polyhedronisme.min.js

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a=[[cos(e),-1*sin(e),0],[sin(e),cos(e),0],[0,0,1]],i=[[cos(n),0,-1*sin(n)],[0,1,0],[sin(n),0,cos(n)]],c=[[1,0,0],[0,cos(s),-1*sin(s)],[0,sin(s),cos(s)]];return mm3(c,mm3(i,a))},vec_rotm=function(e,n,s,a){let i;e/=2;const c=sin(e),f=cos(e),d=c*c,t=mag([n,s,a]);if(0===t&&([n,s,a]=[0,0,1]),1!==t&&([n,s,a]=unit([n,s,a])),1===n&&0===s&&0===a)i=[[1,0,0],[0,1-2*d,2*c*f],[0,-2*c*f,1-2*d]];else if(0===n&&1===s&&0===a)i=[[1-2*d,0,-2*c*f],[0,1,0],[2*c*f,0,1-2*d]];else if(0===n&&0===s&&1===a)i=[[1-2*d,2*c*f,0],[-2*c*f,1-2*d,0],[0,0,1]];else{const e=n*n,t=s*s,l=a*a;i=[[1-2*(t+l)*d,2*(n*s*d+a*c*f),2*(n*a*d-s*c*f)],[2*(s*n*d-a*c*f),1-2*(l+e)*d,2*(s*a*d+n*c*f)],[2*(a*n*d+s*c*f),2*(a*s*d-n*c*f),1-2*(e+t)*d]]}return i},perspT=function(e,n,s,a,i){const c=(n*a-s)/(1-a),f=i*a/(1-a);return[f*e[0]/(e[2]+c),f*e[1]/(e[2]+c)]},invperspT=function(e,n,a,i,c,f,d,t){const l=(c*d-f)/(1-d),r=t*d/(1-d),s=e-a,u=n-i,v=r*r,m=l*l,g=s*s,o=u*u,J=(2*r*s*l+sqrt(4*v*g*m+4*g*(v+g+o)*(1-m)))/(2*(v+g+o)),p=r*u*l/(v+g+o)+u*sqrt(4*v*m+4*(v+g+o)*(1-m))/(2*(v+g+o)),h=sqrt(1-J*J-p*p);return[J,p,h]},getVec2VecRotM=function(e,n){const s=cross(e,n),a=acos(dot(e,n));return vec_rotm(-1*a,s[0],s[1],s[2])};function __range__(e,n,s){let a=[],c=e<n,f=s?c?n+1:n-1:n;for(let d=e;c?d<f:d>f;c?d++:d--)a.push(d);return a}const faceToEdges=function(e){const n=[];let[s]=e.slice(-1);for(let a of e)n.push([s,a]),s=a;return n},vertColors=function(e){const n=[];for(let s=0;s<e.faces.length;s++){const a=e.faces[s];for(let i of a)n[i]=e.face_classes[s]}return n},rwb_palette=["#ff7777","#dddddd","#889999","#fff0e5","#aa3333","#ff0000","#ffffff","#aaaaaa"];let PALETTE=rwb_palette;const palette=function(e){const n=e%PALETTE.length;return hextofloats(PALETTE[n])};function hsl2rgb(e,n,s){let a,i,c;if(0==n)a=i=c=s;else{const f=function(e,n,s){return 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i,c;"area"===COLOR_METHOD?(c=a.map(n=>e.vertices[n]),i=s(sigfigs(planararea(c),COLOR_SENSITIVITY),n)):"signature"===COLOR_METHOD?(c=a.map(n=>e.vertices[n]),i=s(faceSignature(c,COLOR_SENSITIVITY),n)):i=a.length-3,e.face_classes.push(i)}return console.log(_.toArray(n).length+" face classes"),e},sortfaces=function(e){const n=e.centers(),s=e.normals(),a=[0,0,(persp_z_max*persp_ratio-persp_z_min)/(1-persp_ratio)],i=_.zip(n,s,__range__(0,e.faces.length,!1)).sort((e,n)=>e[0][2]-n[0][2]).map(e=>e[2]);e.faces=i.map(n=>e.faces[n]),e.face_classes=i.map(n=>e.face_classes[n])};class polyhedron{constructor(e,n,s){this.faces=n||[],this.vertices=e||[],this.name=s||"null polyhedron"}edges(){let n,s,i;const c={},f=this.faces.map(faceToEdges);for(let e of f)for(n of e)n[0]<n[1]?[s,i]=n:[i,s]=n,c[`${s}~${i}`]=n;return _.values(c)}centers(){const e=[];for(let n of this.faces){let s=[0,0,0];for(let e of n)s=add(s,this.vertices[e]);e.push(mult(1/n.length,s))}return e}normals(){const e=[];for(let n of this.faces)e.push(normal(n.map(e=>this.vertices[e])));return e}data(){const e=this.faces.length+this.vertices.length-2;return`${this.faces.length} faces, ${e} edges, ${this.vertices.length} vertices`}moreData(){return`min edge length ${this.minEdgeLength().toPrecision(2)}<br>`+`min face radius ${this.minFaceRadius().toPrecision(2)}`}minEdgeLength(){let n=Number.MAX_VALUE;for(let s of this.edges()){const e=mag2(sub(this.vertices[s[0]],this.vertices[s[1]]));e<n&&(n=e)}return sqrt(n)}minFaceRadius(){let n=Number.MAX_VALUE;const s=this.faces.length,a=this.centers();for(let i=0;i<s;i++){const s=a[i];for(let a of faceToEdges(this.faces[i])){const e=linePointDist2(this.vertices[a[0]],this.vertices[a[1]],s);e<n&&(n=e)}}return sqrt(n)}toOBJ(){let e,n,s="#Produced by polyH\xE9dronisme http://levskaya.github.com/polyhedronisme\n";s+=`group ${this.name}\n`,s+="#vertices\n";for(n of this.vertices)s+=`v ${n[0]} ${n[1]} ${n[2]}\n`;s+="#normal vector defs \n";for(e of this.faces){const n=normal(e.map(e=>this.vertices[e]));s+=`vn ${n[0]} ${n[1]} ${n[2]}\n`}s+="#face defs \n";for(let a=0;a<this.faces.length;a++){e=this.faces[a],s+="f ";for(n of e)s+=`${n+1}//${a+1} `;s+="\n"}return s}toX3D(){let e;const n=.03;let s=`\
<?xml version="1.0" encoding ="UTF-8"?>
<X3D profile="Interchange" version="3.0">
<head>
<component name="Rendering" level="3"/>
<meta name="generator" content="Polyhedronisme"/>
<meta name="version" content="0.1.0"/>
</head>
<Scene>
<Shape>
<IndexedFaceSet normalPerVertex="false" coordIndex="\
`;for(let n of this.faces){for(e of n)s+=`${e} `;s+="-1\n"}s+="\">\n",s+="<Color color=\"";for(let e of vertColors(this)){const n=palette(e);s+=`${n[0]} ${n[1]} ${n[2]} `}s+="\"/>",s+="<Coordinate point=\"";for(e of this.vertices)s+=`${e[0]*n} ${e[1]*n} ${e[2]*n} `;return s+="\"/>\n",s+=`\
