<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>Boolean Study</title>
<script type="text/javascript" src="../../dist/paper-full.js"></script>
<script type="text/javascript">
paper.install(window);
var operations = {
union: true,
intersection: true,
subtraction: true,
exclusion: true,
division: true
};
var svgOptions = {
expandShapes: true
};
function runTests() {
var pathA, pathB, group;
var container = document.getElementById('container');
function runTest(testName, handler) {
var caption = document.createElement('h3');
var canvas = document.createElement('canvas');
caption.appendChild(document.createTextNode(testName));
container.appendChild(caption);
container.appendChild(canvas);
setTimeout(function() {
console.log('\n' + testName);
paper.setup(canvas);
var paths = handler();
testBooleanStatic(paths[0], paths[1]);
}, 0);
return caption;
}
runTest('Overlapping circles', function() {
return [
new Path.Circle(new Point(80, 110), 50),
new Path.Circle(new Point(150, 110), 70)
];
});
runTest('Overlapping circles 2', function() {
return [
new paper.Path.Circle(new paper.Point(50, 50), 50),
new paper.Path.Circle(new paper.Point(100, 100), 50)
];
});
runTest('Disjoint circles', function() {
return [
new Path.Circle(new Point(60, 110), 50),
new Path.Circle(new Point(170, 110), 50)
];
});
runTest('Overlapping circles - enveloping', function() {
return [
new Path.Circle(new Point(110, 110), 100),
new Path.Circle(new Point(120, 110), 60)
];
});
runTest('Polygon and square', function() {
return [
new Path.RegularPolygon(new Point(80, 110), 12, 80),
new Path.Rectangle(new Point(100, 80), [80, 80])
];
});
runTest('Circle and square (overlaps exactly on existing segments)', function() {
return [
new Path.Circle(new Point(110, 110), 80),
new Path.Rectangle(new Point(110, 110), [80, 80])
];
});
runTest('Circle and square (existing segments overlaps on curves)', function() {
return [
new Path.Circle(new Point(110, 110), 80),
new Path.Rectangle(new Point(110, 110), [100, 100])
];
});
runTest('Square and square (one segment overlaps on a line)', function() {
var pathA = new Path.Rectangle(new Point(80, 125), [50, 50]).rotate(45);
var pathB = new Path.Rectangle(new Point(pathA.segments[2].point.x, 110), [80, 80]);
return [pathA, pathB];
});
runTest('Rectangle and rectangle (overlaps exactly on existing curves)', function() {
return [
new Path.Rectangle(new Point(30.5, 50.5), [100, 150]),
new Path.Rectangle(new Point(130.5, 60.5), [100, 150])
];
});
runTest('Circle and banana (multiple intersections within same curve segment)', function() {
var pathA = new Path.Circle(new Point(80, 110), 80);
var pathB = new Path.Circle(new Point(130, 110), 80);
pathB.segments[3].point = pathB.segments[3].point.add([ 0, -120 ]);
return [pathA, pathB];
});
runTest('Overlapping stars 1', function() {
return [
new Path.Star(new Point(80, 110), 10, 20, 80),
new Path.Star(new Point(120, 110), 10, 30, 100)
];
});
runTest('Overlapping stars 2', function() {
return [
new Path.Star(new Point(110, 110), 20, 20, 80),
new Path.Star(new Point(110, 110), 6, 30, 100)
];
});
// runTest('Circles overlap exactly over each other');
// pathA = new Path.Circle(new Point(110, 110), 100);
// pathB = new Path.Circle(new Point(110, 110), 100);
// // pathB.translate([0.5,0])
// testBooleanStatic(pathA, pathB);
runTest('Maximum possible intersections between 2 cubic bezier curve segments - 9', function() {
var pathA = new Path();
pathA.add(new Segment([173, 44], [-281, 268], [-86, 152]));
pathA.add(new Segment([47, 93], [-89, 100], [240, -239]));
