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openscad.js
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openscad.js
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// openscad.js, a few functions to simplify coding OpenSCAD-like
//
// Copyright (c) 2013-2015 by Rene K. Mueller <[email protected]>
//
// Version: 0.023
// License: MIT License
//
// Description:
// Helping to convert OpenSCAD .scad files to OpenJSCad .jscad files with
// little editing, can be used at
// http://joostn.github.com/OpenJsCad/processfile.html
//
// and has been integrated at
// http://openjscad.org/
//
// History:
// 2015/02/15: 0.023: change license from GPL to MIT license, for sake of simpleness, pull request for mirror() fix (github issue #65) included
// 2015/01/07: 0.022: cylinder() supports d, d1 & d2 to be OpenSCAD-like (github issue #61)
// 2013/04/26: 0.021: sphere() geodesic option added
// 2013/04/25: 0.020: center(v,obj) added, uses new .center(v)
// 2013/04/22: 0.019: vector_char() and vector_text() added, vector font rendering
// 2013/04/11: 0.018: added alpha support to AMF export
// 2013/04/09: 0.017: added color()
// 2013/04/08: 0.016: added hull() which takes multiple 2d polygons (CAG)
// 2013/04/08: 0.015: individual center: [true,false,true] possible for cube(), sphere() and cylinder()
// 2013/04/05: 0.014: parseAMF(), experimental parseOBJ() and parseGCode()
// 2013/04/04: 0.013: cube({round: true}), cylinder({round: true}) added
// 2013/03/28: 0.012: rectangular_extrude() along 2d path, rotate_extrude() and torus() added
// 2013/03/18: 0.011: import of STL (binary / ASCII), polyhedron() implemented, better blend between browser & nodejs
// 2013/03/15: 0.010: circle(), square(), polygon() (partially) and linear_extrude() implemented
// 2013/03/13: 0.009: adding include() for web-gui
// 2013/03/12: 0.008: covering most mathematical function of OpenSCAD in JS as well
// 2013/03/11: 0.007: most function transforming CSG now take array as well, more functions for OpenSCAD-alike behaviour
// 2013/03/10: 0.006: colored intersection() & difference(), added mirror(), cylinder supports start/end coordinates too
// 2013/03/04: 0.005: intersect() -> intersection(), sin, cos, asin, acos included, more examples
// 2013/03/02: 0.004: better install, examples/, etc refinements (working on 2d primitives)
// 2013/03/01: 0.003: example.jscad vs example.scad, openscad.js/.jscad split up, and openjscad cli in nodejs implemented
// 2013/02/28: 0.002: center:false default
// 2013/02/27: 0.001: first version, center: true|false support
//
// original .scad file:
// union() {
// //cube(size=[30,30,0.1],center=true);
// translate([3,0,0]) cube();
// difference() {
// rotate([0,-45,0]) cube(size=[8,7,3],center=true);
// sphere(r=3,$fn=20,center=true);
// }
// translate([10,5,5]) scale([0.5,1,2]) sphere(r=5,$fn=50);
// translate([-15,0,0]) cylinder(r1=2,r2=0,h=10,$fn=20);
//
// for(i=[0:19]) {
// rotate([0,i/20*360,0]) translate([i,0,0]) rotate([0,i/20*90,i/20*90,0]) cube(size=[1,1.2,.5],center=true);
// }
// }
// function main() { // -- the same in .jscad :-)
// var cubes = new Array();
// for(i=0; i<20; i++) {
// cubes[i] = rotate([0,i/20*360,0], translate([i,0,0], rotate([0,i/20*90,i/20*90,0], cube({size:[1,1.2,.5],center:true}))));
// }
// return union(
// //cube({size:[30,30,0.1],center:true}),
// translate([3,0,0],cube()),
// difference(
// rotate([0,-45,0], cube({size:[8,7,3],center:true})),
// sphere({r:3,fn:20,center:true})
// ),
// translate([10,5,5], scale([0.5,1,2], sphere({r:5,fn:50}))),
// translate([-15,0,0], cylinder({r1:2,r2:0,h:10,fn:20})),
// cubes
// //translate([0,5,0], linear_extrude({height:10, center: true, twist: 100, slices: 50}, translate([2,0,0], circle(1))))
