matrix.min.js

/*
	2D Transformation Matrix v2.7.1
	(c) Epistemex.com 2014-2017
	License: MIT, header required.
*/
function Matrix(b,c){var d=this,a;d._t=d.transform;d.a=d.d=1;d.b=d.c=d.e=d.f=0;if(b){(d.context=b).setTransform(1,0,0,1,0,0)}Object.defineProperty(d,"element",{get:function(){return a},set:function(e){if(!a){d._px=d._getPX();d.useCSS3D=!1}a=e;(d._st=a.style)[d._px]=d.toCSS()}});if(c){d.element=c}}Matrix.fromTriangles=function(j,k,a){var b=new Matrix(),c=new Matrix(a),d,e,f,h,g,i;if(Array.isArray(j)){if(typeof j[0]==="number"){f=j[4];h=j[5];g=k[4];i=k[5];d=[j[0]-f,j[1]-h,j[2]-f,j[3]-h,f,h];e=[k[0]-g,k[1]-i,k[2]-g,k[3]-i,g,i]}else{f=j[2].x;h=j[2].y;g=k[2].x;i=k[2].y;d=[j[0].x-f,j[0].y-h,j[1].x-f,j[1].y-h,f,h];e=[k[0].x-g,k[0].y-i,k[1].x-g,k[1].y-i,g,i]}}else{d=[j.px-j.rx,j.py-j.ry,j.qx-j.rx,j.qy-j.ry,j.rx,j.ry];e=[k.px-k.rx,k.py-k.ry,k.qx-k.rx,k.qy-k.ry,k.rx,k.ry]}b.setTransform.apply(b,d);c.setTransform.apply(c,e);return c.multiply(b.inverse())};Matrix.fromSVGTransformList=function(e,a,b){var d=new Matrix(a,b),c=0;while(c<e.length){d.multiply(e[c++].matrix)}return d};Matrix.from=function(g,h,i,k,o,p,j,n){var r=new Matrix(j,n),t,l,s;if(typeof g==="number"){r.setTransform(g,h,i,k,o,p)}else{if(typeof g.x==="number"){s=Math.sqrt(g.x*g.x+g.y*g.y);t=l=1;if(k){t=s}else{l=s}r.translate(h||0,i||0).rotateFromVector(g).scaleU(t).translate(l,0)}else{if(typeof g.is2D==="boolean"&&!g.is2D){throw"Cannot use 3D DOMMatrix."}if(h){r.context=h}if(i){r.element=i}r.multiply(g)}}return r};Matrix.prototype={_getPX:function(){var b=["t","oT","msT","mozT","webkitT","khtmlT"],a=0,c,d=document.createElement("div").style;while(c=b[a++]){if(typeof d[c+"ransform"]!=="undefined"){return c+"ransform"}}},concat:function(a){return this.clone().multiply(a)},flipX:function(){return this._t(-1,0,0,1,0,0)},flipY:function(){return this._t(1,0,0,-1,0,0)},reflectVector:function(c,e){var b=this.applyToPoint(0,1),a=(b.x*c+b.y*e)*2;c-=a*b.x;e-=a*b.y;return{x:c,y:e}},reset:function(){return this.setTransform(1,0,0,1,0,0)},rotate:function(a){var b=Math.cos(a),c=Math.sin(a);return this._t(b,c,-c,b,0,0)},rotateFromVector:function(a,b){return this.rotate(typeof a==="number"?Math.atan2(b,a):Math.atan2(a.y,a.x))},rotateDeg:function(a){return this.rotate(a*Math.PI/180)},scaleU:function(a){return this._t(a,0,0,a,0,0)},scale:function(a,b){return this._t(a,0,0,b,0,0)},scaleX:function(a){return this._t(a,0,0,1,0,0)},scaleY:function(a){return