pathA.closed = true;
var pathB = pathA.clone();
pathB.rotate(-90);
pathA.translate([-10,0]);
pathB.translate([10,0]);
annotatePath(pathA, null, '#008');
annotatePath(pathB, null, '#800');
return [pathA, pathB];
});
runTest('SVG gears', function() {
var group = paper.project.importSVG(document.getElementById('svggears'), svgOptions);
return group.children;
});
runTest('Glyphs imported from SVG', function() {
var group = paper.project.importSVG(document.getElementById('glyphsys'), svgOptions);
return group.children;
});
runTest('CompoundPaths 1', function() {
var group = paper.project.importSVG(document.getElementById('glyphsacirc'), svgOptions);
return group.children;
});
runTest('CompoundPaths 2 - holes', function() {
var group = paper.project.importSVG(document.getElementById('glyphsacirc'), svgOptions);
var pathA = group.children[0];
var pathB = new CompoundPath();
group.children[1].clockwise = true;
pathB.addChild(group.children[1]);
pathB.addChild(new Path.Circle([110, 110], 30));
return [pathA, pathB];
});
runTest('CompoundPaths 3 !', function() {
var group = paper.project.importSVG(document.getElementById('svggreenland'), svgOptions);
group.children[1].scale(0.5, 1).translate([25.5, 0]);
return group.children;
});
runTest('CompoundPaths 4 - holes and islands 1', function() {
var group = paper.project.importSVG(document.getElementById('glyphsacirc'), svgOptions);
var pathA = group.children[0];
var pathB = new CompoundPath();
group.children[1].clockwise = true;
pathB.addChild(group.children[1]);
pathB.addChild(new Path.Circle([40, 80], 20));
return [pathA, pathB];
});
runTest('CompoundPaths 5 - holes and islands 2', function() {
var group = paper.project.importSVG(document.getElementById('glyphsacirc'), svgOptions);
var pathA = group.children[0];
var pathB = new CompoundPath();
group.children[1].clockwise = true;
pathB.addChild(group.children[1]);
var npath = new Path.Circle([40, 80], 20);
pathB.addChild(npath);
npath = new Path.Circle([120, 110], 30);
pathB.addChild(npath);
return [pathA, pathB];
});
runTest('CompoundPaths 6 - holes and islands 3', function() {
var group = paper.project.importSVG(document.getElementById('glyphsacirc'), svgOptions);
var pathA = group.children[0];
var pathB = new CompoundPath();
var npath = new Path.Circle([110, 110], 100);
pathB.addChild(npath);
npath = new Path.Circle([110, 110], 60);
pathB.addChild(npath);
npath = new Path.Circle([110, 110], 30);
pathB.addChild(npath);
return [pathA, pathB];
});
runTest('CompoundPaths 6 - holes and islands 4 (curves overlap exactly on existing curves)', function() {
var pathA = new Path.Rectangle(new Point(50.5, 50.5), [100, 120]);
var pathB = new CompoundPath();
pathB.addChild(new Path.Rectangle(new Point(140.5, 30.5), [100, 150]));
pathB.addChild(new Path.Rectangle(new Point(150.5, 65.5), [50, 100]));
// pathB = new Path.Rectangle(new Point(150.5, 80.5), [80, 80])
return [pathA, pathB];
});
// // To resolve self intersection on a single path,
// // pass an empty second operand and do a Union operation
// runTest('Self-intersecting paths 1 - Resolve self-intersection on single path');
// pathA = new Path.Star(new Point(110, 110), 10, 20, 80);
// pathA.smooth();
// pathB = new Path();
// testBooleanStatic(pathA, pathB, caption, false, true, true, true);
// runTest('Self-intersecting paths 2 - Resolve self-intersecting CompoundPath');
// pathA = new CompoundPath();
// pathA.addChild(new Path.Circle([100, 110], 60));
// pathA.addChild(new Path.Circle([160, 110], 30));