// );
// }
function JStoMeta(src) {
var l = src.split(/\n/);
var n = 0;
var m = [];
for(var i=0; ; i++) {
if(l[i].match(/^\/\/\s*(\S[^:]+):\s*(\S.*)/)) {
var k = RegExp.$1;
var v = RegExp.$2;
m[k] = v;
n++;
} else {
if(i>5&&n==0)
break;
else if(n>0)
break;
}
}
return m;
}
function MetaToJS(m) {
var s = "";
for(var k in m) {
s += "// "+k+": "+m[k]+"\n";
}
return s;
}
// wrapper functions for OpenJsCAD & OpenJSCAD.org
// color table from http://www.w3.org/TR/css3-color/
function color() {
var map = {
"black" : [ 0/255,0/255,0/255 ],
"silver": [ 192/255,192/255,192/255 ],
"gray" : [ 128/255,128/255,128/255 ],
"white" : [ 255/255,255/255,255/255 ],
"maroon": [ 128/255,0/255,0/255 ],
"red" : [ 255/255,0/255,0/255 ],
"purple": [ 128/255,0/255,128/255 ],
"fuchsia": [ 255/255,0/255,255/255 ],
"green" : [ 0/255,128/255,0/255 ],
"lime" : [ 0/255,255/255,0/255 ],
"olive" : [ 128/255,128/255,0/255 ],
"yellow": [ 255/255,255/255,0/255 ],
"navy" : [ 0/255,0/255,128/255 ],
"blue" : [ 0/255,0/255,255/255 ],
"teal" : [ 0/255,128/255,128/255 ],
"aqua" : [ 0/255,255/255,255/255 ],
"aliceblue" : [ 240/255,248/255,255/255 ],
"antiquewhite" : [ 250/255,235/255,215/255 ],
"aqua" : [ 0/255,255/255,255/255 ],
"aquamarine" : [ 127/255,255/255,212/255 ],
"azure" : [ 240/255,255/255,255/255 ],
"beige" : [ 245/255,245/255,220/255 ],
"bisque" : [ 255/255,228/255,196/255 ],
"black" : [ 0/255,0/255,0/255 ],
"blanchedalmond" : [ 255/255,235/255,205/255 ],
"blue" : [ 0/255,0/255,255/255 ],
"blueviolet" : [ 138/255,43/255,226/255 ],
"brown" : [ 165/255,42/255,42/255 ],
"burlywood" : [ 222/255,184/255,135/255 ],
"cadetblue" : [ 95/255,158/255,160/255 ],
"chartreuse" : [ 127/255,255/255,0/255 ],
"chocolate" : [ 210/255,105/255,30/255 ],
"coral" : [ 255/255,127/255,80/255 ],
"cornflowerblue" : [ 100/255,149/255,237/255 ],
"cornsilk" : [ 255/255,248/255,220/255 ],
"crimson" : [ 220/255,20/255,60/255 ],
"cyan" : [ 0/255,255/255,255/255 ],
"darkblue" : [ 0/255,0/255,139/255 ],
"darkcyan" : [ 0/255,139/255,139/255 ],
"darkgoldenrod" : [ 184/255,134/255,11/255 ],
"darkgray" : [ 169/255,169/255,169/255 ],
"darkgreen" : [ 0/255,100/255,0/255 ],
"darkgrey" : [ 169/255,169/255,169/255 ],
"darkkhaki" : [ 189/255,183/255,107/255 ],
"darkmagenta" : [ 139/255,0/255,139/255 ],
"darkolivegreen" : [ 85/255,107/255,47/255 ],
"darkorange" : [ 255/255,140/255,0/255 ],
"darkorchid" : [ 153/255,50/255,204/255 ],
"darkred" : [ 139/255,0/255,0/255 ],
"darksalmon" : [ 233/255,150/255,122/255 ],
"darkseagreen" : [ 143/255,188/255,143/255 ],
"darkslateblue" : [ 72/255,61/255,139/255 ],
"darkslategray" : [ 47/255,79/255,79/255 ],
"darkslategrey" : [ 47/255,79/255,79/255 ],
"darkturquoise" : [ 0/255,206/255,209/255 ],
"darkviolet" : [ 148/255,0/255,211/255 ],
"deeppink" : [ 255/255,20/255,147/255 ],
"deepskyblue" : [ 0/255,191/255,255/255 ],
"dimgray" : [ 105/255,105/255,105/255 ],
"dimgrey" : [ 105/255,105/255,105/255 ],
"dodgerblue" : [ 30/255,144/255,255/255 ],
"firebrick" : [ 178/255,34/255,34/255 ],
"floralwhite" : [ 255/255,250/255,240/255 ],
"forestgreen" : [ 34/255,139/255,34/255 ],
"fuchsia" : [ 255/255,0/255,255/255 ],
"gainsboro" : [ 220/255,220/255,220/255 ],
"ghostwhite" : [ 248/255,248/255,255/255 ],
"gold" : [ 255/255,215/255,0/255 ],
"goldenrod" : [ 218/255,165/255,32/255 ],
"gray" : [ 128/255,128/255,128/255 ],
"green" : [ 0/255,128/255,0/255 ],
"greenyellow" : [ 173/255,255/255,47/255 ],
"grey" : [ 128/255,128/255,128/255 ],
"honeydew" : [ 240/255,255/255,240/255 ],
"hotpink" : [ 255/255,105/255,180/255 ],
"indianred" : [ 205/255,92/255,92/255 ],
"indigo" : [ 75/255,0/255,130/255 ],
"ivory" : [ 255/255,255/255,240/255 ],
"khaki" : [ 240/255,230/255,140/255 ],
