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

Permutation.get_precedence_distance() : get_precedence_distance() is a sympy Python library function that calculates the precedence distance between two permutations.

p and q represent n jobs. The precedence metric counts the no. of times a job n is preceded by job m in both p and q. This is a commutative matrix.

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

Return :
precedence distance between two permutations

Code #1 : get_precedence_distance() Example

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

Output :

a – get_precedence_distance form b: 6
b – get_precedence_distance form c: 9

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

 `# Python code explaining``# SymPy.Permutation.get_precedence_distance()`` ` `# importing SymPy libraries``from` `sympy.combinatorics.partitions ``import` `Partition``from` `sympy.combinatorics.permutations ``import` `Permutation`` ` `# Using from ``# sympy.combinatorics.permutations.Permutation.get_precedence_distance() method `` ` `# creating Permutation``a ``=` `Permutation([[``2``, ``4``, ``0``], ``                 ``[``7``, ``1``, ``3``],``                 ``[``8``, ``5``, ``6``]])`` ` `b ``=` `Permutation([[``8``, ``4``, ``0``], ``                 ``[``2``, ``7``, ``0``],``                 ``[``1``, ``6``, ``7``]])``     ` `print` `(``"a get_precedence_distance form b : "``, a.get_precedence_distance(b))`

Output :

a get_precedence_distance form b : 22

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