Created
February 8, 2011 21:26
-
-
Save troufster/817287 to your computer and use it in GitHub Desktop.
Simple 2d-vector interpolator
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
function Interpolator(type) { | |
this._i = type.func; | |
this._snum = type.samples; | |
this.s = []; //Samples | |
}; | |
Interpolator.prototype.addSample = function(sample){ | |
var p = this.s; | |
p.push(sample); | |
if(p.length > this._snum) p.shift(); | |
}; | |
Interpolator.prototype.getValue = function(t){ | |
return this._i(this.s, t); | |
}; | |
Interpolator.Linear = { | |
samples : 2, | |
func : function(d,t){ | |
var v1 = d[0], | |
v2 = d[1]; | |
if(!v2) return new Vector(0,0); | |
var r1x = v1.x * (1-t), | |
r1y = v1.y * (1-t), | |
r2x = v2.x * t, | |
r2y = v2.y * t | |
return(new Vector(r1x+r2x,r1y+r2y)); | |
} | |
}; | |
Interpolator.CatmullRom = { | |
samples : 4, | |
func : function(d,mu) { | |
var v0 = d[0], | |
v1 = d[1], | |
v2 = d[2], | |
v3 = d[3], | |
a0,a1,a2,a3,mu2; | |
if(!v0 || !v1 || !v2 || !v3 || !mu) return new Vector(0,0); | |
mu2 = mu*mu; | |
var a0x = -0.5 * v0.x + 1.5 * v1.x - 1.5 * v2.x + 0.5 * v3.x, | |
a0y = -0.5 * v0.y + 1.5 * v1.y - 1.5 * v2.y + 0.5 * v3.y, | |
a1x = v0.x - 2.5 * v1.x + 2 * v2.x - 0.5 * v3.x, | |
a1y = v0.y - 2.5 * v1.y + 2 * v2.y - 0.5 * v3.y, | |
a2x = -0.5 * v0.x + 0.5 * v2.x, | |
a2y = -0.5 * v0.y + 0.5 * v2.y, | |
a3x = v1.x, | |
a3y = v1.y, | |
rx = a0x * mu * mu2 + a1x * mu2 + a2x * mu + a3x, | |
ry = a0y * mu * mu2 + a1y * mu2 + a2y * mu + a3y; | |
return new Vector(rx,ry); | |
} | |
}; | |
Interpolator.Hermite = { | |
samples : 4, | |
func : function(d,mu) { | |
var v0 = d[0], | |
v1 = d[1], | |
v2 = d[2], | |
v3 = d[3], | |
bias = 0, | |
tension = -0.3; | |
if(!v0 || !v1 || !v2 || !v3 || !mu) return new Vector(0,0); | |
var mu2 = mu * mu, | |
mu3 = mu2 *mu, | |
bbias = (1+bias), | |
cbias = (1-bias), | |
ten = (1-tension), | |
pb = bbias * ten / 2, | |
nb = cbias * ten / 2; | |
var m0x = (v1.x-v0.x) * pb, | |
m0y = (v1.y-v0.y) * pb; | |
m0x += (v2.x-v1.x) * nb; | |
m0y += (v2.y-v1.y) * nb; | |
var m1x = (v2.x-v1.x) * pb, | |
m1y = (v2.y-v1.y) * pb; | |
m1x += (v3.x-v2.x) * nb; | |
m1y += (v3.y-v2.y) * nb; | |
var a0 = 2*mu3 - 3*mu2 + 1, | |
a1 = mu3 - 2*mu2 + mu, | |
a2 = mu3 - mu2, | |
a3 = -2*mu3 + 3*mu2, | |
rx = a0*v1.x + a1*m0x + a2*m1x + a3*v2.x, | |
ry = a0*v1.y + a1*m0y + a2*m1y + a3*v2.y; | |
return new Vector(rx,ry); | |
} | |
}; | |
Interpolator.Cubic = { | |
samples : 4, | |
func : function(d,mu) { | |
var v0 = d[0], | |
v1 = d[1], | |
v2 = d[2], | |
v3 = d[3]; | |
if(!v0 || !v1 || !v2 || !v3 || !mu) return new Vector(0,0); | |
var mu2 = mu*mu, | |
a0x = v3.x - v2.x - v0.x + v1.x, | |
a0y = v3.y - v2.y - v0.y + v1.y, | |
a1x = v0.x - v1.x - a0x, | |
a1y = v0.y - v1.y - a0y, | |
a2x = v2.x - v0.x, | |
a2y = v2.y - v0.y, | |
a3x = v1.x, | |
a3y = v1.y, | |
rx = a0x * mu * mu2 + a1x * mu2 + a2x * mu + a3x, | |
ry = a0y * mu * mu2 + a1y * mu2 + a2y * mu + a3y; | |
return new Vector(rx,ry); | |
} | |
}; |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment