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SymPy | Permutation.rank_trotterjohnson() in Python

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Permutation.rank_trotterjohnson() : rank_trotterjohnson() is a sympy Python library function that returns the trotter johnson rank of non lexicographical permutation.

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

Return : next permutation in lexicographical rank_trotterjohnson

Code #1 : rank_trotterjohnson() Example




# Python code explaining
# SymPy.Permutation.rank_trotterjohnson()
  
# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
  
# Using from 
# sympy.combinatorics.permutations.Permutation.rank_trotterjohnson() method 
  
# creating Permutation
a = Permutation([[2, 0], [3, 1]])
  
b = Permutation([1, 3, 5, 4, 2, 0])
  
  
print ("Permutation a - rank_trotterjohnson form : ", a.rank_trotterjohnson())
print ("Permutation b - rank_trotterjohnson form : ", b.rank_trotterjohnson())


Output :

Permutation a – rank_trotterjohnson form : 10
Permutation b – rank_trotterjohnson form : 555

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




# Python code explaining
# SymPy.Permutation.rank_trotterjohnson()
  
# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
  
# Using from 
# sympy.combinatorics.permutations.Permutation.rank_trotterjohnson() method 
  
# creating Permutation
a = Permutation([[2, 4, 0], 
                 [3, 1, 2],
                 [1, 5, 6]])
  
  
print ("Permutation a - rank_trotterjohnson form : ", a.rank_trotterjohnson())


Output :

Permutation a – rank_trotterjohnson form : 2420



Last Updated : 27 Aug, 2019
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