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Assets/Packages/com.unity.uiextensions/Runtime/Scripts/Layout/CardUI/Superellipse Creation/MeshCreator.cs

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+/// <summary>
+/// Credit - ryanslikesocool 
+/// Sourced from - https://github.com/ryanslikesocool/Unity-Card-UI
+/// </summary>
+
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+namespace UnityEngine.UI.Extensions
+{
+
+///Credit where credit is due
+///https://wiki.unity3d.com/index.php?title=Triangulator  
+[ExecuteInEditMode]
+public class MeshCreator : MonoBehaviour
+{
+    public void CreateMesh(List<Vector2> points)
+    {
+        // Create Vector2 vertices
+        Vector2[] vertices2D = points.ToArray();
+
+        // Use the triangulator to get indices for creating triangles
+        Triangulator tr = new Triangulator(vertices2D);
+        int[] indices = tr.Triangulate();
+
+        // Create the Vector3 vertices
+        Vector3[] vertices = new Vector3[vertices2D.Length];
+        for (int i = 0; i < vertices.Length; i++)
+        {
+            vertices[i] = new Vector3(vertices2D[i].x, vertices2D[i].y, 0);
+        }
+
+        // Create the mesh
+        Mesh msh = new Mesh();
+        msh.vertices = vertices;
+        msh.triangles = indices;
+        msh.RecalculateNormals();
+        msh.RecalculateBounds();
+
+        // Set up game object with mesh;
+        GetComponent<MeshFilter>().mesh = msh;
+    }
+}
+}

Assets/Packages/com.unity.uiextensions/Runtime/Scripts/Layout/CardUI/Superellipse Creation/MeshCreator.cs.meta

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Assets/Packages/com.unity.uiextensions/Runtime/Scripts/Layout/CardUI/Superellipse Creation/SuperellipsePoints.cs

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+/// <summary>
+/// Credit - ryanslikesocool 
+/// Sourced from - https://github.com/ryanslikesocool/Unity-Card-UI
+/// </summary>
+
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+namespace UnityEngine.UI.Extensions
+{
+///The formula for a basic superellipse is
+///Mathf.Pow(Mathf.Abs(x / a), n) + Mathf.Pow(Mathf.Abs(y / b), n) = 1
+[ExecuteInEditMode]
+public class SuperellipsePoints : MonoBehaviour
+{
+    public float xLimits = 1f;
+    public float yLimits = 1f;
+    [Range(1f, 96f)]
+    public float superness = 4f;
+
+    private float lastXLim;
+    private float lastYLim;
+    private float lastSuper;
+
+    [Space]
+    [Range(1, 32)]
+    public int levelOfDetail = 4;
+
+    private int lastLoD;
+
+    [Space]
+    public Material material;
+
+    private List<Vector2> pointList = new List<Vector2>();
+
+    void Start()
+    {
+        RecalculateSuperellipse();
+
+        GetComponent<MeshRenderer>().material = material;
+
+        lastXLim = xLimits;
+        lastYLim = yLimits;
+        lastSuper = superness;
+
+        lastLoD = levelOfDetail;
+    }
+
+    void Update()
+    {
+        if (lastXLim != xLimits || lastYLim != yLimits || lastSuper != superness || lastLoD != levelOfDetail)
+        {
+            RecalculateSuperellipse();
+        }
+
+        lastXLim = xLimits;
+        lastYLim = yLimits;
+        lastSuper = superness;
+
+        lastLoD = levelOfDetail;
+    }
+
+    void RecalculateSuperellipse()
+    {
+        pointList.Clear();
+
+        float realLoD = levelOfDetail * 4;
+
+        for (float i = 0; i < xLimits; i += 1 / realLoD)
+        {
+            float y = Superellipse(xLimits, yLimits, i, superness);
+            Vector2 tempVecTwo = new Vector2(i, y);
+            pointList.Add(tempVecTwo);
+        }
+        pointList.Add(new Vector2(xLimits, 0));
+        pointList.Add(Vector2.zero);
+
+        GetComponent<MeshCreator>().CreateMesh(pointList);
+    }
+
+    float Superellipse(float a, float b, float x, float n)
+    {
+        float alpha = Mathf.Pow((x / a), n);
+        float beta = 1 - alpha;
+        float y = Mathf.Pow(beta, 1 / n) * b;
+
+        return y;
+    }
+}
+}

Assets/Packages/com.unity.uiextensions/Runtime/Scripts/Layout/CardUI/Superellipse Creation/SuperellipsePoints.cs.meta

