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value_cubic_noise.jl
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value_cubic_noise.jl
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struct ValueCubic{N} <: NoiseSampler{N}
random_state::RandomState
end
HashTrait(::Type{<:ValueCubic}) = IsValueHashed()
@inline function _hash(S::Type{<:ValueCubic}, seed, t, c1, c2, c3, c4)
h1 = hash_coords(S, seed, c1...)
h2 = hash_coords(S, seed, c2...)
h3 = hash_coords(S, seed, c3...)
h4 = hash_coords(S, seed, c4...)
cubic_interpolate(h1, h2, h3, h4, t)
end
### 1D
"""
value_cubic_1d(; seed=nothing)
Construct a sampler that outputs 1-dimensonal value cubic noise when it is sampled from.
# Arguments
- `seed`: An unsigned integer used to seed the random number generator for this sampler, or
`nothing` for non-deterministic results.
"""
value_cubic_1d(; seed=nothing) = ValueCubic{1}(RandomState(seed))
@deprecate cubic_1d(; kwargs...) value_cubic_1d(; kwargs...)
function sample(sampler::S, x::Real) where {S<:ValueCubic{1}}
seed = sampler.random_state.seed
X = floor.(Int, x)
X1 = X .* PRIME_X
X2 = X1 + PRIME_X
(_hash(S, seed, x - X, X1 - PRIME_X, X1, X2, X2 + PRIME_X) - 1) / 1.5
end
### 2D
"""
value_cubic_2d(; seed=nothing)
Construct a sampler that outputs 2-dimensonal value cubic noise when it is sampled from.
# Arguments
- `seed`: An unsigned integer used to seed the random number generator for this sampler, or
`nothing` for non-deterministic results.
"""
value_cubic_2d(; seed=nothing) = ValueCubic{2}(RandomState(seed))
@deprecate cubic_2d(; kwargs...) value_cubic_2d(; kwargs...)
function sample(sampler::S, x::T, y::T) where {S<:ValueCubic{2},T<:Real}
seed = sampler.random_state.seed
primes = (PRIME_X, PRIME_Y)
XY = floor.(Int, (x, y))
X2, Y2 = XY .* primes
X1, Y1 = (X2, Y2) .- primes
X3, Y3 = (X2, Y2) .+ primes
X4, Y4 = (X2, Y2) .+ (primes .* 2)
x1, y1 = (x, y) .- XY
c1 = _hash(S, seed, x1, (X1, Y1), (X2, Y1), (X3, Y1), (X4, Y1))
c2 = _hash(S, seed, x1, (X1, Y2), (X2, Y2), (X3, Y2), (X4, Y2))
c3 = _hash(S, seed, x1, (X1, Y3), (X2, Y3), (X3, Y3), (X4, Y3))
c4 = _hash(S, seed, x1, (X1, Y4), (X2, Y4), (X3, Y4), (X4, Y4))
(cubic_interpolate(c1, c2, c3, c4, y1) - 1) / 2.25
end
### 3D
"""
value_cubic_3d(; seed=nothing)
Construct a sampler that outputs 3-dimensonal value cubic noise when it is sampled from.
# Arguments
- `seed`: An unsigned integer used to seed the random number generator for this sampler, or
`nothing` for non-deterministic results.
"""
value_cubic_3d(; seed=nothing) = ValueCubic{3}(RandomState(seed))
@deprecate cubic_3d(; kwargs...) value_cubic_3d(; kwargs...)
