/* Copyright (c) 2013 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Soonho Kong */ #pragma once #include #include #include "mpz.h" #include "mpq.h" #include "mpbq.h" namespace lean { /** \brief Wrapper for MPFR */ class mpfp { mpfr_t m_val; // static mpfr_t const & zval(mpz const & v) { return v.m_val; } // static mpfr_t & zval(mpz & v) { return v.m_val; } public: // friend void swap(mpfp & a, mpfp & b) { mpfr_swap(a.m_val, b.m_val); } // friend void swap_numerator(mpfp & a, mpz & b) { mpz_swap(mpfr_numref(a.m_val), zval(b)); mpfr_canonicalize(a.m_val); } // friend void swap_denominator(mpfp & a, mpz & b) { mpz_swap(mpfr_denref(a.m_val), zval(b)); mpfr_canonicalize(a.m_val); } // Setter functions mpfp & set(mpfp const & v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set(m_val, v.m_val, MPFR_RNDN); return *this; } mpfp & set(unsigned long int const v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_ui(m_val, v, MPFR_RNDN); return *this; } mpfp & set(long int const v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_si(m_val, v, MPFR_RNDN); return *this; } mpfp & set(float const v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_flt(m_val, v, MPFR_RNDN); return *this; } mpfp & set(double const v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_d(m_val, v, MPFR_RNDN); return *this; } mpfp & set(long double const v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_ld(m_val, v, MPFR_RNDN); return *this; } mpfp & set(mpz_t const & v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_z(m_val, v, MPFR_RNDN); return *this; } mpfp & set(mpq_t const & v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_q(m_val, v, MPFR_RNDN); return *this; } mpfp & set(mpf_t const & v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_f(m_val, v, MPFR_RNDN); return *this; } mpfp & set(mpz const & v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_z(m_val, v.m_val, MPFR_RNDN); return *this; } mpfp & set(mpq const & v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_q(m_val, v.m_val, MPFR_RNDN); return *this; } mpfp & set(mpbq const & v, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_set_z(m_val, v.m_num.m_val, rnd); // this = m_num mpfr_div_2ui(m_val, m_val, v.m_k, rnd); // this = m_num / (2^k) return *this; } // Assignment operators mpfp & operator=(mpfp const & v) { return set(v); } mpfp & operator=(unsigned long int const v) { return set(v); } mpfp & operator=(long int const v) { return set(v); } mpfp & operator=(float const v) { return set(v); } mpfp & operator=(double const v) { return set(v); } mpfp & operator=(long double const v) { return set(v); } mpfp & operator=(mpz_t const & v) { return set(v); } mpfp & operator=(mpq_t const & v) { return set(v); } mpfp & operator=(mpf_t const & v) { return set(v); } mpfp & operator=(mpz const & v) { return set(v); } mpfp & operator=(mpq const & v) { return set(v); } mpfp & operator=(mpbq const & v) { return set(v); } // Basic Constructors mpfp() { mpfr_init(m_val); } // with default precision mpfp(mpfr_prec_t prec) { mpfr_init2(m_val, prec); } // Constructors using the default precision mpfp(float const v ):mpfp() { set(v); } mpfp(double const v ):mpfp() { set(v); } mpfp(long double const v):mpfp() { set(v); } mpfp(mpz_t const & v ):mpfp() { set(v); } mpfp(mpq_t const & v ):mpfp() { set(v); } mpfp(mpf_t const & v ):mpfp() { set(v); } mpfp(mpz const & v ):mpfp() { set(v); } mpfp(mpq const & v ):mpfp() { set(v); } mpfp(mpbq const & v ):mpfp() { set(v); } mpfp(mpfp const & v ):mpfp(mpfr_get_prec(v.m_val)) { set(v); } // Constructors using the provided precision mpfp(float const v , mpfr_prec_t p):mpfp(p) { set(v); } mpfp(double const v , mpfr_prec_t p):mpfp(p) { set(v); } mpfp(long double const v, mpfr_prec_t p):mpfp(p) { set(v); } mpfp(mpz_t const & v , mpfr_prec_t p):mpfp(p) { set(v); } mpfp(mpq_t const & v , mpfr_prec_t p):mpfp(p) { set(v); } mpfp(mpf_t const & v , mpfr_prec_t p):mpfp(p) { set(v); } mpfp(mpz const & v , mpfr_prec_t