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fastnoiselite.go
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package fastnoiselite
import "math"
const (
INLINE = 256
OPTIMISE = 512
PrimeX = 501125321
PrimeY = 1136930381
PrimeZ = 1720413743
)
type FNLfloat float32
type NoiseType int32
const (
NoiseTypeOpenSimplex2 NoiseType = iota
NoiseTypeOpenSimplex2S
NoiseTypeCellular
NoiseTypePerlin
NoiseTypeValueCubic
NoiseTypeValue
)
type RotationType3D int32
const (
RotationType3DNone RotationType3D = iota
RotationType3DImproveXYPlanes
RotationType3DImproveXZPlanes
)
type FractalType int32
const (
FractalTypeNone FractalType = iota
FractalTypeFBm
FractalTypeRidged
FractalTypePingPong
FractalTypeDomainWarpProgressive
FractalTypeDomainWarpIndependent
)
type CellularDistanceFunction int32
const (
CellularDistanceFunctionEuclidean CellularDistanceFunction = iota
CellularDistanceFunctionEuclideanSq
CellularDistanceFunctionManhattan
CellularDistanceFunctionHybrid
)
type CellularReturnType int32
const (
CellularReturnTypeCellValue CellularReturnType = iota
CellularReturnTypeDistance
CellularReturnTypeDistance2
CellularReturnTypeDistance2Add
CellularReturnTypeDistance2Sub
CellularReturnTypeDistance2Mul
CellularReturnTypeDistance2Div
)
type DomainWarpType int32
const (
DomainWarpTypeOpenSimplex2 DomainWarpType = iota
DomainWarpTypeOpenSimplex2Reduced
DomainWarpTypeBasicGrid
)
type TransformType3D int32
const (
TransformType3DNone TransformType3D = iota
TransformType3DImproveXYPlanes
TransformType3DImproveXZPlanes
TransformType3DDefaultOpenSimplex2
)
type FastNoiseLite struct {
Seed int32
Frequency float64
mNoiseType NoiseType
mRotationType3D RotationType3D
TransformType3D TransformType3D
FractalType FractalType
mOctaves int32
Lacunarity float64
mGain float64
WeightedStrength float64
PingPongStrength float64
FractalBounding float64
CellularDistanceFunction CellularDistanceFunction
CellularReturnType CellularReturnType
CellularJitterModifier float64
mDomainWarpType DomainWarpType
WarpTransformType3D TransformType3D
DomainWarpAmp float64
}
var Gradients2D [256]float64
var Gradients3D [256]float64
var RandVecs2D [512]float64
var RandVecs3D [1024]float64
func NewNoise() *FastNoiseLite {
n := &FastNoiseLite{}
n.Init()
return n
}
func (n *FastNoiseLite) Init() {
n.Seed = 1337
n.Frequency = 0.01
n.mNoiseType = NoiseTypeOpenSimplex2
n.mRotationType3D = RotationType3DNone
n.TransformType3D = TransformType3DDefaultOpenSimplex2
n.FractalType = FractalTypeNone
n.mOctaves = 3
n.Lacunarity = 2.0
n.mGain = 0.5
n.WeightedStrength = 0.0
n.PingPongStrength = 2.0
n.FractalBounding = 1.0 / 1.75
n.CellularDistanceFunction = CellularDistanceFunctionEuclideanSq
n.CellularReturnType = CellularReturnTypeDistance
n.CellularJitterModifier = 1.0
n.mDomainWarpType = DomainWarpTypeOpenSimplex2
n.WarpTransformType3D = TransformType3DDefaultOpenSimplex2
n.DomainWarpAmp = 1.0
Gradients2D = [256]float64{
0.130526192220052, 0.99144486137381, 0.38268343236509, 0.923879532511287, 0.608761429008721, 0.793353340291235, 0.793353340291235, 0.608761429008721,
0.923879532511287, 0.38268343236509, 0.99144486137381, 0.130526192220051, 0.99144486137381, -0.130526192220051, 0.923879532511287, -0.38268343236509,
0.793353340291235, -0.60876142900872, 0.608761429008721, -0.793353340291235, 0.38268343236509, -0.923879532511287, 0.130526192220052, -0.99144486137381,
-0.130526192220052, -0.99144486137381, -0.38268343236509, -0.923879532511287, -0.608761429008721, -0.793353340291235, -0.793353340291235, -0.608761429008721,
-0.923879532511287, -0.38268343236509, -0.99144486137381, -0.130526192220052, -0.99144486137381, 0.130526192220051, -0.923879532511287, 0.38268343236509,
-0.793353340291235, 0.608761429008721, -0.608761429008721, 0.793353340291235, -0.38268343236509, 0.923879532511287, -0.130526192220052, 0.99144486137381,
0.130526192220052, 0.99144486137381, 0.38268343236509, 0.923879532511287, 0.608761429008721, 0.793353340291235, 0.793353340291235, 0.608761429008721,
