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c=Math.sqrt(l);return[(c-a)/s,-(a+c)/s].filter((function(t){return 0<=t&&t<=1}))},bboxoverlap:function(t,n){const e=["x","y"],r=e.length;for(let i,o,a,u,s=0;s<r;s++)if(i=e[s],o=t[i].mid,a=n[i].mid,u=(t[i].size+n[i].size)/2,So(o-a)>=u)return!1;return!0},expandbox:function(t,n){n.x.min<t.x.min&&(t.x.min=n.x.min),n.y.min<t.y.min&&(t.y.min=n.y.min),n.z&&n.z.min<t.z.min&&(t.z.min=n.z.min),n.x.max>t.x.max&&(t.x.max=n.x.max),n.y.max>t.y.max&&(t.y.max=n.y.max),n.z&&n.z.max>t.z.max&&(t.z.max=n.z.max),t.x.mid=(t.x.min+t.x.max)/2,t.y.mid=(t.y.min+t.y.max)/2,t.z&&(t.z.mid=(t.z.min+t.z.max)/2),t.x.size=t.x.max-t.x.min,t.y.size=t.y.max-t.y.min,t.z&&(t.z.size=t.z.max-t.z.min)},pairiteration:function(t,n,e){const r=t.bbox(),i=n.bbox(),o=1e5,a=e||.5;if(r.x.size+r.y.size<a&&i.x.size+i.y.size<a)return[(o*(t._t1+t._t2)/2|0)/o+"/"+(o*(n._t1+n._t2)/2|0)/o];let u=t.split(.5),s=n.split(.5),l=[{left:u.left,right:s.left},{left:u.left,right:s.right},{left:u.right,right:s.right},{left:u.right,right:s.left}];l=l.filter((function(t){return qo.bboxoverlap(t.left.bbox(),t.right.bbox())}));let c=[];return 0===l.length||(l.forEach((function(t){c=c.concat(qo.pairiteration(t.left,t.right,a))})),c=c.filter((function(t,n){return c.indexOf(t)===n}))),c},getccenter:function(t,n,e){const r=n.x-t.x,i=n.y-t.y,o=e.x-n.x,a=e.y-n.y,u=r*Co(Io)-i*Eo(Io),s=r*Eo(Io)+i*Co(Io),l=o*Co(Io)-a*Eo(Io),c=o*Eo(Io)+a*Co(Io),h=(t.x+n.x)/2,f=(t.y+n.y)/2,d=(n.x+e.x)/2,p=(n.y+e.y)/2,g=h+u,y=f+s,v=d+l,_=p+c,m=qo.lli8(h,f,g,y,d,p,v,_),x=qo.dist(m,t);let b,w=No(t.y-m.y,t.x-m.x),k=No(n.y-m.y,n.x-m.x),M=No(e.y-m.y,e.x-m.x);return w<M?((w>k||k>M)&&(w+=Do),w>M&&(b=M,M=w,w=b)):M<k&&k<w?(b=M,M=w,w=b):M+=Do,m.s=w,m.e=M,m.r=x,m},numberSort:function(t,n){return t-n}};class Bo{constructor(t){this.curves=[],this._3d=!1,t&&(this.curves=t,this._3d=this.curves[0]._3d)}valueOf(){return this.toString()}toString(){return"["+this.curves.map((function(t){return qo.pointsToString(t.points)})).join(", ")+"]"}addCurve(t){this.curves.push(t),this._3d=this._3d||t._3d}length(){return this.curves.map((function(t){return t.length()})).reduce((function(t,n){return t+n}))}curve(t){return this.curves[t]}bbox(){const t=this.curves;for(var n=t[0].bbox(),e=1;e<t.length;e++)qo.expandbox(n,t[e].bbox());return n}offset(t){const n=[];return this.curves.forEach((function(e){n.push(...e.offset(t))})),new Bo(n)}}const{abs:$o,min:Ho,max:Vo,cos:Xo,sin:Go,acos:Yo,sqrt:Wo}=Math,Zo=Math.PI;class Qo{constructor(t){let n=t&&t.forEach?t:Array.from(arguments).slice(),e=!1;if("object"==typeof n[0]){e=n.length;const t=[];n.forEach((function(n){["x","y","z"].forEach((function(e){void 0!