577f3ccaf9
Replace float with real_t in most files, defined at the top of each file via using. Objects such as Vector3 now accept doubles as inputs, and convert to real_t internally. I've added default Vectors such as Vector3.Zero. Other misc C# improvements such as Mathf.RoundToInt(). Color continues to use float only because high precision is not needed for 8-bit color math and to keep things simple. Everything seems to compile and work fine, but testing is requested, as this is the first time I've ever contributed to Godot.
(cherry picked from commit ff97c97c93)
364 lines
9 KiB
C#
364 lines
9 KiB
C#
using System;
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using System.Runtime.InteropServices;
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#if REAL_T_IS_DOUBLE
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using real_t = System.Double;
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#else
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using real_t = System.Single;
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#endif
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namespace Godot
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{
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[StructLayout(LayoutKind.Sequential)]
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public struct Transform2D : IEquatable<Transform2D>
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{
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private static readonly Transform2D identity = new Transform2D
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(
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new Vector2(1f, 0f),
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new Vector2(0f, 1f),
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new Vector2(0f, 0f)
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);
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public Vector2 x;
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public Vector2 y;
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public Vector2 o;
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public static Transform2D Identity
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{
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get { return identity; }
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}
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public Vector2 Origin
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{
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get { return o; }
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}
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public real_t Rotation
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{
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get { return Mathf.Atan2(y.x, o.y); }
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}
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public Vector2 Scale
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{
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get { return new Vector2(x.Length(), y.Length()); }
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}
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public Vector2 this[int index]
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{
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get
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{
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switch (index)
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{
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case 0:
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return x;
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case 1:
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return y;
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case 2:
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return o;
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default:
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throw new IndexOutOfRangeException();
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}
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}
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set
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{
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switch (index)
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{
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case 0:
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x = value;
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return;
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case 1:
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y = value;
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return;
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case 2:
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o = value;
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return;
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default:
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throw new IndexOutOfRangeException();
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}
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}
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}
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public real_t this[int index, int axis]
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{
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get
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{
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switch (index)
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{
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case 0:
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return x[axis];
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case 1:
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return y[axis];
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default:
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throw new IndexOutOfRangeException();
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}
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}
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set
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{
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switch (index)
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{
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case 0:
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x[axis] = value;
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return;
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case 1:
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y[axis] = value;
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return;
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default:
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throw new IndexOutOfRangeException();
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}
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}
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}
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public Transform2D AffineInverse()
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{
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Transform2D inv = this;
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real_t det = this[0, 0] * this[1, 1] - this[1, 0] * this[0, 1];
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if (det == 0)
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{
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return new Transform2D
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(
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float.NaN, float.NaN,
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float.NaN, float.NaN,
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float.NaN, float.NaN
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);
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}
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real_t idet = 1.0f / det;
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real_t temp = this[0, 0];
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this[0, 0] = this[1, 1];
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this[1, 1] = temp;
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this[0] *= new Vector2(idet, -idet);
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this[1] *= new Vector2(-idet, idet);
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this[2] = BasisXform(-this[2]);
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return inv;
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}
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public Vector2 BasisXform(Vector2 v)
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{
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return new Vector2(Tdotx(v), Tdoty(v));
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}
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public Vector2 BasisXformInv(Vector2 v)
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{
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return new Vector2(x.Dot(v), y.Dot(v));
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}
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public Transform2D InterpolateWith(Transform2D m, real_t c)
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{
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real_t r1 = Rotation;
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real_t r2 = m.Rotation;
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Vector2 s1 = Scale;
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Vector2 s2 = m.Scale;
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// Slerp rotation
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Vector2 v1 = new Vector2(Mathf.Cos(r1), Mathf.Sin(r1));
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Vector2 v2 = new Vector2(Mathf.Cos(r2), Mathf.Sin(r2));
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real_t dot = v1.Dot(v2);
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// Clamp dot to [-1, 1]
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dot = (dot < -1.0f) ? -1.0f : ((dot > 1.0f) ? 1.0f : dot);
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Vector2 v = new Vector2();
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if (dot > 0.9995f)
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{
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// Linearly interpolate to avoid numerical precision issues
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v = v1.LinearInterpolate(v2, c).Normalized();
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}
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else
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{
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real_t angle = c * Mathf.Acos(dot);