this._t(1,0,0,a,0,0)},scaleFromVector:function(a,b){return this.scaleU(Math.sqrt(a*a+b*b))},shear:function(a,b){return this._t(1,b,a,1,0,0)},shearX:function(a){return this._t(1,0,a,1,0,0)},shearY:function(a){return this._t(1,a,0,1,0,0)},skew:function(a,b){return this.shear(Math.tan(a),Math.tan(b))},skewDeg:function(a,b){return this.shear(Math.tan(a/180*Math.PI),Math.tan(b/180*Math.PI))},skewX:function(a){return this.shearX(Math.tan(a))},skewY:function(a){return this.shearY(Math.tan(a))},setTransform:function(g,h,i,j,k,l){var m=this;m.a=g;m.b=h;m.c=i;m.d=j;m.e=k;m.f=l;return m._x()},translate:function(a,b){return this._t(1,0,0,1,a,b)},translateX:function(a){return this._t(1,0,0,1,a,0)},translateY:function(a){return this._t(1,0,0,1,0,a)},transform:function(b,d,f,h,j,l){var m=this,a=m.a,c=m.b,e=m.c,g=m.d,i=m.e,k=m.f;m.a=a*b+e*d;m.b=c*b+g*d;m.c=a*f+e*h;m.d=c*f+g*h;m.e=a*j+e*l+i;m.f=c*j+g*l+k;return m._x()},multiply:function(a){return this._t(a.a,a.b,a.c,a.d,a.e,a.f)},divide:function(a){return this.multiply(a.inverse())},divideScalar:function(a){var b=this;if(!a){throw"Division on zero"}b.a/=a;b.b/=a;b.c/=a;b.d/=a;b.e/=a;b.f/=a;return b._x()},inverse:function(a,b){var e=this,d=new Matrix(a?e.context:null,b?e.element:null),c=e.determinant();if(e._q(c,0)){throw"Matrix not invertible."}d.a=e.d/c;d.b=-e.b/c;d.c=-e.c/c;d.d=e.a/c;d.e=(e.c*e.f-e.d*e.e)/c;d.f=-(e.a*e.f-e.b*e.e)/c;return d},interpolate:function(d,f,a,b){var e=this,c=new Matrix(a,b);c.a=e.a+(d.a-e.a)*f;c.b=e.b+(d.b-e.b)*f;c.c=e.c+(d.c-e.c)*f;c.d=e.d+(d.d-e.d)*f;c.e=e.e+(d.e-e.e)*f;c.f=e.f+(d.f-e.f)*f;return c._x()},interpolateAnim:function(f,h,a,d){var e=new Matrix(a,d),b=this.decompose(),c=f.decompose(),i=b.translate,j=c.translate,g=b.scale;e.translate(i.x+(j.x-i.x)*h,i.y+(j.y-i.y)*h);e.rotate(b.rotation+(c.rotation-b.rotation)*h);e.scale(g.x+(c.scale.x-g.x)*h,g.y+(c.scale.y-g.y)*h);return e._x()},decompose:function(w){var l=this,e=l.a,h=l.b,i=l.c,j=l.d,f=Math.acos,g=Math.atan,u=Math.sqrt,m=Math.PI,v={x:l.e,y:l.f},o=0,q={x:1,y:1},t={x:0,y:0},k=e*j-h*i;if(w){if(e){t={x:g(i/e),y:g(h/e)};q={x:e,y:k/e}}else{if(h){o=m*0.5;q={x:h,y:k/h};t.x=g(j/h)}else{q={x:i,y:j};t.x=m*0.25}}}else{if(e||h){var n=u(e*e+h*h);o=h>0?f(e/n):-f(e/n);q={x:n,y:k/n};t.x=g((e*i+h*j)/(n*n))}else{if(i||j){var p=u(i*i+j*j);o=m*0.5-(j>0?f(-i/p):-f(i/p));q={x:k/p,y:p};t.y=g((e*i+h*j)/(p*p))}else{q={x:0,y:0}}}}return{translate:v,rotation:o,scale:q,skew:t}},determinant:function(){return this.a*this.d-this.b*this.c},applyToPoint:function(b,c){var