/test/tests/Path_Boolean.js

/*
 * Paper.js - The Swiss Army Knife of Vector Graphics Scripting.
 * http://paperjs.org/
 *
 * Copyright (c) 2011 - 2020, Jürg Lehni & Jonathan Puckey
 * http://juerglehni.com/ & https://puckey.studio/
 *
 * Distributed under the MIT license. See LICENSE file for details.
 *
 * All rights reserved.
 */

QUnit.module('Path Boolean Operations');

function testOperations(path1, path2, results) {
    compareBoolean(function() { return path1.unite(path2); }, results[0]);
    compareBoolean(function() { return path2.unite(path1); }, results[0]);
    compareBoolean(function() { return path1.subtract(path2); }, results[1]);
    compareBoolean(function() { return path2.subtract(path1); }, results[2]);
    compareBoolean(function() { return path1.intersect(path2); }, results[3]);
    compareBoolean(function() { return path2.intersect(path1); }, results[3]);
    compareBoolean(function() { return path1.exclude(path2); }, results[4]);
    compareBoolean(function() { return path2.exclude(path1); }, results[4]);
}

test('Boolean operations without crossings', function() {
    var path1 = new Path.Rectangle({
        point: [0, 0],
        size: [200, 200]
    });

    var path2 = new Path.Rectangle({
        point: [50, 50],
        size: [100, 100]
    });

    var path3 = new Path.Rectangle({
        point: [250, 50],
        size: [100, 100]
    });

    testOperations(path1, path2, [
        'M0,200v-200h200v200z', // path1.unite(path2);
        'M0,200v-200h200v200zM150,150v-100h-100v100z', // path1.subtract(path2);
        '', // path2.subtract(path1);
        'M50,150v-100h100v100z', // path1.intersect(path2);
        'M0,200v-200h200v200zM150,150v-100h-100v100z' // path1.exclude(path2);
    ]);

    testOperations(path1, path3, [
        'M0,200v-200h200v200zM250,150v-100h100v100z', // path1.unite(path3);
        'M0,200v-200h200v200z', // path1.subtract(path3);
        'M350,150v-100h-100v100z', // path3.subtract(path1);
        '', // path1.intersect(path3);
        'M0,200v-200h200v200zM250,150v-100h100v100z' // path1.exclude(path3);
    ]);
});

test('frame.intersect(rect)', function() {
    var frame = new CompoundPath();
    frame.addChild(new Path.Rectangle(new Point(140, 10), [100, 300]));
    frame.addChild(new Path.Rectangle(new Point(150, 80), [50, 80]));
    var rect = new Path.Rectangle(new Point(50, 50), [100, 150]);

    compareBoolean(function() { return frame.intersect(rect); },
        'M140,50l10,0l0,150l-10,0z');
});

test('PathItem#resolveCrossings()', function() {
    var paths = [
        'M100,300l0,-50l50,-50l-50,0l150,0l-150,0l50,0l-50,0l100,0l-100,0l0,-100l200,0l0,200z',
        'M50,300l0,-150l50,25l0,-75l200,0l0,200z M100,200l50,0l-50,-25z',
        'M330.1,388.5l-65,65c0,0 -49.1,-14.5 -36.6,-36.6c12.5,-22.1 92.4,25.1 92.4,25.1c0,0 -33.3,-73.3 -23.2,-85.9c10,-12.8 32.4,32.4 32.4,32.4z',
        'M570,290l5.8176000300452415,33.58556812220928l-28.17314339506561,-14.439003967264455l31.189735425395614,-4.568209255479985c-5.7225406635552645e-9,-3.907138079739525e-8 -59.366611385062015,8.695139599513823 -59.366611385062015,8.695139599513823z',
        'M228.26666666666668,222.72h55.46666666666667c3.05499999999995,0 5.546666666666624,2.4916666666666742 5.546666666666624,5.546666666666681v55.46666666666667c0,3.05499999999995 -2.4916666666666742,5.546666666666624 -5.546666666666624,5.546666666666624h-55.46666666666667c-3.055000000000007,0 -5.546666666666681,-2.4916666666666742 -5.546666666666681,-5.546666666666624v-55.46666666666667c0,-3.055000000000007 2.4916666666666742,-5.546666666666681 5.546666666666681,-5.546666666666681zM283.73333399705655,289.2799999999998c-2.212411231994338e-7,1.1368683772161603e-13 2.212409526691772e-7,0 0,0z'
    ];
    var results = [
        'M100,300l0,-50l50,-50l-50,0l0,-100l200,0l0,200z',
        'M50,300l0,-150l50,25l0,-75l200,0l0,200z M100,200l50,0l-50,-25z',
        'M291.85631,426.74369l-26.75631,26.75631c0,0 -49.1,-14.5 -36.6,-36.6c7.48773,-13.23831 39.16013,-1.61018 63.35631,9.84369z M330.1,388.5l-22.09831,22.09831c-8.06306,-21.54667 -15.93643,-47.46883 -10.30169,-54.49831c10,-12.8 32.4,32.4 32.4,32.4z M320.9,442c0,0 -12.84682,-7.58911 -29.04369,-15.25631l16.14539,-16.14539c6.38959,17.07471 12.89831,31.40169 12.89831,31.40169z',
        'M570,290l5.8176,33.58557l-28.17314,-14.439c-14.32289,2.0978 -28.17688,4.12693 -28.17688,4.12693z',
        'M228.26666666666668,222.72h55.46666666666667c3.05499999999995,0 5.546666666666624,2.4916666666666742 5.546666666666624,5.546666666666681v55.46666666666667c0,3.05499999999995 -2.4916666666666742,5.546666666666624 -5.546666666666624,5.546666666666624h-55.46666666666667c-3.055000000000007,0 -5.546666666666681,-2.4916666666666742 -5.546666666666681,-5.546666666666624v-55.46666666666667c0,-3.055000000000007 2.4916666666666742,-5.546666666666681 5.546666666666681,-5.546666666666681z'
    ];
    for (var i = 0; i < paths.length; i++) {
        var path = PathItem.create(paths[i]),
            result = PathItem.create(results[i]);
        path.fillRule = 'evenodd';
        compareBoolean(path.resolveCrossings(), result, 'path.resolveCrossings(); // Test ' + (i + 1));
    }
});

test('#541', function() {
    var shape0 = new Path.Rectangle({
        insert: false,
        point: [304, 226],
        size: [328, 328]
    });
    var shape1 = new Path({
        insert: false,
        segments: [
            [213.5, 239],
            [476.5, 279],
            [716, 233.5],
            [469, 74]
        ],
        closed: true
    });
    var res1 = shape0.exclude(shape1);
    var shape2 = new Path.Rectangle({
        insert: false,
        point: [174, 128],
        size: [309, 251]
    });
    var res2 = res1.exclude(shape2);
    // shape3
    var shape3 = new Path.Rectangle({
        insert: false,
        point: [318, 148],
        size: [302, 302]
    });
    // exclude res2 & shape3
    compareBoolean(function() { return res2.exclude(shape3); },
        'M304,554l0,-175l14,0l0,71l302,0l0,-198.262l12,-2.27975l0,304.54175z M318,379l165,0l0,-101.23486l137,-26.02714l0,-25.738l-137,0l0,-78l-128.58788,0l-36.41212,23.51468l0,54.48532l165,0l0,51.76514l-6.5,1.23486l-158.5,-24.10646z M174,379l0,-251l211.38182,0l-30.9697,20l-36.41212,0l0,23.51468l-104.5,67.48532l90.5,13.76426l0,-26.76426l14,0l0,28.89354l-14,-2.12928l0,126.23574z M385.38182,128l83.61818,-54l114.59561,74l-100.59561,0l0,-20z M583.59561,148l36.40439,23.5081l0,-23.5081z M620,171.5081l96,61.9919l-84,15.95825l0,-23.45825l-12,0z');
});

test('#609', function() {
    // path1 and path2 are half circles, applying unite should result in a circle
    var path1 = new Path();
    path1.moveTo(new Point(100, 100));
    path1.arcTo(new Point(100, 200));
    path1.closePath();

    var path2 = new Path();
    path2.moveTo(new Point(100, 200));
    path2.arcTo(new Point(100, 100));
    path2.closePath();

    compareBoolean(function() { return path1.unite(path2); },
        'M150,150c0,27.61424 -22.38576,50 -50,50c-27.61424,0 -50,-22.38576 -50,-50c0,-27.61424 22.38576,-50 50,-50c27.61424,0 50,22.38576 50,50z');
});

test('#610', function() {
    var square = new Path.Rectangle({
        position: [140, 0],
        size: 300
    });

    // Make a ring using subtraction of two circles:
    var inner = new Path.Circle({
        center: [0, 0],
        radius: 100
    });

    var outer = new Path.Circle({
        center: [0, 0],
        radius: 132
    });

    var ring = outer.subtract(inner);

    compareBoolean(function() { return ring.subtract(square); },
        'M-132,0c0,-69.53737 53.7698,-126.51614 122,-131.62689l0,32.12064c-50.53323,5.01724 -90,47.65277 -90,99.50625c0,51.85348 39.46677,94.489 90,99.50625l0,32.12064c-68.2302,-5.11075 -122,-62.08951 -122,-131.62689z');
});

test('#719', function() {
    var radius = 50;
    var circle = new Path.Circle([0, 0], radius);
    var arc = new Path.Arc([0, -radius], [radius, 0], [0, radius]);
    arc.closed = true;
    arc.pivot = arc.bounds.leftCenter;

    var result = circle.subtract(arc);
    // Rotate the arc by 180 to receive the expected shape to compare against
    var expected = arc.rotate(180);

    compareBoolean(result, expected);
});

test('#757 (path1.intersect(pat2, { trace: false }))', function() {
    var rect = new Path.Rectangle({
        from: [100, 250],
        to: [350, 350]
    });

    var line = new Path({
        segments: [
            [100, 200],
            [150, 400],
            [200, 200],
            [250, 400],
            [300, 200],
            [350, 400]
        ]
    });

    var res = line.intersect(rect, { trace: false });

    var children = res.removeChildren();
    var first = children[0];
    for (var i = 1; i < children.length; i++) {
        first.join(children[i]);
    }
    first.insertAbove(res);
    res.remove();
    res = first;
    compareBoolean(res,
        'M112.5,250l25,100l25,0l25,-100l25,0l25,100l25,0l25,-100l25,0l25,100');
});

test('#784', function() {
    var path1 = PathItem.create('M495.9,1693.5c-42.2-203.5-64.5-304.9-78-299.9 c-1.7,0.6-0.3,6.7,5.3,22.5l209.4-74.8l75.8,303.9L495.9,1693.5z');
    var path2 = PathItem.create('M632.6,1341.2l-209.4,74.9c95.4,267,135.6,201-60.1-144.5l202.9-85.7 L632.6,1341.2z');
    compareBoolean(function() { return path1.unite(path2); },
        'M495.9,1693.5c-17.51923,-84.48253 -31.60874,-151.36838 -43.06274,-200.34989c-9.02339,-21.58227 -18.9863,-47.24083 -29.63726,-77.05011c-5.6,-15.8 -7,-21.9 -5.3,-22.5c3.68921,-1.36638 8.03561,5.21313 13.26571,19.65076l6.17555,-2.20892c0.00094,0.00191 0.00189,0.00383 0.00283,0.00574l195.25591,-69.74757l75.8,303.9z M632.6,1341.2l-195.25874,69.84183c-19.60056,-39.73292 -44.12819,-86.27851 -74.24126,-139.44183l202.9,-85.7z');

