complex.cpp File Reference

#include <cmath>
#include <assert.h>
#include <errno.h>
#include <stdio.h>
#include <stdlib.h>
#include "constants.h"
#include "precision.h"
#include "complex.h"
#include "consts.h"
#include "fspecial.h"
#include "cbesselj.cpp"

Include dependency graph for complex.cpp:

Go to the source code of this file.

Namespaces
namespace	qucs
Functions
nr_complex_t	qucs::cos (const nr_complex_t z)
	Compute complex cosine.
nr_complex_t	qucs::sin (const nr_complex_t z)
	Compute complex sine.
nr_complex_t	qucs::tan (const nr_complex_t z)
	Compute complex tangent.
nr_complex_t	qucs::acos (const nr_complex_t z)
	Compute complex arc cosine.
nr_complex_t	qucs::asin (const nr_complex_t z)
	Compute complex arc sine.
nr_complex_t	qucs::atan (const nr_complex_t z)
	Compute complex arc tangent.
nr_complex_t	qucs::cosh (const nr_complex_t z)
	Compute complex hyperbolic cosine.
nr_complex_t	qucs::sinh (const nr_complex_t z)
	Compute complex hyperbolic sine.
nr_complex_t	qucs::tanh (const nr_complex_t z)
	Compute complex hyperbolic tangent.
nr_complex_t	qucs::acosh (const nr_complex_t z)
	Compute complex arc hyperbolic cosine.
nr_complex_t	qucs::asinh (const nr_complex_t z)
	Compute complex arc hyperbolic sine.
nr_complex_t	qucs::atanh (const nr_complex_t z)
	Compute complex arc hyperbolic tangent.
nr_complex_t	qucs::exp (const nr_complex_t z)
	Compute complex exponential.
nr_complex_t	qucs::log (const nr_complex_t z)
	Compute principal value of natural logarithm of z.
nr_complex_t	qucs::log10 (const nr_complex_t z)
	Compute principal value of decimal logarithm of z.
nr_complex_t	qucs::pow (const nr_complex_t z, const nr_double_t d)
	Compute power function with real exponent.
nr_complex_t	qucs::pow (const nr_double_t d, const nr_complex_t z)
	Compute power function with complex exponent but real mantisse.
nr_complex_t	qucs::pow (const nr_complex_t z1, const nr_complex_t z2)
	Compute complex power function.
nr_complex_t	qucs::sqrt (const nr_complex_t z)
	Compute principal value of square root.
nr_double_t	qucs::norm (const nr_complex_t z)
	Compute euclidian norm of complex number.
nr_complex_t	qucs::cot (const nr_complex_t z)
	Compute complex cotangent.
nr_complex_t	qucs::acot (const nr_complex_t z)
	Compute complex arc cotangent.
nr_complex_t	qucs::coth (const nr_complex_t z)
	Compute complex hyperbolic cotangent.
nr_complex_t	qucs::acoth (const nr_complex_t z)
	Compute complex argument hyperbolic cotangent.
nr_complex_t	qucs::sech (const nr_complex_t z)
	Compute complex hyperbolic secant.
nr_complex_t	qucs::asech (const nr_complex_t z)
	Compute complex argument hyperbolic secant.
nr_complex_t	qucs::cosech (const nr_complex_t z)
	Compute complex argument hyperbolic cosec.
nr_complex_t	qucs::atan2 (const nr_complex_t y, const nr_complex_t x)
	Compute complex arc tangent fortran like function.
nr_complex_t	qucs::log2 (const nr_complex_t z)
	Compute principal value of binary logarithm of z.
nr_complex_t	qucs::signum (const nr_complex_t z)
	complex signum function
nr_complex_t	qucs::sign (const nr_complex_t z)
	complex sign function
nr_complex_t	qucs::sinc (const nr_complex_t z)
	Cardinal sine.
nr_double_t	qucs::xhypot (const nr_complex_t a, const nr_complex_t b)
	Euclidean distance function for complex argument.
nr_double_t	qucs::xhypot (nr_double_t a, nr_complex_t b)
	Euclidean distance function for a double b complex.
nr_double_t	qucs::xhypot (nr_complex_t a, nr_double_t b)
	Euclidean distance function for b double a complex.
nr_complex_t	qucs::round (const nr_complex_t z)
	Complex round Round is the nearest integral value Apply round to real and imaginary part.
nr_complex_t	qucs::trunc (const nr_complex_t z)
