459 lines
14 KiB
Plaintext
459 lines
14 KiB
Plaintext
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// Copyright (c) 2006-7 John Maddock
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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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#ifndef BOOST_MATH_TOOLS_CONFIG_HPP
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#define BOOST_MATH_TOOLS_CONFIG_HPP
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#ifdef _MSC_VER
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#pragma once
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#endif
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#include <boost/config.hpp>
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#include <boost/predef.h>
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#include <boost/cstdint.hpp> // for boost::uintmax_t
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#include <boost/detail/workaround.hpp>
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#include <boost/type_traits/is_integral.hpp>
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#include <algorithm> // for min and max
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#include <boost/config/no_tr1/cmath.hpp>
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#include <climits>
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#include <cfloat>
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#if (defined(macintosh) || defined(__APPLE__) || defined(__APPLE_CC__))
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# include <math.h>
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#endif
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#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
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# include <limits>
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#endif
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#include <boost/math/tools/user.hpp>
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#if (defined(__CYGWIN__) || defined(__FreeBSD__) || defined(__NetBSD__) \
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|| (defined(__hppa) && !defined(__OpenBSD__)) || (defined(__NO_LONG_DOUBLE_MATH) && (DBL_MANT_DIG != LDBL_MANT_DIG))) \
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&& !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
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# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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#endif
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#if BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
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//
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// Borland post 5.8.2 uses Dinkumware's std C lib which
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// doesn't have true long double precision. Earlier
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// versions are problematic too:
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//
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# define BOOST_MATH_NO_REAL_CONCEPT_TESTS
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# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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# define BOOST_MATH_CONTROL_FP _control87(MCW_EM,MCW_EM)
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# include <float.h>
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#endif
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#ifdef __IBMCPP__
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//
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// For reasons I don't unserstand, the tests with IMB's compiler all
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// pass at long double precision, but fail with real_concept, those tests
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// are disabled for now. (JM 2012).
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# define BOOST_MATH_NO_REAL_CONCEPT_TESTS
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#endif
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#ifdef sun
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// Any use of __float128 in program startup code causes a segfault (tested JM 2015, Solaris 11).
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# define BOOST_MATH_DISABLE_FLOAT128
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#endif
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#ifdef __HAIKU__
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//
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// Not sure what's up with the math detection on Haiku, but linking fails with
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// float128 code enabled, and we don't have an implementation of __expl, so
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// disabling long double functions for now as well.
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# define BOOST_MATH_DISABLE_FLOAT128
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# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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#endif
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#if (defined(macintosh) || defined(__APPLE__) || defined(__APPLE_CC__)) && ((LDBL_MANT_DIG == 106) || (__LDBL_MANT_DIG__ == 106)) && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
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//
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// Darwin's rather strange "double double" is rather hard to
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// support, it should be possible given enough effort though...
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//
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# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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#endif
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#if defined(unix) && defined(__INTEL_COMPILER) && (__INTEL_COMPILER <= 1000) && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
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//
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// Intel compiler prior to version 10 has sporadic problems
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// calling the long double overloads of the std lib math functions:
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// calling ::powl is OK, but std::pow(long double, long double)
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// may segfault depending upon the value of the arguments passed
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// and the specific Linux distribution.
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//
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// We'll be conservative and disable long double support for this compiler.
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//
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// Comment out this #define and try building the tests to determine whether
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// your Intel compiler version has this issue or not.
