public void CircleIntersectsSphereTest()
{
Point3d p = new Point3d();
Circle3d c = new Circle3d(p, 1.0, new Vector3d(0, 0, 1));
// Intersecting objects
Sphere s = new Sphere(new Point3d(0, 0, 1), 1.1);
Assert.IsTrue(c.Intersects(s));
s = new Sphere(new Point3d(0, 0, 0), 10);
Assert.IsTrue(c.Intersects(s));
s = new Sphere(new Point3d(2, 0, 0), 1.1);
Assert.IsTrue(c.Intersects(s));
// Touching objects
s = new Sphere(new Point3d(0, 0, 1), 1.0);
Assert.IsTrue(c.Intersects(s));
s = new Sphere(new Point3d(2, 0, 0), 1.0);
Assert.IsTrue(c.Intersects(s));
// Non-intersecting objects
s = new Sphere(new Point3d(3, 0, 0), 1.0);
Assert.IsFalse(c.Intersects(s));
}
public void PlanarObjectsCoplanarityTest()
{
Plane3d s1 = new Plane3d(new Point3d(1, 1, 1), new Vector3d(1, 0, 0));
Plane3d s2 = new Plane3d(new Point3d(-1, 1, 1), new Vector3d(1, 0, 0));
Plane3d s3 = new Plane3d(new Point3d(1, 2, 3), new Vector3d(-1, 0, 0));
Plane3d s4 = new Plane3d(new Point3d(1, 1, 1), new Vector3d(-1, 2, 3));
Assert.IsTrue(s1.IsCoplanarTo(s3));
Assert.IsTrue(s1.IsCoplanarTo(s1));
Assert.IsFalse(s1.IsCoplanarTo(s2));
Assert.IsFalse(s1.IsCoplanarTo(s4));
Circle3d c = new Circle3d(new Point3d(1, 2, 2), 5, new Vector3d(1, 0, 0));
Assert.IsTrue(c.IsCoplanarTo(c));
Assert.IsTrue(s1.IsCoplanarTo(c));
Assert.IsFalse(s2.IsCoplanarTo(c));
Assert.IsTrue(c.IsCoplanarTo(s1));
Assert.IsFalse(c.IsCoplanarTo(s2));
Triangle t = new Triangle(new Point3d(1, 2, 2), new Point3d(1, -5, 0), new Point3d(1, 3, -2));
Assert.IsTrue(t.IsCoplanarTo(t));
Assert.IsTrue(s1.IsCoplanarTo(t));
Assert.IsFalse(s2.IsCoplanarTo(t));
Assert.IsTrue(t.IsCoplanarTo(s1));
Assert.IsFalse(t.IsCoplanarTo(s2));
Assert.IsTrue(t.IsCoplanarTo(c));
}
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 CircleIntersectionWithPlaneTest()
{
// parallel obecjts
Circle3d c = new Circle3d(new Point3d(5, 6, 1), 5, new Vector3d(0, 0, 1));
Plane3d s = new Plane3d(new Point3d(0, 0, 0), new Vector3d(0, 0, 1));
Assert.AreEqual(c.IntersectionWith(s), null);
// coplanar objects
s = new Plane3d(new Point3d(0, 0, 1), new Vector3d(0, 0, 1));
Assert.AreEqual(c.IntersectionWith(s), c);
// nonintersecting objects
c = new Circle3d(new Point3d(5, 6, 10), 5, new Vector3d(0, 0, 1));
s = new Plane3d(new Point3d(0, 0, 1), new Vector3d(0, 0, 1));
Assert.AreEqual(c.IntersectionWith(s), null);
// intersection in one point
c = new Circle3d(new Point3d(0, 0, 3), 5, new Vector3d(3, 0, 4));
s = new Plane3d(new Point3d(5, 5, 0), new Vector3d(0, 0, 1));
Assert.AreEqual(c.IntersectionWith(s), new Point3d(4, 0, 0));
// intersection in two points
c = new Circle3d(new Point3d(0, 0, 3), 5, new Vector3d(3, 0, 0));
s = new Plane3d(new Point3d(5, 5, 0), new Vector3d(0, 0, 1));
Assert.AreEqual(c.IntersectionWith(s), new Segment3d(new Point3d(0, 4, 0), new Point3d(0, -4, 0)));