==n[e]&&t.push(n[e])}))})),n=t}let r=!1;const i=n.length;if(e){if(e>4){if(1!==arguments.length)throw new Error("Only new Bezier(point[]) is accepted for 4th and higher order curves");r=!0}}else if(6!==i&&8!==i&&9!==i&&12!==i&&1!==arguments.length)throw new Error("Only new Bezier(point[]) is accepted for 4th and higher order curves");const o=this._3d=!r&&(9===i||12===i)||t&&t[0]&&void 0!==t[0].z,a=this.points=[];for(let t=0,e=o?3:2;t<i;t+=e){var u={x:n[t],y:n[t+1]};o&&(u.z=n[t+2]),a.push(u)}const s=this.order=a.length-1,l=this.dims=["x","y"];o&&l.push("z"),this.dimlen=l.length;const c=qo.align(a,{p1:a[0],p2:a[s]}),h=qo.dist(a[0],a[s]);this._linear=c.reduce(((t,n)=>t+$o(n.y)),0)<h/50,this._lut=[],this._t1=0,this._t2=1,this.update()}static quadraticFromPoints(t,n,e,r){if(void 0===r&&(r=.5),0===r)return new Qo(n,n,e);if(1===r)return new Qo(t,n,n);const i=Qo.getABC(2,t,n,e,r);return new Qo(t,i.A,e)}static cubicFromPoints(t,n,e,r,i){void 0===r&&(r=.5);const o=Qo.getABC(3,t,n,e,r);void 0===i&&(i=qo.dist(n,o.C));const a=i*(1-r)/r,u=qo.dist(t,e),s=(e.x-t.x)/u,l=(e.y-t.y)/u,c=i*s,h=i*l,f=a*s,d=a*l,p=n.x-c,g=n.y-h,y=n.x+f,v=n.y+d,_=o.A,m=_.x+(p-_.x)/(1-r),x=_.y+(g-_.y)/(1-r),b=_.x+(y-_.x)/r,w=_.y+(v-_.y)/r,k={x:t.x+(m-t.x)/r,y:t.y+(x-t.y)/r},M={x:e.x+(b-e.x)/(1-r),y:e.y+(w-e.y)/(1-r)};return new Qo(t,k,M,e)}static getUtils(){return qo}getUtils(){return Qo.getUtils()}static get PolyBezier(){return Bo}valueOf(){return this.toString()}toString(){return qo.pointsToString(this.points)}toSVG(){if(this._3d)return!1;const t=this.points,n=["M",t[0].x,t[0].y,2===this.order?"Q":"C"];for(let e=1,r=t.length;e<r;e++)n.push(t[e].x),n.push(t[e].y);return n.join(" ")}setRatios(t){if(t.length!==this.points.length)throw new Error("incorrect number of ratio values");this.ratios=t,this._lut=[]}verify(){const t=this.coordDigest();t!==this._print&&(this._print=t,this.update())}coordDigest(){return this.points.map((function(t,n){return""+n+t.x+t.y+(t.z?t.z:0)})).join("")}update(){this._lut=[],this.dpoints=qo.derive(this.points,this._3d),this.computedirection()}computedirection(){const t=this.points,n=qo.angle(t[0],t[this.order],t[1]);this.clockwise=n>0}length(){return qo.length(this.derivative.bind(this))}static getABC(t=2,n,e,r,i=.5){const o=qo.projectionratio(i,t),a=1-o,u={x:o*n.x+a*r.x,y:o*n.y+a*r.y},s=qo.abcratio(i,t);return{A:{x:e.x+(e.x-u.x)/s,y:e.y+(e.y-u.y)/s},B:e,C:u,S:n,E:r}}getABC(t,n){n=n||this.get(t);let