math::noise Namespace Reference

Noise functions. More...

Namespaces
	voronoi
	Voronoi functions.

Functions
template<class T , std::size_t N>
T	fbm (vector< T, N > position, std::size_t octaves, T lacunarity, T gain, T(*noise)(const vector< T, N > &, vector< hash::make_uint_t< T >, N >(*)(const vector< T, N > &))=&simplex< T, N >, vector< hash::make_uint_t< T >, N >(*hash)(const vector< T, N > &)=&hash::pcg< T, N >)
	Fractional Brownian motion (fBm). More...
template<class T , std::size_t N>
T	simplex (const vector< T, N > &position, vector< hash::make_uint_t< T >, N >(*hash)(const vector< T, N > &)=&hash::pcg< T, N >)
	n-dimensional simplex noise. More...

Detailed Description

Noise functions.

Function Documentation

fbm()

template<class T , std::size_t N>

T math::noise::fbm	(	vector< T, N >	position,
		std::size_t	octaves,
		T	lacunarity,
		T	gain,
		T(*)(const vector< T, N > &, vector< hash::make_uint_t< T >, N >(*)(const vector< T, N > &))	noise = &simplex<T, N>,
		vector< hash::make_uint_t< T >, N >(*)(const vector< T, N > &)	hash = &hash::pcg<T, N>
	)

Fractional Brownian motion (fBm).

Template Parameters

T	Real type.
N	Number of dimensions.

Parameters

position	Input position.
octaves	Number of octaves.
lacunarity	Frequency multiplier.
gain	Amplitude multiplier.
noise	Noise function.
hash	Hash function.

Definition at line 47 of file fbm.hpp.

simplex()

template<class T , std::size_t N>

T math::noise::simplex	(	const vector< T, N > &	position,
		vector< hash::make_uint_t< T >, N >(*)(const vector< T, N > &)	hash = &hash::pcg<T, N>
	)

n-dimensional simplex noise.

Template Parameters

T	Real type.
N	Number of dimensions.

Parameters

position	Input position.
hash	Hash function.

Returns

Noise value, on [-1, 1].

See also

https://en.wikipedia.org/wiki/Simplex_noise

https://catlikecoding.com/unity/tutorials/pseudorandom-noise/simplex-noise/

https://briansharpe.wordpress.com/2012/01/13/simplex-noise/

https://briansharpe.wordpress.com/2011/11/14/two-useful-interpolation-functions-for-noise-development/

https://math.stackexchange.com/questions/474638/radius-and-amplitude-of-kernel-for-simplex-noise/1901116

C2-continuous kernel falloff function.

Parameters

sqr_distance

Squared distance from the kernel center.

Returns

Kernel strength at the given distance.

Definition at line 141 of file simplex.hpp.