310 lines
13 KiB
C++
310 lines
13 KiB
C++
// Copyright (c) 2013 Anton Bikineev
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#include "pch_light.hpp"
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#include "test_bessel_j_prime.hpp"
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//
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// DESCRIPTION:
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// ~~~~~~~~~~~~
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//
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// This file tests the bessel functions derivatives. There are two sets of tests, spot
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// tests which compare our results with selected values computed
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// using the online special function calculator at
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// functions.wolfram.com, while the bulk of the accuracy tests
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// use values generated with Boost.Multiprecision at 50 precision
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// and our generic versions of these functions.
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//
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// Note that when this file is first run on a new platform many of
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// these tests will fail: the default accuracy is 1 epsilon which
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// is too tight for most platforms. In this situation you will
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// need to cast a human eye over the error rates reported and make
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// a judgement as to whether they are acceptable. Either way please
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// report the results to the Boost mailing list. Acceptable rates of
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// error are marked up below as a series of regular expressions that
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// identify the compiler/stdlib/platform/data-type/test-data/test-function
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// along with the maximum expected peek and RMS mean errors for that
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// test.
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//
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void expected_results()
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{
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//
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// Define the max and mean errors expected for
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// various compilers and platforms.
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//
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const char* largest_type;
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
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{
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largest_type = "(long\\s+)?double|real_concept";
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}
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else
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{
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largest_type = "long double|real_concept";
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}
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#else
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largest_type = "(long\\s+)?double";
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#endif
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//
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// HP-UX specific rates:
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//
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// Error rate for double precision are limited by the accuracy of
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// the approximations use, which bracket rather than preserve the root.
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//
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"HP-UX", // platform
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largest_type, // test type(s)
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".*J0'.*Tricky.*", // test data group
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".*", 80000000000LL, 80000000000LL); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"HP-UX", // platform
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largest_type, // test type(s)
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".*J1'.*Tricky.*", // test data group
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".*", 3000000, 2000000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"HP-UX", // platform
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"double", // test type(s)
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".*Tricky.*", // test data group
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".*", 100000, 100000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"HP-UX", // platform
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largest_type, // test type(s)
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".*J'.*Tricky.*", // test data group
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".*", 3000, 500); // test function
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//
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// HP Tru64:
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//
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add_expected_result(
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".*Tru64.*", // compiler
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".*", // stdlib
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".*", // platform
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"double", // test type(s)
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".*Tricky.*", // test data group
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".*", 100000, 100000); // test function
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add_expected_result(
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".*Tru64.*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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".*Tricky large.*", // test data group
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".*", 3000, 1000); // test function
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//
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// Solaris specific rates:
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//
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// Error rate for double precision are limited by the accuracy of
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// the approximations use, which bracket rather than preserve the root.
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//
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Sun Solaris", // platform
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largest_type, // test type(s)
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"Bessel J': Random Data.*Tricky.*", // test data group
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".*", 3000, 500); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Sun Solaris", // platform
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"double", // test type(s)
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".*Tricky.*", // test data group
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".*", 200000, 100000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Sun Solaris", // platform
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largest_type, // test type(s)
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".*J'.*tricky.*", // test data group
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".*", 400000000, 200000000); // test function
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//
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// Mac OS X:
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//
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Mac OS", // platform
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largest_type, // test type(s)
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".*J0'.*Tricky.*", // test data group
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".*", 400000000, 400000000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Mac OS", // platform
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largest_type, // test type(s)
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".*J1'.*Tricky.*", // test data group
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".*", 3000000, 2000000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Mac OS", // platform
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largest_type, // test type(s)
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"Bessel JN'.*", // test data group
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".*", 60000, 20000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"Mac OS", // platform
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largest_type, // test type(s)
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"Bessel J':.*", // test data group
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".*", 60000, 20000); // test function
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//
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// Linux specific results:
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//
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// sin and cos appear to have only double precision for large
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// arguments on some linux distros:
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//
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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"linux", // platform
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largest_type, // test type(s)
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".*J':.*", // test data group
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".*", 60000, 30000); // test function
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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if((std::numeric_limits<double>::digits != std::numeric_limits<long double>::digits)
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&& (std::numeric_limits<long double>::digits < 90))
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{
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// some errors spill over into type double as well:
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"double", // test type(s)
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".*J0'.*Tricky.*", // test data group
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".*", 400000, 400000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"double", // test type(s)
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".*J1'.*Tricky.*", // test data group
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".*", 5000, 5000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"double", // test type(s)
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".*(JN'|j').*|.*Tricky.*", // test data group
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".*", 50, 50); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"double", // test type(s)
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".*", // test data group
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".*", 30, 30); // test function
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//
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// and we have a few cases with higher limits as well:
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//
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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".*J0'.*Tricky.*", // test data group
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".*", 400000000, 400000000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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".*J1'.*Tricky.*", // test data group
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".*", 5000000, 5000000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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".*(JN'|j').*|.*Tricky.*", // test data group
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".*", 60000, 40000); // test function
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}
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#endif
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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".*J0'.*Tricky.*", // test data group
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".*", 400000000, 400000000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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".*J1'.*Tricky.*", // test data group
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".*", 5000000, 5000000); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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"Bessel j':.*|Bessel JN': Mathworld.*|.*Tricky.*", // test data group
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".*", 1500, 700); // test function
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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largest_type, // test type(s)
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".*", // test data group
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".*", 40, 20); // test function
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//
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// One set of float tests has inexact input values, so there is a slight error:
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//
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add_expected_result(
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".*", // compiler
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".*", // stdlib
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".*", // platform
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"float", // test type(s)
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"Bessel J': Mathworld Data", // test data group
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".*", 30, 20); // test function
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//
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// Finish off by printing out the compiler/stdlib/platform names,
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// we do this to make it easier to mark up expected error rates.
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//
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std::cout << "Tests run with " << BOOST_COMPILER << ", "
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<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
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}
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BOOST_AUTO_TEST_CASE( test_main )
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{
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#ifdef TEST_GSL
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gsl_set_error_handler_off();
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#endif
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expected_results();
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BOOST_MATH_CONTROL_FP;
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test_bessel_prime(0.1F, "float");
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test_bessel_prime(0.1, "double");
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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test_bessel_prime(0.1L, "long double");
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#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
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test_bessel_prime(boost::math::concepts::real_concept(0.1), "real_concept");
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#endif
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#else
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std::cout << "<note>The long double tests have been disabled on this platform "
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"either because the long double overloads of the usual math functions are "
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"not available at all, or because they are too inaccurate for these tests "
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"to pass.</note>" << std::endl;
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#endif
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}
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