Play With Vectors in Flash CS4

PLAY WITH
VECTORS
FITC 09 - KOEN DE WEGGHELEIRE
www.newmovieclip.com

SESSION OVERVIEW

FITC, Feb 2009 http://www.newmovieclip.com

SESSION OVERVIEW

 Talk about myself...
 Introducing Mr. Vector
 Where does Mr. Vector live
 How can we use Mr Vector

 Examples
 Q and hopefully A


My DO’s and DONT’s



 I DO lecture, speak, coordinate, write, manage...



 I DO lecture, speak, coordinate, write, manage...
 I STILL DO NOT
 Renovate my house (sorry dad)
 Do Sports
 Eath Healty
 Have a girlfriend 


INTRODUCING MR VECTOR


<< Sega begins 24-hour countdown to quot;Vectormaniaquot;;
$160,000 in cash and prizes at stake as VectorMan, Sega's
most advanced, challenging Genesis game ever hits store
shelves tomorrow, Oct. 24 >> (Oct 23, 1995)



= Array whose elements have the same data type



  the base type (eg: int, String, Number, MyObject,...)




 = Using the postfix type parameter syntax




0 1 2 3 4 5

“A” “B” “C” “D” “E” “F”




0 1 2 3 4 5

“A” “B” “C” “D” “E” “F”

var v:Vector.<String>



 So, it is actually just an Array ?



 YEAH  but...



 YEAH  but...

 VECTOR = dence Array !



 YEAH  but...


var v:Vector.<String> = new Vector.<String>();
v[0] = “FITC”;
v[2] = “ROCKS !”;



 YEAH  but...


v[0] = “FITC”; RangeError: Error #1125:
v[2] = “ROCKS !”;



 VECTOR = bounds checked !




v[0] = “FITC”;
v[1] = “ROCKS !”;
trace(v[2]);




v[0] = “FITC”;
RangeError: Error #1125:
v[1] = “ROCKS !”;
trace(v[2]);




v[0] = “FITC”;
v[1] = “ROCKS !”;
trace(v[2]);

 VECTOR can be fixed length !




v[0] = “FITC”;
v[1] = “ROCKS !”;
trace(v[2]);

var v:Vector.<String> = new Vector.<String>(2,true);
v[0] = “FITC”;
v[1] = “ROCKS”;
V[2] = “AGAIN”;




v[0] = “FITC”;
v[1] = “ROCKS !”;
trace(v[2]);

var v:Vector.<String> = new Vector.<String>(2,true);
v[0] = “FITC”;
v[1] = “ROCKS”; RangeError: Error #1125:
V[2] = “AGAIN”;



 Vector() global function :




var arr:Array = new Array();
arr[0] = quot;FITCquot;;
arr[1] = quot;ROCKS!quot;;

var v:Vector.<String> = Vector.<String>(arr);
trace( v[0]+ “ ” + v[1] );




var arr:Array = new Array();
arr[0] = quot;FITCquot;;
arr[1] = quot;ROCKS!quot;;

var v:Vector.<String> = Vector.<String>(arr);
trace( v[0]+ “ ” + v[1] );

OUTPUT: FITC ROCKS!



DEMO



 Some interesting Vector methods :
 every : do test function until item returns false
 some : do test function untill item returns true
 filter : do test function and return new Vector.
 forEach : do a function on each item
 map : do a function on each item and return new
Vector

DEMO



 SUMMARY :
 Type Safety : compiler identifies data type errors.
 Performance: MUCH faster then Arrays !!
 Depending on what you do you can get 40-60%
performance boost.


WHERE DOES MR VECTOR LIVE ?



 Vectors in 3D MATRIX OPERATIONS



 Vectors in ADVANCED DRAWING



 2D drawing



 2D drawing
 3D drawing



 2D drawing
 3D drawing

Let’s start with 3D Matrices ...


3D MATRIX TRANSFORMATIONS



 Matrix3D class



 Matrix3D class
 in flash.geom package



 Matrix3D class
 = the matrix that describes the position and
orientation of a 3D display object.



 Matrix3D class
 Used for 3D transformations:



 Matrix3D class
 Translation, scaling, perspective projection,...



 Matrix3D class
 Translation, scaling, perspective projection,...

