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Diffstat (limited to 'libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/06_comp_ellint_3/check_value.cc')
-rw-r--r--libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/06_comp_ellint_3/check_value.cc1185
1 files changed, 425 insertions, 760 deletions
diff --git a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/06_comp_ellint_3/check_value.cc b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/06_comp_ellint_3/check_value.cc
index 0c187d71188..ed11917401f 100644
--- a/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/06_comp_ellint_3/check_value.cc
+++ b/libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/06_comp_ellint_3/check_value.cc
@@ -1,6 +1,7 @@
-// 2007-02-04 Edward Smith-Rowland <3dw4rd@verizon.net>
+// { dg-do run { target c++11 } }
+// { dg-options "-D__STDCPP_WANT_MATH_SPEC_FUNCS__" }
//
-// Copyright (C) 2007-2017 Free Software Foundation, Inc.
+// Copyright (C) 2016-2018 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
@@ -18,826 +19,490 @@
// <http://www.gnu.org/licenses/>.
// comp_ellint_3
-
-
// Compare against values generated by the GNU Scientific Library.
// The GSL can be found on the web: http://www.gnu.org/software/gsl/
-
+#include <limits>
#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; \
- }
+# include <iostream>
+# define VERIFY(A) \
+ if (!(A)) \
+ { \
+ std::cout << "line " << __LINE__ \
+ << " max_abs_frac = " << max_abs_frac \
+ << std::endl; \
+ }
#else
-#include <testsuite_hooks.h>
+# include <testsuite_hooks.h>
#endif
-#include "../testcase.h"
-
+#include <specfun_testcase.h>
// Test data for k=-0.90000000000000002.
-testcase_comp_ellint_3<double> data001[] = {
+// max(|f - f_Boost|): 4.4408920985006262e-16 at index 5
+// max(|f - f_Boost| / |f_Boost|): 1.2838262090802751e-16
+// mean(f - f_Boost): 4.4408920985006264e-17
+// variance(f - f_Boost): 2.4347558803117648e-34
+// stddev(f - f_Boost): 1.5603704304785339e-17
+const testcase_comp_ellint_3<double>
+data001[10] =
+{
{ 2.2805491384227703, -0.90000000000000002, 0.0000000000000000 },
- { 2.1537868513875287, -0.90000000000000002, 0.10000000000000001 },
- { 2.0443194576468890, -0.90000000000000002, 0.20000000000000001 },
- { 1.9486280260314426, -0.90000000000000002, 0.29999999999999999 },
- { 1.8641114227238349, -0.90000000000000002, 0.40000000000000002 },
- { 1.7888013241937861, -0.90000000000000002, 0.50000000000000000 },
- { 1.7211781128919523, -0.90000000000000002, 0.59999999999999998 },
- { 1.6600480747670938, -0.90000000000000002, 0.69999999999999996 },
- { 1.6044591960982204, -0.90000000000000002, 0.80000000000000004 },
- { 1.5536420236310946, -0.90000000000000002, 0.90000000000000002 },
+ { 2.4295011187834885, -0.90000000000000002, 0.10000000000000001 },
+ { 2.6076835743348412, -0.90000000000000002, 0.20000000000000001 },
+ { 2.8256506968858512, -0.90000000000000002, 0.30000000000000004 },
+ { 3.1000689868578619, -0.90000000000000002, 0.40000000000000002 },
+ { 3.4591069002104677, -0.90000000000000002, 0.50000000000000000 },
+ { 3.9549939883570229, -0.90000000000000002, 0.60000000000000009 },
+ { 4.6985482312992435, -0.90000000000000002, 0.70000000000000007 },
+ { 5.9820740813645710, -0.90000000000000002, 0.80000000000000004 },
+ { 8.9942562031858699, -0.90000000000000002, 0.90000000000000002 },
};
-
-// 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data001[i].k), Tp(data001[i].nu));
- 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));
-}
+const double toler001 = 2.5000000000000020e-13;
// Test data for k=-0.80000000000000004.
-testcase_comp_ellint_3<double> data002[] = {
- { 1.9953027776647296, -0.80000000000000004, 0.0000000000000000 },
- { 1.8910755418379521, -0.80000000000000004, 0.10000000000000001 },
- { 1.8007226661734588, -0.80000000000000004, 0.20000000000000001 },
- { 1.7214611048717301, -0.80000000000000004, 0.29999999999999999 },
- { 1.6512267838651289, -0.80000000000000004, 0.40000000000000002 },
- { 1.5884528947755532, -0.80000000000000004, 0.50000000000000000 },
- { 1.5319262547427865, -0.80000000000000004, 0.59999999999999998 },
- { 1.4806912324625332, -0.80000000000000004, 0.69999999999999996 },
- { 1.4339837018309474, -0.80000000000000004, 0.80000000000000004 },
- { 1.3911845406776222, -0.80000000000000004, 0.90000000000000002 },
-};
-
-// Test function for k=-0.80000000000000004.
-template <typename Tp>
-void test002()
+// max(|f - f_Boost|): 1.7763568394002505e-15 at index 8
+// max(|f - f_Boost| / |f_Boost|): 4.1949393471095187e-16
+// mean(f - f_Boost): 9.5479180117763459e-16
+// variance(f - f_Boost): 5.4782007307014711e-34
+// stddev(f - f_Boost): 2.3405556457178006e-17
+const testcase_comp_ellint_3<double>
+data002[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data002[i].k), Tp(data002[i].nu));
- 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 k=-0.69999999999999996.
