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1071 lines
33 KiB
C++
1071 lines
33 KiB
C++
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// Boost.Units - A C++ library for zero-overhead dimensional analysis and
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// unit/quantity manipulation and conversion
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//
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// Copyright (C) 2003-2008 Matthias Christian Schabel
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// Copyright (C) 2007-2010 Steven Watanabe
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//
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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#ifndef BOOST_UNITS_IO_HPP
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#define BOOST_UNITS_IO_HPP
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/// \file
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/// \brief Stream input and output for rationals, units and quantities.
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/// \details Functions and manipulators for output and input of units and quantities.
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/// symbol and name format, and engineering and binary autoprefix.
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/// Serialization output is also supported.
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#include <cassert>
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#include <cmath>
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#include <string>
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#include <iosfwd>
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#include <ios>
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#include <sstream>
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#include <boost/assert.hpp>
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#include <boost/serialization/nvp.hpp>
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#include <boost/units/units_fwd.hpp>
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#include <boost/units/heterogeneous_system.hpp>
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#include <boost/units/make_scaled_unit.hpp>
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#include <boost/units/quantity.hpp>
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#include <boost/units/scale.hpp>
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#include <boost/units/static_rational.hpp>
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#include <boost/units/unit.hpp>
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#include <boost/units/detail/utility.hpp>
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namespace boost {
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namespace serialization {
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/// Boost Serialization library support for units.
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template<class Archive,class System,class Dim>
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inline void serialize(Archive& /*ar*/,boost::units::unit<Dim,System>&,const unsigned int /*version*/)
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{ }
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/// Boost Serialization library support for quantities.
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template<class Archive,class Unit,class Y>
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inline void serialize(Archive& ar,boost::units::quantity<Unit,Y>& q,const unsigned int /*version*/)
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{
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ar & boost::serialization::make_nvp("value", units::quantity_cast<Y&>(q));
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}
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} // namespace serialization
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namespace units {
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// get string representation of arbitrary type.
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template<class T> std::string to_string(const T& t)
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{
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std::stringstream sstr;
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sstr << t;
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return sstr.str();
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}
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/// get string representation of integral-valued @c static_rational.
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template<integer_type N> std::string to_string(const static_rational<N>&)
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{
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return to_string(N);
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}
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/// get string representation of @c static_rational.
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template<integer_type N, integer_type D> std::string to_string(const static_rational<N,D>&)
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{
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return '(' + to_string(N) + '/' + to_string(D) + ')';
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}
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/// Write @c static_rational to @c std::basic_ostream.
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template<class Char, class Traits, integer_type N, integer_type D>
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inline std::basic_ostream<Char, Traits>& operator<<(std::basic_ostream<Char, Traits>& os,const static_rational<N,D>& r)
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{
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os << to_string(r);
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return os;
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}
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/// traits template for unit names.
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template<class BaseUnit>
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struct base_unit_info
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{
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/// INTERNAL ONLY
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typedef void base_unit_info_primary_template;
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/// The full name of the unit (returns BaseUnit::name() by default)
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static std::string name()
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{
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return(BaseUnit::name());
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}
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/// The symbol for the base unit (Returns BaseUnit::symbol() by default)
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static std::string symbol()
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{
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return(BaseUnit::symbol()); /// \returns BaseUnit::symbol(), for example "m"
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}
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};
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/// \enum format_mode format of output of units, for example "m" or "meter".
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enum format_mode
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{
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symbol_fmt = 0, /// default - reduces unit names to known symbols for both base and derived units.
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name_fmt = 1, /// output full unit names for base and derived units, for example "meter".
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raw_fmt = 2, /// output only symbols for base units (but not derived units), for example "m".
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typename_fmt = 3, /// output demangled typenames (useful only for diagnosis).
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fmt_mask = 3 /// Bits used for format.
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};
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/// \enum autoprefix_mode automatic scaling and prefix (controlled by value of quantity) a, if any,
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enum autoprefix_mode
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{
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autoprefix_none = 0, /// No automatic prefix.
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autoprefix_engineering = 4, /// Scale and prefix with 10^3 multiples, 1234.5 m output as 1.2345 km.
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autoprefix_binary = 8, /// Scale and prefix with 2^10 (1024) multiples, 1024 as 1 kb.
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autoprefix_mask = 12 /// Bits used for autoprefix.
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};
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namespace detail {
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template<bool>
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struct xalloc_key_holder
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{
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static int value;
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static bool initialized;
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};
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template<bool b>
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int xalloc_key_holder<b>::value = 0;
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template<bool b>
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bool xalloc_key_holder<b>::initialized = 0;
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struct xalloc_key_initializer_t
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{
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xalloc_key_initializer_t()
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{
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if (!xalloc_key_holder<true>::initialized)
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{
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xalloc_key_holder<true>::value = std::ios_base::xalloc();
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xalloc_key_holder<true>::initialized = true;
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}
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}
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};
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namespace /**/ {
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xalloc_key_initializer_t xalloc_key_initializer;
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} // namespace
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} // namespace detail
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/// returns flags controlling output.
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inline long get_flags(std::ios_base& ios, long mask)
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{
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return(ios.iword(detail::xalloc_key_holder<true>::value) & mask);
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}
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/// Set new flags controlling output format.
