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- // test_inverse_gamma.cpp
- // Copyright Paul A. Bristow 2010.
- // Copyright John Maddock 2010.
- // 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 : 4224) // nonstandard extension used : formal parameter 'type' was previously defined as a type
- // in Boost.test and lexical_cast
- # pragma warning (disable : 4310) // cast truncates constant value
- #endif
- #include <boost/math/tools/test.hpp>
- #include <boost/math/concepts/real_concept.hpp> // for real_concept
- using ::boost::math::concepts::real_concept;
- //#include <boost/math/tools/test.hpp>
- #define BOOST_TEST_MAIN
- #include <boost/test/unit_test.hpp> // for test_main
- #include <boost/test/tools/floating_point_comparison.hpp> // for BOOST_CHECK_CLOSE_FRACTION
- #include "test_out_of_range.hpp"
- #include <boost/math/distributions/inverse_gamma.hpp> // for inverse_gamma_distribution
- using boost::math::inverse_gamma_distribution;
- using ::boost::math::inverse_gamma;
- // using ::boost::math::cdf;
- // using ::boost::math::pdf;
- #include <boost/math/special_functions/gamma.hpp>
- using boost::math::tgamma; // for naive pdf.
- #include <iostream>
- using std::cout;
- using std::endl;
- #include <limits>
- using std::numeric_limits;
- template <class RealType>
- RealType naive_pdf(RealType shape, RealType scale, RealType x)
- { // Formula from Wikipedia
- using namespace std; // For ADL of std functions.
- using boost::math::tgamma;
- RealType result = (pow(scale, shape) * pow(x, (-shape -1)) * exp(-scale/x) ) / tgamma(shape);
- return result;
- }
- // Test using a spot value from some other reference source,
- // in this case test values from output from R provided by Thomas Mang.
- template <class RealType>
- void test_spot(
- RealType shape, // shape,
- RealType scale, // scale,
- RealType x, // random variate x,
- RealType pd, // expected pdf,
- RealType P, // expected CDF,
- RealType Q, // expected complement of CDF,
- RealType tol) // test tolerance.
- {
- boost::math::inverse_gamma_distribution<RealType> dist(shape, scale);
- BOOST_CHECK_CLOSE_FRACTION
- ( // Compare to expected PDF.
- pdf(dist, x), // calculated.
- pd, // expected
- tol);
- BOOST_CHECK_CLOSE_FRACTION( // Compare to naive formula (might be less accurate).
- pdf(dist, x), naive_pdf(dist.shape(), dist.scale(), x), tol);
- BOOST_CHECK_CLOSE_FRACTION( // Compare to expected CDF.
- cdf(dist, x), P, tol);
- 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);
- BOOST_CHECK_CLOSE_FRACTION(
- quantile(dist, P), x, tol); // quantile(pdf) = x
- BOOST_CHECK_CLOSE_FRACTION(
- quantile(complement(dist, Q)), x, tol);
- }
- } // test_spot
- // Test using a spot value from some other reference source.
- template <class RealType> // Any floating-point type RealType.
- void test_spots(RealType)
- {
- // Basic sanity checks, test data is to six decimal places only
- // so set tolerance to 0.000001 expressed as a percentage = 0.0001%.
- RealType tolerance = 0.000001f; // as fraction.
- cout << "Tolerance = " << tolerance * 100 << "%." << endl;
- // This test values from output from R provided by Thomas Mang.
