68 lines
2.3 KiB
C
68 lines
2.3 KiB
C
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/*
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==============================================================================
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This file is part of the JUCE library.
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Copyright (c) 2020 - Raw Material Software Limited
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JUCE is an open source library subject to commercial or open-source
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licensing.
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By using JUCE, you agree to the terms of both the JUCE 6 End-User License
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Agreement and JUCE Privacy Policy (both effective as of the 16th June 2020).
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End User License Agreement: www.juce.com/juce-6-licence
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Privacy Policy: www.juce.com/juce-privacy-policy
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Or: You may also use this code under the terms of the GPL v3 (see
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www.gnu.org/licenses).
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JUCE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER
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EXPRESSED OR IMPLIED, INCLUDING MERCHANTABILITY AND FITNESS FOR PURPOSE, ARE
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DISCLAIMED.
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==============================================================================
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*/
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namespace juce
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{
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namespace dsp
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{
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/**
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Contains miscellaneous filter design and windowing functions.
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@tags{DSP}
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*/
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struct SpecialFunctions
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{
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/** Computes the modified Bessel function of the first kind I0 for a
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given double value x. Modified Bessel functions are useful to solve
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various mathematical problems involving differential equations.
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*/
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static double besselI0 (double x) noexcept;
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/** Computes the complete elliptic integral of the first kind K for a
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given double value k, and the associated complete elliptic integral
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of the first kind Kp for the complementary modulus of k.
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*/
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static void ellipticIntegralK (double k, double& K, double& Kp) noexcept;
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/** Computes the Jacobian elliptic function cd for the elliptic
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modulus k and the quarter-period units u.
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*/
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static Complex<double> cde (Complex<double> u, double k) noexcept;
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/** Computes the Jacobian elliptic function sn for the elliptic
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modulus k and the quarter-period units u.
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*/
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static Complex<double> sne (Complex<double> u, double k) noexcept;
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/** Computes the inverse of the Jacobian elliptic function sn
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for the elliptic modulus k and the quarter-period units u.
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*/
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static Complex<double> asne (Complex<double> w, double k) noexcept;
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};
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} // namespace dsp
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} // namespace juce
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