1 files changed, 356 insertions, 0 deletions
diff --git a/modules/mono/glue/cs_files/Transform2D.cs b/modules/mono/glue/cs_files/Transform2D.cs
new file mode 100644
index 0000000000..526dc767c6
--- /dev/null
+++ b/modules/mono/glue/cs_files/Transform2D.cs
@@ -0,0 +1,356 @@
+using System;
+using System.Runtime.InteropServices;
+
+namespace Godot
+{
+    [StructLayout(LayoutKind.Sequential)]
+    public struct Transform2D : IEquatable<Transform2D>
+    {
+        private static readonly Transform2D identity = new Transform2D
+        (
+            new Vector2(1f, 0f),
+            new Vector2(0f, 1f),
+            new Vector2(0f, 0f)
+        );
+
+        public Vector2 x;
+        public Vector2 y;
+        public Vector2 o;
+
+        public static Transform2D Identity
+        {
+            get { return identity; }
+        }
+
+        public Vector2 Origin
+        {
+            get { return o; }
+        }
+
+        public float Rotation
+        {
+            get { return Mathf.atan2(y.x, o.y); }
+        }
+
+        public Vector2 Scale
+        {
+            get { return new Vector2(x.length(), y.length()); }
+        }
+
+        public Vector2 this[int index]
+        {
+            get
+            {
+                switch (index)
+                {
+                    case 0:
+                        return x;
+                    case 1:
+                        return y;
+                    case 2:
+                        return o;
+                    default:
+                        throw new IndexOutOfRangeException();
+                }
+            }
+            set
+            {
+                switch (index)
+                {
+                    case 0:
+                        x = value;
+                        return;
+                    case 1:
+                        y = value;
+                        return;
+                    case 2:
+                        o = value;
+                        return;
+                    default:
+                        throw new IndexOutOfRangeException();
+                }
+            }
+        }
+
+
+        public float this[int index, int axis]
+        {
+            get
+            {
+                switch (index)
+                {
+                    case 0:
+                        return x[axis];
+                    case 1:
+                        return y[axis];
+                    default:
+                        throw new IndexOutOfRangeException();
+                }
+            }
+            set
+            {
+                switch (index)
+                {
+                    case 0:
+                        x[axis] = value;
+                        return;
+                    case 1:
+                        y[axis] = value;
+                        return;
+                    default:
+                        throw new IndexOutOfRangeException();
+                }
+            }
+        }
+
+        public Transform2D affine_inverse()
+        {
+            Transform2D inv = this;
+
+            float det = this[0, 0] * this[1, 1] - this[1, 0] * this[0, 1];
+
+            if (det == 0)
+            {
+                return new Transform2D
+                (
+                    float.NaN, float.NaN,
+                    float.NaN, float.NaN,
+                    float.NaN, float.NaN
+                );
+            }
+
+            float idet = 1.0f / det;
+
+            float temp = this[0, 0];
+            this[0, 0] = this[1, 1];
+            this[1, 1] = temp;
+
+            this[0] *= new Vector2(idet, -idet);
+            this[1] *= new Vector2(-idet, idet);
+
+            this[2] = basis_xform(-this[2]);
+
+            return inv;
+        }
+
+        public Vector2 basis_xform(Vector2 v)
+        {
+            return new Vector2(tdotx(v), tdoty(v));
+        }
+
+        public Vector2 basis_xform_inv(Vector2 v)
+        {
+            return new Vector2(x.dot(v), y.dot(v));
+        }
+
+        public Transform2D interpolate_with(Transform2D m, float c)
+        {
+            float r1 = Rotation;
+            float r2 = m.Rotation;
+
+            Vector2 s1 = Scale;
+            Vector2 s2 = m.Scale;
+
+            // Slerp rotation
+            Vector2 v1 = new Vector2(Mathf.cos(r1), Mathf.sin(r1));
+            Vector2 v2 = new Vector2(Mathf.cos(r2), Mathf.sin(r2));
+
+            float dot = v1.dot(v2);
+
+            // Clamp dot to [-1, 1]
+            dot = (dot < -1.0f) ? -1.0f : ((dot > 1.0f) ? 1.0f : dot);
+
+            Vector2 v = new Vector2();
+
+            if (dot > 0.9995f)
+            {
+                // Linearly interpolate to avoid numerical precision issues
+                v = v1.linear_interpolate(v2, c).normalized();
+            }
+            else
+            {
+                float angle = c * Mathf.acos(dot);
