# Matrix.TransformVectors Method

## Definition

Multiplies each vector in an array by the matrix. The translation elements of this matrix (third row) are ignored.

 Applies only the scale and rotate components of this Matrix to the specified array of points. Multiplies each vector in an array by the matrix. The translation elements of this matrix (third row) are ignored.

## TransformVectors(Point[])

Applies only the scale and rotate components of this Matrix to the specified array of points.

``````public:
void TransformVectors(cli::array <System::Drawing::Point> ^ pts);``````
``public void TransformVectors (System.Drawing.Point[] pts);``
``member this.TransformVectors : System.Drawing.Point[] -> unit``
``Public Sub TransformVectors (pts As Point())``

#### Parameters

pts
Point[]

An array of Point structures that represents the points to transform.

### Examples

The following code example is designed for use with Windows Forms, and it requires PaintEventArgs`e`, an Paint event object. The code performs the following actions:

• Creates an array of points that form a rectangle.

• Draws this array of points to the screen prior to applying a scaling transform (the blue rectangle).

• Creates a matrix and scales it by 3 in the x-axis and 2 in the y-axis, and translates it by 100 in both axes.

• Lists the matrix elements to the screen.

• Applies this matrix transform to the array of points.

• Draws the transformed array to the screen (the red rectangle).

Notice that the red rectangle has been scaled by a factor of 3 in the x-axis and by 2 in the y-axis, including the upper left-hand corner of the rectangle (the beginning point of the rectangle) but the translation vector (the last two elements of the matrix) is ignored.

``````public:
void TransformVectorsExample( PaintEventArgs^ e )
{
Pen^ myPen = gcnew Pen( Color::Blue,1.0f );
Pen^ myPen2 = gcnew Pen( Color::Red,1.0f );

// Create an array of points.
array<Point>^ myArray = {Point(20,20),Point(120,20),Point(120,120),Point(20,120),Point(20,20)};

// Draw the Points to the screen before applying the
// transform.
e->Graphics->DrawLines( myPen, myArray );

// Create a matrix, scale it, and translate it.
Matrix^ myMatrix = gcnew Matrix;
myMatrix->Scale( 3, 2, MatrixOrder::Append );
myMatrix->Translate( 100, 100, MatrixOrder::Append );

// List the matrix elements to the screen.
ListMatrixElements( e, myMatrix, "Scaled and Translated Matrix", 6, 20 );

// Apply the transform to the array.
myMatrix->TransformVectors( myArray );

// Draw the Points to the screen again after applying the
// transform.
e->Graphics->DrawLines( myPen2, myArray );
}

//-------------------------------------------------------
// This function is a helper function to
// list the contents of a matrix.
//-------------------------------------------------------
void ListMatrixElements( PaintEventArgs^ e, Matrix^ matrix, String^ matrixName, int numElements, int y )
{
// Set up variables for drawing the array
// of points to the screen.
int i;
float x = 20,X = 200;
System::Drawing::Font^ myFont = gcnew System::Drawing::Font( "Arial",8 );
SolidBrush^ myBrush = gcnew SolidBrush( Color::Black );

// Draw the matrix name to the screen.
e->Graphics->DrawString( String::Concat( matrixName, ":  " ), myFont, myBrush, (float)x, (float)y );

// Draw the set of path points and types to the screen.
for ( i = 0; i < numElements; i++ )
{
e->Graphics->DrawString( String::Concat( matrix->Elements[ i ], ", " ), myFont, myBrush, (float)X, (float)y );
X += 30;
}
}
``````
``````public void TransformVectorsExample(PaintEventArgs e)
{
Pen myPen = new Pen(Color.Blue, 1);
Pen myPen2 = new Pen(Color.Red, 1);

// Create an array of points.
Point[] myArray =
{
new Point(20, 20),
new Point(120, 20),
new Point(120, 120),
new Point(20, 120),
new Point(20,20)
};

