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386 lines
14 KiB
386 lines
14 KiB
// 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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// std_real_concept is an archetype for built-in Real types. |
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// The main purpose in providing this type is to verify |
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// that std lib functions are found via a using declaration |
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// bringing those functions into the current scope, and not |
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// just because they happen to be in global scope. |
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// |
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// If ::pow is found rather than std::pow say, then the code |
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// will silently compile, but truncation of long doubles to |
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// double will cause a significant loss of precision. |
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// A template instantiated with std_real_concept will *only* |
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// compile if it std::whatever is in scope. |
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#include <boost/config.hpp> |
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#include <boost/limits.hpp> |
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#include <boost/math/policies/policy.hpp> |
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#include <boost/math/special_functions/math_fwd.hpp> |
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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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#ifndef BOOST_MATH_STD_REAL_CONCEPT_HPP |
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#define BOOST_MATH_STD_REAL_CONCEPT_HPP |
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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 std_real_concept_base_type; |
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#else |
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typedef long double std_real_concept_base_type; |
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#endif |
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class std_real_concept |
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{ |
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public: |
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// Constructors: |
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std_real_concept() : m_value(0){} |
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std_real_concept(char c) : m_value(c){} |
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#ifndef BOOST_NO_INTRINSIC_WCHAR_T |
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std_real_concept(wchar_t c) : m_value(c){} |
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#endif |
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std_real_concept(unsigned char c) : m_value(c){} |
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std_real_concept(signed char c) : m_value(c){} |
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std_real_concept(unsigned short c) : m_value(c){} |
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std_real_concept(short c) : m_value(c){} |
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std_real_concept(unsigned int c) : m_value(c){} |
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std_real_concept(int c) : m_value(c){} |
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std_real_concept(unsigned long c) : m_value(c){} |
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std_real_concept(long c) : m_value(c){} |
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#if defined(__DECCXX) || defined(__SUNPRO_CC) |
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std_real_concept(unsigned long long c) : m_value(static_cast<std_real_concept_base_type>(c)){} |
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std_real_concept(long long c) : m_value(static_cast<std_real_concept_base_type>(c)){} |
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#elif defined(BOOST_HAS_LONG_LONG) |
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std_real_concept(boost::ulong_long_type c) : m_value(static_cast<std_real_concept_base_type>(c)){} |
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std_real_concept(boost::long_long_type c) : m_value(static_cast<std_real_concept_base_type>(c)){} |
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#endif |
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std_real_concept(float c) : m_value(c){} |
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std_real_concept(double c) : m_value(c){} |
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std_real_concept(long double c) : m_value(c){} |
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// Assignment: |
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std_real_concept& operator=(char c) { m_value = c; return *this; } |
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std_real_concept& operator=(unsigned char c) { m_value = c; return *this; } |
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std_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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std_real_concept& operator=(wchar_t c) { m_value = c; return *this; } |
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#endif |
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std_real_concept& operator=(short c) { m_value = c; return *this; } |
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std_real_concept& operator=(unsigned short c) { m_value = c; return *this; } |
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std_real_concept& operator=(int c) { m_value = c; return *this; } |
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std_real_concept& operator=(unsigned int c) { m_value = c; return *this; } |
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std_real_concept& operator=(long c) { m_value = c; return *this; } |
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std_real_concept& operator=(unsigned long c) { m_value = c; return *this; } |
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#if defined(__DECCXX) || defined(__SUNPRO_CC) |
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std_real_concept& operator=(unsigned long long c) { m_value = static_cast<std_real_concept_base_type>(c); return *this; } |
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std_real_concept& operator=(long long c) { m_value = static_cast<std_real_concept_base_type>(c); return *this; } |
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#elif defined(BOOST_HAS_LONG_LONG) |
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std_real_concept& operator=(boost::long_long_type c) { m_value = static_cast<std_real_concept_base_type>(c); return *this; } |
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std_real_concept& operator=(boost::ulong_long_type c) { m_value = static_cast<std_real_concept_base_type>(c); return *this; } |
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#endif |
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std_real_concept& operator=(float c) { m_value = c; return *this; } |
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std_real_concept& operator=(double c) { m_value = c; return *this; } |
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std_real_concept& operator=(long double c) { m_value = c; return *this; } |
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// Access: |
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std_real_concept_base_type value()const{ return m_value; } |
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// Member arithmetic: |
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std_real_concept& operator+=(const std_real_concept& other) |
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{ m_value += other.value(); return *this; } |
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std_real_concept& operator-=(const std_real_concept& other) |
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{ m_value -= other.value(); return *this; } |
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std_real_concept& operator*=(const std_real_concept& other) |
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{ m_value *= other.value(); return *this; } |
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std_real_concept& operator/=(const std_real_concept& other) |
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{ m_value /= other.value(); return *this; } |
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std_real_concept operator-()const |
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{ return -m_value; } |
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std_real_concept const& operator+()const |
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{ return *this; } |
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private: |
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std_real_concept_base_type m_value; |
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}; |
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// Non-member arithmetic: |
