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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-27 18:24:20 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-27 18:24:20 +0000 |
commit | 483eb2f56657e8e7f419ab1a4fab8dce9ade8609 (patch) | |
tree | e5d88d25d870d5dedacb6bbdbe2a966086a0a5cf /src/boost/libs/math/test/test_lognormal.cpp | |
parent | Initial commit. (diff) | |
download | ceph-upstream.tar.xz ceph-upstream.zip |
Adding upstream version 14.2.21.upstream/14.2.21upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/boost/libs/math/test/test_lognormal.cpp')
-rw-r--r-- | src/boost/libs/math/test/test_lognormal.cpp | 314 |
1 files changed, 314 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_lognormal.cpp b/src/boost/libs/math/test/test_lognormal.cpp new file mode 100644 index 00000000..d124c06c --- /dev/null +++ b/src/boost/libs/math/test/test_lognormal.cpp @@ -0,0 +1,314 @@ +// Copyright John Maddock 2006. +// Copyright Paul A. Bristow 2007 + +// 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) + +// test_lognormal.cpp + +#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/lognormal.hpp> + using boost::math::lognormal_distribution; +#include <boost/math/tools/test.hpp> +#include "test_out_of_range.hpp" + +#include <iostream> + using std::cout; + using std::endl; + using std::setprecision; +#include <limits> + using std::numeric_limits; +#include <cassert> + +template <class RealType> +void check_lognormal(RealType loc, RealType scale, RealType x, RealType p, RealType q, RealType tol) +{ + BOOST_CHECK_CLOSE( + ::boost::math::cdf( + lognormal_distribution<RealType>(loc, scale), // distribution. + x), // random variable. + p, // probability. + tol); // %tolerance. + BOOST_CHECK_CLOSE( + ::boost::math::cdf( + complement( + lognormal_distribution<RealType>(loc, scale), // distribution. + x)), // random variable. + q, // probability complement. + tol); // %tolerance. + BOOST_CHECK_CLOSE( + ::boost::math::quantile( + lognormal_distribution<RealType>(loc, scale), // distribution. + p), // probability. + x, // random variable. + tol); // %tolerance. + BOOST_CHECK_CLOSE( + ::boost::math::quantile( + complement( + lognormal_distribution<RealType>(loc, scale), // distribution. + q)), // probability complement. + x, // random variable. + tol); // %tolerance. +} + +template <class RealType> +void test_spots(RealType) +{ + + // Basic sanity checks. + RealType tolerance = 5e-3 * 100; + // Some tests only pass at 1e-4 because values generated by + // http://faculty.vassar.edu/lowry/VassarStats.html + // give only 5 or 6 *fixed* places, so small values have fewer digits. + + cout << "Tolerance for type " << typeid(RealType).name() << " is " << tolerance << " %" << endl; + + using std::exp; + + // + // These test values were generated for the normal distribution + // using the online calculator at http://faculty.vassar.edu/lowry/VassarStats.html + // and then exponentiating the random variate x. + // + + check_lognormal( + static_cast<RealType>(0), // location + static_cast<RealType>(5), // scale + static_cast<RealType>(1), // x + static_cast<RealType>(0.5), // p + static_cast<RealType>(0.5), // q + tolerance); + check_lognormal( + static_cast<RealType>(2), // location + static_cast<RealType>(2), // scale + static_cast<RealType>(exp(1.8)), // x + static_cast<RealType>(0.46017), // p + static_cast<RealType>(1-0.46017), // q + tolerance); + check_lognormal( + static_cast<RealType>(2), // location + static_cast<RealType>(2), // scale + static_cast<RealType>(exp(2.2)), // x + static_cast<RealType>(1-0.46017), // p + static_cast<RealType>(0.46017), // q + tolerance); + check_lognormal( + static_cast<RealType>(2), // location + static_cast<RealType>(2), // scale + static_cast<RealType>(exp(-1.4)), // x + static_cast<RealType>(0.04457), // p + static_cast<RealType>(1-0.04457), // q + tolerance); + check_lognormal( + static_cast<RealType>(2), // location + static_cast<RealType>(2), // scale + static_cast<RealType>(exp(5.4)), // x + static_cast<RealType>(1-0.04457), // p + static_cast<RealType>(0.04457), // q + tolerance); + + check_lognormal( + static_cast<RealType>(-3), // location + static_cast<RealType>(5), // scale + static_cast<RealType>(exp(-5.0)), // x + static_cast<RealType>(0.34458), // p + static_cast<RealType>(1-0.34458), // q + tolerance); + check_lognormal( + static_cast<RealType>(-3), // location + static_cast<RealType>(5), // scale + static_cast<RealType>(exp(-1.0)), // x + static_cast<RealType>(1-0.34458), // p + static_cast<RealType>(0.34458), // q + tolerance); + check_lognormal( + static_cast<RealType>(-3), // location + static_cast<RealType>(5), // scale + static_cast<RealType>(exp(-9.0)), // x + static_cast<RealType>(0.11507), // p + static_cast<RealType>(1-0.11507), // q + tolerance); + check_lognormal( + static_cast<RealType>(-3), // location + static_cast<RealType>(5), // scale + static_cast<RealType>(exp(3.0)), // x + static_cast<RealType>(1-0.11507), // p + static_cast<RealType>(0.11507), // q + tolerance); + + // + // Tests for PDF + // + tolerance = boost::math::tools::epsilon<RealType>() * 5 * 100; // 5 eps as a percentage + cout << "Tolerance for type " << typeid(RealType).name() << " is " << tolerance << " %" << endl; + BOOST_CHECK_CLOSE( + pdf(lognormal_distribution<RealType>(), static_cast<RealType>(1)), + static_cast<RealType>(0.3989422804014326779399460599343818684759L), // 1/sqrt(2*pi) + tolerance); + BOOST_CHECK_CLOSE( + pdf(lognormal_distribution<RealType>(3), exp(static_cast<RealType>(3))), + static_cast<RealType>(0.3989422804014326779399460599343818684759L) / exp(static_cast<RealType>(3)), + tolerance); + BOOST_CHECK_CLOSE( + pdf(lognormal_distribution<RealType>(3, 5), exp(static_cast<RealType>(3))), + static_cast<RealType>(0.3989422804014326779399460599343818684759L / (5 * exp(static_cast<RealType>(3)))), + tolerance); + // + // Spot checks for location = -5, scale = 6, + // use relation to normal to test: + // + for(RealType x = -15; x < 5; x += 0.125) + { + BOOST_CHECK_CLOSE( + pdf(lognormal_distribution<RealType>(-5, 6), exp(x)), + pdf(boost::math::normal_distribution<RealType>(-5, 6), x) / exp(x), + tolerance); + } + + // + // These test values were obtained by punching numbers into + // a calculator, using the formulas at http://mathworld.wolfram.com/LogNormalDistribution.html + // + tolerance = (std::max)( + boost::math::tools::epsilon<RealType>(), + static_cast<RealType>(boost::math::tools::epsilon<double>())) * 5 * 100; // 5 eps as a percentage + cout << "Tolerance for type " << typeid(RealType).name() << " is " << tolerance << " %" << endl; + lognormal_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>(268337.28652087445695647967378715L), tolerance); + // variance: + BOOST_CHECK_CLOSE( + variance(dist) + , static_cast<RealType>(583389737628117.49553037857325892L), tolerance); + // std deviation: + BOOST_CHECK_CLOSE( + standard_deviation(dist) + , static_cast<RealType>(24153462.228594009489719473727471L), tolerance); + // hazard: + BOOST_CHECK_CLOSE( + hazard(dist, x) + , pdf(dist, x) / cdf(complement(dist, x)), tolerance); + // cumulative