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+// Boost.Units - A C++ library for zero-overhead dimensional analysis and
+// unit/quantity manipulation and conversion
+//
+// Copyright (C) 2003-2008 Matthias Christian Schabel
+// Copyright (C) 2007-2010 Steven Watanabe
+//
+// Distributed under the Boost Software License, Version 1.0. (See
+// accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_UNITS_IO_HPP
+#define BOOST_UNITS_IO_HPP
+
+/// \file
+/// \brief Stream input and output for rationals, units and quantities.
+/// \details Functions and manipulators for output and input of units and quantities.
+/// symbol and name format, and engineering and binary autoprefix.
+/// Serialization output is also supported.
+
+#include <cassert>
+#include <cmath>
+#include <string>
+#include <iosfwd>
+#include <ios>
+#include <sstream>
+
+#include <boost/serialization/nvp.hpp>
+
+#include <boost/units/units_fwd.hpp>
+#include <boost/units/heterogeneous_system.hpp>
+#include <boost/units/make_scaled_unit.hpp>
+#include <boost/units/quantity.hpp>
+#include <boost/units/scale.hpp>
+#include <boost/units/static_rational.hpp>
+#include <boost/units/unit.hpp>
+#include <boost/units/detail/utility.hpp>
+
+namespace boost {
+
+namespace serialization {
+
+/// Boost Serialization library support for units.
+template<class Archive,class System,class Dim>
+inline void serialize(Archive& ar,boost::units::unit<Dim,System>&,const unsigned int /*version*/)
+{ }
+
+/// Boost Serialization library support for quantities.
+template<class Archive,class Unit,class Y>
+inline void serialize(Archive& ar,boost::units::quantity<Unit,Y>& q,const unsigned int /*version*/)
+{
+ ar & boost::serialization::make_nvp("value", units::quantity_cast<Y&>(q));
+}
+
+} // namespace serialization
+
+namespace units {
+
+// get string representation of arbitrary type.
+template<class T> std::string to_string(const T& t)
+{
+ std::stringstream sstr;
+
+ sstr << t;
+
+ return sstr.str();
+}
+
+/// get string representation of integral-valued @c static_rational.
+template<integer_type N> std::string to_string(const static_rational<N>&)
+{
+ return to_string(N);
+}
+
+/// get string representation of @c static_rational.
+template<integer_type N, integer_type D> std::string to_string(const static_rational<N,D>&)
+{
+ return '(' + to_string(N) + '/' + to_string(D) + ')';
+}
+
+/// Write @c static_rational to @c std::basic_ostream.
+template<class Char, class Traits, integer_type N, integer_type D>
+inline std::basic_ostream<Char, Traits>& operator<<(std::basic_ostream<Char, Traits>& os,const static_rational<N,D>& r)
+{
+ os << to_string(r);
+ return os;
+}
+
+/// traits template for unit names.
+template<class BaseUnit>
+struct base_unit_info
+{
+ /// INTERNAL ONLY
+ typedef void base_unit_info_primary_template;
+ /// The full name of the unit (returns BaseUnit::name() by default)
+ static std::string name()
+ {
+ return(BaseUnit::name());
+ }
+ /// The symbol for the base unit (Returns BaseUnit::symbol() by default)
+ static std::string symbol()
+ {
+ return(BaseUnit::symbol()); /// \returns BaseUnit::symbol(), for example "m"
+ }
+};
+
+/// \enum format_mode format of output of units, for example "m" or "meter".
+enum format_mode
+{
+ symbol_fmt = 0, /// default - reduces unit names to known symbols for both base and derived units.
+ name_fmt = 1, /// output full unit names for base and derived units, for example "meter".
+ raw_fmt = 2, /// output only symbols for base units (but not derived units), for example "m".
+ typename_fmt = 3, /// output demangled typenames (useful only for diagnosis).
+ fmt_mask = 3 /// Bits used for format.
