123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526527528529 |
- // Copyright Paul A. Bristow 2012.
- // Copyright John Maddock 2012.
- // Copyright Benjamin Sobotta 2012
- // 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 : 4305) // 'initializing' : truncation from 'double' to 'const float'.
- # pragma warning (disable : 4310) // cast truncates constant value.
- # pragma warning (disable : 4512) // assignment operator could not be generated.
- #endif
- //#include <pch.hpp> // include directory libs/math/src/tr1/ is needed.
- #include <boost/math/concepts/real_concept.hpp> // for real_concept
- #define BOOST_TEST_MAIN
- #include <boost/test/unit_test.hpp> // Boost.Test
- #include <boost/test/tools/floating_point_comparison.hpp>
- #include <boost/math/distributions/skew_normal.hpp>
- using boost::math::skew_normal_distribution;
- using boost::math::skew_normal;
- #include <boost/math/tools/test.hpp>
- #include <iostream>
- #include <iomanip>
- using std::cout;
- using std::endl;
- using std::setprecision;
- #include <limits>
- using std::numeric_limits;
- #include "test_out_of_range.hpp"
- template <class RealType>
- void check_skew_normal(RealType mean, RealType scale, RealType shape, RealType x, RealType p, RealType q, RealType tol)
- {
- using boost::math::skew_normal_distribution;
- BOOST_CHECK_CLOSE_FRACTION(
- ::boost::math::cdf( // Check cdf
- skew_normal_distribution<RealType>(mean, scale, shape), // distribution.
- x), // random variable.
- p, // probability.
- tol); // tolerance.
- BOOST_CHECK_CLOSE_FRACTION(
- ::boost::math::cdf( // Check cdf complement
- complement(
- skew_normal_distribution<RealType>(mean, scale, shape), // distribution.
- x)), // random variable.
- q, // probability complement.
- tol); // %tolerance.
- BOOST_CHECK_CLOSE_FRACTION(
- ::boost::math::quantile( // Check quantile
- skew_normal_distribution<RealType>(mean, scale, shape), // distribution.
- p), // probability.
- x, // random variable.
- tol); // tolerance.
- BOOST_CHECK_CLOSE_FRACTION(
- ::boost::math::quantile( // Check quantile complement
- complement(
- skew_normal_distribution<RealType>(mean, scale, shape), // distribution.
- q)), // probability complement.
- x, // random variable.
- tol); // tolerance.
- skew_normal_distribution<RealType> dist (mean, scale, shape);
- if((p < 0.999) && (q < 0.999))
- { // We can only check this if P is not too close to 1,
- // so that we can guarantee Q is accurate:
- BOOST_CHECK_CLOSE_FRACTION(
- cdf(complement(dist, x)), q, tol); // 1 - cdf
- BOOST_CHECK_CLOSE_FRACTION(
- quantile(dist, p), x, tol); // quantile(cdf) = x
- BOOST_CHECK_CLOSE_FRACTION(
- quantile(complement(dist, q)), x, tol); // quantile(complement(1 - cdf)) = x
- }
- } // template <class RealType>void check_skew_normal()
- template <class RealType>
- void test_spots(RealType)
- {
- // Basic sanity checks
- RealType tolerance = 1e-4f; // 1e-4 (as %)
- // Check some bad parameters to the distribution,
- #ifndef BOOST_NO_EXCEPTIONS
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(0, 0), std::domain_error); // zero sd
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(0, -1), std::domain_error); // negative sd
- #else
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(0, 0), std::domain_error); // zero sd
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(0, -1), std::domain_error); // negative sd
- #endif
- // Tests on extreme values of random variate x, if has numeric_limit infinity etc.
- skew_normal_distribution<RealType> N01;
- if(std::numeric_limits<RealType>::has_infinity)
- {
- BOOST_CHECK_EQUAL(pdf(N01, +std::numeric_limits<RealType>::infinity()), 0); // x = + infinity, pdf = 0
- BOOST_CHECK_EQUAL(pdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, pdf = 0
- BOOST_CHECK_EQUAL(cdf(N01, +std::numeric_limits<RealType>::infinity()), 1); // x = + infinity, cdf = 1
- BOOST_CHECK_EQUAL(cdf(N01, -std::numeric_limits<RealType>::infinity()), 0); // x = - infinity, cdf = 0
- BOOST_CHECK_EQUAL(cdf(complement(N01, +std::numeric_limits<RealType>::infinity())), 0); // x = + infinity, c cdf = 0
- BOOST_CHECK_EQUAL(cdf(complement(N01, -std::numeric_limits<RealType>::infinity())), 1); // x = - infinity, c cdf = 1
- #ifndef BOOST_NO_EXCEPTIONS
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // -infinite mean
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
- #else
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(-std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // -infinite mean
- BOOST_MATH_CHECK_THROW(boost::math::skew_normal_distribution<RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
- #endif
- }
- if (std::numeric_limits<RealType>::has_quiet_NaN)
- {
- // No longer allow x to be NaN, then these tests should throw.
