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// Permission is hereby granted, free of charge, to any person obtaining
// a copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to
// permit persons to whom the Software is furnished to do so, subject to
// the following conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
// LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
// OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
// WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
//
// Copyright (c) 2007 Novell, Inc. (http://www.novell.com)
//
// Authors:
// Chris Toshok (toshok@novell.com)
//
using System.ComponentModel;
using System.Globalization;
using System.Windows.Converters;
using System.Windows.Markup;
using System.Windows.Media;
namespace System.Windows {
[Serializable]
[ValueSerializer (typeof (VectorValueSerializer))]
[TypeConverter (typeof (VectorConverter))]
public struct Vector : IFormattable
{
public Vector (double x, double y)
{
this._x = x;
this._y = y;
}
public bool Equals (Vector value)
{
return _x == value.X && _y == value.Y;
}
public override bool Equals (object o)
{
if (!(o is Vector))
return false;
return Equals ((Vector)o);
}
public override int GetHashCode ()
{
unchecked
{
return (_x.GetHashCode () * 397) ^ _y.GetHashCode ();
}
}
public static bool Equals (Vector vector1, Vector vector2)
{
return vector1.Equals (vector2);
}
public static Point Add (Vector vector, Point point)
{
return new Point (vector.X + point.X, vector.Y + point.Y);
}
public static Vector Add (Vector vector1, Vector vector2)
{
return new Vector (vector1.X + vector2.X,
vector1.Y + vector2.Y);
}
public static double AngleBetween (Vector vector1, Vector vector2)
{
double cos_theta = (vector1.X * vector2.X + vector1.Y * vector2.Y) / (vector1.Length * vector2.Length);
return Math.Acos (cos_theta) / Math.PI * 180;
}
public static double CrossProduct (Vector vector1, Vector vector2)
{
// ... what operation is this exactly?
return vector1.X * vector2.Y - vector1.Y * vector2.X;
}
public static double Determinant (Vector vector1, Vector vector2)
{
// same as CrossProduct, it appears.
return vector1.X * vector2.Y - vector1.Y * vector2.X;
}
public static Vector Divide (Vector vector, double scalar)
{
return new Vector (vector.X / scalar, vector.Y / scalar);
}
public static double Multiply (Vector vector1, Vector vector2)
{
return vector1.X * vector2.X + vector1.Y * vector2.Y;
}
public static Vector Multiply (Vector vector, Matrix matrix)
{
return new Vector (vector.X * matrix.M11 + vector.Y * matrix.M21,
vector.X * matrix.M12 + vector.Y * matrix.M22);
}
public static Vector Multiply (double scalar, Vector vector)
{
return new Vector (scalar * vector.X, scalar * vector.Y);
}
public static Vector Multiply (Vector vector, double scalar)
{
return new Vector (scalar * vector.X, scalar * vector.Y);
}
public void Negate ()
{
_x = -_x;
_y = -_y;
}
public void Normalize ()
{
double ls = LengthSquared;
if (ls == 1)
return;
double l = Math.Sqrt (ls);
_x /= l;
_y /= l;
}
public static Vector Subtract (Vector vector1, Vector vector2)
{
return new Vector (vector1.X - vector2.X, vector1.Y - vector2.Y);
}
public static Vector Parse (string source)
{
if (source == null)
throw new ArgumentNullException ("source");
var tokenizer = new NumericListTokenizer (source, CultureInfo.InvariantCulture);
double x;
double y;
if (!double.TryParse (tokenizer.GetNextToken (), NumberStyles.Float, CultureInfo.InvariantCulture, out x) ||
!double.TryParse (tokenizer.GetNextToken (), NumberStyles.Float, CultureInfo.InvariantCulture, out y))
{
throw new FormatException (string.Format ("Invalid Vector format: {0}", source));
}
if (!tokenizer.HasNoMoreTokens ())
{
throw new InvalidOperationException("Invalid Vector format: " + source);
}
return new Vector(x, y);
}
public override string ToString ()
{
return ToString(null);
}
public string ToString (IFormatProvider provider)
{
return ToString (null, provider);
}
string IFormattable.ToString (string format, IFormatProvider provider)
{
return ToString (format, provider);
}
private string ToString(string format,IFormatProvider formatProvider)
{
if (formatProvider == null)
formatProvider = CultureInfo.CurrentCulture;
if (format == null)
format = string.Empty;
var separator = NumericListTokenizer.GetSeparator (formatProvider);
var vectorFormat = string.Format ("{{0:{0}}}{1}{{1:{0}}}", format, separator);
return string.Format (formatProvider, vectorFormat, _x, _y);
}
public double Length {
get { return Math.Sqrt (LengthSquared); }
}
public double LengthSquared {
get { return _x * _x + _y * _y; }
}
public double X {
get { return _x; }
set { _x = value; }
}
public double Y {
get { return _y; }
set { _y = value; }
}
/* operators */
public static explicit operator Point (Vector vector)
{
return new Point (vector.X, vector.Y);
}
public static explicit operator Size (Vector vector)
{
return new Size (vector.X, vector.Y);
}
public static Vector operator - (Vector vector1, Vector vector2)
{
return Subtract (vector1, vector2);
}
public static Vector operator - (Vector vector)
{
Vector result = vector;
result.Negate ();
return result;
}
public static bool operator != (Vector vector1, Vector vector2)
{
return !Equals (vector1, vector2);
}
public static bool operator == (Vector vector1, Vector vector2)
{
return Equals (vector1, vector2);
}
public static double operator * (Vector vector1, Vector vector2)
{
return Multiply (vector1, vector2);
}
public static Vector operator * (Vector vector, Matrix matrix)
{
return Multiply (vector, matrix);
}
public static Vector operator * (double scalar, Vector vector)
{
return Multiply (scalar, vector);
}
public static Vector operator * (Vector vector, double scalar)
{
return Multiply (vector, scalar);
}
public static Vector operator / (Vector vector, double scalar)
{
return Divide (vector, scalar);
}
public static Point operator + (Vector vector, Point point)
{
return Add (vector, point);
}
public static Vector operator + (Vector vector1, Vector vector2)
{
return Add (vector1, vector2);
}
double _x;
double _y;
}
}