This class contains various fast mathematical function approximations. More...

#include <juce_FastMathApproximations.h>

Static Public Member Functions
template<typename FloatType >
static void	cos (FloatType *values, size_t numValues) noexcept
	Provides a fast approximation of the function cos(x) using a Pade approximant continued fraction, calculated on a whole buffer. More...

template<typename FloatType >
static FloatType	cos (FloatType x) noexcept
	Provides a fast approximation of the function cos(x) using a Pade approximant continued fraction, calculated sample by sample. More...

template<typename FloatType >
static void	cosh (FloatType *values, size_t numValues) noexcept
	Provides a fast approximation of the function cosh(x) using a Pade approximant continued fraction, calculated on a whole buffer. More...

template<typename FloatType >
static FloatType	cosh (FloatType x) noexcept
	Provides a fast approximation of the function cosh(x) using a Pade approximant continued fraction, calculated sample by sample. More...

template<typename FloatType >
static void	exp (FloatType *values, size_t numValues) noexcept
	Provides a fast approximation of the function exp(x) using a Pade approximant continued fraction, calculated on a whole buffer. More...

template<typename FloatType >
static FloatType	exp (FloatType x) noexcept
	Provides a fast approximation of the function exp(x) using a Pade approximant continued fraction, calculated sample by sample. More...

template<typename FloatType >
static void	logNPlusOne (FloatType *values, size_t numValues) noexcept
	Provides a fast approximation of the function log(x+1) using a Pade approximant continued fraction, calculated on a whole buffer. More...

template<typename FloatType >
static FloatType	logNPlusOne (FloatType x) noexcept
	Provides a fast approximation of the function log(x+1) using a Pade approximant continued fraction, calculated sample by sample. More...

template<typename FloatType >
static void	sin (FloatType *values, size_t numValues) noexcept
	Provides a fast approximation of the function sin(x) using a Pade approximant continued fraction, calculated on a whole buffer. More...

template<typename FloatType >
static FloatType	sin (FloatType x) noexcept
	Provides a fast approximation of the function sin(x) using a Pade approximant continued fraction, calculated sample by sample. More...

template<typename FloatType >
static void	sinh (FloatType *values, size_t numValues) noexcept
	Provides a fast approximation of the function sinh(x) using a Pade approximant continued fraction, calculated on a whole buffer. More...

template<typename FloatType >
static FloatType	sinh (FloatType x) noexcept
	Provides a fast approximation of the function sinh(x) using a Pade approximant continued fraction, calculated sample by sample. More...

template<typename FloatType >
static void	tan (FloatType *values, size_t numValues) noexcept
	Provides a fast approximation of the function tan(x) using a Pade approximant continued fraction, calculated on a whole buffer. More...

template<typename FloatType >
static FloatType	tan (FloatType x) noexcept
	Provides a fast approximation of the function tan(x) using a Pade approximant continued fraction, calculated sample by sample. More...

template<typename FloatType >
static void	tanh (FloatType *values, size_t numValues) noexcept
	Provides a fast approximation of the function tanh(x) using a Pade approximant continued fraction, calculated on a whole buffer. More...

template<typename FloatType >
static FloatType	tanh (FloatType x) noexcept
	Provides a fast approximation of the function tanh(x) using a Pade approximant continued fraction, calculated sample by sample. More...

Detailed Description

This class contains various fast mathematical function approximations.

@tags{DSP}

Member Function Documentation

◆ cos() [1/2]

template<typename FloatType >

static void juce::dsp::FastMathApproximations::cos	(	FloatType *	values,
		size_t	numValues
	)

inlinestaticnoexcept

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.

References cos(), and juce::UnitTestCategories::values.

◆ cos() [2/2]

template<typename FloatType >

static FloatType juce::dsp::FastMathApproximations::cos ( FloatType x )

inlinestaticnoexcept

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.

References juce::gl::x, and juce::gl::x2.

Referenced by cos().

◆ cosh() [1/2]

template<typename FloatType >

static void juce::dsp::FastMathApproximations::cosh	(	FloatType *	values,
		size_t	numValues
	)

inlinestaticnoexcept

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.