- BOOST_MATH_CHECK_THROW(pdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
- BOOST_MATH_CHECK_THROW(cdf(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
- BOOST_MATH_CHECK_THROW(cdf(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
- BOOST_MATH_CHECK_THROW(quantile(N01, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
- BOOST_MATH_CHECK_THROW(quantile(complement(N01, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
- }
- BOOST_CHECK_EQUAL(mean(N01), 0);
- BOOST_CHECK_EQUAL(mode(N01), 0);
- BOOST_CHECK_EQUAL(variance(N01), 1);
- BOOST_CHECK_EQUAL(skewness(N01), 0);
- BOOST_CHECK_EQUAL(kurtosis_excess(N01), 0);
- cout << "Tolerance for type " << typeid(RealType).name() << " is " << tolerance << " %" << endl;
- // Tests where shape = 0, so same as normal tests.
- // (These might be removed later).
- check_skew_normal(
- static_cast<RealType>(5),
- static_cast<RealType>(2),
- static_cast<RealType>(0),
- static_cast<RealType>(4.8),
- static_cast<RealType>(0.46017),
- static_cast<RealType>(1 - 0.46017),
- tolerance);
- check_skew_normal(
- static_cast<RealType>(5),
- static_cast<RealType>(2),
- static_cast<RealType>(0),
- static_cast<RealType>(5.2),
- static_cast<RealType>(1 - 0.46017),
- static_cast<RealType>(0.46017),
- tolerance);
- check_skew_normal(
- static_cast<RealType>(5),
- static_cast<RealType>(2),
- static_cast<RealType>(0),
- static_cast<RealType>(2.2),
- static_cast<RealType>(0.08076),
- static_cast<RealType>(1 - 0.08076),
- tolerance);
- check_skew_normal(
- static_cast<RealType>(5),
- static_cast<RealType>(2),
- static_cast<RealType>(0),
- static_cast<RealType>(7.8),
- static_cast<RealType>(1 - 0.08076),
- static_cast<RealType>(0.08076),
- tolerance);
- check_skew_normal(
- static_cast<RealType>(-3),
- static_cast<RealType>(5),
- static_cast<RealType>(0),
- static_cast<RealType>(-4.5),
- static_cast<RealType>(0.38209),
- static_cast<RealType>(1 - 0.38209),
- tolerance);
- check_skew_normal(
- static_cast<RealType>(-3),
- static_cast<RealType>(5),
- static_cast<RealType>(0),
- static_cast<RealType>(-1.5),
- static_cast<RealType>(1 - 0.38209),
- static_cast<RealType>(0.38209),
- tolerance);
- check_skew_normal(
- static_cast<RealType>(-3),
- static_cast<RealType>(5),
- static_cast<RealType>(0),
- static_cast<RealType>(-8.5),
- static_cast<RealType>(0.13567),
- static_cast<RealType>(1 - 0.13567),
- tolerance);
- check_skew_normal(
- static_cast<RealType>(-3),
- static_cast<RealType>(5),
- static_cast<RealType>(0),
- static_cast<RealType>(2.5),
- static_cast<RealType>(1 - 0.13567),
- static_cast<RealType>(0.13567),
- tolerance);
- // Tests where shape != 0, specific to skew_normal distribution.
- //void check_skew_normal(RealType mean, RealType scale, RealType shape, RealType x, RealType p, RealType q, RealType tol)
- check_skew_normal( // 1st R example.
- static_cast<RealType>(1.1),
- static_cast<RealType>(2.2),
- static_cast<RealType>(-3.3),
- static_cast<RealType>(0.4), // x
- static_cast<RealType>(0.733918618927874), // p == psn
- static_cast<RealType>(1 - 0.733918618927874), // q
- tolerance);
- // Not sure about these yet.
- //check_skew_normal( // 2nd R example.
