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add precalc examples
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‎dtxTests/graph/calc.tex‎

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\documentclass{ximera}
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\title{Extra graph test}
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\begin{document}
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\begin{abstract}
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Tests/Demo for the graph command.
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\end{abstract}
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\maketitle
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%% Default \begin{tikzpicture} options
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\tikzset{
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xmGraphTikz/.style={},
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panel/.style={},
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% xmDesmosWidth/.code 2 args={\def\xmDesmosWidth{#2}}, % sets a macro when applied
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% xmDesmosWidth/.default=600, % pixels
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% xmDesmosHeight/.code 2 args={\def\xmDesmosHeight{#2}}, % sets a macro when applied
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% xmDesmosHeight/.default=300, % pixels
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}
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%% Default \begin{axis} options
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\pgfplotsset{
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xmGraphPlotAxis/.style={
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xlabel={$x$}, % x-axis label
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ylabel={$y$}, % y-axis label
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axis lines=middle,
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axis equal image,
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axis line style={->},
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% panel,
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},
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panel/.code={\def\xmGraphShowPanel{true}}, % sets a macro when applied
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% xmGraphShowDesmos/.code={\def\xmGraphShowDesmos{true}}, % sets a macro when applied
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% % xmGraphShowDesmos/.default={true},
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% xmGraphNoDesmos/.code={\let\xmGraphShowDesmos\undefined},
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% % xmGraphShowDesmos,
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xmGraphShowCommand/.code={\def\xmGraphShowCommand{true}}, % sets a macro when applied
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% xmGraphShowTikZ/.code={\def\xmGraphShowTikZ{true}}, % sets a macro when applied
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% xmGraphNoTikZ/.code={\let\xmGraphShowTikZ\undDefInEd}, % sets a macro when applied
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xmDesmosWidth/.store in=\xmDesmosWidth,
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xmDesmosWidth/.default=600px,
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xmDesmosHeight/.store in=\xmDesmosHeight,
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xmDesmosHeight/.default=300px,
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}
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% \pgfkeys{
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% /pgfplots/xmGraphShowDesmos/.store in=\xmGraphShowDesmos,
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% /pgfplots/xmGraphShowDesmos/.initial=false, % initial default
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% /pgfplots/xmGraphShowDesmos/.default=true, % if used as 'xmGraphShowDesmos' -> true
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% /pgfplots/xmGraphNoDesmos/.code={% explicit "off"
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% \pgfkeyssetvalue{/pgfplots/xmGraphShowDesmos}{false}%
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% },
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% }
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\def\xmGraphShowDesmos{true} % default NOT inside the style: DOES NOT WORK
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% \pgfplotsset{
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% % plot-level style
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% xmGraphPlot/.style={
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% /pgfplots/.cd, % <- ensures keys are interpreted as pgfplots keys
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% domain=-2:2,
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% samples=50,
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% thick,
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% },
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% % axis-level style
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% xmGraphPlotAxis/.style={
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% /pgfplots/.cd,
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% xmin=-2.3, xmax=2.3,
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% ymin=-1, ymax=4,
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% axis equal image,
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% axis lines=middle,
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% axis line style=->,
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% }
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% }
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\ExplSyntaxOn
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% Helper function to process each item
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%%% The 'multi'-part, with f(x),g(x,f(x), does NOT yet work )
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\cs_new_protected:Nn \__multiplot_get_function:n {
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% Check if the item contains slashes (legend and/or options separator)
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% IN 2025 ? \seq_set_split_with_nested:nnnN { / } { | | } { #1 } \l_tmpa_seq
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\seq_set_split:Nnn \l_tmpa_seq { // } { #1 }
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\int_case:nn { \seq_count:N \l_tmpa_seq } {
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{ 1 } {
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% No legend, no options: just plot function
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#1
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}
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{ 2 } {
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\seq_pop_left:NN \l_tmpa_seq \l_tmpa_tl % function
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\l_tmpa_tl
