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Lenia: replace kernel with one from the paper, replace glider with a new life form

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Crispy 2023-07-30 18:40:00 +02:00
parent 481a12ecee
commit 05e0789077
9 changed files with 71 additions and 73 deletions
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Assets/automata/Lenia/glider.png
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2
Assets/automata/Lenia/glider.png.meta
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@ -31,7 +31,7 @@ TextureImporter:
maxTextureSize: 2048
textureSettings:
serializedVersion: 2
filterMode: 0
filterMode: 1
aniso: 1
mipBias: 0
wrapU: 0

21
Assets/automata/Lenia/lenia.shader
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@ -5,7 +5,7 @@
_LastFrame ("Texture", 2D) = "white" {}
_GrowtCenter ("Growth fn center (mu)", Range(0, 1)) = 0.2
_GrowthWidth ("Growth fn width (sigma / std deviation)", Range(0, 1)) = 0.07
_Speed ("Speed factor", Range(0.3, 5)) = 1
_Speed ("Speed factor", Range(0.01, 0.5)) = 0.05
}
SubShader
{
@ -22,16 +22,13 @@
#define WIDTH 512
struct appdata
{
struct appdata {
float4 vertex : POSITION;
float2 uv : TEXCOORD0;
};
struct v2f
{
struct v2f {
float2 uv : TEXCOORD0;
float4 vertex : SV_POSITION;
};
@ -40,8 +37,7 @@
float _GrowthWidth;
float _Speed;
v2f vert (appdata v)
{
v2f vert (appdata v) {
v2f o;
o.vertex = UnityObjectToClipPos(v.vertex);
o.uv = v.uv;
@ -63,7 +59,7 @@
// return exp(alpha - alpha/(4.0 * r * (1.0 - r)));
}
inline float activation(float neighbors) {
float activation(float neighbors) {
// return old_state * (neighbors > 2 && neighbors < 5) +
// ((1 - old_state) * neighbors == 3);
@ -76,14 +72,13 @@
return exp(-((u-mu) * (u-mu)) / (2 * sigma * sigma)) * 2.0 - 1.0;
}
inline float value(uint2 p, int dx, int dy) {
float value(uint2 p, int dx, int dy) {
const uint x = (p.x + dx) % WIDTH;
const uint y = (p.y + dy) % WIDTH;
return _LastFrame[uint2(x, y)].r;
}
fixed4 frag (v2f i) : SV_Target
{
float4 frag (v2f i) : SV_Target {
if(_ProjectionParams.z > 1) discard;
// Defines RADIUS Kernel total_max
@ -104,7 +99,7 @@
float old_state = value(p, 0, 0) ;
float count = total / total_max;
const float step = _Speed * unity_DeltaTime.x;
const float step = _Speed * unity_DeltaTime.x * 60;
float state = activation(count) * step + old_state;
state = clamp(state, 0, 1);

