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- // test_find_location.cpp
- // Copyright John Maddock 2007.
- // 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)
- // Basic sanity test for find_location function.
- // Default domain error policy is
- // #define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
- #include <pch.hpp>
- #include <boost/math/tools/test.hpp>
- #include <boost/math/concepts/real_concept.hpp> // for real_concept
- #include <boost/math/distributions/normal.hpp> // for normal_distribution
- using boost::math::normal; // Default type double.
- using boost::math::normal_distribution; // All floating-point types.
- #include <boost/math/distributions/cauchy.hpp> // for cauchy_distribution
- using boost::math::cauchy;
- #include <boost/math/distributions/pareto.hpp> // for cauchy_distribution
- using boost::math::pareto;
- #include <boost/math/distributions/find_location.hpp>
- using boost::math::find_location;
- using boost::math::complement;// will be needed by users who want complement,
- #include <boost/math/policies/policy.hpp>
- using boost::math::policies::policy;
- #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, BOOST_CHECK_EQUAL...
- #include <iostream>
- #include <iomanip>
- using std::cout; using std::endl; using std::fixed;
- using std::right; using std::left; using std::showpoint;
- using std::showpos; using std::setw; using std::setprecision;
- #include <limits>
- using std::numeric_limits;
- template <class RealType> // Any floating-point type RealType.
- void test_spots(RealType)
- { // Parameter only provides the type, float, double... value ignored.
- // Basic sanity checks, test data may be to double precision only
- // so set tolerance to 100 eps expressed as a fraction,
- // or 100 eps of type double expressed as a fraction,
- // whichever is the larger.
- RealType tolerance = (std::max)
- (boost::math::tools::epsilon<RealType>(),
- static_cast<RealType>(std::numeric_limits<double>::epsilon()));
- tolerance *= 100; // 100 eps as a fraction.
- cout << "Tolerance for type " << typeid(RealType).name() << " is "
- << setprecision(3) << tolerance << " (or " << tolerance * 100 << "%)." << endl;
- BOOST_MATH_CHECK_THROW( // Probability outside 0 to 1.
- find_location<normal_distribution<RealType> >(
- static_cast<RealType>(0.), static_cast<RealType>(-1.), static_cast<RealType>(0.) ),
- std::domain_error);
-
- normal_distribution<RealType> n; // standard N(0,1)
- BOOST_CHECK_EQUAL(n.location(), 0); // aka mean.
- BOOST_CHECK_EQUAL(n.scale(), 1); // aka standard_deviation.
- // Check for 'bad' arguments.
- BOOST_MATH_CHECK_THROW(find_location<normal>(0., -1., 0.), std::domain_error); // p below 0 to 1.
- BOOST_MATH_CHECK_THROW(find_location<normal>(0., 2., 0.), std::domain_error); // p above 0 to 1.
- BOOST_MATH_CHECK_THROW(find_location<normal>(numeric_limits<double>::infinity(), 0.5, 0.),
- std::domain_error); // z not finite.
- BOOST_MATH_CHECK_THROW(find_location<normal>(numeric_limits<double>::quiet_NaN(), -1., 0.),
- std::domain_error); // z not finite
- BOOST_MATH_CHECK_THROW(find_location<normal>(0., -1., numeric_limits<double>::quiet_NaN()),
- std::domain_error); // scale not finite
- BOOST_MATH_CHECK_THROW(find_location<normal>(complement(0., -1., 0.)), std::domain_error); // p below 0 to 1.
- BOOST_MATH_CHECK_THROW(find_location<normal>(complement(0., 2., 0.)), std::domain_error); // p above 0 to 1.
- BOOST_MATH_CHECK_THROW(find_location<normal>(complement(numeric_limits<double>::infinity(), 0.5, 0.)),
- std::domain_error); // z not finite.
- BOOST_MATH_CHECK_THROW(find_location<normal>(complement(numeric_limits<double>::quiet_NaN(), -1., 0.)),
- std::domain_error); // z not finite
- BOOST_MATH_CHECK_THROW(find_location<normal>(complement(0., -1., numeric_limits<double>::quiet_NaN())),
- std::domain_error); // scale not finite
- //// Check for ab-use with unsuitable distribution(s) when concept check implemented.