- test_spot(static_cast<RealType>(2), static_cast<RealType>(1), // shape, scale
- static_cast<RealType>(2.L), // x
- static_cast<RealType>(0.075816332464079136L), // pdf
- static_cast<RealType>(0.90979598956895047L), // cdf
- static_cast<RealType>(1 - 0.90979598956895047L), // cdf complement
- tolerance // tol
- );
- test_spot(static_cast<RealType>(1.593), static_cast<RealType>( 0.5), // shape, scale
- static_cast<RealType>( 0.5), // x
- static_cast<RealType>(0.82415241749687074L), // pdf
- static_cast<RealType>(0.60648042700409865L), // cdf
- static_cast<RealType>(1 - 0.60648042700409865L), // cdf complement
- tolerance // tol
- );
- test_spot(static_cast<RealType>(13.319), static_cast<RealType>(0.5), // shape, scale
- static_cast<RealType>(0.5), // x
- static_cast<RealType>(0.00000000068343206235379223), // pdf
- static_cast<RealType>(0.99999999997242739L), // cdf
- static_cast<RealType>(1 - 0.99999999997242739L), // cdf complement
- tolerance // tol
- );
- test_spot(static_cast<RealType>(1.593), static_cast<RealType>(1), // shape, scale
- static_cast<RealType>(1.977), // x
- static_cast<RealType>(0.11535946773398653L), // pdf
- static_cast<RealType>(0.82449794420341549L), // cdf
- static_cast<RealType>(1 - 0.82449794420341549L), // cdf complement
- tolerance // tol
- );
-
- test_spot(static_cast<RealType>(6.666), static_cast<RealType>(1.411), // shape, scale
- static_cast<RealType>(5), // x
- static_cast<RealType>(0.000000084415758206386872), // pdf
- static_cast<RealType>(0.99999993427280998L), // cdf
- static_cast<RealType>(1 - 0.99999993427280998L), // cdf complement
- tolerance // tol
- );
- // Check some bad parameters to the distribution,
- #ifndef BOOST_NO_EXCEPTIONS
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> igbad1(-1, 0), std::domain_error); // negative shape.
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> igbad2(0, -1), std::domain_error); // negative scale.
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> igbad2(-1, -1), std::domain_error); // negative scale and shape.
- #else
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(-1, 0), std::domain_error); // negative shape.
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(0, -1), std::domain_error); // negative scale.
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(-1, -1), std::domain_error); // negative scale and shape.
- #endif
- inverse_gamma_distribution<RealType> ig21(2, 1);
- if(std::numeric_limits<RealType>::has_infinity)
- {
- BOOST_MATH_CHECK_THROW(pdf(ig21, +std::numeric_limits<RealType>::infinity()), std::domain_error); // x = + infinity, pdf = 0
- BOOST_MATH_CHECK_THROW(pdf(ig21, -std::numeric_limits<RealType>::infinity()), std::domain_error); // x = - infinity, pdf = 0
- BOOST_MATH_CHECK_THROW(cdf(ig21, +std::numeric_limits<RealType>::infinity()),std::domain_error ); // x = + infinity, cdf = 1
- BOOST_MATH_CHECK_THROW(cdf(ig21, -std::numeric_limits<RealType>::infinity()), std::domain_error); // x = - infinity, cdf = 0
- BOOST_MATH_CHECK_THROW(cdf(complement(ig21, +std::numeric_limits<RealType>::infinity())), std::domain_error); // x = + infinity, c cdf = 0
- BOOST_MATH_CHECK_THROW(cdf(complement(ig21, -std::numeric_limits<RealType>::infinity())), std::domain_error); // x = - infinity, c cdf = 1
- #ifndef BOOST_NO_EXCEPTIONS
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> nbad1(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> nbad1(-std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // -infinite mean
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType> nbad1(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()), std::domain_error); // infinite sd
- #else
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // +infinite mean
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_distribution<RealType>(-std::numeric_limits<RealType>::infinity(), static_cast<RealType>(1)), std::domain_error); // -infinite mean
- BOOST_MATH_CHECK_THROW(boost::math::inverse_gamma_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(ig21, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
- BOOST_MATH_CHECK_THROW(cdf(ig21, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // x = NaN
- BOOST_MATH_CHECK_THROW(cdf(complement(ig21, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // x = + infinity
- BOOST_MATH_CHECK_THROW(quantile(ig21, +std::numeric_limits<RealType>::quiet_NaN()), std::domain_error); // p = + infinity
- BOOST_MATH_CHECK_THROW(quantile(complement(ig21, +std::numeric_limits<RealType>::quiet_NaN())), std::domain_error); // p = + infinity
- }
- // Spot check for pdf using 'naive pdf' function
- for(RealType x = 0.5; x < 5; x += 0.5)
- {
- BOOST_CHECK_CLOSE_FRACTION(
- pdf(inverse_gamma_distribution<RealType>(5, 6), x),
- naive_pdf(RealType(5), RealType(6), x),
- tolerance);
- } // Spot checks for parameters:
- RealType tol_few_eps = boost::math::tools::epsilon<RealType>() * 5; // 5 eps as a fraction.
