SymPy | Permutation.random() in Python

SymPy | Permutation.rank() in Python

Last Updated : 27 Aug, 2019

Permutation.rank() : rank() is a sympy Python library function that returns the lexicographic rank of the permutation.

Syntax : sympy.combinatorics.permutations.Permutation.rank() Return : lexicographic rank of the permutation

Code #1 : rank() Example

Python3 1=1

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

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

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

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

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


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

Output :

Permutation a - rank form : 16 Permutation b - rank form : 191

Code #2 : rank() Example - 2D Permutation

Python3 1=1

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

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

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

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


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

Output :

Permutation a - rank form : 2461

SymPy | Permutation.random() in Python

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