[flashmaestro] Clase "3D Matrix" (Prototype)

[mhiguera]

Buenos d�as co-listeros:
Os env�o una clase que he hecho para el control de espacios vectoriales 
que os puede ser de utilidad.

Si ten�is alg�n comentario o sugerencia por favor contadtad conmigo 
(off-list si fuera necesario).

Muchas gracias.

M.

PD.- Esto es un sistema de matem�tica aplicada. _NO_ es un engine 3D 
tradicional (los que suelen verse por ah�) sino un sistema de 
transformaciones para vectores dentro de un espacio vectorial.

// -------------------
// 3D Matrix Class
// -------------------
// Description: 3D Oriented Matrix Class
// Author: Manuel de la Higuera ([EMAIL PROTECTED])
// Date: 19th October 2001
// Flash Version: 5+

// Matrix3D constructor
// ------------------
function matrix3D () {
    this.element = new Array();
    this.createBase();
    this.vCount = 0;
}

// Base creation
// -------------
matrix3D.prototype.createBase = function() {
    this.base = new Array();
    this.base[1] = new Array(1,0,0);
    this.base[2] = new Array(0,1,0);
    this.base[3] = new Array(0,0,1);
}
// Adding a vector
// ---------------
matrix3D.prototype.addVector = function (x,y,z) {
    this.vCount++;
    this.element[this.vCount] = new Array();
    this.element[this.vCount][1] = x;
    this.element[this.vCount][2] = y;
    this.element[this.vCount][3] = z;
}
// Deleting a vector
// ---------------
matrix3D.prototype.delVector = function (index,count) {
    if (!count) count = 1;
    this.element.splice(index, count);
    this.vCount -= count;
}
// Getting an element's value
// --------------------------
matrix3D.prototype.get = function(row, column) {
    return (this.element[row][column]);
}
// Setting an element's value
// --------------------------
matrix3D.prototype.set = function(row, column, arg) {
    this.element[row][column] = arg;
}

// Rotation around the X axis
// --------------------------
// It multiplicates each vector (dot multiplication) by the 
transformation matrix:
// 
// 1      0      0
// 0    cos �  -sin �
// 0    sin �   cos �
// 
// So, it will result the matrix transformed by:
// 
// x' = x
// y' = (cos �) * y - (sin �) * z
// z' = (sin �) * y + (cos �) * z
// 
matrix3D.prototype.Xrotation = function(beta) {
    for (var iVector = 1; iVector <= this.vCount; iVector++) {
        this.element[iVector][2] = ((Math.cos(beta))*this.element
[iVector][2])-((Math.sin(beta))*this.element[iVector][3]);
        this.element[iVector][3] = ((Math.sin(beta))*this.element
[iVector][2])+((Math.cos(beta))*this.element[iVector][3]);
    }
} 
// Rotation around the Y axis
// --------------------------
// Transformation Matrix:
// 
// cos �   0    sin �
//   0     1     0   
// -sin �  0    cos �
//
matrix3D.prototype.Yrotation = function(beta) {
    for (var iVector = 1; iVector <= this.vCount; iVector++) {
        this.element[iVector][1] = ((Math.cos(beta))*this.element
[iVector][1])+((Math.sin(beta))*this.element[iVector][3]);
        this.element[iVector][3] = (-(Math.sin(beta))*this.element
[iVector][1])+((Math.cos(beta))*this.element[iVector][3]);
    }
}
// Rotation around the Z axis
// --------------------------
// Transformation Matrix:
// 
// cos �   -sin �   0
// sin �    cos �   0
//   0       0      1
//
matrix3D.prototype.Zrotation = function(beta) {
    for (var iVector = 1; iVector <= this.vCount; iVector++) {
        this.element[iVector][1] = ((Math.cos(beta))*this.element
[iVector][1])-((Math.sin(beta))*this.element[iVector][2]);
        this.element[iVector][2] = ((Math.sin(beta))*this.element
[iVector][1])+((Math.cos(beta))*this.element[iVector][2]);
    }
}
// Base Translation
// ----------------
matrix3D.prototype.translate = function(x,y,z) {
    this.base[1] = new Array(x,0,0);
    this.base[2] = new Array(0,y,0);
    this.base[3] = new Array(0,0,z);
}