    var path1 = new Path('M330.1,388.5l-65,65c0,0-49.1-14.5-36.6-36.6 c12.5-22.1,92.4,25.1,92.4,25.1s-33.3-73.3-23.2-85.9C307.7,343.3,330.1,388.5,330.1,388.5z');
    var path2 = new Path('M395.1,453.4c0,15.2-33.8,65-65,65s-65-65-65-65l65-65 C330.1,388.5,395.1,438.2,395.1,453.4z');
    compareBoolean(function() { return path1.unite(path2); },
        'M265.13434,453.46566l-0.03434,0.03434c0,0 -49.1,-14.5 -36.6,-36.6c7.48073,-13.22593 39.10093,-1.6319 63.28843,9.81157l16.18604,-16.18604c-8.05354,-21.53223 -15.90287,-47.40397 -10.27447,-54.42553c9.77623,-12.51358 31.40373,30.40618 32.36674,32.33326l0.03326,-0.03326c0,0.1 65,49.8 65,65c0,15.2 -33.8,65 -65,65c-30.62393,0 -63.75273,-62.62185 -64.96566,-64.93434z');
});

test('#784#issuecomment-144653463', function() {
    var path1 = new Path({
        segments: [
            [400, 300],
            [396.4240965757225, 386.760212367686],
            [363.8902430603039, 336.3464406833805]
        ],
        closed: true
    });
    var path2 = new Path({
        segments: [
            [380.15716053320796, 361.5533174872367],
            [368.9579765078272, 389.3845783631412],
            [352.11749924000907, 372.22000125020173]
        ],
        closed: true
    });
    var path3 = new Path({
        segments: [
            [381.9248139754118, 360.88087710036456],
            [352.11749931845384, 372.22000145641056],
            [353.8723170322086, 346.9400510828104]
        ],
        closed: true
    });
    compareBoolean(function() { return path1.unite(path2).unite(path3); },
        'M400,300l-3.5759,86.76021l-16.26693,-25.2069l0,0l-11.19918,27.83126l-16.84048,-17.16458l1.75482,-25.27995l24.8115,12.3302l-14.79357,-22.92381z M352.1175,372.22z');
});

test('#784#issuecomment-144993215', function() {
    var path1 = new Path({
        segments: [
            [428.65986693122585, 123.24312916360232],
            [448.9732353341095, 290.23336023178985, -1.297313778199964, -0.24666929481787747, -0.06896642337790126, -0.004714867204086204],
            [448.9732339473677, 290.2333601369859, 0.22704183013848933, 0.04316939284507271, 0.24127512029406262, 0.016494695478172616],
            [375.34013306877415, 150.7568708363977]
        ],
        closed: true
    });
    compareBoolean(function() { return path1.unite(); },
        'M428.65987,123.24313c0,0 18.24445,159.97772 20.21157,166.76806c-3.05664,-6.18082 -73.53131,-139.25432 -73.53131,-139.25432z M448.97323,290.23336c0,0 0,0 0,0c0.22704,0.04317 -0.06896,-0.00471 0,0c-0.02659,-0.00506 -0.06063,-0.08007 -0.1018,-0.22217c0.07286,0.14733 0.10741,0.22256 0.1018,0.22217z',
        null, { tolerance: 1e-3 });
});

test('#784#issuecomment-168605018', function() {
    var path1 = new CompoundPath();
    path1.setChildren([
        new Path({
            segments: [
                [401.77542835664826, 286.9803609495646],
                [410.6261525310172, 207.97354059345616],
                [460.3783408790767, 174.43669899386418],
            ],
            closed: true
        }), new Path({
            segments: [
                [410.6261524612045, 207.9735406405153],
                [410.6261525310172, 207.97354059345614, -0.0005059167983745283, -0.0007686158121771314]
            ],
            closed: true
        })
    ], true);
    var path2 = new Path({
        segments: [
            [410.6261524612047, 207.97354064051552, 0, 0, 0.19904749518872222, 0.2952886437272184],
            [409.163896522797, 207.2586618457598, 1.6828473498011363, 0.6114523237241087],
            [460.3783408790765, 174.43669899386396]
        ],
        closed: true
    });
    compareBoolean(function() { return path1.unite(path2); },
        'M401.77543,286.98036l8.85044,-79.00432c-0.16499,-0.13413 -0.57872,-0.39645 -1.46198,-0.71738l51.21444,-32.82196z M410.62615,207.97354c0,0 0,0 0,0z');
});

test('#854', function() {
    var p = new Path({
        segments:[
            [110, 60],
            [99.09349390368303, 54.102707245527334, 0, 0, 0.2109804080034046, -0.3885775729842338],
            [99.76298270272372, 52.95998195277986, -0.2353176636361775, 0.3732505490504639,],
            [107.23497309089953, 78.84996109436266, 0, 0, -9.106249727572695, -5.544212301393825],
            [100.0593186152821, 52.32387941069251, -5.08710486250942, 9.369281629969153, 0, 0],
            ],
        closed:true
    });
    p.translate(100, 100);
    p.scale(4);
    compareBoolean(function() {
            p.windingRule = 'evenodd';
            return p.unite();
        },
        'M228.55086,143.23924l-38.88978,-21.02822l27.82967,96.42806c-34.09062,-20.75559 -47.33495,-62.77314 -32.21096,-98.79709l-0.35495,-0.19193c0.64433,-1.18671 1.31713,-2.35551 2.01826,-3.50647c0,0 0,0 0,0c-0.58827,1.22495 -1.1426,2.45812 -1.66331,3.6984l4.38129,2.36902l-2.05829,-7.13185c-0.22261,0.3531 -0.44251,0.70791 -0.6597,1.06443c0.58173,-1.21134 1.19664,-2.41465 1.84504,-3.60884z');

    compareBoolean(function() {
            p.windingRule = 'nonzero';
            return p.unite();
        },
        'M228.55086,143.23924l-38.88978,-21.02822l27.82967,96.42806c-34.09062,-20.75559 -47.33495,-62.77314 -32.21096,-98.79709l-0.35495,-0.19193c0.64433,-1.18671 1.31713,-2.35551 2.01826,-3.50647c0.58173,-1.21134 1.19664,-2.41465 1.84504,-3.60884z');
});

test('#859', function() {
    var p1 = new Path({
        segments: [
            [230, 360],
            [326.04999999999995, 361.95, 0, 0, 7.100000000000023, 5.300000000000011],
            [347.74999999999994, 377.3, -7.300000000000011, -5, 0, 0],
            [260, 400],
        ],
        closed: true
    });
    var p2 = new Path({
        segments: [
            [329.8373529833907, 360.99927475751736, 0, 0, -0.5084518552435497, 1.7136677994218417],
            [327.9816245617005, 366.0401044369074, 0.7293957729680756, -1.645975116174725, 0, 0],
            [300, 380]
        ],
        closed: true
    });
    compareBoolean(function() { return p1.subtract(p2); },
        'M230,360l96.05,1.95c0.3523,0.26298 0.70509,0.52535 1.05835,0.78713l-27.10835,17.26287l27.98162,-13.9599c0.29878,-0.67424 0.57885,-1.35439 0.84036,-2.04026c6.22144,4.55915 12.57473,8.94859 18.92802,13.30016l-87.75,22.7z');
});

test('#839', function() {
    var p1 = new Path({
        segments: [
            [522, 352],
            [500, 400],
            [480, 400],
            [448, 448],
            [100, 448],
            [100, 352]
        ],
        closed: true
    });
    var p2 = new Path.Rectangle(250, 300, 100, 200);
    compareBoolean(function() { return p1.subtract(p2); },
        'M522,352l-22,48l-20,0l-32,48l-98,0l0,-96z M250,448l-150,0l0,-96l150,0z');
});

test('#865', function() {
    function executeTest(offset) {
        var p1 = new Path({
            segments:[
                [300, 100],
                [300, 350],
                [256.00000000000006, 350],
                [256.00000000000006, 250],
                [230, 224],
                [256.00000000000006, 200],
                [256.00000000000006, 100]
            ],
            closed:true
        });
        var p2 = new Path({
            segments:[
                [256, 150],
                [256, 300],
                [200, 300],
                [200, 150]
            ],
            closed:true
        });

        p1.position = p1.position.add([offset, 0]);

        compareBoolean(p1.subtract(p2),
                'M300,100l0,250l-44,0l0,-250z',
                'p1.subtract(p2); // with offset = ' + offset);
    }
    // Attempt different x-offsets since that produced different version of the
    // issue:
    executeTest(0);
    executeTest(-0.0000001);
    executeTest( 0.0000001);
    executeTest(-0.000000001);
    executeTest( 0.000000001);
});

test('#870', function() {
    var path1 = new Path.Rectangle({
        point: [50, 50],
        size: [150, 50]
    });

    var path2 = new Path.Rectangle({
        point: [70, 50],
        size: [150, 50]
    });

    compareBoolean(function() { return path1.intersect(path2); },
        'M70,50l130,0l0,50l-130,0z');

    var path1 = new Path.Rectangle({
        point: [50, 150],
        size: [50, 100]
    });

    var path2 = new Path.Rectangle({
        point: [50, 175],
        size: [50, 100]
    });

    compareBoolean(function() { return path1.intersect(path2); },
        'M50,250l0,-75l50,0l0,75z');
});

test('#875', function() {
    var p1 = new Path({
        segments: [
            [158.7, 389.3, 0, 0, -4.95, 4.95],
            [158.7, 407.2, -4.95, -4.95, 4.95, 4.95],
            [176.6, 407.2, -4.95, 4.95, 4.95, -4.95],
            [176.6, 389.3, 4.95, 4.95, -4.95, -4.95],
            [158.7, 389.3, 4.95, -4.95, 0, 0]
        ],
        closed: true
    });
    var p2 = new Path.Circle(260, 320, 100);

    compareBoolean(function() { return p1.subtract(p2); },
        'M158.7,407.2c4.95,4.95 12.95,4.95 17.9,0c4.95,-4.95 4.95,-12.95 0,-17.9c-4.95,-4.95 -12.95,-4.95 -17.9,0c-4.95,4.95 -4.95,12.95 0,17.9z');
});

test('#877', function() {
    var cp = new CompoundPath({
        children: [
            new Path.Circle(100, 60, 50),
            new Path.Circle(100, 60, 30),
            new Path({
                segments: [
                    [120, 140],
                    [150, 140],
                    [150, 190],
                    [120, 190]
                ],
                closed: true
            }),
        ],
        fillRule: 'evenodd'
    });

