OpenShot Library | OpenShotAudio  0.2.2
juce_SpecialFunctions.h
1 
2 /** @weakgroup juce_dsp-maths
3  * @{
4  */
5 /*
6  ==============================================================================
7 
8  This file is part of the JUCE library.
9  Copyright (c) 2017 - ROLI Ltd.
10 
11  JUCE is an open source library subject to commercial or open-source
12  licensing.
13 
14  By using JUCE, you agree to the terms of both the JUCE 5 End-User License
15  Agreement and JUCE 5 Privacy Policy (both updated and effective as of the
16  27th April 2017).
17 
18  End User License Agreement: www.juce.com/juce-5-licence
19  Privacy Policy: www.juce.com/juce-5-privacy-policy
20 
21  Or: You may also use this code under the terms of the GPL v3 (see
22  www.gnu.org/licenses).
23 
24  JUCE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER
25  EXPRESSED OR IMPLIED, INCLUDING MERCHANTABILITY AND FITNESS FOR PURPOSE, ARE
26  DISCLAIMED.
27 
28  ==============================================================================
29 */
30 
31 namespace juce
32 {
33 namespace dsp
34 {
35 
36 /**
37  Contains miscellaneous filter design and windowing functions.
38 
39  @tags{DSP}
40 */
42 {
43  /** Computes the modified Bessel function of the first kind I0 for a
44  given double value x. Modified Bessel functions are useful to solve
45  various mathematical problems involving differential equations.
46  */
47  static double besselI0 (double x) noexcept;
48 
49  /** Computes the complete elliptic integral of the first kind K for a
50  given double value k, and the associated complete elliptic integral
51  of the first kind Kp for the complementary modulus of k.
52  */
53  static void ellipticIntegralK (double k, double& K, double& Kp) noexcept;
54 
55  /** Computes the Jacobian elliptic function cd for the elliptic
56  modulus k and the quarter-period units u.
57  */
58  static Complex<double> cde (Complex<double> u, double k) noexcept;
59 
60  /** Computes the Jacobian elliptic function sn for the elliptic
61  modulus k and the quarter-period units u.
62  */
63  static Complex<double> sne (Complex<double> u, double k) noexcept;
64 
65  /** Computes the inverse of the Jacobian elliptic function sn
66  for the elliptic modulus k and the quarter-period units u.
67  */
68  static Complex<double> asne (Complex<double> w, double k) noexcept;
69 };
70 
71 } // namespace dsp
72 } // namespace juce
73 
74 /** @}*/
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...
Contains miscellaneous filter design and windowing functions.
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-...
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 > cde(Complex< double > u, double k) noexcept
Computes the Jacobian elliptic function cd for the elliptic modulus k and the quarter-period units u...