Update common code.

Author: Mogoson

Assets/MGS-CommonCode.meta

@@ -0,0 +1,348 @@
+/*************************************************************************
+ *  Copyright © 2017-2018 Mogoson. All rights reserved.
+ *------------------------------------------------------------------------
+ *  File         :  BezierCurve.cs
+ *  Description  :  Define bezier curve.
+ *------------------------------------------------------------------------
+ *  Author       :  Mogoson
+ *  Version      :  0.1.0
+ *  Date         :  1/7/2017
+ *  Description  :  Initial development version.
+ *  
+ *  Author       :  Mogoson
+ *  Version      :  0.1.1
+ *  Date         :  2/28/2018
+ *  Description  :  Add static method GetPoint.
+ *************************************************************************/
+
+using System;
+using UnityEngine;
+
+namespace Mogoson.Curve
+{
+    /// <summary>
+    /// Anchor points of linear bezier curve.
+    /// </summary>
+    [Serializable]
+    public struct LinearBezierAnchor
+    {
+        #region Field and Property
+        /// <summary>
+        /// Start point of curve.
+        /// </summary>
+        public Vector3 start;
+
+        /// <summary>
+        /// End point of curve.
+        /// </summary>
+        public Vector3 end;
+        #endregion
+
+        #region Public Method
+        /// <summary>
+        /// Constructor.
+        /// </summary>
+        /// <param name="start">Start point of curve.</param>
+        /// <param name="end">End point of curve.</param>
+        public LinearBezierAnchor(Vector3 start, Vector3 end)
+        {
+            this.start = start;
+            this.end = end;
+        }
+        #endregion
+    }
+
+    /// <summary>
+    /// Anchor points of quadratic bezier curve.
+    /// </summary>
+    [Serializable]
+    public struct QuadraticBezierAnchor
+    {
+        #region Field and Property
+        /// <summary>
+        /// Start point of curve.
+        /// </summary>
+        public Vector3 start;
+
+        /// <summary>
+        /// End point of curve.
+        /// </summary>
+        public Vector3 end;
+
+        /// <summary>
+        /// Tangent point of curve.
+        /// </summary>
+        public Vector3 tangent;
+        #endregion
+
+        #region Public Method
+        /// <summary>
+        /// Constructor.
+        /// </summary>
+        /// <param name="start">Start point of curve.</param>
+        /// <param name="end">End point of curve.</param>
+        /// <param name="tangent">Tangent point of curve.</param>
+        public QuadraticBezierAnchor(Vector3 start, Vector3 end, Vector3 tangent)
+        {
+            this.start = start;
+            this.end = end;
+            this.tangent = tangent;
+        }
+        #endregion
+    }
+
+    /// <summary>
+    /// Anchor points of cubic bezier curve.
+    /// </summary>
+    [Serializable]
+    public struct CubicBezierAnchor
+    {
+        #region Field and Property
+        /// <summary>
+        /// Start point of curve.
+        /// </summary>
+        public Vector3 start;
+
+        /// <summary>
+        /// End point of curve.
+        /// </summary>
+        public Vector3 end;
+
+        /// <summary>
+        /// Start tangent point of curve.
+        /// </summary>
+        public Vector3 startTangent;
+
+        /// <summary>
+        /// End tangent point of curve.
+        /// </summary>
+        public Vector3 endTangent;
+        #endregion
+
+        #region Public Method
+        /// <summary>
+        /// Constructor.
+        /// </summary>
+        /// <param name="start">Start point of curve.</param>
+        /// <param name="end">End point of curve.</param>
+        /// <param name="startTangent">Start tangent point of curve.</param>
+        /// <param name="endTangent">End tangent point of curve.</param>
+        public CubicBezierAnchor(Vector3 start, Vector3 end, Vector3 startTangent, Vector3 endTangent)
+        {
+            this.start = start;
+            this.end = end;
+            this.startTangent = startTangent;
+            this.endTangent = endTangent;
+        }
+        #endregion
+    }
+
+    /// <summary>
+    /// Bezier curve.
+    /// </summary>
+    public abstract class BezierCurve : ICurve
+    {
+        #region Field and Property
+        /// <summary>
+        /// Delta to lerp key.
+        /// </summary>
+        protected const float Delta = 0.05f;
+
+        /// <summary>
+        /// Length of curve.
+        /// </summary>
+        public float Length
+        {
+            get
+            {
+                var length = 0.0f;
+                for (float key = 0; key < MaxKey; key += Delta)
+                {
+                    length += Vector3.Distance(GetPointAt(key), GetPointAt(key + Delta));
+                }
+                return length;
+            }
+        }
+
+        /// <summary>
+        /// Max key of curve.
+        /// </summary>
+        public float MaxKey { get { return 1.0f; } }
+        #endregion
+
+        #region Public Method
+        /// <summary>
+        /// Get point on curve at key.
+        /// </summary>
+        /// <param name="key">Key is in the range(0~1).</param>
+        /// <returns>The point on curve at key.</returns>
+        public abstract Vector3 GetPointAt(float key);
+        #endregion
+    }
+
+    /// <summary>
+    /// Linear bezier curve.
+    /// </summary>
+    public class LinearBezierCurve : BezierCurve
+    {
+        #region Field and Property
