blumia/juicysfplugin
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

fix macOS build (following Projucer changes made in Windows, which removed /Applications/JUCE/modules from its headers). move JUCE headers under source control, so that Windows and macOS can both build against same version of JUCE. remove AUv3 target (I think it's an iOS thing, so it will never work with this macOS fluidsynth dylib).

Browse Source
This commit is contained in:
Alex Birch
2018-06-17 13:34:53 +01:00
parent a2be47c887
commit dff4d13a1d
1563 changed files with 601601 additions and 3466 deletions
Download Patch File Download Diff File Expand all files Collapse all files

265
modules/juce_dsp/maths/juce_FastMathApproximations.h Normal file
View File

@ -0,0 +1,265 @@
/*
==============================================================================
This file is part of the JUCE library.
Copyright (c) 2017 - ROLI Ltd.
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 5 End-User License
Agreement and JUCE 5 Privacy Policy (both updated and effective as of the
27th April 2017).
End User License Agreement: www.juce.com/juce-5-licence
Privacy Policy: www.juce.com/juce-5-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
{
/**
This class contains various fast mathematical function approximations.
@tags{DSP}
*/
struct FastMathApproximations
{
/** Provides a fast approximation of the function cosh(x) using a Pade approximant
continued fraction, calculated sample by sample.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -5 and +5 for limiting the error.
*/
template <typename FloatType>
static FloatType cosh (FloatType x) noexcept
{
auto x2 = x * x;
auto numerator = -(39251520 + x2 * (18471600 + x2 * (1075032 + 14615 * x2)));
auto denominator = -39251520 + x2 * (1154160 + x2 * (-16632 + 127 * x2));
return numerator / denominator;
}
/** Provides a fast approximation of the function cosh(x) using a Pade approximant
continued fraction, calculated on a whole buffer.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -5 and +5 for limiting the error.
*/
template <typename FloatType>
static void cosh (FloatType* values, size_t numValues) noexcept
{
for (size_t i = 0; i < numValues; ++i)
values[i] = FastMathApproximations::cosh (values[i]);
}
/** Provides a fast approximation of the function sinh(x) using a Pade approximant
continued fraction, calculated sample by sample.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -5 and +5 for limiting the error.
*/
template <typename FloatType>
static FloatType sinh (FloatType x) noexcept
{
auto x2 = x * x;
auto numerator = -x * (11511339840 + x2 * (1640635920 + x2 * (52785432 + x2 * 479249)));
auto denominator = -11511339840 + x2 * (277920720 + x2 * (-3177720 + x2 * 18361));
return numerator / denominator;
}
/** Provides a fast approximation of the function sinh(x) using a Pade approximant
continued fraction, calculated on a whole buffer.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -5 and +5 for limiting the error.
*/
template <typename FloatType>
static void sinh (FloatType* values, size_t numValues) noexcept
{
for (size_t i = 0; i < numValues; ++i)
values[i] = FastMathApproximations::sinh (values[i]);
}
/** Provides a fast approximation of the function tanh(x) using a Pade approximant
continued fraction, calculated sample by sample.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -5 and +5 for limiting the error.
*/
template <typename FloatType>
static FloatType tanh (FloatType x) noexcept
{
auto x2 = x * x;
auto numerator = x * (135135 + x2 * (17325 + x2 * (378 + x2)));
auto denominator = 135135 + x2 * (62370 + x2 * (3150 + 28 * x2));
return numerator / denominator;
}
/** Provides a fast approximation of the function tanh(x) using a Pade approximant
continued fraction, calculated on a whole buffer.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -5 and +5 for limiting the error.
*/
template <typename FloatType>
static void tanh (FloatType* values, size_t numValues) noexcept
{
for (size_t i = 0; i < numValues; ++i)
values[i] = FastMathApproximations::tanh (values[i]);
}
//==============================================================================
/** Provides a fast approximation of the function cos(x) using a Pade approximant
continued fraction, calculated sample by sample.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -pi and +pi for limiting the error.
*/
template <typename FloatType>
static FloatType cos (FloatType x) noexcept