    var p = new Path({
        segments: [
            [135, 200],
            [135, 120],
            [170, 120],
            [170, 200]
        ],
        closed: true
    });
    compareBoolean(function() { return cp.subtract(p); },
        'M50,60c0,-27.61424 22.38576,-50 50,-50c27.61424,0 50,22.38576 50,50c0,27.61424 -22.38576,50 -50,50c-27.61424,0 -50,-22.38576 -50,-50z M100,90c16.56854,0 30,-13.43146 30,-30c0,-16.56854 -13.43146,-30 -30,-30c-16.56854,0 -30,13.43146 -30,30c0,16.56854 13.43146,30 30,30z M120,140l15,0l0,50l-15,0z');
});

test('#878', function() {
    var p1 = new Path({ segments:[ [431.90000000000003, 479.99999999999994], [128.00000000000003, 370], [80.00000000000003, 479.99999999999994], ], closed:true });
    var p2 = new Path({ segments:[ [400, 480, 10, 0, 0, 0], [140, 480, 0, 0, -10, 0], [300, 300]], closed:true });
    compareBoolean(function() { return p1.unite(p2); },
        'M431.9,480l-35.62956,-12.89652c-19.34292,-41.22209 -96.27044,-167.10348 -96.27044,-167.10348c0,0 -48.3459,51.18977 -91.9573,98.97235l-80.0427,-28.97235l-48,110z');

    compareBoolean(function() { return p1.subtract(p2); },
        'M431.9,480l-35.62956,-12.89652c3.78718,8.07094 5.3669,12.89652 3.72956,12.89652z M208.0427,398.97235l-80.0427,-28.97235l-48,110l60,0c-4.6672,0 29.87455,-39.20895 68.0427,-81.02765z');
});

test('#885', function() {
    var p1 = new Path.Rectangle(100, 100, 100, 100);
    var p2 = p1.clone();
    var empty = new Path();
    compareBoolean(function() { return p1.unite(p2); }, p1);
    compareBoolean(function() { return p1.intersect(p2); }, p1);
    compareBoolean(function() { return p1.subtract(p2); }, empty);
    compareBoolean(function() { return p1.exclude(p2); }, empty);
});

test('#889', function() {
    var cp = new CompoundPath([
        new Path({ segments: [ [340.26, 358.4], [576, 396.8], [345.78, 396.8] ], closed: true }),
        new Path({ segments: [ [691.2, 685.76], [672, 550.4, 0, 0, 10, 0], [729.6, 608, 0, -20, 0, 0] ], closed: true })
    ]);
    var p = new Path({ segments: [ [739, 418], [637, 704], [205, 704], [204.30709922574619, 356.553500194953] ], closed: true });
    compareBoolean(function() { return cp.subtract(p); },
        'M340.26,358.4l235.74,38.4l-21.47738,0l-212.24889,-24.39148z M691.2,685.76l-13.57151,-95.67911l11.09506,-31.10967c17.43794,12.2938 40.87645,34.99446 40.87645,49.02878z');
});

test('#890', function() {
    var cp = new CompoundPath([
        new Path({ segments: [ [676, 396.8], [445.78, 396.8], [426, 260] ], closed: true }),
        new Path({ segments: [ [672, 550.4, 0, 0, 31.74000000000001, 0], [633.5999999999999, 732.8, 0, 26.519999999999982] ], closed: true })
    ]);
    var p = new Path({ segments: [ [732, 418, 0, 0, 0, 52.45802606694065], [676.3444534355956, 552.3444534355972, 34.385686865893945, -34.38568686589349], [630, 704], [400, 704], [542, 228] ], closed: true });
    compareBoolean(function() { return cp.subtract(p); },
        'M491.6437,396.8l-45.8637,0l-19.78,-136.8l91.51486,50.07693z M676.40276,552.28613c19.70425,20.76653 -42.80276,205.5493 -42.80276,180.51387l27.46296,-130.44906l15.28149,-50.00648c0.01944,-0.01944 0.03887,-0.03888 0.0583,-0.05833z');

    var cp = new CompoundPath([
        new Path({segments:[[576, 396.8], [345.78, 396.8],  [249.6, 243.20000000000002]], closed:true}),
        new Path({segments:[[624.84, 550.46], [672, 550.4], [729.6, 608]], closed:true})
    ]);
    var p = new Path({segments:[[323.0000000000002, 228.0000000000001, 0, 0, 51.95879291356505, 0], [410.9999999999998, 704.0000000000002], [-21.000000000000227, 703.9999999999998], [-21.692900774253758, 356.5535001949528]], closed:true});
    compareBoolean(function() { return cp.subtract(p); },
        'M576,396.8l-199.38152,0c-6.06278,-38.62456 -12.80947,-74.58601 -20.1433,-103.3058z M255.78013,253.06971l-6.18013,-9.86971l14.43275,6.79188z M624.84,550.46l47.16,-0.06l57.6,57.6z');
});

test('#899', function() {
    var path = new Path({segments:[[349.31714952528665, 176.97192499841802, 2.0667935742653185, -10.850610233997372, 0, 0], [308.23418424120047, 394.39737504104323, 0, 0, -0.3852007263769224, 2.0386172397749647], [273.60284923271973, 415.7138856106701, 9.194683617471242, 1.7373535056759692, 0, 0], [340.6967045975081, 152.3115389894092, -4.006231967752797, -3.6687868382265094, 5.694026309937783, 5.214418174126138], [349.72123243229134, 170.85618880187394, -0.36146393999291604, -6.612268801346318, 0.1110858449889065, 2.0320961120115726], [349.31714952528654, 176.97192499841861, 0.3852007263769224, -2.038617239775249, -2.0667935742656027, 10.850610233997315], [333.4126425432937, 153.58289639999975, -10.850610233997315, -2.0667935742653754, 10.850610233997372, 2.0667935742653754]], closed:true});
    compareBoolean(function() { return path.unite(); },
        'M349.31715,176.97192l-41.08297,217.42545c-0.3852,2.03862 -25.43665,23.05386 -34.63134,21.31651c0,0 45.72613,-193.57408 61.79225,-248.85827c-4.42287,-6.99195 -6.99542,-14.22758 -1.98246,-13.27272c1.9865,0.37838 3.84798,1.03847 5.55095,1.93102c0.85247,-2.33202 1.44527,-3.46596 1.73311,-3.20238c5.69403,5.21442 8.66306,11.93238 9.02453,18.54465c0.10579,1.93513 -0.00703,3.88198 -0.35068,5.82386c-0.01706,0.09726 -0.03486,0.19455 -0.0534,0.29188z');
});

test('#936', function() {
    var p1 = new Path({
        segments:[
            [437.02857142857147, 121.64285714285714],
            [390.3571428571429, 74.97142857142856],
            [390.3571428571429, 437.02857142857147],
            [437.02857142857147, 390.3571428571429],
            [74.97142857142862, 390.3571428571429],
            [121.6428571428572, 437.02857142857147],
            [121.64285714285714, 74.97142857142858],
            [74.97142857142859, 121.64285714285714]
        ],
        closed:true
    });
    compareBoolean(function() { return p1.unite(); },
        'M390.35714,121.64286l0,268.71429l-268.71429,0l0,-268.71429z M121.64286,437.02857l-46.67143,-46.67143l46.67143,0z M390.35714,121.64286l0,-46.67143l46.67143,46.67143z M437.02857,390.35714l-46.67143,46.67143l0,-46.67143z M74.97143,121.64286l46.67143,-46.67143l0,46.67143z');

    var p2 = new Path({
        segments:[
            [384.0884708724184, 194.49096034834812, -66.07592496222571, -39.741588860234515],
            [364.2895784370851, 164.00333956484477, 0, 0, 9.430248075502885, 76.52772155228502],
            [317.5090396516519, 384.0884708724184, 39.74158886023454, -66.07592496222564],
            [347.9966604351552, 364.2895784370851, 0, 0, -76.52772155228439, 9.430248075502845],
            [127.91152912758163, 317.50903965165196, 66.0759249622259, 39.74158886023463],
            [147.71042156291495, 347.9966604351553, 0, 0, -9.43024807550288, -76.52772155228509],
            [194.49096034834812, 127.91152912758156, -39.74158886023451, 66.07592496222576],
            [164.00333956484474, 147.7104215629149, 0, 0, 76.52772155228499, -9.430248075502845]
        ],
        closed:true
    });
    compareBoolean(function() { return p2.unite(); },
        'M366.1932,184.4397c3.98163,62.97187 -9.38253,125.8453 -38.6329,181.75349c-62.97187,3.98163 -125.8453,-9.38253 -181.75349,-38.6329c-3.98163,-62.97187 9.38253,-125.8453 38.6329,-181.75349c62.97187,-3.98163 125.8453,9.38253 181.75349,38.6329z M164.00334,147.71042l30.48762,-19.79889c-3.53519,5.87774 -6.88622,11.84573 -10.05126,17.89528c-6.81387,0.43083 -13.62889,1.06475 -20.43636,1.90362z M147.71042,347.99666l-19.79889,-30.48762c5.87774,3.53519 11.84573,6.88622 17.89528,10.05126c0.43083,6.81387 1.06475,13.62889 1.90362,20.43636z M366.1932,184.4397c-0.43083,-6.81387 -1.06475,-13.62889 -1.90362,-20.43636l19.79889,30.48762c-5.87774,-3.53519 -11.84573,-6.88622 -17.89528,-10.05126z M347.99666,364.28958l-30.48762,19.79889c3.53519,-5.87774 6.88622,-11.84573 10.05126,-17.89528c6.81387,-0.43083 13.62889,-1.06475 20.43636,-1.90362z');
});

test('#923', function() {
    var p1 = new Path.Circle({center: [100, 100], radius: 20});
    var p2 = new Path.Circle({center: [150, 100], radius: 20});
    var cp = new CompoundPath([p1, p2]);
    var p3 = new Path.Circle({center: [100, 100], radius: 20});
    cp.strokeColor = 'red';
    p3.strokeColor = 'green';
    compareBoolean(function() { return cp.unite(p3); },
        'M80,100c0,-11.04569 8.95431,-20 20,-20c11.04569,0 20,8.95431 20,20c0,11.04569 -8.95431,20 -20,20c-11.04569,0 -20,-8.95431 -20,-20z M130,100c0,-11.04569 8.95431,-20 20,-20c11.04569,0 20,8.95431 20,20c0,11.04569 -8.95431,20 -20,20c-11.04569,0 -20,-8.95431 -20,-20z');
});

test('#958', function() {
    var p1 = new Path.Rectangle(100, 200, 200, 20);
    var p2 = new Path.Rectangle(140, 100, 20, 20);
    var cp = new CompoundPath({children: [p1, p2]});
    var bounds = new Path.Rectangle(cp.bounds);
    compareBoolean(function() { return bounds.intersect(cp); },
        'M100,220l0,-20l200,0l0,20z M140,100l20,0l0,20l-20,0z');
});

