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-rw-r--r--macros/latex/contrib/numerica-tables/README.txt12
-rw-r--r--macros/latex/contrib/numerica-tables/numerica-tables.pdf9434
-rw-r--r--macros/latex/contrib/numerica-tables/numerica-tables.sty93
-rw-r--r--macros/latex/contrib/numerica-tables/numerica-tables.tex1277
-rw-r--r--macros/latex/contrib/robust-externalize/README.md7
-rw-r--r--macros/latex/contrib/robust-externalize/robust-externalize.pdfbin0 -> 448699 bytes
-rw-r--r--macros/latex/contrib/robust-externalize/robust-externalize.sty1302
-rw-r--r--macros/latex/contrib/robust-externalize/robust-externalize.tex2113
8 files changed, 10226 insertions, 4012 deletions
diff --git a/macros/latex/contrib/numerica-tables/README.txt b/macros/latex/contrib/numerica-tables/README.txt
index 95f62fcfe6..1aeb1f548d 100644
--- a/macros/latex/contrib/numerica-tables/README.txt
+++ b/macros/latex/contrib/numerica-tables/README.txt
@@ -13,13 +13,12 @@ numerica-tables allows the creation of possibly multi-column
tables of mathematical function values in a wide variety of
formats.
-Version 3.0.0 requires version 3 of numerica and the booktabs
+Version 3.1.0 requires version 3 of numerica and the booktabs
package. numerica must be loaded before numerica-tables.
-Version 3.0.0 of numerica-tables allows non-uniformly stepped
-row-variable values, and comma lists of numbers or expressions
-to serve as row variable values. Table entries can now also be
-presented in fraction form. See numerica-tables.pdf for details
-on how to use the package.
+Version 3.1.0 of numerica-tables adds an index to the docu-
+mentation and allows the rounding value to vary with row or
+column (or both). See numerica-tables.pdf for details on how
+to use the package.
Manifest
%%%%%%%%
@@ -29,4 +28,3 @@ numerica-tables.sty LaTeX .sty file
numerica-tables.pdf documentation for numerica-tables.sty
numerica-tables.tex documentation source file
-
diff --git a/macros/latex/contrib/numerica-tables/numerica-tables.pdf b/macros/latex/contrib/numerica-tables/numerica-tables.pdf
index 41dc95cb88..c9f8ad108f 100644
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+<< /Size 1020
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%%EOF
diff --git a/macros/latex/contrib/numerica-tables/numerica-tables.sty b/macros/latex/contrib/numerica-tables/numerica-tables.sty
index e39ec24f5b..c1808141e4 100644
--- a/macros/latex/contrib/numerica-tables/numerica-tables.sty
+++ b/macros/latex/contrib/numerica-tables/numerica-tables.sty
@@ -10,8 +10,8 @@
\RequirePackage{booktabs}
\ProvidesExplFile
{numerica-tables.sty}
- {2023/08/21}
- {3.0.0}
+ {2023/08/25}
+ {3.1.0}
{Create mathematical tables of function values}
\msg_new:nnn {numerica-tables} {version}
@@ -68,12 +68,48 @@
\cs_generate_variant:Nn \__nmc_sci_num_table_signs:n { x }
\cs_new:Npn \__nmc_table_rc:N #1
{ \str_if_eq:nVTF { #1 } \c__nmc_r_tl { row } { column } }
+\cs_new_protected:Npn \__nmc_table_rvround_pre:
+ {
+ \fp_set_eq:NN \l__nmc_table_r_fp \l__nmc_table_rstart_fp
+ \prop_put:NVx \l__nmc_subst_var_prop \l__nmc_table_rvar_tl
+ { \fp_use:N \l__nmc_table_r_fp }
+ \__nmc_table_reset_rounding:
+ }
+\cs_new_protected:Npn \__nmc_table_rvround_post:
+ {
+ \fp_add:Nn \l__nmc_table_r_fp { \l__nmc_table_rstep_fp }
+ \prop_put:NVx \l__nmc_subst_var_prop \l__nmc_table_rvar_tl
+ { \fp_use:N \l__nmc_table_r_fp }
+ \__nmc_table_reset_rounding:
+ }
+\cs_new_protected:Npn \__nmc_table_cvround_pre:
+ {
+ \fp_set_eq:NN \l__nmc_table_c_fp \l__nmc_table_cstart_fp
+ \prop_put:NVx \l__nmc_subst_var_prop \l__nmc_table_cvar_tl
+ { \fp_use:N \l__nmc_table_c_fp }
+ \__nmc_table_reset_rounding:
+ }
+
+\cs_new_protected:Npn \__nmc_table_cvround_post:
+ {
+ \fp_add:Nn \l__nmc_table_c_fp { \l__nmc_table_cstep_fp }
+ \prop_put:NVx \l__nmc_subst_var_prop \l__nmc_table_cvar_tl
+ { \fp_use:N \l__nmc_table_c_fp }
+ \__nmc_table_reset_rounding:
+ }
+\cs_new_protected:Npn \__nmc_table_reset_rounding:
+ {
+ \tl_clear:N \l__nmca_tl
+ \__nmc_fpify:VN \l__nmc_round_xpr_tl \l__nmca_tl
+ \int_set:Nn \l__nmc_round_int { \fp_to_int:n \l__nmca_tl }
+ }
%--------------------------------------
\tl_new:N \l__nmc_x_tl
\seq_new:N \l_tmpd_seq
\tl_const:Nn \c__nmc_r_tl { r }
\tl_const:Nn \c__nmc_l_tl { l }
\bool_new:N \l__nmc_table_multifn_bool
+\bool_new:N \l__nmc_table_round_bool
\seq_new:N \l__nmc_table_multifn_seq
\tl_new:N \l__nmc_table_valign_tl
@@ -122,6 +158,7 @@
\tl_new:N \l__nmc_table_rheadi_tl
\tl_new:N \l__nmc_table_rhnudge_tl
\tl_new:N \l__nmc_table_rhnudgei_tl
+\int_new:N \l__nmc_table_chfrac_int
\int_new:N \l__nmc_table_chround_int
\int_new:N \l__nmc_table_chstyle_int
\int_const:Nn \c__nmc_table_chstyle_int { 5 }
@@ -239,6 +276,12 @@
}
\int_compare:nNnF \l__nmc_dbg_int = { 11 }
{ \int_zero:N \l__nmc_dbg_int }
+ % \int_if_zero:nF { \l__nmc_table_rfrac_int + \l__nmc_table_chfrac_int }
+ \int_if_zero:nF { \l__nmc_table_rfrac_int }
+ {
+ \int_compare:nNnT { \l__nmc_table_chstyle_int } > { 2 }
+ { \int_zero:N \l__nmc_table_chstyle_int }
+ }
}
\cs_new_protected:Npn \l__nmc_table_settings_ctitle:
{
@@ -347,6 +390,8 @@
}
{ \__nmc_table_get_ini_vals_aux:N c }
}
+ \bool_if:NT \l__nmc_table_round_bool
+ { \__nmc_fpify:VN \l__nmc_round_xpr_tl \l__nmc_toss_tl }
\seq_gpop:NN \g__nmc_error_where_seq \l__nmc_toss_tl
}
\cs_new_protected:Npn \__nmc_table_get_ini_vals_aux:N #1
@@ -653,7 +698,7 @@
{
\bool_if:NF \l__nmc_num_only_bool
{
- \int_if_zero:nF \l__nmc_table_header_int
+ \int_if_zero:nT \l__nmc_table_headless_int
{
\__nmc_table_headercnum:
\tl_set:Nx \l__nmc_table_header_tl { \__nmc_table_header: }
@@ -669,7 +714,7 @@
{
\__nmc_table_upper:
\exp_not:o \l__nmc_table_header_tl
- \int_if_zero:nF \l__nmc_table_header_int
+ \int_if_zero:nT \l__nmc_table_headless_int
{
\\~
\__nmc_if_mod_zero:nnT { \l__nmc_table_rules_int } { 7 }
@@ -828,6 +873,8 @@
}
\cs_new:Npn \__nmc_table_headern:
{
+ \int_set_eq:NN \l__nmc_table_chfrac_int \l__nmc_frac_out_int
+ \int_zero:N \l__nmc_frac_out_int
\tl_if_empty:NT \l__nmc_table_chead_tl
{
\seq_clear:N \l_tmpa_seq
@@ -847,6 +894,7 @@
}
\tl_set:Nx \l__nmc_table_chead_tl { \seq_use:Nn \l_tmpa_seq { & } }
}
+ \int_set_eq:NN \l__nmc_frac_out_int \l__nmc_table_chfrac_int
}
\cs_new_protected:Npn \__nmc_table_chstyler:NN #1 #2
{
@@ -857,12 +905,14 @@
{
\bool_if:NTF \l__nmc_table_coli_only_bool
{
- \__nmc_table_header_auxi:Nx #1 { \l__nmc_table_cvar_tl = #2 }
+ \__nmc_table_header_auxi:Nx #1
+ { \l__nmc_table_cvar_tl = \exp_not:o #2 }
\bool_set_false:N \l__nmc_table_coli_only_bool
}
{ \seq_put_right:NV #1 #2 }
}
- { 2 } { \__nmc_table_header_auxi:Nx #1 { \l__nmc_table_cvar_tl = #2 } }
+ { 2 } { \__nmc_table_header_auxi:Nx #1
+ { \l__nmc_table_cvar_tl = \exp_not:o #2 } }
{ 3 } { \__nmc_table_header_auxiii:NV #1 #2 }
{ 4 } { \__nmc_table_header_auxiv:NV #1 #2 }
{ 5 } { \seq_set_split:NnV #1 { & } \l__nmc_table_chead_tl }
@@ -872,7 +922,7 @@
\cs_new_protected:Npn \__nmc_table_header_auxi:Nn #1#2
{
\seq_put_right:Nx #1 { \__nmc_table_header_nudge:Nnn c
- { \exp_not:n { #2 } } \l__nmc_table_chnudge_tl }
+ { \exp_not:o { #2 } } \l__nmc_table_chnudge_tl }
}
\cs_generate_variant:Nn \__nmc_table_header_auxi:Nn { NV,Nx }
@@ -897,12 +947,13 @@
\cs_new:Npn \__nmc_table_header_nudge:Nnn #1#2#3
{ % #1=r(ow)/c(ol), #2=var, #3=nudge
\tl_if_eq:cNTF { l__nmc_table_ #1 calign_tl } \c__nmc_r_tl
- { $ #2 #3 $ }
+ { $ #2 #3 $ }
{
\tl_if_eq:cNTF { l__nmc_table_ #1 calign_tl } \c__nmc_l_tl
{ $ #3 #2 $ } { $ #2 $ }
}
}
+\cs_generate_variant:Nn \__nmc_table_header_nudge:Nnn { NnV }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\cs_new_protected:Npn \__nmc_table_form_body:N #1
{ % #1 <== \l__nmc_result_tl
@@ -976,9 +1027,13 @@
}
\cs_new_protected:Npn \__nmc_table_form_body_cvcols:N #1
{ % #1 \l__nmc_result_tl
+ \bool_if:NT \l__nmc_table_round_bool
+ { \__nmc_table_cvround_pre: }
\seq_clear:N \l_tmpd_seq
\seq_map_variable:NNn \l__nmc_table_body_cols_seq \l_tmpa_seq
- {
+ {
+ \bool_if:NT \l__nmc_table_round_bool
+ { \__nmc_table_rvround_pre: }
\seq_clear:N \l_tmpb_seq
\__nmc_table_form_cols:NN \l_tmpa_seq \l_tmpb_seq
\seq_put_right:NV \l_tmpd_seq \l_tmpb_seq
@@ -1042,6 +1097,8 @@
{ 2 } { \__nmc_table_form_cols_rii:NN #1#2 }
}
{ \__nmc_table_form_cols_riii:NN #1#2 }
+ \bool_if:NT \l__nmc_table_round_bool
+ { \__nmc_table_cvround_post: }
}
\cs_new_protected:Npn \__nmc_table_form_cols_ri:NN #1#2
{
@@ -1083,7 +1140,9 @@
}
\cs_new_protected:Npn \__nmc_table_form_cols_riii:NN #1#2
{
- \__nmc_table_form_cols_rii_aux:NN #1#2
+ \__nmc_table_form_cols_rii_aux:NN #1#2
+ \bool_if:NT \l__nmc_table_round_bool
+ { \__nmc_table_rvround_post: }
\int_set_eq:NN \l__nmc_table_c_int \l__nmc_table_b_int
\int_set_eq:NN \l__nmc_table_b_int \l__nmc_table_a_int
\seq_map_variable:NNn #1 \l_tmpa_fp
@@ -1100,6 +1159,8 @@
\fp_set_eq:NN \l_tmpb_fp \l_tmpa_fp
\int_set_eq:NN \l__nmc_table_c_int \l__nmc_table_b_int
\int_set_eq:NN \l__nmc_table_b_int \l__nmc_table_a_int
+ \bool_if:NT \l__nmc_table_round_bool
+ { \__nmc_table_rvround_post: }
}
\int_set:Nn \l__nmc_table_a_int { 1 }
\__nmc_table_signs:
@@ -1206,9 +1267,15 @@
{ \seq_set_from_clist:No \l__nmc_table_rdata_seq \l_tmpa_tl }
{ \__nmc_error_what:n { File~#1~not~found~in } }
}
+\cs_new_protected:Npn \__nmc_table_rounding:n #1
+ {
+ \bool_set:Nn \l__nmc_table_round_bool { !\tl_if_blank_p:n { #1 } }
+ \tl_set:Nn \l__nmc_round_xpr_tl { #1 }
+ }
\keys_define:nn { numerica/table }
{
view .code:n = \__nmc_dbg_int:nn { 1 } { 11 },
+ round .code:n = \__nmc_table_rounding:n { #1 },
%
rvar .tl_set:N = \l__nmc_table_rvar_tl,
rstop .tl_set:N = \l__nmc_table_rstop_tl,
@@ -1253,10 +1320,10 @@
chround .int_set:N = \l__nmc_table_chround_int,
%
ctitle .tl_set:N = \l__nmc_table_ctitle_tl,
+ cmidrow .tl_set:N = \l__nmc_table_csubttl_tl,
csubttl .tl_set:N = \l__nmc_table_csubttl_tl,
- csubttl .tl_set:N = \l__nmc_table_csubttl_tl,
- header .int_set:N = \l__nmc_table_header_int,
- header .initial:n = 1,
+ headless .int_set:N = \l__nmc_table_headless_int,
+ headless .initial:n = 0,
rules .tl_set:N = \l__nmc_table_rules_tl,
rules .initial:n = ThB,
foot .tl_set:N = \l__nmc_table_footer_tl,
diff --git a/macros/latex/contrib/numerica-tables/numerica-tables.tex b/macros/latex/contrib/numerica-tables/numerica-tables.tex
index 47db7981a0..29f0e48129 100644
--- a/macros/latex/contrib/numerica-tables/numerica-tables.tex
+++ b/macros/latex/contrib/numerica-tables/numerica-tables.tex
@@ -18,6 +18,8 @@
\usepackage{url}
\usepackage{multirow}
\usepackage{amsmath}
+\usepackage{makeidx}
+\makeindex
\usepackage[pdfusetitle,
bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,bookmarksopenlevel=2,
breaklinks=false,pdfborder={0 0 1},backref=section,colorlinks=true]
@@ -52,13 +54,15 @@
\DeclareMathOperator{\gd}{gd}
\usepackage{upquote}
\usepackage{xfrac}
+\usepackage[indentunit=1em,totoc,columnsep=1.5em,
+initsep=10.25pt plus 5pt minus 3pt]{idxlayout}
\reuse{}
\makeatother
\begin{document}
\title{\texttt{numerica-tables}~\\
-{\large version 3.0.0}}
+{\large version 3.1.0}}
\author{Andrew Parsloe\\
(\url{ajparsloe@gmail.com})}
\maketitle
@@ -74,7 +78,7 @@ the \texttt{numerica} package to be loaded.\medskip{}
\noindent\begin{minipage}[t]{1\columnwidth}%
\begin{shaded}%
\begin{itemize}
-\item This document applies to version 3.0.0 of \texttt{numerica-tables}.
+\item This document applies to version 3.1.0 of \texttt{numerica-tables}.
\item Version 3 of \texttt{numerica} needs to be loaded before \texttt{numerica-tables};
(\texttt{numerica} requires \texttt{amsmath}, \texttt{mathtools} and
a reasonably recent \LaTeX{} system).
@@ -83,17 +87,24 @@ a reasonably recent \LaTeX{} system).
Functions}, edited by Milton Abramowitz and Irene A. Stegun, Dover,
1965, abbreviated to \emph{HMF}, and often followed by a reference,
like Table 1.2, to a specific table.
+\item Version 3.1.0 of \texttt{numerica-tables}
+\begin{itemize}
+\item adds an index to the documentation;
+\item adds the ability to round table entries to different values depending
+on row or column (or both) in the table;
+\item fixes two minor presentation bugs.
+\end{itemize}
\item Version 3.0.0 of \texttt{numerica-tables}
\begin{itemize}
\item adds the ability to use numbers or expressions from
\begin{itemize}
-\item a comma list for row-variable values, either as values or verbatim;
-\item a macro containing a comma list for row-variable values, either as
+\item a comma list for row variable values, either as values or verbatim;
+\item a macro containing a comma list for row variable values, either as
values or verbatim;
-\item a file for row-variable values, either as values or verbatim;
+\item a file for row variable values, either as values or verbatim;
\end{itemize}
\item adds the ability to use functions of a stepped variable to generate
-varyingly stepped row-variable values;
+varyingly stepped row variable values;
\item adds the ability to suppress the header row;
\item is compatible with the additional features of \texttt{numerica} version
3.0.0,
@@ -126,20 +137,21 @@ be loaded explicitly (as above), with options if desired, \emph{before}
\texttt{numerica-tables}. It is \emph{essential} that the version
of \texttt{numerica} loaded is version 3.
-All tables are `formal tables' in the sense of the \texttt{booktabs}
+All tables are `formal tables' in the sense of the \texttt{booktabs}\index{booktabs@\texttt{booktabs}}
package, which is loaded automatically. Such tables have no vertical
-rules and few horizontal rules.
+rules\index{rules} and few horizontal rules.
\section{Table structure}
-I take as my source of models of mathematical tables those presented
-in \emph{Handbook of Mathematical Functions}, edited by Milton Abramowitz
-and Irene A. Stegun, Dover, 1965, not because the typesetting is elegant
-(it often isn't) but because \emph{HMF} displays a wide variety of
-table styles. The editors of that volume were faced with a host of
-different problems requiring a host of different solutions. The \verb`\nmcTabulate`
-command of \texttt{numerica-tables} aims to reproduce most of those
-different solutions, within \verb`booktabs` elegance.
+I\index{table structure} take as my source of models of mathematical
+tables those presented in \emph{Handbook of Mathematical Functions},
+edited by Milton Abramowitz and Irene A. Stegun, Dover, 1965, not
+because the typesetting is elegant (it often isn't) but because \emph{HMF}
+displays a wide variety of table styles. The editors of that volume
+were faced with a host of different problems requiring a host of different
+solutions. The \verb`\nmcTabulate` command of \texttt{numerica-tables}
+aims to reproduce most of those different solutions, within \texttt{booktabs}
+\index{booktabs@\texttt{booktabs}} elegance.
To create a table we need to specify a function or functions to tabulate.
The values a function takes will generally depend on a primary parameter
@@ -154,30 +166,30 @@ to a second parameter generates a second, third,\ldots{} column. Sometimes
rather than a second parameter, a second, third, \ldots{} function
of the first parameter is tabulated in the successive columns.
-In this document the first parameter is called the \emph{row variable}
+In this document the first parameter is called the \emph{row variable}\index{row variable}
\textendash{} its value determines which row we are in; the second
-parameter, if present, is called the \emph{column variable \textendash{}
-}its value determines which column we are in. A table generally (but
-not always) presents the values of the row variable in the first column,
-the \emph{row-variable column}, sometimes in distinctive type (e.g.
-bolded). The values of the column variable are presented in a \emph{header
-row} above the table body of function values. Above the header row
-there may be a \emph{title row} and perhaps a \emph{subtitle row}
-where other explanatory material can be displayed. Sometimes there
-is a \emph{footer row} beneath the table body. Vertical rules are
-absent, horizontal rules used sparingly \textendash{} for example,
-at the top and bottom of the table, or under the header row, but not
-in the body of the table.
+parameter, if present, is called the \emph{column variable\index{column variable}}
+\emph{\textendash{} }its value determines which column we are in.
+A table generally (but not always) presents the values of the row
+variable in the first column, the \emph{row variable column}, sometimes
+in distinctive type (e.g. bolded). The values of the column variable
+are presented in a \emph{header row} above the table body of function
+values. Above the header row there may be a \emph{title row} and perhaps
+a \emph{subtitle row} where other explanatory material can be displayed.
+Sometimes there is a \emph{footer row} beneath the table body. Vertical
+rules are absent, horizontal rules used sparingly \textendash{} for
+example, at the top and bottom of the table, or under the header row,
+but not in the body of the table.
\section{Shared syntax}
-The \verb`\nmcTabulate` command (short-name form \verb`\tabulate`)
+The \verb`\nmcTabulate`\index{nmcTabulate@\texttt{\textbackslash nmcTabulate}}
+command (short-name form \verb`\tabulate`\index{tabulate@\texttt{\textbackslash tabulate}|see{\texttt{\textbackslash nmcTabulate}}})
shares the syntax of \verb`\nmcEvaluate` (see \texttt{numerica.pdf}).
When all options are used the command looks like
\begin{verbatim}
\nmcTabulate*[settings]{expr.}[vv-list][num. format]
\end{verbatim}
-\selectlanguage{english}%
\begin{enumerate}
\item \verb`*` optional switch; if present ensures a single number output
with no formatting, or an appropriate error message if the single
@@ -187,13 +199,13 @@ this option is at the heart of creating a table of function values;
see Chapter~\ref{chap:=00005CnmcTabulate-settings};
\item \verb`{expr.}` mandatory argument specifying the mathematical expression
or expressions in \LaTeX{} form to be tabulated;
-\item \verb`[vv-list]` comma-separated list (or semicolon-sepaprated list
+\item \verb`[vv-list]` comma-separated list (or semicolon-separated list
if the \verb`comma` package option is used with \texttt{numerica})
of \emph{variable=value }items, in particular containing the initial
value of the row variable, and column variable if one is used;
\item \verb`[num. format]` optional format specification for presentation
of the numerical results (rounding, padding with zeros, scientific
-notation, fraction-form output); see \ref{subsec:Trailing-optional-argument}.
+notation, fraction-form output); see \ref{subsec:Trailing-optional-argument}.\index{rounding value}
\end{enumerate}
Unlike \verb`\nmcEvaluate` (the main command in\texttt{ numerica}),
for \verb`\nmcTabulate` the two apparently optional arguments straddling
@@ -204,15 +216,17 @@ contains items \emph{necessary} for the construction of any table
of function values.
Should \texttt{numerica} be loaded with the \verb`comma` package
-option, numbers in tables will be displayed with a decimal comma.
-In this case items in the vv-list \emph{must} be separated by a semicolon
+option, numbers in tables will be displayed with a decimal comma\index{decimal comma}.
+In this case items in the vv-list\index{vv-list!and decimal comma}
+\emph{must} be separated by a semicolon\index{semicolon and decimal comma}
since the decimal comma is likely to feature there. Similarly, $n$-ary
-functions \textendash{} \verb`\max`, \verb`\min` and \verb`\gcd`
+functions \textendash{} \verb`\max`, \verb`\min` and \verb`\gcd`\index{n-ary@$n$-ary functions}
\textendash{} must use the semicolon as their argument separator.
Math environments are significant for \verb`\nmcEvaluate`. They are
-essentially irrelevant for \verb`\nmcTabulate`, although an external
-environment may determine how a table is positioned on the page (\verb`\[ <table> \]`
+essentially irrelevant for \verb`\nmcTabulate`\index{nmcTabulate@\texttt{\textbackslash nmcTabulate}}\index{environments},
+although an external environment may determine how a table is positioned
+on the page\index{table placement!on the page} (\verb`\[ <table> \]`
for instance will centre the table between the margins). Environments
specified in the main argument (the formula) should be avoided. \verb`$ $`,
\verb`\( \)` or \verb`\[ \]` will not cause error, but a \verb`\begin`\textendash \verb`\end`
@@ -229,8 +243,8 @@ of their use in the following examples.
\label{chap:=00005CnmcTabulate-settings}In addition to the shared
settings, \verb`\nmcTabulate` has many settings specific to it. They
are discussed in groups in subsequent sections, some in more than
-one place. For the main discussion of row-variable settings, see \ref{sec:Row-variable-settings};
-for column-variable settings see \ref{sec:Column-variable-settings};
+one place. For the main discussion of row variable settings, see \ref{sec:Row-variable-settings};
+for column variable settings see \ref{sec:Column-variable-settings};
for whole-of-table formatting see \ref{sec:Whole-of-table-formatting};
for formatting the function values in table cells see \ref{sec:Function-value-formatting}.
@@ -257,18 +271,21 @@ for formatting the function values in table cells see \ref{sec:Function-value-f
\end{tabular}
\par\end{center}
\end{table}
-Deciding on a function to tabulate (entered in the main or mandatory
-argument of \verb`\nmcTabulate`) will inevitably also mean deciding
-on the tabulation variable, the \emph{row} variable, \verb`rvar`,
-what value to start tabulating from \textendash{} \emph{that} is specified
-in the vv-list and so does not need a specific key \textendash{} what
-value to tabulate to, \verb`rstop`, and how fine-grained the tabulation
-is to be, the step size \verb`rstep`. In the uniform case (which
-makes up the overwhelming majority of cases in \emph{HMF} for instance)
-the step size is constant. It does not change as the value of the
-row variable changes. (The non-uniform case, available from version
-3.0.0 of \texttt{numerica-tables}, is discussed in \ref{subsec:Row-var-spec-nonuniform}
-below. Quite different keys are required.)
+Deciding\index{row variable!start, step, stop values|(} on a function
+to tabulate (entered in the main or mandatory argument of \verb`\nmcTabulate`)
+will inevitably also mean deciding on the tabulation variable, the
+\emph{row} variable, \verb`rvar`\index{rvar@\texttt{rvar}}, what
+value to start tabulating from \textendash{} \emph{that} is specified
+in the vv-list\index{vv-list!row/col. variable initial values}\index{row variable!initial value in vv-list}
+and so does not need a specific key \textendash{} what value to tabulate
+to, \verb`rstop`\index{rstop@\texttt{rstop}}, and how fine-grained
+the tabulation is to be, the step size \verb`rstep`\index{rstep@\texttt{rstep}}.
+In the uniform case (which makes up the overwhelming majority of cases
+in \emph{HMF} for instance) the step size is constant. It does not
+change as the value of the row variable changes. (The non-uniform
+case, available from version 3.0.0 of \texttt{numerica-tables}, is
+discussed in \ref{subsec:Row-var-spec-nonuniform} below. Quite different
+keys are required.)
The two tables in the example below tabulate $\sin x$ and $\cos x$
between $0$ and $1$ in increments of $0.2$. Note that the start
@@ -290,8 +307,9 @@ size equal to the reciprocal of the \emph{initial }value of the row
variable.
The difference in appearance of the two tables results from padding
-with zeros in the second (the asterisk in the trailing optional argument
-has the same effect in \verb`\nmcTabulate` as in \verb`\nmcEvaluate`).
+with zeros\index{function value formatting!padding with zeros}\index{padding with zeros}
+in the second (the asterisk in the trailing optional argument has
+the same effect in \verb`\nmcTabulate` as in \verb`\nmcEvaluate`).
As you can see, padding applies not only to the values of the function
but also to the values of the row variable, although that has been
padded to only $1$ decimal place rather than the $6$ of the function
@@ -309,21 +327,21 @@ $\Longrightarrow$ \tabulate[rvar=x,rstep=0.2,rstop=1]
{ \cos x }[x=0][*]\medskip{}
Sometimes (perhaps often) it may prove more convenient to specify
-the number of rows, \verb`rows`, to tabulate rather than a stop value.
-Only one of \verb`rows` and \verb`rstop` should be given, but if
-both (inadvertently) are present, it is the value of \verb`rows`
-that prevails. The first of the following three tables shows an example
-where \verb`rows` is specified.
-
-The second and third tables use an abbreviated form of the row-variable
-specification, \verb`rspec`. This is a three-element comma list,
-\verb`{rvar,rstep,rows}`. The second table gives a straightforward
-example. In the third table a \LaTeX{} expression has been inserted
-for \verb`rows` in the \verb`rspec` comma list. Like \verb`rstep`
-and \verb`rstop`, \verb`rows` can be a \LaTeX{} expression, but it
-is evaluated \emph{before} the vv-list and therefore, unlike \verb`rstep`
-and \verb`rstop`, cannot depend on quantites specified there like
-the initial row variable value.
+the number of rows, \verb`rows`\index{rows@\texttt{rows}}, to tabulate
+rather than a stop value. Only one of \verb`rows` and \verb`rstop`
+should be given, but if both (inadvertently) are present, it is the
+value of \verb`rows` that prevails. The first of the following three
+tables shows an example where \verb`rows` is specified.
+
+The second and third tables use an abbreviated form of the row variable
+specification, \verb`rspec`\index{rspec@\texttt{rspec}}. This is
+a three-element comma list, \verb`{rvar,rstep,rows}`. The second
+table gives a straightforward example. In the third table a \LaTeX{}
+expression has been inserted for \verb`rows` in the \verb`rspec`
+comma list. Like \verb`rstep` and \verb`rstop`, \verb`rows` can
+be a \LaTeX{} expression, but it is evaluated \emph{before} the vv-list
+and therefore, unlike \verb`rstep` and \verb`rstop`, cannot depend
+on quantites specified there like the initial row variable value.
\begin{verbatim}
\tabulate[rvar=x,rstep=0.2,rows=6]
{ \sin x/\cos x }[x=0][*] \qquad
@@ -337,14 +355,14 @@ $\Longrightarrow$ \tabulate[rvar=x,rstep=0.2,rows=6]
\tabulate[rspec={x,0.2,6}]
{ \tan x }[x=0][*] \qquad
\tabulate[rspec={x,0.2,1+(1/0.2)}]
- { \sqrt{\sec^2 x - 1} }[x=0][*]\medskip{}
+ { \sqrt{\sec^2 x - 1} }[x=0][*]\index{row variable!start, step, stop values|)}\medskip{}
\subsection{Row variable specification: non-uniform case}
\label{subsec:Row-var-spec-nonuniform}
\begin{table}[b]
-\centering{}\caption{Non-uniform row-variable specification}
+\centering{}\caption{Non-uniform row variable specification}
\begin{center}
\begin{tabular}{ll>{\raggedright}p{4cm}>{\raggedright}p{3cm}}
\toprule
@@ -370,22 +388,24 @@ of function values at thoroughly irregular, perhaps experimentally
determined, values.
\texttt{numerica-tables} provides two means of specifying such row
-variables, either by means of a row-variable function (\verb`rfunc`),
-when the row-variable values change in a non-uniform but formulaic
-way, or by explicitly listing the row-variable values in a comma list
-(\verb`rdata`, \verb`rfile`). In this latter case, a setting \verb`rverb`
-enables the row-variable column to be displayed either as a sequence
+variables, either by means of a row variable function (\verb`rfunc`\index{rfunc@\texttt{rfunc}}),
+when the row variable values change in a non-uniform but formulaic
+way, or by explicitly listing the row variable values in a comma list
+(\verb`rdata`\index{rdata@\texttt{rdata}}, \verb`rfile`\index{rfile@\texttt{rfile}}).
+In this latter case, a setting \verb`rverb`\index{rverb@\texttt{rverb}}
+enables the row variable column to be displayed either as a sequence
of \emph{values} or verbatim as a sequence of \emph{expressions} \textendash{}
like fractions of $\pi$.
\subsubsection{\texttt{rfunc}}
-Suppose \textendash{} perhaps with an interest in the distribution
-of prime numbers \textendash{} that we want to create a small table
-of values of $n/\ln n$ for, say, $n=10$, $100$, 1000, $10000$,
-$\ldots$ The prospective row variable $n$ is not increasing in constant
-steps, although clearly in a regular manner. We handle such cases
-with the \verb`rfunc` setting; in the present instance \verb`rfunc=10^n`
+\index{rfunc@\texttt{rfunc}|(}\index{row variable!variably stepped|(}Suppose
+\textendash{} perhaps with an interest in the distribution of prime
+numbers \textendash{} that we want to create a small table of values
+of $n/\ln n$ for, say, $n=10$, $100$, 1000, $10000$, $\ldots$
+The prospective row variable $n$ is not increasing in constant steps,
+although clearly in a regular manner. We handle such cases with the
+\verb`rfunc` setting; in the present instance \verb`rfunc=10^n`
where now \verb`n` does increment by a constant amount:
\begin{verbatim}
\tabulate[rpos=1,rfunc=10^n,rvar=n,rstep=1,
@@ -406,22 +426,23 @@ add further keys to specify a distinct step function variable and
its start, step and stop values, but the list of keys to specify a
table is already large. The `double usage' implemented, perhaps
confusing initially, economizes on keys and is invisible to the reader
-of the table. The initial value \verb`n=1` in the vv-list applies
-to the row-variable function \verb`10^n`, not to the function being
-tabulated (so the error-producing expression \verb`1/\ln 1` does
-not arise).
-
-\subsubsection{\texttt{rdata}, \texttt{rfile}, \texttt{rverb}}
-
-\label{subsec:rdata-rfile-rverb}One source of difficulty in reading
-the previous table is working out just how many zeros there are in
-the larger numbers in the left column. It would be more readable `at
-a glance' if we could write those in scientific notation. To do that
-we use the \verb`rdata` and \verb`rverb` keys. In the first of the
-examples below, \verb`rverb` is absent (corresponding to the default
-\verb`rverb=0`); in the second \verb`rverb=1`, the effect of which
-is to use verbatim the row-variable values provided in the \verb`rdata`
-comma list:
+of the table. The initial value \verb`n=1`\index{vv-list!row/col. variable initial values}
+in the vv-list applies to the row variable function \verb`10^n`,
+not to the function being tabulated (so the error-producing expression
+\verb`1/\ln 1` does not arise).\index{rfunc@\texttt{rfunc}|)}\index{row variable!variably stepped|)}
+
+\subsubsection{\texttt{rdata}, \texttt{rfile}, \texttt{rverb} }
+
+\label{subsec:rdata-rfile-rverb}One\index{row variable!values from list, macro or file|(}
+source of difficulty in reading the previous table is working out
+just how many zeros there are in the larger numbers in the left column.
+It would be more readable `at a glance' if we could write those
+in scientific notation. To do that we use the \verb`rdata`\index{rdata@\texttt{rdata}|(}
+and \verb`rverb`\index{rverb@\texttt{rverb}|(} keys. In the first
+of the examples below, \verb`rverb` is absent (corresponding to the
+default \verb`rverb=0`); in the second \verb`rverb=1`, the effect
+of which is to use verbatim the row variable values provided in the
+\verb`rdata` comma list:\index{row variable!verbatim values|(}
\begin{verbatim}
\tabulate[rdata={10,100,1000,10^4,10^5,10^6,10^7},
rvar=n,rround=0,ralign=l]
@@ -453,32 +474,33 @@ command gains access to the values stored in them.
\def\mydatai{\tfrac12\pi,\tfrac13\pi,\tfrac23\pi,
\tfrac14\pi,\tfrac34\pi}
\renewcommand\arraystretch{1.2}
- \tabulate[rdata=\mydatai,rverb=1,rvar=k,header=0]
+ \tabulate[rdata=\mydatai,rverb=1,rvar=k,headless=1]
{ k }[6*]
\renewcommand\arraystretch{1} \qquad
\def\mydataii{\sfrac\pi2,\sfrac\pi3,\sfrac{2\pi}3,
\sfrac\pi4,\sfrac{3\pi}4}
- \tabulate[rdata=\mydataii,rverb=1,rvar=k,header=0]
+ \tabulate[rdata=\mydataii,rverb=1,rvar=k,headless=1]
{ k }[6*]
\end{verbatim}
$\Longrightarrow$ \renewcommand\arraystretch{1.2}
\def\mydatai{\tfrac12\pi,\tfrac13\pi,
\tfrac23\pi,\tfrac14\pi,\tfrac34\pi}
- \tabulate[rdata=\mydatai,rverb=1,rvar=k,header=0 ]
+ \tabulate[rdata=\mydatai,rverb=1,rvar=k,headless=1 ]
{ k }[6*]
\renewcommand\arraystretch{1} \qquad
\def\mydataii{\sfrac\pi2,\sfrac\pi3,
\sfrac{2\pi}3,\sfrac\pi4,\sfrac{3\pi}4}
- \tabulate[rdata=\mydataii,rverb=1,rvar=k,header=0]
+ \tabulate[rdata=\mydataii,rverb=1,rvar=k,headless=1]
{ k }[6*]\medskip{}
-The setting \verb`header=0` (see \ref{subsec:Header-row-suppress})
+The setting \verb`headless=1`\index{headless@\texttt{headless}}
+(see \ref{subsec:Header-row-suppress})\index{header row|see{column variable header, \texttt{headless}, row variable header}}
means the tables have no header row. To accommodate the tower of \verb`\tfrac`-s
-in the first column of the first table, \verb`\arraystretch` has
-been used to add more space between the rows (and re-set afterwards).
-Through the virtues of \verb`\sfrac` it is unnecessary in the second
-table which is neater and more readable to my eye. But even better
-is the example at \ref{subsec:rfracFraction-form-rvar}.
+in the first column of the first table, \verb`\arraystretch`\index{arraystretch@\texttt{\textbackslash arraystretch}}
+has been used to add more space between the rows (and re-set afterwards).
+Through the virtues of \verb`\sfrac` \index{sfrac@\texttt{\textbackslash sfrac}}
+it is unnecessary in the second table which is neater and more readable
+to my eye. But even better is the example at \ref{subsec:rfracFraction-form-rvar}.
Note that the row variable can be chosen arbitrarily \textendash{}
I earlier used \verb`n` and have used \verb`k` here but it could
@@ -488,50 +510,50 @@ in a multi-column setting in \ref{subsec:Headerstyle:-multi-column-case}.
The identity function was appropriate for tables showing the decimal
values of symbolic constants, as was the \verb`rverb=1` setting.
The \verb`rverb` setting applies \emph{only} to the \verb`rdata`
-and \verb`rfile` keys. It has no effect otherwise.
+and \verb`rfile` keys. It has no effect otherwise.\index{row variable!verbatim values|)}\index{rverb@\texttt{rverb}|)}\index{rdata@\texttt{rdata}|)}
In addition to a comma list or macro, data for the row variable can
also be stored in a file of comma-separated values \textendash{} say
\verb`mydata.txt`. If \verb`mydata.txt` is placed in the directory
-of the current document and \verb`rfile=mydata.txt` entered in the
-settings option of the \verb`\tabulate` command, the file will be
-found and the values used for the row variable. Alternatively, the
-file could be placed in your \verb`texmf` tree and your \TeX{} distro
-alerted to its presence (by refreshing the filename database). Again
-\verb`rfile=mydata.txt` in the settings option will ensure the file
-is found and the contents used for the row-variable values. Or, the
-file could be stored elsewhere and the \verb`rfile` key equated to
-the full path and filename \textendash{} something like \verb`rfile=e:/mydocs/mydatafiles/mydata.txt`.
+of the current document and \verb`rfile=mydata.txt`\index{rfile@\texttt{rfile}}
+entered in the settings option of the \verb`\tabulate` command, the
+file will be found and the values used for the row variable. Alternatively,
+the file could be placed in your \verb`texmf` tree and your \TeX{}
+distro alerted to its presence (by refreshing the filename database).
+Again \verb`rfile=mydata.txt` in the settings option will ensure
+the file is found and the contents used for the row variable values.
+Or, the file could be stored elsewhere and the \verb`rfile` key equated
+to the full path and filename \textendash{} something like \verb`rfile=e:/mydocs/mydatafiles/mydata.txt`.
This ensures the file will be found and the contents used for the
row variable values. Note that even in Windows systems (where file
paths use backslashes) the path requires that forward slashes only
-be used.