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}
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{ 3 } {
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\seq_pop_left:NN \l_tmpa_seq \l_tmpa_tl % function
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\l_tmpa_tl
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}
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}
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}
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\cs_new_protected:Nn \__multiplot_process:nn {
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% Check if the item contains slashes (legend and/or options separator)
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% IN 2025 ? \seq_set_split_with_nested:nnnN { / } { | | } { #1 } \l_tmpa_seq
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\seq_set_split:Nnn \l_tmpa_seq { // } { #2 }
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\int_case:nn { \seq_count:N \l_tmpa_seq } {
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{ 1 } {
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% No legend, no options: just plot function
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\addplot[xmGraphPlot, #1] { #2 };
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}
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{ 2 } {
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% Has legend: plot function and add legend entry
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\seq_pop_left:NN \l_tmpa_seq \l_tmpa_tl % function
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\seq_pop_left:NN \l_tmpa_seq \l_tmpb_tl % legend
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\addplot[xmGraphPlot, #1] { \l_tmpa_tl };
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% Only add legend if not empty
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%\tl_if_empty:NF \l_tmpb_tl {
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\addlegendentry{\l_tmpb_tl}
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%}
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}
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{ 3 } {
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% Has legend and options: plot function with custom options
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\seq_pop_left:NN \l_tmpa_seq \l_tmpa_tl % function
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\seq_pop_left:NN \l_tmpa_seq \l_tmpb_tl % legend
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\seq_pop_left:NN \l_tmpa_seq \l_tmpc_tl % options
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\addplot[xmGraphPlot, #1, \l_tmpc_tl] { \l_tmpa_tl };
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% Only add legend if not empty
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\tl_if_empty:NF \l_tmpb_tl {
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\addlegendentry{\l_tmpb_tl}
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}
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}
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}
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}
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\cs_new_protected:Nn \xmultiplot:nn {
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\clist_map_inline:nn { #2 } {
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\__multiplot_process:nn { #1 } { ##1 }
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}
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}
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\NewDocumentCommand \xmGraphPlot { o m } { \xmultiplot:nn {#1} {#2} }
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\NewDocumentCommand \xmGraphGetFunction { m } { \__multiplot_get_function:n {#1} }
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\ProvideDocumentCommand \xmGraphLegend { m } {}
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\ProvideDocumentCommand \xmGraphExtra { m } {}
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\ExplSyntaxOff
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\newcommand\GetKeyFromStyle[2]{%
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\pgfkeys{/pgfplots/.cd,#1}%
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\pgfkeysvalueof{/pgfplots/#2}%
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}
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\newcommand\GetPGFplotsKeyFromStyle[2]{%
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% #1 = style name
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% #2 = key name
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% Save current value (to restore if undefined)
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\pgfkeys{/pgfplots/.cd,#1}%
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\pgfkeys{/pgfplots/#1} % executes the style code
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\typeout{KEY #2 in #1}
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% Try global key first
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\pgfkeysifdefined{/pgfplots/#2}{%
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\pgfkeysvalueof{/pgfplots/#2}%
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\typeout{KEY found: #2 in #1: \pgfkeysvalueof{/pgfplots/#2}}
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}{%
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% Try axis key
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\pgfkeysifdefined{/pgfplots/axis/#2}{%
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\pgfkeysvalueof{/pgfplots/axis/#2}%
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\typeout{KEY found in axis: #2 in #1: \pgfkeysvalueof{/pgfplots/axis/#2}}
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}{%
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% Try dummy option
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\pgfkeysifdefined{/mydymmyoption/#2}{%
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\pgfkeysvalueof{/mydymmyoption/#2}%
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\typeout{KEY found dummyoption: #2 in #1: \pgfkeysvalueof{/mydymmyoption/#2}}
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}
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{
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% Key not found → return empty
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\typeout{KEY not found: #2 in #1}
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}%
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}%
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}
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}
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\makeatletter
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\renewcommand\GetPGFplotsKeyFromStyle[2]{%
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% #1 = style name
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% #2 = key name
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\pgfkeys{/pgfplots/.cd,#1}% activate style
