aboutsummaryrefslogtreecommitdiff
path: root/unsupported/test/mpreal/mpreal.h
diff options
context:
space:
mode:
Diffstat (limited to 'unsupported/test/mpreal/mpreal.h')
-rw-r--r--unsupported/test/mpreal/mpreal.h3104
1 files changed, 0 insertions, 3104 deletions
diff --git a/unsupported/test/mpreal/mpreal.h b/unsupported/test/mpreal/mpreal.h
deleted file mode 100644
index 8404f1ff8..000000000
--- a/unsupported/test/mpreal/mpreal.h
+++ /dev/null
@@ -1,3104 +0,0 @@
-/*
- MPFR C++: Multi-precision floating point number class for C++.
- Based on MPFR library: http://mpfr.org
-
- Project homepage: http://www.holoborodko.com/pavel/mpfr
- Contact e-mail: pavel@holoborodko.com
-
- Copyright (c) 2008-2015 Pavel Holoborodko
-
- Contributors:
- Dmitriy Gubanov, Konstantin Holoborodko, Brian Gladman,
- Helmut Jarausch, Fokko Beekhof, Ulrich Mutze, Heinz van Saanen,
- Pere Constans, Peter van Hoof, Gael Guennebaud, Tsai Chia Cheng,
- Alexei Zubanov, Jauhien Piatlicki, Victor Berger, John Westwood,
- Petr Aleksandrov, Orion Poplawski, Charles Karney, Arash Partow,
- Rodney James, Jorge Leitao.
-
- Licensing:
- (A) MPFR C++ is under GNU General Public License ("GPL").
-
- (B) Non-free licenses may also be purchased from the author, for users who
- do not want their programs protected by the GPL.
-
- The non-free licenses are for users that wish to use MPFR C++ in
- their products but are unwilling to release their software
- under the GPL (which would require them to release source code
- and allow free redistribution).
-
- Such users can purchase an unlimited-use license from the author.
- Contact us for more details.
-
- GNU General Public License ("GPL") copyright permissions statement:
- **************************************************************************
- This program is free software: you can redistribute it and/or modify
- it under the terms of the GNU General Public License as published by
- the Free Software Foundation, either version 3 of the License, or
- (at your option) any later version.
-
- This program is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- GNU General Public License for more details.
-
- You should have received a copy of the GNU General Public License
- along with this program. If not, see <http://www.gnu.org/licenses/>.
-*/
-
-#ifndef __MPREAL_H__
-#define __MPREAL_H__
-
-#include <string>
-#include <iostream>
-#include <sstream>
-#include <stdexcept>
-#include <cfloat>
-#include <cmath>
-#include <cstring>
-#include <limits>
-#include <complex>
-#include <algorithm>
-
-// Options
-#define MPREAL_HAVE_MSVC_DEBUGVIEW // Enable Debugger Visualizer for "Debug" builds in MSVC.
-#define MPREAL_HAVE_DYNAMIC_STD_NUMERIC_LIMITS // Enable extended std::numeric_limits<mpfr::mpreal> specialization.
- // Meaning that "digits", "round_style" and similar members are defined as functions, not constants.
- // See std::numeric_limits<mpfr::mpreal> at the end of the file for more information.
-
-// Library version
-#define MPREAL_VERSION_MAJOR 3
-#define MPREAL_VERSION_MINOR 6
-#define MPREAL_VERSION_PATCHLEVEL 2
-#define MPREAL_VERSION_STRING "3.6.2"
-
-// Detect compiler using signatures from http://predef.sourceforge.net/
-#if defined(__GNUC__)
- #define IsInf(x) (isinf)(x) // GNU C++/Intel ICC compiler on Linux
-#elif defined(_MSC_VER) // Microsoft Visual C++
- #define IsInf(x) (!_finite(x))
-#else
- #define IsInf(x) (std::isinf)(x) // GNU C/C++ (and/or other compilers), just hope for C99 conformance
-#endif
-
-// A Clang feature extension to determine compiler features.
-#ifndef __has_feature
- #define __has_feature(x) 0
-#endif
-
-// Detect support for r-value references (move semantic). Borrowed from Eigen.
-#if (__has_feature(cxx_rvalue_references) || \
- defined(__GXX_EXPERIMENTAL_CXX0X__) || __cplusplus >= 201103L || \
- (defined(_MSC_VER) && _MSC_VER >= 1600))
-
- #define MPREAL_HAVE_MOVE_SUPPORT
-
- // Use fields in mpfr_t structure to check if it was initialized / set dummy initialization
- #define mpfr_is_initialized(x) (0 != (x)->_mpfr_d)
- #define mpfr_set_uninitialized(x) ((x)->_mpfr_d = 0 )
-#endif
-
-// Detect support for explicit converters.
-#if (__has_feature(cxx_explicit_conversions) || \
- (defined(__GXX_EXPERIMENTAL_CXX0X__) && __GNUC_MINOR__ >= 5) || __cplusplus >= 201103L || \
- (defined(_MSC_VER) && _MSC_VER >= 1800))
-
- #define MPREAL_HAVE_EXPLICIT_CONVERTERS
-#endif
-
-#define MPFR_USE_INTMAX_T // Enable 64-bit integer types - should be defined before mpfr.h
-
-#if defined(MPREAL_HAVE_MSVC_DEBUGVIEW) && defined(_MSC_VER) && defined(_DEBUG)
- #define MPREAL_MSVC_DEBUGVIEW_CODE DebugView = toString();
- #define MPREAL_MSVC_DEBUGVIEW_DATA std::string DebugView;
-#else
- #define MPREAL_MSVC_DEBUGVIEW_CODE
- #define MPREAL_MSVC_DEBUGVIEW_DATA
-#endif
-
-#include <mpfr.h>
-
-#if (MPFR_VERSION < MPFR_VERSION_NUM(3,0,0))
- #include <cstdlib> // Needed for random()
-#endif
-
-// Less important options
-#define MPREAL_DOUBLE_BITS_OVERFLOW -1 // Triggers overflow exception during conversion to double if mpreal
- // cannot fit in MPREAL_DOUBLE_BITS_OVERFLOW bits
- // = -1 disables overflow checks (default)
-
-// Fast replacement for mpfr_set_zero(x, +1):
-// (a) uses low-level data members, might not be compatible with new versions of MPFR
-// (b) sign is not set, add (x)->_mpfr_sign = 1;
-#define mpfr_set_zero_fast(x) ((x)->_mpfr_exp = __MPFR_EXP_ZERO)
-
-#if defined(__GNUC__)
- #define MPREAL_PERMISSIVE_EXPR __extension__
-#else
- #define MPREAL_PERMISSIVE_EXPR
-#endif
-
-namespace mpfr {
-
-class mpreal {
-private:
- mpfr_t mp;
-
-public:
-
- // Get default rounding mode & precision
- inline static mp_rnd_t get_default_rnd() { return (mp_rnd_t)(mpfr_get_default_rounding_mode()); }
- inline static mp_prec_t get_default_prec() { return mpfr_get_default_prec(); }
-
- // Constructors && type conversions
- mpreal();
- mpreal(const mpreal& u);
- mpreal(const mpf_t u);
- mpreal(const mpz_t u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const mpq_t u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const double u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const long double u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const unsigned long long int u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const long long int u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const unsigned long int u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const unsigned int u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const long int u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const int u, mp_prec_t prec = mpreal::get_default_prec(), mp_rnd_t mode = mpreal::get_default_rnd());
-
- // Construct mpreal from mpfr_t structure.
- // shared = true allows to avoid deep copy, so that mpreal and 'u' share the same data & pointers.
- mpreal(const mpfr_t u, bool shared = false);
-
- mpreal(const char* s, mp_prec_t prec = mpreal::get_default_prec(), int base = 10, mp_rnd_t mode = mpreal::get_default_rnd());
- mpreal(const std::string& s, mp_prec_t prec = mpreal::get_default_prec(), int base = 10, mp_rnd_t mode = mpreal::get_default_rnd());
-
- ~mpreal();
-
-#ifdef MPREAL_HAVE_MOVE_SUPPORT
- mpreal& operator=(mpreal&& v);
- mpreal(mpreal&& u);
-#endif
-
- // Operations
- // =
- // +, -, *, /, ++, --, <<, >>
- // *=, +=, -=, /=,
- // <, >, ==, <=, >=
-
- // =
- mpreal& operator=(const mpreal& v);
- mpreal& operator=(const mpf_t v);
- mpreal& operator=(const mpz_t v);
- mpreal& operator=(const mpq_t v);
- mpreal& operator=(const long double v);
- mpreal& operator=(const double v);
- mpreal& operator=(const unsigned long int v);
- mpreal& operator=(const unsigned long long int v);
- mpreal& operator=(const long long int v);
- mpreal& operator=(const unsigned int v);
- mpreal& operator=(const long int v);
- mpreal& operator=(const int v);
- mpreal& operator=(const char* s);
- mpreal& operator=(const std::string& s);
- template <typename real_t> mpreal& operator= (const std::complex<real_t>& z);
-
- // +
- mpreal& operator+=(const mpreal& v);
- mpreal& operator+=(const mpf_t v);
- mpreal& operator+=(const mpz_t v);
- mpreal& operator+=(const mpq_t v);
- mpreal& operator+=(const long double u);
- mpreal& operator+=(const double u);
- mpreal& operator+=(const unsigned long int u);
- mpreal& operator+=(const unsigned int u);
- mpreal& operator+=(const long int u);
- mpreal& operator+=(const int u);
-
- mpreal& operator+=(const long long int u);
- mpreal& operator+=(const unsigned long long int u);
- mpreal& operator-=(const long long int u);
- mpreal& operator-=(const unsigned long long int u);
- mpreal& operator*=(const long long int u);
- mpreal& operator*=(const unsigned long long int u);
- mpreal& operator/=(const long long int u);
- mpreal& operator/=(const unsigned long long int u);
-
- const mpreal operator+() const;
- mpreal& operator++ ();
- const mpreal operator++ (int);
-
- // -
- mpreal& operator-=(const mpreal& v);
- mpreal& operator-=(const mpz_t v);
- mpreal& operator-=(const mpq_t v);
- mpreal& operator-=(const long double u);
- mpreal& operator-=(const double u);
- mpreal& operator-=(const unsigned long int u);
- mpreal& operator-=(const unsigned int u);
- mpreal& operator-=(const long int u);
- mpreal& operator-=(const int u);
- const mpreal operator-() const;
- friend const mpreal operator-(const unsigned long int b, const mpreal& a);
- friend const mpreal operator-(const unsigned int b, const mpreal& a);
- friend const mpreal operator-(const long int b, const mpreal& a);
- friend const mpreal operator-(const int b, const mpreal& a);
- friend const mpreal operator-(const double b, const mpreal& a);
- mpreal& operator-- ();
- const mpreal operator-- (int);
-
- // *
- mpreal& operator*=(const mpreal& v);
- mpreal& operator*=(const mpz_t v);
- mpreal& operator*=(const mpq_t v);
- mpreal& operator*=(const long double v);
- mpreal& operator*=(const double v);
- mpreal& operator*=(const unsigned long int v);
- mpreal& operator*=(const unsigned int v);
- mpreal& operator*=(const long int v);
- mpreal& operator*=(const int v);
-
- // /
- mpreal& operator/=(const mpreal& v);
- mpreal& operator/=(const mpz_t v);
- mpreal& operator/=(const mpq_t v);
- mpreal& operator/=(const long double v);
- mpreal& operator/=(const double v);
- mpreal& operator/=(const unsigned long int v);
- mpreal& operator/=(const unsigned int v);
- mpreal& operator/=(const long int v);
- mpreal& operator/=(const int v);
- friend const mpreal operator/(const unsigned long int b, const mpreal& a);
- friend const mpreal operator/(const unsigned int b, const mpreal& a);
- friend const mpreal operator/(const long int b, const mpreal& a);
- friend const mpreal operator/(const int b, const mpreal& a);
- friend const mpreal operator/(const double b, const mpreal& a);
-
- //<<= Fast Multiplication by 2^u
- mpreal& operator<<=(const unsigned long int u);
- mpreal& operator<<=(const unsigned int u);
- mpreal& operator<<=(const long int u);
- mpreal& operator<<=(const int u);
-
- //>>= Fast Division by 2^u
- mpreal& operator>>=(const unsigned long int u);
- mpreal& operator>>=(const unsigned int u);
- mpreal& operator>>=(const long int u);
- mpreal& operator>>=(const int u);
-
- // Type Conversion operators
- bool toBool ( ) const;
- long toLong (mp_rnd_t mode = GMP_RNDZ) const;
- unsigned long toULong (mp_rnd_t mode = GMP_RNDZ) const;
- long long toLLong (mp_rnd_t mode = GMP_RNDZ) const;
- unsigned long long toULLong (mp_rnd_t mode = GMP_RNDZ) const;
- float toFloat (mp_rnd_t mode = GMP_RNDN) const;
- double toDouble (mp_rnd_t mode = GMP_RNDN) const;
- long double toLDouble (mp_rnd_t mode = GMP_RNDN) const;
-
-#if defined (MPREAL_HAVE_EXPLICIT_CONVERTERS)
- explicit operator bool () const { return toBool(); }
- explicit operator int () const { return int(toLong()); }
- explicit operator long () const { return toLong(); }
- explicit operator long long () const { return toLLong(); }
- explicit operator unsigned () const { return unsigned(toULong()); }
- explicit operator unsigned long () const { return toULong(); }
- explicit operator unsigned long long () const { return toULLong(); }
- explicit operator float () const { return toFloat(); }
- explicit operator double () const { return toDouble(); }
- explicit operator long double () const { return toLDouble(); }
-#endif
-
- // Get raw pointers so that mpreal can be directly used in raw mpfr_* functions
