Lenia: remove texture sampler, reduce gpu usage by ~45%

Assets/automata/Automata.unity

@@ -38,7 +38,7 @@ RenderSettings:
   m_ReflectionIntensity: 1
   m_CustomReflection: {fileID: 0}
   m_Sun: {fileID: 0}
-  m_IndirectSpecularColor: {r: 0.18029127, g: 0.22572401, b: 0.3069303, a: 1}
+  m_IndirectSpecularColor: {r: 0.17288938, g: 0.21605867, b: 0.2980182, a: 1}
   m_UseRadianceAmbientProbe: 0
 --- !u!157 &3
 LightmapSettings:
@@ -206,13 +206,13 @@ Transform:
   m_PrefabInstance: {fileID: 0}
   m_PrefabAsset: {fileID: 0}
   m_GameObject: {fileID: 88997009}
-  m_LocalRotation: {x: 0.40821788, y: -0.23456968, z: 0.10938163, w: 0.8754261}
+  m_LocalRotation: {x: 0.7321534, y: -0.01281865, z: 0.00015350126, w: 0.68101907}
   m_LocalPosition: {x: 0, y: 3, z: 0}
   m_LocalScale: {x: 1, y: 1, z: 1}
   m_Children: []
   m_Father: {fileID: 0}
   m_RootOrder: 1
-  m_LocalEulerAnglesHint: {x: 50, y: -30, z: 0}
+  m_LocalEulerAnglesHint: {x: 85.73, y: -166.615, z: -165.563}
 --- !u!1 &128608326
 GameObject:
   m_ObjectHideFlags: 0
@@ -830,11 +830,11 @@ Transform:
   m_PrefabAsset: {fileID: 0}
   m_GameObject: {fileID: 336599934}
   m_LocalRotation: {x: 0, y: 0, z: 0, w: 1}
-  m_LocalPosition: {x: -0.371, y: 0.35, z: 0}
+  m_LocalPosition: {x: -8.069, y: 0.308, z: -0.419}
-  m_LocalScale: {x: 0.1, y: 0.3, z: 0.03}
+  m_LocalScale: {x: 1, y: 1, z: 1}
   m_Children: []
   m_Father: {fileID: 0}
-  m_RootOrder: 3
+  m_RootOrder: 4
   m_LocalEulerAnglesHint: {x: 0, y: 0, z: 0}
 --- !u!1 &413786049
 GameObject:
@@ -1352,7 +1352,7 @@ Transform:
   m_PrefabAsset: {fileID: 0}
   m_GameObject: {fileID: 1170317910}
   m_LocalRotation: {x: 0, y: 1, z: 0, w: 0}
-  m_LocalPosition: {x: 0, y: 0.6, z: 2}
+  m_LocalPosition: {x: 0, y: 0.5, z: 2}
   m_LocalScale: {x: 1, y: 1, z: 1}
   m_Children:
   - {fileID: 1089900912}
@@ -1362,7 +1362,7 @@ Transform:
   - {fileID: 413786050}
   - {fileID: 134281446}
   m_Father: {fileID: 0}
-  m_RootOrder: 8
+  m_RootOrder: 3
   m_LocalEulerAnglesHint: {x: 0, y: 180, z: 0}
 --- !u!114 &1170317912
 MonoBehaviour:
@@ -1503,7 +1503,7 @@ Camera:
   m_Depth: 0
   m_CullingMask:
     serializedVersion: 2
-    m_Bits: 2147946295
+    m_Bits: 2147946263
   m_RenderingPath: -1
   m_TargetTexture: {fileID: 8400000, guid: 97ad7e4fd281e001d9f334026cef6605, type: 2}
   m_TargetDisplay: 0
@@ -1773,7 +1773,7 @@ GameObject:
   m_Icon: {fileID: 0}
   m_NavMeshLayer: 0
   m_StaticEditorFlags: 0
-  m_IsActive: 0
+  m_IsActive: 1
 --- !u!65 &1377711729
 BoxCollider:
   m_ObjectHideFlags: 0
@@ -1850,7 +1850,7 @@ Transform:
   - {fileID: 1534265987}
   - {fileID: 1235347441}
   m_Father: {fileID: 0}
-  m_RootOrder: 5
+  m_RootOrder: 6
   m_LocalEulerAnglesHint: {x: 0, y: 0, z: 0}
 --- !u!114 &1377711733
 MonoBehaviour:
@@ -2412,7 +2412,7 @@ Transform:
   - {fileID: 289856512}
   - {fileID: 1759620714}
   m_Father: {fileID: 0}
-  m_RootOrder: 7
+  m_RootOrder: 8
   m_LocalEulerAnglesHint: {x: 0, y: -180, z: 0}
 --- !u!1 &1929306243
 GameObject:
@@ -2709,11 +2709,11 @@ Transform:
   m_PrefabAsset: {fileID: 0}
   m_GameObject: {fileID: 2044521647}
   m_LocalRotation: {x: 0, y: 1, z: 0, w: 0}
-  m_LocalPosition: {x: -2.402, y: 0.506, z: 0.196}
+  m_LocalPosition: {x: -2.402, y: 0.506, z: 0.277}
   m_LocalScale: {x: 0.125, y: 0.125, z: 0.125}
   m_Children: []
   m_Father: {fileID: 0}
-  m_RootOrder: 6
+  m_RootOrder: 7
   m_LocalEulerAnglesHint: {x: 0, y: 180, z: 0}
 --- !u!1 &2129299478
 GameObject:
@@ -2870,7 +2870,7 @@ Transform:
   m_Children:
   - {fileID: 1187452030}
   m_Father: {fileID: 0}
-  m_RootOrder: 4
+  m_RootOrder: 5
   m_LocalEulerAnglesHint: {x: 0, y: -180, z: 0}
 --- !u!114 &2129299486
 MonoBehaviour:

