public static Matrix operator *(Matrix trans1,
Matrix trans2)
{
Matrix result = trans1;
result.Append(trans2);
return(result);
}
public static Matrix Multiply(Matrix trans1,
Matrix trans2)
{
Matrix m = trans1;
m.Append(trans2);
return(m);
}
public void Append(IMatrix matrix)
{
var m2 = (swm.Matrix)matrix.ControlObject;
control.Append(m2);
}
public void PerformOperation(object sender, RoutedEventArgs e)
{
RadioButton li = sender as RadioButton;
String syntaxString, resultType, operationString;
String[,] varArray = new String[5,2];
///The local variable point1, vector1, matrix1, etc are defined in each
///case block for readability reasons. Each variable is contained within
///the scope of each case statement.
switch (li.Name)
{ // begin switch
case "rb1":
{
// Multiplies a Matrix by a Matrix using the overloaded * operator
// Returns a Matrix
Matrix matrix1 = new Matrix(5,10,15,20,25,30);
Boolean isInvertible;
isInvertible = matrix1.HasInverse;
// isInvertible is equal to True
// Displaying Results
syntaxString = "isInvertible = matrix1.HasInverse;";
resultType = "Boolean";
operationString = "Checking if matrix1 is invertible";
ShowResults(isInvertible.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb2":
{
// Translates a Matrix
// Returns a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrixResult = new Matrix();
Double offsetX = 15;
Double offsetY = 25;
matrix1.Translate(offsetX, offsetY);
// matrix1 is not equal to
//Displaying Results
syntaxString = "matrix1.Translate(offsetX, offsetY);";
resultType = "Void";
operationString = "Translating a Matrix by a Point";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb3":
{
// Prepend a Tranlsation to a Matrix
// Returns a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrixResult = new Matrix();
Double offsetX = 15;
Double offsetY = 25;
matrix1.TranslatePrepend(offsetX, offsetY);
// matrix1 is not equal to
//Displaying Results
syntaxString = " matrix1.TranslatePrepend(offsetX, offsetY);";
resultType = "Void";
operationString = "Prepending Translating a matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb4":
{
// Sets a Matrix to an identity matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
matrix1.SetIdentity();
// matrix1 is now equal to (1,0,0,1,0,0)
//Displaying Results
syntaxString = "matrix1.SetIdentity();";
resultType = "Void";
operationString = "Setting a matrix to an identity matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb5":
{
// Checks if a Matrix is an identity matrix
// Creates a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Boolean isIdentityMatrix;
// Sets matrix1 into an identity matrix
matrix1.SetIdentity();
isIdentityMatrix = matrix1.IsIdentity;
// isIdentityMatrix is equal to True
//Displaying Results
syntaxString = "isIdentityMatrix = matrix1.IsIdentity;";
resultType = "Boolean";
operationString = "Determining if a Matrix is an identity matrix";
ShowResults(isIdentityMatrix.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb6":
{
// Changes a Matrix into an identity matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
matrix1 = Matrix.Identity;
// matrix1 is now equal to (1,0,0,1,0,0)
//Displaying Results
syntaxString = "matrix1 = Matrix.Identity;";
resultType = "Matrix";
operationString = "Gets an identity Matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb7":
{
// Converts a string representation of a matrix into a Matrix structure
Matrix matrixResult = new Matrix();
matrixResult = Matrix.Parse("1,2,3,4,5,6");
// matrixResult is equal to (1,2,3,4,5,6)
//Displaying Results
syntaxString = "matrixResult = Matrix.Parse(\"1,2,3,4,5,6\");";
resultType = "Matrix";
operationString = "Convert a string into a Matrix structure";
ShowResults(matrixResult.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb8":
{
// Checks if two Matrixes are equal using the static Equals method
// Returns a Boolean.