</IndexedFaceSet>
</Shape>
</Scene>
</X3D>`,s}toVRML(){let e;const n=.03;let s=`\
#VRML V2.0 utf8
#Generated by Polyhedronisme
NavigationInfo {
	type [ "EXAMINE", "ANY" ]
}
Transform {
  scale 1 1 1
  translation 0 0 0
  children
  [
    Shape
    {
      geometry IndexedFaceSet
      {
        creaseAngle .5
        solid FALSE
        coord Coordinate
        {
          point
          [\
`;for(e of this.vertices)s+=`${e[0]*n} ${e[1]*n} ${e[2]*n},`;s=s.slice(0,-1),s+=`\
    ]
}
color Color
{
  color
  [\
`;for(let e of this.face_classes){const n=palette(e);s+=`${n[0]} ${n[1]} ${n[2]} ,`}s=s.slice(0,-1),s+=`\
  ]
}
colorPerVertex FALSE
coordIndex
[\
`;for(let n of this.faces){for(e of n)s+=`${e}, `;s+="-1,"}return s=s.slice(0,-1),s+=`\
          ]
      }
      appearance Appearance
      {
        material Material
        {
	       ambientIntensity 0.2
	       diffuseColor 0.9 0.9 0.9
	       specularColor .1 .1 .1
	       shininess .5
        }
      }
    }
  ]
}\
`,s}}const tetrahedron=function(){const e=new polyhedron;return e.name="T",e.faces=[[0,1,2],[0,2,3],[0,3,1],[1,3,2]],e.vertices=[[1,1,1],[1,-1,-1],[-1,1,-1],[-1,-1,1]],e},octahedron=function(){const e=new polyhedron;return e.name="O",e.faces=[[0,1,2],[0,2,3],[0,3,4],[0,4,1],[1,4,5],[1,5,2],[2,5,3],[3,5,4]],e.vertices=[[0,0,1.414],[1.414,0,0],[0,1.414,0],[-1.414,0,0],[0,-1.414,0],[0,0,-1.414]],e},cube=function(){const e=new polyhedron;return e.name="C",e.faces=[[3,0,1,2],[3,4,5,0],[0,5,6,1],[1,6,7,2],[2,7,4,3],[5,4,7,6]],e.vertices=[[.707,.707,.707],[-.707,.707,.707],[-.707,-.707,.707],[.707,-.707,.707],[.707,-.707,-.707],[.707,.707,-.707],[-.707,.707,-.707],[-.707,-.707,-.707]],e},icosahedron=function(){const e=new polyhedron;return e.name="I",e.faces=[[0,1,2],[0,2,3],[0,3,4],[0,4,5],[0,5,1],[1,5,7],[1,7,6],[1,6,2],[2,6,8],[2,8,3],[3,8,9],[3,9,4],[4,9,10],[4,10,5],[5,10,7],[6,7,11],[6,11,8],[7,10,11],[8,11,9],[9,11,10]],e.vertices=[[0,0,1.176],[1.051,0,.526],[.324,1,.525],[-.851,.618,.526],[-.851,-.618,.526],[.325,-1,.526],[.851,.618,-.526],[.851,-.618,-.526],[-.325,1,-.526],[-1.051,0,-.526],[-.325,-1,-.526],[0,0,-1.176]],e},dodecahedron=function(){const e=new polyhedron;return e.name="D",e.faces=[[0,1,4,7,2],[0,2,6,9,3],[0,3,8,5,1],[1,5,11,10,4],[2,7,13,12,6],[3,9,15,14,8],[4,10,16,13,7],[5,8,14,17,11],[6,12,18,15,9],[10,11,17,19,16],[12,13,16,19,18],[14,15,18,19,17]],e.vertices=[[0,0,1.07047],[.713644,0,.797878],[-.356822,.618,.797878],[-.356822,-.618,.797878],[.797878,.618034,.356822],[.797878,-.618,.356822],[-.934172,.381966,.356822],[.136294,1,.356822],[.136294,-1,.356822],[-.934172,-.381966,.356822],[.934172,.381966,-.356822],[.934172,-.381966,-.356822],[-.797878,.618,-.356822],[-.136294,1,-.356822],[-.136294,-1,-.356822],[-.797878,-.618034,-.356822],[.356822,.618,-.797878],[.356822,-.618,-.797878],[-.713644,0,-.797878],[0,0,-1.07047]],e},prism=function(e){var n=Math.sin;let s;const a=2*PI/e,c=n(a/2);let f=new polyhedron;for(f.name=`P${e}`,s=0;s<e;s++)f.vertices.push([-cos(s*a),-sin(s*a),-c]);for(s=0;s<e;s++)f.vertices.push([-cos(s*a),-sin(s*a),c]);for(f.faces.push(__range__(e-1,0,!0)),f.faces.push(__range__(e,2*e,!1)),s=0;s<e;s++)f.faces.push([s,(s+1)%e,(s+1)%e+e,s+e]);return f=adjustXYZ(f,1),f},antiprism=function(e){let n;const s=2*PI/e;let a=sqrt(1-4/(4+2*cos(s/2)-2*cos(s))),c=sqrt(1-a*a);const d=sqrt(a*a+pow(c*cos(s/2),2));c=-c/d,a=-a/d;let f=new polyhedron;for(f.name=`A${e}`,n=0;n<e;n++)f.vertices.push([c*cos(n*s),c*sin(n*s),a]);for(n=0;n<e;n++)f.vertices.push([c*cos((n+.5)*s),c*sin((n+.5)*s),-a]);for(f.faces.push(__range__(e-1,0,!0)),f.faces.push(__range__(e,2*e-1,!0)),n=0;n<=e-1;n++)f.faces.push([n,(n+1)%e,n+e]),f.faces.push([n,n+e,(e+n-1)%e+e]);return f=adjustXYZ(f,1),f},pyramid=function(e){let n;const s=2*PI/e;let a=new polyhedron;for(a.name=`Y${e}`,n=0;n<e;n++)a.vertices.push([-cos(n*s),-sin(n*s),-.2]);for(a.vertices.push([0,0,1]),a.faces.push(__range__(e-1,0,!0)),n=0;n<e;n++)a.faces.push([n,(n+1)%e,e]);return a=canonicalXYZ(a,3),a},cupola=function(e,s,a){let c;void 0===e&&(e=3),void 0===s&&(s=0);let f=new polyhedron;if(f.name=`U${e}`,2>e)return f;let d=1/2/sin(PI/2/e),t=1/2/sin(PI/e);for(void 0===a&&(a=d-t,2<=e&&5>=e&&(a=1*sqrt(1-1/4/sin(PI/e)/sin(PI/e)))),c=0;c<3*e;c++)f.vertices.push([0,0,0]);for(c=0;c<e;c++)f.vertices[2*c]=[d*cos(PI*(2*c)/e+PI/2/e+s),d*sin(PI*(2*c)/e+PI/2/e+s),0],f.vertices[2*c+1]=[d*cos(PI*(2*c+1)/e+PI/2/e-s),d*sin(PI*(2*c+1)/e+PI/2/e-s),0],f.vertices[2*e+c]=[t*cos(2*PI*c/e),t*sin(2*PI*c/e),a];for(f.faces.push(__range__(2*e-1,0,!0)),f.faces.push(__range__(2*e,3*e-1,!0)),c=0;c<e;c++)f.faces.push([(2*c+1)%(2*e),(2*c+2)%(2*e),2*e+(c+1)%e]),f.faces.push([2*c,(2*c+1)%(2*e),2*e+(c+1)%e,2*e+c]);return