- ::mpfr_ptr mpfr_ptr();
- ::mpfr_srcptr mpfr_ptr() const;
- ::mpfr_srcptr mpfr_srcptr() const;
-
- // Convert mpreal to string with n significant digits in base b
- // n = -1 -> convert with the maximum available digits
- std::string toString(int n = -1, int b = 10, mp_rnd_t mode = mpreal::get_default_rnd()) const;
-
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
- std::string toString(const std::string& format) const;
-#endif
-
- std::ostream& output(std::ostream& os) const;
-
- // Math Functions
- friend const mpreal sqr (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal sqrt(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal sqrt(const unsigned long int v, mp_rnd_t rnd_mode);
- friend const mpreal cbrt(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal root(const mpreal& v, unsigned long int k, mp_rnd_t rnd_mode);
- friend const mpreal pow (const mpreal& a, const mpreal& b, mp_rnd_t rnd_mode);
- friend const mpreal pow (const mpreal& a, const mpz_t b, mp_rnd_t rnd_mode);
- friend const mpreal pow (const mpreal& a, const unsigned long int b, mp_rnd_t rnd_mode);
- friend const mpreal pow (const mpreal& a, const long int b, mp_rnd_t rnd_mode);
- friend const mpreal pow (const unsigned long int a, const mpreal& b, mp_rnd_t rnd_mode);
- friend const mpreal pow (const unsigned long int a, const unsigned long int b, mp_rnd_t rnd_mode);
- friend const mpreal fabs(const mpreal& v, mp_rnd_t rnd_mode);
-
- friend const mpreal abs(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal dim(const mpreal& a, const mpreal& b, mp_rnd_t rnd_mode);
- friend inline const mpreal mul_2ui(const mpreal& v, unsigned long int k, mp_rnd_t rnd_mode);
- friend inline const mpreal mul_2si(const mpreal& v, long int k, mp_rnd_t rnd_mode);
- friend inline const mpreal div_2ui(const mpreal& v, unsigned long int k, mp_rnd_t rnd_mode);
- friend inline const mpreal div_2si(const mpreal& v, long int k, mp_rnd_t rnd_mode);
- friend int cmpabs(const mpreal& a,const mpreal& b);
-
- friend const mpreal log (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal log2 (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal logb (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal log10(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal exp (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal exp2 (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal exp10(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal log1p(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal expm1(const mpreal& v, mp_rnd_t rnd_mode);
-
- friend const mpreal cos(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal sin(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal tan(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal sec(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal csc(const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal cot(const mpreal& v, mp_rnd_t rnd_mode);
- friend int sin_cos(mpreal& s, mpreal& c, const mpreal& v, mp_rnd_t rnd_mode);
-
- friend const mpreal acos (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal asin (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal atan (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal atan2 (const mpreal& y, const mpreal& x, mp_rnd_t rnd_mode);
- friend const mpreal acot (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal asec (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal acsc (const mpreal& v, mp_rnd_t rnd_mode);
-
- friend const mpreal cosh (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal sinh (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal tanh (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal sech (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal csch (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal coth (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal acosh (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal asinh (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal atanh (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal acoth (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal asech (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal acsch (const mpreal& v, mp_rnd_t rnd_mode);
-
- friend const mpreal hypot (const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode);
-
- friend const mpreal fac_ui (unsigned long int v, mp_prec_t prec, mp_rnd_t rnd_mode);
- friend const mpreal eint (const mpreal& v, mp_rnd_t rnd_mode);
-
- friend const mpreal gamma (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal tgamma (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal lngamma (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal lgamma (const mpreal& v, int *signp, mp_rnd_t rnd_mode);
- friend const mpreal zeta (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal erf (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal erfc (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal besselj0 (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal besselj1 (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal besseljn (long n, const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal bessely0 (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal bessely1 (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal besselyn (long n, const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal fma (const mpreal& v1, const mpreal& v2, const mpreal& v3, mp_rnd_t rnd_mode);
- friend const mpreal fms (const mpreal& v1, const mpreal& v2, const mpreal& v3, mp_rnd_t rnd_mode);
- friend const mpreal agm (const mpreal& v1, const mpreal& v2, mp_rnd_t rnd_mode);
- friend const mpreal sum (const mpreal tab[], const unsigned long int n, int& status, mp_rnd_t rnd_mode);
- friend int sgn(const mpreal& v); // returns -1 or +1
-
-// MPFR 2.4.0 Specifics
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
- friend int sinh_cosh (mpreal& s, mpreal& c, const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal li2 (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal fmod (const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode);
- friend const mpreal rec_sqrt (const mpreal& v, mp_rnd_t rnd_mode);
-
- // MATLAB's semantic equivalents
- friend const mpreal rem (const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode); // Remainder after division
- friend const mpreal mod (const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode); // Modulus after division
-#endif
-
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,0,0))
- friend const mpreal digamma (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal ai (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal urandom (gmp_randstate_t& state, mp_rnd_t rnd_mode); // use gmp_randinit_default() to init state, gmp_randclear() to clear
-#endif
-
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,1,0))
- friend const mpreal grandom (gmp_randstate_t& state, mp_rnd_t rnd_mode); // use gmp_randinit_default() to init state, gmp_randclear() to clear
- friend const mpreal grandom (unsigned int seed);
-#endif
-
- // Uniformly distributed random number generation in [0,1] using
- // Mersenne-Twister algorithm by default.
- // Use parameter to setup seed, e.g.: random((unsigned)time(NULL))
- // Check urandom() for more precise control.
- friend const mpreal random(unsigned int seed);
-
- // Splits mpreal value into fractional and integer parts.
- // Returns fractional part and stores integer part in n.
- friend const mpreal modf(const mpreal& v, mpreal& n);
-
- // Constants
- // don't forget to call mpfr_free_cache() for every thread where you are using const-functions
- friend const mpreal const_log2 (mp_prec_t prec, mp_rnd_t rnd_mode);
- friend const mpreal const_pi (mp_prec_t prec, mp_rnd_t rnd_mode);
- friend const mpreal const_euler (mp_prec_t prec, mp_rnd_t rnd_mode);
- friend const mpreal const_catalan (mp_prec_t prec, mp_rnd_t rnd_mode);
-
- // returns +inf iff sign>=0 otherwise -inf
- friend const mpreal const_infinity(int sign, mp_prec_t prec);
-
- // Output/ Input
- friend std::ostream& operator<<(std::ostream& os, const mpreal& v);
- friend std::istream& operator>>(std::istream& is, mpreal& v);
-
- // Integer Related Functions
- friend const mpreal rint (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal ceil (const mpreal& v);
- friend const mpreal floor(const mpreal& v);
- friend const mpreal round(const mpreal& v);
- friend const mpreal trunc(const mpreal& v);
- friend const mpreal rint_ceil (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal rint_floor (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal rint_round (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal rint_trunc (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal frac (const mpreal& v, mp_rnd_t rnd_mode);
- friend const mpreal remainder ( const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode);
- friend const mpreal remquo (long* q, const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode);
-
- // Miscellaneous Functions
- friend const mpreal nexttoward (const mpreal& x, const mpreal& y);
- friend const mpreal nextabove (const mpreal& x);
- friend const mpreal nextbelow (const mpreal& x);
-
- // use gmp_randinit_default() to init state, gmp_randclear() to clear
- friend const mpreal urandomb (gmp_randstate_t& state);
-
-// MPFR < 2.4.2 Specifics
-#if (MPFR_VERSION <= MPFR_VERSION_NUM(2,4,2))
- friend const mpreal random2 (mp_size_t size, mp_exp_t exp);
-#endif
-
- // Instance Checkers
- friend bool (isnan) (const mpreal& v);
- friend bool (isinf) (const mpreal& v);
- friend bool (isfinite) (const mpreal& v);
-
- friend bool isnum (const mpreal& v);
- friend bool iszero (const mpreal& v);
- friend bool isint (const mpreal& v);
-
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,0,0))
- friend bool isregular(const mpreal& v);
-#endif
-
- // Set/Get instance properties
- inline mp_prec_t get_prec() const;
- inline void set_prec(mp_prec_t prec, mp_rnd_t rnd_mode = get_default_rnd()); // Change precision with rounding mode
-
- // Aliases for get_prec(), set_prec() - needed for compatibility with std::complex<mpreal> interface
- inline mpreal& setPrecision(int Precision, mp_rnd_t RoundingMode = get_default_rnd());
- inline int getPrecision() const;
-
- // Set mpreal to +/- inf, NaN, +/-0
- mpreal& setInf (int Sign = +1);
- mpreal& setNan ();
- mpreal& setZero (int Sign = +1);
- mpreal& setSign (int Sign, mp_rnd_t RoundingMode = get_default_rnd());
-
- //Exponent
- mp_exp_t get_exp();
- int set_exp(mp_exp_t e);
- int check_range (int t, mp_rnd_t rnd_mode = get_default_rnd());
- int subnormalize (int t, mp_rnd_t rnd_mode = get_default_rnd());
-
- // Inexact conversion from float
- inline bool fits_in_bits(double x, int n);
-
- // Set/Get global properties
- static void set_default_prec(mp_prec_t prec);
- static void set_default_rnd(mp_rnd_t rnd_mode);
-
- static mp_exp_t get_emin (void);
- static mp_exp_t get_emax (void);
- static mp_exp_t get_emin_min (void);
- static mp_exp_t get_emin_max (void);
- static mp_exp_t get_emax_min (void);
- static mp_exp_t get_emax_max (void);
- static int set_emin (mp_exp_t exp);
- static int set_emax (mp_exp_t exp);
-
- // Efficient swapping of two mpreal values - needed for std algorithms
- friend void swap(mpreal& x, mpreal& y);
-
- friend const mpreal fmax(const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode);
- friend const mpreal fmin(const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode);
-
-private:
- // Human friendly Debug Preview in Visual Studio.
- // Put one of these lines:
- //
- // mpfr::mpreal=<DebugView> ; Show value only
- // mpfr::mpreal=<DebugView>, <mp[0]._mpfr_prec,u>bits ; Show value & precision
- //
- // at the beginning of
- // [Visual Studio Installation Folder]\Common7\Packages\Debugger\autoexp.dat
- MPREAL_MSVC_DEBUGVIEW_DATA
-
- // "Smart" resources deallocation. Checks if instance initialized before deletion.
- void clear(::mpfr_ptr);
-};
-
-//////////////////////////////////////////////////////////////////////////
-// Exceptions
-class conversion_overflow : public std::exception {
-public:
- std::string why() { return "inexact conversion from floating point"; }
-};
-
-//////////////////////////////////////////////////////////////////////////
-// Constructors & converters
-// Default constructor: creates mp number and initializes it to 0.
