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Mathematics for Game Programming and Computer Graphics

You're reading from   Mathematics for Game Programming and Computer Graphics Explore the essential mathematics for creating, rendering, and manipulating 3D virtual environments

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Product type Paperback
Published in Nov 2022
Publisher Packt
ISBN-13 9781801077330
Length 444 pages
Edition 1st Edition
Languages
Tools
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Author (1):
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Penny de Byl Penny de Byl
Author Profile Icon Penny de Byl
Penny de Byl
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Toc

Table of Contents (26) Chapters Close

Preface 1. Part 1 – Essential Tools
2. Chapter 1: Hello Graphics Window: You’re On Your Way FREE CHAPTER 3. Chapter 2: Let’s Start Drawing 4. Chapter 3: Line Plotting Pixel by Pixel 5. Chapter 4: Graphics and Game Engine Components 6. Chapter 5: Let’s Light It Up! 7. Chapter 6: Updating and Drawing the Graphics Environment 8. Chapter 7: Interactions with the Keyboard and Mouse for Dynamic Graphics Programs 9. Part 2 – Essential Trigonometry
10. Chapter 8: Reviewing Our Knowledge of Triangles 11. Chapter 9: Practicing Vector Essentials 12. Chapter 10: Getting Acquainted with Lines, Rays, and Normals 13. Chapter 11: Manipulating the Light and Texture of Triangles 14. Part 3 – Essential Transformations
15. Chapter 12: Mastering Affine Transformations 16. Chapter 13: Understanding the Importance of Matrices 17. Chapter 14: Working with Coordinate Spaces 18. Chapter 15: Navigating the View Space 19. Chapter 16: Rotating with Quaternions 20. Part 4 – Essential Rendering Techniques
21. Chapter 17: Vertex and Fragment Shading 22. Chapter 18: Customizing the Render Pipeline 23. Chapter 19: Rendering Visual Realism Like a Pro 24. Index 25. Other Books You May Enjoy

Answers

Exercise A:

screen.set_at((x, y), pygame.Color(0, int(x/1000 * 255),
                   int(y/800 * 255)))

Exercise B:

y = 8x + 0.5

Exercise C:

For another line of text with a different font, you will need to declare two fonts and two texts like this:

font1 = pygame.font.Font('fonts/Authentic Sheldon.ttf', 120)
font2 = pygame.font.Font('fonts/PinkChicken-Regular.ttf', 120)
text1 = font1.render('Penny de Byl', False, white)
text2 = font2.render('Another line of text', False, white)

Then, inside the while loop, blit both:

screen.blit(text1, (10, 10))
screen.blit(text2, (10, 100))

Exercise D:

import pygame
from pygame.locals import *
pygame.init()
screen_width = 800
screen_height = 800
screen = pygame.display.set_mode((screen_width, screen_height))
pygame.display.set_caption('Triangle Clicker')
done = False...
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