 1, + 70.000000000000000 }, + { 2963.0000000000000, 2, 1, + 80.000000000000000 }, + { 3783.0000000000000, 2, 1, + 90.000000000000000 }, + { 4703.0000000000000, 2, 1, + 100.00000000000000 }, +}; + +// Test function for n=2, m=1. +template <typename Tp> +void test018() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data018) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data018[i].n), Tp(data018[i].m), + Tp(data018[i].x)); + const Tp f0 = data018[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=2, m=2. +testcase_assoc_laguerre<double> data019[] = { + { 6.0000000000000000, 2, 2, + 0.0000000000000000 }, + { 16.000000000000000, 2, 2, + 10.000000000000000 }, + { 126.00000000000000, 2, 2, + 20.000000000000000 }, + { 336.00000000000000, 2, 2, + 30.000000000000000 }, + { 646.00000000000000, 2, 2, + 40.000000000000000 }, + { 1056.0000000000000, 2, 2, + 50.000000000000000 }, + { 1566.0000000000000, 2, 2, + 60.000000000000000 }, + { 2176.0000000000000, 2, 2, + 70.000000000000000 }, + { 2886.0000000000000, 2, 2, + 80.000000000000000 }, + { 3696.0000000000000, 2, 2, + 90.000000000000000 }, + { 4606.0000000000000, 2, 2, + 100.00000000000000 }, +}; + +// Test function for n=2, m=2. +template <typename Tp> +void test019() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data019) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data019[i].n), Tp(data019[i].m), + Tp(data019[i].x)); + const Tp f0 = data019[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=2, m=5. +testcase_assoc_laguerre<double> data020[] = { + { 21.000000000000000, 2, 5, + 0.0000000000000000 }, + { 0.99999999999999645, 2, 5, + 10.000000000000000 }, + { 81.000000000000000, 2, 5, + 20.000000000000000 }, + { 261.00000000000000, 2, 5, + 30.000000000000000 }, + { 541.00000000000000, 2, 5, + 40.000000000000000 }, + { 921.00000000000000, 2, 5, + 50.000000000000000 }, + { 1401.0000000000000, 2, 5, + 60.000000000000000 }, + { 1981.0000000000000, 2, 5, + 70.000000000000000 }, + { 2661.0000000000000, 2, 5, + 80.000000000000000 }, + { 3441.0000000000000, 2, 5, + 90.000000000000000 }, + { 4321.0000000000000, 2, 5, + 100.00000000000000 }, +}; + +// Test function for n=2, m=5. +template <typename Tp> +void test020() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data020) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data020[i].n), Tp(data020[i].m), + Tp(data020[i].x)); + const Tp f0 = data020[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=2, m=10. +testcase_assoc_laguerre<double> data021[] = { + { 66.000000000000000, 2, 10, + 0.0000000000000000 }, + { -4.0000000000000089, 2, 10, + 10.000000000000000 }, + { 25.999999999999964, 2, 10, + 20.000000000000000 }, + { 156.00000000000000, 2, 10, + 30.000000000000000 }, + { 386.00000000000000, 2, 10, + 40.000000000000000 }, + { 716.00000000000000, 2, 10, + 50.000000000000000 }, + { 1146.0000000000000, 2, 10, + 60.000000000000000 }, + { 1676.0000000000000, 2, 10, + 70.000000000000000 }, + { 2306.0000000000000, 2, 10, + 80.000000000000000 }, + { 3036.0000000000000, 2, 10, + 90.000000000000000 }, + { 3866.0000000000000, 2, 10, + 100.00000000000000 }, +}; + +// Test function for n=2, m=10. +template <typename Tp> +void test021() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data021) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data021[i].n), Tp(data021[i].m), + Tp(data021[i].x)); + const Tp f0 = data021[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=2, m=20. +testcase_assoc_laguerre<double> data022[] = { + { 231.00000000000000, 2, 20, + 0.0000000000000000 }, + { 61.000000000000206, 2, 20, + 10.000000000000000 }, + { -8.9999999999999982, 2, 20, + 20.000000000000000 }, + { 21.000000000000135, 2, 20, + 30.000000000000000 }, + { 151.00000000000054, 2, 20, + 40.000000000000000 }, + { 381.00000000000000, 2, 20, + 50.000000000000000 }, + { 711.00000000000000, 2, 20, + 60.000000000000000 }, + { 1141.0000000000000, 2, 20, + 70.000000000000000 }, + { 1670.9999999999998, 2, 20, + 80.000000000000000 }, + { 2301.0000000000000, 2, 20, + 90.000000000000000 }, + { 3031.0000000000000, 2, 20, + 100.00000000000000 }, +}; + +// Test function for n=2, m=20. +template <typename Tp> +void test022() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data022) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data022[i].n), Tp(data022[i].m), + Tp(data022[i].x)); + const Tp f0 = data022[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(5.0000000000000039e-13)); +} + +// Test data for n=2, m=50. +testcase_assoc_laguerre<double> data023[] = { + { 1326.0000000000000, 2, 50, + 0.0000000000000000 }, + { 855.99999999999716, 2, 50, + 10.000000000000000 }, + { 485.99999999999829, 2, 50, + 20.000000000000000 }, + { 215.99999999999935, 2, 50, + 30.000000000000000 }, + { 45.999999999999787, 2, 50, + 40.000000000000000 }, + { -23.999999999999684, 2, 50, + 50.000000000000000 }, + { 6.0000000000001217, 2, 50, + 60.000000000000000 }, + { 135.99999999999972, 2, 50, + 70.000000000000000 }, + { 365.99999999999892, 2, 50, + 80.000000000000000 }, + { 695.99999999999784, 2, 50, + 90.000000000000000 }, + { 1125.9999999999964, 2, 50, + 100.00000000000000 }, +}; + +// Test function for n=2, m=50. +template <typename Tp> +void test023() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data023) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data023[i].n), Tp(data023[i].m), + Tp(data023[i].x)); + const Tp f0 = data023[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000015e-12)); +} + +// Test data for n=2, m=100. +testcase_assoc_laguerre<double> data024[] = { + { 5151.0000000000000, 2, 100, + 0.0000000000000000 }, + { 4181.0000000000655, 2, 100, + 10.000000000000000 }, + { 3311.0000000000518, 2, 100, + 20.000000000000000 }, + { 2541.0000000000400, 2, 100, + 30.000000000000000 }, + { 1871.0000000000291, 2, 100, + 40.000000000000000 }, + { 1301.0000000000207, 2, 100, + 50.000000000000000 }, + { 831.00000000001364, 2, 100, + 60.000000000000000 }, + { 461.00000000000682, 2, 100, + 70.000000000000000 }, + { 191.00000000000227, 2, 100, + 80.000000000000000 }, + { 21.000000000000128, 2, 100, + 90.000000000000000 }, + { -49.000000000000369, 2, 100, + 100.00000000000000 }, +}; + +// Test function for n=2, m=100. +template <typename Tp> +void test024() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data024) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data024[i].n), Tp(data024[i].m), + Tp(data024[i].x)); + const Tp f0 = data024[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(1.0000000000000008e-12)); +} + +// Test data for n=5, m=0. +testcase_assoc_laguerre<double> data025[] = { + { 1.0000000000000000, 5, 0, + 0.0000000000000000 }, + { 34.333333333333329, 5, 0, + 10.000000000000000 }, + { -4765.6666666666670, 5, 0, + 20.000000000000000 }, + { -74399.000000000000, 5, 0, + 30.000000000000000 }, + { -418865.66666666663, 5, 0, + 40.000000000000000 }, + { -1498165.6666666665, 5, 0, + 50.000000000000000 }, + { -4122299.0000000000, 5, 0, + 60.000000000000000 }, + { -9551265.6666666679, 5, 0, + 70.000000000000000 }, + { -19595065.666666664, 5, 0, + 80.000000000000000 }, + { -36713699.000000000, 5, 0, + 90.000000000000000 }, + { -64117165.666666664, 5, 0, + 100.00000000000000 }, +}; + +// Test function for n=5, m=0. +template <typename Tp> +void test025() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data025) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data025[i].n), Tp(data025[i].m), + Tp(data025[i].x)); + const Tp f0 = data025[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=5, m=1. +testcase_assoc_laguerre<double> data026[] = { + { 6.0000000000000000, 5, 1, + 0.0000000000000000 }, + { 22.666666666666661, 5, 1, + 10.000000000000000 }, + { -2960.6666666666661, 5, 1, + 20.000000000000000 }, + { -58944.000000000000, 5, 1, + 30.000000000000000 }, + { -357927.33333333326, 5, 1, + 40.000000000000000 }, + { -1329910.6666666665, 5, 1, + 50.000000000000000 }, + { -3744894.0000000000, 5, 1, + 60.000000000000000 }, + { -8812877.3333333321, 5, 1, + 70.000000000000000 }, + { -18283860.666666664, 5, 1, + 80.000000000000000 }, + { -34547844.000000000, 5, 1, + 90.000000000000000 }, + { -60734827.333333336, 5, 1, + 100.00000000000000 }, +}; + +// Test function for n=5, m=1. +template <typename Tp> +void test026() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data026) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data026[i].n), Tp(data026[i].m), + Tp(data026[i].x)); + const Tp f0 = data026[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=5, m=2. +testcase_assoc_laguerre<double> data027[] = { + { 21.000000000000000, 5, 2, + 0.0000000000000000 }, + { 4.3333333333333339, 5, 2, + 10.000000000000000 }, + { -1679.0000000000000, 5, 2, + 20.000000000000000 }, + { -46029.000000000000, 5, 2, + 30.000000000000000 }, + { -304045.66666666669, 5, 2, + 40.000000000000000 }, + { -1176729.0000000002, 5, 2, + 50.000000000000000 }, + { -3395079.0000000000, 5, 2, + 60.000000000000000 }, + { -8120095.6666666660, 5, 2, + 70.000000000000000 }, + { -17042778.999999996, 5, 2, + 80.000000000000000 }, + { -32484129.000000000, 5, 2, + 90.000000000000000 }, + { -57495145.666666664, 5, 2, + 100.00000000000000 }, +}; + +// Test function for n=5, m=2. +template <typename Tp> +void test027() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data027) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data027[i].n), Tp(data027[i].m), + Tp(data027[i].x)); + const Tp f0 = data027[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=5, m=5. +testcase_assoc_laguerre<double> data028[] = { + { 252.00000000000000, 5, 5, + 0.0000000000000000 }, + { -14.666666666666657, 5, 5, + 10.000000000000000 }, + { 51.999999999999957, 5, 5, + 20.000000000000000 }, + { -19548.000000000000, 5, 5, + 30.000000000000000 }, + { -178814.66666666660, 5, 5, + 40.000000000000000 }, + { -797747.99999999977, 5, 5, + 50.000000000000000 }, + { -2496348.0000000000, 5, 5, + 60.000000000000000 }, + { -6294614.6666666660, 5, 5, + 70.000000000000000 }, + { -13712547.999999996, 5, 5, + 80.000000000000000 }, + { -26870147.999999993, 5, 5, + 90.000000000000000 }, + { -48587414.666666672, 5, 5, + 100.00000000000000 }, +}; + +// Test function for n=5, m=5. +template <typename Tp> +void test028() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data028) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data028[i].n), Tp(data028[i].m), + Tp(data028[i].x)); + const Tp f0 = data028[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=5, m=10. +testcase_assoc_laguerre<double> data029[] = { + { 3003.0000000000000, 5, 10, + 0.0000000000000000 }, + { 19.666666666666668, 5, 10, + 10.000000000000000 }, + { 36.333333333333272, 5, 10, + 20.000000000000000 }, + { -1947.0000000000000, 5, 10, + 30.000000000000000 }, + { -60930.333333333314, 5, 10, + 40.000000000000000 }, + { -381913.66666666651, 5, 10, + 50.000000000000000 }, + { -1419897.0000000000, 5, 10, + 60.000000000000000 }, + { -3979880.3333333330, 5, 10, + 70.000000000000000 }, + { -9316863.6666666642, 5, 10, + 80.000000000000000 }, + { -19235847.000000000, 5, 10, + 90.000000000000000 }, + { -36191830.333333328, 5, 10, + 100.00000000000000 }, +}; + +// Test function for n=5, m=10. +template <typename Tp> +void test029() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data029) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data029[i].n), Tp(data029[i].m), + Tp(data029[i].x)); + const Tp f0 = data029[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=5, m=20. +testcase_assoc_laguerre<double> data030[] = { + { 53130.000000000000, 5, 20, + 0.0000000000000000 }, + { 1213.3333333333335, 5, 20, + 10.000000000000000 }, + { 129.99999999999963, 5, 20, + 20.000000000000000 }, + { -119.99999999999974, 5, 20, + 30.000000000000000 }, + { 463.33333333333320, 5, 20, + 40.000000000000000 }, + { -48120.000000000015, 5, 20, + 50.000000000000000 }, + { -345870.00000000017, 5, 20, + 60.000000000000000 }, + { -1342786.6666666667, 5, 20, + 70.000000000000000 }, + { -3838870.0000000009, 5, 20, + 80.000000000000000 }, + { -9084120.0000000000, 5, 20, + 90.000000000000000 }, + { -18878536.666666668, 5, 20, + 100.00000000000000 }, +}; + +// Test function for n=5, m=20. +template <typename Tp> +void test030() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data030) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data030[i].n), Tp(data030[i].m), + Tp(data030[i].x)); + const Tp f0 = data030[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=5, m=50. +testcase_assoc_laguerre<double> data031[] = { + { 3478761.0000000000, 5, 50, + 0.0000000000000000 }, + { 1154544.3333333335, 5, 50, + 10.000000000000000 }, + { 264661.00000000006, 5, 50, + 20.000000000000000 }, + { 24111.000000000000, 5, 50, + 30.000000000000000 }, + { -2105.6666666666665, 5, 50, + 40.000000000000000 }, + { 1011.0000000000000, 5, 50, + 50.000000000000000 }, + { -1538.9999999999955, 5, 50, + 60.000000000000000 }, + { 5244.3333333333449, 5, 50, + 70.000000000000000 }, + { -13639.000000000015, 