0.923879532511287, 0.38268343236509, 0.99144486137381, 0.130526192220051, 0.99144486137381, -0.130526192220051, 0.923879532511287, -0.38268343236509,
0.793353340291235, -0.60876142900872, 0.608761429008721, -0.793353340291235, 0.38268343236509, -0.923879532511287, 0.130526192220052, -0.99144486137381,
-0.130526192220052, -0.99144486137381, -0.38268343236509, -0.923879532511287, -0.608761429008721, -0.793353340291235, -0.793353340291235, -0.608761429008721,
-0.923879532511287, -0.38268343236509, -0.99144486137381, -0.130526192220052, -0.99144486137381, 0.130526192220051, -0.923879532511287, 0.38268343236509,
-0.793353340291235, 0.608761429008721, -0.608761429008721, 0.793353340291235, -0.38268343236509, 0.923879532511287, -0.130526192220052, 0.99144486137381,
0.130526192220052, 0.99144486137381, 0.38268343236509, 0.923879532511287, 0.608761429008721, 0.793353340291235, 0.793353340291235, 0.608761429008721,
0.923879532511287, 0.38268343236509, 0.99144486137381, 0.130526192220051, 0.99144486137381, -0.130526192220051, 0.923879532511287, -0.38268343236509,
0.793353340291235, -0.60876142900872, 0.608761429008721, -0.793353340291235, 0.38268343236509, -0.923879532511287, 0.130526192220052, -0.99144486137381,
-0.130526192220052, -0.99144486137381, -0.38268343236509, -0.923879532511287, -0.608761429008721, -0.793353340291235, -0.793353340291235, -0.608761429008721,
-0.923879532511287, -0.38268343236509, -0.99144486137381, -0.130526192220052, -0.99144486137381, 0.130526192220051, -0.923879532511287, 0.38268343236509,
-0.793353340291235, 0.608761429008721, -0.608761429008721, 0.793353340291235, -0.38268343236509, 0.923879532511287, -0.130526192220052, 0.99144486137381,
0.130526192220052, 0.99144486137381, 0.38268343236509, 0.923879532511287, 0.608761429008721, 0.793353340291235, 0.793353340291235, 0.608761429008721,
0.923879532511287, 0.38268343236509, 0.99144486137381, 0.130526192220051, 0.99144486137381, -0.130526192220051, 0.923879532511287, -0.38268343236509,
0.793353340291235, -0.60876142900872, 0.608761429008721, -0.793353340291235, 0.38268343236509, -0.923879532511287, 0.130526192220052, -0.99144486137381,
-0.130526192220052, -0.99144486137381, -0.38268343236509, -0.923879532511287, -0.608761429008721, -0.793353340291235, -0.793353340291235, -0.608761429008721,
-0.923879532511287, -0.38268343236509, -0.99144486137381, -0.130526192220052, -0.99144486137381, 0.130526192220051, -0.923879532511287, 0.38268343236509,
-0.793353340291235, 0.608761429008721, -0.608761429008721, 0.793353340291235, -0.38268343236509, 0.923879532511287, -0.130526192220052, 0.99144486137381,
0.130526192220052, 0.99144486137381, 0.38268343236509, 0.923879532511287, 0.608761429008721, 0.793353340291235, 0.793353340291235, 0.608761429008721,
0.923879532511287, 0.38268343236509, 0.99144486137381, 0.130526192220051, 0.99144486137381, -0.130526192220051, 0.923879532511287, -0.38268343236509,
0.793353340291235, -0.60876142900872, 0.608761429008721, -0.793353340291235, 0.38268343236509, -0.923879532511287, 0.130526192220052, -0.99144486137381,
-0.130526192220052, -0.99144486137381, -0.38268343236509, -0.923879532511287, -0.608761429008721, -0.793353340291235, -0.793353340291235, -0.608761429008721,
-0.923879532511287, -0.38268343236509, -0.99144486137381, -0.130526192220052, -0.99144486137381, 0.130526192220051, -0.923879532511287, 0.38268343236509,
-0.793353340291235, 0.608761429008721, -0.608761429008721, 0.793353340291235, -0.38268343236509, 0.923879532511287, -0.130526192220052, 0.99144486137381,
0.38268343236509, 0.923879532511287, 0.923879532511287, 0.38268343236509, 0.923879532511287, -0.38268343236509, 0.38268343236509, -0.923879532511287,
-0.38268343236509, -0.923879532511287, -0.923879532511287, -0.38268343236509, -0.923879532511287, 0.38268343236509, -0.38268343236509, 0.923879532511287,
}
Gradients3D = [256]float64{
0, 1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, -1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0,