"lavender" : [ 230/255,230/255,250/255 ],
"lavenderblush" : [ 255/255,240/255,245/255 ],
"lawngreen" : [ 124/255,252/255,0/255 ],
"lemonchiffon" : [ 255/255,250/255,205/255 ],
"lightblue" : [ 173/255,216/255,230/255 ],
"lightcoral" : [ 240/255,128/255,128/255 ],
"lightcyan" : [ 224/255,255/255,255/255 ],
"lightgoldenrodyellow" : [ 250/255,250/255,210/255 ],
"lightgray" : [ 211/255,211/255,211/255 ],
"lightgreen" : [ 144/255,238/255,144/255 ],
"lightgrey" : [ 211/255,211/255,211/255 ],
"lightpink" : [ 255/255,182/255,193/255 ],
"lightsalmon" : [ 255/255,160/255,122/255 ],
"lightseagreen" : [ 32/255,178/255,170/255 ],
"lightskyblue" : [ 135/255,206/255,250/255 ],
"lightslategray" : [ 119/255,136/255,153/255 ],
"lightslategrey" : [ 119/255,136/255,153/255 ],
"lightsteelblue" : [ 176/255,196/255,222/255 ],
"lightyellow" : [ 255/255,255/255,224/255 ],
"lime" : [ 0/255,255/255,0/255 ],
"limegreen" : [ 50/255,205/255,50/255 ],
"linen" : [ 250/255,240/255,230/255 ],
"magenta" : [ 255/255,0/255,255/255 ],
"maroon" : [ 128/255,0/255,0/255 ],
"mediumaquamarine" : [ 102/255,205/255,170/255 ],
"mediumblue" : [ 0/255,0/255,205/255 ],
"mediumorchid" : [ 186/255,85/255,211/255 ],
"mediumpurple" : [ 147/255,112/255,219/255 ],
"mediumseagreen" : [ 60/255,179/255,113/255 ],
"mediumslateblue" : [ 123/255,104/255,238/255 ],
"mediumspringgreen" : [ 0/255,250/255,154/255 ],
"mediumturquoise" : [ 72/255,209/255,204/255 ],
"mediumvioletred" : [ 199/255,21/255,133/255 ],
"midnightblue" : [ 25/255,25/255,112/255 ],
"mintcream" : [ 245/255,255/255,250/255 ],
"mistyrose" : [ 255/255,228/255,225/255 ],
"moccasin" : [ 255/255,228/255,181/255 ],
"navajowhite" : [ 255/255,222/255,173/255 ],
"navy" : [ 0/255,0/255,128/255 ],
"oldlace" : [ 253/255,245/255,230/255 ],
"olive" : [ 128/255,128/255,0/255 ],
"olivedrab" : [ 107/255,142/255,35/255 ],
"orange" : [ 255/255,165/255,0/255 ],
"orangered" : [ 255/255,69/255,0/255 ],
"orchid" : [ 218/255,112/255,214/255 ],
"palegoldenrod" : [ 238/255,232/255,170/255 ],
"palegreen" : [ 152/255,251/255,152/255 ],
"paleturquoise" : [ 175/255,238/255,238/255 ],
"palevioletred" : [ 219/255,112/255,147/255 ],
"papayawhip" : [ 255/255,239/255,213/255 ],
"peachpuff" : [ 255/255,218/255,185/255 ],
"peru" : [ 205/255,133/255,63/255 ],
"pink" : [ 255/255,192/255,203/255 ],
"plum" : [ 221/255,160/255,221/255 ],
"powderblue" : [ 176/255,224/255,230/255 ],
"purple" : [ 128/255,0/255,128/255 ],
"red" : [ 255/255,0/255,0/255 ],
"rosybrown" : [ 188/255,143/255,143/255 ],
"royalblue" : [ 65/255,105/255,225/255 ],
"saddlebrown" : [ 139/255,69/255,19/255 ],
"salmon" : [ 250/255,128/255,114/255 ],
"sandybrown" : [ 244/255,164/255,96/255 ],
"seagreen" : [ 46/255,139/255,87/255 ],
"seashell" : [ 255/255,245/255,238/255 ],
"sienna" : [ 160/255,82/255,45/255 ],
"silver" : [ 192/255,192/255,192/255 ],
"skyblue" : [ 135/255,206/255,235/255 ],
"slateblue" : [ 106/255,90/255,205/255 ],
"slategray" : [ 112/255,128/255,144/255 ],
"slategrey" : [ 112/255,128/255,144/255 ],
"snow" : [ 255/255,250/255,250/255 ],
"springgreen" : [ 0/255,255/255,127/255 ],
"steelblue" : [ 70/255,130/255,180/255 ],
"tan" : [ 210/255,180/255,140/255 ],
"teal" : [ 0/255,128/255,128/255 ],
"thistle" : [ 216/255,191/255,216/255 ],
"tomato" : [ 255/255,99/255,71/255 ],
"turquoise" : [ 64/255,224/255,208/255 ],
"violet" : [ 238/255,130/255,238/255 ],
"wheat" : [ 245/255,222/255,179/255 ],
"white" : [ 255/255,255/255,255/255 ],
"whitesmoke" : [ 245/255,245/255,245/255 ],
"yellow" : [ 255/255,255/255,0/255 ],
"yellowgreen" : [ 154/255,205/255,50/255 ] };
var o, i = 1, a = arguments, c = a[0], alpha;
if(a[0].length<4 && (a[i]*1-0)==a[i]) { alpha = a[i++]; } // first argument rgb (no a), and next one is numeric?
