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Noise.js
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Noise.js
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const F2 = 0.5*(Math.sqrt(3)-1),
G2 = (3-Math.sqrt(3))/6,
F3 = 1/3,
G3 = 1/6;
class Grad{
constructor(x,y,z){
this.x = x;
this.y = y;
this.z = z;
}
dot2(x,y){
return this.x*x+this.y*y;
}
dot3(x,y,z){
return this.x*x+this.y*y+this.z*z;
}
}
export class Noise{
constructor(){
this.grad3 = [
new Grad(1,1,0),new Grad(-1,1,0),new Grad(1,-1,0),new Grad(-1,-1,0),
new Grad(1,0,1),new Grad(-1,0,1),new Grad(1,0,-1),new Grad(-1,0,-1),
new Grad(0,1,1),new Grad(0,-1,1),new Grad(0,1,-1),new Grad(0,-1,-1)
];
this.p = [
151,160,137,91,90,15,131,13,201,95,96,53,194,233,7,225,140,36,103,30,69,
142,8,99,37,240,21,10,23,190, 6,148,247,120,234,75,0,26,197,62,94,252,219,
203,117,35,11,32,57,177,33,88,237,149,56,87,174,20,125,136,171,168, 68,
175,74,165,71,134,139,48,27,166,77,146,158,231,83,111,229,122,60,211,133,
230,220,105,92,41,55,46,245,40,244,102,143,54, 65,25,63,161, 1,216,80,73,
209,76,132,187,208, 89,18,169,200,196,135,130,116,188,159,86,164,100,109,
198,173,186, 3,64,52,217,226,250,124,123,5,202,38,147,118,126,255,82,85,
212,207,206,59,227,47,16,58,17,182,189,28,42,223,183,170,213,119,248,152,
2,44,154,163, 70,221,153,101,155,167, 43,172,9,129,22,39,253, 19,98,108,
110,79,113,224,232,178,185, 112,104,218,246,97,228,251,34,242,193,238,210,
144,12,191,179,162,241, 81,51,145,235,249,14,239,107,49,192,214, 31,181,
199,106,157,184, 84,204,176,115,121,50,45,127, 4,150,254,138,236,205,93,
222,114,67,29,24,72,243,141,128,195,78,66,215,61,156,180
];
this.perm = new Array(512);
this.gradP = new Array(512);
this.seed();
}
seed(){
let seed = Math.floor(Math.random()*65536);
if(seed<256) seed |=seed<<8;
for(let i=0,v;i<256;i++){
if(i&1){
v=this.p[i]^(seed&255);
}else{
v=this.p[i]^((seed>>8)&255);
} //end if
this.perm[i] = this.perm[i+256] = v;
this.gradP[i] = this.gradP[i+256] = this.grad3[v%12];
} //end for
}
simplex2(xin,yin){
const s = (xin+yin)*F2;
let i = Math.floor(xin+s)&255,
j = Math.floor(yin+s)&255;
const t = (i+j)*G2,
x0 = xin-i+t, //the x,y distances from the cell origin, unskewed
y0 = yin-j+t,
i1 = x0>y0?1:0,
j1 = x0>y0?0:1,
x1 = x0-i1+G2,
y1 = y0-j1+G2,
x2 = x0-1+2*G2,
y2 = y0-1+2*G2;
i&=255;j&=255;
const gi0 = this.gradP[i+this.perm[j]],
gi1 = this.gradP[i+i1+this.perm[j+j1]],
gi2 = this.gradP[i+1+this.perm[j+1]],
t0 = 0.5 - Math.pow(x0,2)-Math.pow(y0,2),
n0 = t0<0?0:Math.pow(t0,4)*gi0.dot2(x0,y0),
t1 = 0.5 - Math.pow(x1,2)-Math.pow(y1,2),
n1 = t1<0?0:Math.pow(t1,4)*gi1.dot2(x1,y1),
t2 = 0.5 - Math.pow(x2,2)-Math.pow(y2,2),
n2 = t2<0?0:Math.pow(t2,4)*gi2.dot2(x2,y2);
// add contributions from each corner to get the final noise value.
