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n=-1;this.isPaused&&(this.currentRawFrame+this.firstFramee&&(n=e-t)),this.firstFrame=t,this.totalFrames=e-t,this.timeCompleted=this.totalFrames,-1!==n&&this.goToAndStop(n,!0)},ft.prototype.playSegments=function(t,e){if(e&&(this.segments.length=0),"object"===ct(t[0])){var n,r=t.length;for(n=0;n=0;n-=1)e[n].animation.destroy(t)}function k(t,e,n){var r,i=[].concat([].slice.call(document.getElementsByClassName("lottie")),[].slice.call(document.getElementsByClassName("bodymovin"))),s=i.length;for(r=0;r0?n=u:e=u}while(Math.abs(a)>s&&++h=i?g(t,c,e,n):0===f?c:m(t,s,s+u,e,n)}},t}(),mt=function(){function t(t){return t.concat(v(t.length))}return{double:t}}(),gt=function(){return function(t,e,n){var r=0,i=t,s=v(i),o={newElement:a,release:u};function a(){var t;return r?(r-=1,t=s[r]):t=e(),t}function u(t){r===i&&(s=mt["double"](s),i*=2),n&&n(t),s[r]=t,r+=1}return o}}(),vt=function(){function t(){return{addedLength:0,percents:g("float32",Q()),lengths:g("float32",Q())}}return 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e=Yt.split("&"),n=0;n=1?s.push({s:t-1,e:e-1}):(s.push({s:t,e:1}),s.push({s:0,e:e-1}));var o,a,u=[],h=s.length;for(o=0;or+n))l=a.s*i<=r?0:(a.s*i-r)/n,c=a.e*i>=r+n?1:(a.e*i-r)/n,u.push([l,c])}return u.length||u.push([0,0]),u},Qt.prototype.releasePathsData=function(t){var e,n=t.length;for(e=0;e1?1+s:this.s.v<0?0+s:this.s.v+s,n=this.e.v>1?1+s:this.e.v<0?0+s:this.e.v+s,e>n){var o=e;e=n,n=o}e=1e-4*Math.round(1e4*e),n=1e-4*Math.round(1e4*n),this.sValue=e,this.eValue=n}else e=this.sValue,n=this.eValue;var a,u,h,l,c,f=this.shapes.length,p=0;if(n===e)for(i=0;i=0;i-=1)if(d=this.shapes[i],d.shape._mdf){for(m=d.localShapeCollection,m.releaseShapes(),2===this.m&&f>1?(v=this.calculateShapeEdges(e,n,d.totalShapeLength,b,p),b+=d.totalShapeLength):v=[[y,_]],u=v.length,a=0;a=1?g.push({s:d.totalShapeLength*(y-1),e:d.totalShapeLength*(_-1)}):(g.push({s:d.totalShapeLength*y,e:d.totalShapeLength}),g.push({s:0,e:d.totalShapeLength*(_-1)}));var w=this.addShapes(d,g[0]);if(g[0].s!==g[0].e){if(g.length>1){var 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r(){if(!this.a.k&&(this.pre.translate(-this.a.v[0],-this.a.v[1],this.a.v[2]),this.appliedTransformations=1,!this.s.effectsSequence.length)){if(this.pre.scale(this.s.v[0],this.s.v[1],this.s.v[2]),this.appliedTransformations=2,this.sk){if(this.sk.effectsSequence.length||this.sa.effectsSequence.length)return;this.pre.skewFromAxis(-this.sk.v,this.sa.v),this.appliedTransformations=3}this.r?this.r.effectsSequence.length||(this.pre.rotate(-this.r.v),this.appliedTransformations=4):this.rz.effectsSequence.length||this.ry.effectsSequence.length||this.rx.effectsSequence.length||this.or.effectsSequence.length||(this.pre.rotateZ(-this.rz.v).rotateY(this.ry.v).rotateX(this.rx.v).rotateZ(-this.or.v[2]).rotateY(this.or.v[1]).rotateX(this.or.v[0]),this.appliedTransformations=4)}}function i(){}function s(t){this._addDynamicProperty(t),this.elem.addDynamicProperty(t),this._isDirty=!0}function o(t,e,n){if(this.elem=t,this.frameId=-1,this.propType="transform",this.data=e,this.v=new Ct,this.pre=new Ct,this.appliedTransformations=0,this.initDynamicPropertyContainer(n||t),e.p&&e.p.s?