if(a[i].length) { a = a[i], i = 0; } // next arg an array, make it our main array to walk through
if(typeof c == 'string')
c = map[c.toLowerCase()];
if(alpha!==undefined)
c = c.concat(alpha);
for(o=a[i++]; i<a.length; i++) {
o = o.union(a[i]);
}
return o.setColor(c);
}
// -- 3D operations (OpenSCAD like notion)
function group() { // experimental
var o,i=0,a=arguments;
if(a[0].length) a = a[0];
if((typeof(a[i]) == "object") && (a[i] instanceof CAG)) {
o = a[i].extrude({offset: [0,0,0.1]}); // -- convert a 2D shape to a thin solid, note: do not a[i] = a[i].extrude()
} else {
o = a[i++];
}
for(; i<a.length; i++) {
var obj = a[i];
if((typeof(a[i]) == "object") && (a[i] instanceof CAG)) {
obj = a[i].extrude({offset: [0,0,0.1]}); // -- convert a 2D shape to a thin solid:
}
o = o.unionForNonIntersecting(obj);
}
return o;
}
function union() {
var o,i=0,a=arguments;
if(a[0].length) a = a[0];
o = a[i++];
if(0) { // we leave to code for now, perhaps later we allow mixed CAG/CSG union
if((typeof(a[i]) == "object") && (a[i] instanceof CAG)) {
o = a[i].extrude({offset: [0,0,0.1]}); // -- convert a 2D shape to a thin solid, note: do not a[i] = a[i].extrude()
} else {
o = a[i++];
}
}
for(; i<a.length; i++) {
var obj = a[i];
// for now disabled, later perhaps allow mixed union of CAG/CSG
if(0&&(typeof(a[i]) == "object") && (a[i] instanceof CAG)) {
obj = a[i].extrude({offset: [0,0,0.1]}); // -- convert a 2D shape to a thin solid:
}
o = o.union(obj);
}
return o;
}
function difference() {
var o,i=0,a=arguments;
if(a[0].length) a = a[0];
for(o=a[i++]; i<a.length; i++) {
o = o.subtract(a[i].setColor(1,1,0)); // -- color the cuts
}
return o;
}
function intersection() {
var o,i=0,a=arguments;
if(a[0].length) a = a[0];
for(o=a[i++]; i<a.length; i++) {
o = o.intersect(a[i].setColor(1,1,0)); // -- color the cuts
}
return o;
}
// -- 3D primitives (OpenSCAD like notion)
function cube(p) {
var s = 1, v = null, off = [0,0,0], round = false, r = 0, fn = 8;
if(p&&p.length) v = p;
if(p&&p.size&&p.size.length) v = p.size; // { size: [1,2,3] }
if(p&&p.size&&!p.size.length) s = p.size; // { size: 1 }
//if(p&&!p.size&&!p.length&&p.center===undefined&&!p.round&&!p.radius) s = p; // (2)
if(p&&(typeof p!='object')) s = p; // (2)
if(p&&p.round==true) { round = true, r = v&&v.length?(v[0]+v[1]+v[2])/30:s/10}
if(p&&p.radius) { round = true, r = p.radius; }
if(p&&p.fn) fn = p.fn; // applies in case of round: true
var x = s, y = s, z = s;
if(v&&v.length) {
x = v[0], y = v[1], z = v[2];
}
off = [x/2,y/2,z/2]; // center: false default
var o = round?