f},anticupola=function(e,s,a){let c;void 0===e&&(e=3),void 0===s&&(s=0);let f=new 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e.name="J85",e.faces=[[13,9,14],[9,13,6],[9,6,3],[11,15,12],[15,11,13],[15,13,14],[4,7,1],[7,4,11],[7,11,12],[6,0,3],[0,6,4],[0,4,1],[2,3,0],[3,2,8],[3,8,9],[5,1,7],[1,5,2],[1,2,0],[10,12,15],[12,10,5],[12,5,7],[8,14,9],[14,8,10],[14,10,15],[13,11,4,6],[2,5,10,8]],e.vertices=[[-.984789,.388776,-.318546],[-.905986,-.50645,-.380955],[-.774402,-.096785,.410496],[-.648503,.795226,.411689],[-.32762,.028199,-.818195],[-.278924,-.81528,.187334],[-.177548,.78687,-.356208],[-.134682,-.843968,-.701432],[-.06669,.257644,.840681],[.229454,.996879,.419536],[.428788,-.460851,.617519],[.523163,-.229235,-.671807],[.55373,-.948137,-.129793],[.673235,.529435,-.20982],[.811213,.353538,.662851],[1.079561,-.235865,.03665]],e},J86:function(){const e=new polyhedron;return e.name="J86",e.faces=[[7,3,2],[2,1,6],[2,3,0],[2,0,1],[1,5,6],[6,5,9],[3,4,0],[4,3,8],[9,7,6],[9,8,7],[7,8,3],[6,7,2],[1,0,4,5],[5,4,8,9]],e.vertices=[[-1.10165,-.110367,-.010645],[-.640942,.825699,.365159],[-.414409,.468967,-.660083],[-.324965,-.634882,-.603383],[-.317654,-.702618,.503439],[.143053,.233445,.879242],[.402426,.84303,-.010043],[.585642,-.008843,-.69593],[.603895,-.925247,-.07178],[1.064602,.010817,.304023]],e},J87:function(){const e=new polyhedron;return e.name="J87",e.faces=[[5,0,1],[9,3,8],[8,6,10],[8,3,2],[8,2,6],[6,5,10],[10,5,7],[3,1,2],[1,3,4],[7,9,10],[7,4,9],[9,4,3],[10,9,8],[6,0,5],[6,2,0],[0,2,1],[5,1,4,7]],e.vertices=[[-.858193,-.792464,.432564],[-.785643,.057917,-.211154],[-.533044,.147795,.823687],[-.229952,.904287,.131849],[-.212337,.637025,-.903062],[-.091064,-.748583,-.310653],[.161537,-.658707,.724189],[.482242,-.169476,-1.002562],[.505859,.352206,.676436],[.693906,.639069,-.336051],[.86669,-.369064,-.025245]],e},J88:function(){const e=new polyhedron;return e.name="J88",e.faces=[[6,7,10],[3,7,1],[3,5,7],[10,11,8],[10,9,11],[1,7,6],[6,10,8],[2,4,0],[11,4,8],[11,9,4],[0,3,1],[0,5,3],[8,2,6],[8,4,2],[2,1,6],[2,0,1],[7,5,9,10],[4,9,5,0]],e.vertices=[[-.710639,-.297668,-.15267],[-.651151,-.105949,.829841],[-.621335,.64788,.169179],[-.614162,-1.052419,.500527],[-.166396,.361269,-.677289],[-.002058,-.993534,-.291612],[.165944,.471894,.764865],[.225836,-.507426,.555374],[.279224,1.020494,-.066987],[.542185,-.334598,-.816231],[.770079,.151511,.030755],[.782476,.638548,-.845752]],e},J89:function(){const e=new polyhedron;return e.name="J89",e.faces=[[9,8,13],[1,8,2],[1,7,8],[13,11,10],[13,12,11],[2,8,9],[9,13,10],[12,6,11],[3,7,1],[4,5,0],[11,5,10],[11,6,5],[0,1,2],[0,3,1],[10,4,9],[10,5,4],[4,2,9],[4,0,2],[8,7,12,13],[3,6,12,7],[5,6,3,0]],e.vertices=[[-.83117,.133549,-.011648],[-.700039,-.806136,-.111242],[-.631074,-.403619,.750934],[-.576095,-.225432,-.857931],[-.446282,.532211,.764918],[-.172487,.817558,-.103263],[.082589,.458576,-.949546],[.105206,-.849768,-.620949],[.145599,-.76155,.32811],[.235014,-.09212,1.001899],[.469795,.739577,.597817],[.750772,.700456,-.313032],[.76389,-.165759,-.712564],[.804283,-.077541,.236495]],e},J90:function(){const e=new polyhedron;return e.name="J90",e.faces=[[13,6,7],[9,15,11],[12,13,7],[15,14,11],[12,10,14],[12,7,5],[12,5,10],[10,5,3],[7,6,2],[5,7,2],[2,6,1],[2,1,0],[10,3,8],[10,8,14],[8,11,14],[8,4,11],[11,4,9],[9,1,6],[4,1,9],[0,1,4],[9,6,13,15],[15,13,12,14],[5,2,0,3],[3,0,4,8]],e.vertices=[[-1.052782,.264006,.098264],[-.753999,-.411397,.610751],[-.732127,-.483215,-.285043],[-.599216,.763406,-.495842],[-.413906,.414477,.712494],[-.278562,.016184,-.879148],[-.105415,-.890983,.213994],[.009423,-.81027,-.673913],[.03966,.913876,.118388],[.101994,-.305887,.864167],[.267869,.713733,-.727747],[.47671,.507934,.790906],[.590474,-.124774,-.697516],[.722293,-.806255,-.126296],[.797883,.460322,-.047343],[.929701,-.221158,.523878]],e},J91:function(){const e=new polyhedron;return e.name="J91",e.faces=[[11,13,12],[7,11,4],[10,7,5],[13,10,9],[3,8,6],[4,3,0],[2,1,0],[9,2,6],[13,11,7,10],[6,2,0,3],[12,13,9,6,8],[11,12,8,3,4],[5,7,4,0,1],[10,5,1,2,9]],e.vertices=[[-.932446,-.071511,.062428],[-.890073,.716495,.434115],[-.483326,.038238,.802122],[-.479875,-.798287,-.104525],[-.363346,-.08879,-.598427],[-.294782,1.186233,.002976],[-.030753,-.688537,.635167],[.030753,.688538,-.635171],[.294779,-1.186232,-.002974],[.363347,.088791,.598425],[.479874,.79829,.104525],[.483327,-.038241,-.802125],[.890072,-.716499,-.434115],[.932449,.071511,-.062429]],e},J92:function(){const e=new polyhedron;return