test('#968', function() {
    var p1 = new paper.Path({
        segments: [
            [352, 280, 0, -26.5, 0, 0],
            [352, 356, 0, 0, 0, 2.1999999999999886],
            [348, 360, 2.1999999999999886, 0, -72, 0]
        ],
        closed: true
    });
    var p2 = new paper.Path({
        segments: [
            [352, 344],
            [352, 356, 0, 0, 0, 2.1999999999999886],
            [348, 360, 2.1999999999999886, 0, 0, 0],
            [232, 360, 0, 0, -2.1999999999999886, 0]
        ],
        closed: true
    });
    compareBoolean(function() { return p1.subtract(p2); },
        'M352,280l0,64c0,0 -13.69105,1.79261 -31.82528,4.17778c-15.66463,-26.96617 31.82528,-89.12564 31.82528,-68.17778z');
});

test('#973', function() {
    var path = new Path.Ellipse(100, 100, 150, 110);
    path.segments[1].point.y += 60;
    path.segments[3].point.y -= 60;

    var resolved = path.resolveCrossings();
    var orientation = resolved.children.map(function(child) {
        return child.isClockwise();
    });
    equals(orientation, [true, false, true],
            'children orientation after calling path.resolveCrossings()');
});

test('#1036', function() {
    var line1 = new Path([
        [[305.10732,101.34786],[0,0],[62.9214,0]],
        [[499.20274,169.42611],[-29.38716,-68.57004],[5.78922,13.50818]],
        [[497.75426,221.57115],[2.90601,-13.5614],[-9.75434,45.52027]],
        [[416.63976,331.65512],[31.9259,-30.40562],[-21.77284,20.73604]],
        [[350.00999,391.04252],[23.92578,-18.22917],[-23.33885,17.78198]],
        [[277.58633,431.59977],[27.45996,-10.67887],[-1.72805,0.67202]],
        [[251.51381,437.39367],[0,5.7145],[0,0]]
    ]);

    var line2 = new Path([
        [[547.00236,88.31161],[0,0],[-1.36563,0]],
        [[544.10541,85.41466],[1.29555,0.43185],[-9.83725,-3.27908]],
        [[509.34205,82.51771],[10.32634,-1.29079],[-10.20055,1.27507]],
        [[444.16075,97.00245],[7.10741,-4.06138],[-4.93514,2.82008]],
        [[431.12449,105.69328],[4.27047,-2.13524],[-14.94798,7.47399]],
        [[407.94892,175.22],[1.27008,-13.33587],[-3.16966,33.28138]],
        [[399.25808,279.51008],[-5.61644,-33.69865],[1.73417,10.40499]],
        [[415.19129,307.03107],[-5.98792,-8.16534],[2.74694,3.74583]],
        [[432.57297,328.75817],[-3.89061,-3.29206],[2.9716,2.51443]],
        [[442.71228,334.55206],[-3.01275,-2.46498],[2.39275,1.95771]],
        [[448.50617,341.79443],[-2.37502,-1.97918],[39.75954,33.13295]],
        [[578.86877,378.00626],[-51.65429,10.33086],[11.28627,-2.25725]],
        [[612.18365,366.41848],[-10.6547,4.26188],[3.10697,-1.24279]],
        [[617.97755,362.07306],[-3.19904,0],[0,0]]
    ]);
    compareBoolean(function() { return line1.intersect(line2); },
        'M424.54226,112.15158c32.89387,9.15202 61.28089,26.0555 74.66048,57.27453c5.78922,13.50818 1.45753,38.58364 -1.44848,52.14504c-8.75233,40.8442 -41.40003,72.54068 -71.07836,100.58668c-4.48065,-5.55963 -9.68976,-12.67924 -11.48461,-15.12676c-5.98792,-8.16534 -14.19904,-17.116 -15.93321,-27.52099c-5.61644,-33.69865 5.52118,-71.0087 8.69084,-104.29008c1.06648,-11.19805 6.14308,-47.34273 16.59334,-63.06842z');
});

test('#1054', function() {
    var p1 = new Path({
        segments: [
            [310, 170],
            [200, 170],
            [200, 350],
            [190, 350],
            [190, 160],
            [320, 160],
            [320, 350],
            [310, 350]
        ],
        closed: true
    });
    var p2 = new Path({
        segments: [
            [195, 165],
            [315, 165],
            [315, 350],
            [195, 350]
        ],
        closed: true
    });
    compareBoolean(function() { return p1.unite(p2); },
        'M190,350l0,-190l130,0l0,190z');


    var cp = new CompoundPath();
    cp.addChild(new Path({
        segments: [
            [150, 100],
            [150, 150],
            [100, 150],
            [100, 100]
        ],
        closed: true
    }));
    cp.addChild(new Path({
        segments: [
            [200, 150],
            [200, 100],
            [220, 100],
            [220, 150]
        ],
        closed: true
    }));
    var p = new Path({
        segments: [
            [200, 100],
            [200, 150],
            [120, 150],
            [120, 100]
        ],
        closed: true
    });
    compareBoolean(function() { return cp.unite(p); },
        'M100,150l0,-50l120,0l0,50z');
});

test('#1059', function() {
    var p1 = new paper.Path({
        segments: [
            [428.48408954611784, 189.03444010371618, 0, 0, -21.46171522996096, 0],
            [369.18465116477694, 213.5984519858447, 16.376007921419017, -16.376007921419017, 0, 0],
            [209.1846511647769, 213.5984519858447, 0, 0, 16.376007921419017, -16.376007921419017],
            [268.48408954611784, 189.03444010371618, -21.46171522996096, 0, 0, 0]
        ],
        closed: true
    });
    var p2 = new paper.Path({
        segments: [
            [369.18465470031083, 213.59844845031083, 0, 0, -32.75201584283798, 32.752015842838006],
            [369.18465470031083, 332.1973252129927, -32.752015842838034, -32.75201584283809, 0, 0],
            [209.1846547003108, 332.1973252129927],
            [209.1846547003108, 213.59844845031083, -32.75201584283798, 32.752015842838006, 0, 0]
        ],
        closed: true
    });
    compareBoolean(function() { return p1.unite(p2); },
        'M428.48409,189.03444c-21.46172,0 -42.92343,8.188 -59.29943,24.56401c-32.75202,32.75202 -32.75202,85.84686 0,118.59888l-160,0c0,0 -32.75202,-85.84686 0,-118.59888l0,0c16.37601,-16.37601 37.83772,-24.56401 59.29944,-24.56401z');
});

test('#1075', function() {
    var p1 = new paper.Path({
        segments: [
            [150, 120],
            [150, 85],
            [178, 85],
            [178, 110],
            [315, 110],
            [315, 85],
            [342, 85],
            [342, 120],
        ],
        closed: true
    });
    var p2 = new paper.Path({
        segments: [
            [350, 60],
            [350, 125],
            [315, 125],
            [315, 85],
            [178, 85],
            [178, 125],
            [140, 125],
            [140, 60]
        ],
        closed: true
    });

    compareBoolean(function() { return p1.unite(p2); },
        'M140,125l0,-65l210,0l0,65l-35,0l0,-5l-137,0l0,5z M315,85l-137,0l0,25l137,0z');
});

test('#1091', function() {
    var data = [
        'M91.24228100000002,45.622281000000015v396.89171899999997c0,25.195925999999986 -20.426355000000015,45.622281000000044 -45.62000000000001,45.622281000000044c-25.198207000000007,0 -45.620000000000005,-20.42407400000002 -45.620000000000005,-45.622281000000044v-396.889438c0,-25.19820700000001 20.421792999999997,-45.62228100000001 45.620000000000005,-45.62228100000001c25.193644999999997,0 45.617719000000015,20.424074000000015 45.62000000000001,45.62000000000001z0',
        'M223.67029800000003,488.13628100000005h-178.05029800000003c-25.198207000000004,0 -45.620000000000005,-20.426355000000058 -45.620000000000005,-45.622281000000044v0c0,25.198207000000025 20.421793,45.622281000000044 45.620000000000005,45.622281000000044c25.193645000000004,0 45.620000000000005,-20.426355000000058 45.620000000000005,-45.622281000000044v-45.620000000000005h132.430298v0c-25.193645000000004,0 -45.620000000000005,20.42407400000002 -45.620000000000005,45.620000000000005c0.0022810000000106356,25.198207000000025 20.426355,45.622281000000044 45.620000000000005,45.622281000000044',
        'M225.369643,488.13628100000005h-1.6993449999999939c1.0013589999999795,0 2.0004369999999767,-0.006843000000003485 2.9995150000000024,-0.01824800000002824c-0.4311089999999922,0.011404999999967913 -0.8644990000000234,0.01824800000002824 -1.3001700000000085,0.01824800000002824z',
        'M45.62228100000001,488.13628100000005c-25.198207000000007,0 -45.620000000000005,-20.426355000000058 -45.620000000000005,-45.622281000000044c0,-25.193644999999947 20.421792999999997,-45.620000000000005 45.620000000000005,-45.620000000000005h45.62000000000001v45.620000000000005c-0.0022809999999964248,25.198207000000025 -20.426355000000015,45.622281000000044 -45.62000000000001,45.622281000000044z',
        'M223.67029800000003,91.242281h-132.430298v-45.620000000000005c0,-25.195926000000004 -20.424074000000005,-45.62228100000001 -45.620000000000005,-45.62228100000001h179.667527c0.41742300000001364,0 0.8325649999999882,0.004561999999999999 1.2477069999999912,0.015967000000000002c-0.9511770000000013,-0.011405000000000002 -1.9137589999999989,-0.015967000000000002 -2.867217000000011,-0.015967000000000002c-25.193645000000004,0 -45.620000000000005,20.424074 -45.620000000000005,45.62228100000001c0.0045619999999928496,25.195926 20.42863600000004,45.620000000000005 45.622281000000044,45.620000000000005z',
        'M91.24000000000001,91.242281h-45.620000000000005c-25.198207000000004,0 -45.620000000000005,-20.424074000000005 -45.620000000000005,-45.620000000000005c0,-25.195926000000004 20.421793,-45.62228100000001 45.620000000000005,-45.62228100000001v0c25.193645000000004,0 45.620000000000005,20.424074 45.620000000000005,45.62228100000001z',
        'M226.66981300000003,488.118033c24.59146100000001,-0.6888619999999719 44.31982999999997,-20.841497000000004 44.31982999999997,-45.604033000000015c0,-25.193644999999947 -20.42407400000002,-45.620000000000005 -45.620000000000005,-45.620000000000005h-1.6993449999999939c80.626507,0 139.143281,-64.27173699999997 139.143281,-152.827v0c0,25.198207000000025 20.42407400000002,45.620000000000005 45.622281000000044,45.620000000000005c25.193644999999947,0 45.620000000000005,-20.42179299999998 45.620000000000005,-45.620000000000005c0,138.080335 -97.54012200000005,242.46573800000004 -227.38604700000002,244.05103300000002z',
        'M223.67029800000003,488.13628100000005v0c-25.193645000000004,0 -45.620000000000005,-20.426355000000058 -45.620000000000005,-45.622281000000044c0,-25.193644999999947 20.426355,-45.620000000000005 45.620000000000005,-45.620000000000005v0h1.6993450000000223c25.193645000000004,0 45.620000000000005,20.42407400000002 45.620000000000005,45.620000000000005c0,24.76253600000001 -19.726088000000004,44.91517100000004 -44.319829999999996,45.604033000000015c-0.9967969999999866,0.011404999999967913 -1.9958750000000407,0.01824800000002824 -2.999515000000031,0.01824800000002824z',
        'M454.05586000000005,244.06928100000002c0,-25.198206999999996 -20.42407400000002,-45.617718999999994 -45.620000000000005,-45.617718999999994c-25.198207000000025,0 -45.622281000000044,20.421793000000008 -45.622281000000044,45.617718999999994v0c0,-88.55298200000001 -58.516774,-152.827 -139.143281,-152.827v0h1.617229000000009c25.198206999999996,0 45.62228099999999,-20.424074000000005 45.62228099999999,-45.620000000000005c0,-24.778503 -19.755740999999972,-44.942543 -44.372292999999985,-45.606314000000005c129.918917,1.5123030000000002 227.51834500000004,105.922797 227.51834500000004,244.053314z',
        'M225.28980800000002,91.242281h-1.617229000000009c-25.193645000000004,0 -45.620000000000005,-20.424074000000005 -45.620000000000005,-45.620000000000005c0,-25.195926000000004 20.426355,-45.62228100000001 45.620000000000005,-45.62228100000001c0.9534580000000119,0 1.9160400000000095,0.006843000000000001 2.867217000000011,0.015967000000000002c24.618833000000024,0.6637710000000001 44.37229300000001,20.827811 44.37229300000001,45.60631400000001c0,25.195926 -20.426355,45.620000000000005 -45.622281000000015,45.620000000000005z',
        'M408.43586000000005,289.687c-25.198207000000025,0 -45.622281000000044,-20.42179299999998 -45.622281000000044,-45.620000000000005v0v0c0,-25.198206999999996 20.42407400000002,-45.617718999999994 45.622281000000044,-45.617718999999994c25.193644999999947,0 45.620000000000005,20.421793000000008 45.620000000000005,45.617718999999994v0v0c0,25.198207000000025 -20.42407400000002,45.620000000000005 -45.620000000000005,45.620000000000005z'
    ];
    var res = new CompoundPath();

