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Learn how to write your first interactive 3D game using the game-math library. Also learn how to write a Java program that simulates flocking behavior such as that exhibited by birds and fish and how to incorporate that behavior in a game.

Table of contents

Preface

This module is one in a collection of modules designed for teaching GAME2302 Mathematical Applications for Game Development at Austin Community College in Austin, TX.

What you have learned

In the previous module, you learned how to update the game-math library to support 3D math, how to program the equations for projecting a 3D world onto a2D plane, how to add vectors in 3D, about scaling, translation, and rotation of a point in both 2D and 3D, about the rotation equations and how to implementthem in both 2D and 3D, and much more.

What you will learn

In this module, you will learn how to write your first interactive 3D game using the game-math library named GM01 . You will also learn how to write a Java program that simulates flocking behavior such as that exhibited by birdsand fish and how to incorporate that behavior into a game. Finally, you will examine three other programs that illustrate various aspects of both 2D and 3Danimation using the game-math library.

Viewing tip

I recommend that you open another copy of this module in a separate browser window and use the following links to easily find and view the Figuresand Listings while you are reading about them.

Figures

  • Figure 1 . A school of red prey fish being attacked by a blue predator.
  • Figure 2 . Screen shot of the graphic output from GM01test04.
  • Figure 3 . Screen shot of the graphic output from GM01test03.
  • Figure 4 . Screen shot of the graphic output from StringArt04.
  • Figure 5 . Prey fish in a large swirling cluster.
  • Figure 6 . Formation starting to break up due to closeness of the predator.
  • Figure 7 . 100 prey fish trying to occupy the same location in 3D space.
  • Figure 8 . 100 prey fish maintaining a reasonable separation in 3D space.
  • Figure 9 . Twelve predators swimming in a hexagon formation in GM01test04.
  • Figure 10 . Six predators swimming in a diamond formation.
  • Figure 11 . Screen output from Exercise 1.
  • Figure 12. Screen output from Exercise 4.
  • Figure 13 . Screen output from Exercise 5.

Listings

  • Listing 1 . Abbreviated constructor for the GUI class in GM01test08.
  • Listing 2 . Beginning of the actionPerformed method in GM01test08.
  • Listing 3 . Code that services the Attack button.
  • Listing 4 . Code that services the Stop button.
  • Listing 5 . Beginning of the Animate class and the run method.
  • Listing 6 . Create the population of prey fish.
  • Listing 7 . Create and position the predator object.
  • Listing 8 . A few more housekeeping details.
  • Listing 9 . Beginning of the animation loop.
  • Listing 10 . Cause all of the prey fish to spiral toward the center.
  • Listing 11 . Create a rotated vector.
  • Listing 12 . Move the prey fish object based on the sum of the vectors.
  • Listing 13 . Save a clone of the relocated prey fish object.
  • Listing 14 . Save a normalized direction vector.
  • Listing 15 . Code for when the population contains only one prey fish.
  • Listing 16 . Separate the prey fish.
  • Listing 17 . The remainder of the inner loop.
  • Listing 18 . Save the primary prey fish object and do another iteration.
  • Listing 19 . Prey fish objects react to the predator.
  • Listing 20 . Prey fish object takes evasive action.
  • Listing 21 . Test the separation again.
  • Listing 22 . Restore the prey fish to the population.
  • Listing 23 . Keep the prey fish in the playing field.
  • Listing 24 . Erase the off-screen image and draw the large circle.
  • Listing 25 . Draw the prey fish on the off-screen image.
  • Listing 26 . Cause the predator to slowly circle the cluster of prey fish.
  • Listing 27 . Execute the attack.
  • Listing 28 . Draw the predator on the off-screen image.
  • Listing 29 . Copy off-screen image, insert time delay, etc.
  • Listing 30 . Source code for the game-math library named GM01.
  • Listing 31 . Source code for the game program named GM01test08.
  • Listing 32 . Source code for the program named GM01test04.
  • Listing 33 . Source code for the program named GM01test03.
  • Listing 34 . Source code for the program named StringArt04.

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir 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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