0, 1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, -1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0,
0, 1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, -1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0,
0, 1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, -1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0,
0, 1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0,
1, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, -1, 0,
1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0,
1, 1, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0, -1, -1, 0,
}
RandVecs2D = [512]float64{
-0.2700222198, -0.9628540911, 0.3863092627, -0.9223693152, 0.04444859006, -0.999011673, -0.5992523158, -0.8005602176, -0.7819280288, 0.6233687174, 0.9464672271, 0.3227999196, -0.6514146797, -0.7587218957, 0.9378472289, 0.347048376,
-0.8497875957, -0.5271252623, -0.879042592, 0.4767432447, -0.892300288, -0.4514423508, -0.379844434, -0.9250503802, -0.9951650832, 0.0982163789, 0.7724397808, -0.6350880136, 0.7573283322, -0.6530343002, -0.9928004525, -0.119780055,
-0.0532665713, 0.9985803285, 0.9754253726, -0.2203300762, -0.7665018163, 0.6422421394, 0.991636706, 0.1290606184, -0.994696838, 0.1028503788, -0.5379205513, -0.84299554, 0.5022815471, -0.8647041387, 0.4559821461, -0.8899889226,
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0.081921007, -0.7207336136, -0.6883545647, 0, -0.6993680906, -0.5875763221, -0.4069869034, 0, -0.1281454481, 0.6419895885, 0.7559286424, 0, -0.6337388239, -0.6785471501, -0.3714146849, 0, 0.5565051903, -0.2168887573, -0.8020356851, 0, -0.5791554484, 0.7244372011, -0.3738578718, 0, 0.1175779076, -0.7096451073, 0.6946792478, 0, -0.6134619607, 0.1323631078, 0.7785527795, 0,
0.6984635305, -0.02980516237, -0.715024719, 0, 0.8318082963, -0.3930171956, 0.3919597455, 0, 0.1469576422, 0.05541651717, -0.9875892167, 0, 0.708868575, -0.2690503865, 0.6520101478, 0, 0.2726053183, 0.67369766, -0.68688995, 0, -0.6591295371, 0.3035458599, -0.6880466294, 0, 0.4815131379, -0.7528270071, 0.4487723203, 0, 0.9430009463, 0.1675647412, -0.2875261255, 0,
0.434802957, 0.7695304522, -0.4677277752, 0, 0.3931996188, 0.594473625, 0.7014236729, 0, 0.7254336655, -0.603925654, 0.3301814672, 0, 0.7590235227, -0.6506083235, 0.02433313207, 0, -0.8552768592, -0.3430042733, 0.3883935666, 0, -0.6139746835, 0.6981725247, 0.3682257648, 0, -0.7465905486, -0.5752009504, 0.3342849376, 0, 0.5730065677, 0.810555537, -0.1210916791, 0,
-0.9225877367, -0.3475211012, -0.167514036, 0, -0.7105816789, -0.4719692027, -0.5218416899, 0, -0.08564609717, 0.3583001386, 0.929669703, 0, -0.8279697606, -0.2043157126, 0.5222271202, 0, 0.427944023, 0.278165994, 0.8599346446, 0, 0.5399079671, -0.7857120652, -0.3019204161, 0, 0.5678404253, -0.5495413974, -0.6128307303, 0, -0.9896071041, 0.1365639107, -0.04503418428, 0,
-0.6154342638, -0.6440875597, 0.4543037336, 0, 0.1074204368, -0.7946340692, 0.5975094525, 0, -0.3595449969, -0.8885529948, 0.28495784, 0, -0.2180405296, 0.1529888965, 0.9638738118, 0, -0.7277432317, -0.6164050508, -0.3007234646, 0, 0.7249729114, -0.00669719484, 0.6887448187, 0, -0.5553659455, -0.5336586252, 0.6377908264, 0, 0.5137558015, 0.7976208196, -0.3160000073, 0,
-0.3794024848, 0.9245608561, -0.03522751494, 0, 0.8229248658, 0.2745365933, -0.4974176556, 0, -0.5404114394, 0.6091141441, 0.5804613989, 0, 0.8036581901, -0.2703029469, 0.5301601931, 0, 0.6044318879, 0.6832968393, 0.4095943388, 0, 0.06389988817, 0.9658208605, -0.2512108074, 0, 0.1087113286, 0.7402471173, -0.6634877936, 0, -0.713427712, -0.6926784018, 0.1059128479, 0,
0.6458897819, -0.5724548511, -0.5050958653, 0, -0.6553931414, 0.7381471625, 0.159995615, 0, 0.3910961323, 0.9188871375, -0.05186755998, 0, -0.4879022471, -0.5904376907, 0.6429111375, 0, 0.6014790094, 0.7707441366, -0.2101820095, 0, -0.5677173047, 0.7511360995, 0.3368851762, 0, 0.7858573506, 0.226674665, 0.5753666838, 0, -0.4520345543, -0.604222686, -0.6561857263, 0,