function sample(sampler::S, x::T, y::T, z::T) where {S<:ValueCubic{3},T<:Real}
seed = sampler.random_state.seed
primes = (PRIME_X, PRIME_Y, PRIME_Z)
XYZ = floor.(Int, (x, y, z))
X2, Y2, Z2 = XYZ .* primes
X1, Y1, Z1 = (X2, Y2, Z2) .- primes
X3, Y3, Z3 = (X2, Y2, Z2) .+ primes
X4, Y4, Z4 = (X2, Y2, Z2) .+ primes .* 2
x1, y1, z1 = (x, y, z) .- XYZ
c1 = _hash(S, seed, x1, (X1, Y1, Z1), (X2, Y1, Z1), (X3, Y1, Z1), (X4, Y1, Z1))
c2 = _hash(S, seed, x1, (X1, Y2, Z1), (X2, Y2, Z1), (X3, Y2, Z1), (X4, Y2, Z1))
c3 = _hash(S, seed, x1, (X1, Y3, Z1), (X2, Y3, Z1), (X3, Y3, Z1), (X4, Y3, Z1))
c4 = _hash(S, seed, x1, (X1, Y4, Z1), (X2, Y4, Z1), (X3, Y4, Z1), (X4, Y4, Z1))
c5 = _hash(S, seed, x1, (X1, Y1, Z2), (X2, Y1, Z2), (X3, Y1, Z2), (X4, Y1, Z2))
c6 = _hash(S, seed, x1, (X1, Y2, Z2), (X2, Y2, Z2), (X3, Y2, Z2), (X4, Y2, Z2))
c7 = _hash(S, seed, x1, (X1, Y3, Z2), (X2, Y3, Z2), (X3, Y3, Z2), (X4, Y3, Z2))
c8 = _hash(S, seed, x1, (X1, Y4, Z2), (X2, Y4, Z2), (X3, Y4, Z2), (X4, Y4, Z2))
c9 = _hash(S, seed, x1, (X1, Y1, Z3), (X2, Y1, Z3), (X3, Y1, Z3), (X4, Y1, Z3))
c10 = _hash(S, seed, x1, (X1, Y2, Z3), (X2, Y2, Z3), (X3, Y2, Z3), (X4, Y2, Z3))
c11 = _hash(S, seed, x1, (X1, Y3, Z3), (X2, Y3, Z3), (X3, Y3, Z3), (X4, Y3, Z3))
c12 = _hash(S, seed, x1, (X1, Y4, Z3), (X2, Y4, Z3), (X3, Y4, Z3), (X4, Y4, Z3))
c13 = _hash(S, seed, x1, (X1, Y1, Z4), (X2, Y1, Z4), (X3, Y1, Z4), (X4, Y1, Z4))
c14 = _hash(S, seed, x1, (X1, Y2, Z4), (X2, Y2, Z4), (X3, Y2, Z4), (X4, Y2, Z4))
c15 = _hash(S, seed, x1, (X1, Y3, Z4), (X2, Y3, Z4), (X3, Y3, Z4), (X4, Y3, Z4))
c16 = _hash(S, seed, x1, (X1, Y4, Z4), (X2, Y4, Z4), (X3, Y4, Z4), (X4, Y4, Z4))
r1 = cubic_interpolate(c1, c2, c3, c4, y1)
r2 = cubic_interpolate(c5, c6, c7, c8, y1)
r3 = cubic_interpolate(c9, c10, c11, c12, y1)
r4 = cubic_interpolate(c13, c14, c15, c16, y1)
(cubic_interpolate(r1, r2, r3, r4, z1) - 1) / 3.375
end
### 4D
"""
value_cubic_4d(; seed=nothing)
Construct a sampler that outputs 4-dimensonal value cubic noise when it is sampled from.
# Arguments
- `seed`: An unsigned integer used to seed the random number generator for this sampler, or
`nothing` for non-deterministic results.
"""
value_cubic_4d(; seed=nothing) = ValueCubic{4}(RandomState(seed))
@deprecate cubic_4d(; kwargs...) value_cubic_4d(; kwargs...)
function sample(sampler::S, x::T, y::T, z::T, w::T) where {S<:ValueCubic{4},T<:Real}
seed = sampler.random_state.seed
primes = (PRIME_X, PRIME_Y, PRIME_Z, PRIME_W)
XYZW = floor.(Int, (x, y, z, w))