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inline void set_flags(std::ios_base& ios, long new_flags, long mask)
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{
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BOOST_ASSERT((~mask & new_flags) == 0);
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long& flags = ios.iword(detail::xalloc_key_holder<true>::value);
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flags = (flags & ~mask) | new_flags;
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}
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/// returns flags controlling output format.
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inline format_mode get_format(std::ios_base& ios)
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{
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return(static_cast<format_mode>((get_flags)(ios, fmt_mask)));
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}
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/// Set new flags controlling output format.
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inline void set_format(std::ios_base& ios, format_mode new_mode)
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{
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(set_flags)(ios, new_mode, fmt_mask);
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}
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/// Set new flags for type_name output format.
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inline std::ios_base& typename_format(std::ios_base& ios)
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{
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(set_format)(ios, typename_fmt);
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return(ios);
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}
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/// set new flag for raw format output, for example "m".
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inline std::ios_base& raw_format(std::ios_base& ios)
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{
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(set_format)(ios, raw_fmt);
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return(ios);
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}
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/// set new format flag for symbol output, for example "m".
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inline std::ios_base& symbol_format(std::ios_base& ios)
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{
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(set_format)(ios, symbol_fmt);
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return(ios);
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}
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/// set new format for name output, for example "meter".
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inline std::ios_base& name_format(std::ios_base& ios)
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{
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(set_format)(ios, name_fmt);
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return(ios);
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}
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/// get autoprefix flags for output.
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inline autoprefix_mode get_autoprefix(std::ios_base& ios)
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{
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return static_cast<autoprefix_mode>((get_flags)(ios, autoprefix_mask));
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}
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/// Get format for output.
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inline void set_autoprefix(std::ios_base& ios, autoprefix_mode new_mode)
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{
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(set_flags)(ios, new_mode, autoprefix_mask);
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}
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/// Clear autoprefix flags.
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inline std::ios_base& no_prefix(std::ios_base& ios)
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{
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(set_autoprefix)(ios, autoprefix_none);
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return ios;
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}
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/// Set flag for engineering prefix, so 1234.5 m displays as "1.2345 km".
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inline std::ios_base& engineering_prefix(std::ios_base& ios)
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{
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(set_autoprefix)(ios, autoprefix_engineering);
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return ios;
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}
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/// Set flag for binary prefix, so 1024 byte displays as "1 Kib".
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inline std::ios_base& binary_prefix(std::ios_base& ios)
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{
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(set_autoprefix)(ios, autoprefix_binary);
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return ios;
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}
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namespace detail {
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/// \return exponent string like "^1/2".
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template<integer_type N, integer_type D>
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inline std::string exponent_string(const static_rational<N,D>& r)
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{
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return '^' + to_string(r);
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}
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/// \return empty exponent string for integer rational like 2.
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template<>
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inline std::string exponent_string(const static_rational<1>&)
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{
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return "";
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}
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template<class T>
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inline std::string base_unit_symbol_string(const T&)
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{
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return base_unit_info<typename T::tag_type>::symbol() + exponent_string(typename T::value_type());
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}
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template<class T>
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inline std::string base_unit_name_string(const T&)
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{
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return base_unit_info<typename T::tag_type>::name() + exponent_string(typename T::value_type());
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}
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// stringify with symbols.
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template<int N>
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struct symbol_string_impl
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{
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template<class Begin>
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struct apply
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{
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typedef typename symbol_string_impl<N-1>::template apply<typename Begin::next> next;
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static void value(std::string& str)
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{
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str += base_unit_symbol_string(typename Begin::item()) + ' ';
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next::value(str);
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}
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};
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};
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template<>
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struct symbol_string_impl<1>
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{
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template<class Begin>
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struct apply
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{
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static void value(std::string& str)
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{
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str += base_unit_symbol_string(typename Begin::item());
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}
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};
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};
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template<>
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struct symbol_string_impl<0>
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{
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template<class Begin>
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struct apply
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{
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static void value(std::string& str)
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{
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// better shorthand for dimensionless?
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str += "dimensionless";
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}
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};
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};
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template<int N>
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struct scale_symbol_string_impl
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{
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template<class Begin>
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struct apply
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{
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static void value(std::string& str)
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{
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str += Begin::item::symbol();
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scale_symbol_string_impl<N - 1>::template apply<typename Begin::next>::value(str);
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}
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};
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};
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template<>
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struct scale_symbol_string_impl<0>
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{
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template<class Begin>
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struct apply
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{
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static void value(std::string&) { }
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};
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};
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// stringify with names.
