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Write a library of static methods that performs various geometric transforms on polygons. Mathematically, a polygon is defined by its sequence of vertices (xo, y o), (x 1. Y 1), (x 2, Y 2), ... In Java, we will represent a polygon by storing the x- and y-coordinates of the vertices in two parallel arrays x[] and y(]. Three useful geometric transforms are scale, translate and rotate. o Scale the coordinates of each vertex (x , y ) by a factor a. o x; = ax o y;=an o Translate each vertex (x ;, y ) by a given offset (dx, dy). o xi = x + dx o yi=+ dy o Rotate each vertex (x , Y ) by 0 degrees counterclockwise, around the origin. o x; = x; cos e - y, sin e o yi=y cos e + x; sin e Write a two-dimensional transformation library by implementing the following API:

Write a library of static methods that performs various geometric transforms on polygons. Mathematically, a polygon is defined by its sequence of vertices (xo, y o), (x 1. Y 1), (x 2, Y 2), ... In Java, we will represent a polygon by storing the x- and y-coordinates of the vertices in two parallel arrays x[] and y(]. Three useful geometric transforms are scale, translate and rotate. o Scale the coordinates of each vertex (x , y ) by a factor a. o x; = ax o y;=an o Translate each vertex (x ;, y ) by a given offset (dx, dy). o xi = x + dx o yi=+ dy o Rotate each vertex (x , Y ) by 0 degrees counterclockwise, around the origin. o x; = x; cos e - y, sin e o yi=y cos e + x; sin e Write a two-dimensional transformation library by implementing the following API:

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Write a library of static methods that performs various geometric transforms on polygons. Mathematically, a polygon is defined by its sequence of vertices (xo, y o), (x 1, y 1), (x 2, y 2), ... In Java, we will represent a polygon by storing the x- and y-coordinates of the vertices in two parallel arrays x[] and y[]. Three useful geometric transforms are scale, translate and rotate. o Scale the coordinates of each vertex (x, y ) by a factor a. o X;= a Xi o y;=ay o Translate each vertex (x , y ) by a given offset (dx, dy). o X; = X; + dx o yj=y+ dy o Rotate each vertex (x , y) by 0 degrees counterclockwise, around the origin. O X; = X; Cos 0 – y sin e o y;= y cos 0 + x; sin e Write a two-dimensional transformation library by implementing the following API:
Transcribed Image Text:Write a library of static methods that performs various geometric transforms on polygons. Mathematically, a polygon is defined by its sequence of vertices (xo, y o), (x 1, y 1), (x 2, y 2), ... In Java, we will represent a polygon by storing the x- and y-coordinates of the vertices in two parallel arrays x[] and y[]. Three useful geometric transforms are scale, translate and rotate. o Scale the coordinates of each vertex (x, y ) by a factor a. o X;= a Xi o y;=ay o Translate each vertex (x , y ) by a given offset (dx, dy). o X; = X; + dx o yj=y+ dy o Rotate each vertex (x , y) by 0 degrees counterclockwise, around the origin. O X; = X; Cos 0 – y sin e o y;= y cos 0 + x; sin e Write a two-dimensional transformation library by implementing the following API:
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