paper.js/test/tests/Curve.js
2020-05-23 22:24:42 +02:00

371 lines
13 KiB
JavaScript

/*
* 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('Curve');
function testClassify(curve, expeced, message) {
var info = curve.classify();
if (expeced.type) {
equals(info.type, expeced.type,
'info.type == \'' + expeced.type + '\'');
}
if (expeced.roots !== undefined) {
equals(info.roots, expeced.roots,
'info.roots == ' + (expeced.roots ? '[' + expeced.roots + ']'
: expeced.roots));
}
}
test('Curve#classify()', function() {
var point = new Curve([100, 100], null, null, [100, 100]);
var line = new Curve([100, 100], null, null, [200, 200]);
var cusp = new Curve([100, 200], [100, -100], [-100, -100], [200, 200]);
var loop = new Curve([100, 200], [150, -100], [-150, -100], [200, 200]);
var single = new Curve([100, 100], [50, 0], [-27, -46], [200, 200]);
var double = new Curve([100, 200], [100, -100], [-40, -80], [200, 200]);
var arch = new Curve([100, 100], [50, 0], [0, -50], [200, 200]);
testClassify(point, { type: 'line', roots: null });
testClassify(line, { type: 'line', roots: null });
testClassify(cusp, { type: 'cusp', roots: [ 0.5 ] });
testClassify(loop, { type: 'loop', roots: [ 0.17267316464601132, 0.8273268353539888 ] });
testClassify(single, { type: 'serpentine', roots: [ 0.870967741935484 ] });
testClassify(double, { type: 'serpentine', roots: [ 0.15047207654837885, 0.7384168123405099 ] });
testClassify(arch, { type: 'arch', roots: null });
});
test('Curve#getPointAtTime()', function() {
var curve = new Path.Circle({
center: [100, 100],
radius: 100
}).firstCurve;
var points = [
[0, new Point(0, 100)],
[0.25, new Point(7.8585, 61.07549)],
[0.5, new Point(29.28932, 29.28932)],
[0.75, new Point(61.07549, 7.8585)],
[1, new Point(100, 0)]
];
for (var i = 0; i < points.length; i++) {
var entry = points[i];
equals(curve.getPointAtTime(entry[0]), entry[1],
'curve.getPointAtTime(' + entry[0] + ');');
// Legacy version:
equals(curve.getPointAt(entry[0], true), entry[1],
'Legacy: curve.getPointAt(' + entry[0] + ', true);');
}
equals(curve.getPointAt(curve.length + 1), null,
'Should return null when offset is out of range.');
// #960:
var curve = new Curve({
segment1: [178.58559999999994, 333.41440000000006],
segment2: [178.58559999999994, 178.58560000000008]
});
equals(curve.getPointAtTime(0).y, curve.point1.y,
'Point at t=0 should not deviate from the actual coordinates.');
equals(curve.getPointAtTime(1).y, curve.point2.y,
'Point at t=1 should not deviate from the actual coordinates.');
});
test('Curve#getTangentAtTime()', function() {
var curve = new Path.Circle({
center: [100, 100],
radius: 100
}).firstCurve;
var tangents = [
[0, new Point(0, -165.68542 )],
[0.25, new Point(60.7233, -143.56602)],
[0.5, new Point(108.57864, -108.57864)],
[0.75, new Point(143.56602, -60.7233)],
[1, new Point(165.68542, 0)]
];
for (var i = 0; i < tangents.length; i++) {
var entry = tangents[i];
equals(curve.getTangentAtTime(entry[0]), entry[1].normalize(),
'curve.getTangentAtTime(' + entry[0] + ');');
equals(curve.getWeightedTangentAtTime(entry[0]), entry[1],
'curve.getWeightedTangentAtTime(' + entry[0] + ');');
// Legacy version:
equals(curve.getTangentAt(entry[0], true), entry[1].normalize(),
'Legacy: curve.getTangentAt(' + entry[0] + ', true);');
equals(curve.getWeightedTangentAt(entry[0], true), entry[1],
'Legacy: curve.getWeightedTangentAt(' + entry[0] + ', true);');
}
});
test('Curve#getNormalAtTime()', function() {
var curve = new Path.Circle({
center: [100, 100],
radius: 100
}).firstCurve;
var normals = [
[0, new Point(-165.68542, 0)],
[0.25, new Point(-143.56602, -60.7233)],
[0.5, new Point(-108.57864, -108.57864)],
[0.75, new Point(-60.7233, -143.56602)],
[1, new Point(0, -165.68542)]
];
for (var i = 0; i < normals.length; i++) {
var entry = normals[i];
