public void PointInsideRelativeTest()
{
Point3d a = new Point3d(0, 0, 0);
Point3d b = new Point3d(15, 0, 0);
Point3d p = new Point3d(0, 15, 0);
Triangle s = new Triangle(a, b, p);
double tol = GeometRi3D.Tolerance;
bool mode = GeometRi3D.UseAbsoluteTolerance;
GeometRi3D.Tolerance = 0.01;
GeometRi3D.UseAbsoluteTolerance = false;
p = new Point3d(1, 1, 0.1); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(0.2, 5, 0.0); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
// Resore initial state
GeometRi3D.UseAbsoluteTolerance = mode;
GeometRi3D.Tolerance = tol;
}
public void PointInTriangleTest()
{
Point3d a = new Point3d(0, 0, 0);
Point3d b = new Point3d(15, 0, 0);
Point3d p = new Point3d(0, 15, 0);
Triangle s = new Triangle(a, b, p);
p = new Point3d(1, 1, 0); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(10, 0, 0); // Point on boundary
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 3, 1); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(16, 0, 0); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
}
public void PointInSegmentTest()
{
Point3d p = new Point3d(0, 0, 0);
Segment3d s = new Segment3d(p, new Point3d(10, 0, 0));
p = new Point3d(5, 0, 0); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(10, 0, 0); // Point on boundary
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 3, 0); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(11, 0, 0); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
}
public void PointInCircleTest()
{
Point3d p = new Point3d(1, 1, 0);
Circle3d s = new Circle3d(p, 5, new Vector3d(0, 0, 1));
p = new Point3d(2, 2, 0); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 6, 0); // Point on boundary
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 6.005, 0); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 2, 0.01); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
}
public void PointInAlignedBoxTest()
{
Point3d p = new Point3d(1, 1, 1);
Box3d box = new Box3d(p, 8, 6, 10);
p = new Point3d(2, 2, 2); // Point inside
Assert.IsTrue(p.BelongsTo(box));
Assert.IsTrue(p.IsInside(box));
Assert.IsFalse(p.IsOutside(box));
Assert.IsFalse(p.IsOnBoundary(box));
p = new Point3d(2, 4, 2); // Point on side
Assert.IsTrue(p.BelongsTo(box));
Assert.IsFalse(p.IsInside(box));
Assert.IsFalse(p.IsOutside(box));
Assert.IsTrue(p.IsOnBoundary(box));
p = new Point3d(5, 4, 6); // Point in corner
Assert.IsTrue(p.BelongsTo(box));
Assert.IsFalse(p.IsInside(box));
Assert.IsFalse(p.IsOutside(box));
Assert.IsTrue(p.IsOnBoundary(box));
p = new Point3d(5, -5, 6); // Point outside
Assert.IsFalse(p.BelongsTo(box));
Assert.IsFalse(p.IsInside(box));
Assert.IsTrue(p.IsOutside(box));
Assert.IsFalse(p.IsOnBoundary(box));
}
public void PointInSphereRelativeTest()
{
Point3d p = new Point3d(1, 1, 1);
Sphere s = new Sphere(p, 5);
double tol = GeometRi3D.Tolerance;
bool mode = GeometRi3D.UseAbsoluteTolerance;
GeometRi3D.Tolerance = 0.01;
GeometRi3D.UseAbsoluteTolerance = false;
p = new Point3d(1, 5.9, 1); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 6.04, 1); // Point on surface
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 6.06, 1); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
// Resore initial state
GeometRi3D.UseAbsoluteTolerance = mode;
GeometRi3D.Tolerance = tol;
}
public void PointInEllipseTest()
{
Point3d p = new Point3d(1, 1, 0);
Ellipse s = new Ellipse(p, new Vector3d(10, 0, 0), new Vector3d(0, 5, 0));
p = new Point3d(2, 2, 0); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 6, 0); // Point on boundary
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 6.005, 0); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 2, 0.01); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
}
public void PointInCircleRelativeTest()
{
Point3d p = new Point3d(1, 1, 0);
Circle3d s = new Circle3d(p, 5, new Vector3d(0, 0, 1));
double tol = GeometRi3D.Tolerance;
bool mode = GeometRi3D.UseAbsoluteTolerance;