5, 50, + 80.000000000000000 }, + { -243189.00000000006, 5, 50, + 90.000000000000000 }, + { -1118405.6666666667, 5, 50, + 100.00000000000000 }, +}; + +// Test function for n=5, m=50. +template <typename Tp> +void test031() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data031) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data031[i].n), Tp(data031[i].m), + Tp(data031[i].x)); + const Tp f0 = data031[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=5, m=100. +testcase_assoc_laguerre<double> data032[] = { + { 96560646.000000000, 5, 100, + 0.0000000000000000 }, + { 57264262.666666649, 5, 100, + 10.000000000000000 }, + { 31841379.333333332, 5, 100, + 20.000000000000000 }, + { 16281996.000000000, 5, 100, + 30.000000000000000 }, + { 7426112.6666666670, 5, 100, + 40.000000000000000 }, + { 2863729.3333333330, 5, 100, + 50.000000000000000 }, + { 834846.00000000000, 5, 100, + 60.000000000000000 }, + { 129462.66666666663, 5, 100, + 70.000000000000000 }, + { -12420.666666666666, 5, 100, + 80.000000000000000 }, + { -804.00000000000000, 5, 100, + 90.000000000000000 }, + { 4312.6666666666661, 5, 100, + 100.00000000000000 }, +}; + +// Test function for n=5, m=100. +template <typename Tp> +void test032() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data032) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data032[i].n), Tp(data032[i].m), + Tp(data032[i].x)); + const Tp f0 = data032[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=10, m=0. +testcase_assoc_laguerre<double> data033[] = { + { 1.0000000000000000, 10, 0, + 0.0000000000000000 }, + { 27.984126984126981, 10, 0, + 10.000000000000000 }, + { 3227.8077601410932, 10, 0, + 20.000000000000000 }, + { 15129.571428571489, 10, 0, + 30.000000000000000 }, + { 79724066.608465582, 10, 0, + 40.000000000000000 }, + { 2037190065.3738980, 10, 0, + 50.000000000000000 }, + { 21804200401.000000, 10, 0, + 60.000000000000000 }, + { 144688291819.51855, 10, 0, + 70.000000000000000 }, + { 703324772760.08276, 10, 0, + 80.000000000000000 }, + { 2741055412243.8569, 10, 0, + 90.000000000000000 }, + { 9051283795429.5723, 10, 0, + 100.00000000000000 }, +}; + +// Test function for n=10, m=0. +template <typename Tp> +void test033() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data033) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data033[i].n), Tp(data033[i].m), + Tp(data033[i].x)); + const Tp f0 = data033[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(5.0000000000000039e-13)); +} + +// Test data for n=10, m=1. +testcase_assoc_laguerre<double> data034[] = { + { 11.000000000000000, 10, 1, + 0.0000000000000000 }, + { 14.791887125220455, 10, 1, + 10.000000000000000 }, + { 2704.6507936507933, 10, 1, + 20.000000000000000 }, + { -182924.71428571426, 10, 1, + 30.000000000000000 }, + { 48066036.749559075, 10, 1, + 40.000000000000000 }, + { 1486264192.2169311, 10, 1, + 50.000000000000000 }, + { 17239562282.428574, 10, 1, + 60.000000000000000 }, + { 119837491630.13579, 10, 1, + 70.000000000000000 }, + { 600681375251.21167, 10, 1, + 80.000000000000000 }, + { 2392908405632.4287, 10, 1, + 90.000000000000000 }, + { 8033035722509.2373, 10, 1, + 100.00000000000000 }, +}; + +// Test function for n=10, m=1. +template <typename Tp> +void test034() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data034) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data034[i].n), Tp(data034[i].m), + Tp(data034[i].x)); + const Tp f0 = data034[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=10, m=2. +testcase_assoc_laguerre<double> data035[] = { + { 66.000000000000000, 10, 2, + 0.0000000000000000 }, + { -14.511463844797174, 10, 2, + 10.000000000000000 }, + { 1064.5890652557318, 10, 2, + 20.000000000000000 }, + { -194569.71428571426, 10, 2, + 30.000000000000000 }, + { 27343569.350970022, 10, 2, + 40.000000000000000 }, + { 1067807661.6790125, 10, 2, + 50.000000000000000 }, + { 13529451580.285713, 10, 2, + 60.000000000000000 }, + { 98812724224.641937, 10, 2, + 70.000000000000000 }, + { 511482736187.34021, 10, 2, + 80.000000000000000 }, + { 2084478393087.4285, 10, 2, + 90.000000000000000 }, + { 7117724862237.0752, 10, 2, + 100.00000000000000 }, +}; + +// Test function for n=10, m=2. +template <typename Tp> +void test035() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data035) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data035[i].n), Tp(data035[i].m), + Tp(data035[i].x)); + const Tp f0 = data035[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=10, m=5. +testcase_assoc_laguerre<double> data036[] = { + { 3003.0000000000000, 10, 5, + 0.0000000000000000 }, + { 11.641975308642024, 10, 5, + 10.000000000000000 }, + { -1137.5643738977069, 10, 5, + 20.000000000000000 }, + { -9254.1428571428605, 10, 5, + 30.000000000000000 }, + { 2121878.8377425023, 10, 5, + 40.000000000000000 }, + { 352060171.43033499, 10, 5, + 50.000000000000000 }, + { 6212028560.1428576, 10, 5, + 60.000000000000000 }, + { 53782171674.604919, 10, 5, + 70.000000000000000 }, + { 309720255837.56775, 10, 5, + 80.000000000000000 }, + { 1359043035731.5713, 10, 5, + 90.000000000000000 }, + { 4900625954398.9434, 10, 5, + 100.00000000000000 }, +}; + +// Test function for n=10, m=5. +template <typename Tp> +void test036() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data036) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data036[i].n), Tp(data036[i].m), + Tp(data036[i].x)); + const Tp f0 = data036[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=10, m=10. +testcase_assoc_laguerre<double> data037[] = { + { 184756.00000000000, 10, 10, + 0.0000000000000000 }, + { -210.84303350970018, 10, 10, + 10.000000000000000 }, + { 508.38095238095184, 10, 10, + 20.000000000000000 }, + { 2098.8571428571431, 10, 10, + 30.000000000000000 }, + { -536338.88536155189, 10, 10, + 40.000000000000000 }, + { 24865988.804232784, 10, 10, + 50.000000000000000 }, + { 1343756013.1428571, 10, 10, + 60.000000000000000 }, + { 17298791247.358025, 10, 10, + 70.000000000000000 }, + { 124528450897.79892, 10, 10, + 80.000000000000000 }, + { 632674413641.71423, 10, 10, + 90.000000000000000 }, + { 2533008935405.0298, 10, 10, + 100.00000000000000 }, +}; + +// Test function for n=10, m=10. +template <typename Tp> +void test037() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data037) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data037[i].n), Tp(data037[i].m), + Tp(data037[i].x)); + const Tp f0 = data037[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=10, m=20. +testcase_assoc_laguerre<double> data038[] = { + { 