- inverse_gamma_distribution<RealType> dist51(5, 1);
- inverse_gamma_distribution<RealType> dist52(5, 2);
- inverse_gamma_distribution<RealType> dist31(3, 1);
- inverse_gamma_distribution<RealType> dist111(11, 1);
- // 11 mean 0.10000000000000001, variance 0.0011111111111111111, sd 0.033333333333333333
- RealType x = static_cast<RealType>(0.125);
- using namespace std; // ADL of std names.
- using namespace boost::math;
- // mean, variance etc
- BOOST_CHECK_CLOSE_FRACTION(mean(dist52), static_cast<RealType>(0.5), tol_few_eps);
- BOOST_CHECK_CLOSE_FRACTION(mean(dist111), static_cast<RealType>(0.1L), tol_few_eps);
- inverse_gamma_distribution<RealType> igamma41(static_cast<RealType>(4.), static_cast<RealType>(1.) );
- BOOST_CHECK_CLOSE_FRACTION(mean(igamma41), static_cast<RealType>(0.3333333333333333333333333333333333333333333333333333333L), tol_few_eps);
- // variance:
- BOOST_CHECK_CLOSE_FRACTION(variance(dist51), static_cast<RealType>(0.0208333333333333333333333333333333333333333333333333L), tol_few_eps);
- BOOST_CHECK_CLOSE_FRACTION(variance(dist31), static_cast<RealType>(0.25), tol_few_eps);
- BOOST_CHECK_CLOSE_FRACTION(variance(dist111), static_cast<RealType>(0.001111111111111111111111111111111111111111111111111L), tol_few_eps);
- // std deviation:
- BOOST_CHECK_CLOSE_FRACTION(standard_deviation(dist31), static_cast<RealType>(0.5), tol_few_eps);
- BOOST_CHECK_CLOSE_FRACTION(standard_deviation(dist111), static_cast<RealType>(0.0333333333333333333333333333333333333333333333333L), tol_few_eps);
- // hazard:
- BOOST_CHECK_CLOSE_FRACTION(hazard(dist51, x), pdf(dist51, x) / cdf(complement(dist51, x)), tol_few_eps);
- // cumulative hazard:
- BOOST_CHECK_CLOSE_FRACTION(chf(dist51, x), -log(cdf(complement(dist51, x))), tol_few_eps);
- // coefficient_of_variation:
- BOOST_CHECK_CLOSE_FRACTION(coefficient_of_variation(dist51), standard_deviation(dist51) / mean(dist51), tol_few_eps);
- // mode:
- BOOST_CHECK_CLOSE_FRACTION(mode(dist51), static_cast<RealType>(0.166666666666666666666666666666666666666666666666666L), tol_few_eps);
- // median
- //BOOST_CHECK_CLOSE_FRACTION(median(dist52), static_cast<RealType>(0), tol_few_eps);
- // Useful to have an exact median? Failing that use a loop back test.
- BOOST_CHECK_CLOSE_FRACTION(cdf(dist111, median(dist111)), 0.5, tol_few_eps);
- // skewness:
- BOOST_CHECK_CLOSE_FRACTION(skewness(dist111), static_cast<RealType>(1.5), tol_few_eps);
- //kurtosis:
- BOOST_CHECK_CLOSE_FRACTION(kurtosis(dist51), static_cast<RealType>(42 + 3), tol_few_eps);
- // kurtosis excess:
- BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(dist51), static_cast<RealType>(42), tol_few_eps);
- tol_few_eps = boost::math::tools::epsilon<RealType>() * 3; // 3 eps as a percentage.
