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<pre class="prettyprint source"><code>if (typeof(define) !== "function") {
var define = require("amdefine")(module);
}
define([
"odin/math/mathf"
],
function(Mathf) {
"use strict";
var cos = Math.cos,
sin = Math.sin;
/**
* @class Mat3
* 3x3 matrix
* @param Number m11
* @param Number m12
* @param Number m13
* @param Number m21
* @param Number m22
* @param Number m23
* @param Number m31
* @param Number m32
* @param Number m33
*/
function Mat3(m11, m12, m13, m21, m22, m23, m31, m32, m33) {
var te = new Float32Array(9);
/**
* @property Float32Array elements
* @memberof Odin.Mat3
*/
this.elements = te;
te[0] = m11 !== undefined ? m11 : 1;
te[3] = m12 || 0;
te[6] = m13 || 0;
te[1] = m21 || 0;
te[4] = m22 !== undefined ? m22 : 1;
te[7] = m23 || 0;
te[2] = m31 || 0;
te[5] = m32 || 0;
te[8] = m33 !== undefined ? m33 : 1;
}
Mathf._classes["Mat3"] = Mat3;
/**
* @method clone
* @memberof Odin.Mat3
* returns new instance of this
* @return Mat3
*/
Mat3.prototype.clone = function() {
var te = this.elements;
return new Mat3(
te[0], te[3], te[6],
te[1], te[4], te[7],
te[2], te[5], te[8]
);
};
/**
* @method copy
* @memberof Odin.Mat3
* copies other
* @param Mat3 other
* @return this
*/
Mat3.prototype.copy = function(other) {
var te = this.elements,
me = other.elements;
te[0] = me[0];
te[1] = me[1];
te[2] = me[2];
te[3] = me[3];
te[4] = me[4];
te[5] = me[5];
te[6] = me[6];
te[7] = me[7];
te[8] = me[8];
return this;
};
/**
* @method set
* @memberof Odin.Mat3
* sets values of this
* @param Number m11
* @param Number m12
* @param Number m13
* @param Number m21
* @param Number m22
* @param Number m23
* @param Number m31
* @param Number m32
* @param Number m33
* @return this
*/
Mat3.prototype.set = function(m11, m12, m13, m21, m22, m23, m31, m32, m33) {
var te = this.elements;
te[0] = m11;
te[3] = m12;
te[6] = m13;
te[1] = m21;
te[4] = m22;
te[7] = m23;
te[2] = m31;
te[5] = m32;
te[8] = m33;
return this;
};
/**
* @method mul
* @memberof Odin.Mat3
* muliples this's values by other's
* @param Mat3 other
* @return this
*/
Mat3.prototype.mul = function(other) {
var ae = this.elements,
be = other.elements,
a11 = ae[0],
a12 = ae[3],
a13 = ae[6],
a21 = ae[1],
a22 = ae[4],
a23 = ae[7],
a31 = ae[2],
a32 = ae[5],
a33 = ae[8],
b11 = be[0],
b12 = be[3],
b13 = be[6],
b21 = be[1],
b22 = be[4],
b23 = be[7],
b31 = be[2],
b32 = be[5],
b33 = be[8];
ae[0] = a11 * b11 + a21 * b12 + a31 * b13;
ae[3] = a12 * b11 + a22 * b12 + a32 * b13;
ae[6] = a13 * b11 + a23 * b12 + a33 * b13;
ae[1] = a11 * b21 + a21 * b22 + a31 * b23;
ae[4] = a12 * b21 + a22 * b22 + a32 * b23;
ae[7] = a13 * b21 + a23 * b22 + a33 * b23;
ae[2] = a11 * b31 + a21 * b32 + a31 * b33;
ae[5] = a12 * b31 + a22 * b32 + a32 * b33;
ae[8] = a13 * b31 + a23 * b32 + a33 * b33;
return this;
};
/**
* @method mmul
* @memberof Odin.Mat3
* muliples a and b saves it in this
* @param Mat3 a
* @param Mat3 b
* @return this
*/
Mat3.prototype.mmul = function(a, b) {
var te = this.elements,
ae = a.elements,
