SymPy | Python中的 Permutation.rank_trotterjohnson()

Permutation.rank_trotterjohnson() ：rank_trotterjohnson()是一个 sympy Python库函数，它返回非字典排列的 trotter johnson 秩。

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

Return : next permutation in lexicographical rank_trotterjohnson

代码 #1：rank_trotterjohnson() 示例

# 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())

输出 ：

Permutation a – rank_trotterjohnson form : 10
Permutation b – rank_trotterjohnson form : 555

代码 #2：rank_trotterjohnson() 示例– 2D 排列

# 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())

输出 ：

Permutation a – rank_trotterjohnson form : 2420