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrix2 = new Matrix(2, 4, 6, 8, 10, 12);
Boolean areEqual;
areEqual = Matrix.Equals(matrix1, matrix2);
// areEqual is equal to False
//Displaying Results
syntaxString = "areEqual = Matrix.Equals(matrix1, matrix2);";
resultType = "Boolean";
operationString = "Checking if the matrices are equal";
ShowResults(areEqual.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb8b":
{
// Checks if an Object is equal to a Matrix using the static Equals method
// Returns a Boolean.
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrix2 = new Matrix(2, 4, 6, 8, 10, 12);
Boolean areEqual;
areEqual = matrix1.Equals(matrix2);
// areEqual is equal to False
//Displaying Results
syntaxString = "areEqual = Matrix.Equals(matrix1, matrix2);";
resultType = "Boolean";
operationString = "Checking if the matrices are equal";
ShowResults(areEqual.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb9":
{
// Checks if two Matrixes are equal using the overloaded == operator
// Returns a Boolean.
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrix2 = new Matrix(2, 4, 6, 8, 10, 12);
Boolean areEqual;
areEqual = matrix1 == matrix2;
// areEqual is equal to False
//Displaying Results
syntaxString = "areEqual = matrix1 == matrix2;";
resultType = "Boolean";
operationString = "Checking if the matrices are equal";
ShowResults(areEqual.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb10":
{
// Checks if two Matrixes are not equal using the overloaded != operator
// Returns a Boolean.
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrix2 = new Matrix(2, 4, 6, 8, 10, 12);
Boolean areEqual;
areEqual = matrix1 != matrix2;
// areEqual is equal to False
//Displaying Results
syntaxString = "areEqual = matrix1 != matrix2;";
resultType = "Boolean";
operationString = "Checking if the matrices are not equal";
ShowResults(areEqual.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb11":
{
// Inverts a Matrix
// Creating a Matrix structure
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
// Checking if matrix1 is invertible
if (matrix1.HasInverse)
{
// Inverting matrix1
matrix1.Invert();
// matrix1 is equal to (-0.04, 0.2 , 0.3, -0.1, 1, -2)
}
//Displaying Results
syntaxString = "matrix1.Invert();";
resultType = "Void";
operationString = "Inverting a matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb12":
{
// Prepends a Matrix to another Matrix.
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrix2 = new Matrix(2, 4, 6, 8, 10, 12);
matrix1.Prepend(matrix2);
// matrix1 is equal to (70,100,150,220,255,370)
//Displaying Results
syntaxString = "matrix1.Prepend(matrix2);";
resultType = "Void";
operationString = "Prepending a Matrix to another Matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb13":
{
// Appends a Matrix to another Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrix2 = new Matrix(2, 4, 6, 8, 10, 12);
matrix1.Append(matrix2);
// matrix1 is equal to (70,100,150,220,240,352)
//Displaying Results
syntaxString = "matrix1.Append(matrix2);";
resultType = "Void";
operationString = "Appending a Matrix to another Matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb14":
{
// Rotates a Matrix by a specified angle
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Double rotateAngle = 90;
matrix1.Rotate(rotateAngle);
// matrix1 is equal to (-10,5,-20,15,-30,25)
//Displaying Results
syntaxString = "matrix1.Rotate(rotateAngle);";
resultType = "Void";
operationString = "Rotating a Matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb15":
{
// Rotates a Matrix by a specified angle at a specific point
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
matrix1.RotateAt(90, 2, 4);
// matrix1 is equal to (-10,5,-20,15,-24,27)
//Displaying Results
syntaxString = "matrix1.RotateAt(rotateAngle, rotateCenterX, rotateCenterY);";
resultType = "Void";
operationString = "Rotating a Matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb16":
{
// Prepends a Rotation to a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Double rotateAngle = 90;