    for (var i = 0; i < data.length; i++) {
        var path = PathItem.create(data[i]);
        path.remove();
        var prev = res;
        res = res.unite(path);
        prev.remove();
    };
    compareBoolean(function() { return res; },
        'M91.24228,396.894h132.42802c-25.19365,0 -45.62,20.42407 -45.62,45.62c0,-25.19364 20.42635,-45.62 45.62,-45.62c80.62581,0 139.14228,-64.27063 139.14328,-152.82472l0,-0.00228c-0.001,-88.55097 -58.51636,-152.82351 -139.141,-152.82472l-0.00228,0c-25.1926,-0.00123 -45.61772,-20.42483 -45.61772,-45.62c0,-25.1955 20.42566,-45.62158 45.61871,-45.62228h1.61624c0.4166,0 0.83093,0.00454 1.24526,0.0159c0.00234,0.00002 0.00467,0.00004 0.00701,0.00007c0.00058,0.00002 0.00116,0.00003 0.00173,0.00005c129.91593,1.5144 227.51285,105.92259 227.51433,244.05012c0,0.00029 0,0.00057 0,0.00086c0,0.00012 0,0.00024 0,0.00036l0,0.00192c-0.00107,138.0792 -97.54084,242.46347 -227.38605,244.04875c-0.43111,0.0114 -0.8645,0.01825 -1.30017,0.01825h-1.69934c-12.59632,0 -24.00091,-5.10618 -32.25663,-13.36168c8.2555,8.25572 19.65987,13.36168 32.25663,13.36168l-178.04574,0c-0.00076,0 -0.00152,0 -0.00228,0c-0.00076,0 -0.00152,0 -0.00228,0h0c-25.19716,-0.00123 -45.61772,-20.42483 -45.61772,-45.62228v-396.88944c0,-25.19821 20.42179,-45.62228 45.62,-45.62228c14.89455,0 28.12203,7.13863 36.44812,18.18156c-8.3258,-11.04405 -21.55413,-18.18384 -36.4504,-18.18384h178.04802c-25.19365,0 -45.62,20.42407 -45.62,45.62228c0.00456,25.19593 20.42864,45.62 45.62228,45.62l-132.42802,0zM45.62,488.13628c-25.19821,0 -45.62,-20.42407 -45.62,-45.62228c0,25.19593 20.42179,45.62228 45.62,45.62228zM226.51682,0.01575c-0.93686,-0.01114 -1.88465,-0.01567 -2.82377,-0.01575c0.93909,0.0001 1.88688,0.0068 2.82377,0.01575zM362.81358,244.06928c0.00123,25.19716 20.42483,45.61772 45.62228,45.61772c-25.19745,0 -45.62105,-20.42056 -45.62228,-45.61772z');
});

test('#1109', function() {
    var segments = [
        [274.616046379547, 215.30654471841746],
        [296.47810618021146, 202.68940186127458],
        [297.0266776087829, 160.32607960213838],
        [260.5870762798793, 181.99677727655697],
        [260.5870762798793, 207.20554804067655],
    ];

    var p1 = new CompoundPath([
        new Path.Rectangle(200, 100, 200, 200),
        new Path({ segments: segments, closed: true })
    ]);

    var p2 = new paper.CompoundPath([
        new Path.Rectangle(210, 110, 180, 180),
        new Path({ segments: segments, closed: true })
    ]);

    // Rotate segments to produce different sequence that describes same shape.
    segments.push(segments.shift());

    var p3 = new paper.CompoundPath([
        new Path.Rectangle(210, 110, 180, 180),
        new Path({ segments: segments, closed: true })
    ]);

    // Add a little spike, see #issuecomment-236026445
    segments.splice(3, 0,
        [260.5870762798793, 200],
        [265.5870762798793, 201],
        [260.5870762798793, 202]);
    var p4 = new paper.CompoundPath([
        new Path.Rectangle(210, 110, 180, 180),
        new Path({ segments: segments, closed: true })
    ]);

    compareBoolean(function() { return p1.unite(p2); },
        'M200,300v-200h200v200zM274.61605,215.30654l21.86206,-12.61714l0.54857,-42.36332l-36.4396,21.6707v25.20877z');
    compareBoolean(function() { return p1.unite(p3); },
        'M200,300v-200h200v200zM274.61605,215.30654l21.86206,-12.61714l0.54857,-42.36332l-36.4396,21.6707v25.20877z');
    compareBoolean(function() { return p1.unite(p4); },
        'M200,300v-200h200v200zM265.58708,201l-5,1v5.20555l14.02897,8.101l21.86206,-12.61714l0.54857,-42.36332l-36.4396,21.6707v18.00322z');
});

test('#1123', function() {
    var p1 = new paper.Path({
        segments: [
            [29.562573408343212, 132.54192488999095, 0, 0, -1.417935581083043, 0.174100597711913],
            [2.5662795205536213, 124.83546947214427, 13.887634830511104, -1.705187144644185, 0, 0],
            [18.447017946814753, 122.88555997766193, 0, 0, 13.88763483051116, -1.7051871446442135],
            [45.443311834604344, 130.5920153955086, -1.417935581083043, 0.17410059771188457, 0, 0]
        ],
        closed: true
    });
    var p2 = new paper.Path({
        segments: [
            [5.684341886080802e-14, 132.07000000000002, 12.910000000000025, 27.075000000000017, 21.125, -21.119999999999976],
            [44.59500000000003, 130.54000000000005, 0, 2.3300000000000125, 4.816669792192272, -4.501887430254385],
            [56.887403180177614, 116.74936916538223, -3.66267533741933, 4.517228939026069, 0.002528361414420033, 50]
        ],
        closed: true
    });
    compareBoolean(function() { return p1.intersect(p2); },
        'M29.56257,132.54192c-1.1465,0.14077 -9.00925,-6.09934 -19.31903,-7.59213c2.44054,-1.04008 4.85728,-1.65337 7.21093,-1.94237c13.88763,-1.70519 25.57836,7.88056 26.99629,7.70646zM44.75533,130.3897c0.31974,0.14538 0.55147,0.21908 0.68798,0.20232l-0.99255,0.12187c0.09534,-0.01171 0.14423,-0.06753 0.14423,-0.17388c0.05357,-0.05007 0.10701,-0.10017 0.16033,-0.1503z');
});

test('#1123', function() {
    var p1 = new Path.Rectangle(100, 100, 100, 100);
    var p2 = new Path.Rectangle(120, 120, 60, 60);
    compareBoolean(function() { return p1.subtract(p2).subtract(p2); },
        'M100,200v-100h100v100zM180,180v-60h-60v60z');
});

test('#1221', function() {
    var rect1 = new Path.Rectangle({
        point: [100, 100],
        size: [200, 200]
    });

    var circle = new Path.Circle({
        center: [100, 100],
        radius: 100
    });

    compareBoolean(function() { return rect1.subtract(circle, { trace: false }); },
        'M200,100h100v200h-200v-100');
    compareBoolean(function() { return rect1.subtract(circle, { trace: true }); },
        'M100,300v-100c55.22847,0 100,-44.77153 100,-100h100v200z');


    var blob = PathItem.create("M534,273C171.7,111,60.5,117.1,30,158c-40.5,54.3,31.5,210.2,111,222c60.8,9,88-71.9,159-66c81.6,6.8,99.6,118.3,179,128c33.8,4.1,83.1-9.7,150-90")
    var rect2 = new Path.Rectangle({
        point: [150, 100],
        size: [300, 300]
    });

    compareBoolean(function() { return blob.subtract(rect2, { trace: false }); },
        'M534,273c-29.65069,-13.2581 -57.61955,-25.39031 -84,-36.46967M150,138.13156c-71.67127,-11.53613 -105.25987,0.10217 -120,19.86844c-40.5,54.3 31.5,210.2 111,222c3.08303,0.45637 6.07967,0.68158 9,0.69867M409.85616,400c18.87105,20.95032 39.82014,38.41763 69.14384,42c33.8,4.1 83.1,-9.7 150,-90');
    compareBoolean(function() { return blob.subtract(rect2, { trace: true }); },
        'M629,352c-66.9,80.3 -116.2,94.1 -150,90c-29.3237,-3.58237 -50.27279,-21.04968 -69.14384,-42h40.14384v-163.46967c26.38045,11.07937 54.34931,23.21157 84,36.46967zM141,380c-79.5,-11.8 -151.5,-167.7 -111,-222c14.74013,-19.76627 48.32873,-31.40457 120,-19.86844v242.56712c-2.92033,-0.01709 -5.91697,-0.24231 -9,-0.69867z');

    var rect3 = new Path.Rectangle({
        point: [150, 100],
        size: [300, 150]
    });