X2, Y2, Z2, W2 = XYZW .* primes
X1, Y1, Z1, W1 = (X2, Y2, Z2, W2) .- primes
X3, Y3, Z3, W3 = (X2, Y2, Z2, W2) .+ primes
X4, Y4, Z4, W4 = (X2, Y2, Z2, W2) .+ primes .* 2
x1, y1, z1, w1 = (x, y, z, w) .- XYZW
c1 = _hash(S, seed, x1, (X1, Y1, Z1, W1), (X2, Y1, Z1, W1), (X3, Y1, Z1, W1), (X4, Y1, Z1, W1))
c2 = _hash(S, seed, x1, (X1, Y2, Z1, W1), (X2, Y2, Z1, W1), (X3, Y2, Z1, W1), (X4, Y2, Z1, W1))
c3 = _hash(S, seed, x1, (X1, Y3, Z1, W1), (X2, Y3, Z1, W1), (X3, Y3, Z1, W1), (X4, Y3, Z1, W1))
c4 = _hash(S, seed, x1, (X1, Y4, Z1, W1), (X2, Y4, Z1, W1), (X3, Y4, Z1, W1), (X4, Y4, Z1, W1))
c5 = _hash(S, seed, x1, (X1, Y1, Z2, W1), (X2, Y1, Z2, W1), (X3, Y1, Z2, W1), (X4, Y1, Z2, W1))
c6 = _hash(S, seed, x1, (X1, Y2, Z2, W1), (X2, Y2, Z2, W1), (X3, Y2, Z2, W1), (X4, Y2, Z2, W1))
c7 = _hash(S, seed, x1, (X1, Y3, Z2, W1), (X2, Y3, Z2, W1), (X3, Y3, Z2, W1), (X4, Y3, Z2, W1))
c8 = _hash(S, seed, x1, (X1, Y4, Z2, W1), (X2, Y4, Z2, W1), (X3, Y4, Z2, W1), (X4, Y4, Z2, W1))
c9 = _hash(S, seed, x1, (X1, Y1, Z3, W1), (X2, Y1, Z3, W1), (X3, Y1, Z3, W1), (X4, Y1, Z3, W1))
c10 = _hash(S, seed, x1, (X1, Y2, Z3, W1), (X2, Y2, Z3, W1), (X3, Y2, Z3, W1), (X4, Y2, Z3, W1))
c11 = _hash(S, seed, x1, (X1, Y3, Z3, W1), (X2, Y3, Z3, W1), (X3, Y3, Z3, W1), (X4, Y3, Z3, W1))
c12 = _hash(S, seed, x1, (X1, Y4, Z3, W1), (X2, Y4, Z3, W1), (X3, Y4, Z3, W1), (X4, Y4, Z3, W1))
c13 = _hash(S, seed, x1, (X1, Y1, Z4, W1), (X2, Y1, Z4, W1), (X3, Y1, Z4, W1), (X4, Y1, Z4, W1))
c14 = _hash(S, seed, x1, (X1, Y2, Z4, W1), (X2, Y2, Z4, W1), (X3, Y2, Z4, W1), (X4, Y2, Z4, W1))
c15 = _hash(S, seed, x1, (X1, Y3, Z4, W1), (X2, Y3, Z4, W1), (X3, Y3, Z4, W1), (X4, Y3, Z4, W1))
c16 = _hash(S, seed, x1, (X1, Y4, Z4, W1), (X2, Y4, Z4, W1), (X3, Y4, Z4, W1), (X4, Y4, Z4, W1))
c17 = _hash(S, seed, x1, (X1, Y1, Z1, W2), (X2, Y1, Z1, W2), (X3, Y1, Z1, W2), (X4, Y1, Z1, W2))
c18 = _hash(S, seed, x1, (X1, Y2, Z1, W2), (X2, Y2, Z1, W2), (X3, Y2, Z1, W2), (X4, Y2, Z1, W2))
c19 = _hash(S, seed, x1, (X1, Y3, Z1, W2), (X2, Y3, Z1, W2), (X3, Y3, Z1, W2), (X4, Y3, Z1, W2))
c20 = _hash(S, seed, x1, (X1, Y4, Z1, W2), (X2, Y4, Z1, W2), (X3, Y4, Z1, W2), (X4, Y4, Z1, W2))
c21 = _hash(S, seed, x1, (X1, Y1, Z2, W2), (X2, Y1, Z2, W2), (X3, Y1, Z2, W2), (X4, Y1, Z2, W2))
c22 = _hash(S, seed, x1, (X1, Y2, Z2, W2), (X2, Y2, Z2, W2), (X3, Y2, Z2, W2), (X4, Y2, Z2, W2))
c23 = _hash(S, seed, x1, (X1, Y3, Z2, W2), (X2, Y3, Z2, W2), (X3, Y3, Z2, W2), (X4, Y3, Z2, W2))