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//
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# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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#endif
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#if defined(unix) && defined(__INTEL_COMPILER)
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//
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// Intel compiler has sporadic issues compiling std::fpclassify depending on
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// the exact OS version used. Use our own code for this as we know it works
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// well on Intel processors:
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//
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#define BOOST_MATH_DISABLE_STD_FPCLASSIFY
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#endif
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#if defined(BOOST_MSVC) && !defined(_WIN32_WCE)
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// Better safe than sorry, our tests don't support hardware exceptions:
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# define BOOST_MATH_CONTROL_FP _control87(MCW_EM,MCW_EM)
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#endif
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#ifdef __IBMCPP__
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# define BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS
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#endif
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#if (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901))
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# define BOOST_MATH_USE_C99
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#endif
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#if (defined(__hpux) && !defined(__hppa))
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# define BOOST_MATH_USE_C99
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#endif
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#if defined(__GNUC__) && defined(_GLIBCXX_USE_C99)
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# define BOOST_MATH_USE_C99
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#endif
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#if defined(_LIBCPP_VERSION) && !defined(_MSC_VER)
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# define BOOST_MATH_USE_C99
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#endif
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#if defined(__CYGWIN__) || defined(__HP_aCC) || defined(BOOST_INTEL) \
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|| defined(BOOST_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY) \
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|| (defined(__GNUC__) && !defined(BOOST_MATH_USE_C99))\
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|| defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
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# define BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY
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#endif
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#if BOOST_WORKAROUND(__SUNPRO_CC, <= 0x590)
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# include "boost/type.hpp"
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# include "boost/non_type.hpp"
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# define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(t) boost::type<t>* = 0
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# define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(t) boost::type<t>*
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# define BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE(t, v) boost::non_type<t, v>* = 0
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# define BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v) boost::non_type<t, v>*
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# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(t) \
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, BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(t)
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# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(t) \
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, BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(t)
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# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE(t, v) \
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, BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE(t, v)
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# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v) \
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, BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v)
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#else
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// no workaround needed: expand to nothing
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# define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(t)
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# define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(t)
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# define BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE(t, v)
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# define BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v)
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# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(t)
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# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(t)
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# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE(t, v)
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# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v)
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#endif // __SUNPRO_CC
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#if (defined(__SUNPRO_CC) || defined(__hppa) || defined(__GNUC__)) && !defined(BOOST_MATH_SMALL_CONSTANT)
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// Sun's compiler emits a hard error if a constant underflows,
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// as does aCC on PA-RISC, while gcc issues a large number of warnings:
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# define BOOST_MATH_SMALL_CONSTANT(x) 0.0
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#else
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# define BOOST_MATH_SMALL_CONSTANT(x) x
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#endif
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#if BOOST_WORKAROUND(BOOST_MSVC, < 1400)
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//
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// Define if constants too large for a float cause "bad"
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// values to be stored in the data, rather than infinity
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// or a suitably large value.
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//
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# define BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
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#endif
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//
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// Tune performance options for specific compilers:
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//
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#ifdef BOOST_MSVC
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# define BOOST_MATH_POLY_METHOD 2
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# define BOOST_MATH_RATIONAL_METHOD 1
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#elif defined(BOOST_INTEL)
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# define BOOST_MATH_POLY_METHOD 2
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# define BOOST_MATH_RATIONAL_METHOD 1
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#elif defined(__GNUC__)
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#if __GNUC__ < 4
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# define BOOST_MATH_POLY_METHOD 3
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# define BOOST_MATH_RATIONAL_METHOD 3
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# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT
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# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L
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#else
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# define BOOST_MATH_POLY_METHOD 3
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# define BOOST_MATH_RATIONAL_METHOD 1
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#endif
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#endif
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#if defined(BOOST_NO_LONG_LONG) && !defined(BOOST_MATH_INT_TABLE_TYPE)
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# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT
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# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L
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#endif
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//
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// constexpr support, early GCC implementations can't cope so disable
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// constexpr for them:
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//
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#if !defined(__clang) && defined(__GNUC__)
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#if (__GNUC__ * 100 + __GNUC_MINOR__) < 490
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# define BOOST_MATH_DISABLE_CONSTEXPR
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#endif
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#endif
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#ifdef BOOST_MATH_DISABLE_CONSTEXPR
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# define BOOST_MATH_CONSTEXPR
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#else
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# define BOOST_MATH_CONSTEXPR BOOST_CONSTEXPR
