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// Copyright (c) 2002,2003 // Utrecht University (The Netherlands), // ETH Zurich (Switzerland), // INRIA Sophia-Antipolis (France), // Max-Planck-Institute Saarbruecken (Germany), // and Tel-Aviv University (Israel). All rights reserved. // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Number_types/include/CGAL/GMP/Gmpq_type.h $ // $Id: include/CGAL/GMP/Gmpq_type.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Andreas Fabri, Sylvain Pion #ifndef CGAL_GMPQ_TYPE_H #define CGAL_GMPQ_TYPE_H #include #include #include #include #include #include #include #include #include #include #include #include #if defined(BOOST_MSVC) # pragma warning(push) # pragma warning(disable:4146) // warning on - applied on unsigned number #endif namespace CGAL { // Wrapper around mpq_t to get the destructor call mpq_clear. // Contrary to mpz_t, there are no mpq_init_set_* functions, // so we simply call mpq_init() here. struct Gmpq_rep { mpq_t mpQ; Gmpq_rep() { mpq_init(mpQ); } ~Gmpq_rep() { mpq_clear(mpQ); } private: // Make sure it does not get accidentally copied. Gmpq_rep(const Gmpq_rep &); Gmpq_rep & operator= (const Gmpq_rep &); }; class Gmpq : Handle_for, boost::totally_ordered1< Gmpq , boost::ordered_field_operators2< Gmpq, int , boost::ordered_field_operators2< Gmpq, long , boost::ordered_field_operators2< Gmpq, long long , boost::ordered_field_operators2< Gmpq, double , boost::ordered_field_operators2< Gmpq, Gmpz , boost::ordered_field_operators2< Gmpq, Gmpfr > > > > > > > { typedef Handle_for Base; public: typedef Tag_false Has_gcd; typedef Tag_true Has_division; typedef Tag_false Has_sqrt; typedef Tag_true Has_exact_ring_operations; typedef Tag_true Has_exact_division; typedef Tag_false Has_exact_sqrt; Gmpq() {} Gmpq(const mpq_t q) { mpq_set(mpq(), q); } Gmpq(int n) { mpq_set_si(mpq(), n, 1); } Gmpq(unsigned int n) { mpq_set_ui(mpq(), n, 1); } Gmpq(long n) { mpq_set_si(mpq(), n, 1); } Gmpq(unsigned long n) { mpq_set_ui(mpq(), n, 1); } private: void init_ull(unsigned long long n){ CGAL_assertion(sizeof(long)==4 && sizeof(long long)==8); mpq_set_ui(mpq(), (unsigned long)(n>>32), 1); mpz_ptr z = mpq_numref(mpq()); mpz_mul_2exp (z, z, 32); mpz_add_ui (z, z, (unsigned long)n); } public: Gmpq(unsigned long long n) { if (n <= std::numeric_limits::max BOOST_PREVENT_MACRO_SUBSTITUTION ()) mpq_set_ui(mpq(), (unsigned long)n, 1); else init_ull(n); } Gmpq(long long n) { if (sizeof(long)==sizeof(long long)) mpq_set_si(mpq(), (long)n, 1); else if (n>=0) init_ull(n); else { init_ull(-(unsigned long long)n); mpq_neg(mpq(), mpq()); } } Gmpq(const Gmpz& n) { mpq_set_z(mpq(), n.mpz()); } Gmpq(int n, int d) { if (d < 0) { n = -n; d = -d; } mpq_set_si(mpq(), n, d); mpq_canonicalize(mpq()); } Gmpq(signed long n, unsigned long d) { mpq_set_si(mpq(), n, d); mpq_canonicalize(mpq()); } Gmpq(unsigned long n, unsigned long d) { mpq_set_ui(mpq(), n, d); mpq_canonicalize(mpq()); } Gmpq(const Gmpz& n, const Gmpz& d) { mpz_set(mpq_numref(mpq()), n.mpz()); mpz_set(mpq_denref(mpq()), d.mpz()); mpq_canonicalize(mpq()); } Gmpq(double d) { CGAL_assertion(is_finite(d)); mpq_set_d(mpq(), d); } Gmpq(const Gmpfr &f) { std::pair intexp=f.to_integer_exp(); if(intexp.second<0){ mpz_set(mpq_numref(mpq()),intexp.first.mpz()); mpz_ui_pow_ui(mpq_denref(mpq()),2,-intexp.second); }else{ mpz_mul_2exp(mpq_numref(mpq()), intexp.first.mpz(), (unsigned long)intexp.second); mpz_set_ui(mpq_denref(mpq()),1); } // mpq_canonicalize is needed only when the numerator is odd and not zero if(mpz_tstbit(intexp.first.mpz(),0)==0 && mpz_sgn(intexp.first.mpz())!