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git-subtree-dir: boost
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Bill Somerville
2018-06-09 21:48:32 +01:00
commit 4ebe6417a5
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libs/math/test/float128/log1p_expm1_test.cpp
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///////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2002 - 2011.
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
#include "setup.hpp"
#include <boost/math/special_functions/log1p.hpp>
#include <boost/math/special_functions/expm1.hpp>
#include "table_type.hpp"
#include "libs/math/test/log1p_expm1_test.hpp"
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the functions log1p and expm1. The accuracy tests
// use values generated with NTL::RR at 1000-bit precision
// and our generic versions of these functions.
//
// Note that when this file is first run on a new platform many of
// these tests will fail: the default accuracy is 1 epsilon which
// is too tight for most platforms. In this situation you will
// need to cast a human eye over the error rates reported and make
// a judgement as to whether they are acceptable. Either way please
// report the results to the Boost mailing list. Acceptable rates of
// error are marked up below as a series of regular expressions that
// identify the compiler/stdlib/platform/data-type/test-data/test-function
// along with the maximum expected peek and RMS mean errors for that
// test.
//
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
//
// Catch all cases come last:
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", // test function
8, // Max Peek error
5); // Max mean error
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
//
// Test at:
// 18 decimal digits: tests 80-bit long double approximations
// 30 decimal digits: tests 128-bit long double approximations
// 35 decimal digits: tests arbitrary precision code
//
ALL_TESTS
}
libs/math/test/float128/powm1_sqrtp1m1_test.cpp
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///////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2002 - 2011.
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
#include "setup.hpp"
#include <boost/test/floating_point_comparison.hpp>
#include <boost/math/special_functions/powm1.hpp>
#include <boost/math/special_functions/sqrt1pm1.hpp>
#include "table_type.hpp"
#include "libs/math/test/powm1_sqrtp1m1_test.hpp"
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the functions log1p and expm1. The accuracy tests
// use values generated with NTL::RR at 1000-bit precision
// and our generic versions of these functions.
//
// Note that when this file is first run on a new platform many of
// these tests will fail: the default accuracy is 1 epsilon which
// is too tight for most platforms. In this situation you will
// need to cast a human eye over the error rates reported and make
// a judgement as to whether they are acceptable. Either way please
// report the results to the Boost mailing list. Acceptable rates of
// error are marked up below as a series of regular expressions that
// identify the compiler/stdlib/platform/data-type/test-data/test-function
// along with the maximum expected peek and RMS mean errors for that
// test.
//
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
//
// Catch all cases come last:
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", // test function
15, // Max Peek error
5); // Max mean error
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_powm1_sqrtp1m1(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/setup.hpp
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// Copyright 2014 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#ifndef BOOST_MP_MATH_SETUP_HPP
#define BOOST_MP_MATH_SETUP_HPP
#ifdef _MSC_VER
# define _SCL_SECURE_NO_WARNINGS
#endif
#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
#include <boost/cstdfloat.hpp>
#include <boost/static_assert.hpp>
#define ALL_TESTS test(boost::floatmax_t(0), "boost::floatmax_t");
typedef boost::floatmax_t test_type_1;
BOOST_STATIC_ASSERT_MSG(std::numeric_limits<boost::floatmax_t>::digits == 113, "These tests should only be run for 128-bit floating point types.");
#ifndef BOOST_MATH_TEST_TYPE
#define BOOST_TEST_MAIN
#include <boost/test/unit_test.hpp>
#include <boost/test/floating_point_comparison.hpp>
#endif
#endif
libs/math/test/float128/table_type.hpp
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///////////////////////////////////////////////////////////////
// Copyright 2012 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#ifndef BOOST_MP_TABLE_TYPE
#include <libs/math/test/table_type.hpp>
#define SC_(x) BOOST_FLOATMAX_C(x)
#endif
libs/math/test/float128/test_bessel_i.cpp
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///////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2002 - 2011.
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/bessel.hpp>
#include "libs/math/test/test_bessel_i.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
//
// Catch all cases come last:
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", // test function
500, // Max Peek error
200); // Max mean error
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_bessel(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_bessel_j.cpp
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///////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2002 - 2011.
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/bessel.hpp>
#include "libs/math/test/test_bessel_j.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*J0.*Tricky.*", // test data group
".*", 400000000, 400000000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*J1.*Tricky.*", // test data group
".*", 10000000, 5000000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*JN.*Integer.*", // test data group
".*", 50000, 15000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*(JN|j).*|.*Tricky.*", // test data group
".*", 7000, 3000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 40, 20); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_bessel(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_bessel_k.cpp
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///////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2002 - 2011.
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/bessel.hpp>
#include "libs/math/test/test_bessel_k.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*large.*", // test data group
".*", 80, 50); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 1000, 500); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_bessel(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_bessel_y.cpp
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///////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2002 - 2011.
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/bessel.hpp>
#include "libs/math/test/test_bessel_y.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*(Y[nv]|y).*Random.*", // test data group
".*", 70000, 4000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*Y0.*", // test data group
".*", 800, 400); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*Yn.*", // test data group
".*", 1700, 600); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 150, 60); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_bessel(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_beta.cpp
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///////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2002 - 2011.