}
public void CircleIntersectionWithCircle3DTest()
{
// Touching circles
Circle3d c1 = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
Circle3d c2 = new Circle3d(new Point3d(5, 0, 0), 5, new Vector3d(1, 0, 0));
Assert.AreEqual(c1.IntersectionWith(c2), new Point3d(5, 0, 0));
// Touching circles
c2 = new Circle3d(new Point3d(10, 0, 0), 5, new Vector3d(0, 1, 0));
Assert.AreEqual(c1.IntersectionWith(c2), new Point3d(5, 0, 0));
// Intersecting circles
c2 = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 1, 0));
Segment3d s = new Segment3d(new Point3d(-5, 0, 0), new Point3d(5, 0, 0));
Assert.AreEqual(c1.IntersectionWith(c2), s);
// Intersecting circles
c2 = new Circle3d(new Point3d(5, 0, 0), 5, new Vector3d(0, 1, 0));
s = new Segment3d(new Point3d(0, 0, 0), new Point3d(5, 0, 0));
Assert.AreEqual(c1.IntersectionWith(c2), s);
// Intersecting circles
c2 = new Circle3d(new Point3d(0, 0, 4), 5, new Vector3d(0, 1, 0));
s = new Segment3d(new Point3d(-3, 0, 0), new Point3d(3, 0, 0));
Assert.AreEqual(c1.IntersectionWith(c2), s);
}
public void CircleIntersectionWithCircle2DTest()
{
// parallel obecjts
Circle3d c1 = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
Circle3d c2 = new Circle3d(new Point3d(5, 0, 1), 5, new Vector3d(0, 0, 1));
Assert.AreEqual(c1.IntersectionWith(c2), null);
// Coincided circles
c2 = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
Assert.AreEqual(c1.IntersectionWith(c2), c1);
// Separated circles
c2 = new Circle3d(new Point3d(10, 0, 0), 2, new Vector3d(0, 0, 1));
Assert.AreEqual(c1.IntersectionWith(c2), null);
// Outer tangency
c2 = new Circle3d(new Point3d(10, 0, 0), 5, new Vector3d(0, 0, 1));
Assert.AreEqual(c1.IntersectionWith(c2), new Point3d(5, 0, 0));
// Inner tangency 1
c2 = new Circle3d(new Point3d(3, 0, 0), 2, new Vector3d(0, 0, 1));
Assert.AreEqual(c1.IntersectionWith(c2), new Point3d(5, 0, 0));
// Inner tangency 2
c2 = new Circle3d(new Point3d(-2, 0, 0), 7, new Vector3d(0, 0, 1));
Assert.AreEqual(c1.IntersectionWith(c2), new Point3d(5, 0, 0));
// Intersection
c2 = new Circle3d(new Point3d(6, 0, 0), 5, new Vector3d(0, 0, 1));
Segment3d s = new Segment3d(new Point3d(3, 4, 0), new Point3d(3, -4, 0));
Assert.AreEqual(c1.IntersectionWith(c2), s);
}
public void CircleIntersectionWithLineTest()
{
// parallel obecjts
Circle3d c = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
Line3d l = new Line3d(new Point3d(0, 0, 1), new Vector3d(1, 0, 0));
Assert.AreEqual(c.IntersectionWith(l), null);
// nonintersecting objects
c = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
l = new Line3d(new Point3d(10, 0, 0), new Vector3d(1, 1, 0));
Assert.AreEqual(c.IntersectionWith(l), null);
// intersection in one point (touching line)
c = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
