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使用PointBase代替Point

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艾竹
2023-01-08 09:22:37 +08:00
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AIStudio.Wpf.DiagramDesigner/Geometry/VectorBase.cs Normal file
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using System;
using System.Collections.Generic;
using System.Text;
namespace AIStudio.Wpf.DiagramDesigner.Geometry
{
[Serializable]
public struct VectorBase : IFormattable
{
#region Constructors
/// <summary>
/// Constructor which sets the vector's initial values
/// </summary>
/// <param name="x"> double - The initial X </param>
/// <param name="y"> double - THe initial Y </param>
public VectorBase(double x, double y)
{
_x = x;
_y = y;
}
#endregion Constructors
#region Public Methods
/// <summary>
/// Length Property - the length of this Vector
/// </summary>
public double Length
{
get
{
return Math.Sqrt(_x * _x + _y * _y);
}
}
/// <summary>
/// LengthSquared Property - the squared length of this Vector
/// </summary>
public double LengthSquared
{
get
{
return _x * _x + _y * _y;
}
}
/// <summary>
/// Normalize - Updates this Vector to maintain its direction, but to have a length
/// of 1. This is equivalent to dividing this Vector by Length
/// </summary>
public void Normalize()
{
// Avoid overflow
this /= Math.Max(Math.Abs(_x), Math.Abs(_y));
this /= Length;
}
/// <summary>
/// CrossProduct - Returns the cross product: vector1.X*vector2.Y - vector1.Y*vector2.X
/// </summary>
/// <returns>
/// Returns the cross product: vector1.X*vector2.Y - vector1.Y*vector2.X
/// </returns>
/// <param name="vector1"> The first Vector </param>
/// <param name="vector2"> The second Vector </param>
public static double CrossProduct(VectorBase vector1, VectorBase vector2)
{
return vector1._x * vector2._y - vector1._y * vector2._x;
}
/// <summary>
/// AngleBetween - the angle between 2 vectors
/// </summary>
/// <returns>
/// Returns the the angle in degrees between vector1 and vector2
/// </returns>
/// <param name="vector1"> The first Vector </param>
/// <param name="vector2"> The second Vector </param>
public static double AngleBetween(VectorBase vector1, VectorBase vector2)
{
double sin = vector1._x * vector2._y - vector2._x * vector1._y;
double cos = vector1._x * vector2._x + vector1._y * vector2._y;
return Math.Atan2(sin, cos) * (180 / Math.PI);
}
#endregion Public Methods
#region Public Operators
/// <summary>
/// Operator -Vector (unary negation)
/// </summary>
public static VectorBase operator -(VectorBase vector)
{
return new VectorBase(-vector._x, -vector._y);
}
/// <summary>
/// Negates the values of X and Y on this Vector
/// </summary>
public void Negate()
{
_x = -_x;
_y = -_y;
}
/// <summary>
/// Operator Vector + Vector
/// </summary>
public static VectorBase operator +(VectorBase vector1, VectorBase vector2)
{
return new VectorBase(vector1._x + vector2._x,
vector1._y + vector2._y);
}
/// <summary>
/// Add: Vector + Vector
/// </summary>
public static VectorBase Add(VectorBase vector1, VectorBase vector2)
{
return new VectorBase(vector1._x + vector2._x,
vector1._y + vector2._y);
}
/// <summary>
/// Operator Vector - Vector
/// </summary>
public static VectorBase operator -(VectorBase vector1, VectorBase vector2)
{
return new VectorBase(vector1._x - vector2._x,
vector1._y - vector2._y);
}
/// <summary>
/// Subtract: Vector - Vector
/// </summary>
public static VectorBase Subtract(VectorBase vector1, VectorBase vector2)
{
return new VectorBase(vector1._x - vector2._x,
vector1._y - vector2._y);
}
/// <summary>
/// Operator Vector + PointBase
/// </summary>
public static PointBase operator +(VectorBase vector, PointBase point)
{
return new PointBase(point._x + vector._x, point._y + vector._y);
}
/// <summary>
/// Add: Vector + PointBase
/// </summary>
public static PointBase Add(VectorBase vector, PointBase point)
{
return new PointBase(point._x + vector._x, point._y + vector._y);
}
/// <summary>
/// Operator Vector * double
/// </summary>
public static VectorBase operator *(VectorBase vector, double scalar)
{
return new VectorBase(vector._x * scalar,
vector._y * scalar);
}
/// <summary>
/// Multiply: Vector * double
/// </summary>
public static VectorBase Multiply(VectorBase vector, double scalar)
{
return new VectorBase(vector._x * scalar,
vector._y * scalar);
}
/// <summary>
/// Operator double * Vector
/// </summary>
public static VectorBase operator *(double scalar, VectorBase vector)
{
return new VectorBase(vector._x * scalar,
vector._y * scalar);
}
/// <summary>
/// Multiply: double * Vector
/// </summary>
public static VectorBase Multiply(double scalar, VectorBase vector)
{
return new VectorBase(vector._x * scalar,
vector._y * scalar);
}
/// <summary>
/// Operator Vector / double
/// </summary>
public static VectorBase operator /(VectorBase vector, double scalar)
