479 lines
17 KiB
C++
479 lines
17 KiB
C++
// Copyright John Maddock 2006.
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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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// Test real concept.
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// real_concept is an archetype for User defined Real types.
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// This file defines the features, constructors, operators, functions...
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// that are essential to use mathematical and statistical functions.
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// The template typename "RealType" is used where this type
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// (as well as the normal built-in types, float, double & long double)
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// can be used.
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// That this is the minimum set is confirmed by use as a type
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// in tests of all functions & distributions, for example:
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// test_spots(0.F); & test_spots(0.); for float and double, but also
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// test_spots(boost::math::concepts::real_concept(0.));
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// NTL quad_float type is an example of a type meeting the requirements,
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// but note minor additions are needed - see ntl.diff and documentation
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// "Using With NTL - a High-Precision Floating-Point Library".
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#ifndef BOOST_MATH_REAL_CONCEPT_HPP
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#define BOOST_MATH_REAL_CONCEPT_HPP
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#include <boost/config.hpp>
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#include <boost/limits.hpp>
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#include <boost/math/special_functions/round.hpp>
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#include <boost/math/special_functions/trunc.hpp>
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#include <boost/math/special_functions/modf.hpp>
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#include <boost/math/tools/big_constant.hpp>
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#include <boost/math/tools/precision.hpp>
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#include <boost/math/policies/policy.hpp>
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#if defined(__SGI_STL_PORT)
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# include <boost/math/tools/real_cast.hpp>
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#endif
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#include <ostream>
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#include <istream>
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#include <boost/config/no_tr1/cmath.hpp>
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#include <math.h> // fmodl
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#if defined(__SGI_STL_PORT) || defined(_RWSTD_VER) || defined(__LIBCOMO__)
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# include <cstdio>
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#endif
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namespace boost{ namespace math{
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namespace concepts
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{
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#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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typedef double real_concept_base_type;
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#else
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typedef long double real_concept_base_type;
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#endif
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class real_concept
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{
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public:
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// Constructors:
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real_concept() : m_value(0){}
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real_concept(char c) : m_value(c){}
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#ifndef BOOST_NO_INTRINSIC_WCHAR_T
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real_concept(wchar_t c) : m_value(c){}
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#endif
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real_concept(unsigned char c) : m_value(c){}
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real_concept(signed char c) : m_value(c){}
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real_concept(unsigned short c) : m_value(c){}
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real_concept(short c) : m_value(c){}
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real_concept(unsigned int c) : m_value(c){}
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real_concept(int c) : m_value(c){}
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real_concept(unsigned long c) : m_value(c){}
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real_concept(long c) : m_value(c){}
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#if defined(__DECCXX) || defined(__SUNPRO_CC)
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real_concept(unsigned long long c) : m_value(static_cast<real_concept_base_type>(c)){}
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real_concept(long long c) : m_value(static_cast<real_concept_base_type>(c)){}
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#elif defined(BOOST_HAS_LONG_LONG)
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real_concept(boost::ulong_long_type c) : m_value(static_cast<real_concept_base_type>(c)){}
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real_concept(boost::long_long_type c) : m_value(static_cast<real_concept_base_type>(c)){}
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#elif defined(BOOST_HAS_MS_INT64)
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real_concept(unsigned __int64 c) : m_value(static_cast<real_concept_base_type>(c)){}
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real_concept(__int64 c) : m_value(static_cast<real_concept_base_type>(c)){}
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#endif
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real_concept(float c) : m_value(c){}
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real_concept(double c) : m_value(c){}
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real_concept(long double c) : m_value(c){}
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#ifdef BOOST_MATH_USE_FLOAT128
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real_concept(BOOST_MATH_FLOAT128_TYPE c) : m_value(c){}
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#endif
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// Assignment:
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real_concept& operator=(char c) { m_value = c; return *this; }
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real_concept& operator=(unsigned char c) { m_value = c; return *this; }
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real_concept& operator=(signed char c) { m_value = c; return *this; }
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#ifndef BOOST_NO_INTRINSIC_WCHAR_T
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real_concept& operator=(wchar_t c) { m_value = c; return *this; }
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#endif
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real_concept& operator=(short c) { m_value = c; return *this; }
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real_concept& operator=(unsigned short c) { m_value = c; return *this; }
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real_concept& operator=(int c) { m_value = c; return *this; }
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real_concept& operator=(unsigned int c) { m_value = c; return *this; }
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real_concept& operator=(long c) { m_value = c; return *this; }
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real_concept& operator=(unsigned long c) { m_value = c; return *this; }
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#ifdef BOOST_HAS_LONG_LONG
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real_concept& operator=(boost::long_long_type c) { m_value = static_cast<real_concept_base_type>(c); return *this; }
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real_concept& operator=(boost::ulong_long_type c) { m_value = static_cast<real_concept_base_type>(c); return *this; }
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#endif
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real_concept& operator=(float c) { m_value = c; return *this; }
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real_concept& operator=(double c) { m_value = c; return *this; }
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real_concept& operator=(long double c) { m_value = c; return *this; }