(this.px=wt.getProp(t,e.p.x,0,0,this),this.py=wt.getProp(t,e.p.y,0,0,this),e.p.z&&(this.pz=wt.getProp(t,e.p.z,0,0,this))):this.p=wt.getProp(t,e.p||{k:[0,0,0]},1,0,this),e.rx){if(this.rx=wt.getProp(t,e.rx,0,M,this),this.ry=wt.getProp(t,e.ry,0,M,this),this.rz=wt.getProp(t,e.rz,0,M,this),e.or.k[0].ti){var r,i=e.or.k.length;for(r=0;r0)n-=1,this._elements.unshift(e[n]);this.dynamicProperties.length?this.k=!0:this.getValue(!0)},ne.prototype.resetElements=function(t){var e,n=t.length;for(e=0;e0?Math.floor(f):Math.ceil(f),m=this.pMatrix.props,g=this.rMatrix.props,v=this.sMatrix.props;this.pMatrix.reset(),this.rMatrix.reset(),this.sMatrix.reset(),this.tMatrix.reset(),this.matrix.reset();var y,_,b=0;if(f>0){while(bd)this.applyTransforms(this.pMatrix,this.rMatrix,this.sMatrix,this.tr,1,!0),b-=1;p&&(this.applyTransforms(this.pMatrix,this.rMatrix,this.sMatrix,this.tr,-p,!0),b-=p)}r=1===this.data.m?0:this._currentCopies-1,i=1===this.data.m?1:-1,s=this._currentCopies;while(s){if(e=this.elemsData[r].it,n=e[e.length-1].transform.mProps.v.props,_=n.length,e[e.length-1].transform.mProps._mdf=!0,e[e.length-1].transform.op._mdf=!0,e[e.length-1].transform.op.v=1===this._currentCopies?this.so.v:this.so.v+(this.eo.v-this.so.v)*(r/(this._currentCopies-1)),0!==b){for((0!==r&&1===i||r!==this._currentCopies-1&&-1===i)&&this.applyTransforms(this.pMatrix,this.rMatrix,this.sMatrix,this.tr,1,!1),this.matrix.transform(g[0],g[1],g[2],g[3],g[4],g[5],g[6],g[7],g[8],g[9],g[10],g[11],g[12],g[13],g[14],g[15]),this.matrix.transform(v[0],v[1],v[2],v[3],v[4],v[5],v[6],v[7],v[8],v[9],v[10],v[11],v[12],v[13],v[14],v[15]),this.matrix.transform(m[0],m[1],m[2],m[3],m[4],m[5],m[6],m[7],m[8],m[9],m[10],m[11],m[12],m[13],m[14],m[15]),y=0;y<_;y+=1)n[y]=this.matrix.props[y];this.matrix.reset()}else for(this.matrix.reset(),y=0;y<_;y+=1)n[y]=this.matrix.props[y];b+=1,s-=1,r+=i}}else{s=this._currentCopies,r=0,i=1;while(s)e=this.elemsData[r].it,n=e[e.length-1].transform.mProps.v.props,e[e.length-1].transform.mProps._mdf=!1,e[e.length-1].transform.op._mdf=!1,s-=1,r+=i}return o},ne.prototype.addShape=function(){},f([Zt],re),re.prototype.initModifierProperties=function(t,e){this.getValue=this.processKeys,this.rd=wt.getProp(t,e.r,0,null,this),this._isAnimated=!!this.rd.effectsSequence.length},re.prototype.processPath=function(t,e){var n,r=kt.newElement();r.c=t.c;var i,s,o,a,u,h,l,c,f,p,d,m,g=t._length,v=0;for(n=0;n0&&(l=!1),l){var f=c("style");f.setAttribute("f-forigin",r[n].fOrigin),f.setAttribute("f-origin",r[n].origin),f.setAttribute("f-family",r[n].fFamily),f.type="text/css",f.innerText="@font-face {font-family: "+r[n].fFamily+"; font-style: normal; src: url('"+r[n].fPath+"');}",e.appendChild(f)}}else if("g"===r[n].fOrigin||1===r[n].origin){for(a=document.querySelectorAll('link[f-forigin="g"], link[f-origin="1"]'),h=0;ht?!0!