INDEED, it is again all about...



MATH
Oooooooooh noooooo...


Background: defining a matrix



ab c d
ef g h
ij k l
mn o p



ab c d  MATRIX
= rectangular table of numbers
ef g h  4 x 4 matrix
= four rows x 4 columns
ij k l  Dimensions of a matrix

mn o p
= number of rows by number of
columns



ab c d  MATRIX
= rectangular table of numbers
ef g h  4 x 4 matrix
= four rows x 4 columns
ij k l  Dimensions of a matrix

mn o p
= number of rows by number of
columns

 Each value stores a piece of data that can be used in a calculation !
 Preseted in Flash by a Vector !



 How does the 3D transformation matrix look:




scaleX 0 0 tx

0 scaleY 0 ty

0
0 scaleZ tz
0
0 0 tw




scaleX 0 0 tx

0 scaleY 0 ty

0
0 scaleZ tz
0
0 0 tw

x-axis




scaleX 0 0 tx

0 scaleY 0 ty

0
0 scaleZ tz
0
0 0 tw

x-axis y-axis




scaleX 0 0 tx

0 scaleY 0 ty

0
0 scaleZ tz
0
0 0 tw

x-axis y-axis z-axis




Orientation and scaling

scaleX 0 0 tx

0 scaleY 0 ty

0
0 scaleZ tz
0
0 0 tw





Orientation and scaling Translation

scaleX 0 0 tx

0 scaleY 0 ty

0
0 scaleZ tz
0
0 0 tw





scaleX 0 0 tx

scaleY
0 0 ty

0 scaleZ tz
0
0
0 0 tw




scaleX 0 0 tx X, Y and Z scale values
1 = 100% scale

scaleY
0 0 ty

0 scaleZ tz
0
0
0 0 tw




tx
scaleX 0 0

ty
0 scaleY 0

0 tz
0 scaleZ
0
0 0 tw




tx
scaleX 0 0 X, Y and Z
translation values

ty
0 scaleY 0 Value in pixels

0 tz
0 scaleZ
0
0 0 tw



 How does that work in Flash CS 4 ?
 Transform property of a 3D display object
 transform.matrix3d property

 Built in methods:
 appendTranslation
 appendRotation
 appendScale
 ...



 How does that work in Flash CS 4 ?
 Transform property of a 3D display object
 transform.matrix3d property

 Built in methods:
 appendTranslation
 appendRotation
 appendScale
 ...

DEMO


ADVANCED DRAWING API



 Sprite, MovieClip and Shape have a graphics property
= instance of Grahics class

 What can you do with it ?
 Generate vector shapes at runtime
 Alter vector shapes at runtime
 Create 3D effects

 and ...drawing is done by using Vectors ! 



 We are used to :
 Graphics.LineTo() , Graphics.curveTo(), Graphics.moveTo(),

 NOW :
 GraphicsPathCommand.NO_OP = 0
 GraphicsPathCommand.MOVE_TO = 1
 GraphicsPathCommand.LINE_TO = 2
 GraphicsPathCommand.CURVE_TO = 3
 GraphicsPathCommand.WIDE_MOVE_TO = 4
 GraphicsPathCommand.WIDE_LINE_TO = 5



 How can we use those commands ?
 Graphics.Drawpath( ) method expects a COMMANDS VECTOR
var cmds:Vector.<int> = new Vector.<int>();
cmds[0] = GraphicsPathCommand.MOVE_TO;
cmds[1] = GraphicsPathCommand.LINE_TO;
...



...
 Graphics.DrawPath() method also expects a DATA VECTOR
var data:Vector.<Number> = new Vector.<Number>();
data[0] = 50; data[1] = 200;
data[2] = 100; data[3] = 250;
data[4] = 200; data[5] = 300;



...
 Graphics.DrawPath() method also expects a DATA VECTOR
var data:Vector.<Number> = new Vector.<Number>();
data[0] = 50; data[1] = 200;
data[2] = 100; data[3] = 250;
data[4] = 200; data[5] = 300;

Graphics.drawPath(cmds , data )



 Graphic Data Classes



 in the flash.display package



 = data containers for the Drawing API



 All Graphic Data Classes implement the IGraphicsData
interface



interface

 Some examples :



interface

 Some examples :
 GraphicsBitmapFill( ), GraphicsSolidFill( ),
GraphicsGradientFill( ), GraphicsPath( ),...