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/beta.hpp>
#include "libs/math/test/test_beta.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
"Beta Function: Small.*", // test data group
"beta", 8, 5); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
"Beta Function: Medium.*", // test data group
"beta", 1000, 750); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
"Beta Function: Divergent.*", // test data group
"beta", 1000, 700); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_beta(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_binomial_coeff.cpp
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///////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2002 - 2011.
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/binomial.hpp>
#include "libs/math/test/test_binomial_coeff.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 100, 20); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_binomial(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_carlson.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/ellint_rc.hpp>
#include <boost/math/special_functions/ellint_rd.hpp>
#include <boost/math/special_functions/ellint_rf.hpp>
#include <boost/math/special_functions/ellint_rj.hpp>
#include <boost/math/special_functions/ellint_rg.hpp>
#include "libs/math/test/test_carlson.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*RJ.*", // test data group
".*", 2700, 250); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 40, 20); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_spots(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_cbrt.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/cbrt.hpp>
#include "libs/math/test/test_cbrt.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 5, 3); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_cbrt(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_digamma.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/digamma.hpp>
#include "libs/math/test/test_digamma.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*negative.*", // test data group
".*", 400, 200); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 2, 2); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_digamma(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_ellint_1.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/ellint_1.hpp>
#include "libs/math/test/test_ellint_1.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 40, 20); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_spots(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_ellint_2.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/ellint_2.hpp>
#include "libs/math/test/test_ellint_2.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 300, 200); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_spots(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_ellint_3.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/ellint_3.hpp>
#include "libs/math/test/test_ellint_3.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*Large.*", // test data group
".*", 75, 40); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*Mathworld.*", // test data group
".*", 600, 200); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 60, 30); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_spots(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_erf.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#define TEST_UDT
#include <boost/math/special_functions/erf.hpp>
#include "libs/math/test/test_erf.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
"Erf Function:.*", // test data group
"erfc?", 2500, 1000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
"Inverse Erf.*", // test data group
"erfc?_inv", 60, 20); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_erf(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
//
// Test at:
// 18 decimal digits: tests 80-bit long double approximations
// 30 decimal digits: tests 128-bit long double approximations
// 35 decimal digits: tests arbitrary precision code
//
ALL_TESTS
}
libs/math/test/float128/test_expint.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/expint.hpp>
#include "libs/math/test/test_expint.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 5000, 2000); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_expint(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_factorials.cpp
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// Copyright John Maddock 2006.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#ifdef _MSC_VER
# pragma warning(disable: 4127) // conditional expression is constant.
# pragma warning(disable: 4245) // int/unsigned int conversion
#endif
// Return infinities not exceptions:
#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
#include <boost/cstdfloat.hpp>
#define BOOST_TEST_MAIN
#include <boost/test/unit_test.hpp>
#include <boost/test/floating_point_comparison.hpp>
#include <boost/math/special_functions/factorials.hpp>
#include <boost/math/special_functions/gamma.hpp>
#include <boost/math/tools/stats.hpp>
#include <boost/math/tools/test.hpp>
#include <iostream>
using std::cout;
using std::endl;
template <class T>
T naive_falling_factorial(T x, unsigned n)
{
if(n == 0)
return 1;
T result = x;
while(--n)
{
x -= 1;
result *= x;
}
return result;
}
template <class T>
void test_spots(T)
{
//
// Basic sanity checks.
//
T tolerance = boost::math::tools::epsilon<T>() * 100 * 2; // 2 eps as a percent.
BOOST_CHECK_CLOSE(
::boost::math::factorial<T>(0),
static_cast<T>(1), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::factorial<T>(1),
static_cast<T>(1), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::factorial<T>(10),
static_cast<T>(3628800L), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::unchecked_factorial<T>(0),
static_cast<T>(1), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::unchecked_factorial<T>(1),
static_cast<T>(1), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::unchecked_factorial<T>(10),
static_cast<T>(3628800L), tolerance);
//
// Try some double factorials:
//
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(0),
static_cast<T>(1), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(1),
static_cast<T>(1), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(2),
static_cast<T>(2), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(5),
static_cast<T>(15), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(10),
static_cast<T>(3840), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(19),
static_cast<T>(6.547290750e8Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(24),
static_cast<T>(1.961990553600000e12Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(33),
static_cast<T>(6.33265987076285062500000e18Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(42),
static_cast<T>(1.0714547155728479551488000000e26Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::double_factorial<T>(47),
static_cast<T>(1.19256819277443412353990764062500000e30Q), tolerance);
if((std::numeric_limits<T>::has_infinity) && (std::numeric_limits<T>::max_exponent <= 1024))
{
BOOST_CHECK_EQUAL(
::boost::math::double_factorial<T>(320),
std::numeric_limits<T>::infinity());
BOOST_CHECK_EQUAL(
::boost::math::double_factorial<T>(301),
std::numeric_limits<T>::infinity());
}
//
// Rising factorials:
//
tolerance = boost::math::tools::epsilon<T>() * 100 * 20; // 20 eps as a percent.