-testcase_comp_ellint_3<double> data003[] = {
- { 1.8456939983747236, -0.69999999999999996, 0.0000000000000000 },
- { 1.7528050171757608, -0.69999999999999996, 0.10000000000000001 },
- { 1.6721098780092147, -0.69999999999999996, 0.20000000000000001 },
- { 1.6011813647733213, -0.69999999999999996, 0.29999999999999999 },
- { 1.5382162002954762, -0.69999999999999996, 0.40000000000000002 },
- { 1.4818433192178544, -0.69999999999999996, 0.50000000000000000 },
- { 1.4309994736080540, -0.69999999999999996, 0.59999999999999998 },
- { 1.3848459188329196, -0.69999999999999996, 0.69999999999999996 },
- { 1.3427110650397533, -0.69999999999999996, 0.80000000000000004 },
- { 1.3040500499695911, -0.69999999999999996, 0.90000000000000002 },
+ { 1.9953027776647294, -0.80000000000000004, 0.0000000000000000 },
+ { 2.1172616484005085, -0.80000000000000004, 0.10000000000000001 },
+ { 2.2624789434186798, -0.80000000000000004, 0.20000000000000001 },
+ { 2.4392042002725698, -0.80000000000000004, 0.30000000000000004 },
+ { 2.6604037035529728, -0.80000000000000004, 0.40000000000000002 },
+ { 2.9478781158239751, -0.80000000000000004, 0.50000000000000000 },
+ { 3.3418121892288055, -0.80000000000000004, 0.60000000000000009 },
+ { 3.9268876980046397, -0.80000000000000004, 0.70000000000000007 },
+ { 4.9246422058196071, -0.80000000000000004, 0.80000000000000004 },
+ { 7.2263259298637132, -0.80000000000000004, 0.90000000000000002 },
};
+const double toler002 = 2.5000000000000020e-13;
-// Test function for k=-0.69999999999999996.
-template <typename Tp>
-void test003()
+// Test data for k=-0.69999999999999996.
+// max(|f - f_Boost|): 4.4408920985006262e-16 at index 3
+// max(|f - f_Boost| / |f_Boost|): 1.9832236886714888e-16
+// mean(f - f_Boost): -1.5543122344752191e-16
+// variance(f - f_Boost): 2.9825759533819119e-33
+// stddev(f - f_Boost): 5.4612965066748680e-17
+const testcase_comp_ellint_3<double>
+data003[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data003[i].k), Tp(data003[i].nu));
- 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));
-}
+ { 1.8456939983747234, -0.69999999999999996, 0.0000000000000000 },
+ { 1.9541347343119564, -0.69999999999999996, 0.10000000000000001 },
+ { 2.0829290325820202, -0.69999999999999996, 0.20000000000000001 },
+ { 2.2392290510988535, -0.69999999999999996, 0.30000000000000004 },
+ { 2.4342502915307880, -0.69999999999999996, 0.40000000000000002 },
+ { 2.6868019968236996, -0.69999999999999996, 0.50000000000000000 },
+ { 3.0314573496746742, -0.69999999999999996, 0.60000000000000009 },
+ { 3.5408408771788564, -0.69999999999999996, 0.70000000000000007 },
+ { 4.4042405729076961, -0.69999999999999996, 0.80000000000000004 },
+ { 6.3796094177887754, -0.69999999999999996, 0.90000000000000002 },
+};
+const double toler003 = 2.5000000000000020e-13;
// Test data for k=-0.59999999999999998.
-testcase_comp_ellint_3<double> data004[] = {
+// max(|f - f_Boost|): 4.4408920985006262e-16 at index 2
+// max(|f - f_Boost| / |f_Boost|): 2.2547200163366559e-16
+// mean(f - f_Boost): -1.9984014443252818e-16
+// variance(f - f_Boost): 4.9303806576313241e-33
+// stddev(f - f_Boost): 7.0216669371534022e-17
+const testcase_comp_ellint_3<double>
+data004[10] =
+{
{ 1.7507538029157526, -0.59999999999999998, 0.0000000000000000 },
- { 1.6648615773343014, -0.59999999999999998, 0.10000000000000001 },
- { 1.5901418016279374, -0.59999999999999998, 0.20000000000000001 },
- { 1.5243814243493585, -0.59999999999999998, 0.29999999999999999 },
- { 1.4659345278069984, -0.59999999999999998, 0.40000000000000002 },
- { 1.4135484285693078, -0.59999999999999998, 0.50000000000000000 },
- { 1.3662507535812816, -0.59999999999999998, 0.59999999999999998 },
- { 1.3232737468822811, -0.59999999999999998, 0.69999999999999996 },
- { 1.2840021261752192, -0.59999999999999998, 0.80000000000000004 },
- { 1.2479362973851875, -0.59999999999999998, 0.90000000000000002 },
+ { 1.8508766487100685, -0.59999999999999998, 0.10000000000000001 },
+ { 1.9695980282802217, -0.59999999999999998, 0.20000000000000001 },
+ { 2.1134154405060599, -0.59999999999999998, 0.30000000000000004 },
+ { 2.2925036420985130, -0.59999999999999998, 0.40000000000000002 },
+ { 2.5239007084492711, -0.59999999999999998, 0.50000000000000000 },
+ { 2.8388723099514972, -0.59999999999999998, 0.60000000000000009 },
+ { 3.3029735898397159, -0.59999999999999998, 0.70000000000000007 },
+ { 4.0867036409261832, -0.59999999999999998, 0.80000000000000004 },
+ { 5.8709993116265604, -0.59999999999999998, 0.90000000000000002 },
};
-
-// 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data004[i].k), Tp(data004[i].nu));
- 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));
-}
+const double toler004 = 2.5000000000000020e-13;
// Test data for k=-0.50000000000000000.
-testcase_comp_ellint_3<double> data005[] = {
- { 1.6857503548125963, -0.50000000000000000, 0.0000000000000000 },
- { 1.6045524936084892, -0.50000000000000000, 0.10000000000000001 },
- { 1.5338490483665983, -0.50000000000000000, 0.20000000000000001 },
- { 1.4715681939859637, -0.50000000000000000, 0.29999999999999999 },
- { 1.4161679518465340, -0.50000000000000000, 0.40000000000000002 },
- { 1.3664739530045971, -0.50000000000000000, 0.50000000000000000 },
- { 1.3215740290190876, -0.50000000000000000, 0.59999999999999998 },
- { 1.2807475181182502, -0.50000000000000000, 0.69999999999999996 },
- { 1.2434165408189539, -0.50000000000000000, 0.80000000000000004 },
- { 1.2091116095504744, -0.50000000000000000, 0.90000000000000002 },
-};
-
-// Test function for k=-0.50000000000000000.