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template<int N>
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struct name_string_impl
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{
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template<class Begin>
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struct apply
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{
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typedef typename name_string_impl<N-1>::template apply<typename Begin::next> next;
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static void value(std::string& str)
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{
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str += base_unit_name_string(typename Begin::item()) + ' ';
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next::value(str);
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}
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};
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};
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template<>
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struct name_string_impl<1>
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{
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template<class Begin>
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struct apply
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{
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static void value(std::string& str)
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{
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str += base_unit_name_string(typename Begin::item());
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}
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};
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};
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template<>
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struct name_string_impl<0>
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{
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template<class Begin>
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struct apply
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{
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static void value(std::string& str)
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{
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str += "dimensionless";
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}
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};
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};
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template<int N>
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struct scale_name_string_impl
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{
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template<class Begin>
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struct apply
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{
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static void value(std::string& str)
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{
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str += Begin::item::name();
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scale_name_string_impl<N - 1>::template apply<typename Begin::next>::value(str);
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}
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};
|
||
|
|
};
|
||
|
|
|
||
|
|
template<>
|
||
|
|
struct scale_name_string_impl<0>
|
||
|
|
{
|
||
|
|
template<class Begin>
|
||
|
|
struct apply
|
||
|
|
{
|
||
|
|
static void value(std::string&) { }
|
||
|
|
};
|
||
|
|
};
|
||
|
|
|
||
|
|
} // namespace detail
|
||
|
|
|
||
|
|
namespace detail {
|
||
|
|
|
||
|
|
// These two overloads of symbol_string and name_string will
|
||
|
|
// will pick up homogeneous_systems. They simply call the
|
||
|
|
// appropriate function with a heterogeneous_system.
|
||
|
|
template<class Dimension,class System, class SubFormatter>
|
||
|
|
inline std::string
|
||
|
|
to_string_impl(const unit<Dimension,System>&, SubFormatter f)
|
||
|
|
{
|
||
|
|
return f(typename reduce_unit<unit<Dimension, System> >::type());
|
||
|
|
}
|
||
|
|
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
// this overload picks up heterogeneous units that are not scaled.
|
||
|
|
template<class Dimension,class Units, class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
to_string_impl(const unit<Dimension, heterogeneous_system<heterogeneous_system_impl<Units, Dimension, dimensionless_type> > >&, Subformatter f)
|
||
|
|
{
|
||
|
|
std::string str;
|
||
|
|
f.template append_units_to<Units>(str);
|
||
|
|
return(str);
|
||
|
|
}
|
||
|
|
|
||
|
|
// This overload is a special case for heterogeneous_system which
|
||
|
|
// is really unitless
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
template<class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
to_string_impl(const unit<dimensionless_type, heterogeneous_system<heterogeneous_system_impl<dimensionless_type, dimensionless_type, dimensionless_type> > >&, Subformatter)
|
||
|
|
{
|
||
|
|
return("dimensionless");
|
||
|
|
}
|
||
|
|
|
||
|
|
// this overload deals with heterogeneous_systems which are unitless
|
||
|
|
// but scaled.
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
template<class Scale, class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
to_string_impl(const unit<dimensionless_type, heterogeneous_system<heterogeneous_system_impl<dimensionless_type, dimensionless_type, Scale> > >&, Subformatter f)
|
||
|
|
{
|
||
|
|
std::string str;
|
||
|
|
f.template append_scale_to<Scale>(str);
|
||
|
|
return(str);
|
||
|
|
}
|
||
|
|
|
||
|
|
// this overload deals with scaled units.
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
template<class Dimension,class Units,class Scale, class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
to_string_impl(const unit<Dimension, heterogeneous_system<heterogeneous_system_impl<Units, Dimension, Scale> > >&, Subformatter f)
|
||
|
|
{
|
||
|
|
std::string str;
|
||
|
|
|
||
|
|
f.template append_scale_to<Scale>(str);
|
||
|
|
|
||
|
|
std::string without_scale = f(unit<Dimension, heterogeneous_system<heterogeneous_system_impl<Units, Dimension, dimensionless_type> > >());
|
||
|
|
|
||
|
|
if (f.is_default_string(without_scale, unit<Dimension, heterogeneous_system<heterogeneous_system_impl<Units, Dimension, dimensionless_type> > >()))
|
||
|
|
{
|
||
|
|
str += "(";
|
||
|
|
str += without_scale;
|
||
|
|
str += ")";
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
str += without_scale;
|
||
|
|
}
|
||
|
|
|
||
|
|
return(str);
|
||
|
|
}
|
||
|
|
|
||
|
|
// This overload catches scaled units that have a single base unit
|
||
|
|
// raised to the first power. It causes si::nano * si::meters to not
|
||
|
|
// put parentheses around the meters. i.e. nm rather than n(m)
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
template<class Dimension,class Unit,class Scale, class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
to_string_impl(const unit<Dimension, heterogeneous_system<heterogeneous_system_impl<list<heterogeneous_system_dim<Unit, static_rational<1> >,dimensionless_type>, Dimension, Scale> > >&, Subformatter f)
|
||
|
|
{
|
||
|
|
std::string str;
|
||
|
|
|
||
|
|
f.template append_scale_to<Scale>(str);
|
||
|
|
str += f(unit<Dimension, heterogeneous_system<heterogeneous_system_impl<list<heterogeneous_system_dim<Unit, static_rational<1> >, dimensionless_type>, Dimension, dimensionless_type> > >());
|
||
|
|
|
||
|
|
return(str);
|
||
|
|
}
|
||
|
|
|
||
|
|
// This overload is necessary to disambiguate.
|
||
|
|
// it catches units that are unscaled and have a single
|
||
|
|
// base unit raised to the first power. It is treated the
|
||
|
|
// same as any other unscaled unit.
