T3Tangent.gauge_residual
========================

.. py:method:: t3toolbox.manifold.T3Tangent.gauge_residual()

   .. code-block:: python

      def gauge_residual(self) -> NDArray:  # shape = variation stack K+C (scalar/0-d when unstacked)


   Max absolute gauge-condition violation, **per stack element** (shape = variation stack ``K+C``;
   atol-independent; **cached**).

   The expensive part of :py:meth:`is_gauged` -- a fixed tangent reused across an inner loop (e.g.
   the safe-mode GAUGE precondition of :py:meth:`ManifoldGeometry.inner`) is contracted **once**.