-template <typename Tp>
-void test005()
+// max(|f - f_Boost|): 4.4408920985006262e-16 at index 3
+// max(|f - f_Boost| / |f_Boost|): 2.1900131385114407e-16
+// mean(f - f_Boost): 2.4424906541753446e-16
+// variance(f - f_Boost): 7.3651365379430888e-33
+// stddev(f - f_Boost): 8.5820373676319358e-17
+const testcase_comp_ellint_3<double>
+data005[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data005[i].k), Tp(data005[i].nu));
- 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_comp_ellint_3<double> data006[] = {
- { 1.6399998658645112, -0.40000000000000002, 0.0000000000000000 },
- { 1.5620566886683604, -0.40000000000000002, 0.10000000000000001 },
- { 1.4941414344266770, -0.40000000000000002, 0.20000000000000001 },
- { 1.4342789859950078, -0.40000000000000002, 0.29999999999999999 },
- { 1.3809986210732901, -0.40000000000000002, 0.40000000000000002 },
- { 1.3331797176377398, -0.40000000000000002, 0.50000000000000000 },
- { 1.2899514672527024, -0.40000000000000002, 0.59999999999999998 },
- { 1.2506255923253344, -0.40000000000000002, 0.69999999999999996 },
- { 1.2146499565727209, -0.40000000000000002, 0.80000000000000004 },
- { 1.1815758115929846, -0.40000000000000002, 0.90000000000000002 },
+ { 1.6857503548125961, -0.50000000000000000, 0.0000000000000000 },
+ { 1.7803034946545482, -0.50000000000000000, 0.10000000000000001 },
+ { 1.8922947612264021, -0.50000000000000000, 0.20000000000000001 },
+ { 2.0277924458111314, -0.50000000000000000, 0.30000000000000004 },
+ { 2.1962905366178065, -0.50000000000000000, 0.40000000000000002 },
+ { 2.4136715042011945, -0.50000000000000000, 0.50000000000000000 },
+ { 2.7090491861753558, -0.50000000000000000, 0.60000000000000009 },
+ { 3.1433945297859229, -0.50000000000000000, 0.70000000000000007 },
+ { 3.8750701888108070, -0.50000000000000000, 0.80000000000000004 },
+ { 5.5355132096026463, -0.50000000000000000, 0.90000000000000002 },
};
-
-// Test function for k=-0.40000000000000002.
-template <typename Tp>
-void test006()
+const double toler005 = 2.5000000000000020e-13;
+
+// Test data for k=-0.39999999999999991.
+// max(|f - f_Boost|): 1.7763568394002505e-15 at index 9
+// max(|f - f_Boost| / |f_Boost|): 4.1718164615986397e-16
+// mean(f - f_Boost): 6.2172489379008762e-16
+// variance(f - f_Boost): 1.6458949750907531e-31
+// stddev(f - f_Boost): 4.0569631192441877e-16
+const testcase_comp_ellint_3<double>
+data006[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data006[i].k), Tp(data006[i].nu));
- 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_comp_ellint_3<double> data007[] = {
- { 1.6080486199305126, -0.30000000000000004, 0.0000000000000000 },
- { 1.5323534693557526, -0.30000000000000004, 0.10000000000000001 },
- { 1.4663658145259875, -0.30000000000000004, 0.20000000000000001 },
- { 1.4081767433479089, -0.30000000000000004, 0.29999999999999999 },
- { 1.3563643538969761, -0.30000000000000004, 0.40000000000000002 },
- { 1.3098448759814960, -0.30000000000000004, 0.50000000000000000 },
- { 1.2677758800420666, -0.30000000000000004, 0.59999999999999998 },
- { 1.2294913236274980, -0.30000000000000004, 0.69999999999999996 },
- { 1.1944567571590046, -0.30000000000000004, 0.80000000000000004 },
- { 1.1622376896064912, -0.30000000000000004, 0.90000000000000002 },
+ { 1.6399998658645112, -0.39999999999999991, 0.0000000000000000 },
+ { 1.7306968836847190, -0.39999999999999991, 0.10000000000000001 },
+ { 1.8380358826317627, -0.39999999999999991, 0.20000000000000001 },
+ { 1.9677924132520139, -0.39999999999999991, 0.30000000000000004 },
+ { 2.1289968719280026, -0.39999999999999991, 0.40000000000000002 },
+ { 2.3367461373176512, -0.39999999999999991, 0.50000000000000000 },
+ { 2.6186940209850191, -0.39999999999999991, 0.60000000000000009 },
+ { 3.0327078743873246, -0.39999999999999991, 0.70000000000000007 },
+ { 3.7289548002199902, -0.39999999999999991, 0.80000000000000004 },
+ { 5.3055535102872513, -0.39999999999999991, 0.90000000000000002 },
};
-
-// Test function for k=-0.30000000000000004.
-template <typename Tp>
-void test007()
+const double toler006 = 2.5000000000000020e-13;
+
+// Test data for k=-0.29999999999999993.
+// max(|f - f_Boost|): 1.3322676295501878e-15 at index 8
+// max(|f - f_Boost| / |f_Boost|): 3.9274792319434433e-16
+// mean(f - f_Boost): 6.2172489379008762e-16
+// variance(f - f_Boost): 8.7651211691223537e-33
+// stddev(f - f_Boost): 9.3622225828712025e-17
+const testcase_comp_ellint_3<double>
+data007[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data007[i].k), Tp(data007[i].nu));
- 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_comp_ellint_3<double> data008[] = {
- { 1.5868678474541664, -0.19999999999999996, 0.0000000000000000 },
- { 1.5126513474261092, -0.19999999999999996, 0.10000000000000001 },
- { 1.4479323932249568, -0.19999999999999996, 0.20000000000000001 },
- { 1.3908453514752481, -0.19999999999999996, 0.29999999999999999 },
- { 1.3400002519661010, -0.19999999999999996, 0.40000000000000002 },
- { 1.2943374404397376, -0.19999999999999996, 0.50000000000000000 },
- { 1.2530330675914561, -0.19999999999999996, 0.59999999999999998 },
- { 1.2154356555075867, -0.19999999999999996, 0.69999999999999996 },
- { 1.1810223448909913, -0.19999999999999996, 0.80000000000000004 },
- { 1.1493679916141863, -0.19999999999999996, 0.90000000000000002 },
+ { 1.6080486199305128, -0.29999999999999993, 0.0000000000000000 },
+ { 1.6960848815118226, -0.29999999999999993, 0.10000000000000001 },
+ { 1.8002173372290500, -0.29999999999999993, 0.20000000000000001 },
+ { 1.9260216862473254, -0.29999999999999993, 0.30000000000000004 },
+ { 2.0822121773175533, -0.29999999999999993, 0.40000000000000002 },
+ { 2.2833505881933971, -0.29999999999999993, 0.50000000000000000 },
+ { 2.5560975528589065, -0.29999999999999993, 0.60000000000000009 },
+ { 2.9562123549913877, -0.29999999999999993, 0.70000000000000007 },
+ { 3.6283050484567170, -0.29999999999999993, 0.80000000000000004 },
+ { 5.1479514944016795, -0.29999999999999993, 0.90000000000000002 },
};
+const double toler007 = 2.5000000000000020e-13;
-// Test function for k=-0.19999999999999996.