equals(curve.getNormalAtTime(entry[0]), entry[1].normalize(),
'curve.getNormalAtTime(' + entry[0] + ');');
equals(curve.getWeightedNormalAtTime(entry[0]), entry[1],
'curve.getWeightedNormalAtTime(' + entry[0] + ');');
// Legacy version:
equals(curve.getNormalAt(entry[0], true), entry[1].normalize(),
'Legacy: curve.getNormalAt(' + entry[0] + ', true);');
equals(curve.getWeightedNormalAt(entry[0], true), entry[1],
'Legacy: curve.getWeightedNormalAt(' + entry[0] + ', true);');
}
});
test('Curve#getCurvatureAtTime()', function() {
var curve = new Path.Circle({
center: [100, 100],
radius: 100
}).firstCurve;
var curvatures = [
[0, 0.009785533905932729],
[0.25, 0.010062133221584524],
[0.5, 0.009937576453041297],
[0.75, 0.010062133221584524],
[1, 0.009785533905932727]
];
for (var i = 0; i < curvatures.length; i++) {
var entry = curvatures[i];
equals(curve.getCurvatureAtTime(entry[0]), entry[1],
'curve.getCurvatureAtTime(' + entry[0] + ');');
// Legacy version:
equals(curve.getCurvatureAt(entry[0], true), entry[1],
'Legacy: curve.getCurvatureAt(' + entry[0] + ', true);');
}
});
test('Curve#getCurvatureAtTime()', function() {
var curve = new Path.Line({
from: [100, 100],
to: [200, 200],
}).firstCurve;
var curvatures = [
[0, 0],
[0.25, 0],
[0.5, 0],
[0.75, 0],
[1, 0]
];
for (var i = 0; i < curvatures.length; i++) {
var entry = curvatures[i];
equals(curve.getCurvatureAtTime(entry[0]), entry[1],
'curve.getCurvatureAtTime(' + entry[0] + ');');
// Legacy version:
equals(curve.getCurvatureAt(entry[0], true), entry[1],
'Legacy: curve.getCurvatureAt(' + entry[0] + ', true);');
}
});
test('Curve#getTimeAt()', function() {
var curve = new Path([
[[0, 0], [0, 0], [100, 0]],
[[200, 200]],
]).firstCurve;
for (var f = 0; f <= 1; f += 0.1) {
var o1 = curve.length * f,
o2 = -curve.length * (1 - f),
t1 = curve.getTimeAt(o1),
t2 = curve.getTimeAt(o2);
var message = 'Curve-time parameter at offset ' + o1
+ ' should be the same value as at offset ' + o2;
equals(t1, t2, message, Numerical.CURVETIME_EPSILON);
equals(function() { return curve.getOffsetAtTime(t1); }, o1);
equals(function() { return curve.getOffsetAtTime(t2); }, curve.length + o2);
// Legacy version:
equals(curve.getParameterAt(o1), curve.getParameterAt(o2),
'Legacy: ' + message, Numerical.CURVETIME_EPSILON);
// Test other methods with negatives offsets
equals(curve.getTangentAt(o1), curve.getTangentAt(o2),
'Tangent at offset ' + o1
+ ' should be the same value as at offset ' + o2);
}
equals(curve.getTimeAt(curve.length + 1), null,
'Should return null when offset is out of range.');
});
test('Curve#getTimeAt() with straight curve', function() {
var path = new Path();
path.moveTo(100, 100);
path.lineTo(500, 500);
var curve = path.firstCurve;
var length = curve.length;
var t = curve.getTimeAt(length / 3);
equals(t, 0.3869631475722452);
});
test('Curve#getTimeAt() with straight curve', function() {
// #1000:
var curve = new Curve([
1584.4999999999998, 1053.2499999999995,
1584.4999999999998,1053.2499999999995,
1520.5,1053.2499999999995,
1520.5,1053.2499999999995
]);
var offset = 63.999999999999716;
equals(function() { return offset < curve.length; }, true);
equals(function() { return curve.getTimeAt(offset); }, 1);
});
test('Curve#getTimeAt() with offset at end of curve', function() {
// #1149:
var curve = [-7500, 0, -7500, 4142.135623730952, -4142.135623730952, 7500, 0, 7500];
equals(Curve.getTimeAt(curve, 11782.625235553916), 1);
});
test('Curve#getLocationAt()', function() {
var curve = new Path([
[[0, 0], [0, 0], [100, 0]],
[[200, 200]],
]).firstCurve;
equals(curve.getLocationAt(curve.length + 1), null,
'Should return null when offset is out of range.');
});
test('Curve#isStraight()', function() {
equals(function() {
return new Curve([100, 100], null, null, [200, 200]).isStraight();
}, true);
equals(function() {
return new Curve([100, 100], [-50, -50], null, [200, 200]).isStraight();
