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Chapter 22, Problem 22.15PE

(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 algorithm to construct a polygon from a set of points:

FIGURE 22.11 (a) Programming Exercise 22.15 displays a noncrossed polygon for a set of points. Source: Copyright © 1995–2016 Oracle and/or its affiliates. All rights reserved. Used with permission. (b) Two or more sides intersect in a crossed polygon.

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.

Chapter 22, Problem 22.15PE, (Geometry: noncrossed polygon) Write a program that enables the user to add or remove points by

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Chapter 22 Solutions

MyLab Programming with Pearson eText -- Access Card -- for Introduction to Java Programming and Data Structures, Comprehensive Version

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