mirror of
https://gitee.com/akwkevin/aistudio.-wpf.-diagram
synced 2026-03-03 00:00:57 +08:00
619 lines
19 KiB
C#
619 lines
19 KiB
C#
using System;
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using System.Collections.Generic;
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using System.Text;
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namespace AIStudio.Wpf.DiagramDesigner.Geometrys
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{
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[Serializable]
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public struct VectorBase : IFormattable
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{
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#region Constructors
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/// <summary>
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/// Constructor which sets the vector's initial values
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/// </summary>
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/// <param name="x"> double - The initial X </param>
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/// <param name="y"> double - THe initial Y </param>
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public VectorBase(double x, double y)
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{
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_x = x;
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_y = y;
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}
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#endregion Constructors
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#region Public Methods
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/// <summary>
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/// Length Property - the length of this Vector
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/// </summary>
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public double Length
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{
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get
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{
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return Math.Sqrt(_x * _x + _y * _y);
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}
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}
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/// <summary>
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/// LengthSquared Property - the squared length of this Vector
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/// </summary>
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public double LengthSquared
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{
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get
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{
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return _x * _x + _y * _y;
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}
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}
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/// <summary>
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/// Normalize - Updates this Vector to maintain its direction, but to have a length
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/// of 1. This is equivalent to dividing this Vector by Length
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/// </summary>
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public void Normalize()
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{
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// Avoid overflow
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this /= Math.Max(Math.Abs(_x), Math.Abs(_y));
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this /= Length;
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}
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/// <summary>
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/// CrossProduct - Returns the cross product: vector1.X*vector2.Y - vector1.Y*vector2.X
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/// </summary>
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/// <returns>
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/// Returns the cross product: vector1.X*vector2.Y - vector1.Y*vector2.X
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/// </returns>
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/// <param name="vector1"> The first Vector </param>
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/// <param name="vector2"> The second Vector </param>
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public static double CrossProduct(VectorBase vector1, VectorBase vector2)
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{
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return vector1._x * vector2._y - vector1._y * vector2._x;
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}
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/// <summary>
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/// AngleBetween - the angle between 2 vectors
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/// </summary>
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/// <returns>
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/// Returns the the angle in degrees between vector1 and vector2
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/// </returns>
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/// <param name="vector1"> The first Vector </param>
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/// <param name="vector2"> The second Vector </param>
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public static double AngleBetween(VectorBase vector1, VectorBase vector2)
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{
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double sin = vector1._x * vector2._y - vector2._x * vector1._y;
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double cos = vector1._x * vector2._x + vector1._y * vector2._y;
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return Math.Atan2(sin, cos) * (180 / Math.PI);
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}
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#endregion Public Methods
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#region Public Operators
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/// <summary>
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/// Operator -Vector (unary negation)
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/// </summary>
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public static VectorBase operator -(VectorBase vector)
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{
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return new VectorBase(-vector._x, -vector._y);
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}
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/// <summary>
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/// Negates the values of X and Y on this Vector
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/// </summary>
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public void Negate()
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{
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_x = -_x;
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_y = -_y;
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}
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/// <summary>
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/// Operator Vector + Vector
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/// </summary>
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public static VectorBase operator +(VectorBase vector1, VectorBase vector2)
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{
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return new VectorBase(vector1._x + vector2._x,
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vector1._y + vector2._y);
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}
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/// <summary>
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/// Add: Vector + Vector
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/// </summary>
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public static VectorBase Add(VectorBase vector1, VectorBase vector2)
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{
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return new VectorBase(vector1._x + vector2._x,
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vector1._y + vector2._y);
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}
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/// <summary>
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/// Operator Vector - Vector
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/// </summary>
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public static VectorBase operator -(VectorBase vector1, VectorBase vector2)
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{
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return new VectorBase(vector1._x - vector2._x,
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vector1._y - vector2._y);
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}
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/// <summary>
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/// Subtract: Vector - Vector
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/// </summary>
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public static VectorBase Subtract(VectorBase vector1, VectorBase vector2)
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{
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return new VectorBase(vector1._x - vector2._x,
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vector1._y - vector2._y);
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}
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/// <summary>
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/// Operator Vector + PointBase
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/// </summary>
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public static PointBase operator +(VectorBase vector, PointBase point)
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{
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return new PointBase(point._x + vector._x, point._y + vector._y);
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}
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/// <summary>