p):mpfp(p) { set(v); } mpfp(mpq const & v , mpfr_prec_t p):mpfp(p) { set(v); } mpfp(mpbq const & v , mpfr_prec_t p):mpfp(p) { set(v); } mpfp(mpfp const & v , mpfr_prec_t p):mpfp(p) { set(v); } // Constructors using the provided precision and rounding mode mpfp(float const v , mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } mpfp(double const v , mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } mpfp(long double const v, mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } mpfp(mpz_t const & v , mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } mpfp(mpq_t const & v , mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } mpfp(mpf_t const & v , mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } mpfp(mpz const & v , mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } mpfp(mpq const & v , mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } mpfp(mpbq const & v , mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } mpfp(mpfp const & v , mpfr_prec_t p, mpfr_rnd_t rnd):mpfp(p) { set(v, rnd); } // mpfr(mpfp && s):mpfr() { mpfr_swap(m_val, s.m_val); } // template explicit mpfr(T const & v):mpfr() { operator=(v); } // mpfr(unsigned long int n, unsigned long int d):mpfr() { mpfr_set_ui(m_val, n, d); mpfr_canonicalize(m_val);} ~mpfp() { mpfr_clear(m_val); } unsigned hash() const { return static_cast(mpfr_get_si(m_val, MPFR_RNDN)); } int sgn() const { return mpfr_sgn(m_val); } friend int sgn(mpfp const & a) { return a.sgn(); } bool is_pos() const { return sgn() > 0; } bool is_neg() const { return sgn() < 0; } bool is_zero() const { return sgn() == 0; } bool is_nonpos() const { return !is_pos(); } bool is_nonneg() const { return !is_neg(); } void neg() { mpfr_neg(m_val, m_val, MPFR_RNDN); } friend mpfp neg(mpfp a) { a.neg(); return a; } // Math functions and theirs friend functions void abs(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_abs(m_val, m_val, rnd); } void exp(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_exp(m_val, m_val, rnd); } void exp2(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_exp2(m_val, m_val, rnd); } void exp10(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_exp10(m_val, m_val, rnd); } void log(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_log(m_val, m_val, rnd); } void log2(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_log2(m_val, m_val, rnd); } void log10(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_log10(m_val, m_val, rnd); } void sin(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_sin(m_val, m_val, rnd); } void cos(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_cos(m_val, m_val, rnd); } void tan(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_tan(m_val, m_val, rnd); } void sec(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_sec(m_val, m_val, rnd); } void csc(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_csc(m_val, m_val, rnd); } void cot(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_cot(m_val, m_val, rnd); } void asin(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_asin(m_val, m_val, rnd); } void acos(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_acos(m_val, m_val, rnd); } void atan(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_atan(m_val, m_val, rnd); } void sinh(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_sinh(m_val, m_val, rnd); } void cosh(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_cosh(m_val, m_val, rnd); } void tanh(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_tanh(m_val, m_val, rnd); } void asinh(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_asinh(m_val, m_val, rnd); } void acosh(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_acosh(m_val, m_val, rnd); } void atanh(mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_atanh(m_val, m_val, rnd); } friend mpfp abs(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.abs(rnd); return a; } friend mpfp exp(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.exp(rnd); return