a=this;return{x:b*a.a+c*a.c+a.e,y:b*a.b+c*a.d+a.f}},applyToArray:function(e){var a=0,d,b,c=[];if(typeof e[0]==="number"){b=e.length;while(a<b){d=this.applyToPoint(e[a++],e[a++]);c.push(d.x,d.y)}}else{while(d=e[a++]){c.push(this.applyToPoint(d.x,d.y))}}return c},applyToTypedArray:function(e,f){var a=0,d,b=e.length,c=f?new Float64Array(b):new Float32Array(b);while(a<b){d=this.applyToPoint(e[a],e[a+1]);c[a++]=d.x;c[a++]=d.y}return c},applyToContext:function(a){var b=this;a.setTransform(b.a,b.b,b.c,b.d,b.e,b.f);return b},applyToElement:function(a,c){var b=this;if(!b._px){b._px=b._getPX()}a.style[b._px]=c?b.toCSS3D():b.toCSS();return b},applyToObject:function(b){var a=this;b.a=a.a;b.b=a.b;b.c=a.c;b.d=a.d;b.e=a.e;b.f=a.f;return a},isIdentity:function(){var a=this;return a._q(a.a,1)&&a._q(a.b,0)&&a._q(a.c,0)&&a._q(a.d,1)&&a._q(a.e,0)&&a._q(a.f,0)},isInvertible:function(){return !this._q(this.determinant(),0)},isValid:function(){return !(this.a*this.d)},isEqual:function(a){var b=this,c=b._q;return c(b.a,a.a)&&c(b.b,a.b)&&c(b.c,a.c)&&c(b.d,a.d)&&c(b.e,a.e)&&c(b.f,a.f)},clone:function(a){return new Matrix(a?null:this.context).multiply(this)},toArray:function(){var a=this;return[a.a,a.b,a.c,a.d,a.e,a.f]},toTypedArray:function(d){var b=d?new Float64Array(6):new Float32Array(6),c=this;b[0]=c.a;b[1]=c.b;b[2]=c.c;b[3]=c.d;b[4]=c.e;b[5]=c.f;return b},toCSS:function(){return"matrix("+this.toArray()+")"},toCSS3D:function(){var a=this;return"matrix3d("+a.a+","+a.b+",0,0,"+a.c+","+a.d+",0,0,0,0,1,0,"+a.e+","+a.f+",0,1)"},toJSON:function(){var a=this;return'{"a":'+a.a+',"b":'+a.b+',"c":'+a.c+',"d":'+a.d+',"e":'+a.e+',"f":'+a.f+"}"},toString:function(a){var b=this;a=a||4;return"a="+b.a.toFixed(a)+" b="+b.b.toFixed(a)+" c="+b.c.toFixed(a)+" d="+b.d.toFixed(a)+" e="+b.e.toFixed(a)+" f="+b.f.toFixed(a)},toCSV:function(){return this.toArray().join()+"\r\n"},toDOMMatrix:function(){var a=null;if("DOMMatrix" in window){a=new DOMMatrix();a.a=this.a;a.b=this.b;a.c=this.c;a.d=this.d;a.e=this.e;a.f=this.f}return a},toSVGMatrix:function(){var a=this,b=document.createElementNS("http://www.w3.org/2000/svg","svg"),c=null;if(b){c=b.createSVGMatrix();c.a=a.a;c.b=a.b;c.c=a.c;c.d=a.d;c.e=a.e;c.f=a.f}return c},_q:function(a,b){return Math.abs(a-b)<1e-14},_x:function(){var a=this;if(a.context){a.context.setTransform(a.a,a.b,a.c,a.d,a.e,a.f)}if(a._st){a._st[a._px]=a.useCSS3D?a.toCSS3D():a.toCSS()}return a}};if(typeof exports!=="undefined"){exports.Matrix=Matrix};