Java Code Examples for org.apache.commons.math3.geometry.euclidean.threed.Vector3D#PLUS_K
The following examples show how to use
org.apache.commons.math3.geometry.euclidean.threed.Vector3D#PLUS_K .
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Example 1
| Source File: SubCircleTest.java From astor with GNU General Public License v2.0 | 5 votes |
|
@Test
public void testFullCircle() {
Circle circle = new Circle(Vector3D.PLUS_K, 1.0e-10);
SubCircle set = circle.wholeHyperplane();
Assert.assertEquals(MathUtils.TWO_PI, set.getSize(), 1.0e-10);
Assert.assertTrue(circle == set.getHyperplane());
Assert.assertTrue(circle != set.copySelf().getHyperplane());
}
Example 2
| Source File: CircleTest.java From astor with GNU General Public License v2.0 | 5 votes |
|
@Test
public void testOffset() {
Circle circle = new Circle(Vector3D.PLUS_K, 1.0e-10);
Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.PLUS_I)), 1.0e-10);
Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.MINUS_I)), 1.0e-10);
Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.PLUS_J)), 1.0e-10);
Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.MINUS_J)), 1.0e-10);
Assert.assertEquals(-0.5 * FastMath.PI, circle.getOffset(new S2Point(Vector3D.PLUS_K)), 1.0e-10);
Assert.assertEquals( 0.5 * FastMath.PI, circle.getOffset(new S2Point(Vector3D.MINUS_K)), 1.0e-10);
}
Example 3
| Source File: SphericalPolygonsSetTest.java From astor with GNU General Public License v2.0 | 5 votes |
|
@Test
public void testPartWithHole() {
double tol = 0.01;
double alpha = 0.7;
S2Point center = new S2Point(new Vector3D(1, 1, 1));
SphericalPolygonsSet hexa = new SphericalPolygonsSet(center.getVector(), Vector3D.PLUS_K, alpha, 6, tol);
SphericalPolygonsSet hole = new SphericalPolygonsSet(tol,
new S2Point(FastMath.PI / 6, FastMath.PI / 3),
new S2Point(FastMath.PI / 3, FastMath.PI / 3),
new S2Point(FastMath.PI / 4, FastMath.PI / 6));
SphericalPolygonsSet hexaWithHole =
(SphericalPolygonsSet) new RegionFactory<Sphere2D>().difference(hexa, hole);
for (double phi = center.getPhi() - alpha + 0.1; phi < center.getPhi() + alpha - 0.1; phi += 0.07) {
Location l = hexaWithHole.checkPoint(new S2Point(FastMath.PI / 4, phi));
if (phi < FastMath.PI / 6 || phi > FastMath.PI / 3) {
Assert.assertEquals(Location.INSIDE, l);
} else {
Assert.assertEquals(Location.OUTSIDE, l);
}
}
// there should be two separate boundary loops
Assert.assertEquals(2, hexaWithHole.getBoundaryLoops().size());
Assert.assertEquals(hexa.getBoundarySize() + hole.getBoundarySize(), hexaWithHole.getBoundarySize(), 1.0e-10);
Assert.assertEquals(hexa.getSize() - hole.getSize(), hexaWithHole.getSize(), 1.0e-10);
}
Example 4
| Source File: SubCircleTest.java From astor with GNU General Public License v2.0 | 5 votes |
|
@Test
public void testFullCircle() {
Circle circle = new Circle(Vector3D.PLUS_K, 1.0e-10);
SubCircle set = circle.wholeHyperplane();
Assert.assertEquals(MathUtils.TWO_PI, set.getSize(), 1.0e-10);
Assert.assertTrue(circle == set.getHyperplane());
Assert.assertTrue(circle != set.copySelf().getHyperplane());
}
Example 5
| Source File: CircleTest.java From astor with GNU General Public License v2.0 | 5 votes |
|
@Test
public void testOffset() {
Circle circle = new Circle(Vector3D.PLUS_K, 1.0e-10);
Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.PLUS_I)), 1.0e-10);
Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.MINUS_I)), 1.0e-10);
Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.PLUS_J)), 1.0e-10);
Assert.assertEquals(0.0, circle.getOffset(new S2Point(Vector3D.MINUS_J)), 1.0e-10);
Assert.assertEquals(-0.5 * FastMath.PI, circle.getOffset(new S2Point(Vector3D.PLUS_K)), 1.0e-10);
