three-conic-polygon-geometry/dist/three-conic-polygon-geometry.min.js

ThreeJS geometry for drawing polygons on a sphere

// Version 2.1.2 three-conic-polygon-geometry - https://github.com/vasturiano/three-conic-polygon-geometry
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from(t,n=ht,e=pt){const r=t.length,i=new Float64Array(2*r);for(let o=0;o<r;o++){const r=t[o];i[2*o]=n(r),i[2*o+1]=e(r)}return new ut(i)}constructor(t){const n=t.length>>1;if(n>0&&"number"!=typeof t[0])throw new Error("Expected coords to contain numbers.");this.coords=t;const e=Math.max(2*n-5,0);this._triangles=new Uint32Array(3*e),this._halfedges=new Int32Array(3*e),this._hashSize=Math.ceil(Math.sqrt(n)),this._hullPrev=new Uint32Array(n),this._hullNext=new Uint32Array(n),this._hullTri=new Uint32Array(n),this._hullHash=new Int32Array(this._hashSize),this._ids=new Uint32Array(n),this._dists=new Float64Array(n),this.update()}update(){const{coords:t,_hullPrev:n,_hullNext:e,_hullTri:r,_hullHash:i}=this,o=t.length>>1;let u=1/0,l=1/0,a=-1/0,s=-1/0;for(let n=0;n<o;n++){const e=t[2*n],r=t[2*n+1];e<u&&(u=e),r<l&&(l=r),e>a&&(a=e),r>s&&(s=r),this._ids[n]=n}const c=(u+a)/2,f=(l+s)/2;let h,p,d;for(let n=0,e=1/0;n<o;n++){const r=lt(c,f,t[2*n],t[2*n+1]);r<e&&(h=n,e=r)}const g=t[2*h],y=t[2*h+1];for(let n=0,e=1/0;n<o;n++){if(n===h)continue;const r=lt(g,y,t[2*n],t[2*n+1]);r<e&&r>0&&(p=n,e=r)}let v=t[2*p],m=t[2*p+1],x=1/0;for(let n=0;n<o;n++){if(n===h||n===p)continue;const e=st(g,y,v,m,t[2*n],t[2*n+1]);e<x&&(d=n,x=e)}let w=t[2*d],_=t[2*d+1];if(x===1/0){for(let n=0;n<o;n++)this._dists[n]=t[2*n]-t[0]||t[2*n+1]-t[1];ct(this._ids,this._dists,0,o-1);const n=new Uint32Array(o);let e=0;for(let t=0,r=-1/0;t<o;t++){const i=this._ids[t],o=this._dists[i];o>r&&(n[e++]=i,r=o)}return this.hull=n.subarray(0,e),this.triangles=new Uint32Array(0),void(this.halfedges=new Uint32Array(0))}if(rt(g,y,v,m,w,_)<0){const t=p,n=v,e=m;p=d,v=w,m=_,d=t,w=n,_=e}const b=function(t,n,e,r,i,o){const u=e-t,l=r-n,a=i-t,s=o-n,c=u*u+l*l,f=a*a+s*s,h=.5/(u*s-l*a);return{x:t+(s*c-l*f)*h,y:n+(u*f-a*c)*h}}(g,y,v,m,w,_);this._cx=b.x,this._cy=b.y;for(let n=0;n<o;n++)this._dists[n]=lt(t[2*n],t[2*n+1],b.x,b.y);ct(this._ids,this._dists,0,o-1),this._hullStart=h;let M=3;e[h]=n[d]=p,e[p]=n[h]=d,e[d]=n[p]=h,r[h]=0,r[p]=1,r[d]=2,i.fill(-1),i[this._hashKey(g,y)]=h,i[this._hashKey(v,m)]=p,i[this._hashKey(w,_)]=d,this.trianglesLen=0,this._addTriangle(h,p,d,-1,-1,-1);for(let