787 lines
23 KiB
C++
787 lines
23 KiB
C++
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// Copyright (c) 2001-2011 Hartmut Kaiser
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//
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// Distributed under the Boost Software License, Version 1.0. (See accompanying
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// file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#if !defined(BOOST_SPIRIT_KARMA_NUMERIC_UTILS_FEB_23_2007_0841PM)
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#define BOOST_SPIRIT_KARMA_NUMERIC_UTILS_FEB_23_2007_0841PM
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#if defined(_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/config/no_tr1/cmath.hpp>
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#include <boost/limits.hpp>
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#include <boost/type_traits/is_integral.hpp>
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#include <boost/spirit/home/support/char_class.hpp>
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#include <boost/spirit/home/support/unused.hpp>
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#include <boost/spirit/home/support/numeric_traits.hpp>
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#include <boost/spirit/home/support/detail/pow10.hpp>
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#include <boost/spirit/home/karma/detail/generate_to.hpp>
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#include <boost/spirit/home/karma/detail/string_generate.hpp>
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#include <boost/core/cmath.hpp>
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///////////////////////////////////////////////////////////////////////////////
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//
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// The value BOOST_KARMA_NUMERICS_LOOP_UNROLL specifies, how to unroll the
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// integer string generation loop (see below).
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//
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// Set the value to some integer in between 0 (no unrolling) and the
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// largest expected generated integer string length (complete unrolling).
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// If not specified, this value defaults to 6.
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//
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///////////////////////////////////////////////////////////////////////////////
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#if !defined(BOOST_KARMA_NUMERICS_LOOP_UNROLL)
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#define BOOST_KARMA_NUMERICS_LOOP_UNROLL 6
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#endif
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#if BOOST_KARMA_NUMERICS_LOOP_UNROLL < 0
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#error "Please set the BOOST_KARMA_NUMERICS_LOOP_UNROLL to a non-negative value!"
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#endif
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namespace boost { namespace spirit { namespace traits
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{
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///////////////////////////////////////////////////////////////////////
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//
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// return the absolute value from a given number, avoiding over- and
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// underflow
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//
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///////////////////////////////////////////////////////////////////////
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template <typename T, typename Enable/* = void*/>
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struct absolute_value
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{
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typedef T type;
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static T call (T n)
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{
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// allow for ADL to find the correct overloads for fabs
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using namespace std;
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return fabs(n);
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}
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};
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#define BOOST_SPIRIT_ABSOLUTE_VALUE(signedtype, unsignedtype) \
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template <> \
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struct absolute_value<signedtype> \
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{ \
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typedef unsignedtype type; \
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static type call(signedtype n) \
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{ \
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/* implementation is well-defined for one's complement, */ \
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/* two's complement, and signed magnitude architectures */ \
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/* by the C++ Standard. [conv.integral] [expr.unary.op] */ \
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return (n >= 0) ? static_cast<type>(n) \
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: -static_cast<type>(n); \
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} \
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} \
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/**/
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#define BOOST_SPIRIT_ABSOLUTE_VALUE_UNSIGNED(unsignedtype) \
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template <> \
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struct absolute_value<unsignedtype> \
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{ \
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typedef unsignedtype type; \
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static type call(unsignedtype n) \
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{ \
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return n; \
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} \
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} \
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/**/
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#if defined(BOOST_MSVC)
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# pragma warning(push)
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// unary minus operator applied to unsigned type, result still unsigned
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# pragma warning(disable: 4146)
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#endif
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BOOST_SPIRIT_ABSOLUTE_VALUE(signed char, unsigned char);
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BOOST_SPIRIT_ABSOLUTE_VALUE(char, unsigned char);
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BOOST_SPIRIT_ABSOLUTE_VALUE(short, unsigned short);
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BOOST_SPIRIT_ABSOLUTE_VALUE(int, unsigned int);
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BOOST_SPIRIT_ABSOLUTE_VALUE(long, unsigned long);
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BOOST_SPIRIT_ABSOLUTE_VALUE_UNSIGNED(unsigned char);
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BOOST_SPIRIT_ABSOLUTE_VALUE_UNSIGNED(unsigned short);
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BOOST_SPIRIT_ABSOLUTE_VALUE_UNSIGNED(unsigned int);