Assert.assertEquals( 0.5 * FastMath.PI, circle.getOffset(new S2Point(Vector3D.MINUS_K)), 1.0e-10);
}
Example 6
| Source File: SphericalPolygonsSetTest.java From astor with GNU General Public License v2.0 | 5 votes |
|
@Test
public void testPartWithHole() {
double tol = 0.01;
double alpha = 0.7;
S2Point center = new S2Point(new Vector3D(1, 1, 1));
SphericalPolygonsSet hexa = new SphericalPolygonsSet(center.getVector(), Vector3D.PLUS_K, alpha, 6, tol);
SphericalPolygonsSet hole = new SphericalPolygonsSet(tol,
new S2Point(FastMath.PI / 6, FastMath.PI / 3),
new S2Point(FastMath.PI / 3, FastMath.PI / 3),
new S2Point(FastMath.PI / 4, FastMath.PI / 6));
SphericalPolygonsSet hexaWithHole =
(SphericalPolygonsSet) new RegionFactory<Sphere2D>().difference(hexa, hole);
for (double phi = center.getPhi() - alpha + 0.1; phi < center.getPhi() + alpha - 0.1; phi += 0.07) {
Location l = hexaWithHole.checkPoint(new S2Point(FastMath.PI / 4, phi));
if (phi < FastMath.PI / 6 || phi > FastMath.PI / 3) {
Assert.assertEquals(Location.INSIDE, l);
} else {
Assert.assertEquals(Location.OUTSIDE, l);
}
}
// there should be two separate boundary loops
Assert.assertEquals(2, hexaWithHole.getBoundaryLoops().size());
Assert.assertEquals(hexa.getBoundarySize() + hole.getBoundarySize(), hexaWithHole.getBoundarySize(), 1.0e-10);
Assert.assertEquals(hexa.getSize() - hole.getSize(), hexaWithHole.getSize(), 1.0e-10);
}
Example 7
| Source File: TransformUtilTest.java From NOVA-Core with GNU Lesser General Public License v3.0 | 4 votes |
|
@Test
public void testRotate() {
Vector3D start = Vector3D.PLUS_K;
assertThat(TransformUtil.transformDirectionless(start, MatrixUtils.createRealMatrix(new Rotation(Vector3D.PLUS_J, -PI / 2).getMatrix()))).isAlmostEqualTo(Vector3D.PLUS_I);
assertThat(TransformUtil.transformDirectionless(start, MatrixUtils.createRealMatrix(new Rotation(Vector3D.PLUS_J.scalarMultiply(2), -PI / 2).getMatrix()))).isAlmostEqualTo(Vector3D.PLUS_I);
}
Example 8
| Source File: SphericalPolygonsSetTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testPositiveOctantByIntersection() {
double tol = 0.01;
double sinTol = FastMath.sin(tol);
RegionFactory<Sphere2D> factory = new RegionFactory<Sphere2D>();
SphericalPolygonsSet plusX = new SphericalPolygonsSet(Vector3D.PLUS_I, tol);
SphericalPolygonsSet plusY = new SphericalPolygonsSet(Vector3D.PLUS_J, tol);
SphericalPolygonsSet plusZ = new SphericalPolygonsSet(Vector3D.PLUS_K, tol);
SphericalPolygonsSet octant =
(SphericalPolygonsSet) factory.intersection(factory.intersection(plusX, plusY), plusZ);
UnitSphereRandomVectorGenerator random =
new UnitSphereRandomVectorGenerator(3, new Well1024a(0x9c9802fde3cbcf25l));
for (int i = 0; i < 1000; ++i) {
Vector3D v = new Vector3D(random.nextVector());
if ((v.getX() > sinTol) && (v.getY() > sinTol) && (v.getZ() > sinTol)) {
Assert.assertEquals(Location.INSIDE, octant.checkPoint(new S2Point(v)));
} else if ((v.getX() < -sinTol) || (v.getY() < -sinTol) || (v.getZ() < -sinTol)) {
Assert.assertEquals(Location.OUTSIDE, octant.checkPoint(new S2Point(v)));
} else {
Assert.assertEquals(Location.BOUNDARY, octant.checkPoint(new S2Point(v)));
}
}
List<Vertex> loops = octant.getBoundaryLoops();
Assert.assertEquals(1, loops.size());
boolean xPFound = false;
boolean yPFound = false;
boolean zPFound = false;
boolean xVFound = false;
boolean yVFound = false;
boolean zVFound = false;
Vertex first = loops.get(0);
int count = 0;
for (Vertex v = first; count == 0 || v != first; v = v.getOutgoing().getEnd()) {
++count;
Edge e = v.getIncoming();