o,u,l=0;l<this._ids.length;l++){const a=this._ids[l],s=t[2*a],c=t[2*a+1];if(l>0&&Math.abs(s-o)<=it&&Math.abs(c-u)<=it)continue;if(o=s,u=c,a===h||a===p||a===d)continue;let f=0;for(let t=0,n=this._hashKey(s,c);t<this._hashSize&&(f=i[(n+t)%this._hashSize],-1===f||f===e[f]);t++);f=n[f];let g,y=f;for(;g=e[y],rt(s,c,t[2*y],t[2*y+1],t[2*g],t[2*g+1])>=0;)if(y=g,y===f){y=-1;break}if(-1===y)continue;let v=this._addTriangle(y,a,e[y],-1,-1,r[y]);r[a]=this._legalize(v+2),r[y]=v,M++;let m=e[y];for(;g=e[m],rt(s,c,t[2*m],t[2*m+1],t[2*g],t[2*g+1])<0;)v=this._addTriangle(m,a,g,r[a],-1,r[m]),r[a]=this._legalize(v+2),e[m]=m,M--,m=g;if(y===f)for(;g=n[y],rt(s,c,t[2*g],t[2*g+1],t[2*y],t[2*y+1])<0;)v=this._addTriangle(g,a,y,-1,r[y],r[g]),this._legalize(v+2),r[g]=v,e[y]=y,M--,y=g;this._hullStart=n[a]=y,e[y]=n[m]=a,e[a]=m,i[this._hashKey(s,c)]=a,i[this._hashKey(t[2*y],t[2*y+1])]=y}this.hull=new Uint32Array(M);for(let t=0,n=this._hullStart;t<M;t++)this.hull[t]=n,n=e[n];this.triangles=this._triangles.subarray(0,this.trianglesLen),this.halfedges=this._halfedges.subarray(0,this.trianglesLen)}_hashKey(t,n){return Math.floor(function(t,n){const e=t/(Math.abs(t)+Math.abs(n));return(n>0?3-e:1+e)/4}(t-this._cx,n-this._cy)*this._hashSize)%this._hashSize}_legalize(t){const{_triangles:n,_halfedges:e,coords:r}=this;let i=0,o=0;for(;;){const u=e[t],l=t-t%3;if(o=l+(t+2)%3,-1===u){if(0===i)break;t=ot[--i];continue}const a=u-u%3,s=l+(t+1)%3,c=a+(u+2)%3,f=n[o],h=n[t],p=n[s],d=n[c];if(at(r[2*f],r[2*f+1],r[2*h],r[2*h+1],r[2*p],r[2*p+1],r[2*d],r[2*d+1])){n[t]=d,n[u]=f;const r=e[c];if(-1===r){let n=this._hullStart;do{if(this._hullTri[n]===c){this._hullTri[n]=t;break}n=this._hullPrev[n]}while(n!==this._hullStart)}this._link(t,r),this._link(u,e[o]),this._link(o,c);const l=a+(u+1)%3;i<ot.length&&(ot[i++]=l)}else{if(0===i)break;t=ot[--i]}}return o}_link(t,n){this._halfedges[t]=n,-1!==n&&(this._halfedges[n]=t)}_addTriangle(t,n,e,r,i,o){const u=this.trianglesLen;return this._triangles[u]=t,this._triangles[u+1]=n,this._triangles[u+2]=e,this._link(u,r),this._link(u+1,i),this._link(u+2,o),this.trianglesLen+=3,u}}function lt(t,n,e,r){const i=t-e,o=n-r;return i*i+o*o}function at(t,n,e,r,i,o,u,l){const a=t-u,s=n-l,c=e-u,f=r-l,h=i-u,p=o-l,d=c*c+f*f,g=h*h+p*p;return a*(f*g-d*p)-s*(c*g-d*h)+(a*a+s*s)*(c*p-f*h)<0}function st(t,n,e,r,i,o){const u=e-t,l=r-n,a=i-t,s=o-n,c=u*u+l*l,f=a*a+s*s,h=.5/(u*s-l*a),p=(s*c-l*f)*h,d=(u*f-a*c)*h;return p*p+d*d}function ct(t,n,e,r){if(r-e<=20)for(let i=e+1;i<=r;i++){const r=t[i],o=n[r];let u=i-1;for(;u>=e&&n[t[u]]>o;)t[u+1]=t[u--];t[u+1]=r}else{let i=e+1,o=r;ft(t,e+r>>1,i),n[t[e]]>n[t[r]]&&ft(t,e,r),n[t[i]]>n[t[r]]&&ft(t,i,r),n[t[e]]>n[t[i]]&&ft(t,e,i);const u=t[i],l=n[u];for(;;){do{i++}while(n[t[i]]<l);do{o--}while(n[t[o]]>l);if(o<i)break;ft(t,i,o)}t[e+1]=t[o],t[o]=u,r-i+1>=o-e?