Algebra of Sets is an application developed for an assignment of a Discrete Mathematics class. It implements the basic operations related to sets.
- C Language
- CLion IDE
The program will search for a file called set.txt, that have to be with the executable code, or in the folder before. The file structure should be one of these that follows:
project
│ executable.exe
│ set.txt
│
or
project
│ set.txt
│
└───folder
│ executable.exe
│
The file set.txt have to be written in a specific format so the program can function.
Each line of this file should contain a definition of a Set or Element.
- For
Sets, use:
A = {1, 87, 4, -1, 43}
A single capitalized letter, followed by an equal sign, open brackets, n elements separated by a comma, close brackets.
- For
Elements, use:
b = 30
A single non capitalized letter, an equal sign, a value
Spaces are disconsidered.
When the program starts, it shows the Sets and Elements founded in the file set.txt.
------------------------------------------------
SETS:
A = {1, 3, 5}
B = {1, 2, 4}
ELEMENTS:
b = 2
------------------------------------------------
With these, you can choose one of the following operations and executing them accordingly to the operator assigned to it:
| OPERATION | OPERATOR |
|---|---|
| Union | + |
| Subtraction | - |
| Intersection | * |
| Belongs | < |
| Does not belong | > |
| Subset | ( |
| Not Subset | ) |
| Proper subset | [ |
| Not proper subset | ] |
| Cartesian Product | x |
| Powerset | P() |
Each of these operators has adequate syntax and semantic usage.
Given sets A = {1, 3, 5} and B = {1, 2, 4}, then:
------------------------------------------------
OPERATION STRING: A+B
------------------------------------------------
SOLUTION: {1, 3, 5, 2, 4}
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For further information visit the Wiki.