a; } friend mpfp exp2(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.exp2(rnd); return a; } friend mpfp exp10(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.exp10(rnd); return a; } friend mpfp log(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.log(rnd); return a; } friend mpfp log2(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.log2(rnd); return a; } friend mpfp log10(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.log10(rnd); return a; } friend mpfp sin(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.sin(rnd); return a; } friend mpfp cos(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.cos(rnd); return a; } friend mpfp tan(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.tan(rnd); return a; } friend mpfp sec(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.sec(rnd); return a; } friend mpfp csc(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.csc(rnd); return a; } friend mpfp cot(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.cot(rnd); return a; } friend mpfp asin(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.asin(rnd); return a; } friend mpfp acos(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.acos(rnd); return a; } friend mpfp atan(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.atan(rnd); return a; } friend mpfp sinh(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.sinh(rnd); return a; } friend mpfp cosh(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.cosh(rnd); return a; } friend mpfp tanh(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.tanh(rnd); return a; } friend mpfp asinh(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.asinh(rnd); return a; } friend mpfp acosh(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.acosh(rnd); return a; } friend mpfp atanh(mpfp a, mpfr_rnd_t rnd = MPFR_RNDN) { a.atanh(rnd); return a; } // void inv() { mpfr_inv(m_val, m_val, MPFR_RNDN); } // friend mpfp inv(mpfp a) { a.inv(); return a; } double get_double(mpfr_rnd_t rnd = MPFR_RNDN) const { return mpfr_get_d(m_val, rnd); } float get_float (mpfr_rnd_t rnd = MPFR_RNDN) const { return mpfr_get_flt(m_val, rnd); } // bool is_integer() const { return mpz_cmp_ui(mpfr_denref(m_val), 1u) == 0; } friend int cmp(mpfp const & a, mpfp const & b ) { return mpfr_cmp(a.m_val, b.m_val); } // friend int cmp(mpfp const & a, mpz const & b); friend int cmp(mpfp const & a, unsigned long int const b) { return mpfr_cmp_ui(a.m_val, b); } friend int cmp(mpfp const & a, long int const b ) { return mpfr_cmp_si(a.m_val, b); } friend int cmp(mpfp const & a, double const b ) { return mpfr_cmp_d (a.m_val, b); } friend int cmp(mpfp const & a, long double const b ) { return mpfr_cmp_ld(a.m_val, b); } friend int cmp(mpfp const & a, mpz_t const & b ) { return mpfr_cmp_z (a.m_val, b); } friend int cmp(mpfp const & a, mpq_t const & b ) { return mpfr_cmp_q (a.m_val, b); } friend int cmp(mpfp const & a, mpf_t const & b ) { return mpfr_cmp_f (a.m_val, b); } /* TODO */ // friend int cmp(mpfp const & a, mpz const & b) { return mpfr_cmp_(a.m_val, b); } // friend int cmp(mpfp const & a, mpq const & b) { return mpfr_cmp_(a.m_val, b); } // friend int cmp(mpfp const & a, mpbq const & b) { return mpfr_cmp_(a.m_val, b); } friend bool operator<(mpfp const & a, mpfp const & b ) { return cmp(a, b) < 0; } friend bool operator<(mpfp const & a, mpz const & b ) { return cmp(a, b) < 0; } friend bool operator<(mpfp const & a, unsigned long int const b) { return cmp(a, b) < 0; } friend bool operator<(mpfp const & a, long int const b ) { return cmp(a, b) < 0; } friend bool operator<(mpfp const & a, double const b ) { return cmp(a, b) < 0; } friend bool operator<(mpfp const & a, long double const b ) { return cmp(a, b) < 0; } friend bool operator<(mpfp const & a, mpz_t const & b ) { return cmp(a, b) < 0; } friend bool operator<(mpfp const & a, mpq_t const & b ) { return cmp(a, b) < 0; } friend bool operator<(mpfp const & a, mpf_t const & b ) { return