player/js/3rd_party/transformation-matrix.js

/*!
 Transformation Matrix v2.0
 (c) Epistemex 2014-2015
 www.epistemex.com
 By Ken Fyrstenberg
 Contributions by leeoniya.
 License: MIT, header required.
 */

/**
 * 2D transformation matrix object initialized with identity matrix.
 *
 * The matrix can synchronize a canvas context by supplying the context
 * as an argument, or later apply current absolute transform to an
 * existing context.
 *
 * All values are handled as floating point values.
 *
 * @param {CanvasRenderingContext2D} [context] - Optional context to sync with Matrix
 * @prop {number} a - scale x
 * @prop {number} b - shear y
 * @prop {number} c - shear x
 * @prop {number} d - scale y
 * @prop {number} e - translate x
 * @prop {number} f - translate y
 * @prop {CanvasRenderingContext2D|null} [context=null] - set or get current canvas context
 * @constructor
 */

var Matrix = (function(){

    function reset(){
        this.props[0] = 1;
        this.props[1] = 0;
        this.props[2] = 0;
        this.props[3] = 0;
        this.props[4] = 0;
        this.props[5] = 1;
        this.props[6] = 0;
        this.props[7] = 0;
        this.props[8] = 0;
        this.props[9] = 0;
        this.props[10] = 1;
        this.props[11] = 0;
        this.props[12] = 0;
        this.props[13] = 0;
        this.props[14] = 0;
        this.props[15] = 1;
        return this;
    }

    function rotate(angle) {
        if(angle === 0){
            return this;
        }
        var mCos = Math.cos(angle);
        var mSin = Math.sin(angle);
        return this._t(mCos, -mSin,  0, 0
            , mSin,  mCos, 0, 0
            , 0,  0,  1, 0
            , 0, 0, 0, 1);
    }

    function rotateX(angle){
        if(angle === 0){
            return this;
        }
        var mCos = Math.cos(angle);
        var mSin = Math.sin(angle);
        return this._t(1, 0, 0, 0
            , 0, mCos, -mSin, 0
            , 0, mSin,  mCos, 0
            , 0, 0, 0, 1);
    }

    function rotateY(angle){
        if(angle === 0){
            return this;
        }
        var mCos = Math.cos(angle);
        var mSin = Math.sin(angle);
        return this._t(mCos,  0,  mSin, 0
            , 0, 1, 0, 0
            , -mSin,  0,  mCos, 0
            , 0, 0, 0, 1);
    }

    function rotateZ(angle){
        if(angle === 0){
            return this;
        }
        var mCos = Math.cos(angle);
        var mSin = Math.sin(angle);
        return this._t(mCos, -mSin,  0, 0
            , mSin,  mCos, 0, 0
            , 0,  0,  1, 0
            , 0, 0, 0, 1);
    }

    function shear(sx,sy){
        return this._t(1, sy, sx, 1, 0, 0);
    }

    function skew(ax, ay){
        return this.shear(Math.tan(ax), Math.tan(ay));
    }

    function skewFromAxis(ax, angle){
        var mCos = Math.cos(angle);
        var mSin = Math.sin(angle);
        return this._t(mCos, mSin,  0, 0
            , -mSin,  mCos, 0, 0
            , 0,  0,  1, 0
            , 0, 0, 0, 1)
            ._t(1, 0,  0, 0
            , Math.tan(ax),  1, 0, 0
            , 0,  0,  1, 0
            , 0, 0, 0, 1)
            ._t(mCos, -mSin,  0, 0
            , mSin,  mCos, 0, 0
            , 0,  0,  1, 0
            , 0, 0, 0, 1);
        //return this._t(mCos, mSin, -mSin, mCos, 0, 0)._t(1, 0, Math.tan(ax), 1, 0, 0)._t(mCos, -mSin, mSin, mCos, 0, 0);
    }

    function scale(sx, sy, sz) {
        sz = isNaN(sz) ? 1 : sz;
        if(sx == 1 && sy == 1 && sz == 1){
            return this;
        }
        return this._t(sx, 0, 0, 0, 0, sy, 0, 0, 0, 0, sz, 0, 0, 0, 0, 1);
    }

    function setTransform(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) {
        this.props[0] = a;
        this.props[1] = b;
        this.props[2] = c;
        this.props[3] = d;
        this.props[4] = e;
        this.props[5] = f;
        this.props[6] = g;
        this.props[7] = h;
        this.props[8] = i;
        this.props[9] = j;
        this.props[10] = k;
        this.props[11] = l;
        this.props[12] = m;
        this.props[13] = n;
        this.props[14] = o;
        this.props[15] = p;
        return this;
    }