-inline mpreal::mpreal()
-{
- mpfr_init2(mpfr_ptr(), mpreal::get_default_prec());
- mpfr_set_zero_fast(mpfr_ptr());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const mpreal& u)
-{
- mpfr_init2(mpfr_ptr(),mpfr_get_prec(u.mpfr_srcptr()));
- mpfr_set (mpfr_ptr(),u.mpfr_srcptr(),mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-#ifdef MPREAL_HAVE_MOVE_SUPPORT
-inline mpreal::mpreal(mpreal&& other)
-{
- mpfr_set_uninitialized(mpfr_ptr()); // make sure "other" holds no pointer to actual data
- mpfr_swap(mpfr_ptr(), other.mpfr_ptr());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal& mpreal::operator=(mpreal&& other)
-{
- mpfr_swap(mpfr_ptr(), other.mpfr_ptr());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-#endif
-
-inline mpreal::mpreal(const mpfr_t u, bool shared)
-{
- if(shared)
- {
- std::memcpy(mpfr_ptr(), u, sizeof(mpfr_t));
- }
- else
- {
- mpfr_init2(mpfr_ptr(), mpfr_get_prec(u));
- mpfr_set (mpfr_ptr(), u, mpreal::get_default_rnd());
- }
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const mpf_t u)
-{
- mpfr_init2(mpfr_ptr(),(mp_prec_t) mpf_get_prec(u)); // (gmp: mp_bitcnt_t) unsigned long -> long (mpfr: mp_prec_t)
- mpfr_set_f(mpfr_ptr(),u,mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const mpz_t u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2(mpfr_ptr(), prec);
- mpfr_set_z(mpfr_ptr(), u, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const mpq_t u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2(mpfr_ptr(), prec);
- mpfr_set_q(mpfr_ptr(), u, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const double u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2(mpfr_ptr(), prec);
-
-#if (MPREAL_DOUBLE_BITS_OVERFLOW > -1)
- if(fits_in_bits(u, MPREAL_DOUBLE_BITS_OVERFLOW))
- {
- mpfr_set_d(mpfr_ptr(), u, mode);
- }else
- throw conversion_overflow();
-#else
- mpfr_set_d(mpfr_ptr(), u, mode);
-#endif
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const long double u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2 (mpfr_ptr(), prec);
- mpfr_set_ld(mpfr_ptr(), u, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const unsigned long long int u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2 (mpfr_ptr(), prec);
- mpfr_set_uj(mpfr_ptr(), u, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const long long int u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2 (mpfr_ptr(), prec);
- mpfr_set_sj(mpfr_ptr(), u, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const unsigned long int u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2 (mpfr_ptr(), prec);
- mpfr_set_ui(mpfr_ptr(), u, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const unsigned int u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2 (mpfr_ptr(), prec);
- mpfr_set_ui(mpfr_ptr(), u, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const long int u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2 (mpfr_ptr(), prec);
- mpfr_set_si(mpfr_ptr(), u, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const int u, mp_prec_t prec, mp_rnd_t mode)
-{
- mpfr_init2 (mpfr_ptr(), prec);
- mpfr_set_si(mpfr_ptr(), u, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const char* s, mp_prec_t prec, int base, mp_rnd_t mode)
-{
- mpfr_init2 (mpfr_ptr(), prec);
- mpfr_set_str(mpfr_ptr(), s, base, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mpreal::mpreal(const std::string& s, mp_prec_t prec, int base, mp_rnd_t mode)
-{
- mpfr_init2 (mpfr_ptr(), prec);
- mpfr_set_str(mpfr_ptr(), s.c_str(), base, mode);
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline void mpreal::clear(::mpfr_ptr x)
-{
-#ifdef MPREAL_HAVE_MOVE_SUPPORT
- if(mpfr_is_initialized(x))
-#endif
- mpfr_clear(x);
-}
-
-inline mpreal::~mpreal()
-{
- clear(mpfr_ptr());
-}
-
-// internal namespace needed for template magic
-namespace internal{
-
- // Use SFINAE to restrict arithmetic operations instantiation only for numeric types
- // This is needed for smooth integration with libraries based on expression templates, like Eigen.
- // TODO: Do the same for boolean operators.
- template <typename ArgumentType> struct result_type {};
-
- template <> struct result_type<mpreal> {typedef mpreal type;};
- template <> struct result_type<mpz_t> {typedef mpreal type;};
- template <> struct result_type<mpq_t> {typedef mpreal type;};
- template <> struct result_type<long double> {typedef mpreal type;};
- template <> struct result_type<double> {typedef mpreal type;};
- template <> struct result_type<unsigned long int> {typedef mpreal type;};
- template <> struct result_type<unsigned int> {typedef mpreal type;};
- template <> struct result_type<long int> {typedef mpreal type;};
- template <> struct result_type<int> {typedef mpreal type;};
- template <> struct result_type<long long> {typedef mpreal type;};
- template <> struct result_type<unsigned long long> {typedef mpreal type;};
-}
-
-// + Addition
-template <typename Rhs>
-inline const typename internal::result_type<Rhs>::type
- operator+(const mpreal& lhs, const Rhs& rhs){ return mpreal(lhs) += rhs; }
-
-template <typename Lhs>
-inline const typename internal::result_type<Lhs>::type
- operator+(const Lhs& lhs, const mpreal& rhs){ return mpreal(rhs) += lhs; }
-
-// - Subtraction
-template <typename Rhs>
-inline const typename internal::result_type<Rhs>::type
- operator-(const mpreal& lhs, const Rhs& rhs){ return mpreal(lhs) -= rhs; }
-
-template <typename Lhs>
-inline const typename internal::result_type<Lhs>::type
- operator-(const Lhs& lhs, const mpreal& rhs){ return mpreal(lhs) -= rhs; }
-
-// * Multiplication
-template <typename Rhs>
-inline const typename internal::result_type<Rhs>::type
- operator*(const mpreal& lhs, const Rhs& rhs){ return mpreal(lhs) *= rhs; }
-
-template <typename Lhs>
-inline const typename internal::result_type<Lhs>::type
- operator*(const Lhs& lhs, const mpreal& rhs){ return mpreal(rhs) *= lhs; }
-
-// / Division
-template <typename Rhs>
-inline const typename internal::result_type<Rhs>::type
- operator/(const mpreal& lhs, const Rhs& rhs){ return mpreal(lhs) /= rhs; }
-
-template <typename Lhs>
-inline const typename internal::result_type<Lhs>::type
- operator/(const Lhs& lhs, const mpreal& rhs){ return mpreal(lhs) /= rhs; }
-
-//////////////////////////////////////////////////////////////////////////
-// sqrt
-const mpreal sqrt(const unsigned int v, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal sqrt(const long int v, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal sqrt(const int v, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal sqrt(const long double v, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal sqrt(const double v, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-// abs
-inline const mpreal abs(const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd());
-
-//////////////////////////////////////////////////////////////////////////
-// pow
-const mpreal pow(const mpreal& a, const unsigned int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const mpreal& a, const int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const mpreal& a, const long double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const mpreal& a, const double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-const mpreal pow(const unsigned int a, const mpreal& b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long int a, const mpreal& b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const int a, const mpreal& b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long double a, const mpreal& b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const double a, const mpreal& b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-const mpreal pow(const unsigned long int a, const unsigned int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const unsigned long int a, const long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const unsigned long int a, const int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const unsigned long int a, const long double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const unsigned long int a, const double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-const mpreal pow(const unsigned int a, const unsigned long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const unsigned int a, const unsigned int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const unsigned int a, const long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const unsigned int a, const int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const unsigned int a, const long double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const unsigned int a, const double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-const mpreal pow(const long int a, const unsigned long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long int a, const unsigned int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long int a, const long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long int a, const int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long int a, const long double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long int a, const double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-const mpreal pow(const int a, const unsigned long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const int a, const unsigned int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const int a, const long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const int a, const int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const int a, const long double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const int a, const double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-const mpreal pow(const long double a, const long double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long double a, const unsigned long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long double a, const unsigned int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long double a, const long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const long double a, const int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-const mpreal pow(const double a, const double b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const double a, const unsigned long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const double a, const unsigned int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const double a, const long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-const mpreal pow(const double a, const int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-inline const mpreal mul_2ui(const mpreal& v, unsigned long int k, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-inline const mpreal mul_2si(const mpreal& v, long int k, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-inline const mpreal div_2ui(const mpreal& v, unsigned long int k, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-inline const mpreal div_2si(const mpreal& v, long int k, mp_rnd_t rnd_mode = mpreal::get_default_rnd());
-
-//////////////////////////////////////////////////////////////////////////
-// Estimate machine epsilon for the given precision
-// Returns smallest eps such that 1.0 + eps != 1.0
-inline mpreal machine_epsilon(mp_prec_t prec = mpreal::get_default_prec());
-
-// Returns smallest eps such that x + eps != x (relative machine epsilon)
-inline mpreal machine_epsilon(const mpreal& x);
-
-// Gives max & min values for the required precision,
-// minval is 'safe' meaning 1 / minval does not overflow
-// maxval is 'safe' meaning 1 / maxval does not underflow
-inline mpreal minval(mp_prec_t prec = mpreal::get_default_prec());
-inline mpreal maxval(mp_prec_t prec = mpreal::get_default_prec());
-
-// 'Dirty' equality check 1: |a-b| < min{|a|,|b|} * eps
-inline bool isEqualFuzzy(const mpreal& a, const mpreal& b, const mpreal& eps);
-
-// 'Dirty' equality check 2: |a-b| < min{|a|,|b|} * eps( min{|a|,|b|} )
-inline bool isEqualFuzzy(const mpreal& a, const mpreal& b);
-
-// 'Bitwise' equality check
-// maxUlps - a and b can be apart by maxUlps binary numbers.
-inline bool isEqualUlps(const mpreal& a, const mpreal& b, int maxUlps);
-
-//////////////////////////////////////////////////////////////////////////
-// Convert precision in 'bits' to decimal digits and vice versa.
-// bits = ceil(digits*log[2](10))
-// digits = floor(bits*log[10](2))
-
-inline mp_prec_t digits2bits(int d);
-inline int bits2digits(mp_prec_t b);
-
-//////////////////////////////////////////////////////////////////////////
-// min, max
-const mpreal (max)(const mpreal& x, const mpreal& y);
-const mpreal (min)(const mpreal& x, const mpreal& y);
-
-//////////////////////////////////////////////////////////////////////////
-// Implementation
-//////////////////////////////////////////////////////////////////////////
-
-//////////////////////////////////////////////////////////////////////////
-// Operators - Assignment
-inline mpreal& mpreal::operator=(const mpreal& v)
-{
- if (this != &v)
- {
- mp_prec_t tp = mpfr_get_prec( mpfr_srcptr());
- mp_prec_t vp = mpfr_get_prec(v.mpfr_srcptr());
-
- if(tp != vp){
- clear(mpfr_ptr());
- mpfr_init2(mpfr_ptr(), vp);
- }
-
- mpfr_set(mpfr_ptr(), v.mpfr_srcptr(), mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- }
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const mpf_t v)
-{
- mpfr_set_f(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const mpz_t v)
-{
- mpfr_set_z(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const mpq_t v)
-{
- mpfr_set_q(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const long double v)
-{
- mpfr_set_ld(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const double v)
-{
-#if (MPREAL_DOUBLE_BITS_OVERFLOW > -1)
- if(fits_in_bits(v, MPREAL_DOUBLE_BITS_OVERFLOW))
- {
- mpfr_set_d(mpfr_ptr(),v,mpreal::get_default_rnd());
- }else
- throw conversion_overflow();
-#else
- mpfr_set_d(mpfr_ptr(),v,mpreal::get_default_rnd());
-#endif
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const unsigned long int v)
-{
- mpfr_set_ui(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const unsigned int v)
-{
- mpfr_set_ui(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const unsigned long long int v)
-{
- mpfr_set_uj(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const long long int v)
-{
- mpfr_set_sj(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const long int v)
-{
- mpfr_set_si(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const int v)
-{
- mpfr_set_si(mpfr_ptr(), v, mpreal::get_default_rnd());
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const char* s)
-{
- // Use other converters for more precise control on base & precision & rounding:
- //
- // mpreal(const char* s, mp_prec_t prec, int base, mp_rnd_t mode)
- // mpreal(const std::string& s,mp_prec_t prec, int base, mp_rnd_t mode)
- //
- // Here we assume base = 10 and we use precision of target variable.
-
- mpfr_t t;
-
- mpfr_init2(t, mpfr_get_prec(mpfr_srcptr()));
-
- if(0 == mpfr_set_str(t, s, 10, mpreal::get_default_rnd()))
- {
- mpfr_set(mpfr_ptr(), t, mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- }
-
- clear(t);
- return *this;
-}
-
-inline mpreal& mpreal::operator=(const std::string& s)
-{
- // Use other converters for more precise control on base & precision & rounding:
- //
- // mpreal(const char* s, mp_prec_t prec, int base, mp_rnd_t mode)
- // mpreal(const std::string& s,mp_prec_t prec, int base, mp_rnd_t mode)
- //
- // Here we assume base = 10 and we use precision of target variable.
