
Concept explainers
(Geometry: noncrossed polygon) Write a program that enables the user to add or remove points by clicking the left or light mouse button and displays a noncrossed polygon that links all the points, as shown in Figure 22.11a, A polygon is crossed if two or more sides intersect, as shown in Figure 22.11b. Use the following
FIGURE 22.11 (a)
Step 1: Given a set of points S, select the rightmost lowest point p0 in the set S.
Step 2: Sort the points in S angularly along the x-axis with p0 as the center. If there is a tie and two points have the same angle, the one that is closer to p0 is considered greater. The points in S are now sorted as p0, p1, p2, ..., Pn-1 .
Step 3: The sorted points form a noncrossed polygon.

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Chapter 22 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
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