=0) mpq_canonicalize(mpq()); CGAL_assertion_msg(mpfr_cmp_q(f.fr(),mpq())==0, "error in conversion Gmpfr->Gmpq"); } Gmpq(const std::string& str, int base = 10) { mpq_set_str(mpq(), str.c_str(), base); mpq_canonicalize(mpq()); } #ifdef CGAL_ROOT_OF_2_ENABLE_HISTOGRAM_OF_NUMBER_OF_DIGIT_ON_THE_COMPLEX_CONSTRUCTOR int tam() const { return 0; } // put here a code // measuring the number of digits // of the Gmpq // a possible code is: // int tam() const { return std::max(numerator().tam(), // denominator().tam()); } // the same as Quotient #endif // Gives the memory size in bytes. (not documented yet) std::size_t size() const { std::size_t s_num = mpz_size(mpq_numref(mpq())) * (mp_bits_per_limb/8); std::size_t s_den = mpz_size(mpq_denref(mpq())) * (mp_bits_per_limb/8); return s_num + s_den; } Gmpz numerator() const { return Gmpz(mpq_numref(mpq())); } Gmpz denominator() const { return Gmpz(mpq_denref(mpq())); } Gmpq operator+() const; Gmpq operator-() const; Gmpq& operator+=(const Gmpq &q); Gmpq& operator-=(const Gmpq &q); Gmpq& operator*=(const Gmpq &q); Gmpq& operator/=(const Gmpq &q); bool operator==(const Gmpq &q) const noexcept { return mpq_equal(this->mpq(), q.mpq()) != 0;} bool operator< (const Gmpq &q) const { return mpq_cmp(this->mpq(), q.mpq()) < 0; } double to_double() const noexcept; Sign sign() const noexcept; const mpq_t & mpq() const noexcept { return Ptr()->mpQ; } mpq_t & mpq() noexcept { return ptr()->mpQ; } friend void swap(Gmpq &x, Gmpq &y) noexcept { x.Base::swap(y); } #ifdef CGAL_PROFILE ~Gmpq() { CGAL_HISTOGRAM_PROFILER("[Gmpq sizes in log2 scale]", (unsigned) ( ::log(double(size())) / ::log(double(2)) ) ); } #endif // Interoperability with int Gmpq& operator+=(int z){return (*this)+= Gmpq(z);} Gmpq& operator-=(int z){return (*this)-= Gmpq(z);} Gmpq& operator*=(int z){return (*this)*= Gmpq(z);} Gmpq& operator/=(int z){return (*this)/= Gmpq(z);} bool operator==(int z) const {return mpq_cmp_si(mpq(),z,1)==0;} bool operator< (int z) const {return mpq_cmp_si(mpq(),z,1)<0;} bool operator> (int z) const {return mpq_cmp_si(mpq(),z,1)>0;} // Interoperability with long Gmpq& operator+=(long z){return (*this)+= Gmpq(z);} Gmpq& operator-=(long z){return (*this)-= Gmpq(z);} Gmpq& operator*=(long z){return (*this)*= Gmpq(z);} Gmpq& operator/=(long z){return (*this)/= Gmpq(z);} bool operator==(long z) const {return mpq_cmp_si(mpq(),z,1)==0;} bool operator< (long z) const {return mpq_cmp_si(mpq(),z,1)<0;} bool operator> (long z) const {return mpq_cmp_si(mpq(),z,1)>0;} // Interoperability with long long Gmpq& operator+=(long long z){return (*this)+= Gmpq(z);} Gmpq& operator-=(long long z){return (*this)-= Gmpq(z);} Gmpq& operator*=(long long z){return (*this)*= Gmpq(z);} Gmpq& operator/=(long long z){return (*this)/= Gmpq(z);} bool operator==(long long z) const {return (*this)== Gmpq(z);} bool operator< (long long z) const {return (*this)< Gmpq(z);} bool operator> (long long z) const {return (*this)> Gmpq(z);} // Interoperability with double Gmpq& operator+=(double d){return (*this)+= Gmpq(d);} Gmpq& operator-=(double d){return (*this)-= Gmpq(d);} Gmpq& operator*=(double d){return (*this)*= Gmpq(d);} Gmpq& operator/=(double d){return (*this)/= Gmpq(d);} bool operator==(double d) const {return (*this)== Gmpq(d);} bool operator< (double d) const {return (*this)< Gmpq(d);} bool operator> (double d) const {return (*this)> Gmpq(d);} // Interoperability with Gmpz Gmpq& operator+=(const Gmpz&); Gmpq& operator-=(const Gmpz&); Gmpq& operator*=(const Gmpz&); Gmpq& operator/=(const Gmpz&); bool operator==(const Gmpz &z) const {return (*this)== Gmpq(z);} bool operator< (const Gmpz &z) const {return (*this)< Gmpq(z);} bool operator> (const Gmpz &z) const {return (*this)> Gmpq(z);} // Interoperability with Gmpfr Gmpq& operator+=(const Gmpfr &f){return (*this)+= Gmpq(f);} Gmpq& operator-=(const Gmpfr &f){return (*this)-= Gmpq(f);} Gmpq& operator*=(const