GRAPHICS PROBLEMS

Graphics problems typically focus on your ability to implement primitive graphics functions rather than using a high-level API as you would in most programming projects.

Eighth of a Circle

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PROBLEM

Write a function that draws the upper-eighth of a circle centered at (0, 0) with a given radius, where the upper-eighth is defined as the portion starting at 12 and going to 1:30 on a clock face. Use the following prototype:

void drawEighthOfCircle( int radius );

The coordinate system and an example of what you are to draw are shown in Figure 14-1. You can use a function with the following prototype to draw pixels:

void setPixel( int xCoord, int yCoord );

FIGURE 14-1

This problem is not as contrived as it seems. If you were trying to implement a full-circle drawing routine, you would want to do as little calculation as possible to maintain optimum performance. Given the pixels for one-eighth of a circle, you can easily determine the pixels for the remainder of the...