// Draw the Points to the screen before applying the
// transform.
e.Graphics.DrawLines(myPen, myArray);

// Create a matrix, scale it, and translate it.
Matrix myMatrix = new Matrix();
myMatrix.Scale(3, 2, MatrixOrder.Append);
myMatrix.Translate(100, 100, MatrixOrder.Append);

// List the matrix elements to the screen.
ListMatrixElements(e,
myMatrix,
"Scaled and Translated Matrix",
6,
20);

// Apply the transform to the array.
myMatrix.TransformVectors(myArray);

// Draw the Points to the screen again after applying the
// transform.
e.Graphics.DrawLines(myPen2, myArray);
}

//-------------------------------------------------------
// This function is a helper function to
// list the contents of a matrix.
//-------------------------------------------------------
public void ListMatrixElements(
PaintEventArgs e,
Matrix matrix,
string matrixName,
int numElements,
int y)
{

// Set up variables for drawing the array
// of points to the screen.
int i;
float x = 20, X = 200;
Font myFont = new Font("Arial", 8);
SolidBrush myBrush = new SolidBrush(Color.Black);

// Draw the matrix name to the screen.
e.Graphics.DrawString(
matrixName + ":  ",
myFont,
myBrush,
x,
y);

// Draw the set of path points and types to the screen.
for(i=0; i<numElements; i++)
{
e.Graphics.DrawString(
matrix.Elements[i].ToString() + ", ",
myFont,
myBrush,
X,
y);
X += 30;
}
}
``````
``````Public Sub TransformVectorsExample(ByVal e As PaintEventArgs)
Dim myPen As New Pen(Color.Blue, 1)
Dim myPen2 As New Pen(Color.Red, 1)

' Create an array of points.
Dim myArray As Point() = {New Point(20, 20), New Point(120, 20), _
New Point(120, 120), New Point(20, 120), New Point(20, 20)}

' Draw the Points to the screen before applying the
' transform.
e.Graphics.DrawLines(myPen, myArray)

' Create a matrix and scale it.
Dim myMatrix As New Matrix
myMatrix.Scale(3, 2, MatrixOrder.Append)
myMatrix.Translate(100, 100, MatrixOrder.Append)
ListMatrixElementsHelper(e, myMatrix, _
"Scaled and Translated Matrix", 6, 20)
myMatrix.TransformVectors(myArray)

' Draw the Points to the screen again after applying the
' transform.
e.Graphics.DrawLines(myPen2, myArray)
End Sub

' A helper function to list the contents of a matrix.
Public Sub ListMatrixElementsHelper(ByVal e As PaintEventArgs, _
ByVal matrix As Matrix, ByVal matrixName As String, ByVal numElements As Integer, _
ByVal y As Integer)

' Set up variables for drawing the array
' of points to the screen.
Dim i As Integer
Dim x As Single = 20
Dim j As Single = 200
Dim myFont As New Font("Arial", 8)
Dim myBrush As New SolidBrush(Color.Black)

' Draw the matrix name to the screen.
e.Graphics.DrawString(matrixName + ":  ", myFont, myBrush, x, y)

' Draw the set of path points and types to the screen.
For i = 0 To numElements - 1
e.Graphics.DrawString(matrix.Elements(i).ToString() + ", ", _
myFont, myBrush, j, y)
j += 30
Next i
End Sub
``````

## TransformVectors(PointF[])

Multiplies each vector in an array by the matrix. The translation elements of this matrix (third row) are ignored.

``````public:
void TransformVectors(cli::array <System::Drawing::PointF> ^ pts);``````
``public void TransformVectors (System.Drawing.PointF[] pts);``
``member this.TransformVectors : System.Drawing.PointF[] -> unit``
``Public Sub TransformVectors (pts As PointF())``

#### Parameters

pts
PointF[]

An array of Point structures that represents the points to transform.

### Examples

For an example, see TransformVectors(Point[]).