48
Assets/automata/Lenia/lenia_generated_kernel.cginc
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@ -1,28 +1,26 @@
// generated by the rust program
#define RADIUS 20
const half Kernel[21][20] = {
{0.00, 0.04, 0.10, 0.20, 0.38, 0.60, 0.80, 0.96, 0.98, 0.88, 0.68, 0.46, 0.26, 0.12, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, },
{0.02, 0.04, 0.10, 0.22, 0.40, 0.60, 0.82, 0.96, 0.98, 0.88, 0.68, 0.44, 0.26, 0.12, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, },
{0.04, 0.08, 0.16, 0.28, 0.46, 0.66, 0.86, 0.98, 0.98, 0.84, 0.64, 0.42, 0.24, 0.12, 0.04, 0.02, 0.00, 0.00, 0.00, 0.00, },
{0.10, 0.16, 0.24, 0.38, 0.56, 0.74, 0.92, 0.98, 0.94, 0.80, 0.58, 0.38, 0.22, 0.10, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.22, 0.28, 0.38, 0.52, 0.68, 0.84, 0.96, 0.98, 0.90, 0.74, 0.52, 0.32, 0.18, 0.08, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.40, 0.46, 0.56, 0.68, 0.82, 0.94, 0.98, 0.96, 0.82, 0.64, 0.44, 0.26, 0.14, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.60, 0.66, 0.74, 0.84, 0.94, 0.98, 0.98, 0.88, 0.72, 0.54, 0.34, 0.20, 0.10, 0.04, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.82, 0.86, 0.92, 0.96, 0.98, 0.98, 0.90, 0.76, 0.58, 0.42, 0.26, 0.14, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.96, 0.98, 0.98, 0.98, 0.96, 0.88, 0.76, 0.60, 0.44, 0.30, 0.18, 0.10, 0.04, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.98, 0.98, 0.94, 0.90, 0.82, 0.72, 0.58, 0.44, 0.32, 0.20, 0.10, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.88, 0.84, 0.80, 0.74, 0.64, 0.54, 0.42, 0.30, 0.20, 0.12, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.68, 0.64, 0.58, 0.52, 0.44, 0.34, 0.26, 0.18, 0.10, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.44, 0.42, 0.38, 0.32, 0.26, 0.20, 0.14, 0.10, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.26, 0.24, 0.22, 0.18, 0.14, 0.10, 0.06, 0.04, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.12, 0.12, 0.10, 0.08, 0.06, 0.04, 0.02, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.06, 0.04, 0.04, 0.02, 0.02, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.02, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
#define RADIUS 18
const float Kernel[19][18] = {
{0.00, 0.00, 0.04, 0.16, 0.37, 0.60, 0.81, 0.95, 1.00, 0.95, 0.81, 0.60, 0.37, 0.16, 0.04, 0.00, 0.00, 0.00, },
{0.00, 0.00, 0.05, 0.18, 0.39, 0.62, 0.82, 0.95, 0.99, 0.94, 0.80, 0.59, 0.36, 0.16, 0.03, 0.00, 0.00, 0.00, },
{0.00, 0.02, 0.10, 0.25, 0.46, 0.67, 0.85, 0.97, 0.99, 0.93, 0.77, 0.56, 0.33, 0.14, 0.03, 0.00, 0.00, 0.00, },
{0.05, 0.10, 0.21, 0.37, 0.56, 0.75, 0.90, 0.98, 0.98, 0.90, 0.73, 0.52, 0.29, 0.11, 0.02, 0.00, 0.00, 0.00, },
{0.18, 0.25, 0.37, 0.52, 0.69, 0.84, 0.95, 0.99, 0.96, 0.85, 0.67, 0.45, 0.24, 0.08, 0.01, 0.00, 0.00, 0.00, },
{0.39, 0.46, 0.56, 0.69, 0.82, 0.93, 0.99, 0.99, 0.91, 0.77, 0.58, 0.37, 0.18, 0.05, 0.00, 0.00, 0.00, 0.00, },
{0.62, 0.67, 0.75, 0.84, 0.93, 0.98, 0.99, 0.95, 0.84, 0.68, 0.48, 0.28, 0.11, 0.02, 0.00, 0.00, 0.00, 0.00, },
{0.82, 0.85, 0.90, 0.95, 0.99, 0.99, 0.96, 0.87, 0.73, 0.55, 0.36, 0.18, 0.06, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.95, 0.97, 0.98, 0.99, 0.99, 0.95, 0.87, 0.75, 0.59, 0.41, 0.24, 0.10, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.99, 0.99, 0.98, 0.96, 0.91, 0.84, 0.73, 0.59, 0.43, 0.27, 0.13, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.94, 0.93, 0.90, 0.85, 0.77, 0.68, 0.55, 0.41, 0.27, 0.14, 0.05, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.80, 0.77, 0.73, 0.67, 0.58, 0.48, 0.36, 0.24, 0.13, 0.05, 0.01, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.59, 0.56, 0.52, 0.45, 0.37, 0.28, 0.18, 0.10, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.36, 0.33, 0.29, 0.24, 0.18, 0.11, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.16, 0.14, 0.11, 0.08, 0.05, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.03, 0.03, 0.02, 0.01, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
};
const float total_max = 356.63977;
// Total texture lookups: 206 * 4 + 1 = 825
const float total_max = 386.71994;
// Total texture lookups: 185 * 4 + 1 = 741
// (lookups multiplied by 0.0 get optimised away by the shader compiler, and this giant table generally only exists at compile time)

6
Assets/automata/Lenia/lenia_sim.mat
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@ -70,8 +70,8 @@ Material:
- _GlossMapScale: 1
- _Glossiness: 0.5
- _GlossyReflections: 1
- _GrowtCenter: 0.14
- _GrowthWidth: 0.013
- _GrowtCenter: 0.28
- _GrowthWidth: 0.04
- _KOffset: 0.436
- _KSharpness: 28.3
- _Metallic: 0
@ -81,7 +81,7 @@ Material:
- _Radius: 13
- _SmoothnessTextureChannel: 0
- _SpecularHighlights: 1
- _Speed: 2
- _Speed: 0.05
- _SrcBlend: 1
- _UVSec: 0
- _ZWrite: 1