// pathB = new Path();
// testBooleanStatic(pathA, pathB, caption, false, true, true, true);
// var tool = new Tool();
// tool.onMouseMove = function(e) {
// var hi = project.hitTest(e.point);
// if (hi) {
// var item = hi.item;
// if (item instanceof PathItem) {
// var txt = new PointText(e.point.add([0, -10]));
// txt.justification = 'center';
// txt.content = item.id;
// txt.fillColor = '#000';
// txt.removeOnMove();
// }
// }
// };
// // pathA.selected = true;
// // pathA.fullySelected = true;
// // pathB.selected = true;
// pathA.style = pathStyleBoolean;
// pathB.style = pathStyleBoolean;
// // reorientCompoundPath(pathB)
// // var ixs = pathA.getIntersections(pathB);
// // ixs.map(function(a) { console.log("(" + a.path.id + " , " + a.curve.index + " , "+ a.parameter +")");
// // markPoint(a.point, " ") });
// // ixs.map(function(a) { markPoint(a.point, " "); });
// // splitPath(ixs, true);
// // splitPath(ixs);
// // annotatePath(pathB)
// // pathB.translate([ 300, 0 ]);
// // pathB.segments.filter(function(a) { return a._ixPair; }).map(
// // function(a) { a._ixPair.getIntersection()._segment.selected = true; });
// console.time('unite');
// var nup = unite(pathA, pathB);
// console.timeEnd('unite');
// // nup.style = booleanStyle;
// view.update();
}
var booleanStyle = {
fillColor: new Color(1, 0, 0, 0.5),
strokeColor: new Color(0, 0, 0),
strokeWidth: 1.5
};
var pathStyleNormal = {
strokeColor: new Color(0, 0, 0),
fillColor: new Color(0, 0, 0, 0.1),
strokeWidth: 1
};
var pathStyleBoolean = {
strokeColor: new Color(0.8),
fillColor: new Color(0, 0, 0, 0.0),
strokeWidth: 1
};
// Better if path1 and path2 fit nicely inside a 200x200 pixels rect
function testBooleanStatic(path1, path2) {
path1.style = path2.style = pathStyleNormal;
if (operations.union) {
var _p1U = path1.clone().translate([250, 0]);
var _p2U = path2.clone().translate([250, 0]);
_p1U.style = _p2U.style = pathStyleBoolean;
console.time('Union');
var boolPathU = _p1U.unite(_p2U);
console.timeEnd('Union');
boolPathU.style = booleanStyle;
view.update();
}
if (operations.intersection) {
var _p1I = path1.clone().translate([500, 0]);
var _p2I = path2.clone().translate([500, 0]);
_p1I.style = _p2I.style = pathStyleBoolean;
console.time('Intersection');
var boolPathI = _p1I.intersect(_p2I);
console.timeEnd('Intersection');
boolPathI.style = booleanStyle;
view.update();
}
if (operations.subtraction) {
var _p1S = path1.clone().translate([750, 0]);
var _p2S = path2.clone().translate([750, 0]);
_p1S.style = _p2S.style = pathStyleBoolean;
console.time('Subtraction');
var boolPathS = _p1S.subtract(_p2S);
console.timeEnd('Subtraction');
boolPathS.style = booleanStyle;
view.update();
}
if (operations.exclusion) {
var _p1E = path1.clone().translate([250, 220]);
var _p2E = path2.clone().translate([250, 220]);
_p1E.style = _p2E.style = pathStyleBoolean;
console.time('Exclusion');
var boolPathE = _p1E.exclude(_p2E);
console.timeEnd('Exclusion');
boolPathE.style = booleanStyle;
view.update();
}
if (operations.division) {
var _p1D = path1.clone().translate([500, 220]);
var _p2D = path2.clone().translate([500, 220]);
_p1D.style = _p2D.style = pathStyleBoolean;
console.time('Division');
var boolPathD = _p1D.divide(_p2D);
console.timeEnd('Division');
disperse(boolPathD);
boolPathD.style = booleanStyle;
view.update();
}
}
function disperse(path, distance) {
distance = distance || 10;
if (! path instanceof CompoundPath || ! path instanceof Group) { return; }
var center = path.bounds.center;
var children = path.children, i ,len;