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/// Add: Vector + PointBase
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/// </summary>
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public static PointBase Add(VectorBase vector, PointBase point)
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{
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return new PointBase(point._x + vector._x, point._y + vector._y);
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}
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/// <summary>
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/// Operator Vector * double
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/// </summary>
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public static VectorBase operator *(VectorBase vector, double scalar)
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{
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return new VectorBase(vector._x * scalar,
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vector._y * scalar);
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}
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/// <summary>
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/// Multiply: Vector * double
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/// </summary>
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public static VectorBase Multiply(VectorBase vector, double scalar)
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{
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return new VectorBase(vector._x * scalar,
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vector._y * scalar);
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}
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/// <summary>
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/// Operator double * Vector
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/// </summary>
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public static VectorBase operator *(double scalar, VectorBase vector)
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{
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return new VectorBase(vector._x * scalar,
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vector._y * scalar);
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}
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/// <summary>
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/// Multiply: double * Vector
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/// </summary>
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public static VectorBase Multiply(double scalar, VectorBase vector)
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{
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return new VectorBase(vector._x * scalar,
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vector._y * scalar);
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}
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/// <summary>
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/// Operator Vector / double
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/// </summary>
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public static VectorBase operator /(VectorBase vector, double scalar)
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{
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return vector * (1.0 / scalar);
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}
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/// <summary>
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/// Multiply: Vector / double
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/// </summary>
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public static VectorBase Divide(VectorBase vector, double scalar)
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{
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return vector * (1.0 / scalar);
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}
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/// <summary>
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/// Operator Vector * Matrix
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/// </summary>
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//public static Vector operator *(Vector vector, Matrix matrix)
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//{
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// return matrix.Transform(vector);
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//}
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/// <summary>
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/// Multiply: Vector * Matrix
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/// </summary>
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//public static Vector Multiply(Vector vector, Matrix matrix)
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//{
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// return matrix.Transform(vector);
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//}
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/// <summary>
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/// Operator Vector * Vector, interpreted as their dot product
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/// </summary>
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public static double operator *(VectorBase vector1, VectorBase vector2)
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{
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return vector1._x * vector2._x + vector1._y * vector2._y;
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}
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/// <summary>
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/// Multiply - Returns the dot product: vector1.X*vector2.X + vector1.Y*vector2.Y
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/// </summary>
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/// <returns>
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/// Returns the dot product: vector1.X*vector2.X + vector1.Y*vector2.Y
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/// </returns>
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/// <param name="vector1"> The first Vector </param>
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/// <param name="vector2"> The second Vector </param>
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public static double Multiply(VectorBase vector1, VectorBase vector2)
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{
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return vector1._x * vector2._x + vector1._y * vector2._y;
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}
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/// <summary>
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/// Determinant - Returns the determinant det(vector1, vector2)
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/// </summary>
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/// <returns>
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/// Returns the determinant: vector1.X*vector2.Y - vector1.Y*vector2.X
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/// </returns>
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/// <param name="vector1"> The first Vector </param>
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/// <param name="vector2"> The second Vector </param>
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public static double Determinant(VectorBase vector1, VectorBase vector2)
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{
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return vector1._x * vector2._y - vector1._y * vector2._x;
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}
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/// <summary>
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/// Explicit conversion to Size. Note that since Size cannot contain negative values,
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/// the resulting size will contains the absolute values of X and Y
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/// </summary>
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/// <returns>
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/// Size - A Size equal to this Vector
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/// </returns>
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/// <param name="vector"> Vector - the Vector to convert to a Size </param>
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public static explicit operator SizeBase(VectorBase vector)
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{
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return new SizeBase(Math.Abs(vector._x), Math.Abs(vector._y));
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}
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/// <summary>
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/// Explicit conversion to PointBase
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/// </summary>
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/// <returns>
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/// PointBase - A PointBase equal to this Vector
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/// </returns>
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/// <param name="vector"> Vector - the Vector to convert to a PointBase </param>
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public static explicit operator PointBase(VectorBase vector)
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{
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return new PointBase(vector._x, vector._y);
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}
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#endregion Public Operators
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//------------------------------------------------------
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//
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// Public Methods
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//
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//------------------------------------------------------
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#region Public Methods
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/// <summary>
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/// Compares two Vector instances for exact equality.