if(std::numeric_limits<T>::is_specialized == 0)
tolerance *= 5; // higher error rates without Lanczos support
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(3), 4),
static_cast<T>(360), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(7), -4),
static_cast<T>(0.00277777777777777777777777777777777777777777777777777777777778Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(120.5f), 8),
static_cast<T>(5.58187566784927180664062500e16Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(120.5f), -4),
static_cast<T>(5.15881498170104646868208445266116850161120996179812063177241e-9Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(5000.25f), 8),
static_cast<T>(3.92974581976666067544013393509103775024414062500000e29Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(5000.25f), -7),
static_cast<T>(1.28674092710208810281923019294164707555099052561945725535047e-26Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(30.25), 21),
static_cast<T>(3.93286957998925490693364184100209193343633629069699964020401e33Q), tolerance * 2);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(30.25), -21),
static_cast<T>(3.35010902064291983728782493133164809108646650368560147505884e-27Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-30.25), 21),
static_cast<T>(-9.76168312768123676601980433377916854311706629232503473758698e26Q), tolerance * 2);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-30.25), -21),
static_cast<T>(-1.50079704000923674318934280259377728203516775215430875839823e-34Q), 2 * tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-30.25), 5),
static_cast<T>(-1.78799177197265625000000e7Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-30.25), -5),
static_cast<T>(-2.47177487004482195012362027432181137141899692171397467859150e-8Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-30.25), 6),
static_cast<T>(4.5146792242309570312500000e8Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-30.25), -6),
static_cast<T>(6.81868929667537089689274558433603136943171564610751635473516e-10Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-3), 6),
static_cast<T>(0), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-3.25), 6),
static_cast<T>(2.99926757812500Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-5.25), 6),
static_cast<T>(50.987548828125000000000000Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-5.25), 13),
static_cast<T>(127230.91046623885631561279296875000Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-3.25), -6),
static_cast<T>(0.0000129609865918182348202632178291407500332449622510474437452125Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-5.25), -6),
static_cast<T>(2.50789821857946332294524052303699065683926911849535903362649e-6Q), tolerance);
BOOST_CHECK_CLOSE(
::boost::math::rising_factorial(static_cast<T>(-5.25), -13),
static_cast<T>(-1.38984989447269128946284683518361786049649013886981662962096e-14Q), tolerance);
//
// Falling factorials:
//
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(30.25), 0),
static_cast<T>(naive_falling_factorial(30.25Q, 0)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(30.25), 1),
static_cast<T>(naive_falling_factorial(30.25Q, 1)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(30.25), 2),
static_cast<T>(naive_falling_factorial(30.25Q, 2)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(30.25), 5),
static_cast<T>(naive_falling_factorial(30.25Q, 5)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(30.25), 22),
static_cast<T>(naive_falling_factorial(30.25Q, 22)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(100.5), 6),
static_cast<T>(naive_falling_factorial(100.5Q, 6)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(30.75), 30),
static_cast<T>(naive_falling_factorial(30.75Q, 30)),
tolerance * 3);
if(boost::math::policies::digits<T, boost::math::policies::policy<> >() > 50)
{
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(-30.75Q), 30),
static_cast<T>(naive_falling_factorial(-30.75Q, 30)),
tolerance * 3);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(-30.75Q), 27),
static_cast<T>(naive_falling_factorial(-30.75Q, 27)),
tolerance * 3);
}
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(-12.0), 6),
static_cast<T>(naive_falling_factorial(-12.0Q, 6)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(-12), 5),
static_cast<T>(naive_falling_factorial(-12.0Q, 5)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(-3.0), 6),
static_cast<T>(naive_falling_factorial(-3.0Q, 6)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(-3), 5),
static_cast<T>(naive_falling_factorial(-3.0Q, 5)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(3.0), 6),
static_cast<T>(naive_falling_factorial(3.0Q, 6)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(3), 5),
static_cast<T>(naive_falling_factorial(3.0Q, 5)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(3.25), 4),
static_cast<T>(naive_falling_factorial(3.25Q, 4)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(3.25), 5),
static_cast<T>(naive_falling_factorial(3.25Q, 5)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(3.25), 6),
static_cast<T>(naive_falling_factorial(3.25Q, 6)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(3.25), 7),
static_cast<T>(naive_falling_factorial(3.25Q, 7)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::falling_factorial(static_cast<T>(8.25), 12),
static_cast<T>(naive_falling_factorial(8.25Q, 12)),
tolerance);
tolerance = boost::math::tools::epsilon<T>() * 100 * 20; // 20 eps as a percent.
