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