l = new Line3d(new Point3d(5, 0, 0), new Vector3d(0, 1, 0));
Assert.AreEqual(c.IntersectionWith(l), new Point3d(5, 0, 0));
// intersection in one point (crossing line)
c = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
l = new Line3d(new Point3d(1, 1, 0), new Vector3d(0, 0, 1));
Assert.AreEqual(c.IntersectionWith(l), new Point3d(1, 1, 0));
// intersection in two points
c = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
l = new Line3d(new Point3d(0, -4, 0), new Vector3d(1, 0, 0));
Assert.AreEqual(c.IntersectionWith(l), new Segment3d(new Point3d(-3, -4, 0), new Point3d(3, -4, 0)));
}
public void SphereProjectionToPlaneTest()
{
Sphere s = new Sphere(new Point3d(-2, -2, -2), 5);
Plane3d p = new Plane3d(new Point3d(1, 1, 1), new Vector3d(1, 1, 1));
Circle3d c = s.ProjectionTo(p);
Circle3d res = new Circle3d(new Point3d(1, 1, 1), 5, new Vector3d(-1, -1, -1));
Assert.AreEqual(c, res);
}
public void SphereIntersectionWithPlaneTest()
{
Sphere s = new Sphere(new Point3d(1, -1, 3), 3);
Plane3d p = new Plane3d(1, 4, 5, 6);
Circle3d c = (Circle3d)s.IntersectionWith(p);
Assert.IsTrue(Abs(c.R - 1.13) < 0.005);
Assert.IsTrue(c.Center.DistanceTo(new Point3d(0.57, -2.71, 0.86)) < 0.01);
}
public void CircleBoundaryDistanceToLineTest()
{
Point3d p = new Point3d();
Circle3d c = new Circle3d(p, 1.0, new Vector3d(0, 0, 1));
Point3d point_on_circle, point_on_line;
// Parallel objects
Line3d l = new Line3d(new Point3d(0, 2, 1), new Vector3d(1, 0, 0));
double dist = c.DistanceToBoundary(l, out point_on_circle, out point_on_line);
Assert.AreEqual(dist, Sqrt(2));
Assert.AreEqual(point_on_circle, new Point3d(0, 1, 0));
Assert.AreEqual(point_on_line, new Point3d(0, 2, 1));
l = new Line3d(new Point3d(0, 1, 1), new Vector3d(1, 0, 0));
dist = c.DistanceToBoundary(l, out point_on_circle, out point_on_line);
Assert.AreEqual(dist, 1);
Assert.AreEqual(point_on_circle, new Point3d(0, 1, 0));
Assert.AreEqual(point_on_line, new Point3d(0, 1, 1));
l = new Line3d(new Point3d(0, 0, 1), new Vector3d(1, 0, 0));
dist = c.DistanceToBoundary(l, out point_on_circle, out point_on_line);
Assert.AreEqual(dist, 1);
Assert.AreEqual(point_on_circle, new Point3d(1, 0, 0));
Assert.AreEqual(point_on_line, new Point3d(1, 0, 1));
// Coplanar intersecting objects
l = new Line3d(new Point3d(0, 1, 0), new Vector3d(1, 0, 0));
dist = c.DistanceToBoundary(l, out point_on_circle, out point_on_line);
Assert.AreEqual(dist, 0);
Assert.AreEqual(point_on_circle, new Point3d(0, 1, 0));
Assert.AreEqual(point_on_line, new Point3d(0, 1, 0));
// Coplanar non-intersecting objects
l = new Line3d(new Point3d(0, 2, 0), new Vector3d(1, 0, 0));
dist = c.DistanceToBoundary(l, out point_on_circle, out point_on_line);
Assert.AreEqual(dist, 1);
Assert.AreEqual(point_on_circle, new Point3d(0, 1, 0));
