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22 package org.hipparchus.geometry.euclidean.twod;
23
24 import org.hipparchus.exception.MathIllegalArgumentException;
25 import org.hipparchus.geometry.Point;
26 import org.hipparchus.geometry.euclidean.oned.Euclidean1D;
27 import org.hipparchus.geometry.euclidean.oned.Vector1D;
28 import org.hipparchus.geometry.partitioning.Transform;
29 import org.hipparchus.util.FastMath;
30 import org.junit.Assert;
31 import org.junit.Test;
32
33 public class LineTest {
34
35 @Test
36 public void testContains() {
37 Line l = new Line(new Vector2D(0, 1), new Vector2D(1, 2), 1.0e-10);
38 Assert.assertTrue(l.contains(new Vector2D(0, 1)));
39 Assert.assertTrue(l.contains(new Vector2D(1, 2)));
40 Assert.assertTrue(l.contains(new Vector2D(7, 8)));
41 Assert.assertTrue(! l.contains(new Vector2D(8, 7)));
42 }
43
44 @Test
45 public void testAbscissa() {
46 Line l = new Line(new Vector2D(2, 1), new Vector2D(-2, -2), 1.0e-10);
47 Assert.assertEquals(0.0,
48 (l.toSubSpace(new Vector2D(-3, 4))).getX(),
49 1.0e-10);
50 Assert.assertEquals(0.0,
51 (l.toSubSpace(new Vector2D( 3, -4))).getX(),
52 1.0e-10);
53 Assert.assertEquals(-5.0,
54 (l.toSubSpace(new Vector2D( 7, -1))).getX(),
55 1.0e-10);
56 Assert.assertEquals( 5.0,
57 (l.toSubSpace(new Vector2D(-1, -7))).getX(),
58 1.0e-10);
59 }
60
61 @Test
62 public void testOffset() {
63 Line l = new Line(new Vector2D(2, 1), new Vector2D(-2, -2), 1.0e-10);
64 Assert.assertEquals(-5.0, l.getOffset(new Vector2D(5, -3)), 1.0e-10);
65 Assert.assertEquals(+5.0, l.getOffset(new Vector2D(-5, 2)), 1.0e-10);
66 }
67
68 @Test
69 public void testDistance() {
70 Line l = new Line(new Vector2D(2, 1), new Vector2D(-2, -2), 1.0e-10);
71 Assert.assertEquals(+5.0, l.distance(new Vector2D(5, -3)), 1.0e-10);
72 Assert.assertEquals(+5.0, l.distance(new Vector2D(-5, 2)), 1.0e-10);
73 }
74
75 @Test
76 public void testPointAt() {
77 Line l = new Line(new Vector2D(2, 1), new Vector2D(-2, -2), 1.0e-10);
78 for (double a = -2.0; a < 2.0; a += 0.2) {
79 Point<Euclidean1D> pA = new Vector1D(a);
80 Point<Euclidean2D> point = l.toSpace(pA);
81 Assert.assertEquals(a, (l.toSubSpace(point)).getX(), 1.0e-10);
82 Assert.assertEquals(0.0, l.getOffset(point), 1.0e-10);
83 for (double o = -2.0; o < 2.0; o += 0.2) {
84 point = l.getPointAt((Vector1D) pA, o);
85 Assert.assertEquals(a, (l.toSubSpace(point)).getX(), 1.0e-10);
86 Assert.assertEquals(o, l.getOffset(point), 1.0e-10);
87 }
88 }
89 }
90
91 @Test
92 public void testOriginOffset() {
93 Line l1 = new Line(new Vector2D(0, 1), new Vector2D(1, 2), 1.0e-10);
94 Assert.assertEquals(FastMath.sqrt(0.5), l1.getOriginOffset(), 1.0e-10);
95 Line l2 = new Line(new Vector2D(1, 2), new Vector2D(0, 1), 1.0e-10);
96 Assert.assertEquals(-FastMath.sqrt(0.5), l2.getOriginOffset(), 1.0e-10);
97 }
98
99 @Test
100 public void testParallel() {
101 Line l1 = new Line(new Vector2D(0, 1), new Vector2D(1, 2), 1.0e-10);
102 Line l2 = new Line(new Vector2D(2, 2), new Vector2D(3, 3), 1.0e-10);
103 Assert.assertTrue(l1.isParallelTo(l2));
104 Line l3 = new Line(new Vector2D(1, 0), new Vector2D(0.5, -0.5), 1.0e-10);
105 Assert.assertTrue(l1.isParallelTo(l3));
106 Line l4 = new Line(new Vector2D(1, 0), new Vector2D(0.5, -0.51), 1.0e-10);
107 Assert.assertTrue(! l1.isParallelTo(l4));
108 }
109
110 @Test
111 public void testTransform() throws MathIllegalArgumentException {
112
113 Line l1 = new Line(new Vector2D(1.0 ,1.0), new Vector2D(4.0 ,1.0), 1.0e-10);
114 Transform<Euclidean2D, Euclidean1D> t1 =
115 Line.getTransform(0.0, 0.5, -1.0, 0.0, 1.0, 1.5);
116 Assert.assertEquals(0.5 * FastMath.PI,
117 ((Line) t1.apply(l1)).getAngle(),
118 1.0e-10);
119
120 Line l2 = new Line(new Vector2D(0.0, 0.0), new Vector2D(1.0, 1.0), 1.0e-10);
121 Transform<Euclidean2D, Euclidean1D> t2 =
122 Line.getTransform(0.0, 0.5, -1.0, 0.0, 1.0, 1.5);
123 Assert.assertEquals(FastMath.atan2(1.0, -2.0),
124 ((Line) t2.apply(l2)).getAngle(),
125 1.0e-10);
126
127 }
128
129 @Test
130 public void testIntersection() {
131 Line l1 = new Line(new Vector2D( 0, 1), new Vector2D(1, 2), 1.0e-10);
132 Line l2 = new Line(new Vector2D(-1, 2), new Vector2D(2, 1), 1.0e-10);
133 Vector2D p = l1.intersection(l2);
134 Assert.assertEquals(0.5, p.getX(), 1.0e-10);
135 Assert.assertEquals(1.5, p.getY(), 1.0e-10);
136 }
137
138 }