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real.hpp
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real.hpp
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//
// SHORT DESCRIPTION
// =================
//
// mpfr::real is a C++ interface to the GNU MPFR library
// version 3.0.0 or later.
//
// COPYRIGHT/LICENSE
// =================
//
// Copyright 2010,2011,2012 Christian Schneider <software(at)chschneider(dot)eu>
//
// Version: 0.0.9-alpha
//
// This file is part of mpfr::real.
//
// mpfr::real 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, version 3 of the License, NOT any later
// version.
//
// mpfr::real 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 mpfr::real. If not, see <http://www.gnu.org/licenses/>.
//
#ifndef MPFR_REAL_HPP
#define MPFR_REAL_HPP 1
// //////////////////////////////////////////////////////////////////
// inclusion of headers
// //////////////////////////////////////////////////////////////////
#include <mpfr.h>
#include <cmath> // for returned values of fpclassify() etc.
#include <iostream>
#include <limits>
#include <sstream>
#include <string>
// //////////////////////////////////////////////////////////////////
// default template arguments
// //////////////////////////////////////////////////////////////////
#ifndef MPFR_REAL_CLASS_PREC_DFLT
#define MPFR_REAL_CLASS_PREC_DFLT 53
#endif // MPFR_REAL_CLASS_PREC_DFLT
#ifndef MPFR_REAL_CLASS_RND_DFLT
#define MPFR_REAL_CLASS_RND_DFLT MPFR_RNDN
#endif // MPFR_REAL_CLASS_RND_DFLT
// default template arguments for functions are only supported for C++0x
// (the test is not reliable for every compiler! improvements are welcome ...)
#if (__cplusplus > 199711L) || (__GXX_EXPERIMENTAL_CXX0X__ == 1)
#define MPFR_REAL_FUNC_PREC_DFLT = MPFR_REAL_CLASS_PREC_DFLT
#define MPFR_REAL_FUNC_RND_DFLT = MPFR_REAL_CLASS_RND_DFLT
#else
#define MPFR_REAL_FUNC_PREC_DFLT
#define MPFR_REAL_FUNC_RND_DFLT
#endif // (__cplusplus > 199711L) || (__GXX_EXPERIMENTAL_CXX0X__ == 1)
// //////////////////////////////////////////////////////////////////
// namespace of MPFR functions
// //////////////////////////////////////////////////////////////////
#ifndef MPFR_NS
#define MPFR_NS
#endif // MPFR_NS
// //////////////////////////////////////////////////////////////////
// workaround for VC++
// //////////////////////////////////////////////////////////////////
#ifdef _MSC_VER
#define MPFR_REAL_DATA_PUBLIC 1
#endif // _MSC_VER
namespace mpfr {
// ////////////////////////////////////////////////////////////////
// return values for fpclassify() (for VC++)
// ////////////////////////////////////////////////////////////////
#ifdef _MSC_VER
enum {
FP_NAN,
FP_INFINITE,
FP_ZERO,
FP_SUBNORMAL,
FP_NORMAL
};
#endif // _MSC_VER
} // namespace mpfr
namespace mpfr {
// //////////////////////////////////////////////////////////////////
// type definitions
// //////////////////////////////////////////////////////////////////
typedef mpfr_prec_t real_prec_t;
typedef mp_exp_t real_exp_t;
typedef mpfr_rnd_t real_rnd_t;
// exception type
class exception_real: public std::exception {
public:
exception_real(const std::string& msg = "exception_real")
throw(): _msg(msg) {}
virtual ~exception_real() throw() {}
// returns cause of error
virtual const char* what() const throw() { return _msg.c_str(); };
private:
std::string _msg;
};
} // namespace mpfr
namespace mpfr {
// //////////////////////////////////////////////////////////////////
// helper functions
// //////////////////////////////////////////////////////////////////
inline int helper_set_stdstr(mpfr_ptr rop,
const std::string& op,
mpfr_rnd_t rnd) {
const int err = MPFR_NS mpfr_set_str(rop, op.c_str(), 0, rnd);
if (err == -1)
throw exception_real(
std::string("in mpfr::helper_set_stdstr(mpfr_ptr, const std::string&, mpfr_rnd_t):\n invalid input format ")
+ op);
return err;
}
inline int helper_set_charptr(mpfr_ptr rop,
const char* op,
mpfr_rnd_t rnd) {
const int err = MPFR_NS mpfr_set_str(rop, op, 0, rnd);
if (err == -1)
throw exception_real(
std::string("in mpfr::helper_set_charptr(mpfr_ptr, const char*, mpfr_rnd_t):\n invalid input format ")
+ op);
return err;
}
// there might be some room for improvements for the next
// missing: handling of ios_base::fixed/ios_base::scientific and
// ios_base::showpoint
inline std::ostream& helper_ostream(std::ostream& s,
const mpfr_t x,
mpfr_rnd_t rnd) {
real_exp_t exp;
char* ch = MPFR_NS mpfr_get_str(0, &exp, 10,
static_cast<size_t>(s.precision() + 1), x, rnd);
if (! ch)
throw exception_real(
"in std::ostream& operator <<(std::ostream& s, const real<_prec, _rnd>& r):\n conversion failed");
std::string t = ch;
MPFR_NS mpfr_free_str(ch);
const std::ios_base::fmtflags flags = s.flags();
std::string::iterator t_iter = t.begin();
if (*t_iter == '-')
t_iter++;
// digit?