Assert.AreEqual(point_on_line, new Point3d(0, 2, 0));
// Intersecting objects
l = new Line3d(new Point3d(1, 0, 0), new Vector3d(1, 0, 1));
dist = c.DistanceToBoundary(l, out point_on_circle, out point_on_line);
Assert.IsTrue(GeometRi3D.AlmostEqual(dist, 0));
Assert.AreEqual(point_on_circle, new Point3d(1, 0, 0));
Assert.AreEqual(point_on_line, new Point3d(1, 0, 0));
// Non-intersecting objects
l = new Line3d(new Point3d(0, 0, 0), new Vector3d(1, 0, 1));
dist = c.DistanceToBoundary(l, out point_on_circle, out point_on_line);
Assert.IsTrue(GeometRi3D.AlmostEqual(dist, Sqrt(0.5)));
Assert.AreEqual(point_on_circle, new Point3d(-1, 0, 0));
Assert.AreEqual(point_on_line, new Point3d(-0.5, 0, -0.5));
}
public void BoxDistanceToCircleTest()
{
Box3d box = new Box3d();
Circle3d c = new Circle3d(new Point3d(-1.3195, -1.0435, -0.70047), 0.35, new Vector3d(0.83694, -0.13208, -0.53112));
double dist = box.DistanceTo(c);
Assert.IsTrue(dist > 0);
}
public void BoxIntersectsCircleTest2()
{
Box3d box = new Box3d(new Point3d(0.5, 0.5, 0.5), 1, 1, 1);
Circle3d c = new Circle3d(new Point3d(0.957494668177094, 1.08987119472114, -0.11622424522239),
0.154926580712558,
new Vector3d(0.362303959251271, 0.267138656415756, 0.892957322249635));
Assert.IsFalse(c.Intersects(box));
}
public void CircleIntersectionWithCircle3DTest_6()
{
Circle3d c1 = new Circle3d(new Point3d(0.54942463156146, 0.471633229492457, 0.687724718029017), 0.45, new Vector3d(0.00234836551341398, -0.00168595290036738, 0.00407955171963179));
Circle3d c2 = new Circle3d(new Point3d(0.466918419682331, 0.557604272259504, 0.400167832409575), 0.45, new Vector3d(0.000185747980640577, 0.0018045609707127, 0.00465929795040716));
Assert.IsTrue(c1.IntersectionWith(c2) != null);
Assert.IsTrue(c2.IntersectionWith(c1) != null);
Assert.IsTrue(c1.Intersects(c2));
Assert.IsTrue(c2.Intersects(c1));
}
public void CircleDistanceToCircleTest()
{
Circle3d c1 = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
Circle3d c2 = new Circle3d(new Point3d(11, 0, 0), 5, new Vector3d(0, 0, 1));
Assert.IsTrue(GeometRi3D.AlmostEqual(c1.DistanceTo(c2), 1));
c2 = new Circle3d(new Point3d(11, 0, 0), 5, new Vector3d(0, 2, 1));
Assert.IsTrue(GeometRi3D.AlmostEqual(c1.DistanceTo(c2), 1));
}
public void CircleAABBTest()
{
Point3d p = new Point3d(1, 1, 1);
Vector3d v = new Vector3d(3, 4, 0);
Circle3d c = new Circle3d(p, 5, v);
Box3d res = new Box3d(p, 8, 6, 10);
Assert.AreEqual(c.BoundingBox(), res);
}
public void TriangleIntersectsCircleTest()
{
Circle3d c = new Circle3d(new Point3d(), 1.0, new Vector3d(0, 0, 1));
// Coplanar objects
// Triangle's vertecx inside circle
Point3d p1 = new Point3d(0.5, 0.5, 0);
Point3d p2 = new Point3d(2, 3, 0);
Point3d p3 = new Point3d(-3, 1, 0);
Triangle t = new Triangle(p1, p2, p3);
Assert.IsTrue(c.Intersects(t));
