Python | SymPy Permutation.atoms() method

Permutation.atoms() : atoms() is a sympy Python library function that returns all the elements that are present in the permutation.

Syntax : sympy.combinatorics.permutations.Permutation.atoms()

Return : elements of the argumented permutation.

Code #1 : atoms() Example

# Python code explaining
# SymPy.Permutation.atoms()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation

# Using from sympy.combinatorics.permutations.Permutation.atoms() method

# creating Permutation
a = Permutation([[2, 0], [3, 1]])

b = Permutation([1, 3, 5, 4, 2, 0])


print ("Permutation a - atoms form : ", a.atoms())
print ("Permutation b - atoms form : ", b.atoms())

Output :

Permutation a – atoms form : {0, 1, 2, 3}
Permutation b – atoms form : {0, 1, 2, 3, 4, 5}

Code #2 : atoms() Example – 2D Permutation

# Python code explaining
# SymPy.Permutation.atoms()

# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation

# Using from sympy.combinatorics.permutations.Permutation.atoms() method

# creating Permutation
a = Permutation([[2, 4, 0],
                 [3, 1, 2],
                 [1, 5, 6]])


print ("Permutation a - atoms form : ", a.atoms())

Output :

Permutation a – ascents form : [1, 2, 4]