juce::dsp::SpecialFunctions Struct Reference

Detailed Description

Contains miscellaneous filter design and windowing functions.

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.

Member Functions

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.

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.

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.

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.

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.