if ( *t_iter == '0' || *t_iter == '1' || *t_iter == '2' || *t_iter == '3'
|| *t_iter == '4' || *t_iter == '5' || *t_iter == '6' || *t_iter == '7'
|| *t_iter == '8' || *t_iter == '9') {
// positive sign
if ((t_iter == t.begin()) && (flags & std::ios_base::showpos)) {
t_iter = t.insert(t_iter, '+');
t_iter++;
}
// decimal point
t_iter++;
t.insert(t_iter, '.');
// fixing exponent after insertion of decimal point
// why must life be so difficult? (any suggestions for improvements?)
if (! MPFR_NS mpfr_zero_p(x)) {
const real_exp_t exp_prev = exp;
volatile real_exp_t* exp_ptr = &exp;
exp--;
if (*exp_ptr > exp_prev)
throw exception_real(
"in std::ostream& operator <<(std::ostream& s, const real<_prec, _rnd>& r):\n exponent out of range");
}
// composing of the exponent
if (flags & std::ios_base::uppercase)
t += 'E';
else
t += 'e';
if (exp >= 0)
t += '+';
else {
t += '-';
exp = -exp;
}
if (exp >= -9 && exp <= 9)
t += '0';
std::stringstream temp;
temp << exp;
t += temp.str();
}
// width and adjustment
if (s.width() > 0 && static_cast<unsigned int>(s.width()) > t.size()) {
if (flags & std::ios_base::left)
t_iter = t.end();
else if (flags & std::ios_base::internal) {
t_iter = t.begin();
if (*t_iter == '+' || *t_iter == '-')
t_iter++;
}
else
t_iter = t.begin();
while (t.size() < static_cast<unsigned int>(s.width()))
t_iter = t.insert(t_iter, s.fill());
}
s << t;
return s;
}
enum {
MANT_SIGN = 0x01, // leading sign
MANT_DIGIT = 0x02, // digits before decimal point
MANT_POINT = 0x04, // decimal point
MANT_FDIGIT = 0x08, // digits after decimal point
EXP_SYMBOL = 0x10, // symbol of exponent ('e' or 'E')
EXP_SIGN = 0x20, // sign of exponent
EXP_DIGIT = 0x40, // digits of exponent
MASK_EXP = (EXP_SYMBOL | EXP_SIGN | EXP_DIGIT),
MASK_NINT = (MANT_POINT | MANT_FDIGIT | MASK_EXP) // non-integral
};
inline bool helper_extract_float(std::istream& s,
std::string& num) {
bool ok = true;
unsigned int parts = 0x00;
char c;
while (s.get(c) && ok) {
if (c == '+' || c == '-') {
// very beginning
if (parts == 0x00) {
num += c;
parts |= MANT_SIGN;
}
// has symbol of exponent, but not yet a sign or digit
else if ((parts & MASK_EXP) == EXP_SYMBOL) {
num += c;
parts |= EXP_SIGN;
}
// end of number
else {
s.putback(c);
break;
}
}
else if (c == '.') {
// does not yet have a decimal point or anything after it
if ((parts & MASK_NINT) == 0x00) {
num += c;
parts |= MANT_POINT;
}
// end of number
else {
s.putback(c);
break;
}
}
else if (c == 'e' || c == 'E') {
// must have a digit && must not yet have an expontential
if ( (parts & (MANT_DIGIT | MANT_FDIGIT)) != 0x00
&& (parts & MASK_EXP) == 0x00) {
num += c;
parts |= EXP_SYMBOL;
}
// bad syntax
else {
s.putback(c);
ok = false;
}
}
else if ( c == '0' || c == '1' || c == '2' || c == '3'
|| c == '4' || c == '5' || c == '6' || c == '7'
|| c == '8' || c == '9') {
// before decimal point
if ((parts & MASK_NINT) == 0x00) {
num += c;
parts |= MANT_DIGIT;
}
// after decimal point
else if ((parts & MASK_EXP) == 0x00) {
num += c;
parts |= MANT_FDIGIT;
}
// in exponent
else if ((parts & EXP_SYMBOL) != 0x00) {
num += c;
parts |= EXP_DIGIT;
}
// some strange error?
