lenia: more smoothing, better kernel generator

Assets/automata/Automata.unity

@@ -439,7 +439,7 @@ Transform:
   m_PrefabAsset: {fileID: 0}
   m_GameObject: {fileID: 336599934}
   m_LocalRotation: {x: 0, y: 0, z: 0, w: 1}
-  m_LocalPosition: {x: -4.33, y: 0.894, z: 1.465}
+  m_LocalPosition: {x: -0.612, y: 0.137, z: 0}
   m_LocalScale: {x: 0.1, y: 0.3, z: 0.03}
   m_Children: []
   m_Father: {fileID: 0}
@@ -619,7 +619,7 @@ GameObject:
   m_Icon: {fileID: 0}
   m_NavMeshLayer: 0
   m_StaticEditorFlags: 0
-  m_IsActive: 1
+  m_IsActive: 0
 --- !u!114 &1206554217
 MonoBehaviour:
   m_ObjectHideFlags: 0
@@ -1214,7 +1214,7 @@ Transform:
   m_PrefabAsset: {fileID: 0}
   m_GameObject: {fileID: 1829861728}
   m_LocalRotation: {x: 0, y: 1, z: 0, w: 0}
-  m_LocalPosition: {x: -2, y: 1, z: 1.5}
+  m_LocalPosition: {x: -2, y: 1, z: 1.75}
   m_LocalScale: {x: 1, y: 1, z: 1}
   m_Children: []
   m_Father: {fileID: 0}
@@ -1396,7 +1396,7 @@ Camera:
   m_Depth: 0
   m_CullingMask:
     serializedVersion: 2
-    m_Bits: 2147880759
+    m_Bits: 2147880727
   m_RenderingPath: -1
   m_TargetTexture: {fileID: 8400000, guid: b8b62218c9d4ca16f887e8ae9d9d2942, type: 2}
   m_TargetDisplay: 0
@@ -1441,7 +1441,7 @@ BoxCollider:
   m_IsTrigger: 1
   m_Enabled: 1
   serializedVersion: 2
-  m_Size: {x: 1, y: 1, z: 0.1}
+  m_Size: {x: 1, y: 1, z: 0.2}
   m_Center: {x: 0, y: 0, z: 0}
 --- !u!114 &2044521649
 MonoBehaviour:
@@ -1550,8 +1550,8 @@ Transform:
   m_PrefabAsset: {fileID: 0}
   m_GameObject: {fileID: 2044521647}
   m_LocalRotation: {x: 0, y: 1, z: 0, w: 0}
-  m_LocalPosition: {x: -1.517, y: 0.543, z: 0.562}
+  m_LocalPosition: {x: -2.402, y: 0.506, z: 0.292}
-  m_LocalScale: {x: 0.123, y: 0.123, z: 0.123}
+  m_LocalScale: {x: 0.125, y: 0.125, z: 0.125}
   m_Children: []
   m_Father: {fileID: 0}
   m_RootOrder: 6
@@ -1579,7 +1579,7 @@ GameObject:
   m_Icon: {fileID: 0}
   m_NavMeshLayer: 0
   m_StaticEditorFlags: 0
-  m_IsActive: 1
+  m_IsActive: 0
 --- !u!114 &2129299479
 MonoBehaviour:
   m_ObjectHideFlags: 0

Assets/automata/Lenia/glider.mat

@@ -40,7 +40,7 @@ Material:
         m_Scale: {x: 1, y: 1}
         m_Offset: {x: 0, y: 0}
     - _MainTex:
-        m_Texture: {fileID: 2800000, guid: 46b1bc13f81b050d9b62892b4611d5b9, type: 3}
+        m_Texture: {fileID: 2800000, guid: 54ef4ec6401904800b71f7ed8b36f52b, type: 3}
         m_Scale: {x: 1, y: 1}
         m_Offset: {x: 0, y: 0}
     - _MetallicGlossMap:

Assets/automata/Lenia/glider.png.meta

@@ -31,7 +31,7 @@ TextureImporter:
   maxTextureSize: 2048
   textureSettings:
     serializedVersion: 2
-    filterMode: 1
+    filterMode: 0
     aniso: 1
     mipBias: 0
     wrapU: 0
@@ -64,7 +64,19 @@ TextureImporter:
     maxTextureSize: 2048
     resizeAlgorithm: 0
     textureFormat: -1
-    textureCompression: 1
+    textureCompression: 2
+    compressionQuality: 50
+    crunchedCompression: 0
+    allowsAlphaSplitting: 0
+    overridden: 0
+    androidETC2FallbackOverride: 0
+    forceMaximumCompressionQuality_BC6H_BC7: 0
+  - serializedVersion: 3
+    buildTarget: Standalone
+    maxTextureSize: 2048
+    resizeAlgorithm: 0
+    textureFormat: -1
+    textureCompression: 2
     compressionQuality: 50
     crunchedCompression: 0
     allowsAlphaSplitting: 0

Assets/automata/Lenia/glider_1.png.meta

@@ -1,104 +0,0 @@
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-guid: 46b1bc13f81b050d9b62892b4611d5b9
-TextureImporter:
-  internalIDToNameTable: []
-  externalObjects: {}
-  serializedVersion: 11
-  mipmaps:
-    mipMapMode: 0
-    enableMipMap: 1
-    sRGBTexture: 1
-    linearTexture: 0
-    fadeOut: 0
-    borderMipMap: 0
-    mipMapsPreserveCoverage: 0
-    alphaTestReferenceValue: 0.5
-    mipMapFadeDistanceStart: 1
-    mipMapFadeDistanceEnd: 3
-  bumpmap:
-    convertToNormalMap: 0
-    externalNormalMap: 0
-    heightScale: 0.25
-    normalMapFilter: 0
-  isReadable: 0
-  streamingMipmaps: 0
-  streamingMipmapsPriority: 0
-  grayScaleToAlpha: 0
-  generateCubemap: 6
-  cubemapConvolution: 0
-  seamlessCubemap: 0
-  textureFormat: 1
-  maxTextureSize: 2048
-  textureSettings:
-    serializedVersion: 2
-    filterMode: 0
-    aniso: 1
-    mipBias: 0
-    wrapU: 0
-    wrapV: 0
-    wrapW: 0
-  nPOTScale: 1
-  lightmap: 0
-  compressionQuality: 50
-  spriteMode: 0
-  spriteExtrude: 1
-  spriteMeshType: 1
-  alignment: 0
-  spritePivot: {x: 0.5, y: 0.5}
-  spritePixelsToUnits: 100
-  spriteBorder: {x: 0, y: 0, z: 0, w: 0}
-  spriteGenerateFallbackPhysicsShape: 1
-  alphaUsage: 1
-  alphaIsTransparency: 0
-  spriteTessellationDetail: -1
-  textureType: 0
-  textureShape: 1
-  singleChannelComponent: 0
-  maxTextureSizeSet: 0
-  compressionQualitySet: 0
-  textureFormatSet: 0
-  applyGammaDecoding: 0
-  platformSettings:
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-    buildTarget: DefaultTexturePlatform
-    maxTextureSize: 2048
-    resizeAlgorithm: 0
-    textureFormat: -1
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-    crunchedCompression: 0
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-    crunchedCompression: 0
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-    forceMaximumCompressionQuality_BC6H_BC7: 0
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Assets/automata/Lenia/lenia.shader

@@ -3,11 +3,8 @@
 	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, 0.5)) = 0.1
 	}
 	SubShader
@@ -37,11 +34,8 @@
 			};
 
 			sampler2D _LastFrame;
-			// int _Radius;
 			float _GrowtCenter;
 			float _GrowthWidth;
-			// float _KSharpness;
-			// float _KOffset;
 			float _Speed;
 
 			v2f vert (appdata v)
@@ -49,11 +43,9 @@
 				v2f o;
 				o.vertex = UnityObjectToClipPos(v.vertex);
 				o.uv = v.uv;
-
 				return o;
 			}
 
