code: def sin(x):
      """evaluates the sine of an interval"""
      np = import_module("numpy")
      if isinstance(x, (int, float)):
          return interval(np.sin(x))
      elif isinstance(x, interval):
          if not x.is_valid:
              return interval(-1, 1, is_valid=x.is_valid)
          na, __ = divmod(x.start, np.pi / 2.0)
          nb, __ = divmod(x.end, np.pi / 2.0)
          start = min(np.sin(x.start), np.sin(x.end))
          end = max(np.sin(x.start), np.sin(x.end))
          if nb - na > 4:
              return interval(-1, 1, is_valid=x.is_valid)
          elif na == nb:
              return interval(start, end, is_valid=x.is_valid)
          else:
              if (na - 1) // 4 != (nb - 1) // 4:
                  # sin has max
                  end = 1
              if (na - 3) // 4 != (nb - 3) // 4:
                  # sin has min
                  start = -1
              return interval(start, end)
      else:
          raise NotImplementedError
  
imports: from functools import reduce
  from sympy.plotting.intervalmath import interval
  from sympy.external import import_module
label_desc: Use image node_id 6 for calling a global function with example usage: sin(x) and returns: interval, interval, interval, interval, interval