-template <typename Tp>
-void test008()
+// Test data for k=-0.19999999999999996.
+// max(|f - f_Boost|): 8.8817841970012523e-16 at index 9
+// max(|f - f_Boost| / |f_Boost|): 1.9753938705764407e-16
+// mean(f - f_Boost): 3.1086244689504381e-16
+// variance(f - f_Boost): 4.1147374377268827e-32
+// stddev(f - f_Boost): 2.0284815596220939e-16
+const testcase_comp_ellint_3<double>
+data008[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data008[i].k), Tp(data008[i].nu));
- 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_comp_ellint_3<double> data009[] = {
- { 1.5747455615173562, -0.099999999999999978, 0.0000000000000000 },
- { 1.5013711111199950, -0.099999999999999978, 0.10000000000000001 },
- { 1.4373749386463430, -0.099999999999999978, 0.20000000000000001 },
- { 1.3809159606704959, -0.099999999999999978, 0.29999999999999999 },
- { 1.3306223265207477, -0.099999999999999978, 0.40000000000000002 },
- { 1.2854480708580160, -0.099999999999999978, 0.50000000000000000 },
- { 1.2445798942989255, -0.099999999999999978, 0.59999999999999998 },
- { 1.2073745911083187, -0.099999999999999978, 0.69999999999999996 },
- { 1.1733158866987732, -0.099999999999999978, 0.80000000000000004 },
- { 1.1419839485283374, -0.099999999999999978, 0.90000000000000002 },
+ { 1.5868678474541662, -0.19999999999999996, 0.0000000000000000 },
+ { 1.6731552050562593, -0.19999999999999996, 0.10000000000000001 },
+ { 1.7751816279738935, -0.19999999999999996, 0.20000000000000001 },
+ { 1.8983924169967101, -0.19999999999999996, 0.30000000000000004 },
+ { 2.0512956926676806, -0.19999999999999996, 0.40000000000000002 },
+ { 2.2481046259421302, -0.19999999999999996, 0.50000000000000000 },
+ { 2.5148333891629315, -0.19999999999999996, 0.60000000000000009 },
+ { 2.9058704854500967, -0.19999999999999996, 0.70000000000000007 },
+ { 3.5622166386422633, -0.19999999999999996, 0.80000000000000004 },
+ { 5.0448269356200370, -0.19999999999999996, 0.90000000000000002 },
};
+const double toler008 = 2.5000000000000020e-13;
-// Test function for k=-0.099999999999999978.
-template <typename Tp>
-void test009()
+// Test data for k=-0.099999999999999978.
+// max(|f - f_Boost|): 4.4408920985006262e-16 at index 5
+// max(|f - f_Boost| / |f_Boost|): 1.9932308021417639e-16
+// mean(f - f_Boost): 0.0000000000000000
+// variance(f - f_Boost): 6.8368087769470551e-64
+// stddev(f - f_Boost): 2.6147291976315738e-32
+const testcase_comp_ellint_3<double>
+data009[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data009[i].k), Tp(data009[i].nu));
- 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));
-}
+ { 1.5747455615173560, -0.099999999999999978, 0.0000000000000000 },
+ { 1.6600374067558428, -0.099999999999999978, 0.10000000000000001 },
+ { 1.7608656115083421, -0.099999999999999978, 0.20000000000000001 },
+ { 1.8826015946315438, -0.099999999999999978, 0.30000000000000004 },
+ { 2.0336367403076760, -0.099999999999999978, 0.40000000000000002 },
+ { 2.2279868912966849, -0.099999999999999978, 0.50000000000000000 },
+ { 2.4913004919173827, -0.099999999999999978, 0.60000000000000009 },
+ { 2.8771910188009744, -0.099999999999999978, 0.70000000000000007 },
+ { 3.5246199613295617, -0.099999999999999978, 0.80000000000000004 },
+ { 4.9862890417305508, -0.099999999999999978, 0.90000000000000002 },
+};
+const double toler009 = 2.5000000000000020e-13;
// Test data for k=0.0000000000000000.
-testcase_comp_ellint_3<double> data010[] = {
+// max(|f - f_Boost|): 8.8817841970012523e-16 at index 9
+// max(|f - f_Boost| / |f_Boost|): 2.1899085000907084e-16
+// mean(f - f_Boost): -2.2204460492503131e-16
+// variance(f - f_Boost): 5.4782007307014711e-32
+// stddev(f - f_Boost): 2.3405556457178008e-16
+const testcase_comp_ellint_3<double>
+data010[10] =
+{
{ 1.5707963267948966, 0.0000000000000000, 0.0000000000000000 },
- { 1.4976955329233277, 0.0000000000000000, 0.10000000000000001 },
- { 1.4339343023863691, 0.0000000000000000, 0.20000000000000001 },
- { 1.3776795151134889, 0.0000000000000000, 0.29999999999999999 },
- { 1.3275651989026322, 0.0000000000000000, 0.40000000000000002 },
- { 1.2825498301618641, 0.0000000000000000, 0.50000000000000000 },
- { 1.2418235332245127, 0.0000000000000000, 0.59999999999999998 },
- { 1.2047457872617382, 0.0000000000000000, 0.69999999999999996 },
- { 1.1708024551734544, 0.0000000000000000, 0.80000000000000004 },
- { 1.1395754288497419, 0.0000000000000000, 0.90000000000000002 },
+ { 1.6557647109660170, 0.0000000000000000, 0.10000000000000001 },
+ { 1.7562036827601817, 0.0000000000000000, 0.20000000000000001 },
+ { 1.8774607092226381, 0.0000000000000000, 0.30000000000000004 },
+ { 2.0278893379868062, 0.0000000000000000, 0.40000000000000002 },
+ { 2.2214414690791831, 0.0000000000000000, 0.50000000000000000 },
+ { 2.4836470664490258, 0.0000000000000000, 0.60000000000000009 },
+ { 2.8678686047727386, 0.0000000000000000, 0.70000000000000007 },
+ { 3.5124073655203634, 0.0000000000000000, 0.80000000000000004 },
+ { 4.9672941328980516, 0.0000000000000000, 0.90000000000000002 },
};
-
-// 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data010[i].k), Tp(data010[i].nu));
- 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));
-}
+const double toler010 = 2.5000000000000020e-13;
// Test data for k=0.10000000000000009.