// circle's center inside triangle
p1 = new Point3d(-5, -5, 0);
p2 = new Point3d(5, -5, 0);
p3 = new Point3d(0, 5, 0);
t = new Triangle(p1, p2, p3);
Assert.IsTrue(c.Intersects(t));
// circle touch triangle
p1 = new Point3d(1, -1, 0);
p2 = new Point3d(1, 1, 0);
p3 = new Point3d(3, 0, 0);
t = new Triangle(p1, p2, p3);
Assert.IsTrue(c.Intersects(t));
// Non-intersecting objects
p1 = new Point3d(1.5, -1, 0);
p2 = new Point3d(1.5, 1, 0);
p3 = new Point3d(3, 0, 0);
t = new Triangle(p1, p2, p3);
Assert.IsFalse(c.Intersects(t));
// Non-coplanar objects
p1 = new Point3d(0.5, 0.5, -1);
p2 = new Point3d(0.5, -0.5, 1);
p3 = new Point3d(0, 0, 1);
t = new Triangle(p1, p2, p3);
Assert.IsTrue(c.Intersects(t));
// Non-intersecting objects
p1 = new Point3d(1.5, -1, -1);
p2 = new Point3d(1.5, 1, -2);
p3 = new Point3d(3, 0, -1);
t = new Triangle(p1, p2, p3);
Assert.IsFalse(c.Intersects(t));
// Non-intersecting objects
p1 = new Point3d(1, 1, -1);
p2 = new Point3d(1, 1, -2);
p3 = new Point3d(1, 5, -1);
t = new Triangle(p1, p2, p3);
Assert.IsFalse(c.Intersects(t));
}
public void CircleBy3PointsTest()
{
Point3d p1 = new Point3d(-3, 0, 4);
Point3d p2 = new Point3d(4, 0, 5);
Point3d p3 = new Point3d(1, 0, -4);
Circle3d c = new Circle3d(p1, p2, p3);
Assert.IsTrue(c.Center == new Point3d(1, 0, 1));
Assert.IsTrue(Abs(c.R - 5) <= GeometRi3D.Tolerance);
}
public void IsInsideBoxTest()
{
Box3d box = new Box3d();
Circle3d c = new Circle3d(new Point3d(0, 0, 0), 0.2, new Vector3d(0, 0, 1));
Assert.IsTrue(c.IsInside(box));
c = new Circle3d(new Point3d(5, 0, 0), 0.2, new Vector3d(0, 0, 1));
Assert.IsFalse(c.IsInside(box));
c = new Circle3d(new Point3d(0.9, 0, 0), 0.2, new Vector3d(0, 0, 1));
Assert.IsFalse(c.IsInside(box));
}
public void CircleIntersectionWithRayTest()
{
// intersection in one point (crossing ray)
Circle3d c = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
Ray3d r = new Ray3d(new Point3d(0, 0, 0), new Vector3d(1, 0, 0));
Assert.AreEqual(c.IntersectionWith(r), new Segment3d(new Point3d(5, 0, 0), new Point3d(0, 0, 0)));
// intersection in one point (touching line)
r = new Ray3d(new Point3d(5, 0, 0), new Vector3d(1, 0, 0));
Assert.AreEqual(c.IntersectionWith(r), new Point3d(5, 0, 0));
}
public void SegmentDistanceToCircleTest()
{
Point3d p1 = new Point3d(-0.5, -0.5, -0.5);
Point3d p2 = new Point3d(0.5, 0.5, -0.5);
Segment3d s = new Segment3d(p1, p2);
Circle3d c = new Circle3d(new Point3d(-1.3195, -1.0435, -0.70047), 0.35, new Vector3d(0.83694, -0.13208, -0.53112));
double dist = s.DistanceTo(c);
Assert.IsTrue(dist > 0);
}
public void TriangleDistanceToCircleTest()
{
Point3d p1 = new Point3d(-0.5, -0.5, -0.5);
Point3d p2 = new Point3d(0.5, 0.5, -0.5);
Point3d p3 = new Point3d(0.5, -0.5, -0.5);
Triangle t = new Triangle(p1, p2, p3);