References cosh(), and juce::UnitTestCategories::values.

◆ cosh() [2/2]

template<typename FloatType >

static FloatType juce::dsp::FastMathApproximations::cosh ( FloatType x )

inlinestaticnoexcept

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.

References juce::gl::x, and juce::gl::x2.

Referenced by cosh().

◆ exp() [1/2]

template<typename FloatType >

static void juce::dsp::FastMathApproximations::exp	(	FloatType *	values,
		size_t	numValues
	)

inlinestaticnoexcept

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.

References exp(), and juce::UnitTestCategories::values.

◆ exp() [2/2]

template<typename FloatType >

static FloatType juce::dsp::FastMathApproximations::exp ( FloatType x )

inlinestaticnoexcept

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.

References juce::gl::x.

Referenced by exp().

◆ logNPlusOne() [1/2]

template<typename FloatType >

static void juce::dsp::FastMathApproximations::logNPlusOne	(	FloatType *	values,
		size_t	numValues
	)

inlinestaticnoexcept

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.

References logNPlusOne(), and juce::UnitTestCategories::values.

◆ logNPlusOne() [2/2]

template<typename FloatType >

static FloatType juce::dsp::FastMathApproximations::logNPlusOne ( FloatType x )

inlinestaticnoexcept

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.

References juce::gl::x.

Referenced by logNPlusOne().

◆ sin() [1/2]

template<typename FloatType >

static void juce::dsp::FastMathApproximations::sin	(	FloatType *	values,
		size_t	numValues
	)

inlinestaticnoexcept

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.

References sin(), and juce::UnitTestCategories::values.

◆ sin() [2/2]

template<typename FloatType >

static FloatType juce::dsp::FastMathApproximations::sin ( FloatType x )

inlinestaticnoexcept

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.

References juce::gl::x, and juce::gl::x2.

Referenced by sin().

◆ sinh() [1/2]

template<typename FloatType >

static void juce::dsp::FastMathApproximations::sinh	(	FloatType *	values,
		size_t	numValues
	)

inlinestaticnoexcept

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.

References sinh(), and juce::UnitTestCategories::values.

◆ sinh() [2/2]

template<typename FloatType >

static FloatType juce::dsp::FastMathApproximations::sinh ( FloatType x )

inlinestaticnoexcept

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.

References juce::gl::x, and juce::gl::x2.

Referenced by sinh().

◆ tan() [1/2]

template<typename FloatType >

static void juce::dsp::FastMathApproximations::tan	(	FloatType *	values,
		size_t	numValues
	)

inlinestaticnoexcept

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.

References tan(), and juce::UnitTestCategories::values.

◆ tan() [2/2]

template<typename FloatType >

static FloatType juce::dsp::FastMathApproximations::tan ( FloatType x )

inlinestaticnoexcept

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.

References juce::gl::x, and juce::gl::x2.

Referenced by tan().

◆ tanh() [1/2]

template<typename FloatType >

static void juce::dsp::FastMathApproximations::tanh	(	FloatType *	values,
		size_t	numValues
	)

inlinestaticnoexcept

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.

References tanh(), and juce::UnitTestCategories::values.

◆ tanh() [2/2]

template<typename FloatType >

static FloatType juce::dsp::FastMathApproximations::tanh ( FloatType x )

inlinestaticnoexcept

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.

References juce::gl::x, and juce::gl::x2.

Referenced by tanh().

The documentation for this struct was generated from the following file:

juce_FastMathApproximations.h

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ cos() [1/2]

◆ cos() [2/2]

◆ cosh() [1/2]

◆ cosh() [2/2]

◆ exp() [1/2]

◆ exp() [2/2]

◆ logNPlusOne() [1/2]

◆ logNPlusOne() [2/2]

◆ sin() [1/2]

◆ sin() [2/2]

◆ sinh() [1/2]

◆ sinh() [2/2]

◆ tan() [1/2]

◆ tan() [2/2]

◆ tanh() [1/2]

◆ tanh() [2/2]