30045014.999999993, 10, 20, + 0.0000000000000000 }, + { -23087.733686067022, 10, 20, + 10.000000000000000 }, + { 207.23985890652347, 10, 20, + 20.000000000000000 }, + { 1407.8571428571497, 10, 20, + 30.000000000000000 }, + { -44618.156966490329, 10, 20, + 40.000000000000000 }, + { 158690.04409171085, 10, 20, + 50.000000000000000 }, + { -6870413.5714285728, 10, 20, + 60.000000000000000 }, + { 793841351.41975331, 10, 20, + 70.000000000000000 }, + { 13358288958.562618, 10, 20, + 80.000000000000000 }, + { 106073722407.85715, 10, 20, + 90.000000000000000 }, + { 566337213392.42493, 10, 20, + 100.00000000000000 }, +}; + +// Test function for n=10, m=20. +template <typename Tp> +void test038() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data038) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data038[i].n), Tp(data038[i].m), + Tp(data038[i].x)); + const Tp f0 = data038[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(1.0000000000000008e-12)); +} + +// Test data for n=10, m=50. +testcase_assoc_laguerre<double> data039[] = { + { 75394027566.000000, 10, 50, + 0.0000000000000000 }, + { 8048106183.3721361, 10, 50, + 10.000000000000000 }, + { 328045023.84832466, 10, 50, + 20.000000000000000 }, + { -2568769.7142857141, 10, 50, + 30.000000000000000 }, + { 6971.9964726631733, 10, 50, + 40.000000000000000 }, + { 136111.41446208110, 10, 50, + 50.000000000000000 }, + { -62462.571428570242, 10, 50, + 60.000000000000000 }, + { -248167.95061728527, 10, 50, + 70.000000000000000 }, + { 1941270.4091710777, 10, 50, + 80.000000000000000 }, + { -8643512.5714285783, 10, 50, + 90.000000000000000 }, + { -140863522.18342155, 10, 50, + 100.00000000000000 }, +}; + +// Test function for n=10, m=50. +template <typename Tp> +void test039() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data039) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data039[i].n), Tp(data039[i].m), + Tp(data039[i].x)); + const Tp f0 = data039[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(1.0000000000000008e-12)); +} + +// Test data for n=10, m=100. +testcase_assoc_laguerre<double> data040[] = { + { 46897636623981.000, 10, 100, + 0.0000000000000000 }, + { 16444031323272.084, 10, 100, + 10.000000000000000 }, + { 5020343986463.5391, 10, 100, + 20.000000000000000 }, + { 1270977490645.2859, 10, 100, + 30.000000000000000 }, + { 244835756822.62262, 10, 100, + 40.000000000000000 }, + { 29786827693.962963, 10, 100, + 50.000000000000000 }, + { 1127612095.2857144, 10, 100, + 60.000000000000000 }, + { -66370555.419753075, 10, 100, + 70.000000000000000 }, + { 10420852.957671957, 10, 100, + 80.000000000000000 }, + { -3373097.5714285718, 10, 100, + 90.000000000000000 }, + { 2065423.6807760142, 10, 100, + 100.00000000000000 }, +}; + +// Test function for n=10, m=100. +template <typename Tp> +void test040() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data040) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data040[i].n), Tp(data040[i].m), + Tp(data040[i].x)); + const Tp f0 = data040[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=20, m=0. +testcase_assoc_laguerre<double> data041[] = { + { 1.0000000000000000, 20, 0, + 0.0000000000000000 }, + { -11.961333867812119, 20, 0, + 10.000000000000000 }, + { 2829.4728613531738, 20, 0, + 20.000000000000000 }, + { -18439.424502520938, 20, 0, + 30.000000000000000 }, + { 24799805.877530701, 20, 0, + 40.000000000000000 }, + { 7551960453.7672529, 20, 0, + 50.000000000000000 }, + { -1379223608444.9155, 20, 0, + 60.000000000000000 }, + { 165423821874449.94, 20, 0, + 70.000000000000000 }, + { 29500368536981676., 20, 0, + 80.000000000000000 }, + { 1.1292309514432899e+18, 20, 0, + 90.000000000000000 }, + { 2.2061882785931735e+19, 20, 0, + 100.00000000000000 }, +}; + +// Test function for n=20, m=0. +template <typename Tp> +void test041() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data041) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data041[i].n), Tp(data041[i].m), + Tp(data041[i].x)); + const Tp f0 = data041[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=20, m=1. +testcase_assoc_laguerre<double> data042[] = { + { 21.000000000000000, 20, 1, + 0.0000000000000000 }, + { 19.900488129734079, 20, 1, + 10.000000000000000 }, + { 2208.0318569557589, 20, 1, + 20.000000000000000 }, + { 263690.96303121914, 20, 1, + 30.000000000000000 }, + { 40667285.630564235, 20, 1, + 40.000000000000000 }, + { 1737442572.8115418, 20, 1, + 50.000000000000000 }, + { -588280953643.28125, 20, 1, + 60.000000000000000 }, + { 45617733778241.359, 20, 1, + 70.000000000000000 }, + { 17293487114876860., 20, 1, + 80.000000000000000 }, + { 7.6219135858585024e+17, 20, 1, + 90.000000000000000 }, + { 1.6037288204336759e+19, 20, 1, + 100.00000000000000 }, +}; + +// Test function for n=20, m=1. +template <typename Tp> +void test042() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data042) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data042[i].n), Tp(data042[i].m), + Tp(data042[i].x)); + const Tp f0 = data042[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=20, m=2. +testcase_assoc_laguerre<double> data043[] = { + { 231.00000000000003, 20, 2, + 0.0000000000000000 }, + { 47.009338065112935, 20, 2, + 10.000000000000000 }, + { -652.51305461728566, 20, 2, + 20.000000000000000 }, + { 285388.25895069109, 20, 2, + 30.000000000000000 }, + { 28664069.685624726, 20, 2, + 40.000000000000000 }, + { -1399631966.3144732, 20, 2, + 50.000000000000000 }, + { -115357373248.28198, 20, 2, + 60.000000000000000 }, + { -3357730872975.8545, 20, 2, + 70.000000000000000 }, + { 9765808962855122.0, 20, 2, + 80.000000000000000 }, + { 5.0717292945559181e+17, 20, 2, + 90.000000000000000 }, + { 1.1564665701334458e+19, 20, 2, + 100.00000000000000 }, +}; + +// Test function for n=20, m=2. +template <typename Tp> +void test043() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data043) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data043[i].n), Tp(data043[i].m), + Tp(data043[i].x)); + const Tp f0 = data043[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=20, m=5. +testcase_assoc_laguerre<double> data044[] = { + { 53130.000000000000, 20, 5, + 0.0000000000000000 }, + { -158.69554500944145, 20, 5, + 10.000000000000000 }, + { 334.08012288038969, 20, 5, + 20.000000000000000 }, + { -198372.47662554169, 20, 5, + 30.000000000000000 }, + { -13627144.088579427, 20, 5, + 40.000000000000000 }, + { -780579985.44731593, 20, 5, + 50.000000000000000 }, + { 