.. _ContainerTable:

######################
Container Lookup-Table
######################

Using lookup-tables is the original proposal of :footcite:t:`lin_exact_1990` which we have generalized to arbitrary :math:`Q` and an arbitrary number of subsystems.
The index of each :ref:`state<State>`, :math:`\vert\Psi_i\rangle`, in the subsystem can be accessed by its integer representation: :math:`\textbf{i} = \textbf{table} \left[\vert\Psi_i\rangle\right]`.
The maximal size of the table is :math:`2^{\textbf{Nbits}\cdot \textbf{L}}` where **Nbits** is the number of bits (defined by the :ref:`State class<State>`) to encode a local site.



.. warning::

    The maximal length per subsystem is limited by the underlying integer type **IntType** of the :ref:`State class<State>`.
    The length **L** has to fulfill :math:`\textbf{Nbits}\cdot\textbf{L} \leq \texttt{sizeof_IntType}\cdot 8`.


Data members
------------

.. doxygenvariable:: danceq::internal::ContainerTable::table

.. doxygenvariable:: danceq::internal::ContainerTable::L const

.. doxygenvariable:: danceq::internal::ContainerTable::n_max const

.. doxygenvariable:: danceq::internal::ContainerTable::maximal_state_per_n

.. doxygenvariable:: danceq::internal::ContainerTable::minimal_state_per_n


.. footbibliography::