- // Special and limit cases:
- if(std::numeric_limits<RealType>::is_specialized)
- {
- RealType mx = (std::numeric_limits<RealType>::max)();
- RealType mi = (std::numeric_limits<RealType>::min)();
- BOOST_CHECK_EQUAL(
- pdf(inverse_gamma_distribution<RealType>(1),
- static_cast<RealType>(mx)), // max()
- static_cast<RealType>(0)
- );
- BOOST_CHECK_EQUAL(
- pdf(inverse_gamma_distribution<RealType>(1),
- static_cast<RealType>(mi)), // min()
- static_cast<RealType>(0)
- );
- }
- BOOST_CHECK_EQUAL(
- pdf(inverse_gamma_distribution<RealType>(1), static_cast<RealType>(0)), static_cast<RealType>(0));
- BOOST_CHECK_EQUAL(
- pdf(inverse_gamma_distribution<RealType>(3), static_cast<RealType>(0))
- , static_cast<RealType>(0.0f));
- BOOST_CHECK_EQUAL(
- cdf(inverse_gamma_distribution<RealType>(1), static_cast<RealType>(0))
- , static_cast<RealType>(0.0f));
- BOOST_CHECK_EQUAL(
- cdf(inverse_gamma_distribution<RealType>(2), static_cast<RealType>(0))
- , static_cast<RealType>(0.0f));
- BOOST_CHECK_EQUAL(
- cdf(inverse_gamma_distribution<RealType>(3), static_cast<RealType>(0))
- , static_cast<RealType>(0.0f));
- BOOST_CHECK_EQUAL(
- cdf(complement(inverse_gamma_distribution<RealType>(1), static_cast<RealType>(0)))
- , static_cast<RealType>(1));
- BOOST_CHECK_EQUAL(
- cdf(complement(inverse_gamma_distribution<RealType>(2), static_cast<RealType>(0)))
- , static_cast<RealType>(1));
- BOOST_CHECK_EQUAL(
- cdf(complement(inverse_gamma_distribution<RealType>(3), static_cast<RealType>(0)))
- , static_cast<RealType>(1));
- BOOST_MATH_CHECK_THROW(
- pdf(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)), // shape negative.
- static_cast<RealType>(1)), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- pdf(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
- static_cast<RealType>(-1)), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- cdf(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
- static_cast<RealType>(1)), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- cdf(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
- static_cast<RealType>(-1)), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- cdf(complement(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
- static_cast<RealType>(1))), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- cdf(complement(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
- static_cast<RealType>(-1))), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- quantile(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
- static_cast<RealType>(0.5)), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- quantile(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
- static_cast<RealType>(-1)), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- quantile(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
- static_cast<RealType>(1.1)), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- quantile(complement(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(-1)),
- static_cast<RealType>(0.5))), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- quantile(complement(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
- static_cast<RealType>(-1))), std::domain_error
- );
- BOOST_MATH_CHECK_THROW(
- quantile(complement(
- inverse_gamma_distribution<RealType>(static_cast<RealType>(8)),
- static_cast<RealType>(1.1))), std::domain_error
- );
- check_out_of_range<inverse_gamma_distribution<RealType> >(1, 1);
- } // template <class RealType>void test_spots(RealType)
- BOOST_AUTO_TEST_CASE( test_main )
- {
- BOOST_MATH_CONTROL_FP;
- // Check that can generate inverse_gamma distribution using the two convenience methods:
- // inverse_gamma_distribution; // with default parameters, shape = 1, scale - 1
- using boost::math::inverse_gamma;
- inverse_gamma ig2(2.); // Using typedef and shape parameter (and default scale = 1).
- BOOST_CHECK_EQUAL(ig2.shape(), 2.); // scale == 2.
- BOOST_CHECK_EQUAL(ig2.scale(), 1.); // scale == 1 (default).
- inverse_gamma ig; // Using typedef, type double and default values, shape = 1 and scale = 1
- // check default is (1, 1)
- BOOST_CHECK_EQUAL(ig.shape(), 1.); // shape == 1
- BOOST_CHECK_EQUAL(ig.scale(), 1.); // scale == 1
- BOOST_CHECK_EQUAL(mode(ig), 0.5); // mode = 1/2
- // Used to find some 'exact' values for testing mean, variance ...
- //for (int shape = 4; shape < 30; shape++)
- // {
- // inverse_gamma ig(shape, 1);
- // cout.precision(17);
- // cout << shape << ' ' << mean(ig) << ' ' << variance(ig) << ' ' << standard_deviation(ig)
- // << ' ' << median(ig) << endl;
- // }
- // and "using boost::math::inverse_gamma_distribution;".
- inverse_gamma_distribution<> ig23(2., 3.); // Using default RealType double.