unsigned i = boost::math::max_factorial<T>::value;
if((boost::is_floating_point<T>::value) && (sizeof(T) <= sizeof(double)))
{
// Without Lanczos support, tgamma isn't accurate enough for this test:
BOOST_CHECK_CLOSE(
::boost::math::unchecked_factorial<T>(i),
boost::math::tgamma(static_cast<T>(i+1)), tolerance);
}
i += 10;
while(boost::math::lgamma(static_cast<T>(i+1)) < boost::math::tools::log_max_value<T>())
{
BOOST_CHECK_CLOSE(
::boost::math::factorial<T>(i),
boost::math::tgamma(static_cast<T>(i+1)), tolerance);
i += 10;
}
} // template <class T> void test_spots(T)
BOOST_AUTO_TEST_CASE( test_main )
{
BOOST_MATH_CONTROL_FP;
test_spots(0.0Q);
cout << "max factorial for __float128" << boost::math::max_factorial<boost::floatmax_t>::value << endl;
}
libs/math/test/float128/test_gamma.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/gamma.hpp>
#include "libs/math/test/test_gamma.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
"near.*", // test data group
"tgamma", 200, 100); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
"near.*", // test data group
"lgamma", 10000000, 10000000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
"tgamma1pm1.*", // test data group
"tgamma1pm1", 1000, 150); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
"tgamma", 40, 20); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_gamma(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_hermite.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/hermite.hpp>
#include "libs/math/test/test_hermite.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
"hermite", 10, 5); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_hermite(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_ibeta.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/beta.hpp>
#include "libs/math/test/test_ibeta.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
".*", // test type(s)
"(?i).*small.*", // test data group
".*", 90, 25); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
".*", // test type(s)
"(?i).*medium.*", // test data group
".*", 150, 50); // test function
add_expected_result(
"[^|]*", // compiler
"[^|]*", // stdlib
"[^|]*", // platform
".*", // test type(s)
"(?i).*large.*", // test data group
".*", 150000, 5000); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_beta(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_ibeta_inv_1.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/beta.hpp>
#include "libs/math/test/test_ibeta_inv.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 1000000, 100000); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_beta(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_ibeta_inv_ab_4.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#define TEST_UDT
#define TEST_DATA 4
#define FULL_TEST
#include <boost/math/special_functions/beta.hpp>
#include "libs/math/test/test_ibeta_inv_ab.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 10000, 1000); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_beta(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
//
// Test at:
// 18 decimal digits: tests 80-bit long double approximations
// 30 decimal digits: tests 128-bit long double approximations
// 35 decimal digits: tests arbitrary precision code
//
ALL_TESTS
}
libs/math/test/float128/test_igamma.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/gamma.hpp>
#include "libs/math/test/test_igamma.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*large.*", // test data group
".*", 20000000L, 1000000L); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 7000, 2000); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_gamma(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_igamma_inv.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/gamma.hpp>
#include "libs/math/test/test_igamma_inv.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*small.*", // test data group
".*", 10000000L, 2500000L); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 7000, 2000); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_gamma(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_igamma_inva.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/gamma.hpp>
#include "libs/math/test/test_igamma_inva.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 7000, 2000); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_gamma(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_laguerre.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/laguerre.hpp>
#include "libs/math/test/test_laguerre.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 7000, 500); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_laguerre(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_legendre.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/legendre.hpp>
#include "libs/math/test/test_legendre.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 6000, 500); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_legendre_p(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_polygamma.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/polygamma.hpp>
#include "libs/math/test/test_polygamma.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*bug cases.*", // test data group
".*", 100000, 40000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 700, 400); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_polygamma(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_std_lib.cpp
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// Copyright John Maddock 2014.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#include <boost/cstdfloat.hpp>
#define BOOST_TEST_MAIN
#include <boost/test/unit_test.hpp>
#include <boost/test/floating_point_comparison.hpp>
#include <iostream>
BOOST_AUTO_TEST_CASE( test_main )
{
//
// Basic tests that the functions which provide std lib supported are correctly wrapped:
//
