/// <summary>
/// Tests for intersection between a <see cref="Segment"/> and a <see cref="Plane"/>.
/// </summary>
/// <param name="line">A <see cref="Segment"/> instance.</param>
/// <param name="plane">A <see cref="Plane"/> instance.</param>
/// <returns><see langword="true"/> if intersection occurs; otherwise, <see langword="false"/>.</returns>
public static bool TestIntersection(Segment segment, Plane plane)
{
// Get the position of the line's end point relative to the plane.
int sign0 = (int)plane.GetSign(segment.P0);
int sign1 = (int)plane.GetSign(segment.P1);
// Intersection occurs if the 2 endpoints are at oposite sides of the plane.
return(((sign0 > 0) && (sign1 < 0)) || ((sign0 < 0) && (sign0 > 0)));
}
/// <summary>
/// Tests for intersection between a <see cref="Ray"/> and a <see cref="Plane"/>.
/// </summary>
/// <param name="ray">A <see cref="Ray"/> instance.</param>
/// <param name="plane">A <see cref="Plane"/> instance.</param>
/// <returns>An <see cref="IntersectionPair"/> instance containing the intersection information.</returns>
public static IntersectionPair Intersects(Ray ray, Plane plane)
{
bool intersect = false;
Vector3F hitPoint = Vector3F.Zero;
float denominator = Vector3F.Dot(plane.Normal, ray.Direction);
// Check if the ray is parrallel to the plane
if (MathFunctions.ApproxEquals(denominator, 0.0f))
{
// If the line is parallel to the plane it only intersects the plane if it is on the plane.
intersect = (plane.GetSign(ray.Origin) == MathFunctions.Sign.Zero);
if (intersect)
{
hitPoint = ray.Origin;
}
}
else
{
float t = (plane.Constant - Vector3F.Dot(plane.Normal, ray.Origin)) / denominator;
hitPoint = ray.Origin + ray.Direction * t;
intersect = true;
}
return(new IntersectionPair(intersect, hitPoint));
}
/// <summary>
/// Tests for intersection between a <see cref="Segment"/> and a <see cref="Plane"/>.
/// </summary>
/// <param name="line">A <see cref="Segment"/> instance.</param>
/// <param name="plane">A <see cref="Plane"/> instance.</param>
/// <returns><see langword="true"/> if intersection occurs; otherwise, <see langword="false"/>.</returns>
public static bool TestIntersection(Segment segment, Plane plane)
{
// Get the position of the line's end point relative to the plane.
int sign0 = (int)plane.GetSign(segment.P0);
int sign1 = (int)plane.GetSign(segment.P1);
// Intersection occurs if the 2 endpoints are at oposite sides of the plane.
return ( ((sign0 > 0) && (sign1 < 0)) || ((sign0 < 0) && (sign0 > 0)) );
}
/// <summary>
/// Tests for intersection between a <see cref="Ray"/> and a <see cref="Plane"/>.
/// </summary>
/// <param name="ray">A <see cref="Ray"/> instance.</param>
/// <param name="plane">A <see cref="Plane"/> instance.</param>
/// <returns>An <see cref="IntersectionPair"/> instance containing the intersection information.</returns>
public static IntersectionPair Intersects(Ray ray, Plane plane)
{
bool intersect = false;
Vector3F hitPoint = Vector3F.Zero;
float denominator = Vector3F.Dot(plane.Normal, ray.Direction);
// Check if the ray is parrallel to the plane
if (MathFunctions.ApproxEquals(denominator, 0.0f))
{
// If the line is parallel to the plane it only intersects the plane if it is on the plane.
intersect = (plane.GetSign(ray.Origin) == MathFunctions.Sign.Zero);
if (intersect)
hitPoint = ray.Origin;
}
else
{
float t = (plane.Constant - Vector3F.Dot(plane.Normal, ray.Origin)) / denominator;
hitPoint = ray.Origin + ray.Direction * t;
intersect = true;
}
return new IntersectionPair(intersect, hitPoint);
}
