<< Chapter < Page Chapter >> Page >

Preview

In this module, I will present and explain four programs that use the game-math library named GM2D04 . The purpose of the first program named VectorAdd05 is to use the addVectorToPoint method of the GM2D04.Point class to translate a geometric object from one location in space to a different location in space.

The purpose of the program named VectorAdd05a is to accomplish the same translation operation, but in a possibly more efficientmanner.

The purpose of the program named VectorAdd06 is to teach you how to do rudimentary animation using the game-math library.

The purpose of the program named StringArt01 is to teach you how to use methods of the game-math library to produce relatively complexdrawings.

All of the programs are interactive in that they provide a GUI that allows the user to modify certain aspects of the behavior of the program.

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

Discussion and sample code

The game-math library named GM2D04

The game-math library that we are developing in this collection of modules has undergone several updates since its inception in the first module. The versionof the library that existed at the end of the previous module was named GM2D04 . No revisions have been made to the library since that module and we won't be makingany revisions during this module.

The source code for the library named GM2D04 is provided for your convenience in Listing 17 near the end of the module. Documentation for the library was provided in the earlier module titled GAME 2302-0125: Vector Addition .

The program named VectorAdd05

The main purpose of this program is to use the addVectorToPoint method of the GM2D04.Point class in the game-math library to translate a geometric object from one location in space to a different location in space.This is illustrated in Figure 1 , which shows one hexagon (shown in black) having been translated by 50 units in both the x and y directions and coloredred at the new location.

Figure 1 Translation of black hexagon to location of red hexagon.

Missing image.

Various other game-math library methods are also used

Along the way, the program uses various other methods of the classes in the game-math library named GM2D04 to accomplish its purpose.

The program initially constructs and draws a black hexagon centered on the origin as shown in Figure 1 . The six points that define the vertices of the hexagon lie on a circle with a radius of 50 units. The points at the verticesand the lines that connect the points are drawn. In addition, the program causes the hexagon to be translated by 50 units in the positive X direction and 50units in the positive Y direction. The translated hexagon is drawn in red. The original black hexagon is not erased when the translated version is drawn in red.

A graphical user interface (GUI)

A GUI is provided that allows the user to specify the following items and click a Replot button to cause the drawing to change:

Questions & Answers

What is inflation
Bright Reply
a general and ongoing rise in the level of prices in an economy
AI-Robot
What are the factors that affect demand for a commodity
Florence Reply
price
Kenu
differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
hi guys good evening to all
Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




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
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Game 2302 - mathematical applications for game development' conversation and receive update notifications?

Ask