| /* Boost interval/rounded_arith.hpp template implementation file |
| * |
| * Copyright 2002-2003 Hervé Brönnimann, Guillaume Melquiond, Sylvain Pion |
| * |
| * 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_NUMERIC_INTERVAL_ROUNDED_ARITH_HPP |
| #define BOOST_NUMERIC_INTERVAL_ROUNDED_ARITH_HPP |
| |
| #include <boost/numeric/interval/rounding.hpp> |
| #include <boost/numeric/interval/detail/bugs.hpp> |
| #include <boost/config/no_tr1/cmath.hpp> |
| |
| namespace boost { |
| namespace numeric { |
| namespace interval_lib { |
| |
| /* |
| * Three classes of rounding: exact, std, opp |
| * See documentation for details. |
| */ |
| |
| template<class T, class Rounding> |
| struct rounded_arith_exact: Rounding { |
| void init() { } |
| template<class U> T conv_down(U const &v) { return v; } |
| template<class U> T conv_up (U const &v) { return v; } |
| T add_down (const T& x, const T& y) { return x + y; } |
| T add_up (const T& x, const T& y) { return x + y; } |
| T sub_down (const T& x, const T& y) { return x - y; } |
| T sub_up (const T& x, const T& y) { return x - y; } |
| T mul_down (const T& x, const T& y) { return x * y; } |
| T mul_up (const T& x, const T& y) { return x * y; } |
| T div_down (const T& x, const T& y) { return x / y; } |
| T div_up (const T& x, const T& y) { return x / y; } |
| T median (const T& x, const T& y) { return (x + y) / 2; } |
| T sqrt_down(const T& x) |
| { BOOST_NUMERIC_INTERVAL_using_math(sqrt); return sqrt(x); } |
| T sqrt_up (const T& x) |
| { BOOST_NUMERIC_INTERVAL_using_math(sqrt); return sqrt(x); } |
| T int_down (const T& x) |
| { BOOST_NUMERIC_INTERVAL_using_math(floor); return floor(x); } |
| T int_up (const T& x) |
| { BOOST_NUMERIC_INTERVAL_using_math(ceil); return ceil(x); } |
| }; |
| |
| template<class T, class Rounding> |
| struct rounded_arith_std: Rounding { |
| # define BOOST_DN(EXPR) this->downward(); return this->force_rounding(EXPR) |
| # define BOOST_NR(EXPR) this->to_nearest(); return this->force_rounding(EXPR) |
| # define BOOST_UP(EXPR) this->upward(); return this->force_rounding(EXPR) |
| void init() { } |
| template<class U> T conv_down(U const &v) { BOOST_DN(v); } |
| template<class U> T conv_up (U const &v) { BOOST_UP(v); } |
| T add_down(const T& x, const T& y) { BOOST_DN(x + y); } |
| T sub_down(const T& x, const T& y) { BOOST_DN(x - y); } |
| T mul_down(const T& x, const T& y) { BOOST_DN(x * y); } |
| T div_down(const T& x, const T& y) { BOOST_DN(x / y); } |
| T add_up (const T& x, const T& y) { BOOST_UP(x + y); } |
| T sub_up (const T& x, const T& y) { BOOST_UP(x - y); } |
| T mul_up (const T& x, const T& y) { BOOST_UP(x * y); } |
| T div_up (const T& x, const T& y) { BOOST_UP(x / y); } |
| T median(const T& x, const T& y) { BOOST_NR((x + y) / 2); } |
| T sqrt_down(const T& x) |
| { BOOST_NUMERIC_INTERVAL_using_math(sqrt); BOOST_DN(sqrt(x)); } |
| T sqrt_up (const T& x) |
| { BOOST_NUMERIC_INTERVAL_using_math(sqrt); BOOST_UP(sqrt(x)); } |
| T int_down(const T& x) { this->downward(); return to_int(x); } |
| T int_up (const T& x) { this->upward(); return to_int(x); } |
| # undef BOOST_DN |
| # undef BOOST_NR |
| # undef BOOST_UP |
| }; |
| |
| template<class T, class Rounding> |
| struct rounded_arith_opp: Rounding { |
| void init() { this->upward(); } |
| # define BOOST_DN(EXPR) \ |
| this->downward(); \ |
| T r = this->force_rounding(EXPR); \ |
| this->upward(); \ |
| return r |
| # define BOOST_NR(EXPR) \ |
| this->to_nearest(); \ |
| T r = this->force_rounding(EXPR); \ |
| this->upward(); \ |
| return r |
| # define BOOST_UP(EXPR) return this->force_rounding(EXPR) |
| # define BOOST_UP_NEG(EXPR) return -this->force_rounding(EXPR) |
| template<class U> T conv_down(U const &v) { BOOST_UP_NEG(-v); } |
| template<class U> T conv_up (U const &v) { BOOST_UP(v); } |
| T add_down(const T& x, const T& y) { BOOST_UP_NEG((-x) - y); } |
| T sub_down(const T& x, const T& y) { BOOST_UP_NEG(y - x); } |
| T mul_down(const T& x, const T& y) { BOOST_UP_NEG(x * (-y)); } |
| T div_down(const T& x, const T& y) { BOOST_UP_NEG(x / (-y)); } |
| T add_up (const T& x, const T& y) { BOOST_UP(x + y); } |
| T sub_up (const T& x, const T& y) { BOOST_UP(x - y); } |
| T mul_up (const T& x, const T& y) { BOOST_UP(x * y); } |
| T div_up (const T& x, const T& y) { BOOST_UP(x / y); } |
| T median (const T& x, const T& y) { BOOST_NR((x + y) / 2); } |
| T sqrt_down(const T& x) |
| { BOOST_NUMERIC_INTERVAL_using_math(sqrt); BOOST_DN(sqrt(x)); } |
| T sqrt_up (const T& x) |
| { BOOST_NUMERIC_INTERVAL_using_math(sqrt); BOOST_UP(sqrt(x)); } |
| T int_down(const T& x) { return -to_int(-x); } |
| T int_up (const T& x) { return to_int(x); } |
| # undef BOOST_DN |
| # undef BOOST_NR |
| # undef BOOST_UP |
| # undef BOOST_UP_NEG |
| }; |
| |
| } // namespace interval_lib |
| } // namespace numeric |
| } // namespace boost |
| |
| #endif // BOOST_NUMERIC_INTERVAL_ROUNDED_ARITH_HPP |