using System; using System.Numerics; using System.Runtime.CompilerServices; using System.Runtime.Intrinsics; namespace Robust.Shared.Maths; public static class Matrix3Helpers { public static bool EqualsApprox(this Matrix3x2 a, Matrix3x2 b, float tolerance = 1e-6f) { return Math.Abs(a.M11 - b.M11) <= tolerance && Math.Abs(a.M12 - b.M12) <= tolerance && Math.Abs(a.M21 - b.M21) <= tolerance && Math.Abs(a.M22 - b.M22) <= tolerance && Math.Abs(a.M31 - b.M31) <= tolerance && Math.Abs(a.M32 - b.M32) <= tolerance; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static bool EqualsApprox(this Matrix3x2 a, Matrix3x2 b, double tolerance) { return a.EqualsApprox(b, (float) tolerance); } [Obsolete("Use TransformBox")] // This method was previously broken, and now just returns an bounding box pretending to be a Box2Rotated public static Box2Rotated TransformBounds(this Matrix3x2 refFromBox, Box2Rotated box) { return new Box2Rotated(TransformBox(refFromBox, box)); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Box2 TransformBox(this Matrix3x2 refFromBox, in Box2Rotated box) { return (box.Transform * refFromBox).TransformBox(box.Box); } [MethodImpl(MethodImplOptions.AggressiveInlining)] internal static void TransformBox( this Matrix3x2 refFromBox, in Box2Rotated box, out Vector128 x, out Vector128 y) { (box.Transform * refFromBox).TransformBox(box.Box, out x, out y); } public static Box2 TransformBox(this Matrix3x2 refFromBox, in Box2 box) { TransformBox(refFromBox, box, out var x, out var y); var aabb = SimdHelpers.GetAABB(x, y); return Unsafe.As, Box2>(ref aabb); } /// /// Applies a transformation matrix to all of a box's corners and returns their coordinates in two simd vectors. /// /// The corners are ordered clockwise, starting from what was the bottom left corner prior to the transformation. [MethodImpl(MethodImplOptions.AggressiveInlining)] internal static void TransformBox( this Matrix3x2 refFromBox, in Box2 box, out Vector128 x, out Vector128 y) { var boxVec = Unsafe.As>(ref Unsafe.AsRef(in box)); // Convert box into list of X and Y values for each of the 4 corners var boxX = Vector128.Shuffle(boxVec, Vector128.Create(0, 2, 2, 0)); var boxY = Vector128.Shuffle(boxVec, Vector128.Create(1, 1, 3, 3)); // Transform coordinates x = Vector128.Create(refFromBox.M31) + boxX * Vector128.Create(refFromBox.M11) + boxY * Vector128.Create(refFromBox.M21); y = Vector128.Create(refFromBox.M32) + boxX * Vector128.Create(refFromBox.M12) + boxY * Vector128.Create(refFromBox.M22); } /// /// Gets the rotation of the Matrix. Will have some precision loss. /// [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Angle Rotation(this Matrix3x2 t) { return new Angle(Math.Atan2(t.M12, t.M11)); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateTransform(float posX, float posY, double angle) { // returns a matrix that is equivalent to returning CreateRotation(angle) * CreateTranslation(posX, posY) var sin = (float) Math.Sin(angle); var cos = (float) Math.Cos(angle); return new Matrix3x2 { M11 = cos, M21 = -sin, M31 = posX, M12 = sin, M22 = cos, M32 = posY, }; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateTransform(float posX, float posY, double angle, float scaleX = 1, float scaleY = 1) { // returns a matrix that is equivalent to returning CreateScale(scale) * CreateRotation(angle) * CreateTranslation(posX, posY) var sin = (float) Math.Sin(angle); var cos = (float) Math.Cos(angle); return new Matrix3x2 { M11 = cos * scaleX, M21 = -sin * scaleY, M31 = posX, M12 = sin * scaleX, M22 = cos * scaleY, M32 = posY, }; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateTransform(in Vector2 position, in Angle angle) { // Rounding moment return angle.Theta switch { -Math.PI / 2 => new Matrix3x2(0f, -1f, 1, 0, position.X, position.Y), Math.PI / 2 => new Matrix3x2(0f, 1f, -1f, 0f, position.X, position.Y), Math.PI => new Matrix3x2(-1f, 0f, 0f, -1f, position.X, position.Y), _ => CreateTransform(position.X, position.Y, (float) angle.Theta) }; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateTransform(in Vector2 position, in Angle angle, in Vector2 scale) { return CreateTransform(position.X, position.Y, (float)angle.Theta, scale.X, scale.Y); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateInverseTransform(float posX, float posY, double angle, float scaleX = 1, float scaleY = 1) { // returns a matrix that is equivalent to returning CreateTranslation(-posX, -posY) * CreateRotation(-angle) * CreateScale(1/scaleX, 1/scaleY) var sin = (float) Math.Sin(angle); var cos = (float) Math.Cos(angle); return new Matrix3x2 { M11 = cos / scaleX, M21 = sin / scaleX, M31 = - (posX * cos + posY * sin) / scaleX, M12 = -sin / scaleY, M22 = cos / scaleY, M32 = (posX * sin - posY * cos) / scaleY, }; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateInverseTransform(in Vector2 position, in Angle angle) { return CreateInverseTransform(position.X, position.Y, (float)angle.Theta); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateInverseTransform(in Vector2 position, in Angle angle, in Vector2 scale) { return CreateInverseTransform(position.X, position.Y, (float)angle.Theta, scale.X, scale.Y); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateTranslation(float x, float y) { return new Matrix3x2 { M11 = 1, M12 = 0, M21 = 0, M22 = 1, M31 = x, M32 = y }; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateTranslation(Vector2 vector) { return CreateTranslation(vector.X, vector.Y); } public static Matrix3x2 CreateRotation(double angle) { var cos = (float) Math.Cos(angle); var sin = (float) Math.Sin(angle); return new Matrix3x2 { M11 = cos, M12 = sin, M21 = -sin, M22 = cos, M31 = 0, M32 = 0 }; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateScale(float x, float y) { return new Matrix3x2 { M11 = x, M12 = 0, M21 = 0, M22 = y, M31 = 0, M32 = 0 }; } [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Matrix3x2 CreateScale(in Vector2 scale) { return CreateScale(scale.X, scale.Y); } }