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%\typeout{KEY #2 in #1}
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\pgfkeysifdefined{/pgfplots/#2}{%
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\pgfkeysvalueof{/pgfplots/#2}%
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% \typeout{KEY found: #2 in #1: \pgfkeysvalueof{/pgfplots/#2}}
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}{%
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\pgfkeysifdefined{/pgfplots/axis/#2}{%
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\pgfkeysvalueof{/pgfplots/axis/#2}%
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%\typeout{KEY axis found: #2 in #1: \pgfkeysvalueof{/pgfplots/#2}}
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}{%
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%\pgfkeysifdefined{/pgfplots/.@cmd/#2}{TRUE}{FALSE}%
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% undefined → return empty
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}%
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}%
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}
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\makeatother
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\makeatletter
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% #1 = macro to store value
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% #2 = style name
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% #3 = key name
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\newcommand\GetPGFplotsKeyFromStyleToMacro[3]{%
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%\begingroup
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\def#1{}% initialize macro to empty
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\pgfkeys{/pgfplots/.cd,#2}% activate the style
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% Try normal key
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\pgfkeysifdefined{/pgfplots/#3}{%
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\pgfkeysgetvalue{/pgfplots/#3}{#1}%
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}{%
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% Try axis key
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\pgfkeysifdefined{/pgfplots/axis/#3}{%
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\pgfkeysgetvalue{/pgfplots/axis/#3}{#1}%
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}{%
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% Key not found → leave empty
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\def#1{}%
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}%
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}%
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%\endgroup
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}
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\makeatother
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\renewcommand{\graph}[2][]{
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\begingroup
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\ifdefined\xmGraphShowDesmos % generic tikz-options confuse the pgfkeys ...
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%\typeout{SETTING tmpstyle (\xmGraphShowDesmos\ for #1)}
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\pgfplotsset{ %% The #1 will process the additional options, so that \xmGraphShowTikZ works !!!
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tmpstyle/.style={
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/pgfplots/xmGraphPlot, % apply plot keys
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/pgfplots/xmGraphPlotAxis, % apply axis keys
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% /pgfplots/.cd, % ensure any extra keys are interpreted in pgfplots
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#1 % allow overrides
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}
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}
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\pgfkeys{/pgfplots/.cd,#1}% activate style
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\else
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%\typeout{SKIPPING tmpstyle for #1}
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\fi
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\ifdefined\HCode
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\HCode{<div class="xmdesmos">}
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\else
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\def\xmGraphShowTikZ{true} %% ALWAYS show TikZ in PDF !!!
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\fi
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\ifdefined\xmGraphShowCommand
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\ifdefined\HCode
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% \HCode{<h1> Command: \string\graph[#1]{#2} </h1> }
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\else
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% {\Large\bf With options #1 }
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\fi
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\fi
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\ifdefined\HCode\ifdefined\xmGraphShowDesmos
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% \pgfplotsset{
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% xxxxtmpstyle/.style = {
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% /pgfplots/.append style={xmGraphPlot} % apply xmGraphPlot in axis context
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% /pgfplots/axis/.append style={xmGraphPlotAxis} % apply xmGraphPlot in axis context
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% /pgfplots/axis/.append style={#1} % apply xmGraphPlot in axis context
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% },
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% }
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% \GetPGFplotsKeyFromStyleToMacro{\myval}{tmpstyle}{axis equal image}
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% axis equal image = \myval % prints "-2:2"
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% \GetPGFplotsKeyFromStyleToMacro{\myval}{tmpstyle}{xlabel}
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% xlabel = \myval % prints "-2:2"
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% xlabel = \HCode{\myval} % prints "-2:2"
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%\typeout{AXIS KEY: \GetPGFplotsKeyFromStyle{tmpstyle}{axis equal image}}
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% AXIS : \GetPGFplotsKeyFromStyle{tmpstyle}{axis equal image}
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% PANEL : \GetPGFplotsKeyFromStyle{tmpstyle}{panel}
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% XLABEL : \GetPGFplotsKeyFromStyle{tmpstyle}{xlabel}
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\HCode{<div class="desmos-placeholder" data-options="}
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%%% still an issue with $x$ vs x (Desmos prints the $'s !)
