lenia

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Assets/automata/lenia.mat

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Assets/automata/lenia.shader

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+Shader "CrispyPin/Lenia"
+{
+	Properties
+	{
+		_LastFrame ("Texture", 2D) = "white" {}
+		_Radius ("Radius", Range(1,100)) = 10
+		_GrowtCenter ("Growth fn center (mu)", Range(0, 1)) = 0.2
+		_GrowthWidth ("Growth fn width (sigma / std deviation)", Range(0, 1)) = 0.07
+		_KSharpness ("Kernel sharpness", Range(1, 100)) = 2
+		_KOffset ("Kernel offset", Range(0, 1)) = 0.2
+		_Speed ("Speed factor", Range(0.001, 1)) = 0.1
+	}
+	SubShader
+	{
+		Tags { "RenderType"="Opaque" }
+		LOD 100
+
+		Pass
+		{
+			CGPROGRAM
+			#pragma vertex vert
+			#pragma fragment frag
+
+			#include "UnityCG.cginc"
+
+			struct appdata
+			{
+				float4 vertex : POSITION;
+				float2 uv : TEXCOORD0;
+			};
+
+			struct v2f
+			{
+				float2 uv : TEXCOORD0;
+
+				float4 vertex : SV_POSITION;
+			};
+
+			sampler2D _LastFrame;
+			int _Radius;
+			float _GrowtCenter;
+			float _GrowthWidth;
+			float _KSharpness;
+			float _KOffset;
+			float _Speed;
+
+			v2f vert (appdata v)
+			{
+				v2f o;
+				o.vertex = UnityObjectToClipPos(v.vertex);
+				o.uv = v.uv;
+
+				return o;
+			}
+
+
+			float kernel(float p) {
+				float r = p / _Radius;
+
+				// -- example from the lenia paper
+				// if (r >= 1) return 0;
+				// const float alpha = 4;
+				// return exp(alpha - alpha/(4.0 * r * (1.0 - r)));
+
+				// -- forgor
+				// return exp(-((r-0.5)*(r-0.5))*25);
+
+				// -- circle :)
+				// return r < 1 && r > 0.2;
+
+				// -- adjustable hard circle
+				// float a = _KOffset+_KSharpness;
+				// float b =_KOffset -_KSharpness;
+				// return r < a && r > b;
+
+				// -- normal
+				return exp(-((r - _KOffset)*(r - _KOffset)) * _KSharpness);
+			}
+
+			float activation(float neighbors) {
+				// return old_state * (neighbors > 2 && neighbors < 5) +
+				// ((1 - old_state) * neighbors == 3);
+
+				// const float sharpness = 1000.0;
+				// float x = neighbors - _GrowtCenter;
+				// return exp(-(x*x) * _GrowthWidth) * 2.0 - 1.0;
+				float mu = _GrowtCenter;
+				float sigma = _GrowthWidth;
+				float u = neighbors;
+
+				// float u = neighbors - _GrowtCenter;
+
+				return exp(-((u-mu) * (u-mu)) / (2 * sigma * sigma)) * 2.0 - 1.0;
+			}
+
+			half value(float2 center, float x, float y) {
+				return tex2D(_LastFrame, center + float2(x, y)).r;
+			}
+
+
+			fixed4 frag (v2f i) : SV_Target
+			{
+				const float resolution = 256.0;
+				const float d = 1.0 / resolution;
+
+				float total_max = 0.0; // TODO replace with const?
+				float total = 0.0;
+
+				for (int x = -_Radius; x <= _Radius; x++) {
+					for (int y = -_Radius; y <= _Radius; y++) {
+						float dist = sqrt(x*x+y*y);
+						float kval = kernel(dist);
+						total_max += kval;
+						total += value(i.uv, x*d, y*d) * kval;
+					}
+				}
+
+				float old_state = value(i.uv, 0.0, 0.0) ;
+				float count = total / total_max;
+
+				float state = activation(count) * _Speed + old_state;
+				state = clamp(state, 0, 1);
+
+
+				// float2 p = (i.uv - 0.5) * resolution;
+				// float k = kernel(length(p)) * (max(abs(p.x), abs(p.y)) <= _Radius); // kernel visualisation: real size
+				// // float k = kernel(length(i.uv - 0.5) * _Radius * 2); // kernel visualisation: fill square
+				// float a = activation(i.uv.x);
+				// float4 col = float4(state, k, a, 1);
+
+				// float4 col = float4(state, state * 0.5, 0, 1);
+				float4 col = float4(state, i.uv.x * state, i.uv.y * state, 1);
+
+				// float4 col = state;
+				// col.a = 1;
+				return col;
+			}
+			ENDCG
+		}
+	}
+}

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