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% \iffalse meta-comment
%
%% File: l3tl-build.dtx Copyright (C) 2011-2016 The LaTeX3 Project
%
% It may be distributed and/or modified under the conditions of the
% LaTeX Project Public License (LPPL), either version 1.3c of this
% license or (at your option) any later version. The latest version
% of this license is in the file
%
% http://www.latex-project.org/lppl.txt
%
% This file is part of the "l3experimental bundle" (The Work in LPPL)
% and all files in that bundle must be distributed together.
%
% -----------------------------------------------------------------------
%
% The development version of the bundle can be found at
%
% https://github.com/latex3/latex3
%
% for those people who are interested.
%
%<*driver|package>
% The version of expl3 required is tested as early as possible, as
% some really old versions do not define \ProvidesExplPackage.
\RequirePackage{expl3}[2017/03/11]
%<package>\@ifpackagelater{expl3}{2017/03/11}
%<package> {}
%<package> {%
%<package> \PackageError{l3tl-build}{Support package l3kernel too old}
%<package> {%
%<package> Please install an up to date version of l3kernel\MessageBreak
%<package> using your TeX package manager or from CTAN.\MessageBreak
%<package> \MessageBreak
%<package> Loading l3tl-build will abort!%
%<package> }%
%<package> \endinput
%<package> }
\GetIdInfo$Id: l3tl-build.dtx 6988 2017-03-11 15:52:21Z joseph $
{L3 Experimental token list construction}
%</driver|package>
%<*driver>
\documentclass[full]{l3doc}
\usepackage{amsmath}
\begin{document}
\DocInput{\jobname.dtx}
\end{document}
%</driver>
% \fi
%
%
% \title{^^A
% The \textsf{l3tl-build} package: building token lists^^A
% \thanks{This file describes v\ExplFileVersion,
% last revised \ExplFileDate.}^^A
% }
%
% \author{^^A
% The \LaTeX3 Project\thanks
% {^^A
% E-mail:
% \href{mailto:latex-team@latex-project.org}
% {latex-team@latex-project.org}^^A
% }^^A
% }
%
% \date{Released \ExplFileDate}
%
% \maketitle
%
% \begin{documentation}
%
% \section{\pkg{l3tl-build} documentation}
%
% This module provides no user function: it is meant for kernel use
% only.
%
% There are two main ways of building token lists from individual
% tokens. Either in one go within an \texttt{x}-expanding assignment, or
% by repeatedly using \cs{tl_put_right:Nn}. The first method takes a
% linear time, but only allows expandable operations. The second method
% takes a time quadratic in the length of the token list, but allows
% expandable and non-expandable operations.
%
% The goal of this module is to provide functions to build a token list
% piece by piece in linear time, while allowing non-expandable
% operations. This is achieved by abusing \tn{toks}: adding some tokens
% to the token list is done by storing them in a free token register
% (time $O(1)$ for each such operation). Those token registers are only
% put together at the end, within an \texttt{x}-expanding assignment,
% which takes a linear time.\footnote{If we run out of token registers,
% then the currently filled-up \tn{toks} are put together in a
% temporary token list, and cleared, and we ultimately use
% \cs{tl_put_right:Nx} to put those chunks together. Hence the true
% asymptotic is quadratic, with a very small constant.} Of course,
% all this must be done in a group: we can't go and clobber the values
% of legitimate \tn{toks} used by \LaTeXe{}.
%
% Since none of the current applications need the ability to insert
% material on the left of the token list, I have not implemented
% that. This could be done for instance by using odd-numbered \tn{toks}
% for the left part, and even-numbered \tn{toks} for the right part.
%
% \subsection{Internal functions}
%
% \begin{function}
% {
% \__tl_build:Nw, \__tl_gbuild:Nw,
% \__tl_build_x:Nw, \__tl_gbuild_x:Nw
% }
% \begin{syntax}
% \cs{__tl_build:Nw} \meta{tl~var} \texttt{\ldots{}}
% \cs{__tl_build_one:n} \Arg{tokens_1} \texttt{\ldots{}}
% \cs{__tl_build_one:n} \Arg{tokens_2} \texttt{\ldots{}}
% \ldots{}
% \cs{__tl_build_end:}
% \end{syntax}
% Defines the \meta{tl~var} to contain the contents of \meta{tokens1}
% followed by \meta{tokens2}, \emph{etc.} This is built in such a way
% to be more efficient than repeatedly using \cs{tl_put_right:Nn}. The
% code in \enquote{\texttt{\ldots{}}} does not need to be
% expandable. The commands \cs{__tl_build:Nw} and \cs{__tl_build_end:}
% start and end a group. The assignment to the \meta{tl~var} occurs
% just after the end of that group, using \cs{tl_set:Nn},
% \cs{tl_gset:Nn}, \cs{tl_set:Nx}, or \cs{tl_gset:Nx}.
% \end{function}
%
% \begin{function}{\__tl_build_one:n, \__tl_build_one:o, \__tl_build_one:x}
% \begin{syntax}
% \cs{__tl_build_one:n} \Arg{tokens}
% \end{syntax}
% This function may only be used within the scope of a
% \cs{__tl_build:Nw} function. It adds the \meta{tokens} on the
% right of the current token list.
% \end{function}
%
% \begin{function}{\__tl_build_end:}
% Ends the scope started by \cs{__tl_build:Nw}, and performs the
% relevant assignment.