DEMO


 Graphics.drawGraphicsData()
 Used to render a collection of Graphic Data Classes
 You need to pass a VECTOR (type IGraphicsData) which
contains all the the necessary Graphic Data

DEMO


 Graphics.drawGraphicsData()
 Used to render a collection of Graphic Data Classes
 You need to pass a VECTOR (type IGraphicsData) which
contains all the the necessary Graphic Data

var drawing:Vector.<IGraphicsData> = new
Vector.<IGraphicsData>();

//stroke = GraphicsStroke instance
drawing[0] = stroke;
//fill = GraphicsSolidFill instance
drawing[1] = fill;
// path = GraphicsPath instance
drawing[2] = path;

graphics.drawGraphicsData(drawing); DEMO


 DEMO: Draw Graphics Data from FXG 1.0 file
 FXG 1.0 describes and XML based graphics interchange
format for the Flash Platform

Specifications of FXG : http://opensource.adobe.com/wiki/display/flexsdk/FXG+1.0+Specification


 Graphics.drawTriangles( ) method:
 Can be used for 3D effects through ActionScript
 You need to pass a VECTOR with vertices ()



(100 , 0)
(0 , 0)

(0 , 100)



(100 , 0)
(0 , 0)

graphics.beginFill(0xFF3701);
graphics.drawTriangles(
(0 , 100) Vector.<Number>([
0,0, 100,0, 0,100
]));



A
B


 PROBLEM : What if two triangles share points ?

(100 , 0)
(0 , 0)
A
B
(100 , 100)
(0 , 100)


 PROBLEM : What if two triangles share points ?

(100 , 0)
(0 , 0)
A
B
(100 , 100)
(0 , 100)
Vector.<Number>([
A 0,0, 100,0, 0,100,
B 100,0, 100,100, 0,100
]));


 SOLUTION: The indices parameter :

A
B



POINT 0
A
B



POINT 1
POINT 0
A
B



POINT 1
POINT 0
A
B
POINT 2



POINT 1
POINT 0
A
B
POINT 3
POINT 2



POINT 1
POINT 0
Rectangle A=
A POINT 0 POINT 1  POINT 2
INDICES = 0, 1 , 2

B Rectangle B=
POINT 1 POINT 3  POINT 2
INDICES = 1, 3, 2
POINT 3
POINT 2



POINT 1
POINT 0
Rectangle A=
A POINT 0 POINT 1  POINT 2
INDICES = 0, 1 , 2

B Rectangle B=
POINT 1 POINT 3  POINT 2
INDICES = 1, 3, 2
POINT 3
POINT 2

Vector.<Number>([
0,0, 100,0, 0,100,
100,0, 100,100, 0,100
]));


 Texturing the triangles : UV Data



V=0

A
B
V=1

U = value in % (0-1) U=0 U=1
V = value in % (0-1)



V=0

A
B
V=1

U = value in % (0-1) U=0 U=1
V = value in % (0-1) DEMO


 Adding perspective : UVT Data
 UV data for bitmap mapping to vertices

 T adds perspective projection
 = scale ratio at that location in Z direction

Looks like 3D, but is an illusion (it is 2D)




eg : T = 200 / (200 + 200) = 0.5
DEMO
eg : T = 20 / (20 + 200) = 0.09

 How to determine the scale ratio T ?

eg : T = 200 / (200 + 200) = 0.5
DEMO
eg : T = 20 / (20 + 200) = 0.09

T = focalLenght / (focalLength + z);

eg : T = 200 / (200 + 200) = 0.5
DEMO
eg : T = 20 / (20 + 200) = 0.09


focalLength
eg : T = 200 / (200 + 200) = 0.5
DEMO
eg : T = 20 / (20 + 200) = 0.09


focalLength z value
eg : T = 200 / (200 + 200) = 0.5
DEMO
eg : T = 20 / (20 + 200) = 0.09

Q and hopefully A


Q and hopefully A

Q?

THANKS
Slides and Demos available at
www.newmovieclip.com


Play With Vectors in Flash CS4

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