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/// Note that double values can acquire error when operated upon, such that
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/// an exact comparison between two values which are logically equal may fail.
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/// Furthermore, using this equality operator, Double.NaN is not equal to itself.
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/// </summary>
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/// <returns>
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/// bool - true if the two Vector instances are exactly equal, false otherwise
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/// </returns>
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/// <param name='vector1'>The first Vector to compare</param>
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/// <param name='vector2'>The second Vector to compare</param>
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public static bool operator ==(VectorBase vector1, VectorBase vector2)
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{
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return vector1.X == vector2.X &&
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vector1.Y == vector2.Y;
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}
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/// <summary>
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/// Compares two Vector instances for exact inequality.
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/// Note that double values can acquire error when operated upon, such that
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/// an exact comparison between two values which are logically equal may fail.
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/// Furthermore, using this equality operator, Double.NaN is not equal to itself.
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/// </summary>
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/// <returns>
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/// bool - true if the two Vector instances are exactly unequal, false otherwise
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/// </returns>
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/// <param name='vector1'>The first Vector to compare</param>
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/// <param name='vector2'>The second Vector to compare</param>
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public static bool operator !=(VectorBase vector1, VectorBase vector2)
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{
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return !(vector1 == vector2);
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}
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/// <summary>
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/// Compares two Vector instances for object equality. In this equality
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/// Double.NaN is equal to itself, unlike in numeric equality.
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/// Note that double values can acquire error when operated upon, such that
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/// an exact comparison between two values which
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/// are logically equal may fail.
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/// </summary>
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/// <returns>
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/// bool - true if the two Vector instances are exactly equal, false otherwise
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/// </returns>
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/// <param name='vector1'>The first Vector to compare</param>
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/// <param name='vector2'>The second Vector to compare</param>
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public static bool Equals(VectorBase vector1, VectorBase vector2)
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{
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return vector1.X.Equals(vector2.X) &&
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vector1.Y.Equals(vector2.Y);
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}
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/// <summary>
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/// Equals - compares this Vector with the passed in object. In this equality
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/// Double.NaN is equal to itself, unlike in numeric equality.
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/// Note that double values can acquire error when operated upon, such that
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/// an exact comparison between two values which
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/// are logically equal may fail.
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/// </summary>
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/// <returns>
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/// bool - true if the object is an instance of Vector and if it's equal to "this".
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/// </returns>
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/// <param name='o'>The object to compare to "this"</param>
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public override bool Equals(object o)
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{
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if ((null == o) || !(o is VectorBase))
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{
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return false;
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}
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VectorBase value = (VectorBase)o;
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return VectorBase.Equals(this, value);
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}
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/// <summary>
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/// Equals - compares this Vector with the passed in object. In this equality
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/// Double.NaN is equal to itself, unlike in numeric equality.
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/// Note that double values can acquire error when operated upon, such that
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/// an exact comparison between two values which
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/// are logically equal may fail.
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/// </summary>
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/// <returns>
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/// bool - true if "value" is equal to "this".
