SymPy | Permutation.next_trotterjohnson() in Python

SymPy | Permutation.rank_trotterjohnson() in Python

Last Updated : 27 Aug, 2019

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

Python3 1=1

# 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

Python3 1=1

# 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

SymPy | Permutation.next_trotterjohnson() in Python

N

noobestars101

Improve

Article Tags :

Python
SymPy

Practice Tags :

python

Similar Reads

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 permutat

SymPy | Permutation.unrank_trotterjohnson() in Python

Permutation.unrank_trotterjohnson() : unrank_trotterjohnson() is a sympy Python library function that returns the Trotter Johnson permutation unranking Syntax : sympy.combinatorics.permutations.Permutation.unrank_trotterjohnson() Return : Trotter Johnson permutation unranking Code #1 : unrank_trotte

SymPy | Permutation.rank() in Python

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.Per

SymPy | Permutation.transpositions() in Python

Permutation.transpositions() : transpositions() is a sympy Python library function that returns the permutation decomposed into a list of transpositions. It is always possible to express a permutation as the product of transpositions. Syntax : sympy.combinatorics.permutations.Permutation.transpositi

SymPy | Permutation.random() in Python

Permutation.random() : random() is a sympy Python library function that returns the random permutation of length 'n'. Syntax : sympy.combinatorics.permutations.Permutation.random() Return : random permutation of length Code #1 : random() Example Python3 1=1 # Python code explaining # SymPy.Permutati

SymPy | Permutation.runs() in Python

Permutation.runs() : runs() is a sympy Python library function that returns the runs of the permutation. Runs = An ascending sequence in a permutation Syntax : sympy.combinatorics.permutations.Permutation.runs() Return : runs of the permutation. Code #1 : runs() Example Python3 1=1 # Python code exp

SymPy | Permutation.rank_nonlex() in Python

Permutation.rank_nonlex() : rank_nonlex() is a sympy Python library function that returns the rank of non lexicographical permutation. Syntax : sympy.combinatorics.permutations.Permutation.rank_nonlex() Return : rank of non lexicographical permutation. Code #1 : rank_nonlex() Example Python3 1=1 # P

SymPy | Permutation.rmul_with_af() in Python

Permutation.rmul_with_af() : rmul_with_af() is a sympy Python library function that returns the product of the permutation but the elements of args are Permutation objects which have _array_form. Syntax : sympy.combinatorics.permutations.Permutation.rmul_with_af() Return : product of the permutation

SymPy | Permutation.rmul() in Python

Permutation.rmul() : rmul() is a sympy Python library function that returns the product of the permutation. Syntax : sympy.combinatorics.permutations.Permutation.rmul() Return : product of the permutation. Code #1 : rmul() Example Python3 1=1 # Python code explaining # SymPy.Permutation.rmul() # imp

SymPy | Permutation.unrank_lex() in Python

Permutation.unrank_lex() : unrank_lex() is a sympy Python library function that returns the Lexicographic permutation unranking. Syntax : sympy.combinatorics.permutations.Permutation.unrank_lex() Return : Lexicographic permutation unranking Code #1 : unrank_lex() Example Python3 1=1 # Python code ex