CSG.roundedCube({radius:[x/2,y/2,z/2], roundradius:r, resolution: fn}):
CSG.cube({radius:[x/2,y/2,z/2]});
if(p&&p.center&&p.center.length) {
off = [p.center[0]?0:x/2, p.center[1]?0:y/2,p.center[2]?0:z/2];
} else if(p&&p.center==true) {
off = [0,0,0];
} else if(p&&p.center==false) {
off = [x/2,y/2,z/2];
}
if(off[0]||off[1]||off[2]) o = o.translate(off);
//if(v&&v.length) o = o.scale(v); // we don't scale afterwards, we already created box with the correct size
return o;
}
function sphere(p) {
var r = 1;
var fn = 32;
var off = [0,0,0];
var type = 'normal';
//var zoff = 0; // sphere() in openscad has no center:true|false
if(p&&p.r) r = p.r;
if(p&&p.fn) fn = p.fn;
if(p&&p.type) type = p.type;
//if(p&&!p.r&&!p.fn&&!p.type) r = p;
if(p&&(typeof p!='object')) r = p;
off = [0,0,0]; // center: false (default)
var o;
if(type=='geodesic')
o = geodesicSphere(p);
else
o = CSG.sphere({radius:r,resolution:fn});
if(p&&p.center&&p.center.length) { // preparing individual x,y,z center
off = [p.center[0]?0:r,p.center[1]?0:r,p.center[2]?0:r];
} else if(p&&p.center==true) {
off = [0,0,0];
} else if(p&&p.center==false) {
off = [r,r,r];
}
if(off[0]||off[1]||off[2]) o = o.translate(off);
return o;
}
function geodesicSphere(p) {
var r = 1, fn = 5;
var ci = [ // hard-coded data of icosahedron (20 faces, all triangles)
[0.850651,0.000000,-0.525731],
[0.850651,-0.000000,0.525731],
[-0.850651,-0.000000,0.525731],
[-0.850651,0.000000,-0.525731],
[0.000000,-0.525731,0.850651],
[0.000000,0.525731,0.850651],
[0.000000,0.525731,-0.850651],
[0.000000,-0.525731,-0.850651],
[-0.525731,-0.850651,-0.000000],
[0.525731,-0.850651,-0.000000],
[0.525731,0.850651,0.000000],
[-0.525731,0.850651,0.000000]];
var ti = [ [0,9,1], [1,10,0], [6,7,0], [10,6,0], [7,9,0], [5,1,4], [4,1,9], [5,10,1], [2,8,3], [3,11,2], [2,5,4],
[4,8,2], [2,11,5], [3,7,6], [6,11,3], [8,7,3], [9,8,4], [11,10,5], [10,11,6], [8,9,7]];
var geodesicSubDivide = function(p,fn,off) {
var p1 = p[0], p2 = p[1], p3 = p[2];
var n = off;
var c = [];
var f = [];
// p3
// /\
// /__\ fn = 3
// i /\ /\
// /__\/__\ total triangles = 9 (fn*fn)
// /\ /\ /\
// 0/__\/__\/__\
// p1 0 j p2
for(var i=0; i<fn; i++) {
for(var j=0; j<fn-i; j++) {
var t0 = i/fn;
var t1 = (i+1)/fn;
var s0 = j/(fn-i);
var s1 = (j+1)/(fn-i);
var s2 = fn-i-1?j/(fn-i-1):1;
var q = [];
q[0] = mix3(mix3(p1,p2,s0),p3,t0);
q[1] = mix3(mix3(p1,p2,s1),p3,t0);
q[2] = mix3(mix3(p1,p2,s2),p3,t1);
// -- normalize
for(var k=0; k<3; k++) {
var r = Math.sqrt(q[k][0]*q[k][0]+q[k][1]*q[k][1]+q[k][2]*q[k][2]);
for(var l=0; l<3; l++) {
q[k][l] /= r;
}
}
c.push(q[0],q[1],q[2]);
f.push([n,n+1,n+2]); n += 3;
if(j<fn-i-1) {
var s3 = fn-i-1?(j+1)/(fn-i-1):1;
q[0] = mix3(mix3(p1,p2,s1),p3,t0);
q[1] = mix3(mix3(p1,p2,s3),p3,t1);
q[2] = mix3(mix3(p1,p2,s2),p3,t1);
// -- normalize
for(var k=0; k<3; k++) {
var r = Math.sqrt(q[k][0]*q[k][0]+q[k][1]*q[k][1]+q[k][2]*q[k][2]);
for(var l=0; l<3; l++) {
q[k][l] /= r;
}
}
c.push(q[0],q[1],q[2]);
f.push([n,n+1,n+2]); n += 3;
}
}
}
return { points: c, triangles: f, off: n };
}
var mix3 = function(a,b,f) {
var _f = 1-f;
var c = [];
for(var i=0; i<3; i++) {
c[i] = a[i]*_f+b[i]*f;
}
return c;
}
if(p) {
if(p.fn) fn = Math.floor(p.fn/6);
if(p.r) r = p.r;
}
if(fn<=0) fn = 1;
var q = [];
var c = [], f = [];
var off = 0;
for(var i=0; i<ti.length; i++) {
var g = geodesicSubDivide([ ci[ti[i][0]], ci[ti[i][1]], ci[ti[i][2]] ],fn,off);
c = c.concat(g.points);
f = f.concat(g.triangles);
off = g.off;
}
return polyhedron({points: c, triangles: f}).scale(r);
}
function cylinder(p) {
var r1 = 1, r2 = 1, h = 1, fn = 32, round = false; var a = arguments;
var off = [0,0,0];
if(p&&p.d) {
r1 = r2 = p.d/2;
}
if(p&&p.r) {
r1 = p.r; r2 = p.r;
}
if(p&&p.h) {
h = p.h;
}
if(p&&(p.r1||p.r2)) {
r1 = p.r1; r2 = p.r2; if(p.h) h = p.h;
}
if(p&&(p.d1||p.d2)) {
r1 = p.d1/2; r2 = p.d2/2;
}
if(a&&a[0]&&a[0].length) {
a = a[0]; r1 = a[0]; r2 = a[1]; h = a[2]; if(a.length==4) fn = a[3];
}
if(p&&p.fn) fn = p.fn;
//if(p&&p.center==true) zoff = -h/2;
if(p&&p.round==true) round = true;
var o;
if(p&&(p.start&&p.end)) {
o = round?
