A set is a collection of unique data. That is, elements of a set cannot be duplicate. For example,

Suppose we want to store information about **student IDs**. Since **student IDs** cannot be duplicate, we can use a set.

## Create a Set in Swift

Here's how we can create a set in Swift.

```
// create a set of integer type
var studentID : Set = [112, 114, 116, 118, 115]
print("Student ID: \(studentID)")
```

**Output**

Student ID: [112, 114, 115, 118, 116]

In the above example, notice the statement,

`var studentID : Set = [112, 114, 115, 118, 116]`

Here, the `Set`

keyword specifies that `studentID` is a set. Since all the elements of the set are integers, `studentID` is a set of `Int`

type.

However, we can also specify the type of set as

`var studentID : Set<Int> = [112, 114, 115, 116, 118]`

**Note**: When you run this code, you might get output in a different order. This is because the set has no particular order.

## Add Elements to a Set

We use the `insert()`

method to add the specified element to a set. For example,

```
var employeeID: Set = [21, 34, 54, 12]
print("Initial Set: \(employeeID)")
// using insert method
numbers.insert(32)
print("Updated Set: \(numbers)")
```

**Output**

Initial Set: [54, 21, 34, 12] Updated Set: [54, 21, 34, 12, 32]

In the above example, we have created a set named `employeeID`. Notice the line,

`numbers.insert(32)`

Here, `insert()`

adds **32** to our set.

## Remove an Element from a Set

We use the `remove()`

method to remove the specified element from a set. For example,

```
var languages: Set = ["Swift", "Java", "Python"]
print("Initial Set: \(languages)")
// remove Java from a set
let removedValue = languages.remove("Java")
print("Set after remove(): \(languages)")
```

**Output**

Initial Set: ["Python", "Java", "Swift"] Set after remove(): ["Python", "Swift"]

Similarly, we can also use

`removeFirst()`

- to remove the first element of a set`removeAll()`

- to remove all elements of a set

## Other Set Methods

Method | Description |
---|---|

`sorted()` |
sorts set elements |

`forEach()` |
performs the specified actions on each element |

`contains()` |
searches the specified element in a set |

`randomElement()` |
returns a random element from the set |

`firstIndex()` |
returns the index of the given element |

## Iterate Over a Set

We can use the for loop to iterate over the elements of a set. For example,

```
let fruits: Set = ["Apple", "Peach", "Mango"]
print("Fruits:")
// for loop to access each fruits
for fruit in fruits {
print(fruit)
}
```

**Output**

Fruits: Peach Mango Apple

## Find Number of Set Elements

We can use the `count`

property to find the number of elements present in a Set. For example,

```
let evenNumbers = [2,4,6,8]
print("Set: \(evenNumbers)")
// find number of elements
print("Total Elements: \(evenNumbers.count)")
```

**Output**

Set: [2, 6, 8, 4] Total Elements: 4

## Swift Set Operations

Swift Set provides different built-in methods to perform mathematical set operations like union, intersection, subtraction, and symmetric difference.

### 1. Union of Two Sets

The union of two sets **A** and **B** include all the elements of set **A** and **B**.

We use the `union()`

method to perform the set union operation. For example,

```
// first set
let setA: Set = [1, 3, 5]
print("Set A: ", setA)
// second set
let setB: Set = [0, 2, 4]
print("Set B: ", setB)
// perform union operation
print("Union: ", setA.union(setB))
```

**Output**

Set A: [1, 5, 3] Set B: [0, 2, 4] Union: [0, 5, 2, 4, 1, 3]

**Note**: `setA.union(setB)`

is equivalent to `A ⋃ B`

set operation.

### 2. Intersection between Two Sets

The intersection of two sets **A** and **B** include the common elements between set **A** and **B**.

We use the `intersection()`

method to perform the intersection between two sets. For example,

```
// first set
let setA: Set = [1, 3, 5]
print("Set A: ", setA)
// second set
let setB: Set = [1, 2, 3]
print("Set B: ", setB)
// perform intersection operation
print("Intersection: ", setA.intersection(setB))
```

**Output**

Set A: [5, 3, 1] Set B: [1, 2, 3] Intersection: [3, 1]

**Note**: `setA.intersection(setB)`

is equivalent to `A ⋂ B`

set operation.

### 3. Difference between Two Sets

The difference between two sets **A** and **B** include elements of set **A** that are not present on set **B**.

We use the `subtracting()`

method to perform the difference between two sets. For example,

```
// first set
let setA: Set = [2, 3, 5]
print("Set A: ", setA)
// second set
let setB: Set = [1, 2, 6]
print("Set B: ", setB)
// perform subtraction operation
print("Subtraction: ", setA.subtracting(setB))
```

**Output**

Set A: [3, 5, 2] Set B: [1, 6, 2] Subtraction: [3, 5]

**Note**: `setA.substracting(setB)`

is equivalent to `A - B`

set operation.

### 4. Symmetric Difference between Two Sets

The symmetric difference between two sets **A** and **B** includes all elements of **A** and **B** without the common elements.

We use the `symmetricDifference()`

method to perform symmetric difference between two sets. For example,

```
// first set
let setA: Set = [2, 3, 5]
print("Set A: ", setA)
// second set
let setB: Set = [1, 2, 6]
print("Set B: ", setB)
// perform symmetric difference operation
print("Symmetric Difference: ", setA.symmetricDifference(setB))
```

**Output**

Set A: [5, 2, 3] Set B: [2, 6, 1] Symmetric Difference: [1, 6, 3, 5]

### 5. Check Subset of a Set

Set **B** is said to be the subset of set **A** if all elements of **B** are also present in **A**.

We use the `Subset()`

method to check if one set is a subset of another or not. For example,

```
// first set
let setA: Set = [1, 2, 3, 5, 4]
print("Set A: ", setA)
// second set
let setB: Set = [1, 2]
print("Set B: ", setB)
// check if setB is subset of setA or not
print("Subset: ", setB.isSubset(of: setA))
```

**Output**

Set A: [3, 1, 2, 5] Set B: [1, 2] Subset: true

## Check if two sets are equal

We can use the `==`

operator to check whether two sets are equal or not. For example,

```
let setA: Set = [1, 3, 5]
let setB: Set = [3, 5, 1]
if setA == setB {
print("Set A and Set B are equal")
}
else {
print("Set A and Set B are different")
}
```

**Output**

Set A and Set B are equal

In the above example, `setA`

and `setB`

have the same elements, so the condition

`if setA == setB`

evaluates to `true`

. Hence, the statement `print("Set A and Set B are same")`

inside the `if`

is executed.

## Create an Empty Set

In Swift, we can also create an empty set. For example,

```
var emptySet = Set<Int>()
print("Set:", emptySet)
```

**Output**

Set: [ ]

It is important to note that, while creating an empty set, we must specify the data type inside the `<>`

followed by an initializer syntax `()`

.

Here, `<Int>()`

specifies that the empty set can only store integer data elements.