From Mathematical Surfaces

Assets/Script/FunctionLibrary.cs

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+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;
+    }
+}