Consider a square region in the first quadrant of the Cartesian plane whose bottom left and upper right corners have coordinates (0,0) and (100,100), respectively. A text file contains a sequence of rectangles, one per line, with sides parallel to the Cartesian axes. Each rectangle is identified by the x and y coordinates of the bottom left and upper right corners, reported with spaces as separators. The coordinates are integers between 0 and 100, with extremes included. Write a function: int arealntersection(FILE * fp); that receives as a parameter a pointer to the file (already open) and returns the total area of the intersecting regions (that is, the area of the regions that are covered by at least two rectangles) Example of execution: (for the sake of simplicity, we report a smaller region with x and y coordinates in the interval 0..10) y 4 5 6 7 8 9 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider a square region in the first quadrant of the Cartesian plane whose bottom left and upper
right corners have coordinates (0,0) and (100,100), respectively. A text file contains a sequence of
rectangles, one per line, with sides parallel to the Cartesian axes. Each rectangle is identified by
the x and y coordinates of the bottom left and upper right corners, reported with spaces as
separators. The coordinates are integers between 0 and 100, with extremes included. Write a
function:
int arealntersection(FILE * fp);
that receives as a parameter a pointer to the file (already open) and returns the total area of the
intersecting regions (that is, the area of the regions that are covered by at least two rectangles)
Example of execution: (for the sake of simplicity, we report a smaller region with x and y
coordinates in the interval 0..10)
y
10
6.
4.
3.
2.
0 1 2 3 4 5 6 7 8 9 10
If the file of the example contains 1 244 on the first line (see light-grey rectangle) and 3 358 in
the second line (see dark-grey rectangle), the total area returned by the function should be 1.
Transcribed Image Text:Consider a square region in the first quadrant of the Cartesian plane whose bottom left and upper right corners have coordinates (0,0) and (100,100), respectively. A text file contains a sequence of rectangles, one per line, with sides parallel to the Cartesian axes. Each rectangle is identified by the x and y coordinates of the bottom left and upper right corners, reported with spaces as separators. The coordinates are integers between 0 and 100, with extremes included. Write a function: int arealntersection(FILE * fp); that receives as a parameter a pointer to the file (already open) and returns the total area of the intersecting regions (that is, the area of the regions that are covered by at least two rectangles) Example of execution: (for the sake of simplicity, we report a smaller region with x and y coordinates in the interval 0..10) y 10 6. 4. 3. 2. 0 1 2 3 4 5 6 7 8 9 10 If the file of the example contains 1 244 on the first line (see light-grey rectangle) and 3 358 in the second line (see dark-grey rectangle), the total area returned by the function should be 1.
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