-
- mpfr_t t;
-
- mpfr_init2(t, mpfr_get_prec(mpfr_srcptr()));
-
- if(0 == mpfr_set_str(t, s.c_str(), 10, mpreal::get_default_rnd()))
- {
- mpfr_set(mpfr_ptr(), t, mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- }
-
- clear(t);
- return *this;
-}
-
-template <typename real_t>
-inline mpreal& mpreal::operator= (const std::complex<real_t>& z)
-{
- return *this = z.real();
-}
-
-//////////////////////////////////////////////////////////////////////////
-// + Addition
-inline mpreal& mpreal::operator+=(const mpreal& v)
-{
- mpfr_add(mpfr_ptr(), mpfr_srcptr(), v.mpfr_srcptr(), mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+=(const mpf_t u)
-{
- *this += mpreal(u);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+=(const mpz_t u)
-{
- mpfr_add_z(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+=(const mpq_t u)
-{
- mpfr_add_q(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+= (const long double u)
-{
- *this += mpreal(u);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+= (const double u)
-{
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
- mpfr_add_d(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
-#else
- *this += mpreal(u);
-#endif
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+=(const unsigned long int u)
-{
- mpfr_add_ui(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+=(const unsigned int u)
-{
- mpfr_add_ui(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+=(const long int u)
-{
- mpfr_add_si(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+=(const int u)
-{
- mpfr_add_si(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator+=(const long long int u) { *this += mpreal(u); MPREAL_MSVC_DEBUGVIEW_CODE; return *this; }
-inline mpreal& mpreal::operator+=(const unsigned long long int u){ *this += mpreal(u); MPREAL_MSVC_DEBUGVIEW_CODE; return *this; }
-inline mpreal& mpreal::operator-=(const long long int u) { *this -= mpreal(u); MPREAL_MSVC_DEBUGVIEW_CODE; return *this; }
-inline mpreal& mpreal::operator-=(const unsigned long long int u){ *this -= mpreal(u); MPREAL_MSVC_DEBUGVIEW_CODE; return *this; }
-inline mpreal& mpreal::operator*=(const long long int u) { *this *= mpreal(u); MPREAL_MSVC_DEBUGVIEW_CODE; return *this; }
-inline mpreal& mpreal::operator*=(const unsigned long long int u){ *this *= mpreal(u); MPREAL_MSVC_DEBUGVIEW_CODE; return *this; }
-inline mpreal& mpreal::operator/=(const long long int u) { *this /= mpreal(u); MPREAL_MSVC_DEBUGVIEW_CODE; return *this; }
-inline mpreal& mpreal::operator/=(const unsigned long long int u){ *this /= mpreal(u); MPREAL_MSVC_DEBUGVIEW_CODE; return *this; }
-
-inline const mpreal mpreal::operator+()const { return mpreal(*this); }
-
-inline const mpreal operator+(const mpreal& a, const mpreal& b)
-{
- mpreal c(0, (std::max)(mpfr_get_prec(a.mpfr_ptr()), mpfr_get_prec(b.mpfr_ptr())));
- mpfr_add(c.mpfr_ptr(), a.mpfr_srcptr(), b.mpfr_srcptr(), mpreal::get_default_rnd());
- return c;
-}
-
-inline mpreal& mpreal::operator++()
-{
- return *this += 1;
-}
-
-inline const mpreal mpreal::operator++ (int)
-{
- mpreal x(*this);
- *this += 1;
- return x;
-}
-
-inline mpreal& mpreal::operator--()
-{
- return *this -= 1;
-}
-
-inline const mpreal mpreal::operator-- (int)
-{
- mpreal x(*this);
- *this -= 1;
- return x;
-}
-
-//////////////////////////////////////////////////////////////////////////
-// - Subtraction
-inline mpreal& mpreal::operator-=(const mpreal& v)
-{
- mpfr_sub(mpfr_ptr(),mpfr_srcptr(),v.mpfr_srcptr(),mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator-=(const mpz_t v)
-{
- mpfr_sub_z(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator-=(const mpq_t v)
-{
- mpfr_sub_q(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator-=(const long double v)
-{
- *this -= mpreal(v);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator-=(const double v)
-{
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
- mpfr_sub_d(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
-#else
- *this -= mpreal(v);
-#endif
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator-=(const unsigned long int v)
-{
- mpfr_sub_ui(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator-=(const unsigned int v)
-{
- mpfr_sub_ui(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator-=(const long int v)
-{
- mpfr_sub_si(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator-=(const int v)
-{
- mpfr_sub_si(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline const mpreal mpreal::operator-()const
-{
- mpreal u(*this);
- mpfr_neg(u.mpfr_ptr(),u.mpfr_srcptr(),mpreal::get_default_rnd());
- return u;
-}
-
-inline const mpreal operator-(const mpreal& a, const mpreal& b)
-{
- mpreal c(0, (std::max)(mpfr_get_prec(a.mpfr_ptr()), mpfr_get_prec(b.mpfr_ptr())));
- mpfr_sub(c.mpfr_ptr(), a.mpfr_srcptr(), b.mpfr_srcptr(), mpreal::get_default_rnd());
- return c;
-}
-
-inline const mpreal operator-(const double b, const mpreal& a)
-{
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
- mpreal x(0, mpfr_get_prec(a.mpfr_ptr()));
- mpfr_d_sub(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-#else
- mpreal x(b, mpfr_get_prec(a.mpfr_ptr()));
- x -= a;
- return x;
-#endif
-}
-
-inline const mpreal operator-(const unsigned long int b, const mpreal& a)
-{
- mpreal x(0, mpfr_get_prec(a.mpfr_ptr()));
- mpfr_ui_sub(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-}
-
-inline const mpreal operator-(const unsigned int b, const mpreal& a)
-{
- mpreal x(0, mpfr_get_prec(a.mpfr_ptr()));
- mpfr_ui_sub(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-}
-
-inline const mpreal operator-(const long int b, const mpreal& a)
-{
- mpreal x(0, mpfr_get_prec(a.mpfr_ptr()));
- mpfr_si_sub(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-}
-
-inline const mpreal operator-(const int b, const mpreal& a)
-{
- mpreal x(0, mpfr_get_prec(a.mpfr_ptr()));
- mpfr_si_sub(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-}
-
-//////////////////////////////////////////////////////////////////////////
-// * Multiplication
-inline mpreal& mpreal::operator*= (const mpreal& v)
-{
- mpfr_mul(mpfr_ptr(),mpfr_srcptr(),v.mpfr_srcptr(),mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator*=(const mpz_t v)
-{
- mpfr_mul_z(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator*=(const mpq_t v)
-{
- mpfr_mul_q(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator*=(const long double v)
-{
- *this *= mpreal(v);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator*=(const double v)
-{
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
- mpfr_mul_d(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
-#else
- *this *= mpreal(v);
-#endif
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator*=(const unsigned long int v)
-{
- mpfr_mul_ui(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator*=(const unsigned int v)
-{
- mpfr_mul_ui(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator*=(const long int v)
-{
- mpfr_mul_si(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator*=(const int v)
-{
- mpfr_mul_si(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline const mpreal operator*(const mpreal& a, const mpreal& b)
-{
- mpreal c(0, (std::max)(mpfr_get_prec(a.mpfr_ptr()), mpfr_get_prec(b.mpfr_ptr())));
- mpfr_mul(c.mpfr_ptr(), a.mpfr_srcptr(), b.mpfr_srcptr(), mpreal::get_default_rnd());
- return c;
-}
-
-//////////////////////////////////////////////////////////////////////////
-// / Division
-inline mpreal& mpreal::operator/=(const mpreal& v)
-{
- mpfr_div(mpfr_ptr(),mpfr_srcptr(),v.mpfr_srcptr(),mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator/=(const mpz_t v)
-{
- mpfr_div_z(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator/=(const mpq_t v)
-{
- mpfr_div_q(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator/=(const long double v)
-{
- *this /= mpreal(v);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator/=(const double v)
-{
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
- mpfr_div_d(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
-#else
- *this /= mpreal(v);
-#endif
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator/=(const unsigned long int v)
-{
- mpfr_div_ui(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator/=(const unsigned int v)
-{
- mpfr_div_ui(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator/=(const long int v)
-{
- mpfr_div_si(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator/=(const int v)
-{
- mpfr_div_si(mpfr_ptr(),mpfr_srcptr(),v,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline const mpreal operator/(const mpreal& a, const mpreal& b)
-{
- mpreal c(0, (std::max)(mpfr_get_prec(a.mpfr_srcptr()), mpfr_get_prec(b.mpfr_srcptr())));
- mpfr_div(c.mpfr_ptr(), a.mpfr_srcptr(), b.mpfr_srcptr(), mpreal::get_default_rnd());
- return c;
-}
-
-inline const mpreal operator/(const unsigned long int b, const mpreal& a)
-{
- mpreal x(0, mpfr_get_prec(a.mpfr_srcptr()));
- mpfr_ui_div(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-}
-
-inline const mpreal operator/(const unsigned int b, const mpreal& a)
-{
- mpreal x(0, mpfr_get_prec(a.mpfr_srcptr()));
- mpfr_ui_div(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-}
-
-inline const mpreal operator/(const long int b, const mpreal& a)
-{
- mpreal x(0, mpfr_get_prec(a.mpfr_srcptr()));
- mpfr_si_div(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-}
-
-inline const mpreal operator/(const int b, const mpreal& a)
-{
- mpreal x(0, mpfr_get_prec(a.mpfr_srcptr()));
- mpfr_si_div(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-}
-
-inline const mpreal operator/(const double b, const mpreal& a)
-{
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
- mpreal x(0, mpfr_get_prec(a.mpfr_srcptr()));
- mpfr_d_div(x.mpfr_ptr(), b, a.mpfr_srcptr(), mpreal::get_default_rnd());
- return x;
-#else
- mpreal x(0, mpfr_get_prec(a.mpfr_ptr()));
- x /= a;
- return x;
-#endif
-}
-
-//////////////////////////////////////////////////////////////////////////
-// Shifts operators - Multiplication/Division by power of 2
-inline mpreal& mpreal::operator<<=(const unsigned long int u)
-{
- mpfr_mul_2ui(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator<<=(const unsigned int u)
-{
- mpfr_mul_2ui(mpfr_ptr(),mpfr_srcptr(),static_cast<unsigned long int>(u),mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator<<=(const long int u)
-{
- mpfr_mul_2si(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator<<=(const int u)
-{
- mpfr_mul_2si(mpfr_ptr(),mpfr_srcptr(),static_cast<long int>(u),mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator>>=(const unsigned long int u)
-{
- mpfr_div_2ui(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator>>=(const unsigned int u)
-{
- mpfr_div_2ui(mpfr_ptr(),mpfr_srcptr(),static_cast<unsigned long int>(u),mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator>>=(const long int u)
-{
- mpfr_div_2si(mpfr_ptr(),mpfr_srcptr(),u,mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::operator>>=(const int u)
-{
- mpfr_div_2si(mpfr_ptr(),mpfr_srcptr(),static_cast<long int>(u),mpreal::get_default_rnd());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline const mpreal operator<<(const mpreal& v, const unsigned long int k)
-{
- return mul_2ui(v,k);
-}
-
-inline const mpreal operator<<(const mpreal& v, const unsigned int k)
-{
- return mul_2ui(v,static_cast<unsigned long int>(k));
-}
-
-inline const mpreal operator<<(const mpreal& v, const long int k)
-{
- return mul_2si(v,k);
-}
-
-inline const mpreal operator<<(const mpreal& v, const int k)
-{
- return mul_2si(v,static_cast<long int>(k));
-}
-
-inline const mpreal operator>>(const mpreal& v, const unsigned long int k)
-{
- return div_2ui(v,k);
-}
-
-inline const mpreal operator>>(const mpreal& v, const long int k)
-{
- return div_2si(v,k);
-}
-
-inline const mpreal operator>>(const mpreal& v, const unsigned int k)
-{
- return div_2ui(v,static_cast<unsigned long int>(k));
-}
-
-inline const mpreal operator>>(const mpreal& v, const int k)
-{
- return div_2si(v,static_cast<long int>(k));
-}
-
-// mul_2ui
-inline const mpreal mul_2ui(const mpreal& v, unsigned long int k, mp_rnd_t rnd_mode)
-{
- mpreal x(v);
- mpfr_mul_2ui(x.mpfr_ptr(),v.mpfr_srcptr(),k,rnd_mode);
- return x;
-}
-
-// mul_2si
-inline const mpreal mul_2si(const mpreal& v, long int k, mp_rnd_t rnd_mode)
-{
- mpreal x(v);
- mpfr_mul_2si(x.mpfr_ptr(),v.mpfr_srcptr(),k,rnd_mode);
- return x;
-}
-
-inline const mpreal div_2ui(const mpreal& v, unsigned long int k, mp_rnd_t rnd_mode)
-{
- mpreal x(v);
- mpfr_div_2ui(x.mpfr_ptr(),v.mpfr_srcptr(),k,rnd_mode);
- return x;
-}
-
-inline const mpreal div_2si(const mpreal& v, long int k, mp_rnd_t rnd_mode)
-{
- mpreal x(v);
- mpfr_div_2si(x.mpfr_ptr(),v.mpfr_srcptr(),k,rnd_mode);
- return x;
-}
-
-//////////////////////////////////////////////////////////////////////////
-//Relational operators
-
-// WARNING:
-//
-// Please note that following checks for double-NaN are guaranteed to work only in IEEE math mode:
-//
-// isnan(b) = (b != b)
-// isnan(b) = !(b == b) (we use in code below)
-//
-// Be cautions if you use compiler options which break strict IEEE compliance (e.g. -ffast-math in GCC).
-// Use std::isnan instead (C++11).