hazard: + BOOST_CHECK_CLOSE( + chf(dist, x) + , -log(cdf(complement(dist, x))), tolerance); + // coefficient_of_variation: + BOOST_CHECK_CLOSE( + coefficient_of_variation(dist) + , standard_deviation(dist) / mean(dist), tolerance); + // mode: + BOOST_CHECK_CLOSE( + mode(dist) + , static_cast<RealType>(0.36787944117144232159552377016146L), tolerance); + + BOOST_CHECK_CLOSE( + median(dist) + , static_cast<RealType>(exp(dist.location())), tolerance); + + BOOST_CHECK_CLOSE( + median(dist), + quantile(dist, static_cast<RealType>(0.5)), tolerance); + + // skewness: + BOOST_CHECK_CLOSE( + skewness(dist) + , static_cast<RealType>(729551.38304660255658441529235697L), tolerance); + // kertosis: + BOOST_CHECK_CLOSE( + kurtosis(dist) + , static_cast<RealType>(4312295840576303.2363383232038251L), tolerance); + // kertosis excess: + BOOST_CHECK_CLOSE( + kurtosis_excess(dist) + , static_cast<RealType>(4312295840576300.2363383232038251L), tolerance); + + BOOST_CHECK_CLOSE( + range(dist).first + , static_cast<RealType>(0), tolerance); + + // + // Special cases: + // + BOOST_CHECK(pdf(dist, 0) == 0); + BOOST_CHECK(cdf(dist, 0) == 0); + BOOST_CHECK(cdf(complement(dist, 0)) == 1); + BOOST_CHECK(quantile(dist, 0) == 0); + BOOST_CHECK(quantile(complement(dist, 1)) == 0); + + // + // Error checks: + // + BOOST_MATH_CHECK_THROW(lognormal_distribution<RealType>(0, 0), std::domain_error); + BOOST_MATH_CHECK_THROW(lognormal_distribution<RealType>(2, -1), std::domain_error); + BOOST_MATH_CHECK_THROW(pdf(dist, -1), std::domain_error); + BOOST_MATH_CHECK_THROW(cdf(dist, -1), std::domain_error); + BOOST_MATH_CHECK_THROW(cdf(complement(dist, -1)), std::domain_error); + BOOST_MATH_CHECK_THROW(quantile(dist, 1), std::overflow_error); + BOOST_MATH_CHECK_THROW(quantile(complement(dist, 0)), std::overflow_error); + check_out_of_range<lognormal_distribution<RealType> >(1, 2); + +} // template <class RealType>void test_spots(RealType) + +BOOST_AUTO_TEST_CASE( test_main ) +{ + + // Check that can generate lognormal distribution using the two convenience methods: + boost::math::lognormal myf1(1., 2); // Using typedef + lognormal_distribution<> myf2(1., 2); // Using default RealType double. + + // Test range and support using double only, + // because it supports numeric_limits max for a pseudo-infinity. + BOOST_CHECK_EQUAL(range(myf2).first, 0); // range 0 to +infinity + BOOST_CHECK_EQUAL(range(myf2).second, (std::numeric_limits<double>::max)()); + BOOST_CHECK_EQUAL(support(myf2).first, 0); // support 0 to + infinity. + BOOST_CHECK_EQUAL(support(myf2).second, (std::numeric_limits<double>::max)()); + + // Basic sanity-check spot values. + // (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. +#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582)) + 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 ) + +/* +Running 1 test case... +Tolerance for type float is 0.5 % +Tolerance for type float is 5.96046e-005 % +Tolerance for type float is 5.96046e-005 % +Tolerance for type double is 0.5 % +Tolerance for type double is 1.11022e-013 % +Tolerance for type double is 1.11022e-013 % +Tolerance for type long double is 0.5 % +Tolerance for type long double is 1.11022e-013 % +Tolerance for type long double is 1.11022e-013 % +Tolerance for type class boost::math::concepts::real_concept is 0.5 % +Tolerance for type class boost::math::concepts::real_concept is 1.11022e-013 % +Tolerance for type class boost::math::concepts::real_concept is 1.11022e-013 % +*** No errors detected +*/ + + |