0.002272116345, 0.4132844051, -0.9105991643, 0, -0.5815751419, -0.5162925989, 0.6286591339, 0, -0.03703704785, 0.8273785755, 0.5604221175, 0, -0.5119692504, 0.7953543429, -0.3244980058, 0, -0.2682417366, -0.9572290247, -0.1084387619, 0, -0.2322482736, -0.9679131102, -0.09594243324, 0, 0.3554328906, -0.8881505545, 0.2913006227, 0, 0.7346520519, -0.4371373164, 0.5188422971, 0,
0.9985120116, 0.04659011161, -0.02833944577, 0, -0.3727687496, -0.9082481361, 0.1900757285, 0, 0.91737377, -0.3483642108, 0.1925298489, 0, 0.2714911074, 0.4147529736, -0.8684886582, 0, 0.5131763485, -0.7116334161, 0.4798207128, 0, -0.8737353606, 0.18886992, -0.4482350644, 0, 0.8460043821, -0.3725217914, 0.3814499973, 0, 0.8978727456, -0.1780209141, -0.4026575304, 0,
0.2178065647, -0.9698322841, -0.1094789531, 0, -0.1518031304, -0.7788918132, -0.6085091231, 0, -0.2600384876, -0.4755398075, -0.8403819825, 0, 0.572313509, -0.7474340931, -0.3373418503, 0, -0.7174141009, 0.1699017182, -0.6756111411, 0, -0.684180784, 0.02145707593, -0.7289967412, 0, -0.2007447902, 0.06555605789, -0.9774476623, 0, -0.1148803697, -0.8044887315, 0.5827524187, 0,
-0.7870349638, 0.03447489231, 0.6159443543, 0, -0.2015596421, 0.6859872284, 0.6991389226, 0, -0.08581082512, -0.10920836, -0.9903080513, 0, 0.5532693395, 0.7325250401, -0.396610771, 0, -0.1842489331, -0.9777375055, -0.1004076743, 0, 0.0775473789, -0.9111505856, 0.4047110257, 0, 0.1399838409, 0.7601631212, -0.6344734459, 0, 0.4484419361, -0.845289248, 0.2904925424, 0,
}
}
func (n *FastNoiseLite) SetNoiseType(noiseType NoiseType) {
n.mNoiseType = noiseType
n.UpdateTransformType3D()
}
func (n *FastNoiseLite) SetRotationType3D(rotationType3D RotationType3D) {
n.mRotationType3D = rotationType3D
n.UpdateTransformType3D()
n.UpdateWarpTransformType3D()
}
func (n *FastNoiseLite) SetFractalOctaves(octaves int32) {
n.mOctaves = octaves
n.CalculateFractalBounding()
}
func (n *FastNoiseLite) SetFractaclGain(gain float64) {
n.mGain = gain
n.CalculateFractalBounding()
}
func (n *FastNoiseLite) SetDomainWarpType(domainWarpType DomainWarpType) {
n.mDomainWarpType = domainWarpType
n.UpdateWarpTransformType3D()
}
func (n *FastNoiseLite) GetNoise2D(x FNLfloat, y FNLfloat) float64 {
n.TransformNoiseCoordinate2D(&x, &y)
switch n.FractalType {
case FractalTypeFBm:
return n.GenFractalFBm2D(x, y)
case FractalTypeRidged:
return n.GenFractalRidged2D(x, y)
case FractalTypePingPong:
return n.GenFractalPingPong2D(x, y)
default:
return n.GenNoiseSingle2D(n.Seed, x, y)
}
}
func (n *FastNoiseLite) GetNoise3D(x FNLfloat, y FNLfloat, z FNLfloat) float64 {
n.TransformNoiseCoordinate3D(&x, &y, &z)
switch n.FractalType {
case FractalTypeFBm:
return n.GenFractalFBm3D(x, y, z)
case FractalTypeRidged:
return n.GenFractalRidged3D(x, y, z)
case FractalTypePingPong:
return n.GenFractalPingPong3D(x, y, z)
default:
return n.GenNoiseSingle3D(n.Seed, x, y, z)
}
}
func (n *FastNoiseLite) DomainWarp2D(x *FNLfloat, y *FNLfloat) {
switch n.FractalType {
default:
n.DomainWarpSingle2D(x, y)
case FractalTypeDomainWarpProgressive:
n.DomainWarpFractalProgressive2D(x, y)
case FractalTypeDomainWarpIndependent:
n.DomainWarpFractalIndependent2D(x, y)
}
}
func (n *FastNoiseLite) DomainWarp3D(x *FNLfloat, y *FNLfloat, z *FNLfloat) {
switch n.FractalType {
default:
n.DomainWarpSingle3D(x, y, z)
case FractalTypeDomainWarpProgressive:
n.DomainWarpFractalProgressive3D(x, y, z)
case FractalTypeDomainWarpIndependent:
n.DomainWarpFractalIndependent3D(x, y, z)
}
}
func InterpHermite(t float64) float64 {
return t * t * (3 - 2*t)
}
func Lerp(a float64, b float64, t float64) float64 {
return a + t*(b-a)
}
func CubicLerp(a float64, b float64, c float64, d float64, t float64) float64 {
p := (d - c) - (a - b)
return t*t*t*p + t*t*((a-b)-p) + t*(c-a) + b
}
func InterpQuintic(t float64) float64 {
return t * t * t * (t*(t*6.0-15.0) + 10.0)
}
func PingPong(t float64) float64 {
t -= float64(int(t*0.5)) * 2.0
if t < 1 {
return t
} else {
return 2 - t
}
}