be = b.elements,
a11 = ae[0],
a12 = ae[3],
a13 = ae[6],
a21 = ae[1],
a22 = ae[4],
a23 = ae[7],
a31 = ae[2],
a32 = ae[5],
a33 = ae[8],
b11 = be[0],
b12 = be[3],
b13 = be[6],
b21 = be[1],
b22 = be[4],
b23 = be[7],
b31 = be[2],
b32 = be[5],
b33 = be[8];
te[0] = a11 * b11 + a21 * b12 + a31 * b13;
te[3] = a12 * b11 + a22 * b12 + a32 * b13;
te[6] = a13 * b11 + a23 * b12 + a33 * b13;
te[1] = a11 * b21 + a21 * b22 + a31 * b23;
te[4] = a12 * b21 + a22 * b22 + a32 * b23;
te[7] = a13 * b21 + a23 * b22 + a33 * b23;
te[2] = a11 * b31 + a21 * b32 + a31 * b33;
te[5] = a12 * b31 + a22 * b32 + a32 * b33;
te[8] = a13 * b31 + a23 * b32 + a33 * b33;
return this;
};
/**
* @method smul
* @memberof Odin.Mat3
* muliples this by a scalar value
* @param Number s
* @return this
*/
Mat3.prototype.smul = function(s) {
var te = this.elements;
te[0] *= s;
te[1] *= s;
te[2] *= s;
te[3] *= s;
te[4] *= s;
te[5] *= s;
te[6] *= s;
te[7] *= s;
te[8] *= s;
return this;
};
/**
* @method sdiv
* @memberof Odin.Mat3
* divides this by scalar value
* @param Number s
* @return this
*/
Mat3.prototype.sdiv = function(s) {
var te = this.elements;
s = s === 0 ? 0 : 1 / s;
te[0] *= s;
te[1] *= s;
te[2] *= s;
te[3] *= s;
te[4] *= s;
te[5] *= s;
te[6] *= s;
te[7] *= s;
te[8] *= s;
return this;
};
/**
* @method identity
* @memberof Odin.Mat3
* identity matrix
* @return this
*/
Mat3.prototype.identity = function() {
var te = this.elements;
te[0] = 1;
te[1] = 0;
te[2] = 0;
te[3] = 0;
te[4] = 1;
te[5] = 0;
te[6] = 0;
te[7] = 0;
te[8] = 1;
return this;
};
/**
* @method zero
* @memberof Odin.Mat3
* zero matrix
* @return this
*/
Mat3.prototype.zero = function() {
var te = this.elements;
te[0] = 0;
te[1] = 0;
te[2] = 0;
te[3] = 0;
te[4] = 0;
te[5] = 0;
te[6] = 0;
te[7] = 0;
te[8] = 0;
return this;
};
/**
* @method determinant
* @memberof Odin.Mat3
* returns the determinant of this
* @return this
*/
Mat3.prototype.determinant = function() {
var te = this.elements,
a = te[0],
b = te[1],
c = te[2],
d = te[3],
e = te[4],
f = te[5],
g = te[6],
h = te[7],
i = te[8];
return a * e * i - a * f * h - b * d * i + b * f * g + c * d * h - c * e * g;
};
/**
* @method inverse
* @memberof Odin.Mat3
* returns the inverse of this
* @return this
*/
Mat3.prototype.inverse = function() {
var te = this.elements,
m11 = te[0],
m12 = te[3],
m13 = te[6],
m21 = te[1],
m22 = te[4],
m23 = te[7],
m31 = te[2],
m32 = te[5],
m33 = te[8],
m0 = m22 * m33 - m23 * m32,
m3 = m13 * m32 - m12 * m33,
m6 = m12 * m23 - m13 * m22,
det = m11 * m0 + m21 * m3 + m31 * m6;
det = det !== 0 ? 1 / det : 1;
te[0] = m0 * det;
te[1] = (m23 * m31 - m21 * m33) * det;
te[2] = (m21 * m32 - m22 * m31) * det;
te[3] = m3 * det;
te[4] = (m11 * m33 - m13 * m31) * det;
te[5] = (m12 * m31 - m11 * m32) * det;
te[6] = m6 * det;
te[7] = (m13 * m21 - m11 * m23) * det;
te[8] = (m11 * m22 - m12 * m21) * det;
return this;
};
/**
* @method inverseMat
* @memberof Odin.Mat3
* returns the inverse of other
* @param Mat3 other
* @return this
*/
Mat3.prototype.inverseMat = function(other) {