+};
+
+/// \enum autoprefix_mode automatic scaling and prefix (controlled by value of quantity) a, if any,
+enum autoprefix_mode
+{
+ autoprefix_none = 0, /// No automatic prefix.
+ autoprefix_engineering = 4, /// Scale and prefix with 10^3 multiples, 1234.5 m output as 1.2345 km.
+ autoprefix_binary = 8, /// Scale and prefix with 2^10 (1024) multiples, 1024 as 1 kb.
+ autoprefix_mask = 12 /// Bits used for autoprefix.
+};
+
+namespace detail {
+
+template<bool>
+struct xalloc_key_holder
+{
+ static int value;
+ static bool initialized;
+};
+
+template<bool b>
+int xalloc_key_holder<b>::value = 0;
+
+template<bool b>
+bool xalloc_key_holder<b>::initialized = 0;
+
+struct xalloc_key_initializer_t
+{
+ xalloc_key_initializer_t()
+ {
+ if (!xalloc_key_holder<true>::initialized)
+ {
+ xalloc_key_holder<true>::value = std::ios_base::xalloc();
+ xalloc_key_holder<true>::initialized = true;
+ }
+ }
+};
+
+namespace /**/ {
+
+xalloc_key_initializer_t xalloc_key_initializer;
+
+} // namespace
+
+} // namespace detail
+
+/// returns flags controlling output.
+inline long get_flags(std::ios_base& ios, long mask)
+{
+ return(ios.iword(detail::xalloc_key_holder<true>::value) & mask);
+}
+
+/// Set new flags controlling output format.
+inline void set_flags(std::ios_base& ios, long new_flags, long mask)
+{
+ assert((~mask & new_flags) == 0);
+ long& flags = ios.iword(detail::xalloc_key_holder<true>::value);
+ flags = (flags & ~mask) | new_flags;
+}
+
+/// returns flags controlling output format.
+inline format_mode get_format(std::ios_base& ios)
+{
+ return(static_cast<format_mode>((get_flags)(ios, fmt_mask)));
+}
+
+/// Set new flags controlling output format.
+inline void set_format(std::ios_base& ios, format_mode new_mode)
+{
+ (set_flags)(ios, new_mode, fmt_mask);
+}
+
+/// Set new flags for type_name output format.
+inline std::ios_base& typename_format(std::ios_base& ios)
+{
+ (set_format)(ios, typename_fmt);
+ return(ios);
+}
+
+/// set new flag for raw format output, for example "m".
+inline std::ios_base& raw_format(std::ios_base& ios)
+{
+ (set_format)(ios, raw_fmt);
+ return(ios);
+}
+
+/// set new format flag for symbol output, for example "m".
+inline std::ios_base& symbol_format(std::ios_base& ios)
+{
+ (set_format)(ios, symbol_fmt);
+ return(ios);
+}
+
+/// set new format for name output, for example "meter".
+inline std::ios_base& name_format(std::ios_base& ios)
+{
+ (set_format)(ios, name_fmt);
+ return(ios);
+}
+
+/// get autoprefix flags for output.
+inline autoprefix_mode get_autoprefix(std::ios_base& ios)
+{
+ return static_cast<autoprefix_mode>((get_flags)(ios, autoprefix_mask));
+}
+
+/// Get format for output.
+inline void set_autoprefix(std::ios_base& ios, autoprefix_mode new_mode)
+{
+ (set_flags)(ios, new_mode, autoprefix_mask);
+}
+
+/// Clear autoprefix flags.
+inline std::ios_base& no_prefix(std::ios_base& ios)
+{
+ (set_autoprefix)(ios, autoprefix_none);
+ return ios;
+}
+
+/// Set flag for engineering prefix, so 1234.5 m displays as "1.2345 km".
+inline std::ios_base& engineering_prefix(std::ios_base& ios)
+{
+ (set_autoprefix)(ios, autoprefix_engineering);
+ return ios;
+}
+
+/// Set flag for binary prefix, so 1024 byte displays as "1 Kib".
