Upload demo files

Author: Mogoson

README.md

@@ -1 +1,41 @@
-# MGS.Mathematics
+[TOC]
+
+# MGS.Mathematics
+
+## Summary
+
+- Mathematics code for C# and Unity project develop.
+
+## Environment
+
+- Unity 5.0 or above.
+- .Net Framework 3.5 or above.
+
+## Platform
+
+- Windows
+
+## Module
+### Geometry
+
+- Vector2D, Line, Circle.
+- Relation, Intersection.
+
+### Hermite Curve
+
+- Hermite polynomial.
+- Hermite Curve.
+
+### Math Smooth
+
+- Linear Smooth.
+- Quadratic Smooth.
+- Cubic Smooth.
+
+## Demo
+
+- Demos in the path "MGS.Packages/Mathematics/Demo/" provide reference to you.
+
+------
+
+Copyright © 2022 Mogoson.	mogoson@outlook.com

UnityProject/Assets/MGS.Packages/HelpHUD.cs

@@ -0,0 +1,46 @@
+/*************************************************************************
+ *  Copyright © 2021 Mogoson. All rights reserved.
+ *------------------------------------------------------------------------
+ *  File         :  HelpHUD.cs
+ *  Description  :  Draw help HUD in scene.
+ *------------------------------------------------------------------------
+ *  Author       :  Mogoson
+ *  Version      :  0.1.0
+ *  Date         :  4/15/2018
+ *  Description  :  Initial development version.
+ *************************************************************************/
+
+using UnityEngine;
+
+namespace MGS.Packages.Demo
+{
+    [ExecuteInEditMode]
+    public class HelpHUD : MonoBehaviour
+    {
+        #region Field and Property
+        [Multiline]
+        public string info = "Help info.";
+        public Color color = Color.black;
+
+        public float top = 10;
+        public float left = 10;
+        #endregion
+
+        #region Private Method
+        private void OnGUI()
+        {
+            DrawHelpHUD();
+        }
+
+        private void DrawHelpHUD()
+        {
+            GUI.color = color;
+            GUILayout.Space(top);
+            GUILayout.BeginHorizontal();
+            GUILayout.Space(left);
+            GUILayout.Label(info);
+            GUILayout.EndHorizontal();
+        }
+        #endregion
+    }
+}

UnityProject/Assets/MGS.Packages/HelpHUD.cs.meta

@@ -0,0 +1,56 @@
+/*************************************************************************
+ *  Copyright © 2022 Mogoson. All rights reserved.
+ *------------------------------------------------------------------------
+ *  File         :  HermiteCurveDemo.cs
+ *  Description  :  Null.
+ *------------------------------------------------------------------------
+ *  Author       :  Mogoson
+ *  Version      :  1.0.0
+ *  Date         :  11/29/2022
+ *  Description  :  Initial development version.
+ *************************************************************************/
+
+using System.Collections.Generic;
+using UnityEngine;
+
+namespace MGS.Mathematics.Demo
+{
+    public class HermiteCurveDemo : MonoBehaviour
+    {
+        LineRenderer lineRenderer;
+
+        void Start()
+        {
+            lineRenderer = GetComponent<LineRenderer>();
+        }
+
+        void Update()
+        {
+            if (Input.GetKeyDown(KeyCode.H))
+            {
+                var fs = new List<KeyFrame>();
+                foreach (Transform item in transform)
+                {
+                    fs.Add(new KeyFrame(item.position.x, item.position.y));
+                }
+
+                var curve = new HermiteCurve(fs.ToArray());
+                curve.SmoothTangents();
+
+                var start = fs[0].time;
+                var end = fs[fs.Count - 1].time;
+                var delta = (end - start) / 30.0f;
+                var timer = start;
+                var index = 0;
+                while (timer < end)
+                {
+                    var fm = curve.Evaluate(timer);
+                    var pos = new Vector3(timer, fm);
+                    lineRenderer.SetPosition(index, pos);
+                    timer += delta;
+                    index++;
+                }
+            }
+        }
+    }
+}

