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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@ximian.com)
//
using System;
using System.ComponentModel;
using System.Windows.Markup;
using System.Windows.Media.Converters;
using System.Windows.Threading;
namespace System.Windows.Media {
[Serializable]
[TypeConverter (typeof(MatrixConverter))]
[ValueSerializer (typeof (MatrixValueSerializer))]
public struct Matrix : IFormattable {
double m11;
double m12;
double m21;
double m22;
double offsetX;
double offsetY;
public Matrix (double m11,
double m12,
double m21,
double m22,
double offsetX,
double offsetY)
{
this.m11 = m11;
this.m12 = m12;
this.m21 = m21;
this.m22 = m22;
this.offsetX = offsetX;
this.offsetY = offsetY;
}
public void Append (Matrix matrix)
{
double _m11;
double _m21;
double _m12;
double _m22;
double _offsetX;
double _offsetY;
_m11 = m11 * matrix.M11 + m12 * matrix.M21;
_m12 = m11 * matrix.M12 + m12 * matrix.M22;
_m21 = m21 * matrix.M11 + m22 * matrix.M21;
_m22 = m21 * matrix.M12 + m22 * matrix.M22;
_offsetX = offsetX * matrix.M11 + offsetY * matrix.M21 + matrix.OffsetX;
_offsetY = offsetX * matrix.M12 + offsetY * matrix.M22 + matrix.OffsetY;
m11 = _m11;
m12 = _m12;
m21 = _m21;
m22 = _m22;
offsetX = _offsetX;
offsetY = _offsetY;
}
public bool Equals (Matrix value)
{
return (m11 == value.M11 &&
m12 == value.M12 &&
m21 == value.M21 &&
m22 == value.M22 &&
offsetX == value.OffsetX &&
offsetY == value.OffsetY);
}
public override bool Equals (object o)
{
if (!(o is Matrix))
return false;
return Equals ((Matrix)o);
}
public static bool Equals (Matrix matrix1,
Matrix matrix2)
{
return matrix1.Equals (matrix2);
}
public override int GetHashCode ()
{
throw new NotImplementedException ();
}
public void Invert ()
{
if (!HasInverse)
throw new InvalidOperationException ("Transform is not invertible.");
double d = Determinant;
/* 1/(ad-bc)[d -b; -c a] */
double _m11 = m22;
double _m12 = -m12;
double _m21 = -m21;
double _m22 = m11;
double _offsetX = m21 * offsetY - m22 * offsetX;
double _offsetY = m12 * offsetX - m11 * offsetY;
m11 = _m11 / d;
m12 = _m12 / d;
m21 = _m21 / d;
m22 = _m22 / d;
offsetX = _offsetX / d;
offsetY = _offsetY / d;
}
public static Matrix Multiply (Matrix trans1,
Matrix trans2)
{
Matrix m = trans1;
m.Append (trans2);
return m;
}
public static bool operator == (Matrix matrix1,
Matrix matrix2)
{
return matrix1.Equals (matrix2);
}
public static bool operator != (Matrix matrix1,
Matrix matrix2)
{
return !matrix1.Equals (matrix2);
}
public static Matrix operator * (Matrix trans1,
Matrix trans2)
{
Matrix result = trans1;
result.Append (trans2);
return result;
}
public static Matrix Parse (string source)
{
throw new NotImplementedException ();
}
public void Prepend (Matrix matrix)
{
double _m11;
double _m21;
double _m12;
double _m22;
double _offsetX;
double _offsetY;
_m11 = matrix.M11 * m11 + matrix.M12 * m21;
_m12 = matrix.M11 * m12 + matrix.M12 * m22;
_m21 = matrix.M21 * m11 + matrix.M22 * m21;
_m22 = matrix.M21 * m12 + matrix.M22 * m22;
_offsetX = matrix.OffsetX * m11 + matrix.OffsetY * m21 + offsetX;
_offsetY = matrix.OffsetX * m12 + matrix.OffsetY * m22 + offsetY;
m11 = _m11;
m12 = _m12;
m21 = _m21;
m22 = _m22;
offsetX = _offsetX;
offsetY = _offsetY;
}
public void Rotate (double angle)
{
// R_theta==[costheta -sintheta; sintheta costheta],