116648634237.73526, 20, 5, + 60.000000000000000 }, + { -12347348707739.742, 20, 5, + 70.000000000000000 }, + { 1199516248034090.8, 20, 5, + 80.000000000000000 }, + { 1.3451503195078531e+17, 20, 5, + 90.000000000000000 }, + { 4.1058904276111483e+18, 20, 5, + 100.00000000000000 }, +}; + +// Test function for n=20, m=5. +template <typename Tp> +void test044() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data044) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data044[i].n), Tp(data044[i].m), + Tp(data044[i].x)); + const Tp f0 = data044[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=20, m=10. +testcase_assoc_laguerre<double> data045[] = { + { 30045015.000000000, 20, 10, + 0.0000000000000000 }, + { -1755.6226861258590, 20, 10, + 10.000000000000000 }, + { -9081.6726644737901, 20, 10, + 20.000000000000000 }, + { 95771.650912113109, 20, 10, + 30.000000000000000 }, + { 5089151.9272779226, 20, 10, + 40.000000000000000 }, + { 97400399.450206712, 20, 10, + 50.000000000000000 }, + { -16009352450.477026, 20, 10, + 60.000000000000000 }, + { 842271286905.01038, 20, 10, + 70.000000000000000 }, + { -79901725466796.938, 20, 10, + 80.000000000000000 }, + { 7944103675858638.0, 20, 10, + 90.000000000000000 }, + { 5.7429821893388288e+17, 20, 10, + 100.00000000000000 }, +}; + +// Test function for n=20, m=10. +template <typename Tp> +void test045() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data045) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data045[i].n), Tp(data045[i].m), + Tp(data045[i].x)); + const Tp f0 = data045[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=20, m=20. +testcase_assoc_laguerre<double> data046[] = { + { 137846528819.99994, 20, 20, + 0.0000000000000000 }, + { -136976.49571333214, 20, 20, + 10.000000000000000 }, + { 113878.49908041637, 20, 20, + 20.000000000000000 }, + { -342529.21778796182, 20, 20, + 30.000000000000000 }, + { -350112.66981443466, 20, 20, + 40.000000000000000 }, + { -10791735.172977794, 20, 20, + 50.000000000000000 }, + { -1038073940.0811402, 20, 20, + 60.000000000000000 }, + { 667312550.63616371, 20, 20, + 70.000000000000000 }, + { 741537869902.29028, 20, 20, + 80.000000000000000 }, + { -32378376755737.418, 20, 20, + 90.000000000000000 }, + { -601760332167934.75, 20, 20, + 100.00000000000000 }, +}; + +// Test function for n=20, m=20. +template <typename Tp> +void test046() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data046) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data046[i].n), Tp(data046[i].m), + Tp(data046[i].x)); + const Tp f0 = data046[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(1.0000000000000008e-12)); +} + +// Test data for n=20, m=50. +testcase_assoc_laguerre<double> data047[] = { + { 1.6188460366265789e+17, 20, 50, + 0.0000000000000000 }, + { 1599011936804291.5, 20, 50, + 10.000000000000000 }, + { -131273880831.42412, 20, 50, + 20.000000000000000 }, + { -3133213093.6903501, 20, 50, + 30.000000000000000 }, + { -213935628.04985175, 20, 50, + 40.000000000000000 }, + { -47375578.495921209, 20, 50, + 50.000000000000000 }, + { -115731015.14034875, 20, 50, + 60.000000000000000 }, + { -737415147.29420292, 20, 50, + 70.000000000000000 }, + { -2123455626.8621781, 20, 50, + 80.000000000000000 }, + { 29801266858.608925, 20, 50, + 90.000000000000000 }, + { -132886631026.82561, 20, 50, + 100.00000000000000 }, +}; + +// Test function for n=20, m=50. +template <typename Tp> +void test047() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data047) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data047[i].n), Tp(data047[i].m), + Tp(data047[i].x)); + const Tp f0 = data047[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(1.0000000000000008e-12)); +} + +// Test data for n=20, m=100. +testcase_assoc_laguerre<double> data048[] = { + { 2.9462227291176643e+22, 20, 100, + 0.0000000000000000 }, + { 3.5777890748701244e+21, 20, 100, + 10.000000000000000 }, + { 3.1584925521456765e+20, 20, 100, + 20.000000000000000 }, + { 1.7389599388424860e+19, 20, 100, + 30.000000000000000 }, + { 4.1401342745980646e+17, 20, 100, + 40.000000000000000 }, + { -79359706102062.672, 20, 100, + 50.000000000000000 }, + { 22736203650743.145, 20, 100, + 60.000000000000000 }, + { 65679006380.095215, 20, 100, + 70.000000000000000 }, + { -236263257610.77969, 20, 100, + 80.000000000000000 }, + { -38072644585.303085, 20, 100, + 90.000000000000000 }, + { 68236474365.173950, 20, 100, + 100.00000000000000 }, +}; + +// Test function for n=20, m=100. +template <typename Tp> +void test048() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data048) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data048[i].n), Tp(data048[i].m), + Tp(data048[i].x)); + const Tp f0 = data048[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000015e-12)); +} + +// Test data for n=50, m=0. +testcase_assoc_laguerre<double> data049[] = { + { 1.0000000000000000, 50, 0, + 0.0000000000000000 }, + { 17.534183446338233, 50, 0, + 10.000000000000000 }, + { 980.26961889790766, 50, 0, + 20.000000000000000 }, + { 293000.50735962350, 50, 0, + 30.000000000000000 }, + { -14896937.968694847, 50, 0, + 40.000000000000000 }, + { 2513677852.6916885, 50, 0, + 50.000000000000000 }, + { -883876565337.99207, 50, 0, + 60.000000000000000 }, + { -80967880733583.219, 50, 0, + 70.000000000000000 }, + { -8217471769564850.0, 50, 0, + 80.000000000000000 }, + { -2.1140031308048906e+18, 50, 0, + 90.000000000000000 }, + { -3.9710103487094673e+20, 50, 0, + 100.00000000000000 }, +}; + +// Test function for n=50, m=0. +template <typename Tp> +void test049() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data049) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data049[i].n), Tp(data049[i].m), + Tp(data049[i].x)); + const Tp f0 = data049[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=50, m=1. +testcase_assoc_laguerre<double> data050[] = { + { 51.000000000000021, 50, 1, + 0.0000000000000000 }, + { 1.4214573271640045, 50, 1, + 10.000000000000000 }, + { -2574.8072295127863, 50, 1, + 20.000000000000000 }, + { 35846.479728359256, 50, 1, + 30.000000000000000 }, + { -48263698.768318526, 50, 1, + 40.000000000000000 }, + { 6161525870.2738571, 50, 1, + 50.000000000000000 }, + { -382655486658.47101, 50, 1, + 60.000000000000000 }, + { -109635579833241.69, 50, 1, + 70.000000000000000 }, + { -14623805817283476., 50, 1, + 80.000000000000000 }, + { -2.0666847190878118e+18, 50, 1, + 90.000000000000000 }, + { -1.4385187953997626e+20, 50, 1, + 100.00000000000000 }, +}; + +// Test