warp.tile\_upper\_solve\_inplace
================================

.. currentmodule:: warp._src.lang

.. function:: tile_upper_solve_inplace(U: Tile[Float, tuple[int, int]], z: Tile[Float, tuple[int, ...]]) -> None

   .. wp-function-tags::
      :kernel: true
      :python: false
      :differentiable: false

   Solve ``U x = z`` in place for an upper-triangular ``U``, overwriting ``z`` with ``x``.
   
   Behaves like :func:`~warp.tile_upper_solve` -- only the upper triangle of ``U`` is
   read, the right-hand side may be 1D or 2D, and the same dtype and backend rules
   apply -- except that the solution overwrites ``z`` instead of being returned.
   
   This is a cooperative operation, so every thread in the block must call it.
   
   This in-place variant avoids allocating shared memory for a separate output.
   
   :param U: A square, non-singular, upper-triangular tile with ``shape=(M, M)``.
   :param z: The right-hand side, a tile with ``shape=(M,)`` or ``shape=(M, NRHS)``,
             overwritten by the solution ``x``.
   
   See :func:`~warp.tile_upper_solve` for usage details, and
   :func:`~warp.tile_lower_solve` for an example.