Assert.assertTrue(v == e.getStart().getOutgoing().getEnd());
xPFound = xPFound || e.getCircle().getPole().distance(Vector3D.PLUS_I) < 1.0e-10;
yPFound = yPFound || e.getCircle().getPole().distance(Vector3D.PLUS_J) < 1.0e-10;
zPFound = zPFound || e.getCircle().getPole().distance(Vector3D.PLUS_K) < 1.0e-10;
Assert.assertEquals(0.5 * FastMath.PI, e.getLength(), 1.0e-10);
xVFound = xVFound || v.getLocation().getVector().distance(Vector3D.PLUS_I) < 1.0e-10;
yVFound = yVFound || v.getLocation().getVector().distance(Vector3D.PLUS_J) < 1.0e-10;
zVFound = zVFound || v.getLocation().getVector().distance(Vector3D.PLUS_K) < 1.0e-10;
}
Assert.assertTrue(xPFound);
Assert.assertTrue(yPFound);
Assert.assertTrue(zPFound);
Assert.assertTrue(xVFound);
Assert.assertTrue(yVFound);
Assert.assertTrue(zVFound);
Assert.assertEquals(3, count);
Assert.assertEquals(0.0,
((S2Point) octant.getBarycenter()).distance(new S2Point(new Vector3D(1, 1, 1))),
1.0e-10);
Assert.assertEquals(0.5 * FastMath.PI, octant.getSize(), 1.0e-10);
EnclosingBall<Sphere2D, S2Point> cap = octant.getEnclosingCap();
Assert.assertEquals(0.0, octant.getBarycenter().distance(cap.getCenter()), 1.0e-10);
Assert.assertEquals(FastMath.acos(1.0 / FastMath.sqrt(3)), cap.getRadius(), 1.0e-10);
EnclosingBall<Sphere2D, S2Point> reversedCap =
((SphericalPolygonsSet) factory.getComplement(octant)).getEnclosingCap();
Assert.assertEquals(0, reversedCap.getCenter().distance(new S2Point(new Vector3D(-1, -1, -1))), 1.0e-10);
Assert.assertEquals(FastMath.PI - FastMath.asin(1.0 / FastMath.sqrt(3)), reversedCap.getRadius(), 1.0e-10);
}
Example 9
| Source File: SphericalPolygonsSetTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testNonConvex() {
double tol = 0.01;
double sinTol = FastMath.sin(tol);
RegionFactory<Sphere2D> factory = new RegionFactory<Sphere2D>();
SphericalPolygonsSet plusX = new SphericalPolygonsSet(Vector3D.PLUS_I, tol);
SphericalPolygonsSet plusY = new SphericalPolygonsSet(Vector3D.PLUS_J, tol);
SphericalPolygonsSet plusZ = new SphericalPolygonsSet(Vector3D.PLUS_K, tol);
SphericalPolygonsSet threeOctants =
(SphericalPolygonsSet) factory.difference(plusZ, factory.intersection(plusX, plusY));
UnitSphereRandomVectorGenerator random =
new UnitSphereRandomVectorGenerator(3, new Well1024a(0x9c9802fde3cbcf25l));
for (int i = 0; i < 1000; ++i) {
Vector3D v = new Vector3D(random.nextVector());
if (((v.getX() < -sinTol) || (v.getY() < -sinTol)) && (v.getZ() > sinTol)) {
Assert.assertEquals(Location.INSIDE, threeOctants.checkPoint(new S2Point(v)));
} else if (((v.getX() > sinTol) && (v.getY() > sinTol)) || (v.getZ() < -sinTol)) {
Assert.assertEquals(Location.OUTSIDE, threeOctants.checkPoint(new S2Point(v)));
} else {
Assert.assertEquals(Location.BOUNDARY, threeOctants.checkPoint(new S2Point(v)));
}
}
List<Vertex> loops = threeOctants.getBoundaryLoops();
Assert.assertEquals(1, loops.size());
boolean xPFound = false;
boolean yPFound = false;
boolean zPFound = false;
boolean xVFound = false;
boolean yVFound = false;
boolean zVFound = false;
Vertex first = loops.get(0);
int count = 0;
for (Vertex v = first; count == 0 || v != first; v = v.getOutgoing().getEnd()) {
++count;
Edge e = v.getIncoming();
Assert.assertTrue(v == e.getStart().getOutgoing().getEnd());
xPFound = xPFound || e.getCircle().getPole().distance(Vector3D.MINUS_I) < 1.0e-10;
yPFound = yPFound || e.getCircle().getPole().distance(Vector3D.MINUS_J) < 1.0e-10;
zPFound = zPFound || e.getCircle().getPole().distance(Vector3D.PLUS_K) < 1.0e-10;
if (Vector3D.PLUS_K.distance(e.getCircle().getPole()) < 1.0e-10) {
Assert.assertEquals(1.5 * FastMath.PI, e.getLength(), 1.0e-10);
} else {