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BOOST_SPIRIT_ABSOLUTE_VALUE_UNSIGNED(unsigned long);
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#ifdef BOOST_HAS_LONG_LONG
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BOOST_SPIRIT_ABSOLUTE_VALUE(boost::long_long_type, boost::ulong_long_type);
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BOOST_SPIRIT_ABSOLUTE_VALUE_UNSIGNED(boost::ulong_long_type);
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#endif
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#if defined(BOOST_MSVC)
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# pragma warning(pop)
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#endif
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#undef BOOST_SPIRIT_ABSOLUTE_VALUE
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#undef BOOST_SPIRIT_ABSOLUTE_VALUE_UNSIGNED
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template <>
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struct absolute_value<float>
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{
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typedef float type;
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static type call(float n)
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{
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return (std::fabs)(n);
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}
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};
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template <>
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struct absolute_value<double>
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{
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typedef double type;
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static type call(double n)
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{
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return (std::fabs)(n);
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}
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};
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template <>
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struct absolute_value<long double>
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{
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typedef long double type;
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static type call(long double n)
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{
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return (std::fabs)(n);
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}
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};
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// specialization for pointers
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template <typename T>
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struct absolute_value<T*>
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{
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typedef std::size_t type;
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static type call (T* p)
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{
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return std::size_t(p);
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}
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};
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template <typename T>
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inline typename absolute_value<T>::type
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get_absolute_value(T n)
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{
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return absolute_value<T>::call(n);
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}
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///////////////////////////////////////////////////////////////////////
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template <typename T, typename Enable/* = void*/>
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struct is_negative
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{
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static bool call(T n)
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{
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return (n < 0) ? true : false;
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}
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};
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template <>
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struct is_negative<float>
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{
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static bool call(float n)
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{
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return (core::signbit)(n) ? true : false;
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}
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};
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template <>
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struct is_negative<double>
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{
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static bool call(double n)
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{
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return (core::signbit)(n) ? true : false;
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}
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};
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template <>
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struct is_negative<long double>
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{
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static bool call(long double n)
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{
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return (core::signbit)(n) ? true : false;
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}
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};
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template <typename T>
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inline bool test_negative(T n)
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{
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return is_negative<T>::call(n);
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}
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///////////////////////////////////////////////////////////////////////
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template <typename T, typename Enable/* = void*/>
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struct is_zero
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{
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static bool call(T n)
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{
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return (n == 0) ? true : false;
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}
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};
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template <>
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struct is_zero<float>
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{
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static bool call(float n)
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{
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return (core::fpclassify)(n) == core::fp_zero;
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}
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};
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template <>
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struct is_zero<double>
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{
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static bool call(double n)
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{
