**C sets class** 1.0

The sets class can be used to perform set operations in your programs.

The sets class can be used to perform set operations in your programs. It represents set elements as bits in a private array of unsigned long integers. The array size is a defined constant which can be changed to suit your application.

**Software Specs**

**Publisher:**............ Abecedarical Systems

**License:**............... Freeware

**File size:**.............. 14 KB

**Downloads:**.........

**Release date:**...... 15 Jan 2001

**Last update:**........ 19 Apr 2014

## Publisher review for C sets class 1.0:

**Review by: **Abecedarical Systems

The sets class can be used to perform set operations in your programs. It represents set elements as bits in a private array of unsigned long integers. The array size is a defined constant which can be changed to suit your application.

The sets class supports the following set operations by means of C operator overloading:

union

The union of two sets A, B is the set of all elements which belong to either A or B. In the sets class, the symbol is the binary union operator:

A B = {x: x is in A -or- x is in B }

intersection

The intersection of two sets A, B is the set of all elements which belong to both A and B. The symbol * is the binary intersection operator:

A * B = {x: x is in A -and- x is in B }

example

Let A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. Then

A B = {1, 2, 3, 4, 5, 6}

A * B = {3, 4}

complement

In set theory, sets are subsets of a fixed universal set U. In the sets class, U is the set of elements numbered from 1 to MAX_WORDS * WORD_SIZE. In the class declaration file below, the following definitions are made:

#define MAX_WORDS 2

#define WORD_SIZE ( 8 * sizeof( unsigned long ) )

These parameters make the range of U, 1 to 64 in sets. To increase or decrease the size of U, change the defined value of MAX_WORDS.

The complement of set A is the set of elements belonging to U but not belonging to A. The symbol ~ is the unary complement operator:

~A = {x: x is in U, x is not in A }

example

Let A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. Then

~A = {5, 6, 7, . . .}

~B = {1, 2, 7, 8, 9, . . .}

difference

The difference of two sets A, B is the set of all elements which belong to A less those in B. The symbol - is the binary difference operator:

A - B = {x: x is in A, x is not in B}

example

Let A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. Then

A - B = {1, 2}

It can be shown that A - B = A * ~B.

symmetric difference

The symmetric difference of two sets A, B is the set of all elements which belong to A or to B, but not both.**Requirements:**

C/C compiler**Operating system:**

Windows 8, Windows 7, Windows Vista, Windows XP, Windows 2000, Windows 98

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