(ct(t,n,i,r),ct(t,n,e,o-1)):(ct(t,n,e,o-1),ct(t,n,i,r))}}function ft(t,n,e){const r=t[n];t[n]=t[e],t[e]=r}function ht(t){return t[0]}function pt(t){return t[1]}function dt(t,n){var e,r,i,o,u,l,a,s,c,f=0,h=t[0],p=t[1],d=n.length;for(e=0;e<d;e++){r=0;var g=n[e],y=g.length-1;if((s=g[0])[0]!==g[y][0]&&s[1]!==g[y][1])throw new Error("First and last coordinates in a ring must be the same");for(o=s[0]-h,u=s[1]-p;r<y;r++){if(l=(c=g[r+1])[0]-h,a=c[1]-p,0===u&&0===a){if(l<=0&&o>=0||o<=0&&l>=0)return 0}else 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s},yt=1e-6,vt=1e-12,mt=Math.PI,xt=mt/2,wt=mt/4,_t=2*mt,bt=180/mt,Mt=mt/180,St=Math.abs,Et=Math.atan,Nt=Math.atan2,kt=Math.cos,$t=Math.hypot,At=Math.sin,Pt=Math.sign||function(t){return t>0?1:t<0?-1:0},Tt=Math.sqrt;function jt(t){return t>1?xt:t<-1?-xt:Math.asin(t)}function Ft(t){return(t=At(t/2))*t}function zt(){}function It(t,n){t&&Ot.hasOwnProperty(t.type)&&Ot[t.type](t,n)}var Zt={Feature:function(t,n){It(t.geometry,n)},FeatureCollection:function(t,n){for(var e=t.features,r=-1,i=e.length;++r<i;)It(e[r].geometry,n)}},Ot={Sphere:function(t,n){n.sphere()},Point:function(t,n){t=t.coordinates,n.point(t[0],t[1],t[2])},MultiPoint:function(t,n){for(var e=t.coordinates,r=-1,i=e.length;++r<i;)t=e[r],n.point(t[0],t[1],t[2])},LineString:function(t,n){Lt(t.coordinates,n,0)},MultiLineString:function(t,n){for(var e=t.coordinates,r=-1,i=e.length;++r<i;)Lt(e[r],n,0)},Polygon:function(t,n){qt(t.coordinates,n)},MultiPolygon:function(t,n){for(var e=t.coordinates,r=-1,i=e.length;++r<i;)qt(e[r],n)},GeometryCollection:function(t,n){for(var e=t.geometries,r=-1,i=e.length;++r<i;)It(e[r],n)}};function Lt(t,n,e){var r,i=-1,o=t.length-e;for(n.lineStart();++i<o;)r=t[i],n.point(r[0],r[1],r[2]);n.lineEnd()}function qt(t,n){var e=-1,r=t.length;for(n.polygonStart();++e<r;)Lt(t[e],n,1);n.polygonEnd()}function Ht(t,n){t&&Zt.hasOwnProperty(t.type)?Zt[t.type](t,n):It(t,n)}var Ct,Rt,Bt,Gt,Ut,Kt,Dt,Vt,Xt,Jt,Yt,Wt,Qt,tn,nn,en,rn=new g,on=new g,un={point:zt,lineStart:zt,lineEnd:zt,polygonStart:function(){rn=new g,un.lineStart=ln,un.lineEnd=an},polygonEnd:function(){var t=+rn;on.add(t<0?