Assert.assertEquals(0.5 * FastMath.PI, e.getLength(), 1.0e-10);
}
xVFound = xVFound || v.getLocation().getVector().distance(Vector3D.PLUS_I) < 1.0e-10;
yVFound = yVFound || v.getLocation().getVector().distance(Vector3D.PLUS_J) < 1.0e-10;
zVFound = zVFound || v.getLocation().getVector().distance(Vector3D.PLUS_K) < 1.0e-10;
}
Assert.assertTrue(xPFound);
Assert.assertTrue(yPFound);
Assert.assertTrue(zPFound);
Assert.assertTrue(xVFound);
Assert.assertTrue(yVFound);
Assert.assertTrue(zVFound);
Assert.assertEquals(3, count);
Assert.assertEquals(1.5 * FastMath.PI, threeOctants.getSize(), 1.0e-10);
}
Example 10
| Source File: SphericalPolygonsSetTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testConcentricSubParts() {
double tol = 0.001;
Vector3D center = new Vector3D(1, 1, 1);
SphericalPolygonsSet hexaOut = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.9, 6, tol);
SphericalPolygonsSet hexaIn = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.8, 6, tol);
SphericalPolygonsSet pentaOut = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.7, 5, tol);
SphericalPolygonsSet pentaIn = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.6, 5, tol);
SphericalPolygonsSet quadriOut = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.5, 4, tol);
SphericalPolygonsSet quadriIn = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.4, 4, tol);
SphericalPolygonsSet triOut = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.25, 3, tol);
SphericalPolygonsSet triIn = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.15, 3, tol);
RegionFactory<Sphere2D> factory = new RegionFactory<Sphere2D>();
SphericalPolygonsSet hexa = (SphericalPolygonsSet) factory.difference(hexaOut, hexaIn);
SphericalPolygonsSet penta = (SphericalPolygonsSet) factory.difference(pentaOut, pentaIn);
SphericalPolygonsSet quadri = (SphericalPolygonsSet) factory.difference(quadriOut, quadriIn);
SphericalPolygonsSet tri = (SphericalPolygonsSet) factory.difference(triOut, triIn);
SphericalPolygonsSet concentric =
(SphericalPolygonsSet) factory.union(factory.union(hexa, penta), factory.union(quadri, tri));
// there should be two separate boundary loops
Assert.assertEquals(8, concentric.getBoundaryLoops().size());
Assert.assertEquals(hexaOut.getBoundarySize() + hexaIn.getBoundarySize() +
pentaOut.getBoundarySize() + pentaIn.getBoundarySize() +
quadriOut.getBoundarySize() + quadriIn.getBoundarySize() +
triOut.getBoundarySize() + triIn.getBoundarySize(),
concentric.getBoundarySize(), 1.0e-10);
Assert.assertEquals(hexaOut.getSize() - hexaIn.getSize() +
pentaOut.getSize() - pentaIn.getSize() +
quadriOut.getSize() - quadriIn.getSize() +
triOut.getSize() - triIn.getSize(),
concentric.getSize(), 1.0e-10);
// we expect lots of sign changes as we traverse all concentric rings
double phi = new S2Point(center).getPhi();
Assert.assertEquals(+0.207, concentric.projectToBoundary(new S2Point(-0.60, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.048, concentric.projectToBoundary(new S2Point(-0.21, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.027, concentric.projectToBoundary(new S2Point(-0.10, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.041, concentric.projectToBoundary(new S2Point( 0.01, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.049, concentric.projectToBoundary(new S2Point( 0.16, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.038, concentric.projectToBoundary(new S2Point( 0.29, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.097, concentric.projectToBoundary(new S2Point( 0.48, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.022, concentric.projectToBoundary(new