e=this.points[0],r=this.points[this.order];return Qo.getABC(this.order,e,n,r,t)}getLUT(t){if(this.verify(),t=t||100,this._lut.length===t+1)return this._lut;this._lut=[],t++,this._lut=[];for(let n,e,r=0;r<t;r++)e=r/(t-1),n=this.compute(e),n.t=e,this._lut.push(n);return this._lut}on(n,e){e=e||5;const r=this.getLUT(),i=[];for(let t,o=0,a=0;o<r.length;o++)t=r[o],qo.dist(t,n)<e&&(i.push(t),a+=o/r.length);return!!i.length&&(t/=i.length)}project(t){const n=this.getLUT(),e=n.length-1,r=qo.closest(n,t),i=r.mpos,o=(i-1)/e,a=(i+1)/e,u=.1/e;let s,l=r.mdist,c=o,h=c;l+=1;for(let n;c<a+u;c+=u)s=this.compute(c),n=qo.dist(t,s),n<l&&(l=n,h=c);return h=h<0?0:h>1?1:h,s=this.compute(h),s.t=h,s.d=l,s}get(t){return this.compute(t)}point(t){return this.points[t]}compute(t){return this.ratios?qo.computeWithRatios(t,this.points,this.ratios,this._3d):qo.compute(t,this.points,this._3d,this.ratios)}raise(){const t=this.points,n=[t[0]],e=t.length;for(let r,i,o=1;o<e;o++)r=t[o],i=t[o-1],n[o]={x:(e-o)/e*r.x+o/e*i.x,y:(e-o)/e*r.y+o/e*i.y};return n[e]=t[e-1],new Qo(n)}derivative(t){return qo.compute(t,this.dpoints[0],this._3d)}dderivative(t){return qo.compute(t,this.dpoints[1],this._3d)}align(){let t=this.points;return new Qo(qo.align(t,{p1:t[0],p2:t[t.length-1]}))}curvature(t){return qo.curvature(t,this.dpoints[0],this.dpoints[1],this._3d)}inflections(){return qo.inflections(this.points)}normal(t){return this._3d?this.__normal3(t):this.__normal2(t)}__normal2(t){const n=this.derivative(t),e=Wo(n.x*n.x+n.y*n.y);return{t:t,x:-n.y/e,y:n.x/e}}__normal3(t){const n=this.derivative(t),e=this.derivative(t+.01),r=Wo(n.x*n.x+n.y*n.y+n.z*n.z),i=Wo(e.x*e.x+e.y*e.y+e.z*e.z);n.x/=r,n.y/=r,n.z/=r,e.x/=i,e.y/=i,e.z/=i;const o={x:e.y*n.z-e.z*n.y,y:e.z*n.x-e.x*n.z,z:e.x*n.y-e.y*n.x},a=Wo(o.x*o.x+o.y*o.y+o.z*o.z);o.x/=a,o.y/=a,o.z/=a;const u=[o.x*o.x,o.x*o.y-o.z,o.x*o.z+o.y,o.x*o.y+o.z,o.y*o.y,o.y*o.z-o.x,o.x*o.z-o.y,o.y*o.z+o.x,o.z*o.z];return{t:t,x:u[0]*n.x+u[1]*n.y+u[2]*n.z,y:u[3]*n.x+u[4]*n.y+u[5]*n.z,z:u[6]*n.x+u[7]*n.y+u[8]*n.z}}hull(t){let n=this.points,e=[],r=[],i=0;for(r[i++]=n[0],r[i++]=n[1],r[i++]=n[2],3===this.order&&(r[i++]=n[3]);n.length>1;){e=[];for(let o,a=0,u=n.length-1;a<u;a++)o=qo.lerp(t,n[a],n[a+1]),r[i++]=o,e.push(o);n=e}return r}split(t,n){if(0===t&&n)return this.split(n).left;if(1===n)return this.split(t).right;const e=this.hull(t),r={left:2===this.order?new Qo([e[0],e[3],e[5]]):new Qo([e[0],e[4],e[7],e[9]]),right:2===this.order?new Qo([e[5],e[4],e[2]]):new Qo([e[9],e[8],e[6],e[3]]),span:e};return r.left._t1=qo.map(0,0,1,this._t1,this._t2),r.left._t2=qo.map(t,0,1,this._t1,this._t2),r.right._t1=qo.map(t,0,1,this._t1,this._t2),r.right._t2=qo.map(1,0,1,this._t1,this._t2),n?