    compareBoolean(function() { return blob.subtract(rect3, { trace: false }); },
        'M534,273c-29.65069,-13.2581 -57.61955,-25.39031 -84,-36.46967M150,138.13156c-71.67127,-11.53613 -105.25987,0.10217 -120,19.86844c-40.5,54.3 31.5,210.2 111,222c60.8,9 88,-71.9 159,-66c81.6,6.8 99.6,118.3 179,128c33.8,4.1 83.1,-9.7 150,-90');
    compareBoolean(function() { return blob.subtract(rect3, { trace: true }); },
        'M629,352c-66.9,80.3 -116.2,94.1 -150,90c-79.4,-9.7 -97.4,-121.2 -179,-128c-71,-5.9 -98.2,75 -159,66c-79.5,-11.8 -151.5,-167.7 -111,-222c14.74013,-19.76627 48.32873,-31.40457 120,-19.86844v111.86844h300v-13.46967c26.38045,11.07937 54.34931,23.21157 84,36.46967z');

    var rect4 = new Path.Rectangle({
        point: [200, 200],
        size: [400, 200]
    });

    var line = new Path.Line({
        from: [400, 300],
        to: [400, 600]
    });

    var division = line.divide(rect4, { trace: false });
    equals(function() { return division.children.length; }, 2);
    compareBoolean(function() { return division.children[0]; }, 'M400,300v100');
    compareBoolean(function() { return division.children[1]; }, 'M400,400v200');
});

test('#1239 / #1073', function() {
    var p1 = new Path([[890.91, 7.52, 0, 0, 85.40999999999997, 94.02], [1024, 351.78, 0, -127.03999999999996, 0, 127.14999999999998], [890.69, 696.28, 85.54999999999995, -94.03999999999996, 0, 0], [843.44, 653.28, 0, 0, 75.20000000000005, -82.66999999999996], [960, 351.78, 0, 111.75, 0, -111.63], [843.65, 50.51999999999998, 75.07000000000005, 82.63999999999999, 0, 0], true]);
    var p2 = new Path([[960, 352, -0.05999999999994543, 111.67999999999995, 0, 0], [1024, 352, 0, 0, -0.05999999999994543, 127.07], [890.69, 696.28, 85.5, -93.98000000000002, 0, 0], [843.44, 653.28, 0, 0, 75.14999999999998, -82.61000000000001], true]);
    project.activeLayer.scale(0.25);
    compareBoolean(function() { return p1.unite(p2); },
        'M923.0175,265.805c21.3525,23.505 33.2725,54.305 33.2725,86.065c0,0.01833 0,0.03667 -0.00001,0.055h0.00001c-0.00005,0.10258 -0.00022,0.20515 -0.00052,0.3077c-0.06338,22.18242 -5.9393,43.88534 -16.78017,62.94682c-4.63138,8.14369 -10.16899,15.8051 -16.54682,22.81548l-11.8125,-10.75c8.97181,-9.86302 16.01692,-21.11585 20.93099,-33.22212c5.34364,-13.16533 8.16725,-27.34044 8.20856,-41.83592c0.0003,-0.10564 0.00044,-0.21129 0.00044,-0.31697c0,-27.9075 -10.32,-54.655 -29.0875,-75.315z');
});

test('#1261', function() {
    var p1 = PathItem.create("M933.13,1023.97l-516.19,-171.71l607.1,-101.57z");
    var p2 = PathItem.create("M933.13,1023.97l-516.19,-171.71l67.33,-11.27l337.49,112.27c16.7,-50.22 71.03,-77.36 121.34,-60.63l45.23,-135.96l35.71,-5.98z");

    compareBoolean(function() { return p1.unite(p2); },
        'M933.13,1023.97l-516.19,-171.71l67.33,-11.27l0.0109,0.00363l539.7591,-90.30363z');
});

test('#1321', function() {
    var path = PathItem.create('M24,38l2,1l-2,1l-2,-1z M26,39l2,1l-2,1l-2,-1z M28,40l2,1l-2,1l-2,-1z')
    compareBoolean(function() { return path.unite(); },
        'M24,38l6,3l-2,1l-6,-3z');
})

test('Selected edge-cases from @hari\'s boolean-test suite', function() {
    var g = PathItem.create('M316.6,266.4Q332.6,266.4,343.8,272.8Q355,279.2,362,289.8Q369,300.4,372.2,313.6Q375.4,326.8,375.4,340.4Q375.4,354.8,372,369.2Q368.6,383.6,361.4,395Q354.2,406.4,342.4,413.4Q330.6,420.4,313.8,420.4Q297,420.4,285.8,413.4Q274.6,406.4,267.8,395Q261,383.6,258.2,369.6Q255.4,355.6,255.4,341.6Q255.4,326.8,258.8,313.2Q262.2,299.6,269.6,289.2Q277,278.8,288.6,272.6Q300.2,266.4,316.6,266.4Z M315,236.4Q288.2,236.4,269.8,246.6Q251.4,256.8,240.2,272.6Q229,288.4,224.2,307.8Q219.4,327.2,219.4,345.6Q219.4,366.8,225.2,385.8Q231,404.8,242.6,419Q254.2,433.2,271.4,441.6Q288.6,450,311.8,450Q331.8,450,349.6,441Q367.4,432,376.2,412.8L377,412.8L377,426.4Q377,443.6,373.6,458Q370.2,472.4,362.6,482.6Q355,492.8,343.4,498.6Q331.8,504.4,315,504.4Q306.6,504.4,297.4,502.6Q288.2,500.8,280.4,496.8Q272.6,492.8,267.2,486.4Q261.8,480,261.4,470.8L227.4,470.8Q228.2,487.6,236.2,499.2Q244.2,510.8,256.4,518Q268.6,525.2,283.6,528.4Q298.6,531.6,313,531.6Q362.6,531.6,385.8,506.4Q409,481.2,409,430.4L409,241.2L377,241.2L377,270.8L376.6,270.8Q367.4,253.6,351,245Q334.6,236.4,315,236.4Z');
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        'M283.8,324.71094l0,41.45422c1.42504,1.15843 2.79504,2.33005 4.11,3.51485c7.88,7.1 13.66333,14.91 17.35,23.43c3.68667,8.52667 4.97333,17.91 3.86,28.15c-0.36003,3.31143 -0.98987,6.71838 -1.88951,10.22084c1.02,0.27014 2.0765,0.50986 3.16951,0.71916c6.26667,1.2 13.8,1.8 22.6,1.8l8.39102,0c0.08444,-2.79841 -0.02257,-5.56508 -0.32102,-8.3c-0.78746,-7.20773 -2.77831,-14.50893 -5.97256,-21.90361c-1.74009,-0.09727 -3.3059,-0.2294 -4.69744,-0.39639c-3.33333,-0.4 -5.93333,-1.26667 -7.8,-2.6c-1.86667,-1.33333 -3.13333,-3.2 -3.8,-5.6c-0.66667,-2.4 -1,-5.6 -1,-9.6l0,-43.223z');
});

test('Selected test-cases provided by @iconexperience', function() {
    // Test all of test cases in one batch.
    // Read more in #784
    var paths = [[
        [[276.60479999999995, 265.6776, 2.6464000000000283, 5.646400000000028, 1.2208000000000538, -0.8512000000000057], [279.9632, 262.924, -1.0127999999999702, 1.0160000000000196, 0.019200000000012096, 3.302400000000034], [294.4, 269.31440000000003, -7.240000000000009, 0, 7.240000000000009, 0], [308.8384, 262.924, -0.020800000000008367, 3.302400000000034, 1.0112000000000307, 1.0160000000000196], [312.1968, 265.6776, -1.2224000000000501, -0.8512000000000057, -2.6464000000000283, 5.646400000000028], [294.4, 273.3128, 5.590400000000045, 0, -5.590399999999988, 0], true],
        [[294.4, 273.3128, 0, 0, -7.240000000000009, 0], [279.9808, 266.9064, 0.014400000000023283, 3.3023999999999774, 0, 0], [279.91999999999996, 253.31279999999998, 0, 0, 9.652800000000013, 0], [308.88, 253.31279999999998, -9.652800000000013, 0, 0, 0], [308.82079999999996, 266.9064, 0, 0, -0.014865740466348143, 3.068288832262283], [295.93610344888236, 273.2670371105283, 6.683812628997487, -0.3953268817066373, 5.682599074647953, -0.3268447810676207], [312.1968, 265.6776, -2.4122653499520084, 5.146166079897625, 8.40640000000002, 5.8559999999999945], [294.4, 307.1864, 16, 0.001599999999996271, 0, 0], true]
    ],
        [
            [[512, 563.0515712, 0, 0, 0, 0], [462.4499456000001, 563.0515712, 0, 0, -3.031499856000039, 0], [456.94438400000007, 557.549450576, 0, 3.031499855999982, 0, 0], true],
            [[462.4499456000001, 563.0515712, -3.031499856000039, 0, -3.0303527841790014, 0], [456.94438506256495, 557.5494505759262, 0.0018713092763391614, 3.0299308178812225, 0,0], [567.0556160000001, 564], true]
        ],
        [
            [[506.49443840000004, 600, 0, 0, 0, 0], [567.0556160000001, 623.6127488, 0, 0, 0, 3.031499856000096], [561.5500544, 629.1148694240001, 3.031499855999982, 0, 3.031499855999982, 0], [567.0556160000001, 634.620431024, 0, -3.031499855999982, 0, 0], true],
            [[561.5500544, 629.1148694240001, 3.031499855999982, 0, 3.031499855999982, 0], [567.0556160000001, 634.620431024, 0, -3.0280588800000032, 0, 0], [567.0556160000001, 656.6461184, 0, 0, 0, 3.0280588800000032], true]
        ],
        [
            [[400.81546878700505, 400.81546878700505, 79.97937495065997, -79.9793749506602, -79.97937495066014, 79.97937495065997], [111.18453121299513, 400.81546878700505, 79.97937495066012, 79.97937495065997, -79.97937495066009, -79.9793749506602], [111.18453121299507, 111.18453121299507, -79.97937495066003, 79.97937495066017, 79.97937495066009, -79.97937495066007], [400.815468787005, 111.18453121299503, -79.97937495066009, -79.97937495066003, 79.97937495066003, 79.97937495066007], true],
            [[400.815468787005, 400.815468787005, 79.97937495065997, -79.97937495066014, -79.97937495066014, 79.97937495065992], [111.18453121299507, 400.815468787005, 79.97937495066014, 79.97937495065992, -79.97937495066003, -79.9793749506602], [111.18453121299507, 111.18453121299504, -79.97937495066003, 79.97937495066014, 79.97937495066009, -79.97937495066006], [400.81546878700493, 111.184531212995, -79.97937495066009, -79.97937495066002, 79.97937495066003, 79.97937495066004], true]
        ],
        [
            [[512, 96, -125.89361307431193, 0, 168, 0], [736, 337.78, 0, -120.88999999999999, 0, 21.79000000000002], [729.34, 402.7, 4.319999999999936, -21.340000000000032, -25.649999999999977, 126.62999999999994], [512, 640, 95.85000000000002, 0, 0, 0], [288.04, 332.0799999999999, 100.000575152844760396, -0.000053268689669039304, 0.41767160812742077, -28.392122573051836], [299.43514767699014, 248.78534185388617, -7.421136238632187, 26.615225151165646, 23.67264213867054, -84.8997620019185], true],
            [[512, 96, -125.89322163652065, 0, 168, 0], [736, 337.78, 0, -120.88999999999999, 0, 151.11], [512, 640, 112, 0, -112, 0], [288, 337.78, 0, 151.11, 0, -1.9002097681526493], [288.04172546304807, 332.07984018287976, -0.02788946906741785, 1.8997402808149104, 0.4168153242491144, -28.39210955294908], [299.4351476773096, 248.7853418527407, -7.42079681324509, 26.615144268685953, 23.671675930689275, -84.89992191301803], true]
        ]];

