C + + sets class V1.0

C + + sets class 1.0

C + + sets class 1.0

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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. ..

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a0a.info Editor: C + + sets class - 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.

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