cmp(a, b) < 0; } friend bool operator<(mpz const & a , mpfp const & b) { return cmp(b, a) > 0; } friend bool operator<(unsigned long int const a, mpfp const & b) { return cmp(b, a) > 0; } friend bool operator<(long int const a , mpfp const & b) { return cmp(b, a) > 0; } friend bool operator<(double const a , mpfp const & b) { return cmp(b, a) > 0; } friend bool operator<(long double const a , mpfp const & b) { return cmp(b, a) > 0; } friend bool operator<(mpz_t const & a , mpfp const & b) { return cmp(b, a) > 0; } friend bool operator<(mpq_t const & a , mpfp const & b) { return cmp(b, a) > 0; } friend bool operator<(mpf_t const & a , mpfp const & b) { return cmp(b, a) > 0; } friend bool operator>(mpfp const & a, mpfp const & b ) { return cmp(a, b) > 0; } friend bool operator>(mpfp const & a, mpz const & b ) { return cmp(a, b) > 0; } friend bool operator>(mpfp const & a, unsigned long int const b) { return cmp(a, b) > 0; } friend bool operator>(mpfp const & a, long int const b ) { return cmp(a, b) > 0; } friend bool operator>(mpfp const & a, double const b ) { return cmp(a, b) > 0; } friend bool operator>(mpfp const & a, long double const b ) { return cmp(a, b) > 0; } friend bool operator>(mpfp const & a, mpz_t const & b ) { return cmp(a, b) > 0; } friend bool operator>(mpfp const & a, mpq_t const & b ) { return cmp(a, b) > 0; } friend bool operator>(mpfp const & a, mpf_t const & b ) { return cmp(a, b) > 0; } friend bool operator>(mpz const & a , mpfp const & b) { return cmp(b, a) < 0; } friend bool operator>(unsigned long int const a, mpfp const & b) { return cmp(b, a) < 0; } friend bool operator>(long int const a , mpfp const & b) { return cmp(b, a) < 0; } friend bool operator>(double const a , mpfp const & b) { return cmp(b, a) < 0; } friend bool operator>(long double const a , mpfp const & b) { return cmp(b, a) < 0; } friend bool operator>(mpz_t const & a , mpfp const & b) { return cmp(b, a) < 0; } friend bool operator>(mpq_t const & a , mpfp const & b) { return cmp(b, a) < 0; } friend bool operator>(mpf_t const & a , mpfp const & b) { return cmp(b, a) < 0; } friend bool operator<=(mpfp const & a, mpfp const & b ) { return cmp(a, b) <= 0; } friend bool operator<=(mpfp const & a, mpz const & b ) { return cmp(a, b) <= 0; } friend bool operator<=(mpfp const & a, unsigned long int const b) { return cmp(a, b) <= 0; } friend bool operator<=(mpfp const & a, long int const b ) { return cmp(a, b) <= 0; } friend bool operator<=(mpfp const & a, double const b ) { return cmp(a, b) <= 0; } friend bool operator<=(mpfp const & a, long double const b ) { return cmp(a, b) <= 0; } friend bool operator<=(mpfp const & a, mpz_t const & b ) { return cmp(a, b) <= 0; } friend bool operator<=(mpfp const & a, mpq_t const & b ) { return cmp(a, b) <= 0; } friend bool operator<=(mpfp const & a, mpf_t const & b ) { return cmp(a, b) <= 0; } friend bool operator<=(mpz const & a , mpfp const & b) { return cmp(b, a) >= 0; } friend bool operator<=(unsigned long int const a, mpfp const & b) { return cmp(b, a) >= 0; } friend bool operator<=(long int const a , mpfp const & b) { return cmp(b, a) >= 0; } friend bool operator<=(double const a , mpfp const & b) { return cmp(b, a) >= 0; } friend bool operator<=(long double const a , mpfp const & b) { return cmp(b, a) >= 0; } friend bool operator<=(mpz_t const & a , mpfp const & b) { return cmp(b, a) >= 0; } friend bool operator<=(mpq_t const & a , mpfp const & b) { return cmp(b, a) >= 0; } friend bool operator<=(mpf_t const & a , mpfp const & b) { return cmp(b, a) >= 0; } friend bool operator>=(mpfp const & a, mpfp const & b ) { return cmp(a, b) >= 0; } friend bool operator>=(mpfp const & a, mpz const & b ) { return cmp(a, b) >= 0; } friend bool operator>=(mpfp const & a, unsigned long int const b) { return cmp(a, b) >= 0; } friend bool operator>=(mpfp const & a, long int const b ) { return cmp(a, b) >= 0; } friend bool operator>=(mpfp const & a, double const b ) { return cmp(a, b) >= 0; } friend bool