function for n=50, m=1. +template <typename Tp> +void test050() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data050) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data050[i].n), Tp(data050[i].m), + Tp(data050[i].x)); + const Tp f0 = data050[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(5.0000000000000029e-12)); +} + +// Test data for n=50, m=2. +testcase_assoc_laguerre<double> data051[] = { + { 1326.0000000000000, 50, 2, + 0.0000000000000000 }, + { -87.860732516444671, 50, 2, + 10.000000000000000 }, + { -5203.2351191780890, 50, 2, + 20.000000000000000 }, + { -461059.50012538873, 50, 2, + 30.000000000000000 }, + { -30476695.327440601, 50, 2, + 40.000000000000000 }, + { 3720804977.9338136, 50, 2, + 50.000000000000000 }, + { 362262002434.51440, 50, 2, + 60.000000000000000 }, + { -52210917867820.273, 50, 2, + 70.000000000000000 }, + { -9567965136901918.0, 50, 2, + 80.000000000000000 }, + { -8.9171277517712806e+17, 50, 2, + 90.000000000000000 }, + { 5.7231129448807039e+19, 50, 2, + 100.00000000000000 }, +}; + +// Test function for n=50, m=2. +template <typename Tp> +void test051() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data051) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data051[i].n), Tp(data051[i].m), + Tp(data051[i].x)); + const Tp f0 = data051[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=50, m=5. +testcase_assoc_laguerre<double> data052[] = { + { 3478761.0000000000, 50, 5, + 0.0000000000000000 }, + { 1055.8381917651493, 50, 5, + 10.000000000000000 }, + { 15264.646660345048, 50, 5, + 20.000000000000000 }, + { 1229651.8966600855, 50, 5, + 30.000000000000000 }, + { 39270451.823656857, 50, 5, + 40.000000000000000 }, + { -4424062601.1152067, 50, 5, + 50.000000000000000 }, + { -186017434284.19220, 50, 5, + 60.000000000000000 }, + { 50972853949302.602, 50, 5, + 70.000000000000000 }, + { 6530702754012518.0, 50, 5, + 80.000000000000000 }, + { 6.8387592714678016e+17, 50, 5, + 90.000000000000000 }, + { 3.9198742504338366e+19, 50, 5, + 100.00000000000000 }, +}; + +// Test function for n=50, m=5. +template <typename Tp> +void test052() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data052) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data052[i].n), Tp(data052[i].m), + Tp(data052[i].x)); + const Tp f0 = data052[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=50, m=10. +testcase_assoc_laguerre<double> data053[] = { + { 75394027565.999985, 50, 10, + 0.0000000000000000 }, + { 91833.924098770134, 50, 10, + 10.000000000000000 }, + { 330501.87929778261, 50, 10, + 20.000000000000000 }, + { 3625088.1635972545, 50, 10, + 30.000000000000000 }, + { 213954727.28632003, 50, 10, + 40.000000000000000 }, + { -9381006937.7517643, 50, 10, + 50.000000000000000 }, + { 535333683777.48627, 50, 10, + 60.000000000000000 }, + { 18824406573722.156, 50, 10, + 70.000000000000000 }, + { -533858276780012.81, 50, 10, + 80.000000000000000 }, + { -52995774666704024., 50, 10, + 90.000000000000000 }, + { 6.0504182862448855e+18, 50, 10, + 100.00000000000000 }, +}; + +// Test function for n=50, m=10. +template <typename Tp> +void test053() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data053) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data053[i].n), Tp(data053[i].m), + Tp(data053[i].x)); + const Tp f0 = data053[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=50, m=20. +testcase_assoc_laguerre<double> data054[] = { + { 1.6188460366265779e+17, 50, 20, + 0.0000000000000000 }, + { -307637087.25169420, 50, 20, + 10.000000000000000 }, + { 12524651.102974579, 50, 20, + 20.000000000000000 }, + { -315460483.86210549, 50, 20, + 30.000000000000000 }, + { -1889683587.3459976, 50, 20, + 40.000000000000000 }, + { 37457044404.200340, 50, 20, + 50.000000000000000 }, + { -843831858224.71826, 50, 20, + 60.000000000000000 }, + { -92231643172.313248, 50, 20, + 70.000000000000000 }, + { 904211757769501.25, 50, 20, + 80.000000000000000 }, + { 46508193600283288., 50, 20, + 90.000000000000000 }, + { 2.3216887928162714e+18, 50, 20, + 100.00000000000000 }, +}; + +// Test function for n=50, m=20. +template <typename Tp> +void test054() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data054) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data054[i].n), Tp(data054[i].m), + Tp(data054[i].x)); + const Tp f0 = data054[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000015e-12)); +} + +// Test data for n=50, m=50. +testcase_assoc_laguerre<double> data055[] = { + { 1.0089134454556417e+29, 50, 50, + 0.0000000000000000 }, + { 1.3822795753070569e+23, 50, 50, + 10.000000000000000 }, + { 95817260381628416., 50, 50, + 20.000000000000000 }, + { -910798580856013.88, 50, 50, + 30.000000000000000 }, + { 50513254049166.719, 50, 50, + 40.000000000000000 }, + { 84159703903349.859, 50, 50, + 50.000000000000000 }, + { -138805244691822.69, 50, 50, + 60.000000000000000 }, + { 181046391269246.25, 50, 50, + 70.000000000000000 }, + { 2086884905317107.2, 50, 50, + 80.000000000000000 }, + { -2765620139862432.5, 50, 50, + 90.000000000000000 }, + { -1.3706751678146291e+17, 50, 50, + 100.00000000000000 }, +}; + +// Test function for n=50, m=50. +template <typename Tp> +void test055() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data055) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data055[i].n), Tp(data055[i].m), + Tp(data055[i].x)); + const Tp f0 = data055[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(5.0000000000000039e-13)); +} + +// Test data for n=50, m=100. +testcase_assoc_laguerre<double> data056[] = { + { 2.0128660909731929e+40, 50, 100, + 0.0000000000000000 }, + { 9.3675094807695474e+37, 50, 100, + 10.000000000000000 }, + { 1.3009321481877196e+35, 50, 100, + 20.000000000000000 }, + { 7.3720026893233823e+30, 50, 100, + 30.000000000000000 }, + { -6.0824679079634607e+25, 50, 100, + 40.000000000000000 }, + { -6.0053188793543624e+23, 50, 100, + 50.000000000000000 }, + { 1.4178129287264701e+22, 50, 100, + 60.000000000000000 }, + { -5.4652099341566765e+20, 50, 100, + 70.000000000000000 }, + { -1.0817271759263398e+20, 50, 100, + 80.000000000000000 }, + { 3.8058734007924187e+19, 50, 100, + 90.000000000000000 }, + { 4.7439240848028353e+19, 50, 100, + 100.00000000000000 }, +}; + +// Test function for n=50, m=100. +template <typename Tp> +void test056() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data056) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data056[i].n), Tp(data056[i].m), + Tp(data056[i].x)); + const Tp f0 = data056[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000015e-12)); +} + +// Test data for n=100, m=0. +testcase_assoc_laguerre<double> data057[] = { + { 1.0000000000000000, 100, 0, + 0.0000000000000000 }, + { 13.277662844303402, 100, 0, + 10.000000000000000 }, + { 1854.0367283243393, 100, 0, + 20.000000000000000 }, + { 170141.86987046539, 100, 0, + 30.000000000000000 }, + { -7272442.3156007063, 100, 0, + 40.000000000000000 }, + { 4847420871.2690468, 100, 0, + 50.000000000000000 }, + { 693492765740.29736, 100, 0, + 60.000000000000000 }, + { 17125518672239.707, 100, 0, + 70.000000000000000 }, + { -13763178176383754., 100, 0, + 80.000000000000000 }, + { 2.1307220490380198e+18, 100, 0, + 90.000000000000000 }, + { -2.6292260693068920e+20, 100, 0, + 100.00000000000000 }, +}; + +// Test function for n=100, m=0. +template <typename Tp> +void test057() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data057) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data057[i].n), Tp(data057[i].m), + Tp(data057[i].x)); + const Tp f0 = data057[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=100, m=1. +testcase_assoc_laguerre<double> data058[] = { + { 101.00000000000003, 100, 1, + 0.0000000000000000 }, + { -14.650661983680466, 100, 1, + 10.000000000000000 }, + { 1626.5010939361609, 100, 1, + 20.000000000000000 }, + { 417884.77658268705, 100, 1, + 30.000000000000000 }, + { -55617646.951649830, 100, 1, + 40.000000000000000 }, + { 884829874.26626098, 100, 1, + 50.000000000000000 }, + { 154466082750.32114, 100, 1, + 60.000000000000000 }, + { -101423973484646.05, 100, 1, + 70.000000000000000 }, + { -1388352348671755.5, 100, 1, + 80.000000000000000 }, + { 7.8048705513268326e+17, 100, 1, + 90.000000000000000 }, + { 1.6948925059042787e+19, 100, 1, + 100.00000000000000 }, +}; + +// Test function for n=100, m=1. +template <typename Tp> +void test058() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data058) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data058[i].n), Tp(data058[i].m), + Tp(data058[i].x)); + const Tp f0 = data058[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(1.0000000000000008e-12)); +} + +// Test data for n=100, m=2. +testcase_assoc_laguerre<double> data059[] = { + { 5151.0000000000055, 100, 2, + 0.0000000000000000 }, + { -150.22012290951341, 100, 2, + 10.000000000000000 }, + { -7655.0593294049440, 100, 2, + 20.000000000000000 }, + { -140996.69276179170, 100, 2, + 30.000000000000000 }, + { -38645171.278549291, 100, 2, + 40.000000000000000 }, + { -8889263688.2118778, 100, 2, + 50.000000000000000 }, + { -1010338971533.3397, 100, 2, + 60.000000000000000 }, + { -127582564332943.91, 100, 2, + 70.000000000000000 }, + { 15970305694654336., 100, 2, + 80.000000000000000 }, + { -1.6019844992862840e+18, 100, 2, + 90.000000000000000 }, + { 2.8267024730962919e+20, 100, 2, + 100.00000000000000 }, +}; + +// Test function for n=100, m=2. +template <typename Tp> +void test059() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data059) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data059[i].n), Tp(data059[i].m), + Tp(data059[i].x)); + const Tp f0 = data059[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=100, m=5. +testcase_assoc_laguerre<double> data060[] = { + { 96560646.000000030, 100, 5, + 0.0000000000000000 }, + { 2430.6732236677576, 100, 5, + 10.000000000000000 }, + { 111162.32026994640, 100, 5, + 20.000000000000000 }, + { 4036708.2599413753, 100, 5, + 30.000000000000000 }, + { -34055982.664405435, 100, 5, + 40.000000000000000 }, + { 30110688343.562344, 100, 5, + 50.000000000000000 }, + { 2651429940558.2920, 100, 5, + 60.000000000000000 }, + { 192108556058942.84, 100, 5, + 70.000000000000000 }, + { -25410533973455528., 100, 5, + 80.000000000000000 }, + { 2.1072955633564431e+18, 100, 5, + 90.000000000000000 }, + { -2.9434005355877260e+20, 100, 5, + 100.00000000000000 }, +}; + +// Test function for n=100, m=5. +template <typename Tp> +void test060() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data060) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data060[i].n), Tp(data060[i].m), + Tp(data060[i].x)); + const Tp f0 = data060[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(5.0000000000000039e-13)); +} + +// Test data for n=100, m=10. +testcase_assoc_laguerre<double> data061[] = { + { 46897636623981.039, 100, 10, + 0.0000000000000000 }, + { 529208.11550990446, 100, 10, + 10.000000000000000 }, + { 7402892.1748803742, 100, 10, + 20.000000000000000 }, + { 88369632.083243459, 100, 10, + 30.000000000000000 }, + { 822187797.59096730, 100, 10, + 40.000000000000000 }, + { 180231446033.06866, 100, 10, + 50.000000000000000 }, + { 7922942703798.1309, 100, 10, + 60.000000000000000 }, + { 784424250559043.38, 100, 10, + 70.000000000000000 }, + { -16325634720239362., 100, 10, + 80.000000000000000 }, + { -1.0879588307443181e+18, 100, 10, + 90.000000000000000 }, + { 3.0114394463610495e+19, 100, 10, + 100.00000000000000 }, +}; + +// Test function for n=100, m=10. +template <typename Tp> +void test061() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data061) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data061[i].n), Tp(data061[i].m), + Tp(data061[i].x)); + const Tp f0 = data061[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(1.0000000000000008e-12)); +} + +// Test data for n=100, m=20. +testcase_assoc_laguerre<double> data062[] = { + { 2.9462227291176614e+22, 100, 20, + 0.0000000000000000 }, + { 313694958939.90436, 100, 20, + 10.000000000000000 }, + { 45396489338.096252, 100, 20, + 20.000000000000000 }, + { -7215826758.0078783, 100, 20, + 30.000000000000000 }, + { 825949194005.88831, 100, 20, + 40.000000000000000 }, + { -2764742119971.0747, 100, 20, + 50.000000000000000 }, + { -219802198273516.03, 100, 20, + 60.000000000000000 }, + { -1699053306145266.0, 100, 20, + 70.000000000000000 }, + { 3.5495709345023853e+17, 100, 20, + 80.000000000000000 }, + { -9.6128675110292439e+18, 100, 20, + 90.000000000000000 }, + { 4.3619868422072153e+20, 100, 20, + 100.00000000000000 }, +}; + +// Test function for n=100, m=20. +template <typename Tp> +void test062() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data062) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data062[i].n), Tp(data062[i].m), + Tp(data062[i].x)); + const Tp f0 = data062[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000020e-13)); +} + +// Test data for n=100, m=50. +testcase_assoc_laguerre<double> data063[] = { + { 2.0128660909731931e+40, 100, 50, + 0.0000000000000000 }, + { -4.0151443913473681e+28, 100, 50, + 10.000000000000000 }, + { 3.2199632594552201e+22, 100, 50, + 20.000000000000000 }, + { -2.7568702092659717e+20, 100, 50, + 30.000000000000000 }, + { 7.5553066015421530e+19, 100, 50, + 40.000000000000000 }, + { -2.7651625252388041e+19, 100, 50, + 50.000000000000000 }, + { -5.8963680147283821e+19, 100, 50, + 60.000000000000000 }, + { -1.8082798163033126e+20, 100, 50, + 70.000000000000000 }, + { -3.9044276986817249e+20, 100, 50, + 80.000000000000000 }, + { 6.9926310700401904e+21, 100, 50, + 90.000000000000000 }, + { -5.5727272809923697e+22, 100, 50, + 100.00000000000000 }, +}; + +// Test function for n=100, m=50. +template <typename Tp> +void test063() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data063) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data063[i].n), Tp(data063[i].m), + Tp(data063[i].x)); + const Tp f0 = data063[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(1.0000000000000008e-12)); +} + +// Test data for n=100, m=100. +testcase_assoc_laguerre<double> data064[] = { + { 9.0548514656103225e+58, 100, 100, + 0.0000000000000000 }, + { 1.3334078033060576e+54, 100, 100, + 10.000000000000000 }, + { 2.1002639254211231e+46, 100, 100, + 20.000000000000000 }, + { -1.1073158068796240e+39, 100, 100, + 30.000000000000000 }, + { -8.3640937363981405e+35, 100, 100, + 40.000000000000000 }, + { -6.5879339429312671e+32, 100, 100, + 50.000000000000000 }, + { -2.4190645077698453e+30, 100, 100, + 60.000000000000000 }, + { -7.9224960465662002e+29, 100, 100, + 70.000000000000000 }, + { -2.8605772478408853e+29, 100, 100, + 80.000000000000000 }, + { 2.4149589189610125e+28, 100, 100, + 90.000000000000000 }, + { 5.1146476014859003e+28, 100, 100, + 100.00000000000000 }, +}; + +// Test function for n=100, m=100. +template <typename Tp> +void test064() +{ + const Tp eps = std::numeric_limits<Tp>::epsilon(); + Tp max_abs_diff = -Tp(1); + Tp max_abs_frac = -Tp(1); + unsigned int num_datum = sizeof(data064) + / sizeof(testcase_assoc_laguerre<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::assoc_laguerre(Tp(data064[i].n), Tp(data064[i].m), + Tp(data064[i].x)); + const Tp f0 = data064[i].f0; + const Tp diff = f - f0; + if (std::abs(diff) > max_abs_diff) + max_abs_diff = std::abs(diff); + if (std::abs(f0) > Tp(10) * eps + && std::abs(f) > Tp(10) * eps) + { + const Tp frac = diff / f0; + if (std::abs(frac) > max_abs_frac) + max_abs_frac = std::abs(frac); + } + } + VERIFY(max_abs_frac < Tp(2.5000000000000015e-12)); +} + +int main(int, char**) +{ + test001<double>(); + test002<double>(); + test003<double>(); + test004<double>(); + test005<double>(); + test006<double>(); + test007<double>(); + test008<double>(); + test009<double>(); + test010<double>(); + test011<double>(); + test012<double>(); + test013<double>(); + test014<double>(); + test015<double>(); + test016<double>(); + test017<double>(); + test018<double>(); + test019<double>(); + test020<double>(); + test021<double>(); + test022<double>(); + test023<double>(); + test024<double>(); + test025<double>(); + test026<double>(); + test027<double>(); + test028<double>(); + test029<double>(); + test030<double>(); + test031<double>(); + test032<double>(); + test033<double>(); + test034<double>(); + test035<double>(); + test036<double>(); + test037<double>(); + test038<double>(); + test039<double>(); + test040<double>(); + test041<double>(); + test042<double>(); + test043<double>(); + test044<double>(); + test045<double>(); + test046<double>(); + test047<double>(); + test048<double>(); + test049<double>(); + test050<double>(); + test051<double>(); + test052<double>(); + test053<double>(); + test054<double>(); + test055<double>(); + test056<double>(); + test057<double>(); + test058<double>(); + test059<double>(); + test060<double>(); + test061<double>(); + test062<double>(); + test063<double>(); + test064<double>(); + return 0; +} diff --git a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/compile.cc b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/compile.cc new file mode 100644 index 000000000..4725126da --- /dev/null +++ b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/compile.cc @@ -0,0 +1,41 @@ +// { dg-do compile } + +// 2006-02-04 Edward Smith-Rowland <3dw4rd@verizon.net> +// +// Copyright (C) 2006, 2007, 2009 Free Software Foundation, Inc. +// +// This file is part of the GNU ISO C++ Library. This library is free +// software; you can redistribute it and/or modify it under the +// terms of the GNU General Public License as published by the +// Free Software Foundation; either version 3, or (at your option) +// any later version. +// +// This library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU General Public License along +// with this library; see the file COPYING3. If not see +// <http://www.gnu.org/licenses/>. + +// 5.2.1.1 assoc_laguerre + +#include <tr1/cmath> + +void +test01() +{ + float xf = 0.5F; + double xd = 0.5; + long double xl = 0.5L; + unsigned int n = 2, m = 1; + + std::tr1::assoc_laguerre(n, m, xf); + std::tr1::assoc_laguerref(n, m, xf); + std::tr1::assoc_laguerre(n, m, xd); + std::tr1::assoc_laguerre(n, m, xl); + std::tr1::assoc_laguerrel(n, m, xl); + + return; +} diff --git a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/compile_2.cc b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/compile_2.cc new file mode 100644 index 000000000..eabad0587 --- /dev/null +++ b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/01_assoc_laguerre/compile_2.cc @@ -0,0 +1,43 @@ +// { dg-do compile } + +// 2006-02-04 Edward Smith-Rowland <3dw4rd@verizon.net> +// +// Copyright (C) 2006-2007, 2009 Free Software Foundation, Inc. +// +// This file is part of the GNU ISO C++ Library. This library is free +// software; you can redistribute it and/or modify it under the +// terms of the GNU General Public License as published by the +// Free Software Foundation; either version 3, or (at your option) +// any later version. +// +// This library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU General Public License along +// with this library; see the file COPYING3. If not see +// <http://www.gnu.org/licenses/>. + +// 5.2.1.1 assoc_laguerre + +#include <tr1/math.h> + +void +test01() +{ + + float xf = 0.5F; + double xd = 0.5; + long double xl = 0.5L; + unsigned int n = 2, m = 1; + + assoc_laguerre(n, m, xf); + assoc_laguerref(n, m, xf); + assoc_laguerre(n, m, xd); + assoc_laguerre(n, m, xl); + assoc_laguerrel(n, m, xl); + + return; +} + |