boost::float128_t tol = std::numeric_limits<boost::float128_t>::epsilon() * 4;
boost::float128_t pi = BOOST_FLOAT128_C(3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211);
BOOST_CHECK_EQUAL(std::abs(BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(2.0));
BOOST_CHECK_EQUAL(std::abs(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(2.0));
BOOST_CHECK_EQUAL(std::fabs(BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(2.0));
BOOST_CHECK_EQUAL(std::fabs(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(2.0));
BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(0.25)), BOOST_FLOAT128_C(1.31811607165281796574566425464604046984639096659071471685355), tol);
BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(-0.25)), BOOST_FLOAT128_C(1.82347658193697527271697912863346241435077843278439110412140), tol);
BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(0.75)), BOOST_FLOAT128_C(0.722734247813415611178377352641333362025218486424440267626754), tol);
BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(-0.75)), BOOST_FLOAT128_C(2.41885840577637762728426603063816952217195091295066555334819), tol);
BOOST_CHECK_EQUAL(std::acos(BOOST_FLOAT128_C(1.0)), 0);
BOOST_CHECK_CLOSE_FRACTION(std::acos(BOOST_FLOAT128_C(0.0)), BOOST_FLOAT128_C(1.57079632679489661923132169163975144209858469968755291048747), tol);
BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(0.25)), BOOST_FLOAT128_C(0.25268025514207865348565743699371097225219373309683819363392), tol);
BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(-0.25)), BOOST_FLOAT128_C(-0.252680255142078653485657436993710972252193733096838193633924), tol);
BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(0.75)), BOOST_FLOAT128_C(0.848062078981481008052944338998418080073366213263112642860718), tol);
BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(-0.75)), BOOST_FLOAT128_C(-0.848062078981481008052944338998418080073366213263112642860718), tol);
BOOST_CHECK_EQUAL(std::asin(BOOST_FLOAT128_C(0.0)), 0);
BOOST_CHECK_CLOSE_FRACTION(std::asin(BOOST_FLOAT128_C(1.0)), BOOST_FLOAT128_C(1.57079632679489661923132169163975144209858469968755291048747), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(0.25)), BOOST_FLOAT128_C(0.244978663126864154172082481211275810914144098381184067127376), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(-0.25)), BOOST_FLOAT128_C(-0.244978663126864154172082481211275810914144098381184067127376), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(1.25)), BOOST_FLOAT128_C(0.896055384571343956174800718029937827024578444846840487366551), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(-1.25)), BOOST_FLOAT128_C(-0.896055384571343956174800718029937827024578444846840487366551), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(10.25)), BOOST_FLOAT128_C(1.47354312854333084551799286825415639734160148773878671550090), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan(BOOST_FLOAT128_C(-10.25)), BOOST_FLOAT128_C(-1.47354312854333084551799286825415639734160148773878671550090), tol);
BOOST_CHECK_EQUAL(std::atan(BOOST_FLOAT128_C(0.0)), 0);
BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(0.5), BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(0.244978663126864154172082481211275810914144098381184067127376), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(-0.5), BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(-0.244978663126864154172082481211275810914144098381184067127376), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(0.5), BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(-0.244978663126864154172082481211275810914144098381184067127376) + pi, tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(-0.5), BOOST_FLOAT128_C(-2.0)), BOOST_FLOAT128_C(0.244978663126864154172082481211275810914144098381184067127376) - pi, tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(2.0), BOOST_FLOAT128_C(0.0)), pi / 2, tol);
BOOST_CHECK_CLOSE_FRACTION(std::atan2(BOOST_FLOAT128_C(-2.0), BOOST_FLOAT128_C(0.0)), -pi / 2, tol);
BOOST_CHECK_EQUAL(std::atan2(BOOST_FLOAT128_C(0.0), BOOST_FLOAT128_C(0.0)), BOOST_FLOAT128_C(0.0));
BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.479425538604203000273287935215571388081803367940600675188617), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.479425538604203000273287935215571388081803367940600675188617), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.997494986604054430941723371141487322706651425922115821949975), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-0.997494986604054430941723371141487322706651425922115821949975), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(-0.350783227689619848120368800043635585084981735940583485415755), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sin(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(0.350783227689619848120368800043635585084981735940583485415755), tol);
BOOST_CHECK_EQUAL(std::sin(BOOST_FLOAT128_C(0.0)), 0);
BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.877582561890372716116281582603829651991645197109744052997611), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(0.877582561890372716116281582603829651991645197109744052997611), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.0707372016677029100881898514342687090850910275633468694226454), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(0.0707372016677029100881898514342687090850910275633468694226454), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(-0.936456687290796337698657626671760463019957765781959251620988), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cos(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-0.936456687290796337698657626671760463019957765781959251620988), tol);
BOOST_CHECK_EQUAL(std::cos(BOOST_FLOAT128_C(0.0)), 1.0);
BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.546302489843790513255179465780285383297551720179791246164091), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.546302489843790513255179465780285383297551720179791246164091), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(14.1014199471717193876460836519877564456595435772358618661233), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-14.1014199471717193876460836519877564456595435772358618661233), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(0.374585640158594666330512579989147388450882284289259230693023), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tan(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-0.374585640158594666330512579989147388450882284289259230693023), tol);
BOOST_CHECK_EQUAL(std::tan(BOOST_FLOAT128_C(0.0)), 0.0);
BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.521095305493747361622425626411491559105928982611480527946094), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.521095305493747361622425626411491559105928982611480527946094), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(2.12927945509481749683438749467763164883178911950429386401441), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-2.12927945509481749683438749467763164883178911950429386401441), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(16.5426272876349976249567315290124982237000338471151419910948), tol);
BOOST_CHECK_CLOSE_FRACTION(std::sinh(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-16.5426272876349976249567315290124982237000338471151419910948), tol);
BOOST_CHECK_EQUAL(std::sinh(BOOST_FLOAT128_C(0.0)), 0);
BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(1.12762596520638078522622516140267201254784711809866748362899), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(1.12762596520638078522622516140267201254784711809866748362899), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(2.35240961524324732576766796544164417017396074886537319275824), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(2.35240961524324732576766796544164417017396074886537319275824), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(16.5728246710573161256965178213761180687716943793627989977661), tol);
BOOST_CHECK_CLOSE_FRACTION(std::cosh(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(16.5728246710573161256965178213761180687716943793627989977661), tol);
BOOST_CHECK_EQUAL(std::cosh(BOOST_FLOAT128_C(0.0)), 1.0);
BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.462117157260009758502318483643672548730289280330113038552732), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.462117157260009758502318483643672548730289280330113038552732), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.905148253644866438242303696456495597227641135158781798564224), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-0.905148253644866438242303696456495597227641135158781798564224), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(3.5)), BOOST_FLOAT128_C(0.998177897611198709284273352450611717351703879477362867150362), tol);
BOOST_CHECK_CLOSE_FRACTION(std::tanh(BOOST_FLOAT128_C(-3.5)), BOOST_FLOAT128_C(-0.998177897611198709284273352450611717351703879477362867150362), tol);
BOOST_CHECK_EQUAL(std::tanh(BOOST_FLOAT128_C(0.0)), 0.0);
BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.481211825059603447497758913424368423135184334385660519661018), tol);
BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.481211825059603447497758913424368423135184334385660519661018), tol);
BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(1.19476321728710930411193082851909052353616207515300542927068), tol);
BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(-1.5)), BOOST_FLOAT128_C(-1.19476321728710930411193082851909052353616207515300542927068), tol);
BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(30.5)), BOOST_FLOAT128_C(4.11114250086321582491802557961818852029252495243356752882371), tol);
BOOST_CHECK_CLOSE_FRACTION(std::asinh(BOOST_FLOAT128_C(-30.5)), BOOST_FLOAT128_C(-4.11114250086321582491802557961818852029252495243356752882371), tol * 40); // extra tolerance required on Mingw-x64 at least
BOOST_CHECK_EQUAL(std::asinh(BOOST_FLOAT128_C(0.0)), 0);
BOOST_CHECK_CLOSE_FRACTION(std::acosh(BOOST_FLOAT128_C(1.5)), BOOST_FLOAT128_C(0.962423650119206894995517826848736846270368668771321039322036), tol);
BOOST_CHECK_CLOSE_FRACTION(std::acosh(BOOST_FLOAT128_C(30.5)), BOOST_FLOAT128_C(4.11060501081175314729512161636335880294693070089674383785623), tol);
BOOST_CHECK_CLOSE_FRACTION(std::acosh(BOOST_FLOAT128_C(3000.5)), BOOST_FLOAT128_C(8.69968137322099085819002231042463682720224626990472395734493), tol);
BOOST_CHECK_EQUAL(std::acosh(BOOST_FLOAT128_C(1.0)), 0.0);
BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(0.5)), BOOST_FLOAT128_C(0.549306144334054845697622618461262852323745278911374725867347), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(-0.5)), BOOST_FLOAT128_C(-0.549306144334054845697622618461262852323745278911374725867347), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(0.75)), BOOST_FLOAT128_C(0.972955074527656652552676371721589864818542364790930594229695), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(-0.75)), BOOST_FLOAT128_C(-0.972955074527656652552676371721589864818542364790930594229695), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(0.125)), BOOST_FLOAT128_C(0.125657214140453038842568865200935839828948193031818857504999), tol);
BOOST_CHECK_CLOSE_FRACTION(std::atanh(BOOST_FLOAT128_C(-0.125)), BOOST_FLOAT128_C(-0.125657214140453038842568865200935839828948193031818857504999), tol);
BOOST_CHECK_EQUAL(std::atanh(BOOST_FLOAT128_C(0.0)), 0.0);
BOOST_CHECK_EQUAL(std::ldexp(BOOST_FLOATMAX_C(2.5), 2), 2.5 * 4);
int i;
BOOST_CHECK_EQUAL(std::frexp(BOOST_FLOATMAX_C(16.0), &i), BOOST_FLOATMAX_C(0.5));
BOOST_CHECK_EQUAL(std::floor(BOOST_FLOATMAX_C(2.5)), 2);
BOOST_CHECK_EQUAL(std::floor(BOOST_FLOATMAX_C(-2.5)), -3);