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return (core::fpclassify)(n) == core::fp_zero;
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}
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};
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template <>
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struct is_zero<long double>
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{
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static bool call(long double n)
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{
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return (core::fpclassify)(n) == core::fp_zero;
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}
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};
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template <typename T>
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inline bool test_zero(T n)
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{
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return is_zero<T>::call(n);
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}
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///////////////////////////////////////////////////////////////////////
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template <typename T, typename Enable/* = void*/>
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struct is_nan
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{
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static bool call(T n)
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{
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// NaN numbers are not equal to anything
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return (n != n) ? true : false;
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}
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};
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template <>
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struct is_nan<float>
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{
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static bool call(float n)
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{
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return (core::fpclassify)(n) == core::fp_nan;
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}
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};
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template <>
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struct is_nan<double>
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{
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static bool call(double n)
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{
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return (core::fpclassify)(n) == core::fp_nan;
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}
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};
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template <>
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struct is_nan<long double>
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{
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static bool call(long double n)
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{
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return (core::fpclassify)(n) == core::fp_nan;
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}
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};
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template <typename T>
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inline bool test_nan(T n)
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{
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return is_nan<T>::call(n);
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}
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///////////////////////////////////////////////////////////////////////
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template <typename T, typename Enable/* = void*/>
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struct is_infinite
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{
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static bool call(T n)
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{
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return std::numeric_limits<T>::has_infinity
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&& n == std::numeric_limits<T>::infinity();
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}
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};
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template <>
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struct is_infinite<float>
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{
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static bool call(float n)
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{
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return (core::fpclassify)(n) == core::fp_infinite;
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}
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};
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template <>
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struct is_infinite<double>
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{
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static bool call(double n)
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{
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return (core::fpclassify)(n) == core::fp_infinite;
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}
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};
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template <>
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struct is_infinite<long double>
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{
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static bool call(long double n)
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{
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return (core::fpclassify)(n) == core::fp_infinite;
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}
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};
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template <typename T>
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inline bool test_infinite(T n)
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{
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return is_infinite<T>::call(n);
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}
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|
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///////////////////////////////////////////////////////////////////////
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struct cast_to_long
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{
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static long call(float n, mpl::false_)
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{
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return static_cast<long>(std::floor(n));
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}
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static long call(double n, mpl::false_)
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{
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return static_cast<long>(std::floor(n));
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}
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static long call(long double n, mpl::false_)
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{
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return static_cast<long>(std::floor(n));
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}
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template <typename T>
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static long call(T n, mpl::false_)