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/// </returns>
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/// <param name='value'>The Vector to compare to "this"</param>
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public bool Equals(VectorBase value)
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{
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return VectorBase.Equals(this, value);
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}
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/// <summary>
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/// Returns the HashCode for this Vector
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/// </summary>
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/// <returns>
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/// int - the HashCode for this Vector
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/// </returns>
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public override int GetHashCode()
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{
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// Perform field-by-field XOR of HashCodes
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return X.GetHashCode() ^
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Y.GetHashCode();
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}
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/// <summary>
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/// Parse - returns an instance converted from the provided string using
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/// the culture "en-US"
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/// <param name="source"> string with Vector data </param>
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/// </summary>
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//public static Vector Parse(string source)
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//{
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// IFormatProvider formatProvider = System.Windows.Markup.TypeConverterHelper.InvariantEnglishUS;
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// TokenizerHelper th = new TokenizerHelper(source, formatProvider);
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// Vector value;
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// String firstToken = th.NextTokenRequired();
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// value = new Vector(
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// Convert.ToDouble(firstToken, formatProvider),
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// Convert.ToDouble(th.NextTokenRequired(), formatProvider));
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// // There should be no more tokens in this string.
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// th.LastTokenRequired();
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// return value;
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//}
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#endregion Public Methods
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//------------------------------------------------------
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//
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// Public Properties
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//
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//------------------------------------------------------
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#region Public Properties
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/// <summary>
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/// X - double. Default value is 0.
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/// </summary>
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public double X
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{
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get
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{
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return _x;
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}
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set
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{
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_x = value;
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}
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}
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/// <summary>
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/// Y - double. Default value is 0.
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/// </summary>
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public double Y
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{
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get
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{
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return _y;
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}
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set
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{
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_y = value;
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}
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}
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#endregion Public Properties
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//------------------------------------------------------
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//
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// Protected Methods
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//
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//------------------------------------------------------
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#region Protected Methods
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#endregion ProtectedMethods
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//------------------------------------------------------
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//
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// Internal Methods
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//
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//------------------------------------------------------
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#region Internal Methods
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#endregion Internal Methods
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//------------------------------------------------------
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//
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// Internal Properties
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//
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//------------------------------------------------------
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#region Internal Properties
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/// <summary>
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/// Creates a string representation of this object based on the current culture.
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/// </summary>
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/// <returns>
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/// A string representation of this object.
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/// </returns>
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public override string ToString()
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{
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// Delegate to the internal method which implements all ToString calls.
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return ConvertToString(null /* format string */, null /* format provider */);
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}
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/// <summary>
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/// Creates a string representation of this object based on the IFormatProvider
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/// passed in. If the provider is null, the CurrentCulture is used.
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/// </summary>
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/// <returns>
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/// A string representation of this object.
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/// </returns>
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public string ToString(IFormatProvider provider)
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{
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// Delegate to the internal method which implements all ToString calls.
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return ConvertToString(null /* format string */, provider);
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}
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/// <summary>
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/// Creates a string representation of this object based on the format string
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/// and IFormatProvider passed in.
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/// If the provider is null, the CurrentCulture is used.
|
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/// See the documentation for IFormattable for more information.
|
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/// </summary>
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/// <returns>
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/// A string representation of this object.
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/// </returns>
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string IFormattable.ToString(string format, IFormatProvider provider)
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{
|
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// Delegate to the internal method which implements all ToString calls.
|
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return ConvertToString(format, provider);
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}
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/// <summary>
|
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/// Creates a string representation of this object based on the format string
|
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/// and IFormatProvider passed in.
|
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/// If the provider is null, the CurrentCulture is used.
|
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/// See the documentation for IFormattable for more information.
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/// </summary>
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/// <returns>
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/// A string representation of this object.
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/// </returns>
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internal string ConvertToString(string format, IFormatProvider provider)
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{
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// Helper to get the numeric list separator for a given culture.
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char separator = ',';
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return String.Format(provider,
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"{1:" + format + "}{0}{2:" + format + "}",
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separator,
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_x,
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_y);
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}
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#endregion Internal Properties
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//------------------------------------------------------
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//
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// Dependency Properties
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//
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//------------------------------------------------------
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#region Dependency Properties
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#endregion Dependency Properties
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//------------------------------------------------------
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//
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// Internal Fields
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//
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//------------------------------------------------------
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#region Internal Fields
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internal double _x;
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internal double _y;
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#endregion Internal Fields
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#region Constructors
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//------------------------------------------------------
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//
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// Constructors
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//
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//------------------------------------------------------
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#endregion Constructors
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}
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}
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