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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: BigRat.h * Synopsis: * a wrapper class for mpq from GMP * * 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/BigRat.h $ * $Id: include/CGAL/CORE/BigRat.h b26b07a1242 $ * SPDX-License-Identifier: LGPL-3.0-or-later ***************************************************************************/ #ifndef _CORE_BIGRAT_H_ #define _CORE_BIGRAT_H_ #include namespace CORE { #ifdef CGAL_CORE_USE_GMP_BACKEND typedef boost::multiprecision::mpq_rational BigRat; #else typedef boost::multiprecision::cpp_rational BigRat; #endif inline BigInt numerator(const BigRat& q) { return boost::multiprecision::numerator(q); } inline BigInt denominator(const BigRat& q) { return boost::multiprecision::denominator(q); } // Chee (3/19/2004): // The following definitions of div_exact(x,y) and gcd(x,y) // ensures that in Polynomial /// divisible(x,y) = "x | y" inline BigRat div_exact(const BigRat& x, const BigRat& y) { BigRat z = x / y; return z; } inline BigRat gcd(const BigRat& x , const BigRat& y) { // return BigRat(1); // Remark: we may want replace this by // the definition of gcd of a quotient field // of a UFD [Yap's book, Chap.3] //Here is one possible definition: gcd of x and y is just the //gcd of the numerators of x and y divided by the gcd of the //denominators of x and y. BigInt n = gcd(numerator(x), numerator(y)); BigInt d = gcd(denominator(x), denominator(y)); return BigRat(n,d); } /// BigIntValue inline BigInt BigIntValue(const BigRat& br) { BigInt r, rem; divide_qr(numerator(br), denominator(br), r, rem); return r; } } // namespace CORE #endif // _CORE_BIGRAT_H_