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{
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// allow for ADL to find the correct overload for floor and
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// lround
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using namespace std;
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return lround(floor(n));
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}
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template <typename T>
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static long call(T n, mpl::true_)
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{
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return static_cast<long>(n);
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}
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template <typename T>
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static long call(T n)
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{
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return call(n, mpl::bool_<is_integral<T>::value>());
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}
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};
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|
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///////////////////////////////////////////////////////////////////////
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struct truncate_to_long
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{
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static long call(float n, mpl::false_)
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{
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return test_negative(n) ? static_cast<long>(std::ceil(n)) :
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static_cast<long>(std::floor(n));
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}
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static long call(double n, mpl::false_)
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{
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return test_negative(n) ? static_cast<long>(std::ceil(n)) :
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static_cast<long>(std::floor(n));
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}
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|
|
||
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static long call(long double n, mpl::false_)
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{
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return test_negative(n) ? static_cast<long>(std::ceil(n)) :
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static_cast<long>(std::floor(n));
|
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|
}
|
||
|
|
||
|
template <typename T>
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||
|
static long call(T n, mpl::false_)
|
||
|
{
|
||
|
// allow for ADL to find the correct overloads for ltrunc
|
||
|
using namespace std;
|
||
|
return ltrunc(n);
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
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static long call(T n, mpl::true_)
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|
{
|
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return static_cast<long>(n);
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
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static long call(T n)
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||
|
{
|
||
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return call(n, mpl::bool_<is_integral<T>::value>());
|
||
|
}
|
||
|
};
|
||
|
|
||
|
///////////////////////////////////////////////////////////////////////
|
||
|
//
|
||
|
// Traits class for radix specific number conversion
|
||
|
//
|
||
|
// Convert a digit from binary representation to character
|
||
|
// representation:
|
||
|
//
|
||
|
// static int call(unsigned n);
|
||
|
//
|
||
|
///////////////////////////////////////////////////////////////////////
|
||
|
namespace detail
|
||
|
{
|
||
|
template <typename CharEncoding, typename Tag, bool radix_less_than_10>
|
||
|
struct convert_digit
|
||
|
{
|
||
|
static int call(unsigned n)
|
||
|
{
|
||
|
if (n <= 9)
|
||
|
return n + '0';
|
||
|
|
||
|
using spirit::char_class::convert;
|
||
|
return convert<CharEncoding>::to(Tag(), n - 10 + 'a');
|
||
|
}
|
||
|
};
|
||
|
|
||
|
template <>
|
||
|
struct convert_digit<unused_type, unused_type, false>
|
||
|
{
|
||
|
static int call(unsigned n)
|
||
|
{
|
||
|
if (n <= 9)
|
||
|
return n + '0';
|
||
|
return n - 10 + 'a';
|
||
|
}
|
||
|
};
|
||
|
|
||
|
template <typename CharEncoding, typename Tag>
|
||
|
struct convert_digit<CharEncoding, Tag, true>
|
||
|
{
|
||
|
static int call(unsigned n)
|
||
|
{
|
||
|
return n + '0';
|
||
|
}
|
||
|
};
|
||
|
}
|
||
|
|
||
|
template <unsigned Radix, typename CharEncoding, typename Tag>
|
||
|
struct convert_digit
|
||
|
: detail::convert_digit<CharEncoding, Tag, (Radix <= 10) ? true : false>
|
||
|
{};
|
||
|
|
||
|
///////////////////////////////////////////////////////////////////////
|
||
|
template <unsigned Radix>
|
||
|
struct divide
|
||
|
{
|
||
|
template <typename T>
|
||
|
static T call(T& n, mpl::true_)
|
||
|
{
|
||
|
return n / Radix;
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
|
static T call(T& n, mpl::false_)
|
||
|
{
|
||
|
// Allow ADL to find the correct overload for floor
|
||
|
using namespace std;
|
||
|
return floor(n / Radix);
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
|
static T call(T& n, T const&, int)
|
||
|
{
|
||
|
return call(n, mpl::bool_<is_integral<T>::value>());
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
|
static T call(T& n)
|
||
|
{
|
||
|
return call(n, mpl::bool_<is_integral<T>::value>());
|
||
|
}
|
||
|
};
|
||
|
|
||
|
// specialization for division by 10
|
||
|
template <>
|
||
|
struct divide<10>
|
||
|
{
|
||
|
template <typename T>
|
||
|
static T call(T& n, T, int, mpl::true_)
|
||
|
{
|
||
|
return n / 10;
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
|
static T call(T, T& num, int exp, mpl::false_)
|
||
|
{
|
||
|
// Allow ADL to find the correct overload for floor
|
||
|
using namespace std;
|
||
|
return floor(num / spirit::traits::pow10<T>(exp));
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
|
static T call(T& n, T& num, int exp)
|
||
|
{
|
||
|
return call(n, num, exp, mpl::bool_<is_integral<T>::value>());
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
|
static T call(T& n)
|
||
|
{
|
||
|
return call(n, n, 1, mpl::bool_<is_integral<T>::value>());
|
||
|
}
|
||
|
};
|
||
|
|
||
|
///////////////////////////////////////////////////////////////////////
|
||
|
template <unsigned Radix>
|
||
|
struct remainder
|
||
|
{
|
||
|
template <typename T>
|
||
|
static long call(T n, mpl::true_)
|
||
|
{
|
||
|
// this cast is safe since we know the result is not larger
|
||
|
// than Radix
|
||
|
return static_cast<long>(n % Radix);
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
|
static long call(T n, mpl::false_)
|
||
|
{
|
||
|
// Allow ADL to find the correct overload for fmod
|
||
|
using namespace std;
|
||
|
return cast_to_long::call(fmod(n, T(Radix)));
|
||
|
}
|
||
|
|
||
|
template <typename T>
|
||
|
static long call(T n)
|
||
|
{
|
||
|
return call(n, mpl::bool_<is_integral<T>::value>());
|
||
|
}
|
||
|
};
|
||
|
}}}
|
||
|
|
||
|
namespace boost { namespace spirit { namespace karma
|
||
|
{
|
||
|
///////////////////////////////////////////////////////////////////////////
|
||
|
//
|
||
|
// The int_inserter template takes care of the integer to string
|
||
|
// conversion. If specified, the loop is unrolled for better performance.
|
||
|
//
|
||
|
// Set the value BOOST_KARMA_NUMERICS_LOOP_UNROLL to some integer in
|
||
|
// between 0 (no unrolling) and the largest expected generated integer
|
||
|
// string length (complete unrolling).
|
||
|
// If not specified, this value defaults to 6.