matrix1.RotatePrepend(rotateAngle);
// matrix1 is equal to (15,20,-5,-10,25,30)
//Displaying Results
syntaxString = "matrix1.RotatePrepend(rotateAngle);";
resultType = "Void";
operationString = "Rotating a Matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb17":
{
// Prepends a Rotation at a specific point to a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Double rotateAngle = 90;
matrix1.RotateAtPrepend(90, 2, 4);
// matrix1 is equal to (15,20,-5,-10,85,130)
//Displaying Results
syntaxString = "matrix1.RotateAtPrepend(rotateAngle, rotateCenterX, rotateCenterY);";
resultType = "Void";
operationString = "Rotating a Matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb18":
{
// Scales a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Double scaleX = (1);
Double scaleY = (2);
matrix1.Scale(scaleX, scaleY);
// matrix1 is equal to
//Displaying Results
syntaxString = "matrix1.Scale(scaleX, scaleY);";
resultType = "Void";
operationString = "Scaling a Matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb19":
{
// Multiplies a Matrix by another Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrix2 = new Matrix(2, 4, 6, 8, 10, 12);
Matrix matrixResult = new Matrix();
matrixResult = Matrix.Multiply(matrix2, matrix1);
// matrixResult is equal to (70, 100, 150, 220, 255, 370)
//Displaying Results
syntaxString = "matrixResult = Matrix.Multiply(matrix2, matrix1);";
resultType = "Matrix";
operationString = "Multiplying matrix1 and matrix2";
ShowResults(matrixResult.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb20":
{
// Multiplies a Matrix by another Matrix using the overloaded * operator
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Matrix matrix2 = new Matrix(2, 4, 6, 8, 10, 12);
Matrix matrixResult = new Matrix();
matrixResult = matrix1 * matrix2;
// matrixResult is equal to (70, 100, 150, 220, 240, 352)
//Displaying Results
syntaxString = " matrixResult = matrix1 * matrix2;";
resultType = "Matrix";
operationString = "Multiplying matrix1 and matrix2";
ShowResults(matrixResult.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb21":
{
// Appends a skew to a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Double skewAngleX = 45;
Double skewAngleY = 180;
matrix1.Skew(skewAngleX, skewAngleY);
// matrix1 is equal to (15, 10, 35, 20, 55, 30)
//Displaying Results
syntaxString = "matrix1.Skew(skewAngleX, skewAngleY);";
resultType = "Void";
operationString = "Multiplying matrix2 and matrix1";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb22":
{
// Prepends a skew to a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Double skewAngleX = 45;
Double skewAngleY = 180;
matrix1.SkewPrepend(skewAngleX, skewAngleY);
// matrix1 is equal to (5, 10, 20, 30, 25, 30)
//Displaying Results
syntaxString = "matrix1.SkewPrepend(skewAngleX, skewAngleY);";
resultType = "Void";
operationString = "Multiplying matrix2 and matrix1";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb23":
{
// Appends a scale to a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Double scaleFactorX = 2;
Double scaleFactorY = 4;
matrix1.Scale(scaleFactorX, scaleFactorY);
// matrix1 is equal to (10, 40, 30, 80, 50, 120)
//Displaying Results
syntaxString = "matrix1.Scale(scaleFactorX, scaleFactorY);";
resultType = "Void";
operationString = "Appending a scale to a matrix";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb24":
{
// Appends a scale at a specific point to a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
matrix1.ScaleAt(2, 4, 5, 10);
// matrix1 is equal to (10, 40, 30, 80, 45, 90)
//Displaying Results
syntaxString = " matrix1.ScaleAt(scaleFactorX, scaleFactorY, scaleCenterX, scaleCenterY);";
resultType = "Void";
operationString = "Appends a scale at a specific point to matrix1";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb25":
{
// Prepends a scale to a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Double scaleFactorX = 2;
Double scaleFactorY = 4;
