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function vec3(a,b,c){
this.a = a
this.b = b
this.c = c
}
vec3.prototype.add = function(v){
this.a += v.a
this.b += v.b
this.c += v.c
return this
}
vec3.prototype.sub = function(v){
this.a -= v.a
this.b -= v.b
this.c -= v.c
return this
}
// input: mat4 projection matrix
vec3.prototype.apply_projection = function (m) {
var x = this.a, y = this.b, z = this.c;
var e = m.elements;
var d = 1 / ( e[3] * x + e[7] * y + e[11] * z + e[15] ); // perspective divide
this.x = ( e[0] * x + e[4] * y + e[8] * z + e[12] ) * d;
this.y = ( e[1] * x + e[5] * y + e[9] * z + e[13] ) * d;
this.z = ( e[2] * x + e[6] * y + e[10] * z + e[14] ) * d;
return this;
}
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