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