	Complex trunc Apply round to integer, towards zero to real and imaginary part.
nr_double_t	qucs::dB (const nr_complex_t z)
	Magnitude in dB Compute .
nr_complex_t	qucs::limexp (const nr_complex_t z)
	Compute limited complex exponential.
nr_complex_t	qucs::polar (const nr_double_t mag, const nr_double_t ang)
	Construct a complex number using polar notation.
nr_complex_t	qucs::polar (const nr_complex_t a, const nr_complex_t p)
	Extension of polar construction to complex.
nr_complex_t	qucs::ztor (const nr_complex_t z, nr_complex_t zref)
	Converts impedance to reflexion coefficient.
nr_complex_t	qucs::rtoz (const nr_complex_t r, nr_complex_t zref)
	Converts reflexion coefficient to impedance.
nr_complex_t	qucs::ytor (const nr_complex_t y, nr_complex_t zref)
	Converts admittance to reflexion coefficient.
nr_complex_t	qucs::rtoy (const nr_complex_t r, nr_complex_t zref)
	Converts reflexion coefficient to admittance.
nr_complex_t	qucs::floor (const nr_complex_t z)
	Complex floor.
nr_complex_t	qucs::ceil (const nr_complex_t z)
	Complex ceil Ceil is the smallest integral value not less than argument Apply ceil to real and imaginary part.
nr_complex_t	qucs::fix (const nr_complex_t z)
	Complex fix.
nr_complex_t	qucs::fmod (const nr_complex_t x, const nr_complex_t y)
	Complex fmod Apply fmod to the complex z.
nr_complex_t	qucs::sqr (const nr_complex_t z)
	Square of complex number.
nr_complex_t	qucs::step (const nr_complex_t z)
	Heaviside step function for complex number.
nr_complex_t	qucs::cbesselj (unsigned int n, nr_complex_t z)
	Main entry point for besselj function.
static nr_complex_t	qucs::cbesselj_smallarg (unsigned int n, nr_complex_t z)
static nr_complex_t	qucs::cbesselj_mediumarg_odd (unsigned int n, nr_complex_t z)
static nr_complex_t	qucs::cbesselj_mediumarg_even (unsigned int n, nr_complex_t z)
static nr_complex_t	qucs::cbesselj_mediumarg (unsigned int n, nr_complex_t z)
static nr_complex_t	qucs::cbesselj_largearg (unsigned int n, nr_complex_t z)
	besselj for large argument
nr_complex_t	qucs::jn (const int n, const nr_complex_t z)
	Bessel function of first kind.
nr_complex_t	qucs::yn (const int n, const nr_complex_t z)
	Bessel function of second kind.
nr_complex_t	qucs::i0 (const nr_complex_t z)
	Modified Bessel function of first kind.
nr_complex_t	qucs::erf (const nr_complex_t z)
	Error function.
nr_complex_t	qucs::erfc (const nr_complex_t z)
	Complementart error function.
nr_complex_t	qucs::erfinv (const nr_complex_t z)
	Inverse of error function.
nr_complex_t	qucs::erfcinv (const nr_complex_t z)
	Inverse of complementart error function.
nr_complex_t	qucs::operator% (const nr_complex_t z1, const nr_complex_t z2)
	Modulo.
nr_complex_t	qucs::operator% (const nr_complex_t z1, const nr_double_t r2)
	Modulo.
nr_complex_t	qucs::operator% (const nr_double_t r1, const nr_complex_t z2)
	Modulo.
bool	qucs::operator== (const nr_complex_t z1, const nr_complex_t z2)
	Equality of two complex.
bool	qucs::operator!= (const nr_complex_t z1, const nr_complex_t z2)
	Inequality of two complex.
bool	qucs::operator>= (const nr_complex_t z1, const nr_complex_t z2)
	Superior of equal.
bool	qucs::operator<= (const nr_complex_t z1, const nr_complex_t z2)
	Inferior of equal.
bool	qucs::operator> (const nr_complex_t z1, const nr_complex_t z2)
	Superior.
bool	qucs::operator< (const nr_complex_t z1, const nr_complex_t z2)
	Inferior.
nr_double_t	qucs::rad2deg (const nr_complex_t x)
	rad2deg Convert radian to degree
nr_double_t	qucs::deg2rad (const nr_complex_t x)
	rad2deg Convert radian to degree

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Detailed Description

Implements complex number class and functions

Definition in file complex.cpp.