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// Access:
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real_concept_base_type value()const{ return m_value; }
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// Member arithmetic:
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real_concept& operator+=(const real_concept& other)
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{ m_value += other.value(); return *this; }
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real_concept& operator-=(const real_concept& other)
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{ m_value -= other.value(); return *this; }
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real_concept& operator*=(const real_concept& other)
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{ m_value *= other.value(); return *this; }
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real_concept& operator/=(const real_concept& other)
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{ m_value /= other.value(); return *this; }
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real_concept operator-()const
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{ return -m_value; }
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real_concept const& operator+()const
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{ return *this; }
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real_concept& operator++()
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{ ++m_value; return *this; }
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real_concept& operator--()
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{ --m_value; return *this; }
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private:
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real_concept_base_type m_value;
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};
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// Non-member arithmetic:
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inline real_concept operator+(const real_concept& a, const real_concept& b)
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{
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real_concept result(a);
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result += b;
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return result;
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}
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inline real_concept operator-(const real_concept& a, const real_concept& b)
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{
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real_concept result(a);
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result -= b;
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return result;
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}
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inline real_concept operator*(const real_concept& a, const real_concept& b)
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{
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real_concept result(a);
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result *= b;
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return result;
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}
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inline real_concept operator/(const real_concept& a, const real_concept& b)
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{
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real_concept result(a);
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result /= b;
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return result;
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}
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// Comparison:
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inline bool operator == (const real_concept& a, const real_concept& b)
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{ return a.value() == b.value(); }
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inline bool operator != (const real_concept& a, const real_concept& b)
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{ return a.value() != b.value();}
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inline bool operator < (const real_concept& a, const real_concept& b)
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{ return a.value() < b.value(); }
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inline bool operator <= (const real_concept& a, const real_concept& b)
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{ return a.value() <= b.value(); }
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inline bool operator > (const real_concept& a, const real_concept& b)
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{ return a.value() > b.value(); }
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inline bool operator >= (const real_concept& a, const real_concept& b)
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{ return a.value() >= b.value(); }
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// Non-member functions:
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inline real_concept acos(real_concept a)
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{ return std::acos(a.value()); }
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inline real_concept cos(real_concept a)
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{ return std::cos(a.value()); }
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inline real_concept asin(real_concept a)
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{ return std::asin(a.value()); }
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inline real_concept atan(real_concept a)
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{ return std::atan(a.value()); }
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inline real_concept atan2(real_concept a, real_concept b)
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{ return std::atan2(a.value(), b.value()); }
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inline real_concept ceil(real_concept a)
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{ return std::ceil(a.value()); }
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#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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// I've seen std::fmod(long double) crash on some platforms
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// so use fmodl instead:
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#ifdef _WIN32_WCE
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//
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// Ugly workaround for macro fmodl:
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//
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inline long double call_fmodl(long double a, long double b)
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{ return fmodl(a, b); }
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inline real_concept fmod(real_concept a, real_concept b)
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{ return call_fmodl(a.value(), b.value()); }
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#else
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inline real_concept fmod(real_concept a, real_concept b)
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{ return fmodl(a.value(), b.value()); }
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#endif
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#endif
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inline real_concept cosh(real_concept a)
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{ return std::cosh(a.value()); }
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inline real_concept exp(real_concept a)
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{ return std::exp(a.value()); }
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inline real_concept fabs(real_concept a)
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{ return std::fabs(a.value()); }
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inline real_concept abs(real_concept a)
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{ return std::abs(a.value()); }
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inline real_concept floor(real_concept a)
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{ return std::floor(a.value()); }
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inline real_concept modf(real_concept a, real_concept* ipart)
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{
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#ifdef __MINGW32__
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real_concept_base_type ip;
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real_concept_base_type result = boost::math::modf(a.value(), &ip);
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*ipart = ip;
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return result;
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#else
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real_concept_base_type ip;
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real_concept_base_type result = std::modf(a.value(), &ip);
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*ipart = ip;
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return result;
