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What's next?

In the next module, you will learn how to compare column matrices for equality, how to compare two points for equality, how to compare two vectors forequality, how to add one column matrix to another, how to subtract one column matrix from another, and how to get a displacement vector from one point toanother.

Miscellaneous

This section contains a variety of miscellaneous information.

Housekeeping material
  • Module name: GAME2302-0110: Updating the Game Math Library for Graphics
  • File: Game0110.htm
  • Published: 10/14/12
  • Revised: 02/01/16
Disclaimers:

Financial : Although the Connexions site makes it possible for you to download a PDF file for thismodule at no charge, and also makes it possible for you to purchase a pre-printed version of the PDF file, you should beaware that some of the HTML elements in this module may not translate well into PDF.

I also want you to know that, I receive no financial compensation from the Connexions website even if you purchase the PDF version of the module.

In the past, unknown individuals have copied my modules from cnx.org, converted them to Kindle books, and placed them for sale on Amazon.com showing me as the author. Ineither receive compensation for those sales nor do I know who does receive compensation. If you purchase such a book, please beaware that it is a copy of a module that is freely available on cnx.org and that it was made and published withoutmy prior knowledge.

Affiliation : I am a professor of Computer Information Technology at Austin Community College in Austin, TX.

Complete program listings

Complete listings of the programs discussed in this module are shown in Listing 26 through Listing 28 below.

Listing 26 . Source code for the game-math library class named GM2D02.

