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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

encoding is the last step in memory stracture
FARWA Reply
echoic memory reflect humans visual system
FARWA Reply
getting the information back from stored area of brain is called retrieval
FARWA
no , echoic memory reflect upon things you hear , that's Iconic memory which deals with visual information
Nancy
I'll be studying psychology soon. Where do I start?
Jane Reply
I would start by learning basic terminology and definitions cause there's a lot of it and learning the different concepts behind psychology and there meanings and there use then go onto introduction into psychology
why is psychology a science?
Godslove Reply
it's a social science
Alex
what we define as science is a systematic arrangement of knowledge based on experimental and observational data.so psychology is a science. as for what kind of science it is depends on how and what information are you using in your approach towards understanding the said data and to what conclusion.
imirror
depending on your approach and understanding Psychology can classify as medical or social science like anthropology
imirror
your friend is under stress because she has not prepared well for the examination what strategies would you suggest her? express in 100 or 150 words
Masi Reply
hello
Masi
yess
dcs
where on the disorders does paranoid thought come in?
Hot Reply
hot shots will give you paranoid thoughts
Kimberly
Kimberly 😂😆😂 yes hot shots will give you paranoid thoughts
Brandon
what compound motivation is attention extension
Gauri Reply
what is psychology
Drishti Reply
The scientific study of the mind
Gina
scientific study of mind and behaviour
Siva
...
Saeed
Scientific study of mind soul behaviour and experiences
Ayush
scientific srtudy of behaviour and cognitive processes
Reshmi
Apply social psychology on real life in Nigerian universities campus
tyosaa Reply
what is the meaning of an idiosyncratic pattern
Krystle Reply
I am here for the first time just here to learn...
michael Reply
hi I'm new on here first time
Lisa
hello
GOPAL
hi,am new here
jennifer
what is this group all about
jennifer
Suppose an individual with OCD experiences obsessive thoughts about germs, contamination, and disease whenever she encounters a doorknob. What might have constituted a viable unconditioned stimulus? 
la Reply
What are factors that influence learning?
Enos Reply
Environment Heredity(I am not sure about heredity)
Tusita
Helpful. .. thanks
Enos
Sure, anytime
Tusita
I have other questions also
Enos
Based on the factors affecting learning, how do we improve learning
Enos
I think that addressing that everyone learns in their own time
James
Peer group influence can also be another reason
Sorie
Also knowing what's going on at home. what pressure are the parents putting on them.
James
am I close or no
James
also is there a lack of care? going one more step. with peer groups do an activity that shows how much they have in common
James
I think one's society has a big role to play in determining what/when & how he/she learns.
BECHEM
multiple reasons at different stages. at the earliest stages of development in a child is behaviour of people around. A baby starts learning basic social expressions and actions by mimicking the people around it. further social and cultural practices enforces learning and behaviour
imirror
from need to nutrition everything affect development and learning when choosing on a single factor of influence it is necessary to keep these other factors in the mind as environment around people is very plastic and flexible and there are many variables playing active role
imirror
social interaction is surely a big influence hence can be used to improve learning.
imirror
to encourage learning it is important to establish curiosity and notion of possibility for more perspectives habit of questioning possibilities and cause and effect in a great way to encourage learning in my opinion. language is another important factor
imirror
under what schedule of reinforcement do animals learn from ?
Phelisa Reply
the role of emotional intelligence in a courtship behavior
Caren Reply
1
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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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