code: def _fuzzy_positive_semidefinite(M):
      nonnegative_diagonals = M._has_nonnegative_diagonals()
      if nonnegative_diagonals is False:
          return False
  
      if nonnegative_diagonals and M.is_weakly_diagonally_dominant:
          return True
  
      return None
  
imports: from types import FunctionType
  from collections import Counter
  from mpmath import mp, workprec
  from mpmath.libmp.libmpf import prec_to_dps
  from sympy.core.sorting import default_sort_key
  from sympy.core.evalf import DEFAULT_MAXPREC, PrecisionExhausted
  from sympy.core.logic import fuzzy_and, fuzzy_or
  from sympy.core.numbers import Float
  from sympy.core.sympify import _sympify
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.polys import roots, CRootOf, ZZ, QQ, EX
  from sympy.polys.matrices import DomainMatrix
  from sympy.polys.matrices.eigen import dom_eigenvects, dom_eigenvects_to_sympy
  from sympy.polys.polytools import gcd
  from .exceptions import MatrixError, NonSquareMatrixError
  from .determinant import _find_reasonable_pivot
  from .utilities import _iszero, _simplify
label_desc: Use image node_id 20 for calling a global function with example usage: _fuzzy_positive_semidefinite(M) and returns: None, False, True