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72 lines
2.8 KiB
C++
72 lines
2.8 KiB
C++
/*
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==============================================================================
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This file is part of the JUCE framework.
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Copyright (c) Raw Material Software Limited
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JUCE is an open source framework subject to commercial or open source
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licensing.
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By downloading, installing, or using the JUCE framework, or combining the
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JUCE framework with any other source code, object code, content or any other
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copyrightable work, you agree to the terms of the JUCE End User Licence
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Agreement, and all incorporated terms including the JUCE Privacy Policy and
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the JUCE Website Terms of Service, as applicable, which will bind you. If you
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do not agree to the terms of these agreements, we will not license the JUCE
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framework to you, and you must discontinue the installation or download
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process and cease use of the JUCE framework.
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JUCE End User Licence Agreement: https://juce.com/legal/juce-8-licence/
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JUCE Privacy Policy: https://juce.com/juce-privacy-policy
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JUCE Website Terms of Service: https://juce.com/juce-website-terms-of-service/
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Or:
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You may also use this code under the terms of the AGPLv3:
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https://www.gnu.org/licenses/agpl-3.0.en.html
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THE JUCE FRAMEWORK IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL
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WARRANTIES, WHETHER EXPRESSED OR IMPLIED, INCLUDING WARRANTY OF
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MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE, ARE DISCLAIMED.
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==============================================================================
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*/
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namespace juce::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 juce::dsp
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