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676 lines
19 KiB
676 lines
19 KiB
// 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) 2007-2008 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_CMATH_HPP |
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#define BOOST_UNITS_CMATH_HPP |
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#include <boost/config/no_tr1/cmath.hpp> |
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#include <cstdlib> |
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#include <boost/math/special_functions/fpclassify.hpp> |
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#include <boost/math/special_functions/hypot.hpp> |
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#include <boost/math/special_functions/next.hpp> |
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#include <boost/math/special_functions/round.hpp> |
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#include <boost/math/special_functions/sign.hpp> |
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#include <boost/units/dimensionless_quantity.hpp> |
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#include <boost/units/pow.hpp> |
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#include <boost/units/quantity.hpp> |
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#include <boost/units/detail/cmath_impl.hpp> |
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#include <boost/units/detail/dimensionless_unit.hpp> |
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#include <boost/units/systems/si/plane_angle.hpp> |
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/// \file |
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/// \brief Overloads of functions in \<cmath\> for quantities. |
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/// \details Only functions for which a dimensionally-correct result type |
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/// can be determined are overloaded. |
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/// All functions work with dimensionless quantities. |
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// BOOST_PREVENT_MACRO_SUBSTITUTION is needed on certain compilers that define |
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// some <cmath> functions as macros; it is used for all functions even though it |
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// isn't necessary -- I didn't want to think :) |
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// |
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// the form using namespace detail; return(f(x)); is used |
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// to enable ADL for UDTs. |
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namespace boost { |
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namespace units { |
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template<class Unit,class Y> |
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inline |
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bool |
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isfinite BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using boost::math::isfinite; |
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return isfinite BOOST_PREVENT_MACRO_SUBSTITUTION (q.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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bool |
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isinf BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using boost::math::isinf; |
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return isinf BOOST_PREVENT_MACRO_SUBSTITUTION (q.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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bool |
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isnan BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using boost::math::isnan; |
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return isnan BOOST_PREVENT_MACRO_SUBSTITUTION (q.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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bool |
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isnormal BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using boost::math::isnormal; |
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return isnormal BOOST_PREVENT_MACRO_SUBSTITUTION (q.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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bool |
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isgreater BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using namespace detail; |
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return isgreater BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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bool |
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isgreaterequal BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using namespace detail; |
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return isgreaterequal BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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bool |
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isless BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using namespace detail; |
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return isless BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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bool |
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islessequal BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using namespace detail; |
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return islessequal BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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bool |
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islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using namespace detail; |
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return islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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bool |
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isunordered BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using namespace detail; |
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return isunordered BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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abs BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using std::abs; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(abs BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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ceil BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using std::ceil; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(ceil BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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copysign BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using boost::math::copysign; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(copysign BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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fabs BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using std::fabs; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(fabs BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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floor BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using std::floor; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(floor BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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fdim BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using namespace detail; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(fdim BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value())); |
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} |
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#if 0 |
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template<class Unit1,class Unit2,class Unit3,class Y> |
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inline |
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typename add_typeof_helper< |
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typename multiply_typeof_helper<quantity<Unit1,Y>, |
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quantity<Unit2,Y> >::type, |
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quantity<Unit3,Y> >::type |
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fma BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit1,Y>& q1, |
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const quantity<Unit2,Y>& q2, |
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const quantity<Unit3,Y>& q3) |
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{ |
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using namespace detail; |
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typedef quantity<Unit1,Y> type1; |
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typedef quantity<Unit2,Y> type2; |
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typedef quantity<Unit3,Y> type3; |
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typedef typename multiply_typeof_helper<type1,type2>::type prod_type; |
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typedef typename add_typeof_helper<prod_type,type3>::type quantity_type; |
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return quantity_type::from_value(fma BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value(),q3.value())); |
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} |
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#endif |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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fmax BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using namespace detail; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(fmax BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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fmin BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using namespace detail; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(fmin BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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int |
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fpclassify BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using boost::math::fpclassify; |
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return fpclassify BOOST_PREVENT_MACRO_SUBSTITUTION (q.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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typename root_typeof_helper< |
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typename add_typeof_helper< |
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typename power_typeof_helper<quantity<Unit,Y>, |
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static_rational<2> >::type, |
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typename power_typeof_helper<quantity<Unit,Y>, |
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static_rational<2> >::type>::type, |
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static_rational<2> >::type |
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hypot BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1,const quantity<Unit,Y>& q2) |
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{ |
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using boost::math::hypot; |
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typedef quantity<Unit,Y> type1; |
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typedef typename power_typeof_helper<type1,static_rational<2> >::type pow_type; |
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typedef typename add_typeof_helper<pow_type,pow_type>::type add_type; |
