code: def _clip(A, B, k):
      """Return interval B as intervals that are covered by A (keyed
      to k) and all other intervals of B not covered by A keyed to -1.
  
      The reference point of each interval is the rhs; if the lhs is
      greater than the rhs then an interval of zero width interval will
      result, e.g. (4, 1) is treated like (1, 1).
  
      Examples
      ========
  
      >>> from sympy.functions.elementary.piecewise import _clip
      >>> from sympy import Tuple
      >>> A = Tuple(1, 3)
      >>> B = Tuple(2, 4)
      >>> _clip(A, B, 0)
      [(2, 3, 0), (3, 4, -1)]
  
      Interpretation: interval portion (2, 3) of interval (2, 4) is
      covered by interval (1, 3) and is keyed to 0 as requested;
      interval (3, 4) was not covered by (1, 3) and is keyed to -1.
      """
      a, b = B
      c, d = A
      c, d = Min(Max(c, a), b), Min(Max(d, a), b)
      a, b = Min(a, b), b
      p = []
      if a != c:
          p.append((a, c, -1))
      else:
          pass
      if c != d:
          p.append((c, d, k))
      else:
          pass
      if b != d:
          if d == c and p and p[-1][-1] == -1:
              p[-1] = p[-1][0], b, -1
          else:
              p.append((d, b, -1))
      else:
          pass
  
      return p
  
imports: from sympy.core import S, Function, diff, Tuple, Dummy, Mul
  from sympy.core.basic import Basic, as_Basic
  from sympy.core.numbers import Rational, NumberSymbol, _illegal
  from sympy.core.parameters import global_parameters
  from sympy.core.relational import Lt, Gt, Eq, Ne, Relational, _canonical, _canonical_coeff
  from sympy.core.sorting import ordered
  from sympy.functions.elementary.miscellaneous import Max, Min
  from sympy.logic.boolalg import And, Boolean, distribute_and_over_or, Not, true, false, Or, ITE, simplify_logic, to_cnf, distribute_or_over_and
  from sympy.utilities.iterables import uniq, sift, common_prefix
  from sympy.utilities.misc import filldedent, func_name
  from itertools import product
label_desc: Use image node_id 2 for calling a global function with example usage: _clip(A, B, k) and returns: p