code: def symplectic_euler_step(force, state, time, dt):
      """Compute one step of the symplectic euler approximation.
  
      Parameters
      ----------
      state : array-like, shape=[2, dim]
          State at time t, corresponds to position and velocity variables at
          time t.
      force : callable
          Vector field that is being integrated.
      time : float
          Time variable.
      dt : float
          Time-step in the integration.
  
      Returns
      -------
      point_new : array-like, shape=[..., {dim, [n, n]}]
          First variable at time t + dt.
      vector_new : array-like, shape=[..., {dim, [n, n]}]
          Second variable at time t + dt.
      """
      raise NotImplementedError
  
imports: from geomstats.errors import check_parameter_accepted_values
label_desc: Use image node_id 2 for calling a global function with example usage: symplectic_euler_step(force, state, time, dt) without return types