else {
s.putback(c);
ok = false;
}
}
// other character => end of parsing
else {
s.putback(c);
break;
}
} // while (s.good() && ok)
// further syntax checks
// must have a digit, if a character has been parsed
if ( parts != 0x00
&& (parts & (MANT_DIGIT | MANT_FDIGIT)) == 0x00)
ok = false;
// must have a digit in exponent, if symbol of exponent is set
else if ( (parts & EXP_SYMBOL) != 0x00
&& (parts & EXP_DIGIT) == 0x00)
ok = false;
return ok;
}
} // namespace mpfr
namespace mpfr {
// //////////////////////////////////////////////////////////////
// declaration of real
// //////////////////////////////////////////////////////////////
template <real_prec_t _prec, real_rnd_t _rnd>
class real;
// //////////////////////////////////////////////////////////////////
// type traits
// //////////////////////////////////////////////////////////////////
template <class _Tp1, class _Tp2, bool _overwrite>
struct type_traits {
typedef _Tp1 real_type;
typedef _Tp2 other_type;
// support level in class real
static const bool enable_impl_ctor = false; // implicit ctor (else expl.)
static const bool enable_assign_op = false; // assignment operator
static const bool enable_conv_func = false; // conversion member function
static const bool enable_arithm_ops = false; // arithmetic operators
static const bool enable_compar_ops = false; // comparison operators
static const bool enable_math_funcs = false; // mathematical functions
// support in MPFR library
// (Note: "has_get_a" beats "has_get_b", if both are "true".)
static const bool has_set = false;
static const bool has_get_a = false;
static const bool has_get_b = false;
static const bool has_add = false;
static const bool has_sub_a = false;
static const bool has_sub_b = false;
static const bool has_mul = false;
static const bool has_div_a = false;
static const bool has_div_b = false;
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, unsigned long int, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef unsigned long int other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const unsigned long int op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_ui(rop, op, rnd);
}
inline static unsigned long int get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_get_ui(op, rnd);
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const unsigned long int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_ui(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const unsigned long int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_ui(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const unsigned long int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_ui_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const unsigned long int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_ui(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const unsigned long int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_ui(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const unsigned long int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_ui_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, long int, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef long int other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const long int op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_si(rop, op, rnd);
}
inline static long int get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_get_si(op, rnd);
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const long int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_si(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const long int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_si(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const long int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const long int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_si(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const long int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_si(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const long int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, unsigned int, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef unsigned int other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const unsigned int op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_ui(rop, op, rnd);
}
inline static unsigned int get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return static_cast<unsigned int>(MPFR_NS mpfr_get_ui(op, rnd));
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const unsigned int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_ui(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const unsigned int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_ui(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const unsigned int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_ui_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const unsigned int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_ui(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const unsigned int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_ui(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const unsigned int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_ui_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, int, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef int other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const int op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_si(rop, op, rnd);
}
inline static int get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return static_cast<int>(MPFR_NS mpfr_get_si(op, rnd));
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_si(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_si(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_si(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_si(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, unsigned short int, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef unsigned short int other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const unsigned short int op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_ui(rop, op, rnd);
}
inline static unsigned short int get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return static_cast<unsigned short int>(MPFR_NS mpfr_get_ui(op, rnd));
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const unsigned short int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_ui(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const unsigned short int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_ui(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const unsigned short int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_ui_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const unsigned short int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_ui(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const unsigned short int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_ui(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const unsigned short int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_ui_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, short int, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef short int other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const short int op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_si(rop, op, rnd);
}
inline static short int get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return static_cast<short int>(MPFR_NS mpfr_get_si(op, rnd));
