OpenShot Audio Library | OpenShotAudio: juce_FastMathApproximations.h Source File

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juce_FastMathApproximations.h
1/*
2 ==============================================================================
3
4 This file is part of the JUCE library.
5 Copyright (c) 2022 - Raw Material Software Limited
6
7 JUCE is an open source library subject to commercial or open-source
8 licensing.
9
10 By using JUCE, you agree to the terms of both the JUCE 7 End-User License
11 Agreement and JUCE Privacy Policy.
12
13 End User License Agreement: www.juce.com/juce-7-licence
14 Privacy Policy: www.juce.com/juce-privacy-policy
15
16 Or: You may also use this code under the terms of the GPL v3 (see
17 www.gnu.org/licenses).
18
19 JUCE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER
20 EXPRESSED OR IMPLIED, INCLUDING MERCHANTABILITY AND FITNESS FOR PURPOSE, ARE
21 DISCLAIMED.
22
23 ==============================================================================
24*/
25
26namespace juce::dsp
27{
28
34 struct FastMathApproximations
35{
42 template <typename FloatType>
43 static FloatType cosh (FloatType x) noexcept
44 {
45 auto x2 = x * x;
46 auto numerator = -(39251520 + x2 * (18471600 + x2 * (1075032 + 14615 * x2)));
47 auto denominator = -39251520 + x2 * (1154160 + x2 * (-16632 + 127 * x2));
48 return numerator / denominator;
49 }
50
57 template <typename FloatType>
58 static void cosh (FloatType* values, size_t numValues) noexcept
59 {
60 for (size_t i = 0; i < numValues; ++i)
61 values[i] = FastMathApproximations::cosh (values[i]);
62 }
63
70 template <typename FloatType>
71 static FloatType sinh (FloatType x) noexcept
72 {
73 auto x2 = x * x;
74 auto numerator = -x * (11511339840 + x2 * (1640635920 + x2 * (52785432 + x2 * 479249)));
75 auto denominator = -11511339840 + x2 * (277920720 + x2 * (-3177720 + x2 * 18361));
76 return numerator / denominator;
77 }
78
85 template <typename FloatType>
86 static void sinh (FloatType* values, size_t numValues) noexcept
87 {
88 for (size_t i = 0; i < numValues; ++i)
89 values[i] = FastMathApproximations::sinh (values[i]);
90 }
91
98 template <typename FloatType>
99 static FloatType tanh (FloatType x) noexcept
100 {
101 auto x2 = x * x;
102 auto numerator = x * (135135 + x2 * (17325 + x2 * (378 + x2)));
103 auto denominator = 135135 + x2 * (62370 + x2 * (3150 + 28 * x2));
104 return numerator / denominator;
105 }
106
113 template <typename FloatType>
114 static void tanh (FloatType* values, size_t numValues) noexcept
115 {
116 for (size_t i = 0; i < numValues; ++i)
117 values[i] = FastMathApproximations::tanh (values[i]);
118 }
119
120 //==============================================================================
127 template <typename FloatType>
128 static FloatType cos (FloatType x) noexcept
129 {
130 auto x2 = x * x;
131 auto numerator = -(-39251520 + x2 * (18471600 + x2 * (-1075032 + 14615 * x2)));
132 auto denominator = 39251520 + x2 * (1154160 + x2 * (16632 + x2 * 127));
133 return numerator / denominator;
134 }
135
142 template <typename FloatType>
143 static void cos (FloatType* values, size_t numValues) noexcept
144 {
145 for (size_t i = 0; i < numValues; ++i)
146 values[i] = FastMathApproximations::cos (values[i]);
147 }
148
155 template <typename FloatType>
156 static FloatType sin (FloatType x) noexcept
157 {
158 auto x2 = x * x;
159 auto numerator = -x * (-11511339840 + x2 * (1640635920 + x2 * (-52785432 + x2 * 479249)));
160 auto denominator = 11511339840 + x2 * (277920720 + x2 * (3177720 + x2 * 18361));
161 return numerator / denominator;
162 }
163
170 template <typename FloatType>
171 static void sin (FloatType* values, size_t numValues) noexcept
172 {
173 for (size_t i = 0; i < numValues; ++i)
174 values[i] = FastMathApproximations::sin (values[i]);
175 }
176
183 template <typename FloatType>
184 static FloatType tan (FloatType x) noexcept