Circle3d c = new Circle3d(new Point3d(-1.3195, -1.0435, -0.70047), 0.35, new Vector3d(0.83694, -0.13208, -0.53112));
double dist = t.DistanceTo(c);
Assert.IsTrue(dist > 0);
}
public void SphereIntersectionWithSphereTest()
{
Sphere s1 = new Sphere(new Point3d(-2, 2, 4), 5);
Sphere s2 = new Sphere(new Point3d(3, 7, 3), 5);
Circle3d c1 = (Circle3d)s1.IntersectionWith(s2);
Assert.IsTrue(Abs(c1.R - 3.5) < GeometRi3D.Tolerance);
Assert.IsTrue(c1.Center == new Point3d(0.5, 4.5, 3.5));
Circle3d c2 = (Circle3d)s2.IntersectionWith(s1);
Assert.IsTrue(c1 == c2);
}
public void Circle3dRelativeToleranceTest()
{
Circle3d s1 = new Circle3d(new Point3d(100, 100, 0), 10, new Vector3d(1, 0, 0));
Circle3d s2 = new Circle3d(new Point3d(100, 100.09, 0), 10, new Vector3d(10, 0.09, 0));
Assert.AreNotEqual(s1, s2);
GeometRi3D.Tolerance = 0.01;
GeometRi3D.UseAbsoluteTolerance = false;
Assert.AreEqual(s1, s2);
GeometRi3D.Tolerance = 1e-12;
GeometRi3D.UseAbsoluteTolerance = true;
}
public void CircleToEllipseTest()
{
Circle3d c = new Circle3d(new Point3d(5, 6, 1), 5, new Vector3d(3, 0, 1));
Ellipse e = c.ToEllipse;
Assert.IsTrue(c.ParametricForm(0.5).BelongsTo(e));
Assert.IsTrue(c.ParametricForm(0.725).BelongsTo(e));
Assert.IsTrue(c.ParametricForm(2.7215).BelongsTo(e));
Assert.IsTrue(e.ParametricForm(0.5).BelongsTo(c));
Assert.IsTrue(e.ParametricForm(0.725).BelongsTo(c));
Assert.IsTrue(e.ParametricForm(2.7215).BelongsTo(c));
}
public void CircleProjectionToPlaneTest()
{
Vector3d v1 = new Vector3d(3, 5, 1);
Circle3d c = new Circle3d(new Point3d(5, 6, 1), 5, v1);
Plane3d s = new Plane3d(5, 2, 3, -3);
Point3d p = c.ParametricForm(0.5).ProjectionTo(s);
Assert.IsTrue(p.BelongsTo(c.ProjectionTo(s)));
p = c.ParametricForm(0.725).ProjectionTo(s);
Assert.IsTrue(p.BelongsTo(c.ProjectionTo(s)));
p = c.ParametricForm(2.7122).ProjectionTo(s);
Assert.IsTrue(p.BelongsTo(c.ProjectionTo(s)));
}
public void CircleDistanceToLineTest()
{
Point3d p = new Point3d();
Circle3d c = new Circle3d(p, 1.0, new Vector3d(0, 0, 1));
Point3d p1, p2;
// Parallel objects
Line3d l = new Line3d(new Point3d(0, 0, 1), new Vector3d(1, 0, 0));
double dist = c.DistanceTo(l, out p1, out p2);
Assert.AreEqual(dist, 1.0);
Assert.AreEqual(p1, p);
Assert.AreEqual(p2, new Point3d(0, 0, 1));
// Coplanar intersecting objects
l = new Line3d(new Point3d(0, 0.5, 0), new Vector3d(1, 0, 0));
dist = c.DistanceTo(l, out p1, out p2);
Assert.AreEqual(dist, 0.0);
Assert.AreEqual(p1, new Point3d(0, 0.5, 0));
Assert.AreEqual(p2, new Point3d(0, 0.5, 0));
// Coplanar non-intersecting objects
l = new Line3d(new Point3d(0, 1.5, 0), new Vector3d(1, 0, 0));
dist = c.DistanceTo(l, out p1, out p2);
Assert.AreEqual(dist, 0.5);
Assert.AreEqual(p1, new Point3d(0, 1, 0));
Assert.AreEqual(p2, new Point3d(0, 1.5, 0));
// Intersecting objects