+be used. \index{row variable!values from list, macro or file|)}
-\subsection{Row-variable column formatting}
+\subsection{Formatting row variable values \& column}
\label{subsec:Row-var-col-formatting}The padding option ({*}) of
-the trailing optional argument is one way of formatting the row-variable
-column, but to how many decimal places? Aligned left or right or centred?
+the trailing optional argument is one way of formatting the row variable
+values, but to how many decimal places? Aligned left or right or centred?
Under what heading \textendash{} the example tables so far have simply
used the row variable for the header? And should the row variable
column be at the left of the table, or the right \textendash{} or
both? These and related questions are answered by assigning values
to the keys listed in Table~\ref{tab:Formatting-the-row-variable}.
\begin{table}[tb]
-\centering{}\caption{\protect\label{tab:Formatting-the-row-variable}Formatting the row-variable
-column}
+\centering{}\caption{\protect\label{tab:Formatting-the-row-variable}Formatting the row
+variable column}
\begin{center}
\begin{tabular}{ll>{\raggedright}p{4cm}l}
\toprule
{\small key} & {\small type} & {\small meaning} & {\small initial}\tabularnewline
\midrule
{\small\texttt{rround}} & {\small int} & {\small rounding} & {\small\texttt{1}}\tabularnewline
-{\small\texttt{ralign}} & {\small char (}{\small\texttt{r/c/l}}{\small )} & {\small horizontal alignment} & {\small\texttt{r}}\tabularnewline
{\small\texttt{rfont}} & {\small chars} & {\small font (}{\small\verb`\math<chars>`}{\small )} & \tabularnewline
+{\small\texttt{ralign}} & {\small char (}{\small\texttt{r/c/l}}{\small )} & {\small horizontal alignment} & {\small\texttt{r}}\tabularnewline
{\small\texttt{rhead}} & {\small tokens} & {\small header} & {\small\texttt{rvar}}\tabularnewline
{\small\texttt{rhnudge}} & int & {\small nudge header }{\small{\small\verb`<int>`}}{\small{} mu} & {\small\texttt{0}}\tabularnewline
-{\small\texttt{rpos}} & {\small int (}{\small\texttt{0}}{\small\ldots}{\small\texttt{4}}{\small )} & {\small column position(s) } & {\small\texttt{1}}\tabularnewline
-{\small\texttt{rvar'}} & {\small tokens} & {\small 2nd row-variable col. spec. } & {\small\texttt{rvar}}\tabularnewline
+{\small\texttt{rpos}} & {\small int (}{\small\texttt{0}}{\small\ldots}{\small\texttt{4}}{\small )} & {\small column placement} & {\small\texttt{1}}\tabularnewline
+{\small\texttt{rvar'}} & {\small tokens} & {\small 2nd row variable col. spec. } & {\small\texttt{rvar}}\tabularnewline
{\small\texttt{rhead'}} & {\small tokens} & {\small header of 2nd rv col. (if it exists)} & {\small\texttt{rvar'}}\tabularnewline
{\small\texttt{rhnudge'}} & int & {\small nudge 2nd rv col. header }{\small{\small\verb`<int>`}}{\small{}
mu} & {\small\texttt{0}}\tabularnewline
@@ -544,16 +566,17 @@ mu} & {\small\texttt{0}}\tabularnewline
\subsubsection{Rounding: \texttt{rround}}
-After studying some of the previous tables, we might decide to adjust
-the step size, say from $0.2$ to $0.25$. But changing \verb`rstep`
+After\index{rounding value!row variable|(}\index{rround@\texttt{rround}|(}\index{formatting!row variable values|(}
+studying some of the previous tables, we might decide to adjust the
+step size, say from $0.2$ to $0.25$. But changing \verb`rstep`
to the new value gives a disconcerting result. \texttt{numerica-tables}
uses a default rounding value of $1$ for the row variable and has
rounded $0.25$ down to $0.2$, then $0.2+0.25=0.45$ down to $0.4$,
then $0.4+0.25=0.65$ down to $0.6$, then $0.6+0.25=0.85$ down to
$0.8$, at which point it stops since $0.8+0.85>1$ which is the stopping
value. The rounded-down values are the values used for caclulating
-the sines. The second table corrects matters by adjusting the row-variable
-rounding with \verb`rround=2`.
+the sines. The second table corrects matters by adjusting the row
+variable rounding with \verb`rround=2`.
\begin{verbatim}
\tabulate[rvar=x,rstep=0.25,rstop=1]
{ \sin x }[x=0][*] (Eh???) \quad
@@ -563,39 +586,42 @@ rounding with \verb`rround=2`.
$\Longrightarrow$ \tabulate[rvar=x,rstep=0.25,rstop=1]
{ \sin x }[x=0][*](Eh???) \quad
\tabulate[rvar=x,rstep=0.25,rstop=1,rround=2]
- { \sin x }[x=0][*]
+ { \sin x }[x=0][*]\index{rround@\texttt{rround}|)}\index{rounding value!row variable|)}
-\subsubsection{Alignment: \texttt{ralign}}
+\subsubsection{Font: \texttt{rfont}}
-By default, the alignment of all columns is to the right, as in the
-previous examples. This lends itself to neat output when padding with
-zeros is activated (the \verb`*` in the trailing argument) and when
-some values are negative \textendash{} minus signs can interfere
-with neat output in left or centred alignments. But in a case like
-the second table in the last example, you might prefer to centre the
-headers for both the row and function-value columns. These alignments
-are independently set. For the row-variable column the default alignment
-is to the right \verb`ralign=r`; \verb`ralign=l` (lowercase L) aligns
-entries in the row-variable column to the left, and \verb`ralign=c`
-centres entries in the row-variable column. The tables of the next
-example use a \verb`c` alignment to centre the row-variable column
-header. The third of those tables shows how minus signs spoil the
-effect.
+In\index{rfont@\texttt{rfont}} the second table below bolding by
+means of the setting \verb`rfont=bf` has been applied to emphasize
+the distinction between the row variable values and the function values.
+Possible values for this key are those characters that can be adjoined
+to \verb`\math` to give a meaningful result. Thus other valid values
+are \verb`it` (italic), \verb`sf` (sans serif), \verb`tt` (typewriter);
+\verb`frak` (Fraktur); also \verb`rm` (roman) is available, but
+that is the default.\index{formatting!row variable values|)}
-\subsubsection{Font: \texttt{rfont}}
+\subsubsection{Alignment: \texttt{ralign}}
-In the second table below bolding by means of the setting \verb`rfont=bf`
-has been applied to emphasize the distinction between the row-variable
-values and the function values. Possible values for this key are those
-characters that can be adjoined to \verb`\math` to give a meaningful
-result. Thus other valid values are \verb`it` (italic), \verb`sf`
-(sans serif), \verb`tt` (typewriter); \verb`frak` (Fraktur); also
-\verb`rm` (roman) is available, but that is the default.
+By\index{row variable column!alignment|(}\index{ralign@\texttt{ralign}}
+default, the alignment of all columns is to the right, as in previous
+examples. This lends itself to neat output when padding with zeros
+is activated (the \verb`*` in the trailing argument) and when some
+values are negative \textendash{} the minus signs interfere with
+neat output in left or centred alignments.\index{function value formatting!sign handling}
+But in a case like the second table in the last example, you might
+prefer to centre the headers for both the row and function-value columns.
+These alignments are independently set. For the row variable column
+the default alignment is to the right \verb`ralign=r`; \verb`ralign=l`
+(lowercase L) aligns entries in the row variable column to the left,
+and \verb`ralign=c` centres entries in the row variable column. The
+tables of the next example use a \verb`c` alignment to centre the
+row variable column header. The third of those tables shows how minus
+signs spoil the effect.
\subsubsection{Row-variable header: \texttt{rhead}}
-In the second and third tables, the header for the row-variable column
-has also been bolded. The default header is the row-variable symbol.
+In\index{rhead@\texttt{rhead}|(}\index{row variable header|(}\index{formatting!row variable header|(}
+the second and third tables, the header for the row variable column
+has also been bolded. The default header is the row variable symbol.
That can be replaced by giving a value to the key \verb`rhead`. I
have used \verb`rhead=\boldsymbol{x}` (rather than \verb`\mathbf{x}`)
in order to get an italicized bold symbol. Note that you do not need
@@ -624,11 +650,11 @@ $\Longrightarrow$ \tabulate
\tabulate
[rvar=x,rstep=0.25,rstop=0.5,rround=2,
ralign=c,rfont=bf,rhead=\boldsymbol{x}]
- { \sin x }[x=-0.5][*]\medskip{}
+ { \sin x }[x=-0.5][*]\index{rfont@\texttt{rfont}}\medskip{}
-In these tables the row-variable column has been given a centred alignment.
+In these tables the row variable column has been given a centred alignment.
The third table shows what goes wrong when \emph{some} values in the
-row-variable column are negative. Better then is to use padding, a
+row variable column are negative. Better then is to use padding, a
right alignment (the default), and to use a phantom in the header.
The first table below does this. The second table incorporates kerning
into the header to achieve the same effect:
@@ -652,28 +678,29 @@ $\Longrightarrow$ \tabulate
(To my eye, aligning the $\boldsymbol{x}$ above the first column
of digits after the decimal point gives a better result than truly
centring it in the column; compare these examples with the first two
-tables of the previous example.)
+tables of the previous example.)\index{rhead@\texttt{rhead}}\index{formatting!row variable header|)}
\subsubsection{Nudging~the~header: \texttt{rhnudge}}
-However, you might prefer to avoid inserting positioning commands
-into the actual row-variable header, obscuring its true content. You
-can avoid doing this by setting the key \texttt{rhnudge}.
+However\index{rhnudge@\texttt{rhnudge}|(}, you might prefer to avoid
+inserting positioning commands into the actual row variable header,
+obscuring its true content. You can avoid doing this by setting the
+key \verb`rhnudge`.
The first table below reverts to the default right alignment, avoids
-any positioning commands in the row-variable header, but instead nudges
-it into position with the setting \texttt{rhnudge=9}. For positive
+any positioning commands in the row variable header, but instead nudges
+it into position with the setting \verb`rhnudge=9`. For positive
nudge values, nudging works in the \emph{opposite} sense to the alignment.
The units for nudging are mu (math units, 18 to a quad), but only
a number \textendash{} generally an integer \textendash{} should be
specified; the `mu' is supplied by \verb`numerica-tables`.
In the second table below the row variable takes single digit integer
-values, while the row-variable name now occupies more than one character.
+values, while the row variable name now occupies more than one character.
With a right alignment the header would protrude out to the left.
-By giving \texttt{rhnudge} a \emph{negative} value (\texttt{rhnudge=-12}
-in the example) it is brought back to a centred position in the row-variable
-column.
+By giving \verb`rhnudge` a \emph{negative} value (\verb`rhnudge=-12`
+in the example) it is brought back to a centred position in the row
+variable column.
\begin{verbatim}
\tabulate[rvar=x,rstep=0.25,rstop=0.5,rround=2,
rfont=bf,rhead=\boldsymbol{x},rhnudge=9]
@@ -691,35 +718,35 @@ $\Longrightarrow$ \tabulate
[rvar=x_{\text{int}},rstep=1,rstop=4,
rround=0,rfont=bf,rhnudge=-12,
rhead=\boldsymbol{x_{\text{int}}}]
- { \sin x_{\text{int}} }[x_{\text{int}}=0][4*]
+ { \sin x_{\text{int}} }[x_{\text{int}}=0][4*]\index{row variable header|)}\index{rhnudge@\texttt{rhnudge}|)}
\subsubsection{Position in the table: \texttt{rpos}}
-\label{subsec:Row-var-col-pos}By default, the row-variable column
-is the \emph{first} column of the table. Its position is determined
-by the value of the key \texttt{rpos}:
+\label{subsec:Row-var-col-pos}\index{row variable column!position in table}\index{rpos@\texttt{rpos}}By
+default, the row variable column is the \emph{first} column of the
+table. Its position is determined by the value of the key \texttt{rpos}:
\begin{itemize}
-\item \texttt{rpos=0}, suppressed (no row-variable column);
-\item \texttt{rpos=1}, first column (the default);
-\item \texttt{rpos=2}, last column;
-\item \texttt{rpos=3}, first and last columns;\texttt{ }
-\item \texttt{rpos=4}, first and last columns, with the values in the last
+\item \verb`rpos=0`, suppressed (no row variable column);
+\item \verb`rpos=1`, first column (the default);
+\item \verb`rpos=2`, last column;
+\item \verb`rpos=3`, first and last columns;\texttt{ }
+\item \verb`rpos=4`, first and last columns, with the values in the last
column a user-defined function of the first; see \ref{subsec:Second-row-var-col};
-\item Any other integer acts like \texttt{rpos=1}.
+\item Any other integer acts like \verb`rpos=1`.
\end{itemize}
-An example with \texttt{rpos=3} is given shortly below, \ref{sec:Multiple-function-tables}.
+An example with \verb`rpos=3` is given shortly below, \ref{sec:Multiple-function-tables}.
\subsubsection{\texttt{rvar'}, \texttt{rhead'}, \texttt{rhnudge'}}
-These settings become relevant only when \texttt{rpos=4}; see \ref{subsec:Second-row-var-col}.
+These settings become relevant only when \verb`rpos=4`; see \ref{subsec:Second-row-var-col}.
\subsubsection{Fraction-form values: rfrac}
-\label{subsec:rfracFraction-form-rvar}By giving the setting \verb`rfrac`
-an integer value between $1$ and $5$ inclusive it is possible to
-render the row-variable values as fractions with no more than \verb`rround`
-digits in the denominator. Initially \verb`rfrac=0`, which gives
-decimal output.
+\label{subsec:rfracFraction-form-rvar}\index{row variable!fraction form|(}\index{fraction form!row variable values|(}
+By giving the setting \verb`rfrac` an integer value between $1$
+and $5$ inclusive it is possible to render the row variable values
+as fractions with no more than \verb`rround` digits in the denominator.
+Initially \verb`rfrac=0`, which gives decimal output.
\begin{itemize}
\item \verb`rfrac=1` produces a slash fraction like $2/3$;
\item \verb`rfrac=2` produces a scalable \verb`\frac`-tion like $\frac{2}{3}$
@@ -727,14 +754,15 @@ in textstyle and $\dfrac{2}{3}$ in displaystyle;
\item \verb`rfrac=3` produces a non-scalable \verb`\tfrac` like $\tfrac{2}{3}$;
\item \verb`rfrac=4` produces a non-scalable \verb`\dfrac` like $\dfrac{2}{3}$;
\item \verb`rfrac=5` produces a slash fraction like $\sfrac 23$ (by means
-of the \verb`\sfrac` command) in text- and displaystyles if the \texttt{xfrac}
-package is loaded and like $\scriptstyle 2/3$ if it isn't; when used
-as a super- or sub-script, the fractions reduce in size like $e^{\sfrac23}$
+of the \verb`\sfrac`\index{sfrac@\texttt{\textbackslash sfrac}}
+command) in text- and displaystyles if the \texttt{xfrac} package
+is loaded and like $\scriptstyle 2/3$ if it isn't; when used as a
+super- or sub-script, the fractions reduce in size like $e^{\sfrac23}$
or $e^{{\scriptscriptstyle 2/3}}$.
\end{itemize}
The following table repeats an earlier table from \ref{subsec:rdata-rfile-rverb},
but more neatly, through using \verb`\sfrac` (with the \verb`rfrac=5`
-call) instead of \verb`\tfrac`, and moving $\pi$ from the row-variable
+call) instead of \verb`\tfrac`, and moving $\pi$ from the row variable
column into the formula:
\begin{verbatim}
\def\mydataii{1/2,1/3,2/3,1/4,3/4}
@@ -745,23 +773,25 @@ column into the formula:
$\Longrightarrow$ \def\mydataii{1/2,1/3,2/3,1/4,3/4}
\tabulate[rdata=\mydataii,rpos=1,
rvar=k,rfrac=5,rhnudge=6,chnudge=18]
- { k\pi }[k=0][6*]
+ { k\pi }[k=0][6*]\index{fraction form!row variable values|)}\index{row variable!fraction form|)}
\subsection{Adjoined multi-function tables}
-\label{subsec:Adjoining-tables}How might one tabulate multiple functions
-simultaneously? \emph{HMF} has many, many examples where multiple
-functions (like the trigonometric or the hyperbolic functions) are
-tabulated in separate columns of the same table.
+\label{subsec:Adjoining-tables}\index{adjoined tables}\index{multi-function tables}
+How might one tabulate multiple functions simultaneously? \emph{HMF}
+has many, many examples where multiple functions (like the trigonometric
+or the hyperbolic functions) are tabulated in separate columns of
+the same table.
With the settings described so far, one way is to adjoin single column
tables. In the tables below, which display as a single multi-columned
-table, I have used three different \texttt{rpos} settings (\texttt{rpos=1}
-is implicit in the first). This is one way to build a table that displays
-as multi-column. If you use this method, note that the \texttt{\%}
-comment characters are essential at the end of the last argument of
-the \verb`\tabulate` commands if you want the tables to abut exactly.
-Omitting them results in a space between the tables.
+table, I have used three different\index{rpos@\texttt{rpos}} \verb`rpos`
+settings (\verb`rpos=1` is implicit in the first). This is one way
+to build a table that displays as multi-column. If you use this method,
+note that the \verb`%` comment characters are essential at the end
+of the last argument of the \verb`\tabulate` commands if you want
+the tables to abut exactly. Omitting them results in a space between
+the tables.
\begin{verbatim}
\tabulate[rspec={x,0.2,6}]
{ \sin x }[x=0][*]%
@@ -796,7 +826,7 @@ too common a need to have to resort to a fudge like adjoining tables.
\toprule
{\small key} & {\small type} & {\small meaning} & {\small comment}\tabularnewline
\midrule
-{\small\texttt{cvar}} & {\small token(s)} & {\small column-variable} & \tabularnewline
+{\small\texttt{cvar}} & {\small token(s)} & {\small column variable} & \tabularnewline
{\small\texttt{cstep}} & {\small real num.} & {\small step size} & \tabularnewline
{\small\texttt{cstop}} & {\small real num.} & {\small stop value} & {\small either }{\small\texttt{cstop}}\tabularnewline
{\small\texttt{cols}} & {\small int} & {\small number of columns} & {\small or }{\small\texttt{cols}}\tabularnewline
@@ -811,19 +841,21 @@ To tabulate such a function, one way to proceed, as we have seen,
is to create and adjoin separate tables, one per parameter value,
but that is clumsy. A more systematic procedure is to specify, in
addition to the row variable, a \emph{column} variable and its start,
-step and stop values.
-
-In the following example \verb`cvar=k` is the column variable. I
-have chosen a step size \verb`cstep=2` and a stop value \verb`cstop=9`.
-As with the row variable, the start value ({\ttfamily\verb`k=3`})
-of the column variable is specified in the vv-list. Although in the
-example these values are numbers, all three values could be \LaTeX{}
-expressions that evaluate to numbers. In particular, the expressions
-for step and stop values may include the row and column variables
-(in the example $x$ and $k$) which are assigned their initial vv-list
-values. Note also the setting for \verb`rhead` which shows the reader
-of the table that the numerical values displayed in the column headers
-are values of \verb`k`. This usage occurs throughout \emph{HMF}.
+step and stop values\index{column variable!start, step, stop values|(}.
+
+In \index{cvar@\texttt{cvar}|(} the following example \verb`cvar=k`
+is the column variable. I have chosen a step size \verb`cstep=2`\index{cstep@\texttt{cstep}|(}
+and a stop value \verb`cstop=9`\index{cstop@\texttt{cstop}|(}. As
+with the row variable, the start value ({\ttfamily\verb`k=3`})
+of the column variable is specified in the vv-list\index{vv-list!row/col. variable initial values}\index{column variable!initial value in vv-list}.
+Although in the example these values are numbers, all three values
+could be \LaTeX{} expressions that evaluate to numbers. In particular,
+the expressions for step and stop values may include the row and column
+variables (in the example $x$ and $k$) which are assigned their
+initial vv-list values. Note also the setting for \verb`rhead`\index{rhead@\texttt{rhead}}
+which shows the reader of the table that the numerical values displayed
+in the column headers are values of \verb`k`. This usage occurs throughout
+\emph{HMF}.
\begin{verbatim}
\tabulate[rspec={x,0.2,6},rhead=x\backslash k,
cvar=k,cstep=2,cstop=9]
@@ -836,20 +868,20 @@ $\Longrightarrow$ \tabulate
Again, as with the row variable, rather than using an explicit stop
value\texttt{ }{\ttfamily\verb`cstop`}, you might prefer
-to specify the number of columns, \verb`cols`, explicitly. I could
-have replaced {\ttfamily\verb`cstop=9`} with \verb`cols=4`
-to get the same result. Note that the number of columns specified
-here is the number of \emph{function-value} columns; the row-variable
-column is ignored for this count.
+to specify the number of columns, \verb`cols`\index{cols@\texttt{cols}|(},
+explicitly. I could have replaced {\ttfamily\verb`cstop=9`}
+with \verb`cols=4` to get the same result. Note that the number of
+columns specified here is the number of \emph{function-value} columns;
+the row variable column is ignored for this count.
It is worth pointing out explicitly that if \verb`cols` is specified,
then it is possible to have a \emph{zero} step size, \verb`cstep=0`.
(A similar comment applies to \verb`rows` and \verb`rstep`.)
And again, as with the row variable, it is possible to condense the
-specification into a comma list with the key \verb`cspec`. This is
-a $3$-element comma list of the form \verb`{cvar,cstep,cols}`. Thus,
-for the preceding table I could also have written
+specification into a comma list with the key \verb`cspec`\index{cspec@\texttt{cspec}|(}.
+This is a $3$-element comma list of the form \verb`{cvar,cstep,cols}`.
+Thus, for the preceding table I could also have written
\begin{verbatim}
\tabulate[rspec={x,0.2,6},rhead=x\backslash k,
cvar=k,cstep=2,cols=4]
@@ -867,15 +899,15 @@ As with the row equivalents, \verb`cstep`, \verb`cstop` and \verb`cols`
can all be \LaTeX{} expressions. Again like the row equivalents, the
first two are evaluated \emph{after }the vv-list and so may depend
not only on numbers and constants but also the initial values of the
-row and column variables, which are given those values in the vv-list.
+row and column variables, which are given those values in the vv-list.\index{vv-list!row/col. variable initial values}
\verb`cols` is evaluated \emph{before }the vv-list; it may be a \LaTeX{}
-expression but cannot depend on the row or column variable.
+expression but cannot depend on the row or column variable.\index{cvar@\texttt{cvar}|)}\index{cstep@\texttt{cstep}|)}\index{cstop@\texttt{cstop}|)}\index{cols@\texttt{cols}|)}\index{cspec@\texttt{cspec}|)}\index{column variable!start, step, stop values|)}
\subsection{Column header formatting}
-\label{subsec:Column-header-formatting}
+\label{subsec:Column-header-formatting}\index{formatting!column variable header|(}\index{column variable header|(}
\begin{table}[b]
-\centering{}\caption{Formatting the column-variable header}
+\centering{}\caption{Formatting the column variable header}
\begin{center}
\begin{tabular}{ll>{\raggedright}p{4cm}l}
\toprule
@@ -883,65 +915,67 @@ expression but cannot depend on the row or column variable.
\midrule
{\small\texttt{chstyle}} & {\small int (0\ldots 4)} & {\small header style} & {\small\texttt{0}}\tabularnewline
{\small\texttt{ctitle}} & {\small tokens} & {\small single col. alt. header} & \tabularnewline
-{\small\texttt{chead}} & {\small tokens} & {\small user-defined header} & \tabularnewline
+{\small\texttt{chead}} & {\small tokens} & {\small user-defined header } & \tabularnewline
{\small\texttt{calign}} & {\small char (r/c/l)} & {\small column alignment} & {\small\texttt{r}}\tabularnewline
{\small\texttt{chnudge}} & {\small int} & {\small nudge header }{\small{\small\verb`int`}}{\small{} mu} & {\small\texttt{0}}\tabularnewline
-{\small\texttt{chround}} & {\small int} & {\small column header rounding} & {\small\texttt{0}}\tabularnewline
+{\small\texttt{chround}} & {\small int} & {\small{} rounding} & {\small\texttt{0}}\tabularnewline
\bottomrule
\end{tabular}
\par\end{center}
\end{table}
-There are four built-in style settings for the header to the column-variable
-(or function-value) columns (the `ch' prefix evoking `column header').
-If these don't meet your needs or otherwise satisfy, then it is possible
-to define your own header to the function value columns using the
-key \verb`chead`. First I discuss the built-in styles.
-
-\subsubsection{Header style: single-column case}
-
-When there is only one column of function values, the function being
-tabulated is by default set as the header to the column. This corresponds
-to setting \texttt{ctitle={*}} (see \ref{subsec:Title:-ctitle-setting}
-below). You may want some other header. Then give \texttt{ctitle}
-some other value (although note that giving it the value \texttt{{*}{*}}
+There are four built-in style settings for the header to the column
+variable (or function-value) columns (the `ch' prefix evoking `column
+header'). If these don't meet your needs or otherwise satisfy, then
+it is possible to define your own header to the function value columns
+using the key \verb`chead`. First I discuss the built-in styles.
+
+\subsubsection{Single-column header}
+
+When\index{column variable header!single column case} there is only
+one column of function values, the function being tabulated is by
+default set as the header to the column. This corresponds to setting
+\verb`ctitle=*`\index{ctitle@\texttt{ctitle}!* setting@\texttt{{*}} setting}
+(see \ref{subsec:Title:-ctitle-setting} below). You may want some
+other header. Then give \verb`ctitle`\index{ctitle@\texttt{ctitle}}
+some other value (although note that giving it the value \texttt{{*}{*}}\index{ctitle@\texttt{ctitle}!** setting@\texttt{{*}{*}} setting}
will set both the function and the vv-list as the header; again see
\ref{subsec:Title:-ctitle-setting}). Whatever value you set, it
will be typeset between math delimiters (\verb`$` signs) and can
be nudged (see \ref{subsec:Nudgingtheheaders:-chnudge}) left or
right to fine-tune its position in the column. (If you want an asterisk
as the header, you will need to place it between \emph{two} pairs
-of braces, \texttt{ctitle=\{\{{*}\}\}}, to prevent it being misinterpreted
+of braces, \verb`ctitle={{*}}`, to prevent it being misinterpreted
as the default setting.)
If you want some more complicated header, perhaps not constrained
-by the \verb`$` delimiters, then give \texttt{chead} a value. This
-key I discuss below in \ref{subsec:chead}. \texttt{chead} is entirely
-up to the user to specify, including any math delimiters and positioning
-(nudging) of elements.
+by the \verb`$` delimiters, then give \verb`chead`\index{chead@\texttt{chead}}
+a value. This key I discuss below in \ref{subsec:chead}. \verb`chead`
+is entirely up to the user to specify, including any math delimiters
+and positioning (nudging) of elements.
-If both \texttt{ctitle} and \texttt{chead} are given, the \texttt{chead}
+If both \verb`ctitle` and \verb`chead` are given, the \verb`chead`
value prevails.
-\subsubsection{Header~style: multi-column case}
+\subsubsection{Multi-column header: \texttt{chstyle}}
-\label{subsec:Headerstyle:-multi-column-case}\texttt{chstyle=0} which
-is the default gives a header of the form displayed in the last example,
-with only the column-variable \emph{value} at the head of each column.
-This style generally requires the row-variable header to indicate
-what the values denote, as in the example above where \texttt{rhead=x\textbackslash backslash
-k}, the backslash separating row from column variable. \emph{HMF}
-contains a multitude of instances of this style; see Tables~9.7,
-17.5, 21.1, 24.3, 27.4, etc. for examples.
+\label{subsec:Headerstyle:-multi-column-case}\index{column variable header!multi-column case|(}\verb`chstyle=0`\index{chstyle@\texttt{chstyle}|(}\index{column variable header!multi-column case!chstyle@\texttt{chstyle}|(}
+which is the default gives a header of the form displayed in the last
+example, with only the column variable \emph{value} at the head of
+each column. This style generally requires the row variable header
+to indicate what the values denote, as in the example above where
+\verb`rhead=x\backslash k`, the backslash separating row from column
+variable. \emph{HMF} contains a multitude of instances of this style;
+see Tables~9.7, 17.5, 21.1, 24.3, 27.4, etc. for examples.
-\texttt{chstyle=1} changes the header of the \emph{first} function
+\verb`chstyle=1` changes the header of the \emph{first} function
value column to the form \emph{variable=value} \textendash{} in the
example below, to $k=1$. This may be an appropriate choice when a
small rounding value is being used and the resulting columns are narrow.
I can find only one real instance in \emph{HMF}, Table~26.7. In the
example I have used the \verb`rdata` setting to collect an assortment
of nonsense values and for some weird reason wish to tabulate the
-sines of multiples of these oddballs. Note that the row-variable setting
-\texttt{rhead} (producing $X\backslash k$) is no longer needed since
+sines of multiples of these oddballs. Note that the row variable setting
+\verb`rhead` (producing $X\backslash k$) is no longer needed since
the column variable is now explicitly indicated. (But the table is
lacking a title \textendash{} what on earth are we calculating with
this strange group of numbers?)
@@ -954,11 +988,11 @@ $\Longrightarrow$ \tabulate[rdata={-e^2,1.234e2,3.1416,\pi/\gamma,1/9},
^,rvar=X,rverb=1,cspec={k,1,3},chstyle=1]
{ \sin kX }[k=1][3*]\medskip{}
-\texttt{chstyle=2} changes the header of all function-value columns
+\verb`chstyle=2` changes the header of all function-value columns
to the form \emph{variable=value}.\emph{ }In \emph{HMF} examples are
-Tables~7.4, 7.9, 10.10, 16.6, etc. Again, the row-variable setting
-\texttt{rhead} no longer needs the \texttt{\textbackslash backslash
-k} part since the column variable is now explicitly indicated.
+Tables~7.4, 7.9, 10.10, 16.6, etc. Again, the row variable setting
+\verb`rhead` no longer needs the \verb`\backslash k` part since
+the column variable is now explicitly indicated.
\begin{verbatim}
\tabulate[rspec={x,0.2,6},
cspec={k,2,3},chstyle=2]
@@ -968,10 +1002,10 @@ $\Longrightarrow$ \tabulate[rspec={x,0.2,6},
cspec={k,2,3},chstyle=2]
{ \sin kx }[k=3,x=0][3*]\medskip{}
-\texttt{chstyle=3} fills each column-variable header with the expression
+\verb`chstyle=3` fills each column variable header with the expression
being tabulated but with the column variable replaced by its respective
values. See \emph{HMF} Tables~5.4, 8.1, 9.1, 19.1, etc. for examples.
-Note that if the column-variable value is \verb`1`, the \verb`1`
+Note that if the column variable value is \verb`1`, the \verb`1`
will be displayed:
\begin{verbatim}
\tabulate[rspec={x,0.2,6},
@@ -984,8 +1018,8 @@ $\Longrightarrow$ \tabulate
{ \sin kx }[k=1,x=0][4*]\medskip{}
In this last example you may not want the \verb`1` displayed. To
-achieve that effect put \texttt{chstyle=4}. This results in a header
-as for \texttt{chstyle=3} but if the column variable takes the value
+achieve that effect put \verb`chstyle=4`. This results in a header
+as for \verb`chstyle=3` but if the column variable takes the value
\verb`1`, it has an empty replacement:
\begin{verbatim}
\tabulate[rspec={x,0.2,6},
@@ -995,20 +1029,21 @@ as for \texttt{chstyle=3} but if the column variable takes the value
$\Longrightarrow$ \tabulate
[rspec={x,0.2,6},
cspec={k,2,3},chstyle=4]
- { \sin kx }[k=1,x=0][4*]
+ { \sin kx }[k=1,x=0][4*]\index{column variable header!multi-column case!chstyle@\texttt{chstyle}|)}\index{chstyle@\texttt{chstyle}|)}
\subsubsection{User-defined header: \texttt{chead}}
-\label{subsec:chead}If the function in the last example were, for
-instance, $k+\sin kx$, then neither replacing $k$ by \verb`1` nor
-an empty replacement would be appropriate. In that case the only recourse
-is to use the \verb`chead` key. Users can assign whatever value they
-like to \verb`chead`. The assignment must contain the correct number
-of tab characters (\verb`&`) for the \emph{column-variable columns
-only}. It is a header only to the function-value columns. The user
-will need to insert \verb`$` signs or other math delimiters as appropriate.
-This differs from the practice for \verb`rhead`, but \verb`chead`
-is potentially far more complicated. Thus for $k+\sin kx$,
+\label{subsec:chead}\index{chead@\texttt{chead}|(}If the function
+in the last example were, for instance, $k+\sin kx$, then neither
+replacing $k$ by \verb`1` nor an empty replacement would be appropriate.
+In that case the only recourse is to use the \verb`chead` key. Users
+can assign whatever value they like to \verb`chead`. The assignment
+must contain the correct number of tab characters (\verb`&`) for
+the \emph{column variable columns only}. It is a header only to the
+function-value columns. The user will need to insert \verb`$` signs
+or other math delimiters as appropriate. This differs from the practice
+for \verb`rhead`, but \verb`chead` is potentially far more complicated.
+Thus for $k+\sin kx$,
\begin{verbatim}
\tabulate[rspec={x,0.2,6},cspec={k,2,3},
chead=$1+\sin x$&$3+\sin3x$&$5+\sin 5x$]
@@ -1022,15 +1057,15 @@ $\Longrightarrow$ \tabulate
\noindent Non-empty content for the \verb`chead` key overrides any
\verb`chstyle` setting and, in the case of a table with only a single
-function-value column, overrides any \verb`ctitle` setting.
+function-value column, overrides any \verb`ctitle` setting.\index{chead@\texttt{chead}|)}
\subsubsection{Alignment: \texttt{calign}}
-The function-value columns are aligned right, \verb`calign=r`, by
-default. Also available are \verb`calign=c` for centred alignment
-and \verb`calign=l` (lowercase L) for left alignment. Using centred
-alignment with {\ttfamily\verb`chstyle=2`} in a previous
-example table gives
+The\index{calign@\texttt{calign}|(} function-value columns are aligned
+right, \verb`calign=r`, by default. Also available are \verb`calign=c`
+for centred alignment and \verb`calign=l` (lowercase L) for left
+alignment. Using centred alignment with {\ttfamily\verb`chstyle=2`}
+in a previous example table gives
\begin{verbatim}
\tabulate[rspec={x,0.2,6},ralign=c,
cspec={k,2,3},chstyle=2,calign=c]
@@ -1043,19 +1078,20 @@ $\Longrightarrow$ \tabulate
\noindent The first column of function values looks better, but the
minus signs spoil the effect in the others. Handling signs in tables
-is discussed below; see \ref{subsec:Signs}.
-
-\subsubsection{Nudging~the~headers: \texttt{chnudge}}
-
-\label{subsec:Nudgingtheheaders:-chnudge}In left or right alignment
-it is possible to nudge the headers in the opposite direction by giving
-a numerical value to the the key \verb`chnudge`. The header is moved
-by the specified number of mu (math units; 18 to a quad). Note that
-the `mu' does not need to be written. {\ttfamily\verb`numerica-tables`}
-provides that. In the next example I have chosen \verb`chnudge=12`
-to nudge the column headers to the left to give a centred effect to
-the header but leaving the function values with their (potentially)
-awkward minus signs right aligned.
+is discussed below; see \ref{subsec:Signs}\index{calign@\texttt{calign}|)}.
+
+\subsubsection{Nudging header entries: \texttt{chnudge}}
+
+\label{subsec:Nudgingtheheaders:-chnudge}In\index{chnudge@\texttt{chnudge}|(}
+left or right alignment it is possible to nudge the column headers
+in the opposite direction by giving a numerical value to the the key
+\verb`chnudge`. The header is moved by the specified number of mu
+(math units; 18 to a quad). Note that the `mu' does not need to
+be written. {\ttfamily\verb`numerica-tables`} provides
+that. In the next example I have chosen \verb`chnudge=12` to nudge
+the column headers to the left to give a centred effect to the header
+but leaving the function values with their (potentially) awkward minus
+signs right aligned.
\begin{verbatim}
\tabulate[rspec={x,0.2,6},ralign=c,
cspec={k,2,3},chstyle=2,chnudge=12]
@@ -1080,11 +1116,12 @@ I have used \verb`chnudge=-9`.
$\Longrightarrow$ \tabulate
[rspec={x,0.2,6},ralign=c,
cspec={k,2,3},chstyle=2,chnudge=-9]
- { \sin kx }[k=100,x=0][3*]
+ { \sin kx }[k=100,x=0][3*]\index{chnudge@\texttt{chnudge}|)}
\subsubsection{Rounding: \texttt{chround}}
-In the examples so far, the column variable has incremented in integer
+In\index{chround@\texttt{chround}|(}\index{rounding value!header row|(}
+the examples so far, the column variable has incremented in integer
steps. The default rounding value for the column variable is $0$
(for the row variable it is $1$), so if it increments by some non-integer
amount, the result will be confusing \textendash{} if $k$ incremented
@@ -1101,33 +1138,35 @@ the appropriate setting is {\ttfamily\verb`chround=2`}.
$\Longrightarrow$ \tabulate
[rspec={x,0.2,6},rhead=x,ralign=c,
cspec={k,0.25,3},chstyle=2,chround=2]
- { \sin kx }[k=3,x=0][*]
+ { \sin kx }[k=3,x=0][*]\index{column variable header|)}\index{rounding value!header row|)}\index{column variable header!multi-column case|)}\index{chround@\texttt{chround}|)}\index{formatting!column variable header}
\section{Multiple functions in a single table}
-\label{sec:Multiple-function-tables}As already noted in \ref{subsec:Adjoining-tables},
-tabulating more than one function at a time is too common a need to
-have to resort to a fudge like adjoining tables. The systematic way
-of handling this task is to enter the functions in the main argument
-of a \verb`\tabulate` command separated by a specified mark then
-alert \verb`\tabulate` that this has happened with the \verb`ff`
+\label{sec:Multiple-function-tables}As\index{multi-function tables|(}
+already noted in \ref{subsec:Adjoining-tables}, tabulating more
+than one function at a time is too common a need to have to resort
+to a fudge like adjoining tables. The systematic way of handling this
+task is to enter the functions in the main argument of a \verb`\tabulate`
+command separated by a specified mark then alert \verb`\tabulate`
+that this has happened with the \verb`ff`\index{ff@\texttt{ff}}
key in the settings option.
-By default the multi-formula delimiter is the comma if the decimal
-point is a dot (or period), or the semicolon if the decimal point
-is a comma (\texttt{numerica} loaded with the \verb`comma` package
-option). If you are content with the default delimiter then it suffices
-to enter \verb`ff` in the settings option. If not, then enter \verb`ff=<mark>`
-there. For example \verb`ff=|` would make the `pipe' character
-\verb`|` the multi-formula delimiter. If the \verb`ff` key is overlooked
-then multiple formulas in the main argument of \verb`\tabulate` will
-almost certainly cause a \LaTeX{} error.
+By default the multi-function delimiter\index{multi-function tables!function delimiter}
+is the comma if the decimal point is a dot (or period), or the semicolon\index{semicolon and decimal comma}
+if the decimal point is a comma\index{decimal comma} (\texttt{numerica}
+loaded with the \verb`comma` package option). If you are content
+with the default delimiter then it suffices to enter \verb`ff` in
+the settings option. If not, then enter \verb`ff=<mark>` there. For
+example \verb`ff=|` would make the `pipe' character \verb`|` the
+multi-formula delimiter. If the \verb`ff` key is overlooked then
+multiple formulas in the main argument of \verb`\tabulate` will almost
+certainly cause a \LaTeX{} error.