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Vector2 v3 = (v2 - v1 * dot).Normalized();
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v = v1 * Mathf.Cos(angle) + v3 * Mathf.Sin(angle);
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}
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// Extract parameters
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Vector2 p1 = Origin;
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Vector2 p2 = m.Origin;
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// Construct matrix
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Transform2D res = new Transform2D(Mathf.Atan2(v.y, v.x), p1.LinearInterpolate(p2, c));
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Vector2 scale = s1.LinearInterpolate(s2, c);
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res.x *= scale;
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res.y *= scale;
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return res;
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}
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public Transform2D Inverse()
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{
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Transform2D inv = this;
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// Swap
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real_t temp = inv.x.y;
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inv.x.y = inv.y.x;
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inv.y.x = temp;
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inv.o = inv.BasisXform(-inv.o);
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return inv;
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}
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public Transform2D Orthonormalized()
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{
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Transform2D on = this;
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Vector2 onX = on.x;
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Vector2 onY = on.y;
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onX.Normalize();
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onY = onY - onX * (onX.Dot(onY));
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onY.Normalize();
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on.x = onX;
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on.y = onY;
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return on;
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}
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public Transform2D Rotated(real_t phi)
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{
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return this * new Transform2D(phi, new Vector2());
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}
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public Transform2D Scaled(Vector2 scale)
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{
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Transform2D copy = this;
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copy.x *= scale;
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copy.y *= scale;
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copy.o *= scale;
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return copy;
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}
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private real_t Tdotx(Vector2 with)
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{
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return this[0, 0] * with[0] + this[1, 0] * with[1];
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}
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private real_t Tdoty(Vector2 with)
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{
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return this[0, 1] * with[0] + this[1, 1] * with[1];
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}
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public Transform2D Translated(Vector2 offset)
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{
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Transform2D copy = this;
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copy.o += copy.BasisXform(offset);
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return copy;
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}
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public Vector2 Xform(Vector2 v)
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{
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return new Vector2(Tdotx(v), Tdoty(v)) + o;
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}
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public Vector2 XformInv(Vector2 v)
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{
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Vector2 vInv = v - o;
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return new Vector2(x.Dot(vInv), y.Dot(vInv));
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}
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// Constructors
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public Transform2D(Vector2 xAxis, Vector2 yAxis, Vector2 origin)
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{
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this.x = xAxis;
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this.y = yAxis;
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this.o = origin;
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}
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public Transform2D(real_t xx, real_t xy, real_t yx, real_t yy, real_t ox, real_t oy)
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{
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this.x = new Vector2(xx, xy);
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this.y = new Vector2(yx, yy);
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this.o = new Vector2(ox, oy);
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}
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public Transform2D(real_t rot, Vector2 pos)
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{
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real_t cr = Mathf.Cos( (real_t)rot);
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real_t sr = Mathf.Sin( (real_t)rot);
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x.x = cr;
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y.y = cr;
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x.y = -sr;
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y.x = sr;
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o = pos;
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}
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public static Transform2D operator *(Transform2D left, Transform2D right)
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{
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left.o = left.Xform(right.o);
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real_t x0, x1, y0, y1;
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x0 = left.Tdotx(right.x);
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x1 = left.Tdoty(right.x);
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y0 = left.Tdotx(right.y);
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y1 = left.Tdoty(right.y);
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left.x.x = x0;
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left.x.y = x1;
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left.y.x = y0;
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left.y.y = y1;
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return left;
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}
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public static bool operator ==(Transform2D left, Transform2D right)
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{
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return left.Equals(right);
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}
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public static bool operator !=(Transform2D left, Transform2D right)
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{
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return !left.Equals(right);
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}
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public override bool Equals(object obj)
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{
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if (obj is Transform2D)
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{
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return Equals((Transform2D)obj);
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}
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return false;
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}
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public bool Equals(Transform2D other)
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{
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return x.Equals(other.x) && y.Equals(other.y) && o.Equals(other.o);
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}
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public override int GetHashCode()
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{
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return x.GetHashCode() ^ y.GetHashCode() ^ o.GetHashCode();
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}
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public override string ToString()
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{
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return String.Format("({0}, {1}, {2})", new object[]
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{
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this.x.ToString(),
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this.y.ToString(),
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this.o.ToString()
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});
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}
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public string ToString(string format)
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{
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return String.Format("({0}, {1}, {2})", new object[]
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{
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this.x.ToString(format),
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this.y.ToString(format),
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this.o.ToString(format)
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});
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}
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}
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}
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