l = new Line3d(new Point3d(0, 0.5, 0), new Vector3d(0, 0, 1));
dist = c.DistanceTo(l, out p1, out p2);
Assert.AreEqual(dist, 0.0);
Assert.AreEqual(p1, new Point3d(0, 0.5, 0));
Assert.AreEqual(p2, new Point3d(0, 0.5, 0));
// Non-intersecting objects
l = new Line3d(new Point3d(0, 1.5, 0), new Vector3d(0, 0, 1));
dist = c.DistanceTo(l, out p1, out p2);
Assert.AreEqual(dist, 0.5);
Assert.AreEqual(p1, new Point3d(0, 1, 0));
Assert.AreEqual(p2, new Point3d(0, 1.5, 0));
// Non-intersecting objects
l = new Line3d(new Point3d(0, 1.5, 0), new Vector3d(1, 0, 1));
dist = c.DistanceTo(l, out p1, out p2);
Assert.AreEqual(dist, 0.5);
Assert.AreEqual(p1, new Point3d(0, 1, 0));
Assert.AreEqual(p2, new Point3d(0, 1.5, 0));
}
public void IsParallelToTest()
{
Vector3d v = new Vector3d(1, 0, 0);
Line3d l = new Line3d(new Point3d(), v);
Ray3d r = new Ray3d(new Point3d(), v.OrthogonalVector);
Circle3d c = new Circle3d(new Point3d(), 5, v);
Assert.IsTrue(v.IsParallelTo(l));
Assert.IsTrue(l.IsNotParallelTo(r));
Assert.IsTrue(r.IsOrthogonalTo(v));
Assert.IsTrue(c.IsOrthogonalTo(l));
Assert.IsTrue(r.IsParallelTo(c));
Assert.IsTrue(c.IsParallelTo(Coord3d.GlobalCS.YZ_plane));
Assert.IsTrue(c.IsOrthogonalTo(Coord3d.GlobalCS.XZ_plane));
Assert.IsTrue(Coord3d.GlobalCS.YZ_plane.IsOrthogonalTo(v));
}
public void BoxIntersectsCircleTest()
{
Box3d box = new Box3d();
Circle3d c = new Circle3d(new Point3d(), 1, new Vector3d(0, 0, 1));
Assert.IsTrue(c.Intersects(box));
c = new Circle3d(new Point3d(1.5, 0, 0), 1, new Vector3d(0, 0, 1));
Assert.IsTrue(c.Intersects(box));
c = new Circle3d(new Point3d(0.5, 0.5, 0.5), 1, new Vector3d(1, 1, 1));
Assert.IsTrue(c.Intersects(box));
c = new Circle3d(new Point3d(0.6, 0.6, 0.6), 1, new Vector3d(1, 1, 1));
Assert.IsFalse(c.Intersects(box));
}
public void CircleDistanceToPointTest()
{
Circle3d c = new Circle3d(new Point3d(0, 0, 0), 5, new Vector3d(0, 0, 1));
Point3d p = new Point3d(2, 3, 4);
Assert.IsTrue(GeometRi3D.AlmostEqual(c.DistanceTo(p), 4));
p = new Point3d(4, 3, 0);
Assert.IsTrue(GeometRi3D.AlmostEqual(c.DistanceTo(p), 0));
p = new Point3d(2, 3, 0);
Assert.IsTrue(GeometRi3D.AlmostEqual(c.DistanceTo(p), 0));
p = new Point3d(8, 0, 4);
Assert.IsTrue(GeometRi3D.AlmostEqual(c.DistanceTo(p), 5));
}
public void CircleDistanceToPlaneTest()
{
// Parallel circle
Plane3d p = new Plane3d(new Point3d(), new Vector3d(0, 0, 1));
Circle3d c = new Circle3d(new Point3d(10, 10, 10), 5, new Vector3d(0, 0, 1));
Assert.IsTrue(GeometRi3D.AlmostEqual(c.DistanceTo(p), 10));
// Orthogonal circle
c = new Circle3d(new Point3d(10, 10, 10), 5, new Vector3d(1, 1, 0));
Assert.IsTrue(GeometRi3D.AlmostEqual(c.DistanceTo(p), 5));
// Inclined circle
c = new Circle3d(new Point3d(10, 10, 10), 5, new Vector3d(3, 0, 4));
Assert.IsTrue(GeometRi3D.AlmostEqual(c.DistanceTo(p), 7));
}