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const short int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_si(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const short int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_si(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const short int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const short int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_si(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const short int op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_si(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const short int op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, unsigned char, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef unsigned char other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const unsigned char op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_ui(rop, op, rnd);
}
inline static unsigned char get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return static_cast<unsigned char>(MPFR_NS mpfr_get_ui(op, rnd));
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const unsigned char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_ui(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const unsigned char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_ui(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const unsigned char op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_ui_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const unsigned char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_ui(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const unsigned char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_ui(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const unsigned char op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_ui_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, signed char, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef signed char other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const signed char op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_si(rop, op, rnd);
}
inline static signed char get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return static_cast<signed char>(MPFR_NS mpfr_get_si(op, rnd));
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const signed char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_si(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const signed char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_si(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const signed char op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const signed char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_si(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const signed char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_si(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const signed char op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, char, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef char other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const char op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_si(rop, op, rnd);
}
inline static char get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return static_cast<char>(MPFR_NS mpfr_get_si(op, rnd));
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_si(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_si(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const char op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_si(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const char op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_si(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const char op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_si_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, double, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef double other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const double op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_d(rop, op, rnd);
}
inline static double get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_get_d(op, rnd);
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const double op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_d(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const double op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_d(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const double op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_d_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const double op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_d(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const double op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_d(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const double op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_d_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, float, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef float other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = true;
static const bool has_sub_a = true;
static const bool has_sub_b = true;
static const bool has_mul = true;
static const bool has_div_a = true;
static const bool has_div_b = true;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const float op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_flt(rop, op, rnd);
}
inline static float get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_get_flt(op, rnd);
}
inline static int add(mpfr_ptr rop, mpfr_srcptr op1, const float op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_add_d(rop, op1, op2, rnd);
}
inline static int sub_a(mpfr_ptr rop, mpfr_srcptr op1, const float op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_sub_d(rop, op1, op2, rnd);
}
inline static int sub_b(mpfr_ptr rop, const float op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_d_sub(rop, op1, op2, rnd);
}
inline static int mul(mpfr_ptr rop, mpfr_srcptr op1, const float op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_mul_d(rop, op1, op2, rnd);
}
inline static int div_a(mpfr_ptr rop, mpfr_srcptr op1, const float op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_div_d(rop, op1, op2, rnd);
}
inline static int div_b(mpfr_ptr rop, const float op1, mpfr_srcptr op2, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_d_div(rop, op1, op2, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, long double, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef long double other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;
static const bool enable_compar_ops = true;
static const bool enable_math_funcs = true;
// support in MPFR library
static const bool has_set = true;
static const bool has_get_a = true;
static const bool has_get_b = false;
static const bool has_add = false;
static const bool has_sub_a = false;
static const bool has_sub_b = false;
static const bool has_mul = false;
static const bool has_div_a = false;
static const bool has_div_b = false;
// functions in MPFR library
// (must be defined if corresponding "has_..." boolean is set to "true")
inline static int set(mpfr_ptr rop, const long double op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_set_ld(rop, op, rnd);
}
inline static long double get_a(mpfr_srcptr op, mpfr_rnd_t rnd) {
return MPFR_NS mpfr_get_ld(op, rnd);
}
};
template <real_prec_t _prec, real_rnd_t _rnd, bool _overwrite>
struct type_traits<real<_prec, _rnd>, mpz_t, _overwrite> {
typedef real<_prec, _rnd> real_type;
typedef mpz_t other_type;
// support level in class real
static const bool enable_impl_ctor = true;
static const bool enable_assign_op = true;
static const bool enable_conv_func = true;
static const bool enable_arithm_ops = true;