Java Code Examples for org.apache.commons.math3.geometry.euclidean.threed.Vector3D#PLUS_J
The following examples show how to use
org.apache.commons.math3.geometry.euclidean.threed.Vector3D#PLUS_J .
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Example 1
| Source File: SubCircleTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testSide() {
Circle xzPlane = new Circle(Vector3D.PLUS_J, 1.0e-10);
SubCircle sc1 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0, 5.0, 6.0);
Assert.assertEquals(Side.BOTH, sc1.side(xzPlane));
SubCircle sc2 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0);
Assert.assertEquals(Side.MINUS, sc2.side(xzPlane));
SubCircle sc3 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 5.0, 6.0);
Assert.assertEquals(Side.PLUS, sc3.side(xzPlane));
SubCircle sc4 = create(Vector3D.PLUS_J, Vector3D.PLUS_K, Vector3D.PLUS_I, 1.0e-10, 5.0, 6.0);
Assert.assertEquals(Side.HYPER, sc4.side(xzPlane));
SubCircle sc5 = create(Vector3D.MINUS_J, Vector3D.PLUS_I, Vector3D.PLUS_K, 1.0e-10, 5.0, 6.0);
Assert.assertEquals(Side.HYPER, sc5.side(xzPlane));
}
Example 2
| Source File: SubCircleTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testSPlit() {
Circle xzPlane = new Circle(Vector3D.PLUS_J, 1.0e-10);
SubCircle sc1 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split1 = sc1.split(xzPlane);
ArcsSet plus1 = (ArcsSet) ((SubCircle) split1.getPlus()).getRemainingRegion();
ArcsSet minus1 = (ArcsSet) ((SubCircle) split1.getMinus()).getRemainingRegion();
Assert.assertEquals(1, plus1.asList().size());
Assert.assertEquals(5.0, plus1.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(6.0, plus1.asList().get(0).getSup(), 1.0e-10);
Assert.assertEquals(1, minus1.asList().size());
Assert.assertEquals(1.0, minus1.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(3.0, minus1.asList().get(0).getSup(), 1.0e-10);
SubCircle sc2 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0);
SplitSubHyperplane<Sphere2D> split2 = sc2.split(xzPlane);
Assert.assertNull(split2.getPlus());
ArcsSet minus2 = (ArcsSet) ((SubCircle) split2.getMinus()).getRemainingRegion();
Assert.assertEquals(1, minus2.asList().size());
Assert.assertEquals(1.0, minus2.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(3.0, minus2.asList().get(0).getSup(), 1.0e-10);
SubCircle sc3 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split3 = sc3.split(xzPlane);
ArcsSet plus3 = (ArcsSet) ((SubCircle) split3.getPlus()).getRemainingRegion();
Assert.assertEquals(1, plus3.asList().size());
Assert.assertEquals(5.0, plus3.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(6.0, plus3.asList().get(0).getSup(), 1.0e-10);
Assert.assertNull(split3.getMinus());
SubCircle sc4 = create(Vector3D.PLUS_J, Vector3D.PLUS_K, Vector3D.PLUS_I, 1.0e-10, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split4 = sc4.split(xzPlane);
Assert.assertEquals(Side.HYPER, sc4.side(xzPlane));
Assert.assertNull(split4.getPlus());
Assert.assertTrue(split4.getMinus() == sc4);
SubCircle sc5 = create(Vector3D.MINUS_J, Vector3D.PLUS_I, Vector3D.PLUS_K, 1.0e-10, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split5 = sc5.split(xzPlane);
Assert.assertTrue(split5.getPlus() == sc5);
Assert.assertNull(split5.getMinus());
}
Example 3
| 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 4
| 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 5
| Source File: SubCircleTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testSide() {
Circle xzPlane = new Circle(Vector3D.PLUS_J, 1.0e-10);
SubCircle sc1 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0, 5.0, 6.0);
Assert.assertEquals(Side.BOTH, sc1.side(xzPlane));
SubCircle sc2 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0);
Assert.assertEquals(Side.MINUS, sc2.side(xzPlane));
SubCircle sc3 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 5.0, 6.0);
Assert.assertEquals(Side.PLUS, sc3.side(xzPlane));
SubCircle sc4 = create(Vector3D.PLUS_J, Vector3D.PLUS_K, Vector3D.PLUS_I, 1.0e-10, 5.0, 6.0);
Assert.assertEquals(Side.HYPER, sc4.side(xzPlane));
SubCircle sc5 = create(Vector3D.MINUS_J, Vector3D.PLUS_I, Vector3D.PLUS_K, 1.0e-10, 5.0, 6.0);
Assert.assertEquals(Side.HYPER, sc5.side(xzPlane));
}
Example 6
| Source File: SubCircleTest.java From astor with GNU General Public License v2.0 | 4 votes |
|
@Test
public void testSPlit() {
Circle xzPlane = new Circle(Vector3D.PLUS_J, 1.0e-10);
SubCircle sc1 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split1 = sc1.split(xzPlane);
ArcsSet plus1 = (ArcsSet) ((SubCircle) split1.getPlus()).getRemainingRegion();
ArcsSet minus1 = (ArcsSet) ((SubCircle) split1.getMinus()).getRemainingRegion();
Assert.assertEquals(1, plus1.asList().size());
Assert.assertEquals(5.0, plus1.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(6.0, plus1.asList().get(0).getSup(), 1.0e-10);
Assert.assertEquals(1, minus1.asList().size());
Assert.assertEquals(1.0, minus1.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(3.0, minus1.asList().get(0).getSup(), 1.0e-10);
SubCircle sc2 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0);
SplitSubHyperplane<Sphere2D> split2 = sc2.split(xzPlane);
Assert.assertNull(split2.getPlus());
ArcsSet minus2 = (ArcsSet) ((SubCircle) split2.getMinus()).getRemainingRegion();
Assert.assertEquals(1, minus2.asList().size());
Assert.assertEquals(1.0, minus2.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(3.0, minus2.asList().get(0).getSup(), 1.0e-10);
SubCircle sc3 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split3 = sc3.split(xzPlane);
ArcsSet plus3 = (ArcsSet) ((SubCircle) split3.getPlus()).getRemainingRegion();
Assert.assertEquals(1, plus3.asList().size());
Assert.assertEquals(5.0, plus3.asList().get(0).getInf(), 1.0e-10);
Assert.assertEquals(6.0, plus3.asList().get(0).getSup(), 1.0e-10);
Assert.assertNull(split3.getMinus());
SubCircle sc4 = create(Vector3D.PLUS_J, Vector3D.PLUS_K, Vector3D.PLUS_I, 1.0e-10, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split4 = sc4.split(xzPlane);
Assert.assertEquals(Side.HYPER, sc4.side(xzPlane));
Assert.assertNull(split4.getPlus());
Assert.assertTrue(split4.getMinus() == sc4);
SubCircle sc5 = create(Vector3D.MINUS_J, Vector3D.PLUS_I, Vector3D.PLUS_K, 1.0e-10, 5.0, 6.0);
SplitSubHyperplane<Sphere2D> split5 = sc5.split(xzPlane);
Assert.assertTrue(split5.getPlus() == sc5);
Assert.assertNull(split5.getMinus());
}
Example 7
| 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 8
| 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);
}