CSG.roundedCylinder({start:p.start,end:p.end,radiusStart:r1,radiusEnd:r2,resolution:fn}):
CSG.cylinder({start:p.start,end:p.end,radiusStart:r1,radiusEnd:r2,resolution:fn});
} else {
o = round?
CSG.roundedCylinder({start:[0,0,0],end:[0,0,h],radiusStart:r1,radiusEnd:r2,resolution:fn}):
CSG.cylinder({start:[0,0,0],end:[0,0,h],radiusStart:r1,radiusEnd:r2,resolution:fn});
var r = r1>r2?r1:r2;
if(p&&p.center&&p.center.length) { // preparing individual x,y,z center
off = [p.center[0]?0:r,p.center[1]?0:r,p.center[2]?-h/2:0];
} else if(p&&p.center==true) {
off = [0,0,-h/2];
} else if(p&&p.center==false) {
off = [0,0,0];
}
if(off[0]||off[1]||off[2]) o = o.translate(off);
}
return o;
}
function torus(p) {
var ri = 1, ro = 4, fni = 16, fno = 32, roti = 0;
if(p) {
if(p.ri) ri = p.ri;
if(p.fni) fni = p.fni;
if(p.roti) roti = p.roti;
if(p.ro) ro = p.ro;
if(p.fno) fno = p.fno;
}
if(fni<3) fni = 3;
if(fno<3) fno = 3;
var c = circle({r:ri,fn:fni,center:true});
if(roti) c = c.rotateZ(roti);
return rotate_extrude({fn:fno},c.translate([ro,0,0]));
}
function polyhedron(p) {
//console.log("polyhedron() not yet implemented");
var pgs = [];
var ref = p.triangles||p.polygons;
for(var i=0; i<ref.length; i++) {
var pp = [];
for(var j=0; j<ref[i].length; j++) {
pp[j] = p.points[ref[i][j]];
}
var v = [];
for(j=ref[i].length-1; j>=0; j--) { // --- we reverse order for examples of OpenSCAD work
//for(var j=0; j<ref[i].length-1; j++) {
v.push(new CSG.Vertex(new CSG.Vector3D(pp[j][0],pp[j][1],pp[j][2])));
}
pgs.push(new CSG.Polygon(v));
}
var r = CSG.fromPolygons(pgs);
//r.properties.polyhedron = new CSG.Properties();
//r.properties.polyhedron.center = new CSG.Vector3D(center);
//r.properties.sphere.facepoint = center.plus(xvector);
return r;
}
// -- 3D transformations (OpenSCAD like notion)
function translate() { // v, obj or array
var a = arguments, v = a[0], o, i = 1;
if(a[1].length) { a = a[1]; i = 0; }
for(o=a[i++]; i<a.length; i++) {
o = o.union(a[i]);
}
return o.translate(v);
}
function center() { // v, obj or array
var a = arguments, v = a[0], o, i = 1;
if(a[1].length) { a = a[1]; i = 0; }
for(o=a[i++]; i<a.length; i++) {
o = o.union(a[i]);
}
return o.center(v);
}
function scale() { // v, obj or array
var a = arguments, v = a[0], o, i = 1;
if(a[1].length) { a = a[1]; i = 0; }
for(o=a[i++]; i<a.length; i++) {
o = o.union(a[i]);
}
return o.scale(v);
}
function rotate() {
var o,i,v, r = 1, a = arguments;
if(!a[0].length) { // rotate(r,[x,y,z],o)
r = a[0];
v = a[1];
i = 2;
if(a[2].length) { a = a[2]; i = 0; }
} else { // rotate([x,y,z],o)
v = a[0];
i = 1;
if(a[1].length) { a = a[1]; i = 0; }
}
for(o=a[i++]; i<a.length; i++) {
o = o.union(a[i]);
}
if(r!=1) {
return o.rotateX(v[0]*r).rotateY(v[1]*r).rotateZ(v[2]*r);
} else {
return o.rotateX(v[0]).rotateY(v[1]).rotateZ(v[2]);
}
}
function mirror(v,o) {
var a = Array.prototype.slice.call(arguments, 1, arguments.length),
o = a[0];
for(var i=1; i<a.length; i++) {
o = o.union(a[i]);
}
var plane = new CSG.Plane(new CSG.Vector3D(v[0], v[1], v[2]).unit(), 0);
return o.mirrored(plane);
}
function expand(r,n,o) {
return o.expand(r,n);
}
function contract(r,n,o) {
return o.contract(r,n);
}
function multmatrix() {
console.log("multmatrix() not yet implemented");
}
function minkowski() {
console.log("minkowski() not yet implemented");
}
function hull() {
var pts = [];
var a = arguments;
if(a[0].length) a = a[0];
var done = [];
for(var i=0; i<a.length; i++) { // extract all points of the CAG in the argument list
var cag = a[i];
if(!(cag instanceof CAG)) {
throw("ERROR: hull() accepts only 2D forms / CAG");