|
||
|
//
|
||
|
///////////////////////////////////////////////////////////////////////////
|
||
|
#define BOOST_KARMA_NUMERICS_INNER_LOOP_PREFIX(z, x, data) \
|
||
|
if (!traits::test_zero(n)) { \
|
||
|
int ch_##x = radix_type::call(remainder_type::call(n)); \
|
||
|
n = divide_type::call(n, num, ++exp); \
|
||
|
/**/
|
||
|
|
||
|
#define BOOST_KARMA_NUMERICS_INNER_LOOP_SUFFIX(z, x, n_rolls_sub1) \
|
||
|
*sink = char(BOOST_PP_CAT(ch_, BOOST_PP_SUB(n_rolls_sub1, x))); \
|
||
|
++sink; \
|
||
|
} \
|
||
|
/**/
|
||
|
|
||
|
template <
|
||
|
unsigned Radix, typename CharEncoding = unused_type
|
||
|
, typename Tag = unused_type>
|
||
|
struct int_inserter
|
||
|
{
|
||
|
typedef traits::convert_digit<Radix, CharEncoding, Tag> radix_type;
|
||
|
typedef traits::divide<Radix> divide_type;
|
||
|
typedef traits::remainder<Radix> remainder_type;
|
||
|
|
||
|
template <typename OutputIterator, typename T>
|
||
|
static bool
|
||
|
call(OutputIterator& sink, T n, T& num, int exp)
|
||
|
{
|
||
|
// remainder_type::call returns n % Radix
|
||
|
int ch = radix_type::call(remainder_type::call(n));
|
||
|
n = divide_type::call(n, num, ++exp);
|
||
|
|
||
|
BOOST_PP_REPEAT(
|
||
|
BOOST_KARMA_NUMERICS_LOOP_UNROLL,
|
||
|
BOOST_KARMA_NUMERICS_INNER_LOOP_PREFIX, _);
|
||
|
|
||
|
if (!traits::test_zero(n))
|
||
|
call(sink, n, num, exp);
|
||
|
|
||
|
BOOST_PP_REPEAT(
|
||
|
BOOST_KARMA_NUMERICS_LOOP_UNROLL,
|
||
|
BOOST_KARMA_NUMERICS_INNER_LOOP_SUFFIX,
|
||
|
BOOST_PP_DEC(BOOST_KARMA_NUMERICS_LOOP_UNROLL));
|
||
|
|
||
|
*sink = char(ch);
|
||
|
++sink;
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
// Common code for integer string representations
|
||
|
template <typename OutputIterator, typename T>
|
||
|
static bool
|
||
|
call(OutputIterator& sink, T n)
|
||
|
{
|
||
|
return call(sink, n, n, 0);
|
||
|
}
|
||
|
|
||
|
private:
|
||
|
// helper function returning the biggest number representable either in
|
||
|
// a boost::long_long_type (if this does exist) or in a plain long
|
||
|
// otherwise
|
||
|
#if defined(BOOST_HAS_LONG_LONG)
|
||
|
typedef boost::long_long_type biggest_long_type;
|
||
|
#else
|
||
|
typedef long biggest_long_type;
|
||
|
#endif
|
||
|
|
||
|
static biggest_long_type max_long()
|
||
|
{
|
||
|
return (std::numeric_limits<biggest_long_type>::max)();
|
||
|
}
|
||
|
|
||
|
public:
|
||
|
// Specialization for doubles and floats, falling back to long integers
|
||
|
// for representable values. These specializations speed up formatting
|
||
|
// of floating point numbers considerably as all the required
|
||
|
// arithmetics will be executed using integral data types.
|
||
|
template <typename OutputIterator>
|
||
|
static bool
|
||
|
call(OutputIterator& sink, long double n)
|
||
|
{
|
||
|
if (std::fabs(n) < max_long())
|
||
|
{
|
||
|
biggest_long_type l((biggest_long_type)n);
|
||
|
return call(sink, l, l, 0);
|
||
|
}
|
||
|
return call(sink, n, n, 0);
|
||
|
}
|
||
|
template <typename OutputIterator>
|
||
|
static bool
|
||
|
call(OutputIterator& sink, double n)
|
||
|
{
|
||
|
if (std::fabs(n) < max_long())
|
||
|
{
|
||
|
biggest_long_type l((biggest_long_type)n);
|
||
|
return call(sink, l, l, 0);
|
||
|
}
|
||
|
return call(sink, n, n, 0);
|
||
|
}
|
||
|
template <typename OutputIterator>
|
||
|
static bool
|
||
|
call(OutputIterator& sink, float n)
|
||
|
{
|
||
|
if (std::fabs(n) < max_long())
|
||
|
{
|
||
|
biggest_long_type l((biggest_long_type)n);
|
||
|
return call(sink, l, l, 0);
|
||
|
}
|
||
|
return call(sink, n, n, 0);
|
||
|
}
|
||
|
};
|
||
|
|
||
|
#undef BOOST_KARMA_NUMERICS_INNER_LOOP_PREFIX
|
||
|
#undef BOOST_KARMA_NUMERICS_INNER_LOOP_SUFFIX
|
||
|
|
||
|
///////////////////////////////////////////////////////////////////////////
|
||
|
//
|
||
|
// The uint_inserter template takes care of the conversion of any integer
|
||
|
// to a string, while interpreting the number as an unsigned type.