(n=qo.map(n,t,1,0,1),r.right.split(n).left):r}extrema(){const t={};let n=[];return this.dims.forEach(function(e){let r=function(t){return t[e]},i=this.dpoints[0].map(r);t[e]=qo.droots(i),3===this.order&&(i=this.dpoints[1].map(r),t[e]=t[e].concat(qo.droots(i))),t[e]=t[e].filter((function(t){return t>=0&&t<=1})),n=n.concat(t[e].sort(qo.numberSort))}.bind(this)),t.values=n.sort(qo.numberSort).filter((function(t,e){return n.indexOf(t)===e})),t}bbox(){const t=this.extrema(),n={};return this.dims.forEach(function(e){n[e]=qo.getminmax(this,e,t[e])}.bind(this)),n}overlaps(t){const n=this.bbox(),e=t.bbox();return qo.bboxoverlap(n,e)}offset(t,n){if(void 0!==n){const e=this.get(t),r=this.normal(t),i={c:e,n:r,x:e.x+r.x*n,y:e.y+r.y*n};return this._3d&&(i.z=e.z+r.z*n),i}if(this._linear){const n=this.normal(0),e=this.points.map((function(e){const r={x:e.x+t*n.x,y:e.y+t*n.y};return e.z&&n.z&&(r.z=e.z+t*n.z),r}));return[new Qo(e)]}return this.reduce().map((function(n){return n._linear?n.offset(t)[0]:n.scale(t)}))}simple(){if(3===this.order){const t=qo.angle(this.points[0],this.points[3],this.points[1]),n=qo.angle(this.points[0],this.points[3],this.points[2]);if(t>0&&n<0||t<0&&n>0)return!1}const t=this.normal(0),n=this.normal(1);let e=t.x*n.x+t.y*n.y;return this._3d&&(e+=t.z*n.z),$o(Yo(e))<Zo/3}reduce(){let t,n,e=0,r=0,i=.01,o=[],a=[],u=this.extrema().values;for(-1===u.indexOf(0)&&(u=[0].concat(u)),-1===u.indexOf(1)&&u.push(1),e=u[0],t=1;t<u.length;t++)r=u[t],n=this.split(e,r),n._t1=e,n._t2=r,o.push(n),e=r;return o.forEach((function(t){for(e=0,r=0;r<=1;)for(r=e+i;r<=1.01;r+=i)if(n=t.split(e,r),!n.simple()){if(r-=i,$o(e-r)<i)return[];n=t.split(e,r),n._t1=qo.map(e,0,1,t._t1,t._t2),n._t2=qo.map(r,0,1,t._t1,t._t2),a.push(n),e=r;break}e<1&&(n=t.split(e,1),n._t1=qo.map(e,0,1,t._t1,t._t2),n._t2=t._t2,a.push(n))})),a}translate(t,n,e){e="number"==typeof e?e:n;const r=this.order;let i=this.points.map(((t,i)=>(1-i/r)*n+i/r*e));return new Qo(this.points.map(((n,e)=>({x:n.x+t.x*i[e],y:n.y+t.y*i[e]}))))}scale(t){const n=this.order;let e=!1;if("function"==typeof t&&(e=t),e&&2===n)return this.raise().scale(e);const r=this.clockwise,i=this.points;if(this._linear)return this.translate(this.normal(0),e?e(0):t,e?e(1):t);const o=e?e(0):t,a=e?e(1):t,u=[this.offset(0,10),this.offset(1,10)],s=[],l=qo.lli4(u[0],u[0].c,u[1],u[1].c);if(!l)throw new Error("cannot scale this curve. 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