blob: 299b908541de838f130796497a78cb0d41ab49b8 [file] [log] [blame]
/*
Copyright (c) 2004-2010, The Dojo Foundation All Rights Reserved.
Available via Academic Free License >= 2.1 OR the modified BSD license.
see: http://dojotoolkit.org/license for details
*/
if(!dojo._hasResource["dojox.gfx.decompose"]){dojo._hasResource["dojox.gfx.decompose"]=true;dojo.provide("dojox.gfx.decompose");dojo.require("dojox.gfx.matrix");(function(){var m=dojox.gfx.matrix;var eq=function(a,b){return Math.abs(a-b)<=0.000001*(Math.abs(a)+Math.abs(b));};var _1=function(r1,m1,r2,m2){if(!isFinite(r1)){return r2;}else{if(!isFinite(r2)){return r1;}}m1=Math.abs(m1),m2=Math.abs(m2);return (m1*r1+m2*r2)/(m1+m2);};var _2=function(_3){var M=new m.Matrix2D(_3);return dojo.mixin(M,{dx:0,dy:0,xy:M.yx,yx:M.xy});};var _4=function(_5){return (_5.xx*_5.yy<0||_5.xy*_5.yx>0)?-1:1;};var _6=function(_7){var M=m.normalize(_7),b=-M.xx-M.yy,c=M.xx*M.yy-M.xy*M.yx,d=Math.sqrt(b*b-4*c),l1=-(b+(b<0?-d:d))/2,l2=c/l1,_8=M.xy/(l1-M.xx),_9=1,_a=M.xy/(l2-M.xx),_b=1;if(eq(l1,l2)){_8=1,_9=0,_a=0,_b=1;}if(!isFinite(_8)){_8=1,_9=(l1-M.xx)/M.xy;if(!isFinite(_9)){_8=(l1-M.yy)/M.yx,_9=1;if(!isFinite(_8)){_8=1,_9=M.yx/(l1-M.yy);}}}if(!isFinite(_a)){_a=1,_b=(l2-M.xx)/M.xy;if(!isFinite(_b)){_a=(l2-M.yy)/M.yx,_b=1;if(!isFinite(_a)){_a=1,_b=M.yx/(l2-M.yy);}}}var d1=Math.sqrt(_8*_8+_9*_9),d2=Math.sqrt(_a*_a+_b*_b);if(!isFinite(_8/=d1)){_8=0;}if(!isFinite(_9/=d1)){_9=0;}if(!isFinite(_a/=d2)){_a=0;}if(!isFinite(_b/=d2)){_b=0;}return {value1:l1,value2:l2,vector1:{x:_8,y:_9},vector2:{x:_a,y:_b}};};var _c=function(M,_d){var _e=_4(M),a=_d.angle1=(Math.atan2(M.yx,M.yy)+Math.atan2(-_e*M.xy,_e*M.xx))/2,_f=Math.cos(a),sin=Math.sin(a);_d.sx=_1(M.xx/_f,_f,-M.xy/sin,sin);_d.sy=_1(M.yy/_f,_f,M.yx/sin,sin);return _d;};var _10=function(M,_11){var _12=_4(M),a=_11.angle2=(Math.atan2(_12*M.yx,_12*M.xx)+Math.atan2(-M.xy,M.yy))/2,cos=Math.cos(a),sin=Math.sin(a);_11.sx=_1(M.xx/cos,cos,M.yx/sin,sin);_11.sy=_1(M.yy/cos,cos,-M.xy/sin,sin);return _11;};dojox.gfx.decompose=function(_13){var M=m.normalize(_13),_14={dx:M.dx,dy:M.dy,sx:1,sy:1,angle1:0,angle2:0};if(eq(M.xy,0)&&eq(M.yx,0)){return dojo.mixin(_14,{sx:M.xx,sy:M.yy});}if(eq(M.xx*M.yx,-M.xy*M.yy)){return _c(M,_14);}if(eq(M.xx*M.xy,-M.yx*M.yy)){return _10(M,_14);}var MT=_2(M),u=_6([M,MT]),v=_6([MT,M]),U=new m.Matrix2D({xx:u.vector1.x,xy:u.vector2.x,yx:u.vector1.y,yy:u.vector2.y}),VT=new m.Matrix2D({xx:v.vector1.x,xy:v.vector1.y,yx:v.vector2.x,yy:v.vector2.y}),S=new m.Matrix2D([m.invert(U),M,m.invert(VT)]);_c(VT,_14);S.xx*=_14.sx;S.yy*=_14.sy;_10(U,_14);S.xx*=_14.sx;S.yy*=_14.sy;return dojo.mixin(_14,{sx:S.xx,sy:S.yy});};})();}