-testcase_comp_ellint_3<double> data011[] = {
- { 1.5747455615173562, 0.10000000000000009, 0.0000000000000000 },
- { 1.5013711111199950, 0.10000000000000009, 0.10000000000000001 },
- { 1.4373749386463430, 0.10000000000000009, 0.20000000000000001 },
- { 1.3809159606704959, 0.10000000000000009, 0.29999999999999999 },
- { 1.3306223265207477, 0.10000000000000009, 0.40000000000000002 },
- { 1.2854480708580160, 0.10000000000000009, 0.50000000000000000 },
- { 1.2445798942989255, 0.10000000000000009, 0.59999999999999998 },
- { 1.2073745911083187, 0.10000000000000009, 0.69999999999999996 },
- { 1.1733158866987732, 0.10000000000000009, 0.80000000000000004 },
- { 1.1419839485283374, 0.10000000000000009, 0.90000000000000002 },
-};
-
-// Test function for k=0.10000000000000009.
-template <typename Tp>
-void test011()
+// max(|f - f_Boost|): 4.4408920985006262e-16 at index 5
+// max(|f - f_Boost| / |f_Boost|): 1.9932308021417639e-16
+// mean(f - f_Boost): -2.2204460492503132e-17
+// variance(f - f_Boost): 6.0868897007794120e-35
+// stddev(f - f_Boost): 7.8018521523926693e-18
+const testcase_comp_ellint_3<double>
+data011[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data011[i].k), Tp(data011[i].nu));
- 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_comp_ellint_3<double> data012[] = {
- { 1.5868678474541664, 0.19999999999999996, 0.0000000000000000 },
- { 1.5126513474261092, 0.19999999999999996, 0.10000000000000001 },
- { 1.4479323932249568, 0.19999999999999996, 0.20000000000000001 },
- { 1.3908453514752481, 0.19999999999999996, 0.29999999999999999 },
- { 1.3400002519661010, 0.19999999999999996, 0.40000000000000002 },
- { 1.2943374404397376, 0.19999999999999996, 0.50000000000000000 },
- { 1.2530330675914561, 0.19999999999999996, 0.59999999999999998 },
- { 1.2154356555075867, 0.19999999999999996, 0.69999999999999996 },
- { 1.1810223448909913, 0.19999999999999996, 0.80000000000000004 },
- { 1.1493679916141863, 0.19999999999999996, 0.90000000000000002 },
+ { 1.5747455615173560, 0.10000000000000009, 0.0000000000000000 },
+ { 1.6600374067558428, 0.10000000000000009, 0.10000000000000001 },
+ { 1.7608656115083421, 0.10000000000000009, 0.20000000000000001 },
+ { 1.8826015946315440, 0.10000000000000009, 0.30000000000000004 },
+ { 2.0336367403076760, 0.10000000000000009, 0.40000000000000002 },
+ { 2.2279868912966849, 0.10000000000000009, 0.50000000000000000 },
+ { 2.4913004919173827, 0.10000000000000009, 0.60000000000000009 },
+ { 2.8771910188009744, 0.10000000000000009, 0.70000000000000007 },
+ { 3.5246199613295617, 0.10000000000000009, 0.80000000000000004 },
+ { 4.9862890417305508, 0.10000000000000009, 0.90000000000000002 },
};
-
-// Test function for k=0.19999999999999996.
-template <typename Tp>
-void test012()
+const double toler011 = 2.5000000000000020e-13;
+
+// Test data for k=0.20000000000000018.
+// max(|f - f_Boost|): 8.8817841970012523e-16 at index 9
+// max(|f - f_Boost| / |f_Boost|): 1.9753938705764407e-16
+// mean(f - f_Boost): 3.1086244689504381e-16
+// variance(f - f_Boost): 4.1147374377268827e-32
+// stddev(f - f_Boost): 2.0284815596220939e-16
+const testcase_comp_ellint_3<double>
+data012[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data012[i].k), Tp(data012[i].nu));
- 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_comp_ellint_3<double> data013[] = {
- { 1.6080486199305126, 0.30000000000000004, 0.0000000000000000 },
- { 1.5323534693557526, 0.30000000000000004, 0.10000000000000001 },
- { 1.4663658145259875, 0.30000000000000004, 0.20000000000000001 },
- { 1.4081767433479089, 0.30000000000000004, 0.29999999999999999 },
- { 1.3563643538969761, 0.30000000000000004, 0.40000000000000002 },
- { 1.3098448759814960, 0.30000000000000004, 0.50000000000000000 },
- { 1.2677758800420666, 0.30000000000000004, 0.59999999999999998 },
- { 1.2294913236274980, 0.30000000000000004, 0.69999999999999996 },
- { 1.1944567571590046, 0.30000000000000004, 0.80000000000000004 },
- { 1.1622376896064912, 0.30000000000000004, 0.90000000000000002 },
+ { 1.5868678474541662, 0.20000000000000018, 0.0000000000000000 },
+ { 1.6731552050562593, 0.20000000000000018, 0.10000000000000001 },
+ { 1.7751816279738935, 0.20000000000000018, 0.20000000000000001 },
+ { 1.8983924169967101, 0.20000000000000018, 0.30000000000000004 },
+ { 2.0512956926676806, 0.20000000000000018, 0.40000000000000002 },
+ { 2.2481046259421302, 0.20000000000000018, 0.50000000000000000 },
+ { 2.5148333891629315, 0.20000000000000018, 0.60000000000000009 },
+ { 2.9058704854500967, 0.20000000000000018, 0.70000000000000007 },
+ { 3.5622166386422633, 0.20000000000000018, 0.80000000000000004 },
+ { 5.0448269356200370, 0.20000000000000018, 0.90000000000000002 },
};
+const double toler012 = 2.5000000000000020e-13;
-// Test function for k=0.30000000000000004.
