root / trunk / web / dojo / dojox / gfx / decompose.js @ 9
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| 1 | 9 | andrej.cim | /*
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| 2 | Copyright (c) 2004-2010, The Dojo Foundation All Rights Reserved.
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| 3 | Available via Academic Free License >= 2.1 OR the modified BSD license.
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| 4 | see: http://dojotoolkit.org/license for details
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| 5 | */
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| 6 | |||
| 7 | |||
| 8 | if(!dojo._hasResource["dojox.gfx.decompose"]){ |
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| 9 | dojo._hasResource["dojox.gfx.decompose"]=true; |
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| 10 | dojo.provide("dojox.gfx.decompose");
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| 11 | dojo.require("dojox.gfx.matrix");
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| 12 | (function(){
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| 13 | var m=dojox.gfx.matrix;
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| 14 | var eq=function(a,b){ |
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| 15 | return Math.abs(a-b)<=0.000001*(Math.abs(a)+Math.abs(b)); |
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| 16 | }; |
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| 17 | var _1=function(r1,m1,r2,m2){ |
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| 18 | if(!isFinite(r1)){
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| 19 | return r2;
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| 20 | }else{
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| 21 | if(!isFinite(r2)){
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| 22 | return r1;
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| 23 | } |
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| 24 | } |
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| 25 | m1=Math.abs(m1),m2=Math.abs(m2); |
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| 26 | return (m1*r1+m2*r2)/(m1+m2);
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| 27 | }; |
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| 28 | var _2=function(_3){ |
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| 29 | var M=new m.Matrix2D(_3); |
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| 30 | return dojo.mixin(M,{dx:0,dy:0,xy:M.yx,yx:M.xy}); |
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| 31 | }; |
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| 32 | var _4=function(_5){ |
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| 33 | return (_5.xx*_5.yy<0||_5.xy*_5.yx>0)?-1:1; |
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| 34 | }; |
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| 35 | var _6=function(_7){ |
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| 36 | 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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| 37 | if(eq(l1,l2)){
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| 38 | _8=1,_9=0,_a=0,_b=1; |
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| 39 | } |
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| 40 | if(!isFinite(_8)){
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| 41 | _8=1,_9=(l1-M.xx)/M.xy;
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| 42 | if(!isFinite(_9)){
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| 43 | _8=(l1-M.yy)/M.yx,_9=1;
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| 44 | if(!isFinite(_8)){
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| 45 | _8=1,_9=M.yx/(l1-M.yy);
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| 46 | } |
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| 47 | } |
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| 48 | } |
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| 49 | if(!isFinite(_a)){
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| 50 | _a=1,_b=(l2-M.xx)/M.xy;
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| 51 | if(!isFinite(_b)){
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| 52 | _a=(l2-M.yy)/M.yx,_b=1;
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| 53 | if(!isFinite(_a)){
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| 54 | _a=1,_b=M.yx/(l2-M.yy);
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| 55 | } |
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| 56 | } |
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| 57 | } |
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| 58 | var d1=Math.sqrt(_8*_8+_9*_9),d2=Math.sqrt(_a*_a+_b*_b);
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| 59 | if(!isFinite(_8/=d1)){
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| 60 | _8=0;
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| 61 | } |
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| 62 | if(!isFinite(_9/=d1)){
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| 63 | _9=0;
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| 64 | } |
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| 65 | if(!isFinite(_a/=d2)){
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| 66 | _a=0;
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| 67 | } |
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| 68 | if(!isFinite(_b/=d2)){
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| 69 | _b=0;
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| 70 | } |
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| 71 | return {value1:l1,value2:l2,vector1:{x:_8,y:_9},vector2:{x:_a,y:_b}}; |
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| 72 | }; |
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| 73 | var _c=function(M,_d){ |
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| 74 | 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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| 75 | _d.sx=_1(M.xx/_f,_f,-M.xy/sin,sin); |
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| 76 | _d.sy=_1(M.yy/_f,_f,M.yx/sin,sin); |
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| 77 | return _d;
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| 78 | }; |
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| 79 | var _10=function(M,_11){ |
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| 80 | 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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| 81 | _11.sx=_1(M.xx/cos,cos,M.yx/sin,sin); |
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| 82 | _11.sy=_1(M.yy/cos,cos,-M.xy/sin,sin); |
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| 83 | return _11;
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| 84 | }; |
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| 85 | dojox.gfx.decompose=function(_13){ |
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| 86 | var M=m.normalize(_13),_14={dx:M.dx,dy:M.dy,sx:1,sy:1,angle1:0,angle2:0}; |
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| 87 | if(eq(M.xy,0)&&eq(M.yx,0)){ |
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| 88 | return dojo.mixin(_14,{sx:M.xx,sy:M.yy}); |
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| 89 | } |
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| 90 | if(eq(M.xx*M.yx,-M.xy*M.yy)){
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| 91 | return _c(M,_14);
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| 92 | } |
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| 93 | if(eq(M.xx*M.xy,-M.yx*M.yy)){
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| 94 | return _10(M,_14);
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| 95 | } |
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| 96 | 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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| 97 | _c(VT,_14); |
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| 98 | S.xx*=_14.sx; |
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| 99 | S.yy*=_14.sy; |
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| 100 | _10(U,_14); |
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| 101 | S.xx*=_14.sx; |
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| 102 | S.yy*=_14.sy; |
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| 103 | return dojo.mixin(_14,{sx:S.xx,sy:S.yy}); |
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| 104 | }; |
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| 105 | })(); |
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| 106 | } |