1.5 Game 2302-0115: working with column matrices, points, and

Table of contents

• Preface
  • Viewing tip
    • Figures
    • Listings
• Preview
• Discussion and sample code
  • The game-math library named GM2D03
  • The sample program named ColMatrixEquals01
  • The sample program named DisplacementVector01
  • The sample program named ColMatrixAddSubtract01
• Documentation for the GM2D03 library
• Homework assignment
• Run the programs
• Summary
• What's next?
• Miscellaneous
• Complete program listings
• Exercises
  • Exercise 1
  • Exercise 2
  • Exercise 3

Preface

This module is one in a series 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 provide new capabilities including the addition of graphics and set methods for column matrices, points, vectors, and lines. You also learned how to draw onoff-screen images.

What you will learn

In this module, you will learn how to compare column matrices for equality, compare two points for equality, compare two vectors for equality, add onecolumn matrix to another, subtract one column matrix from another, and get a displacement vector from one point to another.

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 . Screen output from the program named ColMatrixEquals01.
• Figure 2 . Screen output from the program named DisplacementVector01.
• Figure 3 . Screen output from the program named ColMatrixAddSubtract01.
• Figure 4 . Text output from Exercise 1.
• Figure 5 . Text output from Exercise 2.
• Figure 6 . Text output from Exercise 3.

Listings

• Listing 1 . Overridden equals method of the GM2D03.ColMatrix class.
• Listing 2 . Overridden equals method of the GM2D03.Point class.
• Listing 3 . The getColMatrix method of the GM2D03.Point class.
• Listing 4 . Beginning of the ColMatrixEquals01 class.
• Listing 5 . Remainder of the ColMatrixEquals01 class.
• Listing 6 . The getDisplacementVector method of the GM2D03.Point class.
• Listing 7 . The program named DisplacementVector01.
• Listing 8 . Source code for the program named ColMatrixAddSubtract01.
• Listing 9 . Source code for the add method of the GM2D03.ColMatrix class.
• Listing 10 . Source code for the subtract method of the GM2D03.ColMatrix class.
• Listing 11 . Source code for game-math library named GM2D03.
• Listing 12 . Source code for the program named ColMatrixEquals01.
• Listing 13 . Source code for the program named DisplacementVector01.
• Listing 14 . Source code for the program named ColMatrixAddSubtract01.

Preview

As mentioned earlier, in this module you will learn how to:

• Compare two column matrices for equality.
• Compare two points for equality.
• Compare two vectors for equality.
• Add one column matrix to another.
• Subtract one column matrix from another.
• Get a displacement vector from one point to another.