In the following example, using the default comma, note first the
\verb`ff` setting, and then the \verb`o` setting indicating that
the arguments of the trig functions are in degrees and (just to amuse
myself) I have put the row variable column on both sides with the
-\verb`rpos=3` setting:
+\verb`rpos=3`\index{rpos@\texttt{rpos}} setting:
\begin{verbatim}
\tabulate[ff,o,rpos=3,rround=0,
rvar=\theta,rstep=10,rstop=90]
@@ -1138,20 +1177,23 @@ $\Longrightarrow$ \tabulate[ff,o,rpos=3,rround=0,
{ \sin \theta, \cos \theta }[\theta=0][*]\medskip{}
The tables suggest a space saving possibility: since $\sin$ and $\cos$
-are complementary functions ($\cos\theta=\sin(90-\theta)$), the values
-in the bottom half of the table duplicate values in the top half,
-only with the columns reversed. This is the reason for the space saving
-\verb`rpos=4` setting (\ref{subsec:Second-row-var-col}) which enables
-complementary functions to be tabulated in `half tables' (for examples
-see \emph{HMF} Tables 4.10\textendash 4.12 for the trigonometric functions).
-
-In the next example, the row-variable column is again duplicated,
+are complementary functions\index{complementary functions} ($\cos\theta=\sin(90-\theta)$),
+the values in the bottom half of the table duplicate values in the
+top half, only with the columns reversed. This is the reason for the
+space saving \verb`rpos=4`\index{rpos@\texttt{rpos}} setting (\ref{subsec:Second-row-var-col})
+which enables complementary functions to be tabulated in `half tables'
+(\emph{HMF} Tables 4.10\textendash 4.12 are examples for the trigonometric
+functions).
+
+In the next example, the row variable column is again duplicated,
left and right, with the \verb`rpos=3` setting, and a centred alignment
is used for the function values. Because $\sin$ and $\cos$ are complementary,
I have stopped the table at \verb`rstop=45` since continuing to \verb`90`
-would simply give a mirror reflection of the preceding values. Visually,
-the table has an unsatisfactory, sprawling appearance \textendash{}
-which directs attention to how tables might be titled (\ref{subsec:Title:-ctitle-setting}):
+would simply give a mirror reflection of the preceding values. To
+accommodate the use of the comma in \verb`\max` and \verb`\min`\index{n-ary@$n$-ary functions}
+I have stipulated \verb`ff=|`\index{ff@\texttt{ff}}. Visually, the
+table has an unsatisfactory, sprawling appearance \textendash{} which
+directs attention to how tables might be titled (\ref{subsec:Title:-ctitle-setting})\index{rpos@\texttt{rpos}}:
\begin{verbatim}
\tabulate[ff=|,o,rpos=3,rround=0,
rvar=\theta,rstep=10,rstop=45,calign=c]
@@ -1163,16 +1205,16 @@ $\Longrightarrow$ \tabulate[ff=|,o,rpos=3,rround=0,
rvar=\theta,rstep=10,rstop=45,calign=c]
{ \max(\sin \theta,\cos \theta)|
\min(\sin \theta,\cos \theta) }
- [\theta=0][*]
+ [\theta=0][*] \index{multi-function tables|)}
\section{Whole-of-table formatting}
-\label{sec:Whole-of-table-formatting}There are a number of settings
-pertaining to the appearance of the table as a whole, things like
-the position of the row-variable column, division of the function
-values into blocks to aid readability, the presence of horizontal
-rules or of a collective column title or of a footer row. I discuss
-these here.
+\label{sec:Whole-of-table-formatting}There\index{formatting!title, subtitle, footer|(}
+are a number of settings pertaining to the appearance of the table
+as a whole, things like the position of the row variable column, division
+of the function values into blocks to aid readability, the presence
+of horizontal rules or of a collective column title or of a footer
+row. I discuss these here.
\begin{table}
\centering{}\caption{\protect\label{tab:Table-formatting-settings}Table formatting}
@@ -1182,11 +1224,11 @@ these here.
{\small key} & {\small type} & {\small meaning} & {\small initial}\tabularnewline
\midrule
{\small\texttt{ctitle}} & {\small token(s)} & {\small collective title for function-value columns} & \tabularnewline
-{\small\texttt{csubttl}} & {\small token(s)} & {\small subtitle row for} {\small function- value cols} & \tabularnewline
+ & {\small token(s)} & {\small subtitle row for} {\small function- value cols} & \tabularnewline
{\small\texttt{header}} & {\small int (}{\small\texttt{0/1}}{\small )} & {\small suppress/show header row} & {\small\texttt{1}}\tabularnewline
{\small\texttt{foot}} & {\small token(s)} & {\small table-wide footer row} & \tabularnewline
{\small\texttt{rules}} & {\small char(s)} & {\small horizontal rule spec.} & {\small\texttt{ThB}}\tabularnewline
-{\small\texttt{rpos}} & {\small int (}{\small\texttt{0}}{\small\ldots}{\small\texttt{4}}{\small )} & {\small row-variable col. position(s)} & {\small\texttt{1}}\tabularnewline
+{\small\texttt{rpos}} & {\small int (}{\small\texttt{0}}{\small\ldots}{\small\texttt{4}}{\small )} & {\small row variable col. position(s)} & {\small\texttt{1}}\tabularnewline
{\small\texttt{rbloc}} & {\small integer comma list} & {\small row block specification} & \tabularnewline
{\small\texttt{valign}} & {\small char (}{\small\texttt{t}}/{\small\texttt{m}}/{\small\texttt{b}}{\small )} & {\small vertical alignment of table relative to text baseline} & {\small\texttt{m}}\tabularnewline
\bottomrule
@@ -1197,18 +1239,18 @@ these here.
\subsection{Title for function-value columns: \texttt{ctitle}}
-\label{subsec:Title:-ctitle-setting}The function-value columns have
-individual headers, formatted in the various ways provided by the
-settings discussed in previous sections, but it can also be helpful
-to have a collective title for these columns. We saw the need in the
-last example. The need is met with the \verb`ctitle` key. This can
-be set to whatever you like (e.g. \verb`ctitle=\text{Fred}`) but,
-to more purpose, I shall use the setting to improve the look of the
-table in the last example. Note that the content of the \verb`ctitle`
+\label{subsec:Title:-ctitle-setting}\index{ctitle@\texttt{ctitle}|(}The\index{title row|(}
+function-value columns have individual headers, formatted in the various
+ways provided by the settings discussed in previous sections, but
+it can also be helpful to have a collective title for these columns.
+We saw the need in the last example. The need is met with the \verb`ctitle`
+key. This can be set to whatever you like (e.g. \verb`ctitle=\text{Fred}`)
+but, to more purpose, I shall use the setting to improve the look
+of the table in the last example. Note that the content of the \verb`ctitle`
key is enclosed in braces. This is to shield the commas there from
being misinterpreted as item separators in the settings option. For
-an analogous reason I have specified the semicolon (\verb`ff=;`)
-as the function separator in the main argument:
+an analogous reason I have specified the semicolon (\verb`ff=;`)\index{ff@\texttt{ff}}
+as the function separator in the main argument:\index{rpos@\texttt{rpos}}\index{n-ary@$n$-ary functions}
\begin{verbatim}
\tabulate[ff=;,o,rpos=3,rround=0,
rvar=\theta,rstep=10,rstop=45,
@@ -1241,16 +1283,15 @@ of the table; \verb`ctitle=*` is all that is needed:
cspec={m,1,4},chstyle=2,ctitle=*]
{ \cos(m\pi/n) }[n=3,m=2][*4]
\end{verbatim}
-$\Longrightarrow$ \selectlanguage{english}%
- \tabulate[rspec={n,1,5},rround=0,
+$\Longrightarrow$ \tabulate[rspec={n,1,5},rround=0,
cspec={m,1,4},chstyle=2,ctitle=*]
{ \cos(m\pi/n) }[n=3,m=2][*4]
-\selectlanguage{english}%
\subsection{Between header \& title: \texttt{csubttl}}
-Some tables need to fit more header or title material into their rows
-than can be comfortably accommodated in either row alone. For examples,
+Some\index{csubttl@\texttt{csubttl}}\index{title row!subtitle row}
+tables need to fit more header or title material into their rows than
+can be comfortably accommodated in either row alone. For examples,
see \emph{HMF} Tables 7.9 (error function for complex arguments),
17.7 (Jacobian zeta function), 21.1 (eigenvalues of spheroidal wave
functions), and 26.7 (probability integrals). One way of handling
@@ -1260,13 +1301,14 @@ the header and title rows.
I have chosen \verb`csubttl`, a contraction of `column variable
subtitle' for the key name. (In version 2 of \texttt{numerica-tables}
-the name \verb`cmidrow` was used; that will still work but \verb`csubttl`
-gives a clearer indication of what the key does.) The initial `c'
-emphasizes that like \verb`chead` and \verb`ctitle` it is constrained
-to the span of the column-variable (or function-value) columns only.
-The content of \verb`csubttl` is entirely the responsibility of the
-user, including insertion of the necessary number of tab characters,
-\verb`&`, and any math delimiters required.
+the name \verb`cmidrow`\index{cmidrow@\texttt{cmidrow }|see{\texttt{csubttl}}}
+was used; that will still work but \verb`csubttl` gives a clearer
+indication of what the key does.) The initial `c' emphasizes that
+like \verb`chead` and \verb`ctitle` it is constrained to the span
+of the column variable (or function-value) columns only. The content
+of \verb`csubttl` is entirely the responsibility of the user, including
+insertion of the necessary number of tab characters, \verb`&`, and
+any math delimiters required.
\begin{verbatim}
\tabulate[ff,rspec={x,1,7},rround=0,chnudge=18,
ctitle=\text{Hyperbolic functions},
@@ -1280,36 +1322,40 @@ $\Longrightarrow$ \tabulate[ff,rspec={x,1,7},rround=0,chnudge=18,
csubttl=\multicolumn{3}{c}{$\sinh x=\tfrac12
(e^x-e^{-x}),\ \cosh x=\tfrac12(e^x+e^{-x})$}]
{ \tfrac12e^x, \sinh x, \cosh x }
- [{x}=0][8*]
+ [{x}=0][8*]\index{ctitle@\texttt{ctitle}|)}\index{title row|)}
\subsection{Suppress/show header row}
-\label{subsec:Header-row-suppress}Usually the header row in a table
-is shown. It carries essential information as to the table's contents.
-However, there are occasions when it should be suppressed. An example
-where this is appropriate is given in \ref{subsec:rdata-rfile-rverb}
+\label{subsec:Header-row-suppress}Usually\index{headless@\texttt{headless}}
+the header row in a table is shown. It carries essential information
+as to the table's contents. However, there are occasions when it should
+be suppressed. An example where this is appropriate is given in \ref{subsec:rdata-rfile-rverb}
where a table listing fractions of $\pi$ and their values is shown.
-As in that example, to suppress the header enter the setting \verb`header=0`.
-(Otherwise tables default to \verb`header=1`.)
+As in that example, to suppress the header enter the setting \verb`headless=1`.
+(Otherwise tables default to \verb`headless=0`.)
\subsection{Footer row: \texttt{foot} }
-Some tables have a footer row and \verb`numerica-tables` allows such
-a row to be inserted, but its entire content, with one exception,
-is the responsibility of the user, including insertion of the necessary
-number of tab characters \verb`&`. This will usually be $1$ less
-than the total number of columns (including row-variable columns)
-in the table \textendash{} or some adjustment thereof if you use \verb`\multicolumn`.
-You can put into the footer what you wish: \verb`foot=<tokens>`.
-(\emph{HMF} uses the footer mainly for cryptic descriptions of the
-accuracy and needs of interpolation methods.)
-
-The one exception is when \verb`foot=*`. This will fill the footer
-with the header, but \emph{reversed}. This is useful for tabulating
-complementary functions like the sine and cosine or, more generally,
-$f(x)$ and $g(x)$ where $g(x)=f(k-x)$ for some constant $k$. Values
-for the complementary function are read from the bottom up and require
-a reversed row-variable column on the right of the table; see \ref{subsec:Second-row-var-col}.
+Some\index{foot@\texttt{foot}}\index{footer row} tables have a footer
+row and \verb`numerica-tables` allows such a row to be inserted,
+but its entire content, with one exception, is the responsibility
+of the user, including insertion of the necessary number of tab characters
+\verb`&`. This will usually be $1$ less than the total number of
+columns (including row variable columns) in the table \textendash{}
+or some adjustment thereof if you use \verb`\multicolumn`. (\emph{HMF}
+uses the footer mainly for cryptic descriptions of the accuracy and
+needs of interpolation methods.)
+
+You can put into the footer what you wish with the setting \verb`foot=<tokens>`.
+
+The one exception is when \verb`foot=*`\index{foot@\texttt{foot}}.
+This will fill the footer with the header, but with the items of the
+header presented in \emph{reversed} order \textendash{} the last item
+first, and so on. This is useful for tabulating complementary functions
+like the sine and cosine or, more generally, $f(x)$ and $g(x)$ where
+$g(x)=f(k-x)$ for some constant $k$. Values for the complementary
+function are read from the bottom up and require a reversed row variable
+column on the right of the table; see \ref{subsec:Second-row-var-col}.
\noindent{}%
\noindent\begin{minipage}[t]{1\columnwidth}%
@@ -1317,23 +1363,24 @@ a reversed row-variable column on the right of the table; see \ref{subsec:Secon
\subsubsection{Footer functions}
-In previous versions of \texttt{numerica-tables} it was possible to
-perform certain simple operations on columns \textendash{} calculate
-the sum, the average and maximum and minimum values. This is no longer
-so in version 3. Not only does it seem tangential to the primary function
-of the \verb`\tabulate` command but it was also acutely dependent
-on the format of the numbers being operated on. A simple change in
-the number-format option could cause a \LaTeX{} error.\end{shaded}%
-\end{minipage}
+In\index{footer functions} previous versions of \texttt{numerica-tables}
+it was possible to perform certain simple operations on columns \textendash{}
+calculate the sum, the average and maximum and minimum values. This
+is no longer so in version 3. Not only does it seem tangential to
+the primary function of the \verb`\tabulate` command but it was also
+acutely dependent on the format of the numbers being operated on.
+A simple change in the number-format option could cause a \LaTeX{}
+error.\end{shaded}%
+\end{minipage}\index{formatting!title, subtitle, footer|)}
\subsection{Horizontal rules: \texttt{rules}}
-\label{subsec:Rules:-rules-setting}
+\label{subsec:Rules:-rules-setting}\index{rules@\texttt{rules}|(}\index{rules|(}\index{formatting!rules|(}
\begin{table}[!b]
\centering{}\caption{\protect\label{tab:Rules}Rules. {\small (In the \textquoteleft span\textquoteright{}
-column, \textquoteleft f-v\textquoteright =function-value; \textquoteleft r-v\textquoteright =row-variable;
-\textquoteleft$<$~table\textquoteright{} indicates that the rule
-spans the table but is trimmed at each end.)}}
+column, \textquoteleft f-v\textquoteright =function-value; \textquoteleft r-v\textquoteright =row
+variable; \textquoteleft$<$~table\textquoteright{} indicates that
+the rule spans the table but is trimmed at each end.)}}
\begin{center}
\begin{tabular}{lll>{\raggedright}p{3cm}l}
\toprule
@@ -1351,9 +1398,10 @@ spans the table but is trimmed at each end.)}}
\end{tabular}
\par\end{center}
\end{table}
-The \texttt{booktabs} package which \texttt{numerica} uses is most
-emphatic that one should `1. Never, ever use vertical rules. 2. Never
-use double rules.' Most of the tables proper in \emph{HMF} lack rules
+The \texttt{booktabs} \index{booktabs@\texttt{booktabs}} package
+which \texttt{numerica} uses is most emphatic that one should `1.
+Never, ever use vertical rules.\index{rules!edicts} 2. Never use
+double rules.' Most of the tables proper in \emph{HMF} lack rules
of any kind although closer inspection shows smaller tables within
the text generally \emph{are} delimited by horizontal rules (often
also with vertical rules). In the various examples in the present
@@ -1366,9 +1414,9 @@ for presenting a multitude of different kinds of numerical data.)
The \verb`rules` key allows one to specify precisely which rules
are used. The content of the key is a `word' \textendash{} a sequence
of letters \textendash{} where the characters have the significance
-and default thicknesses (from \texttt{booktabs}) shown in Table~\ref{tab:Rules}.
-The default setting is \verb`rules=ThB`. To insert a rule beneath
-the title, for example, change this to \verb`rules=TthB`.
+and default thicknesses (from \texttt{booktabs}\index{booktabs@\texttt{booktabs}})
+shown in Table~\ref{tab:Rules}. The default setting is \verb`rules=ThB`.
+To insert a rule beneath the title, for example, change this to \verb`rules=TthB`.
If you are using a subtitle row between header and title rows and
want a rule beneath that too, then the spec. is \verb`rules=TtshB`.
@@ -1376,33 +1424,35 @@ want a rule beneath that too, then the spec. is \verb`rules=TtshB`.
can also be used instead of \verb`s`, as in version 2 of \texttt{numerica-tables}.)
To my eye rules beneath both title and subtitle don't work; a rule
beneath the subtitle alone gives a better result. The subtitle rule
-changes its behaviour depending on whether there are two row-variable
+changes its behaviour depending on whether there are two row variable
columns \textendash{} on the left and right of the table \textendash{}
or not. If there is only such column then, like the title rule, the
subtitle rule spans only the function-value columns. If there are
-two row-variable columns then the subtitle rule spans the table but
-is trimmed by 0.5 em at each end. That degree of trim is the \verb`booktabs`
-default but can be changed by giving a different value to \verb`\cmidrulekern`
+two row variable columns then the subtitle rule spans the table but
+is trimmed by 0.5 em at each end. That degree of trim is the \texttt{booktabs}\index{booktabs@\texttt{booktabs}}
+default but can be changed by giving a different value to \verb`\cmidrulekern`\index{cmidrulekern@\texttt{\textbackslash cmidrulekern}}
in the preamble, e.g. \verb`\cmidrulekern=1em`. Note that the changed
trim will also apply to the title rule.
-If you are using a footer row and want a rule above it, then add \verb`f`
-to the specification, e.g. \verb`rules=TthfB`. In version 3 of \texttt{numerica-tables}
-the rule is trimmed at each end. Visually, having two table-spanning
-rules close together, the \verb`f` and \verb`B` rules, doesn't work.
-The trimming makes a difference. (For the \verb`T` and \verb`h`
-rules, the occurrence of the table body beneath the \verb`h` rule
-seems to make a difference to the visual impact of the rules.) But
-the question should always be: is a rule necessary at all? Usually,
-less is more.
+If you are using a footer row\index{footer row} and want a rule above
+it, then add \verb`f` to the specification, e.g. \verb`rules=TthfB`.
+In version 3 of \texttt{numerica-tables} the rule is trimmed at each
+end. Visually, having two table-spanning rules close together, the
+\verb`f` and \verb`B` rules, doesn't work. The trimming makes a
+difference. (For the \verb`T` and \verb`h` rules, the occurrence
+of the table body beneath the \verb`h` rule seems to make a difference
+to the visual impact of the rules.) But the question should always
+be: is a rule necessary at all? Usually, less is more.
If you wish to change the thickness of a rule from its default, then
-enter new values for any or all of \verb`\heavyrulewidth`, \verb`\lightrulewidth`,
-\verb`\cmidrulewidth` in the preamble. The values listed in Table~\ref{tab:Rules}
-are the default values in the \texttt{booktabs} package (except for
-the midrow and footer rules, which \texttt{booktabs} does not cover;
-in \texttt{numerica-tables} these rules are assigned a thickness of
-\verb`\cmidrulewidth`).
+enter new values for any or all of \verb`\heavyrulewidth`\index{heavyrulewidth@\texttt{\textbackslash heavyrulewidth}},
+\verb`\lightrulewidth`\index{lightrulewidth@\texttt{\textbackslash lightrulewidth}},
+\verb`\cmidrulewidth`\index{cmidrulewidth@\texttt{\textbackslash cmidrulewidth}}
+in the preamble. The values listed in Table~\ref{tab:Rules} are
+the default values in the \texttt{booktabs}\index{booktabs@\texttt{booktabs}}
+package (except for the midrow and footer rules, which \texttt{booktabs}\index{booktabs@\texttt{booktabs}}
+does not cover; in \texttt{numerica-tables} these rules are assigned
+a thickness of \verb`\cmidrulewidth`).
The order in which rules are placed in the specification doesn't matter.
I have entered them in their `natural' order simply because it feels
@@ -1411,10 +1461,11 @@ position, that matters.
In the example table below, a rule for the column title has been specified
(the \verb`t` in the setting \verb`rules=TthB`). Also note the use
-of \verb`ctitle=**`. The formula contains an extra parameter $a$,
-assigned a value in the vv-list. It now makes sense to display the
-vv-list in the column title (but note the braces around \verb`k`
-and \verb`x` in the vv-list so that \emph{they} don't display).
+of \verb`ctitle=**`\index{ctitle@\texttt{ctitle}!** setting@\texttt{{*}{*}} setting}.
+The formula contains an extra parameter $a$, assigned a value in
+the vv-list. It now makes sense to display the vv-list in the column
+title (but note the braces around \verb`k` and \verb`x` in the vv-list
+so that \emph{they} don't display).
\begin{verbatim}
\tabulate
[rspec={x,0.25,5},rround=2,rhnudge=9,
@@ -1426,41 +1477,46 @@ $\Longrightarrow$ \tabulate
[rspec={x,0.25,5},rround=2,rhnudge=9,
cspec={k,0.25,3},chstyle=2,chround=2,
ctitle=**,rules=TthB]
- { a\sin kx }[a=2/\pi,{k}=3,{x}=0][*]
+ { a\sin kx }[a=2/\pi,{k}=3,{x}=0][*]\index{rules|)}\index{rules@\texttt{rules}|)}\index{formatting!rules}
-\subsection{Second row-variable column: \texttt{rpos=4}}
+\subsection{Second row variable column: \texttt{rpos=4}}
-\label{subsec:Second-row-var-col}In \ref{subsec:Row-var-col-pos}
-I discussed the settings \verb`rpos=0,1,2` and in \ref{sec:Multiple-function-tables}
+\label{subsec:Second-row-var-col}In\index{row variable column!position in table}
+\index{rpos@\texttt{rpos}|(}\ref{subsec:Row-var-col-pos} I discussed
+the settings \verb`rpos=0,1,2` and in \ref{sec:Multiple-function-tables}
gave an example of using {\ttfamily\verb`rpos=3`} where
-repeating the row-variable column on the right is helpful. There is
+repeating the row variable column on the right is helpful. There is
another value available for this key, \verb`rpos=4`. Like {\ttfamily\verb`rpos=3`}
-this adds the row-variable column to both left and right sides of
+this adds the row variable column to both left and right sides of
the table, but for the right column the values are a function of those
in the left column ({\ttfamily\verb`rpos=3`} corresponds
-to the function being the identity). The value given to the key \verb`rvar'`
-determines the function used and the value given to the key \verb`rhead'`
-determines the header for the right-hand row-variable column. If \verb`rhead'`
+to the function being the identity). The value given to the key \verb`rvar'`\index{rvar@\texttt{rvar'}|(}
+determines the function used and the value given to the key \verb`rhead'`\index{rhead@\texttt{rhead'}|(}
+determines the header for the right-hand row variable column. If \verb`rhead'`
is omitted it defaults to a blank header, unless the \verb`rvar'`
setting is also omitted, when \verb`rpos=4` behaves like \verb`rpos=3`.
-For example, the sine and cosine are complementary functions; when
-working in degrees, $\cos\theta=\sin(90-\theta)$. We can exploit
+For example, the sine and cosine are complementary functions\index{complementary functions|(};
+when working in degrees, $\cos\theta=\sin(90-\theta)$. We can exploit
this fact to halve the table size needed to tabulate the two functions.
-The example also gives an illustration of the use of an expression
-in the third element of \verb`rspec`.
+In the table, $\theta'=90-\theta$ and \verb`rhead'=\theta'`. Simply
+to illustrate the use of \verb`rhnudge'`\index{rhnudge@\texttt{rhnudge'}|(}
+I have nudged the header in the second (right) row variable column
+to sit above the tens digits of the row variable values. The example
+also gives an illustration of the use of an expression in the third
+element of \verb`rspec`.\index{foot@\texttt{foot}}
\begin{verbatim}
\tabulate[ff=;,o,rpos=4,
rspec={\theta,5,1+45/5},rround=0,
- chnudge=14,rvar'=90-\theta,
- rules=ThfB,foot=*]
+ chnudge=14,rvar'=90-\theta,rhnudge'=4,
+ rhead'=\theta',rules=ThfB,foot=*]
{ \sin\theta;\cos\theta }[\theta=0][*]
\end{verbatim}
$\Longrightarrow$ \tabulate[ff=;,o,rpos=4,
rspec={\theta,5,1+45/5},rround=0,
- chnudge=14,rvar'=90-\theta,
- rules=ThfB,foot=*]
- { \sin\theta;\cos\theta }[\theta=0][*]\medskip{}
+ chnudge=14,rvar'=90-\theta,rhnudge'=4,
+ rhead'=\theta',rules=ThfB,foot=*]
+ { \sin\theta;\cos\theta }[\theta=0][*]\index{footer row!complementary functions}\index{rhnudge@\texttt{rhnudge'}|)}\index{rhead@\texttt{rhead'}|)}\index{ff@\texttt{ff}}\medskip{}
\noindent The values of sines from $0$ to $45$ degrees are read
downwards from the first column of function values, and from 45 to
@@ -1469,10 +1525,8 @@ For cosines it is downwards from the second column and upwards from
the first column. The reversed footer line indicates the change of
columns to use. In the example note
\begin{itemize}
-\item the setting of \verb`rvar'` to a function (\verb`90-\theta`) of
-the row variable (\verb`\theta`);
-\item the blank header for the \verb`rvar'` column (since no value was
-set for \verb`rhead'`);
+\item the setting of \verb`rvar'`\index{rvar@\texttt{rvar'}|)} to a function
+\verb`90-\theta` of the row variable;
\item the footer setting \verb`foot=*` to obtain the reversed header in
the footer;
\item the rule \emph{above} the footer row specified by the \verb`f` added
@@ -1485,31 +1539,33 @@ Although there is a significant space saving with tables like this
reader'. They require a certain concentration to read and in my view
should be avoided unless space is seriously constrained. \emph{HMF}
Tables 6.1 and 6.2 are tables of the gamma function and its relatives
-where $y=x-1$ is used in the row-variable column on the right (stemming
+where $y=x-1$ is used in the row variable column on the right (stemming
from $y!=\Gamma(x-1)$); \emph{HMF }Table 6.5 in effect uses $\langle1/x\rangle$
-(the nearest integer to $1/x$) for the row variable on the right.
+(the nearest integer to $1/x$) for the row variable on the right.\index{complementary functions|)}
\subsection{Separating blocks of rows: \texttt{rbloc}}
-Readability of long columns of figures can be aided by breaking the
-columns into blocks with extra white space between blocks of rows.
-This is achieved with the \texttt{rbloc} key:
-\begin{lyxcode}
-rbloc~=~<comma~list~of~positive~integers>
-\end{lyxcode}
+Readability\index{formatting!grouping rows|(}\index{row grouping|(}
+of long columns of figures can be aided by breaking the columns into
+blocks with extra white space between blocks of rows. This is achieved
+with the \verb`rbloc`\index{rbloc@\texttt{rbloc}|(} key:
+\begin{verbatim}
+ rbloc = <comma list of positive integers>
+\end{verbatim}
specifies how many rows belong to each block. For example, \verb`rbloc={5,5,6}`
breaks the table into blocks of $5$ rows, $5$ rows, then $6$ rows.
If the number of rows in the table is greater than the sum of the
entries in the comma list, then division into blocks continues as
-specified by the last entry in the comma list. Thus \texttt{rbloc=5}
-(strictly \texttt{rbloc=\{5\}} but the braces can be omitted in this
+specified by the last entry in the comma list. Thus \verb`rbloc=5`
+(strictly \verb`rbloc={5}` but the braces can be omitted in this
case since no comma is enclosed) divides a table into blocks of $5$
-rows; \texttt{rbloc=\{1,5\}} divides a table into $1$ row followed
-by blocks of $5$ rows. A division of this kind may be appropriate
-when, say, the row variable runs from $0$ to $1$ in increments of
-$0.1$ \textendash{} there are $11$ rows of which the first (when
-the row variable is zero) may have distinctive values.
+rows; \verb`rbloc={1,5}` divides a table into $1$ row followed by
+blocks of $5$ rows. A division of this kind may be appropriate when,
+say, the row variable runs from $0$ to $1$ in increments of $0.1$
+\textendash{} there are $11$ rows of which the first (when the row
+variable is zero) may have distinctive values.
+\noindent{}%
\noindent\begin{minipage}[t]{1\columnwidth}%
\begin{shaded}%
@@ -1531,8 +1587,8 @@ mark to signal the end of the page or the table.\end{shaded}%
\end{minipage}
\medskip{}
-In the next example I have divided the columns into blocks of $5$
-rows by means of the setting \texttt{rbloc=5}.
+In the next example I have divided the rows into blocks of $5$ by
+means of the setting \verb`rbloc=5`.
\begin{verbatim}
\tabulate[ff=;,o,rspec={\theta,10,1+90/10},
rround=0,rbloc=5]
@@ -1540,28 +1596,32 @@ rows by means of the setting \texttt{rbloc=5}.
\end{verbatim}
$\Longrightarrow$ \tabulate[ff=;,o,rspec={\theta,10,1+90/10},
rround=0,rbloc=5]
- { \sin \theta; \cos \theta}[\theta=0][*]
+ { \sin \theta; \cos \theta}[\theta=0][*]\index{rbloc@\texttt{rbloc}|)}
\subsubsection{Adjusting the extra space\texttt{ rblocsep} }
By default \texttt{numerica} sets the extra space between blocks of
rows at \verb`1 ex`. This value can easily by changed with the setting
-\texttt{rblocsep=<length>}. The units need to be included in the specification.
+\verb`rblocsep=<length>`\index{rblocsep@\texttt{rblocsep}}. The
+units need to be included in the specification. \index{formatting!grouping rows|)}\index{row grouping|)}
\subsection{Table placement}
-\label{sec:Table-placement}Tables can be nudged vertically with the
-\LaTeX{} commands \verb`\bigskip`, \verb`\medskip`, \verb`\smallskip`,
+\label{sec:Table-placement}Tables\index{table placement!on the page}
+can be nudged vertically with the \LaTeX{} commands \verb`\bigskip`\index{bigskip@\texttt{\textbackslash bigskip}},
+\verb`\medskip`\verb`\medskip`, \verb`\smallskip`\index{smallskip@\texttt{\textbackslash smallskip}},
usually about $1$, $\sfrac12$ and $\sfrac14$ line spaces (with
-stretch and shrink). \verb`booktabs` provides \verb`\abovetopsep`
-and \verb`\belowbottomsep`, both set by default to \verb`0ex` and
-easily changed by writing, e.g., \verb`\abovetopsep=1.25ex` if you
-want to insert \verb`1.25ex` of space above the table (perhaps to
-fit captions).
+stretch and shrink). \texttt{booktabs}\index{booktabs@\texttt{booktabs}}
+provides \verb`\abovetopsep`\index{abovetopsep@\texttt{\textbackslash abovetopsep}}
+and \verb`\belowbottomsep`\index{belowbottomsep@\texttt{\textbackslash belowbottomsep}},
+both set by default to \verb`0ex` and easily changed by writing,
+e.g., \verb`\abovetopsep=1.25ex` if you want to insert \verb`1.25ex`
+of space above the table (perhaps to fit captions).
\subsubsection{Vertical~alignment}
-\label{subsec:Verticalalignment}By writing\texttt{ }{\ttfamily\verb`valign=<char>`}
+\label{subsec:Verticalalignment}By\index{table placement!on the line}
+writing\texttt{ }{\ttfamily\verb`valign=<char>`}\index{valign@\texttt{valign}}
where \verb`<char>` is one of \verb`t`, \verb`m` or \verb`b` the
vertical alignment of the table can be set relative to the text baseline.\texttt{ }\verb`valign=t`\texttt{
}aligns the top of the table with the text baseline, \verb`valign=b`
@@ -1596,7 +1656,7 @@ the tables align).
\section{Function value formatting}
-\label{sec:Function-value-formatting}
+\label{sec:Function-value-formatting}\index{formatting!function values|(}\index{function value formatting|(}
\begin{table}
\centering{}\caption{\protect\label{tab:Function-value-formatting}Formatting function
values}
@@ -1605,9 +1665,10 @@ values}
\toprule
{\small key} & {\small type} & {\small meaning} & {\small initial}\tabularnewline
\midrule
-{\small\texttt{(pad)}} & {\small int} & {\small (t-notation) phantom padding} & \tabularnewline
+{\small\texttt{(pad)}} & {\small int} & {\small t-notation phantom padding} & \tabularnewline
{\small\texttt{signs}} & {\small int} & {\small sign handling for function-values} & {\small\texttt{0}}\tabularnewline
{\small\texttt{diffs}} & {\small int} & {\small insert differences \& pre-pad with zeros} & {\small\texttt{0}}\tabularnewline
+{\small\texttt{round}} & {\small tokens} & {\small row or col. dependent rounding value} & \tabularnewline
{\small\texttt{Q?}} & {\small tokens} & {\small special cell conditional} & \tabularnewline
{\small\texttt{A!}} & {\small tokens} & {\small special cell formatting} & \tabularnewline
\bottomrule
@@ -1618,30 +1679,32 @@ In previous tables in this document, function values have generally
been limited to a fairly narrow range of values. What happens when
function values span orders of magnitude? Can we accommodate scientific
notation, expressly designed to cope with such orders of magnitude,
-in a natural way? Or, in a different direction, can we form tables
-of function values in fraction form?
+in a natural way? Can we round rows or columns to different rounding
+values? Or, in a different direction, can we form tables of function
+values in fraction form?
\subsection{Trailing optional argument}
\label{subsec:Trailing-optional-argument}The primary tool for function-value
formatting is the trailing optional argument of the \verb`\tabulate`
-command where the rounding value is specified, padding with zeros
-is set or not (generally \emph{set} in tables), scientific notation
-is set or not, and fraction-form output can be specified.
+command where the rounding value\index{rounding value} is specified,
+padding with zeros is set or not (generally \emph{set} in tables),
+scientific notation is set or not, and fraction-form output can be
+specified.
\subsubsection{Fraction-form output}
-\label{subsec:Fraction-form-output}\ref{subsec:rfracFraction-form-rvar}
-showed the row variable in fraction form. Function values can also
-be presented in that form. The problem is that such output requires
-far more computation than other output since finding denominators
-at the specified accuracy is an iterative process that needs to be
-performed for every function value. However, it is feasible for small
-tables. In the tables below, approximations to small positive and
-inverse powers of $\pi$ are listed to $2$ and $4$ decimal places
-of accuracy. It is interesting that all the powers listed can be approximated
-to $4$-place accuracy by $3$-figure denominators (and $\pi^{2}$
-by a $2$-figure denominator).
+\label{subsec:Fraction-form-output}In\index{fraction form!function values|(}\index{function value formatting!fraction form|(}
+\ref{subsec:rfracFraction-form-rvar} we saw how to display the row
+variable in fraction form. Function values can also be presented in
+that form. The problem is that such output requires far more computation
+than other output since finding denominators at the specified accuracy
+is an iterative process that needs to be performed for every function
+value. However, it is feasible for small tables. In the tables below,
+approximations to small positive and inverse powers of $\pi$ are
+listed to $2$ and $4$ decimal places of accuracy. It is interesting
+that all the powers listed can be approximated to $4$-place accuracy
+by $3$-figure denominators (and $\pi^{2}$ by a $2$-figure denominator).\index{row variable!verbatim values|(}\index{sfrac@\texttt{\textbackslash sfrac}}
\begin{verbatim}
\def\mydataiii{\pi,\pi^2,\pi^3,
\pi^{\sfrac12},\pi^{\sfrac13}}
@@ -1659,21 +1722,36 @@ $\Longrightarrow$ \def\mydataiii{\pi,\pi^2,\pi^3,
{ k }[2/s]\qquad
\tabulate[rdata=\mydataiii,rverb=1,rpos=1,
rvar=k,ralign=l,chead={\small $4$ places}]
- { k }[4/s]
+ { k }[4/s]\medskip{}
+
+A second example shows that all four built-in constants to \texttt{numerica}
+and their first few inverse powers can be approximated to $5$ decimal
+places with $3$-figure denominators:\index{sfrac@\texttt{\textbackslash sfrac}}
+\begin{verbatim}
+ \tabulate[rdata={\pi ,e,\phi,\gamma},rverb=1,rvar=k,
+ cspec={n,1,4},chstyle=3,chnudge=9,rules=TthB,/max=1000,
+ ctitle=\lvert k^{\sfrac1n}-p/q \rvert<0.5\times10^{-5}]
+ { k^{\sfrac1n} }[n=1,k=1][/s5]
+\end{verbatim}
+$\Longrightarrow$ \tabulate[rdata={\pi ,e,\phi,\gamma},rverb=1,rvar=k,
+ cspec={n,1,4},chstyle=3,chnudge=9,rules=TthB,/max=1000,
+ ctitle=\lvert k^{\sfrac1n}-p/q \rvert<0.5\times10^{-5}]
+ { k^{\sfrac1n} }[n=1,k=1][/s5]\index{function value formatting!fraction form|)}\index{fraction form!function values|)}\index{row variable!verbatim values|)}
\subsubsection{Scientific notation}
-Elegant scientific notation, set with an \verb`x` in the trailing
-optional argument, is generally not appropriate for use in tables;
-see the first table below. Repeating the \verb`x` \textendash{} \verb`xx`
-\textendash{} in the trailing optional argument (the second table)
-so that scientific notation extends to numbers in the range $[1,10)$
-helps, particularly with the \emph{left} alignment chosen for the
-function-value column, but the result is wasteful of space and the
-repetition of the `$\times10$' is distracting and would be more
-so for a larger table. The \verb`x` specification should be used
-in tables, if at all, only for \emph{small} tables and special cases.
-The \verb`t` option is much preferred; see \ref{subsec:t-option}
+Elegant\index{function value formatting!scientific notations|(} scientific
+notation\index{scientific notation},\index{scientific notation|seealso{t-notation}}
+set with an \verb`x` in the trailing optional argument, is generally
+not appropriate for use in tables; see the first table below. Repeating
+the \verb`x` \textendash{} \verb`xx` \textendash{} in the trailing
+optional argument (the second table) so that scientific notation extends
+to numbers in the range $[1,10)$ helps, particularly with the \emph{left}
+alignment chosen for the function-value column, but the result is
+wasteful of space and the repetition of the `$\times10$' is distracting
+and would be more so for a larger table. The \verb`x` specification
+should be used in tables, if at all, only for \emph{small} tables
+and special cases. The \verb`t` option is much preferred; see \ref{subsec:t-option}
below.
\begin{verbatim}
\tabulate[rspec={x,1,2*3+1},rround=0]
@@ -1686,11 +1764,12 @@ $\Longrightarrow$ \tabulate[rspec={x,1,2*3+1},rround=0]
\tabulate[rspec={x,1,2*3+1},rround=0,calign=l]
{ e^x}[x=-3][*xx]
-\subsubsection{The \texttt{t} option}
+\subsection{The \texttt{t} option}
-\label{subsec:t-option}\emph{HMF} uses a special notation for coping
-with function values spanning orders of magnitude. This notation can
-be invoked by inserting \verb`t` in the trailing optional argument.
+\label{subsec:t-option}\emph{HMF}\index{t-notation|(} uses a special
+notation\index{function value formatting|(seealso{t-notation}} for
+coping with function values spanning orders of magnitude. This notation
+can be invoked by inserting \verb`t` in the trailing optional argument.
Repeating the previous two tables, and adding a \verb`chnudge` value,
gives a more compact and visually appealing result:
\begin{verbatim}
@@ -1706,9 +1785,10 @@ $\Longrightarrow$ \tabulate[rspec={x,1,2*3+1},rround=0,chnudge=24]
\subsubsection{Padding the exponent: \texttt{(pad)}}
-In the second table of the last example some might quibble at the
-lack of alignment of the left parentheses. \emph{HMF} tends to align
-these and \verb`numerica-tables` offers the setting
+In\index{padding with phantoms|(} the second table of the last example
+some might quibble at the lack of alignment of the left parentheses.