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#endif
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//
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// noexcept support:
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//
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#ifndef BOOST_NO_CXX11_NOEXCEPT
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#ifndef BOOST_NO_CXX11_HDR_TYPE_TRAITS
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#include <type_traits>
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# define BOOST_MATH_NOEXCEPT(T) noexcept(std::is_floating_point<T>::value)
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# define BOOST_MATH_IS_FLOAT(T) (std::is_floating_point<T>::value)
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#else
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#include <boost/type_traits/is_floating_point.hpp>
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# define BOOST_MATH_NOEXCEPT(T) noexcept(boost::is_floating_point<T>::value)
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# define BOOST_MATH_IS_FLOAT(T) (boost::is_floating_point<T>::value)
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#endif
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#else
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# define BOOST_MATH_NOEXCEPT(T)
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# define BOOST_MATH_IS_FLOAT(T) false
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#endif
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//
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// The maximum order of polynomial that will be evaluated
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// via an unrolled specialisation:
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//
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#ifndef BOOST_MATH_MAX_POLY_ORDER
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# define BOOST_MATH_MAX_POLY_ORDER 20
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#endif
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//
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// Set the method used to evaluate polynomials and rationals:
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//
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#ifndef BOOST_MATH_POLY_METHOD
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# define BOOST_MATH_POLY_METHOD 2
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#endif
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#ifndef BOOST_MATH_RATIONAL_METHOD
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# define BOOST_MATH_RATIONAL_METHOD 1
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#endif
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//
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// decide whether to store constants as integers or reals:
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//
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#ifndef BOOST_MATH_INT_TABLE_TYPE
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# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) IT
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#endif
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#ifndef BOOST_MATH_INT_VALUE_SUFFIX
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# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##SUF
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#endif
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//
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// And then the actual configuration:
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//
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#if defined(_GLIBCXX_USE_FLOAT128) && defined(BOOST_GCC) && !defined(__STRICT_ANSI__) \
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&& !defined(BOOST_MATH_DISABLE_FLOAT128) || defined(BOOST_MATH_USE_FLOAT128)
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//
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// Only enable this when the compiler really is GCC as clang and probably
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// intel too don't support __float128 yet :-(
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//
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#ifndef BOOST_MATH_USE_FLOAT128
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# define BOOST_MATH_USE_FLOAT128
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#endif
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# if defined(BOOST_INTEL) && defined(BOOST_INTEL_CXX_VERSION) && (BOOST_INTEL_CXX_VERSION >= 1310) && defined(__GNUC__)
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# if (__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 6))
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# define BOOST_MATH_FLOAT128_TYPE __float128
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# endif
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# elif defined(__GNUC__)
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# define BOOST_MATH_FLOAT128_TYPE __float128
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# endif
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# ifndef BOOST_MATH_FLOAT128_TYPE
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# define BOOST_MATH_FLOAT128_TYPE _Quad
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# endif
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#endif
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//
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// Check for WinCE with no iostream support:
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//
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#if defined(_WIN32_WCE) && !defined(__SGI_STL_PORT)
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# define BOOST_MATH_NO_LEXICAL_CAST
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#endif
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//
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// Helper macro for controlling the FP behaviour:
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//
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#ifndef BOOST_MATH_CONTROL_FP
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# define BOOST_MATH_CONTROL_FP
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#endif
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//
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// Helper macro for using statements:
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//
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#define BOOST_MATH_STD_USING_CORE \
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using std::abs;\
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using std::acos;\
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using std::cos;\
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using std::fmod;\
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using std::modf;\
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using std::tan;\
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using std::asin;\
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using std::cosh;\
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using std::frexp;\
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using std::pow;\
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using std::tanh;\
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using std::atan;\
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using std::exp;\
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using std::ldexp;\
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using std::sin;\
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using std::atan2;\
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using std::fabs;\
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using std::log;\
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using std::sinh;\
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using std::ceil;\
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using std::floor;\
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using std::log10;\
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using std::sqrt;
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#define BOOST_MATH_STD_USING BOOST_MATH_STD_USING_CORE
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namespace boost{ namespace math{
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namespace tools
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{
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template <class T>
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inline T max BOOST_PREVENT_MACRO_SUBSTITUTION(T a, T b, T c) BOOST_MATH_NOEXCEPT(T)
|
||
|
|
{
|
||
|
|
return (std::max)((std::max)(a, b), c);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <class T>
|
||
|
|
inline T max BOOST_PREVENT_MACRO_SUBSTITUTION(T a, T b, T c, T d) BOOST_MATH_NOEXCEPT(T)
|
||
|
|
{
|
||
|
|
return (std::max)((std::max)(a, b), (std::max)(c, d));
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace tools
|
||
|
|
|
||
|
|
template <class T>
|
||
|
|
void suppress_unused_variable_warning(const T&) BOOST_MATH_NOEXCEPT(T)
|
||
|
|
{
|
||
|
|
}
|
||
|
|
|
||
|
|
namespace detail{
|
||
|
|
|
||
|
|
template <class T>
|
||
|
|
struct is_integer_for_rounding
|
||
|
|
{
|
||
|
|
static const bool value = boost::is_integral<T>::value
|
||
|
|
#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
|
||
|
|
|| (std::numeric_limits<T>::is_specialized && std::numeric_limits<T>::is_integer)
|
||
|
|
#endif
|
||
|
|
;
|
||
|
|
};
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
}} // namespace boost namespace math
|
||
|
|
|
||
|
|
#ifdef __GLIBC_PREREQ
|
||
|
|
# if __GLIBC_PREREQ(2,14)
|
||
|
|
# define BOOST_MATH_HAVE_FIXED_GLIBC
|
||
|
|
# endif
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#if ((defined(__linux__) && !defined(__UCLIBC__) && !defined(BOOST_MATH_HAVE_FIXED_GLIBC)) || defined(__QNX__) || defined(__IBMCPP__)) && !defined(BOOST_NO_FENV_H)
|
||
|
|
//
|
||
|
|
// This code was introduced in response to this glibc bug: http://sourceware.org/bugzilla/show_bug.cgi?id=2445
|
||
|
|
// Basically powl and expl can return garbage when the result is small and certain exception flags are set
|
||
|
|
// on entrance to these functions. This appears to have been fixed in Glibc 2.14 (May 2011).
|
||
|
|
// Much more information in this message thread: https://groups.google.com/forum/#!topic/boost-list/ZT99wtIFlb4
|
||
|
|
//
|
||
|
|
|
||
|
|
#include <boost/detail/fenv.hpp>
|
||
|
|
|
||
|
|
# ifdef FE_ALL_EXCEPT
|
||
|
|
|
||
|
|
namespace boost{ namespace math{
|
||
|
|
namespace detail
|
||
|
|
{
|
||
|
|
struct fpu_guard
|
||
|
|
{
|
||
|
|
fpu_guard()
|
||
|
|
{
|
||
|
|
fegetexceptflag(&m_flags, FE_ALL_EXCEPT);
|
||
|
|
feclearexcept(FE_ALL_EXCEPT);
|
||
|
|
}
|
||
|
|
~fpu_guard()
|
||
|
|
{
|
||
|
|
fesetexceptflag(&m_flags, FE_ALL_EXCEPT);
|
||
|
|
}
|
||
|
|
private:
|
||
|
|
fexcept_t m_flags;
|
||
|
|
};
|
||
|
|
|
||
|
|
} // namespace detail
|
||
|
|
}} // namespaces
|
||
|
|
|
||
|
|
# define BOOST_FPU_EXCEPTION_GUARD boost::math::detail::fpu_guard local_guard_object;
|
||
|
|
# define BOOST_MATH_INSTRUMENT_FPU do{ fexcept_t cpu_flags; fegetexceptflag(&cpu_flags, FE_ALL_EXCEPT); BOOST_MATH_INSTRUMENT_VARIABLE(cpu_flags); } while(0);
|
||
|
|
|
||
|
|
# else
|
||
|
|
|
||
|
|
# define BOOST_FPU_EXCEPTION_GUARD
|
||
|
|
# define BOOST_MATH_INSTRUMENT_FPU
|
||
|
|
|
||
|
|
# endif
|
||
|
|
|
||
|
|
#else // All other platforms.
|
||
|
|
# define BOOST_FPU_EXCEPTION_GUARD
|
||
|
|
# define BOOST_MATH_INSTRUMENT_FPU
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#ifdef BOOST_MATH_INSTRUMENT
|
||
|
|
|
||
|
|
# include <iostream>
|
||
|
|
# include <iomanip>
|
||
|
|
# include <typeinfo>
|
||
|
|
|
||
|
|
# define BOOST_MATH_INSTRUMENT_CODE(x) \
|
||
|
|
std::cout << std::setprecision(35) << __FILE__ << ":" << __LINE__ << " " << x << std::endl;
|
||
|
|
# define BOOST_MATH_INSTRUMENT_VARIABLE(name) BOOST_MATH_INSTRUMENT_CODE(BOOST_STRINGIZE(name) << " = " << name)
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
# define BOOST_MATH_INSTRUMENT_CODE(x)
|
||
|
|
# define BOOST_MATH_INSTRUMENT_VARIABLE(name)
|
||
|
|
|
||
|
|
#endif
|
||
|
|
|
||
|
|
//
|
||
|
|
// Thread local storage:
|
||
|
|
//
|
||
|
|
#if !defined(BOOST_NO_CXX11_THREAD_LOCAL) && !defined(BOOST_INTEL)
|
||
|
|
# define BOOST_MATH_THREAD_LOCAL thread_local
|
||
|
|
#else
|
||
|
|
# define BOOST_MATH_THREAD_LOCAL
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#endif // BOOST_MATH_TOOLS_CONFIG_HPP
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|