e.name="J92",e.faces=[[12,11,4],[11,6,4],[6,11,15],[13,15,17],[5,13,8],[2,5,8],[2,8,9],[7,9,14],[16,14,17],[3,0,7],[3,1,0],[1,3,10],[12,10,16],[6,15,13,5],[2,9,7,0],[12,4,1,10],[11,12,16,17,15],[8,13,17,14,9],[16,10,3,7,14],[1,4,6,5,2,0]],e.vertices=[[-.748928,.557858,-.030371],[-.638635,.125804,-.670329],[-.593696,.259282,.67329],[-.427424,.876636,-.665507],[-.373109,-.604827,-.606627],[-.32817,-.471348,.736992],[-.217876,-.903403,.097033],[-.141658,1.042101,.041134],[-.021021,.094954,1.176701],[.013575,.743525,.744795],[.036802,.343022,-.994341],[.267732,-1.036179,-.498733],[.302328,-.387609,-.93064],[.443205,-.438661,.847867],[.499183,.610749,.149029],[.553499,-.870715,.207908],[.609478,.178694,-.490931],[.76471,-.119883,.212731]],e}};const johnson=function(e){return 0<e&&92>=e?johnson_polyhedra[`J${e}`]():new polyhedron},MAX_FACE_SIDEDNESS=1e3;class polyflag{constructor(){this.flags={},this.vertidxs={},this.vertices={}}newV(e,n){this.vertidxs[e]===void 0&&(this.vertidxs[e]=0,this.vertices[e]=n)}newFlag(e,n,s){this.flags[e]===void 0&&(this.flags[e]={}),this.flags[e][n]=s}topoly(){let e,n;const s=new polyhedron;let a=0;for(e in this.vertidxs)n=this.vertidxs[e],s.vertices[a]=this.vertices[e],this.vertidxs[e]=a,a++;for(e in a=0,this.flags){var c;const i=this.flags[e];for(let e in s.faces[a]=[],i){c=i[e];break}n=c,s.faces[a].push(this.vertidxs[n]),n=this.flags[e][n];for(let i=0;n!==c;)if(s.faces[a].push(this.vertidxs[n]),n=this.flags[e][n],i++,i>MAX_FACE_SIDEDNESS){console.log("Bad flag spec, have a neverending face:",e,this.flags[e]);break}a++}return s.name="unknown polyhedron",s}}const midName=(e,n)=>e<n?e+"_"+n:n+"_"+e,kisN=function(e,s,a){let c;s||(s=0),void 0===a&&(a=.1),console.log(`Taking kis of ${0===s?"":s}-sided faces of ${e.name}...`);const d=new polyflag;for(c=0;c<e.vertices.length;c++){const n=e.vertices[c];d.newV(`v${c}`,n)}const t=e.normals(),l=e.centers();let r=!1;for(c=0;c<e.faces.length;c++){const n=e.faces[c];let i=`v${n[n.length-1]}`;for(let e of n){const f=`v${e}`;if(n.length===s||0===s){r=!0;const e=`apex${c}`,n=`${c}${i}`;d.newV(e,add(l[c],mult(a,t[c]))),d.newFlag(n,i,f),d.newFlag(n,f,e),d.newFlag(n,e,i)}else d.newFlag(`${c}`,i,f);i=f}}r||console.log(`No ${s}-fold components were found.`);const u=d.topoly();return u.name=`k${0===s?"":s}${e.name}`,u},ambo=function(e){console.log(`Taking ambo of ${e.name}...`);const n=new polyflag;for(let s=0;s<e.faces.length;s++){const a=e.faces[s];let[i,c]=a.slice(-2);for(let f of a)i<c&&n.newV(midName(i,c),midpoint(e.vertices[i],e.vertices[c])),n.newFlag(`orig${s}`,midName(i,c),midName(c,f)),n.newFlag(`dual${c}`,midName(c,f),midName(i,c)),[i,c]=[c,f]}const s=n.topoly();return s.name=`a${e.name}`,s},gyro=function(e){let n,s,a;console.log(`Taking gyro of ${e.name}...`);const c=new polyflag;for(s=0;s<e.vertices.length;s++)a=e.vertices[s],c.newV(`v${s}`,unit(a));const d=e.centers();for(s=0;s<e.faces.length;s++)n=e.faces[s],c.newV(`center${s}`,unit(d[s]));for(s=0;s<e.faces.length;s++){n=e.faces[s];let[i,f]=n.slice(-2);for(let d=0;d<n.length;d++){a=n[d];const t=a;c.newV(i+"~"+f,oneThird(e.vertices[i],e.vertices[f]));const l=s+"f"+i;c.newFlag(l,`center${s}`,i+"~"+f),c.newFlag(l,i+"~"+f,f+"~"+i),c.newFlag(l,f+"~"+i,`v${f}`),c.newFlag(l,`v${f}`,f+"~"+t),c.newFlag(l,f+"~"+t,`center${s}`),[i,f]=[f,t]}}const t=c.topoly();return t.name=`g${e.name}`,t},propellor=function(e){let n,s;console.log(`Taking propellor of ${e.name}...`);const a=new polyflag;for(n=0;n<e.vertices.length;n++)s=e.vertices[n],a.newV(`v${n}`,unit(s));for(n=0;n<e.faces.length;n++){const i=e.faces[n];let[c,f]=i.slice(-2);for(s of i){const i=`${s}`;a.newV(c+"~"+f,oneThird(e.vertices[c],e.vertices[f]));const d=`${n}f${f}`;a.newFlag(`v${n}`,c+"~"+f,f+"~"+i),a.newFlag(d,c+"~"+f,f+"~"+c),a.newFlag(d,f+"~"+c,`v${f}`),a.newFlag(d,`v${f}`,f+"~"+i),a.newFlag(d,f+"~"+i,c+"~"+f),[c,f]=[f,i]}}const c=a.topoly();return c.name=`p${e.name}`,c},reflect=function(e){let n;for(console.log(`Taking reflection of ${e.name}...`),n=0;n<=e.vertices.length-1;n++)e.vertices[n]=mult(-1,e.vertices[n]);for(n=0;n<=e.faces.length-1;n++)e.faces[n]=e.faces[n].reverse();return e.name=`r${e.name}`,e},dual=function(e){let n,s,a,c;console.log(`Taking dual of ${e.name}...`);const d=new polyflag,t=[];for(s=0;s<=e.vertices.length-1;s++)t[s]={};for(s=0;s<e.faces.length;s++){n=e.faces[s],a=n[n.length-1];for(c of n)t[a][`v${c}`]=`${s}`,a=c}const l=e.centers();for(s=0;s<=e.faces.length-1;s++)d.newV(`${s}`,l[s]);for(s=0;s<e.faces.length;s++){n=e.faces[s],a=n[n.length-1];for(c of n)d.newFlag(a,t[c][`v${a}`],`${s}`),a=c}const r=d.topoly(),u=[];for(n of r.faces){const s=intersect(e.faces[n[0]],e.faces[n[1]],e.faces[n[2]]);u[s]=n}return r.faces=u,r.name="d"===e.name[0]?e.name.slice(1):`d${e.name}`,r},chamfer=function(e,n){console.log(`Taking chamfer of ${e.name}...