SymPy | Permutation.next_trotterjohnson() in Python
Permutation.next_trotterjohnson() : next_trotterjohnson() is a sympy Python library function that returns the next permutation in Trotter-Johnson order. If self is the last permutation it returns None.
Syntax : sympy.combinatorics.permutations.Permutation.next_trotterjohnson()
Return : next permutation in Trotter-Johnson order
Code #1 : next_trotterjohnson() Example
# Python code explaining # SymPy.Permutation.next_trotterjohnson() # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation # Using from # sympy.combinatorics.permutations.Permutation.next_trotterjohnson() method # creating Permutation a = Permutation([[2, 0], [3, 1]]) b = Permutation([1, 3, 5, 4, 2, 0]) print ("Permutation a - next_trotterjohnson form : ", a.next_trotterjohnson()) print ("Permutation b - next_trotterjohnson form : ", b.next_trotterjohnson()) |
Output :
Permutation a – next_trotterjohnson form : (0 3 1 2)
Permutation b – next_trotterjohnson form : (0 1 5)(2 3 4)
Code #2 : next_trotterjohnson() Example – 2D Permutation
# Python code explaining # SymPy.Permutation.next_trotterjohnson() # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation # Using from # sympy.combinatorics.permutations.Permutation.next_trotterjohnson() method # creating Permutation a = Permutation([[2, 4, 0], [3, 1, 2], [1, 5, 6]]) print ("Permutation a - next_trotterjohnson form : ", a.next_trotterjohnson()) |
Output :
Permutation a – next_trotterjohnson form : (6)(0 3 5 1 2 4)
