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Diffstat (limited to 'libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2')
4 files changed, 1012 insertions, 0 deletions
diff --git a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_nan.cc b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_nan.cc new file mode 100644 index 000000000..e5e7bbab5 --- /dev/null +++ b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_nan.cc @@ -0,0 +1,87 @@ +// { dg-require-c-std "" } +// { dg-add-options ieee } + +// 2007-01-10 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/>. + +// 5.2.1.13 ellint_2 + +#include <tr1/cmath> +#include <testsuite_hooks.h> + +void +test01() +{ + float kf = std::numeric_limits<float>::quiet_NaN(); + double kd = std::numeric_limits<double>::quiet_NaN(); + long double kl = std::numeric_limits<long double>::quiet_NaN(); + + float phif = std::atan2(1.0F, 1.0F); + double phid = std::atan2(1.0, 1.0); + long double phil = std::atan2(1.0L, 1.0L); + + float a = std::tr1::ellint_2(kf, phif); + float b = std::tr1::ellint_2f(kf, phif); + double c = std::tr1::ellint_2(kd, phid); + long double d = std::tr1::ellint_2(kl, phil); + long double e = std::tr1::ellint_2l(kl, phil); + + 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; +} + +void +test02() +{ + float kf = 0.5F; + double kd = 0.5; + long double kl = 0.5L; + + float phif = std::numeric_limits<float>::quiet_NaN(); + double phid = std::numeric_limits<double>::quiet_NaN(); + long double phil = std::numeric_limits<long double>::quiet_NaN(); + + float a = std::tr1::ellint_2(kf, phif); + float b = std::tr1::ellint_2f(kf, phif); + double c = std::tr1::ellint_2(kd, phid); + long double d = std::tr1::ellint_2(kl, phil); + long double e = std::tr1::ellint_2l(kl, phil); + + 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(); + test02(); + return 0; +} + diff --git a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_value.cc b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_value.cc new file mode 100644 index 000000000..baca5ed85 --- /dev/null +++ b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_value.cc @@ -0,0 +1,843 @@ +// 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/>. + +// ellint_2 + + +// 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 k=-0.90000000000000002. +testcase_ellint_2<double> data001[] = { + { -0.0000000000000000, -0.90000000000000002, 0.0000000000000000 }, + { 0.17381690606167963, -0.90000000000000002, 0.17453292519943295 }, + { 0.34337919186972055, -0.90000000000000002, 0.34906585039886590 }, + { 0.50464268659856337, -0.90000000000000002, 0.52359877559829882 }, + { 0.65400003842368593, -0.90000000000000002, 0.69813170079773179 }, + { 0.78854928419904657, -0.90000000000000002, 0.87266462599716477 }, + { 0.90645698626315407, -0.90000000000000002, 1.0471975511965976 }, + { 1.0075154899135925, -0.90000000000000002, 1.2217304763960306 }, + { 1.0940135583194071, -0.90000000000000002, 1.3962634015954636 }, + { 1.1716970527816140, -0.90000000000000002, 1.5707963267948966 }, +}; + +// Test function for k=-0.90000000000000002. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data001[i].k), Tp(data001[i].phi)); + 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(5.0000000000000029e-12)); +} + +// Test data for k=-0.80000000000000004. +testcase_ellint_2<double> data002[] = { + { -0.0000000000000000, -0.80000000000000004, 0.0000000000000000 }, + { 0.17396762274534808, -0.80000000000000004, 0.17453292519943295 }, + { 0.34458685226969316, -0.80000000000000004, 0.34906585039886590 }, + { 0.50872923654502444, -0.80000000000000004, 0.52359877559829882 }, + { 0.66372016539176237, -0.80000000000000004, 0.69813170079773179 }, + { 0.80760344410167406, -0.80000000000000004, 0.87266462599716477 }, + { 0.93945480372495072, -0.80000000000000004, 1.0471975511965976 }, + { 1.0597473310395036, -0.80000000000000004, 1.2217304763960306 }, + { 1.1706981862452361, -0.80000000000000004, 1.3962634015954636 }, + { 1.2763499431699066, -0.80000000000000004, 1.5707963267948966 }, +}; + +// Test function for k=-0.80000000000000004. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data002[i].k), Tp(data002[i].phi)); + 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(1.0000000000000008e-12)); +} + +// Test data for k=-0.69999999999999996. +testcase_ellint_2<double> data003[] = { + { -0.0000000000000000, -0.69999999999999996, 0.0000000000000000 }, + { 0.17410041242702540, -0.69999999999999996, 0.17453292519943295 }, + { 0.34564605085764760, -0.69999999999999996, 0.34906585039886590 }, + { 0.51228495693314657, -0.69999999999999996, 0.52359877559829882 }, + { 0.67207654098799530, -0.69999999999999996, 0.69813170079773179 }, + { 0.82370932631556515, -0.69999999999999996, 0.87266462599716477 }, + { 0.96672313309452795, -0.69999999999999996, 1.0471975511965976 }, + { 1.1017090644949503, -0.69999999999999996, 1.2217304763960306 }, + { 1.2304180097292916, -0.69999999999999996, 1.3962634015954636 }, + { 1.3556611355719557, -0.69999999999999996, 1.5707963267948966 }, +}; + +// Test function for k=-0.69999999999999996. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data003[i].k), Tp(data003[i].phi)); + 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(5.0000000000000039e-13)); +} + +// Test data for k=-0.59999999999999998. +testcase_ellint_2<double> data004[] = { + { -0.0000000000000000, -0.59999999999999998, 0.0000000000000000 }, + { 0.17421534919599130, -0.59999999999999998, 0.17453292519943295 }, + { 0.34655927787174101, -0.59999999999999998, 0.34906585039886590 }, + { 0.51533034538432165, -0.59999999999999998, 0.52359877559829882 }, + { 0.67916550597453029, -0.59999999999999998, 0.69813170079773179 }, + { 0.83720218180349870, -0.59999999999999998, 0.87266462599716477 }, + { 0.98922159354937755, -0.59999999999999998, 1.0471975511965976 }, + { 1.1357478470419360, -0.59999999999999998, 1.2217304763960306 }, + { 1.2780617372844056, -0.59999999999999998, 1.3962634015954636 }, + { 1.4180833944487243, -0.59999999999999998, 1.5707963267948966 }, +}; + +// Test function for k=-0.59999999999999998. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data004[i].k), Tp(data004[i].phi)); + 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(5.0000000000000039e-13)); +} + +// Test data for k=-0.50000000000000000. +testcase_ellint_2<double> data005[] = { + { -0.0000000000000000, -0.50000000000000000, 0.0000000000000000 }, + { 0.17431249677315910, -0.50000000000000000, 0.17453292519943295 }, + { 0.34732862537770803, -0.50000000000000000, 0.34906585039886590 }, + { 0.51788193485993805, -0.50000000000000000, 0.52359877559829882 }, + { 0.68506022954164536, -0.50000000000000000, 0.69813170079773179 }, + { 0.84831662803347196, -0.50000000000000000, 0.87266462599716477 }, + { 1.0075555551444717, -0.50000000000000000, 1.0471975511965976 }, + { 1.1631768599287302, -0.50000000000000000, 1.2217304763960306 }, + { 1.3160584048772543, -0.50000000000000000, 1.3962634015954636 }, + { 1.4674622093394274, -0.50000000000000000, 1.5707963267948966 }, +}; + +// Test function for k=-0.50000000000000000. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data005[i].k), Tp(data005[i].phi)); + 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 k=-0.40000000000000002. +testcase_ellint_2<double> data006[] = { + { -0.0000000000000000, -0.40000000000000002, 0.0000000000000000 }, + { 0.17439190872481269, -0.40000000000000002, 0.17453292519943295 }, + { 0.34795581767099210, -0.40000000000000002, 0.34906585039886590 }, + { 0.51995290683804474, -0.40000000000000002, 0.52359877559829882 }, + { 0.68981638464431549, -0.40000000000000002, 0.69813170079773179 }, + { 0.85722088859936041, -0.40000000000000002, 0.87266462599716477 }, + { 1.0221301327876993, -0.40000000000000002, 1.0471975511965976 }, + { 1.1848138019818371, -0.40000000000000002, 1.2217304763960306 }, + { 1.3458259266501531, -0.40000000000000002, 1.3962634015954636 }, + { 1.5059416123600402, -0.40000000000000002, 1.5707963267948966 }, +}; + +// Test function for k=-0.40000000000000002. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data006[i].k), Tp(data006[i].phi)); + 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 k=-0.30000000000000004. +testcase_ellint_2<double> data007[] = { + { -0.0000000000000000, -0.30000000000000004, 0.0000000000000000 }, + { 0.17445362864048916, -0.30000000000000004, 0.17453292519943295 }, + { 0.34844223535713464, -0.30000000000000004, 0.34906585039886590 }, + { 0.52155353877411770, -0.30000000000000004, 0.52359877559829882 }, + { 0.69347584418369879, -0.30000000000000004, 0.69813170079773179 }, + { 0.86403609928237668, -0.30000000000000004, 0.87266462599716477 }, + { 1.0332234514065410, -0.30000000000000004, 1.0471975511965976 }, + { 1.2011943182068923, -0.30000000000000004, 1.2217304763960306 }, + { 1.3682566113689620, -0.30000000000000004, 1.3962634015954636 }, + { 1.5348334649232489, -0.30000000000000004, 1.5707963267948966 }, +}; + +// Test function for k=-0.30000000000000004. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data007[i].k), Tp(data007[i].phi)); + 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 k=-0.19999999999999996. +testcase_ellint_2<double> data008[] = { + { -0.0000000000000000, -0.19999999999999996, 0.0000000000000000 }, + { 0.17449769027652814, -0.19999999999999996, 0.17453292519943295 }, + { 0.34878893400762095, -0.19999999999999996, 0.34906585039886590 }, + { 0.52269152856057410, -0.19999999999999996, 0.52359877559829882 }, + { 0.69606913360157596, -0.19999999999999996, 0.69813170079773179 }, + { 0.86884782374863356, -0.19999999999999996, 0.87266462599716477 }, + { 1.0410255369689567, -0.19999999999999996, 1.0471975511965976 }, + { 1.2126730391631360, -0.19999999999999996, 1.2217304763960306 }, + { 1.3839259540325153, -0.19999999999999996, 1.3962634015954636 }, + { 1.5549685462425296, -0.19999999999999996, 1.5707963267948966 }, +}; + +// Test function for k=-0.19999999999999996. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data008[i].k), Tp(data008[i].phi)); + 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 k=-0.099999999999999978. +testcase_ellint_2<double> data009[] = { + { -0.0000000000000000, -0.099999999999999978, 0.0000000000000000 }, + { 0.17452411766649945, -0.099999999999999978, 0.17453292519943295 }, + { 0.34899665805442398, -0.099999999999999978, 0.34906585039886590 }, + { 0.52337222400508787, -0.099999999999999978, 0.52359877559829882 }, + { 0.69761705217284875, -0.099999999999999978, 0.69813170079773179 }, + { 0.87171309273007491, -0.099999999999999978, 0.87266462599716477 }, + { 1.0456602197056328, -0.099999999999999978, 1.0471975511965976 }, + { 1.2194762899272025, -0.099999999999999978, 1.2217304763960306 }, + { 1.3931950229892744, -0.099999999999999978, 1.3962634015954636 }, + { 1.5668619420216685, -0.099999999999999978, 1.5707963267948966 }, +}; + +// Test function for k=-0.099999999999999978. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data009[i].k), Tp(data009[i].phi)); + 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 k=0.0000000000000000. +testcase_ellint_2<double> data010[] = { + { -0.0000000000000000, 0.0000000000000000, 0.0000000000000000 }, + { 0.17453292519943295, 0.0000000000000000, 0.17453292519943295 }, + { 0.34906585039886584, 0.0000000000000000, 0.34906585039886590 }, + { 0.52359877559829882, 0.0000000000000000, 0.52359877559829882 }, + { 0.69813170079773179, 0.0000000000000000, 0.69813170079773179 }, + { 0.87266462599716477, 0.0000000000000000, 0.87266462599716477 }, + { 1.0471975511965976, 0.0000000000000000, 1.0471975511965976 }, + { 1.2217304763960304, 0.0000000000000000, 1.2217304763960306 }, + { 1.3962634015954631, 0.0000000000000000, 1.3962634015954636 }, + { 1.5707963267948966, 0.0000000000000000, 1.5707963267948966 }, +}; + +// Test function for k=0.0000000000000000. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data010[i].k), Tp(data010[i].phi)); + 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 k=0.10000000000000009. +testcase_ellint_2<double> data011[] = { + { -0.0000000000000000, 0.10000000000000009, 0.0000000000000000 }, + { 0.17452411766649945, 0.10000000000000009, 0.17453292519943295 }, + { 0.34899665805442398, 0.10000000000000009, 0.34906585039886590 }, + { 0.52337222400508787, 0.10000000000000009, 0.52359877559829882 }, + { 0.69761705217284875, 0.10000000000000009, 0.69813170079773179 }, + { 0.87171309273007491, 0.10000000000000009, 0.87266462599716477 }, + { 1.0456602197056328, 0.10000000000000009, 1.0471975511965976 }, + { 1.2194762899272025, 0.10000000000000009, 1.2217304763960306 }, + { 1.3931950229892744, 0.10000000000000009, 1.3962634015954636 }, + { 1.5668619420216685, 0.10000000000000009, 1.5707963267948966 }, +}; + +// Test function for k=0.10000000000000009. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data011[i].k), Tp(data011[i].phi)); + 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 k=0.19999999999999996. +testcase_ellint_2<double> data012[] = { + { -0.0000000000000000, 0.19999999999999996, 0.0000000000000000 }, + { 0.17449769027652814, 0.19999999999999996, 0.17453292519943295 }, + { 0.34878893400762095, 0.19999999999999996, 0.34906585039886590 }, + { 0.52269152856057410, 0.19999999999999996, 0.52359877559829882 }, + { 0.69606913360157596, 0.19999999999999996, 0.69813170079773179 }, + { 0.86884782374863356, 0.19999999999999996, 0.87266462599716477 }, + { 1.0410255369689567, 0.19999999999999996, 1.0471975511965976 }, + { 1.2126730391631360, 0.19999999999999996, 1.2217304763960306 }, + { 1.3839259540325153, 0.19999999999999996, 1.3962634015954636 }, + { 1.5549685462425296, 0.19999999999999996, 1.5707963267948966 }, +}; + +// Test function for k=0.19999999999999996. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data012[i].k), Tp(data012[i].phi)); + 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 k=0.30000000000000004. +testcase_ellint_2<double> data013[] = { + { -0.0000000000000000, 0.30000000000000004, 0.0000000000000000 }, + { 0.17445362864048916, 0.30000000000000004, 0.17453292519943295 }, + { 0.34844223535713464, 0.30000000000000004, 0.34906585039886590 }, + { 0.52155353877411770, 0.30000000000000004, 0.52359877559829882 }, + { 0.69347584418369879, 0.30000000000000004, 0.69813170079773179 }, + { 0.86403609928237668, 0.30000000000000004, 0.87266462599716477 }, + { 1.0332234514065410, 0.30000000000000004, 1.0471975511965976 }, + { 1.2011943182068923, 0.30000000000000004, 1.2217304763960306 }, + { 1.3682566113689620, 0.30000000000000004, 1.3962634015954636 }, + { 1.5348334649232489, 0.30000000000000004, 1.5707963267948966 }, +}; + +// Test function for k=0.30000000000000004. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data013[i].k), Tp(data013[i].phi)); + 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 k=0.39999999999999991. +testcase_ellint_2<double> data014[] = { + { -0.0000000000000000, 0.39999999999999991, 0.0000000000000000 }, + { 0.17439190872481269, 0.39999999999999991, 0.17453292519943295 }, + { 0.34795581767099210, 0.39999999999999991, 0.34906585039886590 }, + { 0.51995290683804474, 0.39999999999999991, 0.52359877559829882 }, + { 0.68981638464431549, 0.39999999999999991, 0.69813170079773179 }, + { 0.85722088859936041, 0.39999999999999991, 0.87266462599716477 }, + { 1.0221301327876993, 0.39999999999999991, 1.0471975511965976 }, + { 1.1848138019818373, 0.39999999999999991, 1.2217304763960306 }, + { 1.3458259266501531, 0.39999999999999991, 1.3962634015954636 }, + { 1.5059416123600404, 0.39999999999999991, 1.5707963267948966 }, +}; + +// Test function for k=0.39999999999999991. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data014[i].k), Tp(data014[i].phi)); + 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 k=0.50000000000000000. +testcase_ellint_2<double> data015[] = { + { -0.0000000000000000, 0.50000000000000000, 0.0000000000000000 }, + { 0.17431249677315910, 0.50000000000000000, 0.17453292519943295 }, + { 0.34732862537770803, 0.50000000000000000, 0.34906585039886590 }, + { 0.51788193485993805, 0.50000000000000000, 0.52359877559829882 }, + { 0.68506022954164536, 0.50000000000000000, 0.69813170079773179 }, + { 0.84831662803347196, 0.50000000000000000, 0.87266462599716477 }, + { 1.0075555551444717, 0.50000000000000000, 1.0471975511965976 }, + { 1.1631768599287302, 0.50000000000000000, 1.2217304763960306 }, + { 1.3160584048772543, 0.50000000000000000, 1.3962634015954636 }, + { 1.4674622093394274, 0.50000000000000000, 1.5707963267948966 }, +}; + +// Test function for k=0.50000000000000000. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data015[i].k), Tp(data015[i].phi)); + 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 k=0.60000000000000009. +testcase_ellint_2<double> data016[] = { + { -0.0000000000000000, 0.60000000000000009, 0.0000000000000000 }, + { 0.17421534919599130, 0.60000000000000009, 0.17453292519943295 }, + { 0.34655927787174101, 0.60000000000000009, 0.34906585039886590 }, + { 0.51533034538432165, 0.60000000000000009, 0.52359877559829882 }, + { 0.67916550597453029, 0.60000000000000009, 0.69813170079773179 }, + { 0.83720218180349870, 0.60000000000000009, 0.87266462599716477 }, + { 0.98922159354937789, 0.60000000000000009, 1.0471975511965976 }, + { 1.1357478470419360, 0.60000000000000009, 1.2217304763960306 }, + { 1.2780617372844056, 0.60000000000000009, 1.3962634015954636 }, + { 1.4180833944487241, 0.60000000000000009, 1.5707963267948966 }, +}; + +// Test function for k=0.60000000000000009. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data016[i].k), Tp(data016[i].phi)); + 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(5.0000000000000039e-13)); +} + +// Test data for k=0.69999999999999996. +testcase_ellint_2<double> data017[] = { + { -0.0000000000000000, 0.69999999999999996, 0.0000000000000000 }, + { 0.17410041242702540, 0.69999999999999996, 0.17453292519943295 }, + { 0.34564605085764760, 0.69999999999999996, 0.34906585039886590 }, + { 0.51228495693314657, 0.69999999999999996, 0.52359877559829882 }, + { 0.67207654098799530, 0.69999999999999996, 0.69813170079773179 }, + { 0.82370932631556515, 0.69999999999999996, 0.87266462599716477 }, + { 0.96672313309452795, 0.69999999999999996, 1.0471975511965976 }, + { 1.1017090644949503, 0.69999999999999996, 1.2217304763960306 }, + { 1.2304180097292916, 0.69999999999999996, 1.3962634015954636 }, + { 1.3556611355719557, 0.69999999999999996, 1.5707963267948966 }, +}; + +// Test function for k=0.69999999999999996. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data017[i].k), Tp(data017[i].phi)); + 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(5.0000000000000039e-13)); +} + +// Test data for k=0.80000000000000004. +testcase_ellint_2<double> data018[] = { + { -0.0000000000000000, 0.80000000000000004, 0.0000000000000000 }, + { 0.17396762274534808, 0.80000000000000004, 0.17453292519943295 }, + { 0.34458685226969316, 0.80000000000000004, 0.34906585039886590 }, + { 0.50872923654502444, 0.80000000000000004, 0.52359877559829882 }, + { 0.66372016539176237, 0.80000000000000004, 0.69813170079773179 }, + { 0.80760344410167406, 0.80000000000000004, 0.87266462599716477 }, + { 0.93945480372495072, 0.80000000000000004, 1.0471975511965976 }, + { 1.0597473310395036, 0.80000000000000004, 1.2217304763960306 }, + { 1.1706981862452361, 0.80000000000000004, 1.3962634015954636 }, + { 1.2763499431699066, 0.80000000000000004, 1.5707963267948966 }, +}; + +// Test function for k=0.80000000000000004. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data018[i].k), Tp(data018[i].phi)); + 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(1.0000000000000008e-12)); +} + +// Test data for k=0.89999999999999991. +testcase_ellint_2<double> data019[] = { + { -0.0000000000000000, 0.89999999999999991, 0.0000000000000000 }, + { 0.17381690606167963, 0.89999999999999991, 0.17453292519943295 }, + { 0.34337919186972055, 0.89999999999999991, 0.34906585039886590 }, + { 0.50464268659856337, 0.89999999999999991, 0.52359877559829882 }, + { 0.65400003842368581, 0.89999999999999991, 0.69813170079773179 }, + { 0.78854928419904657, 0.89999999999999991, 0.87266462599716477 }, + { 0.90645698626315385, 0.89999999999999991, 1.0471975511965976 }, + { 1.0075154899135930, 0.89999999999999991, 1.2217304763960306 }, + { 1.0940135583194071, 0.89999999999999991, 1.3962634015954636 }, + { 1.1716970527816142, 0.89999999999999991, 1.5707963267948966 }, +}; + +// Test function for k=0.89999999999999991. +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_ellint_2<double>); + for (unsigned int i = 0; i < num_datum; ++i) + { + const Tp f = std::tr1::ellint_2(Tp(data019[i].k), Tp(data019[i].phi)); + 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(5.0000000000000029e-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>(); + return 0; +} diff --git a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/compile.cc b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/compile.cc new file mode 100644 index 000000000..59a53b6a1 --- /dev/null +++ b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/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/>. + +// 5.2.1.13 ellint_2 + +#include <tr1/cmath> + +void +test01() +{ + float kf = 0.5F, phif = std::atan2(1.0F, 1.0F); + double kd = 0.5, phid = std::atan2(1.0, 1.0); + long double kl = 0.5L, phil = std::atan2(1.0L, 1.0L); + + std::tr1::ellint_2(kf, phif); + std::tr1::ellint_2f(kf, phif); + std::tr1::ellint_2(kd, phid); + std::tr1::ellint_2(kl, phil); + std::tr1::ellint_2l(kl, phil); + + return; +} + diff --git a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/compile_2.cc b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/compile_2.cc new file mode 100644 index 000000000..1802cb792 --- /dev/null +++ b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/compile_2.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/>. + +// 5.2.1.13 ellint_2 + +#include <tr1/math.h> + +void +test01() +{ + float kf = 0.5F, phif = std::atan2(1.0F, 1.0F); + double kd = 0.5, phid = std::atan2(1.0, 1.0); + long double kl = 0.5L, phil = std::atan2(1.0L, 1.0L); + + ellint_2(kf, phif); + ellint_2f(kf, phif); + ellint_2(kd, phid); + ellint_2(kl, phil); + ellint_2l(kl, phil); + + return; +} + |