return;
}
for(var j=0; j<cag.sides.length; j++) {
var x = cag.sides[j].vertex0.pos.x;
var y = cag.sides[j].vertex0.pos.y;
if(done[''+x+','+y]) // avoid some coord to appear multiple times
continue;
pts.push({ x:x, y:y });
done[''+x+','+y]++;
//echo(x,y);
}
}
//echo(pts.length+" points in",pts);
// from http://www.psychedelicdevelopment.com/grahamscan/
// see also at https://github.com/bkiers/GrahamScan/blob/master/src/main/cg/GrahamScan.java
var ConvexHullPoint = function(i, a, d) {
this.index = i;
this.angle = a;
this.distance = d;
this.compare = function(p) {
if (this.angle<p.angle)
return -1;
else if (this.angle>p.angle)
return 1;
else {
if (this.distance<p.distance)
return -1;
else if (this.distance>p.distance)
return 1;
}
return 0;
}
}
var ConvexHull = function() {
this.points = null;
this.indices = null;
this.getIndices = function() {
return this.indices;
}
this.clear = function() {
this.indices = null;
this.points = null;
}
this.ccw = function(p1, p2, p3) {
var ccw = (this.points[p2].x - this.points[p1].x)*(this.points[p3].y - this.points[p1].y) -
(this.points[p2].y - this.points[p1].y)*(this.points[p3].x - this.points[p1].x);
if(ccw<1e-5) // we need this, otherwise sorting never ends, see https://github.com/Spiritdude/OpenJSCAD.org/issues/18
return 0
return ccw;
}
this.angle = function(o, a) {
//return Math.atan((this.points[a].y-this.points[o].y) / (this.points[a].x - this.points[o].x));
return Math.atan2((this.points[a].y-this.points[o].y), (this.points[a].x - this.points[o].x));
}
this.distance = function(a, b) {
return ((this.points[b].x-this.points[a].x)*(this.points[b].x-this.points[a].x)+
(this.points[b].y-this.points[a].y)*(this.points[b].y-this.points[a].y));
}
this.compute = function(_points) {
this.indices=null;
if (_points.length<3)
return;
this.points=_points;
// Find the lowest point
var min = 0;
for(var i = 1; i < this.points.length; i++) {
if(this.points[i].y==this.points[min].y) {
if(this.points[i].x<this.points[min].x)
min = i;
}
else if(this.points[i].y<this.points[min].y)
min = i;
}
// Calculate angle and distance from base
var al = new Array();
var ang = 0.0;
var dist = 0.0;
for (i = 0; i<this.points.length; i++) {
if (i==min)
continue;
ang = this.angle(min, i);
if (ang<0)
ang += Math.PI;
dist = this.distance(min, i);
al.push(new ConvexHullPoint(i, ang, dist));
}
al.sort(function (a, b) { return a.compare(b); });
// Create stack
var stack = new Array(this.points.length+1);
var j = 2;
for(i = 0; i<this.points.length; i++) {
if(i==min)
continue;
stack[j] = al[j-2].index;
j++;
}
stack[0] = stack[this.points.length];
stack[1] = min;
var tmp;
var M = 2;
for(i = 3; i<=this.points.length; i++) {
while(this.ccw(stack[M-1], stack[M], stack[i]) <= 0)
M--;
M++;
tmp = stack[i];
stack[i] = stack[M];
stack[M] = tmp;
}
this.indices = new Array(M);
for (i = 0; i<M; i++) {
this.indices[i] = stack[i+1];
}
}
}
var hull = new ConvexHull();
hull.compute(pts);
var indices = hull.getIndices();
if(indices&&indices.length>0) {
var ch = [];
for(var i=0; i<indices.length; i++) {
ch.push(pts[indices[i]]);
//echo(pts[indices[i]]);
}
//echo(ch.length+" points out",ch);
return CAG.fromPoints(ch);
//return CAG.fromPointsNoCheck(ch);
}
}
// "Whosa whatsis" suggested "Chain Hull" as described at https://plus.google.com/u/0/105535247347788377245/posts/aZGXKFX1ACN
// essentially hull A+B, B+C, C+D and then union those
function chain_hull() {
var a = arguments;
var j = 0, closed = false;
if(a[j].closed!==undefined)
closed = a[j++].closed;
if(a[j].length)
a = a[j];
var h = []; var n = a.length-(closed?0:1);
