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/**************************************************************************** * Core Library Version 1.7, August 2004 * Copyright (c) 1995-2004 Exact Computation Project * All rights reserved. * * This file is part of CGAL (www.cgal.org). * * File: extLong.cpp * Synopsis: * The class extLong is basically a wrapper around the machine * type long. It is an important class to provide several * additional facilities to detect overflows and undefined values. * Future development includes extensions to level arithmetic * (i.e., if a number overflows level i, we will go to level i+1). * Level i representation of a number n is just i iterations * of log_2 applied to n. * * Written by * Chee Yap * Chen Li * Zilin Du * Sylvain Pion * * WWW URL: https://cs.nyu.edu/exact/ * Email: exact@cs.nyu.edu * * $URL: https://github.com/CGAL/cgal/blob/v6.1/CGAL_Core/include/CGAL/CORE/extLong_impl.h $ * $Id: include/CGAL/CORE/extLong_impl.h b26b07a1242 $ * SPDX-License-Identifier: LGPL-3.0-or-later ***************************************************************************/ #ifdef CGAL_HEADER_ONLY #define CGAL_INLINE_FUNCTION inline #else #define CGAL_INLINE_FUNCTION #endif #include namespace CORE { CGAL_INLINE_FUNCTION const extLong& extLong::getNaNLong() { static const extLong NaNLong(true); return NaNLong; } CGAL_INLINE_FUNCTION const extLong& extLong::getPosInfty() { static const extLong posInfty(EXTLONG_MAX); return posInfty; } CGAL_INLINE_FUNCTION const extLong& extLong::getNegInfty() { static const extLong negInfty(EXTLONG_MIN); return negInfty; } CGAL_INLINE_FUNCTION void extLong::add(extLong& z, long x, long y) { if (x > 0 && y > 0 && x >= EXTLONG_MAX - y) { z.val = EXTLONG_MAX; z.flag = 1; } else if (x < 0 && y < 0 && x <= EXTLONG_MIN - y) { z.val = EXTLONG_MIN; z.flag = -1; } else { z.val = x + y; z.flag = 0; } } // arithmetic and assignment operators CGAL_INLINE_FUNCTION extLong& extLong::operator+= (const extLong& y) { if (flag == 2 || y.flag == 2 || (flag * y.flag < 0)) { #ifdef CORE_DEBUG if (flag * y.flag < 0) //want a message at the first creation of NaN CGAL_CORE_warning_msg(false, "extLong NaN Error in addition."); #endif *this = CORE_NaNLong; } else if (flag == 1 || y.flag == 1) { // one of them is +Inf *this = CORE_posInfty; } else if (flag == -1 || y.flag == -1) { // one of them is -Inf *this = CORE_negInfty; } else { // x and y are normal now add(*this, val, y.val); } return *this; } CGAL_INLINE_FUNCTION extLong& extLong::operator-= (const extLong& y) { if (flag == 2 || y.flag == 2 || (flag * y.flag > 0)) { #ifdef CORE_DEBUG if (flag * y.flag > 0) //want a message at the first creation of NaN CGAL_CORE_warning_msg(false, "extLong NaN Error in subtraction."); #endif *this = CORE_NaNLong; } else if (flag == 1 || y.flag == -1) { *this = CORE_posInfty; } else if (flag == -1 || y.flag == 1) { *this = CORE_negInfty; } else { add(*this, val, -y.val); } return *this; } CGAL_INLINE_FUNCTION extLong& extLong::operator*= (const extLong& y) { if (flag == 2 || y.flag == 2) { *this = CORE_NaNLong; } else if ((flag != 0) || (y.flag != 0)) { if (sign() * y.sign() > 0) *this = CORE_posInfty; else *this = CORE_negInfty; } else { // flag == 0 and y.flag == 0 double d = double(val) * double(y.val); long p = val * y.val; if (std::fabs(d - p) <= std::fabs(d) * relEps) { val = p; flag = 0; } else if (d > static_cast(EXTLONG_MAX)) { *this = CORE_posInfty; } else if (d < static_cast(EXTLONG_MIN)) { *this = CORE_negInfty; } else { #ifdef CORE_DEBUG CGAL_CORE_warning_msg(false, "extLong NaN Error in multiplication."); #endif *this = CORE_NaNLong; } } return *this; } CGAL_INLINE_FUNCTION extLong& extLong::operator/= (const extLong& y) { if (flag==2 || y.flag==2 || ((flag != 0) && (y.flag != 0)) || (y.val == 0)) { #ifdef CORE_DEBUG if (y.val == 0) CGAL_CORE_warning_msg(false, "extLong NaN Error, Divide by Zero."); else if ((flag !=0) && (y.flag !=0)) CGAL_CORE_warning_msg(false, "extLong NaN Error, +/-Inf/Inf."); #endif *this = CORE_NaNLong; } else if ((flag != 0) || (y.flag != 0)) { // y.flag == 0 now and y != 0 if (sign() * y.sign() > 0) *this = CORE_posInfty; else *this = CORE_negInfty; } else { // flag == 0 and y.flag == 0 val /= y.val; // no overflow in divisions flag = 0; } return *this; } // unary minus CGAL_INLINE_FUNCTION extLong extLong::operator- () const { if (flag == 0) return extLong(-val); else if (flag == 1) return CORE_negInfty; else if (flag == -1) return CORE_posInfty; else // NaN return CORE_NaNLong; } // sign // You should check "flag" before calling this, otherwise // you cannot interpret the returned value! CGAL_INLINE_FUNCTION int extLong::sign() const { CGAL_CORE_warning_msg(flag != 2, "NaN Sign can not be determined!"); return ((val == 0) ? 0 : ((val > 0) ? 1 : -1)); } // stream operators CGAL_INLINE_FUNCTION std::ostream& operator<< (std::ostream& o, const extLong& x) { if (x.flag == 1) o << " infty "; else if (x.flag == - 1) o << " tiny "; else if (x.flag == 2) o << " NaN "; else o << x.val; return o; } } //namespace CORE