numeric.h File Reference

Makes the interface to the underlying bignum package available. More...

#include "basic.h"
#include "ex.h"
#include "archive.h"
#include <cln/complex.h>
#include <stdexcept>
#include <vector>

Go to the source code of this file.

Classes
class	GiNaC::_numeric_digits
	This class is used to instantiate a global singleton object Digits which behaves just like Maple's Digits. More...
class	GiNaC::pole_error
	Exception class thrown when a singularity is encountered. More...
class	GiNaC::numeric
	This class is a wrapper around CLN-numbers within the GiNaC class hierarchy. More...

Namespaces
namespace	GiNaC

Typedefs
typedef void(*	GiNaC::digits_changed_callback) (long)
	Function pointer to implement callbacks in the case 'Digits' gets changed. More...

Functions
	GiNaC::GINAC_DECLARE_UNARCHIVER (numeric)
const numeric	GiNaC::exp (const numeric &x)
	Exponential function. More...
const numeric	GiNaC::log (const numeric &x)
	Natural logarithm. More...
const numeric	GiNaC::sin (const numeric &x)
	Numeric sine (trigonometric function). More...
const numeric	GiNaC::cos (const numeric &x)
	Numeric cosine (trigonometric function). More...
const numeric	GiNaC::tan (const numeric &x)
	Numeric tangent (trigonometric function). More...
const numeric	GiNaC::asin (const numeric &x)
	Numeric inverse sine (trigonometric function). More...
const numeric	GiNaC::acos (const numeric &x)
	Numeric inverse cosine (trigonometric function). More...
const numeric	GiNaC::atan (const numeric &x)
	Numeric arcustangent. More...
const numeric	GiNaC::atan (const numeric &y, const numeric &x)
	Numeric arcustangent of two arguments, analytically continued in a suitable way. More...
const numeric	GiNaC::sinh (const numeric &x)
	Numeric hyperbolic sine (trigonometric function). More...
const numeric	GiNaC::cosh (const numeric &x)
	Numeric hyperbolic cosine (trigonometric function). More...
const numeric	GiNaC::tanh (const numeric &x)
	Numeric hyperbolic tangent (trigonometric function). More...
const numeric	GiNaC::asinh (const numeric &x)
	Numeric inverse hyperbolic sine (trigonometric function). More...
const numeric	GiNaC::acosh (const numeric &x)
	Numeric inverse hyperbolic cosine (trigonometric function). More...
const numeric	GiNaC::atanh (const numeric &x)
	Numeric inverse hyperbolic tangent (trigonometric function). More...
const numeric	GiNaC::Li2 (const numeric &x)
const numeric	GiNaC::zeta (const numeric &x)
	Numeric evaluation of Riemann's Zeta function. More...
const numeric	GiNaC::lgamma (const numeric &x)
const numeric	GiNaC::tgamma (const numeric &x)
const numeric	GiNaC::psi (const numeric &x)
	The psi function (aka polygamma function). More...
const numeric	GiNaC::psi (const numeric &n, const numeric &x)
	The psi functions (aka polygamma functions). More...
const numeric	GiNaC::factorial (const numeric &n)
	Factorial combinatorial function. More...
const numeric	GiNaC::doublefactorial (const numeric &n)
	The double factorial combinatorial function. More...
const numeric	GiNaC::binomial (const numeric &n, const numeric &k)
	The Binomial coefficients. More...
const numeric	GiNaC::bernoulli (const numeric &nn)
	Bernoulli number. More...
const numeric	GiNaC::fibonacci (const numeric &n)
	Fibonacci number. More...
const numeric	GiNaC::isqrt (const numeric &x)
	Integer numeric square root. More...
const numeric	GiNaC::sqrt (const numeric &x)
	Numeric square root. More...
const numeric	GiNaC::abs (const numeric &x)
	Absolute value. More...
const numeric	GiNaC::mod (const numeric &a, const numeric &b)
	Modulus (in positive representation). More...
const numeric	GiNaC::smod (const numeric &a_, const numeric &b_)
	Modulus (in symmetric representation). More...
const numeric	GiNaC::irem (const numeric &a, const numeric &b)
	Numeric integer remainder. More...
const numeric	GiNaC::irem (const numeric &a, const numeric &b, numeric &q)
	Numeric integer remainder. More...
const numeric	GiNaC::iquo (const numeric &a, const numeric &b)
	Numeric integer quotient. More...
const numeric	GiNaC::iquo (const numeric &a, const numeric &b, numeric &r)
	Numeric integer quotient. More...
const numeric	GiNaC::gcd (const numeric &a, const numeric &b)
	Greatest Common Divisor. More...
const numeric	GiNaC::lcm (const numeric &a, const numeric &b)
	Least Common Multiple. More...
const numeric	GiNaC::pow (const numeric &x, const numeric &y)
const numeric	GiNaC::inverse (const numeric &x)
numeric	GiNaC::step (const numeric &x)
int	GiNaC::csgn (const numeric &x)
bool	GiNaC::is_zero (const numeric &x)
bool	GiNaC::is_positive (const numeric &x)
bool	GiNaC::is_negative (const numeric &x)
bool	GiNaC::is_integer (const numeric &x)
bool	GiNaC::is_pos_integer (const numeric &x)
bool	GiNaC::is_nonneg_integer (const numeric &x)
bool	GiNaC::is_even (const numeric &x)
bool	GiNaC::is_odd (const numeric &x)
bool	GiNaC::is_prime (const numeric &x)
bool	GiNaC::is_rational (const numeric &x)
bool	GiNaC::is_real (const numeric &x)
bool	GiNaC::is_cinteger (const numeric &x)
bool	GiNaC::is_crational (const numeric &x)
int	GiNaC::to_int (const numeric &x)
long	GiNaC::to_long (const numeric &x)
double	GiNaC::to_double (const numeric &x)
const numeric	GiNaC::real (const numeric &x)
const numeric	GiNaC::imag (const numeric &x)
const numeric	GiNaC::numer (const numeric &x)
const numeric	GiNaC::denom (const numeric &x)
ex	GiNaC::PiEvalf ()
	Floating point evaluation of Archimedes' constant Pi. More...
ex	GiNaC::EulerEvalf ()
	Floating point evaluation of Euler's constant gamma. More...
ex	GiNaC::CatalanEvalf ()
	Floating point evaluation of Catalan's constant. More...

Detailed Description

Makes the interface to the underlying bignum package available.

Definition in file numeric.h.