using System; namespace Engine.Core; /// /// Represents a 3D line segment defined by two endpoints. /// /// The starting point of the segment. /// The ending point of the segment. /// /// Initializes a new instance of the struct with the specified endpoints. /// [System.Diagnostics.DebuggerDisplay("From: {From.ToString(),nq}, To: {To.ToString(),nq}, Direction: {Direction.ToString(),nq}, Length: {Length}")] public readonly struct Line3D(Vector3D from, Vector3D to) : IEquatable { /// /// The starting point of the segment. /// public readonly Vector3D From = from; /// /// The ending point of the segment. /// public readonly Vector3D To = to; /// /// The reversed segment. /// public readonly Line3D Reversed => new(To, From); /// /// The normalized direction of the segment. /// public readonly Vector3D Direction => From.FromTo(To).Normalize(); /// /// The length of the segment. /// public readonly float Length => From.FromTo(To).Length(); /// /// The squared length of the segment. /// public readonly float LengthSquared => From.FromTo(To).LengthSquared(); public static bool operator ==(Line3D left, Line3D right) => left.From == right.From && left.To == right.To; public static bool operator !=(Line3D left, Line3D right) => left.From != right.From || left.To != right.To; /// /// Linearly interpolates between the two endpoints of the segment using parameter 't'. /// public static Vector3D Lerp(Line3D line, float t) => Vector3D.Lerp(line.From, line.To, t); /// /// Calculates the closest point on the segment to the specified point. /// public static Vector3D ClosestPointTo(Line3D line, Vector3D point) { Vector3D lineRelativeVector = line.From.FromTo(line.To); Vector3D lineDirection = lineRelativeVector.Normalized; Vector3D pointVector = line.From.FromTo(point); float dot = lineDirection.Dot(pointVector).Clamp(0f, lineRelativeVector.Magnitude); return lineDirection * dot; } /// /// Checks if two segments are approximately equal. /// /// The first . /// The second . /// The epsilon range. /// if the s are approximately equal; otherwise, . public static bool ApproximatelyEquals(Line3D left, Line3D right, float epsilon = float.Epsilon) => left.From.ApproximatelyEquals(right.From, epsilon) && left.To.ApproximatelyEquals(right.To, epsilon); /// /// Determines whether the specified object is equal to the current . /// /// The object to compare with the current . /// if the specified object is equal to the current ; otherwise, . public override bool Equals(object? obj) => obj is Line3D line3D && this == line3D; public bool Equals(Line3D other) => this == other; /// /// Generates a hash code for the . /// /// A hash code for the . public override int GetHashCode() => System.HashCode.Combine(From, To); /// /// Converts the to its string representation. /// /// A string representation of the . public override string ToString() => $"{nameof(Line3D)}({From}, {To})"; } /// /// Provides extension methods for the struct. /// public static class Line3DExtensions { /// public static Vector3D Lerp(this Line3D line, float t) => Line3D.Lerp(line, t); /// public static Vector3D ClosestPointTo(this Line3D line, Vector3D point) => Line3D.ClosestPointTo(line, point); /// public static bool ApproximatelyEquals(this Line3D left, Line3D right, float epsilon = float.Epsilon) => Line3D.ApproximatelyEquals(left, right, epsilon); }