- //static_cast<RealType>(1.1),
- //static_cast<RealType>(0.02),
- //static_cast<RealType>(0.03),
- //static_cast<RealType>(1.3), // x
- //static_cast<RealType>(0.01), // p
- //static_cast<RealType>(0.09), // q
- //tolerance);
- //check_skew_normal( // 3nd R example.
- //static_cast<RealType>(10.1),
- //static_cast<RealType>(5.),
- //static_cast<RealType>(-0.03),
- //static_cast<RealType>(-1.3), // x
- //static_cast<RealType>(0.01201290665838824), // p
- //static_cast<RealType>(1. - 0.01201290665838824), // q 0.987987101
- //tolerance);
- // Tests for PDF: we know that the normal peak value is at 1/sqrt(2*pi)
- //
- tolerance = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction
- BOOST_CHECK_CLOSE_FRACTION(
- pdf(skew_normal_distribution<RealType>(), static_cast<RealType>(0)),
- static_cast<RealType>(0.3989422804014326779399460599343818684759L), // 1/sqrt(2*pi)
- tolerance);
- BOOST_CHECK_CLOSE_FRACTION(
- pdf(skew_normal_distribution<RealType>(3), static_cast<RealType>(3)),
- static_cast<RealType>(0.3989422804014326779399460599343818684759L),
- tolerance);
- BOOST_CHECK_CLOSE_FRACTION(
- pdf(skew_normal_distribution<RealType>(3, 5), static_cast<RealType>(3)),
- static_cast<RealType>(0.3989422804014326779399460599343818684759L / 5),
- tolerance);
- // Shape != 0.
- BOOST_CHECK_CLOSE_FRACTION(
- pdf(skew_normal_distribution<RealType>(3,5,1e-6), static_cast<RealType>(3)),
- static_cast<RealType>(0.3989422804014326779399460599343818684759L / 5),
- tolerance);
- // Checks on mean, variance cumulants etc.
- // Checks on shape ==0
- RealType tol5 = boost::math::tools::epsilon<RealType>() * 5;
- skew_normal_distribution<RealType> dist(8, 3);
- RealType x = static_cast<RealType>(0.125);
- BOOST_MATH_STD_USING // ADL of std math lib names
- // mean:
- BOOST_CHECK_CLOSE(
- mean(dist)
- , static_cast<RealType>(8), tol5);
- // variance:
- BOOST_CHECK_CLOSE(
- variance(dist)
- , static_cast<RealType>(9), tol5);
- // std deviation:
- BOOST_CHECK_CLOSE(
- standard_deviation(dist)
- , static_cast<RealType>(3), tol5);
- // hazard:
- BOOST_CHECK_CLOSE(
- hazard(dist, x)
- , pdf(dist, x) / cdf(complement(dist, x)), tol5);
- // cumulative hazard:
- BOOST_CHECK_CLOSE(
- chf(dist, x)
- , -log(cdf(complement(dist, x))), tol5);
- // coefficient_of_variation:
- BOOST_CHECK_CLOSE(
- coefficient_of_variation(dist)
- , standard_deviation(dist) / mean(dist), tol5);
- // mode:
- BOOST_CHECK_CLOSE_FRACTION(mode(dist), static_cast<RealType>(8), 0.001f);
- BOOST_CHECK_CLOSE(
- median(dist)
- , static_cast<RealType>(8), tol5);
- // skewness:
- BOOST_CHECK_CLOSE(
- skewness(dist)
- , static_cast<RealType>(0), tol5);
- // kurtosis:
- BOOST_CHECK_CLOSE(
- kurtosis(dist)
- , static_cast<RealType>(3), tol5);
- // kurtosis excess:
- BOOST_CHECK_CLOSE(
- kurtosis_excess(dist)
- , static_cast<RealType>(0), tol5);
- skew_normal_distribution<RealType> norm01(0, 1); // Test default (0, 1)
- BOOST_CHECK_CLOSE(
- mean(norm01),
- static_cast<RealType>(0), 0); // Mean == zero
- skew_normal_distribution<RealType> defsd_norm01(0); // Test default (0, sd = 1)
- BOOST_CHECK_CLOSE(
- mean(defsd_norm01),
- static_cast<RealType>(0), 0); // Mean == zero
- skew_normal_distribution<RealType> def_norm01; // Test default (0, sd = 1)
- BOOST_CHECK_CLOSE(
- mean(def_norm01),
- static_cast<RealType>(0), 0); // Mean == zero
- BOOST_CHECK_CLOSE(
- standard_deviation(def_norm01),
- static_cast<RealType>(1), 0); //
- BOOST_CHECK_CLOSE(
- mode(def_norm01),
- static_cast<RealType>(0), 0); // Mode == zero
- // Skew_normal tests with shape != 0.
