Transitioning - Done!

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Assets/Point/Point Surface.shader

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+Shader "Graph/Point Surface"
+{
+	Properties
+	{
+		_Smoothness("Smoothness", Range(0, 1)) = 0.5
+	}
+
+	SubShader 
+	{
+		CGPROGRAM
+		#pragma surface ConfigureSurface Standard fullforwardshadows
+		#pragma target 3.0
+
+		struct Input
+		{
+			float3 worldPos;
+		};
+
+		float _Smoothness;
+
+		void ConfigureSurface(Input input, inout SurfaceOutputStandard surface)
+		{
+			surface.Albedo = saturate(input.worldPos * 0.5 + 0.5);
+			surface.Smoothness = _Smoothness;
+		}
+
+		ENDCG
+	}
+
+	FallBack "Diffuse"
+}

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Assets/Point/Point URP.mat

@@ -1,5 +1,18 @@
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-  m_Shader: {fileID: -6465566751694194690, guid: 2ccc118ffa0f0574ba86592258e86a9e,
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Assets/Scenes/SampleScene.unity

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Assets/Script/Fractal.cs

@@ -1,184 +0,0 @@
-using Unity.Burst;
-using Unity.Collections;
-using Unity.Jobs;
-using Unity.Mathematics;
-using UnityEngine;
-
-using static Unity.Mathematics.math;
-using quaternion = Unity.Mathematics.quaternion;
-
-public class Fractal : MonoBehaviour
-{
-    [BurstCompile(FloatPrecision.Standard, FloatMode.Fast, CompileSynchronously = true)]
-    private struct UpdateFractalLevelJob : IJobFor
-    {
-        public float spinAngleDelta;
-        public float scale;
-
-        [ReadOnly]
-        public NativeArray<FractalPart> parents;
-
-        public NativeArray<FractalPart> parts;
-
-        [WriteOnly]
-        public NativeArray<float3x4> matrices;
-
-        public void Execute(int i)
-        {
-            var parent = parents[i / 5];
-            var part = parts[i];
-            part.spinAngle += spinAngleDelta;
-            part.worldRotation = mul(parent.worldRotation,
-                mul(part.rotation, quaternion.RotateY(part.spinAngle))
-            );
-            part.worldPosition =
-                parent.worldPosition +
-                mul(parent.worldRotation, 1.5f * scale * part.direction);
-            parts[i] = part;
-
-            float3x3 r = float3x3(part.worldRotation) * scale;
-            matrices[i] = float3x4(r.c0, r.c1, r.c2, part.worldPosition);
-        }
-    }
-
-    private struct FractalPart
-    {
-        public float3 direction, worldPosition;
-        public quaternion rotation, worldRotation;
-        public float spinAngle;
-    }
-
-    NativeArray<FractalPart>[] parts;
-
-    NativeArray<float3x4>[] matrices;
-
-    [SerializeField, Range(1, 8)]
-    int depth = 4;
-
-    [SerializeField]
-    Mesh mesh = default;
-
-    [SerializeField]
-    Material material = default;
-
-    static float3[] directions =
-    {
-        up(), right(), left(), forward(), back()
-    };
-
-    static quaternion[] rotations =
-    {
-        quaternion.identity,
-        quaternion.RotateZ(-0.5f * PI), quaternion.RotateZ(0.5f * PI),
-        quaternion.RotateX(0.5f * PI), quaternion.RotateX(-0.5f * PI)
-    };
-    
-    private FractalPart CreatePart(int childIndex)
-    {
-        return new FractalPart()
-        {
-            direction = directions[childIndex],
-            rotation = rotations[childIndex]
-        };
-    }
-
-    ComputeBuffer[] matricesBuffers;
-
-    static readonly int matricesId = Shader.PropertyToID("_Matrices");
-
-    static MaterialPropertyBlock propertyBlock;
-
-    private void OnEnable()
-    {
-        parts = new NativeArray<FractalPart>[depth];
-        matrices = new NativeArray<float3x4>[depth];
-        matricesBuffers = new ComputeBuffer[depth];
-        int stride = 12 * 4;
-        for (int i = 0, length = 1; i < parts.Length; i++, length *= 5)
-        {
-            parts[i] = new NativeArray<FractalPart>(length, Allocator.Persistent);
-            matrices[i] = new NativeArray<float3x4>(length, Allocator.Persistent);
-            matricesBuffers[i] = new ComputeBuffer(length, stride);
-        }
-        
-        parts[0][0] = CreatePart(0);
-        for (int li = 1; li < parts.Length; li++)
-        {
-            NativeArray<FractalPart> levelParts = parts[li];
-            for (int fpi = 0; fpi < levelParts.Length; fpi += 5)
-            {
-                for (int ci = 0; ci < 5; ci++)
-                {
-                    levelParts[fpi + ci] = CreatePart(ci);
-                }
-            }
-        }
-
-        if (propertyBlock == null)
-        {
-            propertyBlock = new MaterialPropertyBlock();
-        }
-    }
-
-    private void OnDisable()
-    {
-        for (int i = 0; i < matricesBuffers.Length; i++)
-        {
-            matricesBuffers[i].Release();
-            parts[i].Dispose();
-            matrices[i].Dispose();
-        }
-        parts = null;
-        matrices = null;
-        matricesBuffers = null;
-    }
-
-    void OnValidate()
-    {
-        if (parts != null && enabled)
-        {
-            OnDisable();
-            OnEnable();
-        }
-    }
-
-    private void Update()
-    {
-        float spinAngleDelta = 0.125f * PI * Time.deltaTime;
-        FractalPart rootPart = parts[0][0];
-        rootPart.spinAngle += spinAngleDelta;
-        rootPart.worldRotation = mul(transform.rotation,
-            mul(rootPart.rotation, quaternion.RotateY(rootPart.spinAngle))
-        );
-        rootPart.worldPosition = transform.position;
-        parts[0][0] = rootPart;
-        float objectScale = transform.lossyScale.x;
-        float3x3 r = float3x3(rootPart.worldRotation) * objectScale;
-        matrices[0][0] = float3x4(r.c0, r.c1, r.c2, rootPart.worldPosition);
-
-        float scale = objectScale;
-        JobHandle jobHandle = default;
-        for (int li = 1; li < parts.Length; li++)
-        {
-            scale *= 0.5f;
-            jobHandle = new UpdateFractalLevelJob
-            {
-                spinAngleDelta = spinAngleDelta,
-                scale = scale,
-                parents = parts[li - 1],
-                parts = parts[li],
-                matrices = matrices[li]
-            }.ScheduleParallel(parts[li].Length, 5, jobHandle);
-        }
-        jobHandle.Complete();
-
-        var bounds = new Bounds(rootPart.worldPosition, float3(3f * objectScale));
-        for (int i = 0; i < matricesBuffers.Length; i++)
-        {
-            ComputeBuffer buffer = matricesBuffers[i];
-            buffer.SetData(matrices[i]);
-            propertyBlock.SetBuffer(matricesId, buffer);
-            Graphics.DrawMeshInstancedProcedural(mesh, 0, material, bounds, buffer.count, propertyBlock);
-        }
-    }
-}