- // BOOST_MATH_CHECK_THROW(find_location<pareto>(0., 0.5, 0.), std::domain_error); // pareto can't be used with find_location.
- // Check doesn't throw when an ignore_error for domain_error policy is used.
- using boost::math::policies::policy;
- using boost::math::policies::domain_error;
- using boost::math::policies::ignore_error;
- // Define a (bad?) policy to ignore domain errors ('bad' arguments):
- typedef policy<domain_error<ignore_error> > ignore_domain_policy;
- // Using a typedef is convenient, especially if it is re-used.
- #ifndef BOOST_NO_EXCEPTIONS
- BOOST_CHECK_NO_THROW(find_location<normal>(0, -1, 1,
- ignore_domain_policy())); // probability outside [0, 1]
- BOOST_CHECK_NO_THROW(find_location<normal>(numeric_limits<double>::infinity(), -1, 1,
- ignore_domain_policy())); // z not finite.
- BOOST_CHECK_NO_THROW(find_location<normal>(complement(0, -1, 1,
- ignore_domain_policy()))); // probability outside [0, 1]
- BOOST_CHECK_NO_THROW(find_location<normal>(complement(numeric_limits<double>::infinity(), -1, 1,
- ignore_domain_policy()))); // z not finite.
- #endif
- // Find location to give a probability p (0.05) of z (-2)
- RealType sd = static_cast<RealType>(1); // normal default standard deviation = 1.
- RealType z = static_cast<RealType>(-2); // z to give prob p
- RealType p = static_cast<RealType>(0.05); // only 5% will be below z
- RealType l = find_location<normal_distribution<RealType> >(z, p, sd);
- // cout << z << " " << p << " " << sd << " " << l << endl;
- normal_distribution<RealType> np05pc(l, sd); // Same standard_deviation (scale) but with mean(location) shifted.
- // cout << "Normal distribution with mean = " << l << " has " << "fraction <= " << z << " = " << cdf(np05pc, z) << endl;
- // Check cdf such that only fraction p really is below offset mean l.
- BOOST_CHECK_CLOSE_FRACTION(p, cdf(np05pc, z), tolerance);
- // Check that some policies can be applied (though not used here).
- l = find_location<normal_distribution<RealType> >(z, p, sd, policy<>()); // Default policy, needs using boost::math::policies::policy;
- l = find_location<normal_distribution<RealType> >(z, p, sd, boost::math::policies::policy<>()); // Default policy, fully specified.
- l = find_location<normal_distribution<RealType> >(z, p, sd, ignore_domain_policy()); // find_location with new policy, using typedef.
- l = find_location<normal_distribution<RealType> >(z, p, sd, policy<domain_error<ignore_error> >()); // New policy, without typedef.
- // Check that can use the complement version.
- RealType q = 1 - p; // complement.
- // cout << "find_location<normal_distribution<RealType> >(complement(z, q, sd)) = " << endl;
- l = find_location<normal_distribution<RealType> >(complement(z, q, sd));
- normal_distribution<RealType> np95pc(l, sd); // Same standard_deviation (scale) but with mean(location) shifted
- // cout << "Normal distribution with mean = " << l << " has " << "fraction <= " << z << " = " << cdf(np95pc, z) << endl;
- BOOST_CHECK_CLOSE_FRACTION(q, cdf(np95pc, z), tolerance);
- } // template <class RealType>void test_spots(RealType)
- BOOST_AUTO_TEST_CASE( test_main )
- {
- // Basic sanity-check spot values.
- // (Parameter value, arbitrarily zero, only communicates the floating-point type).
- test_spots(0.0F); // Test float.
- test_spots(0.0); // Test double.
- #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 )
- /*
- Output is:
- Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_find_location.exe"
- Running 1 test case...
- Tolerance for type float is 1.19e-005 (or 0.00119%).
- Tolerance for type double is 2.22e-014 (or 2.22e-012%).
- Tolerance for type long double is 2.22e-014 (or 2.22e-012%).
- Tolerance for type class boost::math::concepts::real_concept is 2.22e-014 (or 2.22e-012%).
- *** No errors detected
- */
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