+\emph{HMF} tends to align these and \verb`numerica-tables` offers
+the setting
\begin{verbatim}
(pad) = <integer>
\end{verbatim}
@@ -1735,16 +1815,17 @@ Note that this setting is relevant only when the \texttt{t} option
is used in the trailing number-formatting argument of the \verb`\tabulate`
command. Examples in \emph{HMF} of the style exemplified by the first
table are, among others, Tables 8.6, 9.2, 20.1, and of the style exemplified
-by the second table, among many, Tables 9.9, 10.5, 13.1, 14.1, 19.1.
+by the second table, among many, Tables 9.9, 10.5, 13.1, 14.1, 19.1.\index{padding with phantoms|)}
-\subsection{Accommodating signs: \texttt{signs}}
+\paragraph{Accommodating signs: \texttt{signs}}
-\label{subsec:Signs}Instead of $e^{x}$ as the test function, use
-$e^{x}-1.$ Now there are positive, zero and negative function values
-to contend with. Recall that in the \verb`t`-notation the \emph{exponent}
-is the parenthesized integer part of a number and the \emph{significand}
-the following decimal figures. \verb`numerica-tables` offers the
-\verb`signs` key to align (or not) the exponents. The setting is
+\label{subsec:Signs}Instead\index{t-notation!accommodating signs}\index{function value formatting!sign handling|(}
+of $e^{x}$ as the test function, use $e^{x}-1.$ Now there are positive,
+zero and negative function values to contend with. Recall that in
+the \verb`t`-notation the \emph{exponent} is the parenthesized integer
+part of a number and the \emph{significand} the following decimal
+figures. \verb`numerica-tables` offers the \verb`signs`\index{signs@\texttt{signs}|(}
+key to align (or not) the exponents. The setting is
\begin{verbatim}
signs = <integer>
\end{verbatim}
@@ -1799,12 +1880,16 @@ values in the \verb`t`-notation:
\end{verbatim}
$\Longrightarrow$ \tabulate[rspec={x,1,2*3+1},rround=0,
(pad)=2,signs=1]
- { e^x-1}[x=-3][4*tt]\medskip{}
+ { e^x-1}[x=-3][4*tt]\index{t-notation|)}\index{function value formatting!scientific notations|)}\index{padding with phantoms|)}\medskip{}
+
-But the \verb`signs` key is not limited to the \verb`t`-notation.
-In the following tables where the notation is not used, positive values
-for the key, including \verb`signs=1`, give good results (I've included
-also the default setting \textendash{} the third table):
+\subsection{Indicating signs outside the t-notation}
+
+The \verb`signs` key is not limited to the \verb`t`-notation. In
+the following tables where the notation is not used, positive values
+for the key, including \verb`signs=1`\index{signs@\texttt{signs}},
+give good results (I've included also the default setting \textendash{}
+the third table):
\begin{verbatim}
\tabulate[rspec={x,0.1,9},(pad)=2,signs=2]
{ 10\sin 5x}[x=-0.4][*4]\qquad
@@ -1824,14 +1909,63 @@ $\Longrightarrow$ \tabulate[rspec={x,0.1,9},(pad)=2,signs=2]
the function values changes every few entries and \verb`signs=1`
when there are runs of entries of the same sign. Over the range tabulated
here for $10\sin5x$, they would use the middle table of the three,
-\verb`signs=1`.
+\verb`signs=1`.\index{function value formatting!sign handling|)}\index{signs@\texttt{signs}|)}
+
+\subsection{Rounding to varying values}
+
+\label{subsec:Rounding-varying} Above\index{rounding value!row/col-dependent|(},
+in \ref{subsec:Fraction-form-output}, we created two tables of fraction-form
+approximations to simple power functions of $\pi$, one accurate to
+two places of decimals, one to four places. Version 3.1 of \texttt{numerica-tables}
+(as distinct from version 3.0) offers the means of producing tables
+with rounding values depending on position in the table. This is effected
+through the key \index{round@\texttt{round}|(}
+\begin{verbatim}
+ round = f(rvar,cvar)
+\end{verbatim}
+where \texttt{f(rvar,cvar)} denotes a function of row and column variables.
+Usually this will mean dependence either on row variable or column
+variable rather than both. In the present instance we form a multi-function
+table and with the \verb`round` key let the rounding value equal
+the row variable value \verb`r` (\verb`round=r`) to obtain fractional
+approximations to simple powers of $\pi$ at rounding values from
+$1$ to $5$ (and discover that all these values can be approximated
+to $5$ decimal places with $3$ figure denominators \textendash{}
+$\pi^{2}$ only just).\index{multi-function tables}\index{fraction form!row/col-dependent rounding}
+\begin{verbatim}
+ \tabulate[ff,rspec={r,1,5},round=r,/max=999,chstyle=2,
+ ctitle=\lvert\pi^k-\sfrac mn\rvert<0.5\times10^{-r}]
+ { \pi,\pi^2,\pi^3,\pi^{1/2},\pi^{1/3}}[r=1][/s]
+\end{verbatim}
+$\Longrightarrow$ \tabulate[ff,rspec={r,1,5},round=r,/max=999,chstyle=2,
+ ctitle=\lvert\pi^k-\sfrac mn\rvert<0.5\times10^{-r}]
+ { \pi ,\pi^2,\pi^3,\pi^{1/2},\pi^{1/3}}[r=1][/s]\index{fraction form!function values}\index{function value formatting!fraction form}\medskip{}
+
+Another place where a variable rounding value can be of value is when
+a function being tabulated changes slowly for each step in the row
+variable value; the value of the cosine for instance changes from
+$1.0000$ to $\eval{\cos10\degree}[4]$ between $0\degree$ and $10\degree$.
+\emph{Part} of a table of the cosine might be something like the following,
+where values in the initial rows of the table are rounded to a higher
+value than in later rows. \verb`round` is set to an expression involving
+the row variable in boolean elements \verb`\theta<11` and \verb`\theta>10`
+which evaluate to $0$ or $1$ so that \verb`round` takes the value
+$6$ for the initial rows of the table and the value $4$ thereafter.
+\begin{verbatim}
+ \tabulate[o,rspec={\theta,1,6},calign=l,chnudge=15,
+ round=6(\theta<11)+4(\theta>10)]
+ { \cos\theta }[\theta=8]
+\end{verbatim}
+$\Longrightarrow$ \tabulate[o,rspec={\theta,1,6},calign=l,chnudge=15,
+ round=6(\theta<11)+4(\theta>10)]
+ { \cos\theta }[\theta=8]\index{rounding value!row/col-dependent|)}\index{round@\texttt{round}|)}
\subsection{Differences: \texttt{diffs}}
-In fine-grained tables where function values change only slowly from
-entry to entry it can be helpful to include a difference entry between
-function-value entries as an aid to interpolation (and a test of eyesight).
-By entering
+In\index{differences|(} fine-grained tables where function values
+change only slowly from entry to entry it can be helpful to include
+a difference entry between function-value entries as an aid to interpolation
+(and a test of eyesight). By entering
\begin{lyxcode}
diffs~=~<non-negative~integer>
\end{lyxcode}
@@ -1887,11 +2021,12 @@ too small. (A left alignment of the function value column is another
way of tackling this issue.) When the \texttt{diffs} setting is too
big, alignment is fine but differences are padded with unnecessary
leading zeros, meaning the column header will need a bigger nudge
-to bring \emph{it} into alignment.
+to bring \emph{it} into alignment. \index{differences|)}
\subsection{Formatting special values: \texttt{Q?} and \texttt{A!}}
-You may wish to highlight or display in some special way a particular
+You\index{function value formatting!highlighting special values|(}\index{Q?@\texttt{Q?}|(}\index{A@\texttt{A"!}|(}
+may wish to highlight or display in some special way a particular
function value or values. \verb`\nmcTabulate` has two related settings
that enable this: \verb`Q?=<tokens>` and \verb`A!=<tokens>`. As
the names suggest: Question? and Answer!
@@ -1909,9 +2044,10 @@ $\ne$),\texttt{ }\verb`>=` (for $\ge$), and\texttt{ }\verb`<=`
(for $\le$) will be digested by \verb`l3fp`. In addition there are
\verb`||` for logical Or, \verb`&&` for logical And, and \verb`!`
for logical Not; \verb`exp(1)` for $e$ and \verb`pi` (no backslash)
-for $\pi$. \texttt{numerica-tables} provides \verb`MAX` and \verb`MIN`
-for the maximum and minimum function values tabulated, and uses \verb`@`
-to denote the current function value.
+for $\pi$. \texttt{numerica-tables} provides \verb`MAX`\index{MAX@\texttt{MAX}}
+and \verb`MIN`\index{MIN@\texttt{MIN}} for the maximum and minimum
+function values tabulated, and uses \verb`@` to denote the current
+function value.
So, a query might be \verb`Q?=@<0`, \emph{Is the current function
value negative?}, or \verb`Q?={@>=pi}`, \emph{Is the current function
@@ -1947,10 +2083,11 @@ $\Longrightarrow$ \tabulate
\subsubsection{Star option: \texttt{\textbackslash nmcTabulate{*}}}
-\label{sec:Star-option}If the \verb`Q?` question is satisfied by
-at least one function value then adding a star (asterisk) to the \verb`\tabulate`
-command will display the first such instance. Like other starred commands
-in the \verb`numerica` suite (\verb`\eval*`, \verb`info*`, \verb`\macros*`,
+\label{sec:Star-option}If\index{nmcTabulate@\texttt{\textbackslash nmcTabulate}!star (*) option@star (\texttt{{*}}) option}
+the \verb`Q?` question is satisfied by at least one function value
+then adding a star (asterisk) to the \verb`\tabulate` command will
+display the first such instance. Like other starred commands in the
+\verb`numerica` suite (\verb`\eval*`, \verb`info*`, \verb`\macros*`,
\verb`\constants*`, \verb`\iter*`, \verb`\solve*` and \verb`\recur*`),
\verb`\tabulate*` outputs a single number. Using the star means
you do not need an answering \verb`A!` to the query \verb`Q?` since
@@ -1971,7 +2108,7 @@ the first function value encountered outside the interval $[0,0.5]$.
If you want the \emph{maximum} value that has been tabulated then,
from version 3 of \texttt{numerica-tables}, you do not even need the
query: when \verb`\tabulate` is starred, \verb`Q?` is initialized
-behind the scenes to \verb`@=MAX`.\footnote{\noindent In the unlikely event that someone \emph{consistently} wanted
+behind the scenes to \verb`@=MAX`\index{MAX@\texttt{MAX}}.\footnote{\noindent In the unlikely event that someone \emph{consistently} wanted
some other query to be asked \textendash{} the minimum value perhaps,
or first negative value or \ldots{} \textendash{} please let the author
know. It would be straightforward to use a package option to give
@@ -1995,7 +2132,8 @@ $\Longrightarrow$ \tabulate
\paragraph{Errors}
-If \emph{no} function value satisfies a query then a message is generated:
+If\index{error messages} \emph{no} function value satisfies a query
+then a message is generated:
\begin{verbatim}
\tabulate*[rspec={n,1,1+(15-4)},
cspec={m,1,1+(5-2)},Q?=@>1]
@@ -2004,7 +2142,7 @@ If \emph{no} function value satisfies a query then a message is generated:
$\Longrightarrow$ \tabulate*
[rspec={n,1,1+(15-4)},cspec={m,1,1+(5-2)},
Q?=@>1]
- { \cos(m\pi/n) }[n=4,m=2][*4]
+ { \cos(m\pi/n) }[n=4,m=2][*4]\index{Q?@\texttt{Q?}|)}\index{A@\texttt{A"!}|)}
\paragraph{Scientific notation}
@@ -2027,7 +2165,7 @@ $\Longrightarrow$ $
[rspec={n,1,1+(15-4)},cspec={m,1,1+(5-2)},
Q?={@<-1e-14||@>0.5+1e-14},A!=]
{ \cos(m\pi/n) }[n=4,m=2][*4x]
- $.
+ $.\index{formatting!function values|)}\index{function value formatting|)}\index{function value formatting!highlighting special values|)}
\section{Other matters}
@@ -2035,9 +2173,10 @@ Here I group items that do not fit naturally into the earlier categories.
\subsection{Nesting}
-\label{subsec:Nesting}A \verb`\tabulate` command can be nested within
-other commands from the \verb`numerica` suite, and those other commands
-can be nested within a \verb`\tabulate` command.
+\label{subsec:Nesting}A\index{nmcTabulate@\texttt{\textbackslash nmcTabulate}!nesting}
+\verb`\tabulate` command can be nested within other commands from
+the \verb`numerica` suite, and those other commands can be nested
+within a \verb`\tabulate` command.
Occasionally one might want to extract a value from a table to insert
in another command. This can be done by nesting a \verb`\tabulate*`
@@ -2105,14 +2244,14 @@ of signals between points fixed on a rotating disk.
\subsection{Saving tables to file}
-\label{sec:reuse-setting}In earlier versions of \texttt{numerica-tables}
-it was possible to save a table to file, or a row or a column or a
-particular value from a table, by giving a \emph{setting} \verb`reuse`
-a value. From version 3.0.0, in the interests of simplifying use (and
-avoiding code complications) the \verb`reuse` \emph{setting} has
-been discontinued. The \verb`\reuse` (or \verb`\nmcReuse`) \emph{command}
-remains (as part of the \texttt{numerica} package) and can be used
-to save the most recent table to file.
+\label{sec:reuse-setting}In\index{tables!saving to file}\index{saving tables to file}
+earlier versions of \texttt{numerica-tables} it was possible to save
+a table to file, or a row or a column or a particular value from a
+table, by giving a \emph{setting} \verb`reuse` a value. From version
+3.0.0, in the interests of simplifying use (and avoiding code complications)
+the \verb`reuse` \emph{setting} has been discontinued. The \verb`\reuse`
+(or \verb`\nmcReuse`) \emph{command} remains (as part of the \texttt{numerica}
+package) and can be used to save the most recent table to file.
In the following example, a table is created and then saved to file
and to the macro \verb`\mytable` by the subsequent \verb`\reuse`
@@ -2156,12 +2295,13 @@ command. These have been described in the associated document \texttt{numerica.p
\subsection{Viewing the \protect\LaTeX{} form}
-In previous versions of \texttt{numerica-tables} the \verb`dbg` and
-\verb`view` settings were disabled. In version 3, they have been
-enabled to the extent that the \LaTeX{} form of a table can be viewed
-by entering either \verb`dbg=11` or, less nerdishly, \verb`view`
-into the settings option of \verb`\nmcTabulate`. In the example I
-first create the table and then use the \verb`view` setting:
+In\index{tables!viewing LaTeX form@viewing \LaTeX{} form} previous
+versions of \texttt{numerica-tables} the \verb`dbg` and \verb`view`\index{view@\texttt{view}}
+settings were disabled. In version 3, they have been enabled to the
+extent that the \LaTeX{} form of a table can be viewed by entering
+either \verb`dbg=11` or, less nerdishly, \verb`view` into the settings
+option of \verb`\nmcTabulate`. In the example I first create the
+table and then use the \verb`view` setting:
\begin{verbatim}
\tabulate[view,rvar=x,rstep=0.2,rstop=1]
@@ -2185,7 +2325,7 @@ $\Longrightarrow$ \tabulate [view,rvar=x,rstep=0.2,rstop=1]
\toprule
{\small key} & {\small type} & {\small meaning} & {\small comment}\tabularnewline
\midrule
-{\small\texttt{rvar}} & {\small token(s)} & {\small row-variable} & \tabularnewline
+{\small\texttt{rvar}} & {\small token(s)} & {\small row variable} & \tabularnewline
{\small\texttt{rstep}} & {\small real num} & {\small step size} & \tabularnewline
{\small\texttt{rstop}} & {\small real num} & {\small stop value} & \multirow{2}{3cm}{either {\small\texttt{rstop}}{\small{} or }{\small\texttt{rows}}{\small ,
not both}}\tabularnewline
@@ -2218,7 +2358,7 @@ values verbatim} & {\small default }{\small\texttt{0}}\tabularnewline
\begin{center}
\begin{tabular}{ll>{\raggedright}p{4cm}l}
\toprule
-{\small key} & {\small type} & {\small meaning} & {\small default}\tabularnewline
+{\small key} & {\small type} & {\small meaning} & {\small initial}\tabularnewline
\midrule
{\small\texttt{rround}} & {\small int} & {\small rounding} & {\small\texttt{1}}\tabularnewline
{\small\texttt{ralign}} & {\small char (}{\small\texttt{r/c/l}}{\small )} & {\small horizontal alignment} & {\small\texttt{r}}\tabularnewline
@@ -2226,11 +2366,12 @@ values verbatim} & {\small default }{\small\texttt{0}}\tabularnewline
{\small\texttt{rhead}} & {\small tokens} & {\small header} & {\small\texttt{rvar}}\tabularnewline
{\small\texttt{rhnudge}} & int & {\small nudge header }{\small{\small\verb`rhnudge`}}{\small{}
mu} & {\small\texttt{0}}\tabularnewline
-{\small\texttt{rpos}} & {\small int (}{\small\texttt{0}}{\small\ldots}{\small\texttt{4}}{\small )} & {\small column position(s)} & {\small\texttt{1}}\tabularnewline
-{\small\texttt{rvar'}} & {\small token(s)} & {\small 2nd row-variable col. spec.} & {\small\texttt{rvar}}\tabularnewline
+{\small\texttt{rpos}} & {\small int (}{\small\texttt{0}}{\small\ldots}{\small\texttt{4}}{\small )} & & {\small\texttt{1}}\tabularnewline
+{\small\texttt{rvar'}} & {\small token(s)} & {\small 2nd row variable col. spec.} & {\small\texttt{rvar}}\tabularnewline
{\small\texttt{rhead'}} & {\small token(s)} & {\small header of 2nd r-v col. (if it exists)} & {\small\texttt{rvar'}}\tabularnewline
{\small\texttt{rhnudge'}} & int & {\small nudge 2nd r-v col. header }{\small{\small\verb`rhnudge'`}}{\small{}
mu} & {\small\texttt{0}}\tabularnewline
+{\small\texttt{rfrac}} & {\small int (}{\small\texttt{0}}{\small\ldots 5)} & {\small fraction form} & {\small\texttt{0}}\tabularnewline
\bottomrule
\end{tabular}
\par\end{center}
@@ -2243,7 +2384,7 @@ mu} & {\small\texttt{0}}\tabularnewline
\toprule
{\small key} & {\small type} & {\small meaning} & {\small default}\tabularnewline
\midrule
-{\small\texttt{cvar}} & {\small token(s)} & {\small column-variable} & \tabularnewline
+{\small\texttt{cvar}} & {\small token(s)} & {\small column variable} & \tabularnewline
{\small\texttt{cstep}} & {\small real num} & {\small step size} & \tabularnewline
{\small\texttt{cstop}} & {\small real num} & {\small stop value} & {\small either }{\small\texttt{cstop}}\tabularnewline
{\small\texttt{cols}} & {\small int} & {\small number of columns} & {\small or }{\small\texttt{cols}}{\small , not both}\tabularnewline
@@ -2266,7 +2407,7 @@ mu} & {\small\texttt{0}}\tabularnewline
{\small\texttt{calign}} & {\small char (r/c/l)} & {\small column alignment} & {\small\texttt{r}}\tabularnewline
{\small\texttt{chnudge}} & {\small int} & {\small nudge header }{\small{\small\verb`chnudge`}}{\small{}
mu} & {\small\texttt{0}}\tabularnewline
-{\small\texttt{chround}} & {\small int} & {\small column header rounding} & {\small\texttt{0}}\tabularnewline
+{\small\texttt{chround}} & {\small int} & {\small{} rounding} & {\small\texttt{0}}\tabularnewline
\bottomrule
\end{tabular}
\par\end{center}\newpage{}
@@ -2279,7 +2420,7 @@ mu} & {\small\texttt{0}}\tabularnewline
\toprule
{\small key} & {\small type} & {\small meaning} & {\small default}\tabularnewline
\midrule
-{\small\texttt{(pad)}} & {\small int} & {\small (t-notation) phantom padding} & \tabularnewline
+{\small\texttt{(pad)}} & {\small int} & {\small t-notation phantom padding} & \tabularnewline
{\small\texttt{signs}} & {\small int} & {\small sign handling for function-values} & {\small\texttt{0}}\tabularnewline
{\small\texttt{diffs}} & {\small int} & {\small insert differences \& pre-pad with zeros} & {\small\texttt{0}}\tabularnewline
{\small\texttt{Q?}} & {\small tokens} & {\small special cell conditional} & \tabularnewline
@@ -2297,11 +2438,11 @@ mu} & {\small\texttt{0}}\tabularnewline
{\small key} & {\small type} & {\small meaning} & {\small default}\tabularnewline
\midrule
{\small\texttt{ctitle}} & {\small token(s)} & {\small collective title for function-value columns} & \tabularnewline
-{\small\texttt{cmidrow}} & {\small token(s)} & {\small inter-header/title row for} {\small function-value columns} & \tabularnewline
+ & {\small token(s)} & {\small inter-header/title row for} {\small function-value columns} & \tabularnewline
{\small\texttt{header}} & {\small int (}{\small\texttt{0/1}}{\small )} & {\small suppress/show header row} & {\small\texttt{1}}\tabularnewline
{\small\texttt{rules}} & {\small char(s)} & {\small horizontal rules template} & {\small\texttt{ThB}}\tabularnewline
{\small\texttt{foot}} & {\small token(s)} & {\small content of footer line} & \tabularnewline
-{\small\texttt{rpos}} & {\small int (}{\small\texttt{0}}{\small\ldots}{\small\texttt{4}}{\small )} & {\small row-variable column position(s)} & {\small\texttt{1}}\tabularnewline
+{\small\texttt{rpos}} & {\small int (}{\small\texttt{0}}{\small\ldots}{\small\texttt{4}}{\small )} & {\small row variable } & {\small\texttt{1}}\tabularnewline
{\small\texttt{rbloc}} & {\small comma list} & {\small division of rows into blocks} & \tabularnewline
{\small\texttt{valign}} & {\small char (}{\small\texttt{t}}/{\small\texttt{m}}/{\small\texttt{b}}{\small )} & {\small vertical alignment of table relative to text baseline} & {\small\texttt{m}}\tabularnewline
\bottomrule
@@ -2313,4 +2454,6 @@ mu} & {\small\texttt{0}}\tabularnewline
\verb`view`, equivalent to \verb`dbg=11`: show the \LaTeX{} expression
for the table.
+
+{\small\printindex}{\small\par}
\end{document}
diff --git a/macros/latex/contrib/robust-externalize/README.md b/macros/latex/contrib/robust-externalize/README.md
new file mode 100644
index 0000000000..9f0d70318e
--- /dev/null
+++ b/macros/latex/contrib/robust-externalize/README.md
@@ -0,0 +1,7 @@
+# `robust-externalize`
+
+LaTeX library to cache anything (TikZ, python…), in a robust, efficient and pure way. For more information, see the documentation in [`robust-exteralize.pdf`][1].
+
+The project, created by Léo Colisson, is hosted at https://github.com/leo-colisson/robust-externalize . Feel free to report any bug there. It is licensed under MIT.
+
+ [1]: https://raw.githubusercontent.com/leo-colisson/robust-externalize/master/doc/robust-externalize.pdf
diff --git a/macros/latex/contrib/robust-externalize/robust-externalize.pdf b/macros/latex/contrib/robust-externalize/robust-externalize.pdf
new file mode 100644
index 0000000000..a20079e4cd
--- /dev/null
+++ b/macros/latex/contrib/robust-externalize/robust-externalize.pdf
Binary files differ
diff --git a/macros/latex/contrib/robust-externalize/robust-externalize.sty b/macros/latex/contrib/robust-externalize/robust-externalize.sty
new file mode 100644
index 0000000000..38f8c6ded5
--- /dev/null
+++ b/macros/latex/contrib/robust-externalize/robust-externalize.sty
@@ -0,0 +1,1302 @@
+\ProvidesPackage{robust-externalize}[1.0 Cache anything (tikz, latex, python) in a robust, efficient and pure way.]
+% todo: understand why python scripts with raise NameError("42") do not make latex crash.
+
+\RequirePackage{pgfkeys} % We use the /robExt/... path to store our keys.
+\RequirePackage{pgffor} % For the .list keys
+\RequirePackage{graphicx} % For the includegraphics command
+\RequirePackage{verbatim} % For the \verbatim command, useful for debugging purpose for instance
+\RequirePackage{xsimverb} % To easily write verbatim code to files
+
+%% TODO list:
+% - provide an easy way to use cross-ref, bibtex etc (we just need to add them when writing the file) without recompiling the whole document (we don't want to lose the cache everytime a new bib entry is added) but while preserving.
+% - create pre-made settings for tikz, tikz-cd, ...
+% - check compatibility with windows
+% - write documentation
+
+%%% Under the hood, this library is quite simple: each picture must, somehow, provide:
+%% - \l_robExt_final_file LaTeX3 string containing the content of the final file
+%% -
+%% Then, the library will hash everything to create a unique name (of the content, the template code, and the set of dependency filenames),
+%% it will create a file "MD5.tex" containing the pre-template+content+post-template, and it will compile it.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%% Utils %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%% Utils:
+% https://tex.stackexchange.com/questions/690700/latex3-elegant-way-to-forward-a-variable-outside-of-the-group
+% modified to deal with csname instead
+\def\robExtKeepaftergroup#1{%
+ %\global \expandafter \expandafter \let \csname x:#1\endcsname =\csname #1\endcsname
+ \global \expanded{\noexpand \let \expandafter\noexpand\csname x:#1\endcsname =\expandafter\noexpand\csname #1\endcsname}
+ \aftergroup\let
+ \expandafter\aftergroup\csname #1\endcsname%
+ \expandafter\aftergroup \csname x:\string#1\endcsname
+}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%% SCRIPTS %%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%% Create scripts to remove useless files:
+%%% Note that we don't override the script if it exists on purpose (the user might have changed it to fits his needs)
+\begin{filecontents}[noheader]{robExt-remove-old-figures.py}
+#!/usr/bin/env python3
+import os
+import re
+import glob
+# Just run this script in order to remove all old figures not listed in robExt-all-figures.txt.
+
+# Note that this part is not extracted from the pdf file since it might be different on a previous run. You can however hardcode
+# it here, your updated script will not be overriden unless you remove it yourself.
+prefixes = [ "robExt-" ]
+folders = [ "robustExternalize" ]
+
+def main():
+ imagesToKeep = dict()
+ list_all_figures_file = glob.glob('*robExt-all-figures.txt')
+ for filename in list_all_figures_file:
+ with open(filename) as f:
+ for line in f:
+ line = line.strip()
+ if line.endswith('.tex'):
+ imagesToKeep[line[:-4]] = True # The exact value is not important, we mostly use dict to get ~O(1) access
+
+ listOfFilesToRemove = []
+ # We are looking for images in the folders
+ for folder in folders:
+ for root, dirs, files in os.walk(folder):
+ for f in files:
+ for prefix in prefixes: # Not the most efficient, but anyway we typically have a single prefix
+ # In case prefix contains weird caracters that collide with regexps:
+ prefixEsc = re.escape(prefix)
+ # result_search = re.search(rf"^({prefixEsc}[A-F0-1]{32}).*", f)
+ result_search = re.search(rf"^(.*[A-F0-9]{{32}}).*", f)
+ if result_search:
+ if result_search.group(1) not in imagesToKeep:
+ listOfFilesToRemove.append(os.path.join(root,f))
+ for f in listOfFilesToRemove:
+ print(f"-- {f}")
+ print(f"Above are the files to remove, are you sure you want to proceed? [y/N] (based on prefixes {prefixes})")
+ x = input().strip()
+ if x not in ["y", "Y"]:
+ print("All right, we abort.")
+ exit(1)
+ for f in listOfFilesToRemove:
+ os.remove(f)
+ print(f"Removed {f}")
+
+if __name__ == '__main__':
+ main()
+\end{filecontents}
+
+\ExplSyntaxOn
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%% Paths %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\def\robExtPrefixFilename{robExt-}
+
+\NewExpandableDocumentCommand{\robExtAddCachePathAndName}{m}{%
+ \ifdefined\robExtCacheFolder%
+ \robExtCacheFolder%
+ \fi\robExtPrefixFilename#1%
+}
+
+\NewExpandableDocumentCommand{\robExtAddCachePath}{m}{%
+ \ifdefined\robExtCacheFolder%
+ \robExtCacheFolder%
+ \fi#1%
+}
+
+
+\NewDocumentCommand{\robExtCheckIfPrefixFolderExists}{}{
+ % Check if the output directory exists
+ \ifdefined\robExtCacheFolder
+ \sys_if_shell_unrestricted:TF{
+ \ifdefined\robExtDoNotMkdirFolder\else
+ \ifdefined\robExtManualMode
+ \message{If ~ you ~ get~ an~ error,~ make ~ sure ~ to ~ create ~ the ~ folder ~ \robExtCacheFolder.}
+ \else
+ \sys_shell_now:x {mkdir ~ -p ~ \robExtCacheFolder}
+ \fi
+ \fi
+ }{
+ \message{If ~ you ~ get~ an~ error,~ make ~ sure ~ to ~ enable ~ pdflatex ~ -shell-escape ~ or ~ to ~ manually ~ create ~ the ~ folder ~ \robExtCacheFolder.}
+ }
+ \fi
+}
+
+\NewExpandableDocumentCommand{\robExtGetPrefixPath}{}{%
+ \ifdefined\robExtCacheFolder%
+ \robExtCacheFolder%
+ \fi%
+}
+
+
+\NewExpandableDocumentCommand{\robExtAddPrefixName}{m}{%
+ \robExtPrefixFilename#1%
+}
+
+%% Todo: not sure if I should use \seq_push:Nx \l_file_search_path_seq {subfolder}
+%% to find the subfolder (seems to work for input/includegraphics/...), or if it's
+%% better to hardcode the subfolder.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%% Setup new commands and variables %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\cs_generate_variant:Nn\seq_remove_all:Nn { NV }
+\cs_generate_variant:Nn\tl_rescan:nn { nv }
+\cs_generate_variant:Nn\tl_set_rescan:Nnn { Nnv }
+%\cs_generate_variant:Nn\tl_set_rescan:cnn { cnv }
+\cs_generate_variant:Nn \iow_now:Nn { NV }
+\cs_generate_variant:Nn \iow_now:Nn { Nx }
+\cs_generate_variant:Nn \iow_open:Nn { Nx }
+\cs_generate_variant:Nn \ior_str_get:NN { Nc }
+\cs_generate_variant:Nn \str_replace_all:Nnn { NnV }
+\cs_generate_variant:Nn \str_replace_all:Nnn { Nnx }
+\cs_generate_variant:Nn \str_replace_all:Nnn { Nnv }
+\cs_generate_variant:Nn \file_if_exist:nTF { xTF }
+\cs_generate_variant:Nn \str_set:Nn { NV }
+
+%% Temporary: used when quickly writing to a file
+\iow_new:N \g_robExt_write_iow
+\ior_new:N \g_robExt_read_ior
+%% This is used to write the full list of figures in a single file (used for instance by Makefile etc...)
+%% TODO: create a makefile.
+\iow_new:N \g_robExt_write_list_all_figures
+%% Create a file robExt-all-figures.txt with the list of .tex files
+\iow_open:Nx \g_robExt_write_list_all_figures {\jobname-\robExtAddPrefixName{all-figures.txt}}
+\iow_new:N \g_robExt_write_manually_compile_all_missing_figures
+\iow_open:Nx \g_robExt_write_manually_compile_all_missing_figures {\jobname-\robExtAddPrefixName{compile-missing-figures.sh}}
+% Contains the template:
+\str_new:N \l_robExt_template
+\str_new:N \l_robExt_final_file
+
+% Contains the list of dependency files (useful to compute the final md5sum)
+\seq_new:N \l_robExt_dependencies
+% Contains a string where on each line we have: "md5sum, dependency". The first line has nothing as "dependency" as it is the main fine whose final name is the md5sum of the dependencies.
+\str_new:N \l_robExt_dependencies_mdfive
+% Contains the current compilation command (including the name of the file to compile).
+\str_new:N \l_robExt_currentCompilationCommand
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%% Placeholders %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%% Placeholders are strings like "__MYLIBRARY__" or "__MAINCONTENT__" that will be replaced by a given content.
+%% In practice:
+%% - for every placeholder MYPLACEHOLDER, a macro \l_robExt_placeholder_MYPLACEHOLDER_str is created, containing
+%% the string to use to replace it
+%% - a sequence \l_robExt_placeholders_seq that is a list of string, contains the list of all placeholders,
+%% in a string, like [MYLIBRARY, MAINCONTENT] etc...
+%% One issue is that LaTeX does not keep some symbols (e.g. % etc...) when used inside a macro, so we define
+%% different commands depending on whether they can be used in a macro or not, whether they should be taken
+%% from an external file etc...
+\seq_clear_new:N \l_robExt_placeholders_seq
+
+\NewDocumentCommand{\robExtShowPlaceholder}{sm}{
+ \message{Placeholder ~ #2 ~ contains:^^J~ \use:c{l_robExt_placeholder_#2_str}}
+ \IfBooleanTF{#1}{\cs_show:c { l_robExt_placeholder_#2_str }}{}
+}
+
+\NewDocumentCommand{\robExtShowPlaceholders}{s}{
+ \message{List ~ of ~ placeholders:}
+ \seq_map_inline:Nn \l_robExt_placeholders_seq {\message{##1,}}
+ \IfBooleanTF{#1}{\cs_show:N \l_robExt_placeholders_seq}{}
+}
+
+\NewDocumentCommand{\robExtShowPlaceholdersContents}{s}{
+ \message{List ~ of ~ placeholders:}
+ \seq_map_inline:Nn \l_robExt_placeholders_seq {\robExtDebugPlaceholder{##1}}
+ \IfBooleanTF{#1}{\cs_show:N \l_robExt_placeholders_seq}{}
+}
+
+\NewDocumentCommand{\robExtPrintPlaceholderNoReplacement}{sm}{%
+ % For some reasons, newlines are displayed as \Omega. We need to replace them with \\
+ % https://tex.stackexchange.com/questions/694716/print-latex3-string-verbatim/694717
+ \tl_set_eq:Nc \l_robExt_tmp_str { l_robExt_placeholder_#2_str }
+ \tl_replace_all:Nnn \l_robExt_tmp_str {^^J} { \par }
+ \tl_replace_all:Nnn \l_robExt_tmp_str { ~ } { \ }
+ \IfBooleanTF{#1}{\texttt{\use:c{l_robExt_placeholder_#2_str}}}{\begin{flushleft}\ttfamily%
+ \l_robExt_tmp_str
+ \end{flushleft}%
+ }
+}
+\let\printPlaceholderNoReplacement\robExtPrintPlaceholderNoReplacement
+
+\NewDocumentCommand{\robExtPrintPlaceholder}{sm}{%
+ \robExtGetPlaceholderInResult{#2}
+ % For some reasons, newlines are displayed as \Omega. We need to replace them with \\
+ % https://tex.stackexchange.com/questions/694716/print-latex3-string-verbatim/694717
+ \tl_set_eq:NN \l_robExt_tmp_str \l_robExt_result_str
+ \tl_replace_all:Nnn \l_robExt_tmp_str {^^J} { \par }
+ \tl_replace_all:Nnn \l_robExt_tmp_str { ~ } { \ }
+ \IfBooleanTF{#1}{\texttt{\l_robExt_tmp_str}}{\begin{flushleft}\ttfamily%
+ \l_robExt_tmp_str
+ \end{flushleft}%
+ }
+}
+\let\printPlaceholder\robExtPrintPlaceholder
+
+
+\NewDocumentCommand{\robExtPrintAllPlaceholdersExceptDefaults}{s}{
+ List ~ of ~ placeholders:\\
+ \seq_map_inline:Nn \l_robExt_placeholders_seq {
+ % We hide the elements starting with __ROBEXT_
+ \str_if_in:nnTF { ##1 } { __ROBEXT_ } {
+ \IfBooleanTF {#1} {
+ - ~ Placeholder ~ called ~ \texttt{\tl_to_str:n {##1}} ~ defined ~ by ~ default ~ (we ~ hide ~ the ~ definition ~ to ~ save ~ space)\\
+ }{}
+ }{
+ - ~ Placeholder ~ called ~ \texttt{\tl_to_str:n {##1}} ~ contains: \robExtPrintPlaceholderNoReplacement{##1}
+ }
+ }
+}
+\let\printAllPlaceholdersExceptDefaults\robExtPrintAllPlaceholdersExceptDefaults
+
+\NewDocumentCommand{\robExtPrintAllPlaceholders}{}{
+ List ~ of ~ placeholders:\\
+ \seq_map_inline:Nn \l_robExt_placeholders_seq {- ~ Placeholder ~ called ~ \texttt{\tl_to_str:n {##1}} ~ contains: \robExtPrintPlaceholderNoReplacement{##1}}
+}
+\let\printAllPlaceholders\robExtPrintAllPlaceholders
+
+
+\NewDocumentCommand{\robExtEvalPlaceholderNoReplacement}{m}{
+ % \scantokens{\use:c{l_robExt_placeholder_#1_str}}
+ % scantokens add an empty space at the end, so we need to add \empty to avoid it having effects
+ % https://tex.stackexchange.com/questions/213659/could-someone-further-elucidate-expansion-catcodes-and-scantokens
+ %\exp_args:Nx \scantokens {\use:c{l_robExt_placeholder_#1_str}}
+ \tl_rescan:nv {}{ l_robExt_placeholder_#1_str }
+ % \tl_rescan:nc { } { l_robExt_placeholder_#1_str }
+}
+\let\evalPlaceholderNoReplacement\robExtEvalPlaceholderNoReplacement
+
+\NewDocumentCommand{\robExtGetPlaceholderNoReplacement}{m}{
+ \str_use:c { l_robExt_placeholder_#1_str }
+}
+\let\getPlaceholderNoReplacement\robExtGetPlaceholderNoReplacement
+
+
+% Make sure that the placeholder is in the list \l_robExt_placeholders_seq.
+% This should automatically be called by other tools
+\NewDocumentCommand{\robExtAddPlaceholderToList}{m}{
+ % Make sure we have a string here:
+ \str_set:Nn \l_robExt_tmp_str { #1 }
+ % First we remove existing occurrences (useful to avoid listing the same macro more than once
+ % if we redefine a macro):
+ \seq_remove_all:NV \l_robExt_placeholders_seq \l_robExt_tmp_str
+ \seq_put_left:NV \l_robExt_placeholders_seq \l_robExt_tmp_str
+}
+
+\NewDocumentCommand{\robExtRemovePlaceholder}{m}{
+ % This seems to be required to ensure catcodes are correct before removing the elements:
+ \str_set:Nn \l_robExt_tmp_str { #1 }
+ \seq_remove_all:NV \l_robExt_placeholders_seq \l_robExt_tmp_str
+ \expandafter \let \csname l_robExt_placeholder_#1_str \endcsname \undefined
+}
+
+
+%% Usage: \placeholderFromContent{MYTITLE}{My slide title}
+%% MYTITLE will contain at the end "My slide title"
+%% Warning: only LaTeX-friendly code should be placed here, as LaTeX does not preserve some symbols and adds spaces
+%% Tested!
