paulxstretch/deps/juce/modules/juce_dsp/maths/juce_SpecialFunctions.h
essej 25bd5d8adb git subrepo clone --branch=sono6good https://github.com/essej/JUCE.git deps/juce
subrepo:
  subdir:   "deps/juce"
  merged:   "b13f9084e"
upstream:
  origin:   "https://github.com/essej/JUCE.git"
  branch:   "sono6good"
  commit:   "b13f9084e"
git-subrepo:
  version:  "0.4.3"
  origin:   "https://github.com/ingydotnet/git-subrepo.git"
  commit:   "2f68596"
2022-04-18 17:51:22 -04:00

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/*
==============================================================================
This file is part of the JUCE library.
Copyright (c) 2020 - Raw Material Software Limited
JUCE is an open source library subject to commercial or open-source
licensing.
By using JUCE, you agree to the terms of both the JUCE 6 End-User License
Agreement and JUCE Privacy Policy (both effective as of the 16th June 2020).
End User License Agreement: www.juce.com/juce-6-licence
Privacy Policy: www.juce.com/juce-privacy-policy
Or: You may also use this code under the terms of the GPL v3 (see
www.gnu.org/licenses).
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