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% \GetPGFplotsKeyFromStyleToMacro{\myval}{tmpstyle}{xlabel}
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% xlabel=\HCode{\myval},
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% \GetPGFplotsKeyFromStyleToMacro{\myval}{tmpstyle}{ylabel}
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% ylabel=\HCode{\myval},
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% ylabel=\HCode{\GetPGFplotsKeyFromStyle{tmpstyle}{ylabel}},
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xmax=\GetPGFplotsKeyFromStyle{tmpstyle}{xmax},
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xmin=\GetPGFplotsKeyFromStyle{tmpstyle}{xmin},
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ymin=\GetPGFplotsKeyFromStyle{tmpstyle}{ymin},
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ymax=\GetPGFplotsKeyFromStyle{tmpstyle}{ymax},
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\ifdefined\xmGraphShowPanel panel=true, \fi
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\ifdefined\xmDesmosWidth xmDesmosWidth=\xmDesmosWidth, \fi
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\ifdefined\xmDesmosHeight xmDesmosHeight=\xmDesmosHeight, \fi
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\if\relax\detokenize\expandafter{\GetPGFplotsKeyFromStyle{tmpstyle}{axis equal image}}\relax
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axis equal image=true,
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\fi
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\HCode{" data-graph='}\detokenize{#2}\HCode{'"></div>}%
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\fi\fi%
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\ifdefined\xmGraphShowTikZ%
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\begin{tikzpicture}[xmGraphTikz]
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\begin{axis}[xmGraphPlotAxis,#1]
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\xmGraphPlot[]{#2}
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% \xmGraphPlot[#1]{#2}
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\xmGraphLegend{}
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\xmGraphExtra{}
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\end{axis}
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\end{tikzpicture}
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\fi
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\endgroup
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}
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\ExplSyntaxOn
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\bool_set_true:N \l__trace_errors_bool
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\ExplSyntaxOff
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\NewDocumentCommand{\xmgraph}{ O{} m }
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{
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% #1 = optional key-value options
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% #2 = the math expression (can include \frac, \sqrt, etc.)
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% Store argument verbatim
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\tl_set:Nn \l_tmpa_tl {#2}
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% Expand token list at use, safely passing to \graph
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\exp_args:No \graph [#1] {\l_tmpa_tl}
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}
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\ExplSyntaxOff
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% \newcommand{\xmgraph}[2][]{$\graph{#2}$}
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\pgfplotsset{
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xmGraphPlot/.append style={
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domain=-2:2,
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},
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% Axis-only keys go in a separate style
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xmGraphPlotAxis/.append style={
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xmin=-2.3,
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xmax=2.3,
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ymin=-1, ymax=4,
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% xmDesmosWidth=500px,
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% xmDesmosHeight=500px,
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% ymin, ymax, tick settings etc.
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}
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}
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% xmax=\GetPGFplotsKeyFromStyle{xmGraphPlot}{xmax}
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% xmax=\GetPGFplotsKeyFromStyle{xmGraphPlotAxis}{xmax}
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% \graph{x^2/2//function//blue}
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\def\xmGraphShowCommand{true}
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\graph[xmin=-7, xmax=5, ymin=-5, ymax=5]{\frac{4}{x+2},x=-2}
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\pgfplotsset{
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xmGraphPlot/.append style={
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domain=-2:2,
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},
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% Axis-only keys go in a separate style
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xmGraphPlotAxis/.append style={
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xmin=-2.3,
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xmax=2.3,
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ymin=-1, ymax=4,
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xmDesmosWidth =200px,
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xmDesmosHeight=200px,
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% ymin, ymax, tick settings etc.
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}
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}
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\graph[panel,xmin=-2.5, xmax=2.5,ymin=-0.5,ymax=8]{\frac{1}{x^2}}
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\graph[panel]{1/x^2, 1/x^4, 1/x^6, (1,1), (-1,1),x=2}
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\graph[panel,xmin=-2.5, xmax=2.5,ymin=-0.5,ymax=8]{\frac{1}{x^2}, \frac{1}{x^4}, \frac{1}{x^6}, (1,1), (-1,1)}
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\end{document}

‎dtxTests/graph/xourse.tex‎

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\maketitle
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\activity{graph}
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\activity{graph_extra}
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\activity{calc}
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\end{document}

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