dsp::FastMathApproximations Struct Reference
juce_dsp » maths

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 | ) |

static noexcept

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
| ) |  |

static noexcept

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 | ) |

static noexcept

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
| ) |  |

static noexcept

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 | ) |

static noexcept

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
| ) |  |

static noexcept

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 | ) |

static noexcept

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
| ) |  |

static noexcept

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 | ) |

static noexcept

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
| ) |  |

static noexcept

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 | ) |

static noexcept

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
| ) |  |

static noexcept

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 | ) |

static noexcept

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
| ) |  |

static noexcept

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 | ) |

static noexcept

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
| ) |  |

static noexcept

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.

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

- juce_FastMathApproximations.h