warp.tile\_lower\_solve\_inplace
================================

.. function:: warp._src.lang.tile_lower_solve_inplace(L: Tile[Float,tuple[int, int]], y: Tile[Float,tuple[int]]) -> None

   .. hlist::
      :columns: 8

      * Kernel

   Solve for ``z`` in ``Lz = y``, where ``L`` is a lower triangular matrix by overwriting ``y`` with ``z``.
   
   This performs general forward substitution for a lower triangular system inplace.
   
   Note: This inplace variant does not support automatic differentiation (adjoint computation),
   but avoids allocating shared memory for the output ``z`` by reusing ``y``'s memory.
   
   Supported datatypes are:
       * float32
       * float64
   
   :param L: A square, non-singular, lower triangular matrix
   :param y: A 1D or 2D tile with compatible shape that gets overwritten by ``z`` where ``Lz = y``.