S2Point( 0.64, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.072, concentric.projectToBoundary(new S2Point( 0.79, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.022, concentric.projectToBoundary(new S2Point( 0.93, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.091, concentric.projectToBoundary(new S2Point( 1.08, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.037, concentric.projectToBoundary(new S2Point( 1.28, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.051, concentric.projectToBoundary(new S2Point( 1.40, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.041, concentric.projectToBoundary(new S2Point( 1.55, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.027, concentric.projectToBoundary(new S2Point( 1.67, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.044, concentric.projectToBoundary(new S2Point( 1.79, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.201, concentric.projectToBoundary(new S2Point( 2.16, phi)).getOffset(), 0.01);
}
Example 11
| Source File: SphericalPolygonsSetTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testPositiveOctantByIntersection() {
double tol = 0.01;
double sinTol = FastMath.sin(tol);
RegionFactory<Sphere2D> factory = new RegionFactory<Sphere2D>();
SphericalPolygonsSet plusX = new SphericalPolygonsSet(Vector3D.PLUS_I, tol);
SphericalPolygonsSet plusY = new SphericalPolygonsSet(Vector3D.PLUS_J, tol);
SphericalPolygonsSet plusZ = new SphericalPolygonsSet(Vector3D.PLUS_K, tol);
SphericalPolygonsSet octant =
(SphericalPolygonsSet) factory.intersection(factory.intersection(plusX, plusY), plusZ);
UnitSphereRandomVectorGenerator random =
new UnitSphereRandomVectorGenerator(3, new Well1024a(0x9c9802fde3cbcf25l));
for (int i = 0; i < 1000; ++i) {
Vector3D v = new Vector3D(random.nextVector());
if ((v.getX() > sinTol) && (v.getY() > sinTol) && (v.getZ() > sinTol)) {
Assert.assertEquals(Location.INSIDE, octant.checkPoint(new S2Point(v)));
} else if ((v.getX() < -sinTol) || (v.getY() < -sinTol) || (v.getZ() < -sinTol)) {
Assert.assertEquals(Location.OUTSIDE, octant.checkPoint(new S2Point(v)));
} else {
Assert.assertEquals(Location.BOUNDARY, octant.checkPoint(new S2Point(v)));
}
}
List<Vertex> loops = octant.getBoundaryLoops();
Assert.assertEquals(1, loops.size());
boolean xPFound = false;
boolean yPFound = false;
boolean zPFound = false;
boolean xVFound = false;
boolean yVFound = false;
boolean zVFound = false;
Vertex first = loops.get(0);
int count = 0;
for (Vertex v = first; count == 0 || v != first; v = v.getOutgoing().getEnd()) {
++count;
Edge e = v.getIncoming();
Assert.assertTrue(v == e.getStart().getOutgoing().getEnd());
xPFound = xPFound || e.getCircle().getPole().distance(Vector3D.PLUS_I) < 1.0e-10;
yPFound = yPFound || e.getCircle().getPole().distance(Vector3D.PLUS_J) < 1.0e-10;
zPFound = zPFound || e.getCircle().getPole().distance(Vector3D.PLUS_K) < 1.0e-10;
Assert.assertEquals(0.5 * FastMath.PI, e.getLength(), 1.0e-10);
xVFound = xVFound || v.getLocation().getVector().distance(Vector3D.PLUS_I) < 1.0e-10;
yVFound = yVFound || v.getLocation().getVector().distance(Vector3D.PLUS_J) < 1.0e-10;
zVFound = zVFound || v.getLocation().getVector().distance(Vector3D.PLUS_K) < 1.0e-10;
}
Assert.assertTrue(xPFound);
Assert.assertTrue(yPFound);
Assert.assertTrue(zPFound);
Assert.assertTrue(xVFound);
Assert.assertTrue(yVFound);
Assert.assertTrue(zVFound);
Assert.assertEquals(3, count);
Assert.assertEquals(0.0,
((S2Point) octant.getBarycenter()).distance(new S2Point(new Vector3D(1, 1, 1))),
1.0e-10);
Assert.assertEquals(0.5 * FastMath.PI, octant.getSize(), 1.0e-10);