    var results = [
        ['M276.6048,265.6776c1.22072,-0.85114 2.34544,-1.73748 3.35819,-2.75339l-0.04299,-9.61141c9.6528,0 19.3072,0 28.96,0l-0.04199,9.64131c0.0002,-0.01003 0.00032,-0.02007 0.00039,-0.03011c1.0112,1.016 2.136,1.9024 3.3584,2.7536c8.4064,5.856 -1.7968,41.5104 -17.7968,41.5088l0,-33.8736c-0.54424,0 -1.08806,-0.01754 -1.62844,-0.05139c-5.65571,-0.34382 -13.76286,-2.45483 -16.16676,-7.58381z M305.01293,271.38867c-2.95531,1.12961 -6.25621,1.70701 -8.98571,1.87282c-0.03036,0.0019 -0.06073,0.00375 -0.09111,0.00555c2.75482,-0.15845 6.09324,-0.73747 9.07682,-1.87836z'],
        ['M462.44995,563.05157c-3.0315,0 -5.50556,-2.47062 -5.50556,-5.50212l0,0l110.11123,6.45055c0,0 -107.63717,-0.94843 -104.60567,-0.94843z'],
        ['M506.49444,600l60.56118,23.61275c0,3.0315 -2.47406,5.50212 -5.50556,5.50212c3.0315,0 5.50556,2.47406 5.50556,5.50556l0,22.02569c0,2.39831 -1.552,-16.27299 -3.70373,-24.14296z'],
        ['M400.81547,400.81547c-79.97937,79.97937 -209.65156,79.97937 -289.63094,0c-79.97937,-79.97937 -79.97937,-209.65156 0,-289.63094c79.97937,-79.97937 209.65156,-79.97937 289.63094,0c79.97937,79.97937 79.97937,209.65156 0,289.63094z'],
        ['M551.12365,634.03909c-12.92155,3.89332 -26.02251,5.96091 -39.12365,5.96091c-112,0 -224,-151.11 -224,-302.22c0,-1.90016 0.01384,-3.80031 0.04172,-5.7c-0.00057,0 -0.00115,0 -0.00172,0c0.41767,-28.39212 3.97401,-56.67943 11.39515,-83.29466c23.67168,-84.89992 86.67163,-152.78534 212.56485,-152.78534c168,0 224,120.89 224,241.78c0,133.43422 -87.33052,266.86844 -184.87635,296.25909z']
    ];

    for (var i = 0; i < paths.length; i++) {
        var entry = paths[i],
            result = results[i],
            path1 = PathItem.create(entry[0]),
            path2 = PathItem.create(entry[1]);
        compareBoolean(path1.unite(path2), result[0], 'path1.unite(path2); // Test ' + (i + 1));
    }
});

test('Isolated edge-cases from @iconexperience\'s boolean-test suite', function() {
    // Test all of @iconexperience's isolated cases in one batch.
    // Read more in #784
    var paths = [[
        [[240, 270], [250.53466323186618, 221.0057178821544], [237.67824477332854, 193.79795691566554], [320, 240], true],
        [[263.31216874462405, 248.04647709671602], [230, 250], [237.6782447781314, 193.79795691339606], true]
    ], [
        [[450, 230], [362.46932779553646, 264.4394368330295], [329.00715661950534, 214.6369961279195], true],
        [[362.46932779553646, 264.4394368330295, 0, 0, 0.5029830904762775, -0.33795344231873514], [331.7750437531172, 267.3071389516512, 0.33347583635435285, -3.453534396532916, 0, 0], [329.00715661950534, 214.6369961279195], true ]
    ], [
        [[211.76470809030513, 391.5530064242439, 0, 0, -1.1306561612996688, -11.284564044000547], [206.28516988159765, 416.3206370377553, 9.29930425192211, -12.510751934521268, 0, 0], [142.17355611649077, 367.3087985311291], true],
        [[152.06363005021922, 397.5347520600572], [218.65631922872535, 332.74836297575644, 0, 0, -9.581012775680733, 10.097912103353224], [211.76470809030513, 391.55300642424385, -1.8914123817368989, -18.8773252964819, 0, 0], true ]
    ], [
        [[138.3141655808707, 456.06810826237086, 0, 0, 1.6246548956081597, -1.188772469512287], [103.70383447788026, 471.4426853592628, 15.914191732656704, 1.2415901505934812, 0, 0], [147.64340975918196, 340.17263448268653], true],
        [[102.88355437423151, 307.6462971693936], [311.9175162439421, 379.75248280363354, 0, 0, -68.45789375971557, 0.5465997368099806], [138.3141655808706, 456.06810826237097, 33.643258081480184, -24.617030422937262, 0, 0], true ]
    ], [
        [[260.5630488345416, 240.11728335016855], [230.82205831331396, 236.1805613638536], [300.041224753361, 200], [300, 300], true],
        [[290.30323645974596, 244.0538990495128], [320, 280], [230.82205831199582, 236.18056137381197], true ]
    ], [
        [[266.2339624919457, 249.28592706878334], [236.42561910533144, 245.88969337410168], [320, 240], [280, 300], true],
        [[296.03993000559, 252.68189006496056], [320, 300], [236.42561910512714, 245.8896933758947], true ]
    ], [
        [[109.2693308633721, 249.31916869409733], [157.6368865573791, 284.8238100271277], [150, 329.3972954455561], true],
        [[109.26933086337212, 249.3191686940973], [157.1468245594682, 224.11329044817836], [161.745373658654, 283.93680878488584, 0, 0, -4.753441100107182, 0.365390282896783], [157.63688655737909, 284.82381002712776, -0.5599416549340219, 0.7628019369743697, 0, 0], true ]
    ], [
        [[249.53400844979302, 269.5706278725207, 0, 0, -5.202299838213264, 1.3434437726778015], [243.02912232136828, 272.45353289318496, -0.02459817048722357, 0.029126503110205704, 0, 0], [197.1892333604494, 233.7404268430289], true],
        [[243.02912232136822, 272.453532893185, 0, 0, 0.44566136595048533, -0.527704170852985], [242.66927041668393, 276.2408467361064, -0.16957999946740188, -3.971488536288973, 0, 0], [197.18923336044946, 233.74042684302884], true ]
    ], [
        [[326.356206851053, 259.5165810014779, 0, 0, 2.309307036608857, -4.052538199979125], [327.9512902239682, 255.73918757869137, -0.3651148630259513, -1.1113992742978098, 0, 0], [384.95409529898944, 237.01272999645926], [350, 300], true],
        [[327.9512902239682, 255.73918757869126], [320, 250], [384.95409529898944, 237.01272999645937], true ]
    ], [
        [[231.45710796909526, 304.56978671182316, 0, 0, 6.965195106563414, -10.698308411775713], [230.61969090209206, 265.2654116388295, 4.522412663592235, 13.984636258635192, 0, 0], [287.7087867546365, 246.8036908431129], true],
        [[267.0542186716473, 253.4830551491999], [230.61969090209206, 265.26541163882956, 0, 0, 2.0144954400552137, 6.22941515281218], [229.4516168394906, 239.90168380046367, -4.821444118085253, 13.349082266661071, 0, 0], true ]
    ], [ // 10
        [[534.4141795042503, 349.4135521611639, 0, 0, 0.9952674258736351, -5.064332094235169], [518.8256109308445, 384.2317022309883, 13.426353275139377, -9.450213278660101, 0, 0], [487.8821067425946, 340.2688405948006], [529.4025393039343, 348.4286400051758, 0, 0, -0.93900751246872, -2.1407484665217567], true],
        [[475.5403232814915, 337.8433726698194], [538.3223483008236, 152.20174200302918], [576.6459309452254, 198.36777944721226, 0, 0, -12.4717091442418, 10.353077772467884], [534.4141795042503, 349.41355216116364, 9.869907229687897, -50.22216808367796, 0, 0], true ]
    ], [
        [[100.10301277238074, 299.8360064274938], [192.98476439737567, 381.03840618337944], [191.58826071683484, 405.5453629318501, 0, 0, 1.76117811362775, 0.1003589202450712], [158.80881838193744, 396.40041814383164, 11.345470204261431, 9.97219009394314, 0, 0], true],
        [[195.00176127688619, 345.64254151310115], [481.252611684097, 441.78388187198607], [448.747388315903, 492.21611812801393, 0, 0, -122.96965958186621, -79.25796175143017], [191.5882607168351, 405.54536293185015, 35.244503935513166, 2.0083717439883912, 0, 0], true ]
    ], [
        [[201.4099970302107, 456.883477028569], [226.29027430947582, 456.0825533500981, 0, 0, -0.2832959470065646, -8.800441169464932], [219.2838668275147, 483.73556312076016, 10.02977284964885, -11.976298343562064, 0, 0], [200, 500], true],
        [[166.32133819059692, 458.01301981440685], [204.6120898437701, 320.4482218772343], [244.3462523224993, 365.40593903584846, 0, 0, -18.086870972805855, 15.985390615581537], [226.29027430947582, 456.08255335009807, -0.8931629157136456, -27.74564118385956, 0, 0], true ]
    ], [
        [[134.30251416753708, 172.0081092040946, 0, 0, 97.01301228604092, -2.2561165647916255], [223.30038363130024, 161.29265138604404, 7.832155210448377, -11.227084549308643, 0, 0], [135.69748583246292, 231.99189079590533], true],
        [[248.04309709886002, 178.55347910623016], [223.30038363130373, 161.29265138603904, 0, 0, -6.854532836619114, 9.825701564243673], [240.2776561840474, 149.3557271403692, -14.092989377677696, 3.748174738020822, 0, 0], true ]
    ], [
        [[517.5047187481108, 202.91541735696418, 6.513140197398911, -18.244597886454756, 0, 0], [545.7583411018326, 213.0016798561104], [557.8431595513716, 185.5433980031361, -8.326516730755202, -3.664629555367924, 0, 0], [545.7583424843119, 213.00167993223172, 0, 0, -1.1368683772161603e-13, 0], true],
        [[550.3546243594556, 242.6474912770306, 0, 0, 11.17102286717818, -1.7319541248482437], [541.1620576122966, 183.35586693936358, -11.180538230113825, 1.733429385644115, 0, 0], true ]
    ], [
        [[290.1253327484206, 287.90652074109494], [342.6480156335393, 281.88796157138086], [340.20645047153664, 251.98747653472907], [370.8816252545162, 292.03012917196776], true],
        [[345.08958029318296, 311.78843842619824], [300.0082518321038, 300.98900280805503], [340.20645030689445, 251.98747654817316], true ]
    ], [
        [[371.53493854231004, 257.22260275739484, 0, 0, -5.3406979774814545, -1.8674091727692712], [360.1944182950855, 257.04852958152196, 1.4950314859081004, -0.8166674734584944, 0, 0], [430.4144838319712, 235.2349421258068, -7.8035474909103755, -18.555544116219835, 0, 0], true],
        [[360.1944182950853, 257.0485295815221, 0, 0, 0.09209791202033557, -0.05030888635417341], [358.8995515281498, 260.3188854078006, 0.4901759953118585, -3.4265416599628793, 0, 0], [300, 230], true ]
    ], [
        [[409.2490311439771, 253.4403128346141, 0, 0, -4.356295913055419, 1.322648861578557], [403.6254675741819, 256.25364724519244, 0.0777100557439212, -0.09457550986331853, 0, 0], [357.2674295740252, 218.16254181654907], true],
        [[403.625467574182, 256.2536472451924, 0, 0, 0.27347672342176566, -0.33282952001209765], [403.0346093549582, 261.0014812561057, -0.21747734382410044, -4.397037948600143, 0, 0], [357.26742957402513, 218.16254181654915], true ]
    ], [
        [[292.9399983081827, 321.04496242335836], [301.41124169557446, 297.40574481030876], [271.4382902635834, 296.1319728479751], [319.88255402047366, 273.7665574434494], true],
        [[331.38418270096264, 298.67951674085646], [350, 345.76013009266507], [271.4382902810318, 296.1319724373992], true ]
    ], [
        [[349.2988989052917, 302.360122358839], [306.8847250793194, 310.8417788081535], [317.34865046978905, 286.0848942283935], [295.03238113332606, 289.30770347326694], true],
        [[306.8847250793191, 310.8417788081534], [308.40196713650136, 308.29790890842884], [297.432392604982, 249.3091944403423], [330.2439214313423, 255.57562328972034], true ]
    ], [ // 20
        [[150, 290], [180, 260], [220, 300], true],
        [[180, 260], [230, 270], [170, 310], [220, 300], true ]
    ], [
        [[299.7385339651986, 102.20556080028058, -8.846854364457954, -13.558854632211663, 0, 0], [324.85949771228013, 85.81468459475798], [331.26017128225755, 56.500458549069435], [349.988176980811, 69.4187741812245, 0, 0, 9.063133638672639, 13.890328297113285], true],
        [[318.4609036471463, 115.11938678905685], [340.9228398583517, 111.1463404606569], [308.7912208820021, 60.47525341924158], [331.2601712818937, 56.50045854899], true ]
    ], [
        [[388.9213889025063, 223.3215931867822, 0, 0, 120.27613015930797, -2.2436869719875574], [597.6181955110758, 242.94850207232983], [628.0354673841999, 243.03685701873312, 0, 0, -0.031041118475286567, 10.686285016774008], [419.2789142850017, 364.27077547853787, 0, 0], true],
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        ['', ''],
        ['M419.20345,384.34607c5.84471,3.31306 8.73763,3.6008 9.66385,3.54578c0.42499,-0.23215 3.1344,-1.90017 6.91252,-9.02761c31.69382,-59.79056 16.74714,-243.86183 15.04159,-262.65257c-3.42808,-8.00965 -2.79156,-12.73288 -0.15048,-1.551l29.19538,-6.89574l-2.9917,-29.85552c34.20913,-3.42795 37.91991,47.22024 32.18962,22.95919c0.38462,1.62842 24.31406,221.98511 -20.27182,306.0966c-7.77973,14.6765 -19.84373,29.87172 -38.60351,37.019c-20.69209,7.88347 -41.8301,3.18373 -60.57335,-7.44083z', 'M450.8214,116.21167c-0.08956,-0.98671 -0.14261,-1.51768 -0.15048,-1.551l29.19538,-6.89574l2.99069,29.84549c-18.44587,1.84838 -28.02391,-12.02551 -32.0356,-21.39876z'],
        ['M224.2508,238.43767c2.45124,34.92471 9.86647,54.1339 17.20117,64.07402c4.07985,5.52909 8.23969,8.37799 12.35502,9.97162c7.6805,2.97421 19.93299,3.22543 38.3191,-2.95557c81.13187,-27.27474 190.74601,-146.01269 198.63572,-155.10754c0.92148,-1.70426 1.39237,-2.07227 0.44507,-0.53656l25.35355,15.63944l29.94723,-4.25223c1.89126,13.31958 -6.82114,24.30584 -4.2348,20.11304c-5.40958,8.76963 -129.41512,146.85628 -231.02757,181.01613c-24.82193,8.34458 -52.91092,12.17808 -79.10499,2.03465c-15.35707,-5.9469 -28.53272,-16.15682 -38.96756,-30.29832c-16.97074,-22.99908 -25.95119,-55.26903 -28.7747,-95.49783z', 'M490.76181,154.42020c0.26299,-0.30316 0.41295,-0.48449 0.44507,-0.53656l25.35355,15.63944l-29.45692,4.18261c-1.21879,-8.58358 1.97318,-16.16889 3.6583,-19.28549z']
    ];
    for (var i = 0; i < paths.length; i++) {
        var entry = paths[i],
            result = results[i],
            path1 = PathItem.create(entry[0]),
            path2 = PathItem.create(entry[1]);
        compareBoolean(path1.unite(path2), result[0], 'path1.unite(path2); // Test ' + (i + 1));
        compareBoolean(path1.intersect(path2), result[1], 'path1.intersect(path2); // Test ' + (i + 1));
    }
});