+                Vector2 v3 = (v2 - v1 * dot).normalized();
+                v = v1 * Mathf.cos(angle) + v3 * Mathf.sin(angle);
+            }
+
+            // Extract parameters
+            Vector2 p1 = Origin;
+            Vector2 p2 = m.Origin;
+
+            // Construct matrix
+            Transform2D res = new Transform2D(Mathf.atan2(v.y, v.x), p1.linear_interpolate(p2, c));
+            Vector2 scale = s1.linear_interpolate(s2, c);
+            res.x *= scale;
+            res.y *= scale;
+
+            return res;
+        }
+
+        public Transform2D inverse()
+        {
+            Transform2D inv = this;
+
+            // Swap
+            float temp = inv.x.y;
+            inv.x.y = inv.y.x;
+            inv.y.x = temp;
+
+            inv.o = inv.basis_xform(-inv.o);
+
+            return inv;
+        }
+
+        public Transform2D orthonormalized()
+        {
+            Transform2D on = this;
+
+            Vector2 onX = on.x;
+            Vector2 onY = on.y;
+
+            onX.normalize();
+            onY = onY - onX * (onX.dot(onY));
+            onY.normalize();
+
+            on.x = onX;
+            on.y = onY;
+
+            return on;
+        }
+
+        public Transform2D rotated(float phi)
+        {
+            return this * new Transform2D(phi, new Vector2());
+        }
+
+        public Transform2D scaled(Vector2 scale)
+        {
+            Transform2D copy = this;
+            copy.x *= scale;
+            copy.y *= scale;
+            copy.o *= scale;
+            return copy;
+        }
+
+        private float tdotx(Vector2 with)
+        {
+            return this[0, 0] * with[0] + this[1, 0] * with[1];
+        }
+
+        private float tdoty(Vector2 with)
+        {
+            return this[0, 1] * with[0] + this[1, 1] * with[1];
+        }
+
+        public Transform2D translated(Vector2 offset)
+        {
+            Transform2D copy = this;
+            copy.o += copy.basis_xform(offset);
+            return copy;
+        }
+
+        public Vector2 xform(Vector2 v)
+        {
+            return new Vector2(tdotx(v), tdoty(v)) + o;
+        }
+
+        public Vector2 xform_inv(Vector2 v)
+        {
+            Vector2 vInv = v - o;
+            return new Vector2(x.dot(vInv), y.dot(vInv));
+        }
+
+        public Transform2D(Vector2 xAxis, Vector2 yAxis, Vector2 origin)
+        {
+            this.x = xAxis;
+            this.y = yAxis;
+            this.o = origin;
+        }
+        public Transform2D(float xx, float xy, float yx, float yy, float ox, float oy)
+        {
+            this.x = new Vector2(xx, xy);
+            this.y = new Vector2(yx, yy);
+            this.o = new Vector2(ox, oy);
+        }
+
+        public Transform2D(float rot, Vector2 pos)
+        {
+            float cr = Mathf.cos(rot);
+            float sr = Mathf.sin(rot);
+            x.x = cr;
+            y.y = cr;
+            x.y = -sr;
+            y.x = sr;
+            o = pos;
+        }
+
+        public static Transform2D operator *(Transform2D left, Transform2D right)
+        {
+            left.o = left.xform(right.o);
+
+            float x0, x1, y0, y1;
+
+            x0 = left.tdotx(right.x);
+            x1 = left.tdoty(right.x);
+            y0 = left.tdotx(right.y);
+            y1 = left.tdoty(right.y);
+
+            left.x.x = x0;
+            left.x.y = x1;
+            left.y.x = y0;
+            left.y.y = y1;
+
+            return left;
+        }
+
+        public static bool operator ==(Transform2D left, Transform2D right)
+        {
+            return left.Equals(right);
+        }
+
+        public static bool operator !=(Transform2D left, Transform2D right)
+        {
+            return !left.Equals(right);
+        }
+
+        public override bool Equals(object obj)
+        {
+            if (obj is Transform2D)
+            {
+                return Equals((Transform2D)obj);
+            }
+
+            return false;
+        }
+
+        public bool Equals(Transform2D other)
+        {
+            return x.Equals(other.x) && y.Equals(other.y) && o.Equals(other.o);
+        }
+
+        public override int GetHashCode()
+        {
+            return x.GetHashCode() ^ y.GetHashCode() ^ o.GetHashCode();
+        }
+
+        public override string ToString()
+        {
+            return String.Format("({0}, {1}, {2})", new object[]
+            {
+                this.x.ToString(),
+                this.y.ToString(),
+                this.o.ToString()
+            });
+        }
+
+        public string ToString(string format)
+        {
+            return String.Format("({0}, {1}, {2})", new object[]
+            {
+                this.x.ToString(format),
+                this.y.ToString(format),
+                this.o.ToString(format)
+            });
+        }
+    }
+}