{
auto x2 = x * x;
auto numerator = -(-39251520 + x2 * (18471600 + x2 * (-1075032 + 14615 * x2)));
auto denominator = 39251520 + x2 * (1154160 + x2 * (16632 + x2 * 127));
return numerator / denominator;
}
/** Provides a fast approximation of the function cos(x) using a Pade approximant
continued fraction, calculated on a whole buffer.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -pi and +pi for limiting the error.
*/
template <typename FloatType>
static void cos (FloatType* values, size_t numValues) noexcept
{
for (size_t i = 0; i < numValues; ++i)
values[i] = FastMathApproximations::cos (values[i]);
}
/** Provides a fast approximation of the function sin(x) using a Pade approximant
continued fraction, calculated sample by sample.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -pi and +pi for limiting the error.
*/
template <typename FloatType>
static FloatType sin (FloatType x) noexcept
{
auto x2 = x * x;
auto numerator = -x * (-11511339840 + x2 * (1640635920 + x2 * (-52785432 + x2 * 479249)));
auto denominator = 11511339840 + x2 * (277920720 + x2 * (3177720 + x2 * 18361));
return numerator / denominator;
}
/** Provides a fast approximation of the function sin(x) using a Pade approximant
continued fraction, calculated on a whole buffer.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -pi and +pi for limiting the error.
*/
template <typename FloatType>
static void sin (FloatType* values, size_t numValues) noexcept
{
for (size_t i = 0; i < numValues; ++i)
values[i] = FastMathApproximations::sin (values[i]);
}
/** Provides a fast approximation of the function tan(x) using a Pade approximant
continued fraction, calculated sample by sample.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -pi/2 and +pi/2 for limiting the error.
*/
template <typename FloatType>
static FloatType tan (FloatType x) noexcept
{
auto x2 = x * x;
auto numerator = x * (-135135 + x2 * (17325 + x2 * (-378 + x2)));
auto denominator = -135135 + x2 * (62370 + x2 * (-3150 + 28 * x2));
return numerator / denominator;
}
/** Provides a fast approximation of the function tan(x) using a Pade approximant
continued fraction, calculated on a whole buffer.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -pi/2 and +pi/2 for limiting the error.
*/
template <typename FloatType>
static void tan (FloatType* values, size_t numValues) noexcept
{
for (size_t i = 0; i < numValues; ++i)
values[i] = FastMathApproximations::tan (values[i]);
}
//==============================================================================
/** Provides a fast approximation of the function exp(x) using a Pade approximant
continued fraction, calculated sample by sample.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -6 and +4 for limiting the error.
*/
template <typename FloatType>
static FloatType exp (FloatType x) noexcept
{
auto numerator = 1680 + x * (840 + x * (180 + x * (20 + x)));
auto denominator = 1680 + x *(-840 + x * (180 + x * (-20 + x)));
return numerator / denominator;
}
/** Provides a fast approximation of the function exp(x) using a Pade approximant
continued fraction, calculated on a whole buffer.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -6 and +4 for limiting the error.
*/
template <typename FloatType>
static void exp (FloatType* values, size_t numValues) noexcept
{
for (size_t i = 0; i < numValues; ++i)
values[i] = FastMathApproximations::exp (values[i]);
}
/** Provides a fast approximation of the function log(x+1) using a Pade approximant
continued fraction, calculated sample by sample.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -0.8 and +5 for limiting the error.
*/
template <typename FloatType>
static FloatType logNPlusOne (FloatType x) noexcept
{
auto numerator = x * (7560 + x * (15120 + x * (9870 + x * (2310 + x * 137))));
auto denominator = 7560 + x * (18900 + x * (16800 + x * (6300 + x * (900 + 30 * x))));
return numerator / denominator;
}
/** Provides a fast approximation of the function log(x+1) using a Pade approximant
continued fraction, calculated on a whole buffer.
Note : this is an approximation which works on a limited range. You are
advised to use input values only between -0.8 and +5 for limiting the error.
*/
template <typename FloatType>
static void logNPlusOne (FloatType* values, size_t numValues) noexcept
{
for (size_t i = 0; i < numValues; ++i)
values[i] = FastMathApproximations::logNPlusOne (values[i]);
}
};
} // namespace dsp
} // namespace juce