c24 = _hash(S, seed, x1, (X1, Y4, Z2, W2), (X2, Y4, Z2, W2), (X3, Y4, Z2, W2), (X4, Y4, Z2, W2))
c25 = _hash(S, seed, x1, (X1, Y1, Z3, W2), (X2, Y1, Z3, W2), (X3, Y1, Z3, W2), (X4, Y1, Z3, W2))
c26 = _hash(S, seed, x1, (X1, Y2, Z3, W2), (X2, Y2, Z3, W2), (X3, Y2, Z3, W2), (X4, Y2, Z3, W2))
c27 = _hash(S, seed, x1, (X1, Y3, Z3, W2), (X2, Y3, Z3, W2), (X3, Y3, Z3, W2), (X4, Y3, Z3, W2))
c28 = _hash(S, seed, x1, (X1, Y4, Z3, W2), (X2, Y4, Z3, W2), (X3, Y4, Z3, W2), (X4, Y4, Z3, W2))
c29 = _hash(S, seed, x1, (X1, Y1, Z4, W2), (X2, Y1, Z4, W2), (X3, Y1, Z4, W2), (X4, Y1, Z4, W2))
c30 = _hash(S, seed, x1, (X1, Y2, Z4, W2), (X2, Y2, Z4, W2), (X3, Y2, Z4, W2), (X4, Y2, Z4, W2))
c31 = _hash(S, seed, x1, (X1, Y3, Z4, W2), (X2, Y3, Z4, W2), (X3, Y3, Z4, W2), (X4, Y3, Z4, W2))
c32 = _hash(S, seed, x1, (X1, Y4, Z4, W2), (X2, Y4, Z4, W2), (X3, Y4, Z4, W2), (X4, Y4, Z4, W2))
c33 = _hash(S, seed, x1, (X1, Y1, Z1, W3), (X2, Y1, Z1, W3), (X3, Y1, Z1, W3), (X4, Y1, Z1, W3))
c34 = _hash(S, seed, x1, (X1, Y2, Z1, W3), (X2, Y2, Z1, W3), (X3, Y2, Z1, W3), (X4, Y2, Z1, W3))
c35 = _hash(S, seed, x1, (X1, Y3, Z1, W3), (X2, Y3, Z1, W3), (X3, Y3, Z1, W3), (X4, Y3, Z1, W3))
c36 = _hash(S, seed, x1, (X1, Y4, Z1, W3), (X2, Y4, Z1, W3), (X3, Y4, Z1, W3), (X4, Y4, Z1, W3))
c37 = _hash(S, seed, x1, (X1, Y1, Z2, W3), (X2, Y1, Z2, W3), (X3, Y1, Z2, W3), (X4, Y1, Z2, W3))
c38 = _hash(S, seed, x1, (X1, Y2, Z2, W3), (X2, Y2, Z2, W3), (X3, Y2, Z2, W3), (X4, Y2, Z2, W3))
c39 = _hash(S, seed, x1, (X1, Y3, Z2, W3), (X2, Y3, Z2, W3), (X3, Y3, Z2, W3), (X4, Y3, Z2, W3))
c40 = _hash(S, seed, x1, (X1, Y4, Z2, W3), (X2, Y4, Z2, W3), (X3, Y4, Z2, W3), (X4, Y4, Z2, W3))
c41 = _hash(S, seed, x1, (X1, Y1, Z3, W3), (X2, Y1, Z3, W3), (X3, Y1, Z3, W3), (X4, Y1, Z3, W3))
c42 = _hash(S, seed, x1, (X1, Y2, Z3, W3), (X2, Y2, Z3, W3), (X3, Y2, Z3, W3), (X4, Y2, Z3, W3))
c43 = _hash(S, seed, x1, (X1, Y3, Z3, W3), (X2, Y3, Z3, W3), (X3, Y3, Z3, W3), (X4, Y3, Z3, W3))
c44 = _hash(S, seed, x1, (X1, Y4, Z3, W3), (X2, Y4, Z3, W3), (X3, Y4, Z3, W3), (X4, Y4, Z3, W3))
c45 = _hash(S, seed, x1, (X1, Y1, Z4, W3), (X2, Y1, Z4, W3), (X3, Y1, Z4, W3), (X4, Y1, Z4, W3))
c46 = _hash(S, seed, x1, (X1, Y2, Z4, W3), (X2, Y2, Z4, W3), (X3, Y2, Z4, W3), (X4, Y2, Z4, W3))
c47 = _hash(S, seed, x1, (X1, Y3, Z4, W3), (X2, Y3, Z4, W3), (X3, Y3, Z4, W3), (X4, Y3, Z4, W3))
c48 = _hash(S, seed, x1, (X1, Y4, Z4, W3), (X2, Y4, Z4, W3), (X3, Y4, Z4, W3), (X4, Y4, Z4, W3))
c49 = _hash(S, seed, x1, (X1, Y1, Z1, W4), (X2, Y1, Z1, W4), (X3, Y1, Z1, W4), (X4, Y1, Z1, W4))