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#endif
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}
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inline real_concept frexp(real_concept a, int* expon)
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{ return std::frexp(a.value(), expon); }
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inline real_concept ldexp(real_concept a, int expon)
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{ return std::ldexp(a.value(), expon); }
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inline real_concept log(real_concept a)
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{ return std::log(a.value()); }
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inline real_concept log10(real_concept a)
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{ return std::log10(a.value()); }
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inline real_concept tan(real_concept a)
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{ return std::tan(a.value()); }
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inline real_concept pow(real_concept a, real_concept b)
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{ return std::pow(a.value(), b.value()); }
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#if !defined(__SUNPRO_CC)
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inline real_concept pow(real_concept a, int b)
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{ return std::pow(a.value(), b); }
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#else
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inline real_concept pow(real_concept a, int b)
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{ return std::pow(a.value(), static_cast<real_concept_base_type>(b)); }
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#endif
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inline real_concept sin(real_concept a)
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{ return std::sin(a.value()); }
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inline real_concept sinh(real_concept a)
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{ return std::sinh(a.value()); }
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inline real_concept sqrt(real_concept a)
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{ return std::sqrt(a.value()); }
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inline real_concept tanh(real_concept a)
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{ return std::tanh(a.value()); }
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//
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// Conversion and truncation routines:
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//
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template <class Policy>
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inline int iround(const concepts::real_concept& v, const Policy& pol)
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{ return boost::math::iround(v.value(), pol); }
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inline int iround(const concepts::real_concept& v)
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{ return boost::math::iround(v.value(), policies::policy<>()); }
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template <class Policy>
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inline long lround(const concepts::real_concept& v, const Policy& pol)
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{ return boost::math::lround(v.value(), pol); }
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inline long lround(const concepts::real_concept& v)
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{ return boost::math::lround(v.value(), policies::policy<>()); }
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#ifdef BOOST_HAS_LONG_LONG
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template <class Policy>
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inline boost::long_long_type llround(const concepts::real_concept& v, const Policy& pol)
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{ return boost::math::llround(v.value(), pol); }
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inline boost::long_long_type llround(const concepts::real_concept& v)
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{ return boost::math::llround(v.value(), policies::policy<>()); }
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#endif
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template <class Policy>
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inline int itrunc(const concepts::real_concept& v, const Policy& pol)
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{ return boost::math::itrunc(v.value(), pol); }
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inline int itrunc(const concepts::real_concept& v)
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{ return boost::math::itrunc(v.value(), policies::policy<>()); }
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template <class Policy>
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inline long ltrunc(const concepts::real_concept& v, const Policy& pol)
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{ return boost::math::ltrunc(v.value(), pol); }
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inline long ltrunc(const concepts::real_concept& v)
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{ return boost::math::ltrunc(v.value(), policies::policy<>()); }
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#ifdef BOOST_HAS_LONG_LONG
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template <class Policy>
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inline boost::long_long_type lltrunc(const concepts::real_concept& v, const Policy& pol)
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{ return boost::math::lltrunc(v.value(), pol); }
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inline boost::long_long_type lltrunc(const concepts::real_concept& v)
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{ return boost::math::lltrunc(v.value(), policies::policy<>()); }
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#endif
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// Streaming:
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template <class charT, class traits>
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inline std::basic_ostream<charT, traits>& operator<<(std::basic_ostream<charT, traits>& os, const real_concept& a)
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{
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return os << a.value();
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}
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template <class charT, class traits>
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inline std::basic_istream<charT, traits>& operator>>(std::basic_istream<charT, traits>& is, real_concept& a)
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{
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#if defined(BOOST_MSVC) && defined(__SGI_STL_PORT)
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//
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// STLPort 5.1.4 has a problem reading long doubles from strings,
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// see http://sourceforge.net/tracker/index.php?func=detail&aid=1811043&group_id=146814&atid=766244
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//
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double v;
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is >> v;
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a = v;
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return is;
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#elif defined(__SGI_STL_PORT) || defined(_RWSTD_VER) || defined(__LIBCOMO__) || defined(_LIBCPP_VERSION)
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std::string s;
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real_concept_base_type d;
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is >> s;
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std::sscanf(s.c_str(), "%Lf", &d);
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a = d;
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return is;
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#else
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real_concept_base_type v;
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is >> v;
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a = v;
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return is;
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#endif
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}
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} // namespace concepts
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namespace tools
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{
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template <>
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inline concepts::real_concept make_big_value<concepts::real_concept>(boost::math::tools::largest_float val, const char* , mpl::false_ const&, mpl::false_ const&)
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{
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return val; // Can't use lexical_cast here, sometimes it fails....