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typedef typename root_typeof_helper<add_type,static_rational<2> >::type quantity_type; |
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return quantity_type::from_value(hypot BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value())); |
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} |
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// does ISO C++ support long long? g++ claims not |
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//template<class Unit,class Y> |
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//inline |
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//quantity<Unit,long long> |
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//llrint BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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//{ |
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// using namespace detail; |
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// |
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// typedef quantity<Unit,long long> quantity_type; |
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// |
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// return quantity_type::from_value(llrint BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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//} |
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// does ISO C++ support long long? g++ claims not |
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//template<class Unit,class Y> |
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//inline |
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//quantity<Unit,long long> |
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//llround BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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//{ |
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// using namespace detail; |
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// |
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// typedef quantity<Unit,long long> quantity_type; |
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// |
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// return quantity_type::from_value(llround BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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//} |
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#if 0 |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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nearbyint BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using namespace detail; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(nearbyint BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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} |
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#endif |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> nextafter BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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using boost::math::nextafter; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(nextafter BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q1, |
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const quantity<Unit,Y>& q2) |
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{ |
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// the only difference between nextafter and nexttowards is |
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// in the argument types. Since we are requiring identical |
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// argument types, there is no difference. |
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using boost::math::nextafter; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(nextafter BOOST_PREVENT_MACRO_SUBSTITUTION (q1.value(),q2.value())); |
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} |
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#if 0 |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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rint BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using namespace detail; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(rint BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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} |
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#endif |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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round BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using boost::math::round; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(round BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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int |
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signbit BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using boost::math::signbit; |
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return signbit BOOST_PREVENT_MACRO_SUBSTITUTION (q.value()); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit,Y> |
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trunc BOOST_PREVENT_MACRO_SUBSTITUTION (const quantity<Unit,Y>& q) |
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{ |
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using namespace detail; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(trunc BOOST_PREVENT_MACRO_SUBSTITUTION (q.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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quantity<Unit, Y> |
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fmod(const quantity<Unit,Y>& q1, const quantity<Unit,Y>& q2) |
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{ |
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using std::fmod; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(fmod(q1.value(), q2.value())); |
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} |
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template<class Unit, class Y> |
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inline |
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quantity<Unit, Y> |
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modf(const quantity<Unit, Y>& q1, quantity<Unit, Y>* q2) |
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{ |
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using std::modf; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(modf(q1.value(), &quantity_cast<Y&>(*q2))); |
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} |
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template<class Unit, class Y, class Int> |
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inline |
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quantity<Unit, Y> |
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frexp(const quantity<Unit, Y>& q,Int* ex) |
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{ |
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using std::frexp; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(frexp(q.value(),ex)); |
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} |
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/// For non-dimensionless quantities, integral and rational powers |
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/// and roots can be computed by @c pow<Ex> and @c root<Rt> respectively. |
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template<class S, class Y> |
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inline |
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quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y> |
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pow(const quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y>& q1, |
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const quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y>& q2) |
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{ |
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using std::pow; |
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typedef quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S),Y> quantity_type; |
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return quantity_type::from_value(pow(q1.value(), q2.value())); |
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} |
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template<class S, class Y> |
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inline |
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quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y> |
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exp(const quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y>& q) |
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{ |
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using std::exp; |
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typedef quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y> quantity_type; |
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return quantity_type::from_value(exp(q.value())); |
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} |
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template<class Unit, class Y, class Int> |
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inline |
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quantity<Unit, Y> |
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ldexp(const quantity<Unit, Y>& q,const Int& ex) |
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{ |
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using std::ldexp; |
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typedef quantity<Unit,Y> quantity_type; |
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return quantity_type::from_value(ldexp(q.value(), ex)); |
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} |
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template<class S, class Y> |
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inline |
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quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y> |
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log(const quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y>& q) |
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{ |
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using std::log; |
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typedef quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y> quantity_type; |
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return quantity_type::from_value(log(q.value())); |
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} |
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template<class S, class Y> |
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inline |
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quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y> |
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log10(const quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y>& q) |
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{ |
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using std::log10; |
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typedef quantity<BOOST_UNITS_DIMENSIONLESS_UNIT(S), Y> quantity_type; |
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return quantity_type::from_value(log10(q.value())); |
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} |
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template<class Unit,class Y> |
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inline |
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typename root_typeof_helper< |
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quantity<Unit,Y>, |
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static_rational<2> |