`),n||(n=.5);const s=new polyflag,a=e.normals();for(let c=0;c<e.faces.length;c++){const i=e.faces[c];let f=i[i.length-1],d=c+"_"+f;for(let t of i){s.newV(t,mult(1+n,e.vertices[t]));const i=c+"_"+t;s.newV(i,add(e.vertices[t],mult(1.5*n,a[c]))),s.newFlag(`orig${c}`,d,i);const l=f<t?`hex${f}_${t}`:`hex${t}_${f}`;s.newFlag(l,t,i),s.newFlag(l,i,d),s.newFlag(l,d,f),f=t,d=i}}const i=s.topoly();return i.name=`c${e.name}`,i},whirl=function(e,s){let a,c;console.log(`Taking whirl of ${e.name}...`),s||(s=0);const d=new polyflag;for(a=0;a<e.vertices.length;a++)c=e.vertices[a],d.newV(`v${a}`,unit(c));const t=e.centers();for(a=0;a<e.faces.length;a++){const n=e.faces[a];let[s,i]=n.slice(-2);for(let f=0;f<n.length;f++){c=n[f];const l=c,r=oneThird(e.vertices[s],e.vertices[i]);d.newV(s+"~"+i,r);const u=`center${a}~${s}`,v=`center${a}~${i}`;d.newV(u,unit(oneThird(t[a],r)));const m=a+"f"+s;d.newFlag(m,u,s+"~"+i),d.newFlag(m,s+"~"+i,i+"~"+s),d.newFlag(m,i+"~"+s,`v${i}`),d.newFlag(m,`v${i}`,i+"~"+l),d.newFlag(m,i+"~"+l,v),d.newFlag(m,v,u),d.newFlag(`c${a}`,u,v),[s,i]=[i,l]}}const l=d.topoly();return l.name=`w${e.name}`,l},quinto=function(e){console.log(`Taking quinto of ${e.name}...`);const n=new polyflag;for(let s=0;s<e.faces.length;s++){const a=e.faces[s];centroid=calcCentroid(a.map(n=>e.vertices[n]));let[i,c]=a.slice(-2);for(let f of a)midpt=midpoint(e.vertices[i],e.vertices[c]),innerpt=midpoint(midpt,centroid),n.newV(midName(i,c),midpt),n.newV(`inner_${s}_`+midName(i,c),innerpt),n.newV(`${c}`,e.vertices[c]),n.newFlag(`f${s}_${c}`,`inner_${s}_`+midName(i,c),midName(i,c)),n.newFlag(`f${s}_${c}`,midName(i,c),`${c}`),n.newFlag(`f${s}_${c}`,`${c}`,midName(c,f)),n.newFlag(`f${s}_${c}`,midName(c,f),`inner_${s}_`+midName(c,f)),n.newFlag(`f${s}_${c}`,`inner_${s}_`+midName(c,f),`inner_${s}_`+midName(i,c)),n.newFlag(`f_in_${s}`,`inner_${s}_`+midName(i,c),`inner_${s}_`+midName(c,f)),[i,c]=[c,f]}const s=n.topoly();return s.name=`q${e.name}`,s},insetN=function(e,s,a,c){let d,t,l;s||(s=0),void 0===a&&(a=.5),void 0===c&&(c=-.2),console.log(`Taking inset of ${0===s?"":s}-sided faces of ${e.name}...`);const r=new polyflag;for(t=0;t<e.vertices.length;t++){const n=e.vertices[t];r.newV(`v${t}`,n)}const u=e.normals(),m=e.centers();for(t=0;t<e.faces.length;t++)if(d=e.faces[t],d.length===s||0===s)for(l of d)r.newV(`f${t}v${l}`,add(tween(e.vertices[l],m[t],a),mult(c,u[t])));let g=!1;for(t=0;t<e.faces.length;t++){d=e.faces[t];let n=`v${d[d.length-1]}`;for(l of d){const e=`v${l}`;if(d.length===s||0===s){g=!0;const s=t+n;r.newFlag(s,n,e),r.newFlag(s,e,`f${t}${e}`),r.newFlag(s,`f${t}${e}`,`f${t}${n}`),r.newFlag(s,`f${t}${n}`,n),r.newFlag(`ex${t}`,`f${t}${n}`,`f${t}${e}`)}else r.newFlag(t,n,e);n=e}}g||console.log(`No ${s}-fold components were found.`);const o=r.topoly();return o.name=`n${0===s?"":s}${e.name}`,o},extrudeN=function(e,s){const n=insetN(e,s,0,.3);return n.name=`x${0===s?"":s}${e.name}`,n},loft=function(e,s,n){const a=insetN(e,s,n,0);return a.name=`l${0===s?"":s}${e.name}`,a},hollow=function(e,n,s){let a,c,d;void 0===n&&(n=.5),void 0===s&&(s=.2),console.log(`Hollowing ${e.name}...`);const t=dual(e).normals(),l=e.normals(),r=e.centers(),u=new polyflag;for(c=0;c<e.vertices.length;c++){const n=e.vertices[c];u.newV(`v${c}`,n),u.newV(`downv${c}`,add(n,mult(-1*s,t[c])))}for(c=0;c<e.faces.length;c++){a=e.faces[c];for(d of a)u.newV(`fin${c}v${d}`,tween(e.vertices[d],r[c],n)),u.newV(`findown${c}v${d}`,add(tween(e.vertices[d],r[c],n),mult(-1*s,l[c])))}for(c=0;c<e.faces.length;c++){a=e.faces[c];let n=`v${a[a.length-1]}`;for(d of a){const e=`v${d}`;let s=c+n;u.newFlag(s,n,e),u.newFlag(s,e,`fin${c}${e}`),u.newFlag(s,`fin${c}${e}`,`fin${c}${n}`),u.newFlag(s,`fin${c}${n}`,n),s=`sides${c}${n}`,u.newFlag(s,`fin${c}${n}`,`fin${c}${e}`),u.newFlag(s,`fin${c}${e}`,`findown${c}${e}`),u.newFlag(s,`findown${c}${e}`,`findown${c}${n}`),u.newFlag(s,`findown${c}${n}`,`fin${c}${n}`),s=`bottom${c}${n}`,u.newFlag(s,`down${e}`,`down${n}`),u.newFlag(s,`down${n}`,`findown${c}${n}`),u.newFlag(s,`findown${c}${n}`,`findown${c}${e}`),u.newFlag(s,`findown${c}${e}`,`down${e}`),n=e}}const m=u.topoly();return m.name=`H${e.name}`,m},perspectiva1=function(e){let n;console.log(`Taking stella of ${e.name}...`);const s=e.centers(),a=new polyflag;for(n=0;n<e.vertices.length;n++){const s=e.vertices[n];a.newV(`v${n}`,s)}for(n=0;n<e.faces.length;n++){const i=e.faces[n];let c=`v${i[i.length-2]}`,f=`v${i[i.length-1]}`,d=e.vertices[i[i.length-2]],t=e.vertices[i[i.length-1]];for(let l of i){const i=`v${l}`,r=e.vertices[l],u=c+"~"+f,v=f+"~"+c,m=f+"~"+i;a.newV(u,midpoint(midpoint(d,t),s[n])),a.newFlag(`in${n}`,u,m),a.newFlag(`f${n}${f}`,m,u),a.newFlag(`f${n}${f}`,u,f),a.newFlag(`f${n}${f}`,f,m),a.newFlag(`f${u}`,c,v),a.newFlag(`f${u}`,v,u),a.newFlag(`f${u}`,u,c),[c,f]=[f,i],[d,t]=[t,r]}}const c=a.topoly();return c.name=`P${e.name}`,c},trisub=function(e,s){console.log(`Taking trisub of ${e.name}...