UnityProject/Assets/MGS.Packages/Mathematics/Demo/Materials.meta

@@ -0,0 +1,65 @@
+/*************************************************************************
+ *  Copyright © 2022 Mogoson. All rights reserved.
+ *------------------------------------------------------------------------
+ *  File         :  IntersectionDemo.cs
+ *  Description  :  Null.
+ *------------------------------------------------------------------------
+ *  Author       :  Mogoson
+ *  Version      :  1.0.0
+ *  Date         :  11/29/2022
+ *  Description  :  Initial development version.
+ *************************************************************************/
+
+using UnityEngine;
+
+namespace MGS.Mathematics.Demo
+{
+    public class IntersectionDemo : MonoBehaviour
+    {
+        public Transform circle0;
+        public Transform circle1;
+        public Transform line;
+        public Transform[] Intersections;
+
+        void Update()
+        {
+            if (Input.GetKeyDown(KeyCode.I))
+            {
+                foreach (var item in Intersections)
+                {
+                    item.gameObject.SetActive(false);
+                }
+
+                var c0 = new Circle(new Vector2D(circle0.position.x, circle0.position.y), circle0.localScale.z * 0.5f);
+                var c1 = new Circle(new Vector2D(circle1.position.x, circle1.position.y), circle1.localScale.z * 0.5f);
+                var psCC = Geometry.GetIntersections(c0, c1);
+                if (psCC != null && psCC.Count > 0)
+                {
+                    Intersections[0].gameObject.SetActive(true);
+                    Intersections[0].position = new Vector3((float)psCC[0].x, (float)psCC[0].y);
+                    if (psCC.Count > 1)
+                    {
+                        Intersections[1].gameObject.SetActive(true);
+                        Intersections[1].position = new Vector3((float)psCC[1].x, (float)psCC[1].y);
+                    }
+                }
+
+                var offset = line.position + line.right;
+                var p0 = new Vector2D(line.position.x, line.position.y);
+                var p1 = new Vector2D(offset.x, offset.y);
+                var L = Line.FromPoints(p0, p1);
+                var psCL = Geometry.GetIntersections(c1, L);
+                if (psCL != null && psCL.Count > 0)
+                {
+                    Intersections[2].gameObject.SetActive(true);
+                    Intersections[2].position = new Vector3((float)psCL[0].x, (float)psCL[0].y);
+                    if (psCL.Count > 1)
+                    {
+                        Intersections[3].gameObject.SetActive(true);
+                        Intersections[3].position = new Vector3((float)psCL[1].x, (float)psCL[1].y);
+                    }
+                }
+            }
+        }
+    }
+}

UnityProject/Assets/MGS.Packages/Mathematics/Demo/Materials/Blue.mat

@@ -0,0 +1,57 @@
+/*************************************************************************
+ *  Copyright © 2022 Mogoson. All rights reserved.
+ *------------------------------------------------------------------------
+ *  File         :  MathSmoothDemo.cs
+ *  Description  :  Null.
+ *------------------------------------------------------------------------
+ *  Author       :  Mogoson
+ *  Version      :  1.0.0
+ *  Date         :  11/29/2022
+ *  Description  :  Initial development version.
+ *************************************************************************/
+
+using System.Collections.Generic;
+using UnityEngine;
+
+namespace MGS.Mathematics.Demo
+{
+    public class MathSmoothDemo : MonoBehaviour
+    {
+        public LineRenderer[] lines;
+
+        void Update()
+        {
+            if (Input.GetKeyDown(KeyCode.S))
+            {
+                var ps = new List<Vector3>();
+                var ys = new List<float>();
+                foreach (Transform item in transform)
+                {
+                    ps.Add(item.position);
+                    ys.Add(item.position.y);
+                }
+
+                var lps = LinearSmooth.SevenPointSmooth(ys.ToArray());
+                for (int i = 0; i < lps.Length; i++)
+                {
+                    var pos = new Vector3(ps[i].x, lps[i], ps[i].z);
+                    lines[0].SetPosition(i, pos);
+                }
+
+                var qps = QuadraticSmooth.SevenPointSmooth(ys.ToArray());
+                for (int i = 0; i < qps.Length; i++)
+                {
+                    var pos = new Vector3(ps[i].x, qps[i], ps[i].z);
+                    lines[1].SetPosition(i, pos);
+                }
+
+                var cps = CubicSmooth.SevenPointSmooth(ys.ToArray());
+                for (int i = 0; i < cps.Length; i++)
+                {
+                    var pos = new Vector3(ps[i].x, cps[i], ps[i].z);
+                    lines[2].SetPosition(i, pos);
+                }
+            }
+        }
+    }
+}