EnclosingBall<Sphere2D, S2Point> cap = octant.getEnclosingCap();
Assert.assertEquals(0.0, octant.getBarycenter().distance(cap.getCenter()), 1.0e-10);
Assert.assertEquals(FastMath.acos(1.0 / FastMath.sqrt(3)), cap.getRadius(), 1.0e-10);
EnclosingBall<Sphere2D, S2Point> reversedCap =
((SphericalPolygonsSet) factory.getComplement(octant)).getEnclosingCap();
Assert.assertEquals(0, reversedCap.getCenter().distance(new S2Point(new Vector3D(-1, -1, -1))), 1.0e-10);
Assert.assertEquals(FastMath.PI - FastMath.asin(1.0 / FastMath.sqrt(3)), reversedCap.getRadius(), 1.0e-10);
}
Example 12
| Source File: SphericalPolygonsSetTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testNonConvex() {
double tol = 0.01;
double sinTol = FastMath.sin(tol);
RegionFactory<Sphere2D> factory = new RegionFactory<Sphere2D>();
SphericalPolygonsSet plusX = new SphericalPolygonsSet(Vector3D.PLUS_I, tol);
SphericalPolygonsSet plusY = new SphericalPolygonsSet(Vector3D.PLUS_J, tol);
SphericalPolygonsSet plusZ = new SphericalPolygonsSet(Vector3D.PLUS_K, tol);
SphericalPolygonsSet threeOctants =
(SphericalPolygonsSet) factory.difference(plusZ, factory.intersection(plusX, plusY));
UnitSphereRandomVectorGenerator random =
new UnitSphereRandomVectorGenerator(3, new Well1024a(0x9c9802fde3cbcf25l));
for (int i = 0; i < 1000; ++i) {
Vector3D v = new Vector3D(random.nextVector());
if (((v.getX() < -sinTol) || (v.getY() < -sinTol)) && (v.getZ() > sinTol)) {
Assert.assertEquals(Location.INSIDE, threeOctants.checkPoint(new S2Point(v)));
} else if (((v.getX() > sinTol) && (v.getY() > sinTol)) || (v.getZ() < -sinTol)) {
Assert.assertEquals(Location.OUTSIDE, threeOctants.checkPoint(new S2Point(v)));
} else {
Assert.assertEquals(Location.BOUNDARY, threeOctants.checkPoint(new S2Point(v)));
}
}
List<Vertex> loops = threeOctants.getBoundaryLoops();
Assert.assertEquals(1, loops.size());
boolean xPFound = false;
boolean yPFound = false;
boolean zPFound = false;
boolean xVFound = false;
boolean yVFound = false;
boolean zVFound = false;
Vertex first = loops.get(0);
int count = 0;
for (Vertex v = first; count == 0 || v != first; v = v.getOutgoing().getEnd()) {
++count;
Edge e = v.getIncoming();
Assert.assertTrue(v == e.getStart().getOutgoing().getEnd());
xPFound = xPFound || e.getCircle().getPole().distance(Vector3D.MINUS_I) < 1.0e-10;
yPFound = yPFound || e.getCircle().getPole().distance(Vector3D.MINUS_J) < 1.0e-10;
zPFound = zPFound || e.getCircle().getPole().distance(Vector3D.PLUS_K) < 1.0e-10;
if (Vector3D.PLUS_K.distance(e.getCircle().getPole()) < 1.0e-10) {
Assert.assertEquals(1.5 * FastMath.PI, e.getLength(), 1.0e-10);
} else {
Assert.assertEquals(0.5 * FastMath.PI, e.getLength(), 1.0e-10);
}
xVFound = xVFound || v.getLocation().getVector().distance(Vector3D.PLUS_I) < 1.0e-10;
yVFound = yVFound || v.getLocation().getVector().distance(Vector3D.PLUS_J) < 1.0e-10;
zVFound = zVFound || v.getLocation().getVector().distance(Vector3D.PLUS_K) < 1.0e-10;
}
Assert.assertTrue(xPFound);
Assert.assertTrue(yPFound);
Assert.assertTrue(zPFound);
Assert.assertTrue(xVFound);
Assert.assertTrue(yVFound);
Assert.assertTrue(zVFound);
Assert.assertEquals(3, count);
Assert.assertEquals(1.5 * FastMath.PI, threeOctants.getSize(), 1.0e-10);
}
Example 13
| Source File: SphericalPolygonsSetTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testConcentricSubParts() {
double tol = 0.001;
Vector3D center = new Vector3D(1, 1, 1);
SphericalPolygonsSet hexaOut = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.9, 6, tol);
SphericalPolygonsSet hexaIn = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.8, 6, tol);