Gmpfr &f){return (*this)*= Gmpq(f);} Gmpq& operator/=(const Gmpfr &f){return (*this)/= Gmpq(f);} bool operator==(const Gmpfr &f) const {return mpfr_cmp_q(f.fr(),mpq())==0;} bool operator< (const Gmpfr &f) const {return mpfr_cmp_q(f.fr(),mpq())>0;} bool operator> (const Gmpfr &f) const {return mpfr_cmp_q(f.fr(),mpq())<0;} }; inline Gmpq Gmpq::operator-() const { Gmpq Res; mpq_neg(Res.mpq(), mpq()); return Res; } inline Gmpq Gmpq::operator+() const { return Gmpq(mpq()); } inline Gmpq operator+(const Gmpq &x, const Gmpq &y) { Gmpq Res; mpq_add(Res.mpq(), x.mpq(), y.mpq()); return Res; } inline Gmpq& Gmpq::operator+=(const Gmpq &z) { (*this + z).swap(*this); return *this; } inline Gmpq operator-(const Gmpq &x, const Gmpq &y) { Gmpq Res; mpq_sub(Res.mpq(), x.mpq(), y.mpq()); return Res; } inline Gmpq& Gmpq::operator-=(const Gmpq &z) { (*this - z).swap(*this); return *this; } inline Gmpq operator*(const Gmpq &x, const Gmpq &y) { Gmpq Res; mpq_mul(Res.mpq(), x.mpq(), y.mpq()); return Res; } inline Gmpq& Gmpq::operator*=(const Gmpq &z) { (*this * z).swap(*this); return *this; } inline Gmpq operator/(const Gmpq &x, const Gmpq &y) { CGAL_precondition(y != 0); Gmpq Res; mpq_div(Res.mpq(), x.mpq(), y.mpq()); return Res; } inline Gmpq& Gmpq::operator/=(const Gmpq &z) { (*this / z).swap(*this); return *this; } inline Gmpq& Gmpq::operator+=(const Gmpz &z){ if(unique()){ mpz_addmul(mpq_numref(mpq()),mpq_denref(mpq()),z.mpz()); }else{ Gmpq result; mpz_mul(mpq_numref(result.mpq()), mpq_denref(mpq()), z.mpz()); mpz_add(mpq_numref(result.mpq()), mpq_numref(mpq()), mpq_numref(result.mpq())); mpz_set(mpq_denref(result.mpq()),mpq_denref(mpq())); swap(result); } return *this; } inline Gmpq& Gmpq::operator-=(const Gmpz &z){ if(unique()){ mpz_submul(mpq_numref(mpq()),mpq_denref(mpq()),z.mpz()); }else{ Gmpq result; mpz_mul(mpq_numref(result.mpq()), mpq_denref(mpq()), z.mpz()); mpz_sub(mpq_numref(result.mpq()), mpq_numref(mpq()), mpq_numref(result.mpq())); mpz_set(mpq_denref(result.mpq()),mpq_denref(mpq())); swap(result); } return *this; } inline Gmpq& Gmpq::operator*=(const Gmpz &z){ if(unique()){ mpz_mul(mpq_numref(mpq()),mpq_numref(mpq()),z.mpz()); mpq_canonicalize(mpq()); }else{ Gmpq result; mpz_mul(mpq_numref(result.mpq()),mpq_numref(mpq()),z.mpz()); mpz_set(mpq_denref(result.mpq()),mpq_denref(mpq())); mpq_canonicalize(result.mpq()); swap(result); } return *this; } inline Gmpq& Gmpq::operator/=(const Gmpz &z){ if(unique()){ mpz_mul(mpq_denref(mpq()),mpq_denref(mpq()),z.mpz()); mpq_canonicalize(mpq()); }else{ Gmpq result; mpz_mul(mpq_denref(result.mpq()),mpq_denref(mpq()),z.mpz()); mpz_set(mpq_numref(result.mpq()),mpq_numref(mpq())); mpq_canonicalize(result.mpq()); swap(result); } return *this; } inline double Gmpq::to_double() const noexcept { return mpq_get_d(mpq()); } inline Sign Gmpq::sign() const noexcept { return static_cast(mpq_sgn(mpq())); } inline std::ostream& operator<<(std::ostream& os, const Gmpq &z) { os << z.numerator() << "/" << z.denominator(); return os; } // inline // std::istream& // operator>>(std::istream& is, Gmpq &z) // { // char c; // Gmpz n, d; // is >> n; // is >> c; // //CGAL_assertion(!is || c == '/'); // if (c != '/'){ // is.setstate(std::ios_base::failbit); // return is; // } // is >> d; // if (!is.fail()) { // z = Gmpq(n,d); // } // return is; // } inline std::istream& operator>>(std::istream& is, Gmpq &z) { internal::read_float_or_quotient(is, z); return is; } inline Gmpq min BOOST_PREVENT_MACRO_SUBSTITUTION(const Gmpq& x,const Gmpq& y){ return (x<=y)?x:y; } inline Gmpq max BOOST_PREVENT_MACRO_SUBSTITUTION(const Gmpq& x,const Gmpq& y){ return (x>=y)?x:y; } } //namespace CGAL #if defined(BOOST_MSVC) # pragma warning(pop) #endif #include #endif // CGAL_GMPQ_TYPE_H