207 lines
7.6 KiB
C++
207 lines
7.6 KiB
C++
// Copyright John Maddock 2006.
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// Copyright Paul A. Bristow 2007, 2009
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
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#include <boost/math/concepts/real_concept.hpp>
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#include <boost/math/special_functions/math_fwd.hpp>
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#define BOOST_TEST_MAIN
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#include <boost/test/unit_test.hpp>
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#include <boost/test/floating_point_comparison.hpp>
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#include <boost/math/tools/stats.hpp>
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#include <boost/math/tools/test.hpp>
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#include <boost/math/constants/constants.hpp>
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#include <boost/type_traits/is_floating_point.hpp>
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#include <boost/array.hpp>
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#include "functor.hpp"
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#include "test_gamma_hooks.hpp"
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#include "handle_test_result.hpp"
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#include "table_type.hpp"
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#ifndef SC_
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#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
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#endif
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template <class Real, class T>
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void do_test_gamma(const T& data, const char* type_name, const char* test_name)
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{
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typedef Real value_type;
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typedef value_type (*pg)(value_type);
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#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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pg funcp = boost::math::tgamma<value_type>;
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#else
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pg funcp = boost::math::tgamma;
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#endif
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boost::math::tools::test_result<value_type> result;
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std::cout << "Testing " << test_name << " with type " << type_name
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<< "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
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//
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// test tgamma against data:
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//
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result = boost::math::tools::test_hetero<Real>(
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data,
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bind_func<Real>(funcp, 0),
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extract_result<Real>(1));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::tgamma", test_name);
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#ifdef TEST_OTHER
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if(::boost::is_floating_point<value_type>::value){
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funcp = other::tgamma;
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result = boost::math::tools::test_hetero<Real>(
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data,
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bind_func<Real>(funcp, 0),
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extract_result<Real>(1));
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print_test_result(result, data[result.worst()], result.worst(), type_name, "other::tgamma");
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}
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#endif
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//
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// test lgamma against data:
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//
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#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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funcp = boost::math::lgamma<value_type>;
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#else
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funcp = boost::math::lgamma;
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#endif
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result = boost::math::tools::test_hetero<Real>(
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data,
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bind_func<Real>(funcp, 0),
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extract_result<Real>(2));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::lgamma", test_name);
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#ifdef TEST_OTHER
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if(::boost::is_floating_point<value_type>::value){
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funcp = other::lgamma;
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result = boost::math::tools::test_hetero<Real>(
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data,
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bind_func<Real>(funcp, 0),
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extract_result<Real>(2));
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print_test_result(result, data[result.worst()], result.worst(), type_name, "other::lgamma");
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}
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#endif
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std::cout << std::endl;
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}
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template <class Real, class T>
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void do_test_gammap1m1(const T& data, const char* type_name, const char* test_name)
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{
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typedef Real value_type;
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typedef value_type (*pg)(value_type);
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#if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
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pg funcp = boost::math::tgamma1pm1<value_type>;
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#else
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pg funcp = boost::math::tgamma1pm1;
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#endif
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boost::math::tools::test_result<value_type> result;
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std::cout << "Testing " << test_name << " with type " << type_name
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<< "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
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//
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// test tgamma1pm1 against data:
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//
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result = boost::math::tools::test_hetero<Real>(
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data,
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bind_func<Real>(funcp, 0),
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extract_result<Real>(1));
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handle_test_result(result, data[result.worst()], result.worst(), type_name, "boost::math::tgamma1pm1", test_name);
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std::cout << std::endl;
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}
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template <class T>
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void test_gamma(T, const char* name)
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{
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//
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// The actual test data is rather verbose, so it's in a separate file
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//
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// The contents are as follows, each row of data contains
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// three items, input value, gamma and lgamma:
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//
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// gamma and lgamma at integer and half integer values:
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// boost::array<boost::array<T, 3>, N> factorials;
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//
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// gamma and lgamma for z near 0:
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// boost::array<boost::array<T, 3>, N> near_0;
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//
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// gamma and lgamma for z near 1:
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// boost::array<boost::array<T, 3>, N> near_1;
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//
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// gamma and lgamma for z near 2:
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// boost::array<boost::array<T, 3>, N> near_2;
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//
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// gamma and lgamma for z near -10:
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// boost::array<boost::array<T, 3>, N> near_m10;
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//
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// gamma and lgamma for z near -55:
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// boost::array<boost::array<T, 3>, N> near_m55;
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//
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// The last two cases are chosen more or less at random,
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// except that one is even and the other odd, and both are
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// at negative poles. The data near zero also tests near
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// a pole, the data near 1 and 2 are to probe lgamma as
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// the result -> 0.
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//
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# include "test_gamma_data.ipp"
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do_test_gamma<T>(factorials, name, "factorials");
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do_test_gamma<T>(near_0, name, "near 0");
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do_test_gamma<T>(near_1, name, "near 1");
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do_test_gamma<T>(near_2, name, "near 2");
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do_test_gamma<T>(near_m10, name, "near -10");
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do_test_gamma<T>(near_m55, name, "near -55");
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//
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// And now tgamma1pm1 which computes gamma(1+dz)-1:
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//
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do_test_gammap1m1<T>(gammap1m1_data, name, "tgamma1pm1(dz)");
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}
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template <class T>
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void test_spots(T)
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{
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//
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// basic sanity checks, tolerance is 50 epsilon expressed as a percentage:
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//
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T tolerance = boost::math::tools::epsilon<T>() * 5000;
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BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(3.5)), static_cast<T>(3.3233509704478425511840640312646472177454052302295L), tolerance);
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BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(0.125)), static_cast<T>(7.5339415987976119046992298412151336246104195881491L), tolerance);
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BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-0.125)), static_cast<T>(-8.7172188593831756100190140408231437691829605421405L), tolerance);
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BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-3.125)), static_cast<T>(1.1668538708507675587790157356605097019141636072094L), tolerance);
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// Lower tolerance on this one, is only really needed on Linux x86 systems, result is mostly down to std lib accuracy:
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BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(-53249.0/1024)), static_cast<T>(-1.2646559519067605488251406578743995122462767733517e-65L), tolerance * 3);
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#ifdef BOOST_MSVC
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#pragma warning(push)
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#pragma warning(disable:4127)
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#endif
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// Test bug fixes in tgamma:
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if(std::numeric_limits<T>::max_exponent10 > 244)
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{
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BOOST_CHECK_CLOSE(::boost::math::tgamma(static_cast<T>(142.75)), static_cast<T>(7.8029496083318133344429227511387928576820621466e244L), tolerance * 4);
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}
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#ifdef BOOST_MSVC
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#pragma warning(pop)
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#endif
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int sign = 1;
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BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(3.5), &sign), static_cast<T>(1.2009736023470742248160218814507129957702389154682L), tolerance);
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BOOST_CHECK(sign == 1);
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BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(0.125), &sign), static_cast<T>(2.0194183575537963453202905211670995899482809521344L), tolerance);
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BOOST_CHECK(sign == 1);
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BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-0.125), &sign), static_cast<T>(2.1653002489051702517540619481440174064962195287626L), tolerance);
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BOOST_CHECK(sign == -1);
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BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-3.125), &sign), static_cast<T>(0.1543111276840418242676072830970532952413339012367L), tolerance);
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BOOST_CHECK(sign == 1);
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BOOST_CHECK_CLOSE(::boost::math::lgamma(static_cast<T>(-53249.0/1024), &sign), static_cast<T>(-149.43323093420259741100038126078721302600128285894L), tolerance);
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BOOST_CHECK(sign == -1);
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}
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