Assets/Script/FunctionLibrary.cs

@@ -0,0 +1,92 @@
+using UnityEngine;
+using static UnityEngine.Mathf;
+
+public static class FunctionLibrary
+{
+    public delegate Vector3 Function(float u, float v, float t);
+
+    public enum FunctionName { Wave, MultiWave, Ripple, Sphere, Torus }
+
+    private static Function[] functions = { Wave, MultiWave, Ripple, Sphere, Torus };
+
+    public static Function GetFunction(FunctionName name)
+    {
+        return functions[(int)name];
+    }
+
+    public static FunctionName GetNextFunctionName(FunctionName name)
+    {
+        return (int)name < functions.Length - 1 ? name + 1 : 0;
+    }
+
+    public static FunctionName GetRandomFunctionName()
+    {
+        return (FunctionName)Random.Range(0, functions.Length);
+    }
+
+    public static FunctionName GetRandomFunctionNameOtherThan(FunctionName name)
+    {
+        var choice = (FunctionName)Random.Range(1, functions.Length);
+        return choice == name ? 0 : choice;
+    }
+
+    public static Vector3 Wave(float u, float v, float t)
+    {
+        Vector3 p;
+        p.x = u;
+        p.y = Sin(PI * (u + v + t));
+        p.z = v;
+        return p;
+    }
+
+    public static Vector3 MultiWave(float u, float v, float t)
+    {
+        Vector3 p;
+        p.x = u;
+        p.y = Sin(PI * (u + 0.5f * t));
+        p.y += 0.5f * Sin(2f * PI * (v + t));
+        p.y += Sin(PI * (u + v + 0.25f * t));
+        p.y *= 1f / 2.5f;
+        p.z = v;
+        return p;
+    }
+
+    public static Vector3 Ripple(float u, float v, float t)
+    {
+        var d = Sqrt(u * u + v * v);
+        Vector3 p;
+        p.x = u;
+        p.y = Sin(PI * (4f * d - t));
+        p.y /= 1f + 10f * d;
+        p.z = v;
+        return p;
+    }
+
+    public static Vector3 Sphere(float u, float v, float t)
+    {
+        float r = 0.9f + 0.1f * Sin(PI * (6f * u + 4f * v + t));
+        float s = r * Cos(0.5f * PI * v);
+        Vector3 p;
+        p.x = s * Sin(PI * u);
+        p.y = r * Sin(0.5f * PI * v);
+        p.z = s * Cos(PI * u);
+        return p;
+    }
+
+    public static Vector3 Torus(float u, float v, float t)
+    {
+        float r1 = 0.7f + 0.1f * Sin(PI * (6f * u + 0.5f * t));
+        float r2 = 0.15f + 0.05f * Sin(PI * (8f * u + 4f * v + 2f * t));
+        float s = r1 + r2 * Cos(PI * v);
+        Vector3 p;
+        p.x = s * Sin(PI * u);
+        p.y = r2 * Sin(PI * v);
+        p.z = s * Cos(PI * u);
+        return p;
+    }
+
+    public static Vector3 Morph(float u, float v, float t, Function from, Function to, float progress)
+    {
+        return Vector3.LerpUnclamped(from(u, v, t), to(u, v, t), SmoothStep(0.0f, 1.0f, progress));
+    }
+}