-template <typename Tp>
-void test013()
+// Test data for k=0.30000000000000004.
+// max(|f - f_Boost|): 8.8817841970012523e-16 at index 8
+// max(|f - f_Boost| / |f_Boost|): 3.4585997630846713e-16
+// mean(f - f_Boost): 5.1070259132757197e-16
+// variance(f - f_Boost): 1.7591111235252501e-32
+// stddev(f - f_Boost): 1.3263148659067538e-16
+const testcase_comp_ellint_3<double>
+data013[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data013[i].k), Tp(data013[i].nu));
- 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_comp_ellint_3<double> data014[] = {
- { 1.6399998658645112, 0.39999999999999991, 0.0000000000000000 },
- { 1.5620566886683604, 0.39999999999999991, 0.10000000000000001 },
- { 1.4941414344266770, 0.39999999999999991, 0.20000000000000001 },
- { 1.4342789859950078, 0.39999999999999991, 0.29999999999999999 },
- { 1.3809986210732901, 0.39999999999999991, 0.40000000000000002 },
- { 1.3331797176377398, 0.39999999999999991, 0.50000000000000000 },
- { 1.2899514672527024, 0.39999999999999991, 0.59999999999999998 },
- { 1.2506255923253344, 0.39999999999999991, 0.69999999999999996 },
- { 1.2146499565727209, 0.39999999999999991, 0.80000000000000004 },
- { 1.1815758115929846, 0.39999999999999991, 0.90000000000000002 },
+ { 1.6080486199305128, 0.30000000000000004, 0.0000000000000000 },
+ { 1.6960848815118228, 0.30000000000000004, 0.10000000000000001 },
+ { 1.8002173372290500, 0.30000000000000004, 0.20000000000000001 },
+ { 1.9260216862473254, 0.30000000000000004, 0.30000000000000004 },
+ { 2.0822121773175533, 0.30000000000000004, 0.40000000000000002 },
+ { 2.2833505881933975, 0.30000000000000004, 0.50000000000000000 },
+ { 2.5560975528589065, 0.30000000000000004, 0.60000000000000009 },
+ { 2.9562123549913877, 0.30000000000000004, 0.70000000000000007 },
+ { 3.6283050484567174, 0.30000000000000004, 0.80000000000000004 },
+ { 5.1479514944016795, 0.30000000000000004, 0.90000000000000002 },
};
-
-// Test function for k=0.39999999999999991.
-template <typename Tp>
-void test014()
+const double toler013 = 2.5000000000000020e-13;
+
+// Test data for k=0.40000000000000013.
+// max(|f - f_Boost|): 2.6645352591003757e-15 at index 9
+// max(|f - f_Boost| / |f_Boost|): 6.7696531428672557e-16
+// mean(f - f_Boost): 1.1990408665951691e-15
+// variance(f - f_Boost): 2.6514491536595121e-31
+// stddev(f - f_Boost): 5.1492224205791612e-16
+const testcase_comp_ellint_3<double>
+data014[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data014[i].k), Tp(data014[i].nu));
- 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_comp_ellint_3<double> data015[] = {
- { 1.6857503548125963, 0.50000000000000000, 0.0000000000000000 },
- { 1.6045524936084892, 0.50000000000000000, 0.10000000000000001 },
- { 1.5338490483665983, 0.50000000000000000, 0.20000000000000001 },
- { 1.4715681939859637, 0.50000000000000000, 0.29999999999999999 },
- { 1.4161679518465340, 0.50000000000000000, 0.40000000000000002 },
- { 1.3664739530045971, 0.50000000000000000, 0.50000000000000000 },
- { 1.3215740290190876, 0.50000000000000000, 0.59999999999999998 },
- { 1.2807475181182502, 0.50000000000000000, 0.69999999999999996 },
- { 1.2434165408189539, 0.50000000000000000, 0.80000000000000004 },
- { 1.2091116095504744, 0.50000000000000000, 0.90000000000000002 },
+ { 1.6399998658645112, 0.40000000000000013, 0.0000000000000000 },
+ { 1.7306968836847190, 0.40000000000000013, 0.10000000000000001 },
+ { 1.8380358826317629, 0.40000000000000013, 0.20000000000000001 },
+ { 1.9677924132520141, 0.40000000000000013, 0.30000000000000004 },
+ { 2.1289968719280030, 0.40000000000000013, 0.40000000000000002 },
+ { 2.3367461373176512, 0.40000000000000013, 0.50000000000000000 },
+ { 2.6186940209850196, 0.40000000000000013, 0.60000000000000009 },
+ { 3.0327078743873246, 0.40000000000000013, 0.70000000000000007 },
+ { 3.7289548002199906, 0.40000000000000013, 0.80000000000000004 },
+ { 5.3055535102872522, 0.40000000000000013, 0.90000000000000002 },
};
+const double toler014 = 2.5000000000000020e-13;
-// Test function for k=0.50000000000000000.
-template <typename Tp>
-void test015()
+// Test data for k=0.50000000000000000.
+// max(|f - f_Boost|): 4.4408920985006262e-16 at index 3
+// max(|f - f_Boost| / |f_Boost|): 2.1900131385114407e-16
+// mean(f - f_Boost): 2.4424906541753446e-16
+// variance(f - f_Boost): 7.3651365379430888e-33
+// stddev(f - f_Boost): 8.5820373676319358e-17
+const testcase_comp_ellint_3<double>
+data015[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data015[i].k), Tp(data015[i].nu));
- 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));
-}
+ { 1.6857503548125961, 0.50000000000000000, 0.0000000000000000 },
+ { 1.7803034946545482, 0.50000000000000000, 0.10000000000000001 },
+ { 1.8922947612264021, 0.50000000000000000, 0.20000000000000001 },
+ { 2.0277924458111314, 0.50000000000000000, 0.30000000000000004 },
+ { 2.1962905366178065, 0.50000000000000000, 0.40000000000000002 },
+ { 2.4136715042011945, 0.50000000000000000, 0.50000000000000000 },
+ { 2.7090491861753558, 0.50000000000000000, 0.60000000000000009 },
+ { 3.1433945297859229, 0.50000000000000000, 0.70000000000000007 },
+ { 3.8750701888108070, 0.50000000000000000, 0.80000000000000004 },
+ { 5.5355132096026463, 0.50000000000000000, 0.90000000000000002 },
+};
+const double toler015 = 2.5000000000000020e-13;
// Test data for k=0.60000000000000009.