BOOST_CHECK_EQUAL(std::ceil(BOOST_FLOATMAX_C(2.5)), 3);
BOOST_CHECK_EQUAL(std::ceil(BOOST_FLOATMAX_C(-2.5)), -2);
BOOST_CHECK_EQUAL(std::trunc(BOOST_FLOATMAX_C(2.5)), 2);
BOOST_CHECK_EQUAL(std::trunc(BOOST_FLOATMAX_C(-2.5)), -2);
BOOST_CHECK_CLOSE_FRACTION(std::sqrt(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(1.41421356237309504880168872420969807856967187537694807317668), tol);
BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(7.38905609893065022723042746057500781318031557055184732408713), tol);
BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(2000.0)), BOOST_FLOAT128_C(3.88118019428436857648232207537185146709138266970427068956343e868), tol * 500);
BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(-2.0)), 1 / BOOST_FLOAT128_C(7.38905609893065022723042746057500781318031557055184732408713), tol);
BOOST_CHECK_CLOSE_FRACTION(std::exp(BOOST_FLOAT128_C(-2000.0)), 1 / BOOST_FLOAT128_C(3.88118019428436857648232207537185146709138266970427068956343e868), tol * 500);
BOOST_CHECK_CLOSE_FRACTION(std::pow(BOOST_FLOAT128_C(2.5), BOOST_FLOAT128_C(2.5)), BOOST_FLOAT128_C(9.88211768802618541249654232635224541787360981039130258392970), tol);
BOOST_CHECK_CLOSE_FRACTION(std::pow(BOOST_FLOAT128_C(2.5), -BOOST_FLOAT128_C(2.5)), 1 / BOOST_FLOAT128_C(9.88211768802618541249654232635224541787360981039130258392970), tol);
BOOST_CHECK_CLOSE_FRACTION(std::log(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(0.693147180559945309417232121458176568075500134360255254120680), tol);
BOOST_CHECK_CLOSE_FRACTION(std::log(BOOST_FLOAT128_C(2000.0)), BOOST_FLOAT128_C(7.60090245954208236147120648551126919087880460024657418222066), tol);
BOOST_CHECK_CLOSE_FRACTION(std::log10(BOOST_FLOAT128_C(2.0)), BOOST_FLOAT128_C(0.301029995663981195213738894724493026768189881462108541310427), tol);
BOOST_CHECK_CLOSE_FRACTION(std::log10(BOOST_FLOAT128_C(2000.0)), BOOST_FLOAT128_C(3.30102999566398119521373889472449302676818988146210854131043), tol);
BOOST_CHECK_EQUAL(std::fmod(BOOST_FLOATMAX_C(20.0), BOOST_FLOATMAX_C(7.0)), BOOST_FLOATMAX_C(6.0));
BOOST_CHECK_EQUAL(std::fmod(-BOOST_FLOATMAX_C(20.0), BOOST_FLOATMAX_C(7.0)), -BOOST_FLOATMAX_C(6.0));
BOOST_CHECK_EQUAL(std::fmod(BOOST_FLOATMAX_C(20.0), -BOOST_FLOATMAX_C(7.0)), BOOST_FLOATMAX_C(6.0));
BOOST_CHECK_EQUAL(std::fmod(-BOOST_FLOATMAX_C(20.0), -BOOST_FLOATMAX_C(7.0)), -BOOST_FLOATMAX_C(6.0));
//
// Basic tests of complex number support:
//
std::complex<boost::floatmax_t> cm(2.5, 3.5);
std::complex<double> cd(2.5, 3.5);
BOOST_CHECK_EQUAL(real(cm), BOOST_FLOATMAX_C(2.5));
BOOST_CHECK_EQUAL(imag(cm), BOOST_FLOATMAX_C(3.5));
BOOST_CHECK_CLOSE_FRACTION(abs(cm), std::sqrt(real(cm) * real(cm) + imag(cm) * imag(cm)), tol);
BOOST_CHECK_CLOSE_FRACTION(arg(cm), std::atan2(imag(cm), real(cm)), tol);
BOOST_CHECK_EQUAL(norm(cm), norm(cd));
BOOST_CHECK_EQUAL(conj(cm), std::complex<boost::floatmax_t>(2.5, -3.5));
BOOST_CHECK_EQUAL(proj(cm), cm);
if (std::numeric_limits<boost::floatmax_t>::has_infinity)
{
boost::floatmax_t m = (std::numeric_limits<boost::floatmax_t>::max)();
boost::floatmax_t n = (std::numeric_limits<boost::floatmax_t>::quiet_NaN)();
boost::floatmax_t i = std::numeric_limits<boost::floatmax_t>::infinity();
std::complex<boost::floatmax_t> ci(i, 0);
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(i, 2.5)), ci);
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(i, -2.5)), std::conj(ci));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-i, 2.5)), ci);
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-i, -2.5)), std::conj(ci));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, i)), ci);
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, i)), ci);
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, -i)), std::conj(ci));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, -i)), std::conj(ci));
// If there's a NaN and an infinity, then we treat it as an infinity:
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(i, n)), ci);
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-i, n)), ci);
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(n, i)), ci);
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(n, -i)), std::conj(ci));
// Maximum values should not be detected as infinities:
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(m, 2.5)), std::complex<boost::floatmax_t>(m, 2.5));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(m, -2.5)), std::complex<boost::floatmax_t>(m, -2.5));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-m, 2.5)), std::complex<boost::floatmax_t>(-m, 2.5));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-m, -2.5)), std::complex<boost::floatmax_t>(-m, -2.5));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, m)), std::complex<boost::floatmax_t>(2.5, m));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, m)), std::complex<boost::floatmax_t>(-2.5, m));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(2.5, -m)), std::complex<boost::floatmax_t>(2.5, -m));
BOOST_CHECK_EQUAL(proj(std::complex<boost::floatmax_t>(-2.5, -m)), std::complex<boost::floatmax_t>(-2.5, -m));
}
BOOST_CHECK_CLOSE_FRACTION(real(cm), real(std::polar(abs(cm), arg(cm))), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(cm), imag(std::polar(abs(cm), arg(cm))), tol);
BOOST_CHECK_CLOSE_FRACTION(real(sqrt(cm)), BOOST_FLOATMAX_C(1.84406651636014927478967924702313083926924795108746617689331), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(sqrt(cm)), BOOST_FLOATMAX_C(0.94898962942734874384477674565646902214428238312030745589860), tol);
BOOST_CHECK_CLOSE_FRACTION(real(sin(cm)), BOOST_FLOATMAX_C(9.9183739147466194779705692590714075536609528502804512321829), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(sin(cm)), BOOST_FLOATMAX_C(-13.2530202358612673933065316490414418905222985108088743924151), tol);
