math Namespace Reference

SIMD-accelerated math utilities for audio DSP. More...

Functions
float	pow2 (float v)
	Computes the square of a value (v²).
float	pow4 (float v)
	Computes the fourth power of a value (v⁴).
float	pow8 (float v)
	Computes the eighth power of a value (v⁸).
float	lerp (float a, float b, float t)
	Linear interpolation between two values.
float	min (float a, float b)
	Returns the minimum of two values.
float	max (float a, float b)
	Returns the maximum of two values.
float	minVal (float a)
	Returns the minimum value (scalar version just returns the input).
float	maxVal (float a)
	Returns the maximum value (scalar version just returns the input).

Detailed Description

SIMD-accelerated math utilities for audio DSP.

The math namespace provides optimized mathematical functions with both scalar (single float) and SIMD (vectorized) implementations. When SIMD is available (GIN_HAS_SIMD), the same function names work with both float and mipp::Reg<float> types, automatically selecting the appropriate implementation.

Available Functions:

• pow2, pow4, pow8: Fast integer power functions
• lerp: Linear interpolation
• min, max: Minimum/maximum of two values
• minVal, maxVal: Extract min/max from SIMD register

All functions are inlined for maximum performance. SIMD versions process 4 floats simultaneously on SSE/AVX systems.

See also

mipp::Reg

Function Documentation

pow2()

float math::pow2

(

float

v

)

Computes the square of a value (v²).

Parameters

v	Input value

Returns

v * v

Referenced by WTOscillator::postProcess().

pow4()

float math::pow4

(

float

v

)

Computes the fourth power of a value (v⁴).

Parameters

v	Input value

Returns

v * v * v * v

Referenced by WTOscillator::postProcess().

pow8()

float math::pow8

(

float

v

)

Computes the eighth power of a value (v⁸).

Parameters

v	Input value

Returns

v⁸

lerp()

float math::lerp	(	float	a,
		float	b,
		float	t
	)

Linear interpolation between two values.

Parameters

a	Start value (when t=0)
b	End value (when t=1)
t	Interpolation factor (typically 0.0 to 1.0)

Returns

Interpolated value: a + t * (b - a)

Referenced by WTOscillator::postProcess().

min()

float math::min	(	float	a,
		float	b
	)

Returns the minimum of two values.

Parameters

a	First value
b	Second value

Returns

The smaller of a and b

Referenced by WTOscillator::postProcess(), WTOscillator::processAddingComplex(), WTOscillator::processAddingCrossfadeComplex(), and WTOscillator::processAddingSimple().

max()

float math::max	(	float	a,
		float	b
	)

Returns the maximum of two values.

Parameters

a	First value
b	Second value

Returns

The larger of a and b

Referenced by WTOscillator::postProcess().

minVal()

float math::minVal

(

float

a

)

Returns the minimum value (scalar version just returns the input).

Parameters

a	Input value

Returns

a

maxVal()

float math::maxVal

(

float

a

)

Returns the maximum value (scalar version just returns the input).

Parameters

a	Input value

Returns

a