-
 			float kernel(float p) {
 				float r = p / 8.0;
 				float k_sharpness = 28;
@@ -94,31 +86,8 @@
 
 				const float resolution = 512.0;
 				const float d = 1.0 / resolution;
-				// generated by the rust program
+				// Defines RADIUS Radius Kernel total_max
-				const int Radius = 16;
+				#include "lenia_generated_kernel.cginc"
-// /*
-				#define RADIUS 16
-				// kernel LUT size is 544 bytes
-				const half Kernel[17][16] = {
-					{0.0205, 0.0678, 0.1799, 0.3835, 0.6569, 0.9041, 0.9998, 0.8884, 0.6343, 0.3639, 0.1678, 0.0621, 0.0185, 0.0044, 0.0009, 0.0001, },
-					{0.0346, 0.0871, 0.2065, 0.4147, 0.6847, 0.9193, 0.9987, 0.8756, 0.6186, 0.3520, 0.1611, 0.0593, 0.0176, 0.0042, 0.0008, 0.0001, },
-					{0.0871, 0.1546, 0.2921, 0.5082, 0.7624, 0.9568, 0.9889, 0.8345, 0.5721, 0.3177, 0.1425, 0.0516, 0.0151, 0.0035, 0.0007, 0.0001, },
-					{0.2065, 0.2921, 0.4459, 0.6569, 0.8699, 0.9931, 0.9541, 0.7600, 0.4974, 0.2659, 0.1156, 0.0407, 0.0116, 0.0027, 0.0005, 0.0001, },
-					{0.4147, 0.5082, 0.6569, 0.8305, 0.9667, 0.9931, 0.8756, 0.6501, 0.4014, 0.2043, 0.0852, 0.0290, 0.0080, 0.0018, 0.0003, 0.0000, },
-					{0.6847, 0.7624, 0.8699, 0.9667, 0.9987, 0.9240, 0.7445, 0.5120, 0.2961, 0.1425, 0.0567, 0.0185, 0.0049, 0.0011, 0.0002, 0.0000, },
-					{0.9193, 0.9568, 0.9931, 0.9931, 0.9240, 0.7753, 0.5721, 0.3639, 0.1966, 0.0891, 0.0336, 0.0105, 0.0027, 0.0006, 0.0001, 0.0000, },
-					{0.9987, 0.9889, 0.9541, 0.8756, 0.7445, 0.5721, 0.3887, 0.2292, 0.1156, 0.0493, 0.0176, 0.0052, 0.0013, 0.0003, 0.0000, 0.0000, },
-					{0.8756, 0.8345, 0.7600, 0.6501, 0.5120, 0.3639, 0.2292, 0.1258, 0.0593, 0.0238, 0.0080, 0.0023, 0.0005, 0.0001, 0.0000, 0.0000, },
-					{0.6186, 0.5721, 0.4974, 0.4014, 0.2961, 0.1966, 0.1156, 0.0593, 0.0263, 0.0099, 0.0032, 0.0009, 0.0002, 0.0000, 0.0000, 0.0000, },
-					{0.3520, 0.3177, 0.2659, 0.2043, 0.1425, 0.0891, 0.0493, 0.0238, 0.0099, 0.0035, 0.0011, 0.0003, 0.0001, 0.0000, 0.0000, 0.0000, },
-					{0.1611, 0.1425, 0.1156, 0.0852, 0.0567, 0.0336, 0.0176, 0.0080, 0.0032, 0.0011, 0.0003, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, },
-					{0.0593, 0.0516, 0.0407, 0.0290, 0.0185, 0.0105, 0.0052, 0.0023, 0.0009, 0.0003, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
-					{0.0176, 0.0151, 0.0116, 0.0080, 0.0049, 0.0027, 0.0013, 0.0005, 0.0002, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
-					{0.0042, 0.0035, 0.0027, 0.0018, 0.0011, 0.0006, 0.0003, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
-					{0.0008, 0.0007, 0.0005, 0.0003, 0.0002, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
-					{0.0001, 0.0001, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
-				};
-				const float total_max = 234.37535;
 
 				float total = 0.0;
 				[unroll(RADIUS)]
@@ -152,7 +121,7 @@
 				float state = activation(count) * _Speed + old_state;
 				state = clamp(state, 0, 1);
 
-				// // kernel visualization: lookup table
+				// kernel visualization: lookup table (SLOW)
 				// float k = 0;
 				// {
 				// 	float2 p = (i.uv - 0.5 ) * resolution;
@@ -168,19 +137,17 @@
 				// 	}
 				// }
 
+				// kernel visualisation: real size
 				// 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(p)) * (max(abs(p.x), abs(p.y)) <= _Radius);
-				// float k = kernel(length(i.uv - 0.5) * _Radius * 2); // kernel visualisation: fill square
+
+				// kernel visualisation: fill square
+				// float k = kernel(length(i.uv - 0.5) * _Radius * 2);
 
