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// Copyright Paul Bristow 2007.
// Copyright John Maddock 2006.
// 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_constants.cpp
#include <boost/math/concepts/real_concept.hpp> // for real_concept
#include <boost/test/included/test_exec_monitor.hpp> // Boost.Test
#include <boost/test/floating_point_comparison.hpp>
#include <boost/math/constants/constants.hpp>
#include <boost/math/tools/test.hpp>
template <class RealType>
void test_spots(RealType)
{
// Basic sanity checks for constants.
RealType tolerance = static_cast<RealType>(2e-15); // double
//cout << "Tolerance for type " << typeid(T).name() << " is " << tolerance << "." << endl;
using namespace boost::math::constants;
using namespace std; // Help ADL of std exp, log...
using std::exp;
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(3.14159265358979323846264338327950288419716939937510L), pi<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(sqrt(3.14159265358979323846264338327950288419716939937510L)), root_pi<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(sqrt(3.14159265358979323846264338327950288419716939937510L/2)), root_half_pi<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(sqrt(3.14159265358979323846264338327950288419716939937510L * 2)), root_two_pi<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(sqrt(log(4.0L))), root_ln_four<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(2.71828182845904523536028747135266249775724709369995L), e<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.5), half<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.57721566490153286060651209008240243104259335L), euler<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(sqrt(2.0L)), root_two<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(log(2.0L)), ln_two<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(log(log(2.0L))), ln_ln_two<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(1)/3, third<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(2)/3, twothirds<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(4. - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi<RealType>(), tolerance);
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(pow((4 - 3.14159265358979323846264338327950288419716939937510L), 1.5L)), pow23_four_minus_pi<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(exp(-0.5L)), exp_minus_half<RealType>(), tolerance);
#else
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5)), pow23_four_minus_pi<RealType>(), tolerance);
BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(exp(-0.5)), exp_minus_half<RealType>(), tolerance);
#endif
} // template <class RealType>void test_spots(RealType)
int test_main(int, char* [])
{
// 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::cout;
#endif
return 0;
} // int test_main(int, char* [])
/*
Output:
Autorun "i:\boost-06-05-03-1300\libs\math\test\Math_test\debug\test_constants.exe"
Running 1 test case...
*** No errors detected
*/
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