+\NewDocumentCommand{\robExtPlaceholderFromContent}{mm}{
+ \str_set:cn { l_robExt_placeholder_#1_str } {#2}
+ \robExtAddPlaceholderToList{#1}
+}
+\let\placeholderFromContent\robExtPlaceholderFromContent
+\let\robExtSetPlaceholder\robExtPlaceholderFromContent
+\let\setPlaceholder\robExtPlaceholderFromContent
+
+\NewDocumentCommand{\robExtCopyPlaceholder}{mm}{
+ \str_set_eq:cc { l_robExt_placeholder_#1_str } { l_robExt_placeholder_#2_str }
+ \robExtAddPlaceholderToList{#1}
+}
+\let\copyPlaceholder\robExtCopyPlaceholder
+
+
+%% Add something to the right of the placeholder
+%% By default it adds a space in between, unless we use the star version
+\NewDocumentCommand{\robExtAddToPlaceholder}{smm}{
+ \str_if_exist:cTF { l_robExt_placeholder_#2_str } {
+ \str_set:Nn \l_tmp_str {#3} %% needed as put_right does not convert to string first
+ \IfBooleanTF{#1}{}{\str_put_right:cn { l_robExt_placeholder_#2_str } { ~ } }
+ \str_put_right:cV { l_robExt_placeholder_#2_str } \l_tmp_str
+ }{
+ \str_set:cn { l_robExt_placeholder_#2_str } {#3}
+ \robExtAddPlaceholderToList{#2}
+ }
+}
+\let\addToPlaceholder\robExtAddToPlaceholder
+
+%% Add something to the right of the placeholder
+%% By default it adds a space in between, unless we use the star version
+\NewDocumentCommand{\robExtAddBeforePlaceholder}{smm}{
+ \str_if_exist:cTF { l_robExt_placeholder_#2_str } {
+ \str_set:Nn \l_tmp_str {#3} %% needed as put_right does not convert to string first
+ \IfBooleanTF{#1}{}{\str_put_left:cn { l_robExt_placeholder_#2_str } { ~ } }
+ \str_put_left:cV { l_robExt_placeholder_#2_str } \l_tmp_str
+ }{
+ \str_set:cn { l_robExt_placeholder_#2_str } {#3}
+ \robExtAddPlaceholderToList{#2}
+ }
+}
+\let\addBeforePlaceholder\robExtAddBeforePlaceholder
+
+
+% Usage:
+% \begin{placeholderFromCode}{HELPERFUNCTION}
+% def my_helper_function(bla):
+% return bla + 1
+% \end{placeholderFromCode}
+% HELPERFUNCTION will contain at the end "def ..."
+% This environment cannot be placed inside any other macro/align/...
+\NewDocumentEnvironment{RobExtPlaceholderFromCode}{m}{%
+ % % debug part
+ % \str_set:Nn \l_test_str {#1}
+ % \show\l_test_str
+ %% Environments can't use verbatim yet: https://github.com/latex3/latex3/issues/591
+ % Might be related: https://tex.stackexchange.com/questions/633523/saving-the-body-of-an-environment-to-a-file-verbatim-using-xparse
+ %% Here is the first part:
+ %% https://tex.stackexchange.com/a/680259/116348 might work and be more efficient, but it might be less reliable
+ %% and definitely more complicated and error prone. Instead, we write to a file and read the result.
+ %% TODO: try to do it using verbatim, might be trivial or complicated, not sure, maybe see https://tex.stackexchange.com/questions/555359/reading-lines-verbatim-into-a-sequence-variable
+ \XSIMfilewritestart{\jobname-robExt-tmp-file-you-can-remove.tmp}%
+}{%
+ \XSIMfilewritestop%
+ \ior_open:Nn \g_robExt_read_ior {\jobname-robExt-tmp-file-you-can-remove.tmp}%
+ %% Put the file in l_robExt_tmp_contain_file
+ \str_clear_new:N \l_robExt_tmp%
+ \ior_str_map_inline:Nn \g_robExt_read_ior {%
+ \str_gput_right:Nx \l_robExt_tmp {\tl_to_str:N{##1}^^J}%
+ }%
+ \str_set_eq:cN {l_robExt_placeholder_#1_str} \l_robExt_tmp%
+ \robExtAddPlaceholderToList{#1}%
+ %% Otherwise they will be lost when the environment ends
+ \robExtKeepaftergroup{l_robExt_placeholders_seq}%
+ %% for other variable
+ \robExtKeepaftergroup{l_robExt_placeholder_#1_str}%
+}%
+\let\PlaceholderFromCode\RobExtPlaceholderFromCode
+\let\endPlaceholderFromCode\endRobExtPlaceholderFromCode
+\let\SetPlaceholderCode\RobExtPlaceholderFromCode
+\let\endSetPlaceholderCode\endRobExtPlaceholderFromCode
+
+%% Usage:
+%% \placeholderPathFromFilename{MYLIBPATH}{mylib.py}
+%% This will copy mylib.py in the cache, and set MYLIBPATH to the name of the file in the cache like
+%% MYLIBPATH = robExt-abcmylib.py
+%% Tested!
+\NewDocumentCommand{\robExtPlaceholderPathFromFilename}{mm}{
+ \ior_open:Nn \g_robExt_read_ior {#2}
+ %% Put the file in l_robExt_tmp_contain_file
+ \str_clear_new:N \l_robExt_tmp_contain_file
+ \ior_str_map_inline:Nn \g_robExt_read_ior {
+ \str_put_right:Nx \l_robExt_tmp_contain_file {\tl_to_str:N{##1}^^J}
+ }
+ %% computes the new filename based on the md5
+ \str_clear_new:N \l_robExt_tmp_filename
+ \str_set:Nx \l_robExt_tmp_filename_no_prefix {\pdfmdfivesum{\l_robExt_tmp_contain_file}#2}
+ %% Writes the content to the file
+ \robExtCheckIfPrefixFolderExists
+ \iow_open:Nx \g_robExt_write_iow {\robExtAddCachePathAndName{\l_robExt_tmp_filename_no_prefix}}
+ \iow_now:NV \g_robExt_write_iow \l_robExt_tmp_contain_file
+ \iow_close:N \g_robExt_write_iow
+ %% sets the template name to the relative path to the file
+ \str_set:cx { l_robExt_placeholder_#1_str } {\robExtPrefixFilename\l_robExt_tmp_filename_no_prefix}
+ \robExtAddPlaceholderToList{#1}
+}
+\let\placeholderPathFromFilename\robExtPlaceholderPathFromFilename
+
+%% Usage:
+%% \placeholderFromFileContent{MYLIB}{mylib.py}
+%% This will set MYLIB to the content of the file mylib.py
+%% Tested!
+\NewDocumentCommand{\robExtPlaceholderFromFileContent}{mm}{
+ \ior_open:Nn \g_robExt_read_ior {#2}
+ %% Put the file in l_robExt_tmp_contain_file
+ \str_clear_new:N \l_robExt_tmp_contain_file
+ \ior_str_map_inline:Nn \g_robExt_read_ior {
+ \str_put_right:Nx \l_robExt_tmp_contain_file {\tl_to_str:N{##1}^^J}
+ }
+ %% sets the template name to the relative path to the file
+ \str_set_eq:cN { l_robExt_placeholder_#1_str } \l_robExt_tmp_contain_file
+ \robExtAddPlaceholderToList{#1}
+}
+\let\placeholderFromFileContent\robExtPlaceholderFromFileContent
+
+
+%% Usage:
+%% \placeholderPathFromContent{MYLIBPATH}{some code}
+%% This will copy "some code" in the cache, and set MYLIBPATH to the name of the file in the cache like
+%% MYLIBPATH = robExt-abc.py
+%% Tested!
+\NewDocumentCommand{\robExtPlaceholderPathFromContent}{mO{.tex}m}{
+ \str_set:Nn \l_robExt_tmp_contain_file {#3}
+ %% computes the new filename based on the md5
+ \str_clear_new:N \l_robExt_tmp_filename
+ \str_set:Nx \l_robExt_tmp_filename_no_prefix {\pdfmdfivesum{\l_robExt_tmp_contain_file}#2}
+ %% Writes the content to the file
+ \robExtCheckIfPrefixFolderExists
+ \iow_open:Nx \g_robExt_write_iow {\robExtAddCachePathAndName{\l_robExt_tmp_filename_no_prefix}}
+ \iow_now:NV \g_robExt_write_iow \l_robExt_tmp_contain_file
+ \iow_close:N \g_robExt_write_iow
+ %% sets the template name to the relative path to the file
+ \str_set:cx { l_robExt_placeholder_#1_str } {\robExtPrefixFilename\l_robExt_tmp_filename_no_prefix}
+ \robExtAddPlaceholderToList{#1}
+}
+\let\placeholderPathFromContent\robExtPlaceholderPathFromContent
+
+
+%% Usage:
+%% \begin{PlaceholderPathFromCode}{mylibpath}
+%% def blabla():
+%% \end{PlaceholderPathFromCode}
+%% This will copy "some code" in the cache, and set MYLIBPATH to the name of the file in the cache like
+%% MYLIBPATH = robExt-abc.py
+\NewDocumentEnvironment{RobExtPlaceholderPathFromCode}{O{}m}{
+ \XSIMfilewritestart*{\jobname-robExt-tmp-file-you-can-remove.tmp}
+}{
+ \XSIMfilewritestop
+ \ior_open:Nn \g_robExt_read_ior {\jobname-robExt-tmp-file-you-can-remove.tmp}
+ %% Put the file in \l_robExt_tmp_contain_file
+ \str_clear_new:N \l_robExt_tmp_contain_file
+ \ior_str_map_inline:Nn \g_robExt_read_ior {
+ \str_gput_right:Nx \l_robExt_tmp_contain_file {\tl_to_str:N{##1}^^J}
+ }
+ %% computes the new filename based on the md5
+ \str_clear_new:N \l_robExt_tmp_filename
+ \str_set:Nx \l_robExt_tmp_filename_no_prefix {\pdfmdfivesum{\l_robExt_tmp_contain_file}#1}
+ %% Writes the content to the file
+ \robExtCheckIfPrefixFolderExists
+ \iow_open:Nx \g_robExt_write_iow {\robExtAddCachePathAndName{\l_robExt_tmp_filename_no_prefix}}
+ \iow_now:NV \g_robExt_write_iow \l_robExt_tmp_contain_file
+ \iow_close:N \g_robExt_write_iow
+ %% sets the template name to the relative path to the file
+ \str_set:cx { l_robExt_placeholder_#2_str } {\robExtPrefixFilename\l_robExt_tmp_filename_no_prefix}
+ \robExtAddPlaceholderToList{#2}
+ %% Otherwise they will be lost when the environment ends
+ \robExtKeepaftergroup{l_robExt_placeholders_seq}
+ %% for other variable
+ \robExtKeepaftergroup{l_robExt_placeholder_#2_str}
+}
+\let\PlaceholderPathFromCode\RobExtPlaceholderPathFromCode
+\let\endPlaceholderPathFromCode\endRobExtPlaceholderPathFromCode
+
+
+
+%%% Evaluate a string by replacing the placeholders until there is none left
+%%% the result will be in \robExtResult
+\cs_set:Nn \__replace_until_impossible:N {
+ \str_set_eq:NN \l_robext_tmp_before \l_robExt_result_str
+ \seq_map_inline:Nn \l_robExt_placeholders_seq {
+ \str_replace_all:Nnv \l_robExt_result_str { ##1 } { l_robExt_placeholder_##1_str }
+ }
+ % We compare the result
+ \str_compare:eNeTF \l_robext_tmp_before = \l_robExt_result_str {
+ %\str_set_eq:cN { l_robExt_placeholder_#1_str } \l_robExt_result_str
+ %\robExtAddPlaceholderToList{#1}
+ }{
+ % The strings are different: we restart
+ \__replace_until_impossible:N { }
+ }
+}
+
+\NewDocumentCommand{\robExtGetPlaceholderInResult}{O{}m}{
+ \str_set:Nn \l_robExt_result_str { #2 }
+ \__replace_until_impossible:N { }
+ \tl_if_blank:nTF {#1} {} {
+ % To avoid infinite recursion later and allow concatenation to a placeholder that does not exists
+ % we remove the name of the placeholder at the end
+ \str_remove_all:Nn \l_robExt_result_str { #1 }
+ \str_set_eq:cN { l_robExt_placeholder_#1_str } \l_robExt_result_str
+ \robExtAddPlaceholderToList{#1}
+ }
+}
+\let\getPlaceholderInResult\robExtGetPlaceholderInResult
+
+% Otherwise we need latex3
+\def\robExtResult{\l_robExt_result_str}
+
+\NewDocumentCommand{\robExtSetPlaceholderRec}{mm}{
+ \robExtGetPlaceholderInResult[#1]{#2}
+}
+\let\setPlaceholderRec\robExtSetPlaceholderRec
+
+\NewDocumentCommand{\robExtGetPlaceholder}{O{}m}{
+ \robExtGetPlaceholderInResult[#1]{#2}
+ \l_robExt_result_str
+}
+\let\getPlaceholder\robExtGetPlaceholder
+
+%%% Evaluate a string by replacing the placeholders until there is none left
+%%% the result will be in \robExtResult
+\NewDocumentCommand{\robExtEvalPlaceholder}{m}{
+ \str_set:Nn \l_test_str {#1}
+ \robExtGetPlaceholderInResult{#1}
+ \tl_rescan:nv {} { l_robExt_result_str }
+}
+\let\evalPlaceholder\robExtEvalPlaceholder
+
+\NewDocumentCommand{\robExtEvalPlaceholderInplace}{m}{
+ \robExtGetPlaceholderInResult{#1}
+ \tl_set_rescan:Nnx \l_robExt_tmp_tl {} { \l_robExt_result_str }
+ \str_set:cx { l_robExt_placeholder_#1_str } { \l_robExt_tmp_tl }
+}
+\let\evalPlaceholderInplace\robExtEvalPlaceholderInplace
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%% Dependencies %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\NewDocumentCommand{\robExtResetDependencies}{m}{
+ \seq_clear:N \l_robExt_dependencies
+}
+
+\NewDocumentCommand{\robExtAddDependency}{m}{
+ \seq_put_left:Nx \l_robExt_dependencies {#1}
+}
+
+\NewDocumentCommand{\robExtDebugDependency}{}{
+ \show\l_robExt_dependencies
+}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%% Externalization %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% The idea is to populate a placeholder called __ROBEXT_TEMPLATE__ that will contain the file to generate
+%% together with a placeholder called __ROBEXT_COMPILATION_COMMAND__ that will contain the command to compile the file
+
+\NewDocumentCommand{\robExtSetCompilationCommand}{m}{
+ \robExtSetPlaceholder{__ROBEXT_COMPILATION_COMMAND__} {#1}
+}
+
+\NewDocumentCommand{\robExtAddArgumentToCompilationCommand}{m}{
+ \robExtSetPlaceholderRec{__ROBEXT_COMPILATION_COMMAND__} {__ROBEXT_COMPILATION_COMMAND__ ~ "#1"}
+}
+
+
+%% Alias of robExtFinalFile to \robExtSourceFile, as I don't like anymore the name I chose
+%\def\robExtSourceFile{\robExtFinalFile}
+
+%%% \l_robExt_final_file must contain before calling this function the content of the final file.
+%%% \l_robExt_dependencies must contain the extensions (list).
+%%% \l_robExt_currentCompilationCommand contains the compilation command to use.
+%%% Note that we do note parse them as input to allow more flexibility on the way the user
+%%% defines them, and to limit issues with expansion.
+\NewDocumentCommand{\robExtWriteFile}{m}{
+ %%% First we get all dependencies stored in \l_robExt_dependencies to create a csv-like file:
+ \str_clear:N \l_robExt_dependencies_mdfive
+ %% Make sure to remove these placeholders as they should not be replaced.
+ %% Not that we cannot just give them their final value here, as it cannot yet be determined without
+ %% first computing the md5 hash.
+ \robExtRemovePlaceholder{__ROBEXT_SOURCE_FILE__}
+ \robExtRemovePlaceholder{__ROBEXT_OUTPUT_PDF__}
+ \robExtRemovePlaceholder{__ROBEXT_OUTPUT_PREFIX__}
+ \setPlaceholder{__ROBEXT_WAY_BACK__}{\robExtCacheFolderWayBack}
+ \robExtEvalPlaceholderInplace{__ROBEXT_WAY_BACK__}
+ \setPlaceholder{__ROBEXT_CACHE_FOLDER__}{\robExtCacheFolder}
+ \robExtEvalPlaceholderInplace{__ROBEXT_CACHE_FOLDER__}
+ %%% We rescan the string in order to evaluate stuff like \myframes into "12,45,56".
+ \robExtGetPlaceholderInResult{__ROBEXT_COMPILATION_COMMAND__}
+ \ifdefined\robExtDoNotRescanFirstTime
+ \str_set_eq:NN \l_robExt_currentCompilationCommand \l_robExt_result_str
+ \else
+ \tl_set_rescan:Nnx \l_robExt_currentCompilationCommand {} { \l_robExt_result_str }
+ \fi%
+ %% We get the template
+ \robExtGetPlaceholderInResult{__ROBEXT_TEMPLATE__}
+ \str_set_eq:NN \l_robExt_final_file_minus_hash_str \l_robExt_result_str
+ % We first add on the first line the compilation command, and on the second line the template file.
+ \str_set:Nx \l_robExt_dependencies_mdfive {command,\l_robExt_currentCompilationCommand^^J\pdfmdfivesum{\l_robExt_final_file_minus_hash_str ^^J},^^J} %% ^^J is a newline: LaTeX will automatically add a new line when writing the file
+ \seq_map_inline:Nn \l_robExt_dependencies {
+ \str_put_right:Nx \l_robExt_dependencies_mdfive {\file_mdfive_hash:n{##1},##1^^J} %% ^^J is a newline
+ }
+ %%
+ %% Compute the final hash (the hash of all dependencies, including the current picture that is on the first line):
+ %% The last newline is needed as the write operation automatically adds a newline.
+ \tl_set:Nx \robExtFinalHash {\pdfmdfivesum{\l_robExt_dependencies_mdfive^^J}}
+ %% We add the figure in the list of files.
+ \iow_now:Nx \g_robExt_write_list_all_figures {\robExtAddPrefixName{\robExtFinalHash.tex}^^J}
+ %% We can now set the placeholders, and recompute the final value of the file:
+ \robExtPlaceholderFromContent{__ROBEXT_SOURCE_FILE__}{\robExtAddPrefixName{\robExtFinalHash.tex}}
+ \robExtEvalPlaceholderInplace{__ROBEXT_SOURCE_FILE__}
+ \robExtPlaceholderFromContent{__ROBEXT_OUTPUT_PDF__}{\robExtAddPrefixName{\robExtFinalHash.pdf}}
+ \robExtEvalPlaceholderInplace{__ROBEXT_OUTPUT_PDF__}
+ \robExtPlaceholderFromContent{__ROBEXT_OUTPUT_PREFIX__}{\robExtAddPrefixName{\robExtFinalHash}}
+ \robExtEvalPlaceholderInplace{__ROBEXT_OUTPUT_PREFIX__}
+ \robExtGetPlaceholderInResult{__ROBEXT_TEMPLATE__}
+ \str_set_eq:NN \l_robExt_final_file_str \l_robExt_result_str
+ \file_if_exist:xTF{\robExtAddCachePathAndName{\robExtFinalHash.tex}}{
+ \message{The\space file\space \robExtAddCachePathAndName{\robExtFinalHash.tex} \space already\space exists.^^J}
+ }{
+ \str_if_empty:NTF \l_robExt_final_file_str {
+ \PackageError{robExt}{You ~ are ~ writing ~ an ~ empty ~ tex ~ file, ~ that ~ will ~ fail ~ to ~ compile. ~ Make ~ sure ~ you ~ defined ~ a ~ template.}{}
+ }{
+ % Check if the output directory exists
+ \robExtCheckIfPrefixFolderExists
+ \iow_open:Nx \g_robExt_write_iow {\robExtAddCachePathAndName{\robExtFinalHash.deps}}
+ \iow_now:NV \g_robExt_write_iow \l_robExt_dependencies_mdfive
+ \iow_close:N \g_robExt_write_iow
+ %% Save the final file:
+ \iow_open:Nx \g_robExt_write_iow {\robExtAddCachePathAndName{\robExtFinalHash.tex}}
+ \iow_now:NV \g_robExt_write_iow \l_robExt_final_file_str
+ \iow_close:N \g_robExt_write_iow
+ \message{Source ~ saved ~ in ~ \robExtAddCachePathAndName{\robExtFinalHash.tex}.}
+ }
+ }
+}
+
+% https://tex.stackexchange.com/questions/133324/shell-escape-with-latex-3
+% We need shell escape to work (but it's enabled by default on overleaf!)
+% Think about the number of compilations.
+\NewDocumentCommand{\robExtCompileFile}{m}{
+ \file_if_exist:xTF{\robExtAddCachePathAndName{\robExtFinalHash.pdf}}{
+ \message{No ~ need ~ to ~ recompile ~ \robExtAddCachePathAndName{\robExtFinalHash.pdf}^^J}
+ }{
+ \robExtGetPlaceholderInResult{__ROBEXT_COMPILATION_COMMAND__}
+ \ifdefined\robExtDoNotRescanSecondTime
+ \str_set_eq:NN \l_robExt_finalCompilationCommand \l_robExt_result_str
+ \else
+ \tl_set_rescan:Nnx \l_robExt_finalCompilationCommand {} { \l_robExt_result_str }
+ \fi%
+ % Make sure this command is run from the cache folder
+ \ifdefined\robExtCacheFolder
+ \str_put_left:Nx \l_robExt_finalCompilationCommand {cd ~ \robExtCacheFolder \space && ~ }
+ \fi
+ \ifdefined\robExtManualMode
+ \message{[robExt] Manual mode enabled: please, manually compile the images using \l_robExt_finalCompilationCommand or run 'bash \jobname-\robExtAddPrefixName{compile-missing-figures.sh}'.}
+ \iow_now:Nx \g_robExt_write_manually_compile_all_missing_figures {\l_robExt_finalCompilationCommand^^J}
+ \else
+ \sys_if_shell_unrestricted:TF{
+ \message{[robExt] We ~ will ~ start ~ the ~ compilation using: ~ \l_robExt_finalCompilationCommand.}
+ \sys_shell_now:x {\l_robExt_finalCompilationCommand} % The ~ are used in ExplSyntaxOn to add space
+ }{
+ \PackageError{robExt}{You ~ need ~ to ~ compile ~ with ~ shell-escape ~ as ~ in: ~ "pdflatex ~ -shell-escape ~ yourfile.tex" ~ to ~ be ~ able ~ to ~ compile ~ automatically ~ the ~ figures}{}
+ }
+ \fi
+ }
+}
+
+\def\robExtIncludeGraphicsArgs{}
+%%% This command is not meant to be called by the end user. It will be called after the compilation to include
+%%% the compiled file back into the original file.
+\NewDocumentCommand{\robExtIncludeFile}{m}{%
+ \ifdefined\robExtIncludeCommandAdvanced%
+ \robExtIncludeCommandAdvanced%
+ \else%
+ {%
+ \file_if_exist:xTF{\robExtAddCachePathAndName{\robExtFinalHash.pdf}}{%
+ \file_if_exist:xTF{\robExtAddCachePathAndName{\robExtFinalHash-out.tex}}{%
+ \kern0pt%Without the kern, the next unskip would eat spaces before... and we don't want that. See also
+ % https://tex.stackexchange.com/questions/104034/when-is-it-good-practice-to-use-unskip
+ \input{\robExtAddCachePathAndName{\robExtFinalHash-out.tex}}\unskip% Otherwise if the file contains space it will be added here.
+ }{}%
+ \ifdefined\robExtIncludeCommand%
+ \robExtIncludeCommand%
+ \else%
+ \evalPlaceholder{%
+ \ifdefined\robExtDepth%
+ \raisebox{-\robExtDepth}{%
+ \includegraphics[__ROBEXT_INCLUDEGRAPHICS_OPTIONS__]{%
+ __ROBEXT_INCLUDEGRAPHICS_FILE__%
+ }}%
+ \else%
+ \includegraphics[__ROBEXT_INCLUDEGRAPHICS_OPTIONS__]{%
+ \robExtAddCachePathAndName{\robExtFinalHash.pdf}}%
+ }%
+ \fi%
+ \fi%
+ }{
+ \ifdefined\robExtManualMode
+ \framebox[\linewidth]
+ {
+ \begin{minipage}{\linewidth}
+ \textbf{Draft ~ Mode: ~ you ~ are ~ in ~ manual ~ mode: ~ please ~ compile ~ \robExtAddCachePathAndName{\robExtFinalHash.tex} ~ via ~ ``\l_robExt_finalCompilationCommand'' ~ or ~ call ~ ``bash ~ \jobname-\robExtAddPrefixName{compile-missing-figures.sh'' ~ to ~ compile ~ all ~ missing ~ figures.}}
+ \end{minipage}
+ }
+ %\fbox{\textbf{Draft ~ Mode: ~ you ~ are ~ in ~ manual ~ mode:}\par\textbf{ ~ please ~ compile ~ \robExtAddCachePathAndName{\robExtFinalHash.tex} ~ or ~ use ~ \ifdefined\robExtCacheFolder cd \robExtCacheFolder; \fi bash ~ \jobname-\robExtAddPrefixName{compile-missing-figures.sh}}}
+ \message{[robExt] ~ You ~ are ~ in ~ manual ~ mode: ~ please ~ compile ~ yourself ~ \robExtAddCachePathAndName{\robExtFinalHash.tex} ~ or ~ use ~ the ~ bash ~ \jobname-\robExtAddPrefixName{compile-missing-figures.sh}}
+ \else
+ \PackageError{robExt}{For ~ an ~ unknown ~ reason ~ the ~ pdf ~ file ~ \robExtAddCachePathAndName{\robExtFinalHash.pdf} ~ is ~ not ~ present. ~ The ~ compilation ~ command ~ certainly ~ failed, ~ see ~ logs ~ above.}{}
+ \fi
+ }
+ }%
+ \fi%
+}
+
+
+\ExplSyntaxOff
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% Interface
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% We create interface into pgfkeys in order to allow easier creation of content via style
+\pgfkeys{
+ /robExt/.cd,
+ % We create a default style that will be loaded (mostly for the user)
+ default style/.style={},
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Interface to change placeholders %%%
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ set placeholder/.code 2 args={\robExtSetPlaceholder{#1}{#2}},
+ set main content/.style={
+ set placeholder={__ROBEXT_MAIN_CONTENT__}{#1}
+ },
+ copy placeholder/.code 2 args={\robExtCopyPlaceholder{#1}{#2}},
+ set placeholder rec/.code 2 args={\robExtSetPlaceholderRec{#1}{#2}},
+ set placeholder eval/.code 2 args={\robExtSetPlaceholderRec{#1}{#2}\robExtEvalPlaceholderInplace{#1}},
+ set placeholder from content/.code 2 args={\robExtPlaceholderFromContent{#1}{#2}},
+ add to placeholder/.code 2 args={\robExtAddToPlaceholder{#1}{#2}},
+ add to placeholder no space/.code 2 args={\robExtAddToPlaceholder*{#1}{#2}},
+ add before placeholder/.code 2 args={\robExtAddBeforePlaceholder{#1}{#2}},
+ add before placeholder no space/.code 2 args={\robExtAddBeforePlaceholder*{#1}{#2}},
+ set placeholder path from filename/.code 2 args={\robExtPlaceholderPathFromFilename{#1}{#2}},
+ set placeholder from file content/.code 2 args={\robExtPlaceholderFromFileContent{#1}{#2}},
+ set placeholder path from content/.code n args={3}{\robExtPlaceholderPathFromContent{#1}[#3]{#2}},
+ eval placeholder in place/.code={\robExtEvalPlaceholderInplace{#1}},
+ % Interface to set template
+ set template/.style={
+ set placeholder={__ROBEXT_TEMPLATE__}{#1},
+ },
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Configure dependencies %%%
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Auxiliary command:
+ dependenciesList/.code={\robExtAddDependency{#1}},
+ % Usage like: dependencies={input_externalize.tex,input_b.tex}
+ % They should be relative to the main file when using the subfolder option.
+ dependencies/.style={
+ /utils/exec={\robExtResetDependencies{}},
+ dependenciesList/.list={#1}
+ },
+ add dependencies/.style={
+ dependenciesList/.list={#1}
+ },
+ reset dependencies/.code={\robExtResetDependencies{}},
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Compilation command %%%
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%
+ set compilation command/.code={\robExtSetCompilationCommand{#1}},
+ add argument to compilation command/.code={\robExtAddArgumentToCompilationCommand{#1}},
+ add arguments to compilation command/.style={
+ add argument to compilation command/.list={#1}
+ },
+ % This adds arguments like add key value to compilation command={mykey=myvalue} will add to the
+ % compilation command two arguments: "mykey" "myvalue"
+ % This is useful for scripts that are called like myscript key1 arg1 key2 arg2 key3 arg3, which is a
+ % simple way to pass multiple arguments to a script like a python script
+ add key value argument to compilation command/.code args={#1=#2}{\robExtAddArgumentToCompilationCommand{#1}\robExtAddArgumentToCompilationCommand{#2}},
+ add key and file argument to compilation command aux/.style args={#1=#2}{
+ add key value argument to compilation command={{#1}={\ifdefined\robExtCacheFolderWayBack\robExtCacheFolderWayBack\fi#2}},
+ },
+ add key and file argument to compilation command/.style={
+ add key and file argument to compilation command aux/.list={#1},
+ add dependencies={#1},
+ },
+ %%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Inclusion command %%%
+ %%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Configure the command to include the compiled file back into the main file
+ % By default, include command does a bit of logic before running the actual command, notably to
+ % input the -out.tex file in order to pass information from the compiled file to the current file.
+ % If you want to do everything by yourself, use:
+ custom include command advanced/.code={\def\robExtIncludeCommandAdvanced{#1}},
+ % The default include command includes the pdf, making sure it is raised depending on its depth,
+ % but you can override it:
+ custom include command/.code={\def\robExtIncludeCommand{#1}},
+ %% Use this when we do not want to include anything (e.g. the video will be processed later in the chain):
+ do not include pdf/.style={
+ custom include command={}%
+ },
+ %% If you do or do not want to ask latex to run the compilation commands itself (for instance for security
+ %% reasons, you can use these commands and run the command manually later):
+ enable manual mode/.code={\def\robExtManualMode{}},
+ disable manual mode/.code={\let\robExtManualMode\undefined},
+ %% Arguments to include graphics
+ include graphics args/.code={\def\robExtIncludeGraphicsArgs{#1}},
+ %% The role of this command is to set \l_robExt_result_str, that will contain the final string.
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Configuration of the cache %%%
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %% Configure the prefix (default to "robExt-")
+ set filename prefix/.code={\def\robExtPrefixFilename{#1}},
+ % first argument is subfolder, second is how to get from subfolder to the folder containing the source:
+ % set subfolder and way back={robustExternal/}{../}
+ set subfolder and way back/.code 2 args={\def\robExtCacheFolder{#1}\def\robExtCacheFolderWayBack{#2}},
+ % By default we put everything in robustExternalize
+ % Change this before starting to cache any library, and if you change it mid-document, be aware
+ % that you will not be able to refer to elements in the old folder.
+ set subfolder and way back={robustExternalize/}{../},
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Disable externalization %%%
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %% Note: this does not work reliably for now
+ %% TODO: fix this!
+ disable externalization/.code={\def\robExtDisableExternalization{}},
+ enable externalization/.code={\let\robExtDisableExternalization\undefined},
+ % Useful to wrap, for instance, text
+ command if no externalization/.code={\robExtDisableTikzpictureOverwrite\evalPlaceholder{__ROBEXT_MAIN_CONTENT__}},
+ print verbatim if no externalization/.style={
+ command if no externalization/.code={%
+ \robExtPrintPlaceholder{__ROBEXT_MAIN_CONTENT__}%
+ },
+ },
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Run code before/after inclusion %%%
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% todo: make sure that commands can be added instead of replaced
+ execute before each externalization/.code={\def\robExtExecuteBefore{#1}},
+ execute after each externalization/.code={\def\robExtExecuteAfter{#1}},
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Get the name of the produced file for later use %%%
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %%% Here, we provide a way to put the prefixed name into a new global macro
+ %%% Use like 'name output=VideoA'. This creates a few macros like:
+ %%% \blenderpointNamedOutputFilenameVideoA containing thehashthatisusedforthename
+ %%% \blenderpointNamedOutputPrVideoA containing thehashthatisusedforthename
+ %% See \robExtGetNamedOutputFilename to get them with \robExtGetNamedOutputFullPath
+ % name output/.style={name output with ext={#1}{.pdf}},
+ % name input/.style={name output with ext={#1}{.tex}},
+ % % like name output but adds the extension like name output with ext={VideoA}{.mp4}
+ % name output with ext/.code 2 args={%
+ % \robExtSetPlaceholder{__#1__}{\robExtPrefixFilename\robExtFinalHash#2}
+ % \robExtEvalPlaceholderInplace{__#1__}
+ % \robExtSetPlaceholder{__#1_FULL_PATH__}{\robExtAddCachePathAndName{\robExtFinalHash#2}}
+ % \robExtEvalPlaceholderInplace{__#1_FULL PATH__}
+ % },
+ name output/.code={%
+ \def\robExtExecuteNamedOutput{%
+ \expandafter\xdef\csname #1\endcsname{\robExtPrefixFilename\robExtFinalHash}%
+ \expandafter\xdef\csname #1InCache\endcsname{\robExtAddCachePathAndName{\robExtFinalHash}}%
+ }%
+ },
+ %% Todo: for this to work, be will need to make the definition either global (not trivial, need to define
+ %% a new list of global placeholders), or at least go past the groups
+}
+
+% Not really made for the end user
+% It assumes that __ROBEXT_COMPILATION_COMMAND__ and __ROBEXT_TEMPLATE__ is set
+\NewDocumentCommand{\robExtEvaluateCompileAndInclude}{}{%
+ \ifdefined\robExtDisableExternalization%
+ \pgfkeys{/robExt/.cd,command if no externalization}%
+ \else%
+ \ifdefined\robExtExecuteBefore\robExtExecuteBefore\fi%
+ \robExtWriteFile{}%
+ \robExtCompileFile{}%
+ \robExtIncludeFile{}%
+ \ifdefined\robExtExecuteNamedOutput\robExtExecuteNamedOutput\fi%
+ \ifdefined\robExtExecuteAfter\robExtExecuteAfter\fi%
+ \fi%
+}
+
+%% #1: Arguments, #2: content to externalize
+\NewDocumentCommand{\robExtCacheMe}{O{}m}{%
+ {% Group
+ \pgfkeys{%
+ /robExt/.cd,
+ set placeholder={__ROBEXT_MAIN_CONTENT__}{#2},
+ default style,
+ #1,
+ }%
+ \robExtEvaluateCompileAndInclude%
+ }%
+}
+\let\cacheMe\robExtCacheMe
+
+%% #1: Arguments, #2: content to externalize
+% \NewDocumentEnvironment{robExtern}{O{}+b}{%
+% \robExt[#1]{#2}%
+% }{}
+
+\NewDocumentEnvironment{RobExtCacheMe}{m+b}{%
+ \robExtCacheMe[#1]{#2}%
+}{}
+\let\CacheMe\RobExtCacheMe
+\let\endCacheMe\endRobExtCacheMe
+
+\NewDocumentEnvironment{RobExtCacheMeCode}{m}{%
+ \RobExtPlaceholderFromCode{__ROBEXT_MAIN_CONTENT__}%
+}{%
+ \endRobExtPlaceholderFromCode%
+ \pgfkeys{%
+ /robExt/.cd,
+ #1,
+ }%
+ \robExtEvaluateCompileAndInclude%
+}
+\let\CacheMeCode\RobExtCacheMeCode
+\let\endCacheMeCode\endRobExtCacheMeCode
+
+\NewDocumentEnvironment{RobExtCacheMeNoContent}{+b}{%
+ \robExtCacheMe[#1]{}%
+}{}
+\let\CacheMeNoContent\RobExtCacheMeNoContent
+\let\endCacheMeNoContent\endRobExtCacheMeNoContent
+
+\NewDocumentCommand{\robExtConfigure}{m}{%
+ \pgfkeys{
+ /robExt/.cd,#1%Do not add a space before the #1!
+ }%
+}
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%% Default presets %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% We create here a few presets and placeholders useful later
+
+%%%% Available in all styles
+\robExtConfigure{
+ set includegraphics options/.style={
+ set placeholder={__ROBEXT_INCLUDEGRAPHICS_OPTIONS__}{#1},
+ },
+ add to includegraphics options/.style={
+ add to placeholder no space={__ROBEXT_INCLUDEGRAPHICS_OPTIONS__}{,#1},
+ },
+ set placeholder={__ROBEXT_VERBATIM_COMMAND__}{\verbatiminput},
+ % We expect the program to write in __ROBEXT_OUTPUT_PREFIX__-out.txt
+ verbatim output/.style={
+ custom include command={%
+ \evalPlaceholder{%
+ __ROBEXT_VERBATIM_COMMAND__{__ROBEXT_CACHE_FOLDER____ROBEXT_OUTPUT_PREFIX__-out.txt}%
+ }%
+ },
+ }
+}
+
+%%%% For LaTeX codes
+
+\setPlaceholder{__ROBEXT_LATEX_OPTIONS__}{}
+\setPlaceholder{__ROBEXT_DOCUMENT_CLASS__}{standalone}
+\setPlaceholder{__ROBEXT_PREAMBLE__}{}
+\setPlaceholder{__ROBEXT_INCLUDEGRAPHICS_OPTIONS__}{}
+\setPlaceholder{__ROBEXT_INCLUDEGRAPHICS_FILE__}{\robExtAddCachePathAndName{\robExtFinalHash.pdf}}
+\setPlaceholder{__ROBEXT_LATEX_TRIM_LENGTH__}{30cm}
+
+\begin{PlaceholderFromCode}{__ROBEXT_LATEX__}
+\documentclass[__ROBEXT_LATEX_OPTIONS__]{__ROBEXT_DOCUMENT_CLASS__}
+__ROBEXT_PREAMBLE__
+\begin{document}%
+__ROBEXT_MAIN_CONTENT_WRAPPED__
+\end{document}
+\end{PlaceholderFromCode}
+
+\begin{PlaceholderFromCode}{__ROBEXT_MAIN_CONTENT_WRAPPED__}
+__ROBEXT_CREATE_OUT_FILE__%
+\newsavebox\boxRobExt%
+\savebox{\boxRobExt}{%
+ __ROBEXT_MAIN_CONTENT__%
+}%
+\usebox{\boxRobExt}%
+__ROBEXT_WRITE_DEPTH_TO_OUT_FILE__%
+\end{PlaceholderFromCode}
+
+\begin{PlaceholderFromCode}{__ROBEXT_CREATE_OUT_FILE__}
+%% We save the height/depth of the content by using a savebox:
+\newwrite\writeRobExt%
+\immediate\openout\writeRobExt=\jobname-out.tex%
+\end{PlaceholderFromCode}
+
+\begin{PlaceholderFromCode}{__ROBEXT_WRITE_DEPTH_TO_OUT_FILE__}
+\immediate\write\writeRobExt{%
+ \string\def\string\robExtWidth{\the\wd\boxRobExt}%
+ \string\def\string\robExtHeight{\the\ht\boxRobExt}%
+ \string\def\string\robExtDepth{\the\dp\boxRobExt}%
+}%
+\end{PlaceholderFromCode}
+
+%% Compilation commands
+\setPlaceholder{__ROBEXT_COMPILATION_COMMAND_LATEX__}{__ROBEXT_LATEX_ENGINE__ __ROBEXT_COMPILATION_COMMAND_OPTIONS__ "__ROBEXT_SOURCE_FILE__"}
+\setPlaceholder{__ROBEXT_COMPILATION_COMMAND_OPTIONS__}{-shell-escape -halt-on-error}
+\setPlaceholder{__ROBEXT_LATEX_ENGINE__}{pdflatex}
+
+\robExtConfigure{
+ % some useful presets
+ latex/.style={
+ set template={__ROBEXT_LATEX__},
+ set compilation command={__ROBEXT_COMPILATION_COMMAND_LATEX__},
+ %% Configure the latex compilation engine
+ use latexmk/.style={
+ set placeholder={__ROBEXT_LATEX_ENGINE__}{latexmk},
+ },
+ use lualatex/.style={
+ set placeholder={__ROBEXT_LATEX_ENGINE__}{lualatex},
+ },
+ use xelatex/.style={
+ set placeholder={__ROBEXT_LATEX_ENGINE__}{xelatex},
+ },
+ set latex options/.style={
+ set placeholder={__ROBEXT_LATEX_OPTIONS__}{##1},
+ },
+ add to latex options/.style={
+ add to placeholder no space={__ROBEXT_LATEX_OPTIONS__}{,##1},
+ },
+ set documentclass/.style={
+ set placeholder={__ROBEXT_DOCUMENT_CLASS__}{##1},
+ },
+ set preamble/.style={
+ set placeholder={__ROBEXT_PREAMBLE__}{##1},
+ },
+ add to preamble/.style={
+ add to placeholder={__ROBEXT_PREAMBLE__}{##1},
+ },
+ do not wrap code/.style={
+ set placeholder={__ROBEXT_MAIN_CONTENT_WRAPPED__}{__ROBEXT_MAIN_CONTENT__},
+ },
+ add to includegraphics options={trim=__ROBEXT_LATEX_TRIM_LENGTH__ __ROBEXT_LATEX_TRIM_LENGTH__ __ROBEXT_LATEX_TRIM_LENGTH__ __ROBEXT_LATEX_TRIM_LENGTH__},
+ add to latex options={margin=__ROBEXT_LATEX_TRIM_LENGTH__},
+ do not add margins/.style={
+ set placeholder={__ROBEXT_LATEX_TRIM_LENGTH__}{0cm}
+ },
+ },
+ tikz/.style={
+ latex,
+ add to preamble={\usepackage{tikz}},
+ add before placeholder no space={__ROBEXT_MAIN_CONTENT__}{\begin{tikzpicture}},
+ add to placeholder no space={__ROBEXT_MAIN_CONTENT__}{\end{tikzpicture}},
+ },
+}
+
+% %%%%%%% Integration with python
+
+
+\begin{PlaceholderFromCode}{__ROBEXT_PYTHON__}
+__ROBEXT_PYTHON_IMPORT__
+__ROBEXT_PYTHON_MAIN_CONTENT_WRAPPED__
+\end{PlaceholderFromCode}
+
+\setPlaceholder{__ROBEXT_PYTHON_IMPORT__}{}
+
+\begin{PlaceholderFromCode}{__ROBEXT_PYTHON_MAIN_CONTENT_WRAPPED__}
+# This file will be loaded in latex. Useful to pass data to the main document
+f_out_write = open("__ROBEXT_OUTPUT_PREFIX__-out.tex", "w")
+
+import os
+import sys
+
+def write_to_out(text):
+ """Write to the -out.tex file that is loaded by default"""
+ f_out_write.write(text)
+
+def parse_args():
+ args = {}
+ if len(sys.argv) % 2 == 0:
+ print("Error: the number of arguments must be even, as tuples of name and value")
+ exit(1)
+ for i in range(0,len(sys.argv)-1,2):
+ args[sys.argv[i+1]] = sys.argv[i+2]
+ return args
+
+def get_cache_folder():
+ '''
+ Path of the cache folder. Warning: this works only when the python script
+ is located in this cache folder (that should be true when it's called from LaTeX)
+ '''
+ return os.path.abspath(os.path.dirname(sys.argv[0]))
+
+def get_file_base():
+ '''
+ Outputs the base of the files (i.e. something like robExt-somehash, without any extension)
+ '''
+ return os.path.splitext(os.path.basename(sys.argv[0]))[0] # __file__ does not work as it refers to the library
+
+def get_current_script():
+ '''
+ Outputs the path of the current script
+ '''
+ return os.path.abspath(sys.argv[0]) # __file__ does not work as it refers to the library
+
+
+def get_filename_from_extension(extension):
+ '''
+ If you want to create a file with extension 'extension' (with the appropriate base name), this command
+ is for you. For instance get_filename_from_extension(".mp4") would return something like
+ robExt-somehash.mp4
+ the extension can also be like get_filename_from_extension("-out.tex") etc.