|
||
|
//
|
||
|
///////////////////////////////////////////////////////////////////////////
|
||
|
template <
|
||
|
unsigned Radix, typename CharEncoding = unused_type
|
||
|
, typename Tag = unused_type>
|
||
|
struct uint_inserter : int_inserter<Radix, CharEncoding, Tag>
|
||
|
{
|
||
|
typedef int_inserter<Radix, CharEncoding, Tag> base_type;
|
||
|
|
||
|
// Common code for integer string representations
|
||
|
template <typename OutputIterator, typename T>
|
||
|
static bool
|
||
|
call(OutputIterator& sink, T const& n)
|
||
|
{
|
||
|
typedef typename traits::absolute_value<T>::type type;
|
||
|
type un = type(n);
|
||
|
return base_type::call(sink, un, un, 0);
|
||
|
}
|
||
|
};
|
||
|
|
||
|
///////////////////////////////////////////////////////////////////////////
|
||
|
//
|
||
|
// The sign_inserter template generates a sign for a given numeric value.
|
||
|
//
|
||
|
// The parameter forcesign allows to generate a sign even for positive
|
||
|
// numbers.
|
||
|
//
|
||
|
///////////////////////////////////////////////////////////////////////////
|
||
|
struct sign_inserter
|
||
|
{
|
||
|
template <typename OutputIterator>
|
||
|
static bool
|
||
|
call_noforce(OutputIterator& sink, bool is_zero, bool is_negative,
|
||
|
bool sign_if_zero)
|
||
|
{
|
||
|
// generate a sign for negative numbers only
|
||
|
if (is_negative || (is_zero && sign_if_zero)) {
|
||
|
*sink = '-';
|
||
|
++sink;
|
||
|
}
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
template <typename OutputIterator>
|
||
|
static bool
|
||
|
call_force(OutputIterator& sink, bool is_zero, bool is_negative,
|
||
|
bool sign_if_zero)
|
||
|
{
|
||
|
// generate a sign for all numbers except zero
|
||
|
if (!is_zero || sign_if_zero)
|
||
|
*sink = is_negative ? '-' : '+';
|
||
|
else
|
||
|
*sink = ' ';
|
||
|
|
||
|
++sink;
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
template <typename OutputIterator>
|
||
|
static bool
|
||
|
call(OutputIterator& sink, bool is_zero, bool is_negative
|
||
|
, bool forcesign, bool sign_if_zero = false)
|
||
|
{
|
||
|
return forcesign ?
|
||
|
call_force(sink, is_zero, is_negative, sign_if_zero) :
|
||
|
call_noforce(sink, is_zero, is_negative, sign_if_zero);
|
||
|
}
|
||
|
};
|
||
|
|
||
|
///////////////////////////////////////////////////////////////////////////
|
||
|
// These are helper functions for the real policies allowing to generate
|
||
|
// a single character and a string
|
||
|
///////////////////////////////////////////////////////////////////////////
|
||
|
template <typename CharEncoding = unused_type, typename Tag = unused_type>
|
||
|
struct char_inserter
|
||
|
{
|
||
|
template <typename OutputIterator, typename Char>
|
||
|
static bool call(OutputIterator& sink, Char c)
|
||
|
{
|
||
|
return detail::generate_to(sink, c, CharEncoding(), Tag());
|
||
|
}
|
||
|
};
|
||
|
|
||
|
template <typename CharEncoding = unused_type, typename Tag = unused_type>
|
||
|
struct string_inserter
|
||
|
{
|
||
|
template <typename OutputIterator, typename String>
|
||
|
static bool call(OutputIterator& sink, String str)
|
||
|
{
|
||
|
return detail::string_generate(sink, str, CharEncoding(), Tag());
|
||
|
}
|
||
|
};
|
||
|
|
||
|
}}}
|
||
|
|
||
|
#endif
|