Assets/automata/GoL/gol_out.mat

@@ -8,7 +8,7 @@ Material:
   m_PrefabInstance: {fileID: 0}
   m_PrefabAsset: {fileID: 0}
   m_Name: gol_out
-  m_Shader: {fileID: 4800000, guid: 6bd3377429d62992c8fdea6f71c8bcaa, type: 3}
+  m_Shader: {fileID: 4800000, guid: 2e618ea97d394cb79a97f3f69d29807a, type: 3}
   m_ShaderKeywords: 
   m_LightmapFlags: 0
   m_EnableInstancingVariants: 0
@@ -70,6 +70,7 @@ Material:
     - _DistortionStrength: 1
     - _DistortionStrengthScaled: 0
     - _DstBlend: 0
+    - _Emission: 0.5
     - _EmissionEnabled: 0
     - _FlipbookMode: 0
     - _GlossMapScale: 1

Assets/automata/Lenia/lenia.shader

@@ -20,6 +20,8 @@
 
 			#include "UnityCG.cginc"
 
+			#define WIDTH 512
+
 			struct appdata
 			{
 				float4 vertex : POSITION;
@@ -33,7 +35,7 @@
 				float4 vertex : SV_POSITION;
 			};
 
-			sampler2D _LastFrame;
+			texture2D _LastFrame;
 			float _GrowtCenter;
 			float _GrowthWidth;
 			float _Speed;
@@ -74,43 +76,42 @@
 				return exp(-((u-mu) * (u-mu)) / (2 * sigma * sigma)) * 2.0 - 1.0;
 			}
 
-			inline half value(float2 center, float x, float y) {
+			inline float value(uint2 p, int dx, int dy) {
-				return tex2D(_LastFrame, center + float2(x, y)).r;
+				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
 			{
 				if(_ProjectionParams.z > 1) discard;
 