_t+t:t),this.lineStart=this.lineEnd=this.point=zt},sphere:function(){on.add(_t)}};function ln(){un.point=sn}function an(){cn(Ct,Rt)}function sn(t,n){un.point=cn,Ct=t,Rt=n,Bt=t*=Mt,Gt=kt(n=(n*=Mt)/2+wt),Ut=At(n)}function cn(t,n){var e=(t*=Mt)-Bt,r=e>=0?1:-1,i=r*e,o=kt(n=(n*=Mt)/2+wt),u=At(n),l=Ut*u,a=Gt*o+l*kt(i),s=l*r*At(i);rn.add(Nt(s,a)),Bt=t,Gt=o,Ut=u}function fn(t){return[Nt(t[1],t[0]),jt(t[2])]}function hn(t){var n=t[0],e=t[1],r=kt(e);return[r*kt(n),r*At(n),At(e)]}function pn(t,n){return t[0]*n[0]+t[1]*n[1]+t[2]*n[2]}function dn(t,n){return[t[1]*n[2]-t[2]*n[1],t[2]*n[0]-t[0]*n[2],t[0]*n[1]-t[1]*n[0]]}function gn(t,n){t[0]+=n[0],t[1]+=n[1],t[2]+=n[2]}function yn(t,n){return[t[0]*n,t[1]*n,t[2]*n]}function vn(t){var n=Tt(t[0]*t[0]+t[1]*t[1]+t[2]*t[2]);t[0]/=n,t[1]/=n,t[2]/=n}var mn,xn,wn,_n,bn,Mn,Sn,En,Nn,kn,$n,An,Pn,Tn,jn,Fn,zn={point:In,lineStart:On,lineEnd:Ln,polygonStart:function(){zn.point=qn,zn.lineStart=Hn,zn.lineEnd=Cn,tn=new g,un.polygonStart()},polygonEnd:function(){un.polygonEnd(),zn.point=In,zn.lineStart=On,zn.lineEnd=Ln,rn<0?(Kt=-(Vt=180),Dt=-(Xt=90)):tn>yt?Xt=90:tn<-1e-6&&(Dt=-90),en[0]=Kt,en[1]=Vt},sphere:function(){Kt=-(Vt=180),Dt=-(Xt=90)}};function In(t,n){nn.push(en=[Kt=t,Vt=t]),n<Dt&&(Dt=n),n>Xt&&(Xt=n)}function Zn(t,n){var e=hn([t*Mt,n*Mt]);if(Qt){var r=dn(Qt,e),i=dn([r[1],-r[0],0],r);vn(i),i=fn(i);var 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8:n=9,e=this.xmin,o=this.ymax;break;case 9:n=1;continue;case 1:n=5,e=this.xmin,o=this.ymin}r[i]===e&&r[i+1]===o||!this.contains(t,e,o)||(r.splice(i,0,e,o),i+=2)}return i}_project(t,n,e,r){let i,o,u,l=1/0;if(r<0){if(n<=this.ymin)return null;(i=(this.ymin-n)/r)<l&&(u=this.ymin,o=t+(l=i)*e)}else if(r>0){if(n>=this.ymax)return null;(i=(this.ymax-n)/r)<l&&(u=this.ymax,o=t+(l=i)*e)}if(e>0){if(t>=this.xmax)return null;(i=(this.xmax-t)/e)<l&&(o=this.xmax,u=n+(l=i)*r)}else if(e<0){if(t<=this.xmin)return null;(i=(this.xmin-t)/e)<l&&(o=this.xmin,u=n+(l=i)*r)}return[o,u]}_edgecode(t,n){return(t===this.xmin?1:t===this.xmax?2:0)|(n===this.ymin?4:n===this.ymax?8:0)}_regioncode(t,n){return(t<this.xmin?1:t>this.xmax?2:0)|(n<this.ymin?4:n>this.ymax?8:0)}_simplify(t){if(t&&t.length>4){for(let n=0;n<t.length;n+=2){const e=(n+2)%t.length,r=(n+4)%t.length;(t[n]===t[e]&&t[e]===t[r]||t[n+1]===t[e+1]&&t[e+1]===t[r+1])&&(t.splice(e,2),n-=2)}t.length||(t=null)}return t}}const hr=2*Math.PI,pr=Math.pow;function