185 {
186 auto x2 = x * x;
187 auto numerator = x * (-135135 + x2 * (17325 + x2 * (-378 + x2)));
188 auto denominator = -135135 + x2 * (62370 + x2 * (-3150 + 28 * x2));
189 return numerator / denominator;
190 }
191
198 template <typename FloatType>
199 static void tan (FloatType* values, size_t numValues) noexcept
200 {
201 for (size_t i = 0; i < numValues; ++i)
202 values[i] = FastMathApproximations::tan (values[i]);
203 }
204
205 //==============================================================================
212 template <typename FloatType>
213 static FloatType exp (FloatType x) noexcept
214 {
215 auto numerator = 1680 + x * (840 + x * (180 + x * (20 + x)));
216 auto denominator = 1680 + x *(-840 + x * (180 + x * (-20 + x)));
217 return numerator / denominator;
218 }
219
226 template <typename FloatType>
227 static void exp (FloatType* values, size_t numValues) noexcept
228 {
229 for (size_t i = 0; i < numValues; ++i)
230 values[i] = FastMathApproximations::exp (values[i]);
231 }
232
239 template <typename FloatType>
240 static FloatType logNPlusOne (FloatType x) noexcept
241 {
242 auto numerator = x * (7560 + x * (15120 + x * (9870 + x * (2310 + x * 137))));
243 auto denominator = 7560 + x * (18900 + x * (16800 + x * (6300 + x * (900 + 30 * x))));
244 return numerator / denominator;
245 }
246
253 template <typename FloatType>
254 static void logNPlusOne (FloatType* values, size_t numValues) noexcept
255 {
256 for (size_t i = 0; i < numValues; ++i)
257 values[i] = FastMathApproximations::logNPlusOne (values[i]);
258 }
259};
260
261} // namespace juce::dsp
juce::dsp::FastMathApproximations
Definition juce_FastMathApproximations.h:35
juce::dsp::FastMathApproximations::cos
static void cos(FloatType *values, size_t numValues) noexcept
Definition juce_FastMathApproximations.h:143
juce::dsp::FastMathApproximations::tanh
static FloatType tanh(FloatType x) noexcept
Definition juce_FastMathApproximations.h:99
juce::dsp::FastMathApproximations::tanh
static void tanh(FloatType *values, size_t numValues) noexcept
Definition juce_FastMathApproximations.h:114
juce::dsp::FastMathApproximations::sinh
static FloatType sinh(FloatType x) noexcept
Definition juce_FastMathApproximations.h:71
juce::dsp::FastMathApproximations::sin
static FloatType sin(FloatType x) noexcept
Definition juce_FastMathApproximations.h:156
juce::dsp::FastMathApproximations::logNPlusOne
static FloatType logNPlusOne(FloatType x) noexcept
Definition juce_FastMathApproximations.h:240
juce::dsp::FastMathApproximations::sin
static void sin(FloatType *values, size_t numValues) noexcept
Definition juce_FastMathApproximations.h:171
juce::dsp::FastMathApproximations::exp
static FloatType exp(FloatType x) noexcept
Definition juce_FastMathApproximations.h:213
juce::dsp::FastMathApproximations::logNPlusOne
static void logNPlusOne(FloatType *values, size_t numValues) noexcept
Definition juce_FastMathApproximations.h:254
juce::dsp::FastMathApproximations::cos
static FloatType cos(FloatType x) noexcept
Definition juce_FastMathApproximations.h:128
juce::dsp::FastMathApproximations::tan
static FloatType tan(FloatType x) noexcept
Definition juce_FastMathApproximations.h:184
juce::dsp::FastMathApproximations::cosh
static void cosh(FloatType *values, size_t numValues) noexcept
Definition juce_FastMathApproximations.h:58
juce::dsp::FastMathApproximations::sinh
static void sinh(FloatType *values, size_t numValues) noexcept
Definition juce_FastMathApproximations.h:86
juce::dsp::FastMathApproximations::exp
static void exp(FloatType *values, size_t numValues) noexcept
Definition juce_FastMathApproximations.h:227
juce::dsp::FastMathApproximations::cosh
static FloatType cosh(FloatType x) noexcept
Definition juce_FastMathApproximations.h:43
juce::dsp::FastMathApproximations::tan
static void tan(FloatType *values, size_t numValues) noexcept
Definition juce_FastMathApproximations.h:199