juce::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.

@tags{DSP}

Definition at line 33 of file juce_SpecialFunctions.h.

Member Function Documentation

asne()

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.

Definition at line 118 of file juce_SpecialFunctions.cpp.

besselI0()

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.

Definition at line 29 of file juce_SpecialFunctions.cpp.

cde()

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.

Definition at line 72 of file juce_SpecialFunctions.cpp.

ellipticIntegralK()

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.

Definition at line 49 of file juce_SpecialFunctions.cpp.

sne()

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.

Definition at line 95 of file juce_SpecialFunctions.cpp.

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

• juce_dsp/maths/juce_SpecialFunctions.h
• juce_dsp/maths/juce_SpecialFunctions.cpp