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Assets/Packages/com.unity.uiextensions/Runtime/Scripts/Layout/CardUI/Superellipse Creation/Triangulator.cs

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+/// <summary>
+/// Credit - ryanslikesocool 
+/// Sourced from - https://github.com/ryanslikesocool/Unity-Card-UI
+/// </summary>
+
+using UnityEngine;
+using System.Collections.Generic;
+
+namespace UnityEngine.UI.Extensions
+{
+///Credit where credit is due
+///https://wiki.unity3d.com/index.php?title=Triangulator 
+[ExecuteInEditMode]
+public class Triangulator
+{
+    private List<Vector2> m_points = new List<Vector2>();
+
+    public Triangulator(Vector2[] points)
+    {
+        m_points = new List<Vector2>(points);
+    }
+
+    public int[] Triangulate()
+    {
+        List<int> indices = new List<int>();
+
+        int n = m_points.Count;
+        if (n < 3)
+            return indices.ToArray();
+
+        int[] V = new int[n];
+        if (Area() > 0)
+        {
+            for (int v = 0; v < n; v++)
+                V[v] = v;
+        }
+        else
+        {
+            for (int v = 0; v < n; v++)
+                V[v] = (n - 1) - v;
+        }
+
+        int nv = n;
+        int count = 2 * nv;
+        for (int m = 0, v = nv - 1; nv > 2;)
+        {
+            if ((count--) <= 0)
+                return indices.ToArray();
+
+            int u = v;
+            if (nv <= u)
+                u = 0;
+            v = u + 1;
+            if (nv <= v)
+                v = 0;
+            int w = v + 1;
+            if (nv <= w)
+                w = 0;
+
+            if (Snip(u, v, w, nv, V))
+            {
+                int a, b, c, s, t;
+                a = V[u];
+                b = V[v];
+                c = V[w];
+                indices.Add(a);
+                indices.Add(b);
+                indices.Add(c);
+                m++;
+                for (s = v, t = v + 1; t < nv; s++, t++)
+                    V[s] = V[t];
+                nv--;
+                count = 2 * nv;
+            }
+        }
+
+        indices.Reverse();
+        return indices.ToArray();
+    }
+
+    private float Area()
+    {
+        int n = m_points.Count;
+        float A = 0.0f;
+        for (int p = n - 1, q = 0; q < n; p = q++)
+        {
+            Vector2 pval = m_points[p];
+            Vector2 qval = m_points[q];
+            A += pval.x * qval.y - qval.x * pval.y;
+        }
+        return (A * 0.5f);
+    }
+
+    private bool Snip(int u, int v, int w, int n, int[] V)
+    {
+        int p;
+        Vector2 A = m_points[V[u]];
+        Vector2 B = m_points[V[v]];
+        Vector2 C = m_points[V[w]];
+        if (Mathf.Epsilon > (((B.x - A.x) * (C.y - A.y)) - ((B.y - A.y) * (C.x - A.x))))
+            return false;
+        for (p = 0; p < n; p++)
+        {
+            if ((p == u) || (p == v) || (p == w))
+                continue;
+            Vector2 P = m_points[V[p]];
+            if (InsideTriangle(A, B, C, P))
+                return false;
+        }
+        return true;
+    }
+
+    private bool InsideTriangle(Vector2 A, Vector2 B, Vector2 C, Vector2 P)
+    {
+        float ax, ay, bx, by, cx, cy, apx, apy, bpx, bpy, cpx, cpy;
+        float cCROSSap, bCROSScp, aCROSSbp;
+
+        ax = C.x - B.x; ay = C.y - B.y;
+        bx = A.x - C.x; by = A.y - C.y;
+        cx = B.x - A.x; cy = B.y - A.y;
+        apx = P.x - A.x; apy = P.y - A.y;
+        bpx = P.x - B.x; bpy = P.y - B.y;
+        cpx = P.x - C.x; cpy = P.y - C.y;
+
+        aCROSSbp = ax * bpy - ay * bpx;
+        cCROSSap = cx * apy - cy * apx;
+        bCROSScp = bx * cpy - by * cpx;
+
+        return ((aCROSSbp >= 0.0f) && (bCROSScp >= 0.0f) && (cCROSSap >= 0.0f));
+    }
+}
+}

Assets/Packages/com.unity.uiextensions/Runtime/Scripts/Layout/CardUI/Superellipse Creation/Triangulator.cs.meta

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