+ '''
+ return os.path.join(get_cache_folder(), get_file_base() + extension)
+
+def get_verbatim_output():
+ '''Returns the path to -out.txt that is read by verbatim output'''
+ return get_filename_from_extension("-out.txt")
+
+def get_pdf_output():
+ '''Returns the path to -out.txt that is read by verbatim output'''
+ return get_filename_from_extension(".pdf")
+
+
+def finished_with_no_error():
+ '''
+ Call this at the end of your script. This creates the path of the final pdf file that should be
+ created (otherwise robust-externalize will think that the compilation failed)
+ '''
+ if not os.path.exists(get_filename_from_extension(".pdf")):
+ # we create an empty path
+ with open(get_filename_from_extension(".pdf"), 'w') as f:
+ pass
+
+### Starting main content
+__ROBEXT_MAIN_CONTENT__
+### Ending main content
+__ROBEXT_PYTHON_FINISHED_WITH_NO_ERROR__
+f_out_write.close()
+\end{PlaceholderFromCode}
+
+% It is annoying to manually call finished_with_no_error(), but it is handy to be able to disable it.
+\begin{PlaceholderFromCode}{__ROBEXT_PYTHON_FINISHED_WITH_NO_ERROR__}
+finished_with_no_error()
+\end{PlaceholderFromCode}
+
+%% On windows, python3 does not exist, and python points to python3. On linux, it seems to depend, at least on
+%% my system it points to python3 as well.
+\setPlaceholder{__ROBEXT_PYTHON_EXEC__}{python}
+
+\robExtConfigure{
+ python/.style={
+ set compilation command={__ROBEXT_PYTHON_EXEC__ "__ROBEXT_SOURCE_FILE__"},
+ set template={__ROBEXT_PYTHON__},
+ print verbatim if no externalization,
+ force python3/.style={
+ set placeholder={__ROBEXT_PYTHON_EXEC__}{python3}
+ },
+ }
+}
+
+%% A style to print both the code and the result:
+\begin{PlaceholderFromCode}{__ROBEXT_PYTHON_PRINT_CODE_RESULT_TEMPLATE_BEFORE__}
+# File where print("bla") should be redirected
+# get_filename_from_extension("-foo.txt") will give you the path of the file
+# in the cache that looks like robExt-somehash-foo.txt
+print_file = open(get_filename_from_extension("-print.txt"), "w")
+sys.stdout = print_file
+# This code will read the current code, and extract the lines between
+# that starts with "### CODESTARTSHERE" and "### CODESTOPSHERE", and will write
+# it into the *-code.text (we do not want to print all these functions in
+# the final code)
+with open(get_filename_from_extension("-code.txt"), "w") as f:
+ # The current script has extension .tex
+ with open(get_current_script(), "r") as script:
+ should_write = False
+ for line in script:
+ if line.startswith("### CODESTARTSHERE"):
+ should_write = True
+ elif line.startswith("### CODESTOPSHERE"):
+ should_write = False
+ elif "HIDEME" in line:
+ pass
+ else:
+ if should_write:
+ f.write(line)
+### CODESTARTSHERE
+\end{PlaceholderFromCode}
+
+
+\begin{PlaceholderFromCode}{__ROBEXT_PYTHON_PRINT_CODE_RESULT_TEMPLATE_AFTER__}
+### CODESTOPSHERE
+print_file.close()
+\end{PlaceholderFromCode}
+\setPlaceholder{__ROBEXT_PYTHON_TCOLORBOX_PROPS__}{colback=red!5!white,colframe=red!75!black}
+\setPlaceholder{__ROBEXT_PYTHON_CODE_MESSAGE__}{}
+\setPlaceholder{__ROBEXT_PYTHON_RESULT_MESSAGE__}{Output:}
+\setPlaceholder{__ROBEXT_PYTHON_LSTINPUT_STYLE__}{frame=single, breakindent=.5\textwidth, frame=single, breaklines=true, style=mypython}
+\robExtConfigure{
+ python print code and result/.style={
+ python,
+ add before placeholder no space={__ROBEXT_MAIN_CONTENT__}{__ROBEXT_PYTHON_PRINT_CODE_RESULT_TEMPLATE_BEFORE__},
+ add to placeholder no space={__ROBEXT_MAIN_CONTENT__}{__ROBEXT_PYTHON_PRINT_CODE_RESULT_TEMPLATE_AFTER__},
+ set title/.style={
+ set placeholder={__MY_TITLE__}{##1},
+ },
+ set title={Python code},
+ custom include command={
+ % Useful to replace __MY_TITLE__:
+ \evalPlaceholder{
+ \begin{tcolorbox}[title=__MY_TITLE__,__ROBEXT_PYTHON_TCOLORBOX_PROPS__]
+ __ROBEXT_PYTHON_CODE_MESSAGE__%
+ \lstinputlisting[__ROBEXT_PYTHON_LSTINPUT_STYLE__]{\robExtAddCachePathAndName{\robExtFinalHash-code.txt}}
+ __ROBEXT_PYTHON_RESULT_MESSAGE__%
+ \verbatiminput{\robExtAddCachePathAndName{\robExtFinalHash-print.txt}}
+ \end{tcolorbox}
+ }
+ },
+ },
+}
+
+
+%%%% Verbatim text
+
+\robExtConfigure{
+ verbatim text/.style={
+ set template={__ROBEXT_MAIN_CONTENT__},
+ custom include command={\evalPlaceholder{\verbatiminput{\robExtAddCachePathAndName{\robExtFinalHash.tex}}}},
+ %% Apparently this works on windows as well https://stackoverflow.com/questions/1702762/how-can-i-create-an-empty-file-at-the-command-line-in-windows
+ set compilation command={echo "" > __ROBEXT_OUTPUT_PDF__},
+ },
+ verbatim text no include/.style={
+ verbatim text,
+ custom include command={\evalPlaceholder{%
+ \xdef\robExtPathToInput{\robExtAddCachePathAndName{\robExtFinalHash.tex}}%
+ }%
+ }%
+ },
+}
+
+%%%%% Bash
+
+\begin{PlaceholderFromCode}{__ROBEXT_BASH_TEMPLATE__}
+# Quit if there is an error
+set -e
+outputTxt="__ROBEXT_OUTPUT_PREFIX__-out.txt"
+outputTex="__ROBEXT_OUTPUT_PREFIX__-out.tex"
+outputPdf="__ROBEXT_OUTPUT_PDF__"
+__ROBEXT_MAIN_CONTENT__
+# Create the pdf file to certify that no compilation error occured
+touch "${outputPdf}"
+\end{PlaceholderFromCode}
+
+\setPlaceholder{__ROBEXT_BASH_SHELL__}{bash}
+
+\robExtConfigure{
+ bash/.style={
+ set compilation command={__ROBEXT_BASH_SHELL__ "__ROBEXT_SOURCE_FILE__"},
+ set template={__ROBEXT_BASH_TEMPLATE__},
+ print verbatim if no externalization,
+ }
+}
+
+
+%%%%% Replace tikzpicture:
+
+\NewDocumentCommand{\robExtExternalizeAllTikzpictures}{}{%
+ %% We need to save the tikzpicture environment to avoid infinite recursion if we disable externalization
+ \let\robExtTikzPictureOrig\tikzpicture%
+ \let\endrobExtTikzPictureOrig\endtikzpicture%
+ \DeclareDocumentEnvironment{tikzpicture}{O{}O{}b}{%
+ \begin{CacheMe}{tikz,##2}[##1]%
+ ##3%
+ \end{CacheMe}%
+ }{}%
+}
+
+% To avoid infinite recursion when using \robExtExternalizeAllTikzpictures, we need to redefine tikzpicture
+\NewDocumentCommand{\robExtDisableTikzpictureOverwrite}{}{%
+ \ifdefined\robExtTikzPictureOrig%
+ \let\tikzpicture\robExtTikzPictureOrig%
+ \let\endtikzpicture\endrobExtTikzPictureOrig%
+ \fi%
+}
+
+%% The cached version
+\DeclareDocumentEnvironment{tikzpictureC}{O{}O{}b}{%
+ \begin{CacheMe}{tikz,#2}[#1]%
+ #3%
+ \end{CacheMe}%
+}{}%
+
diff --git a/macros/latex/contrib/robust-externalize/robust-externalize.tex b/macros/latex/contrib/robust-externalize/robust-externalize.tex
new file mode 100644
index 0000000000..561cde37a5
--- /dev/null
+++ b/macros/latex/contrib/robust-externalize/robust-externalize.tex
@@ -0,0 +1,2113 @@
+\documentclass[a4paper,doc2]{ltxdoc} % doc2 is needed to force the old version, or links get colored in a weird red way even with hidelinks. https://github.com/latex3/latex2e/issues/822
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% Packages
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Warning: if you compile and get:
+%% ERROR: Argument of \tikz@lib@matrix@with@options has an extra }.
+%% make sure to fix catcodes around it as | is given a different meaning in ltxdoc.
+
+\usepackage{amsmath}
+\usepackage[margin=3cm]{geometry}
+\usepackage{calc}
+\usepackage{tikz}
+\usetikzlibrary{shadows,fit}
+% \usetikzlibrary fails because file is not in current directory, lazy to setup TEXINPUTS
+\makeatletter
+ \usepackage{robust-externalize}
+\makeatother
+
+% Loads the great package that produces tikz-like manual (see also tikzcd for examples)
+\input{pgfmanual-en-macros.tex} % Is supposed to be included in recent TeX distributions, but I get errors...
+
+%% For verbatim environments:
+
+\NewDocumentEnvironment{codeAndResult}{}{\XSIMfilewritestart{\jobname-codeAndResult-tmp-file-you-can-remove.tmp}}%
+{%
+ \XSIMfilewritestop%
+ \par
+ \medskip
+ \noindent\colorbox{graphicbackground}{\noindent\begin{minipage}{1.0\linewidth}
+ {\input{\jobname-codeAndResult-tmp-file-you-can-remove.tmp}}
+ \end{minipage}}
+ % I don't know why, but sometimes this prints nothing, while input works:
+ %{\codeexample[width=0pt, leave comments, vbox, from file={\jobname-codeAndResult-tmp-file-you-can-remove.tmp}]}%
+ {\codeexample[code only, from file={\jobname-codeAndResult-tmp-file-you-can-remove.tmp}]}%
+}
+
+\usepackage{makeidx} % Produces an index of commands.
+\makeindex % Useful or not index will be created
+\usepackage{alertmessage} % For warning, info...
+\newcommand{\mylink}[2]{\href{#1}{#2}\footnote{\url{#1}}}
+\usepackage{verbatim}
+\usepackage{mathtools}
+\usepackage{float} %figure inside minipage
+\usepackage{pythonhighlight}
+\usepackage{tcolorbox}
+
+\usepackage{listings}
+\definecolor{codegreen}{rgb}{0,0.6,0}
+\definecolor{codegray}{rgb}{0.5,0.5,0.5}
+\definecolor{codepurple}{rgb}{0.58,0,0.82}
+\definecolor{backcolour}{rgb}{0.95,0.95,0.92}
+
+\lstdefinestyle{mystyle}{
+ backgroundcolor=\color{backcolour},
+ commentstyle=\color{codegreen},
+ keywordstyle=\color{magenta},
+ numberstyle=\tiny\color{codegray},
+ stringstyle=\color{codepurple},
+ basicstyle=\ttfamily\footnotesize,
+ breakatwhitespace=false,
+ breaklines=true,
+ captionpos=b,
+ keepspaces=true,
+ numbers=left,
+ numbersep=5pt,
+ showspaces=false,
+ showstringspaces=false,
+ showtabs=false,
+ tabsize=2
+}
+
+\lstset{style=mystyle}
+
+
+\usepackage[hidelinks]{hyperref}
+\usepackage{cleveref}
+
+\begin{document}
+%%% Title: thanks tikzcd for the styling
+\begin{center}
+ \vspace*{1em} % Thanks tikzcd
+ \tikz\node[scale=1.2]{%
+ \color{gray}\Huge\ttfamily \char`\{\raisebox{.09em}{\textcolor{red!75!black}{robust\raisebox{-0.1em}{-}externalize}}\char`\}};
+
+ \vspace{0.5em}
+ {\Large\bfseries Cache anything (\tikzname, python…),\\in a robust, efficient and pure way.}
+
+ \vspace{1em}
+ {Léo Colisson \quad Version 1.0}\\[3mm]
+ {\href{https://github.com/leo-colisson/robust-externalize}{\texttt{github.com/leo-colisson/robust-externalize}}}
+\end{center}
+
+
+\tableofcontents
+
+\bigskip
+
+\textbf{WARNING: This library is young and has not been tested extensively (and is an important rewrite of a previous version). Even if we try to stay backward compatible, the only guaranteed way to be immune to changes is to copy/paste the library in your main project folder. Please report any bug to \url{https://github.com/leo-colisson/robust-externalize}, or let us know if it works!}
+
+\section{A taste of this library}
+
+This library allows you to cache any language: not only \LaTeX{} documents and \tikzname{} images, taking into account depth and overlays:
+\begin{codeexample}[width=0pt,vbox]
+ \robExtConfigure{
+ tikz/.append style={
+ add to preamble={\usepackage{pifont}}
+ }
+ }
+ The next picture is cached %
+ \begin{tikzpictureC}[baseline=(A.base)]
+ \node[fill=red, rounded corners](A){My node that respects baseline \ding{164}.};
+ \node[fill=red, rounded corners, opacity=.3,overlay] at (A.north east){I am an overlay text};
+ \end{tikzpictureC} and you can see that overlay and depth works.
+\end{codeexample}
+
+
+\noindent but also arbitrary code (e.g.\ python). You can also define arbitrary compilation commands, inclusion commands, and presets to fit you need. For instance, you can create a preset to obtain:
+
+\begin{codeAndResult}
+\begin{CacheMeCode}{python print code and result, set title={The for loop}}
+for name in ["Alice", "Bob"]:
+ print(f"Hello {name}")
+\end{CacheMeCode}
+\end{codeAndResult}
+
+Actually, we also provide this style by default (and explain how to write it yourself), you just make sure to load:
+\begin{verbatim}
+\usepackage{pythonhighlight}
+\usepackage{tcolorbox}
+\end{verbatim}
+
+To achieve a pleasant and configurable interface, we introduced placeholders, that can be of independent interest.
+
+\section{Introduction}
+
+\subsection{Why do I need to cache (a.k.a. externalize) parts of my document?}
+
+One often wants to cache (i.e.\ store pre-compiled parts of the document, like figures) operations that are long to do: For instance, TikZ is great, but TikZ figures often take time to compile (it can easily take a few seconds per picture). This can become really annoying with documents containing many pictures, as the compilation can take multiple minutes: for instance my thesis needed roughly 30mn to compile as it contains many tiny figures, and LaTeX needs to compile the document multiple times before converging to the final result. But even on much smaller documents you can easily reach a few minutes of compilation, which is not only high to get a useful feedback in real time, but worse, when using online \LaTeX{} providers (e.g. overleaf), this can be a real pain as you are unable to process your document due to timeouts.
+
+Similarly, you might want to cache the result of some codes, for instance a text or an image generated via python and matplotlib, without manually compiling them externally.
+
+\subsection{Why not using \tikzname{}'s externalize library?}
+
+\tikzname{} has an externalize library to pre-compile these images on the first run. Even if this library is quite simple to use, it has multiple issues:
+\begin{itemize}
+\item If you add a picture before existing pre-compiled pictures, the pictures that are placed after will be recompiled from scratch. This can be mitigated by manually adding a different prefix to each picture, but it is highly not practical to use.
+\item To compile each picture, TikZ's externalize library reads the document's preamble and needs to process (quickly) the whole document. In large documents (or in documents relying on many packages), this can result in a significant loading time, sometimes much bigger than the time to compile the document without the externalize library: for instance, if the document takes 10 seconds to be processed, and if you have 200 pictures that take 1s each to be compiled, the first compilation with the TikZ's externalize library will take roughly half an hour instead of 3mn without the library. And if you add a single picture at the beginning of the document… you need to restart everything from scratch. For these reasons, I was not even able to compile my thesis with TikZ's external library in a reasonable time.
+\item If two pictures share the same code, it will be compiled twice
+\item Little purity is enforced: if a macro changes before a pre-compiled picture that uses this macro, the figure will not be updated. This can result in different documents depending on whether the cache is cleared or not.
+\item As far as I know, it is made for TikZ picture mostly, and is not really made for inserting other stuff, like matplotlib images generated from python etc...
+\item According to some maintainers of TikZ, ``\mylink{https://github.com/pgf-tikz/pgf/issues/758}{the code of the externalization library is mostly unreadable gibberish}'', and therefore most of the above issues are unlikely to be solved in a foreseable future.
+\end{itemize}
+
+\subsection{FAQ}
+
+\paragraph{What is supported?}
+
+You can cache most things, including tikz pictures, (including ones with overlays (but not with remember picture), with depth etc.), python code etc. We tried to make the library as customizable as possible to be useful in most scenarios. You can also feed data back to the main document (say that you want to compute a value that takes time to compute, or compute the number of pages of the produced document in order to increase the number of pages accordingly\dots{}).
+
+\paragraph{What is not supported?}
+
+We do not yet support remember picture, and you can't use (yet) cross-references inside your images (at least not without further hacks). Note that this library is quite young, so expect untested things.
+
+\paragraph{What OS are supported?}
+
+I tested the library mostly on Linux systems, but the library should work on all OS. Please let me know if it fails for you.
+
+\paragraph{Do I need to compile using -shell-escape?}
+
+Since we need to compile the images via an external command, the simpler option is to add the argument |-shell-escape| to let the library run the compilation command automatically (this is also the case of \tikzname's externalize library). However, people worried by security issues of |-shell-escape| (that allows arbitrary code execution if you don't trust the \LaTeX{} code) might be interested by these facts:
+\begin{itemize}
+\item If images are all already cached, you don't need to enable \texttt{-shell-escape} (this might be interesting e.g. to send the files a pre-cached document to the arxiv or to a publisher: just make sure to include the cache folder).
+\item You can choose to display a dummy content until you choose to compile them.
+\item You can compile manually the images: all the commands that are left to be executed are listed in \texttt{robExt-compile-missing-figures.sh} and you can just run them, either with \texttt{bash robExt-compile-missing-figures.sh} or by typing them manually (most of the time it's only a matter of running \texttt{pdflatex somefile.tex}).
+\end{itemize}
+
+
+\paragraph{Is it working on overleaf?}
+
+Yes: overleaf automatically compiles documents with |-shell-escape|, so nothing special needs to be done there (of course, if you use this library to run some code, the programming language might not be available, but I heard that python is installed on overleaf servers for instance, even if this needs to be doubled checked). If the first compilation of the document to cache images times out, you can just repeat this operation multiple times until all images are cached.
+
+\paragraph{Do you have some benchmarks?}
+
+On an early draft of a small paper containing 76 small tikz-cd based pictures (from my other zx-calculus library), we measured:
+\begin{itemize}
+\item 35 seconds for a normal compilation without externalization
+\item 75 seconds for the first compilation with this library
+\item 2.4 seconds for the next runs
+\end{itemize}
+So during the first compilation, we lost a x2 factor (roughly an additional time of .5 seconds per picture coming from the time to start \LaTeX{}, it seems like on average a picture takes .5 seconds to be built in my benchmark), but then we have a speedup of x15 (2.43s instead of 34.63s) for all subsequent runs. And I expect this to be even higher with more pictures and more complex documents.
+
+\paragraph{Can I use version-control to keep the cached files in my repository?} Sure, each cached figure is stored in a few files (typically one pdf and one \LaTeX{} file, plus the source) having the same prefix (the hash), avoiding collision between runs. Just commit these files and you are good to go.
+
+\paragraph{Can you deal with baseline position ?} Yes, the depth of the box is automatically computed and used to include the figure by default.
+
+\paragraph{How is purity enforced?} Purity is the property that if you remove the cached files and recompile your document, you should end-up with the same output. To enforce purity, we compute the hash of the final program, including the compilation command and the dependency files used for instance in |\input{include.tex}| (unless you prefer not to, for instance to keep parts of the process impure for efficiency reasons), and put the code in a file named based on this hash. Then we compile it if it has not been used before, and include the output. Changing a single character in the file, the tracked dependencies, or the compilation command will lead to a new hash, and therefore to a new generated picture.
+
+\paragraph{What if I don't want purity for all files?} If you do not want your files to be recompiled if you modify a given file, then just do not add this file to the list of dependencies.
+
+\paragraph{Can I extend it easily?} We tried to take a quite modular approach in order to allow easy extensions. Internally, to support a new cache scheme, we only expect a string containing the program (possibly produced using a template), a list of dependencies, a command to compile this program (e.g. producing a pdf and possibly a tex file with the properties (depth…) of the pdf), and a command to load the result of the compilation into the final document (called after loading the previously mentioned optional tex file). Thanks to pgfkeys, it is then possible to create simple pre-made settings to automatically apply when needed.
+
+\paragraph{How does it compare with \url{https://github.com/sasozivanovic/memoize}?} I recently became aware of the great \url{https://github.com/sasozivanovic/memoize}. While me aim to solve a similar goal, our approaches are quite different. While we focus on purity, and therefore create a different file for each picture, the above project puts all pictures in a single file and compile them all at once to avoid losing time to run the latex command for each picture (this mostly makes a difference for the first compilation). Our understanding of the main differences is the following:
+
+Pros of \url{https://github.com/sasozivanovic/memoize}:
+\begin{itemize}
+\item The above library is likely to be quicker on the first run since it packs everything in a single file (so you save the time to run latex for each picture). On the other hand, we can load in the preamble exactly what is needed for the picture (we do not load all the preamble of the main file), so our startup time is not huge (it adds .5s per picture in my tests when using the |zx-calculus| library), and you can still commit the cached file to help with recompiling the document elsewhere.
+\item It seems to be easier to setup as they do not need to specify the preamble of the file to compile (the preamble of the main file is used), and tikz picture are automatically memoized (we provide |\robExtExternalizeAllTikzpictures| for that, but you still need to specify the preamble once).
+\end{itemize}
+
+Cons of \url{https://github.com/sasozivanovic/memoize}:
+\begin{itemize}
+\item The purity is not enforced so strongly since all images are in the same file. Notably, the hash only depends on the picture, but not on its context. So for instance if you define |\def\mycolor{blue}| before the picture, and use |\mycolor| inside the picture, if you change later the color to, say, |\def\mycolor{red}|, the picture will not be recompiled (so cleaning the cache and recompiling would produce a different result). In our case, the purity is always strictly enforced (unless you choose not to).
+\item As a result, the above library has poor support for contexts (in our case, you can easily, for instance, make a picture depend on the current page, and recompile the picture only if the current page changes: you can also do it the other way, and change some counters, say, depending on the cached file).
+\item The above library only focuses on \LaTeX{} while our library works for any language
+\item The above library can only produce pdf formats, while we can generate any format (text, tex, jpg\dots{} and even videos that I include in my beamer presentation).
+\item We have an arguably more complete documentation.
+\end{itemize}
+
+Note that |remember picture| is not working in both libraries.
+
+\section{Quickstart}
+
+\subsection{Installation}
+
+To install the library, just copy the |robust-externalize.sty| file into the root of the project. Then, load the library using:\\
+
+|\usepackage{robust-externalize}|
+
+
+\subsection{Caching a tikz picture}
+
+If you only care about \tikzname's picture, you have 3 options:
+\begin{enumerate}
+\item Call once |\robExtExternalizeAllTikzpictures| that will redefine |tikzpicture| to use our library (if you use this solution, make sure to read how to disable externalization (\cref{sec:disableExternalization}) as we do not support for instance |remember picture|). Then, configure the default preamble for cached files as explained below.
+\item Use |tikzpictureC| instead of |tikzpicture| (this is mostly done to easily convert existing code to this library, but works only for |tikz| pictures).
+\item Use the more general |CacheMe| environment, that can cache \tikzname, \LaTeX{}, python, and much more.
+\end{enumerate}
+
+These 3 options are illustrated below (note that the newly defined |tikzpicture| and |tikzpictureC| accept a second optional argument that contains the options to pass to |CacheMe| after loading the |tikz| preset):
+
+Option 1:
+\begin{codeexample}[width=0pt]
+%% We override the default tikzpicture environment
+%% to externalize all pictures
+%% Warning: it will cause troubles with pictures relying on |remember pictures|
+\robExtExternalizeAllTikzpictures
+
+I am a cached picture: \begin{tikzpicture}[baseline=(A.base)]
+ \node[draw,rounded corners,fill=pink!60](A){Hello World!};
+\end{tikzpicture}.
+\end{codeexample}
+
+Option 2:
+\begin{codeexample}[width=0pt]
+I am a cached picture: \begin{tikzpictureC}[baseline=(A.base)]
+ \node[draw,rounded corners,fill=pink!60](A){Hello World!};
+\end{tikzpictureC}.
+\end{codeexample}
+
+
+Option 3:
+\begin{codeexample}[width=0pt]
+I am a cached picture: \begin{CacheMe}{tikz}[baseline=(A.base)]
+ \node[draw,rounded corners,fill=pink!60](A){Hello World!};
+\end{CacheMe}.
+\end{codeexample}
+
+Since |CacheMe| is more general as it applies also to non-tikz pictures (just replace |tikz| with the style of your choice), we will mostly use this syntax from now.
+
+\subsection{Custom preamble}
+
+Note that the pictures are compiled in a separate document, with a different preamble and class (we use the standalone class). This is interesting to reduce the compilation time of each picture (loading a large preamble is really time consuming) and to avoid unnecessary recompilation (do you want to recompile all your pictures when you add a single new macro?) without sacrificing the purity. But of course, you need to provide the preamble of the pictures. The easiest way is probably to modify the |tikz| preset (you can also modify the |latex| preset if you want the change to apply to all \LaTeX{} documents):
+
+\begin{codeexample}[width=0pt,vbox]
+ \robExtConfigure{
+ tikz/.append style={
+ add to preamble={\usetikzlibrary{shadows}},
+ },
+ }
+
+ See, tikz's style now packs the |shadows| library by default: %
+ \begin{CacheMe}{tikz}[even odd rule]
+ \filldraw [drop shadow,fill=white] (0,0) circle (.5) (0.5,0) circle (.5);
+ \end{CacheMe}
+\end{codeexample}
+
+You can also choose to overwrite it for a single picture (or even a block of picture if you run the |\robExtConfigure| and |CacheMe| inside a group |{ ... }|):
+\begin{codeexample}[width=0pt,vbox]
+ See, you can add something to the preamble of a single picture: %
+ \begin{CacheMe}{tikz, add to preamble={\usetikzlibrary{shadows}}}[even odd rule]
+ \filldraw [drop shadow,fill=white] (0,0) circle (.5) (0.5,0) circle (.5);
+ \end{CacheMe}
+\end{codeexample}
+
+Note that if you use the |tikzpictureC| or |tikzpicture| syntax, you want to add the options after the tikz options (leave an empty bracket if there is none):
+\begin{codeexample}[width=0pt,vbox]
+ See, you can add something to the preamble of a single picture: %
+ \begin{tikzpictureC}[even odd rule][add to preamble={\usetikzlibrary{shadows}}]
+ \filldraw [drop shadow,fill=white] (0,0) circle (.5) (0.5,0) circle (.5);
+ \end{tikzpictureC}
+\end{codeexample}
+
+\subsection{Dependencies}\label{sec:dependencies}
+
+It might be handy to have a file that is loaded in both the main document and in the cached pictures. For instance, if you have a file |common_inputs.tex| that you want to input in both the main file and in the cached files, that contains, say:\\
+|\def\myValueDefinedInCommonInputs{42}|\\
+then you can add it as a dependency this way (here we use the |latex| preset that does not wrap the code inside a |tikzpicture| only to illustrate that we can also cache things that is not generated by tikz):
+\begin{codeexample}[width=0pt,vbox]
+\begin{CacheMe}{latex,
+ add dependencies={common_inputs.tex},
+ add to preamble={\input{__ROBEXT_WAY_BACK__/common_inputs.tex}}}
+ The answer is \myValueDefinedInCommonInputs.
+\end{CacheMe}
+\end{codeexample}
+Note that the placeholder |__ROBEXT_WAY_BACK__| contains the path from the cache folder (containing the |.tex| that will be cached) to the root folder, and will be replaced when creating the file. This way, you can easily input files contained in the root folder. You can also create your own placeholders, read more below.
+
+You can note that we used |add dependencies={common_inputs.tex}|: this allows us to recompile the files if |common_inputs.tex| changes. If you do not want this behavior (e.g. |common_inputs.tex| changes too often and you do not want to recompile everything at every change), you can remove this line, but beware: if you do a breaking changes in |common_inputs.tex| (e.g.\ redefine |42| to |43|), then the previously cached picture will not be recompiled! (So you will still read 42 instead of 43.)
+
+\subsection{Disabling externalization}\label{sec:disableExternalization}
+
+You can use |disable externalization| to disable externalization (which is particularly practical if you set |\robExtExternalizeAllTikzpictures|). You can configure the exact command run in that case using |command if no externalization/.code={...}|, see \cref{sec:disableExternalization} for details.
+
+\begin{codeexample}[width=0pt,vbox]
+ % In theory all pictures should be externalized (so remember picture should fail)
+ \tikz[remember picture,baseline=(pointtome1.base)]
+ \node[rounded corners, fill=orange](pointtome1){Point to me if you can};\\
+ \robExtExternalizeAllTikzpictures
+ % But we can disable it temporarily
+ \begin{tikzpicture}[remember picture][disable externalization]
+ \node[rounded corners, fill=red](A){This figure is not externalized.
+ This way, it can use remember picture.};
+ \draw[->,overlay] (A) to[bend right] (pointtome1);
+ \end{tikzpicture}\\
+
+ % You can also disable it globally/in a group:
+ {
+ \robExtConfigure{disable externalization}
+
+ \begin{tikzpicture}[remember picture]
+ \node[rounded corners, fill=red](A){This figure is not externalized.
+ This way, it can use remember picture.};
+ \draw[->,overlay] (A.west) to[bend left] (pointtome1);
+ \end{tikzpicture}\\
+
+ \begin{tikzpicture}[remember picture]
+ \node[rounded corners, fill=red](A){This figure is not externalized.
+ This way, it can use remember picture.};
+ \draw[->,overlay] (A.east) to[bend right] (pointtome1);
+ \end{tikzpicture}\\
+ }
+
+ \begin{tikzpicture}
+ \node[rounded corners, fill=green](A){This figure is externalized, but cannot use remember picture.};
+ \end{tikzpicture}
+\end{codeexample}
+
+
+\subsection{Feeding data from the main document to the picture}
+
+You can feed data from the main document to the cached file using placeholders, since |set placeholder eval={__foo__}{\bar}| will evaluate |\bar| and put the result in |__foo__|. For instance, if the picture depends on the current page, you can do:
+
+\begin{codeexample}[width=0pt,vbox]
+\begin{tikzpictureC}[][set placeholder eval={__thepage__}{\thepage}]
+ \node[rounded corners, fill=red]{The current page is __thepage__.};
+\end{tikzpictureC}
+\end{codeexample}
+
+\subsection{Feeding data back into the main document}
+
+For more advanced usage, you might want to compute a data and cache the result in a macro that you could use later. This is possible if you write into the file |\jobname-out.tex| during the compilation of the cached file (by default, we already open |\writeRobExt| to write to this file). This file will be automatically loaded before loading the pdf (but you can customize all these operations, for instance if you do not want to load the pdf at all; the only requirement is that you should generate a |.pdf| file to specify that the compilation is finished).
+
+For instance:
+
+\begin{codeexample}[width=0pt,vbox]
+\begin{CacheMe}{latex, add to preamble={\usepackage{tikz}}, do not include pdf}
+We compute this data that is long to compute:
+\pgfmathparse{(1 + sqrt(5))/2}% result is stored in \pgfmathresult
+% We write the result to the -out file (\string\foo writes \foo to the file without evaluating it,
+% so this will write "\gdef\myLongResult{1.61803}"):
+% Note that CacheMe is evaluated in a group, so you want to use \gdef to define it
+% outside of the group
+\immediate\write\writeRobExt{%
+ \string\gdef\string\myLongResult{\pgfmathresult}%
+}
+\end{CacheMe}
+
+We computed the cached value \myLongResult.
+\end{codeexample}
+
+\subsection{For non-\LaTeX{} code}
+
+Due to the way \LaTeX{} works, non-\LaTeX{} code can't be reliably read inside macros and some environments that parse their body (e.g. align) as some characters are removed (e.g. percent symbols are comments and are removed). For this reason, we sometimes need to separate the time where we define the code and where we insert it (this is done using placeholders, see |PlaceholderFromCode|), and we need to introduce new environments to populate the template (see \cref{sec:placeholders} for more details, to generate them from filename, to get the path of a file etc).
+
+The environment |CacheMeCode| can be used for this purpose.
+
+\subsubsection{Python code}
+
+\paragraph{Generate an image}
+
+For instance, you can use the default |python| template to generate an image with python. The following code:
+
+
+\begin{codeexample}[code only]
+\begin{CacheMeCode}{python, set includegraphics options={width=.8\linewidth}}
+import matplotlib.pyplot as plt
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{CacheMeCode}
+\end{codeexample}
+
+will produce the image visible in \cref{fig:pythonGeneratedImage}. \textbf{Importantly: you do not want to indent the content of CacheMeCode, or the space will also appear in the final code.}
+\begin{figure}
+\centering
+\begin{CacheMeCode}{python, set includegraphics options={width=.8\linewidth}}
+import matplotlib.pyplot as plt
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{CacheMeCode}
+\caption{Image generated with python.}
+\label{fig:pythonGeneratedImage}
+\end{figure}
+
+\paragraph{Compute a value}
+
+We also provide by default a number of helper functions. For instance, |write_to_out(text)| will write |text| to the |*-out.tex| file that is loaded automatically by \LaTeX{}. This is useful to compute data that is not an image (note that |r"some string"| does not consider backslash as an escape string, which is handy to write \LaTeX{} code in python):
+
+For instance:
+\begin{codeAndResult}
+\begin{CacheMeCode}{python, do not include pdf}
+import math
+write_to_out(r"\gdef\cosComputedInPython{" + str(math.cos(1)) + r"}")
+\end{CacheMeCode}
+
+$\rightarrow$ The cosinus of 1 is \cosComputedInPython.
+\end{codeAndResult}
+
+\paragraph{Improve an existing preset}
+
+If you often use the same code (e.g.\ load matplotlib, save the file etc), you can directly modify the |__ROBEXT_MAIN_CONTENT__| placeholder to add the redundant information (or create a new template from scratch, see below), as this placeholder contains the code typed by the user (this is true for all presets, as |CacheMe*| is in charge of setting this placeholder):
+
+\begin{codeAndResult}
+%% Create your style:
+\begin{PlaceholderFromCode}{__MY_MATPLOTLIB_TEMPLATE_BEFORE__}
+import matplotlib.pyplot as plt
+import sys
+\end{PlaceholderFromCode}
+
+\begin{PlaceholderFromCode}{__MY_MATPLOTLIB_TEMPLATE_AFTER__}
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{PlaceholderFromCode}
+
+\robExtConfigure{
+ my matplotlib/.style={
+ python,
+ add before placeholder no space={__ROBEXT_MAIN_CONTENT__}{__MY_MATPLOTLIB_TEMPLATE_BEFORE__},
+ add to placeholder no space={__ROBEXT_MAIN_CONTENT__}{__MY_MATPLOTLIB_TEMPLATE_AFTER__},
+ },
+}
+
+%% Use your style:
+%% See, you don't need to load matplotlib or save the file:
+\begin{CacheMeCode}{my matplotlib, set includegraphics options={width=.5\linewidth}}
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+\end{CacheMeCode}
+\end{codeAndResult}
+
+\paragraph{Custom parameters and placeholders}
+
+Let us say that you would like to define a default font size for your figure, but that you would like to allow the user to change this font size. Then, you should create a new placeholder with your default value, and use |set placeholder| to change this value later (see also the documentation of |CacheMeCode| to see how to create a new command to avoid typing |set placeholder|):
+
+\begin{codeAndResult}
+%% Create your style:
+
+\begin{PlaceholderFromCode}{__MY_MATPLOTLIB_TEMPLATE_BEFORE__}
+import matplotlib as mpl
+import matplotlib.pyplot as plt
+import sys
+mpl.rcParams['font.size'] = __MY_MATPLOTLIB_FONT_SIZE__
+\end{PlaceholderFromCode}
+
+\begin{PlaceholderFromCode}{__MY_MATPLOTLIB_TEMPLATE_AFTER__}
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{PlaceholderFromCode}
+
+\robExtConfigure{
+ my matplotlib/.style={
+ python,
+ % We create a new placeholder (it is simple enough that you don't need to use PlaceholderFromCode)
+ set placeholder={__MY_MATPLOTLIB_FONT_SIZE__}{12},
+ add before placeholder no space={__ROBEXT_MAIN_CONTENT__}{__MY_MATPLOTLIB_TEMPLATE_BEFORE__},
+ add to placeholder no space={__ROBEXT_MAIN_CONTENT__}{__MY_MATPLOTLIB_TEMPLATE_AFTER__},
+ },
+}
+
+%% Use your style:
+%% See, you don't need to load matplotlib or save the file:
+Default font size: \begin{CacheMeCode}{my matplotlib, set includegraphics options={width=.5\linewidth}}
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+\end{CacheMeCode}
+
+With font size 16:
+\begin{CacheMeCode}{my matplotlib,
+ set includegraphics options={width=.5\linewidth},
+ set placeholder={__MY_MATPLOTLIB_FONT_SIZE__}{16}}
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+\end{CacheMeCode}
+\end{codeAndResult}
+
+Note that if you manage to move all the code in the template and that the user can configure everything using the options and an empty content, you can use |CacheMeNoContent| that takes no argument and that consider its body as the options.
