public void HandlesSmallerTheta()
{
var sphereCoord1 = new SphereCoordinate(-Math.PI, 0);
var sphereCoord2 = new SphereCoordinate(-2 * Math.PI, 0);
Assert.AreEqual(new SphereCoordinate(Math.PI, 0), sphereCoord1);
Assert.AreEqual(new SphereCoordinate(0, Math.PI), sphereCoord2);
}
public void HandlesSmallerTheta()
{
var sphereCoord1 = new SphereCoordinate(-Math.PI, 0);
var sphereCoord2 = new SphereCoordinate(-2 * Math.PI, 0);
Assert.AreEqual(new SphereCoordinate(Math.PI, 0), sphereCoord1);
Assert.AreEqual(new SphereCoordinate(0, Math.PI), sphereCoord2);
}
private static void Main(string[] args)
{
var start1 = new SphereCoordinate(0.5 * Math.PI, -0.25 * Math.PI);
Console.WriteLine((CartesianVector)start1);
var end1 = new SphereCoordinate(0.5 * Math.PI, 0.25 * Math.PI);
Console.WriteLine((CartesianVector)end1);
var start2 = new SphereCoordinate(0.25 * Math.PI, 0);
Console.WriteLine((CartesianVector)start2);
var end2 = new SphereCoordinate(0.75 * Math.PI, 0);
Console.WriteLine((CartesianVector)end2);
var arc1 = new GreatCircleSegment(start1, end1);
var arc2 = new GreatCircleSegment(start2, end2);
Console.WriteLine();
Console.WriteLine(arc1.Midpoint);
Console.WriteLine(new CartesianVector(0, 0, 1));
Console.WriteLine((SphereCoordinate)arc1.Midpoint);
Console.WriteLine((SphereCoordinate) new CartesianVector(0, 0, 1));
Console.WriteLine((CartesianVector)(SphereCoordinate)arc1.Midpoint);
Console.WriteLine();
SphereCoordinate intersection;
Console.WriteLine(arc1.Intersects(arc2, out intersection) + " " + intersection + " " + (CartesianVector)intersection);
Console.WriteLine();
var quarterSpherePoly = new VoronoiCell(new SphereCoordinate(0, 0), new SphereCoordinate(0.5 * Math.PI, 0), new SphereCoordinate(0.5 * Math.PI, 0.5 * Math.PI), new SphereCoordinate(0.5 * Math.PI, Math.PI));
Console.WriteLine("Area of quarter sphere Polygon: " + quarterSpherePoly.Area);
Console.WriteLine("Area of whole sphere: " + 4 * Math.PI);
Console.WriteLine("Area of quarter sphere: " + Math.PI);
Console.WriteLine();
Console.WriteLine(Math.Acos(new CartesianVector(0, 1, 0).DotProduct(new SphereCoordinate(Math.PI / 2, 0))));
Console.WriteLine(Math.Acos(new CartesianVector(0, 1, 0).DotProduct(new SphereCoordinate(Math.PI / 2, -Math.PI / 2))));
Console.WriteLine(Math.Acos(new CartesianVector(0, 1, 0).DotProduct(new SphereCoordinate(Math.PI / 2, 0))));
Console.WriteLine(Math.Acos(new CartesianVector(0, 1, 0).DotProduct(new SphereCoordinate(Math.PI / 2, -Math.PI / 2))));
Console.WriteLine();
Console.WriteLine(Math.Acos(new CartesianVector(1, 1, 0).AsUnitVector.DotProduct(new SphereCoordinate(Math.PI / 2, 0))));
Console.WriteLine(Math.Acos(new CartesianVector(1, 1, 0).AsUnitVector.DotProduct(new SphereCoordinate(Math.PI / 4, -Math.PI / 2))));
Console.WriteLine();
Console.WriteLine(Math.Acos(new CartesianVector(0, 1, 0).DotProduct(new CartesianVector(1, 1, 0).AsUnitVector)));
Console.WriteLine(Math.PI / 4);
Console.ReadLine();
}
public void HandlesArcGoingThrough0Azimuthal()
{
var start1 = new SphereCoordinate(Math.PI / 2, 1.75 * Math.PI);
var end1 = new SphereCoordinate(Math.PI / 2, Math.PI / 4);
var start2 = new SphereCoordinate(Math.PI / 4, 0);
var end2 = new SphereCoordinate(0.75 * Math.PI, 0);
var arc1 = new GreatCircleSegment(start1, end1);
var arc2 = new GreatCircleSegment(start2, end2);
SphereCoordinate intersection;
Assert.IsTrue(arc1.Intersects(arc2, out intersection));
Assert.AreEqual(intersection, new SphereCoordinate(Math.PI / 2, 0));
}
public void HandlesArcGoingThrough0Azimuthal()
{
var start1 = new SphereCoordinate(Math.PI / 2, 1.75 * Math.PI);
var end1 = new SphereCoordinate(Math.PI / 2, Math.PI / 4);
var start2 = new SphereCoordinate(Math.PI / 4, 0);
var end2 = new SphereCoordinate(0.75 * Math.PI, 0);
var arc1 = new GreatCircleSegment(start1, end1);
var arc2 = new GreatCircleSegment(start2, end2);
SphereCoordinate intersection;
Assert.IsTrue(arc1.Intersects(arc2, out intersection));
Assert.AreEqual(intersection, new SphereCoordinate(Math.PI / 2, 0));
}
/// <summary>
/// Checks whether the given <see cref="SphereCoordinate"/> is within this <see cref="VoronoiCell"/>.
/// </summary>
/// <param name="sphereCoordinate">The <see cref="SphereCoordinate"/> to check.</param>
/// <returns>Whether the given <see cref="SphereCoordinate"/> is within this <see cref="VoronoiCell"/>.</returns>
public bool IsInside(SphereCoordinate sphereCoordinate)
{
var centerToPoint = new GreatCircleSegment(Center, sphereCoordinate);
// Check if any sides intersect with the arc from Center to point.
SphereCoordinate _;
if (startCorner == null)
{
return(FirstPart.Intersects(centerToPoint, out _));
}
else
{
foreach (var corner in Corners)
{
if (corner.ToNext.Intersects(centerToPoint, out _))
{
return(false);
}
}
}
return(true);
}
// Use this for initialization
void Start()
{
colision = false;
sphCoord = new SphereCoordinate(this.transform.position);
}
/// <summary>
/// Creates a new instance of the <see cref="VoronoiCell"/> class with the given center and sides.
/// </summary>
/// <param name="center">The point used as center for Voronoi calculations. Assumed to be inside.</param>
/// <param name="firstPart">The <see cref="GreatCircle"/> that makes the first part of the Polygon.</param>
public VoronoiCell(SphereCoordinate center, GreatCircle firstPart)
{
Center = center;
FirstPart = firstPart;
}
public Corner(SphereCoordinate point)
{
Point = point;
}
// Use this for initialization
void Start()
{
colision = false;
sphCoord = new SphereCoordinate(this.transform.position);
}
public VoronoiPoint(SphereCoordinate point, bool calculated = false, VoronoiCell polygon = null)
{
Point = point;
Calculated = calculated;
Polygon = polygon;
}