func Hash2D(seed int32, xPrimed int32, yPrimed int32) int32 {
hash := seed ^ xPrimed ^ yPrimed
hash *= 0x27d4eb2d
return hash
}
func Hash3D(seed int32, xPrimed int32, yPrimed int32, zPrimed int32) int32 {
hash := seed ^ xPrimed ^ yPrimed ^ zPrimed
hash *= 0x27d4eb2d
return hash
}
func ValCoord2D(seed int32, xPrimed int32, yPrimed int32) float64 {
hash := Hash2D(seed, xPrimed, yPrimed)
hash *= hash
hash = hash ^ hash<<19
return float64(hash) * (1.0 / 2147483648.0)
}
func ValCoord3D(seed int32, xPrimed int32, yPrimed int32, zPrimed int32) float64 {
hash := Hash3D(seed, xPrimed, yPrimed, zPrimed)
hash *= hash
hash = hash ^ hash<<19
return float64(hash) * (1.0 / 2147483648.0)
}
func GradCoord2D(seed int32, xPrimed int32, yPrimed int32, xd float64, yd float64) float64 {
hash := Hash2D(seed, xPrimed, yPrimed)
hash ^= hash >> 15
hash &= 127 << 1
xg := Gradients2D[hash]
yg := Gradients2D[hash|1]
return xd*xg + yd*yg
}
func GradCoord3D(seed int32, xPrimed int32, yPrimed int32, zPrimed int32, xd float64, yd float64, zd float64) float64 {
hash := Hash3D(seed, xPrimed, yPrimed, zPrimed)
hash ^= hash >> 15
hash &= 63 << 2
xg := Gradients3D[hash]
yg := Gradients3D[hash|1]
zg := Gradients3D[hash|2]
return xd*xg + yd*yg + zd*zg
}
func GradCoordOut2D(seed int32, xPrimed int32, yPrimed int32, xo *float64, yo *float64) {
hash := Hash2D(seed, xPrimed, yPrimed) & (255 << 1)
*xo = RandVecs2D[hash]
*yo = RandVecs2D[hash|1]
}
func GradCoordOut3D(seed int32, xPrimed int32, yPrimed int32, zPrimed int32, xo *float64, yo *float64, zo *float64) {
hash := Hash3D(seed, xPrimed, yPrimed, zPrimed) & (255 << 2)
*xo = RandVecs3D[hash]
*yo = RandVecs3D[hash|1]
*zo = RandVecs3D[hash|2]
}
func GradCoordDual2D(seed int32, xPrimed int32, yPrimed int32, xd float64, yd float64, xo *float64, yo *float64) {
hash := Hash2D(seed, xPrimed, yPrimed)
index1 := hash & (127 << 1)
index2 := (hash >> 7) & (255 << 1)
xg := Gradients2D[index1]
yg := Gradients2D[index1|1]
value := xd*xg + yd*yg
xgo := RandVecs2D[index2]
ygo := RandVecs2D[index2|1]
*xo = value * xgo
*yo = value * ygo
}
func GradCoordDual3D(seed int32, xPrimed int32, yPrimed int32, zPrimed int32, xd float64, yd float64, zd float64, xo *float64, yo *float64, zo *float64) {
hash := Hash3D(seed, xPrimed, yPrimed, zPrimed)
index1 := hash & (63 << 2)
index2 := (hash >> 6) & (255 << 2)
xg := Gradients3D[index1]
yg := Gradients3D[index1|1]
zg := Gradients3D[index1|2]
value := xd*xg + yd*yg + zd*zg
xgo := RandVecs3D[index2]
ygo := RandVecs3D[index2|1]
zgo := RandVecs3D[index2|2]
*xo = value * xgo
*yo = value * ygo
*zo = value * zgo
}
func (n *FastNoiseLite) TransformNoiseCoordinate2D(x *FNLfloat, y *FNLfloat) {
*x *= FNLfloat(n.Frequency)
*y *= FNLfloat(n.Frequency)
if (n.mNoiseType == NoiseTypeOpenSimplex2) || (n.mNoiseType == NoiseTypeOpenSimplex2S) {
const SQRT3 = 1.7320508075688772935274463415059
const F2 = 0.5 * (SQRT3 - 1)
t := (*x + *y) * F2
*x += t
*y += t
}
}
func (n *FastNoiseLite) TransformNoiseCoordinate3D(x *FNLfloat, y *FNLfloat, z *FNLfloat) {
*x *= FNLfloat(n.Frequency)
*y *= FNLfloat(n.Frequency)
*z *= FNLfloat(n.Frequency)
switch n.TransformType3D {
case TransformType3DImproveXYPlanes:
xy := *x + *y
s2 := xy * -FNLfloat(0.211324865405187)
*z *= FNLfloat(0.577350269189626)
*x += s2 - *z
*y = *y + s2 - *z
*z += xy * FNLfloat(0.577350269189626)
case TransformType3DImproveXZPlanes:
xz := *x + *z
s2 := xz * -FNLfloat(0.211324865405187)
*y *= FNLfloat(0.577350269189626)
*x += s2 - *y
*z += s2 - *y
*y += xz * FNLfloat(0.577350269189626)
case TransformType3DDefaultOpenSimplex2:
R3 := FNLfloat(2.0 / 3.0)
r := (*x + *y + *z) * R3 // Rotation, not skew
*x = r - *x
*y = r - *y
*z = r - *z
}
}
func (n *FastNoiseLite) CalculateFractalBounding() {
gain := math.Abs(n.mGain)
amp := gain
ampFractal := 1.0
for i := int32(1); i < n.mOctaves; i++ {
ampFractal += amp
amp *= gain
}
n.FractalBounding = 1 / ampFractal
}
func (n *FastNoiseLite) UpdateTransformType3D() {
switch n.mRotationType3D {
case RotationType3DImproveXYPlanes:
