using System; namespace Godot { public struct Plane : IEquatable { Vector3 normal; public float x { get { return normal.x; } set { normal.x = value; } } public float y { get { return normal.y; } set { normal.y = value; } } public float z { get { return normal.z; } set { normal.z = value; } } float d; public Vector3 Center { get { return normal * d; } } public float DistanceTo(Vector3 point) { return normal.Dot(point) - d; } public Vector3 GetAnyPoint() { return normal * d; } public bool HasPoint(Vector3 point, float epsilon = Mathf.Epsilon) { float dist = normal.Dot(point) - d; return Mathf.Abs(dist) <= epsilon; } public Vector3 Intersect3(Plane b, Plane c) { float denom = normal.Cross(b.normal).Dot(c.normal); if (Mathf.Abs(denom) <= Mathf.Epsilon) return new Vector3(); Vector3 result = (b.normal.Cross(c.normal) * this.d) + (c.normal.Cross(normal) * b.d) + (normal.Cross(b.normal) * c.d); return result / denom; } public Vector3 IntersectRay(Vector3 from, Vector3 dir) { float den = normal.Dot(dir); if (Mathf.Abs(den) <= Mathf.Epsilon) return new Vector3(); float dist = (normal.Dot(from) - d) / den; // This is a ray, before the emitting pos (from) does not exist if (dist > Mathf.Epsilon) return new Vector3(); return from + dir * -dist; } public Vector3 IntersectSegment(Vector3 begin, Vector3 end) { Vector3 segment = begin - end; float den = normal.Dot(segment); if (Mathf.Abs(den) <= Mathf.Epsilon) return new Vector3(); float dist = (normal.Dot(begin) - d) / den; if (dist < -Mathf.Epsilon || dist > (1.0f + Mathf.Epsilon)) return new Vector3(); return begin + segment * -dist; } public bool IsPointOver(Vector3 point) { return normal.Dot(point) > d; } public Plane Normalized() { float len = normal.Length(); if (len == 0) return new Plane(0, 0, 0, 0); return new Plane(normal / len, d / len); } public Vector3 Project(Vector3 point) { return point - normal * DistanceTo(point); } public Plane(float a, float b, float c, float d) { normal = new Vector3(a, b, c); this.d = d; } public Plane(Vector3 normal, float d) { this.normal = normal; this.d = d; } public Plane(Vector3 v1, Vector3 v2, Vector3 v3) { normal = (v1 - v3).Cross(v1 - v2); normal.Normalize(); d = normal.Dot(v1); } public static Plane operator -(Plane plane) { return new Plane(-plane.normal, -plane.d); } public static bool operator ==(Plane left, Plane right) { return left.Equals(right); } public static bool operator !=(Plane left, Plane right) { return !left.Equals(right); } public override bool Equals(object obj) { if (obj is Plane) { return Equals((Plane)obj); } return false; } public bool Equals(Plane other) { return normal == other.normal && d == other.d; } public override int GetHashCode() { return normal.GetHashCode() ^ d.GetHashCode(); } public override string ToString() { return String.Format("({0}, {1})", new object[] { this.normal.ToString(), this.d.ToString() }); } public string ToString(string format) { return String.Format("({0}, {1})", new object[] { this.normal.ToString(format), this.d.ToString(format) }); } } }