-
-inline bool operator > (const mpreal& a, const mpreal& b ){ return (mpfr_greater_p(a.mpfr_srcptr(),b.mpfr_srcptr()) != 0 ); }
-inline bool operator > (const mpreal& a, const unsigned long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) > 0 ); }
-inline bool operator > (const mpreal& a, const unsigned int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) > 0 ); }
-inline bool operator > (const mpreal& a, const long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) > 0 ); }
-inline bool operator > (const mpreal& a, const int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) > 0 ); }
-inline bool operator > (const mpreal& a, const long double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_ld(a.mpfr_srcptr(),b) > 0 ); }
-inline bool operator > (const mpreal& a, const double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_d (a.mpfr_srcptr(),b) > 0 ); }
-
-inline bool operator >= (const mpreal& a, const mpreal& b ){ return (mpfr_greaterequal_p(a.mpfr_srcptr(),b.mpfr_srcptr()) != 0 ); }
-inline bool operator >= (const mpreal& a, const unsigned long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) >= 0 ); }
-// inline bool operator >= (const mpreal& a, const unsigned int b ){ return !isnan EIGEN_NOT_A_MACRO (isnan()a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) >= 0 ); }
-inline bool operator >= (const mpreal& a, const long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) >= 0 ); }
-inline bool operator >= (const mpreal& a, const int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) >= 0 ); }
-inline bool operator >= (const mpreal& a, const long double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_ld(a.mpfr_srcptr(),b) >= 0 ); }
-inline bool operator >= (const mpreal& a, const double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_d (a.mpfr_srcptr(),b) >= 0 ); }
-
-inline bool operator < (const mpreal& a, const mpreal& b ){ return (mpfr_less_p(a.mpfr_srcptr(),b.mpfr_srcptr()) != 0 ); }
-inline bool operator < (const mpreal& a, const unsigned long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) < 0 ); }
-inline bool operator < (const mpreal& a, const unsigned int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) < 0 ); }
-inline bool operator < (const mpreal& a, const long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) < 0 ); }
-inline bool operator < (const mpreal& a, const int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) < 0 ); }
-inline bool operator < (const mpreal& a, const long double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_ld(a.mpfr_srcptr(),b) < 0 ); }
-inline bool operator < (const mpreal& a, const double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_d (a.mpfr_srcptr(),b) < 0 ); }
-
-inline bool operator <= (const mpreal& a, const mpreal& b ){ return (mpfr_lessequal_p(a.mpfr_srcptr(),b.mpfr_srcptr()) != 0 ); }
-inline bool operator <= (const mpreal& a, const unsigned long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) <= 0 ); }
-inline bool operator <= (const mpreal& a, const unsigned int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) <= 0 ); }
-inline bool operator <= (const mpreal& a, const long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) <= 0 ); }
-inline bool operator <= (const mpreal& a, const int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) <= 0 ); }
-inline bool operator <= (const mpreal& a, const long double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_ld(a.mpfr_srcptr(),b) <= 0 ); }
-inline bool operator <= (const mpreal& a, const double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_d (a.mpfr_srcptr(),b) <= 0 ); }
-
-inline bool operator == (const mpreal& a, const mpreal& b ){ return (mpfr_equal_p(a.mpfr_srcptr(),b.mpfr_srcptr()) != 0 ); }
-inline bool operator == (const mpreal& a, const unsigned long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) == 0 ); }
-inline bool operator == (const mpreal& a, const unsigned int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_ui(a.mpfr_srcptr(),b) == 0 ); }
-inline bool operator == (const mpreal& a, const long int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) == 0 ); }
-inline bool operator == (const mpreal& a, const int b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (mpfr_cmp_si(a.mpfr_srcptr(),b) == 0 ); }
-inline bool operator == (const mpreal& a, const long double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_ld(a.mpfr_srcptr(),b) == 0 ); }
-inline bool operator == (const mpreal& a, const double b ){ return !isnan EIGEN_NOT_A_MACRO (a) && (b == b) && (mpfr_cmp_d (a.mpfr_srcptr(),b) == 0 ); }
-
-inline bool operator != (const mpreal& a, const mpreal& b ){ return !(a == b); }
-inline bool operator != (const mpreal& a, const unsigned long int b ){ return !(a == b); }
-inline bool operator != (const mpreal& a, const unsigned int b ){ return !(a == b); }
-inline bool operator != (const mpreal& a, const long int b ){ return !(a == b); }
-inline bool operator != (const mpreal& a, const int b ){ return !(a == b); }
-inline bool operator != (const mpreal& a, const long double b ){ return !(a == b); }
-inline bool operator != (const mpreal& a, const double b ){ return !(a == b); }
-
-inline bool (isnan) (const mpreal& op){ return (mpfr_nan_p (op.mpfr_srcptr()) != 0 ); }
-inline bool (isinf) (const mpreal& op){ return (mpfr_inf_p (op.mpfr_srcptr()) != 0 ); }
-inline bool (isfinite) (const mpreal& op){ return (mpfr_number_p (op.mpfr_srcptr()) != 0 ); }
-inline bool iszero (const mpreal& op){ return (mpfr_zero_p (op.mpfr_srcptr()) != 0 ); }
-inline bool isint (const mpreal& op){ return (mpfr_integer_p(op.mpfr_srcptr()) != 0 ); }
-
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,0,0))
-inline bool isregular(const mpreal& op){ return (mpfr_regular_p(op.mpfr_srcptr()));}
-#endif
-
-//////////////////////////////////////////////////////////////////////////
-// Type Converters
-inline bool mpreal::toBool ( ) const { return mpfr_zero_p (mpfr_srcptr()) == 0; }
-inline long mpreal::toLong (mp_rnd_t mode) const { return mpfr_get_si (mpfr_srcptr(), mode); }
-inline unsigned long mpreal::toULong (mp_rnd_t mode) const { return mpfr_get_ui (mpfr_srcptr(), mode); }
-inline float mpreal::toFloat (mp_rnd_t mode) const { return mpfr_get_flt(mpfr_srcptr(), mode); }
-inline double mpreal::toDouble (mp_rnd_t mode) const { return mpfr_get_d (mpfr_srcptr(), mode); }
-inline long double mpreal::toLDouble(mp_rnd_t mode) const { return mpfr_get_ld (mpfr_srcptr(), mode); }
-inline long long mpreal::toLLong (mp_rnd_t mode) const { return mpfr_get_sj (mpfr_srcptr(), mode); }
-inline unsigned long long mpreal::toULLong (mp_rnd_t mode) const { return mpfr_get_uj (mpfr_srcptr(), mode); }
-
-inline ::mpfr_ptr mpreal::mpfr_ptr() { return mp; }
-inline ::mpfr_srcptr mpreal::mpfr_ptr() const { return mp; }
-inline ::mpfr_srcptr mpreal::mpfr_srcptr() const { return mp; }
-
-template <class T>
-inline std::string toString(T t, std::ios_base & (*f)(std::ios_base&))
-{
- std::ostringstream oss;
- oss << f << t;
- return oss.str();
-}
-
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
-
-inline std::string mpreal::toString(const std::string& format) const
-{
- char *s = NULL;
- std::string out;
-
- if( !format.empty() )
- {
- if(!(mpfr_asprintf(&s, format.c_str(), mpfr_srcptr()) < 0))
- {
- out = std::string(s);
-
- mpfr_free_str(s);
- }
- }
-
- return out;
-}
-
-#endif
-
-inline std::string mpreal::toString(int n, int b, mp_rnd_t mode) const
-{
- // TODO: Add extended format specification (f, e, rounding mode) as it done in output operator
- (void)b;
- (void)mode;
-
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
-
- std::ostringstream format;
-
- int digits = (n >= 0) ? n : 1 + bits2digits(mpfr_get_prec(mpfr_srcptr()));
-
- format << "%." << digits << "RNg";
-
- return toString(format.str());
-
-#else
-
- char *s, *ns = NULL;
- size_t slen, nslen;
- mp_exp_t exp;
- std::string out;
-
- if(mpfr_inf_p(mp))
- {
- if(mpfr_sgn(mp)>0) return "+Inf";
- else return "-Inf";
- }
-
- if(mpfr_zero_p(mp)) return "0";
- if(mpfr_nan_p(mp)) return "NaN";
-
- s = mpfr_get_str(NULL, &exp, b, 0, mp, mode);
- ns = mpfr_get_str(NULL, &exp, b, (std::max)(0,n), mp, mode);
-
- if(s!=NULL && ns!=NULL)
- {
- slen = strlen(s);
- nslen = strlen(ns);
- if(nslen<=slen)
- {
- mpfr_free_str(s);
- s = ns;
- slen = nslen;
- }
- else {
- mpfr_free_str(ns);
- }
-
- // Make human eye-friendly formatting if possible
- if (exp>0 && static_cast<size_t>(exp)<slen)
- {
- if(s[0]=='-')
- {
- // Remove zeros starting from right end
- char* ptr = s+slen-1;
- while (*ptr=='0' && ptr>s+exp) ptr--;
-
- if(ptr==s+exp) out = std::string(s,exp+1);
- else out = std::string(s,exp+1)+'.'+std::string(s+exp+1,ptr-(s+exp+1)+1);
-
- //out = string(s,exp+1)+'.'+string(s+exp+1);
- }
- else
- {
- // Remove zeros starting from right end
- char* ptr = s+slen-1;
- while (*ptr=='0' && ptr>s+exp-1) ptr--;
-
- if(ptr==s+exp-1) out = std::string(s,exp);
- else out = std::string(s,exp)+'.'+std::string(s+exp,ptr-(s+exp)+1);
-
- //out = string(s,exp)+'.'+string(s+exp);
- }
-
- }else{ // exp<0 || exp>slen
- if(s[0]=='-')
- {
- // Remove zeros starting from right end
- char* ptr = s+slen-1;
- while (*ptr=='0' && ptr>s+1) ptr--;
-
- if(ptr==s+1) out = std::string(s,2);
- else out = std::string(s,2)+'.'+std::string(s+2,ptr-(s+2)+1);
-
- //out = string(s,2)+'.'+string(s+2);
- }
- else
- {
- // Remove zeros starting from right end
- char* ptr = s+slen-1;
- while (*ptr=='0' && ptr>s) ptr--;
-
- if(ptr==s) out = std::string(s,1);
- else out = std::string(s,1)+'.'+std::string(s+1,ptr-(s+1)+1);
-
- //out = string(s,1)+'.'+string(s+1);
- }
-
- // Make final string
- if(--exp)
- {
- if(exp>0) out += "e+"+mpfr::toString<mp_exp_t>(exp,std::dec);
- else out += "e"+mpfr::toString<mp_exp_t>(exp,std::dec);
- }
- }
-
- mpfr_free_str(s);
- return out;
- }else{
- return "conversion error!";
- }
-#endif
-}
-
-
-//////////////////////////////////////////////////////////////////////////
-// I/O
-inline std::ostream& mpreal::output(std::ostream& os) const
-{
- std::ostringstream format;
- const std::ios::fmtflags flags = os.flags();
-
- format << ((flags & std::ios::showpos) ? "%+" : "%");
- if (os.precision() >= 0)
- format << '.' << os.precision() << "R*"
- << ((flags & std::ios::floatfield) == std::ios::fixed ? 'f' :
- (flags & std::ios::floatfield) == std::ios::scientific ? 'e' :
- 'g');
- else
- format << "R*e";
-
- char *s = NULL;
- if(!(mpfr_asprintf(&s, format.str().c_str(),
- mpfr::mpreal::get_default_rnd(),
- mpfr_srcptr())
- < 0))
- {
- os << std::string(s);
- mpfr_free_str(s);
- }
- return os;
-}
-
-inline std::ostream& operator<<(std::ostream& os, const mpreal& v)
-{
- return v.output(os);
-}
-
-inline std::istream& operator>>(std::istream &is, mpreal& v)
-{
- // TODO: use cout::hexfloat and other flags to setup base
- std::string tmp;
- is >> tmp;
- mpfr_set_str(v.mpfr_ptr(), tmp.c_str(), 10, mpreal::get_default_rnd());
- return is;
-}
-
-//////////////////////////////////////////////////////////////////////////
-// Bits - decimal digits relation
-// bits = ceil(digits*log[2](10))
-// digits = floor(bits*log[10](2))
-
-inline mp_prec_t digits2bits(int d)
-{
- const double LOG2_10 = 3.3219280948873624;
-
- return mp_prec_t(std::ceil( d * LOG2_10 ));
-}
-
-inline int bits2digits(mp_prec_t b)
-{
- const double LOG10_2 = 0.30102999566398119;
-
- return int(std::floor( b * LOG10_2 ));
-}
-
-//////////////////////////////////////////////////////////////////////////
-// Set/Get number properties
-inline int sgn(const mpreal& op)
-{
- return mpfr_sgn(op.mpfr_srcptr());
-}
-
-inline mpreal& mpreal::setSign(int sign, mp_rnd_t RoundingMode)
-{
- mpfr_setsign(mpfr_ptr(), mpfr_srcptr(), (sign < 0 ? 1 : 0), RoundingMode);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline int mpreal::getPrecision() const
-{
- return int(mpfr_get_prec(mpfr_srcptr()));
-}
-
-inline mpreal& mpreal::setPrecision(int Precision, mp_rnd_t RoundingMode)
-{
- mpfr_prec_round(mpfr_ptr(), Precision, RoundingMode);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::setInf(int sign)
-{
- mpfr_set_inf(mpfr_ptr(), sign);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::setNan()
-{
- mpfr_set_nan(mpfr_ptr());
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mpreal& mpreal::setZero(int sign)
-{
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,0,0))
- mpfr_set_zero(mpfr_ptr(), sign);
-#else
- mpfr_set_si(mpfr_ptr(), 0, (mpfr_get_default_rounding_mode)());
- setSign(sign);
-#endif
-
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return *this;
-}
-
-inline mp_prec_t mpreal::get_prec() const
-{
- return mpfr_get_prec(mpfr_srcptr());
-}
-
-inline void mpreal::set_prec(mp_prec_t prec, mp_rnd_t rnd_mode)
-{
- mpfr_prec_round(mpfr_ptr(),prec,rnd_mode);
- MPREAL_MSVC_DEBUGVIEW_CODE;
-}
-
-inline mp_exp_t mpreal::get_exp ()
-{
- return mpfr_get_exp(mpfr_srcptr());
-}
-
-inline int mpreal::set_exp (mp_exp_t e)
-{
- int x = mpfr_set_exp(mpfr_ptr(), e);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return x;
-}
-
-inline const mpreal frexp(const mpreal& x, mp_exp_t* exp, mp_rnd_t mode = mpreal::get_default_rnd())
-{
- mpreal y(x);
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,1,0))
- mpfr_frexp(exp,y.mpfr_ptr(),x.mpfr_srcptr(),mode);
-#else
- *exp = mpfr_get_exp(y.mpfr_srcptr());
- mpfr_set_exp(y.mpfr_ptr(),0);
-#endif
- return y;
-}
-
-inline const mpreal ldexp(const mpreal& v, mp_exp_t exp)
-{
- mpreal x(v);
-
- // rounding is not important since we are just increasing the exponent (= exact operation)
- mpfr_mul_2si(x.mpfr_ptr(), x.mpfr_srcptr(), exp, mpreal::get_default_rnd());
- return x;
-}
-
-inline const mpreal scalbn(const mpreal& v, mp_exp_t exp)
-{
- return ldexp(v, exp);
-}
-
-inline mpreal machine_epsilon(mp_prec_t prec)
-{
- /* the smallest eps such that 1 + eps != 1 */
- return machine_epsilon(mpreal(1, prec));
-}
-
-inline mpreal machine_epsilon(const mpreal& x)
-{
- /* the smallest eps such that x + eps != x */
- if( x < 0)
- {
- return nextabove(-x) + x;
- }else{
- return nextabove( x) - x;
- }
-}
-
-// minval is 'safe' meaning 1 / minval does not overflow
-inline mpreal minval(mp_prec_t prec)
-{
- /* min = 1/2 * 2^emin = 2^(emin - 1) */
- return mpreal(1, prec) << mpreal::get_emin()-1;
-}
-
-// maxval is 'safe' meaning 1 / maxval does not underflow
-inline mpreal maxval(mp_prec_t prec)
-{
- /* max = (1 - eps) * 2^emax, eps is machine epsilon */
- return (mpreal(1, prec) - machine_epsilon(prec)) << mpreal::get_emax();
-}
-
-inline bool isEqualUlps(const mpreal& a, const mpreal& b, int maxUlps)
-{
- return abs(a - b) <= machine_epsilon((max)(abs(a), abs(b))) * maxUlps;
-}
-
-inline bool isEqualFuzzy(const mpreal& a, const mpreal& b, const mpreal& eps)
-{
- return abs(a - b) <= eps;
-}
-
-inline bool isEqualFuzzy(const mpreal& a, const mpreal& b)
-{
- return isEqualFuzzy(a, b, machine_epsilon((max)(1, (min)(abs(a), abs(b)))));
-}
-
-//////////////////////////////////////////////////////////////////////////
-// C++11 sign functions.