n.TransformType3D = TransformType3DImproveXYPlanes
case RotationType3DImproveXZPlanes:
n.TransformType3D = TransformType3DImproveXZPlanes
default:
switch n.mNoiseType {
case NoiseTypeOpenSimplex2, NoiseTypeOpenSimplex2S:
n.TransformType3D = TransformType3DDefaultOpenSimplex2
default:
n.TransformType3D = TransformType3DNone
}
}
}
func (n *FastNoiseLite) UpdateWarpTransformType3D() {
switch n.mRotationType3D {
case RotationType3DImproveXYPlanes:
n.WarpTransformType3D = TransformType3DImproveXYPlanes
case RotationType3DImproveXZPlanes:
n.WarpTransformType3D = TransformType3DImproveXZPlanes
default:
switch n.mNoiseType {
case NoiseTypeOpenSimplex2, NoiseTypeOpenSimplex2S:
n.WarpTransformType3D = TransformType3DDefaultOpenSimplex2
default:
n.WarpTransformType3D = TransformType3DNone
}
}
}
func (n *FastNoiseLite) GenNoiseSingle2D(seed int32, x FNLfloat, y FNLfloat) float64 {
switch n.mNoiseType {
case NoiseTypeOpenSimplex2:
return n.SingleSimplex2D(seed, x, y)
case NoiseTypeOpenSimplex2S:
return n.SingleOpenSimplex2S2D(seed, x, y)
case NoiseTypeCellular:
return n.SingleCellular2D(seed, x, y)
case NoiseTypePerlin:
return n.SinglePerlin2D(seed, x, y)
case NoiseTypeValueCubic:
return n.SingleValueCubic2D(seed, x, y)
case NoiseTypeValue:
return n.SingleValue2D(seed, x, y)
default:
return 0.0
}
}
func (n *FastNoiseLite) GenNoiseSingle3D(seed int32, x FNLfloat, y FNLfloat, z FNLfloat) float64 {
switch n.mNoiseType {
case NoiseTypeOpenSimplex2:
return n.SingleSimplex3D(seed, x, y, z)
case NoiseTypeOpenSimplex2S:
return n.SingleOpenSimplex2S3D(seed, x, y, z)
case NoiseTypeCellular:
return n.SingleCellular3D(seed, x, y, z)
case NoiseTypePerlin:
return n.SinglePerlin3D(seed, x, y, z)
case NoiseTypeValueCubic:
return n.SingleValueCubic3D(seed, x, y, z)
case NoiseTypeValue:
return n.SingleValue3D(seed, x, y, z)
default:
return 0.0
}
}
func (n *FastNoiseLite) GenFractalFBm2D(x FNLfloat, y FNLfloat) float64 {
seed := n.Seed
sum := 0.0
amp := n.FractalBounding
for i := int32(0); i < n.mOctaves; i++ {
noise := n.GenNoiseSingle2D(seed, x, y)
seed += 1
sum += noise * amp
amp *= Lerp(1.0, math.Min(noise+1.0, 2.0)*0.5, n.WeightedStrength)
x *= FNLfloat(n.Lacunarity)
y *= FNLfloat(n.Lacunarity)
amp *= n.mGain
}
return sum
}
func (n *FastNoiseLite) GenFractalFBm3D(x FNLfloat, y FNLfloat, z FNLfloat) float64 {
seed := n.Seed
sum := 0.0
amp := n.FractalBounding
for i := int32(0); i < n.mOctaves; i++ {
noise := n.GenNoiseSingle3D(seed, x, y, z)
seed += 1
sum += noise * amp
amp *= Lerp(1.0, (noise+1)*0.5, n.WeightedStrength)
x *= FNLfloat(n.Lacunarity)
y *= FNLfloat(n.Lacunarity)
z *= FNLfloat(n.Lacunarity)
amp *= n.mGain
}
return sum
}
func (n *FastNoiseLite) GenFractalRidged2D(x FNLfloat, y FNLfloat) float64 {
seed := n.Seed
sum := 0.0
amp := n.FractalBounding
for i := int32(0); i < n.mOctaves; i++ {
noise := math.Abs(n.GenNoiseSingle2D(seed, x, y))
seed += 1
sum += (noise*-2.0 + 1.0) * amp
amp *= Lerp(1.0, 1-noise, n.WeightedStrength)
x *= FNLfloat(n.Lacunarity)
y *= FNLfloat(n.Lacunarity)
amp *= n.mGain
}
return sum
}
func (n *FastNoiseLite) GenFractalRidged3D(x FNLfloat, y FNLfloat, z FNLfloat) float64 {
seed := n.Seed
sum := 0.0
amp := n.FractalBounding
for i := int32(0); i < n.mOctaves; i++ {
noise := math.Abs(n.GenNoiseSingle3D(seed, x, y, z))
seed += 1
sum += (noise*-2.0 + 1.0) * amp
amp *= Lerp(1.0, 1-noise, n.WeightedStrength)
x *= FNLfloat(n.Lacunarity)
y *= FNLfloat(n.Lacunarity)
z *= FNLfloat(n.Lacunarity)
amp *= n.mGain
}
return sum
}
func (n *FastNoiseLite) GenFractalPingPong2D(x FNLfloat, y FNLfloat) float64 {
seed := n.Seed
sum := 0.0
amp := n.FractalBounding
for i := int32(0); i < n.mOctaves; i++ {
noise := PingPong((n.GenNoiseSingle2D(seed, x, y) + 1) * n.PingPongStrength)
seed += 1
sum += (noise - 0.5) * 2 * amp
amp *= Lerp(1.0, noise, n.WeightedStrength)
x *= FNLfloat(n.Lacunarity)
y *= FNLfloat(n.Lacunarity)
amp *= n.mGain
}
return sum
}
func (n *FastNoiseLite) GenFractalPingPong3D(x FNLfloat, y FNLfloat, z FNLfloat) float64 {
