dsp::SpecialFunctions Struct Reference

Contains miscellaneous filter design and windowing functions. More...

#include <juce_SpecialFunctions.h>

Static Public Member Functions
static double	besselI0 (double x) noexcept
	Computes the modified Bessel function of the first kind I0 for a given double value x.
static void	ellipticIntegralK (double k, double &K, double &Kp) noexcept
	Computes the complete elliptic integral of the first kind K for a given double value k, and the associated complete elliptic integral of the first kind Kp for the complementary modulus of k.
static Complex< double >	cde (Complex< double > u, double k) noexcept
	Computes the Jacobian elliptic function cd for the elliptic modulus k and the quarter-period units u.
static Complex< double >	sne (Complex< double > u, double k) noexcept
	Computes the Jacobian elliptic function sn for the elliptic modulus k and the quarter-period units u.
static Complex< double >	asne (Complex< double > w, double k) noexcept
	Computes the inverse of the Jacobian elliptic function sn for the elliptic modulus k and the quarter-period units u.

Detailed Description

Contains miscellaneous filter design and windowing functions.

Member Function Documentation

besselI0()

static double dsp::SpecialFunctions::besselI0 ( double x )

staticnoexcept

Computes the modified Bessel function of the first kind I0 for a given double value x.

Modified Bessel functions are useful to solve various mathematical problems involving differential equations.

ellipticIntegralK()

static void dsp::SpecialFunctions::ellipticIntegralK ( double k, double & K, double & Kp )

staticnoexcept

Computes the complete elliptic integral of the first kind K for a given double value k, and the associated complete elliptic integral of the first kind Kp for the complementary modulus of k.

cde()

static Complex< double > dsp::SpecialFunctions::cde ( Complex< double > u, double k )

staticnoexcept

Computes the Jacobian elliptic function cd for the elliptic modulus k and the quarter-period units u.

sne()

static Complex< double > dsp::SpecialFunctions::sne ( Complex< double > u, double k )

staticnoexcept

Computes the Jacobian elliptic function sn for the elliptic modulus k and the quarter-period units u.

asne()

static Complex< double > dsp::SpecialFunctions::asne ( Complex< double > w, double k )

staticnoexcept

Computes the inverse of the Jacobian elliptic function sn for the elliptic modulus k and the quarter-period units u.

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The documentation for this struct was generated from the following file:

• juce_SpecialFunctions.h