using System;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Runtime.Intrinsics;
using System.Runtime.Intrinsics.X86;
using JetBrains.Annotations;
using Robust.Shared.Utility;
namespace Robust.Shared.Maths
{
///
/// This type contains a and a rotation in world space.
///
[Serializable]
public struct Box2Rotated : IEquatable, ISpanFormattable
{
public Box2 Box;
public Angle Rotation;
///
/// The point about which the rotation occurs.
///
public Vector2 Origin;
///
/// A 1x1 unit box with the origin centered and identity rotation.
///
public static readonly Box2Rotated UnitCentered = new(Box2.UnitCentered, Angle.Zero, Vector2.Zero);
public readonly Vector2 BottomRight => Origin + Rotation.RotateVec(Box.BottomRight - Origin);
public readonly Vector2 TopLeft => Origin + Rotation.RotateVec(Box.TopLeft - Origin);
public readonly Vector2 TopRight => Origin + Rotation.RotateVec(Box.TopRight - Origin);
public readonly Vector2 BottomLeft => Origin + Rotation.RotateVec(Box.BottomLeft - Origin);
public readonly Vector2 Center => Origin + Rotation.RotateVec((Box.BottomLeft + Box.TopRight)/2 - Origin);
public readonly Matrix3x2 Transform
{
[MethodImpl(MethodImplOptions.AggressiveInlining)]
get
{
// Equivalent to Matrix3Helpers.CreateTransform(Origin - Rotation.RotateVec(Origin), Rotation)
// but ~20% faster
var angle = (float) Rotation;
var sin = MathF.Sin(angle);
var cos = MathF.Cos(angle);
var cos1 = 1 - cos;
var dx = cos1 * Origin.X + sin * Origin.Y;
var dy = - sin * Origin.X + cos1 * Origin.Y;
return new Matrix3x2
{
M11 = cos,
M12 = sin,
M21 = -sin,
M22 = cos,
M31 = dx,
M32 = dy,
};
}
}
public Box2Rotated(Vector2 bottomLeft, Vector2 topRight)
: this(new Box2(bottomLeft, topRight))
{
}
public Box2Rotated(Box2 box)
: this(box, 0)
{
}
public Box2Rotated(Box2 box, Angle rotation)
: this(box, rotation, Vector2.Zero)
{
}
public Box2Rotated(Box2 box, Angle rotation, Vector2 origin)
{
Box = box;
Rotation = rotation;
Origin = origin;
}
///
/// Enlarges the box by the specified value.
///
[Pure]
public readonly Box2Rotated Enlarged(float value)
{
var box = Box.Enlarged(value);
return new Box2Rotated(box, Rotation, Origin);
}
///
/// Calculates the smallest AABB that will encompass the rotated box. The AABB is in local space.
///
public readonly Box2 CalcBoundingBox()
{
GetVertices(out var x, out var y);
var aabb = SimdHelpers.GetAABB(x, y);
return Unsafe.As, Box2>(ref aabb);
}
///
/// Applies the transformation to the box's corners and returns the coordinates in two simd vectors.
///
/// The corners are ordered clockwise, starting from what was the bottom left corner prior to the transformation.
/// This is effectively a specialized variant of a transform method that avoids having to use construct the matrix via
[MethodImpl(MethodImplOptions.AggressiveInlining)]
internal readonly void GetVertices(out Vector128 x, out Vector128 y)
{
var boxVec = Unsafe.As>(ref Unsafe.AsRef(in Box));
var originX = Vector128.Create(Origin.X);
var originY = Vector128.Create(Origin.Y);
var cos = Vector128.Create((float) Math.Cos(Rotation));
var sin = Vector128.Create((float) Math.Sin(Rotation));
var boxX = Vector128.Shuffle(boxVec, Vector128.Create(0, 2, 2, 0)) - originX;
var boxY = Vector128.Shuffle(boxVec, Vector128.Create(1, 1, 3, 3)) - originY;
x = boxX * cos - boxY * sin + originX;
y = boxX * sin + boxY * cos + originY;
}
public readonly bool Contains(Vector2 worldPoint)
{
// Get the worldpoint in our frame of reference so we can do a faster AABB check.
var localPoint = GetLocalPoint(worldPoint);
return Box.Contains(localPoint);
}
///
/// Convert a point in world-space coordinates to our local coordinates.
///
private readonly Vector2 GetLocalPoint(Vector2 point)
{
return Origin + (-Rotation).RotateVec(point - Origin);
}
#region Equality
///
public readonly bool Equals(Box2Rotated other)
{
return Box.Equals(other.Box) && Rotation.Equals(other.Rotation) && Origin.Equals(other.Origin);
}
public readonly bool EqualsApprox(Box2Rotated other)
{
return Box.EqualsApprox(other.Box)
&& Rotation.EqualsApprox(other.Rotation)
&& Origin.EqualsApprox(other.Origin);
}
public readonly bool EqualsApprox(Box2Rotated other, double tolerance)
{
return Box.EqualsApprox(other.Box, tolerance)
&& Rotation.EqualsApprox(other.Rotation, tolerance)
&& Origin.EqualsApprox(other.Origin, tolerance);
}
///
public readonly override bool Equals(object? obj)
{
if (ReferenceEquals(null, obj)) return false;
return obj is Box2Rotated other && Equals(other);
}
///
public readonly override int GetHashCode()
{
unchecked
{
return (Box.GetHashCode() * 397) ^ Rotation.GetHashCode();
}
}
///
/// Check for equality by value between two .
///
public static bool operator ==(Box2Rotated a, Box2Rotated b)
{
return a.Equals(b);
}
///
/// Check for inequality by value between two .
///
public static bool operator !=(Box2Rotated a, Box2Rotated b)
{
return !a.Equals(b);
}
#endregion
///
/// Returns a string representation of this type.
///
public readonly override string ToString()
{
return $"{Box}, {Rotation}";
}
public readonly string ToString(string? format, IFormatProvider? formatProvider)
{
return ToString();
}
public readonly bool TryFormat(
Span destination,
out int charsWritten,
ReadOnlySpan format,
IFormatProvider? provider)
{
return FormatHelpers.TryFormatInto(
destination,
out charsWritten,
$"{Box}, {Rotation}");
}
}
}