{
return vector * (1.0 / scalar);
}
/// <summary>
/// Multiply: Vector / double
/// </summary>
public static VectorBase Divide(VectorBase vector, double scalar)
{
return vector * (1.0 / scalar);
}
/// <summary>
/// Operator Vector * Matrix
/// </summary>
//public static Vector operator *(Vector vector, Matrix matrix)
//{
// return matrix.Transform(vector);
//}
/// <summary>
/// Multiply: Vector * Matrix
/// </summary>
//public static Vector Multiply(Vector vector, Matrix matrix)
//{
// return matrix.Transform(vector);
//}
/// <summary>
/// Operator Vector * Vector, interpreted as their dot product
/// </summary>
public static double operator *(VectorBase vector1, VectorBase vector2)
{
return vector1._x * vector2._x + vector1._y * vector2._y;
}
/// <summary>
/// Multiply - Returns the dot product: vector1.X*vector2.X + vector1.Y*vector2.Y
/// </summary>
/// <returns>
/// Returns the dot product: vector1.X*vector2.X + vector1.Y*vector2.Y
/// </returns>
/// <param name="vector1"> The first Vector </param>
/// <param name="vector2"> The second Vector </param>
public static double Multiply(VectorBase vector1, VectorBase vector2)
{
return vector1._x * vector2._x + vector1._y * vector2._y;
}
/// <summary>
/// Determinant - Returns the determinant det(vector1, vector2)
/// </summary>
/// <returns>
/// Returns the determinant: vector1.X*vector2.Y - vector1.Y*vector2.X
/// </returns>
/// <param name="vector1"> The first Vector </param>
/// <param name="vector2"> The second Vector </param>
public static double Determinant(VectorBase vector1, VectorBase vector2)
{
return vector1._x * vector2._y - vector1._y * vector2._x;
}
/// <summary>
/// Explicit conversion to Size. Note that since Size cannot contain negative values,
/// the resulting size will contains the absolute values of X and Y
/// </summary>
/// <returns>
/// Size - A Size equal to this Vector
/// </returns>
/// <param name="vector"> Vector - the Vector to convert to a Size </param>
public static explicit operator SizeBase(VectorBase vector)
{
return new SizeBase(Math.Abs(vector._x), Math.Abs(vector._y));
}
/// <summary>
/// Explicit conversion to PointBase
/// </summary>
/// <returns>
/// PointBase - A PointBase equal to this Vector
/// </returns>
/// <param name="vector"> Vector - the Vector to convert to a PointBase </param>
public static explicit operator PointBase(VectorBase vector)
{
return new PointBase(vector._x, vector._y);
}
#endregion Public Operators
//------------------------------------------------------
//
// Public Methods
//
//------------------------------------------------------
#region Public Methods
/// <summary>
/// Compares two Vector instances for exact equality.
/// Note that double values can acquire error when operated upon, such that
/// an exact comparison between two values which are logically equal may fail.
/// Furthermore, using this equality operator, Double.NaN is not equal to itself.
/// </summary>
/// <returns>
/// bool - true if the two Vector instances are exactly equal, false otherwise
/// </returns>
/// <param name='vector1'>The first Vector to compare</param>
/// <param name='vector2'>The second Vector to compare</param>
public static bool operator ==(VectorBase vector1, VectorBase vector2)
{
return vector1.X == vector2.X &&
vector1.Y == vector2.Y;
}
/// <summary>
/// Compares two Vector instances for exact inequality.
/// Note that double values can acquire error when operated upon, such that
/// an exact comparison between two values which are logically equal may fail.
/// Furthermore, using this equality operator, Double.NaN is not equal to itself.
/// </summary>
/// <returns>
/// bool - true if the two Vector instances are exactly unequal, false otherwise
/// </returns>
/// <param name='vector1'>The first Vector to compare</param>
/// <param name='vector2'>The second Vector to compare</param>
public static bool operator !=(VectorBase vector1, VectorBase vector2)
{
return !(vector1 == vector2);
}
/// <summary>
/// Compares two Vector instances for object equality. In this equality
/// Double.NaN is equal to itself, unlike in numeric equality.
/// Note that double values can acquire error when operated upon, such that
/// an exact comparison between two values which
/// are logically equal may fail.
/// </summary>
/// <returns>
/// bool - true if the two Vector instances are exactly equal, false otherwise
/// </returns>
/// <param name='vector1'>The first Vector to compare</param>
/// <param name='vector2'>The second Vector to compare</param>
public static bool Equals(VectorBase vector1, VectorBase vector2)
{
return vector1.X.Equals(vector2.X) &&
vector1.Y.Equals(vector2.Y);
}
/// <summary>
/// Equals - compares this Vector with the passed in object. In this equality
/// Double.NaN is equal to itself, unlike in numeric equality.
