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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: CoreAux.h * Synopsis: * Auxiliary functions * * Written by * Chee Yap * Chen Li * Zilin Du * * 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/CoreAux.h $ * $Id: include/CGAL/CORE/CoreAux.h b26b07a1242 $ * SPDX-License-Identifier: LGPL-3.0-or-later ***************************************************************************/ #ifndef _CORE_COREAUX_H_ #define _CORE_COREAUX_H_ #include #include #include "CGAL/CORE/Impl.h" namespace CORE { #ifndef LONG_BIT // such as in Linux #define LONG_BIT (sizeof(long) * 8) #endif /// CORE_EPS is unit roundoff for IEEE standard double, i.e., 2^{-53}. // NOTES: // (1) CORE_EPS is used in our Floating Point Filter (Filter.h) // (2) 2^{-53} is called "unit roundoff" and // is the roundoff error for numbers in the range [1,2). // "Machine epsilon" is 2*CORE_EPS = 2^{-52}. It is the // smallest gap between two normal machine numbers --Chee 8/2003 // // const double eps = (ldexp(1.0, -53)); // fails to link on SunPro #define CORE_EPS ((1.0/(1<<30))/(1<<23)) // #define CORE_MACHINE_EPS ((1.0/(1<<30))/(1<<22)) /// relEps is relative error for IEEE standard double, 1+2^{-52}. const double relEps = (1.0 + std::ldexp(1.0, -52)); /// CORE_DIAGFILE is used for all warning and error messages const char* const CORE_DIAGFILE = "Core_Diagnostics"; // global file name /// template function returns the maximum value of two template inline const T& core_max(const T& a, const T& b) { return ((a > b) ? a : b); } /// template function returns the minimum value of two template inline const T& core_min(const T& a, const T& b) { return ((a < b) ? a : b); } /// template function returns the maximum value of three template inline const T& core_max(const T& a, const T& b, const T& c) { return ((a > b) ? core_max(a, c) : core_max(b, c)); } /// template function swaps two values template inline void core_swap(T& a, T& b) { T tmp; tmp = a; a = b; b = tmp; } /// template function rotate three values template inline void core_rotate(T& a, T& b, T& c) { T tmp; tmp = a; a = b; b = c; c = tmp; } /// template function returns the minimum value of three template inline const T& core_min(const T& a, const T& b, const T& c) { return ((a < b) ? core_min(a, c) : core_min(b, c)); } /// template function returns the absolute value template inline const T core_abs(const T& a) { return ((a < T(0)) ? -a : a); } /// returns floor log base 2 of abs(x) /** CONVENTION: lg(0) = -1 */ CGAL_CORE_EXPORT int flrLg(long x); /// returns floor log base 2 of unsigned long x /** CONVENTION: lg(0) = -1 */ CGAL_CORE_EXPORT int flrLg(unsigned long x); /// returns ceiling log base 2 of abs(x) /** CONVENTION: lg(0) = -1 */ CGAL_CORE_EXPORT int clLg(long x); /// returns ceiling log base 2 of unsigned long x /** CONVENTION: lg(0) = -1 */ CGAL_CORE_EXPORT int clLg(unsigned long x); /// gcd for machine type long CGAL_CORE_EXPORT long gcd(long m, long n); /// abs for int type inline int abs(int x) { return (x>=0) ? x : (-x); } /// abs for long type inline long abs(long x) { return (x>=0) ? x : (-x); } /// sign for int type inline int sign(int x) { return (x==0) ? 0 : ((x>0) ? 1 : (-1)); } /// sign for long type inline long sign(long x) { return (x==0) ? 0 : ((x>0) ? 1 : (-1)); } /// overloaded << to print out std::string inline std::ostream& operator<< (std::ostream& o, const std::string& s) { o << s.c_str(); return o; } /// implements the "integer mantissa" function // (See CORE_PATH/progs/ieee/frexp.cpp for details) CGAL_CORE_EXPORT double IntMantissa(double d); /// implements the "integer exponent" function // (See CORE_PATH/progs/ieee/frexp.cpp for details) CGAL_CORE_EXPORT int IntExponent(double d); /// This is for debugging messages inline void core_debug(std::string msg){ std::cout << __FILE__ << "::" << __LINE__ << ": " << msg << std::endl; } } //namespace CORE #ifdef CGAL_HEADER_ONLY #include #endif // CGAL_HEADER_ONLY #endif // _CORE_COREAUX_H_