==this.isInRange&&(this.globalData._mdf=!0,this._mdf=!0,this.isInRange=!0,this.show()):!1!==this.isInRange&&(this.globalData._mdf=!0,this.isInRange=!1,this.hide())},renderRenderable:function(){var t,e=this.renderableComponents.length;for(t=0;t0&&(this.maskElement.setAttribute("id",y),this.element.maskedElement.setAttribute(b,"url("+l()+"#"+y+")"),s.appendChild(this.maskElement)),this.viewData.length&&this.element.addRenderableComponent(this)}Ie.prototype.prepareFrame=function(){},f([oe,Ce,Oe],Ie),Ie.prototype.getBaseElement=function(){return null},Ie.prototype.renderFrame=function(){},Ie.prototype.destroy=function(){},Ie.prototype.initExpressions=function(){this.layerInterface=Me(this)},Ie.prototype.getFootageData=function(){return this.footageData},Fe.prototype.prepareFrame=function(t){if(this.prepareRenderableFrame(t,!0),this.prepareProperties(t,!0),this.tm._placeholder)this._currentTime=t/this.data.sr;else{var e=this.tm.v;this._currentTime=e}this._volume=this.lv.v[0];var n=this._volume*this._volumeMultiplier;this._previousVolume!==n&&(this._previousVolume=n,this.audio.volume(n))},f([oe,Ce,Oe],Fe),Fe.prototype.renderFrame=function(){this.isInRange&&this._canPlay&&(this._isPlaying?(!this.audio.playing()||Math.abs(this._currentTime/this.globalData.frameRate-this.audio.seek())>.1)&&this.audio.seek(this._currentTime/this.globalData.frameRate):(this.audio.play(),this.audio.seek(this._currentTime/this.globalData.frameRate),this._isPlaying=!0))},Fe.prototype.show=function(){},Fe.prototype.hide=function(){this.audio.pause(),this._isPlaying=!1},Fe.prototype.pause=function(){this.audio.pause(),this._isPlaying=!1,this._canPlay=!1},Fe.prototype.resume=function(){this._canPlay=!0},Fe.prototype.setRate=function(t){this.audio.rate(t)},Fe.prototype.volume=function(t){this._volumeMultiplier=t,this._previousVolume=t*this._volume,this.audio.volume(this._previousVolume)},Fe.prototype.getBaseElement=function(){return null},Fe.prototype.destroy=function(){},Fe.prototype.sourceRectAtTime=function(){},Fe.prototype.initExpressions=function(){},je.prototype.checkLayers=function(t){var e,n,r=this.layers.length;for(this.completeLayers=!0,e=r-1;e>=0;e-=1)this.elements[e]||(n=this.layers[e],n.ip-n.st<=t-this.layers[e].st&&n.op-n.st>t-this.layers[e].st&&this.buildItem(e)),this.completeLayers=!!this.elements[e]&&this.completeLayers;this.checkPendingElements()},je.prototype.createItem=function(t){switch(t.ty){case 2:return this.createImage(t);case 0:return this.createComp(t);case 1:return this.createSolid(t);case 3:return this.createNull(t);case 4:return this.createShape(t);case 5:return this.createText(t);case 6:return this.createAudio(t);case 13:return this.createCamera(t);case 15:return this.createFootage(t);default:return this.createNull(t)}},je.prototype.createCamera=function(){throw new Error("You're using a 3d camera. Try the html renderer.")