- {
- // Note these tolerances are expressed as percentages, hence the extra * 100 on the end:
- RealType tol10 = boost::math::tools::epsilon<RealType>() * 10 * 100;
- RealType tol100 = boost::math::tools::epsilon<RealType>() * 100 * 100;
- //skew_normal_distribution<RealType> dist(1.1, 0.02, 0.03);
- BOOST_MATH_STD_USING // ADL of std math lib names.
- // Test values from R = see skew_normal_drv.cpp which included the R code used.
- {
- dist = skew_normal_distribution<RealType>(static_cast<RealType>(1.1l), static_cast<RealType>(2.2l), static_cast<RealType>(-3.3l));
- BOOST_CHECK_CLOSE( // mean:
- mean(dist)
- , static_cast<RealType>(-0.579908992539856825862549L), tol10 * 2);
- std::cout << std::setprecision(17) << "Variance = " << variance(dist) << std::endl;
- BOOST_CHECK_CLOSE( // variance: N[variance[skewnormaldistribution[1.1, 2.2, -3.3]], 50]
- variance(dist)
- , static_cast<RealType>(2.0179057767837232633904061072049998357047989154484L), tol10);
- BOOST_CHECK_CLOSE( // skewness:
- skewness(dist)
- , static_cast<RealType>(-0.709854548171537509192897824663L), tol100);
- BOOST_CHECK_CLOSE( // kurtosis:
- kurtosis(dist)
- , static_cast<RealType>(3.5538752625241790601377L), tol100);
- BOOST_CHECK_CLOSE( // kurtosis excess:
- kurtosis_excess(dist)
- , static_cast<RealType>(0.5538752625241790601377L), tol100);
- BOOST_CHECK_CLOSE(
- pdf(dist, static_cast<RealType>(0.4L)),
- static_cast<RealType>(0.294140110156599539564571L),
- tol10);
- BOOST_CHECK_CLOSE(
- cdf(dist, static_cast<RealType>(0.4L)),
- static_cast<RealType>(0.7339186189278737976326676452L),
- tol100);
- BOOST_CHECK_CLOSE(
- quantile(dist, static_cast<RealType>(0.3L)),
- static_cast<RealType>(-1.180104068086875314419247L),
- tol100);
- { // mode tests
- dist = skew_normal_distribution<RealType>(static_cast<RealType>(0.l), static_cast<RealType>(1.l), static_cast<RealType>(4.l));
- // cout << "pdf(dist, 0) = " << pdf(dist, 0) << ", pdf(dist, 0.45) = " << pdf(dist, 0.45) << endl;
- // BOOST_CHECK_CLOSE(mode(dist), boost::math::constants::root_two<RealType>() / 2, tol5);
- BOOST_CHECK_CLOSE(mode(dist), static_cast<RealType>(0.41697299497388863932L), tol100);
- }
- }
- {
- dist = skew_normal_distribution<RealType>(static_cast<RealType>(1.1l), static_cast<RealType>(0.02l), static_cast<RealType>(0.03l));
- BOOST_CHECK_CLOSE( // mean:
- mean(dist)
- , static_cast<RealType>(1.1004785154529557886162L), tol10);
- BOOST_CHECK_CLOSE( // variance:
- variance(dist)
- , static_cast<RealType>(0.00039977102296128251645L), tol10);
- BOOST_CHECK_CLOSE( // skewness:
- skewness(dist)
- , static_cast<RealType>(5.8834811259890359782e-006L), tol100);
- BOOST_CHECK_CLOSE( // kurtosis:
- kurtosis(dist)
- , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol100);
- BOOST_CHECK_CLOSE( // kurtosis excess:
- kurtosis_excess(dist)
- , static_cast<RealType>(9.2903475812137800239002e-008L), tol100);
- }
- {
- dist = skew_normal_distribution<RealType>(static_cast<RealType>(10.1l), static_cast<RealType>(5.l), static_cast<RealType>(-0.03l));
- BOOST_CHECK_CLOSE( // mean:
- mean(dist)
- , static_cast<RealType>(9.9803711367610528459485937L), tol10);
- BOOST_CHECK_CLOSE( // variance:
- variance(dist)
- , static_cast<RealType>(24.98568893508015727823L), tol10);
- BOOST_CHECK_CLOSE( // skewness:
- skewness(dist)
- , static_cast<RealType>(-5.8834811259890359782085e-006L), tol100);
- BOOST_CHECK_CLOSE( // kurtosis:
- kurtosis(dist)
- , static_cast<RealType>(3.L + 9.2903475812137800239002e-008L), tol100);
- BOOST_CHECK_CLOSE( // kurtosis excess:
- kurtosis_excess(dist)