c50 = _hash(S, seed, x1, (X1, Y2, Z1, W4), (X2, Y2, Z1, W4), (X3, Y2, Z1, W4), (X4, Y2, Z1, W4))
c51 = _hash(S, seed, x1, (X1, Y3, Z1, W4), (X2, Y3, Z1, W4), (X3, Y3, Z1, W4), (X4, Y3, Z1, W4))
c52 = _hash(S, seed, x1, (X1, Y4, Z1, W4), (X2, Y4, Z1, W4), (X3, Y4, Z1, W4), (X4, Y4, Z1, W4))
c53 = _hash(S, seed, x1, (X1, Y1, Z2, W4), (X2, Y1, Z2, W4), (X3, Y1, Z2, W4), (X4, Y1, Z2, W4))
c54 = _hash(S, seed, x1, (X1, Y2, Z2, W4), (X2, Y2, Z2, W4), (X3, Y2, Z2, W4), (X4, Y2, Z2, W4))
c55 = _hash(S, seed, x1, (X1, Y3, Z2, W4), (X2, Y3, Z2, W4), (X3, Y3, Z2, W4), (X4, Y3, Z2, W4))
c56 = _hash(S, seed, x1, (X1, Y4, Z2, W4), (X2, Y4, Z2, W4), (X3, Y4, Z2, W4), (X4, Y4, Z2, W4))
c57 = _hash(S, seed, x1, (X1, Y1, Z3, W4), (X2, Y1, Z3, W4), (X3, Y1, Z3, W4), (X4, Y1, Z3, W4))
c58 = _hash(S, seed, x1, (X1, Y2, Z3, W4), (X2, Y2, Z3, W4), (X3, Y2, Z3, W4), (X4, Y2, Z3, W4))
c59 = _hash(S, seed, x1, (X1, Y3, Z3, W4), (X2, Y3, Z3, W4), (X3, Y3, Z3, W4), (X4, Y3, Z3, W4))
c60 = _hash(S, seed, x1, (X1, Y4, Z3, W4), (X2, Y4, Z3, W4), (X3, Y4, Z3, W4), (X4, Y4, Z3, W4))
c61 = _hash(S, seed, x1, (X1, Y1, Z4, W4), (X2, Y1, Z4, W4), (X3, Y1, Z4, W4), (X4, Y1, Z4, W4))
c62 = _hash(S, seed, x1, (X1, Y2, Z4, W4), (X2, Y2, Z4, W4), (X3, Y2, Z4, W4), (X4, Y2, Z4, W4))
c63 = _hash(S, seed, x1, (X1, Y3, Z4, W4), (X2, Y3, Z4, W4), (X3, Y3, Z4, W4), (X4, Y3, Z4, W4))
c64 = _hash(S, seed, x1, (X1, Y4, Z4, W4), (X2, Y4, Z4, W4), (X3, Y4, Z4, W4), (X4, Y4, Z4, W4))
r1a = cubic_interpolate(c1, c2, c3, c4, y1)
r1b = cubic_interpolate(c5, c6, c7, c8, y1)
r1c = cubic_interpolate(c9, c10, c11, c12, y1)
r1d = cubic_interpolate(c13, c14, c15, c16, y1)
r2a = cubic_interpolate(c17, c18, c19, c20, y1)
r2b = cubic_interpolate(c21, c22, c23, c24, y1)
r2c = cubic_interpolate(c25, c26, c27, c28, y1)
r2d = cubic_interpolate(c29, c30, c31, c32, y1)
r3a = cubic_interpolate(c33, c34, c35, c36, y1)
r3b = cubic_interpolate(c37, c38, c39, c40, y1)
r3c = cubic_interpolate(c41, c42, c43, c44, y1)
r3d = cubic_interpolate(c45, c46, c47, c48, y1)
r4a = cubic_interpolate(c49, c50, c51, c52, y1)
r4b = cubic_interpolate(c53, c54, c55, c56, y1)
r4c = cubic_interpolate(c57, c58, c59, c60, y1)
r4d = cubic_interpolate(c61, c62, c63, c64, y1)
r1 = cubic_interpolate(r1a, r1b, r1c, r1d, z1)
r2 = cubic_interpolate(r2a, r2b, r2c, r2d, z1)
r3 = cubic_interpolate(r3a, r3b, r3c, r3d, z1)
r4 = cubic_interpolate(r4a, r4b, r4c, r4d, z1)
(cubic_interpolate(r1, r2, r3, r4, w1) - 1) / 5.0625
end