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inline std_real_concept operator+(const std_real_concept& a, const std_real_concept& b) |
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{ |
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std_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 std_real_concept operator-(const std_real_concept& a, const std_real_concept& b) |
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{ |
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std_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 std_real_concept operator*(const std_real_concept& a, const std_real_concept& b) |
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{ |
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std_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 std_real_concept operator/(const std_real_concept& a, const std_real_concept& b) |
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{ |
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std_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 std_real_concept& a, const std_real_concept& b) |
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{ return a.value() == b.value(); } |
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inline bool operator != (const std_real_concept& a, const std_real_concept& b) |
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{ return a.value() != b.value();} |
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inline bool operator < (const std_real_concept& a, const std_real_concept& b) |
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{ return a.value() < b.value(); } |
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inline bool operator <= (const std_real_concept& a, const std_real_concept& b) |
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{ return a.value() <= b.value(); } |
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inline bool operator > (const std_real_concept& a, const std_real_concept& b) |
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{ return a.value() > b.value(); } |
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inline bool operator >= (const std_real_concept& a, const std_real_concept& b) |
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{ return a.value() >= b.value(); } |
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} // namespace concepts |
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} // namespace math |
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} // namespace boost |
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namespace std{ |
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// Non-member functions: |
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inline boost::math::concepts::std_real_concept acos(boost::math::concepts::std_real_concept a) |
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{ return std::acos(a.value()); } |
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inline boost::math::concepts::std_real_concept cos(boost::math::concepts::std_real_concept a) |
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{ return std::cos(a.value()); } |
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inline boost::math::concepts::std_real_concept asin(boost::math::concepts::std_real_concept a) |
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{ return std::asin(a.value()); } |
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inline boost::math::concepts::std_real_concept atan(boost::math::concepts::std_real_concept a) |
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{ return std::atan(a.value()); } |
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inline boost::math::concepts::std_real_concept atan2(boost::math::concepts::std_real_concept a, boost::math::concepts::std_real_concept b) |
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{ return std::atan2(a.value(), b.value()); } |
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inline boost::math::concepts::std_real_concept ceil(boost::math::concepts::std_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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inline boost::math::concepts::std_real_concept fmod(boost::math::concepts::std_real_concept a, boost::math::concepts::std_real_concept b) |
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{ return fmodl(a.value(), b.value()); } |
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#else |
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inline boost::math::concepts::std_real_concept fmod(boost::math::concepts::std_real_concept a, boost::math::concepts::std_real_concept b) |
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{ return std::fmod(a.value(), b.value()); } |
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#endif |
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inline boost::math::concepts::std_real_concept cosh(boost::math::concepts::std_real_concept a) |
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{ return std::cosh(a.value()); } |
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inline boost::math::concepts::std_real_concept exp(boost::math::concepts::std_real_concept a) |
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{ return std::exp(a.value()); } |
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inline boost::math::concepts::std_real_concept fabs(boost::math::concepts::std_real_concept a) |
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{ return std::fabs(a.value()); } |
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inline boost::math::concepts::std_real_concept abs(boost::math::concepts::std_real_concept a) |
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{ return std::abs(a.value()); } |
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inline boost::math::concepts::std_real_concept floor(boost::math::concepts::std_real_concept a) |
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{ return std::floor(a.value()); } |
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inline boost::math::concepts::std_real_concept modf(boost::math::concepts::std_real_concept a, boost::math::concepts::std_real_concept* ipart) |
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{ |
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boost::math::concepts::std_real_concept_base_type ip; |
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boost::math::concepts::std_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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} |
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inline boost::math::concepts::std_real_concept frexp(boost::math::concepts::std_real_concept a, int* expon) |
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{ return std::frexp(a.value(), expon); } |
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inline boost::math::concepts::std_real_concept ldexp(boost::math::concepts::std_real_concept a, int expon) |
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{ return std::ldexp(a.value(), expon); } |
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inline boost::math::concepts::std_real_concept log(boost::math::concepts::std_real_concept a) |
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{ return std::log(a.value()); } |
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inline boost::math::concepts::std_real_concept log10(boost::math::concepts::std_real_concept a) |
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{ return std::log10(a.value()); } |
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inline boost::math::concepts::std_real_concept tan(boost::math::concepts::std_real_concept a) |
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{ return std::tan(a.value()); } |
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inline boost::math::concepts::std_real_concept pow(boost::math::concepts::std_real_concept a, boost::math::concepts::std_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 boost::math::concepts::std_real_concept pow(boost::math::concepts::std_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 boost::math::concepts::std_real_concept pow(boost::math::concepts::std_real_concept a, int b) |
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{ return std::pow(a.value(), static_cast<long double>(b)); } |
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#endif |
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inline boost::math::concepts::std_real_concept sin(boost::math::concepts::std_real_concept a) |
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{ return std::sin(a.value()); } |
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inline boost::math::concepts::std_real_concept sinh(boost::math::concepts::std_real_concept a) |
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{ return std::sinh(a.value()); } |
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inline boost::math::concepts::std_real_concept sqrt(boost::math::concepts::std_real_concept a) |
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{ return std::sqrt(a.value()); } |
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inline boost::math::concepts::std_real_concept tanh(boost::math::concepts::std_real_concept a) |
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{ return std::tanh(a.value()); } |
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} // namespace std |
