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Python | SymPy Permutation.from_sequence() method
  • Last Updated : 27 Aug, 2019

Permutation.from_sequence() : from_sequence() is a sympy Python library function that returns the permutation which is required to obtain ‘i’ from the sorted elements of ‘i’. A ‘key’ can also be passed as an argument if any custom string is required.

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

Return :
returns the permutation which is required to
obtain ‘i’ from the sorted elements of ‘i’

Code #1 : from_sequence() Example




# Python code explaining
# SymPy.from_sequence()
  
# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
  
# Using from 
# sympy.combinatorics.permutations.Permutation.from_sequence() method 
  
# creating vectors
a = [1, 0, 0, 0]
  
b = [6, 5, 4, 3, 0, 0 ]
  
# inversion forms
print ("vector a - from_sequence form : \n", Permutation.from_sequence(a))
print ("vector b - from_sequence form : \n", Permutation.from_sequence(b))

Output :



vector a – from_sequence form :
Permutation([3, 0, 1, 2])

vector b – from_sequence form :
Permutation([5, 4, 3, 2, 0, 1])

Code #2 : from_sequence() Example – using string and key




# Python code explaining
# SymPy.from_sequence()
  
# importing SymPy libraries
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
  
# Using from sympy.combinatorics.permutations.Permutation.from_sequence() method 
  
# creating vector
a = [2, 3, 1, 0]
  
# inverted vector of a
print ("vector a - from_sequence form : "
       Permutation.from_sequence(a))
  
# length = 5, so permutation as per that.
print ("\nstring - from_sequence form : "
       Permutation.from_sequence('GEEKS'))
  
  
# length = 5, so permutation as per that.
# defining a key
print ("\nstring - from_sequence form : "
       Permutation.from_sequence('GEEKS', key = lambda x: x.lower()))

Output :

vector a – from_sequence form : Permutation([2, 3, 1, 0])

string – from_sequence form : Permutation([2, 0, 1, 3, 4])

string – from_sequence form : Permutation([2, 0, 1, 3, 4])

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