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LaTeX 进阶/TikZ_Coordinate/2d_plot/2d_plot.sty

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+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{2d_plot/2d_plot}
+\RequirePackage{expl3, l3sys-shell}
+\RequirePackage{xparse}
+
+
+
+\ExplSyntaxOn
+% plot data's id(counter)
+\newcounter{gnu@plot@data@counter}
+\newcommand{\gnu@data@fullname}{}
+\bool_new:N \Change@Precise@Once
+
+
+%%%%%  the relative path there = path of '.tex' source file 
+%%%%% Bug: \file_if_exist can't check if a dir is exsits
+\sys_shell_now:n {mkdir~ ./2d_plot/gnuplot_output_data}
+
+
+
+% ----------------------------------------------------------------------
+%                       1.precision of plot
+% ----------------------------------------------------------------------
+\NewDocumentCommand\NormalPlotPrecise{O{once}m}{
+    \str_if_eq:nnTF {#1}{once}{
+        \bool_set_true:N \Change@Precise@Once
+    }{\relax}
+    \sys_shell_now:n {sed~ -i~ "3s|set~ samples~ .*|set~ samples~ #2|"~ ./2d_plot/Scripts/data_gen.gp}
+}
+\NewDocumentCommand\ParamPlotPrecise{O{once}m}{
+    \str_if_eq:nnTF {#1}{once}{
+        \bool_set_true:N \Change@Precise@Once
+    }{\relax}
+    \sys_shell_now:n {sed~ -i~ "3s|set~ samples~ .*|set~ samples~ #2|"~ ./2d_plot/Scripts/param_data_gen.gp}
+}
+
+
+
+
+
+% ----------------------------------------------------------------------
+%                     2.coordinate basic components
+% ----------------------------------------------------------------------
+% Example: \ShowPoint[radius=3pt, color=blue, opacity=.5] {(1, 1); (2, 2)}[text1; text2; text3][text style];
+\keys_define:nn { __Point__ }{
+    type    .tl_set:N  = \l__Point_type,
+    type    .initial:n = { circle },
+    radius  .dim_set:N = \l__Point_radius,
+    radius  .initial:n = { 1pt },
+    color   .tl_set:N  = \l__Point_color, 
+    color   .initial:n = { black },
+    opacity .tl_set:N  = \l__Point_opacity, 
+    opacity .initial:n = { 1 }   
+}
+\NewDocumentCommand\ShowPoint{ O{}mO{}O{} }{
+    % use the following to initial options each times if not in local group
+    %       \keys_set:nn { __Point__ } {color=black, opacity=1, type=circle, radius=1pt}
+    \group_begin:
+    \keys_set:nn { __Point__ } { #1 }
+    \seq_set_split:Nnn \l__point_param_ii_seq { ; }{#2}
+    \seq_set_split:Nnn \l__point_param_iii_seq { ; }{#3}
+    % ==> previous showpoint code without annotate=ion
+    % \seq_map_inline:Nn \l__point_param_ii_seq{
+    %     \fill[color=\l__Point_color, opacity=\l__Point_opacity] 
+    %         ##1 \l__Point_type(\dim_use:N \l__Point_radius);
+    % }
+    \int_step_inline:nnnn {1}{1}{\seq_count:N \l__point_param_ii_seq}{
+        \fill[color=\l__Point_color, opacity=\l__Point_opacity] 
+            \seq_item:Nn \l__point_param_ii_seq{##1} \l__Point_type(\dim_use:N \l__Point_radius)
+                node[#4]{\seq_item:Nn \l__point_param_iii_seq{##1}};
+    }
+    \group_end:
+}
+
+% Example: \ShowGrid[color=red, thick]{(-5, -5); (5, 5)}
+\NewDocumentCommand\ShowGrid{ O{color=gray, very~ thin, step=1}m }{
+    \seq_set_split:Nnn \l__grid_param_ii_seq { ; }{#2}
+    \draw[#1] \seq_item:Nn \l__grid_param_ii_seq{1}  grid \seq_item:Nn \l__grid_param_ii_seq{2};
+}
+
+% Example: \ShowAxis {(0, -8); (0, 8)}
+\NewDocumentCommand\ShowAxis{ O{color=black}m }{
+    \seq_set_split:Nnn \l__axis_param_ii_seq { ; }{#2}