-				const float resolution = 512.0;
-				const float d = 1.0 / resolution;
 				// Defines RADIUS Kernel total_max
 				#include "lenia_generated_kernel.cginc"
+				const uint2 p = i.uv * WIDTH;
 
 				float total = 0.0;
 				[unroll(RADIUS)]
 				for (int y = 0; y < RADIUS; y++) {
 					[unroll(RADIUS)]
 					for (int x = 1; x <= RADIUS; x++) {
-						const float xx = (float)x * d;
+						total += value(p, x, y) * Kernel[y][x - 1];
-						const float yy = (float)y * d;
+						total += value(p, -y, x) * Kernel[y][x - 1];
-						total += value(i.uv, xx, yy) * Kernel[y][x-1];
+						total += value(p, -x, -y) * Kernel[y][x - 1];
-						total += value(i.uv, -yy, xx) * Kernel[y][x-1];
+						total += value(p, y, -x) * Kernel[y][x - 1];
-						total += value(i.uv, -xx, -yy) * Kernel[y][x-1];
-						total += value(i.uv, yy, -xx) * Kernel[y][x-1];
 					}
 				}
-				float old_state = value(i.uv, 0.0, 0.0) ;
+				float old_state = value(p, 0, 0) ;
 				float count = total / total_max;
 
 				const float step = _Speed * unity_DeltaTime.x;
 				float state = activation(count) * step + old_state;
 				state = clamp(state, 0, 1);
 
-				// kernel visualization: lookup table (SLOW)
+				// kernel visualization: lookup table (VERY SLOW)
 				// float k = 0;
 				// {
-				// 	float2 p = (i.uv - 0.5 ) * resolution;
+				// 	float2 p = (i.uv - 0.5 ) * WIDTH;
 				// 	p = floor(p);
 				// 	if (p.x > 0 && p.y >= 0) {
 				// 		k = Kernel[p.y][p.x-1];
@@ -124,7 +125,7 @@
 				// }
 
 				// kernel visualisation: real size
-				// float2 p = (i.uv - 0.5) * resolution;
+				// float2 p = (i.uv - 0.5) * WIDTH;
 				// float k = kernel(length(p)) * (max(abs(p.x), abs(p.y)) <= RADIUS);
 
 				// kernel visualisation: fill square

Assets/automata/Lenia/lenia_generated_kernel.cginc

@@ -24,3 +24,5 @@ const half Kernel[21][20] = {
 	{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
+// (lookups multiplied by 0.0 get optimised away by the shader compiler, and this giant table generally only exists at compile time)

Assets/automata/Lenia/lenia_out.mat

@@ -8,15 +8,14 @@ Material:
   m_PrefabInstance: {fileID: 0}
   m_PrefabAsset: {fileID: 0}
   m_Name: lenia_out
-  m_Shader: {fileID: 211, guid: 0000000000000000f000000000000000, type: 0}
+  m_Shader: {fileID: 4800000, guid: 2e618ea97d394cb79a97f3f69d29807a, type: 3}
   m_ShaderKeywords: 
   m_LightmapFlags: 0
   m_EnableInstancingVariants: 0
   m_DoubleSidedGI: 0
   m_CustomRenderQueue: -1
   stringTagMap: {}
-  disabledShaderPasses:
+  disabledShaderPasses: []
-  - ALWAYS
   m_SavedProperties:
     serializedVersion: 3
     m_TexEnvs:
@@ -71,6 +70,7 @@ Material:
     - _DistortionStrength: 1
     - _DistortionStrengthScaled: 0
     - _DstBlend: 0
+    - _Emission: 0.5
     - _EmissionEnabled: 0
     - _FlipbookMode: 0
     - _GlossMapScale: 1