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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/precision.hpp> |
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namespace boost{ namespace math{ namespace concepts{ |
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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::std_real_concept& v, const Policy& pol) |
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{ |
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return boost::math::iround(v.value(), pol); |
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} |
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inline int iround(const concepts::std_real_concept& v) |
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{ |
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return boost::math::iround(v.value(), policies::policy<>()); |
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} |
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template <class Policy> |
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inline long lround(const concepts::std_real_concept& v, const Policy& pol) |
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{ |
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return boost::math::lround(v.value(), pol); |
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} |
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inline long lround(const concepts::std_real_concept& v) |
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{ |
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return boost::math::lround(v.value(), policies::policy<>()); |
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} |
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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::std_real_concept& v, const Policy& pol) |
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{ |
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return boost::math::llround(v.value(), pol); |
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} |
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inline boost::long_long_type llround(const concepts::std_real_concept& v) |
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{ |
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return boost::math::llround(v.value(), policies::policy<>()); |
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} |
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#endif |
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template <class Policy> |
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inline int itrunc(const concepts::std_real_concept& v, const Policy& pol) |
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{ |
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return boost::math::itrunc(v.value(), pol); |
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} |
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inline int itrunc(const concepts::std_real_concept& v) |
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{ |
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return boost::math::itrunc(v.value(), policies::policy<>()); |
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} |
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template <class Policy> |
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inline long ltrunc(const concepts::std_real_concept& v, const Policy& pol) |
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{ |
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return boost::math::ltrunc(v.value(), pol); |
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} |
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inline long ltrunc(const concepts::std_real_concept& v) |
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{ |
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return boost::math::ltrunc(v.value(), policies::policy<>()); |
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} |
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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::std_real_concept& v, const Policy& pol) |
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{ |
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return boost::math::lltrunc(v.value(), pol); |
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} |
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inline boost::long_long_type lltrunc(const concepts::std_real_concept& v) |
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{ |
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return boost::math::lltrunc(v.value(), policies::policy<>()); |
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} |
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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 std_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, std_real_concept& a) |
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{ |
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std_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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} |
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} // namespace concepts |
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}} |
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#include <boost/math/tools/precision.hpp> |
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namespace boost{ namespace math{ |
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namespace tools |
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{ |
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template <> |
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inline concepts::std_real_concept max_value<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)) |
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{ |
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return max_value<concepts::std_real_concept_base_type>(); |
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} |
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template <> |
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inline concepts::std_real_concept min_value<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)) |
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{ |
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return min_value<concepts::std_real_concept_base_type>(); |
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} |
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template <> |
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inline concepts::std_real_concept log_max_value<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)) |
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{ |
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return log_max_value<concepts::std_real_concept_base_type>(); |
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} |
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template <> |
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inline concepts::std_real_concept log_min_value<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)) |
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{ |
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return log_min_value<concepts::std_real_concept_base_type>(); |
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} |
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template <> |
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inline concepts::std_real_concept epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)) |
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{ |
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return tools::epsilon<concepts::std_real_concept_base_type>(); |
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} |
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template <> |
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inline int digits<concepts::std_real_concept>(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(concepts::std_real_concept)) |
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{ // Assume number of significand bits is same as std_real_concept_base_type, |
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// unless std::numeric_limits<T>::is_specialized to provide digits. |
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return digits<concepts::std_real_concept_base_type>(); |
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} |
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} // namespace tools |
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#if BOOST_WORKAROUND(BOOST_MSVC, <= 1310) |
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using concepts::itrunc; |
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using concepts::ltrunc; |
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using concepts::lltrunc; |
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using concepts::iround; |
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using concepts::lround; |
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using concepts::llround; |
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#endif |
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} // namespace math |
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} // namespace boost |
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#endif // BOOST_MATH_STD_REAL_CONCEPT_HPP |
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