var te = this.elements,
me = other.elements,
m11 = me[0],
m12 = me[3],
m13 = me[6],
m21 = me[1],
m22 = me[4],
m23 = me[7],
m31 = me[2],
m32 = me[5],
m33 = me[8],
m0 = m22 * m33 - m23 * m32,
m3 = m13 * m32 - m12 * m33,
m6 = m12 * m23 - m13 * m22,
det = m11 * m0 + m21 * m3 + m31 * m6;
det = det !== 0 ? 1 / det : 0;
te[0] = m0 * det;
te[1] = (m23 * m31 - m21 * m33) * det;
te[2] = (m21 * m32 - m22 * m31) * det;
te[3] = m3 * det;
te[4] = (m11 * m33 - m13 * m31) * det;
te[5] = (m12 * m31 - m11 * m32) * det;
te[6] = m6 * det;
te[7] = (m13 * m21 - m11 * m23) * det;
te[8] = (m11 * m22 - m12 * m21) * det;
return this;
};
/**
* @method inverseMat4
* @memberof Odin.Mat3
* returns the inverse of a Mat4
* @param Mat4 other
* @return this
*/
Mat3.prototype.inverseMat4 = function(other) {
var te = this.elements,
me = other.elements,
m11 = me[0],
m12 = me[4],
m13 = me[8],
m21 = me[1],
m22 = me[5],
m23 = me[9],
m31 = me[2],
m32 = me[6],
m33 = me[10],
m0 = m22 * m33 - m23 * m32,
m3 = m13 * m32 - m12 * m33,
m6 = m12 * m23 - m13 * m22,
det = m11 * m0 + m21 * m3 + m31 * m6;
det = det !== 0 ? 1 / det : 0;
te[0] = m0 * det;
te[1] = (m23 * m31 - m21 * m33) * det;
te[2] = (m21 * m32 - m22 * m31) * det;
te[3] = m3 * det;
te[4] = (m11 * m33 - m13 * m31) * det;
te[5] = (m12 * m31 - m11 * m32) * det;
te[6] = m6 * det;
te[7] = (m13 * m21 - m11 * m23) * det;
te[8] = (m11 * m22 - m12 * m21) * det;
return this;
};
/**
* @method transpose
* @memberof Odin.Mat3
* transposes this matrix
* @return this
*/
Mat3.prototype.transpose = function() {
var te = this.elements,
tmp;
tmp = te[1];
te[1] = te[3];
te[3] = tmp;
tmp = te[2];
te[2] = te[6];
te[6] = tmp;
tmp = te[5];
te[5] = te[7];
te[7] = tmp;
return this;
};
/**
* @method setTrace
* @memberof Odin.Mat3
* sets the diagonal of matrix
* @param Vec3 v
* @return this
*/
Mat3.prototype.setTrace = function(v) {
var te = this.elements;
te[0] = v.x;
te[4] = v.y;
te[8] = v.z;
return this;
};
/**
* @method scale
* @memberof Odin.Mat3
* scales this by vector
* @param Vec3 v
* @return this
*/
Mat3.prototype.scale = function(v) {
var te = this.elements,
x = v.x,
y = v.y,
z = v.z;
te[0] *= x;
te[3] *= y;
te[6] *= z;
te[1] *= x;
te[4] *= y;
te[7] *= z;
te[2] *= x;
te[5] *= y;
te[8] *= z;
return this;
};
/**
* @method makeScale
* @memberof Odin.Mat3
* makes this a scale matrix
* @param Number x
* @param Number y
* @param Number z
* @return this
*/
Mat3.prototype.makeScale = function(x, y, z) {
return this.set(
x, 0, 0,
0, y, 0,
0, 0, z
);
};
/**
* @method makeRotationX
* @memberof Odin.Mat3
* makes this a rotation matrix along x axis
* @param Number angle
* @return this
*/
Mat3.prototype.makeRotationX = function(angle) {
var c = cos(angle),
s = sin(angle);
return this.set(
1, 0, 0,
0, c, -s,
0, s, c
);
};
/**
* @method makeRotationY
* @memberof Odin.Mat3
* makes this a rotation matrix along y axis
* @param Number angle
* @return this
*/
Mat3.prototype.makeRotationY = function(angle) {
var c = cos(angle),
s = sin(angle);
return this.set(
c, 0, s,
0, 1, 0, -s, 0, c
