// Standard 2D rotation formula.
private static float2x2 Rotate2x2(float a)
{
float c = Hlsl.Cos(a);
float s = Hlsl.Sin(a);
return(new(c, -s, s, c));
}
// A standard square grid 2D blobby Truchet routine: Render circles
// in opposite corners of a tile, reverse the pattern on alternate
// checker tiles, and randomly rotate.
private static float Truchet(Float2 p)
{
const float sc = 0.5f;
Float2 ip = Hlsl.Floor(p / sc) + 0.5f;
p -= ip * sc;
float rnd = Hlsl.Frac(Hlsl.Sin(Hlsl.Dot(ip, new Float2(1, 113))) * 45758.5453f);
if (rnd < .5)
{
p.Y = -p.Y;
}
float d = Hlsl.Min(Distance(p - 0.5f * sc), Distance(p + 0.5f * sc)) - 0.5f * sc;
if (SHAPE == 4)
{
d += (0.5f - 0.5f / Hlsl.Sqrt(2.0f)) * sc;
}
if (rnd < 0.5f)
{
d = -d;
}
if (Mod(ip.X + ip.Y, 2.0f) < 0.5f)
{
d = -d;
}
return(d - 0.03f);
}
/// <inheritdoc/>
public float4 Execute()
{
float2 position = ((float2)(256 * ThreadIds.XY)) / DispatchSize.X + time;
float4 color = 0;
for (int i = 0; i < 6; i++)
{
float2 a = Hlsl.Floor(position);
float2 b = Hlsl.Frac(position);
float4 w = Hlsl.Frac(
(Hlsl.Sin(a.X * 7 + 31.0f * a.Y + 0.01f * time) +
new float4(0.035f, 0.01f, 0, 0.7f))
* 13.545317f);
color.XYZ += w.XYZ *
2.0f * Hlsl.SmoothStep(0.45f, 0.55f, w.W) *
Hlsl.Sqrt(16.0f * b.X * b.Y * (1.0f - b.X) * (1.0f - b.Y));
position /= 2.0f;
color /= 2.0f;
}
color.XYZ = Hlsl.Pow(color.XYZ, new float3(0.7f, 0.8f, 0.5f));
color.W = 1.0f;
return(color);
}
// float2 to float2 hash.
private float2 Hash22(float2 p)
{
float n = Hlsl.Sin(Hlsl.Dot(p, new float2(1, 113)));
p = Hlsl.Frac(new float2(262144, 32768) * n);
return(Hlsl.Sin(p * 6.2831853f + time));
}
public void Execute(ThreadIds ids)
{
B[0] = Hlsl.Sin(A);
B[1] = Hlsl.Cos(A);
Hlsl.SinCos(A, out float sine, out float cosine);
B[2] = sine;
B[3] = cosine;
}
public void Execute()
{
buffer[0] = Pi;
buffer[1] = SinPi;
buffer[2] = Hlsl.Sin(3.14f);
buffer[3] = Mat.M11;
buffer[4] = Mat.M12;
buffer[5] = Mat.M21;
buffer[6] = Mat.M22;
buffer[7] = Combo;
}
public void IntrinsicWithInlineOutParamater()
{
float angle = 80;
using ReadWriteBuffer <float> buffer = Gpu.Default.AllocateReadWriteBuffer <float>(4);
Action <ThreadIds> action = id =>
{
buffer[0] = Hlsl.Sin(angle);
buffer[1] = Hlsl.Cos(angle);
Hlsl.SinCos(angle, out float sine, out float cosine);
buffer[2] = sine;
buffer[3] = cosine;
};
/// <summary>
/// Makes some magic happen.
/// </summary>
private float4 Tex(float3 p)
{
float t = time + 78.0f;
float4 o = new(p.X, p.Y, p.Z, 3.0f * Hlsl.Sin(t * 0.1f));
float4 dec =
new float4(1.0f, 0.9f, 0.1f, 0.15f) +
new float4(0.06f * Hlsl.Cos(t * 0.1f), 0, 0, 0.14f * Hlsl.Cos(t * 0.23f));
for (int i = 0; i++ < NumberOfIterations;)
{
o.XZYW = Hlsl.Abs(o / Hlsl.Dot(o, o) - dec);
}
return(o);
}
/// <inheritdoc/>
public float4 Execute()
{
float2 scenePos = D2D.GetScenePosition().XY;
float xo = scenePos.X - (this.width >> 1);
float yo = scenePos.Y - (this.height >> 1);
float rm = 0.5f * this.diameter;
float km = 0.7f / this.diameter * MathF.PI;
float w = rm / 10.0f;
float yd = yo * yo;
float xd = xo * xo;
float d = xd + yd;
float v = 1.0f + (1.0f + Hlsl.Tanh((rm - Hlsl.Sqrt(d)) / w)) * Hlsl.Sin(km * d) * 0.5f;
return(new Float4(v, v, v, 1.0f));
}
// Fast hash for a pair of floats
static float Hash21(float2 p)
{
return(Hlsl.Frac(Hlsl.Sin(Hlsl.Dot(p, new float2(27.619f, 57.583f))) * 43758.5453f));
}
// float2 to float2 hash.
private static float2 Hash22B(float2 p)
{
float n = Hlsl.Sin(Hlsl.Dot(p, new float2(41, 289)));
return(Hlsl.Frac(new float2(262144, 32768) * n) * 2.0f - 1.0f);
}
// float3 to float hash.
private static float Hash21(float2 p)
{
return(Hlsl.Frac(Hlsl.Sin(Hlsl.Dot(p, new float2(41, 289))) * 45758.5453f));
}
public void Execute(ThreadIds ids)
{
B[0] = Hlsl.Sin(A);
B[1] = Hlsl.Cos(A);
Hlsl.SinCos(A, out B[2], out B[3]);
}
public void Execute(ThreadIds ids)
{
B[0] = Hlsl.Sin(A);
Hlsl.SinCos(A, out float sine, out _);
B[1] = sine;
}
private static Float2x2 Rotate(float a)
{
float c = Hlsl.Cos(a), s = Hlsl.Sin(a);
return(new(c, s, -s, c));
}