juce::dsp::SpecialFunctions Struct Reference

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

#include <juce_SpecialFunctions.h>

Static Public Member Functions
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. More...
static double	besselI0 (double x) noexcept
	Computes the modified Bessel function of the first kind I0 for a given double value x. More...
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. More...
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. More...
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. More...

Detailed Description

Contains miscellaneous filter design and windowing functions.

{DSP}

Member Function Documentation

asne()

static Complex<double> juce::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.

besselI0()

static double juce::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.

cde()

static Complex<double> juce::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.

ellipticIntegralK()

static void juce::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.

sne()

static Complex<double> juce::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.

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

• juce_SpecialFunctions.h