- BOOST_CHECK_EQUAL(ig23.shape(), 2.); //
- BOOST_CHECK_EQUAL(ig23.scale(), 3.); //
- inverse_gamma_distribution<float> igf23(1.f, 2.f); // Using explicit RealType float.
- BOOST_CHECK_EQUAL(igf23.shape(), 1.f); //
- BOOST_CHECK_EQUAL(igf23.scale(), 2.f); //
- // Some tests using default double.
- double tol5eps = boost::math::tools::epsilon<double>() * 5; // 5 eps as a fraction.
- inverse_gamma_distribution<double> ig102(10., 2.); //
- BOOST_CHECK_EQUAL(ig102.shape(), 10.); //
- BOOST_CHECK_EQUAL(ig102.scale(), 2.); //
- // formatC(SuppDists::dinvGauss(10, 1, 0.5), digits=17)[1] "0.0011774669940754754"
- BOOST_CHECK_CLOSE_FRACTION(pdf(ig102, 0.5), 0.1058495335284024, tol5eps);
- // formatC(SuppDists::pinvGauss(10, 1, 0.5), digits=17) [1] "0.99681494462166653"
- BOOST_CHECK_CLOSE_FRACTION(cdf(ig102, 0.5), 0.99186775720306608, tol5eps);
- BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.05), 0.12734622346137681, tol5eps);
- BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.5), 0.20685272858879727, tol5eps);
- BOOST_CHECK_CLOSE_FRACTION(quantile(ig102, 0.95), 0.36863602680851204, tol5eps);
- // Check mean, etc spot values.
- inverse_gamma_distribution<double> ig51(5., 1.); // shape = 5, scale = 1
- BOOST_CHECK_CLOSE_FRACTION(mean(ig51), 0.25, tol5eps);
- BOOST_CHECK_CLOSE_FRACTION(variance(ig51), 0.0208333333333333333333333333333333333333333, tol5eps);
- BOOST_CHECK_CLOSE_FRACTION(skewness(ig51), 2 * std::sqrt(3.), tol5eps);
- BOOST_CHECK_CLOSE_FRACTION(kurtosis_excess(ig51), 42, tol5eps);
- // mode and median
- inverse_gamma_distribution<double> ig21(1., 2.);
- BOOST_CHECK_CLOSE_FRACTION(mode(ig21), 1, tol5eps);
- BOOST_CHECK_CLOSE_FRACTION(median(ig21), 2.8853900817779268, tol5eps);
- BOOST_CHECK_CLOSE_FRACTION(quantile(ig21, 0.5), 2.8853900817779268, tol5eps);
- BOOST_CHECK_CLOSE_FRACTION(cdf(ig21, median(ig21)), 0.5, tol5eps);
- // Check throws from bad parameters.
- inverse_gamma ig051(0.5, 1.); // shape < 1, so wrong for mean.
- BOOST_MATH_CHECK_THROW(mean(ig051), std::domain_error);
- inverse_gamma ig191(1.9999, 1.); // shape < 2, so wrong for variance.
- BOOST_MATH_CHECK_THROW(variance(ig191), std::domain_error);
- inverse_gamma ig291(2.9999, 1.); // shape < 3, so wrong for skewness.
- BOOST_MATH_CHECK_THROW(skewness(ig291), std::domain_error);
- inverse_gamma ig391(3.9999, 1.); // shape < 1, so wrong for kurtosis and kurtosis_excess.
- BOOST_MATH_CHECK_THROW(kurtosis(ig391), std::domain_error);
- BOOST_MATH_CHECK_THROW(kurtosis_excess(ig391), std::domain_error);
- // 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.
- #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:
- ------ Build started: Project: test_inverse_gamma_distribution, Configuration: Release Win32 ------
- test_inverse_gamma_distribution.cpp
- Generating code
- Finished generating code
- test_inverse_gamma_distribution.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Release\test_inverse_gamma_distribution.exe
- Running 1 test case...
- Tolerance = 0.0001%.
- Tolerance = 0.0001%.
- Tolerance = 0.0001%.
- Tolerance = 0.0001%.
- *** No errors detected
- ========== Build: 1 succeeded, 0 failed, 0 up-to-date, 0 skipped ==========
- */
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