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Listing 15 . Source code for the program named PointLine02.

/*PointLine02.java Copyright 2008, R.G.BaldwinThe purpose of this program is to introduce the use of a game-math class library named GM2D01. The class nameGM2D01 is an abbreviation for GameMath2D01. The program instantiates objects from the following statictop-level classes belonging to the class named GM2D01 and then displays the contents of those objects in twodifferent ways on the standard output device. ColMatrixPoint VectorLine Tested using JDK 1.6 under WinXP.*********************************************************/ class PointLine02{public static void main(String[] args){System.out.println( "Instantiate and display the contents\n"+ "of a new ColMatrix object"); GM2D01.ColMatrix colMatrix =new GM2D01.ColMatrix(2.5,6.8); System.out.println(colMatrix);try{ System.out.println(colMatrix.getData(0));System.out.println(colMatrix.getData(1)); //This statement will throw an exception on purposeSystem.out.println(colMatrix.getData(2)); }catch(Exception e){System.out.println("Bad index"); }//end catchSystem.out.println(/*blank line*/); System.out.println("Instantiate and display the contents\n" + "of a new Point object");colMatrix = new GM2D01.ColMatrix(3.4,9.7); GM2D01.Point point = new GM2D01.Point(colMatrix);System.out.println(point); try{System.out.println(point.getData(0)); System.out.println(point.getData(1));//This statement will throw an exception on purpose System.out.println(point.getData(-1));}catch(Exception e){ System.out.println("Bad index");}//end catchSystem.out.println(/*blank line*/); System.out.println("Instantiate and display the contents\n" + "of a new Vector object");colMatrix = new GM2D01.ColMatrix(-1.9,7.5); GM2D01.Vector vector = new GM2D01.Vector(colMatrix);System.out.println(vector); try{System.out.println(vector.getData(0)); System.out.println(vector.getData(1));//This statement will throw an exception on purpose System.out.println(vector.getData(2));}catch(Exception e){ System.out.println("Bad index");}//end catchSystem.out.println(/*blank line*/); System.out.println("Instantiate and display the contents\n" + "of a new Line object");GM2D01.ColMatrix colMatrixTail = new GM2D01.ColMatrix(1.1,2.2);GM2D01.ColMatrix colMatrixHead = new GM2D01.ColMatrix(3.3,4.4);GM2D01.Point pointTail =new GM2D01.Point(colMatrixTail); GM2D01.Point pointHead =new GM2D01.Point(colMatrixHead);GM2D01.Line line = new GM2D01.Line(pointTail,pointHead);System.out.println(line); pointTail = line.getTail();System.out.println(pointTail); pointHead = line.getHead();System.out.println(pointHead); }//end main}//end controlling class PointLine02

Listing 16 . Source code for the game-programming math library named GM2D01.

/*GM2D01.java Copyright 2008, R.G.BaldwinThe name GM2D01 is an abbreviation for GameMath2D01. This is a game-math class, which will be expanded overtime. The class is provided solely for educational purposes. No effort has been expended to optimize it inany way. Rather, it was designed and implemented for maximum clarity in order to help students understandthe programming details of various mathematical operations commonly used in game programming.Each time the class is expanded or modified, it will be given a new name by incrementing the two digits at theend of the name. No attempt will be made to maintain backward compatibility from one version of the class tothe next. This class contains a number of static top-level classes.This organizational approach was used primarily for the purpose of gathering such classes under a single namingumbrella while avoiding name conflicts within a single package. For example, as time passes, and this library isexpanded, my default package may contain class files with the following names:GM2D01$Point.class GM2D02$Point.classGM2D03$Point.class All real-number values used in this class are maintainedas type double. Tested using JDK 1.6 under WinXP.*********************************************************/ public class GM2D01{//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){data[0] = data0;data[1] = data1;}//end constructorpublic String toString(){ return data[0]+ "," + data[1];}//end overridden toString methodpublic double getData(int index){ if((index<0) || (index>1)) throw new IndexOutOfBoundsException();return data[index];}//end getData}//end class ColMatrix //====================================================//public static class Point{GM2D01.ColMatrix point;Point(GM2D01.ColMatrix point){ this.point = point;}//end constructorpublic String toString(){ return point.getData(0) + "," + point.getData(1);}//end toStringpublic double getData(int index){ if((index<0) || (index>1)) throw new IndexOutOfBoundsException();return point.getData(index); }//end getData}//end class Point//====================================================//public static class Vector{ GM2D01.ColMatrix vector;Vector(GM2D01.ColMatrix vector){this.vector = vector; }//end constructorpublic String toString(){return vector.getData(0) + "," + vector.getData(1); }//end toStringpublic double getData(int index){if((index<0) || (index>1)) throw new IndexOutOfBoundsException();return vector.getData(index); }//end getData}//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{ GM2D01.Point[]line = new GM2D01.Point[2];Line(GM2D01.Point tail,GM2D01.Point head){this.line[0] = tail;this.line[1] = head;}//end constructorpublic String toString(){ return "Tail = " + line[0].getData(0) + "," + line[0].getData(1) + "\nHead = " + line[1].getData(0) + "," + line[1].getData(1); }//end toStringpublic GM2D01.Point getTail(){return line[0];}//end getTailpublic GM2D01.Point getHead(){ return line[1]; }//end getTail}//end class Line}//end class GM2D01

Exercises

Exercise 1

Without using the game math library, use the programming environment of your choice to write a program that drawsa diagonal line from the upper-left to the lower-right corner of a window as shown in Figure 7 .

Figure 7 Graphic output from Exercise 1.

Missing image.

Exercise 2

Using Java and the game math library named GM2D01 , write a program that:

  • Creates a new GM2D01.Point object with coordinate values of 3.4 and 9.7.
  • Uses the overridden toString method to get and display the location of the point in 2D space in the format shown by the first lineof text in Figure 8 .
  • Uses the getData method to get and display the location of the point in 2D space in the format shown by the last two lines of text in Figure 8 .

Your screen output should display numeric values in the format shown in Figure 8 where each ? character represents a single digit.

Figure 8 . Text output from Exercise 2.
?.?,?.? ?.??.?

Exercise 3

Using Java and the game math library named GM2D01 , write a program that:

  • Represents a line segment using a GM2D01.Line object with the ends of the line segment being located at the followingcoordinates:
    • x=2.2, y=5.3
    • x=5.2, y=9.3
  • Displays the information shown in Figure 9 to describe the line segment.

Your screen output should display numeric values in the format shown in Figure 9 where each ? character represents a single digit. (Note that the number of digits to the right of the decimal point in the last line of text may be greateror less than that shown in Figure 9 .)

Figure 9 . Text output from Exercise 3.
Tail = ?.?,?.? Head = ?.?,?.?Length = ?.???

-end-

Questions & Answers

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
Abhi
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
hmm
Abhi
is it a question of log
Abhi
🤔.
Abhi
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
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Tamia
hii
Uday
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele 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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