Macromedia Flash Professional 8 UNLEASHED [Electronic resources]

David Vogeleer, Eddie Wilson, Lou Barber

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The Matrix Class

The Matrix class allows you to perform a transformation by manipulating coordinates.

It is important when using this class to import it first at the beginning of your script, like this:

import flash.geom.Matrix;

To instantiate a new instance of the Matrix class, use this code as a template:

var myMatrix:Matrix = new Matrix(a,b,c,d,tx,ty);

  • a Numerical value of the first row, first column.

  • b Numerical value of the first row, second column.

  • c Numerical value of the second row, first column.

  • d Numerical value of the second row, second column.

  • tx Numerical value of the third row, first column.

  • ty Numerical value of the third row, second column.

Example :

This example will create an instance of the Matrix class and send it to the Output panel:

import flash.geom.Matrix;
var myMatrix:Matrix = new Matrix(1,2,3,4,5,6);
trace(myMatrix);
//output: (a=1, b=2, c=3, d=4, tx=5, ty=6)

Because all the properties of this object match the parameters identically, they will be skipped.

Methods

clone

Availability : FP:8, AS:1.0

Generic Template : myMatrix.clone();

Returns : Matrix

This method will return an exact duplicate of the Matrix object it is being called on.

Description:

This method will create an exact copy of the Matrix object it is being called on.

Example:

This example will create a Matrix object, create a copy, and output that copy:

import flash.geom.Matrix;
var myMatrix:Matrix = new Matrix(1,2,3,4,5,6);
var myMatrix2:Matrix = myMatrix.clone();
trace(myMatrix2);
//output: (a=1, b=2, c=3, d=4, tx=5, ty=6)

concat

Availability : FP:8, AS:1.0

Generic Template : myMatrix.concat(matrix);

Parameters :

  • matrix Another Matrix object concatenated to the one calling the method.

Description:

This method will combine one matrix with another. This may seem like the values will be added, but instead a matrix multiplication will occur.

Example:

This example will create two Matrix objects and combine them:

import flash.geom.Matrix;
var myMatrix:Matrix = new Matrix(1,2,3,4,5,6);
var myMatrix2:Matrix = myMatrix.clone();
myMatrix.concat(myMatrix2);
trace(myMatrix);
//output: (a=7, b=10, c=15, d=22, tx=28, ty=40)

createBox

Availability : FP:8, AS:1.0

Generic Template : myMatrix.createBox(scaleX, scaleY, rot, x, y);

Parameters:

  • scaleX Horizontal scaling value.

  • scaleY Vertical scaling value.

  • rot A numerical value to rotate the Matrix by, in radians. Default value of 0.

  • x The amount in pixels of horizontal movement. Default value of 0.

  • y The amount in pixels of vertical movement. Default value of 0.

Description:

This method will transform the matrix values based on given information such as scaling and rotation. This one method will accomplish in a single task what it would take several other of the Matrix methods to accomplish in a row.

Example:

This example will create a Matrix object, use the createBox method to transform it, and then output the results:

[View full width]

import flash.geom.Matrix; var myMatrix:Matrix = new Matrix(1,2,3,4,5,6); myMatrix.createBox(2, 2, 45, 10, 10); trace(myMatrix); //output: (a=1.05064397763546, b=1.70180704906824, c=-1.70180704906824, d=1.05064397763546 , tx=10, ty=10)

createGradientMatrix

Availability : FP:8, AS:1.0

Generic Template : myMatrix.createGradientMatrix(w, h, rot, x, y);

Parameters:

  • w Width of the gradient box.

  • h Height of the gradient box.

  • rot A numerical value to rotate the Matrix by, in radians. Default value of 0.

  • x The amount in pixels of horizontal movement. Default value of 0. It will be offset by half of

    w . Default value of 0.

  • y The amount in pixels of vertical movement. Default value of 0. It will be offset by half of

    h . Default value of 0.

Description:

This method will create a very specific type of matrix, the gradient matrix.

Example:

This example will use the createGradientMatrix method to create the gradient for a square that will be drawn with the drawing API:

import flash.geom.Matrix;
//create the arrays we need
var colors:Array = [0x397dce, 0x000033];
var alphas:Array = [75, 100];
var ratios:Array = [0, 255];
//create the matrix
var myMatrix:Matrix = new Matrix();
//create the gradient
myMatrix.createGradientBox(200, 200, 0, 50, 50);
//draw the square
this.beginGradientFill("linear", colors, alphas, ratios, myMatrix);
this.lineTo(0, 300);
this.lineTo(300, 300);
this.lineTo(300, 0);
this.lineTo(0, 0);
this.endFill();

deltaTransformPoint

Availability : FP:8, AS:1.0

Generic Template : myMatrix.deltaTransformPoint(point);

Parameters:

  • point A Point object.

Returns : Point

A new Point object.

Description:

This method will create a new Point object based on the transformation. This method differs from the transformPoint method in that it does not use tx or ty when the transformation occurs.