SphericalPolygonsSet pentaOut = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.7, 5, tol);
SphericalPolygonsSet pentaIn = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.6, 5, tol);
SphericalPolygonsSet quadriOut = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.5, 4, tol);
SphericalPolygonsSet quadriIn = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.4, 4, tol);
SphericalPolygonsSet triOut = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.25, 3, tol);
SphericalPolygonsSet triIn = new SphericalPolygonsSet(center, Vector3D.PLUS_K, 0.15, 3, tol);
RegionFactory<Sphere2D> factory = new RegionFactory<Sphere2D>();
SphericalPolygonsSet hexa = (SphericalPolygonsSet) factory.difference(hexaOut, hexaIn);
SphericalPolygonsSet penta = (SphericalPolygonsSet) factory.difference(pentaOut, pentaIn);
SphericalPolygonsSet quadri = (SphericalPolygonsSet) factory.difference(quadriOut, quadriIn);
SphericalPolygonsSet tri = (SphericalPolygonsSet) factory.difference(triOut, triIn);
SphericalPolygonsSet concentric =
(SphericalPolygonsSet) factory.union(factory.union(hexa, penta), factory.union(quadri, tri));
// there should be two separate boundary loops
Assert.assertEquals(8, concentric.getBoundaryLoops().size());
Assert.assertEquals(hexaOut.getBoundarySize() + hexaIn.getBoundarySize() +
pentaOut.getBoundarySize() + pentaIn.getBoundarySize() +
quadriOut.getBoundarySize() + quadriIn.getBoundarySize() +
triOut.getBoundarySize() + triIn.getBoundarySize(),
concentric.getBoundarySize(), 1.0e-10);
Assert.assertEquals(hexaOut.getSize() - hexaIn.getSize() +
pentaOut.getSize() - pentaIn.getSize() +
quadriOut.getSize() - quadriIn.getSize() +
triOut.getSize() - triIn.getSize(),
concentric.getSize(), 1.0e-10);
// we expect lots of sign changes as we traverse all concentric rings
double phi = new S2Point(center).getPhi();
Assert.assertEquals(+0.207, concentric.projectToBoundary(new S2Point(-0.60, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.048, concentric.projectToBoundary(new S2Point(-0.21, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.027, concentric.projectToBoundary(new S2Point(-0.10, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.041, concentric.projectToBoundary(new S2Point( 0.01, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.049, concentric.projectToBoundary(new S2Point( 0.16, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.038, concentric.projectToBoundary(new S2Point( 0.29, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.097, concentric.projectToBoundary(new S2Point( 0.48, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.022, concentric.projectToBoundary(new S2Point( 0.64, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.072, concentric.projectToBoundary(new S2Point( 0.79, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.022, concentric.projectToBoundary(new S2Point( 0.93, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.091, concentric.projectToBoundary(new S2Point( 1.08, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.037, concentric.projectToBoundary(new S2Point( 1.28, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.051, concentric.projectToBoundary(new S2Point( 1.40, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.041, concentric.projectToBoundary(new S2Point( 1.55, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.027, concentric.projectToBoundary(new S2Point( 1.67, phi)).getOffset(), 0.01);
Assert.assertEquals(-0.044, concentric.projectToBoundary(new S2Point( 1.79, phi)).getOffset(), 0.01);
Assert.assertEquals(+0.201, concentric.projectToBoundary(new S2Point( 2.16, phi)).getOffset(), 0.01);
}
