我有以下 MWE：
\documentclass[]{article}
\usepackage{comment}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{xcolor}
% tikz-related packages
\usepackage{tikz}
\usepackage[edges]{forest}
\usepackage[outline]{contour}
\usetikzlibrary{hobby}
\usetikzlibrary{calc,intersections,through,backgrounds,matrix,patterns}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{fit,shapes.misc,arrows.meta}
\usepackage[normalem]{ulem}
\usepackage{pgfplots}
\usepackage{pgfplotstable}
\usepgfplotslibrary{fillbetween}
\pgfdeclarelayer{bg}
\pgfsetlayers{bg,main}
\usepackage{pdfpages}
% tikzset for fillbetween
\tikzset{
hatch distance/.store in=\hatchdistance,
hatch distance=10pt,
hatch thickness/.store in=\hatchthickness,
hatch thickness=0.3pt
}
% tikzset for tangents - this is the part I need to combine with the above tikzset
\begin{comment}
\tikzset{mark tangent intersections with axes/.code={
\path let \p1=(tangent point-#1),
\p2=($(tangent unit vector-#1)-(tangent point-#1)$)
in ({\x1-\y1*\x2/\y2},0) coordinate (x-intersection-#1)
(0,{\y1-\x1*\y2/\x2}) coordinate (y-intersection-#1);},
mark tangent intersections with axes/.default=1,
tangent/.style={
decoration={
markings,% switch on markings
mark= at position #1 with
{
\coordinate (tangent point-\pgfkeysvalueof{/pgf/decoration/mark info/sequence number}) at (0pt,0pt);
\coordinate (tangent unit vector-\pgfkeysvalueof{/pgf/decoration/mark info/sequence number}) at (1,0pt);
\coordinate (tangent orthogonal unit vector-\pgfkeysvalueof{/pgf/decoration/mark info/sequence number})
at (0pt,1);
}
},
postaction=decorate
},
use tangent/.style={
shift=(tangent point-#1),
x=(tangent unit vector-#1),
y=(tangent orthogonal unit vector-#1)
},
use tangent/.default=1,
}
\end{comment}
% for shading between lines
\makeatletter
\pgfdeclarepatternformonly[\hatchdistance,\hatchthickness]{northeast}
{\pgfqpoint{0pt}{0pt}}
{\pgfqpoint{\hatchdistance}{\hatchdistance}}
{\pgfpoint{\hatchdistance-1pt}{\hatchdistance-1pt}}%
{
\pgfsetcolor{\tikz@pattern@color}
\pgfsetlinewidth{\hatchthickness}
\pgfpathmoveto{\pgfqpoint{0pt}{0pt}}
\pgfpathlineto{\pgfqpoint{\hatchdistance}{\hatchdistance}}
\pgfusepath{stroke}
}
\pgfdeclarepatternformonly[\hatchdistance,\hatchthickness]{northwest}
{\pgfqpoint{0pt}{0pt}}
{\pgfqpoint{\hatchdistance}{\hatchdistance}}
{\pgfpoint{\hatchdistance-1pt}{\hatchdistance-1pt}}%
{
\pgfsetcolor{\tikz@pattern@color}
\pgfsetlinewidth{\hatchthickness}
\pgfpathmoveto{\pgfqpoint{\hatchdistance}{0pt}}
\pgfpathlineto{\pgfqpoint{0pt}{\hatchdistance}}
\pgfusepath{stroke}
}
\makeatother
\begin{document}
\begin{tikzpicture}
\draw[name path = axis] (0,5) --(0,0)--(5,0)--(5,5)--(0,5);
\draw [name path = B1, thick] (0,5)--(1,5)..controls (3,4) and (3.5,2)..(5,1)--(5,0);
\draw [name path = B2, thick] (0,5)--(0,4)..controls (1,3.5) and (2,1.5)..(4,0)--(5,0);
\draw [name path = B3, thick] (0,2.4)--(0,1)..controls (2,1) and (3,2.4)..(5,2.5);
\draw [name path = B4, thick] (0,2.4)..controls (2,2.4) and (3,3.8)..(5,3.8)--(5,2.5);
\path[name intersections={of = B2 and B4, by = I1}];
\path[name intersections={of = B1 and B3, by = I2}];
\begin{pgfonlayer}{bg}
\fill [pattern= northeast, hatch distance = 10pt,
intersection segments={of=B1 and B2,sequence={L2--R2}}];
\fill [pattern= northwest, hatch distance = 10pt,
intersection segments={of=B3 and B4,sequence={L2--R2}}];
\end{pgfonlayer}
% the following code will not work
%\draw[tangent=0.35] (1,-3)..controls (1,0) and (3,-3)..(3,0);