operator>=(mpfp const & a, long double const b ) { return cmp(a, b) >= 0; } friend bool operator>=(mpfp const & a, mpz_t const & b ) { return cmp(a, b) >= 0; } friend bool operator>=(mpfp const & a, mpq_t const & b ) { return cmp(a, b) >= 0; } friend bool operator>=(mpfp const & a, mpf_t const & b ) { return cmp(a, b) >= 0; } friend bool operator>=(mpz const & a , mpfp const & b) { return cmp(b, a) <= 0; } friend bool operator>=(unsigned long int const a, mpfp const & b) { return cmp(b, a) <= 0; } friend bool operator>=(long int const a , mpfp const & b) { return cmp(b, a) <= 0; } friend bool operator>=(double const a , mpfp const & b) { return cmp(b, a) <= 0; } friend bool operator>=(long double const a , mpfp const & b) { return cmp(b, a) <= 0; } friend bool operator>=(mpz_t const & a , mpfp const & b) { return cmp(b, a) <= 0; } friend bool operator>=(mpq_t const & a , mpfp const & b) { return cmp(b, a) <= 0; } friend bool operator>=(mpf_t const & a , mpfp const & b) { return cmp(b, a) <= 0; } friend bool operator==(mpfp const & a, mpfp const & b) { return mpfr_equal_p(a.m_val, b.m_val) != 0; } // friend bool operator==(mpfp const & a, mpz const & b) { return a.is_integer() && mpz_cmp(mpfr_numref(a.m_val), zval(b)) == 0; } // friend bool operator==(mpfp const & a, unsigned int b) { return a.is_integer() && mpz_cmp_ui(mpfr_numref(a.m_val), b) == 0; } // friend bool operator==(mpfp const & a, int b) { return a.is_integer() && mpz_cmp_si(mpfr_numref(a.m_val), b) == 0; } // friend bool operator==(mpz const & a, mpfp const & b) { return operator==(b, a); } // friend bool operator==(unsigned int a, mpfp const & b) { return operator==(b, a); } // friend bool operator==(int a, mpfp const & b) { return operator==(b, a); } friend bool operator!=(mpfp const & a, mpfp const & b) { return !operator==(a,b); } // friend bool operator!=(mpfp const & a, mpz const & b) { return !operator==(a,b); } // friend bool operator!=(mpfp const & a, unsigned int b) { return !operator==(a,b); } // friend bool operator!=(mpfp const & a, int b) { return !operator==(a,b); } // friend bool operator!=(mpz const & a, mpfp const & b) { return !operator==(a,b); } // friend bool operator!=(unsigned int a, mpfp const & b) { return !operator==(a,b); } // friend bool operator!=(int a, mpfp const & b) { return !operator==(a,b); } mpfp & add(mpfp const & o, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_add(m_val, m_val, o.m_val, rnd); return *this; } mpfp & operator+=(mpfp const & o) { return add(o); } // mpfp & operator+=(mpz const & o) { mpz_addmul(mpfr_numref(m_val), mpfr_denref(m_val), o.m_val); mpfr_canonicalize(m_val); return *this; } // mpfp & operator+=(unsigned int k) { mpz_addmul_ui(mpfr_numref(m_val), mpfr_denref(m_val), k); mpfr_canonicalize(m_val); return *this; } // mpfp & operator+=(int k) { if (k >= 0) return operator+=(static_cast(k)); else return operator-=(static_cast(-k)); } mpfp & sub(mpfp const & o, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_sub(m_val, m_val, o.m_val, rnd); return *this; } mpfp & operator-=(mpfp const & o) { return sub(o); } // mpfp & operator-=(mpz const & o) { mpz_submul(mpfr_numref(m_val), mpfr_denref(m_val), o.m_val); mpfr_canonicalize(m_val); return *this; } // mpfp & operator-=(unsigned int k) { mpz_submul_ui(mpfr_numref(m_val), mpfr_denref(m_val), k); mpfr_canonicalize(m_val); return *this; } // mpfp & operator-=(int k) { if (k >= 0) return operator-=(static_cast(k)); else return operator+=(static_cast(-k)); } mpfp & mul(mpfp const & o, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_mul(m_val, m_val, o.m_val, rnd); return *this; } mpfp & operator*=(mpfp const & o) { return mul(o); } // mpfp & operator*=(mpz const & o) { mpz_mul(mpfr_numref(m_val), mpfr_numref(m_val), o.m_val); mpfr_canonicalize(m_val); return *this; } // mpfp & operator*=(unsigned int k) { mpz_mul_ui(mpfr_numref(m_val), mpfr_numref(m_val), k); mpfr_canonicalize(m_val); return *this; } // mpfp & operator*=(int