double theta = angle * Math.PI / 180;
Matrix r_theta = new Matrix (Math.Cos (theta), Math.Sin(theta),
-Math.Sin (theta), Math.Cos(theta),
0, 0);
Append (r_theta);
}
public void RotateAt (double angle,
double centerX,
double centerY)
{
Translate (-centerX, -centerY);
Rotate (angle);
Translate (centerX, centerY);
}
public void RotateAtPrepend (double angle,
double centerX,
double centerY)
{
Matrix m = Matrix.Identity;
m.RotateAt (angle, centerX, centerY);
Prepend (m);
}
public void RotatePrepend (double angle)
{
Matrix m = Matrix.Identity;
m.Rotate (angle);
Prepend (m);
}
public void Scale (double scaleX,
double scaleY)
{
Matrix scale = new Matrix (scaleX, 0,
0, scaleY,
0, 0);
Append (scale);
}
public void ScaleAt (double scaleX,
double scaleY,
double centerX,
double centerY)
{
Translate (-centerX, -centerY);
Scale (scaleX, scaleY);
Translate (centerX, centerY);
}
public void ScaleAtPrepend (double scaleX,
double scaleY,
double centerX,
double centerY)
{
Matrix m = Matrix.Identity;
m.ScaleAt (scaleX, scaleY, centerX, centerY);
Prepend (m);
}
public void ScalePrepend (double scaleX,
double scaleY)
{
Matrix m = Matrix.Identity;
m.Scale (scaleX, scaleY);
Prepend (m);
}
public void SetIdentity ()
{
m11 = m22 = 1.0;
m12 = m21 = 0.0;
offsetX = offsetY = 0.0;
}
public void Skew (double skewX,
double skewY)
{
Matrix skew_m = new Matrix (1, Math.Tan (skewY * Math.PI / 180),
Math.Tan (skewX * Math.PI / 180), 1,
0, 0);
Append (skew_m);
}
public void SkewPrepend (double skewX,
double skewY)
{
Matrix m = Matrix.Identity;
m.Skew (skewX, skewY);
Prepend (m);
}
string IFormattable.ToString (string format,
IFormatProvider provider)
{
throw new NotImplementedException ();
}
public override string ToString ()
{
if (IsIdentity)
return "Identity";
else
return string.Format ("{0},{1},{2},{3},{4},{5}",
m11, m12, m21, m22, offsetX, offsetY);
}
public string ToString (IFormatProvider provider)
{
throw new NotImplementedException ();
}
public Point Transform (Point point)
{
return Point.Multiply (point, this);
}
public void Transform (Point[] points)
{
for (int i = 0; i < points.Length; i ++)
points[i] = Transform (points[i]);
}
public Vector Transform (Vector vector)
{
return Vector.Multiply (vector, this);
}
public void Transform (Vector[] vectors)
{
for (int i = 0; i < vectors.Length; i ++)
vectors[i] = Transform (vectors[i]);
}
public void Translate (double offsetX,
double offsetY)
{
this.offsetX += offsetX;
this.offsetY += offsetY;
}
public void TranslatePrepend (double offsetX,
double offsetY)
{
Matrix m = Matrix.Identity;
m.Translate (offsetX, offsetY);
Prepend (m);
}
public double Determinant {
get { return m11 * m22 - m12 * m21; }
}
public bool HasInverse {
get { return Determinant != 0; }
}
public static Matrix Identity {
get { return new Matrix (1.0, 0.0, 0.0, 1.0, 0.0, 0.0); }
}
public bool IsIdentity {
get { return Equals (Matrix.Identity); }
}
public double M11 {
get { return m11; }
set { m11 = value; }
}
public double M12 {
get { return m12; }
set { m12 = value; }
}
public double M21 {
get { return m21; }
set { m21 = value; }
}
public double M22 {
get { return m22; }
set { m22 = value; }
}
public double OffsetX {
get { return offsetX; }
set { offsetX = value; }
}
public double OffsetY {
get { return offsetY; }
set { offsetY = value; }
}
}
}
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