for (var i = 0, len = children.length; i < len; i++) {
var cCenter = children[i].bounds.center;
var vec = cCenter.subtract(center);
vec = (vec.isClose([0,0], 0.5))? vec : vec.normalize(distance);
children[i].translate(vec);
}
}
// ==============================================================
// On screen debug helpers
function markPoint(pnt, t, c, tc, remove) {
if (!pnt) return;
c = c || '#000';
if (remove === undefined) { remove = true; }
var cir = new Path.Circle(pnt, 2);
cir.style.fillColor = c;
cir.style.strokeColor = tc;
if (t !== undefined || t !== null) {
var text = new PointText(pnt.add([0, -3]));
text.justification = 'center';
text.fillColor = c;
text.content = t;
if (remove) {
text.removeOnMove();
}
}
if (remove) {
cir.removeOnMove();
}
}
function annotatePath(path, t, c, tc, remove) {
if (!path) return;
var crvs = path.curves;
for (var i = crvs.length - 1; i >= 0; i--) {
annotateCurve(crvs[i], t, c, tc, remove);
}
var segs = path.segments;
for (var i = segs.length - 1; i >= 0; i--) {
annotateSegment(segs[i], t, c, tc, remove, true);
}
}
function annotateSegment(s, t, c, tc, remove, skipCurves) {
if (!s) return;
c = c || '#000';
tc = tc || '#ccc';
t = t || s.index;
if (remove === undefined) { remove = true; }
var crv = s.curve;
var t1 = crv.getNormal(0).normalize(10);
var p = s.point.clone().add(t1);
var cir = new Path.Circle(s.point, 2);
cir.style.fillColor = c;
cir.style.strokeColor = tc;
var text = new PointText(p);
text.justification = 'center';
text.fillColor = c;
text.content = t;
if (remove) {
cir.removeOnMove();
text.removeOnMove();
}
if (!skipCurves) {
annotateCurve(s.curveIn, null, c, tc, remove);
annotateCurve(s.curveOut, null, c, tc, remove);
}
}
function annotateCurve(crv, t, c, tc, remove) {
if (!crv) return;
c = c || '#000';
tc = tc || '#ccc';
t = t || crv.index;
if (remove === undefined) { remove = true; }
var p = crv.getPoint(0.57);
var t1 = crv.getTangent(0.57).normalize(-10);
var p2 = p.clone().add(t1);
var l = new Path.Line(p, p2).rotate(30, p);
var l2 = new Path.Line(p, p2).rotate(-30, p);
p = crv.getPoint(0.43);
var cir = new Path.Circle(p, 8);
var text = new PointText(p.subtract([0, -4]));
text.justification = 'center';
text.fillColor = tc;
text.content = t;
l.style.strokeColor = l2.style.strokeColor = c;
cir.style.fillColor = c;
if (remove) {
l.removeOnMove();
l2.removeOnMove();
cir.removeOnMove();
text.removeOnMove();
}
}
</script>
<style>
body {
height: 100%;
overflow: auto;
font-family: 'Helvetica Neue';
font-weight: 300;
}
#container {
display: block;
width: 1000px;
margin: 0 auto 50px;
}
h1, h3 {
font-weight: 300;
margin: 50px 0 20px;
}
footer {
display: block;
width: 1000px;
margin: 30px auto;
color: #999;
}
canvas {
cursor: crosshair;
width: 100%;
height: 440px;
margin: 5px 0;
}
.error {
color: #a00;
}
.hide{
display: none;
}
</style>
</head>
<body>
<div id="container">
<h1>Boolean Geometric Path Operations</h1>
<button id="testStart" value="Start tests" onClick="runTests();">Start tests</button>
</div>
<footer>
<p>Supported</p>
<ul>
<li>All PathItem classes (Path and CompoundPath)</li>
<li>Boolean Union</li>
<li>Boolean Intersection</li>
<li>Boolean Subtraction</li>
<li>Resolving a self-intersecting Path</li>
</ul>
<p>Not supported yet</p>
<ul>
<li>Boolean operations between self-intersecting Paths</li>
<li>Paths that are clones of each other and lie in the exact same position</li>
</ul>
<p>
<a href="http://hkrish.com">Harikrishnan Gopalakrishnan</a>
<p>
</footer>
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