-inline mpreal copysign(const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal rop(0, mpfr_get_prec(x.mpfr_ptr()));
- mpfr_setsign(rop.mpfr_ptr(), x.mpfr_srcptr(), mpfr_signbit(y.mpfr_srcptr()), rnd_mode);
- return rop;
-}
-
-inline bool signbit(const mpreal& x)
-{
- return mpfr_signbit(x.mpfr_srcptr());
-}
-
-inline const mpreal modf(const mpreal& v, mpreal& n)
-{
- mpreal f(v);
-
- // rounding is not important since we are using the same number
- mpfr_frac (f.mpfr_ptr(),f.mpfr_srcptr(),mpreal::get_default_rnd());
- mpfr_trunc(n.mpfr_ptr(),v.mpfr_srcptr());
- return f;
-}
-
-inline int mpreal::check_range (int t, mp_rnd_t rnd_mode)
-{
- return mpfr_check_range(mpfr_ptr(),t,rnd_mode);
-}
-
-inline int mpreal::subnormalize (int t,mp_rnd_t rnd_mode)
-{
- int r = mpfr_subnormalize(mpfr_ptr(),t,rnd_mode);
- MPREAL_MSVC_DEBUGVIEW_CODE;
- return r;
-}
-
-inline mp_exp_t mpreal::get_emin (void)
-{
- return mpfr_get_emin();
-}
-
-inline int mpreal::set_emin (mp_exp_t exp)
-{
- return mpfr_set_emin(exp);
-}
-
-inline mp_exp_t mpreal::get_emax (void)
-{
- return mpfr_get_emax();
-}
-
-inline int mpreal::set_emax (mp_exp_t exp)
-{
- return mpfr_set_emax(exp);
-}
-
-inline mp_exp_t mpreal::get_emin_min (void)
-{
- return mpfr_get_emin_min();
-}
-
-inline mp_exp_t mpreal::get_emin_max (void)
-{
- return mpfr_get_emin_max();
-}
-
-inline mp_exp_t mpreal::get_emax_min (void)
-{
- return mpfr_get_emax_min();
-}
-
-inline mp_exp_t mpreal::get_emax_max (void)
-{
- return mpfr_get_emax_max();
-}
-
-//////////////////////////////////////////////////////////////////////////
-// Mathematical Functions
-//////////////////////////////////////////////////////////////////////////
-#define MPREAL_UNARY_MATH_FUNCTION_BODY(f) \
- mpreal y(0, mpfr_get_prec(x.mpfr_srcptr())); \
- mpfr_##f(y.mpfr_ptr(), x.mpfr_srcptr(), r); \
- return y;
-
-inline const mpreal sqr (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd())
-{ MPREAL_UNARY_MATH_FUNCTION_BODY(sqr ); }
-
-inline const mpreal sqrt (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd())
-{ MPREAL_UNARY_MATH_FUNCTION_BODY(sqrt); }
-
-inline const mpreal sqrt(const unsigned long int x, mp_rnd_t r)
-{
- mpreal y;
- mpfr_sqrt_ui(y.mpfr_ptr(), x, r);
- return y;
-}
-
-inline const mpreal sqrt(const unsigned int v, mp_rnd_t rnd_mode)
-{
- return sqrt(static_cast<unsigned long int>(v),rnd_mode);
-}
-
-inline const mpreal sqrt(const long int v, mp_rnd_t rnd_mode)
-{
- if (v>=0) return sqrt(static_cast<unsigned long int>(v),rnd_mode);
- else return mpreal().setNan(); // NaN
-}
-
-inline const mpreal sqrt(const int v, mp_rnd_t rnd_mode)
-{
- if (v>=0) return sqrt(static_cast<unsigned long int>(v),rnd_mode);
- else return mpreal().setNan(); // NaN
-}
-
-inline const mpreal root(const mpreal& x, unsigned long int k, mp_rnd_t r = mpreal::get_default_rnd())
-{
- mpreal y(0, mpfr_get_prec(x.mpfr_srcptr()));
- mpfr_root(y.mpfr_ptr(), x.mpfr_srcptr(), k, r);
- return y;
-}
-
-inline const mpreal dim(const mpreal& a, const mpreal& b, mp_rnd_t r = mpreal::get_default_rnd())
-{
- mpreal y(0, mpfr_get_prec(a.mpfr_srcptr()));
- mpfr_dim(y.mpfr_ptr(), a.mpfr_srcptr(), b.mpfr_srcptr(), r);
- return y;
-}
-
-inline int cmpabs(const mpreal& a,const mpreal& b)
-{
- return mpfr_cmpabs(a.mpfr_ptr(), b.mpfr_srcptr());
-}
-
-inline int sin_cos(mpreal& s, mpreal& c, const mpreal& v, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- return mpfr_sin_cos(s.mpfr_ptr(), c.mpfr_ptr(), v.mpfr_srcptr(), rnd_mode);
-}
-
-inline const mpreal sqrt (const long double v, mp_rnd_t rnd_mode) { return sqrt(mpreal(v),rnd_mode); }
-inline const mpreal sqrt (const double v, mp_rnd_t rnd_mode) { return sqrt(mpreal(v),rnd_mode); }
-
-inline const mpreal cbrt (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(cbrt ); }
-inline const mpreal fabs (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(abs ); }
-inline const mpreal abs (const mpreal& x, mp_rnd_t r) { MPREAL_UNARY_MATH_FUNCTION_BODY(abs ); }
-inline const mpreal log (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(log ); }
-inline const mpreal log2 (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(log2 ); }
-inline const mpreal log10 (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(log10); }
-inline const mpreal exp (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(exp ); }
-inline const mpreal exp2 (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(exp2 ); }
-inline const mpreal exp10 (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(exp10); }
-inline const mpreal cos (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(cos ); }
-inline const mpreal sin (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(sin ); }
-inline const mpreal tan (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(tan ); }
-inline const mpreal sec (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(sec ); }
-inline const mpreal csc (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(csc ); }
-inline const mpreal cot (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(cot ); }
-inline const mpreal acos (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(acos ); }
-inline const mpreal asin (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(asin ); }
-inline const mpreal atan (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(atan ); }
-
-inline const mpreal logb (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { return log2 (abs(x),r); }
-
-inline const mpreal acot (const mpreal& v, mp_rnd_t r = mpreal::get_default_rnd()) { return atan (1/v, r); }
-inline const mpreal asec (const mpreal& v, mp_rnd_t r = mpreal::get_default_rnd()) { return acos (1/v, r); }
-inline const mpreal acsc (const mpreal& v, mp_rnd_t r = mpreal::get_default_rnd()) { return asin (1/v, r); }
-inline const mpreal acoth (const mpreal& v, mp_rnd_t r = mpreal::get_default_rnd()) { return atanh(1/v, r); }
-inline const mpreal asech (const mpreal& v, mp_rnd_t r = mpreal::get_default_rnd()) { return acosh(1/v, r); }
-inline const mpreal acsch (const mpreal& v, mp_rnd_t r = mpreal::get_default_rnd()) { return asinh(1/v, r); }
-
-inline const mpreal cosh (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(cosh ); }
-inline const mpreal sinh (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(sinh ); }
-inline const mpreal tanh (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(tanh ); }
-inline const mpreal sech (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(sech ); }
-inline const mpreal csch (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(csch ); }
-inline const mpreal coth (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(coth ); }
-inline const mpreal acosh (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(acosh); }
-inline const mpreal asinh (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(asinh); }
-inline const mpreal atanh (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(atanh); }
-
-inline const mpreal log1p (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(log1p ); }
-inline const mpreal expm1 (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(expm1 ); }
-inline const mpreal eint (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(eint ); }
-inline const mpreal gamma (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(gamma ); }
-inline const mpreal tgamma (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(gamma ); }
-inline const mpreal lngamma (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(lngamma); }
-inline const mpreal zeta (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(zeta ); }
-inline const mpreal erf (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(erf ); }
-inline const mpreal erfc (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(erfc ); }
-inline const mpreal besselj0(const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(j0 ); }
-inline const mpreal besselj1(const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(j1 ); }
-inline const mpreal bessely0(const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(y0 ); }
-inline const mpreal bessely1(const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(y1 ); }
-
-inline const mpreal atan2 (const mpreal& y, const mpreal& x, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a(0,(std::max)(y.getPrecision(), x.getPrecision()));
- mpfr_atan2(a.mpfr_ptr(), y.mpfr_srcptr(), x.mpfr_srcptr(), rnd_mode);
- return a;
-}
-
-inline const mpreal hypot (const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a(0,(std::max)(y.getPrecision(), x.getPrecision()));
- mpfr_hypot(a.mpfr_ptr(), x.mpfr_srcptr(), y.mpfr_srcptr(), rnd_mode);
- return a;
-}
-
-inline const mpreal remainder (const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a(0,(std::max)(y.getPrecision(), x.getPrecision()));
- mpfr_remainder(a.mpfr_ptr(), x.mpfr_srcptr(), y.mpfr_srcptr(), rnd_mode);
- return a;
-}
-
-inline const mpreal remquo (long* q, const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a(0,(std::max)(y.getPrecision(), x.getPrecision()));
- mpfr_remquo(a.mpfr_ptr(),q, x.mpfr_srcptr(), y.mpfr_srcptr(), rnd_mode);
- return a;
-}
-
-inline const mpreal fac_ui (unsigned long int v, mp_prec_t prec = mpreal::get_default_prec(),
- mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x(0, prec);
- mpfr_fac_ui(x.mpfr_ptr(),v,rnd_mode);
- return x;
-}
-
-
-inline const mpreal lgamma (const mpreal& v, int *signp = 0, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x(v);
- int tsignp;
-
- if(signp) mpfr_lgamma(x.mpfr_ptr(), signp,v.mpfr_srcptr(),rnd_mode);
- else mpfr_lgamma(x.mpfr_ptr(),&tsignp,v.mpfr_srcptr(),rnd_mode);
-
- return x;
-}
-
-
-inline const mpreal besseljn (long n, const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd())
-{
- mpreal y(0, x.getPrecision());
- mpfr_jn(y.mpfr_ptr(), n, x.mpfr_srcptr(), r);
- return y;
-}
-
-inline const mpreal besselyn (long n, const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd())
-{
- mpreal y(0, x.getPrecision());
- mpfr_yn(y.mpfr_ptr(), n, x.mpfr_srcptr(), r);
- return y;
-}
-
-inline const mpreal fma (const mpreal& v1, const mpreal& v2, const mpreal& v3, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a;
- mp_prec_t p1, p2, p3;
-
- p1 = v1.get_prec();
- p2 = v2.get_prec();
- p3 = v3.get_prec();
-
- a.set_prec(p3>p2?(p3>p1?p3:p1):(p2>p1?p2:p1));
-
- mpfr_fma(a.mp,v1.mp,v2.mp,v3.mp,rnd_mode);
- return a;
-}
-
-inline const mpreal fms (const mpreal& v1, const mpreal& v2, const mpreal& v3, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a;
- mp_prec_t p1, p2, p3;
-
- p1 = v1.get_prec();
- p2 = v2.get_prec();
- p3 = v3.get_prec();
-
- a.set_prec(p3>p2?(p3>p1?p3:p1):(p2>p1?p2:p1));
-
- mpfr_fms(a.mp,v1.mp,v2.mp,v3.mp,rnd_mode);
- return a;
-}
-
-inline const mpreal agm (const mpreal& v1, const mpreal& v2, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a;
- mp_prec_t p1, p2;
-
- p1 = v1.get_prec();
- p2 = v2.get_prec();
-
- a.set_prec(p1>p2?p1:p2);
-
- mpfr_agm(a.mp, v1.mp, v2.mp, rnd_mode);
-
- return a;
-}
-
-inline const mpreal sum (const mpreal tab[], const unsigned long int n, int& status, mp_rnd_t mode = mpreal::get_default_rnd())
-{
- mpfr_srcptr *p = new mpfr_srcptr[n];
-
- for (unsigned long int i = 0; i < n; i++)
- p[i] = tab[i].mpfr_srcptr();
-
- mpreal x;
- status = mpfr_sum(x.mpfr_ptr(), (mpfr_ptr*)p, n, mode);
-
- delete [] p;
- return x;
-}
-
-//////////////////////////////////////////////////////////////////////////
-// MPFR 2.4.0 Specifics
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0))
-
-inline int sinh_cosh(mpreal& s, mpreal& c, const mpreal& v, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- return mpfr_sinh_cosh(s.mp,c.mp,v.mp,rnd_mode);
-}
-
-inline const mpreal li2 (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd())
-{
- MPREAL_UNARY_MATH_FUNCTION_BODY(li2);
-}
-
-inline const mpreal rem (const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- /* R = rem(X,Y) if Y != 0, returns X - n * Y where n = trunc(X/Y). */
- return fmod(x, y, rnd_mode);
-}
-
-inline const mpreal mod (const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- (void)rnd_mode;
-
- /*
-
- m = mod(x,y) if y != 0, returns x - n*y where n = floor(x/y)
-
- The following are true by convention:
- - mod(x,0) is x
- - mod(x,x) is 0
- - mod(x,y) for x != y and y != 0 has the same sign as y.