test('#1506', function () {
    var path1 = new Path('M250,175c27.61424,0 50,22.38576 50,50c0,27.61424 -22.38576,50 -50,50c-9.10718,0 -17.64567,-2.43486 -25,-6.68911c14.94503,-8.64524 25,-24.80383 25,-43.31089c0,-18.50706 -10.05497,-34.66565 -25,-43.31089c7.35433,-4.25425 15.89282,-6.68911 25,-6.68911z');
    var path2 = new Path('M250,225c0,-27.61424 22.38576,-50 50,-50c27.61424,0 50,22.38576 50,50c0,27.61424 -22.38576,50 -50,50c-27.61424,0 -50,-22.38576 -50,-50z');
    var result = 'M250,175c9.10718,0 17.64567,2.43486 25,6.68911c-14.94503,8.64523 -25,24.80383 -25,43.31089c0,18.50706 10.05497,34.66566 25,43.31089c-7.35433,4.25425 -15.89282,6.68911 -25,6.68911c-9.10718,0 -17.64567,-2.43486 -25,-6.68911c14.94503,-8.64524 25,-24.80383 25,-43.31089c0,-18.50706 -10.05497,-34.66565 -25,-43.31089c7.35433,-4.25425 15.89282,-6.68911 25,-6.68911z';
    compareBoolean(path1.subtract(path2), result);
});

test('#1513', function () {
    var path1  = PathItem.create('M100,200v-100h200v100z');
    var path2  = PathItem.create('M200,100c55.22847,0 100,44.77153 100,100h-200c0,-55.22847 44.77153,-100 100,-100z');
    var result = 'M100,100h200v100c0,-55.22847 -44.77153,-100 -100,-100c-55.22847,0 -100,44.77153 -100,100z';
    compareBoolean(path1.subtract(path2), result);
});

test('#1419', function() {
    var circle1 = Path.Circle({
        center: [0, 0],
        radius: 50
    });
    var circle2 = Path.Circle({
        center: circle1.position.subtract(25),
        radius: 50
    });
    var result = 'M-50,0c0,-27.61424 22.38576,-50 50,-50c7.33673,0 14.30439,1.5802 20.58119,4.41881c-7.84546,-17.34804 -25.30368,-29.41881 -45.58119,-29.41881c-27.61424,0 -50,22.38576 -50,50c0,20.27751 12.07077,37.73573 29.41881,45.58119c-2.83861,-6.2768 -4.41881,-13.24446 -4.41881,-20.58119zM50,0c0,27.61424 -22.38576,50 -50,50c-20.27751,0 -37.73573,-12.07077 -45.58119,-29.41881c6.2768,2.83861 13.24446,4.41881 20.58119,4.41881c27.61424,0 50,-22.38576 50,-50c0,-7.33673 -1.5802,-14.30439 -4.41881,-20.58119c17.34804,7.84546 29.41881,25.30368 29.41881,45.58119z';
    compareBoolean(circle1.exclude(circle2), result);
});

test('#1351', function() {
    var path1 = new CompoundPath(new Path([10, 10], [100, 100]), new Path([150, 25]));
    var path2 = new Path([20, 80], [80, 20]);
    var result = ''; // empty!
    compareBoolean(path1.unite(path2), result);
});

test('#1647', function() {
    var path1 = PathItem.create("M0,0h60v60h-60z");
    var path2 = PathItem.create("M60,47c-0.89493,-0.00177 -1.72254,0.47497 -2.17,1.25l-12.12,21c-0.44703,0.77427 -0.44656,1.72831 0.00123,2.50214c0.44779,0.77383 1.27472,1.24963 2.16877,1.24786h24.24c0.89405,0.00177 1.72098,-0.47403 2.16877,-1.24786c0.44779,-0.77383 0.44826,-1.72787 0.00123,-2.50214l-12.12,-21c-0.44746,-0.77503 -1.27507,-1.25177 -2.17,-1.25M64.33,47l12.12,21c0.89315,1.54699 0.89316,3.45295 0.00003,4.99995c-0.89313,1.547 -2.54373,2.50001 -4.33003,2.50005h-24.24c-1.78631,-0.00005 -3.4369,-0.95306 -4.33003,-2.50005c-0.89313,-1.547 -0.89312,-3.45296 0.00003,-4.99995l12.12,-21c0.88236,-1.55771 2.53981,-2.51466 4.33,-2.5c1.79019,-0.01466 3.44764,0.94229 4.33,2.5");
    path1.fillColor = path2.fillColor = 'black';
    var result = 'M57.83,48.25l-6.78143,11.75l-2.88143,0l7.50286,-13c0.88236,-1.55771 2.53981,-2.51466 4.33,-2.5v2.5c-0.89493,-0.00177 -1.72254,0.47497 -2.17,1.25z';
    compareBoolean(path1.intersect(path2), result);
});

test('#1619', function() {
    var path1 = new Path.Rectangle({
        from: [200, 600],
        to: [400, 300]
    });

    var path2 = new CompoundPath({
        children: [
            new Path({
                segments: [[420,320],[380,580],[220,580],[220,320]],
                closed: true
            }),
            new Path({
                segments: [[313.36486,413.71682],[243.351,483.70296],[313.33714,553.71682],[383.351,483.73068]],
                closed: true
            })
        ]
    });
    var result = 'M380,580h-160v-260l180,0v130zM313.36486,413.71682l-70.01386,69.98614l69.98614,70.01386l70.01386,-69.98614z';
    compareBoolean(path1.intersect(path2), result);
});