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
template<class Dimension,class Unit,class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
to_string_impl(const unit<Dimension, heterogeneous_system<heterogeneous_system_impl<list<heterogeneous_system_dim<Unit, static_rational<1> >,dimensionless_type>, Dimension, dimensionless_type> > >&, Subformatter f)
|
||
|
|
{
|
||
|
|
std::string str;
|
||
|
|
f.template append_units_to<list<heterogeneous_system_dim<Unit, static_rational<1> >,dimensionless_type> >(str);
|
||
|
|
return(str);
|
||
|
|
}
|
||
|
|
|
||
|
|
// This overload catches scaled units that have a single scaled base unit
|
||
|
|
// raised to the first power. It moves that scaling on the base unit
|
||
|
|
// to the unit level scaling and recurses. By doing this we make sure that
|
||
|
|
// si::milli * si::kilograms will print g rather than mkg.
|
||
|
|
//
|
||
|
|
// This transformation will not be applied if base_unit_info is specialized
|
||
|
|
// for the scaled base unit.
|
||
|
|
//
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
template<class Dimension,class Unit,class UnitScale, class Scale, class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
to_string_impl(
|
||
|
|
const unit<
|
||
|
|
Dimension,
|
||
|
|
heterogeneous_system<
|
||
|
|
heterogeneous_system_impl<
|
||
|
|
list<heterogeneous_system_dim<scaled_base_unit<Unit, UnitScale>, static_rational<1> >, dimensionless_type>,
|
||
|
|
Dimension,
|
||
|
|
Scale
|
||
|
|
>
|
||
|
|
>
|
||
|
|
>&,
|
||
|
|
Subformatter f,
|
||
|
|
typename base_unit_info<scaled_base_unit<Unit, UnitScale> >::base_unit_info_primary_template* = 0)
|
||
|
|
{
|
||
|
|
return(f(
|
||
|
|
unit<
|
||
|
|
Dimension,
|
||
|
|
heterogeneous_system<
|
||
|
|
heterogeneous_system_impl<
|
||
|
|
list<heterogeneous_system_dim<Unit, static_rational<1> >, dimensionless_type>,
|
||
|
|
Dimension,
|
||
|
|
typename mpl::times<Scale, list<scale_list_dim<UnitScale>, dimensionless_type> >::type
|
||
|
|
>
|
||
|
|
>
|
||
|
|
>()));
|
||
|
|
}
|
||
|
|
|
||
|
|
// this overload disambuguates between the overload for an unscaled unit
|
||
|
|
// and the overload for a scaled base unit raised to the first power.
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
template<class Dimension,class Unit,class UnitScale,class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
to_string_impl(
|
||
|
|
const unit<
|
||
|
|
Dimension,
|
||
|
|
heterogeneous_system<
|
||
|
|
heterogeneous_system_impl<
|
||
|
|
list<heterogeneous_system_dim<scaled_base_unit<Unit, UnitScale>, static_rational<1> >, dimensionless_type>,
|
||
|
|
Dimension,
|
||
|
|
dimensionless_type
|
||
|
|
>
|
||
|
|
>
|
||
|
|
>&,
|
||
|
|
Subformatter f,
|
||
|
|
typename base_unit_info<scaled_base_unit<Unit, UnitScale> >::base_unit_info_primary_template* = 0)
|
||
|
|
{
|
||
|
|
std::string str;
|
||
|
|
f.template append_units_to<list<heterogeneous_system_dim<scaled_base_unit<Unit, UnitScale>, static_rational<1> >, dimensionless_type> >(str);
|
||
|
|
return(str);
|
||
|
|
}
|
||
|
|
|
||
|
|
struct format_raw_symbol_impl {
|
||
|
|
template<class Units>
|
||
|
|
void append_units_to(std::string& str) {
|
||
|
|
detail::symbol_string_impl<Units::size::value>::template apply<Units>::value(str);
|
||
|
|
}
|
||
|
|
template<class Scale>
|
||
|
|
void append_scale_to(std::string& str) {
|
||
|
|
detail::scale_symbol_string_impl<Scale::size::value>::template apply<Scale>::value(str);
|
||
|
|
}
|
||
|
|
template<class Unit>
|
||
|
|
std::string operator()(const Unit& u) {
|
||
|
|
return(to_string_impl(u, *this));
|
||
|
|
}
|
||
|
|
template<class Unit>
|
||
|
|
bool is_default_string(const std::string&, const Unit&) {
|
||
|
|
return(true);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
struct format_symbol_impl : format_raw_symbol_impl {
|
||
|
|
template<class Unit>
|
||
|
|
std::string operator()(const Unit& u) {
|
||
|
|
return(symbol_string(u));
|
||
|
|
}
|
||
|
|
template<class Unit>
|
||
|
|
bool is_default_string(const std::string& str, const Unit& u) {
|
||
|
|
return(str == to_string_impl(u, format_raw_symbol_impl()));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
struct format_raw_name_impl {
|
||
|
|
template<class Units>
|
||
|
|
void append_units_to(std::string& str) {
|
||
|
|
detail::name_string_impl<(Units::size::value)>::template apply<Units>::value(str);
|
||
|
|
}
|
||
|
|
template<class Scale>
|
||
|
|
void append_scale_to(std::string& str) {
|
||
|
|
detail::scale_name_string_impl<Scale::size::value>::template apply<Scale>::value(str);
|
||
|
|
}
|
||
|
|
template<class Unit>
|
||
|
|
std::string operator()(const Unit& u) {
|
||
|
|
return(to_string_impl(u, *this));
|
||
|
|
}
|
||
|
|
template<class Unit>
|
||
|
|
bool is_default_string(const std::string&, const Unit&) {
|
||
|
|
return(true);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
struct format_name_impl : format_raw_name_impl {
|
||
|
|
template<class Unit>
|
||
|
|
std::string operator()(const Unit& u) {
|
||
|
|
return(name_string(u));
|
||
|
|
}
|
||
|
|
template<class Unit>
|
||
|
|
bool is_default_string(const std::string& str, const Unit& u) {
|
||
|
|
return(str == to_string_impl(u, format_raw_name_impl()));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<class Char, class Traits>
|
||
|
|
inline void do_print(std::basic_ostream<Char, Traits>& os, const std::string& s)
|
||
|
|
{
|
||
|
|
os << s.c_str();
|
||
|
|
}
|
||
|
|
|
||
|
|
inline void do_print(std::ostream& os, const std::string& s)
|
||
|
|
{
|
||
|
|
os << s;
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Char, class Traits>
|
||
|
|
inline void do_print(std::basic_ostream<Char, Traits>& os, const char* s)
|
||
|
|
{
|
||
|
|
os << s;
|
||
|
|
}
|
||
|
|
|
||
|
|
// For automatically applying the appropriate prefixes.