},je.prototype.createAudio=function(t){return new Fe(t,this.globalData,this)},je.prototype.createFootage=function(t){return new Ie(t,this.globalData,this)},je.prototype.buildAllItems=function(){var t,e=this.layers.length;for(t=0;t1&&(s+=" C"+e.o[r-1][0]+","+e.o[r-1][1]+" "+e.i[0][0]+","+e.i[0][1]+" "+e.v[0][0]+","+e.v[0][1]),n.lastPath!==s){var o="";n.elem&&(e.c&&(o=t.inv?this.solidPath+s:s),n.elem.setAttribute("d",o)),n.lastPath=s}},Le.prototype.destroy=function(){this.element=null,this.globalData=null,this.maskElement=null,this.data=null,this.masksProperties=null};var Ne=function(){var t={};function e(t,e){var n=et("filter");return n.setAttribute("id",t),!0!==e&&(n.setAttribute("filterUnits","objectBoundingBox"),n.setAttribute("x","0%"),n.setAttribute("y","0%"),n.setAttribute("width","100%"),n.setAttribute("height","100%")),n}function n(){var t=et("feColorMatrix");return t.setAttribute("type","matrix"),t.setAttribute("color-interpolation-filters","sRGB"),t.setAttribute("values","0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1"),t}return t.createFilter=e,t.createAlphaToLuminanceFilter=n,t}(),Be=function(){var t={maskType:!0};return(/MSIE 10/i.test(navigator.userAgent)||/MSIE 9/i.test(navigator.userAgent)||/rv:11.0/i.test(navigator.userAgent)||/Edge\/\d./i.test(navigator.userAgent))&&(t.maskType=!1),t}(),ze={},$e="filter_result_";function Ve(t){var e,n,r="SourceGraphic",i=t.data.ef?t.data.ef.length:0,s=V(),o=Ne.createFilter(s,!0),a=0;for(this.filters=[],e=0;e=0;t-=1)if(e=this.shapeModifiers[t].processShapes(this._isFirstFrame),e)break}},searchProcessedElement:function(t){var e=this.processedElements,n=0,r=e.length;while(n.01)return!1;r+=1}return!0},rn.prototype.checkCollapsable=function(){if(this.o.length/2!==this.c.length/4)return!1;if(this.data.k.k[0].s){var t=0,e=this.data.k.k.length;while(t0)u=r.transformers[m].mProps._mdf||u,d-=1,m-=1;if(u){d=v-r.styles[l].lvl,m=r.transformers.length-1;while(d>0)p=r.transformers[m].mProps.v.props,f.transform(p[0],p[1],p[2],p[3],p[4],p[5],p[6],p[7],p[8],p[9],p[10],p[11],p[12],p[13],p[14],p[15]),d-=1,m-=1}}else f=t;if(c=r.sh.paths,o=c._length,u){for(a="",s=0;s=1?y=.99:y<=-1&&(y=-.99);var _=a*y,b=Math.cos(v+e.a.v)*_+l[0],w=Math.sin(v+e.a.v)*_+l[1];u.setAttribute("fx",b),u.setAttribute("fy",w),h&&!e.g._collapsable&&(e.of.setAttribute("fx",b),e.of.setAttribute("fy",w))}}function l(t,e,n){var r=e.style,i=e.d;i&&(i._mdf||n)&&i.dashStr&&(r.pElem.setAttribute("stroke-dasharray",i.dashStr),r.pElem.setAttribute("stroke-dashoffset",i.dashoffset[0])),e.c&&(e.c._mdf||n)&&r.pElem.setAttribute("stroke","rgb("+S(e.c.v[0])+","+S(e.c.v[1])+","+S(e.c.v[2])+")"),(e.o._mdf||n)&&r.pElem.setAttribute("stroke-opacity",e.o.v),(e.w._mdf||n)&&(r.pElem.setAttribute("stroke-width",e.w.v),r.msElem&&r.msElem.setAttribute("stroke-width",e.w.v))}return n}();function cn(t,e,n){this.shapes=[],this.shapesData=t.shapes,this.stylesList=[],this.shapeModifiers=[],this.itemsData=[],this.processedElements=[],this.animatedContents=[],this.initElement(t,e,n),this.prevViewData=[]}function fn(t,e,n,r,i,s){this.o=t,this.sw=e,this.sc=n,this.fc=r,this.m=i,this.p=s,this._mdf={o:!0,sw:!!e,sc:!!n,fc:!!r,m:!0,p:!0}}function