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>::type |
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sqrt(const quantity<Unit,Y>& q) |
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{ |
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using std::sqrt; |
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typedef typename root_typeof_helper< |
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quantity<Unit,Y>, |
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static_rational<2> |
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>::type quantity_type; |
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return quantity_type::from_value(sqrt(q.value())); |
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} |
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} // namespace units |
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} // namespace boost |
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namespace boost { |
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namespace units { |
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// trig functions with si argument/return types |
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/// cos of theta in radians |
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template<class Y> |
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typename dimensionless_quantity<si::system,Y>::type |
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cos(const quantity<si::plane_angle,Y>& theta) |
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{ |
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using std::cos; |
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return cos(theta.value()); |
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} |
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/// sin of theta in radians |
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template<class Y> |
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typename dimensionless_quantity<si::system,Y>::type |
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sin(const quantity<si::plane_angle,Y>& theta) |
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{ |
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using std::sin; |
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return sin(theta.value()); |
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} |
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/// tan of theta in radians |
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template<class Y> |
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typename dimensionless_quantity<si::system,Y>::type |
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tan(const quantity<si::plane_angle,Y>& theta) |
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{ |
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using std::tan; |
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return tan(theta.value()); |
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} |
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/// cos of theta in other angular units |
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template<class System,class Y> |
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typename dimensionless_quantity<System,Y>::type |
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cos(const quantity<unit<plane_angle_dimension,System>,Y>& theta) |
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{ |
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return cos(quantity<si::plane_angle,Y>(theta)); |
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} |
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/// sin of theta in other angular units |
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template<class System,class Y> |
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typename dimensionless_quantity<System,Y>::type |
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sin(const quantity<unit<plane_angle_dimension,System>,Y>& theta) |
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{ |
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return sin(quantity<si::plane_angle,Y>(theta)); |
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} |
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/// tan of theta in other angular units |
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template<class System,class Y> |
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typename dimensionless_quantity<System,Y>::type |
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tan(const quantity<unit<plane_angle_dimension,System>,Y>& theta) |
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{ |
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return tan(quantity<si::plane_angle,Y>(theta)); |
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} |
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/// acos of dimensionless quantity returning angle in same system |
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template<class Y,class System> |
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quantity<unit<plane_angle_dimension, homogeneous_system<System> >,Y> |
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acos(const quantity<unit<dimensionless_type, homogeneous_system<System> >,Y>& val) |
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{ |
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using std::acos; |
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return quantity<unit<plane_angle_dimension, homogeneous_system<System> >,Y>(acos(val.value())*si::radians); |
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} |
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/// acos of dimensionless quantity returning angle in radians |
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template<class Y> |
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quantity<angle::radian_base_unit::unit_type,Y> |
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acos(const quantity<unit<dimensionless_type, heterogeneous_dimensionless_system>,Y>& val) |
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{ |
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using std::acos; |
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return quantity<angle::radian_base_unit::unit_type,Y>::from_value(acos(val.value())); |
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} |
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/// asin of dimensionless quantity returning angle in same system |
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template<class Y,class System> |
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quantity<unit<plane_angle_dimension, homogeneous_system<System> >,Y> |
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asin(const quantity<unit<dimensionless_type, homogeneous_system<System> >,Y>& val) |
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{ |
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using std::asin; |
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return quantity<unit<plane_angle_dimension, homogeneous_system<System> >,Y>(asin(val.value())*si::radians); |
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} |
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/// asin of dimensionless quantity returning angle in radians |
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template<class Y> |
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quantity<angle::radian_base_unit::unit_type,Y> |
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asin(const quantity<unit<dimensionless_type, heterogeneous_dimensionless_system>,Y>& val) |
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{ |
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using std::asin; |
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return quantity<angle::radian_base_unit::unit_type,Y>::from_value(asin(val.value())); |
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} |
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/// atan of dimensionless quantity returning angle in same system |
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template<class Y,class System> |
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quantity<unit<plane_angle_dimension, homogeneous_system<System> >,Y> |
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atan(const quantity<unit<dimensionless_type, homogeneous_system<System> >, Y>& val) |
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{ |
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using std::atan; |
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return quantity<unit<plane_angle_dimension, homogeneous_system<System> >,Y>(atan(val.value())*si::radians); |
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} |
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|
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/// atan of dimensionless quantity returning angle in radians |
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template<class Y> |
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quantity<angle::radian_base_unit::unit_type,Y> |
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atan(const quantity<unit<dimensionless_type, heterogeneous_dimensionless_system>, Y>& val) |
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{ |
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using std::atan; |
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return quantity<angle::radian_base_unit::unit_type,Y>::from_value(atan(val.value())); |
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} |
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/// atan2 of @c value_type returning angle in radians |
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template<class Y, class Dimension, class System> |
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quantity<unit<plane_angle_dimension, homogeneous_system<System> >, Y> |
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atan2(const quantity<unit<Dimension, homogeneous_system<System> >, Y>& y, |
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const quantity<unit<Dimension, homogeneous_system<System> >, Y>& x) |
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{ |
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using std::atan2; |
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return quantity<unit<plane_angle_dimension, homogeneous_system<System> >, Y>(atan2(y.value(),x.value())*si::radians); |
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} |
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|
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/// atan2 of @c value_type returning angle in radians |
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template<class Y, class Dimension, class System> |
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quantity<angle::radian_base_unit::unit_type,Y> |
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atan2(const quantity<unit<Dimension, heterogeneous_system<System> >, Y>& y, |
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const quantity<unit<Dimension, heterogeneous_system<System> >, Y>& x) |
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{ |
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using std::atan2; |
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return quantity<angle::radian_base_unit::unit_type,Y>::from_value(atan2(y.value(),x.value())); |
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} |
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} // namespace units |
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} // namespace boost |
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#endif // BOOST_UNITS_CMATH_HPP
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