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
#ifdef BOOST_UNITS_DOXYGEN
|
||
|
|
|
||
|
|
/// ADL customization point for automatic prefixing.
|
||
|
|
/// Returns a non-negative value. Implemented as std::abs
|
||
|
|
/// for built-in types.
|
||
|
|
template<class T>
|
||
|
|
double autoprefix_norm(const T& arg);
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
template<class T, bool C = boost::is_arithmetic<T>::value>
|
||
|
|
struct autoprefix_norm_impl;
|
||
|
|
|
||
|
|
template<class T>
|
||
|
|
struct autoprefix_norm_impl<T, true>
|
||
|
|
{
|
||
|
|
typedef double type;
|
||
|
|
static double call(const T& arg) { return std::abs(arg); }
|
||
|
|
};
|
||
|
|
|
||
|
|
template<class T>
|
||
|
|
struct autoprefix_norm_impl<T, false>
|
||
|
|
{
|
||
|
|
typedef one type;
|
||
|
|
static one call(const T&) { return one(); }
|
||
|
|
};
|
||
|
|
|
||
|
|
template<class T>
|
||
|
|
typename autoprefix_norm_impl<T>::type autoprefix_norm(const T& arg)
|
||
|
|
{
|
||
|
|
return autoprefix_norm_impl<T>::call(arg);
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif
|
||
|
|
|
||
|
|
namespace detail {
|
||
|
|
|
||
|
|
template<class End, class Prev, class T, class F>
|
||
|
|
bool find_matching_scale_impl(End, End, Prev, T, double, F)
|
||
|
|
{
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Begin, class End, class Prev, class T, class F>
|
||
|
|
bool find_matching_scale_impl(Begin, End end, Prev prev, T t, double x, F f)
|
||
|
|
{
|
||
|
|
if(Begin::item::value() > x) {
|
||
|
|
f(prev, t);
|
||
|
|
return true;
|
||
|
|
} else {
|
||
|
|
return detail::find_matching_scale_impl(
|
||
|
|
typename Begin::next(),
|
||
|
|
end,
|
||
|
|
typename Begin::item(),
|
||
|
|
t,
|
||
|
|
x,
|
||
|
|
f
|
||
|
|
);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class End, class T, class F>
|
||
|
|
bool find_matching_scale_i(End, End, T, double, F)
|
||
|
|
{
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Begin, class End, class T, class F>
|
||
|
|
bool find_matching_scale_i(Begin, End end, T t, double x, F f)
|
||
|
|
{
|
||
|
|
if(Begin::item::value() > x) {
|
||
|
|
return false;
|
||
|
|
} else {
|
||
|
|
return detail::find_matching_scale_impl(typename Begin::next(), end, typename Begin::item(), t, x, f);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Scales, class T, class F>
|
||
|
|
bool find_matching_scale(T t, double x, F f)
|
||
|
|
{
|
||
|
|
return detail::find_matching_scale_i(Scales(), dimensionless_type(), t, x, f);
|
||
|
|
}
|
||
|
|
|
||
|
|
typedef list<scale<10, static_rational<-24> >,
|
||
|
|
list<scale<10, static_rational<-21> >,
|
||
|
|
list<scale<10, static_rational<-18> >,
|
||
|
|
list<scale<10, static_rational<-15> >,
|
||
|
|
list<scale<10, static_rational<-12> >,
|
||
|
|
list<scale<10, static_rational<-9> >,
|
||
|
|
list<scale<10, static_rational<-6> >,
|
||
|
|
list<scale<10, static_rational<-3> >,
|
||
|
|
list<scale<10, static_rational<0> >,
|
||
|
|
list<scale<10, static_rational<3> >,
|
||
|
|
list<scale<10, static_rational<6> >,
|
||
|
|
list<scale<10, static_rational<9> >,
|
||
|
|
list<scale<10, static_rational<12> >,
|
||
|
|
list<scale<10, static_rational<15> >,
|
||
|
|
list<scale<10, static_rational<18> >,
|
||
|
|
list<scale<10, static_rational<21> >,
|
||
|
|
list<scale<10, static_rational<24> >,
|
||
|
|
list<scale<10, static_rational<27> >,
|
||
|
|
dimensionless_type> > > > > > > > > > > > > > > > > > engineering_prefixes;
|
||
|
|
|
||
|
|
typedef list<scale<2, static_rational<10> >,
|
||
|
|
list<scale<2, static_rational<20> >,
|
||
|
|
list<scale<2, static_rational<30> >,
|
||
|
|
list<scale<2, static_rational<40> >,
|
||
|
|
list<scale<2, static_rational<50> >,
|
||
|
|
list<scale<2, static_rational<60> >,
|
||
|
|
list<scale<2, static_rational<70> >,
|
||
|
|
list<scale<2, static_rational<80> >,
|
||
|
|
list<scale<2, static_rational<90> >,
|
||
|
|
dimensionless_type> > > > > > > > > binary_prefixes;
|
||
|
|
|
||
|
|
template<class Os, class Quantity>
|
||
|
|
struct print_default_t {
|
||
|
|
typedef void result_type;
|
||
|
|
void operator()() const
|
||
|
|
{
|
||
|
|
*os << q->value() << ' ' << typename Quantity::unit_type();
|
||
|
|
}
|
||
|
|
Os* os;
|
||
|
|
const Quantity* q;