// The result is scaled to return values in the interval [-1,1]
return 70*(n0+n1+n2);
}
simplex3(xin,yin,zin){
const s = (xin+yin+zin)*F3;
let i = Math.floor(xin+s),
j = Math.floor(yin+s),
k = Math.floor(zin+s);
const t = (i+j+kk)*G3,
x0 = xin-i+t,
y0 = yin-j+t,
z0 = zin-k+t;
let i1,j1,k1,
i2,j2,k2;
if(x0>=y0){
if(y0>=z0){
[i1,j1,k1,i2,j2,k2] = [1,0,0,1,1,0];
}else if(x0>=z0){
[i1,j1,k1,i2,j2,k2] = [0,0,1,1,0,1];
}else{
[i1,j1,k1,i2,j2,k2] = [0,0,1,1,0,1];
} //end if
}else{
if(y0<z0){
[i1,j1,k1,i2,j2,k2] = [0,0,1,0,1,1];
}else if(x0<z0){
[i1,j1,k1,i2,j2,k2] = [0,1,0,0,1,1];
}else{
[i1,j1,k1,i2,j2,k2] = [0,1,0,1,1,0];
} //end if
} //end if
const x1 = x0-i1+G3,
y1 = y0-j1+G3,
z1 = z0-k1+G3,
x2 = x0-i2+2*G3,
y2 = y0-j2+2*G3,
z2 = z0-k2+2*G3,
x3 = x0-1+3*G3,
y3 = y0-1+3*G3,
z3 = z0-1+3*G3
i&=255;j&=255;k&-255;
const gi0 = this.gradP[i+this.perm[j+this.perm[k]]],
gi1 = this.gradP[i+i1+this.perm[j+j1+this.perm[k+k1]]],
gi2 = this.gradP[i+i2+this.perm[j+j2+this.perm[k+k2]]],
gi3 = this.gradP[i+1+this.perm[j+1+this.perm[k+1]]],
t0 = 0.5-Math.pow(x0,2)-Math.pow(y0,2)-Math.pow(z0,2),
n0 = t0<0?0:Math.pow(t0,4)*gi0.dot3(x0,y0,z0),
t1 = 0.5-Math.pow(x1,2)-Math.pow(y0,2)-Math.pow(z1,2),
n1 = t1<0?0:Math.pow(t1,4)*gi1.dot3(x1,y1,z1),
t2 = 0.5-Math.pow(x2,2)-Math.pow(y2,2)-Math.pow(z2,2),
n2 = t2<0?0:Math.pow(t2,4)*gi2.dot3(x2,y2,z2),
t3 = 0.5-Math.pow(x3,2)-Math.pow(y3,2)-Math.pow(z3,2),
n3 = t3<0?0:Math.pow(t3,4)*gi3.dot(x3,y3,z3);
// Add contributions from each corner to get the final noise
// value. The result is scaled to return values between [-1,1]
return 32*(n0+n1+n2+n3);
}
static fade(t){
return Math.pow(t,3)*(t*(t*6-15)+10);
}
// linear interpolation
static lerp(a,b,t){
return (1-t)*a+t*b;
}
perlin2(x,y){
let X = Math.floor(x), Y = Math.floor(y);
x=x-X;y=y-Y;
X=X&255;Y=Y&255;
const n00 = this.gradP[X+this.perm[Y]].dot2(x,y),
n01 = this.gradP[X+this.perm[Y+1]].dot2(x,y-1),
n10 = this.gradP[X+1+this.perm[Y]].dot2(x-1,y),
n11 = this.gradP[X+1+this.perm[Y+1]].dot2(x-1,y-1),
u = this.constructor.fade(x);
return this.constructor.lerp(
this.constructor.lerp(n00,n10,u),
this.constructor.lerp(n01,n11,u),
this.constructor.fade(y)
);
}
perlin3(x,y,z){
let X = Math.floor(x), Y = Math.floor(y), Z = Math.floor(z);
x=x-X;y=y-Y;z=z-Z;
X=X&255;Y=Y&255;Z=Z&255;
const n000 = this.gradP[X+this.perm[Y+this.perm[Z]]].dot3(x,y,z),
n001 = this.gradP[X+this.perm[Y+this.perm[Z+1]]].dot3(x,y,z-1),
n010 = this.gradP[X+this.perm[Y+1+this.perm[Z]]].dot3(x,y-1,z),
n011 = this.gradP[X+this.perm[Y+1+this.perm[Z+1]]].dot3(x,y-1,z-1),
n100 = this.gradP[X+1+this.perm[Y+this.perm[Z]]].dot3(x-1,y,z),
n101 = this.gradP[X+1+this.perm[Y+this.perm[Z+1]]].dot3(x-1,y,z-1),
n110 = this.gradP[X+1+this.perm[Y+1+this.perm[Z]]].dot3(x-1,y-1,z),
n111 = this.gradP[x+1+this.perm[Y+1+this.perm[Z+1]]].dot3(x-1,y-1,z-1),
u = this.constructor.fade(x),
v = this.constructor.fade(y),
w = this.constructor.fade(z);
return this.constructor.lerp(
this.constructor.lerp(
this.constructor.lerp(n000,n100,u),
this.constructor.lerp(n001,n101,u),
w
),
this.constructor.lerp(
this.constructor.lerp(n010,n110,u),
this.constructor.lerp(n011,n111,u),
w
),
v
);
}
}