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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: BigInt.h * Synopsis: * a wrapper class for mpz 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/BigInt.h $ * $Id: include/CGAL/CORE/BigInt.h b26b07a1242 $ * SPDX-License-Identifier: LGPL-3.0-or-later ***************************************************************************/ #ifndef _CORE_BIGINT_H_ #define _CORE_BIGINT_H_ #include #include #include #include #if !(defined(CGAL_CORE_USE_BOOST_BACKEND) && BOOST_VERSION > 107900 && defined(CGAL_USE_BOOST_MP)) && !defined(CGAL_DISABLE_GMP) #define CGAL_CORE_USE_GMP_BACKEND 1 #endif namespace CORE { #ifdef CGAL_CORE_USE_GMP_BACKEND typedef boost::multiprecision::mpz_int BigInt; #else typedef boost::multiprecision::cpp_int BigInt; #endif inline int cmp(const BigInt& x, const BigInt& y) { return x.compare(y); } inline int set_str(BigInt& a, const char* s) { a = BigInt(s); return 0; // should be -1 if not correct in the base (we ignore) } /// longValue inline long longValue(const BigInt& a) { return a.convert_to(); } /// doubleValue inline double doubleValue(const BigInt& a) { return a.convert_to(); } /// isEven inline bool isEven(const BigInt& z) { return bit_test(z,0) == 0; } /// isOdd inline bool isOdd(const BigInt& z) { return bit_test(z,0) == 1; } inline bool isDivisible(const BigInt& x, const BigInt& y) { BigInt q, r; divide_qr(x, y, q, r); return r.is_zero(); } inline bool isDivisible(int x, int y) { return x % y == 0; } inline bool isDivisible(long x, long y) { return x % y == 0; } /// get exponent of power 2 inline std::size_t getBinExpo(const BigInt& z) { if (z.is_zero()) { return (std::numeric_limits::max)(); } return lsb(abs(z)); } // bit length inline std::size_t bitLength(const BigInt& a){ if (a.is_zero()) { return 0; } return msb(abs(a))+1; } /// floorLg -- floor of log_2(a) /** Convention: a=0, floorLg(a) returns -1. * This makes sense for integer a. */ inline long floorLg(const BigInt& a) { assert(std::size_t((std::numeric_limits::max)()) > bitLength(a)); return (sign(a) == 0) ? (-1) : static_cast(bitLength(a)-1); } /// div_rem inline void div_rem(BigInt& q, BigInt& r, const BigInt& a, const BigInt& b) { divide_qr(a, b, q, r); } /// ulongValue inline unsigned long ulongValue(const BigInt& a) { assert(a >= BigInt(0)); return a.convert_to(); } /// exact div inline void divexact(BigInt& z, const BigInt& x, const BigInt& y) { BigInt r; divide_qr(x, y, z, r ); // was void mpz_divexact (mpz_t q, const mpz_t n, const mpz_t d) Is this faster? assert(r.is_zero()); } // Chee (1/12/2004) The definition of div_exact(x,y) next // ensure that in Polynomials works with both NT=BigInt and NT=int: inline BigInt div_exact(const BigInt& x, const BigInt& y) { BigInt z; // precodition: isDivisible(x,y) divexact(z, x, y); // z is set to x/y; return z; } inline int div_exact(int x, int y) { return x/y; // precondition: isDivisible(x,y) } inline long div_exact(long x, long y) { return x/y; // precondition: isDivisible(x,y) } inline BigInt gcd(const BigInt& a, const BigInt& b){ return boost::multiprecision::gcd(a,b); } /// ceilLg -- ceiling of log_2(a) where a=BigInt, int or long /** Convention: a=0, ceilLg(a) returns -1. * This makes sense for integer a. */ inline long ceilLg(const BigInt& a) { if (sign(a) == 0) return -1; assert(std::size_t((std::numeric_limits::max)()) > bitLength(a)); std::size_t len = static_cast(bitLength(a)); return (lsb(abs(a)) == len - 1) ? (static_cast(len) - 1) : static_cast(len); } inline long ceilLg(long a) { // need this for Polynomial return ceilLg(BigInt(a)); } inline long ceilLg(int a) { // need this for Polynomial return ceilLg(BigInt(a)); } /// negate inline void negate(BigInt& a) { a= - a; } /// get exponent of power k inline void getKaryExpo(const BigInt& z, BigInt& m, int& e, unsigned long uk) { BigInt k(uk), q, r; e = 0; m = z; for(;;) { divide_qr(m, k, q, r); if (!r.is_zero()) break; m = q; ++e; } } inline void power(BigInt& c, const BigInt& a, unsigned long ul) { c = pow(a, ul); } } // namespace CORE #endif // _CORE_BIGINT_H_