);
};
/**
* @method makeRotationZ
* @memberof Odin.Mat3
* makes this a rotation matrix along z axis
* @param Number angle
* @return this
*/
Mat3.prototype.makeRotationZ = function(angle) {
var c = cos(angle),
s = sin(angle);
return this.set(
c, -s, 0,
s, c, 0,
0, 0, 1
);
};
/**
* @method fromMat2
* @memberof Odin.Mat3
* sets this from Mat2
* @param Mat2 m
* @return this
*/
Mat3.prototype.fromMat2 = function(m) {
var te = this.elements,
me = m.elements;
te[0] = me[0];
te[1] = me[1];
te[2] = 0;
te[3] = me[2];
te[4] = me[3];
te[5] = 0;
te[6] = 0;
te[7] = 0;
te[8] = 1;
return this;
};
/**
* @method fromMat4
* @memberof Odin.Mat3
* sets this from Mat4
* @param Mat2 m
* @return this
*/
Mat3.prototype.fromMat4 = function(m) {
var te = this.elements,
me = m.elements;
te[0] = me[0];
te[1] = me[1];
te[2] = me[2];
te[3] = me[4];
te[4] = me[5];
te[5] = me[6];
te[6] = me[8];
te[7] = me[9];
te[8] = me[10];
return this;
};
/**
* @method fromQuat
* @memberof Odin.Mat3
* sets rotation of this from quaterian
* @param Quat q
* @return this
*/
Mat3.prototype.fromQuat = function(q) {
var te = this.elements,
x = q.x,
y = q.y,
z = q.z,
w = q.w,
x2 = x + x,
y2 = y + y,
z2 = z + z,
xx = x * x2,
xy = x * y2,
xz = x * z2,
yy = y * y2,
yz = y * z2,
zz = z * z2,
wx = w * x2,
wy = w * y2,
wz = w * z2;
te[0] = 1 - (yy + zz);
te[1] = xy + wz;
te[2] = xz - wy;
te[3] = xy - wz;
te[4] = 1 - (xx + zz);
te[5] = yz + wx;
te[6] = xz + wy;
te[7] = yz - wx;
te[8] = 1 - (xx + yy);
return this;
};
/**
* @memberof Odin.Mat3
* @param Odin.Mat3 other
* @return this
*/
Mat3.prototype.equals = function(other) {
var ae = this.elements,
be = other.elements;
return !(
ae[0] !== be[0] ||
ae[1] !== be[1] ||
ae[2] !== be[2] ||
ae[3] !== be[3] ||
ae[4] !== be[4] ||
ae[5] !== be[5] ||
ae[6] !== be[6] ||
ae[7] !== be[7] ||
ae[8] !== be[8]
);
};
/**
* @method fromJSON
* @memberof Odin.Mat3
* sets values from JSON object
* @param Object json
* @return this
*/
Mat3.prototype.fromJSON = function(json) {
var te = this.elements,
me = json.elements;
te[0] = me[0];
te[1] = me[1];
te[2] = me[2];
te[3] = me[3];
te[4] = me[4];
te[5] = me[5];
te[6] = me[6];
te[7] = me[7];
te[8] = me[8];
return this;
};
/**
* @method toJSON
* @memberof Odin.Mat3
* returns json object of this
* @param Array array
* @return Object
*/
Mat3.prototype.toJSON = function(json) {
json || (json = {});
var te = this.elements,
je = json.elements || (json.elements = []);
json._className = "Mat3";
je[0] = te[0];
je[1] = te[1];
je[2] = te[2];
je[3] = te[3];
je[4] = te[4];
je[5] = te[5];
je[6] = te[6];
je[7] = te[7];
je[8] = te[8];
return json;
};
/**
* @method toString
* @memberof Odin.Mat3
* returns string of this
* @return String
*/
Mat3.prototype.toString = function() {
var te = this.elements;
return (
"Mat3[" + te[0] + ", " + te[3] + ", " + te[6] + "]\n" +
" [" + te[1] + ", " + te[4] + ", " + te[7] + "]\n" +
" [" + te[2] + ", " + te[5] + ", " + te[8] + "]"
);
};
return Mat3;
}
);
</code></pre>
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