`),s||(s=2);for(let n=0;n<e.faces.length;n++)if(3!=e.faces[n].length)return e;let a=[],c={},f=0;for(let n=0;n<e.faces.length;n++){const i=e.faces[n];let[d,t,l]=i.slice(-3);v1=e.vertices[d],v2=e.vertices[t],v3=e.vertices[l],v21=sub(v2,v1),v31=sub(v3,v1);for(let e=0;e<=s;e++)for(let i,d=0;d+e<=s;d++)i=add(add(v1,mult(1*e/s,v21)),mult(1*d/s,v31)),c[`v${n}-${e}-${d}`]=f++,a.push(i)}let d=[],t=0,l={};for(const[n,i]of a.entries())if(!(n in l)){l[n]=t,d.push(i);for(let e=n+1;e<a.length;e++)w=a[e],mag(sub(i,w))<1e-8&&(l[e]=t);t++}let r=[];for(fn=0;fn<e.faces.length;fn++){for(let e=0;e<s;e++)for(let n=0;n+e<s;n++)r.push([l[c[`v${fn}-${e}-${n}`]],l[c[`v${fn}-${e+1}-${n}`]],l[c[`v${fn}-${e}-${n+1}`]]]);for(let e=1;e<s;e++)for(let n=0;n+e<s;n++)r.push([l[c[`v${fn}-${e}-${n}`]],l[c[`v${fn}-${e}-${n+1}`]],l[c[`v${fn}-${e-1}-${n+1}`]]])}const u=new polyhedron;return u.name=`u${s}${e.name}`,u.faces=r,u.vertices=d,u},tangentify=function(e,n){const s=copyVecArray(e);for(let a of n){const e=tangentPoint(s[a[0]],s[a[1]]),n=mult(1*.1/2*(1-sqrt(dot(e,e))),e);s[a[0]]=add(s[a[0]],n),s[a[1]]=add(s[a[1]],n)}return s},recenter=function(e,n){const s=n.map(([n,s])=>tangentPoint(e[n],e[s]));let a=[0,0,0];for(let i of s)a=add(a,i);return a=mult(1/n.length,a),_.map(e,e=>sub(e,a))},rescale=function(e){const n=_.max(_.map(e,e=>mag(e))),a=1/n;return _.map(e,e=>[a*e[0],a*e[1],a*e[2]])},planarize=function(e,n){let s;const a=copyVecArray(e);for(var i of n){const f=i.map(n=>e[n]);let d=normal(f);const n=calcCentroid(f);0>dot(d,n)&&(d=mult(-1,d));for(s of i)a[s]=add(a[s],mult(dot(mult(.1,d),sub(n,e[s])),d))}return a},canonicalize=function(e,n){n||(n=1),console.log(`Canonicalizing ${e.name}...`);const s=e.faces,a=e.edges();let i=e.vertices,c=1;for(let f=0;f<=n;f++){const e=copyVecArray(i);if(i=tangentify(i,a),i=recenter(i,a),i=planarize(i,s),c=_.max(_.map(_.zip(i,e),([e,n])=>mag(sub(e,n)))),1e-8>c)break}console.log(`[canonicalization done, last |deltaV|=${c}]`);const f=new polyhedron(i,e.faces,e.name);return console.log("canonicalize",f),f},reciprocalC=function(e){const n=e.centers();for(let s of n)s=mult(1/dot(s,s),s);return n},reciprocalN=function(e){const n=[];for(let s of e.faces){let a=[0,0,0],i=[0,0,0],c=0,[f,d]=s.slice(-2);for(let n of s)a=add(a,e.vertices[n]),i=add(i,orthogonal(e.vertices[f],e.vertices[d],e.vertices[n])),c+=edgeDist(e.vertices[f],e.vertices[d]),[f,d]=[d,n];a=mult(1/s.length,a),i=unit(i),c/=s.length;const t=reciprocal(mult(dot(a,i),i));n.push(mult((1+c)/2,t))}return n},canonicalXYZ=function(e,n){n||(n=1);const s=dual(e);console.log(`Pseudo-canonicalizing ${e.name}...`);for(let a=0,i=n;a<i;a++)s.vertices=reciprocalN(e),e.vertices=reciprocalN(s);return new polyhedron(e.vertices,e.faces,e.name)},adjustXYZ=function(e,n){n||(n=1);const s=dual(e);console.log(`Planarizing ${e.name}...`);for(let a=0,i=n;a<i;a++)s.vertices=reciprocalC(e),e.vertices=reciprocalC(s);return new polyhedron(e.vertices,e.faces,e.name)};function __range__(e,n,s){let a=[],c=e<n,f=s?c?n+1:n-1:n;for(let d=e;c?d<f:d>f;c?d++:d--)a.push(d);return a}const getDiagonals=function(e){let s,a;const i=[],c=[];let f=e.length;const d=(e,n)=>(e||n)&&!(e&&n),t=(e,n,s)=>(n[0]-e[0])*(s[1]-e[1])-(s[0]-e[0])*(n[1]-e[1]),l=(e,n,s)=>0<t(e,n,s),r=(e,n,s)=>0<=t(e,n,s),u=(e,n,s)=>0===t(e,n,s),v=function(e,n,s){return!u(e,n,s)&&(e[0]===n[0]?e[1]<=s[1]&&s[1]<=n[1]||e[1]>=s[1]&&s[1]>=n[1]:e[0]<=s[0]&&s[0]<=n[0]||e[0]>=s[0]&&s[0]>=n[0])},m=function(e,n,s,a){return!(u(e,n,s)||u(e,n,a)||u(s,a,e)||u(s,a,n))&&d(l(e,n,s),l(e,n,a))&&d(l(s,a,e),l(s,a,n))},g=function(n,s){const a=(n+1+f)%f,i=(n-1+f)%f;return r(e[n],e[a],e[i])?l(e[n],e[s],e[i])&&l(e[s],e[n],e[a]):!(r(e[n],e[s],e[a])&&r(e[s],e[n],e[i]))},o=function(n,s){for(let a=0;;){const i=(a+1+f)%f;if(a!==n&&i!==n&&a!==s&&i!==s&&m(e[n],e[s],e[a],e[i]))return!1;if(a=(a+1+f)%f,0===a)break}return!0},J=(e,n)=>g(e,n)&&g(n,e)&&o(e,n);let p=0;for(;a=(p+1+f)%f,s=(p-1+f)%f,c[p]=J(s,a),p=(p+1+f)%f,0!=p;);let h=__range__(0,f-1,!0),F=f,k=999,V=0;for(;0<k&&3<F;){k-=1,a=V;for(let n=999;;){n-=1;let d=!1;if(c[a]){let n=(a+1+f)%f,t=(n+1+f)%f;p=(a-1+f)%f,s=(p-1+f)%f,i.push([h[p],h[n]]),c[p]=J(s,n),c[n]=J(p,t),e=e.slice(0,+a+1||void 0).concat(e.slice(n)),h=h.slice(0,+a+1||void 0).concat(h.slice(n)),s>a&&(s-=1),p>a&&(p-=1),n>a&&(n-=1),t>a&&(t-=1),f--,V=n,F--,d=!0}if(a=(a+1+f)%f,0>=n||!!d||a===V)break}}return i},triEq=function(e,n){return!((e[0]!==n[0]||e[1]!