[update] 進一步完善Vector.cs
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@ -1,8 +1,4 @@
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using System;
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using System.Collections.Generic;
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using System.Linq;
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using System.Text;
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using System.Threading.Tasks;
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namespace InkCanvasForClassX.Libraries
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{
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@ -14,7 +10,7 @@ namespace InkCanvasForClassX.Libraries
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private double _x = 0;
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private double _y = 0;
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public Vector(double x, double y) {
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public Vector(double x = 0, double y = 0) {
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_x = x;
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_y = y;
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}
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@ -32,9 +28,10 @@ namespace InkCanvasForClassX.Libraries
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/// <summary>
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/// 將該向量改變為其相反向量
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/// </summary>
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public void Negate() {
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public Vector Negate() {
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_x = -_x;
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_y = -_y;
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return this;
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}
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/// <summary>
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@ -69,10 +66,11 @@ namespace InkCanvasForClassX.Libraries
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/// <summary>
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/// 將該向量和另一個向量相加
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/// </summary>
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public void Add(Vector vec)
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public Vector Add(Vector vec)
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{
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_x = _x + vec.X;
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_y = _y + vec.Y;
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return this;
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}
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/// <summary>
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@ -86,10 +84,11 @@ namespace InkCanvasForClassX.Libraries
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/// <summary>
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/// 將該向量減去另一個向量
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/// </summary>
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public void Subtract(Vector vec)
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public Vector Subtract(Vector vec)
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{
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_x = _x - vec.X;
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_y = _y - vec.Y;
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return this;
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}
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/// <summary>
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@ -103,10 +102,11 @@ namespace InkCanvasForClassX.Libraries
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/// <summary>
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/// 將該向量除以一個數值
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/// </summary>
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public void DivideBy(double n)
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public Vector DivideBy(double n)
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{
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_x = _x / n;
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_y = _y / n;
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return this;
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}
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/// <summary>
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@ -120,10 +120,11 @@ namespace InkCanvasForClassX.Libraries
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/// <summary>
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/// 將該向量乘以一個數值
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/// </summary>
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public void Multiply(double n)
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public Vector Multiply(double n)
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{
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_x = _x * n;
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_y = _y * n;
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return this;
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}
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/// <summary>
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@ -133,5 +134,154 @@ namespace InkCanvasForClassX.Libraries
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{
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return new Vector(vec.X * n, vec.Y * n);
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}
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/// <summary>
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/// 將該向量垂直旋轉
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/// </summary>
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public Vector PerpendicularRotation() {
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var _t = _x;
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_x = _y;
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_y = - _t;
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return this;
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}
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/// <summary>
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/// 提供<c>Vector</c>，返回垂直旋轉後的<c>Vector</c>
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/// </summary>
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public static Vector PerpendicularRotationVector(Vector vec)
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{
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return new Vector(vec.Y, - vec.X);
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}
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/// <summary>
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/// 將該向量點乘另一個向量
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/// </summary>
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public Vector Dot(Vector vec)
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{
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_x = _x * vec.X;
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_y = _y * vec.Y;
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return this;
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}
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/// <summary>
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/// 提供兩個<c>Vector</c>，返回兩個<c>Vector</c>點乘後的<c>Vector</c>
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/// </summary>
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public static Vector DotVectors(Vector vec1, Vector vec2)
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{
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return new Vector(vec1.X * vec2.X, vec1.Y * vec2.Y);
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}
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/// <summary>
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/// 判斷該向量和另外一個向量是否相等
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/// </summary>
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public bool IsEqual(Vector vec)
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{
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return Math.Abs(_x - vec.X) < 0.01 && Math.Abs(_y - vec.Y) < 0.01;
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}
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/// <summary>
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/// 獲取該向量和另一個向量的平方距離
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/// </summary>
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public double DistLengthSquared(Vector vec) {
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var subVec = Vector.SubtractVectors(this, vec);
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return subVec.LengthSquared;
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}
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/// <summary>
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/// 獲取一個向量和另一個向量的平方距離
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/// </summary>
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public double DistLengthSquaredVectors(Vector vec1, Vector vec2)
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{
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var subVec = Vector.SubtractVectors(vec1, vec2);
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return subVec.LengthSquared;
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}
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/// <summary>
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/// 獲取該向量和另一個向量的距離
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/// </summary>
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public double DistLength(Vector vec) {
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return Vector.Hypot(this._y - vec.Y, this._x - vec.X);
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}
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/// <summary>
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/// 獲取一個向量和另一個向量的距離
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/// </summary>
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public double DistLengthVectors(Vector vec1, Vector vec2)
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{
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return Vector.Hypot(vec1.Y - vec2.Y, vec1.X - vec2.X);
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}
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/// <summary>
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/// 將該向量修改為其中間向量
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/// </summary>
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public Vector Med(Vector vec) {
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var addVec = new Vector(_x, _y).Add(vec);
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addVec.Multiply(0.5);
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_x = addVec.X;
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_y = addVec.Y;
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return this;
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}
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/// <summary>
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/// 獲取一個向量和另一個向量的中間向量
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/// </summary>
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public static Vector MedVectors(Vector vec1, Vector vec2) {
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var addVec = Vector.AddVectors(vec1, vec2);
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return addVec.Multiply(0.5);
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}
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/// <summary>
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/// 將該向量圍繞另一個向量旋轉r弧度
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/// </summary>
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public Vector Rotate(Vector vec, double r) {
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var sin = Math.Sin(r);
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var cos = Math.Cos(r);
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var px = _x - vec.X;
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var py = _y - vec.Y;
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var nx = px * cos - py * sin;
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var ny = px * sin + py * cos;
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_x = nx + vec.X;
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_y = ny + vec.Y;
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return this;
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}
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/// <summary>
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/// 將一個向量圍繞另一個向量旋轉r弧度
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/// </summary>
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public static Vector RotateVectors(Vector vec1, Vector vec2, double r)
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{
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var sin = Math.Sin(r);
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var cos = Math.Cos(r);
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var px = vec1.X - vec2.X;
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var py = vec1.Y - vec2.Y;
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var nx = px * cos - py * sin;
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var ny = px * sin + py * cos;
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return new Vector(nx + vec2.X, ny + vec2.Y);
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}
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/// <summary>
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/// 將該向量與另一個向量插值，TODO
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/// </summary>
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public Vector Interpolate(Vector vec) {
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throw new NotImplementedException();
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return this;
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}
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/// <summary>
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/// 將一個向量與另一個向量插值，TODO
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/// </summary>
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public static Vector InterpolateVectors(Vector vec1, Vector vec2)
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{
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throw new NotImplementedException();
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return new Vector();
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}
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// TODO: pjr();
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}
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}
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