m3 = {
function projection(width, height) {
return [
2 / width, 0, 0,
0, -2 / height, 0,
-1, 1, 1,
];
}
function translation(tx, ty) {
return [
1, 0, 0,
0, 1, 0,
tx, ty, 1,
];
}
function rotation(angleInRadians) {
var c = Math.cos(angleInRadians);
var s = Math.sin(angleInRadians);
return [
c, -s, 0,
s, c, 0,
0, 0, 1,
];
}
function scaling(sx, sy) {
return [
sx, 0, 0,
0, sy, 0,
0, 0, 1,
];
}
function multiply(a, b) {
var a00 = a[0 * 3 + 0];
var a01 = a[0 * 3 + 1];
var a02 = a[0 * 3 + 2];
var a10 = a[1 * 3 + 0];
var a11 = a[1 * 3 + 1];
var a12 = a[1 * 3 + 2];
var a20 = a[2 * 3 + 0];
var a21 = a[2 * 3 + 1];
var a22 = a[2 * 3 + 2];
var b00 = b[0 * 3 + 0];
var b01 = b[0 * 3 + 1];
var b02 = b[0 * 3 + 2];
var b10 = b[1 * 3 + 0];
var b11 = b[1 * 3 + 1];
var b12 = b[1 * 3 + 2];
var b20 = b[2 * 3 + 0];
var b21 = b[2 * 3 + 1];
var b22 = b[2 * 3 + 2];
return [
b00 * a00 + b01 * a10 + b02 * a20,
b00 * a01 + b01 * a11 + b02 * a21,
b00 * a02 + b01 * a12 + b02 * a22,
b10 * a00 + b11 * a10 + b12 * a20,
b10 * a01 + b11 * a11 + b12 * a21,
b10 * a02 + b11 * a12 + b12 * a22,
b20 * a00 + b21 * a10 + b22 * a20,
b20 * a01 + b21 * a11 + b22 * a21,
b20 * a02 + b21 * a12 + b22 * a22,
];
}
function translate(m, tx, ty) {
return multiply(m, translation(tx, ty));
}
function rotate(m, angleInRadians) {
return multiply(m, rotation(angleInRadians));
}
function scale(m, sx, sy) {
return multiply(m, scaling(sx, sy));
}
return {
projection,
translation,
rotation,
scaling,
multiply,
translate,
rotate,
scale
}
}