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/* Boost interval/interval.hpp header 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_INTERVAL_HPP #define BOOST_NUMERIC_INTERVAL_INTERVAL_HPP #include #include #include namespace boost { namespace numeric { namespace interval_lib { class comparison_error : public std::runtime_error { public: comparison_error() : std::runtime_error("boost::interval: uncertain comparison") { } }; } // namespace interval_lib /* * interval class */ template class interval { private: struct interval_holder; struct number_holder; public: typedef T base_type; typedef Policies traits_type; T const &lower() const; T const &upper() const; interval(); interval(T const &v); template interval(T1 const &v); interval(T const &l, T const &u); template interval(T1 const &l, T2 const &u); interval(interval const &r); template interval(interval const &r); template interval(interval const &r); interval &operator=(T const &v); template interval &operator=(T1 const &v); interval &operator=(interval const &r); template interval &operator=(interval const &r); template interval &operator=(interval const &r); void assign(const T& l, const T& u); static interval empty(); static interval whole(); static interval hull(const T& x, const T& y); interval& operator+= (const T& r); interval& operator+= (const interval& r); interval& operator-= (const T& r); interval& operator-= (const interval& r); interval& operator*= (const T& r); interval& operator*= (const interval& r); interval& operator/= (const T& r); interval& operator/= (const interval& r); bool operator< (const interval_holder& r) const; bool operator> (const interval_holder& r) const; bool operator<= (const interval_holder& r) const; bool operator>= (const interval_holder& r) const; bool operator== (const interval_holder& r) const; bool operator!= (const interval_holder& r) const; bool operator< (const number_holder& r) const; bool operator> (const number_holder& r) const; bool operator<= (const number_holder& r) const; bool operator>= (const number_holder& r) const; bool operator== (const number_holder& r) const; bool operator!= (const number_holder& r) const; // the following is for internal use only, it is not a published interface // nevertheless, it's public because friends don't always work correctly. interval(const T& l, const T& u, bool): low(l), up(u) {} void set_empty(); void set_whole(); void set(const T& l, const T& u); private: struct interval_holder { template interval_holder(const interval& r) : low(r.lower()), up(r.upper()) { typedef typename Policies2::checking checking2; if (checking2::is_empty(low, up)) throw interval_lib::comparison_error(); } const T& low; const T& up; }; struct number_holder { number_holder(const T& r) : val(r) { typedef typename Policies::checking checking; if (checking::is_nan(r)) throw interval_lib::comparison_error(); } const T& val; }; typedef typename Policies::checking checking; typedef typename Policies::rounding rounding; T low; T up; }; template inline interval::interval(): low(static_cast(0)), up(static_cast(0)) {} template inline interval::interval(T const &v): low(v), up(v) { if (checking::is_nan(v)) set_empty(); } template template inline interval::interval(T1 const &v) { if (checking::is_nan(v)) set_empty(); else { rounding rnd; low = rnd.conv_down(v); up = rnd.conv_up (v); } } template template inline interval::interval(T1 const &l, T2 const &u) { if (checking::is_nan(l) || checking::is_nan(u) || !(l <= u)) set_empty(); else { rounding rnd; low = rnd.conv_down(l); up = rnd.conv_up (u); } } template inline interval::interval(T const &l, T const &u): low(l), up(u) { if (checking::is_nan(l) || checking::is_nan(u) || !(l <= u)) set_empty(); } template inline interval::interval(interval const &r): low(r.lower()), up(r.upper()) {} template template inline interval::interval(interval const &r): low(r.lower()), up(r.upper()) { typedef typename Policies1::checking checking1; if (checking1::is_empty(r.lower(), r.upper())) set_empty(); } template template inline interval::interval(interval const &r) { typedef typename Policies1::checking checking1; if (checking1::is_empty(r.lower(), r.upper())) set_empty(); else { rounding rnd; low = rnd.conv_down(r.lower()); up = rnd.conv_up (r.upper()); } } template inline interval &interval::operator=(T const &v) { if (checking::is_nan(v)) set_empty(); else low = up = v; return *this; } template template inline interval &interval::operator=(T1 const &v) { if (checking::is_nan(v)) set_empty(); else { rounding rnd; low = rnd.conv_down(v); up = rnd.conv_up (v); } return *this; } template inline interval &interval::operator=(interval const &r) { low = r.lower(); up = r.upper(); return *this; } template template inline interval &interval::operator=(interval const &r) { typedef typename Policies1::checking checking1; if (checking1::is_empty(r.lower(), r.upper())) set_empty(); else { low = r.lower(); up = r.upper(); } return *this; } template template inline interval &interval::operator=(interval const &r) { typedef typename Policies1::checking checking1; if (checking1::is_empty(r.lower(), r.upper())) set_empty(); else { rounding rnd; low = rnd.conv_down(r.lower()); up = rnd.conv_up (r.upper()); } return *this; } template inline void interval::assign(const T& l, const T& u) { if (checking::is_nan(l) || checking::is_nan(u) || !(l <= u)) set_empty(); else set(l, u); } template inline void interval::set(const T& l, const T& u) { low = l; up = u; } template inline void interval::set_empty() { low = checking::empty_lower(); up = checking::empty_upper(); } template inline void interval::set_whole() { low = checking::neg_inf(); up = checking::pos_inf(); } template inline interval interval::hull(const T& x, const T& y) { bool bad_x = checking::is_nan(x); bool bad_y = checking::is_nan(y); if (bad_x) if (bad_y) return interval::empty(); else return interval(y, y, true); else if (bad_y) return interval(x, x, true); if (x <= y) return interval(x, y, true); else return interval(y, x, true); } template inline interval interval::empty() { return interval(checking::empty_lower(), checking::empty_upper(), true); } template inline interval interval::whole() { return interval(checking::neg_inf(), checking::pos_inf(), true); } template inline const T& interval::lower() const { return low; } template inline const T& interval::upper() const { return up; } /* * interval/interval comparisons */ template inline bool interval::operator< (const interval_holder& r) const { if (!checking::is_empty(low, up)) { if (up < r.low) return true; else if (low >= r.up) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator> (const interval_holder& r) const { if (!checking::is_empty(low, up)) { if (low > r.up) return true; else if (up <= r.low) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator<= (const interval_holder& r) const { if (!checking::is_empty(low, up)) { if (up <= r.low) return true; else if (low > r.up) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator>= (const interval_holder& r) const { if (!checking::is_empty(low, up)) { if (low >= r.up) return true; else if (up < r.low) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator== (const interval_holder& r) const { if (!checking::is_empty(low, up)) { if (up == r.low && low == r.up) return true; else if (up < r.low || low > r.up) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator!= (const interval_holder& r) const { if (!checking::is_empty(low, up)) { if (up < r.low || low > r.up) return true; else if (up == r.low && low == r.up) return false; } throw interval_lib::comparison_error(); } /* * interval/number comparisons */ template inline bool interval::operator< (const number_holder& r) const { if (!checking::is_empty(low, up)) { if (up < r.val) return true; else if (low >= r.val) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator> (const number_holder& r) const { if (!checking::is_empty(low, up)) { if (low > r.val) return true; else if (up <= r.val) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator<= (const number_holder& r) const { if (!checking::is_empty(low, up)) { if (up <= r.val) return true; else if (low > r.val) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator>= (const number_holder& r) const { if (!checking::is_empty(low, up)) { if (low >= r.val) return true; else if (up < r.val) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator== (const number_holder& r) const { if (!checking::is_empty(low, up)) { if (up == r.val && low == r.val) return true; else if (up < r.val || low > r.val) return false; } throw interval_lib::comparison_error(); } template inline bool interval::operator!= (const number_holder& r) const { if (!checking::is_empty(low, up)) { if (up < r.val || low > r.val) return true; else if (up == r.val && low == r.val) return false; } throw interval_lib::comparison_error(); } } // namespace numeric } // namespace boost #endif // BOOST_NUMERIC_INTERVAL_INTERVAL_HPP