==n[1]||e[2]!==n[2])&&(e[0]!==n[1]||e[1]!==n[2]||e[2]!==n[0])&&(e[0]!==n[2]||e[1]!==n[0]||e[2]!==n[1]))},diagsToTris=function(e,n){let s;const a=[],i=[];for(let[s,c]of __range__(0,e.length-1,!0).map(n=>[n,(n+1)%e.length]))a[s]=[c],i[c]=[s];for(s of n)a[s[0]].push(s[1]),a[s[1]].push(s[0]),i[s[0]].push(s[1]),i[s[1]].push(s[0]);const c=[];for(s of n){var f,t;for(f of a[s[1]])for(t of i[s[0]])f===t&&c.push([s[0],s[1],f]);for(f of a[s[0]])for(t of i[s[1]])f===t&&c.push([s[1],s[0],f])}const l=[c.pop()];for(let s of c){let e=!1;for(let n of l)if(triEq(s,n)){e=!0;break}e||l.push(s)}return l},triangulate=function(e,n){n=n||!1,console.log(`Triangulating faces of ${e.name}...`);const s=new polyhedron;s.vertices=clone(e.vertices),s.face_classes=[];for(let a=0;a<e.faces.length;a++){const i=e.faces[a];if(3<i.length){const c=project2dface(i.map(n=>e.vertices[n])),f=getDiagonals(c),d=diagsToTris(i,f);for(let c=0;c<d.length;c++){const f=d[c];s.faces.push([i[f[0]],i[f[1]],i[f[2]]]),n&&s.face_classes.push(e.face_classes[a])}}else s.faces.push([i[0],i[1],i[2]]),n&&s.face_classes.push(e.face_classes[a])}return s.name=e.name,s},topolog=function(e){let n="";for(let s of e.faces){n+=`${s.length}: `;for(let e of s)n+=`${e}->`;n+="\n"}console.log(n)},testrig=function(){const e=["T","O","C","I","D","P3","P4","A4","A5","Y3","Y4"],n=["k","a","g","p","d","r","e","b","o","m","t","j","s","p","c","w","l","n","x","Z","H"];console.log("===== Test Basic Ops =====");for(let s of n){console.log(`Operator ${s}`);for(let n of e)console.log(s+n+":",newgeneratePoly(s+n))}console.log("===== Done Testing Basic Ops =====")},PEG_parser_spec=`\
/* series of opspecs */
start  = opspec+

/* opspec one of:
 A  - single letter
 A3 - single letter and float
 B(5,4.3,3) - function call format w. float args
*/
opspec =
   let:opcode args:opargs {return {"op":let,"args":args};}
/ let:opcode float:float     {return {"op":let,"args":[float]};}
/ let:opcode                     {return {"op":let,"args":[]};}

/*
parentheses surrounding comma-delimited list of floats i.e.
( 1 , 3.2, 4 ) or (1) or (2,3)
*/
opargs = "("
           num:( float:float ","? {return float} )+
         ")" {return num;}

/* just a letter */
opcode = op:[a-zA-Z] {return op;}

/* standard numerical types */
int   = digits:[0-9-]+   { return parseInt(digits.join(""), 10);  }
float = digits:[0-9.-]+  { return parseFloat(digits.join(""), 10); }\
`,op_parser=PEG.buildParser(PEG_parser_spec),dispatch=function(e,n){return e.apply(this,n||[])},basemap={T:tetrahedron,O:octahedron,C:cube,I:icosahedron,D:dodecahedron,P:prism,A:antiprism,Y:pyramid,J:johnson,U:cupola,V:anticupola},opmap={d:dual,a:ambo,k:kisN,g:gyro,p:propellor,r:reflect,c:chamfer,w:whirl,n:insetN,x:extrudeN,l:loft,P:perspectiva1,q:quinto,u:trisub,H:hollow,Z:triangulate,C:canonicalize,A:adjustXYZ},specreplacements=[[/e/g,"aa"],[/b/g,"ta"],[/o/g,"jj"],[/m/g,"kj"],[/t(\d*)/g,"dk$1d"],[/j/g,"dad"],[/s/g,"dgd"],[/dd/g,""],[/ad/g,"a"],[/gd/g,"g"],[/aO/g,"aC"],[/aI/g,"aD"],[/gO/g,"gC"],[/gI/g,"gD"]],getOps=function(e){let n=e;for(let[s,a]of specreplacements)n=n.replace(s,a);return console.log(`${e} executed as ${n}`),n},newgeneratePoly=function(e){const n=getOps(e),s=op_parser.parse(n).reverse();let a=s.shift();const i=basemap[a.op],c=a.args;let f=dispatch(i,c);for(a of s){const e=opmap[a.op],n=[f].concat(a.args);f=dispatch(e,n)}return f.vertices=recenter(f.vertices,f.edges()),f.vertices=rescale(f.vertices),f=paintPolyhedron(f),f};let ctx={},globPolys={};const CANVAS_WIDTH=720,CANVAS_HEIGHT=500;let globRotM=clone(eye3),globLastRotM=clone(eye3),perspective_scale=800;const persp_z_max=5,persp_z_min=0,persp_ratio=.8,_2d_x_offset=360,_2d_y_offset=CANVAS_HEIGHT/2,BG_CLEAR=!0,BG_COLOR="rgba(255,255,255,1.0)";let COLOR_METHOD="signature",COLOR_SENSITIVITY=2;const ctx_linewidth=.5;let PaintMode="fillstroke",MOUSEDOWN=!1,LastMouseX=0,LastMouseY=0,LastSphVec=[1,0,0];const DEFAULT_RECIPES=["C2dakD","oC20kkkT","kn4C40A0dA4","opD","lT","lK5oC","knD","dn6x4K5bT","oox4P7","qqJ37","aobD","qaxI"],saveText=function(e,n){const s=new Blob([e],{type:`text/plain;charset=${document.characterSet}`});saveAs(s,n)},parseurl=function(){let n;const s={},i=/\+/g,a=/([^&=]+)=?([^&]*)/g,c=e=>decodeURIComponent(e.replace(i," ")),f=window.location.search.substring(1);for(;n=a.exec(f);)s[c(n[1])]=c(n[2]);return s},setlink=function(){const e=$("#spec").val().split(/\s+/g).slice(0,2);let n=location.protocol+"//"+location.host+location.pathname;n+=`?recipe=${encodeURIComponent(e[0])}`,PALETTE!