/// <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); }