|
||
|
|
};
|
||
|
|
|
||
|
|
template<class Os, class Quantity>
|
||
|
|
print_default_t<Os, Quantity> print_default(Os& os, const Quantity& q)
|
||
|
|
{
|
||
|
|
print_default_t<Os, Quantity> result = { &os, &q };
|
||
|
|
return result;
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Os>
|
||
|
|
struct print_scale_t {
|
||
|
|
typedef void result_type;
|
||
|
|
template<class Prefix, class T>
|
||
|
|
void operator()(Prefix, const T& t) const
|
||
|
|
{
|
||
|
|
*prefixed = true;
|
||
|
|
*os << t / Prefix::value() << ' ';
|
||
|
|
switch(units::get_format(*os)) {
|
||
|
|
case name_fmt: do_print(*os, Prefix::name()); break;
|
||
|
|
case raw_fmt:
|
||
|
|
case symbol_fmt: do_print(*os, Prefix::symbol()); break;
|
||
|
|
case typename_fmt: do_print(*os, units::simplify_typename(Prefix())); *os << ' '; break;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
template<long N, class T>
|
||
|
|
void operator()(scale<N, static_rational<0> >, const T& t) const
|
||
|
|
{
|
||
|
|
*prefixed = false;
|
||
|
|
*os << t << ' ';
|
||
|
|
}
|
||
|
|
Os* os;
|
||
|
|
bool* prefixed;
|
||
|
|
};
|
||
|
|
|
||
|
|
template<class Os>
|
||
|
|
print_scale_t<Os> print_scale(Os& os, bool& prefixed)
|
||
|
|
{
|
||
|
|
print_scale_t<Os> result = { &os, &prefixed };
|
||
|
|
return result;
|
||
|
|
}
|
||
|
|
|
||
|
|
// puts parentheses around a unit
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
template<class Dimension,class Units,class Scale, class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
maybe_parenthesize(const unit<Dimension, heterogeneous_system<heterogeneous_system_impl<Units, Dimension, Scale> > >&, Subformatter f)
|
||
|
|
{
|
||
|
|
std::string str;
|
||
|
|
|
||
|
|
std::string without_scale = f(unit<Dimension, heterogeneous_system<heterogeneous_system_impl<Units, Dimension, dimensionless_type> > >());
|
||
|
|
|
||
|
|
if (f.is_default_string(without_scale, unit<Dimension, heterogeneous_system<heterogeneous_system_impl<Units, Dimension, dimensionless_type> > >()))
|
||
|
|
{
|
||
|
|
str += "(";
|
||
|
|
str += without_scale;
|
||
|
|
str += ")";
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
str += without_scale;
|
||
|
|
}
|
||
|
|
|
||
|
|
return(str);
|
||
|
|
}
|
||
|
|
|
||
|
|
// This overload catches scaled units that have a single base unit
|
||
|
|
// raised to the first power. It causes si::nano * si::meters to not
|
||
|
|
// put parentheses around the meters. i.e. nm rather than n(m)
|
||
|
|
/// INTERNAL ONLY
|
||
|
|
template<class Dimension,class Unit,class Scale, class Subformatter>
|
||
|
|
inline std::string
|
||
|
|
maybe_parenthesize(const unit<Dimension, heterogeneous_system<heterogeneous_system_impl<list<heterogeneous_system_dim<Unit, static_rational<1> >,dimensionless_type>, Dimension, Scale> > >&, Subformatter f)
|
||
|
|
{
|
||
|
|
return f(unit<Dimension, heterogeneous_system<heterogeneous_system_impl<list<heterogeneous_system_dim<Unit, static_rational<1> >, dimensionless_type>, Dimension, dimensionless_type> > >());
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Prefixes, class CharT, class Traits, class Unit, class T, class F>
|
||
|
|
void do_print_prefixed_impl(std::basic_ostream<CharT, Traits>& os, const quantity<Unit, T>& q, F default_)
|
||
|
|
{
|
||
|
|
bool prefixed;
|
||
|
|
if(detail::find_matching_scale<Prefixes>(q.value(), autoprefix_norm(q.value()), detail::print_scale(os, prefixed))) {
|
||
|
|
if(prefixed) {
|
||
|
|
switch(units::get_format(os)) {
|
||
|
|
case symbol_fmt: do_print(os, maybe_parenthesize(Unit(), format_symbol_impl())); break;
|
||
|
|
case raw_fmt: do_print(os, maybe_parenthesize(Unit(), format_raw_symbol_impl())); break;
|
||
|
|
case name_fmt: do_print(os, maybe_parenthesize(Unit(), format_name_impl())); break;
|
||
|
|
case typename_fmt: do_print(os, simplify_typename(Unit())); break;
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
os << Unit();
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
default_();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Handle units like si::kilograms that have a scale embedded in the
|
||
|
|
// base unit. This overload is disabled if the scaled base unit has
|
||
|
|
// a user-defined string representation.