/// Note that double values can acquire error when operated upon, such that
/// an exact comparison between two values which
/// are logically equal may fail.
/// </summary>
/// <returns>
/// bool - true if the object is an instance of Vector and if it's equal to "this".
/// </returns>
/// <param name='o'>The object to compare to "this"</param>
public override bool Equals(object o)
{
if ((null == o) || !(o is VectorBase))
{
return false;
}
VectorBase value = (VectorBase)o;
return VectorBase.Equals(this, value);
}
/// <summary>
/// Equals - compares this Vector with the passed in object. In this equality
/// Double.NaN is equal to itself, unlike in numeric equality.
/// Note that double values can acquire error when operated upon, such that
/// an exact comparison between two values which
/// are logically equal may fail.
/// </summary>
/// <returns>
/// bool - true if "value" is equal to "this".
/// </returns>
/// <param name='value'>The Vector to compare to "this"</param>
public bool Equals(VectorBase value)
{
return VectorBase.Equals(this, value);
}
/// <summary>
/// Returns the HashCode for this Vector
/// </summary>
/// <returns>
/// int - the HashCode for this Vector
/// </returns>
public override int GetHashCode()
{
// Perform field-by-field XOR of HashCodes
return X.GetHashCode() ^
Y.GetHashCode();
}
/// <summary>
/// Parse - returns an instance converted from the provided string using
/// the culture "en-US"
/// <param name="source"> string with Vector data </param>
/// </summary>
//public static Vector Parse(string source)
//{
// IFormatProvider formatProvider = System.Windows.Markup.TypeConverterHelper.InvariantEnglishUS;
// TokenizerHelper th = new TokenizerHelper(source, formatProvider);
// Vector value;
// String firstToken = th.NextTokenRequired();
// value = new Vector(
// Convert.ToDouble(firstToken, formatProvider),
// Convert.ToDouble(th.NextTokenRequired(), formatProvider));
// // There should be no more tokens in this string.
// th.LastTokenRequired();
// return value;
//}
#endregion Public Methods
//------------------------------------------------------
//
// Public Properties
//
//------------------------------------------------------
#region Public Properties
/// <summary>
/// X - double. Default value is 0.
/// </summary>
public double X
{
get
{
return _x;
}
set
{
_x = value;
}
}
/// <summary>
/// Y - double. Default value is 0.
/// </summary>
public double Y
{
get
{
return _y;
}
set
{
_y = value;
}
}
#endregion Public Properties
//------------------------------------------------------
//
// Protected Methods
//
//------------------------------------------------------
#region Protected Methods
#endregion ProtectedMethods
//------------------------------------------------------
//
// Internal Methods
//
//------------------------------------------------------
#region Internal Methods
#endregion Internal Methods
//------------------------------------------------------
//
// Internal Properties
//
//------------------------------------------------------
#region Internal Properties
/// <summary>
/// Creates a string representation of this object based on the current culture.
/// </summary>
/// <returns>
/// A string representation of this object.
/// </returns>
public override string ToString()
{
// Delegate to the internal method which implements all ToString calls.
return ConvertToString(null /* format string */, null /* format provider */);
}
/// <summary>
/// Creates a string representation of this object based on the IFormatProvider
/// passed in. If the provider is null, the CurrentCulture is used.
/// </summary>
/// <returns>
/// A string representation of this object.
/// </returns>
public string ToString(IFormatProvider provider)
{
// Delegate to the internal method which implements all ToString calls.
return ConvertToString(null /* format string */, provider);
}
/// <summary>
/// Creates a string representation of this object based on the format string
/// and IFormatProvider passed in.
/// If the provider is null, the CurrentCulture is used.
/// See the documentation for IFormattable for more information.
/// </summary>
/// <returns>
/// A string representation of this object.
/// </returns>
string IFormattable.ToString(string format, IFormatProvider provider)
{
// Delegate to the internal method which implements all ToString calls.
return ConvertToString(format, provider);
}
/// <summary>
/// Creates a string representation of this object based on the format string
/// and IFormatProvider passed in.
/// If the provider is null, the CurrentCulture is used.
/// See the documentation for IFormattable for more information.
/// </summary>
/// <returns>
/// A string representation of this object.
/// </returns>
internal string ConvertToString(string format, IFormatProvider provider)
{
// Helper to get the numeric list separator for a given culture.
char separator = ',';
return String.Format(provider,
"{1:" + format + "}{0}{2:" + format + "}",
separator,
_x,
_y);
}
#endregion Internal Properties
//------------------------------------------------------
//
// Dependency Properties
//
//------------------------------------------------------
#region Dependency Properties
#endregion Dependency Properties
//------------------------------------------------------
//
// Internal Fields
//
//------------------------------------------------------
#region Internal Fields
internal double _x;
internal double _y;
#endregion Internal Fields
#region Constructors
//------------------------------------------------------
//
// Constructors
//
//------------------------------------------------------
#endregion Constructors
}
}