code: def is_scalar_nonsparse_matrix(
      circuit, nqubits, identity_only, eps=None
  ):
      """Checks if a given circuit, in matrix form, is equivalent to
      a scalar value.
  
      Parameters
      ==========
  
      circuit : Gate tuple
          Sequence of quantum gates representing a quantum circuit
      nqubits : int
          Number of qubits in the circuit
      identity_only : bool
          Check for only identity matrices
      eps : number
          This argument is ignored. It is just for signature compatibility with
          is_scalar_sparse_matrix.
  
      Note: Used in situations when is_scalar_sparse_matrix has bugs
      """
  
      matrix = represent(Mul(*circuit), nqubits=nqubits)
  
      # In some cases, represent returns a 1D scalar value in place
      # of a multi-dimensional scalar matrix
      if isinstance(matrix, Number):
          return matrix == 1 if identity_only else True
  
      # If represent returns a matrix, check if the matrix is diagonal
      # and if every item along the diagonal is the same
      else:
          # Added up the diagonal elements
          matrix_trace = matrix.trace()
          # Divide the trace by the first element in the matrix
          # if matrix is not required to be the identity matrix
          adjusted_matrix_trace = (
              matrix_trace / matrix[0]
              if not identity_only
              else matrix_trace
          )
  
          is_identity = (
              equal_valued(matrix[0], 1) if identity_only else True
          )
  
          has_correct_trace = adjusted_matrix_trace == pow(2, nqubits)
  
          # The matrix is scalar if it's diagonal and the adjusted trace
          # value is equal to 2^nqubits
          return bool(
              matrix.is_diagonal() and has_correct_trace and is_identity
          )
  
imports: from collections import deque
  from sympy.core.random import randint
  from sympy.external import import_module
  from sympy.core.basic import Basic
  from sympy.core.mul import Mul
  from sympy.core.numbers import Number, equal_valued
  from sympy.core.power import Pow
  from sympy.core.singleton import S
  from sympy.physics.quantum.represent import represent
  from sympy.physics.quantum.dagger import Dagger
label_desc: Use image node_id 2 for calling a global function with example usage: is_scalar_nonsparse_matrix(circuit, nqubits, identity_only, eps) and returns: unknown, bool