|
||
|
|
template<class Prefixes, class CharT, class Traits, class Dimension, class BaseUnit, class BaseScale, class Scale, class T>
|
||
|
|
typename base_unit_info<
|
||
|
|
scaled_base_unit<BaseUnit, Scale>
|
||
|
|
>::base_unit_info_primary_template
|
||
|
|
do_print_prefixed(
|
||
|
|
std::basic_ostream<CharT, Traits>& os,
|
||
|
|
const quantity<
|
||
|
|
unit<
|
||
|
|
Dimension,
|
||
|
|
heterogeneous_system<
|
||
|
|
heterogeneous_system_impl<
|
||
|
|
list<
|
||
|
|
heterogeneous_system_dim<
|
||
|
|
scaled_base_unit<BaseUnit, BaseScale>,
|
||
|
|
static_rational<1>
|
||
|
|
>,
|
||
|
|
dimensionless_type
|
||
|
|
>,
|
||
|
|
Dimension,
|
||
|
|
Scale
|
||
|
|
>
|
||
|
|
>
|
||
|
|
>,
|
||
|
|
T
|
||
|
|
>& q)
|
||
|
|
{
|
||
|
|
quantity<
|
||
|
|
unit<
|
||
|
|
Dimension,
|
||
|
|
heterogeneous_system<
|
||
|
|
heterogeneous_system_impl<
|
||
|
|
list<
|
||
|
|
heterogeneous_system_dim<BaseUnit, static_rational<1> >,
|
||
|
|
dimensionless_type
|
||
|
|
>,
|
||
|
|
Dimension,
|
||
|
|
dimensionless_type
|
||
|
|
>
|
||
|
|
>
|
||
|
|
>,
|
||
|
|
T
|
||
|
|
> unscaled(q);
|
||
|
|
detail::do_print_prefixed_impl<Prefixes>(os, unscaled, detail::print_default(os, q));
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Prefixes, class CharT, class Traits, class Dimension, class L, class Scale, class T>
|
||
|
|
void do_print_prefixed(
|
||
|
|
std::basic_ostream<CharT, Traits>& os,
|
||
|
|
const quantity<
|
||
|
|
unit<
|
||
|
|
Dimension,
|
||
|
|
heterogeneous_system<
|
||
|
|
heterogeneous_system_impl<
|
||
|
|
L,
|
||
|
|
Dimension,
|
||
|
|
Scale
|
||
|
|
>
|
||
|
|
>
|
||
|
|
>,
|
||
|
|
T
|
||
|
|
>& q)
|
||
|
|
{
|
||
|
|
quantity<
|
||
|
|
unit<
|
||
|
|
Dimension,
|
||
|
|
heterogeneous_system<
|
||
|
|
heterogeneous_system_impl<
|
||
|
|
L,
|
||
|
|
Dimension,
|
||
|
|
dimensionless_type
|
||
|
|
>
|
||
|
|
>
|
||
|
|
>,
|
||
|
|
T
|
||
|
|
> unscaled(q);
|
||
|
|
detail::do_print_prefixed_impl<Prefixes>(os, unscaled, detail::print_default(os, q));
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Prefixes, class CharT, class Traits, class Dimension, class System, class T>
|
||
|
|
void do_print_prefixed(std::basic_ostream<CharT, Traits>& os, const quantity<unit<Dimension, System>, T>& q)
|
||
|
|
{
|
||
|
|
detail::do_print_prefixed<Prefixes>(os, quantity<unit<Dimension, typename make_heterogeneous_system<Dimension, System>::type>, T>(q));
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Prefixes, class CharT, class Traits, class Unit, class T>
|
||
|
|
void do_print_prefixed(std::basic_ostream<CharT, Traits>& os, const quantity<Unit, T>& q)
|
||
|
|
{
|
||
|
|
detail::print_default(os, q)();
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Prefixes, class CharT, class Traits, class Unit, class T>
|
||
|
|
void maybe_print_prefixed(std::basic_ostream<CharT, Traits>& os, const quantity<Unit, T>& q, mpl::true_)
|
||
|
|
{
|
||
|
|
detail::do_print_prefixed<Prefixes>(os, q);
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Prefixes, class CharT, class Traits, class Unit, class T>
|
||
|
|
void maybe_print_prefixed(std::basic_ostream<CharT, Traits>& os, const quantity<Unit, T>& q, mpl::false_)
|
||
|
|
{
|
||
|
|
detail::print_default(os, q)();
|
||
|
|
}
|
||
|
|
|
||
|
|
inline mpl::true_ test_norm(double) { return mpl::true_(); }
|
||
|
|
inline mpl::false_ test_norm(one) { return mpl::false_(); }
|
||
|
|
|
||
|
|
} // namespace detail
|
||
|
|
|
||
|
|
template<class Dimension,class System>
|
||
|
|
inline std::string
|
||