k) { mpz_mul_si(mpfr_numref(m_val), mpfr_numref(m_val), k); mpfr_canonicalize(m_val); return *this; } mpfp & div(mpfp const & o, mpfr_rnd_t rnd = MPFR_RNDN) { mpfr_div(m_val, m_val, o.m_val, rnd); return *this; } mpfp & operator/=(mpfp const & o) { return div(o); } // mpfp & operator/=(mpz const & o) { mpz_mul(mpfr_denref(m_val), mpfr_denref(m_val), o.m_val); mpfr_canonicalize(m_val); return *this; } // mpfp & operator/=(unsigned int k) { mpz_mul_ui(mpfr_denref(m_val), mpfr_denref(m_val), k); mpfr_canonicalize(m_val); return *this; } // mpfp & operator/=(int k) { mpz_mul_si(mpfr_denref(m_val), mpfr_denref(m_val), k); mpfr_canonicalize(m_val); return *this; } friend mpfp operator+(mpfp a, mpfp const & b) { return a += b; } // friend mpfp operator+(mpfp a, mpz const & b) { return a += b; } // friend mpfp operator+(mpfp a, unsigned b) { return a += b; } // friend mpfp operator+(mpfp a, int b) { return a += b; } // friend mpfp operator+(mpz const & a, mpfp b) { return b += a; } // friend mpfp operator+(unsigned a, mpfp b) { return b += a; } // friend mpfp operator+(int a, mpfp b) { return b += a; } friend mpfp operator-(mpfp a, mpfp const & b) { return a -= b; } // friend mpfp operator-(mpfp a, mpz const & b) { return a -= b; } // friend mpfp operator-(mpfp a, unsigned b) { return a -= b; } // friend mpfp operator-(mpfp a, int b) { return a -= b; } // friend mpfp operator-(mpz const & a, mpfp b) { b.neg(); return b += a; } // friend mpfp operator-(unsigned a, mpfp b) { b.neg(); return b += a; } // friend mpfp operator-(int a, mpfp b) { b.neg(); return b += a; } friend mpfp operator*(mpfp a, mpfp const & b) { return a *= b; } // friend mpfp operator*(mpfp a, mpz const & b) { return a *= b; } // friend mpfp operator*(mpfp a, unsigned b) { return a *= b; } // friend mpfp operator*(mpfp a, int b) { return a *= b; } // friend mpfp operator*(mpz const & a, mpfp b) { return b *= a; } // friend mpfp operator*(unsigned a, mpfp b) { return b *= a; } // friend mpfp operator*(int a, mpfp b) { return b *= a; } friend mpfp operator/(mpfp a, mpfp const & b) { return a /= b; } // friend mpfp operator/(mpfp a, mpz const & b) { return a /= b; } // friend mpfp operator/(mpfp a, unsigned b) { return a /= b; } // friend mpfp operator/(mpfp a, int b) { return a /= b; } // friend mpfp operator/(mpz const & a, mpfp b) { b.inv(); return b *= a; } // friend mpfp operator/(unsigned a, mpfp b) { b.inv(); return b *= a; } // friend mpfp operator/(int a, mpfp b) { b.inv(); return b *= a; } // mpfp & operator++() { return operator+=(1); } // mpfp operator++(int) { mpfp r(*this); ++(*this); return r; } // mpfp & operator--() { return operator-=(1); } // mpfp operator--(int) { mpfp r(*this); --(*this); return r; } // void floor(); // friend mpz floor(mpfp const & a); // void ceil(); // friend mpz ceil(mpfp const & a); // friend void power(mpfp & a, mpfp const & b, unsigned k); // friend void _power(mpfp & a, mpfp const & b, unsigned k) { power(a, b, k); } // friend mpfp power(mpfp a, unsigned k) { power(a, a, k); return a; } friend std::ostream & operator<<(std::ostream & out, mpfp const & v); // friend void display_decimal(std::ostream & out, mpfp const & a, unsigned prec); // class decimal { // mpfp const & m_val; // unsigned m_prec; // public: // decimal(mpfp const & val, unsigned prec = 10):m_val(val), m_prec(prec) {} // friend std::ostream & operator<<(std::ostream & out, decimal const & d) { display_decimal(out, d.m_val, d.m_prec); return out; } // }; }; template<> class numeric_traits { public: static bool precise() { return true; } static bool is_zero(mpfp const & v) { return v.is_zero(); } static bool is_pos(mpfp const & v) { return v.is_pos(); } static bool is_neg(mpfp const & v) { return v.is_neg(); } static void set_rounding(bool plus_inf) {} static void neg(mpfp & v) { v.neg(); } // static void inv(mpfp & v) { v.inv(); } // static void reset(mpfp & v) { v = 0; } // v <- v^k // static void power(mpfp & v, unsigned k) { _power(v, v, k); } }; }