Assets/Script/FunctionLibrary.cs.meta

@@ -1,5 +1,5 @@
 fileFormatVersion: 2
-guid: bef3764eec961e04db4297ce68f82391
+guid: e5d4ebe0e863dfd49b58925b59880bf7
 MonoImporter:
   externalObjects: {}
   serializedVersion: 2

Assets/Script/Graph.cs

@@ -0,0 +1,123 @@
+using UnityEngine;
+
+public class Graph : MonoBehaviour
+{
+    [SerializeField]
+    Transform pointPrefab = default;
+
+    [SerializeField, Range(10, 100)]
+    int resolution = 10;
+
+    [SerializeField]
+    FunctionLibrary.FunctionName function = default;
+
+    public enum TransitionMode { Normal, Cycle, Random }
+
+    [SerializeField]
+    TransitionMode transitionMode = TransitionMode.Normal;
+
+    [SerializeField, Min(0.0f)]
+    float functionDuration = 1.0f;
+
+    [SerializeField, Min(0.0f)]
+    float transitionDuration = 1.0f;
+
+    Transform[] points;
+
+    float duration = 0.0f;
+
+    bool transitioning;
+
+    FunctionLibrary.FunctionName transitionFunction;
+
+    private void Awake()
+    {
+        var step = 2f / resolution;
+        var scale = Vector3.one * step;
+        points = new Transform[resolution * resolution];
+        for (int i = 0; i < points.Length; i++)
+        {
+            Transform point = Instantiate(pointPrefab);
+            point.localScale = scale;
+            point.SetParent(transform, false);
+            points[i] = point;
+        }
+    }
+
+    private void Update()
+    {
+        duration += Time.deltaTime;
+        if (transitioning)
+        {
+            if (duration >= transitionDuration)
+            {
+                duration -= transitionDuration;
+                transitioning = false;
+            }
+        }
+        else if (duration >= functionDuration)
+        {
+            duration -= functionDuration;
+            transitioning = true;
+            transitionFunction = function;
+            PickNextFunction();
+        }
+        if (transitioning)
+        {
+            UpdateFunctionTransition();
+        }
+        else
+        {
+            UpdateFunction();
+        }
+    }
+
+    private void PickNextFunction()
+    {
+        if (transitionMode == TransitionMode.Normal) return;
+        function = transitionMode == TransitionMode.Cycle ?
+            FunctionLibrary.GetNextFunctionName(function) :
+            FunctionLibrary.GetRandomFunctionNameOtherThan(function);
+    }
+
+    private void UpdateFunction()
+    {
+        FunctionLibrary.Function f = FunctionLibrary.GetFunction(function);
+        var time = Time.time;
+        var step = 2.0f / resolution;
+        var v = 0.5f * step - 1f;
+        for (int i = 0, x = 0, z = 0; i < points.Length; i++, x++)
+        {
+            if (x == resolution)
+            {
+                x = 0;
+                z += 1;
+                v = (z + 0.5f) * step - 1f;
+            }
+            float u = (x + 0.5f) * step - 1f;
+            points[i].localPosition = f(u, v, time);
+        }
+    }
+
+    private void UpdateFunctionTransition()
+    {
+        FunctionLibrary.Function
+            from = FunctionLibrary.GetFunction(transitionFunction),
+            to = FunctionLibrary.GetFunction(function);
+        float progress = duration / transitionDuration;
+        float time = Time.time;
+        float step = 2f / resolution;
+        float v = 0.5f * step - 1f;
+        for (int i = 0, x = 0, z = 0; i < points.Length; i++, x++)
+        {
+            if (x == resolution)
+            {
+                x = 0;
+                z += 1;
+                v = (z + 0.5f) * step - 1f;
+            }
+            float u = (x + 0.5f) * step - 1f;
+            points[i].localPosition = FunctionLibrary.Morph(u, v, time, from, to, progress);
+        }
+    }
+}

