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// Copyright John Maddock 2006.
// Copyright Paul A. Bristow 2007, 2009
// 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)
#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
#include <boost/math/concepts/real_concept.hpp>
#include <boost/math/special_functions/math_fwd.hpp>
#include <boost/test/test_exec_monitor.hpp>
#include <boost/test/floating_point_comparison.hpp>
#include <boost/math/tools/stats.hpp>
#include <boost/math/tools/test.hpp>
#include <boost/math/constants/constants.hpp>
#include <boost/type_traits/is_floating_point.hpp>
#include <boost/array.hpp>
#include "functor.hpp"
#include "test_gamma_hooks.hpp"
#include "handle_test_result.hpp"
#include "table_type.hpp"
#ifndef SC_
#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
#endif
template <class Real, class T>
void do_test_gamma(const T& data, const char* type_name, const char* test_name)
{
typedef typename T::value_type row_type;
typedef Real value_type;
typedef value_type (*pg)(value_type);
#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
pg funcp = boost::math::tgamma<value_type>;
#else
pg funcp = boost::math::tgamma;
#endif
boost::math::tools::test_result<value_type> result;
std::cout << "Testing " << test_name << " with type " << type_name
<< "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
//
// test tgamma against data:
//
result = boost::math::tools::test_hetero<Real>(
data,
bind_func<Real>(funcp, 0),
extract_result<Real>(1));
handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::tgamma", test_name);
#ifdef TEST_OTHER
if(::boost::is_floating_point<value_type>::value){
funcp = other::tgamma;
result = boost::math::tools::test_hetero<Real>(
data,
bind_func<Real>(funcp, 0),
extract_result<Real>(1));
print_test_result(result, data[result.worst()], result.worst(), type_name, "other::tgamma");
}
#endif
//
// test lgamma against data:
//
#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
funcp = boost::math::lgamma<value_type>;
#else
funcp = boost::math::lgamma;
#endif
result = boost::math::tools::test_hetero<Real>(
data,
bind_func<Real>(funcp, 0),
extract_result<Real>(2));
handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::lgamma", test_name);
#ifdef TEST_OTHER
if(::boost::is_floating_point<value_type>::value){
funcp = other::lgamma;
result = boost::math::tools::test_hetero<Real>(
data,
bind_func<Real>(funcp, 0),
extract_result<Real>(2));
print_test_result(result, data[result.worst()], result.worst(), type_name, "other::lgamma");
}
#endif
std::cout << std::endl;
}
template <class Real, class T>
void do_test_gammap1m1(const T& data, const char* type_name, const char* test_name)
{
typedef typename T::value_type row_type;
typedef Real value_type;
typedef value_type (*pg)(value_type);
#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
pg funcp = boost::math::tgamma1pm1<value_type>;
#else
pg funcp = boost::math::tgamma1pm1;
#endif
boost::math::tools::test_result<value_type> result;
std::cout << "Testing " << test_name << " with type " << type_name
<< "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
//
// test tgamma1pm1 against data:
//
result = boost::math::tools::test_hetero<Real>(
data,
bind_func<Real>(funcp, 0),
extract_result<Real>(1));
handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::tgamma1pm1", test_name);
std::cout << std::endl;
}
template <class T>
void test_gamma(T, const char* name)
{
//
// The actual test data is rather verbose, so it's in a separate file
//
// The contents are as follows, each row of data contains
// three items, input value, gamma and lgamma:
//
// gamma and lgamma at integer and half integer values:
// boost::array<boost::array<T, 3>, N> factorials;
//
// gamma and lgamma for z near 0:
// boost::array<boost::array<T, 3>, N> near_0;
//
// gamma and lgamma for z near 1:
// boost::array<boost::array<T, 3>, N> near_1;
//
// gamma and lgamma for z near 2:
// boost::array<boost::array<T, 3>, N> near_2;
//
// gamma and lgamma for z near -10:
// boost::array<boost::array<T, 3>, N> near_m10;
//
// gamma and lgamma for z near -55:
// boost::array<boost::array<T, 3>, N> near_m55;
//
// The last two cases are chosen more or less at random,
// except that one is even and the other odd, and both are
// at negative poles. The data near zero also tests near
// a pole, the data near 1 and 2 are to probe lgamma as
// the result -> 0.
//
# include "test_gamma_data.ipp"
do_test_gamma<T>(factorials, name, "factorials");
do_test_gamma<T>(near_0, name, "near 0");
do_test_gamma<T>(near_1, name, "near 1");
do_test_gamma<T>(near_2, name, "near 2");
do_test_gamma<T>(near_m10, name, "near -10");
do_test_gamma<T>(near_m55, name, "near -55");
//
// And now tgamma1pm1 which computes gamma(1+dz)-1:
//
do_test_gammap1m1<T>(gammap1m1_data, name, "tgamma1pm1(dz)");
}
template <class T>
void test_spots(T)
{
//
// basic sanity checks, tolerance is 50 epsilon expressed as a percentage:
//
T tolerance = boost::math::tools::epsilon<T>() * 5000;
BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(3.5)), static_cast<T>(3.3233509704478425511840640312646472177454052302295L), tolerance);
BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.125)), static_cast<T>(7.5339415987976119046992298412151336246104195881491L), tolerance);
BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-0.125)), static_cast<T>(-8.7172188593831756100190140408231437691829605421405L), tolerance);
BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-3.125)), static_cast<T>(1.1668538708507675587790157356605097019141636072094L), tolerance);
// Lower tolerance on this one, is only really needed on Linux x86 systems, result is mostly down to std lib accuracy:
BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-53249.0/1024)), static_cast<T>(-1.2646559519067605488251406578743995122462767733517e-65L), tolerance * 3);
int sign = 1;
BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(3.5), &sign), static_cast<T>(1.2009736023470742248160218814507129957702389154682L), tolerance);
BOOST_CHECK(sign == 1);
BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(0.125), &sign), static_cast<T>(2.0194183575537963453202905211670995899482809521344L), tolerance);
BOOST_CHECK(sign == 1);
BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-0.125), &sign), static_cast<T>(2.1653002489051702517540619481440174064962195287626L), tolerance);
BOOST_CHECK(sign == -1);
BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-3.125), &sign), static_cast<T>(0.1543111276840418242676072830970532952413339012367L), tolerance);
BOOST_CHECK(sign == 1);
BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-53249.0/1024), &sign), static_cast<T>(-149.43323093420259741100038126078721302600128285894L), tolerance);
BOOST_CHECK(sign == -1);
}
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