% \iffalse
%
%% File l3fp-types.dtx (C) Copyright 2012-2015,2017,2018,2020,2021,2023 The LaTeX 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 "l3kernel 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>
\documentclass[full]{l3doc}
\usepackage{amsmath}
\begin{document}
  \DocInput{\jobname.dtx}
\end{document}
%</driver>
% \fi
%
% \title{^^A
%   The \pkg{l3fp-types} module\\ Floating point types^^A
% }
%
% \author{^^A
%  The \LaTeX{} Project\thanks
%    {^^A
%      E-mail:
%        \href{mailto:latex-team@latex-project.org}
%          {latex-team@latex-project.org}^^A
%    }^^A
% }
%
% \date{Released 2025-09-02}
%
% \maketitle
%
% \begin{documentation}
%
% \end{documentation}
%
% \begin{implementation}
%
% \section{\pkg{l3fp-types} implementation}
%
%    \begin{macrocode}
%<*code>
%    \end{macrocode}
%
%    \begin{macrocode}
%<@@=fp>
%    \end{macrocode}
%
% \subsection{Support for types}
%
% Despite lack of documentation, the \pkg{l3fp} internals support types.
% Each additional type must define
% \begin{itemize}
%   \item |\s__fp_|\meta{type} and |\__fp_|\meta{type}|_chk:w|;
%   \item |\__fp_exp_after_|\meta{type}|_f:nw|;
%   \item |\__fp_|\meta{type}|_to_|\meta{out}|:w| for \meta{out} among
%     |decimal|, |scientific|, |tl|;
% \end{itemize}
% and may define
% \begin{itemize}
%   \item |\__fp_|\meta{type}|_to_int:w| and |\__fp_|\meta{type}|_to_dim:w|;
%   \item |\__fp_|\meta{op}|_|\meta{type}|_o:w| for any of the \meta{op}
%     that the type implements, among |acos|, |acsc|, |asec|, |asin|,
%     |cos|, |cot|, |csc|, |exp|, |ln|, |not|, |sec|, |set_sign|, |sin|,
%     |tan|;
%   \item |\__fp_|\meta{type_1}|_|\meta{op}|_|\meta{type_2}|_o:ww| for
%     \meta{op} among |^*/-+&|\verb"|" and for every pair of types;
%   \item |\__fp_|\meta{type_1}|_bcmp_|\meta{type_2}|:ww| for every
%     pair of types.
% \end{itemize}
% The latter is set up in \pkg{l3fp-logic}.
%
% \subsection{Dispatch according to the type}
%
% \begin{macro}[EXP]
%   {\@@_types_cs_to_op:N, \@@_types_cs_to_op_auxi:wwwn}
%   From |\__fp_|\meta{op}|_o:w| produce \meta{op}, otherwise~|?|.
%    \begin{macrocode}
\cs_new:Npe \@@_types_cs_to_op:N #1
  {
    \exp_not:N \exp_after:wN \exp_not:N \@@_types_cs_to_op_auxi:wwwn
      \exp_not:N \token_to_str:N #1 \s_@@_mark
      \exp_not:N \@@_use_i_delimit_by_s_stop:nw
      \tl_to_str:n { @@_ _o:w } \s_@@_mark
        { \exp_not:N \@@_use_i_delimit_by_s_stop:nw ? }
      \s_@@_stop
  }
\use:e
  {
    \cs_new:Npn \exp_not:N \@@_types_cs_to_op_auxi:wwwn
      #1 \tl_to_str:n { @@_ } #2
      \tl_to_str:n { _o:w } #3 \s_@@_mark #4 { #4 {#2} }
  }
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}[EXP]{\@@_types_unary:NNw}
% \begin{macro}[EXP]
%   {\@@_types_unary_auxi:nNw, \@@_types_unary_auxii:NnNw}
%   \begin{syntax}
%     \cs{@@_types_unary:NNw} |\__fp_|\meta{function}|_o:w|
%     ~~\meta{token} \meta{operand} |@|
%   \end{syntax}
%    \begin{macrocode}
\cs_new:Npn \@@_types_unary:NNw #1
  {
    \exp_args:Nf \@@_types_unary_auxi:nNw
      { \@@_types_cs_to_op:N #1 }
  }
\cs_new:Npn \@@_types_unary_auxi:nNw #1#2#3
  {
    \exp_after:wN \@@_types_unary_auxii:NnNw
    \cs:w @@_#1 \@@_type_from_scan:N #3 _o:w \cs_end:
    {#1}
    #2#3
  }
\cs_new:Npn \@@_types_unary_auxii:NnNw #1#2#3
  {
    \token_if_eq_meaning:NNTF \scan_stop: #1
      { \@@_invalid_operation_o:nw {#2} }
      { #1 #3 }
  }
%    \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}[EXP]{\@@_types_binary:Nww}
% \begin{macro}[EXP]
%   {\@@_types_binary_auxi:Nww, \@@_types_binary_auxii:NNww}
%   \begin{syntax}
%     \cs{@@_types_binary:Nww} |\__fp_|\meta{binop}|_o:ww|
%     ~~\meta{operand_1} \meta{operand_2} |@|
%   \end{syntax}
%    \begin{macrocode}
\cs_new:Npn \@@_types_binary:Nww #1
  {
    \exp_last_unbraced:Nf \@@_types_binary_auxi:Nww
      { \@@_types_cs_to_op:N #1 }
  }
\cs_new:Npn \@@_types_binary_auxi:Nww #1#2#3\@@_sep: #4#5\@@_sep: @
  {
    \exp_after:wN \@@_types_binary_auxii:NNww
    \cs:w
      @@
      \@@_type_from_scan:N #2
      _#1
      \@@_type_from_scan:N #4
      _o:ww
    \cs_end:
    #1 #2#3\@@_sep: #4#5\@@_sep:
  }
\cs_new:Npn \@@_types_binary_auxii:NNww #1#2
  {
    \token_if_eq_meaning:NNTF \scan_stop: #1
      { \@@_invalid_operation_o:Nww #2 }
      {#1}
  }
%    \end{macrocode}
% \end{macro}
% \end{macro}
%
%    \begin{macrocode}
%</code>
%    \end{macrocode}
%
% \end{implementation}
%
% \PrintIndex