- , static_cast<RealType>(9.2903475812137800239002e-008L), tol100);
- }
- {
- dist = skew_normal_distribution<RealType>(static_cast<RealType>(-10.1l), static_cast<RealType>(5.l), static_cast<RealType>(30.l));
- BOOST_CHECK_CLOSE( // mean:
- mean(dist)
- , static_cast<RealType>(-6.11279169674138408531365L), 2 * tol10);
- BOOST_CHECK_CLOSE( // variance:
- variance(dist)
- , static_cast<RealType>(9.10216994642554914628242L), tol10 * 2);
- BOOST_CHECK_CLOSE( // skewness:
- skewness(dist)
- , static_cast<RealType>(0.99072425443686904424L), tol100);
- BOOST_CHECK_CLOSE( // kurtosis:
- kurtosis(dist)
- , static_cast<RealType>(3.L + 0.8638862008406084244563L), tol100);
- BOOST_CHECK_CLOSE( // kurtosis excess:
- kurtosis_excess(dist)
- , static_cast<RealType>(0.8638862008406084244563L), tol100);
- }
- BOOST_MATH_CHECK_THROW(cdf(skew_normal_distribution<RealType>(0, 0, 0), 0), std::domain_error);
- BOOST_MATH_CHECK_THROW(cdf(skew_normal_distribution<RealType>(0, -1, 0), 0), std::domain_error);
- BOOST_MATH_CHECK_THROW(quantile(skew_normal_distribution<RealType>(0, 1, 0), -1), std::domain_error);
- BOOST_MATH_CHECK_THROW(quantile(skew_normal_distribution<RealType>(0, 1, 0), 2), std::domain_error);
- check_out_of_range<skew_normal_distribution<RealType> >(1, 1, 1);
- }
- } // template <class RealType>void test_spots(RealType)
- BOOST_AUTO_TEST_CASE( test_main )
- {
- using boost::math::skew_normal;
- using boost::math::skew_normal_distribution;
- //int precision = 17; // std::numeric_limits<double::max_digits10;
- double tolfeweps = numeric_limits<double>::epsilon() * 5;
- //double tol6decdigits = numeric_limits<float>::epsilon() * 2;
- // Check that can generate skew_normal distribution using the two convenience methods:
- boost::math::skew_normal w12(1., 2); // Using typedef.
- boost::math::skew_normal_distribution<> w01; // Use default unity values for mean and scale.
- // Note NOT myn01() as the compiler will interpret as a function!
- // Checks on constructors.
- // Default parameters.
- BOOST_CHECK_EQUAL(w01.location(), 0);
- BOOST_CHECK_EQUAL(w01.scale(), 1);
- BOOST_CHECK_EQUAL(w01.shape(), 0);
- skew_normal_distribution<> w23(2., 3); // Using default RealType double.
- BOOST_CHECK_EQUAL(w23.scale(), 3);
- BOOST_CHECK_EQUAL(w23.shape(), 0);
- skew_normal_distribution<> w123(1., 2., 3.); // Using default RealType double.
- BOOST_CHECK_EQUAL(w123.location(), 1.);
- BOOST_CHECK_EQUAL(w123.scale(), 2.);
- BOOST_CHECK_EQUAL(w123.shape(), 3.);
- BOOST_CHECK_CLOSE_FRACTION(mean(w01), static_cast<double>(0), tolfeweps); // Default mean == zero
- BOOST_CHECK_CLOSE_FRACTION(scale(w01), static_cast<double>(1), tolfeweps); // Default scale == unity
- // Basic sanity-check spot values for all floating-point types..
- // (Parameter value, arbitrarily zero, only communicates the floating point type).
- test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
- test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
- #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- test_spots(0.0L); // Test long double.
- #ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
- test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
- #endif
- #else
- std::cout << "<note>The long double tests have been disabled on this platform "
- "either because the long double overloads of the usual math functions are "
- "not available at all, or because they are too inaccurate for these tests "
- "to pass.</note>" << std::endl;
- #endif
- /* */
-
- } // BOOST_AUTO_TEST_CASE( test_main )
- /*
- Output:
- */
|