seed := n.Seed
sum := 0.0
amp := n.FractalBounding
for i := int32(0); i < n.mOctaves; i++ {
noise := PingPong((n.GenNoiseSingle3D(seed, x, y, z) + 1) * n.PingPongStrength)
seed += 1
sum += (noise - 0.5) * 2 * amp
amp *= Lerp(1.0, noise, n.WeightedStrength)
x *= FNLfloat(n.Lacunarity)
y *= FNLfloat(n.Lacunarity)
z *= FNLfloat(n.Lacunarity)
amp *= n.mGain
}
return sum
}
func (n *FastNoiseLite) SingleSimplex2D(seed int32, x FNLfloat, y FNLfloat) float64 {
const SQRT3 = 1.7320508075688772935274463415059
const G2 = (3 - SQRT3) / 6
i := int32(math.Floor(float64(x)))
j := int32(math.Floor(float64(y)))
xi := float64(x) - float64(i)
yi := float64(y) - float64(j)
t := (xi + yi) * G2
x0 := float64(xi - t)
y0 := float64(yi - t)
i *= PrimeX
j *= PrimeY
var n0, n1, n2 float64
a := 0.5 - x0*x0 - y0*y0
if a <= 0 {
n0 = 0
} else {
n0 = (a * a) * (a * a) * GradCoord2D(seed, i, j, x0, y0)
}
c := float64(2*(1-2*G2)*(1/G2-2))*t + (float64(-2*(1-2*G2)*(1-2*G2)) + a)
if c <= 0 {
n2 = 0
} else {
x2 := x0 + (2.0*G2 - 1.0)
y2 := y0 + (2.0*G2 - 1.0)
n2 = (c * c) * (c * c) * GradCoord2D(seed, i+PrimeX, j+PrimeY, x2, y2)
}
if y0 > x0 {
x1 := x0 + G2
y1 := y0 + (G2 - 1.0)
b := 0.5 - x1*x1 - y1*y1
if b <= 0 {
n1 = 0
} else {
n1 = (b * b) * (b * b) * GradCoord2D(seed, i, j+PrimeY, x1, y1)
}
} else {
x1 := x0 + (G2 - 1.0)
y1 := y0 + G2
b := 0.5 - x1*x1 - y1*y1
if b <= 0 {
n1 = 0
} else {
n1 = (b * b) * (b * b) * GradCoord2D(seed, i+PrimeX, j, x1, y1)
}
}
return (n0 + n1 + n2) * 99.83685446303647
}
func (n *FastNoiseLite) SingleSimplex3D(seed int32, x FNLfloat, y FNLfloat, z FNLfloat) float64 {
i := int32(math.Round(float64(x)))
j := int32(math.Round(float64(y)))
k := int32(math.Round(float64(z)))
x0 := float64(x) - float64(i)
y0 := float64(y) - float64(j)
z0 := float64(z) - float64(k)
xNSign := int32(-1.0-x0) | 1
yNSign := int32(-1.0-y0) | 1
zNSign := int32(-1.0-z0) | 1
ax0 := float64(xNSign) * -x0
ay0 := float64(yNSign) * -y0
az0 := float64(zNSign) * -z0
i *= PrimeX
j *= PrimeY
k *= PrimeZ
value := 0.0
a := (0.6 - x0*x0) - (y0*y0 + z0*z0)
for l := 0; ; l++ {
if a > 0 {
value += (a * a) * (a * a) * GradCoord3D(seed, i, j, k, x0, y0, z0)
}
if ax0 >= ay0 && ax0 >= az0 {
b := a + ax0 + ax0
if b > 1.0 {
b -= 1.0
value += (b * b) * (b * b) * GradCoord3D(seed, i-xNSign*PrimeX, j, k, x0+float64(xNSign), y0, z0)
}
} else if ay0 > ax0 && ay0 >= az0 {
b := a + ay0 + ay0
if b > 1.0 {
b -= 1.0
value += (b * b) * (b * b) * GradCoord3D(seed, i, j-yNSign*PrimeY, k, x0, y0+float64(yNSign), z0)
}
} else {
b := a + az0 + az0
if b > 1.0 {
b -= 1.0
value += (b * b) * (b * b) * GradCoord3D(seed, i, j, k-zNSign*PrimeZ, x0, y0, z0+float64(zNSign))
}
}
if l == 1 {
break
}
ax0 = 0.5 - ax0
ay0 = 0.5 - ay0
az0 = 0.5 - az0
x0 = float64(xNSign) * ax0
y0 = float64(yNSign) * ay0
z0 = float64(zNSign) * az0
a += (0.75 - ax0) - (ay0 + az0)
i += (xNSign >> 1) & PrimeX
j += (yNSign >> 1) & PrimeY
k += (zNSign >> 1) & PrimeZ
xNSign = -xNSign
yNSign = -yNSign
zNSign = -zNSign
seed = ^seed
}
return value * 32.69428253173828125
}
func (n *FastNoiseLite) SingleOpenSimplex2S2D(seed int32, x FNLfloat, y FNLfloat) float64 {
// 2D OpenSimplex2S case is a modified 2D simplex noise.
const SQRT3 = FNLfloat(1.7320508075688772935274463415059)
const G2 = (3.0 - SQRT3) / 6.0
i := int32(math.Floor(float64(x)))
j := int32(math.Floor(float64(y)))
xi := float64(x) - float64(i)
yi := float64(y) - float64(j)
i *= PrimeX
j *= PrimeY
i1 := int32(i + PrimeX)
j1 := int32(j + PrimeY)
t := (xi + yi) * float64(G2)
x0 := xi - t
y0 := yi - t
a0 := (2.0 / 3.0) - x0*x0 - y0*y0
value := (a0 * a0) * (a0 * a0) * GradCoord2D(seed, i, j, x0, y0)
a1 := (2.0*(1.0-2.0*float64(G2))*(1.0/float64(G2)-2.0))*t + ((-2.0 * (1.0 - 2.0*float64(G2)) * (1.0 - 2.0*float64(G2))) + a0)
x1 := x0 - (1.0 - 2.0*float64(G2))
y1 := y0 - (1.0 - 2.0*float64(G2))
value += (a1 * a1) * (a1 * a1) * GradCoord2D(seed, i1, j1, x1, y1)
// Nested conditionals were faster than compact bit logic/arithmetic.
