mpcomplex.hpp File Reference

#include "mpreal.hpp"
#include <mpc.h>

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Classes
class	uni20::mpcomplex
	Exact rational complex value or owning finite-precision MPC approximation. More...

Namespaces
namespace	uni20

Functions
mpreal	uni20::abs (mpcomplex const &z)
mpreal	uni20::abs (mpcomplex const &z, Precision p)
	Evaluate abs(z.at(p)), returning an approximation at finite precision p.
mpcomplex	uni20::acosh (mpcomplex const &z)
	Principal inverse hyperbolic cosine, with imaginary signed zero selecting the cut side.
mpcomplex	uni20::acosh (mpcomplex const &z, Precision p)
	Evaluate acosh(z.at(p)), returning an approximation at finite precision p.
mpreal	uni20::arg (mpcomplex const &z)
mpreal	uni20::arg (mpcomplex const &z, Precision p)
	Evaluate arg(z.at(p)), returning an approximation at finite precision p.
mpcomplex	uni20::conj (mpcomplex const &z)
mpcomplex	uni20::cos (mpcomplex const &z)
mpcomplex	uni20::cos (mpcomplex const &z, Precision p)
	Evaluate cos(z.at(p)), returning an approximation at finite precision p.
mpcomplex	uni20::cosh (mpcomplex const &z)
	Hyperbolic cosine at the input precision; exact zero returns exact one.
mpcomplex	uni20::cosh (mpcomplex const &z, Precision p)
	Evaluate cosh(z.at(p)), returning an approximation at finite precision p.
mpcomplex	uni20::exp (mpcomplex const &z)
mpcomplex	uni20::exp (mpcomplex const &z, Precision p)
	Evaluate exp(z.at(p)), returning an approximation at finite precision p.
mpreal	uni20::imag (mpcomplex const &z)
bool	uni20::isfinite (mpcomplex const &z)
bool	uni20::isinf (mpcomplex const &z)
bool	uni20::isnan (mpcomplex const &z)
mpcomplex	uni20::log (mpcomplex const &z)
	Principal logarithm, with the sign of imaginary zero selecting the cut side.
mpcomplex	uni20::log (mpcomplex const &z, Precision p)
	Evaluate log(z.at(p)), returning an approximation at finite precision p.
mpreal	uni20::norm (mpcomplex const &z)
mpreal	uni20::norm (mpcomplex const &z, Precision p)
	Evaluate norm(z.at(p)), returning an approximation at finite precision p.
mpcomplex	uni20::operator* (exact_rational const &a, mpcomplex const &b)
mpcomplex	uni20::operator* (mpcomplex const &a, exact_rational const &b)
mpcomplex	uni20::operator* (mpcomplex const &a, mpcomplex const &b)
mpcomplex	uni20::operator+ (exact_rational const &a, mpcomplex const &b)
mpcomplex	uni20::operator+ (mpcomplex const &a, exact_rational const &b)
mpcomplex	uni20::operator+ (mpcomplex const &a, mpcomplex const &b)
mpcomplex	uni20::operator+ (mpcomplex const &x)
mpcomplex	uni20::operator- (exact_rational const &a, mpcomplex const &b)
mpcomplex	uni20::operator- (mpcomplex const &a, exact_rational const &b)
mpcomplex	uni20::operator- (mpcomplex const &a, mpcomplex const &b)
mpcomplex	uni20::operator- (mpcomplex const &x)
mpcomplex	uni20::operator/ (exact_rational const &a, mpcomplex const &b)
mpcomplex	uni20::operator/ (mpcomplex const &a, exact_rational const &b)
mpcomplex	uni20::operator/ (mpcomplex const &a, mpcomplex const &b)
std::ostream &	uni20::operator<< (std::ostream &out, mpcomplex const &z)
bool	uni20::operator== (mpcomplex const &a, exact_rational const &b)
bool	uni20::operator== (mpcomplex const &a, mpcomplex const &b)
mpcomplex	uni20::pow (mpcomplex const &a, mpcomplex const &b)
mpcomplex	uni20::pow (mpcomplex const &a, mpcomplex const &b, Precision p)
	Evaluate the principal power pow(a.at(p), b.at(p)) at finite precision p.
mpreal	uni20::real (mpcomplex const &z)
mpcomplex	uni20::sin (mpcomplex const &z)
mpcomplex	uni20::sin (mpcomplex const &z, Precision p)
	Evaluate sin(z.at(p)), returning an approximation at finite precision p.
mpcomplex	uni20::sinh (mpcomplex const &z)
	Hyperbolic sine at the input precision; exact zero remains exact.
mpcomplex	uni20::sinh (mpcomplex const &z, Precision p)
	Evaluate sinh(z.at(p)), returning an approximation at finite precision p.
mpcomplex	uni20::sqrt (mpcomplex const &z)
	Principal square root, with the sign of imaginary zero selecting the cut side.
mpcomplex	uni20::sqrt (mpcomplex const &z, Precision p)
	Evaluate sqrt(z.at(p)), returning an approximation at finite precision p.