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

#include "juce_FastMathApproximations.h"

Static Public Member Functions
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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

Detailed Description

This class contains various fast mathematical function approximations.

@tags{DSP}

Definition at line 34 of file juce_FastMathApproximations.h.

Member Function Documentation

◆ cos() [1/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 143 of file juce_FastMathApproximations.h.

◆ cos() [2/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 128 of file juce_FastMathApproximations.h.

◆ cosh() [1/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 58 of file juce_FastMathApproximations.h.

◆ cosh() [2/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 43 of file juce_FastMathApproximations.h.

◆ exp() [1/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 227 of file juce_FastMathApproximations.h.

◆ exp() [2/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 213 of file juce_FastMathApproximations.h.

◆ logNPlusOne() [1/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 254 of file juce_FastMathApproximations.h.

◆ logNPlusOne() [2/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 240 of file juce_FastMathApproximations.h.

◆ sin() [1/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 171 of file juce_FastMathApproximations.h.

◆ sin() [2/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 156 of file juce_FastMathApproximations.h.

◆ sinh() [1/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 86 of file juce_FastMathApproximations.h.

◆ sinh() [2/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 71 of file juce_FastMathApproximations.h.

◆ tan() [1/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 199 of file juce_FastMathApproximations.h.

◆ tan() [2/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 184 of file juce_FastMathApproximations.h.

◆ tanh() [1/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 114 of file juce_FastMathApproximations.h.

◆ tanh() [2/2]

template<typename FloatType >

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

staticnoexcept

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.

Definition at line 99 of file juce_FastMathApproximations.h.

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

juce_dsp/maths/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]