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Assets/Point/Point Surface.mat

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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

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-  m_Name: Clock Arm Seconds
+  m_Name: Point URP
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Assets/Script/Clock.cs

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-using System;
-using UnityEngine;
-
-public class Clock : MonoBehaviour
-{
-    const float hoursToDegrees = -30.0f;
-    const float minutesToDegrees = -6.0f;
-    const float secondsToDegrees = -6.0f;
-
-    [SerializeField]
-    Transform hoursPivot = default;
-    
-    [SerializeField]
-    Transform minutesPivot = default;
-
-    [SerializeField]
-    Transform secondsPivot = default;
-
-    private void Update()
-    {
-        var time = DateTime.Now.TimeOfDay;
-        hoursPivot.localRotation = Quaternion.Euler(0.0f, 0.0f, hoursToDegrees * (float)time.TotalHours);
-        minutesPivot.localRotation = Quaternion.Euler(0.0f, 0.0f, minutesToDegrees * (float)time.TotalMinutes);
-        secondsPivot.localRotation = Quaternion.Euler(0.0f, 0.0f, secondsToDegrees * (float)time.TotalSeconds);
-    }
-}

Assets/Script/FunctionLibrary.cs

@@ -0,0 +1,71 @@
+using UnityEngine;
+using static UnityEngine.Mathf;
+
+public static class FunctionLibrary
+{
+    public delegate Vector3 Function(float u, float v, float y);
+
+    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 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;
+    }
+}

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Assets/Script/Graph.cs

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+using UnityEngine;
+
+public class Graph : MonoBehaviour
+{
+    [SerializeField]
+    Transform pointPrefab = default;
+
+    [SerializeField, Range(10, 100)]
+    int resolution = 10;
+
+    [SerializeField]
+    FunctionLibrary.FunctionName function = default;
+
+    Transform[] points;
+
+    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()
+    {
+        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);
+        }
+    }
+}

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