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}
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template <>
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inline concepts::real_concept max_value<concepts::real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
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{
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return max_value<concepts::real_concept_base_type>();
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}
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template <>
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inline concepts::real_concept min_value<concepts::real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
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{
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return min_value<concepts::real_concept_base_type>();
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}
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template <>
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inline concepts::real_concept log_max_value<concepts::real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
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{
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return log_max_value<concepts::real_concept_base_type>();
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}
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template <>
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inline concepts::real_concept log_min_value<concepts::real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
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{
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return log_min_value<concepts::real_concept_base_type>();
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}
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template <>
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inline concepts::real_concept epsilon<concepts::real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept))
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{
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#ifdef __SUNPRO_CC
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return std::numeric_limits<concepts::real_concept_base_type>::epsilon();
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#else
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return tools::epsilon<concepts::real_concept_base_type>();
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#endif
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}
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template <>
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inline BOOST_MATH_CONSTEXPR int digits<concepts::real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::real_concept)) BOOST_NOEXCEPT
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{
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// Assume number of significand bits is same as real_concept_base_type,
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// unless std::numeric_limits<T>::is_specialized to provide digits.
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return tools::digits<concepts::real_concept_base_type>();
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// Note that if numeric_limits real concept is NOT specialized to provide digits10
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// (or max_digits10) then the default precision of 6 decimal digits will be used
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// by Boost test (giving misleading error messages like
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// "difference between {9.79796} and {9.79796} exceeds 5.42101e-19%"
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// and by Boost lexical cast and serialization causing loss of accuracy.
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}
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} // namespace tools
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/*
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namespace policies {
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namespace detail {
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template <class T>
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inline concepts::real_concept raise_rounding_error(
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const char*,
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const char*,
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const T& val,
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const concepts::real_concept&,
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const ::boost::math::policies::rounding_error< ::boost::math::policies::errno_on_error>&) BOOST_MATH_NOEXCEPT(T)
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{
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errno = ERANGE;
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// This may or may not do the right thing, but the user asked for the error
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// to be silent so here we go anyway:
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return val > 0 ? boost::math::tools::max_value<concepts::real_concept>() : -boost::math::tools::max_value<concepts::real_concept>();
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}
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}
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}*/
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#if defined(__SGI_STL_PORT) || defined(BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS)
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//
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// We shouldn't really need these type casts any more, but there are some
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// STLport iostream bugs we work around by using them....
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//
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namespace tools
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{
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// real_cast converts from T to integer and narrower floating-point types.
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// Convert from T to integer types.
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template <>
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inline unsigned int real_cast<unsigned int, concepts::real_concept>(concepts::real_concept r)
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{
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return static_cast<unsigned int>(r.value());
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}
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template <>
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inline int real_cast<int, concepts::real_concept>(concepts::real_concept r)
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{
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return static_cast<int>(r.value());
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}
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template <>
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inline long real_cast<long, concepts::real_concept>(concepts::real_concept r)
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{
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return static_cast<long>(r.value());
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}
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// Converts from T to narrower floating-point types, float, double & long double.
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template <>
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inline float real_cast<float, concepts::real_concept>(concepts::real_concept r)
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{
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return static_cast<float>(r.value());
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}
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|
template <>
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|
inline double real_cast<double, concepts::real_concept>(concepts::real_concept r)
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|
{
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|
return static_cast<double>(r.value());
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|
}
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|
template <>
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|
inline long double real_cast<long double, concepts::real_concept>(concepts::real_concept r)
|
|
{
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|
return r.value();
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|
}
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|
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} // STLPort
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|
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|
#endif
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|
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|
#if BOOST_WORKAROUND(BOOST_MSVC, <= 1310)
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|
//
|
|
// For some strange reason ADL sometimes fails to find the
|
|
// correct overloads, unless we bring these declarations into scope:
|
|
//
|
|
using concepts::itrunc;
|
|
using concepts::iround;
|
|
|
|
#endif
|
|
|
|
} // namespace math
|
|
} // namespace boost
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|
|
|
#endif // BOOST_MATH_REAL_CONCEPT_HPP
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|
|
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|