+inline std::ios_base& binary_prefix(std::ios_base& ios)
+{
+ (set_autoprefix)(ios, autoprefix_binary);
+ return ios;
+}
+
+namespace detail {
+
+/// \return exponent string like "^1/2".
+template<integer_type N, integer_type D>
+inline std::string exponent_string(const static_rational<N,D>& r)
+{
+ return '^' + to_string(r);
+}
+
+/// \return empty exponent string for integer rational like 2.
+template<>
+inline std::string exponent_string(const static_rational<1>&)
+{
+ return "";
+}
+
+template<class T>
+inline std::string base_unit_symbol_string(const T&)
+{
+ return base_unit_info<typename T::tag_type>::symbol() + exponent_string(typename T::value_type());
+}
+
+template<class T>
+inline std::string base_unit_name_string(const T&)
+{
+ return base_unit_info<typename T::tag_type>::name() + exponent_string(typename T::value_type());
+}
+
+// stringify with symbols.
+template<int N>
+struct symbol_string_impl
+{
+ template<class Begin>
+ struct apply
+ {
+ typedef typename symbol_string_impl<N-1>::template apply<typename Begin::next> next;
+ static void value(std::string& str)
+ {
+ str += base_unit_symbol_string(typename Begin::item()) + ' ';
+ next::value(str);
+ }
+ };
+};
+
+template<>
+struct symbol_string_impl<1>
+{
+ template<class Begin>
+ struct apply
+ {
+ static void value(std::string& str)
+ {
+ str += base_unit_symbol_string(typename Begin::item());
+ };
+ };
+};
+
+template<>
+struct symbol_string_impl<0>
+{
+ template<class Begin>
+ struct apply
+ {
+ static void value(std::string& str)
+ {
+ // better shorthand for dimensionless?
+ str += "dimensionless";
+ }
+ };
+};
+
+template<int N>
+struct scale_symbol_string_impl
+{
+ template<class Begin>
+ struct apply
+ {
+ static void value(std::string& str)
+ {
+ str += Begin::item::symbol();
+ scale_symbol_string_impl<N - 1>::template apply<typename Begin::next>::value(str);
+ }
+ };
+};
+
+template<>
+struct scale_symbol_string_impl<0>
+{
+ template<class Begin>
+ struct apply
+ {
+ static void value(std::string&) { }
+ };
+};
+
+// stringify with names.
+template<int N>
+struct name_string_impl
+{
+ template<class Begin>
+ struct apply
+ {
+ typedef typename name_string_impl<N-1>::template apply<typename Begin::next> next;
+ static void value(std::string& str)
+ {
+ str += base_unit_name_string(typename Begin::item()) + ' ';
+ next::value(str);
+ }
+ };
+};
+
+template<>
+struct name_string_impl<1>
+{
+ template<class Begin>
+ struct apply
+ {
+ static void value(std::string& str)
+ {
+ str += base_unit_name_string(typename Begin::item());
+ };
+ };
+};
+
+template<>
+struct name_string_impl<0>
+{
+ template<class Begin>
+ struct apply
+ {
+ static void value(std::string& str)
+ {
+ str += "dimensionless";
+ }
+ };
+};
+
+template<int N>
+struct scale_name_string_impl
+{
+ template<class Begin>
+ struct apply
+ {
+ static void value(std::string& str)
+ {
+ str += Begin::item::name();
+ scale_name_string_impl<N - 1>::template apply<typename Begin::next>::value(str);
+ }
+ };
+};
+
+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> >,
+ 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
+ {
+ assert(!"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
+ {
+ assert(!"Autoprefixing must be one of: no_prefix, engineering_prefix, binary_prefix");
+ }
+ return(os);
+}
+
+} // namespace units
+
+} // namespace boost
+
+#endif