+
+\paragraph{Custom include command}
+
+There may be some cases where you do not want to include a picture. We already saw the option |do not include pdf| if you do not want to include anything. But you can customize the include function, using notably:\\
+|custom include command={your include command}|
+
+For instance, let us say that you would like to display both the source code used to obtain a given code, together with the output of this code. Then, you can write this style:
+
+\begin{codeexample}[code only]
+{
+%% Create your style:
+\begin{PlaceholderFromCode}{__MY_PRINT_BOTH_TEMPLATE_BEFORE__}
+# File where print("bla") should be redirected
+# get_filename_from_extension("-foo.txt") will give you the path of the file
+# in the cache that looks like robExt-somehash-foo.txt
+print_file = open(get_filename_from_extension("-print.txt"), "w")
+sys.stdout = print_file
+# This code will read the current code, and extract the lines between
+# that starts with "### CODESTARTSHERE" and "### CODESTOPSHERE", and will write
+# it into the *-code.text (we do not want to print all these functions in
+# the final code)
+with open(get_filename_from_extension("-code.txt"), "w") as f:
+ # The current script has extension .tex
+ with open(get_current_script(), "r") as script:
+ should_write = False
+ for line in script:
+ if line.startswith("### CODESTARTSHERE"):
+ should_write = True
+ elif line.startswith("### CODESTOPSHERE"):
+ should_write = False
+ elif "HIDEME" in line:
+ pass
+ else:
+ if should_write:
+ f.write(line)
+### CODESTARTSHERE
+\end{PlaceholderFromCode}
+
+
+\begin{PlaceholderFromCode}{__MY_PRINT_BOTH_TEMPLATE_AFTER__}
+### CODESTOPSHERE
+print_file.close()
+\end{PlaceholderFromCode}
+
+\robExtConfigure{
+ my python print both/.style={
+ python,
+ add before placeholder no space={__ROBEXT_MAIN_CONTENT__}{__MY_PRINT_BOTH_TEMPLATE_BEFORE__},
+ add to placeholder no space={__ROBEXT_MAIN_CONTENT__}{__MY_PRINT_BOTH_TEMPLATE_AFTER__},
+ set title/.style={
+ set placeholder={__MY_TITLE__}{##1},
+ },
+ set title={Example},
+ custom include command={
+ % Useful to replace __MY_TITLE__:
+ \evalPlaceholder{
+ % \verbatiminput{\robExtAddCachePathAndName{\robExtFinalHash-code.txt}}
+ \begin{tcolorbox}[colback=red!5!white,colframe=red!75!black,title=__MY_TITLE__]
+ \lstinputlisting[frame=single,
+ breakindent=.5\textwidth,
+ frame=single,
+ breaklines=true,
+ style=mypython]{\robExtAddCachePathAndName{\robExtFinalHash-code.txt}}
+ Output:
+ \verbatiminput{\robExtAddCachePathAndName{\robExtFinalHash-print.txt}}
+ \end{tcolorbox}
+ }
+ },
+ },
+}
+\end{codeexample}
+
+Once the style is defined (actually we already defined in the library under the name |python print code and result|), you can just write:
+\begin{codeexample}[code only]
+\begin{CacheMeCode}{my python print both, set title={The for loop}}
+for name in ["Alice", "Bob"]:
+ print(f"Hello {name}")
+\end{CacheMeCode}
+\end{codeexample}
+to get:
+{
+%% Create your style:
+\begin{PlaceholderFromCode}{__MY_PRINT_BOTH_TEMPLATE_BEFORE__}
+# File where print("bla") should be redirected
+# get_filename_from_extension("-foo.txt") will give you the path of the file
+# in the cache that looks like robExt-somehash-foo.txt
+print_file = open(get_filename_from_extension("-print.txt"), "w")
+sys.stdout = print_file
+# This code will read the current code, and extract the lines between
+# that starts with "### CODESTARTSHERE" and "### CODESTOPSHERE", and will write
+# it into the *-code.text (we do not want to print all these functions in
+# the final code)
+with open(get_filename_from_extension("-code.txt"), "w") as f:
+ # The current script has extension .tex
+ with open(get_current_script(), "r") as script:
+ should_write = False
+ for line in script:
+ if line.startswith("### CODESTARTSHERE"):
+ should_write = True
+ elif line.startswith("### CODESTOPSHERE"):
+ should_write = False
+ elif "HIDEME" in line:
+ pass
+ else:
+ if should_write:
+ f.write(line)
+### CODESTARTSHERE
+\end{PlaceholderFromCode}
+
+
+\begin{PlaceholderFromCode}{__MY_PRINT_BOTH_TEMPLATE_AFTER__}
+### CODESTOPSHERE
+print_file.close()
+\end{PlaceholderFromCode}
+
+\robExtConfigure{
+ my python print both/.style={
+ python,
+ add before placeholder no space={__ROBEXT_MAIN_CONTENT__}{__MY_PRINT_BOTH_TEMPLATE_BEFORE__},
+ add to placeholder no space={__ROBEXT_MAIN_CONTENT__}{__MY_PRINT_BOTH_TEMPLATE_AFTER__},
+ set title/.style={
+ set placeholder={__MY_TITLE__}{##1},
+ },
+ set title={Example},
+ custom include command={
+ % Useful to replace __MY_TITLE__:
+ \evalPlaceholder{
+ % \verbatiminput{\robExtAddCachePathAndName{\robExtFinalHash-code.txt}}
+ \begin{tcolorbox}[colback=red!5!white,colframe=red!75!black,title=__MY_TITLE__]
+ % \noindent Code:
+ \lstinputlisting[frame=single,breakindent=.5\textwidth,frame=single,breaklines=true,style=mypython]{\robExtAddCachePathAndName{\robExtFinalHash-code.txt}}
+ Output:
+ \verbatiminput{\robExtAddCachePathAndName{\robExtFinalHash-print.txt}}
+ \end{tcolorbox}
+ }
+ },
+ },
+}
+
+%% Use your style:
+\begin{CacheMeCode}{my python print both, set title={The for loop}}
+for name in ["Alice", "Bob"]:
+ print(f"Hello {name}")
+\end{CacheMeCode}
+}
+
+\subsubsection{Other languages}
+
+We also provide support for other languages, notably |bash|, but it is relatively easy to add basic support for any new language. You only need to configure |set compilation command| to your command, |set template| to the file to compile (|__ROBEXT_MAIN_CONTENT__| contains the code typed by the user), and possibly a custom include command with |custom include command| if you do not want to do |\includegraphics| on the final pdf. For instance, to define a basic template for bash, you just need to use:
+
+\begin{codeAndResult}
+% Create your style
+\begin{PlaceholderFromCode}{__MY_BASH_TEMPLATE__}
+# Quit if there is an error
+set -e
+__ROBEXT_MAIN_CONTENT__
+# Create the pdf file to certify that no compilation error occured
+touch "__ROBEXT_OUTPUT_PDF__"
+\end{PlaceholderFromCode}
+
+\robExtConfigure{
+ my bash/.style={
+ set compilation command={bash "__ROBEXT_SOURCE_FILE__"},
+ set template={__MY_BASH_TEMPLATE__},
+ %%% Version 1:
+ % verbatim output,
+ %%% Version 2:
+ custom include command={%
+ \evalPlaceholder{%
+ \verbatiminput{__ROBEXT_CACHE_FOLDER____ROBEXT_OUTPUT_PREFIX__-out.txt}%
+ }%
+ },
+ % Ensure that the code does not break when externalization is disabled
+ print verbatim if no externalization,
+ }
+}
+
+% Use your style
+\begin{CacheMeCode}{my bash}
+# Write the system conf to a file *-out.txt
+uname -srv > "__ROBEXT_OUTPUT_PREFIX__-out.txt"
+\end{CacheMeCode}
+\end{codeAndResult}
+
+
+\paragraph{Code inside a macro}
+
+Due to fundamental \LaTeX{} restrictions, it is impossible to use |CacheMeCode| inside a macro or some environments as \LaTeX{} will strip all lines containing a percent character for instance. The solution here is to define our main content before, and then set it using |set main content| (that simply sets |__ROBEXT_MAIN_CONTENT__|). In this example, we also show how |CacheMeNoContent| can be used when their is no content (the arguments to |CacheMe| are directly given in the body of |CacheMeNoContent|):
+
+\begin{codeAndResult}
+\begin{PlaceholderFromCode}{__TMP_MAIN_CONTENT__}
+import matplotlib.pyplot as plt
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{PlaceholderFromCode}
+
+\fbox{\begin{CacheMeNoContent}
+ python,
+ set includegraphics options={width=.8\linewidth},
+ set main content={__TMP_MAIN_CONTENT__},
+\end{CacheMeNoContent}}
+\end{codeAndResult}
+
+\section{Documentation}
+
+\subsection{How it works}
+
+This library must be able to generate 3 elements for any cached content:
+\begin{itemize}
+\item a source file, that will be compiled, and is obtained by expanding the placeholder |__ROBEXT_TEMPLATE__| (see \cref{sec:placeholders}),
+\item a compilation command obtained by expanding the placeholder |__ROBEXT_COMPILATION_COMMAND__|,
+\item a dependency file, that contains the hash of all the dependencies (see \cref{sec:dependencies} for details) and the compilation command,
+\item an inclusion command (this one is not used during the caching process, it is only used when including the compiled document in the main document), that you can set using |custom include command={your command}|.
+\end{itemize}
+
+The hash of all these elements is computed in order to obtain a reference hash, denoted |somehash| that looks like a unique random value (note that |__ROBEXT_OUTPUT_PDF__| and alike are expanded after knowing the hash since they depend on the final hash value). This hash |somehash| will change whenever a dependency changes, or if the compilation command changes, ensuring purity. Then, the dependency file and the source file are written in the cache, by default in |robustExternalize/robExt-somehash.tex| and |robustExternalize/robExt-somehash.deps|. Then, the compilation command will be run from the cache folder. At the end, by default, we check if a file |robustExternalize/robExt-somehash.pdf| exists: if not we abort, otherwise we |\input| the file |robustExternalize/robExt-somehash-out.tex| and we run the include command (that includes the pdf by default). As we saw earlier, this command can be customized to use other files. \textbf{Importantly, all the files created during the compilation must be prefixed by} |robExt-somehash|, which can be obtained at runtime using |__ROBEXT_OUTPUT_PREFIX__|. This way, we can easily clean the cache while ensuring maximum purity.
+
+In the following, we will denote by |*-foo.bar| the file in:\\
+|robustExternalize/robExt-somehash-foo.bar|.
+
+Note also that we usually define two names for each function, one normal and one prefixed with |robExt| (or |RobExt|) for environments. In this documentation, we only write the first form, but the second form is kept in case a conflicting package redefines some functions.
+
+\subsection{Placeholders}\label{sec:placeholders}
+
+Placeholders are the main concept allowing this library to generate the content of a source file based on a template (a template will itself be a placeholder containing other placeholders). A placeholder is a special strings like |__COLOR_IMAGE__| inserted for instance in a string, that will be given a value later. This value will be used to replace (recursively) the placeholder in the template. For instance, if a placeholder |__LIKES__| contains |I like __FRUIT__ and __VEGETABLE__|, if the placeholder |__FRUIT__| contains |oranges| and if the placeholder |__VEGETABLE__| contains |salad|, then evaluating |__LIKES__| will output |I like oranges and salad.|
+
+Note that the usage of underscore in only a convention, as any name can be used for the placeholder. There is however one rule to follow: the name of a placeholder should be made to avoid ambiguities when replacing the string, notably its name should not contain the name of another placeholder. For instance, if we define a placeholder called |NAME| containing |Foo| and a placeholder named |FULL_NAME| containing |Foo Bar|, then when evaluating the string |My name is FULL_NAME|, we have no way to know if the user wants to get |My name is FULL_Foo| or |My name is Foo Bar|. For this reason, \textbf{we advice users to start and end their placeholder names using two underscores} |__|, while using only upper case letters and single underscore |_| inside the placeholder name (this also improves readability). If you are worried about ambiguities like |__PLACEHOLDER1__PLACEHOLDER2__|, you can also use different separators for the beginning and the end like |__PLACEHOLDER1__|, but beware that |[| requires brackets around when used in pgf styles.
+
+Placeholders are local variables (internally just some \LaTeX{} 3 strings). You can therefore define a placeholder in a local group surrounded by brackets |{ ... }| if you want it to have a reduced scope.
+
+\subsubsection{Reading a placeholder}
+
+\begin{pgfmanualentry}
+ \extractcommand\getPlaceholder\opt{\oarg{new placeholder name}}\marg{name placeholder or string}\@@
+ \extractcommand\getPlaceholderInResult\opt{\oarg{new placeholder name}}\marg{name placeholder or string}\@@
+ \pgfmanualbody
+
+ Get the value of a placeholder after replacing (recursively) all the inner placeholders. |\getPlaceholderInResult| puts the resulting string in a \LaTeX{} 3 string |\l_robExt_result_str| and in |\robExtResult|, while |\getPlaceholder| directly outputs this string. You can also put inside the argument
+ any arbitrary string, allowing you, for instance, to concatenate multiple placeholders, copy a placeholder etc. Note that you will get a string, but this string will not be evaluated by \LaTeX{} (see |\evalPlaceholder| for that), for instance math will not be interpreted:
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderFromContent{__MY_PLACEHOLDER__}{Hello __NAME__, I am a template $\delta_n$.}
+ \placeholderFromContent{__NAME__}{Alice __NICKNAME__}
+ \placeholderFromContent{__NICKNAME__}{the great}
+ The placeholder evaluates to:\\
+ \texttt{\getPlaceholder{__MY_PLACEHOLDER__}}\\
+ Combining placeholders produces:\\
+ \texttt{\getPlaceholder{In ``__MY_PLACEHOLDER__'', the name is __NAME__.}}
+\end{codeexample}
+You can also specify the optional argument in order to additionally define a new placeholder containing the resulting string (but you might prefer to use its alias |\setPlaceholderRec| described below):
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderFromContent{__MY_PLACEHOLDER__}{Hello __NAME__, I am a template $\delta_n$.}
+ \placeholderFromContent{__NAME__}{Alice __NICKNAME__}
+ \placeholderFromContent{__NICKNAME__}{the great}
+ \getPlaceholderInResult[__NEW_PLACEHOLDER__]{In ``__MY_PLACEHOLDER__'', the name is __NAME__.}
+ \printAllPlaceholdersExceptDefaults
+\end{codeexample}
+\end{pgfmanualentry}
+
+
+\begin{pgfmanualentry}
+ \extractcommand\evalPlaceholder\marg{name placeholder or string}\@@
+ \pgfmanualbody
+
+ Evaluate the value of a placeholder after replacing (recursively) all the inner placeholders. You can also put inside any arbitrary string.
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderFromContent{__MY_PLACEHOLDER__}{Hello __NAME__, I am a template $\delta_n$.}
+ \placeholderFromContent{__NAME__}{Alice __NICKNAME__}
+ \placeholderFromContent{__NICKNAME__}{the great}
+ % The placeholder evaluates to \texttt{\getPlaceholder{__MY_PLACEHOLDER__}}.
+ The placeholder evaluates to:\\
+ \evalPlaceholder{__MY_PLACEHOLDER__}\\
+ Combining placeholders produces:\\
+ \evalPlaceholder{In ``__MY_PLACEHOLDER__'', the name is __NAME__.}
+\end{codeexample}
+\end{pgfmanualentry}
+
+\subsubsection{List and debug placeholders}
+
+It can sometimes be handy to list all placeholders, print their contents etc. We list here commands that are mostly useful for debugging purposes.
+
+\begin{pgfmanualentry}
+ \extractcommand\printAllPlaceholdersExceptDefaults\opt{*}\@@
+ \pgfmanualbody
+
+ Prints the verbatim content of all defined placeholders (without performing any replacement of inner placeholders), except for the placeholders that are defined by default in this library (that we identify as they start with |__ROBEXT_|). The stared version does print the name of the placeholder defined in this library, but not their definition. This is mostly for debugging purposes.
+\begin{codeexample}[width=0pt,vbox]
+\placeholderFromContent{__LIKES__}{Hello __NAME__ I am a really basic template $\delta_n$.}
+\placeholderFromContent{__NAME__}{Alice}
+\printAllPlaceholdersExceptDefaults
+\end{codeexample}
+Compare with:
+\begin{codeexample}[width=0pt,vbox]
+\placeholderFromContent{__LIKES__}{Hello __NAME__ I am a really basic template $\delta_n$.}
+\placeholderFromContent{__NAME__}{Alice}
+\printAllPlaceholdersExceptDefaults*
+\end{codeexample}
+
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \extractcommand\printAllPlaceholders\@@
+ \pgfmanualbody
+
+ Prints the verbatim content of all defined placeholders (without performing any replacement of inner placeholders), including the placeholders that are defined by default in this library. This is mostly for debugging purposes. Here is the result of |\printAllPlaceholders|:
+
+ \printAllPlaceholders
+\end{pgfmanualentry}
+
+
+\begin{pgfmanualentry}
+ \extractcommand\printPlaceholderNoReplacement\marg{name placeholder}\@@
+ \pgfmanualbody
+
+ Prints the verbatim content of a given placeholder, without evaluating it and \textbf{without replacing inner placeholders: it is used mostly for debugging purposes} and will be used in this documentation to display the content of the placeholder for educational purposes. The stared version prints it inline.
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderFromContent{__LIKES__}{Hello NAME I am a really basic template $\delta_n$.}
+ \placeholderFromContent{NAME}{Alice}
+ The (unexpanded) template contains \printPlaceholderNoReplacement{__LIKES__}.\\
+ The (unexpanded) template contains \printPlaceholderNoReplacement*{__LIKES__}
+\end{codeexample}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \extractcommand\printPlaceholder\marg{name placeholder}\@@
+ \pgfmanualbody
+
+ Like |\printPlaceholderNoReplacement| except that it first replaces the inner placeholders. The stared version prints it inline.
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderFromContent{__LIKES__}{Hello NAME I am a really basic template $\delta_n$.}
+ \placeholderFromContent{NAME}{Alice}
+ The (unexpanded) template contains \printPlaceholder{__LIKES__}.\\
+ The (unexpanded) template contains \printPlaceholder*{__LIKES__}
+\end{codeexample}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \extractcommand\evalPlaceholderNoReplacement\marg{name placeholder}\@@
+ \pgfmanualbody
+
+ Evaluates the content of a given placeholder as a \LaTeX{} code, \textbf{without replacing the placeholders contained inside (mostly used for debugging purposes).}
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderFromContent{__LIKES__}{Hello NAME I am a really basic template $\delta_n$.}
+ \placeholderFromContent{NAME}{Alice}
+ The (unexpanded) template evaluates to ``\evalPlaceholderNoReplacement{__LIKES__}''.
+\end{codeexample}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \extractcommand\getPlaceholderNoReplacement\marg{name placeholder}\@@
+ \pgfmanualbody
+
+ Like |\evalPlaceholderNoReplacement| except that it only outputs the string without evaluating the macros inside.
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderFromContent{__LIKES__}{Hello NAME I am a really basic template $\delta_n$.}
+ \placeholderFromContent{NAME}{Alice}
+ The (unexpanded) template contains \texttt{\getPlaceholderNoReplacement{__LIKES__}}
+\end{codeexample}
+\end{pgfmanualentry}
+
+\subsubsection{Setting a value to a placeholder}
+
+
+\begin{pgfmanualentry}
+ \extractcommand\placeholderFromContent\marg{name placeholder}\marg{content placeholder}\@@
+ \extractcommand\setPlaceholder\marg{name placeholder}\marg{content placeholder}\@@
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set placeholder=\marg{name placeholder}\marg{content placeholder}\@nil
+ \extractkey/robExt/set placeholder from content=\marg{name placeholder}\marg{content placeholder}\@nil
+ \makeatother%
+ \pgfmanualbody
+
+ |\placeholderFromContent| (and its alias |\setPlaceholder| and its equivalent pgf styles |/robExt/set placeholder| and |/robExt/set placeholder from content|) is useful to set a value to a given placeholder.
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderFromContent{__LIKES__}{Hello I am a basic template with math $\delta_n$ and macros \hello}
+ The (unexpanded) template contains \printPlaceholderNoReplacement{__LIKES__} and %
+ after evaluation and setting the value of hello,%
+ \def\hello{Hello my friend!}%
+ you get ``\evalPlaceholder{__LIKES__}''.
+\end{codeexample}
+ As you can see, \textbf{the precise content is not exactly identical to the original string}: \LaTeX{} comments are removed, spaces are added after macros, some newlines are removed etc. While this is usually not an issue when dealing with \LaTeX{} code, it causes some troubles when dealing with non-\LaTeX{} code. For this reason, we define \textbf{other commands} (see for instance |PlaceholderFromCode| below) that can accept verbatim content; the downside being that \LaTeX{} forbids usage of these verbatim commands inside other macros, so you should always define them at the top level (this seems to be fundamental to how \LaTeX{} works, as any input to a macro gets interpreted first as a \LaTeX{} string, losing all comments for instance). Note that this is not as restrictive as it may sound, as it is always possible to define the needed placeholders before any macro, while using them inside the macro, possibly combining them with other placeholders (defined either before or inside the macro).
+\end{pgfmanualentry}
+
+But before seeing how to define placeholder containing arbitrary code, let us first see how we can define a placeholder recursively, by giving it a value based on its previous value (useful for instance in order to add stuff to it).
+
+\begin{pgfmanualentry}
+ \extractcommand\setPlaceholderRec\marg{new placeholder}\marg{content with placeholder}\@@
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set placeholder rec=\marg{name placeholder}\marg{content placeholder}\@nil
+ \makeatother%
+ \pgfmanualbody
+
+ |\setPlaceholderRec{foo}{bar}| is actually an alias for |\getPlaceholderInResult[foo]{bar}|. Note that contrary to |\setPlaceholder|, it recursively replaces all inner placeholders. This is particularly useful to add stuff to an existing (or not) placeholder:
+\begin{codeexample}[width=0pt,vbox]
+\setPlaceholderRec{__MY_COMMAND__}{pdflatex}
+\setPlaceholderRec{__MY_COMMAND__}{__MY_COMMAND__ myfile}
+\printAllPlaceholdersExceptDefaults
+\end{codeexample}
+Note that the if the placeholder content contains at the end the placeholder name, we will automatically remove it to avoid infinite recursion at evaluation time. This has the benefit that you can add something to a placeholder even if this placeholder does not exists yet (in which case it will be understood as the empty string):
+\begin{codeexample}[width=0pt,vbox]
+\setPlaceholderRec{__COMMAND_ARGS__}{__COMMAND_ARGS__ -l}
+\setPlaceholderRec{__COMMAND_ARGS__}{__COMMAND_ARGS__ -s}
+\printAllPlaceholdersExceptDefaults
+\end{codeexample}
+\end{pgfmanualentry}
+
+Note that sometimes, you might not want to use |\setPlaceholderRec| to simply append some data to the placeholder as it will also evaluate the inner placeholders (meaning that you will not be able to redefine them later). For this reason, we also provide functions to add something to the placeholder without evaluating it first:
+\begin{pgfmanualentry}
+ \extractcommand\addToPlaceholder\opt{*}\marg{placeholder}\marg{content to add}\@@
+ \extractcommand\addBeforePlaceholder\opt{*}\marg{placeholder}\marg{content to add}\@@
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/add to placeholder=\marg{name placeholder}\marg{content to add}\@nil
+ \extractkey/robExt/add to placeholder no space=\marg{name placeholder}\marg{content to add}\@nil
+ \extractkey/robExt/add before placeholder=\marg{name placeholder}\marg{content to add}\@nil
+ \extractkey/robExt/add before placeholder no space=\marg{name placeholder}\marg{content to add}\@nil
+ \makeatother%
+ \pgfmanualbody
+
+ |\addToPlaceholder{foo}{bar}| adds |bar| at the end of the placeholder |foo| (by default it also adds a space, unless you use the star version), creating it if it does not exist (the |before| variants add the content\dots{} before).
+\begin{codeexample}[width=0pt,vbox]
+\setPlaceholder{__ENGINE__}{pdflatex}
+\setPlaceholder{__COMMAND__}{__ENGINE__ --option}
+\addToPlaceholder{__COMMAND__}{--other}
+\addToPlaceholder*{__COMMAND__}{-option}
+\addBeforePlaceholder{__COMMAND__}{time}
+\printAllPlaceholdersExceptDefaults
+\end{codeexample}
+\end{pgfmanualentry}
+
+
+\begin{pgfmanualentry}
+ \extractcommand\evalPlaceholderInplace\marg{name placeholder}\@@
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/eval placeholder inplace=\marg{name placeholder}\@nil
+ \makeatother%
+ \pgfmanualbody
+ This command will update (inplace) the content of a macro by first replacing recursively the placeholders, and finally by expanding the \LaTeX{} macros.
+\begin{codeexample}[width=0pt,vbox]
+\def\mymacro{Initial value}
+\placeholderFromContent{__MACRO_NOT_EVALUATED__}{\mymacro}
+\placeholderFromContent{__MACRO_EVALUATED__}{\mymacro}
+\evalPlaceholderInplace{__MACRO_EVALUATED__}
+\printAllPlaceholdersExceptDefaults
+\def\mymacro{Final value}
+Compare \evalPlaceholder{__MACRO_EVALUATED__} and \evalPlaceholder{__MACRO_NOT_EVALUATED__}.
+\end{codeexample}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set placeholder eval=\marg{name placeholder}\marg{content placeholder}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Alias for |\setPlaceholderRec{#1}{#2}\evalPlaceholderInplace{#1}|: set and evaluate recursively the placeholders and macros. This can be practical to pass the value of a counter/macro to the template (of course, if this value is fixed, you can also directly load it from the preambule):
+\begin{codeexample}[width=0pt,vbox]
+\begin{CacheMe}{tikz, set placeholder eval={__thepage__}{\thepage}}
+ \node[rounded corners, fill=red]{The current page is __thepage__.};
+\end{CacheMe}
+\end{codeexample}
+Note that this works well for commands that expand completely, but some more complex commands might not expand properly (like |cref|). I need to investigate how to solve this issue, meanwhile you can still disable externalization for these pictures.
+\end{pgfmanualentry}
+
+
+\begin{pgfmanualentry}
+ \extractenvironement{PlaceholderFromCode}\marg{name placeholder}\@@
+ \extractenvironement{setPlaceholderCode}\marg{name placeholder}\@@
+ \pgfmanualbody
+
+ These two (aliased) environments are useful to set a verbatim value to a given placeholder: the advantage is that you can put inside any code, including \LaTeX{} comments, the downside is that you cannot use it inside macros and some environments (so you typically define it before the macros and call it inside).
+% \begin{codeexample}[width=0pt,vbox]
+% \placeholderFromContent{__PYTHON_CODE__}{}
+% The (unexpanded) template contains \printPlaceholderNoReplacement{__LIKES__} and %
+% after evaluation (no replacement), you get ``\evalPlaceholderNoReplacement{__LIKES__}''.
+% \end{codeexample}
+
+\begin{codeexample}[width=0pt,vbox]
+\begin{PlaceholderFromCode}{__PYTHON_CODE__}
+def my_function(b): # this is a python code
+ c = {}
+ d[42] = 0
+ return b
+\end{PlaceholderFromCode}
+\printAllPlaceholdersExceptDefaults
+\end{codeexample}
+
+
+Note that |PlaceholderFromCode| should not be used inside other macros or inside some environments (notably the ones that need to evaluate the body of the environment, e.g. using |+b| argument or |environ|) as verbatim content is parsed first by the macro, meaning that some characters might be changed or removed. For instance, any percent character would be considered as a comment, removing the rest of the line. However, this should not be be problem if you use it outside of any macro or environment, or if you load it from a file. For instance this code:
+\begin{verbatim}
+\begin{PlaceholderFromCode}{__PYTHON_CODE__}
+def my_function(b): # this is a python code
+ c = {}
+ d[42] = 0
+ return b % 2
+\end{PlaceholderFromCode}
+\printAllPlaceholdersExceptDefaults
+\end{verbatim}
+would produce:
+
+{
+\begin{PlaceholderFromCode}{__PYTHON_CODE__}
+def my_function(b): # this is a python code
+ c = {}
+ d[42] = 0
+ return b % 2
+\end{PlaceholderFromCode}
+\begin{codeexample}[width=0pt,vbox]
+\printAllPlaceholdersExceptDefaults
+\end{codeexample}
+}
+Note that of course, you can define a placeholder before a macro and call it inside (explaining how we can generate this documentation).
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \extractcommand\placeholderPathFromFilename\marg{name placeholder}\marg{filename}\@@
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set placeholder path from filename=\marg{name placeholder}\marg{filename}\@nil
+ \makeatother%
+ \pgfmanualbody
+
+ |\placeholderPathFromFilename{__MYLIB__}{mylib.py}| will copy |mylib.py| in the cache (setting its hash depending on its content), and set the content of the placeholder |__MYLIB__| to the \textbf{path} of the library in the cache. Note that the path is relative to the cache folder (it is easier to use for instance if you want to call this library from a code already in the cache).
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderPathFromFilename{__MYLIB__}{mylib.py}
+ \printAllPlaceholdersExceptDefaults
+ You can also get the path relative to the root folder:\\
+ \robExtAddCachePath{\getPlaceholderNoReplacement{__MYLIB__}}
+\end{codeexample}
+\end{pgfmanualentry}
+
+
+\begin{pgfmanualentry}
+ \extractcommand\placeholderFromFileContent\marg{name placeholder}\marg{filename}\@@
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set placeholder from file content=\marg{name placeholder}\marg{filename}\@nil
+ \makeatother%
+ \pgfmanualbody
+
+ |\placeholderFromFileContent{__MYLIB__}{mylib.py}| will set the content of the placeholder |__MYLIB__| to the content of |mylib.py|.
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderFromFileContent{__MYLIB__}{mylib.py}
+ \printAllPlaceholdersExceptDefaults
+\end{codeexample}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \extractcommand\placeholderPathFromContent\marg{name placeholder}\opt{\oarg{suffix}}\marg{content}\@@
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set placeholder path from content=\marg{name placeholder}\marg{suffix}\marg{content}\@nil
+ \makeatother%
+ \pgfmanualbody
+
+ |\placeholderPathFromContent{__MYLIB__}{some content}| will copy |some content| in a file in the cache (setting its hash depending on its content, the filename will end with |suffix| that defaults to |.tex|), and set the content of the placeholder |__MYLIB__| to the \textbf{path} of the file in the cache. Note that the path is relative to the cache folder (it is easier to use for instance if you want to call this library from a code already in the cache).
+\begin{codeexample}[width=0pt,vbox]
+ \placeholderPathFromContent{__MYLIB__}[.py]{some contents b}
+ \printAllPlaceholdersExceptDefaults
+ You can also get the path relative to the root folder:\\
+ \robExtAddCachePath{\getPlaceholderNoReplacement{__MYLIB__}}\\
+ As a sanity check, this file contains
+ \verbatiminput{\robExtAddCachePath{\getPlaceholderNoReplacement{__MYLIB__}}}
+\end{codeexample}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \extractenvironement{PlaceholderPathFromCode}\opt{\oarg{suffix}}\marg{name placeholder}\@@
+ \pgfmanualbody
+
+ This environment is similar to |\placeholderPathFromContent| except that it accepts verbatim code (therefore \LaTeX{} comments, newlines etc. will not be removed). However, due to \LaTeX{} limitations, this environment cannot be used inside macros or some environments, or this property will not be preserved.
+ For instance, if you create your placeholder using:
+\begin{verbatim}
+\begin{PlaceholderPathFromCode}[.py]{__MYLIB__}
+def my_function(b): # this is a python code
+ c = {}
+ d[42] = 0
+ return b % 2
+\end{PlaceholderPathFromCode}
+\end{verbatim}
+%% The code cannot be placed inside codeexample as it needs to parse the body:
+\begin{PlaceholderPathFromCode}[.py]{__MYLIB__}
+def my_function(b): # this is a python code
+ c = {}
+ d[42] = 0
+ return b % 2
+\end{PlaceholderPathFromCode}
+You can then use it like:
+\begin{codeexample}[width=0pt,vbox]
+\printAllPlaceholdersExceptDefaults
+You can also get the path relative to the root folder:\\
+\robExtAddCachePath{\getPlaceholderNoReplacement{__MYLIB__}}\\
+As a sanity check, this file contains
+\verbatiminput{\robExtAddCachePath{\getPlaceholderNoReplacement{__MYLIB__}}}
+\end{codeexample}
+\end{pgfmanualentry}
+
+
+\begin{pgfmanualentry}
+ \extractcommand\copyPlaceholder\marg{new placeholder}\marg{old placeholder}\@@
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/copy placeholder=\marg{new placeholder}\marg{old placeholder}\@nil
+ \makeatother%
+ \pgfmanualbody
+
+ This creates a new placeholder with the content of |old placeholder|. Note that this is different from:\\
+ |\setPlaceholder{new placeholder}{old placeholder}|\\
+ because if we modify |old placeholder|, this will not affect |new placeholder|.
+\begin{codeexample}[width=0pt,vbox]
+ \setPlaceholder{__MY_CONTENT__}{Some content}
+ \copyPlaceholder{__MY_OLD_CONTENT__}{__MY_CONTENT__}
+ \setPlaceholder{__MY_CONTENT__}{The content used to be __MY_OLD_CONTENT__}
+ \printAllPlaceholdersExceptDefaults
+\end{codeexample}
+ It is useful for instance if you want to use a different value for |__ROBEXT_MAIN_CONTENT__|: first copy |__ROBEXT_MAIN_CONTENT__| to another placeholder, say |__NEW_MAIN_CONTENT__|, and then set |__ROBEXT_MAIN_CONTENT__| to point to an arbitrary template that may load |__NEW_MAIN_CONTENT__|.
+\end{pgfmanualentry}
+
+
+\subsection{Caching a content}
+
+\subsubsection{Basics}
+
+\begin{pgfmanualentry}
+ \extractcommand\cacheMe\opt{\oarg{preset style}}\marg{content to cache}\@@
+ \extractenvironement{CacheMe}\marg{preset style}\@@
+ \pgfmanualbody
+ This command (and its environment alias) is the main entry point if you want to cache the result of a file. The preset style is a pgfkeys-based style that is used to configure the template that is used, the compilation command, and more. You can either inline the style, or use some presets that configure the style automatically. After evaluating the style, the placeholders |__ROBEXT_TEMPLATE__| (containing the content of the file) and |__ROBEXT_COMPILATION_COMMAND__| (containing the compilation command run in the cache folder, that can use other placeholders internally like |__ROBEXT_SOURCE_FILE__| to get the path to the source file) should be set. Note that we provide some basic styles that allow settings these placeholders easily. See \cref{sec:placeholders} for a list of existing placeholders and presets. The placeholder |__ROBEXT_MAIN_CONTENT__| will automatically be set by this command (or environment) so that it equals the content of the second argument (or the body of the environment). This style can also configure the command to use to include the file and more. By default it will insert the compiled PDF, making sure that the depth is respected (internally, we read the depth from an aux file created by our \LaTeX{} preset), but you can easily change it to anything you like.
+
+ For an educational purpose, we write here an example that does not exploit any preset. In practice, we recommend however to use our presets, or to define new presets based on our presets (see below for examples).
+\begin{codeexample}[width=0pt,vbox]
+\begin{CacheMe}{set template={
+ \documentclass{standalone}
+ \begin{document}
+ __ROBEXT_MAIN_CONTENT__
+ \end{document}
+ },
+ set compilation command={pdflatex -shell-escape -halt-on-error "__ROBEXT_SOURCE_FILE__"},
+ custom include command={%
+ \includegraphics[width=4cm,angle=45]{\robExtAddCachePathAndName{\robExtFinalHash.pdf}}%
+ },
+ }
+This content is cached $\delta$.
+\end{CacheMe}
+\end{codeexample}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \extractcommand\robExtConfigure\marg{preset style}\@@
+ \pgfmanualbody
+ You can then create your own style (or preset) in |\robExtConfigure| (that is basically an alias for |\pgfkeys{/robExt/.cd,#1}|) containing your template, add your own placeholders and commands to configure them etc.
+
+\begin{codeexample}[width=0pt,vbox]
+%% Define your presets once:
+\robExtConfigure{%
+ my latex preset/.style={
+ %% Create a default value for my new placeholders:
+ set placeholder={__MY_COLOR__}{red},
+ set placeholder={__MY_ANGLE__}{45},
+ % We can also create custom commands to "hide" the notion of placeholder
+ set my angle/.style={
+ set placeholder={__MY_ANGLE__}{##1}
+ },
+ set template={
+ \documentclass{standalone}
+ \usepackage{xcolor}
+ \begin{document}
+ \color{__MY_COLOR__}__ROBEXT_MAIN_CONTENT__
+ \end{document}
+ },
+ set compilation command={pdflatex -shell-escape -halt-on-error "__ROBEXT_SOURCE_FILE__"},
+ custom include command={%
+ % The include command is a regular LaTeX command, but using
+ % \evalPlaceholder avoids the need to play with expandafter, getPlaceholder etc...
+ \evalPlaceholder{%
+ \includegraphics[width=4cm,angle=__MY_ANGLE__,origin=c]{%
+ \robExtAddCachePathAndName{\robExtFinalHash.pdf}%
+ }%
+ }%
+ },
+ },
+}
+
+% Reuse them later...
+\begin{CacheMe}{my latex preset}
+This content is cached $\delta$.
+\end{CacheMe}
+% And configure them at will
+\begin{CacheMe}{my latex preset, set placeholder={__MY_COLOR__}{green}, set my angle=-45}
+This content is cached $\delta$.
+\end{CacheMe}
+\end{codeexample}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \extractenvironement{CacheMeCode}\marg{preset style}\@@
+ \pgfmanualbody
+ Like |CacheMe|, except that the code is read verbatim by \LaTeX{}. This way, you can put non-\LaTeX{} code inside safely, but you will not be able to use it inside a macro or some environments that read their body. Here is an example where we define an environment that automatically import matplotlib, save the figure, and insert it into a figure. Note that we define in this example new commands to type |set caption=foo| instead of |set placeholder={__FIG_CAPTION__}{foo}|.
