Set

The set in python can be defined as the unordered collection of various items enclosed within the curly braces. The elements of the set can not be duplicate. The elements of the python set must be immutable.

Unlike other collections in python, there is no index attached to the elements of the set, i.e., we cannot directly access any element of the set by the index. However, we can print them all together or we can get the list of elements by looping through the set.

Creating a set

The set can be created by enclosing the comma separated items with the curly braces. Python also provides the set method which can be used to create the set by the passed sequence.

using curly braces

Days = {"Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday", "Sunday"}
print(Days)
print(type(Days))
print("looping through the set elements ... ")
for i in Days:
	print(i)

using set() method

Days = set(["Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday", "Sunday"])
print(Days)
print(type(Days))
print("looping through the set elements ... ")
for i in Days:
	print(i)

Python Set operations

In the previous example, we have discussed about how the set is created in python. However, we can perform various mathematical operations on python sets like union, intersection, difference, etc.

Adding items to the set

Python provides the add() method which can be used to add some particular item to the set. Consider the following example.

Months = set(["January","February", "March", "April", "May", "June"])
print("\nprinting the original set ... ")
print(Months)
print("\nAdding other months to the set...");
Months.add("July");
Months.add("August");
print("\nPrinting the modified set...");
print(Months)
print("\nlooping through the set elements ... ")
for i in Months:
	print(i)

To add more than one item in the set, Python provides the update() method.

Consider the following example.

Months = set(["January","February", "March", "April", "May", "June"])
print("\nprinting the original set ... ")
print(Months)
print("\nupdating the original set ... ")
Months.update(["July","August","September","October"]);
print("\nprinting the modified set ... ") 
print(Months);

Removing items from the set

Python provides discard() method which can be used to remove the items from the set.

Consider the following example.

Months = set(["January","February", "March", "April", "May", "June"])
print("\nprinting the original set ... ")
print(Months)
print("\nRemoving some months from the set...");
Months.discard("January");
Months.discard("May");
print("\nPrinting the modified set...");
print(Months)
print("\nlooping through the set elements ... ")
for i in Months:
	print(i)

Python also provide the remove() method to remove the items from the set. Consider the following example to remove the items using remove() method.

Months = set(["January","February", "March", "April", "May", "June"])
print("\nprinting the original set ... ")
print(Months)
print("\nRemoving some months from the set...");
Months.remove("January");
Months.remove("May");
print("\nPrinting the modified set...");
print(Months)

We can also use the pop() method to remove the item. However, this method will always remove the last item.

Consider the following example to remove the last item from the set.

Months = set(["January","February", "March", "April", "May", "June"])
print("\nprinting the original set ... ")
print(Months)
print("\nRemoving some months from the set...");
Months.pop();
Months.pop();
print("\nPrinting the modified set...");
print(Months)

Python provides the clear() method to remove all the items from the set.

Consider the following example.

Months = set(["January","February", "March", "April", "May", "June"])
print("\nprinting the original set ... ")
print(Months)
print("\nRemoving all the items from the set...");
Months.clear()
print("\nPrinting the modified set...")
print(Months)

Difference between discard() and remove()

Despite the fact that discard() and remove() method both perform the same task, There is one main difference between discard() and remove().

If the key to be deleted from the set using discard() doesn't exist in the set, the python will not give the error. The program maintains its control flow.

On the other hand, if the item to be deleted from the set using remove() doesn't exist in the set, the python will give the error.

Consider the following example.

Months = set(["January","February", "March", "April", "May", "June"])
print("\nprinting the original set ... ")
print(Months)
print("\nRemoving items through discard() method...");
Months.discard("Feb"); #will not give an error although the key feb is not available in the set
print("\nprinting the modified set...")
print(Months)
print("\nRemoving items through remove() method...");
Months.remove("Jan") #will give an error as the key jan is not available in the set. 
print("\nPrinting the modified set...")
print(Months)

Union of two Sets

The union of two sets are calculated by using the or (|) operator. The union of the two sets contains the all the items that are present in both the sets.

