dsp::FastMathApproximations Struct Reference

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

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. 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	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	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	tanh (FloatType x) noexcept
	Provides a fast approximation of the function tanh(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	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	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	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	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	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	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	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	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	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	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...

Detailed Description

This class contains various fast mathematical function approximations.

Member Function Documentation

cosh() [1/2]

template<typename FloatType >

static FloatType 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.

cosh() [2/2]

template<typename FloatType >

static void 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.

sinh() [1/2]

template<typename FloatType >

static FloatType 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.

sinh() [2/2]

template<typename FloatType >

static void 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.

tanh() [1/2]

template<typename FloatType >

static FloatType 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.

tanh() [2/2]

template<typename FloatType >

static void 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.

cos() [1/2]

template<typename FloatType >

static FloatType 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.

cos() [2/2]

template<typename FloatType >

static void 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.

sin() [1/2]

template<typename FloatType >

static FloatType 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.

sin() [2/2]

template<typename FloatType >

static void 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.

tan() [1/2]

template<typename FloatType >

static FloatType 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.

tan() [2/2]

template<typename FloatType >

static void 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.

exp() [1/2]

template<typename FloatType >

static FloatType 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.

exp() [2/2]

template<typename FloatType >

static void 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.

logNPlusOne() [1/2]

template<typename FloatType >

static FloatType 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.

logNPlusOne() [2/2]

template<typename FloatType >

static void 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.

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

• juce_FastMathApproximations.h