Assets/Script/Graph.cs.meta

@@ -0,0 +1,11 @@
+fileFormatVersion: 2
+guid: 14cd06bfa92d53e4ebc0cde4a0e39db8
+MonoImporter:
+  externalObjects: {}
+  serializedVersion: 2
+  defaultReferences: []
+  executionOrder: 0
+  icon: {instanceID: 0}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 

Assets/Script/PartGPU.hlsl

@@ -1,21 +0,0 @@
-#if defined(UNITY_PROCEDURAL_INSTANCING_ENABLED)
-	StructuredBuffer<float3x4> _Matrices;
-#endif
-
-void ConfigureProcedural () {
-	#if defined(UNITY_PROCEDURAL_INSTANCING_ENABLED)
-		float3x4 m = _Matrices[unity_InstanceID];
-		unity_ObjectToWorld._m00_m01_m02_m03 = m._m00_m01_m02_m03;
-		unity_ObjectToWorld._m10_m11_m12_m13 = m._m10_m11_m12_m13;
-		unity_ObjectToWorld._m20_m21_m22_m23 = m._m20_m21_m22_m23;
-		unity_ObjectToWorld._m30_m31_m32_m33 = float4(0.0, 0.0, 0.0, 1.0);
-	#endif
-}
-
-void ShaderGraphFunction_float (float3 In, out float3 Out) {
-	Out = In;
-}
-
-void ShaderGraphFunction_half (half3 In, out half3 Out) {
-	Out = In;
-}

Packages/manifest.json

@@ -1,6 +1,5 @@
 {
   "dependencies": {
-    "com.unity.burst": "1.4.4",
     "com.unity.render-pipelines.universal": "7.5.3",
     "com.unity.textmeshpro": "2.1.3",
     "com.unity.modules.ai": "1.0.0",

Packages/packages-lock.json

@@ -1,21 +1,5 @@
 {
   "dependencies": {
-    "com.unity.burst": {
-      "version": "1.4.4",
-      "depth": 0,
-      "source": "registry",
-      "dependencies": {
-        "com.unity.mathematics": "1.2.1"
-      },
-      "url": "https://packages.unity.cn"
-    },
-    "com.unity.mathematics": {
-      "version": "1.2.1",
-      "depth": 1,
-      "source": "registry",
-      "dependencies": {},
-      "url": "https://packages.unity.cn"
-    },
     "com.unity.render-pipelines.core": {
       "version": "7.5.3",
       "depth": 1,

ProjectSettings/BurstAotSettings_StandaloneWindows.json

@@ -1,16 +0,0 @@
-{
-  "MonoBehaviour": {
-    "Version": 3,
-    "EnableBurstCompilation": true,
-    "EnableOptimisations": true,
-    "EnableSafetyChecks": false,
-    "EnableDebugInAllBuilds": false,
-    "UsePlatformSDKLinker": false,
-    "CpuMinTargetX32": 0,
-    "CpuMaxTargetX32": 0,
-    "CpuMinTargetX64": 0,
-    "CpuMaxTargetX64": 0,
-    "CpuTargetsX32": 6,
-    "CpuTargetsX64": 72
-  }
-}

ProjectSettings/ProjectSettings.asset

@@ -584,8 +584,7 @@ PlayerSettings:
   webGLWasmStreaming: 0
   scriptingDefineSymbols: {}
   platformArchitecture: {}
-  scriptingBackend:
-    Standalone: 0
+  scriptingBackend: {}
   il2cppCompilerConfiguration: {}
   managedStrippingLevel: {}
   incrementalIl2cppBuild: {}