-testcase_comp_ellint_3<double> data016[] = {
+// max(|f - f_Boost|): 4.4408920985006262e-16 at index 2
+// max(|f - f_Boost| / |f_Boost|): 2.2547200163366559e-16
+// mean(f - f_Boost): -2.2204460492503131e-16
+// variance(f - f_Boost): 6.0868897007794117e-33
+// stddev(f - f_Boost): 7.8018521523926690e-17
+const testcase_comp_ellint_3<double>
+data016[10] =
+{
{ 1.7507538029157526, 0.60000000000000009, 0.0000000000000000 },
- { 1.6648615773343014, 0.60000000000000009, 0.10000000000000001 },
- { 1.5901418016279374, 0.60000000000000009, 0.20000000000000001 },
- { 1.5243814243493585, 0.60000000000000009, 0.29999999999999999 },
- { 1.4659345278069984, 0.60000000000000009, 0.40000000000000002 },
- { 1.4135484285693078, 0.60000000000000009, 0.50000000000000000 },
- { 1.3662507535812816, 0.60000000000000009, 0.59999999999999998 },
- { 1.3232737468822811, 0.60000000000000009, 0.69999999999999996 },
- { 1.2840021261752192, 0.60000000000000009, 0.80000000000000004 },
- { 1.2479362973851875, 0.60000000000000009, 0.90000000000000002 },
+ { 1.8508766487100687, 0.60000000000000009, 0.10000000000000001 },
+ { 1.9695980282802217, 0.60000000000000009, 0.20000000000000001 },
+ { 2.1134154405060599, 0.60000000000000009, 0.30000000000000004 },
+ { 2.2925036420985130, 0.60000000000000009, 0.40000000000000002 },
+ { 2.5239007084492711, 0.60000000000000009, 0.50000000000000000 },
+ { 2.8388723099514976, 0.60000000000000009, 0.60000000000000009 },
+ { 3.3029735898397159, 0.60000000000000009, 0.70000000000000007 },
+ { 4.0867036409261832, 0.60000000000000009, 0.80000000000000004 },
+ { 5.8709993116265613, 0.60000000000000009, 0.90000000000000002 },
};
-
-// Test function for k=0.60000000000000009.
-template <typename Tp>
-void test016()
+const double toler016 = 2.5000000000000020e-13;
+
+// Test data for k=0.70000000000000018.
+// max(|f - f_Boost|): 1.7763568394002505e-15 at index 9
+// max(|f - f_Boost| / |f_Boost|): 2.9298727220933567e-16
+// mean(f - f_Boost): 4.8849813083506892e-16
+// variance(f - f_Boost): 2.0476296953421943e-31
+// stddev(f - f_Boost): 4.5250742483877478e-16
+const testcase_comp_ellint_3<double>
+data017[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data016[i].k), Tp(data016[i].nu));
- 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 k=0.69999999999999996.
-testcase_comp_ellint_3<double> data017[] = {
- { 1.8456939983747236, 0.69999999999999996, 0.0000000000000000 },
- { 1.7528050171757608, 0.69999999999999996, 0.10000000000000001 },
- { 1.6721098780092147, 0.69999999999999996, 0.20000000000000001 },
- { 1.6011813647733213, 0.69999999999999996, 0.29999999999999999 },
- { 1.5382162002954762, 0.69999999999999996, 0.40000000000000002 },
- { 1.4818433192178544, 0.69999999999999996, 0.50000000000000000 },
- { 1.4309994736080540, 0.69999999999999996, 0.59999999999999998 },
- { 1.3848459188329196, 0.69999999999999996, 0.69999999999999996 },
- { 1.3427110650397533, 0.69999999999999996, 0.80000000000000004 },
- { 1.3040500499695911, 0.69999999999999996, 0.90000000000000002 },
+ { 1.8456939983747238, 0.70000000000000018, 0.0000000000000000 },
+ { 1.9541347343119566, 0.70000000000000018, 0.10000000000000001 },
+ { 2.0829290325820207, 0.70000000000000018, 0.20000000000000001 },
+ { 2.2392290510988540, 0.70000000000000018, 0.30000000000000004 },
+ { 2.4342502915307880, 0.70000000000000018, 0.40000000000000002 },
+ { 2.6868019968237000, 0.70000000000000018, 0.50000000000000000 },
+ { 3.0314573496746746, 0.70000000000000018, 0.60000000000000009 },
+ { 3.5408408771788569, 0.70000000000000018, 0.70000000000000007 },
+ { 4.4042405729076970, 0.70000000000000018, 0.80000000000000004 },
+ { 6.3796094177887763, 0.70000000000000018, 0.90000000000000002 },
};
-
-// 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data017[i].k), Tp(data017[i].nu));
- 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));
-}
+const double toler017 = 2.5000000000000020e-13;
// Test data for k=0.80000000000000004.
-testcase_comp_ellint_3<double> data018[] = {
- { 1.9953027776647296, 0.80000000000000004, 0.0000000000000000 },
- { 1.8910755418379521, 0.80000000000000004, 0.10000000000000001 },
- { 1.8007226661734588, 0.80000000000000004, 0.20000000000000001 },
- { 1.7214611048717301, 0.80000000000000004, 0.29999999999999999 },
- { 1.6512267838651289, 0.80000000000000004, 0.40000000000000002 },
- { 1.5884528947755532, 0.80000000000000004, 0.50000000000000000 },
- { 1.5319262547427865, 0.80000000000000004, 0.59999999999999998 },
- { 1.4806912324625332, 0.80000000000000004, 0.69999999999999996 },
- { 1.4339837018309474, 0.80000000000000004, 0.80000000000000004 },
- { 1.3911845406776222, 0.80000000000000004, 0.90000000000000002 },
-};
-
-// Test function for k=0.80000000000000004.