}, false);
equals(function() {
return new Curve([100, 100], [50, 50], null, [200, 200]).isStraight();
}, true);
equals(function() {
return new Curve([100, 100], [50, 50], [-50, -50], [200, 200]).isStraight();
}, true);
equals(function() {
return new Curve([100, 100], [50, 50], [50, 50], [200, 200]).isStraight();
}, false);
equals(function() {
return new Curve([100, 100], null, [-50, -50], [200, 200]).isStraight();
}, true);
equals(function() {
return new Curve([100, 100], null, [50, 50], [200, 200]).isStraight();
}, false);
equals(function() {
return new Curve([100, 100], null, null, [100, 100]).isStraight();
}, true);
equals(function() {
return new Curve([100, 100], [50, 50], null, [100, 100]).isStraight();
}, false);
equals(function() {
return new Curve([100, 100], null, [-50, -50], [100, 100]).isStraight();
}, false);
equals(function() { // #1269
return new Curve([100, 300], [ 20, -20 ], [ -10, 10 ], [200, 200]).isStraight();
}, true);
});
test('Curve#isLinear()', function() {
equals(function() {
return new Curve([100, 100], [100 / 3, 100 / 3], [-100 / 3, -100 / 3], [200, 200]).isLinear();
}, true);
equals(function() {
return new Curve([100, 100], null, null, [100, 100]).isLinear();
}, true);
equals(function() {
return new Curve([100, 100], null, null, [200, 200]).isLinear();
}, false);
});
test('Curve#getTimeOf()', function() {
// #708:
var path = new Path.Rectangle({
center: new Point(300, 100),
size: new Point(100, 100),
strokeColor: 'black'
});
for (var pos = 0; pos < path.length; pos += 10) {
var point1 = path.getPointAt(pos),
point2 = null;
for (var i = 0; i < path.curves.length; i++) {
var curve = path.curves[i];
var time = curve.getTimeOf(point1);
if (time) {
// Legacy-check-hack:
equals(curve.getParameterOf(point1), time,
'Legacy: curve.getParameterOf() should return the same'
+ ' as curve.getTimeOf()');
point2 = curve.getLocationAtTime(time).point;
break;
}
}
equals(point1, point2, 'curve.getLocationAt(curve.getTimeOf('
+ point1 + ')).point;');
}
});
test('Curve#getPartLength() with straight curve', function() {
var curve = new Curve([0, 0, 0, 0, 64, 0, 64, 0]);
equals(function() { return curve.getPartLength(0.0, 0.25); }, 10);
equals(function() { return curve.getPartLength(0.25, 0.5); }, 22);
equals(function() { return curve.getPartLength(0.25, 0.75); }, 44);
equals(function() { return curve.getPartLength(0.5, 0.75); }, 22);
equals(function() { return curve.getPartLength(0.75, 1); }, 10);
});
test('Curve#divideAt(offset)', function() {
var point1 = new Point(0, 0);
var point2 = new Point(100, 0);
var middle = point1.add(point2).divide(2);
equals(function() {
return new Curve(point1, point2).divideAt(50).point1;
}, middle);
equals(function() {
return new Curve(point1, point2).divideAtTime(0.5).point1;
}, middle);
});
test('Curve#getTimesWithTangent()', function() {
var curve = new Curve([0, 0], [100, 0], [0, -100], [200, 200]);
equals(curve.getTimesWithTangent(), [], 'should return empty array when called without argument');
equals(curve.getTimesWithTangent([1, 0]), [0], 'should return tangent at start');
equals(curve.getTimesWithTangent([-1, 0]), [0], 'should return the same when called with opposite direction vector');
equals(curve.getTimesWithTangent([0, 1]), [1], 'should return tangent at end');
equals(curve.getTimesWithTangent([1, 1]), [0.5], 'should return tangent at middle');
equals(curve.getTimesWithTangent([1, -1]), [], 'should return empty array when there is no tangent');
equals(
new Curve([0, 0], [100, 0], [500, -500], [-500, -500]).getTimesWithTangent([1, 0]).length,
2,
'should return 2 values for specific self-intersecting path case'
);
equals(
new Curve([0, 0], [100, 0], [0, -100], [0, -100]).getTimesWithTangent([1, 0]).length,
2,
'should return 2 values for specific parabollic path case'
);
});