code: def test_empty():
      def fun(t, y):
          return np.zeros((0,))
  
      y0 = np.zeros((0,))
  
      for method in ["RK23", "RK45", "DOP853", "Radau", "BDF", "LSODA"]:
          sol = assert_no_warnings(
              solve_ivp,
              fun,
              [0, 10],
              y0,
              method=method,
              dense_output=True,
          )
          assert_equal(sol.sol(10), np.zeros((0,)))
          assert_equal(sol.sol([1, 2, 3]), np.zeros((0, 3)))
  
      for method in ["RK23", "RK45", "DOP853", "Radau", "BDF", "LSODA"]:
          sol = assert_no_warnings(
              solve_ivp,
              fun,
              [0, np.inf],
              y0,
              method=method,
              dense_output=True,
          )
          assert_equal(sol.sol(10), np.zeros((0,)))
          assert_equal(sol.sol([1, 2, 3]), np.zeros((0, 3)))
  
imports: from itertools import product
  from numpy.testing import assert_, assert_allclose, assert_equal, assert_no_warnings, suppress_warnings
  import pytest
  from pytest import raises
  import numpy
  from scipy.optimize._numdiff import group_columns
  from scipy.integrate import solve_ivp, RK23, RK45, DOP853, Radau, BDF, LSODA
  from scipy.integrate import OdeSolution
  from scipy.integrate._ivp.common import num_jac
  from scipy.integrate._ivp.base import ConstantDenseOutput
  from scipy.sparse import coo_matrix, csc_matrix
label_desc: Use image node_id 29 for calling a global function with example usage: test_empty() and returns: np