File: powm1_sqrtp1m1_test.cpp

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///////////////////////////////////////////////////////////////
//  Copyright Christopher Kormanyos 2002 - 2011.
//  Copyright 2011 John Maddock. Distributed under the Boost
//  Software License, Version 1.0. (See accompanying file
//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
//
// This work is based on an earlier work:
// "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
// in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469

#include "setup.hpp"
#define BOOST_TEST_MAIN
#include <boost/test/unit_test.hpp>
#include <boost/test/floating_point_comparison.hpp>
#include <boost/math/special_functions/math_fwd.hpp>

#include "table_type.hpp"

#include "libs/math/test/powm1_sqrtp1m1_test.hpp"

//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the functions log1p and expm1.  The accuracy tests
// use values generated with NTL::RR at 1000-bit precision
// and our generic versions of these functions.
//
// Note that when this file is first run on a new platform many of
// these tests will fail: the default accuracy is 1 epsilon which
// is too tight for most platforms.  In this situation you will
// need to cast a human eye over the error rates reported and make
// a judgement as to whether they are acceptable.  Either way please
// report the results to the Boost mailing list.  Acceptable rates of
// error are marked up below as a series of regular expressions that
// identify the compiler/stdlib/platform/data-type/test-data/test-function
// along with the maximum expected peek and RMS mean errors for that
// test.
//

void expected_results()
{
   //
   // Define the max and mean errors expected for
   // various compilers and platforms.
   //

   //
   // Catch all cases come last:
   //
   add_expected_result(
      ".*",                          // compiler
      ".*",                          // stdlib
      ".*",                          // platform
      ".*mpfr_float_backend<18>.*",  // test type(s)
      ".*",                          // test data group
      ".*",                          // test function
      300,                           // Max Peek error
      50);                           // Max mean error
   add_expected_result(
      ".*",                          // compiler
      ".*",                          // stdlib
      ".*",                          // platform
      ".*",                          // test type(s)
      ".*",                          // test data group
      ".*",                          // test function
      15,                             // Max Peek error
      5);                            // Max mean error

   //
   // Finish off by printing out the compiler/stdlib/platform names,
   // we do this to make it easier to mark up expected error rates.
   //
   std::cout << "Tests run with " << BOOST_COMPILER << ", "
      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}

template <class T>
void test(T t, const char* p)
{
   test_powm1_sqrtp1m1(t, p);
}

BOOST_AUTO_TEST_CASE( test_main )
{
   using namespace boost::multiprecision;
   expected_results();
   //
   // We test two different precisions:
   // 18 decimal digits triggers Boost.Math's 64-bit long double support.
   // 30 decimal digits triggers Boost.Math's 128-bit long double support.
   // 35 decimal digits triggers true arbitrary precision support.
   //
   ALL_SMALL_TESTS
}