pn(t,e){this._frameId=o,this.pv="",this.v="",this.kf=!1,this._isFirstFrame=!0,this._mdf=!1,this.data=e,this.elem=t,this.comp=this.elem.comp,this.keysIndex=0,this.canResize=!1,this.minimumFontSize=1,this.effectsSequence=[],this.currentData={ascent:0,boxWidth:this.defaultBoxWidth,f:"",fStyle:"",fWeight:"",fc:"",j:"",justifyOffset:"",l:[],lh:0,lineWidths:[],ls:"",of:"",s:"",sc:"",sw:0,t:0,tr:0,sz:0,ps:null,fillColorAnim:!1,strokeColorAnim:!1,strokeWidthAnim:!1,yOffset:0,finalSize:0,finalText:[],finalLineHeight:0,__complete:!1},this.copyData(this.currentData,this.data.d.k[0].s),this.searchProperty()||this.completeTextData(this.currentData)}f([Ce,Re,Ue,We,qe,Oe,Ge],cn),cn.prototype.initSecondaryElement=function(){},cn.prototype.identityMatrix=new Ct,cn.prototype.buildExpressionInterface=function(){},cn.prototype.createContent=function(){this.searchShapes(this.shapesData,this.itemsData,this.prevViewData,this.layerElement,0,[],!0),this.filterUniqueShapes()},cn.prototype.filterUniqueShapes=function(){var t,e,n,r,i=this.shapes.length,s=this.stylesList.length,o=[],a=!1;for(n=0;n1&&a&&this.setShapesAsAnimated(o)}},cn.prototype.setShapesAsAnimated=function(t){var e,n=t.length;for(e=0;e=0;a-=1){if(f=this.searchProcessedElement(t[a]),f?e[a]=n[f-1]:t[a]._render=o,"fl"===t[a].ty||"st"===t[a].ty||"gf"===t[a].ty||"gs"===t[a].ty||"no"===t[a].ty)f?e[a].style.closed=!1:e[a]=this.createStyleElement(t[a],i),t[a]._render&&e[a].style.pElem.parentNode!==r&&r.appendChild(e[a].style.pElem),m.push(e[a].style);else if("gr"===t[a].ty){if(f)for(h=e[a].it.length,u=0;u1,this.kf&&this.addEffect(this.getKeyframeValue.bind(this)),this.kf},pn.prototype.addEffect=function(t){this.effectsSequence.push(t),this.elem.addDynamicProperty(this)},pn.prototype.getValue=function(t){if(this.elem.globalData.frameId!==this.frameId&&this.effectsSequence.length||t){this.currentData.t=this.data.d.k[this.keysIndex].s.t;var e=this.currentData,n=this.keysIndex;if(this.lock)this.setCurrentData(this.currentData);else{var r;this.lock=!0,this._mdf=!1;var i=this.effectsSequence.length,s=t||this.data.d.k[this.keysIndex].s;for(r=0;re)break;n+=1}return this.keysIndex!==n&&(this.keysIndex=n),this.data.d.k[this.keysIndex].s},pn.prototype.buildFinalText=function(t){var e,n,r=[],i=0,s=t.length,o=!1;while(i=55296&&e<=56319?(n=t.charCodeAt(i+1),n>=56320&&n<=57343?(o||se.isModifier(e,n)?(r[r.length-1]+=t.substr(i,2),o=!1):r.push(t.substr(i,2)),i+=1):r.push(t.charAt(i))):e>56319?(n=t.charCodeAt(i+1),se.isZeroWidthJoiner(e,n)?(o=!0,r[r.length-1]+=t.substr(i,2),i+=1):r.push(t.charAt(i))):se.isZeroWidthJoiner(e)?(r[r.length-1]+=t.charAt(i),o=!0):r.push(t.charAt(i)),i+=1;return r},pn.prototype.completeTextData=function(t){t.__complete=!0;var e,n,r,i,s,o,a,u=this.elem.globalData.fontManager,h=this.data,l=[],c=0,f=h.m.g,p=0,d=0,m=0,g=[],v=0,y=0,_=u.getFontByName(t.f),b=0,w=ie(_);t.fWeight=w.weight,t.fStyle=w.style,t.finalSize=t.s,t.finalText=this.buildFinalText(t.t),n=t.finalText.length,t.finalLineHeight=t.lh;var x,T=t.tr/1e3*t.finalSize;if(t.sz){var P,k,S=!0,A=t.sz[0],E=t.sz[1];while(S){k=this.buildFinalText(t.t),P=0,v=0,n=k.length,T=t.tr/1e3*t.finalSize;var C=-1;for(e=0;eA&&" "!