GeometRi3D.Tolerance = 0.01;
GeometRi3D.UseAbsoluteTolerance = false;
p = new Point3d(2, 2, 0.04); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 6.04, 0); // Point on boundary
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 6.06, 0); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 2, 0.06); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
// Restore initial state
GeometRi3D.UseAbsoluteTolerance = mode;
GeometRi3D.Tolerance = tol;
}
public void PointInAlignedBoxRelativeTest()
{
Point3d p = new Point3d(1, 1, 1);
Box3d box = new Box3d(p, 8, 6, 10);
double tol = GeometRi3D.Tolerance;
bool mode = GeometRi3D.UseAbsoluteTolerance;
GeometRi3D.Tolerance = 0.01;
GeometRi3D.UseAbsoluteTolerance = false;
p = new Point3d(2, 2, 2); // Point inside
Assert.IsTrue(p.BelongsTo(box));
Assert.IsTrue(p.IsInside(box));
Assert.IsFalse(p.IsOutside(box));
Assert.IsFalse(p.IsOnBoundary(box));
p = new Point3d(2, 4.1, 2); // Point on side
Assert.IsTrue(p.BelongsTo(box));
Assert.IsFalse(p.IsInside(box));
Assert.IsFalse(p.IsOutside(box));
Assert.IsTrue(p.IsOnBoundary(box));
p = new Point3d(5.1, 4, 6); // Point in corner
Assert.IsTrue(p.BelongsTo(box));
Assert.IsFalse(p.IsInside(box));
Assert.IsFalse(p.IsOutside(box));
Assert.IsTrue(p.IsOnBoundary(box));
p = new Point3d(2, 4.2, 2); // Point outside
Assert.IsFalse(p.BelongsTo(box));
Assert.IsFalse(p.IsInside(box));
Assert.IsTrue(p.IsOutside(box));
Assert.IsFalse(p.IsOnBoundary(box));
// Resore initial state
GeometRi3D.UseAbsoluteTolerance = mode;
GeometRi3D.Tolerance = tol;
}
public void PointInSegmentRelativeTest()
{
Point3d p = new Point3d(0, 0, 0);
Segment3d s = new Segment3d(p, new Point3d(10, 0, 0));
double tol = GeometRi3D.Tolerance;
bool mode = GeometRi3D.UseAbsoluteTolerance;
GeometRi3D.Tolerance = 0.01;
GeometRi3D.UseAbsoluteTolerance = false;
p = new Point3d(5, 0, 0.05); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(10.05, 0, 0); // Point on boundary
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 0.2, 0); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(10.2, 0, 0); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
// Resore initial state
GeometRi3D.UseAbsoluteTolerance = mode;
GeometRi3D.Tolerance = tol;
}
public void PointInEllipseRelativeTest()
{
Point3d p = new Point3d(1, 1, 0);
Ellipse s = new Ellipse(p, new Vector3d(10, 0, 0), new Vector3d(0, 5, 0));
double tol = GeometRi3D.Tolerance;
bool mode = GeometRi3D.UseAbsoluteTolerance;
GeometRi3D.Tolerance = 0.01;
GeometRi3D.UseAbsoluteTolerance = false;
p = new Point3d(2, 2, 0.1); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 6, 0); // Point on boundary
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 6.2, 0); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 2, 0.2); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
// Resore initial state
GeometRi3D.UseAbsoluteTolerance = mode;
GeometRi3D.Tolerance = tol;
}
public void PointInEllipsoidTest()
{
Point3d p = new Point3d(1, 1, 1);
Ellipsoid s = new Ellipsoid(p, new Vector3d(3, 0, 0), new Vector3d(0, 5, 0), new Vector3d(0, 0, 2));
p = new Point3d(2, 2, 2); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 6, 1); // Point on surface
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 6.005, 1); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
}
public void PointInSphereTest()
{
Point3d p = new Point3d(1, 1, 1);
Sphere s = new Sphere(p, 5);
p = new Point3d(2, 2, 2); // Point inside
Assert.IsTrue(p.BelongsTo(s));
Assert.IsTrue(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
p = new Point3d(1, 6, 1); // Point on surface
Assert.IsTrue(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsFalse(p.IsOutside(s));
Assert.IsTrue(p.IsOnBoundary(s));
p = new Point3d(1, 6.005, 1); // Point outside
Assert.IsFalse(p.BelongsTo(s));
Assert.IsFalse(p.IsInside(s));
Assert.IsTrue(p.IsOutside(s));
Assert.IsFalse(p.IsOnBoundary(s));
}