    function translate(tx, ty, tz) {
        tz = tz || 0;
        if(tx !== 0 || ty !== 0 || tz !== 0){
            return this._t(1,0,0,0,0,1,0,0,0,0,1,0,tx,ty,tz,1);
        }
        return this;
    }

    function transform(a2, b2, c2, d2, e2, f2, g2, h2, i2, j2, k2, l2, m2, n2, o2, p2) {

        if(a2 === 1 && b2 === 0 && c2 === 0 && d2 === 0 && e2 === 0 && f2 === 1 && g2 === 0 && h2 === 0 && i2 === 0 && j2 === 0 && k2 === 1 && l2 === 0){
            if(m2 !== 0 || n2 !== 0 || o2 !== 0){

                this.props[12] = this.props[12] * a2 + this.props[13] * e2 + this.props[14] * i2 + this.props[15] * m2 ;
                this.props[13] = this.props[12] * b2 + this.props[13] * f2 + this.props[14] * j2 + this.props[15] * n2 ;
                this.props[14] = this.props[12] * c2 + this.props[13] * g2 + this.props[14] * k2 + this.props[15] * o2 ;
                this.props[15] = this.props[12] * d2 + this.props[13] * h2 + this.props[14] * l2 + this.props[15] * p2 ;
            }
            return this;
        }

        var a1 = this.props[0];
        var b1 = this.props[1];
        var c1 = this.props[2];
        var d1 = this.props[3];
        var e1 = this.props[4];
        var f1 = this.props[5];
        var g1 = this.props[6];
        var h1 = this.props[7];
        var i1 = this.props[8];
        var j1 = this.props[9];
        var k1 = this.props[10];
        var l1 = this.props[11];
        var m1 = this.props[12];
        var n1 = this.props[13];
        var o1 = this.props[14];
        var p1 = this.props[15];

        /* matrix order (canvas compatible):
         * ace
         * bdf
         * 001
         */
        this.props[0] = a1 * a2 + b1 * e2 + c1 * i2 + d1 * m2;
        this.props[1] = a1 * b2 + b1 * f2 + c1 * j2 + d1 * n2 ;
        this.props[2] = a1 * c2 + b1 * g2 + c1 * k2 + d1 * o2 ;
        this.props[3] = a1 * d2 + b1 * h2 + c1 * l2 + d1 * p2 ;

        this.props[4] = e1 * a2 + f1 * e2 + g1 * i2 + h1 * m2 ;
        this.props[5] = e1 * b2 + f1 * f2 + g1 * j2 + h1 * n2 ;
        this.props[6] = e1 * c2 + f1 * g2 + g1 * k2 + h1 * o2 ;
        this.props[7] = e1 * d2 + f1 * h2 + g1 * l2 + h1 * p2 ;

        this.props[8] = i1 * a2 + j1 * e2 + k1 * i2 + l1 * m2 ;
        this.props[9] = i1 * b2 + j1 * f2 + k1 * j2 + l1 * n2 ;
        this.props[10] = i1 * c2 + j1 * g2 + k1 * k2 + l1 * o2 ;
        this.props[11] = i1 * d2 + j1 * h2 + k1 * l2 + l1 * p2 ;

        this.props[12] = m1 * a2 + n1 * e2 + o1 * i2 + p1 * m2 ;
        this.props[13] = m1 * b2 + n1 * f2 + o1 * j2 + p1 * n2 ;
        this.props[14] = m1 * c2 + n1 * g2 + o1 * k2 + p1 * o2 ;
        this.props[15] = m1 * d2 + n1 * h2 + o1 * l2 + p1 * p2 ;

        return this;
    }

    function clone(matr){
        var i;
        for(i=0;i<16;i+=1){
            matr.props[i] = this.props[i];
        }
    }

    function cloneFromProps(props){
        var i;
        for(i=0;i<16;i+=1){
            this.props[i] = props[i];
        }
    }

    function applyToPoint(x, y, z) {

        return {
            x: x * this.props[0] + y * this.props[4] + z * this.props[8] + this.props[12],
            y: x * this.props[1] + y * this.props[5] + z * this.props[9] + this.props[13],
            z: x * this.props[2] + y * this.props[6] + z * this.props[10] + this.props[14]
        };
        /*return {
         x: x * me.a + y * me.c + me.e,
         y: x * me.b + y * me.d + me.f
         };*/
    }
    function applyToX(x, y, z) {
        return x * this.props[0] + y * this.props[4] + z * this.props[8] + this.props[12];
    }
    function applyToY(x, y, z) {
        return x * this.props[1] + y * this.props[5] + z * this.props[9] + this.props[13];
    }
    function applyToZ(x, y, z) {
        return x * this.props[2] + y * this.props[6] + z * this.props[10] + this.props[14];
    }