 				// float a = activation(i.uv.x);
 				// float4 col = float4(state, k, a, 1);
-				// float4 col = float4(state, k, k2, 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 = float4(state, i.uv.x * state, i.uv.y * state, 1);
-
-				float4 col = state;
-				col.a = 1;
 				return col;
 			}
 			ENDCG

Assets/automata/Lenia/lenia_generated_kernel.cginc

@@ -0,0 +1,27 @@
+// generated by the rust program
+const int Radius = 20;
+#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, },
+};
+const float total_max = 356.63977;

Assets/automata/Lenia/lenia_generated_kernel.cginc.meta

@@ -0,0 +1,9 @@
+fileFormatVersion: 2
+guid: f5ad97d01e4ce5aa4aaadce6858bf63f
+ShaderImporter:
+  externalObjects: {}
+  defaultTextures: []
+  nonModifiableTextures: []
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 

Assets/automata/Lenia/lenia_out.mat

@@ -91,7 +91,7 @@ Material:
     - _ZWrite: 1
     m_Colors:
     - _CameraFadeParams: {r: 0, g: Infinity, b: 0, a: 0}
-    - _Color: {r: 2, g: 2, b: 2, a: 1}
+    - _Color: {r: 1, g: 1, b: 1, a: 1}
     - _ColorAddSubDiff: {r: 0, g: 0, b: 0, a: 0}
     - _EmissionColor: {r: 0, g: 0, b: 0, a: 1}
     - _SoftParticleFadeParams: {r: 0, g: 0, b: 0, a: 0}

lenia-kernel/Cargo.toml

@@ -6,3 +6,4 @@ edition = "2021"
 # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
 
 [dependencies]
+image = { version = "0.24.6", default_features = false, features = ["png"] }

lenia-kernel/src/main.rs

@@ -3,33 +3,44 @@ use std::env;
 fn main() {
 	let args: Vec<_> = env::args().skip(1).collect();
 	if args.is_empty() {
-		println!("usage: kernel_radius");
+		println!("specify kernel radius, eg:");
+		println!("cargo run 16 > ../Assets/automata/Lenia/lenia_generated_kernel.cginc");
 		return;
 	}
 	let radius = args[0].parse().unwrap();
 	let k_offset = 0.435;
 	let k_sharpness = 28.0;
 
+	let mut img = image::RgbImage::new(radius * 2 + 1, radius * 2 + 1);
+
 	let mut total_max = 0.0;
 	println!("// generated by the rust program");
 	println!("const int Radius = {};", radius);
 	println!("#define RADIUS {}", radius);
-	println!("				// kernel LUT size is {} bytes", radius * (radius + 1) * 2);
 	println!("const half Kernel[{}][{}] = {{", radius + 1, radius);
 	for y in 0..=radius {
 		print!("	{{");
 		for x in 1..=radius {
-			let k = k(x, y, radius, k_offset, k_sharpness);
+			let k = (k(x, y, radius, k_offset, k_sharpness) * 50.0).floor() / 50.0;
 			total_max += k * 4.0;
-			print!("{:.4}, ", k);
+			print!("{:.2}, ", k);
+			{
+				let pixel = image::Rgb([0, (k * 255.0) as u8, 0]);
+				// let cx = radius
+				img.put_pixel(radius + x, radius + y, pixel);
+				img.put_pixel(radius - y, radius + x, pixel);
+				img.put_pixel(radius - x, radius - y, pixel);
+				img.put_pixel(radius + y, radius - x, pixel);
+			}
 		}
 		println!("}},");
 	}
 	println!("}};");
-	println!("				const float TOTAL_MAX = {};", total_max);
+	println!("const float total_max = {};", total_max);
+	img.save("kernel.png").unwrap();
 }
 
-fn k(x: usize, y: usize, radius: usize, k_offset: f32, k_sharpness: f32) -> f32 {
+fn k(x: u32, y: u32, radius: u32, k_offset: f32, k_sharpness: f32) -> f32 {
 	let x = x as f32;
 	let y = y as f32;
 	let r = (x * x + y * y).sqrt() / radius as f32;