-
- */
-
- if(iszero(y)) return x;
- if(x == y) return 0;
-
- mpreal m = x - floor(x / y) * y;
-
- m.setSign(sgn(y)); // make sure result has the same sign as Y
-
- return m;
-}
-
-inline const mpreal fmod (const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a;
- mp_prec_t yp, xp;
-
- yp = y.get_prec();
- xp = x.get_prec();
-
- a.set_prec(yp>xp?yp:xp);
-
- mpfr_fmod(a.mp, x.mp, y.mp, rnd_mode);
-
- return a;
-}
-
-inline const mpreal rec_sqrt(const mpreal& v, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x(v);
- mpfr_rec_sqrt(x.mp,v.mp,rnd_mode);
- return x;
-}
-#endif // MPFR 2.4.0 Specifics
-
-//////////////////////////////////////////////////////////////////////////
-// MPFR 3.0.0 Specifics
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,0,0))
-inline const mpreal digamma (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(digamma); }
-inline const mpreal ai (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(ai); }
-#endif // MPFR 3.0.0 Specifics
-
-//////////////////////////////////////////////////////////////////////////
-// Constants
-inline const mpreal const_log2 (mp_prec_t p = mpreal::get_default_prec(), mp_rnd_t r = mpreal::get_default_rnd())
-{
- mpreal x(0, p);
- mpfr_const_log2(x.mpfr_ptr(), r);
- return x;
-}
-
-inline const mpreal const_pi (mp_prec_t p = mpreal::get_default_prec(), mp_rnd_t r = mpreal::get_default_rnd())
-{
- mpreal x(0, p);
- mpfr_const_pi(x.mpfr_ptr(), r);
- return x;
-}
-
-inline const mpreal const_euler (mp_prec_t p = mpreal::get_default_prec(), mp_rnd_t r = mpreal::get_default_rnd())
-{
- mpreal x(0, p);
- mpfr_const_euler(x.mpfr_ptr(), r);
- return x;
-}
-
-inline const mpreal const_catalan (mp_prec_t p = mpreal::get_default_prec(), mp_rnd_t r = mpreal::get_default_rnd())
-{
- mpreal x(0, p);
- mpfr_const_catalan(x.mpfr_ptr(), r);
- return x;
-}
-
-inline const mpreal const_infinity (int sign = 1, mp_prec_t p = mpreal::get_default_prec())
-{
- mpreal x(0, p);
- mpfr_set_inf(x.mpfr_ptr(), sign);
- return x;
-}
-
-//////////////////////////////////////////////////////////////////////////
-// Integer Related Functions
-inline const mpreal ceil(const mpreal& v)
-{
- mpreal x(v);
- mpfr_ceil(x.mp,v.mp);
- return x;
-}
-
-inline const mpreal floor(const mpreal& v)
-{
- mpreal x(v);
- mpfr_floor(x.mp,v.mp);
- return x;
-}
-
-inline const mpreal round(const mpreal& v)
-{
- mpreal x(v);
- mpfr_round(x.mp,v.mp);
- return x;
-}
-
-inline const mpreal trunc(const mpreal& v)
-{
- mpreal x(v);
- mpfr_trunc(x.mp,v.mp);
- return x;
-}
-
-inline const mpreal rint (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(rint ); }
-inline const mpreal rint_ceil (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(rint_ceil ); }
-inline const mpreal rint_floor (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(rint_floor); }
-inline const mpreal rint_round (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(rint_round); }
-inline const mpreal rint_trunc (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(rint_trunc); }
-inline const mpreal frac (const mpreal& x, mp_rnd_t r = mpreal::get_default_rnd()) { MPREAL_UNARY_MATH_FUNCTION_BODY(frac ); }
-
-//////////////////////////////////////////////////////////////////////////
-// Miscellaneous Functions
-inline void swap (mpreal& a, mpreal& b) { mpfr_swap(a.mp,b.mp); }
-inline const mpreal (max)(const mpreal& x, const mpreal& y){ return (x>y?x:y); }
-inline const mpreal (min)(const mpreal& x, const mpreal& y){ return (x<y?x:y); }
-
-inline const mpreal fmax(const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a;
- mpfr_max(a.mp,x.mp,y.mp,rnd_mode);
- return a;
-}
-
-inline const mpreal fmin(const mpreal& x, const mpreal& y, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal a;
- mpfr_min(a.mp,x.mp,y.mp,rnd_mode);
- return a;
-}
-
-inline const mpreal nexttoward (const mpreal& x, const mpreal& y)
-{
- mpreal a(x);
- mpfr_nexttoward(a.mp,y.mp);
- return a;
-}
-
-inline const mpreal nextabove (const mpreal& x)
-{
- mpreal a(x);
- mpfr_nextabove(a.mp);
- return a;
-}
-
-inline const mpreal nextbelow (const mpreal& x)
-{
- mpreal a(x);
- mpfr_nextbelow(a.mp);
- return a;
-}
-
-inline const mpreal urandomb (gmp_randstate_t& state)
-{
- mpreal x;
- mpfr_urandomb(x.mpfr_ptr(),state);
- return x;
-}
-
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,0,0))
-inline const mpreal urandom (gmp_randstate_t& state, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x;
- mpfr_urandom(x.mpfr_ptr(), state, rnd_mode);
- return x;
-}
-#endif
-
-#if (MPFR_VERSION <= MPFR_VERSION_NUM(2,4,2))
-inline const mpreal random2 (mp_size_t size, mp_exp_t exp)
-{
- mpreal x;
- mpfr_random2(x.mpfr_ptr(),size,exp);
- return x;
-}
-#endif
-
-// Uniformly distributed random number generation
-// a = random(seed); <- initialization & first random number generation
-// a = random(); <- next random numbers generation
-// seed != 0
-inline const mpreal random(unsigned int seed = 0)
-{
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,0,0))
- static gmp_randstate_t state;
- static bool initialize = true;
-
- if(initialize)
- {
- gmp_randinit_default(state);
- gmp_randseed_ui(state,0);
- initialize = false;
- }
-
- if(seed != 0) gmp_randseed_ui(state,seed);
-
- return mpfr::urandom(state);
-#else
- if(seed != 0) std::srand(seed);
- return mpfr::mpreal(std::rand()/(double)RAND_MAX);
-#endif
-
-}
-
-#if (MPFR_VERSION >= MPFR_VERSION_NUM(3,1,0))
-
-inline const mpreal grandom (gmp_randstate_t& state, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x;
- mpfr_grandom(x.mpfr_ptr(), NULL, state, rnd_mode);
- return x;
-}
-
-inline const mpreal grandom(unsigned int seed = 0)
-{
- static gmp_randstate_t state;
- static bool initialize = true;
-
- if(initialize)
- {
- gmp_randinit_default(state);
- gmp_randseed_ui(state,0);
- initialize = false;
- }
-
- if(seed != 0) gmp_randseed_ui(state,seed);
-
- return mpfr::grandom(state);
-}
-#endif
-
-//////////////////////////////////////////////////////////////////////////
-// Set/Get global properties
-inline void mpreal::set_default_prec(mp_prec_t prec)
-{
- mpfr_set_default_prec(prec);
-}
-
-inline void mpreal::set_default_rnd(mp_rnd_t rnd_mode)
-{
- mpfr_set_default_rounding_mode(rnd_mode);
-}
-
-inline bool mpreal::fits_in_bits(double x, int n)
-{
- int i;
- double t;
- return IsInf(x) || (std::modf ( std::ldexp ( std::frexp ( x, &i ), n ), &t ) == 0.0);
-}
-
-inline const mpreal pow(const mpreal& a, const mpreal& b, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x(a);
- mpfr_pow(x.mp,x.mp,b.mp,rnd_mode);
- return x;
-}
-
-inline const mpreal pow(const mpreal& a, const mpz_t b, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x(a);
- mpfr_pow_z(x.mp,x.mp,b,rnd_mode);
- return x;
-}
-
-inline const mpreal pow(const mpreal& a, const unsigned long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x(a);
- mpfr_pow_ui(x.mp,x.mp,b,rnd_mode);
- return x;
-}
-
-inline const mpreal pow(const mpreal& a, const unsigned int b, mp_rnd_t rnd_mode)
-{
- return pow(a,static_cast<unsigned long int>(b),rnd_mode);
-}
-
-inline const mpreal pow(const mpreal& a, const long int b, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x(a);
- mpfr_pow_si(x.mp,x.mp,b,rnd_mode);
- return x;
-}
-
-inline const mpreal pow(const mpreal& a, const int b, mp_rnd_t rnd_mode)
-{
- return pow(a,static_cast<long int>(b),rnd_mode);
-}
-
-inline const mpreal pow(const mpreal& a, const long double b, mp_rnd_t rnd_mode)
-{
- return pow(a,mpreal(b),rnd_mode);
-}
-
-inline const mpreal pow(const mpreal& a, const double b, mp_rnd_t rnd_mode)
-{
- return pow(a,mpreal(b),rnd_mode);
-}
-
-inline const mpreal pow(const unsigned long int a, const mpreal& b, mp_rnd_t rnd_mode = mpreal::get_default_rnd())
-{
- mpreal x(a);
- mpfr_ui_pow(x.mp,a,b.mp,rnd_mode);
- return x;
-}
-
-inline const mpreal pow(const unsigned int a, const mpreal& b, mp_rnd_t rnd_mode)
-{
- return pow(static_cast<unsigned long int>(a),b,rnd_mode);
-}
-
-inline const mpreal pow(const long int a, const mpreal& b, mp_rnd_t rnd_mode)
-{
- if (a>=0) return pow(static_cast<unsigned long int>(a),b,rnd_mode);
- else return pow(mpreal(a),b,rnd_mode);
-}
-
-inline const mpreal pow(const int a, const mpreal& b, mp_rnd_t rnd_mode)
-{
- if (a>=0) return pow(static_cast<unsigned long int>(a),b,rnd_mode);
- else return pow(mpreal(a),b,rnd_mode);
-}
-
-inline const mpreal pow(const long double a, const mpreal& b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),b,rnd_mode);
-}
-
-inline const mpreal pow(const double a, const mpreal& b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),b,rnd_mode);
-}
-
-// pow unsigned long int
-inline const mpreal pow(const unsigned long int a, const unsigned long int b, mp_rnd_t rnd_mode)
-{
- mpreal x(a);
- mpfr_ui_pow_ui(x.mp,a,b,rnd_mode);
- return x;
-}
-
-inline const mpreal pow(const unsigned long int a, const unsigned int b, mp_rnd_t rnd_mode)
-{
- return pow(a,static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
-}
-
-inline const mpreal pow(const unsigned long int a, const long int b, mp_rnd_t rnd_mode)
-{
- if(b>0) return pow(a,static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(a,mpreal(b),rnd_mode); //mpfr_ui_pow
-}
-
-inline const mpreal pow(const unsigned long int a, const int b, mp_rnd_t rnd_mode)
-{
- if(b>0) return pow(a,static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(a,mpreal(b),rnd_mode); //mpfr_ui_pow
-}
-
-inline const mpreal pow(const unsigned long int a, const long double b, mp_rnd_t rnd_mode)
-{
- return pow(a,mpreal(b),rnd_mode); //mpfr_ui_pow
-}
-
-inline const mpreal pow(const unsigned long int a, const double b, mp_rnd_t rnd_mode)
-{
- return pow(a,mpreal(b),rnd_mode); //mpfr_ui_pow
-}
-
-// pow unsigned int
-inline const mpreal pow(const unsigned int a, const unsigned long int b, mp_rnd_t rnd_mode)
-{
- return pow(static_cast<unsigned long int>(a),b,rnd_mode); //mpfr_ui_pow_ui
-}
-
-inline const mpreal pow(const unsigned int a, const unsigned int b, mp_rnd_t rnd_mode)
-{
- return pow(static_cast<unsigned long int>(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
-}
-
-inline const mpreal pow(const unsigned int a, const long int b, mp_rnd_t rnd_mode)
-{
- if(b>0) return pow(static_cast<unsigned long int>(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