matrix1.ScalePrepend(scaleFactorX, scaleFactorY);
// matrix1 is equal to (10, 20, 60, 80, 25, 30)
//Displaying Results
syntaxString = "matrix1.ScalePrepend(scaleFactorX, scaleFactorY);";
resultType = "Void";
operationString = "Prepending a scale to matrix1";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb26":
{
// Prepends a scale at a specific point to a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
matrix1.ScaleAtPrepend(2, 4, 5, 10);
// matrix1 is equal to (10, 20, 60, 80, -450, -620)
//Displaying Results
syntaxString = "matrix1.ScalePrependAt(scaleFactorX, scaleFactorY, centerPointX, centerPointY);";
resultType = "Void";
operationString = "Prepending a scale at a specific point to matrix1";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb29":
{
// Transform a point by a matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Point point1 = new Point(15, 25);
Point pointResult = new Point();
pointResult = matrix1.Transform(point1);
// pointResult is equal to (475, 680)
//Displaying Results
syntaxString = "pointResult = matrix1.Transform(point1)";
resultType = "Point";
operationString = "Transforming a point1 by matrix1";
ShowResults(pointResult.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb30":
{
// Transform a Vector by a Matrix
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Vector vector1 = new Vector(15, 25);
Vector vectorResult = new Vector();
vectorResult = matrix1.Transform(vector1);
// vectorResult is equal to (450, 650)
//Displaying Results
syntaxString = "vectorResult = matrix1.Transform(vector1);";
resultType = "Vector";
operationString = "Multiplying matrix2 and matrix1";
ShowResults(matrix1.ToString(), syntaxString, resultType, operationString);
break;
}
case "rb31":
{
// Transform an array of Points by a Matrix
// Creating a Matrix and an array of Pointers
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Point[] pointArray = new Point[2];
// Setting the Point's X and Y values
pointArray[0].X = 15;
pointArray[0].Y = 25;
pointArray[1].X = 30;
pointArray[1].Y = 35;
// Transforming the Points in pointArry by matrix1
matrix1.Transform(pointArray);
// pointArray[0] is equal to (475, 680)
// pointArray[1] is equal to (700, 1030)
//Displaying Results
syntaxString = "matrix1.Transform(pointArray);";
resultType = "void";
operationString = "Transforming an array of Points by matrix1";
ShowResults(pointArray[1].ToString(), syntaxString, resultType, operationString);
break;
}
case "rb32":
{
// Transform an array of Vectors by a Matrix
// Creating a Matrix and an array of Vectors
Matrix matrix1 = new Matrix(5, 10, 15, 20, 25, 30);
Vector[] vectorArray = new Vector[2];
// Setting the Vector's X and Y values
vectorArray[0].X = 15;
vectorArray[0].Y = 25;
vectorArray[1].X = 30;
vectorArray[1].Y = 35;
// Transforming the Vectors in vectorArray by matrix1
matrix1.Transform(vectorArray);
// VectorArray[0] is equal to (450, 650)
// VectorArray[1] is equal to (675, 1000)
//Displaying Results
syntaxString = " matrix1.Transform(vectorArray);";
resultType = "Void";
operationString = "Multiplying matrix2 and matrix1";
ShowResults(vectorArray[0].ToString(), syntaxString, resultType, operationString);
break;
}
default:
break;
}// end switch
}
private Rect UpdateExtent(double resolution, Point center, double width, double height)
{
try
{
if ((width == 0) || (height == 0)) return new Rect();
double spanX = width*resolution;
double spanY = height*resolution;
var rect = new Rect(center.X - spanX*0.5, center.Y - spanY*0.5, spanX, spanY);
var matrix = new Matrix();
double mapCenterX = width*0.5;
double mapCenterY = height*0.5;
matrix.Translate(mapCenterX - center.X, mapCenterY - center.Y);
matrix.ScaleAt(1/resolution, 1/resolution, mapCenterX, mapCenterY);
matrix.Append(new Matrix(1, 0, 0, -1, 0, 0));
matrix.Translate(0, height);
_transform.Matrix = matrix;
return rect;
}
catch
{
return new Rect();
}
}
public void Append ()
{
Matrix m = new Matrix (1, 2, 3, 4, 5, 6);
m.Append (m);
CheckMatrix (new Matrix (7, 10, 15, 22, 28, 40), m);
}