    function inversePoints(pts){
        //var determinant = this.a * this.d - this.b * this.c;
        var determinant = this.props[0] * this.props[5] - this.props[1] * this.props[4];
        var a = this.props[5]/determinant;
        var b = - this.props[1]/determinant;
        var c = - this.props[4]/determinant;
        var d = this.props[0]/determinant;
        var e = (this.props[4] * this.props[13] - this.props[5] * this.props[12])/determinant;
        var f = - (this.props[0] * this.props[13] - this.props[1] * this.props[12])/determinant;
        var i, len = pts.length, retPts = [];
        for(i=0;i<len;i+=1){
            retPts[i] = [pts[i][0] * a + pts[i][1] * c + e, pts[i][0] * b + pts[i][1] * d + f, 0]
        }
        return retPts;
    }

    function applyToPointArray(x,y,z,dimensions){
        if(dimensions && dimensions === 2) {
            var arr = point_pool.newPoint();
            arr[0] = x * this.props[0] + y * this.props[4] + z * this.props[8] + this.props[12]; 
            arr[1] = x * this.props[1] + y * this.props[5] + z * this.props[9] + this.props[13]; 
            return arr;    
        }
        return [x * this.props[0] + y * this.props[4] + z * this.props[8] + this.props[12],x * this.props[1] + y * this.props[5] + z * this.props[9] + this.props[13],x * this.props[2] + y * this.props[6] + z * this.props[10] + this.props[14]];
    }
    function applyToPointStringified(x, y) {
        return (bm_rnd(x * this.props[0] + y * this.props[4] + this.props[12]))+','+(bm_rnd(x * this.props[1] + y * this.props[5] + this.props[13]));
    }

    function toArray() {
        return [this.props[0],this.props[1],this.props[2],this.props[3],this.props[4],this.props[5],this.props[6],this.props[7],this.props[8],this.props[9],this.props[10],this.props[11],this.props[12],this.props[13],this.props[14],this.props[15]];
    }

    function toCSS() {
        if(isSafari){
            return "matrix3d(" + roundTo2Decimals(this.props[0]) + ',' + roundTo2Decimals(this.props[1]) + ',' + roundTo2Decimals(this.props[2]) + ',' + roundTo2Decimals(this.props[3]) + ',' + roundTo2Decimals(this.props[4]) + ',' + roundTo2Decimals(this.props[5]) + ',' + roundTo2Decimals(this.props[6]) + ',' + roundTo2Decimals(this.props[7]) + ',' + roundTo2Decimals(this.props[8]) + ',' + roundTo2Decimals(this.props[9]) + ',' + roundTo2Decimals(this.props[10]) + ',' + roundTo2Decimals(this.props[11]) + ',' + roundTo2Decimals(this.props[12]) + ',' + roundTo2Decimals(this.props[13]) + ',' + roundTo2Decimals(this.props[14]) + ',' + roundTo2Decimals(this.props[15]) + ')';
        } else {
            this.cssParts[1] = this.props.join(',');
            return this.cssParts.join('');
        }
    }

    function to2dCSS() {
        return "matrix(" + this.props[0] + ',' + this.props[1] + ',' + this.props[4] + ',' + this.props[5] + ',' + this.props[12] + ',' + this.props[13] + ")";
    }

    function toString() {
        return "" + this.toArray();
    }

    return function(){
        this.reset = reset;
        this.rotate = rotate;
        this.rotateX = rotateX;
        this.rotateY = rotateY;
        this.rotateZ = rotateZ;
        this.skew = skew;
        this.skewFromAxis = skewFromAxis;
        this.shear = shear;
        this.scale = scale;
        this.setTransform = setTransform;
        this.translate = translate;
        this.transform = transform;
        this.applyToPoint = applyToPoint;
        this.applyToX = applyToX;
        this.applyToY = applyToY;
        this.applyToZ = applyToZ;
        this.applyToPointArray = applyToPointArray;
        this.applyToPointStringified = applyToPointStringified;
        this.toArray = toArray;
        this.toCSS = toCSS;
        this.to2dCSS = to2dCSS;
        this.toString = toString;
        this.clone = clone;
        this.cloneFromProps = cloneFromProps;
        this.inversePoints = inversePoints;
        this._t = this.transform;

        this.props = [1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1];

        this.cssParts = ['matrix3d(','',')'];
    }
}());

function Matrix() {


}