-}
-
-inline const mpreal pow(const unsigned int a, const int b, mp_rnd_t rnd_mode)
-{
- if(b>0) return pow(static_cast<unsigned long int>(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
-}
-
-inline const mpreal pow(const unsigned int a, const long double b, mp_rnd_t rnd_mode)
-{
- return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
-}
-
-inline const mpreal pow(const unsigned int a, const double b, mp_rnd_t rnd_mode)
-{
- return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
-}
-
-// pow long int
-inline const mpreal pow(const long int a, const unsigned long int b, mp_rnd_t rnd_mode)
-{
- if (a>0) return pow(static_cast<unsigned long int>(a),b,rnd_mode); //mpfr_ui_pow_ui
- else return pow(mpreal(a),b,rnd_mode); //mpfr_pow_ui
-}
-
-inline const mpreal pow(const long int a, const unsigned int b, mp_rnd_t rnd_mode)
-{
- if (a>0) return pow(static_cast<unsigned long int>(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(mpreal(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_pow_ui
-}
-
-inline const mpreal pow(const long int a, const long int b, mp_rnd_t rnd_mode)
-{
- if (a>0)
- {
- if(b>0) return pow(static_cast<unsigned long int>(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
- }else{
- return pow(mpreal(a),b,rnd_mode); // mpfr_pow_si
- }
-}
-
-inline const mpreal pow(const long int a, const int b, mp_rnd_t rnd_mode)
-{
- if (a>0)
- {
- if(b>0) return pow(static_cast<unsigned long int>(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
- }else{
- return pow(mpreal(a),static_cast<long int>(b),rnd_mode); // mpfr_pow_si
- }
-}
-
-inline const mpreal pow(const long int a, const long double b, mp_rnd_t rnd_mode)
-{
- if (a>=0) return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
- else return pow(mpreal(a),mpreal(b),rnd_mode); //mpfr_pow
-}
-
-inline const mpreal pow(const long int a, const double b, mp_rnd_t rnd_mode)
-{
- if (a>=0) return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
- else return pow(mpreal(a),mpreal(b),rnd_mode); //mpfr_pow
-}
-
-// pow int
-inline const mpreal pow(const int a, const unsigned long int b, mp_rnd_t rnd_mode)
-{
- if (a>0) return pow(static_cast<unsigned long int>(a),b,rnd_mode); //mpfr_ui_pow_ui
- else return pow(mpreal(a),b,rnd_mode); //mpfr_pow_ui
-}
-
-inline const mpreal pow(const int a, const unsigned int b, mp_rnd_t rnd_mode)
-{
- if (a>0) return pow(static_cast<unsigned long int>(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(mpreal(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_pow_ui
-}
-
-inline const mpreal pow(const int a, const long int b, mp_rnd_t rnd_mode)
-{
- if (a>0)
- {
- if(b>0) return pow(static_cast<unsigned long int>(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
- }else{
- return pow(mpreal(a),b,rnd_mode); // mpfr_pow_si
- }
-}
-
-inline const mpreal pow(const int a, const int b, mp_rnd_t rnd_mode)
-{
- if (a>0)
- {
- if(b>0) return pow(static_cast<unsigned long int>(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_ui_pow_ui
- else return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
- }else{
- return pow(mpreal(a),static_cast<long int>(b),rnd_mode); // mpfr_pow_si
- }
-}
-
-inline const mpreal pow(const int a, const long double b, mp_rnd_t rnd_mode)
-{
- if (a>=0) return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
- else return pow(mpreal(a),mpreal(b),rnd_mode); //mpfr_pow
-}
-
-inline const mpreal pow(const int a, const double b, mp_rnd_t rnd_mode)
-{
- if (a>=0) return pow(static_cast<unsigned long int>(a),mpreal(b),rnd_mode); //mpfr_ui_pow
- else return pow(mpreal(a),mpreal(b),rnd_mode); //mpfr_pow
-}
-
-// pow long double
-inline const mpreal pow(const long double a, const long double b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),mpreal(b),rnd_mode);
-}
-
-inline const mpreal pow(const long double a, const unsigned long int b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),b,rnd_mode); //mpfr_pow_ui
-}
-
-inline const mpreal pow(const long double a, const unsigned int b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),static_cast<unsigned long int>(b),rnd_mode); //mpfr_pow_ui
-}
-
-inline const mpreal pow(const long double a, const long int b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),b,rnd_mode); // mpfr_pow_si
-}
-
-inline const mpreal pow(const long double a, const int b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),static_cast<long int>(b),rnd_mode); // mpfr_pow_si
-}
-
-inline const mpreal pow(const double a, const double b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),mpreal(b),rnd_mode);
-}
-
-inline const mpreal pow(const double a, const unsigned long int b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),b,rnd_mode); // mpfr_pow_ui
-}
-
-inline const mpreal pow(const double a, const unsigned int b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),static_cast<unsigned long int>(b),rnd_mode); // mpfr_pow_ui
-}
-
-inline const mpreal pow(const double a, const long int b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),b,rnd_mode); // mpfr_pow_si
-}
-
-inline const mpreal pow(const double a, const int b, mp_rnd_t rnd_mode)
-{
- return pow(mpreal(a),static_cast<long int>(b),rnd_mode); // mpfr_pow_si
-}
-} // End of mpfr namespace
-
-// Explicit specialization of std::swap for mpreal numbers
-// Thus standard algorithms will use efficient version of swap (due to Koenig lookup)
-// Non-throwing swap C++ idiom: http://en.wikibooks.org/wiki/More_C%2B%2B_Idioms/Non-throwing_swap
-namespace std
-{
- // we are allowed to extend namespace std with specializations only
- template <>
- inline void swap(mpfr::mpreal& x, mpfr::mpreal& y)
- {
- return mpfr::swap(x, y);
- }
-
- template<>
- class numeric_limits<mpfr::mpreal>
- {
- public:
- static const bool is_specialized = true;
- static const bool is_signed = true;
- static const bool is_integer = false;
- static const bool is_exact = false;
- static const int radix = 2;
-
- static const bool has_infinity = true;
- static const bool has_quiet_NaN = true;
- static const bool has_signaling_NaN = true;
-
- static const bool is_iec559 = true; // = IEEE 754
- static const bool is_bounded = true;
- static const bool is_modulo = false;
- static const bool traps = true;
- static const bool tinyness_before = true;
-
- static const float_denorm_style has_denorm = denorm_absent;
-
- inline static mpfr::mpreal (min) (mp_prec_t precision = mpfr::mpreal::get_default_prec()) { return mpfr::minval(precision); }
- inline static mpfr::mpreal (max) (mp_prec_t precision = mpfr::mpreal::get_default_prec()) { return mpfr::maxval(precision); }
- inline static mpfr::mpreal lowest (mp_prec_t precision = mpfr::mpreal::get_default_prec()) { return -mpfr::maxval(precision); }
-
- // Returns smallest eps such that 1 + eps != 1 (classic machine epsilon)
- inline static mpfr::mpreal epsilon(mp_prec_t precision = mpfr::mpreal::get_default_prec()) { return mpfr::machine_epsilon(precision); }
-
- // Returns smallest eps such that x + eps != x (relative machine epsilon)
- inline static mpfr::mpreal epsilon(const mpfr::mpreal& x) { return mpfr::machine_epsilon(x); }
-
- inline static mpfr::mpreal round_error(mp_prec_t precision = mpfr::mpreal::get_default_prec())
- {
- mp_rnd_t r = mpfr::mpreal::get_default_rnd();
-
- if(r == GMP_RNDN) return mpfr::mpreal(0.5, precision);
- else return mpfr::mpreal(1.0, precision);
- }
-
- inline static const mpfr::mpreal infinity() { return mpfr::const_infinity(); }
- inline static const mpfr::mpreal quiet_NaN() { return mpfr::mpreal().setNan(); }
- inline static const mpfr::mpreal signaling_NaN() { return mpfr::mpreal().setNan(); }
- inline static const mpfr::mpreal denorm_min() { return (min)(); }
-
- // Please note, exponent range is not fixed in MPFR
- static const int min_exponent = MPFR_EMIN_DEFAULT;
- static const int max_exponent = MPFR_EMAX_DEFAULT;
- MPREAL_PERMISSIVE_EXPR static const int min_exponent10 = (int) (MPFR_EMIN_DEFAULT * 0.3010299956639811);
- MPREAL_PERMISSIVE_EXPR static const int max_exponent10 = (int) (MPFR_EMAX_DEFAULT * 0.3010299956639811);
-
-#ifdef MPREAL_HAVE_DYNAMIC_STD_NUMERIC_LIMITS
-
- // Following members should be constant according to standard, but they can be variable in MPFR
- // So we define them as functions here.
- //
- // This is preferable way for std::numeric_limits<mpfr::mpreal> specialization.
- // But it is incompatible with standard std::numeric_limits and might not work with other libraries, e.g. boost.
- // See below for compatible implementation.
- inline static float_round_style round_style()
- {
- mp_rnd_t r = mpfr::mpreal::get_default_rnd();
-
- switch (r)
- {
- case GMP_RNDN: return round_to_nearest;
- case GMP_RNDZ: return round_toward_zero;
- case GMP_RNDU: return round_toward_infinity;
- case GMP_RNDD: return round_toward_neg_infinity;
- default: return round_indeterminate;
- }
- }
-
- inline static int digits() { return int(mpfr::mpreal::get_default_prec()); }
- inline static int digits(const mpfr::mpreal& x) { return x.getPrecision(); }
-
- inline static int digits10(mp_prec_t precision = mpfr::mpreal::get_default_prec())
- {
- return mpfr::bits2digits(precision);
- }
-
- inline static int digits10(const mpfr::mpreal& x)
- {
- return mpfr::bits2digits(x.getPrecision());
- }
-
- inline static int max_digits10(mp_prec_t precision = mpfr::mpreal::get_default_prec())
- {
- return digits10(precision);
- }
-#else
- // Digits and round_style are NOT constants when it comes to mpreal.
- // If possible, please use functions digits() and round_style() defined above.
- //
- // These (default) values are preserved for compatibility with existing libraries, e.g. boost.
- // Change them accordingly to your application.
- //
- // For example, if you use 256 bits of precision uniformly in your program, then:
- // digits = 256
- // digits10 = 77
- // max_digits10 = 78
- //
- // Approximate formula for decimal digits is: digits10 = floor(log10(2) * digits). See bits2digits() for more details.
-
- static const std::float_round_style round_style = round_to_nearest;
- static const int digits = 53;
- static const int digits10 = 15;
- static const int max_digits10 = 16;
-#endif
- };
-
-}
-
-#endif /* __MPREAL_H__ */
generated by cgit v1.2.3 (git 2.25.1) at 2024-05-12 09:28:01 +0000