Assets/automata/ca_output.shader

@@ -0,0 +1,43 @@
+Shader "CrispyPin/CA Output"
+{
+	Properties
+	{
+		[NoScaleOffset]
+		_MainTex ("RenderTexture", 2D) = "white" {}
+		_Emission ("Emission", Range(0, 1)) = 0.5
+	}
+	SubShader
+	{
+		Tags { "RenderType"="Opaque" }
+		LOD 200
+
+		CGPROGRAM
+		// Physically based Standard lighting model, and enable shadows on all light types
+		#pragma surface surf Standard fullforwardshadows
+
+		// Use shader model 3.0 target, to get nicer looking lighting
+		#pragma target 3.0
+
+		struct Input
+		{
+			float2 uv_MainTex;
+		};
+
+		sampler2D _MainTex;
+		half _Emission;
+
+		void surf (Input IN, inout SurfaceOutputStandard o)
+		{
+			// don't interfere with simulation camera
+			if(_ProjectionParams.z < 1) discard;
+
+			// Albedo comes from a texture tinted by color
+			fixed4 c = tex2D(_MainTex, IN.uv_MainTex);
+			o.Albedo = c.rgb;
+			o.Emission = c.rgb * _Emission;
+
+		}
+		ENDCG
+	}
+	FallBack "Diffuse"
+}

Assets/automata/ca_output.shader.meta

@@ -1,5 +1,5 @@
 fileFormatVersion: 2
-guid: 6bd3377429d62992c8fdea6f71c8bcaa
+guid: 2e618ea97d394cb79a97f3f69d29807a
 ShaderImporter:
   externalObjects: {}
   defaultTextures: []

Assets/automata/sim_output.shader

@@ -1,61 +0,0 @@
-Shader "CrispyPin/SimOutput"
-{
-	Properties
-	{
-		_MainTex ("Texture", 2D) = "white" {}
-	}
-	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;
-				UNITY_VERTEX_INPUT_INSTANCE_ID
-			};
-
-			struct v2f
-			{
-				float2 uv : TEXCOORD0;
-				float4 vertex : SV_POSITION;
-				UNITY_VERTEX_OUTPUT_STEREO
-
-			};
-
-			sampler2D _MainTex;
-			float4 _MainTex_ST;
-
-			v2f vert (appdata v)
-			{
-				v2f o;
-				UNITY_SETUP_INSTANCE_ID(v);
-				UNITY_INITIALIZE_OUTPUT(v2f, o);
-				UNITY_INITIALIZE_VERTEX_OUTPUT_STEREO(o);
-
-				o.vertex = UnityObjectToClipPos(v.vertex);
-				o.uv = TRANSFORM_TEX(v.uv, _MainTex);
-				return o;
-			}
-
-			fixed4 frag (v2f i) : SV_Target
-			{
-				// don't interfere with simulation camera
-				if(_ProjectionParams.z < 1) discard;
-
-				fixed4 col = tex2D(_MainTex, i.uv);
-				return col;
-			}
-			ENDCG
-		}
-	}
-}

lenia-kernel/src/main.rs

@@ -10,18 +10,23 @@ fn main() {
 	let radius = args[0].parse().unwrap();
 	let k_offset = 0.435;
 	let k_sharpness = 28.0;
+	let precision = 50.0; // for rounding
 
 	let mut img = image::RgbImage::new(radius * 2 + 1, radius * 2 + 1);
 
 	let mut total_max = 0.0;
+	let mut total_lookups = 0;
 	println!("// generated by the rust program");
 	println!("#define RADIUS {}", radius);
 	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) * 50.0).floor() / 50.0;
+			let k = (k(x, y, radius, k_offset, k_sharpness) * precision).floor() / precision;
 			total_max += k * 4.0;
+			if k > 0.0 {
+				total_lookups += 1;
+			}
 			print!("{:.2}, ", k);
 			{
 				let pixel = image::Rgb([0, (k * 255.0) as u8, 0]);
@@ -36,6 +41,12 @@ fn main() {
 	}
 	println!("}};");
 	println!("const float total_max = {};", total_max);
+	println!(
+		"// Total texture lookups: {} * 4 + 1 = {}",
+		total_lookups,
+		total_lookups * 4 + 1
+	);
+	println!("// (lookups multiplied by 0.0 get optimised away by the shader compiler, and this giant table generally only exists at compile time)");
 	img.save("kernel.png").unwrap();
 }