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In this module, I will present and explain several updates to the game-math library. In addition, I will present and explain five sampleprograms that illustrate the use of the new features of the library.

I will also provide exercises for you to complete on your own at the end of the module. The exercises will concentrate on the material that you have learnedin this module and previous modules.

Discussion and sample code

The game-math library was updated and the name was changed to GM2D04 in preparation for this module. Much of the code in the updated library remains unchanged. I explained that code in the previousmodules and I won't repeat that explanation in this module. I will concentrate on explaining the modifications that I made to the library inthis module.

The game-math library named GM2D04

A complete listing of the library program is provided in Listing 19 near the end of the module.

This update added the following new capabilities to the library:

  • GM2D04.Vector.add - Adds this Vector object to a Vector object received as an incoming parameter and returns the sum as a new Vector object.
  • GM2D04.Vector.getLength - Returns the length of a Vector as type double .
  • GM2D04.Point.addVectorToPoint - Adds a Vector object to a Point object returning a new Point object.

These three new methods are presented in Listing 1 , Listing 2 , and Listing 3 below. These methods are so simple that no explanation should be required foryou to understand them.

Listing 1 . The add method of the GM2D04.Vector class.
//Adds this vector to a vector received as an incoming // parameter and returns the sum as a vector.public GM2D04.Vector add(GM2D04.Vector vec){ return new GM2D04.Vector(new ColMatrix(vec.getData(0)+vector.getData(0), vec.getData(1)+vector.getData(1)));}//end add
Listing 2 . The getLength method of the GM2D04.Vector class.
//Returns the length of a Vector object. public double getLength(){return Math.sqrt( getData(0)*getData(0) + getData(1)*getData(1));}//end getLength
Listing 3 . The addVectorToPoint method of the GM2D04 class.
//Adds a Vector to a Point producing a new Point. public GM2D04.Point addVectorToPoint(GM2D04.Vector vec){ return new GM2D04.Point(new GM2D04.ColMatrix(getData(0) + vec.getData(0), getData(1) + vec.getData(1)));}//end addVectorToPoint

Simple but powerful

Although these new methods are individually very simple, when combined with the other methods in the library, they significantly increase the power of thelibrary. For example, in the next module I will show you that the library in its current form supports translation and animation.

I will illustrate the use of these new methods in the sample programs that follow.

The program named VectorAdd01

This program illustrates the addition of two and then three vectors. It also illustrates the head-to-tail rule described by Kjell. A complete listing of the program is provided in Listing 20 near the end of the module.

Screen output from the program named VectorAdd01

Questions & Answers

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
I know this work
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
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?
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
I'm not sure why it wrote it the other way
I got X =-6
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
is it a question of log
I rally confuse this number And equations too I need exactly help
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Commplementary angles
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im all ears I need to learn
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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
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Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
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
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
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what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
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
what is system testing
what is the application of nanotechnology?
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
anybody can imagine what will be happen after 100 years from now in nano tech world
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
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
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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