|
|
typename_string(const unit<Dimension, System>&)
|
||
|
|
{
|
||
|
|
return simplify_typename(typename reduce_unit< unit<Dimension,System> >::type());
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Dimension,class System>
|
||
|
|
inline std::string
|
||
|
|
symbol_string(const unit<Dimension, System>&)
|
||
|
|
{
|
||
|
|
return detail::to_string_impl(unit<Dimension,System>(), detail::format_symbol_impl());
|
||
|
|
}
|
||
|
|
|
||
|
|
template<class Dimension,class System>
|
||
|
|
inline std::string
|
||
|
|
name_string(const unit<Dimension, System>&)
|
||
|
|
{
|
||
|
|
return detail::to_string_impl(unit<Dimension,System>(), detail::format_name_impl());
|
||
|
|
}
|
||
|
|
|
||
|
|
/// Print a @c unit as a list of base units and their exponents.
|
||
|
|
///
|
||
|
|
/// for @c symbol_format outputs e.g. "m s^-1" or "J".
|
||
|
|
/// for @c name_format outputs e.g. "meter second^-1" or "joule".
|
||
|
|
/// for @c raw_format outputs e.g. "m s^-1" or "meter kilogram^2 second^-2".
|
||
|
|
/// for @c typename_format outputs the typename itself (currently demangled only on GCC).
|
||
|
|
template<class Char, class Traits, class Dimension, class System>
|
||
|
|
inline std::basic_ostream<Char, Traits>& operator<<(std::basic_ostream<Char, Traits>& os, const unit<Dimension, System>& u)
|
||
|
|
{
|
||
|
|
if (units::get_format(os) == typename_fmt)
|
||
|
|
{
|
||
|
|
detail::do_print(os, typename_string(u));
|
||
|
|
}
|
||
|
|
else if (units::get_format(os) == raw_fmt)
|
||
|
|
{
|
||
|
|
detail::do_print(os, detail::to_string_impl(u, detail::format_raw_symbol_impl()));
|
||
|
|
}
|
||
|
|
else if (units::get_format(os) == symbol_fmt)
|
||
|
|
{
|
||
|
|
detail::do_print(os, symbol_string(u));
|
||
|
|
}
|
||
|
|
else if (units::get_format(os) == name_fmt)
|
||
|
|
{
|
||
|
|
detail::do_print(os, name_string(u));
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
BOOST_ASSERT_MSG(false, "The format mode must be one of: typename_format, raw_format, name_format, symbol_format");
|
||
|
|
}
|
||
|
|
|
||
|
|
return(os);
|
||
|
|
}
|
||
|
|
|
||
|
|
/// \brief Print a @c quantity.
|
||
|
|
/// \details Prints the value followed by the unit.
|
||
|
|
/// If the engineering_prefix, or binary_prefix is set,
|
||
|
|
/// tries to scale the value appropriately.
|
||
|
|
/// For example, it might print 12.345 km instead of 12345 m.
|
||
|
|
/// (Note does @b not attempt to automatically scale scalars like double, float...)
|
||
|
|
template<class Char, class Traits, class Unit, class T>
|
||
|
|
inline std::basic_ostream<Char, Traits>& operator<<(std::basic_ostream<Char, Traits>& os, const quantity<Unit, T>& q)
|
||
|
|
{
|
||
|
|
if (units::get_autoprefix(os) == autoprefix_none)
|
||
|
|
{
|
||
|
|
os << q.value() << ' ' << Unit();
|
||
|
|
}
|
||
|
|
else if (units::get_autoprefix(os) == autoprefix_engineering)
|
||
|
|
{
|
||
|
|
detail::maybe_print_prefixed<detail::engineering_prefixes>(os, q, detail::test_norm(autoprefix_norm(q.value())));
|
||
|
|
}
|
||
|
|
else if (units::get_autoprefix(os) == autoprefix_binary)
|
||
|
|
{
|
||
|
|
detail::maybe_print_prefixed<detail::binary_prefixes>(os, q, detail::test_norm(autoprefix_norm(q.value())));
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
BOOST_ASSERT_MSG(false, "Autoprefixing must be one of: no_prefix, engineering_prefix, binary_prefix");
|
||
|
|
}
|
||
|
|
return(os);
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace units
|
||
|
|
|
||
|
|
} // namespace boost
|
||
|
|
|
||
|
|
#endif
|