/*GM2D02.java Copyright 2008, R.G.BaldwinRevised 02/03/08 The name GM2Dnn is an abbreviation for GameMath1Dnn.See the file named GM2D01.java for a general description of this game-math library file. This file is an update ofGM2D01. This update added the following new capabilities:Draw circles around points Draw linesDraw vectors Call a set method to change the values in aColMatrix object. Call a set method to change the values in aPoint object. Call a set method to change the values in aVector object. Call a set method to change one of the pointsthat defines a line. Constructors were updated to ensure that existing points,vectors, and lines are not corrupted by using the newset methods to change the values in the ColMatrix and/or Point objects originally used to construct the points,vectors, and lines. The updated constructors create and save clones of theColMatrix and/or Point objects originally used to define the Point, Vector, and/or Line objects.Tested using JDK 1.6 under WinXP. *********************************************************/import java.awt.geom.*; import java.awt.*;public class GM2D02{ //An object of this class represents a 2D column matrix.// An object of this class is the fundamental building // block for several of the other classes in the// library. public static class ColMatrix{double[] data = new double[2];ColMatrix(double data0,double data1){//constructor data[0]= data0; data[1]= data1; }//end constructor//--------------------------------------------------//public String toString(){ return data[0]+ "," + data[1];}//end overridden toString method //--------------------------------------------------//public double getData(int index){if((index<0) || (index>1)){ throw new IndexOutOfBoundsException();}else{ return data[index]; }//end else}//end getData method //--------------------------------------------------//public void setData(int index,double data){if((index<0) || (index>1)){ throw new IndexOutOfBoundsException();}else{ this.data[index]= data; }//end else}//end setData method //--------------------------------------------------//}//end class ColMatrix //====================================================//public static class Point{GM2D02.ColMatrix point;Point(GM2D02.ColMatrix point){//constructor //Create and save a clone of the ColMatrix object// used to define the point to prevent the point // from being corrupted by a later change in the// values stored in the original ColMatrix object // through use of its set method.this.point = new ColMatrix(point.getData(0),point.getData(1));}//end constructor //--------------------------------------------------//public String toString(){ return point.getData(0) + "," + point.getData(1);}//end toString //--------------------------------------------------//public double getData(int index){if((index<0) || (index>1)){ throw new IndexOutOfBoundsException();}else{ return point.getData(index);}//end else }//end getData//--------------------------------------------------//public void setData(int index,double data){ if((index<0) || (index>1)){ throw new IndexOutOfBoundsException();}else{ point.setData(index,data);}//end else }//end setData//--------------------------------------------------////This method draws a small circle around the location // of the point on the specified graphics context.public void draw(Graphics2D g2D){ Ellipse2D.Double circle =new Ellipse2D.Double(getData(0)-3, getData(1)-3,6, 6);g2D.draw(circle); }//end draw//--------------------------------------------------// }//end class Point//====================================================//public static class Vector{ GM2D02.ColMatrix vector;Vector(GM2D02.ColMatrix vector){//constructor//Create and save a clone of the ColMatrix object // used to define the vector to prevent the vector// from being corrupted by a later change in the // values stored in the original ColMatrix object.this.vector = new ColMatrix( vector.getData(0),vector.getData(1));}//end constructor //--------------------------------------------------//public String toString(){ return vector.getData(0) + "," + vector.getData(1);}//end toString //--------------------------------------------------//public double getData(int index){if((index<0) || (index>1)){ throw new IndexOutOfBoundsException();}else{ return vector.getData(index);}//end else }//end getData//--------------------------------------------------//public void setData(int index,double data){ if((index<0) || (index>1)){ throw new IndexOutOfBoundsException();}else{ vector.setData(index,data);}//end else }//end setData//--------------------------------------------------////This method draws a vector on the specified graphics // context, with the tail of the vector located at a// specified point, and with a small circle at the // head.public void draw(Graphics2D g2D,GM2D02.Point tail){ Line2D.Double line = new Line2D.Double(tail.getData(0), tail.getData(1),tail.getData(0)+vector.getData(0), tail.getData(1)+vector.getData(1));//Draw a small circle to identify the head. Ellipse2D.Double circle = new Ellipse2D.Double(tail.getData(0)+vector.getData(0)-2, tail.getData(1)+vector.getData(1)-2,4, 4);g2D.draw(circle); g2D.draw(line);}//end draw //--------------------------------------------------//}//end class Vector //====================================================////A line is defined by two points. One is called the// tail and the other is called the head. public static class Line{GM2D02.Point[] line = new GM2D02.Point[2];Line(GM2D02.Point tail,GM2D02.Point head){ //Create and save clones of the points used to// define the line to prevent the line from being // corrupted by a later change in the coordinate// values of the points. this.line[0]= new Point(new GM2D02.ColMatrix( tail.getData(0),tail.getData(1)));this.line[1] = new Point(new GM2D02.ColMatrix(head.getData(0),head.getData(1))); }//end constructor//--------------------------------------------------// public String toString(){return "Tail = " + line[0].getData(0) + ","+ line[0].getData(1) + "\nHead = "+ line[1].getData(0) + ","+ line[1].getData(1);}//end toString //--------------------------------------------------//public GM2D02.Point getTail(){ return line[0]; }//end getTail//--------------------------------------------------//public GM2D02.Point getHead(){ return line[1]; }//end getHead//--------------------------------------------------//public void setTail(GM2D02.Point newPoint){ //Create and save a clone of the new point to// prevent the line from being corrupted by a // later change in the coordinate values of the// point. this.line[0]= new Point(new GM2D02.ColMatrix( newPoint.getData(0),newPoint.getData(1)));}//end setTail //--------------------------------------------------//public void setHead(GM2D02.Point newPoint){//Create and save a clone of the new point to // prevent the line from being corrupted by a// later change in the coordinate values of the // point.this.line[1] = new Point(new GM2D02.ColMatrix(newPoint.getData(0),newPoint.getData(1))); }//end setHead//--------------------------------------------------//public void draw(Graphics2D g2D){ Line2D.Double line = new Line2D.Double(getTail().getData(0), getTail().getData(1),getHead().getData(0),getHead().getData(1)); g2D.draw(line);}//end draw //--------------------------------------------------//}//end class Line //====================================================//}//end class GM2D02

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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