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22 package org.hipparchus.geometry.enclosing;
23
24 import org.hipparchus.geometry.euclidean.threed.Euclidean3D;
25 import org.hipparchus.geometry.euclidean.threed.SphereGenerator;
26 import org.hipparchus.geometry.euclidean.threed.Vector3D;
27 import org.hipparchus.random.RandomGenerator;
28 import org.hipparchus.random.UnitSphereRandomVectorGenerator;
29 import org.hipparchus.random.Well1024a;
30 import org.junit.jupiter.api.Test;
31
32 import java.io.IOException;
33 import java.util.ArrayList;
34 import java.util.Arrays;
35 import java.util.List;
36
37 import static org.junit.jupiter.api.Assertions.assertEquals;
38 import static org.junit.jupiter.api.Assertions.assertFalse;
39 import static org.junit.jupiter.api.Assertions.assertTrue;
40
41
42 class WelzlEncloser3DTest {
43
44 @Test
45 void testNullList() {
46 SphereGenerator generator = new SphereGenerator();
47 WelzlEncloser<Euclidean3D, Vector3D> encloser =
48 new WelzlEncloser<Euclidean3D, Vector3D>(1.0e-10, generator);
49 EnclosingBall<Euclidean3D, Vector3D> ball = encloser.enclose(null);
50 assertTrue(ball.getRadius() < 0);
51 }
52
53 @Test
54 void testNoPoints() {
55 SphereGenerator generator = new SphereGenerator();
56 WelzlEncloser<Euclidean3D, Vector3D> encloser =
57 new WelzlEncloser<Euclidean3D, Vector3D>(1.0e-10, generator);
58 EnclosingBall<Euclidean3D, Vector3D> ball = encloser.enclose(new ArrayList<Vector3D>());
59 assertTrue(ball.getRadius() < 0);
60 }
61
62 @Test
63 void testReducingBall() {
64 List<Vector3D> list =
65 Arrays.asList(new Vector3D(-7.140397329568118, -16.571661242582177, 11.714458961735405),
66 new Vector3D(-7.137986707455888, -16.570767323375720, 11.708602108715928),
67 new Vector3D(-7.139185068549035, -16.570891204702250, 11.715554057357394),
68 new Vector3D(-7.142682716997507, -16.571609818234290, 11.710787934580328),
69 new Vector3D(-7.139018392423351, -16.574405614157020, 11.710518716711425),
70 new Vector3D(-7.140870659936730, -16.567993074240455, 11.710914678204503),
71 new Vector3D(-7.136350173659562, -16.570498228820930, 11.713965225900928),
72 new Vector3D(-7.141675762759172, -16.572852471407028, 11.714033471449508),
73 new Vector3D(-7.140453077221105, -16.570212820780647, 11.708624578004980),
74 new Vector3D(-7.140322188726825, -16.574152894557717, 11.710305611121410),
75 new Vector3D(-7.141116131477088, -16.574061164624560, 11.712938509321699));
76 WelzlEncloser<Euclidean3D, Vector3D> encloser =
77 new WelzlEncloser<Euclidean3D, Vector3D>(1.0e-10, new SphereGenerator());
78 EnclosingBall<Euclidean3D, Vector3D> ball = encloser.enclose(list);
79 assertTrue(ball.getRadius() > 0);
80 }
81
82 @Test
83 void testInfiniteLoop() {
84
85 List<Vector3D> list =
86 Arrays.asList(new Vector3D( -0.89227075512164380, -2.89317694645713900, 14.84572323743355500),
87 new Vector3D( -0.92099498940693580, -2.31086108263908940, 12.92071026467688300),
88 new Vector3D( -0.85227999411005200, -3.06314731441320730, 15.40163831651287000),
89 new Vector3D( -1.77399413020785970, -3.65630391378114260, 14.13190097751873400),
90 new Vector3D( 0.33157833272465354, -2.22813591757792160, 14.21225234159008200),
91 new Vector3D( -1.53065579165484400, -1.65692084770139570, 14.61483055714788500),
92 new Vector3D( -1.08457093941217140, -1.96100325935602980, 13.09265170575555000),
93 new Vector3D( 0.30029469589708850, -3.05470831395667370, 14.56352400426342600),
94 new Vector3D( -0.95007443938638460, -1.86810946486118360, 15.14491234340057000),
95 new Vector3D( -1.89661503804130830, -2.17004080885185860, 14.81235128513927000),
96 new Vector3D( -0.72193328761607530, -1.44513142833618270, 14.52355724218561800),
97 new Vector3D( -0.26895980939606550, -3.69512371522084140, 14.72272846327652000),
98 new Vector3D( -1.53501693431786170, -3.25055166611021900, 15.15509062584274800),
99 new Vector3D( -0.71727553535519410, -3.62284279460799100, 13.26256700929380700),
100 new Vector3D( -0.30220950676137365, -3.25410412500779070, 13.13682612771606000),
101 new Vector3D( -0.04543996608267075, -1.93081853923797750, 14.79497997883171400),
102 new Vector3D( -1.53348892951571640, -3.66688919703524900, 14.73095600812074200),
103 new Vector3D( -0.98034899533935820, -3.34004481162763960, 13.03245014017556800));