dr(t){return t[0]}function gr(t){return t[1]}function yr(t,n,e){return[t+Math.sin(t+n)*e,n+Math.cos(t-n)*e]}class vr{static from(t,n=dr,e=gr,r){return new vr("length"in t?function(t,n,e,r){const i=t.length,o=new Float64Array(2*i);for(let u=0;u<i;++u){const i=t[u];o[2*u]=n.call(r,i,u,t),o[2*u+1]=e.call(r,i,u,t)}return o}(t,n,e,r):Float64Array.from(function*(t,n,e,r){let i=0;for(const o of t)yield n.call(r,o,i,t),yield e.call(r,o,i,t),++i}(t,n,e,r)))}constructor(t){this._delaunator=new ut(t),this.inedges=new Int32Array(t.length/2),this._hullIndex=new Int32Array(t.length/2),this.points=this._delaunator.coords,this._init()}update(){return this._delaunator.update(),this._init(),this}_init(){const t=this._delaunator,n=this.points;if(t.hull&&t.hull.length>2&&function(t){const{triangles:n,coords:e}=t;for(let t=0;t<n.length;t+=3){const r=2*n[t],i=2*n[t+1],o=2*n[t+2];if((e[o]-e[r])*(e[i+1]-e[r+1])-(e[i]-e[r])*(e[o+1]-e[r+1])>1e-10)return!1}return!0}(t)){this.collinear=Int32Array.from({length:n.length/2},((t,n)=>n)).sort(((t,e)=>n[2*t]-n[2*e]||n[2*t+1]-n[2*e+1]));const t=this.collinear[0],e=this.collinear[this.collinear.length-1],r=[n[2*t],n[2*t+1],n[2*e],n[2*e+1]],i=1e-8*Math.hypot(r[3]-r[1],r[2]-r[0]);for(let t=0,e=n.length/2;t<e;++t){const e=yr(n[2*t],n[2*t+1],i);n[2*t]=e[0],n[2*t+1]=e[1]}this._delaunator=new ut(n)}else delete this.collinear;const e=this.halfedges=this._delaunator.halfedges,r=this.hull=this._delaunator.hull,i=this.triangles=this._delaunator.triangles,o=this.inedges.fill(-1),u=this._hullIndex.fill(-1);for(let t=0,n=e.length;t<n;++t){const n=i[t%3==2?t-2:t+1];-1!==e[t]&&-1!==o[n]||(o[n]=t)}for(let t=0,n=r.length;t<n;++t)u[r[t]]=t;r.length<=2&&r.length>0&&(this.triangles=new Int32Array(3).fill(-1),this.halfedges=new Int32Array(3).fill(-1),this.triangles[0]=r[0],o[r[0]]=1,2===r.length&&(o[r[1]]=0,this.triangles[1]=r[1],this.triangles[2]=r[1]))}voronoi(t){return new fr(this,t)}*neighbors(t){const{inedges:n,hull:e,_hullIndex:r,halfedges:i,triangles:o,collinear:u}=this;if(u){const n=u.indexOf(t);return n>0&&(yield u[n-1]),void(n<u.length-1&&(yield u[n+1]))}const l=n[t];if(-1===l)return;let a=l,s=-1;do{if(yield s=o[a],a=a%3==2?a-2:a+1,o[a]!==t)return;if(a=i[a],-1===a){const n=e[(r[t]+1)%e.length];return void(n!==s&&(yield n))}}while(a!==l)}find(t,n,e=0){if((t=+t)!=t||(n=+n)!=n)return-1;const r=e;let i;for(;(i=this._step(e,t,n))>=0&&i!==e&&i!==r;)e=i;return i}_step(t,n,e){const{inedges:r,hull