==k[e]?(-1===C?n+=1:e=C,P+=t.finalLineHeight||1.2*t.finalSize,k.splice(e,C===e?1:0,"\r"),C=-1,v=0):(v+=b,v+=T);P+=_.ascent*t.finalSize/100,this.canResize&&t.finalSize>this.minimumFontSize&&Ey?v:y,v=-2*T,i="",r=!0,m+=1):i=O,u.chars?(a=u.getCharData(O,_.fStyle,u.getFontByName(t.f).fFamily),b=r?0:a.w*t.finalSize/100):b=u.measureText(i,t.f,t.finalSize)," "===O?D+=b+T:(v+=b+T+D,D=0),l.push({l:b,an:b,add:p,n:r,anIndexes:[],val:i,line:m,animatorJustifyOffset:0}),2==f){if(p+=b,""===i||" "===i||e===n-1){""!==i&&" "!==i||(p-=b);while(d<=e)l[d].an=p,l[d].ind=c,l[d].extra=b,d+=1;c+=1,p=0}}else if(3==f){if(p+=b,""===i||e===n-1){""===i&&(p-=b);while(d<=e)l[d].an=p,l[d].ind=c,l[d].extra=b,d+=1;p=0,c+=1}}else l[c].ind=c,l[c].extra=0,c+=1;if(t.l=l,y=v>y?v:y,g.push(v),t.sz)t.boxWidth=t.sz[0],t.justifyOffset=0;else switch(t.boxWidth=y,t.j){case 1:t.justifyOffset=-t.boxWidth;break;case 2:t.justifyOffset=-t.boxWidth/2;break;default:t.justifyOffset=0}t.lineWidths=g;var M,I,F,j,R=h.a;o=R.length;var L=[];for(s=0;s0?i=this.ne.v/100:s=-this.ne.v/100,this.xe.v>0?o=1-this.xe.v/100:a=1+this.xe.v/100;var u=dt.getBezierEasing(i,s,o,a).get,h=0,l=this.finalS,c=this.finalE,f=this.data.sh;if(2===f)h=c===l?r>=c?1:0:t(0,e(.5/(c-l)+(r-l)/(c-l),1)),h=u(h);else if(3===f)h=c===l?r>=c?0:1:1-t(0,e(.5/(c-l)+(r-l)/(c-l),1)),h=u(h);else if(4===f)c===l?h=0:(h=t(0,e(.5/(c-l)+(r-l)/(c-l),1)),h<.5?h*=2:h=1-2*(h-.5)),h=u(h);else if(5===f){if(c===l)h=0;else{var p=c-l;r=e(t(0,r+.5-l),c-l);var d=-p/2+r,m=p/2;h=Math.sqrt(1-d*d/(m*m))}h=u(h)}else 6===f?(c===l?h=0:(r=e(t(0,r+.5-l),c-l),h=(1+Math.cos(Math.PI+2*Math.PI*r/(c-l)))/2),h=u(h)):(r>=n(l)&&(h=t(0,e(r-l<0?e(c,1)-(l-r):c-r,1))),h=u(h));if(100!==this.sm.v){var g=.01*this.sm.v;0===g&&(g=1e-8);var v=.5-.5*g;h1&&(h=1))}return h*this.a.v},getValue:function(t){this.iterateDynamicProperties(),this._mdf=t||this._mdf,this._currentTextLength=this.elem.textProperty.currentData.l.length||0,t&&2===this.data.r&&(this.e.v=this._currentTextLength);var 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gn(t,e,n){this._isFirstFrame=!0,this._hasMaskedPath=!1,this._frameId=-1,this._textData=t,this._renderType=e,this._elem=n,this._animatorsData=v(this._textData.a.length),this._pathData={},this._moreOptions={alignment:{}},this.renderedLetters=[],this.lettersChangedFlag=!1,this.initDynamicPropertyContainer(n)}function vn(){}gn.prototype.searchProperties=function(){var t,e,n=this._textData.a.length,r=wt.getProp;for(t=0;t=a+ct||!d?(y=(a+ct-h)/u.partialLength,B=p.point[0]+(u.point[0]-p.point[0])*y,z=p.point[1]+(u.point[1]-p.point[1])*y,P.translate(-w[0]*A[i].an*.005,-w[1]*R*.01),l=!1):d&&(h+=u.partialLength,c+=1,c>=d.length&&(c=0,f+=1,m[f]?d=m[f].points:b.v.c?(c=0,f=0,d=m[f].points):(h-=u.partialLength,d=null)),d&&(p=u,u=d[c],g=u.partialLength));N=A[i].an/2-A[i].add,P.translate(-N,0,0)}else 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