% \end{function}
%
% \end{documentation}
%
% \begin{implementation}
%
% \section{\pkg{l3tl-build} implementation}
%
% \begin{macrocode}
%<*initex|package>
% \end{macrocode}
%
% \begin{macrocode}
%<@@=tl_build>
% \end{macrocode}
%
% \begin{macrocode}
\ProvidesExplPackage
{\ExplFileName}{\ExplFileDate}{\ExplFileVersion}{\ExplFileDescription}
% \end{macrocode}
%
% \subsection{Variables and helper functions}
%
% \begin{variable}{\l_@@_start_index_int, \l_@@_index_int}
% Integers pointing to the starting index (currently always starts at
% zero), and the current index. The corresponding \tn{toks} are
% accessed directly by number.
% \begin{macrocode}
\int_new:N \l_@@_start_index_int
\int_new:N \l_@@_index_int
% \end{macrocode}
% \end{variable}
%
% \begin{variable}{\l_@@_result_tl}
% The resulting token list is normally built in one go by unpacking
% all \tn{toks} in some range. In the rare cases where there are too
% many \cs{@@_one:n} commands, leading to the depletion of
% registers, the contents of the current set of \tn{toks} is unpacked
% into \cs{l_@@_result_tl}. This prevents overflow from
% affecting the end-user (beyond an obvious performance hit).
% \begin{macrocode}
\tl_new:N \l_@@_result_tl
% \end{macrocode}
% \end{variable}
%
% \begin{macro}{\@@_unpack:}
% \begin{macro}[aux, EXP]{\@@_unpack_loop:w}
% The various pieces of the token list are built in \tn{toks} from the
% \texttt{start_index} (inclusive) to the (current) \texttt{index}
% (excluded). Those \tn{toks} are unpacked and stored in order in the
% \texttt{result} token list. Optimizations would be possible here,
% for instance, unpacking $10$ \tn{toks} at a time with a macro
% expanding to |\the\toks#10...\the\toks#19|, but this should be kept
% for much later.
% \begin{macrocode}
\cs_new_protected:Npn \@@_unpack:
{
\tl_put_right:Nx \l_@@_result_tl
{
\exp_after:wN \@@_unpack_loop:w
\int_use:N \l_@@_start_index_int ;
\__prg_break_point:
}
}
\cs_new:Npn \@@_unpack_loop:w #1 ;
{
\if_int_compare:w #1 = \l_@@_index_int
\exp_after:wN \__prg_break:
\fi:
\tex_the:D \tex_toks:D #1 \exp_stop_f:
\exp_after:wN \@@_unpack_loop:w
\int_use:N \__int_eval:w #1 + 1 ;
}
% \end{macrocode}
% \end{macro}
% \end{macro}
%
% \subsection{Building the token list}
%
% \begin{macro}
% {
% \@@:Nw , \@@_x:Nw ,
% \__tl_gbuild:Nw , \__tl_gbuild_x:Nw
% }
% \begin{macro}[aux]{\@@_aux:NNw}
% Similar to what is done for coffins: redefine some command, here
% \cs{@@_end_aux:n} to hold the relevant assignment (see
% \cs{@@_end:} for details). Then initialize the start index and
% the current index at zero, and empty the \texttt{result} token list.
% \begin{macrocode}
\cs_new_protected:Npn \@@:Nw
{ \@@_aux:NNw \tl_set:Nn }
\cs_new_protected:Npn \@@_x:Nw
{ \@@_aux:NNw \tl_set:Nx }
\cs_new_protected:Npn \__tl_gbuild:Nw
{ \@@_aux:NNw \tl_gset:Nn }
\cs_new_protected:Npn \__tl_gbuild_x:Nw
{ \@@_aux:NNw \tl_gset:Nx }
\cs_new_protected:Npn \@@_aux:NNw #1#2
{
\group_begin:
\cs_set:Npn \@@_end_assignment:n
{ \group_end: #1 #2 }
\int_zero:N \l_@@_start_index_int
\int_zero:N \l_@@_index_int
\tl_clear:N \l_@@_result_tl
}
% \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\@@_end:}
% \begin{macro}[aux]{\@@_end_assignment:n}
% When we are done building a token list, unpack all \tn{toks} into
% the \texttt{result} token list, and expand this list before closing
% the group. The \cs{@@_end_assignment:n} function is defined by
% \cs{@@_aux:NNw} to end the group and hold the relevant
% assignment. Its value outside is irrelevant, but just in case, we
% set it to a function which would clean up the contents of
% \cs{l_@@_result_tl}.
% \begin{macrocode}
\cs_new_protected:Npn \@@_end:
{
\@@_unpack:
\exp_args:No
\@@_end_assignment:n \l_@@_result_tl
}
\cs_new_eq:NN \@@_end_assignment:n \use_none:n
% \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\@@_one:n, \@@_one:o, \@@_one:x}
% Store the tokens in a free \tn{toks}, then move the pointer to the
% next one. If we overflow, unpack the current \tn{toks}, and reset
% the current index, preparing to fill more \tn{toks}. This could be
% optimized by avoiding to read |#1|, using \tn{afterassignment}.
% \begin{macrocode}
\cs_new_protected:Npn \@@_one:n #1
{
\tex_toks:D \l_@@_index_int {#1}
\int_incr:N \l_@@_index_int
\if_int_compare:w \l_@@_index_int > \c_max_register_int
\@@_unpack:
\l_@@_index_int \l_@@_start_index_int
\fi:
}
\cs_new_protected:Npn \@@_one:o #1
{
\tex_toks:D \l_@@_index_int \exp_after:wN {#1}
\int_incr:N \l_@@_index_int
\if_int_compare:w \l_@@_index_int > \c_max_register_int
\@@_unpack:
\l_@@_index_int \l_@@_start_index_int
\fi:
}
\cs_new_protected:Npn \@@_one:x #1
{ \use:x { \@@_one:n {#1} } }
% \end{macrocode}
% \end{macro}
%
% \begin{macrocode}
%</initex|package>
% \end{macrocode}
%
% \end{implementation}
%
% \PrintIndex
|