+%% codeexample cannot deal with verbatim content
+
+\begin{codeexample}[code only]
+%% Define the python code to use as a template
+%% (impossible to define it in \robExtConfigure directly since
+%% it is a verbatim environment)
+\begin{PlaceholderFromCode}{__MY_MATPLOTLIB_TEMPLATE__}
+import matplotlib.pyplot as plt
+import sys
+__ROBEXT_MAIN_CONTENT__
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{PlaceholderFromCode}
+
+% Create a new preset called matplotlib
+\robExtConfigure{
+ matplotlib figure/.style={
+ set template={__MY_MATPLOTLIB_TEMPLATE__},
+ set compilation command={python "__ROBEXT_SOURCE_FILE__"},
+ set caption/.style={
+ set placeholder={__FIG_CAPTION__}{##1}
+ },
+ set label/.style={
+ set placeholder={__FIG_LABEL__}{##1}
+ },
+ set includegraphics options/.style={
+ set placeholder={__INCLUDEGRAPHICS_OPTIONS__}{##1}
+ },
+ set caption={},
+ set label={},
+ set includegraphics options={width=1cm},
+ custom include command={%
+ \evalPlaceholder{%
+ \begin{figure}
+ \centering
+ \includegraphics[__INCLUDEGRAPHICS_OPTIONS__]{\robExtAddCachePathAndName{\robExtFinalHash.pdf}}%
+ \caption{__FIG_CAPTION__a}
+ \label{__FIG_LABEL__}
+ \end{figure}%
+ }%
+ },
+ },
+}
+
+%% Use it
+\begin{CacheMeCode}{matplotlib figure, set includegraphics options={width=.8\linewidth}, set caption={Hello}}
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+\end{CacheMeCode}
+\end{codeexample}
+
+%% Define the python code to use as a template
+%% (impossible to define it in \robExtConfigure directly since
+%% it is a verbatim environment)
+\begin{PlaceholderFromCode}{__MY_MATPLOTLIB_TEMPLATE__}
+import matplotlib.pyplot as plt
+import sys
+__ROBEXT_MAIN_CONTENT__
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{PlaceholderFromCode}
+
+% Create a new preset called matplotlib
+\robExtConfigure{
+ matplotlib figure/.style={
+ set template={__MY_MATPLOTLIB_TEMPLATE__},
+ set compilation command={python "__ROBEXT_SOURCE_FILE__"},
+ set caption/.style={
+ set placeholder={__FIG_CAPTION__}{##1}
+ },
+ set label/.style={
+ set placeholder={__FIG_LABEL__}{##1}
+ },
+ set includegraphics options/.style={
+ set placeholder={__INCLUDEGRAPHICS_OPTIONS__}{##1}
+ },
+ set caption={},
+ set label={},
+ set includegraphics options={width=1cm},
+ custom include command={%
+ \evalPlaceholder{%
+ \begin{figure}
+ \centering
+ \includegraphics[__INCLUDEGRAPHICS_OPTIONS__]{\robExtAddCachePathAndName{\robExtFinalHash.pdf}}%
+ \caption{__FIG_CAPTION__}
+ \label{__FIG_LABEL__}
+ \end{figure}%
+ }%
+ },
+ },
+}
+
+%% Use it
+\begin{CacheMeCode}{matplotlib figure, set includegraphics options={width=.8\linewidth}, set caption={An example to show how matplotlib pictures can be inserted}}
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+\end{CacheMeCode}
+
+Note that as we explained it before, due to \LaTeX{} limitations, it is impossible to call |CacheMeCode| inside macros and inside some environments that evaluate their body. To avoid that issue, it is always possible to define the macro before and call it inside. We will exemplify this on the previous example, but note that \textbf{this example is only for educational purposes} since the environment |figure| does not evaluate its body, and |CacheMeCode| can therefore safely be used inside without using this trickery:
+\begin{codeexample}[code only]
+%% Define the python code to use as a template
+%% (impossible to define it in \robExtConfigure directly since
+%% it is a verbatim environment)
+\begin{PlaceholderFromCode}{__MY_MATPLOTLIB_TEMPLATE__}
+import matplotlib.pyplot as plt
+import sys
+__ROBEXT_MAIN_CONTENT__
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{PlaceholderFromCode}
+
+% Create a new preset called matplotlib
+\robExtConfigure{
+ matplotlib/.style={
+ set template={__MY_MATPLOTLIB_TEMPLATE__},
+ set compilation command={python "__ROBEXT_SOURCE_FILE__"},
+ set includegraphics options/.style={
+ set placeholder={__INCLUDEGRAPHICS_OPTIONS__}{##1}
+ },
+ set includegraphics options={width=1cm},
+ custom include command={%
+ \evalPlaceholder{%
+ \includegraphics[__INCLUDEGRAPHICS_OPTIONS__]{\robExtAddCachePathAndName{\robExtFinalHash.pdf}}%
+ }%
+ },
+ },
+}
+
+
+%% You cannot use CacheMeCode inside some macros or environments due to fundamental LaTeX limitations.
+%% But you can always define them before, and call them inside:
+\begin{SetPlaceholderCode}{__TMP__}
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+\end{SetPlaceholderCode}
+
+\begin{figure}
+ \centering
+ \cacheMe[matplotlib, set includegraphics options={width=.8\linewidth}, set caption={Hello}]{__TMP__}
+ \caption{An example to show how code can be inserted into macros or environments that evaluate their contents (this trick is actually not needed for figures)}
+\end{figure}
+\end{codeexample}
+\end{pgfmanualentry}
+
+
+\subsubsection{Options to configure the template}
+
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set template=\marg{content template}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Style that alias to |set placeholder={__ROBEXT_TEMPLATE__}{#1}|, in order to define the placeholder that will hold the template of the final file.
+\end{pgfmanualentry}
+
+\subsubsection{Options to configure the compilation command}\label{sec:configureCompilationCommand}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set compilation command=\marg{compilation command}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Style that alias to |set placeholder={__ROBEXT_COMPILATION_COMMAND__}{#1}|, in order to define the placeholder that will hold the compilation command.
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/add argument to compilation command=\marg{argument}\@nil
+ \extractkey/robExt/add arguments to compilation command=\marg{argument}\@nil
+ \makeatother%
+ \pgfmanualbody
+ |add argument to compilation command| is a style that alias to:\\
+ |set placeholder={__ROBEXT_COMPILATION_COMMAND__}{__ROBEXT_COMPILATION_COMMAND__ "#1"}|
+ in order to add an argument to the compilation command. |add arguments to compilation command| (note the |s|) accepts multiple arguments separated by a comma.
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/add key value argument to compilation command=\marg{key=value}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Adds to the command line two arguments |key| and |value|. This is a way to quickly pass arguments to a script: the script just needs to loop over the arguments and consider the odd elements as keys and the next elements as the value. Another option is to insert some placeholders directly in the script.
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/add key and file argument to compilation command=\marg{key=filename}\@nil
+ \makeatother%
+ \pgfmanualbody
+ |filename| is the path to a file in the root folder. This adds, as:\\
+ |add key value argument to compilation command|\\
+ two arguments, where the first argument is the key, but this time the second argument is the path of |filename| relative to the cache folder (useful since scripts run from this folder). Moreover, it automatically ensures that when |filename| changes, the file gets recompiled. Note that contrary to some other commands, this does not copy the file in the cache, which is practical notably for large files like videos.
+\end{pgfmanualentry}
+
+\subsubsection{Options to configure the inclusion command}
+
+The inclusion command is the command that is run to include the cached file back in the pdf (e.g. based on |\includegraphics|). We describe now how to configure this command.
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/custom include command advanced=\marg{include command}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Sets the command to run to include the compiled file. You can use:\\
+ |\robExtAddCachePathAndName{\robExtFinalHash.pdf}|\\
+ in order to get the path of the compiled pdf file. Note that we recommend rather to use |custom include command| that automatically checks if the file compiled correctly and that load the |*-out.tex| file if it exists (useful to pass information back to the pdf).
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/custom include command=\marg{include command}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Sets the command to run to include the compiled file, after checking if the file has been correctly compiled and loading |*-out.tex| (useful to pass information back to the pdf).
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/do not include pdf\@nil
+ \makeatother%
+ \pgfmanualbody
+ Do not include the pdf. Useful if you only want to compile the file but use it later (note that you should still generate a |.pdf| file, possibly empty, to indicate that the compilation runs smootly). Equivalent to:\\
+ |custom include command={}|
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/enable manual mode\@nil
+ \extractkey/robExt/disable manual mode\@nil
+ \makeatother%
+ \pgfmanualbody
+ If you do or do not want to ask latex to run the compilation commands itself (for instance for security
+ reasons), you can use these commands and run the command manually later:
+ \begin{codeexample}[width=0pt,vbox]
+ \robExtConfigure{
+ enable manual mode
+ }
+
+ The next picture must be manually compiled %
+ (see JOBNAME-robExt-compile-missing-figures.sh):\\ %
+ \begin{tikzpictureC}[baseline=(A.base)][]
+ \node[fill=red, rounded corners](A){I must be manually compiled.};
+ \node[fill=red, rounded corners, opacity=.3,overlay] at (A.north east){I am an overlay text};
+ \end{tikzpictureC}
+ \end{codeexample}
+
+ See \cref{sec:operationsCache} for more details.
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/include graphics args\@nil
+ \makeatother%
+ \pgfmanualbody
+ By default, the include commands runs |\includegraphics| on the pdf, and possibly raises it if needed. You can customize the arguments passed to |\includegraphics| here.
+\end{pgfmanualentry}
+
+\subsubsection{Configuration of the cache}
+
+If needed, you can configure the cache:
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set filename prefix=\marg{prefix}\@nil
+ \makeatother%
+ \pgfmanualbody
+ By default, the files in the cache starts with |robExt-|. If needed you can change this here, or by manually defining |\def\robExtPrefixFilename{yourPrefix-}|.
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set subfolder and way back=\marg{cache folder}\marg{path to project from cache}\@nil
+ \makeatother%
+ \pgfmanualbody
+ By default, the cache is located in |robustExternalize/|, using:\\
+ |set subfolder and way back={robustExternalize/}{../},|\\
+ You can customize it the way you want, just be make sure that going to the second arguments after going to the first argument leads you back to the original position.
+\end{pgfmanualentry}
+
+\newpage
+\subsubsection{Customize or disable externalization}\label{sec:disableExternalization}
+
+You might want (sometimes or always) to disable externalization, for instance to use |remember picture| \tikz[remember picture,baseline=(pointtome.base)] \node[rounded corners, fill=orange](pointtome){Point to me if you can};, even if you used |\robExtExternalizeAllTikzpictures|:
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/disable externalization\@nil
+ \extractkey/robExt/enable externalization\@nil
+ \makeatother%
+ \pgfmanualbody
+ Enable or disable externalization.
+ \begin{codeexample}[width=0pt,vbox]
+ % In theory all pictures should be externalized (so remember picture should fail)
+ \robExtExternalizeAllTikzpictures
+ % But we can disable it temporarily
+ \begin{tikzpicture}[remember picture][disable externalization]
+ \node[rounded corners, fill=red](A){This figure is not externalized.
+ This way, it can use remember picture.};
+ \draw[->,overlay] (A) to[bend right] (pointtome);
+ \end{tikzpicture}\\
+
+ % You can also disable it globally/in a group:
+ {
+ \robExtConfigure{disable externalization}
+
+ \begin{tikzpicture}[remember picture]
+ \node[rounded corners, fill=red](A){This figure is not externalized.
+ This way, it can use remember picture.};
+ \draw[->,overlay] (A.west) to[bend left] (pointtome);
+ \end{tikzpicture}\\
+
+ \begin{tikzpicture}[remember picture]
+ \node[rounded corners, fill=red](A){This figure is not externalized.
+ This way, it can use remember picture.};
+ \draw[->,overlay] (A.east) to[bend right] (pointtome);
+ \end{tikzpicture}
+ }
+ \end{codeexample}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/command if no externalization\@nil
+ \makeatother%
+ \pgfmanualbody
+ You can easily change the command to run if externalization is disabled using by setting the \textbf{.code} of this key. By default, it is configured as:\\
+\begin{verbatim}
+command if no externalization/.code={%
+ \robExtDisableTikzpictureOverwrite\evalPlaceholder{__ROBEXT_MAIN_CONTENT__}%
+}
+\end{verbatim}
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/print verbatim if no externalization\@nil
+ \makeatother%
+ \pgfmanualbody
+ Sets |command if no externalization| to print the verbatim content of |__ROBEXT_MAIN_CONTENT__| if externalization is disabled. Internally, it just sets it to:\\
+ |\printPlaceholder{__ROBEXT_MAIN_CONTENT__}|\\
+ This is mostly useful when typesetting |__ROBEXT_MAIN_CONTENT__| directly does not make sense (e.g. in python code). This style is used for instance in the |python| preset, allowing us to get:
+
+\begin{codeAndResult}
+\begin{CacheMeCode}{python,
+ verbatim output,
+ set placeholder eval={__thepage__}{\thepage},
+ %% We disable externalization
+ disable externalization}
+with open("__ROBEXT_OUTPUT_PREFIX__-out.txt", "w") as f:
+ for i in range(5):
+ f.write(f"Hello {i}, we are on page __thepage__\n")
+\end{CacheMeCode}
+\end{codeAndResult}
+
+You can also disable the externalization on all elements that use a common preset, for instance you can disable externalization on all |bash| instances (useful if you are on Windows for instance):
+\begin{codeAndResult}
+\robExtConfigure{
+ % bash code will not be compiled (useful on windows for instance)
+ bash/.append style={
+ disable externalization
+ },
+}
+\begin{CacheMeCode}{bash, verbatim output}
+# $outputTxt contains the path of the file that will be printed via \verbatiminput
+uname -srv > "${outputTxt}"
+\end{CacheMeCode}
+\end{codeAndResult}
+
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/execute after each externalization\@nil
+ \extractkey/robExt/execute before each externalization\@nil
+ \makeatother%
+ \pgfmanualbody
+ By doing |execute after each externalization={some code}|, you will run some code after the externalization. This might be practical for instance to update a counter (e.g. the number of pages\dots) based on the result of the compiled file.
+\end{pgfmanualentry}
+
+\subsubsection{Dependencies}
+
+In order to enforce reproducibility, you should tell what are the files that your code depends on, by adding this file as a dependency. This has the advantage that if this file is changed, your code is automatically recompiled. On the other hand, you might not want this behavior (e.g. if this file often changes in a non-important way): in that case, just don't add the file as a dependency (but keep that in mind as you might not be able to recompile your file if you clear the cache if you introduced breaking changes).
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/dependencies=\marg{list,of,dependencies}\@nil
+ \extractkey/robExt/add dependencies=\marg{list,of,dependencies}\@nil
+ \extractkey/robExt/reset dependencies\@nil
+ \makeatother%
+ \pgfmanualbody
+ Set/add/reset the dependencies (you can put multiple files separated by commas). These files should be relative to the main compiled file. For instance, if you have a file |common_inputs.tex| that you want to input in both the main file and in the cached files, that contains, say:\\
+ |\def\myValueDefinedInCommonInputs{42}|\\
+ then you can add it as a dependency using:
+\begin{codeexample}[width=0pt,vbox]
+\begin{CacheMe}{latex,
+ add dependencies={common_inputs.tex},
+ add to preamble={\input{__ROBEXT_WAY_BACK__/common_inputs.tex}}}
+ The answer is \myValueDefinedInCommonInputs.
+\end{CacheMe}
+\end{codeexample}
+Note that the placeholder |__ROBEXT_WAY_BACK__| contains the path from the cache folder (containing the |.tex| that will be cached) to the root folder.\\ This way, you can easily input files contained in the root folder.
+\end{pgfmanualentry}
+
+
+\subsubsection{Pass compiled file to another template}
+
+It can sometimes be handy to use the result of a previous cached file to cache another file, or to do anything else (e.g.\ it can also be practical to debug an issue). |name output| can be used to do that
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/name output=\marg{macro name}\@nil
+ \makeatother%
+ \pgfmanualbody
+ |name output=foo| will create two global macros |\foo| and |\fooInCache|: |\foo| expands to the prefix of the files created in the template like |robExt-somehash|, and |\fooInCache| also adds the cache folder like |robustExternalize/robExt-somehash|. You can then use |set placeholder eval| to send it to another cached file. It is then your role to add the extension, usually |.tex| to get the source (even if the source is a python file), |.pdf| to get the pdf, |-out.tex| to get the file that is loaded before the import, |-out.txt| if you wanted to make it compatible with |verbatim output| (this list is not exhaustive as each script might decide to create a different output file). Here is a demo:
+
+\begin{codeexample}[width=0cm,vbox]
+\begin{CacheMe}{tikz, do not add margins, name output=mycode}[baseline=(A.base)]
+ \node[draw,rounded corners,fill=pink!60](A){Hello World!};
+\end{CacheMe}\\[3mm]
+
+The prefix is \texttt{\mycode} and with the cache folder it is in:\\
+\texttt{\mycodeInCache}.\\
+It this can be helpful for instance to debug, as you can inspect the source:
+\verbatiminput{\mycodeInCache.tex}
+but it is also practical to define a template based on the previously cached files:\\
+
+\begin{CacheMe}{tikz, set placeholder eval={__previous__}{\mycode.pdf}}
+ \node[rounded corners, fill=green!50]{A cached file can use result from another cached file:
+ \includegraphics[width=2cm]{__previous__}\includegraphics[width=2cm]{__previous__}};
+\end{CacheMe}
+\end{codeexample}
+
+Note that if you do not want to display the first cached file, you can use |do not include pdf| to hide it.
+
+\end{pgfmanualentry}
+
+
+\subsection{Default presets}\label{sec:presets}
+
+We provide by default some presets for famous languages (for now \LaTeX{} and python).
+
+\subsubsection{All languages}
+
+First, here are a few options that are available irrespective of the used language.
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/set includegraphics options=\marg{options}\@nil
+ \extractkey/robExt/add to includegraphics options=\marg{options}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Set/add options to the |\includegraphics| run when inserting the pdf (by the default include command). By default it is empty, but the |latex| preset sets it to:\\
+ |trim=__ROBEXT_LATEX_TRIM_LENGTH__ __ROBEXT_LATEX_TRIM_LENGTH__|\\
+ |__ROBEXT_LATEX_TRIM_LENGTH__ __ROBEXT_LATEX_TRIM_LENGTH__|\\
+ in order to remove the margin added in the standalone package options, which is needed to display overlay texts.
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/verbatim output\@nil
+ \makeatother%
+ \pgfmanualbody
+ Shortcut for:
+\begin{verbatim}
+custom include command={%
+ \evalPlaceholder{%
+ __ROBEXT_VERBATIM_COMMAND__{%
+ __ROBEXT_CACHE_FOLDER____ROBEXT_OUTPUT_PREFIX__-out.txt}%
+ }%
+},
+\end{verbatim}
+ i.e.\ instead of printing the pdf we print the content of the file |__ROBEXT_OUTPUT_PREFIX__-out.txt| using the command in |__ROBEXT_VERBATIM_COMMAND__|, that defaults to |\verbatiminput|:
+\begin{codeAndResult}
+\begin{CacheMeCode}{python, verbatim output}
+with open("__ROBEXT_OUTPUT_PREFIX__-out.txt", "w") as f:
+ for i in range(5):
+ f.write(f"Hello {i}\n")
+\end{CacheMeCode}
+\end{codeAndResult}
+\end{pgfmanualentry}
+
+
+\subsubsection{\LaTeX{}}
+
+The |latex| preset is used to cache any \LaTeX{} content, like tikz pictures. Note that as of today, it supports overlay content out of the box (if the overlay is more than 30cm long, you might want to customize a placeholder), but not images that need to use |remember picture|.
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/latex\@nil
+ \makeatother%
+ \pgfmanualbody
+ This style sets the template |__ROBEXT_LATEX__| and the compilation command:\\ |__ROBEXT_COMPILATION_COMMAND_LATEX__|\\
+ (cf \cref{sec:placeholders} for details), and adds a number of styles described below, to easily configure the most common options. You can use it as follows:
+ \begin{codeexample}[width=0pt,vbox]
+ The next picture is cached %
+ \begin{CacheMe}{latex, add to preamble={\usepackage{tikz}}}
+ \begin{tikzpicture}[baseline=(A.base)]
+ \node[fill=red, rounded corners](A){My node that respects baseline.};
+ \node[fill=red, rounded corners, opacity=.3,overlay] at (A.north east){I am an overlay text};
+ \end{tikzpicture}
+ \end{CacheMe} and you can see that overlay and depth works.
+ \end{codeexample}
+\end{pgfmanualentry}
+
+To see how to create your own preset or automatically load a library, see \cref{sec:customize}.
+
+The next options can be used after calling the |latex| style:
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/latex/use latexmk\@nil
+ \extractkey/robExt/latex/use lualatex\@nil
+ \extractkey/robExt/latex/use xelatex\@nil
+ \makeatother%
+ \pgfmanualbody
+ Use latexmk/lualatex/xelatex to compile. It is a shortcut for:\\
+ |set placeholder={__ROBEXT_LATEX_ENGINE__}{yourfavoriteengine}|
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/latex/set latex options=\marg{latex options}\@nil
+ \extractkey/robExt/latex/add to latex options=\marg{latex options}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Set/add elements to the set of latex options of the |\documentclass| (it will automatically add a comma before if you add an element). Internally it sets |__ROBEXT_LATEX_OPTIONS__|. By default, it sets:\\
+ |margin=__ROBEXT_LATEX_TRIM_LENGTH__|
+ (where |__ROBEXT_LATEX_TRIM_LENGTH__| is defined as 30cm by default) in order to add a margin that will be trimmed later in the |\includegraphics|. This is useful not to cut stuff displayed outside of the bounding box (overlays).
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/latex/set documentclass=\marg{documentclass}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Set the documentclass of the document (defaults to |standalone|). Internally, it sets the placeholder |__ROBEXT_DOCUMENT_CLASS__|.
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/latex/set preamble=\marg{code of preamble}\@nil
+ \extractkey/robExt/latex/add to preamble=\marg{code of preamble}\@nil
+ \makeatother%
+ \pgfmanualbody
+ Set/add element to the preamble (defaults to |standalone|). Internally, it sets the placeholder |__ROBEXT_DOCUMENT_CLASS__|.
+\end{pgfmanualentry}
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/latex/do not wrap code\@nil
+ \makeatother%
+ \pgfmanualbody
+ By default, the main content is wrapped into a box in order to measure its depth to properly set the baseline. If you do not want to do this wrapping, you can set this option. Internally, it is a shortcut for:\\
+ |set placeholder={__ROBEXT_MAIN_CONTENT_WRAPPED__}{__ROBEXT_MAIN_CONTENT__}|
+\end{pgfmanualentry}
+
+\subsubsection{Python}
+
+We provide support for python:
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/python\@nil
+ \makeatother%
+ \pgfmanualbody
+ Load the |python| preset (inspect |__ROBEXT_PYTHON__|) for details on the exact template, but note that this template might be subject to changes. We also provide a few helper functions:
+ \begin{itemize}
+ \item |write_to_out(text)| writes |text| to the |*-out.tex| file that will be loaded automatically before running the include function
+ \item |parse_args()| is a function that returns a dictionary mapping some keys to values depending on the called arguments: for instance, if you call the python file with |python script key1 value1 key2 value2|, then the dictionary will map |key1| to |value1| and |key2| to |value2|. You might like this in conjunction with commands presented in \cref{sec:configureCompilationCommand}. Note that if you place placeholders in your code, you might not need this, but this is used if you plan to use your script outside of this library.
+ \item |get_cache_folder()| outputs the cache folder.
+ \item |get_file_base()| outputs the prefix of all files that should be created by this script, that looks like |robExt-somehash|.
+ \item |get_current_script()| returns the current script.
+ \item |get_filename_from_extension(extension)| outputs the prefix |robExt-somehash| concatenated with the extension. You often need this function to get the path of a file that your script is creating, for instance, |get_filename_from_extension("-out.txt")| is the path |*-out.txt| of the file that is read by |verbatim output|.
+ \item |get_verbatim_output()| returns |get_filename_from_extension("-out.txt")|
+ \item |finished_with_no_error()| creates the pdf file if it does not exists (to certify that the compilation ran without issues). The template automatically runs this function at the end.
+ \end{itemize}
+ We demonstrate its usage on a few examples:
+\begin{codeAndResult}
+\begin{CacheMeCode}{python, verbatim output}
+with open(get_verbatim_output(), "w") as f:
+ for i in range(5):
+ f.write(f"Hello {i}\n")
+\end{CacheMeCode}
+\end{codeAndResult}
+
+\textbf{Importantly: you do not want to indent the whole content of CacheMeCode, or the spaces will also appear in the final code.}
+
+You can also generate some images. This code will produce the image in \cref{fig:pythonGeneratedImage2}:
+\begin{codeexample}[code only]
+\begin{CacheMeCode}{python, set includegraphics options={width=.8\linewidth}}
+import matplotlib.pyplot as plt
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{CacheMeCode}
+\end{codeexample}
+{\begin{figure}
+\centering
+\begin{CacheMeCode}{python, set includegraphics options={width=.8\linewidth}}
+import matplotlib.pyplot as plt
+year = [2014, 2015, 2016, 2017, 2018, 2019]
+tutorial_count = [39, 117, 111, 110, 67, 29]
+plt.plot(year, tutorial_count, color="#6c3376", linewidth=3)
+plt.xlabel('Year')
+plt.ylabel('Number of futurestud.io Tutorials')
+plt.savefig("__ROBEXT_OUTPUT_PDF__")
+\end{CacheMeCode}
+\caption{Image generated with python.}
+\label{fig:pythonGeneratedImage2}
+\end{figure}
+}
+
+Note that by default, the executable called |python| is run. It seems like on windows |python3| is not created and only |python| exists, while on linux the user can choose whether |python| should point to |python3| or |python2| (on NixOs, I directly have |python| pointing to |python3|, and in ubuntu, you might need to install |python-is-python3| or create a symlink, as explained \href{https://askubuntu.com/questions/1296790/python-is-python3-package-in-ubuntu-20-04-what-is-it-and-what-does-it-actually}{here}). In any case, you can customize the name of the executable by setting something like:
+\begin{verbatim}
+\setPlaceholder{__ROBEXT_PYTHON_EXEC__}{python3}
+\end{verbatim}
+or using the style |force python3| that forces |python3|.
+\end{pgfmanualentry}
+
+
+\begin{pgfmanualentry}
+ \makeatletter%
+ \def\extrakeytext{style, }
+ \extractkey/robExt/python print code and result\@nil
+ \makeatother%
+ \pgfmanualbody
+ This is a demo style that can print a python code and its result.
+\begin{codeAndResult}
+\begin{CacheMeCode}{python print code and result, set title={The for loop}}
+for name in ["Alice", "Bob"]:
+ print(f"Hello {name}")
+\end{CacheMeCode}
+\end{codeAndResult}
+You can set |__ROBEXT_PYTHON_TCOLORBOX_PROPS__| the options of the tcolorbox,\\ |__ROBEXT_PYTHON_CODE_MESSAGE__| and |__ROBEXT_PYTHON_RESULT_MESSAGE__| which are displayed before the corresponding block, |__ROBEXT_PYTHON_LSTINPUT_STYLE__| which contains the default lstinput style and |__MY_TITLE__| (cf |set title|) that contains the title of the box. Make sure to have the following packages to use the default styling:
+\begin{verbatim}
+\usepackage{pythonhighlight}
+\usepackage{tcolorbox}
+\end{verbatim}
+\end{pgfmanualentry}
+
+
+
+
+
+\subsubsection{Bash}
+
+We provide a basic bash template, that sets:
+\begin{verbatim}
+set -e
+outputTxt="__ROBEXT_OUTPUT_PREFIX__-out.txt"
+outputTex="__ROBEXT_OUTPUT_PREFIX__-out.tex"
+outputPdf="__ROBEXT_OUTPUT_PDF__"
+\end{verbatim}
+in order to quit when an error occurs, and to define two variables containing the path to the |pdf| file and to the file that is read by the |verbatim output| setting (that just apply a |\verbatiminput| on that file). Finally, it also creates the file |outputPdf| with |touch| in order to notify that the compilation succeeded.
+
+In practice:
+\begin{codeAndResult}
+\begin{CacheMeCode}{bash, verbatim output}
+# $outputTxt contains the path of the file that will be printed via \verbatiminput
+uname -srv > "${outputTxt}"
+\end{CacheMeCode}
+\end{codeAndResult}
+
+\subsubsection{Verbatim text}
+
+Sometimes, it might be handy to write the text to a file and use it somehow. This is possible using |verbatim text|, that defaults to calling |\verbatiminput| on that file:
+
+\begin{codeAndResult}
+\begin{CacheMeCode}{verbatim text}
+def some_verbatim_fct(a):
+ # See this is a verbatim code where I can use the % symbol
+ return a % b
+\end{CacheMeCode}
+\end{codeAndResult}
+
+You can also call |verbatim text no include|: it will not include the text, but it sets a macro |\robExtPathToInput| containing the path to the input file. Use it the way you like! For instance, we define here a macro |codeAndResult| that prints the code and runs it (we use a pretty printer from pgf, so you need to load |\usepackage{tikz}\input{pgfmanual-en-macros.tex}| to use it). It is what we use right now in this documentation for verbatim blocks like here. You can obtain a simpler version using:
+
+\begin{codeAndResult}
+\begin{CacheMeCode}{verbatim text no include}
+\NewDocumentCommand{\testVerbatim}{+v}{
+\begin{flushleft}\ttfamily%
+#1
+\end{flushleft}}
+\testVerbatim{Demo % with percent}
+\end{CacheMeCode}
+We will input the file \robExtPathToInput{}:
+\input{\robExtPathToInput}
+This file contains:
+\verbatiminput{\robExtPathToInput}
+\end{codeAndResult}
+
+\subsection{List of special placeholders and presets}\label{sec:placeholders}
+
+This library defines a number of pre-existing placeholders, or placeholders playing a special role. We list some of them in this section. All placeholders created by this library start with |__ROBEXT_|. Note that you can list all predefined placeholders (at least those globally defined) using |\printAllPlaceholdersExceptDefaults| (note that some other placeholders might be created directly in the style set right before the command, and may not appear in this list if you call it before setting the style).
+
+\subsubsection{Generic placeholders}
+
+We define two special placeholders that should be defined by the user (possibly indirectly, using presets offered by this library):
+\begin{itemize}
+\item |__ROBEXT_TEMPLATE__| is a placeholder that should contain the code of the file to compile.
+\item |__ROBEXT_MAIN_CONTENT__|: is a placeholder that might be used inside |__ROBEXT_TEMPLATE__| and that contains the content that the user is expected to type inside the document. For instance, this might be a tikz picture, a python function without the import etc. This will be automatically set by |CacheMe|, |CacheMeCode| etc, and some styles might add stuff to it (for instance the |tikz| preset adds the |\begin{tikzpicture}| around the user code automatically: this way we do not need to edit the command to disable externalization).
+\item |__ROBEXT_COMPILATION_COMMAND__| contains the compilation command to run to compile the file (assuming we are in the cache folder).
+\end{itemize}
+
+We also provide a number of predefined placeholders in order to get the name of the source file etc... Note that most of these placeholders are defined (and/or expanded inplace) late during the compilation stage as one needs first to obtain the hash of the file, and therefore all dependencies, the content of the template etc.
+\begin{itemize}
+\item |__ROBEXT_SOURCE_FILE__| contains the path of the file to compile (containing the content of |__ROBEXT_TEMPLATE__|) like |robExt-somehash.tex|, relative to the cache folder (since we always go to this folder before doing any action, you most likely want to use this directly in the compilation command).
+\item |__ROBEXT_OUTPUT_PDF__| contains the path of the pdf file produced after the compilation command relative to the cache folder (like |robExt-somehash.pdf|). Even if you do not plan to output a pdf file, you should still create that file at the end of the compilation so that this library can know whether the compilation succeeded.
+\item |__ROBEXT_OUTPUT_PREFIX__| contains the prefix that all newly created file should follow, like |robExt-somehash|. If you want to create additional files (e.g. a picture, a video, a console output etc...) make sure to make it start with this string. It will not only help to ensure purity, but it also allows us to garbage collect useless files easily.
+\item |__ROBEXT_WAY_BACK__| contains the path to go back to the main project from the cache folder, like |../| (internally it is equals to the expanded value of |\robExtPrefixPathWayBack|).
+\item |__ROBEXT_CACHE_FOLDER__| contains the path to the cache folder. Since most commands are run from the cache folder, this should not be really useful to the user.
+\end{itemize}
+
+You can also use these placeholders to customize the default include function:
+\begin{itemize}
+\item |__ROBEXT_INCLUDEGRAPHICS_OPTIONS__| contains the options given to |\includegraphics| when loading the pdf
+\item |__ROBEXT_INCLUDEGRAPHICS_FILE__| contains the file loaded by |\includegraphics|, defaults to |\robExtAddCachePathAndName{\robExtFinalHash.pdf}|, that is itself equivalent to |__ROBEXT_CACHE_FOLDER____ROBEXT_OUTPUT_PDF__| or\\|__ROBEXT_CACHE_FOLDER____ROBEXT_OUTPUT_PREFIX__.pdf|.
+\end{itemize}
+
+\subsubsection{Placeholders related to \LaTeX{}}
+Some placeholders are reserved only when dealing with \LaTeX{} code:
+\begin{itemize}
+\item |__ROBEXT_LATEX__| is the main entrypoint, containing all the latex template. It internally calls other placeholders listed below.
+\item |__ROBEXT_LATEX_OPTIONS__|: contains the options to compile the document, like |a4paper|. Empty by default.
+\item |__ROBEXT_DOCUMENT_CLASS__|: contains the class of the document. Defaults to |standalone|.
+\item |__ROBEXT_PREAMBLE__|: contains the preamble. Is empty by default.
+\item |__ROBEXT_MAIN_CONTENT_WRAPPED__|: content inside the |document| environment. It will wrap the actual content typed by the user |__ROBEXT_MAIN_CONTENT__| around a box to compute its depth. If you do not want this behavior, you can set |__ROBEXT_MAIN_CONTENT_WRAPPED__| to be equal to |__ROBEXT_MAIN_CONTENT__|. It calls internally |__ROBEXT_CREATE_OUT_FILE__| and |__ROBEXT_WRITE_DEPTH_TO_OUT_FILE__| to do this computation.
+\item |__ROBEXT_CREATE_OUT_FILE__| creates a new file called |\jobname-out.tex| and open it in the handle called |\writeRobExt|
+\item |__ROBEXT_WRITE_DEPTH_TO_OUT_FILE__| writes the height, depth and width of the box |\boxRobExt| into the filed opened in |\writeRobExt|.
+\item |__ROBEXT_COMPILATION_COMMAND_LATEX__| is the command used to compile a \LaTeX{} document. It uses internally other placeholders:
+\item |__ROBEXT_LATEX_ENGINE__| is the engine used to compile the document (defaults to |pdflatex|)
+\item |__ROBEXT_COMPILATION_COMMAND_OPTIONS__| contains the options used to compile the document (defaults to |-shell-escape -halt-on-error|)
+\end{itemize}
+
+\subsubsection{Placeholders related to python}
+
+\begin{itemize}
+\item |__ROBEXT_PYTHON_EXEC__| contains the python executable (defaults to |python|) used to compile
+\item |__ROBEXT_PYTHON__| contains the python template
+\item |__ROBEXT_PYTHON_IMPORT__| can contain import statements
+\item |__ROBEXT_PYTHON_MAIN_CONTENT_WRAPPED__| is used to add all the above functions. You can set it to |__ROBEXT_MAIN_CONTENT__| if you do not want them
+\item |__ROBEXT_PYTHON_FINISHED_WITH_NO_ERROR__| is called at the end to create the pdf file even if it is not created, you can set it to the empty string if you do not want to do that.
+\end{itemize}
+
+\subsubsection{Placeholders related to bash}
+
+\begin{itemize}
+\item |__ROBEXT_BASH_TEMPLATE__| contains the bash template. By default, it sets |set -e|, creates |outputTxt|, |outputTex| and |outputPdf| pointing to the corresponding files, and it created the pdf file at the end.
+\item |__ROBEXT_SHELL__| contains the shell (defaults to |bash|).
+\end{itemize}
+
+
+\subsection{Customize presets and create your own style}\label{sec:customize}
+
+Note that you can define your own presets simply by creating a new pgf style (please refer to tikz-pgf's documentation for more details). For instance, we defined the |tikz| style using:
+\begin{codeexample}[code only]
+\robExtConfigure{
+ tikz/.style={
+ latex,
+ add to preamble={\usepackage{tikz}},
+ add before placeholder no space={__ROBEXT_MAIN_CONTENT__}{\begin{tikzpicture}},
+ add to placeholder no space={__ROBEXT_MAIN_CONTENT__}{\end{tikzpicture}},
+ },
+}
+\end{codeexample}
+in order to automatically load |tikz| and add the surrounding |tikzpicture| (note that the style is always loaded \textbf{after} the definition of |__ROBEXT_MAIN_CONTENT__|, you can therefore do any postprocessing you like on this placeholder). You can also customize an existing style by adding stuff to it using |.append style|. For instance, here, we add the |shadows| library to the |tikz| preset by default:
+\begin{codeexample}[width=0pt,vbox]
+ \robExtConfigure{
+ tikz/.append style={
+ add to preamble={\usetikzlibrary{shadows}},
+ },
+ }
+ See, tikz's style now packs the |shadows| library by default: %
+ \begin{CacheMe}{tikz}[even odd rule]
+ \filldraw [drop shadow,fill=white] (0,0) circle (.5) (0.5,0) circle (.5);
+ \end{CacheMe}
+\end{codeexample}
+
+
+\subsection{Operations on the cache}\label{sec:operationsCache}
+
+Every time we compile a document, we create automatically a bunch of files:
+\begin{itemize}
+\item the cache is located by default in the |robustExternalize| folder. Feel free to remove this folder if you want to completely clear the cache (but then you need to recompile everything). See below if you want to clean it in a better way.
+\item |\jobname-robExt-all-figures.txt| contains the list of all figures contained in the document. Mostly useful to help the script that remove other figures.
+\item |robExt-remove-old-figures.py| is a python script that will remove all cached files that are not used anymore. Just run |python robExt-remove-old-figures.py| to clean it. You will then see the list of files that the script wants to remove: make sure it does not remove any important data, and press ``y''. Note that it will search for all files that look like |*robExt-all-figures.txt| to see the list of pictures that are still in use, and by default it will only remove the images in the |robustExternalize| folder that start with |robExt-|. If you change the path of the cache or the prefix, edit the script (should not be hard to do).
+\item |\jobname-robExt-compile-missing-figures.sh| contains a list of commands that you need to run to compile the images not yet compiled in the cache (this list will only be created if you enable the manual compilation mode).
+\item |\jobname-robExt-tmp-file-you-can-remove.tmp| is a temporary file. Feel free to remove it.
+\end{itemize}
+
+We go over some of these scripts.
+
+\subsubsection{Cleaning the cache}
+
+You might want to clean the cache. Of course you can remove all generated files, but if you want to keep the picture in use in the latest version of the document, we provide a python script (automatically generated in the root folder) to do this. Just install python3 and run:\\
+
+|python3 robExt-remove-old-figures.py|\\
+
+(on windows, the executable might be called |python|) You will then be prompted for a confirmation after providing the list of files that will be removed.
+
+\subsubsection{Listing all figures in use}
+
+After the compilation of the document, a file |robExt-all-figures.txt| is created with the list of the |.tex| file of all figures used in the current document.
+
+\subsubsection{Manually compiling the figures}
+
+When enabling the manual mode (useful if we don't want to enable |-shell-escape|):
+
+\begin{verbatim}
+\robExtConfigure{
+ enable manual mode
+}
+\end{verbatim}
+
+the library creates a file |JOBNAME-robExt-compile-missing-figures.sh| that contains the instructions to build the figures that are not yet in the cache (each line contains the compilation command to run). On Linux (or on Windows with bash/cygwin/… installed, it possibly even work out of the box without) you can easily execute them using:
+
+\begin{verbatim}
+bash JOBNAME-robExt-compile-missing-figures.sh
+\end{verbatim}
+
+
+\subsection{How to debug}
+
+If for some reasons you are unable to understand why a build fails, first check if you compiled your document with |-shell-escape| (not that this must appear \textbf{before} the filename). Then, you can look at the log file to get more advices: when a cached document is compiled, we always write the full compilation command before compiling the file in the log file. This way, you can easily check the content of the file and see why it fails to compile. The compilation errors are also displayed directly in the output.
+
+You might often get an error |! Missing $ inserted.|: this is typically when a placeholder was left unreplaced (e.g.\ you forgot to define it, or you forgot to wrap a command in |\evalPlaceholder{}|): since \LaTeX{} is asked to typeset |__something__|, it thinks that you are trying to write a subscript, and asks you to start first the math mode.
+
+\section{TODO and known bugs:}
+
+\begin{itemize}
+\item See how to deal with label and references inside pictures (without disabling externalization).
+\item We should create more pre-made settings, e.g. for tikz-cd, zx-calculus etc.
+\item Deal with remember picture
+\end{itemize}
+
+\section{Acknowledgments}
+
+I am deeply indebted to many users on \url{tex.stackexchange.com} that made the writing of this library possible. I can't list you all, but thank you so much!
+
+\end{document}
+% Local Variables:
+% TeX-command-extra-options: "-shell-escape -halt-on-error"
+% End: \ No newline at end of file