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121 lines
4.7 KiB
C++
121 lines
4.7 KiB
C++
/* Boost interval/rounded_arith.hpp template implementation file
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*
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* Copyright 2002-2003 Hervé Brönnimann, Guillaume Melquiond, Sylvain Pion
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*
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* Distributed under the Boost Software License, Version 1.0.
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* (See accompanying file LICENSE_1_0.txt or
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* copy at http://www.boost.org/LICENSE_1_0.txt)
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*/
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#ifndef BOOST_NUMERIC_INTERVAL_ROUNDED_ARITH_HPP
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#define BOOST_NUMERIC_INTERVAL_ROUNDED_ARITH_HPP
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#include <boost/numeric/interval/rounding.hpp>
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#include <boost/numeric/interval/detail/bugs.hpp>
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#include <boost/config/no_tr1/cmath.hpp>
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namespace boost {
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namespace numeric {
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namespace interval_lib {
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/*
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* Three classes of rounding: exact, std, opp
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* See documentation for details.
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*/
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template<class T, class Rounding>
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struct rounded_arith_exact: Rounding {
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void init() { }
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template<class U> T conv_down(U const &v) { return v; }
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template<class U> T conv_up (U const &v) { return v; }
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T add_down (const T& x, const T& y) { return x + y; }
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T add_up (const T& x, const T& y) { return x + y; }
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T sub_down (const T& x, const T& y) { return x - y; }
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T sub_up (const T& x, const T& y) { return x - y; }
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T mul_down (const T& x, const T& y) { return x * y; }
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T mul_up (const T& x, const T& y) { return x * y; }
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T div_down (const T& x, const T& y) { return x / y; }
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T div_up (const T& x, const T& y) { return x / y; }
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T median (const T& x, const T& y) { return (x + y) / 2; }
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T sqrt_down(const T& x)
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{ BOOST_NUMERIC_INTERVAL_using_math(sqrt); return sqrt(x); }
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T sqrt_up (const T& x)
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{ BOOST_NUMERIC_INTERVAL_using_math(sqrt); return sqrt(x); }
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T int_down (const T& x)
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{ BOOST_NUMERIC_INTERVAL_using_math(floor); return floor(x); }
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T int_up (const T& x)
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{ BOOST_NUMERIC_INTERVAL_using_math(ceil); return ceil(x); }
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};
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template<class T, class Rounding>
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struct rounded_arith_std: Rounding {
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# define BOOST_DN(EXPR) this->downward(); return this->force_rounding(EXPR)
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# define BOOST_NR(EXPR) this->to_nearest(); return this->force_rounding(EXPR)
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# define BOOST_UP(EXPR) this->upward(); return this->force_rounding(EXPR)
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void init() { }
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template<class U> T conv_down(U const &v) { BOOST_DN(v); }
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template<class U> T conv_up (U const &v) { BOOST_UP(v); }
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T add_down(const T& x, const T& y) { BOOST_DN(x + y); }
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T sub_down(const T& x, const T& y) { BOOST_DN(x - y); }
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T mul_down(const T& x, const T& y) { BOOST_DN(x * y); }
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T div_down(const T& x, const T& y) { BOOST_DN(x / y); }
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T add_up (const T& x, const T& y) { BOOST_UP(x + y); }
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T sub_up (const T& x, const T& y) { BOOST_UP(x - y); }
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T mul_up (const T& x, const T& y) { BOOST_UP(x * y); }
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T div_up (const T& x, const T& y) { BOOST_UP(x / y); }
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T median(const T& x, const T& y) { BOOST_NR((x + y) / 2); }
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T sqrt_down(const T& x)
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{ BOOST_NUMERIC_INTERVAL_using_math(sqrt); BOOST_DN(sqrt(x)); }
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T sqrt_up (const T& x)
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{ BOOST_NUMERIC_INTERVAL_using_math(sqrt); BOOST_UP(sqrt(x)); }
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T int_down(const T& x) { this->downward(); return this->to_int(x); }
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T int_up (const T& x) { this->upward(); return this->to_int(x); }
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# undef BOOST_DN
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# undef BOOST_NR
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# undef BOOST_UP
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};
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template<class T, class Rounding>
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struct rounded_arith_opp: Rounding {
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void init() { this->upward(); }
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# define BOOST_DN(EXPR) \
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this->downward(); \
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T r = this->force_rounding(EXPR); \
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this->upward(); \
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return r
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# define BOOST_NR(EXPR) \
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this->to_nearest(); \
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T r = this->force_rounding(EXPR); \
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this->upward(); \
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return r
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# define BOOST_UP(EXPR) return this->force_rounding(EXPR)
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# define BOOST_UP_NEG(EXPR) return -this->force_rounding(EXPR)
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template<class U> T conv_down(U const &v) { BOOST_UP_NEG(-v); }
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template<class U> T conv_up (U const &v) { BOOST_UP(v); }
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T add_down(const T& x, const T& y) { BOOST_UP_NEG((-x) - y); }
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T sub_down(const T& x, const T& y) { BOOST_UP_NEG(y - x); }
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T mul_down(const T& x, const T& y) { BOOST_UP_NEG(x * (-y)); }
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T div_down(const T& x, const T& y) { BOOST_UP_NEG(x / (-y)); }
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T add_up (const T& x, const T& y) { BOOST_UP(x + y); }
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T sub_up (const T& x, const T& y) { BOOST_UP(x - y); }
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T mul_up (const T& x, const T& y) { BOOST_UP(x * y); }
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T div_up (const T& x, const T& y) { BOOST_UP(x / y); }
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T median (const T& x, const T& y) { BOOST_NR((x + y) / 2); }
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T sqrt_down(const T& x)
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{ BOOST_NUMERIC_INTERVAL_using_math(sqrt); BOOST_DN(sqrt(x)); }
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T sqrt_up (const T& x)
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{ BOOST_NUMERIC_INTERVAL_using_math(sqrt); BOOST_UP(sqrt(x)); }
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T int_down(const T& x) { return -this->to_int(-x); }
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T int_up (const T& x) { return this->to_int(x); }
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# undef BOOST_DN
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# undef BOOST_NR
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# undef BOOST_UP
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# undef BOOST_UP_NEG
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};
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} // namespace interval_lib
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} // namespace numeric
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} // namespace boost
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#endif // BOOST_NUMERIC_INTERVAL_ROUNDED_ARITH_HPP
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