+        /// <summary>
+        /// Anchor points of curve.
+        /// </summary>
+        public LinearBezierAnchor anchor;
+        #endregion
+
+        #region Public Method
+        /// <summary>
+        /// Constructor.
+        /// </summary>
+        public LinearBezierCurve()
+        {
+            anchor = new LinearBezierAnchor();
+        }
+
+        /// <summary>
+        /// Constructor.
+        /// </summary>
+        /// <param name="anchor">Anchor points of curve.</param>
+        public LinearBezierCurve(LinearBezierAnchor anchor)
+        {
+            this.anchor = anchor;
+        }
+
+        /// <summary>
+        /// Get point on curve at key.
+        /// </summary>
+        /// <param name="key">Key is in the range(0~1).</param>
+        /// <returns>The point on curve at key.</returns>
+        public override Vector3 GetPointAt(float key)
+        {
+            return GetPointAt(anchor, key);
+        }
+        #endregion
+
+        #region Static Method
+        /// <summary>
+        /// Get curve point base on anchor points and key.
+        /// </summary>
+        /// <param name="anchor">Anchor points of curve.</param>
+        /// <param name="key">Key is in the range(0~1).</param>
+        /// <returns>Point on curve.</returns>
+        public static Vector3 GetPointAt(LinearBezierAnchor anchor, float key)
+        {
+            return (1 - key) * anchor.start + key * anchor.end;
+        }
+        #endregion
+    }
+
+    /// <summary>
+    /// Quadratic bezier curve.
+    /// </summary>
+    public class QuadraticBezierCurve : BezierCurve
+    {
+        #region Field and Property
+        /// <summary>
+        /// Anchor points of curve.
+        /// </summary>
+        public QuadraticBezierAnchor anchor;
+        #endregion
+
+        #region Public Method
+        /// <summary>
+        /// Constructor.
+        /// </summary>
+        public QuadraticBezierCurve()
+        {
+            anchor = new QuadraticBezierAnchor();
+        }
+
+        /// <summary>
+        /// Constructor.
+        /// </summary>
+        /// <param name="anchor">Anchor points of curve.</param>
+        public QuadraticBezierCurve(QuadraticBezierAnchor anchor)
+        {
+            this.anchor = anchor;
+        }
+
+        /// <summary>
+        /// Get point on curve at key.
+        /// </summary>
+        /// <param name="key">Key is in the range(0~1).</param>
+        /// <returns>The point on curve at key.</returns>
+        public override Vector3 GetPointAt(float key)
+        {
+            return GetPointAt(anchor, key);
+        }
+        #endregion
+
+        #region Static Method
+        /// <summary>
+        /// Get curve point base on anchor points and key.
+        /// </summary>
+        /// <param name="anchor">Anchor points of curve.</param>
+        /// <param name="key">Key is in the range(0~1).</param>
+        /// <returns>Point on curve.</returns>
+        public static Vector3 GetPointAt(QuadraticBezierAnchor anchor, float t)
+        {
+            return Mathf.Pow(1 - t, 2) * anchor.start + 2 * t * (1 - t) * anchor.tangent + Mathf.Pow(t, 2) * anchor.end;
+        }
+        #endregion
+    }
+
+    /// <summary>
+    /// Cubic bezier curve.
+    /// </summary>
+    public class CubicBezierCurve : BezierCurve
+    {
+        #region Field and Property
+        /// <summary>
+        /// Anchor points of curve.
+        /// </summary>
+        public CubicBezierAnchor anchor;
+        #endregion
+
+        #region Public Method
+        /// <summary>
+        /// Constructor.
+        /// </summary>
+        public CubicBezierCurve()
+        {
+            anchor = new CubicBezierAnchor();
+        }
+
+        /// <summary>
+        /// Constructor.
+        /// </summary>
+        /// <param name="anchor">Anchor points of curve.</param>
+        public CubicBezierCurve(CubicBezierAnchor anchor)
+        {
+            this.anchor = anchor;
+        }
+
+        /// <summary>
+        /// Get point on curve at key.
+        /// </summary>
+        /// <param name="key">Key is in the range(0~1).</param>
+        /// <returns>The point on curve at key.</returns>
+        public override Vector3 GetPointAt(float key)
+        {
+            return GetPointAt(anchor, key);
+        }
+        #endregion
+
+        #region Static Method
+        /// <summary>
+        /// Get curve point base on anchor points and key.
+        /// </summary>
+        /// <param name="anchor">Anchor points of curve.</param>
+        /// <param name="key">Key is in the range(0~1).</param>
+        /// <returns>Point on curve.</returns>
+        public static Vector3 GetPointAt(CubicBezierAnchor anchor, float key)
+        {
+            return Mathf.Pow(1 - key, 3) * anchor.start + 3 * key * Mathf.Pow(1 - key, 2) * anchor.startTangent +
+                3 * (1 - key) * Mathf.Pow(key, 2) * anchor.endTangent + Mathf.Pow(key, 3) * anchor.end;
+        }
+        #endregion
+    }
+}

Assets/MGS-CommonCode/Curve.meta

@@ -102,8 +102,9 @@ public Vector3 GetPointAt(float radian)
         public static Vector3 GetPointAt(EllipseArgs topEllipse, EllipseArgs bottomEllipse, float maxRadian, float radian)
         {
             if (maxRadian == 0)
+            {
                 maxRadian = Mathf.Epsilon;
-
+            }
             return Vector3.Lerp(EllipseCurve.GetPointAt(bottomEllipse, radian), EllipseCurve.GetPointAt(topEllipse, radian), radian / maxRadian);
         }
         #endregion