mirror of
https://github.com/juce-framework/JUCE.git
synced 2026-01-10 23:44:24 +00:00
60 lines
2 KiB
C++
60 lines
2 KiB
C++
/*
|
|
==============================================================================
|
|
|
|
This file is part of the JUCE 6 technical preview.
|
|
Copyright (c) 2017 - ROLI Ltd.
|
|
|
|
You may use this code under the terms of the GPL v3
|
|
(see www.gnu.org/licenses).
|
|
|
|
For this technical preview, this file is not subject to commercial licensing.
|
|
|
|
JUCE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER
|
|
EXPRESSED OR IMPLIED, INCLUDING MERCHANTABILITY AND FITNESS FOR PURPOSE, ARE
|
|
DISCLAIMED.
|
|
|
|
==============================================================================
|
|
*/
|
|
|
|
namespace juce
|
|
{
|
|
namespace dsp
|
|
{
|
|
|
|
/**
|
|
Contains miscellaneous filter design and windowing functions.
|
|
|
|
@tags{DSP}
|
|
*/
|
|
struct SpecialFunctions
|
|
{
|
|
/** 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.
|
|
*/
|
|
static double besselI0 (double x) 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 void ellipticIntegralK (double k, double& K, double& Kp) noexcept;
|
|
|
|
/** Computes the Jacobian elliptic function cd for the elliptic
|
|
modulus k and the quarter-period units u.
|
|
*/
|
|
static Complex<double> cde (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> sne (Complex<double> u, double k) noexcept;
|
|
|
|
/** Computes the inverse of 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;
|
|
};
|
|
|
|
} // namespace dsp
|
|
} // namespace juce
|