+    \draw[->, #1] \seq_item:Nn \l__axis_param_ii_seq{1} -- \seq_item:Nn \l__axis_param_ii_seq{2};
+}
+
+% Example:\ShowIntersecions{exp; ellipse}{2}
+\NewDocumentCommand\ShowIntersecions{ omm }{
+    \seq_set_split:Nnn \l__intersection_num_seq { ; }{#2}
+    % get all intersections
+    \path[name~ intersections={of=\seq_item:Nn \l__intersection_num_seq{1}~ and~ \seq_item:Nn \l__intersection_num_seq{2}}]; 
+    % show all intersections by \ShowPoint
+    \int_step_inline:nnnn {1}{1}{#3}{
+        \ShowPoint[#1]{(intersection-##1)}
+    }
+}
+
+
+
+
+
+% ----------------------------------------------------------------------
+%                       3.2d function plot
+% ----------------------------------------------------------------------
+% normal 2d function
+\NewDocumentCommand\NormalPlot{O{color=black}O{-5:5}m}{
+    % step id of data
+    \stepcounter{gnu@plot@data@counter}
+    % sed gnuplot scripts
+    \sys_shell_now:n {sed~ -i~ "8s|set~ xr~ .*|set~ xr~ [#2]|"~ ./2d_plot/Scripts/data_gen.gp}
+    \sys_shell_now:n {sed~ -i~ "7s|f(x)~ =~ .*|f(x)~ =~ #3|"~ ./2d_plot/Scripts/data_gen.gp}
+    \sys_shell_now:n {gnuplot~ ./2d_plot/Scripts/data_gen.gp}
+    % data file rename
+    \renewcommand{\gnu@data@fullname}{data_gen_\the\value{gnu@plot@data@counter}.table}
+    \cs_generate_variant:Nn \sys_shell_mv:nn {nx}
+    \sys_shell_mv:nx {./2d_plot/gnuplot_output_data/data_gen.table}{./2d_plot/gnuplot_output_data/\gnu@data@fullname}
+    % draw function graph according to data in file
+    \draw[#1] plot[smooth] file {./2d_plot/gnuplot_output_data/\gnu@data@fullname};
+    % reset boolean and set to default precise
+    \bool_if:NTF \Change@Precise@Once{
+        \NormalPlotPrecise{500}
+    }{\relax}
+}
+
+% parametric 2d function
+\NewDocumentCommand\ParamPlot{O{color=black}O{-5:5}m}{
+    % step id of data
+    \stepcounter{gnu@plot@data@counter}
+    % sed gnuplot scripts
+    \sys_shell_now:n {sed~ -i~ "8s|set~ trange~ .*|set~ trange~ [#2]|"~ ./2d_plot/Scripts/param_data_gen.gp}
+    \sys_shell_now:n {sed~ -i~ "9s|plot~ .*|plot~ #3|"~ ./2d_plot/Scripts/param_data_gen.gp}
+    \sys_shell_now:n {gnuplot~ ./2d_plot/Scripts/param_data_gen.gp}
+    % data file rename
+    \renewcommand{\gnu@data@fullname}{param_data_gen_\the\value{gnu@plot@data@counter}.table}
+    \cs_generate_variant:Nn \sys_shell_mv:nn {nx}
+    \sys_shell_mv:nx {./2d_plot/gnuplot_output_data/param_data_gen.table}{./2d_plot/gnuplot_output_data/\gnu@data@fullname}
+    % draw function graph according to data in file
+    \draw[#1] plot[smooth] file {./2d_plot/gnuplot_output_data/\gnu@data@fullname};
+    % reset boolean and set to default
+    \bool_if:NTF \Change@Precise@Once{
+        \ParamPlotPrecise{500}
+    }{\relax}
+}
+\ExplSyntaxOff

LaTeX 进阶/TikZ_Coordinate/2d_plot/Scripts/data_gen.gp

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+set table "./2d_plot/gnuplot_output_data/data_gen.table"
+set format "%.5f"
+set samples 500
+
+
+# specific a 2d function
+f(x) = 3*sin(1/x)
+set xr [-6:-1]
+plot f(x)

LaTeX 进阶/TikZ_Coordinate/2d_plot/Scripts/param_data_gen.gp

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+set table "./2d_plot/gnuplot_output_data/param_data_gen.table"
+set format "%.5f"
+set samples 500
+set parametric
+
+
+# specific a parametric function
+set trange [0:2*pi]
+plot 7*sin(t), 4*cos(t)