for(var i=0; i<n; i++) {
h.push(hull(a[i],a[(i+1)%a.length]));
}
return union(h);
}
// -- 2D to 3D primitives (OpenSCAD like notion)
function linear_extrude(p,s) {
//console.log("linear_extrude() not yet implemented");
//return;
var h = 1, off = 0, /* convexity = 10,*/ twist = 0, slices = 10;
if(p.height) h = p.height;
//if(p.convexity) convexity = p.convexity; // abandoned
if(p.twist) twist = p.twist;
if(p.slices) slices = p.slices;
var o = s.extrude({offset:[0,0,h], twistangle:twist, twiststeps:slices});
if(p.center==true) {
var b = new Array;
b = o.getBounds(); // b[0] = min, b[1] = max
off = b[1].plus(b[0]);
off = off.times(-0.5);
o = o.translate(off);
}
return o;
}
function rotate_extrude(p,o) {
var fn = 32;
if(arguments.length<2) {
o = p; // no switches, just an object
} else if(p!==undefined) {
fn = p.fn;
}
if(fn<3) fn = 3;
var ps = [];
for(var i=0; i<fn; i++) {
// o.{x,y} -> rotate([0,0,i:0..360], obj->{o.x,0,o.y})
for(var j=0; j<o.sides.length; j++) {
// has o.sides[j].vertex{0,1}.pos (only x,y)
var p = [];
var m;
m = new CSG.Matrix4x4.rotationZ(i/fn*360);
p[0] = new CSG.Vector3D(o.sides[j].vertex0.pos.x,0,o.sides[j].vertex0.pos.y);
p[0] = m.rightMultiply1x3Vector(p[0]);
p[1] = new CSG.Vector3D(o.sides[j].vertex1.pos.x,0,o.sides[j].vertex1.pos.y);
p[1] = m.rightMultiply1x3Vector(p[1]);
m = new CSG.Matrix4x4.rotationZ((i+1)/fn*360);
p[2] = new CSG.Vector3D(o.sides[j].vertex1.pos.x,0,o.sides[j].vertex1.pos.y);
p[2] = m.rightMultiply1x3Vector(p[2]);
p[3] = new CSG.Vector3D(o.sides[j].vertex0.pos.x,0,o.sides[j].vertex0.pos.y);
p[3] = m.rightMultiply1x3Vector(p[3]);
var p1 = new CSG.Polygon([
new CSG.Vertex(p[0]),
new CSG.Vertex(p[1]),
new CSG.Vertex(p[2]),
new CSG.Vertex(p[3]), // we make a square polygon (instead of 2 triangles)
]);
//var p2 = new CSG.Polygon([
// new CSG.Vertex(p[0]),
// new CSG.Vertex(p[2]),
// new CSG.Vertex(p[3]),
//]);
ps.push(p1);
//ps.push(p2);
//echo("i="+i,i/fn*360,"j="+j);
}
}
return CSG.fromPolygons(ps);
}
function rectangular_extrude(pa,p) {
var w = 1, h = 1, fn = 8, closed = false, round = true;
if(p) {
if(p.w) w = p.w;
if(p.h) h = p.h;
if(p.fn) fn = p.fn;
if(p.closed!==undefined) closed = p.closed;
if(p.round!==undefined) round = p.round;
}
return new CSG.Path2D(pa,closed).rectangularExtrude(w,h,fn,round);
}
// -- 2D primitives (OpenSCAD like notion)
function square() {
var v = [1,1], off; var a = arguments, p = a[0];
if(p&&!p.size) v = [p,p];
if(p&&p.length) v = a[0], p = a[1];
if(p&&p.size&&p.size.length) v = p.size;
off = [v[0]/2,v[1]/2];
if(p&&p.center==true) off = [0,0];
var o = CAG.rectangle({center:off,radius:[v[0]/2,v[1]/2]});
return o;
}
function circle() {
var r = 1, off, fn = 32; var a = arguments, p = a[0];
if(p&&p.r) r = p.r;
if(p&&p.fn) fn = p.fn;
if(p&&!p.r&&!p.fn&&!p.center) r = p;
off = [r,r];
if(p&&p.center==true) { off = [0,0]; }
var o = CAG.circle({center:off,radius:r,resolution:fn});
return o;
}
function polygon(p) { // array of po(ints) and pa(ths)
var points = new Array();
if(p.paths&&p.paths.length&&p.paths[0].length) { // pa(th): [[0,1,2],[2,3,1]] (two paths)
for(var j=0; j<p.paths.length; j++) {
for(var i=0; i<p.paths[j].length; i++) {
points[i] = p.points[p.paths[j][i]];
}
}
} else if(p.paths&&p.paths.length) { // pa(th): [0,1,2,3,4] (single path)
for(var i=0; i<p.paths.length; i++) {
points[i] = p.points[p.paths[i]];
}
} else { // pa(th) = po(ints)
if(p.length) {
points = p;
} else {
points = p.points;
}
}
return CAG.fromPoints(points);
}
function triangle() { // -- new addition
var a = arguments;
if(a[0]&&a[0].length) a = a[0];