Example:

This example will use the deltaTransformPoint to transform a point from one coordinate to another:

import flash.geom.Matrix;
import flash.geom.Point;
//create the point
var point:Point = new Point(25, 15);
//create the matrix
var myMatrix:Matrix = new Matrix(1,2,3,4,5,6);
//trace the point after delta transformation
trace(myMatrix.deltaTransformPoint(point));
//output: (x=70, y=110)

identity

Availability : FP:8, AS:1.0

Generic Template : myMatrix.identity();

Description:

This method will cause the matrix calling it to revert back to a default matrix.

Example:

This example will create a defined matrix and send its information to the Output panel. Then it will call the identity method and send the information again:

import flash.geom.Matrix;
var myMatrix:Matrix = new Matrix(4,5,6,7,8,9);
trace(myMatrix);
myMatrix.identity();
trace(myMatrix);
//output:(a=4, b=5, c=6, d=7, tx=8, ty=9)
//(a=1, b=0, c=0, d=1, tx=0, ty=0)

invert

Availability : FP:8, AS:1.0

Generic Template : myMatrix.invert();

Description:

This method will completely reverse the matrix if, for instance, you want to undo a transformation.

Example:

This example will create a defined matrix and send its information to the Output panel. Then it will call the invert method and send the information again:

import flash.geom.Matrix;
var myMatrix:Matrix = new Matrix(1,2,3,4,5,6);
trace(myMatrix);
myMatrix.invert();
trace(myMatrix);
//output:(a=1, b=2, c=3, d=4, tx=5, ty=6)
//(a=-2, b=1, c=1.5, d=-0.5, tx=1, ty=-2)

rotate

Availability : FP:8, AS:1.0

Generic Template : myMatrix.rotate(rot);

Parameters :

  • rot The amount to rotate the matrix by, in radians.

Description:

This method will alter the

a and

d properties of the matrix so it can be used to apply rotation.

Example:

This example will create a defined matrix and send its information to the Output panel. Then it will be rotated 45 degrees and sent back to the Output panel:

[View full width]

import flash.geom.Matrix; var myMatrix:Matrix = new Matrix(1,2,3,4,5,6); trace(myMatrix); myMatrix.rotate(45); trace(myMatrix); //output:(a=1, b=2, c=3, d=4, tx=5, ty=6) //(a=-1.17648506025051, b=1.90154750216958, c=-1.82764813168328, d=4.65399852887327, tx=-2 .47881120311606, ty=7.40644955557697)

scale

Availability : FP:8, AS:1.0

Generic Template : myMatrix.scale(x,y);

Parameters:

  • x The horizontal scaling amount.

  • y The vertical scaling amount.

Description:

This method will alter the

a and

d properties of the matrix so it can be used to apply scaling.

Example:

This example will create a defined matrix and send its information to the Output panel. Then it will be scaled and sent back to the Output panel:

import flash.geom.Matrix;
var myMatrix:Matrix = new Matrix();
trace(myMatrix);
myMatrix.scale(2,2);
trace(myMatrix);
//output:(a=1, b=0, c=0, d=1, tx=0, ty=0)
//(a=2, b=0, c=0, d=2, tx=0, ty=0)

toString

Availability : FP:8, AS:1.0

Generic Template : myMatrix.toString();

Returns : String

The string will contain all the properties of the matrix.

Description:

This method will return a string with every property of the matrix fully defined.

Example:

This example will create a defined matrix and send the output of the toString method to the Output panel:

import flash.geom.Matrix;
var myMatrix:Matrix = new Matrix();
trace(myMatrix.toString());
//output:(a=1, b=0, c=0, d=1, tx=0, ty=0)

TRansformPoint

Availability : FP:8, AS:1.0

Generic Template : myMatrix.transformPoint(point);

Parameters:

  • point The Point object that will be transformed.

Returns : Point

A new Point object.

Description:

This method will apply a transformation on the defined point based on the given matrix.

Example:

This example will create a Point at (10,10) and run it with the matrix using the TRansformPoint method:

import flash.geom.Matrix;
import flash.geom.Point;
var point:Point = new Point(10,10);
var myMatrix:Matrix = new Matrix(1,1,1,1,1,1);
trace(myMatrix.transformPoint(point));
//output:(x=21, y=21)

translate

Availability : FP:8, AS:1.0

Generic Template : myMatrix.translate(x,y);

Parameters:

  • x The amount of horizontal movement.

  • y The amount of vertical movement.

Description:

This method will modify a matrix by adjusting it along the horizontal and vertical axes.

Example:

This example will create a default matrix and adjust it by (10,10):

import flash.geom.Matrix;
var myMatrix:Matrix = new Matrix();
trace(myMatrix);
myMatrix.translate(10,10);
trace(myMatrix);
//output:(a=1, b=0, c=0, d=1, tx=0, ty=0)
//(a=1, b=0, c=0, d=1, tx=10, ty=10)