==rwb_palette&&(n+=`&palette=${encodeURIComponent(PALETTE.reduce((e,n)=>e+" "+n))}`),$("#link").attr("href",n)},init=function(){const e=$("#poly");e.width(CANVAS_WIDTH),e.height(CANVAS_HEIGHT),ctx=e[0].getContext("2d"),ctx.lineWidth=ctx_linewidth,BG_CLEAR?ctx.clearRect(0,0,CANVAS_WIDTH,CANVAS_HEIGHT):(ctx.clearRect(0,0,CANVAS_WIDTH,CANVAS_HEIGHT),ctx.fillStyle=BG_COLOR,ctx.fillRect(0,0,CANVAS_WIDTH,CANVAS_HEIGHT));const n=$("#expandcollapse");n.click(function(){/minus/.test(n.attr("src"))?($("#morestats").hide(),n.attr("src","media/plus.png")):($("#morestats").show(),n.attr("src","media/minus.png"))})},clear=function(){BG_CLEAR?ctx.clearRect(0,0,CANVAS_WIDTH,CANVAS_HEIGHT):(ctx.clearRect(0,0,CANVAS_WIDTH,CANVAS_HEIGHT),ctx.fillStyle=BG_COLOR,ctx.fillRect(0,0,CANVAS_WIDTH,CANVAS_HEIGHT))},drawpoly=function(e,n){let s;n||(n=[3,3,3]);const a=_.map(e.vertices,e=>e);e.vertices=_.map(e.vertices,e=>mv3(globRotM,e)),sortfaces(e);for(let a=0;a<e.faces.length;a++){var i=e.faces[a];ctx.beginPath();const c=i[i.length-1];let[f,d]=perspT(add(n,e.vertices[c]),persp_z_max,persp_z_min,persp_ratio,perspective_scale);ctx.moveTo(f+_2d_x_offset,d+_2d_y_offset);for(s of i)[f,d]=perspT(add(n,e.vertices[s]),persp_z_max,persp_z_min,persp_ratio,perspective_scale),ctx.lineTo(f+_2d_x_offset,d+_2d_y_offset);let t=palette(e.face_classes[a]);const l=i.map(n=>e.vertices[n]),r=dot(normal(l),unit([1,-1,0]));t=mult(.7*(r/2+.5)+.3,t),("fill"==PaintMode||"fillstroke"==PaintMode)&&(ctx.fillStyle=`rgba(${round(255*t[0])}, ${round(255*t[1])}, ${round(255*t[2])}, ${1})`,ctx.fill(),ctx.strokeStyle=`rgba(${round(255*t[0])}, ${round(255*t[1])}, ${round(255*t[2])}, ${1})`,ctx.stroke()),"fillstroke"==PaintMode&&(ctx.fillStyle=`rgba(${round(255*t[0])}, ${round(255*t[1])}, ${round(255*t[2])}, ${1})`,ctx.fill(),ctx.strokeStyle="rgba(0,0,0,0.3)",ctx.stroke()),"stroke"==PaintMode&&(ctx.strokeStyle="rgba(0,0,0,0.8)",ctx.stroke())}e.vertices=a},drawShape=function(){clear(),globPolys.map((e,n)=>drawpoly(e,[0+3*n,0,3]))},updateStats=function(){for(let e=0;e<globPolys.length;e++){const n=globPolys[e];$("#basicstats").html(n.data()),$("#morestats").html(n.moreData())}};$(function(){init();const e=parseurl();"recipe"in e?(specs=[e.recipe],$("#spec").val(specs)):(specs=[randomchoice(DEFAULT_RECIPES)],$("#spec").val(specs),setlink()),"palette"in e&&(PALETTE=e.palette.split(/\s+/g),setlink()),$("#palette").val(PALETTE.reduce((e,n)=>e+" "+n)),globPolys=_.map(specs,e=>newgeneratePoly(e)),updateStats(),drawShape(),$("#spec").change(function(){specs=$("#spec").val().split(/\s+/g).slice(0,2),globPolys=_.map(specs,e=>newgeneratePoly(e)),updateStats(),setlink(),drawShape()}),$("#palette").change(function(){PALETTE=$(this).val().split(/\s+/g),setlink(),drawShape()}),$("#rndcolors").click(function(){let e=rndcolors();PALETTE=e,$("#palette").val(e.join(" ")),setlink(),drawShape()}),$("#poly").mousewheel(function(n,e){n.preventDefault(),perspective_scale*=(10+e)/10,drawShape()}),$("#poly").mousedown(function(n){n.preventDefault(),MOUSEDOWN=!0,LastMouseX=n.clientX-$(this).offset().left,LastMouseY=n.clientY-($(this).offset().top-$(window).scrollTop());const e=invperspT(LastMouseX,LastMouseY,_2d_x_offset,_2d_y_offset,persp_z_max,persp_z_min,persp_ratio,perspective_scale);0==0*(e[0]*e[1]*e[2])&&(LastSphVec=e),globLastRotM=clone(globRotM)}),$("#poly").mouseup(function(n){n.preventDefault(),MOUSEDOWN=!1}),$("#poly").mouseleave(function(n){n.preventDefault(),MOUSEDOWN=!1}),$("#poly").mousemove(function(n){if(n.preventDefault(),MOUSEDOWN){const e=n.clientX-$(this).offset().left,s=n.clientY-($(this).offset().top-$(window).scrollTop()),a=invperspT(e,s,_2d_x_offset,_2d_y_offset,persp_z_max,persp_z_min,persp_ratio,perspective_scale);0==0*(a[0]*a[1]*a[2])&&0==0*(LastSphVec[0]*LastSphVec[1]*LastSphVec[2])&&(globRotM=mm3(getVec2VecRotM(LastSphVec,a),globLastRotM)),drawShape()}}),$("#strokeonly").click(function(){PaintMode="stroke",drawShape()}),$("#fillonly").click(function(){PaintMode="fill",drawShape()}),$("#fillandstroke").click(function(){PaintMode="fillstroke",drawShape()}),$("#siderot").click(function(){globRotM=vec_rotm(PI/2,0,1,0),drawShape()}),$("#toprot").click(function(){globRotM=vec_rotm(PI/2,1,0,0),drawShape()}),$("#frontrot").click(function(){globRotM=rotm(0,0,0),drawShape()}),$("#pngsavebutton").click(function(){const e=$("#poly")[0],n=$("#spec").val().split(/\s+/g)[0],s=`polyhedronisme-${n.replace(/\([^\)]+\)/g,"")}.png`;e.toBlobHD(e=>saveAs(e,s))}),$("#objsavebutton").click(function(){const e=globPolys[0].toOBJ(),n=$("#spec").val().split(/\s+/g)[0],s=`polyhedronisme-${n.replace(/\([^\)]+\)/g,"")}.obj`;saveText(e,s)}),$("#x3dsavebutton").click(function(){const e=triangulate(globPolys[0],!0),n=e.toVRML(),s=$("#spec").val().split(/\s+/g)[0],a=`polyhedronisme-${s.replace(/\([^\)]+\)/g,"")}.wrl`;saveText(n,a)})});