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Unified Diff: gcc/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_value.cc

Issue 3050029: [gcc] GCC 4.5.0=>4.5.1 (Closed) Base URL: ssh://git@gitrw.chromium.org:9222/nacl-toolchain.git
Patch Set: Created 10 years, 5 months ago
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Index: gcc/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_value.cc
diff --git a/gcc/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_value.cc b/gcc/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_value.cc
deleted file mode 100644
index baca5ed852a4554a66a58c1cf006f843dd6fdac7..0000000000000000000000000000000000000000
--- a/gcc/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/13_ellint_2/check_value.cc
+++ /dev/null
@@ -1,843 +0,0 @@
-// 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;
-}

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