Consider the following example to calculate the union of two sets.

using union | operator

Days1 = {"Monday","Tuesday","Wednesday","Thursday"}
Days2 = {"Friday","Saturday","Sunday"}
print(Days1|Days2) #printing the union of the sets

Python also provides the union() method which can also be used to calculate the union of two sets. Consider the following example.

using union() method

Days1 = {"Monday","Tuesday","Wednesday","Thursday"}
Days2 = {"Friday","Saturday","Sunday"}
print(Days1.union(Days2)) #printing the union of the sets

Output:

Intersection of two sets

The & (intersection) operator is used to calculate the intersection of the two sets in python. The intersection of the two sets are given as the set of the elements that common in both sets.

Consider the following example.

using & operator

set1 = {"Ayush","John", "David", "Martin"}
set2 = {"Steve","Milan","David", "Martin"}
print(set1&set2) #prints the intersection of the two sets

using intersection() method

set1 = {"Ayush","John", "David", "Martin"}
set2 = {"Steave","Milan","David", "Martin"}
print(set1.intersection(set2)) #prints the intersection of the two sets

The intersection_update() method

The intersection_update() method removes the items from the original set that are not present in both the sets (all the sets if more than one are specified).

The Intersection_update() method is different from intersection() method since it modifies the original set by removing the unwanted items, on the other hand, intersection() method returns a new set.

Consider the following example.

a = {"ayush", "bob", "castle"}
b = {"castle", "dude", "emyway"}
c = {"fuson", "gaurav", "castle"}

a.intersection_update(b, c)

print(a)

Difference of two sets

The difference of two sets can be calculated by using the subtraction (-) operator. The resulting set will be obtained by removing all the elements from set 1 that are present in set 2.

Consider the following example.

using subtraction ( - ) operator

Days1 = {"Monday",  "Tuesday", "Wednesday", "Thursday"}
Days2 = {"Monday", "Tuesday", "Sunday"}
print(Days1-Days2) #{"Wednesday", "Thursday" will be printed}

using difference() method

Days1 = {"Monday",  "Tuesday", "Wednesday", "Thursday"}
Days2 = {"Monday", "Tuesday", "Sunday"}
print(Days1.difference(Days2)) # prints the difference of the two sets Days1 and Days2

Set comparisons

Python allows us to use the comparison operators i.e., <, >, <=, >= , == with the sets by using which we can check whether a set is subset, superset, or equivalent to other set. The boolean true or false is returned depending upon the items present inside the sets.

Consider the following example.

Days1 = {"Monday",  "Tuesday", "Wednesday", "Thursday"}
Days2 = {"Monday", "Tuesday"}
Days3 = {"Monday", "Tuesday", "Friday"}

#Days1 is the superset of Days2 hence it will print true. 
print (Days1>Days2) 

#prints false since Days1 is not the subset of Days2 
print (Days1

FrozenSets

The frozen sets are the immutable form of the normal sets, i.e., the items of the frozen set can not be changed and therefore it can be used as a key in dictionary.

The elements of the frozen set can not be changed after the creation. We cannot change or append the content of the frozen sets by using the methods like add() or remove().

The frozenset() method is used to create the frozenset object. The iterable sequence is passed into this method which is converted into the frozen set as a return type of the method.

Consider the following example to create the frozen set.

Frozenset = frozenset([1,2,3,4,5]) 
print(type(Frozenset))
print("\nprinting the content of frozen set...")
for i in Frozenset:
	print(i);
Frozenset.add(6) #gives an error since we cannot change the content of Frozenset after creation

Frozenset for the dictionary

If we pass the dictionary as the sequence inside the frozenset() method, it will take only the keys from the dictionary and returns a frozenset that contains the key of the dictionary as its elements.

Consider the following example.

Dictionary = {"Name":"John", "Country":"USA", "ID":101} 
print(type(Dictionary))
Frozenset = frozenset(Dictionary); #Frozenset will contain the keys of the dictionary
print(type(Frozenset))
for i in Frozenset: 
	print(i)

Python Built-in set methods

Python contains the following methods to be used with the sets.