104
105 WelzlEncloser<Euclidean3D, Vector3D> encloser =
106 new WelzlEncloser<Euclidean3D, Vector3D>(1.0e-10, new SphereGenerator());
107 EnclosingBall<Euclidean3D, Vector3D> ball = encloser.enclose(list);
108 assertTrue(ball.getRadius() > 0);
109 }
110
111 @Test
112 void testLargeSamples() throws IOException {
113 RandomGenerator random = new Well1024a(0x35ddecfc78131e1dl);
114 final UnitSphereRandomVectorGenerator sr = new UnitSphereRandomVectorGenerator(3, random);
115 for (int k = 0; k < 50; ++k) {
116
117
118 double d = 25 * random.nextDouble();
119 double refRadius = 10 * random.nextDouble();
120 Vector3D refCenter = new Vector3D(d, new Vector3D(sr.nextVector()));
121
122 int nbPoints = random.nextInt(1000);
123 List<Vector3D> points = new ArrayList<Vector3D>();
124 for (int i = 0; i < nbPoints; ++i) {
125 double r = refRadius * random.nextDouble();
126 points.add(new Vector3D(1.0, refCenter, r, new Vector3D(sr.nextVector())));
127 }
128
129
130 checkSphere(points, refRadius);
131
132 }
133 }
134
135 @Test
136 void testIssue20Generator() {
137
138 final SupportBallGenerator<Euclidean3D, Vector3D> generator = new SphereGenerator();
139 final Vector3D p1 = new Vector3D(0.9987716667, 0.0350821284, 0.0349914572);
140 final Vector3D p2 = new Vector3D(0.9987856181, -0.0346743952, 0.0349996489);
141 final Vector3D p4 = new Vector3D(0.9987798601, 0.0350739383, -0.0347650673);
142 EnclosingBall<Euclidean3D, Vector3D> s24 = generator.ballOnSupport(Arrays.asList(p2, p4));
143 EnclosingBall<Euclidean3D, Vector3D> s142 = generator.ballOnSupport(Arrays.asList(p1, p4, p2));
144
145 assertFalse(s24.contains(p1));
146 assertTrue(s24.contains(p2));
147 assertTrue(s24.contains(p4));
148
149 assertTrue(s142.contains(p1));
150 assertTrue(s142.contains(p4));
151 assertTrue(s142.contains(p2));
152
153 assertTrue(s142.getRadius() >= s24.getRadius());
154
155 }
156
157 @Test
158 void testIssue20Encloser() {
159 final WelzlEncloser<Euclidean3D, Vector3D> encloser =
160 new WelzlEncloser<Euclidean3D, Vector3D>(1e-14, new SphereGenerator());
161 List<Vector3D> points = new ArrayList<Vector3D>();
162 points.add(new Vector3D(0.9999999731, 0.000200015, 0.0001174338));
163 points.add(new Vector3D(0.9987716667, 0.0350821284, 0.0349914572));
164 points.add(new Vector3D(0.9987856181, -0.0346743952, 0.0349996489));
165 points.add(new Vector3D(0.9987938115, -0.0346825853, -0.0347568755));
166 points.add(new Vector3D(0.9987798601, 0.0350739383, -0.0347650673));
167 EnclosingBall<Euclidean3D, Vector3D> enclosing3D = encloser.enclose(points);
168 assertEquals(0.04932531217754311, enclosing3D.getRadius(), 1.0e-15);
169 for (final Vector3D p : points) {
170 assertTrue(enclosing3D.contains(p));
171 }
172 }
173
174 private void checkSphere(List<Vector3D> points, double refRadius) {
175
176 EnclosingBall<Euclidean3D, Vector3D> sphere = checkSphere(points);
177
178
179 assertTrue(sphere.getRadius() <= refRadius);
180
181
182 for (int i = 0; i < sphere.getSupportSize(); ++i) {
183 List<Vector3D> reducedSupport = new ArrayList<Vector3D>();
184 int count = 0;
185 for (Vector3D s : sphere.getSupport()) {
186 if (count++ != i) {
187 reducedSupport.add(s);
188 }
189 }
190 EnclosingBall<Euclidean3D, Vector3D> reducedSphere =
191 new SphereGenerator().ballOnSupport(reducedSupport);
192 boolean foundOutside = false;
193 for (int j = 0; j < points.size() && !foundOutside; ++j) {
194 if (!reducedSphere.contains(points.get(j), 1.0e-10)) {
195 foundOutside = true;
196 }
197 }
198 assertTrue(foundOutside);
199 }
200
201 }
202
203 private EnclosingBall<Euclidean3D, Vector3D> checkSphere(List<Vector3D> points) {
204
205 WelzlEncloser<Euclidean3D, Vector3D> encloser =
206 new WelzlEncloser<Euclidean3D, Vector3D>(1.0e-10, new SphereGenerator());
207 EnclosingBall<Euclidean3D, Vector3D> Sphere = encloser.enclose(points);
208
209
210 for (Vector3D v : points) {
211 assertTrue(Sphere.contains(v, 1.0e-10));
212 }
213
214 for (Vector3D v : points) {
215 boolean inSupport = false;
216 for (Vector3D s : Sphere.getSupport()) {
217 if (v == s) {
218 inSupport = true;
219 }
220 }
221 if (inSupport) {
222
223 assertFalse(Sphere.contains(v, -0.001));
224 }
225 }
226
227 return Sphere;
228
229 }
230
231 }