xmyi := xi - yi
if t > float64(G2) {
if xi+xmyi > 1 {
x2 := x0 + (3.0*float64(G2) - 2.0)
y2 := y0 + (3.0*float64(G2) - 1.0)
a2 := (2.0 / 3.0) - x2*x2 - y2*y2
if a2 > 0 {
value += (a2 * a2) * (a2 * a2) * GradCoord2D(seed, i+(PrimeX<<1), j+PrimeY, x2, y2)
}
} else {
x2 := x0 + float64(G2)
y2 := y0 + float64(G2-1.0)
a2 := (2.0 / 3.0) - x2*x2 - y2*y2
if a2 > 0 {
value += (a2 * a2) * (a2 * a2) * GradCoord2D(seed, i, j+PrimeY, x2, y2)
}
}
if yi-xmyi > 1 {
x3 := x0 + float64(3.0*G2-1.0)
y3 := y0 + float64(3.0*G2-2.0)
a3 := (2.0 / 3.0) - x3*x3 - y3*y3
if a3 > 0 {
value += (a3 * a3) * (a3 * a3) * GradCoord2D(seed, i+PrimeX, int32(int64(j)+(int64(PrimeY)<<1)), x3, y3)
}
} else {
x3 := x0 + float64(G2-1.0)
y3 := y0 + float64(G2)
a3 := (2.0 / 3.0) - x3*x3 - y3*y3
if a3 > 0 {
value += (a3 * a3) * (a3 * a3) * GradCoord2D(seed, i+PrimeX, j, x3, y3)
}
}
} else {
if xi+xmyi < 0 {
x2 := x0 + float64(1.0-G2)
y2 := y0 - float64(G2)
a2 := (2.0 / 3.0) - x2*x2 - y2*y2
if a2 > 0 {
value += (a2 * a2) * (a2 * a2) * GradCoord2D(seed, i-PrimeX, j, x2, y2)
}
} else {
x2 := x0 + float64(G2-1.0)
y2 := y0 + float64(G2)
a2 := (2.0 / 3.0) - x2*x2 - y2*y2
if a2 > 0 {
value += (a2 * a2) * (a2 * a2) * GradCoord2D(seed, i+PrimeX, j, x2, y2)
}
}
if yi < xmyi {
x2 := x0 - float64(G2)
y2 := y0 - float64(G2-1.0)
a2 := (2.0 / 3.0) - x2*x2 - y2*y2
if a2 > 0 {
value += (a2 * a2) * (a2 * a2) * GradCoord2D(seed, i, j-PrimeY, x2, y2)
}
} else {
x2 := x0 + float64(G2)
y2 := y0 + float64(G2-1.0)
a2 := (2.0 / 3.0) - x2*x2 - y2*y2
if a2 > 0 {
value += (a2 * a2) * (a2 * a2) * GradCoord2D(seed, i, j+PrimeY, x2, y2)
}
}
}
return value * 18.24196194486065
}
func (n *FastNoiseLite) SingleOpenSimplex2S3D(seed int32, x FNLfloat, y FNLfloat, z FNLfloat) float64 {
i := int32(math.Floor(float64(x)))
j := int32(math.Floor(float64(y)))
k := int32(math.Floor(float64(z)))
xi := float64(x) - float64(i)
yi := float64(y) - float64(j)
zi := float64(z) - float64(k)
i *= PrimeX
j *= PrimeY
k *= PrimeZ
seed2 := seed + 1293373
xNMask := int32(-0.5 - xi)
yNMask := int32(-0.5 - yi)
zNMask := int32(-0.5 - zi)
x0 := xi + float64(xNMask)
y0 := yi + float64(yNMask)
z0 := zi + float64(zNMask)
a0 := 0.75 - x0*x0 - y0*y0 - z0*z0
value := (a0 * a0) * (a0 * a0) * GradCoord3D(seed,
i+(xNMask&PrimeX), j+(yNMask&PrimeY), k+(zNMask&PrimeZ), x0, y0, z0)
x1 := xi - 0.5
y1 := yi - 0.5
z1 := zi - 0.5
a1 := 0.75 - x1*x1 - y1*y1 - z1*z1
value += (a1 * a1) * (a1 * a1) * GradCoord3D(seed2,
i+PrimeX, j+PrimeY, k+PrimeZ, x1, y1, z1)
xAFlipMask0 := float64((xNMask|1)<<1) * x1
yAFlipMask0 := float64((yNMask|1)<<1) * y1
zAFlipMask0 := float64((zNMask|1)<<1) * z1
xAFlipMask1 := float64(-2-(xNMask<<2))*x1 - 1.0
yAFlipMask1 := float64(-2-(yNMask<<2))*y1 - 1.0
zAFlipMask1 := float64(-2-(zNMask<<2))*z1 - 1.0
skip5 := false
a2 := xAFlipMask0 + a0
if a2 > 0 {
x2 := x0 - float64(xNMask|1)
y2 := y0
z2 := z0
value += (a2 * a2) * (a2 * a2) * GradCoord3D(seed,
i+(^xNMask&PrimeX), j+(yNMask&PrimeY), k+(zNMask&PrimeZ), x2, y2, z2)
} else {
a3 := yAFlipMask0 + zAFlipMask0 + a0
if a3 > 0 {
x3 := x0
y3 := y0 - float64(yNMask|1)
z3 := z0 - float64(zNMask|1)
value += (a3 * a3) * (a3 * a3) * GradCoord3D(seed,
i+(xNMask&PrimeX), j+(^yNMask&PrimeY), k+(^zNMask&PrimeZ), x3, y3, z3)
}
a4 := xAFlipMask1 + a1
if a4 > 0 {
x4 := float64(xNMask|1) + x1
y4 := y1
z4 := z1
value += (a4 * a4) * (a4 * a4) * GradCoord3D(seed2,
i+(xNMask&(PrimeX*2)), j+PrimeY, k+PrimeZ, x4, y4, z4)
skip5 = true
}
}
skip9 := false
a6 := yAFlipMask0 + a0