-template <typename Tp>
-void test018()
+// max(|f - f_Boost|): 1.7763568394002505e-15 at index 8
+// max(|f - f_Boost| / |f_Boost|): 4.1949393471095187e-16
+// mean(f - f_Boost): 9.5479180117763459e-16
+// variance(f - f_Boost): 5.4782007307014711e-34
+// stddev(f - f_Boost): 2.3405556457178006e-17
+const testcase_comp_ellint_3<double>
+data018[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data018[i].k), Tp(data018[i].nu));
- 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 k=0.89999999999999991.
-testcase_comp_ellint_3<double> data019[] = {
- { 2.2805491384227699, 0.89999999999999991, 0.0000000000000000 },
- { 2.1537868513875282, 0.89999999999999991, 0.10000000000000001 },
- { 2.0443194576468890, 0.89999999999999991, 0.20000000000000001 },
- { 1.9486280260314424, 0.89999999999999991, 0.29999999999999999 },
- { 1.8641114227238347, 0.89999999999999991, 0.40000000000000002 },
- { 1.7888013241937859, 0.89999999999999991, 0.50000000000000000 },
- { 1.7211781128919521, 0.89999999999999991, 0.59999999999999998 },
- { 1.6600480747670936, 0.89999999999999991, 0.69999999999999996 },
- { 1.6044591960982200, 0.89999999999999991, 0.80000000000000004 },
- { 1.5536420236310944, 0.89999999999999991, 0.90000000000000002 },
+ { 1.9953027776647294, 0.80000000000000004, 0.0000000000000000 },
+ { 2.1172616484005085, 0.80000000000000004, 0.10000000000000001 },
+ { 2.2624789434186798, 0.80000000000000004, 0.20000000000000001 },
+ { 2.4392042002725698, 0.80000000000000004, 0.30000000000000004 },
+ { 2.6604037035529728, 0.80000000000000004, 0.40000000000000002 },
+ { 2.9478781158239751, 0.80000000000000004, 0.50000000000000000 },
+ { 3.3418121892288055, 0.80000000000000004, 0.60000000000000009 },
+ { 3.9268876980046397, 0.80000000000000004, 0.70000000000000007 },
+ { 4.9246422058196071, 0.80000000000000004, 0.80000000000000004 },
+ { 7.2263259298637132, 0.80000000000000004, 0.90000000000000002 },
};
-
-// Test function for k=0.89999999999999991.
-template <typename Tp>
-void test019()
+const double toler018 = 2.5000000000000020e-13;
+
+// Test data for k=0.90000000000000013.
+// max(|f - f_Boost|): 4.4408920985006262e-16 at index 3
+// max(|f - f_Boost| / |f_Boost|): 1.5716352001310461e-16
+// mean(f - f_Boost): 4.4408920985006264e-17
+// variance(f - f_Boost): 2.4347558803117648e-34
+// stddev(f - f_Boost): 1.5603704304785339e-17
+const testcase_comp_ellint_3<double>
+data019[10] =
{
- 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_comp_ellint_3<double>);
- for (unsigned int i = 0; i < num_datum; ++i)
- {
- const Tp f = std::tr1::comp_ellint_3(Tp(data019[i].k), Tp(data019[i].nu));
- 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));
-}
+ { 2.2805491384227707, 0.90000000000000013, 0.0000000000000000 },
+ { 2.4295011187834890, 0.90000000000000013, 0.10000000000000001 },
+ { 2.6076835743348421, 0.90000000000000013, 0.20000000000000001 },
+ { 2.8256506968858521, 0.90000000000000013, 0.30000000000000004 },
+ { 3.1000689868578628, 0.90000000000000013, 0.40000000000000002 },
+ { 3.4591069002104686, 0.90000000000000013, 0.50000000000000000 },
+ { 3.9549939883570242, 0.90000000000000013, 0.60000000000000009 },
+ { 4.6985482312992453, 0.90000000000000013, 0.70000000000000007 },
+ { 5.9820740813645727, 0.90000000000000013, 0.80000000000000004 },
+ { 8.9942562031858735, 0.90000000000000013, 0.90000000000000002 },
+};
+const double toler019 = 2.5000000000000020e-13;
+
+template<typename Ret, unsigned int Num>
+ void
+ test(const testcase_comp_ellint_3<Ret> (&data)[Num], Ret toler)
+ {
+ bool test __attribute__((unused)) = true;
+ const Ret eps = std::numeric_limits<Ret>::epsilon();
+ Ret max_abs_diff = -Ret(1);
+ Ret max_abs_frac = -Ret(1);
+ unsigned int num_datum = Num;
+ for (unsigned int i = 0; i < num_datum; ++i)
+ {
+ const Ret f = std::tr1::comp_ellint_3(data[i].k, data[i].nu);
+ const Ret f0 = data[i].f0;
+ const Ret diff = f - f0;
+ if (std::abs(diff) > max_abs_diff)
+ max_abs_diff = std::abs(diff);
+ if (std::abs(f0) > Ret(10) * eps
+ && std::abs(f) > Ret(10) * eps)
+ {
+ const Ret frac = diff / f0;
+ if (std::abs(frac) > max_abs_frac)
+ max_abs_frac = std::abs(frac);
+ }
+ }
+ VERIFY(max_abs_frac < toler);
+ }
-int main(int, char**)
+int
+main()
{
- 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>();
+ test(data001, toler001);
+ test(data002, toler002);
+ test(data003, toler003);
+ test(data004, toler004);
+ test(data005, toler005);
+ test(data006, toler006);
+ test(data007, toler007);
+ test(data008, toler008);
+ test(data009, toler009);
+ test(data010, toler010);
+ test(data011, toler011);
+ test(data012, toler012);
+ test(data013, toler013);
+ test(data014, toler014);
+ test(data015, toler015);
+ test(data016, toler016);
+ test(data017, toler017);
+ test(data018, toler018);
+ test(data019, toler019);
return 0;
}
generated by cgit v1.2.3 (git 2.25.1) at 2024-05-27 10:21:37 +0000