%\draw[mark tangent intersections with axes, red, dashed] (x-intersection-1) -- (y-intersection-1);
\end{tikzpicture}
\end{document}
请注意：
- 其中一个
tikzset被用来修改阴影线之间的距离。 tikzset环境中还包含另一个comment，我想使用它来为我提供tangent功能。- 在
tikzpicture文档中，最后有一个部分被注释掉了，因为如果没有环境中的 tikzset 它就无法工作comment。
我正在努力将这两个 tikzset 合并起来。我该怎么做？
答案1
我不太明白为什么你不能将它们组合起来使用,并放在一个中\tikzset（毕竟 tikzset 的参数是一个以逗号分隔的定义列表）。
此外，您的示例远非最小，您可能需要考虑使用您所包含的一些库，例如backgrounds。
\documentclass{article}
% tikz-related packages
\usepackage{tikz}
\usetikzlibrary{calc,intersections,backgrounds,patterns}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{arrows.meta}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween}
% tikzset for fillbetween
\tikzset{
hatch distance/.store in=\hatchdistance,
hatch distance=10pt,
hatch thickness/.store in=\hatchthickness,
hatch thickness=0.3pt,
mark tangent intersections with axes/.code={
\path let \p1=(tangent point-#1),
\p2=($(tangent unit vector-#1)-(tangent point-#1)$)
in ({\x1-\y1*\x2/\y2},0) coordinate (x-intersection-#1)
(0,{\y1-\x1*\y2/\x2}) coordinate (y-intersection-#1);},
mark tangent intersections with axes/.default=1,
tangent/.style={
decoration={
markings,% switch on markings
mark= at position #1 with
{
\coordinate (tangent point-\pgfkeysvalueof{/pgf/decoration/mark info/sequence number}) at (0pt,0pt);
\coordinate (tangent unit vector-\pgfkeysvalueof{/pgf/decoration/mark info/sequence number}) at (1,0pt);
\coordinate (tangent orthogonal unit vector-\pgfkeysvalueof{/pgf/decoration/mark info/sequence number})
at (0pt,1);
}
},
postaction=decorate
},
use tangent/.style={
shift=(tangent point-#1),
x=(tangent unit vector-#1),
y=(tangent orthogonal unit vector-#1)
},
use tangent/.default=1,
}
% for shading between lines
\makeatletter
\pgfdeclarepatternformonly[\hatchdistance,\hatchthickness]{northeast}
{\pgfqpoint{0pt}{0pt}}
{\pgfqpoint{\hatchdistance}{\hatchdistance}}
{\pgfpoint{\hatchdistance-1pt}{\hatchdistance-1pt}}%
{
\pgfsetcolor{\tikz@pattern@color}
\pgfsetlinewidth{\hatchthickness}
\pgfpathmoveto{\pgfqpoint{0pt}{0pt}}
\pgfpathlineto{\pgfqpoint{\hatchdistance}{\hatchdistance}}
\pgfusepath{stroke}
}
\pgfdeclarepatternformonly[\hatchdistance,\hatchthickness]{northwest}
{\pgfqpoint{0pt}{0pt}}
{\pgfqpoint{\hatchdistance}{\hatchdistance}}
{\pgfpoint{\hatchdistance-1pt}{\hatchdistance-1pt}}%
{
\pgfsetcolor{\tikz@pattern@color}
\pgfsetlinewidth{\hatchthickness}
\pgfpathmoveto{\pgfqpoint{\hatchdistance}{0pt}}
\pgfpathlineto{\pgfqpoint{0pt}{\hatchdistance}}
\pgfusepath{stroke}
}
\makeatother
\begin{document}
\begin{tikzpicture}
\draw[name path = axis] (0,5) --(0,0)--(5,0)--(5,5)--(0,5);
\draw [name path = B1, thick] (0,5)--(1,5)..controls (3,4) and (3.5,2)..(5,1)--(5,0);
\draw [name path = B2, thick] (0,5)--(0,4)..controls (1,3.5) and (2,1.5)..(4,0)--(5,0);
\draw [name path = B3, thick] (0,2.4)--(0,1)..controls (2,1) and (3,2.4)..(5,2.5);
\draw [name path = B4, thick] (0,2.4)..controls (2,2.4) and (3,3.8)..(5,3.8)--(5,2.5);
\path[name intersections={of = B2 and B4, by = I1}];
\path[name intersections={of = B1 and B3, by = I2}];
\begin{scope}[on background layer]
\fill [pattern= northeast, hatch distance = 10pt,
intersection segments={of=B1 and B2,sequence={L2--R2}}];
\fill [pattern= northwest, hatch distance = 10pt,
intersection segments={of=B3 and B4,sequence={L2--R2}}];
\end{scope}
\draw[tangent=0.35] (1,-3)..controls (1,0) and (3,-3)..(3,0);
\draw[mark tangent intersections with axes, red, dashed] (x-intersection-1) -- (y-intersection-1);
\end{tikzpicture}
\end{document}