BOOST_CHECK_CLOSE_FRACTION(real(cos(cm)), BOOST_FLOATMAX_C(-13.2772126767962806757640045050809172681765101364150115572273), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(cos(cm)), BOOST_FLOATMAX_C(-9.9003016219435352532718399415663308886142356901813313808396), tol);
BOOST_CHECK_CLOSE_FRACTION(real(tan(cm)), BOOST_FLOATMAX_C(-0.001747945781533807475041571346335555146588886236426940282142), 100 * tol);
BOOST_CHECK_CLOSE_FRACTION(imag(tan(cm)), BOOST_FLOATMAX_C(0.999481272866023968509371163341197364669909311495225118348783), tol);
BOOST_CHECK_CLOSE_FRACTION(real(asin(cm)), BOOST_FLOATMAX_C(0.60763873377718961061236721540807625716707363115177473522038), 3 * tol);
BOOST_CHECK_CLOSE_FRACTION(imag(asin(cm)), BOOST_FLOATMAX_C(2.15662466247239925020341473126370983708442367609452933444142), tol);
BOOST_CHECK_CLOSE_FRACTION(real(acos(cm)), BOOST_FLOATMAX_C(0.96315759301770700861895447623167518493151106853577817526710), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(acos(cm)), BOOST_FLOATMAX_C(-2.15662466247239925020341473126370983708442367609452933444142), tol);
BOOST_CHECK_CLOSE_FRACTION(real(atan(cm)), BOOST_FLOATMAX_C(1.43164649729234094356720655652341656334194939189977737526797), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(atan(cm)), BOOST_FLOATMAX_C(0.18785402217098027123573761814417062282719376109354553980571), tol);
BOOST_CHECK_CLOSE_FRACTION(real(exp(cm)), BOOST_FLOATMAX_C(-11.40837793738050755301628098123357473395267691300165885963084), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(exp(cm)), BOOST_FLOATMAX_C(-4.27341455284486523762268047763120025488336663280501044879428), tol);
BOOST_CHECK_CLOSE_FRACTION(real(log(cm)), BOOST_FLOATMAX_C(1.45888536604213956747543177478663529791228872640369045476212), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(log(cm)), BOOST_FLOATMAX_C(0.95054684081207514789478913546381917504767901030880427426177), tol);
BOOST_CHECK_CLOSE_FRACTION(real(pow(cm, cm)), BOOST_FLOATMAX_C(0.500085941796692509786065254311643761781309406813392318413211), 3 * tol);
BOOST_CHECK_CLOSE_FRACTION(imag(pow(cm, cm)), BOOST_FLOATMAX_C(1.2835619023632800631240903890826362708871896445947786884), tol);
BOOST_CHECK_CLOSE_FRACTION(real(pow(cm, 45)), BOOST_FLOATMAX_C(1.15295630001810518909457669488131135702133178710937500000000e28), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(pow(cm, 45)), BOOST_FLOATMAX_C(-3.03446103291767290317331113291188915967941284179687500000000e28), tol);
BOOST_CHECK_CLOSE_FRACTION(real(pow(cm, BOOST_FLOATMAX_C(-6.25))), BOOST_FLOATMAX_C(0.0001033088262386741675929555572265687059620746178809486273109638), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(pow(cm, BOOST_FLOATMAX_C(-6.25))), BOOST_FLOATMAX_C(0.000036807924520680371147635577932953977554657684086220380643819), 10*tol);
BOOST_CHECK_CLOSE_FRACTION(real(pow(BOOST_FLOATMAX_C(23.125), cm)), BOOST_FLOATMAX_C(-6.10574617260000071495777483951769228578270070743952693687), 500*tol);
BOOST_CHECK_CLOSE_FRACTION(imag(pow(BOOST_FLOATMAX_C(23.125), cm)), BOOST_FLOATMAX_C(-2571.59829653692515304089117319850284971907684832627401081405), tol);
BOOST_CHECK_CLOSE_FRACTION(real(sinh(cm)), BOOST_FLOATMAX_C(-5.66575444574645085564435171738630834083691435582030649964506), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(sinh(cm)), BOOST_FLOATMAX_C(-2.15110429680352723029881676360397937637837569516923953471257), tol);
BOOST_CHECK_CLOSE_FRACTION(real(cosh(cm)), BOOST_FLOATMAX_C(-5.74262349163405669737192926384726639311576255718135235998578), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(cosh(cm)), BOOST_FLOATMAX_C(-2.12231025604133800732386371402722087850499093763577091408171), tol);
BOOST_CHECK_CLOSE_FRACTION(real(tanh(cm)), BOOST_FLOATMAX_C(0.989853240015864535514963496600761619743140454542828561309980), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(tanh(cm)), BOOST_FLOATMAX_C(0.008764045495134631601280624388444235039135499546704045953309), 12 * tol);
BOOST_CHECK_CLOSE_FRACTION(real(asinh(cm)), BOOST_FLOATMAX_C(2.14787287976856126021628946626513750583054633606189652982666), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(asinh(cm)), BOOST_FLOATMAX_C(0.93760050284009400234857022775555923392488940926800031416598), tol);
BOOST_CHECK_CLOSE_FRACTION(real(acosh(cm)), BOOST_FLOATMAX_C(2.15662466247239925020341473126370983708442367609452933444142), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(acosh(cm)), BOOST_FLOATMAX_C(0.96315759301770700861895447623167518493151106853577817526710), tol);
BOOST_CHECK_CLOSE_FRACTION(real(atanh(cm)), BOOST_FLOATMAX_C(0.131131117031038145756858363631111963444914136310244574499277), tol);
BOOST_CHECK_CLOSE_FRACTION(imag(atanh(cm)), BOOST_FLOATMAX_C(1.380543138238714176079527733234534889849881842858502491699319), 12 * tol);
}
libs/math/test/float128/test_tgamma_ratio.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/gamma.hpp>
#include "libs/math/test/test_tgamma_ratio.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 2000, 500); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_tgamma_ratio(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_trigamma.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/trigamma.hpp>
#include "libs/math/test/test_trigamma.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 2, 2); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_trigamma(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}
libs/math/test/float128/test_zeta.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
#include "setup.hpp"
#include "table_type.hpp"
#include <boost/math/special_functions/zeta.hpp>
#include "libs/math/test/test_zeta.hpp"
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
".*", // test type(s)
".*", // test data group
".*", 1000, 200); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
template <class T>
void test(T t, const char* p)
{
test_zeta(t, p);
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
ALL_TESTS
}