我正在尝试将四个命令组合在一起,这些命令封装了tikzpicture
环境和使用tikzmark
,它们都有自己的键,但它们有很多共同的代码。命令如下:
\tkm@ncbara[key=val]{mark-A}{mark-B}{text}
\tkm@ncbarb[key=val]{mark-A}{mark-B}{text}
\tkm@bracea[key=val]{mark-A}{mark-B}{text}
\tkm@braceb[key=val]{mark-A}{mark-B}{text}
我创建了tkmdraw
如下命令:
\tkmdraw[ncbar-a, key val from ncbara]{mark-A}{mark-B}{text}
\tkmdraw[ncbar-b, key val from ncbarb]{mark-A}{mark-B}{text}
\tkmdraw[brace-a, key val from bracea]{mark-A}{mark-B}{text}
\tkmdraw[brace-a, key val from braceb]{mark-A}{mark-B}{text}
假设我认为向 tkmdraw 添加更多选项,但是,我认为我重复了很多代码,并且肯定有正确的方法来做到这一点,这是我的问题:
如何才能将四个(或更多)命令放在一个命令中,而不必重复使用那么多代码expl3
?
这是完整的示例文件(我无法缩小它):
% arara: pdflatex: {interaction: nonstopmode, draft: yes}
% arara: pdflatex: {interaction: nonstopmode}
% arara: clean: { extensions: [ aux, log, out ] }
\documentclass[10pt]{article}
\usepackage{amsmath,xparse,tikz}
\usetikzlibrary{tikzmark,arrows.meta,calc,decorations.pathreplacing}
\pagestyle{empty}
% Whidth for center node ... \TkM{name}{content}
\newlength{\MyL}
\newcommand*{\TkM}[2]{\settowidth{\MyL}{$\mathsurround0pt #2$}#2\hspace{-\MyL}\makebox[\MyL]{\pgfmark{#1}}}
\makeatletter
% active : for expl3
\def\@colon{:}
% default style for ncbar
\tikzset{tkmdraw/ncbar-a/.style={ >={Straight Barb[length=1.5pt,round]},
font=\footnotesize,color=gray,text=red,above=-3.5pt,},}
\tikzset{tkmdraw/ncbar-b/.style={ >={Straight Barb[length=1.5pt,round]},
font=\footnotesize,color=gray,text=red,below=-2.5pt,},}
% default style for brace
\tikzset{tkmdraw/brace-a/.style={ font=\footnotesize,color=gray,text=red,},}
\tikzset{tkmdraw/brace-b/.style={ font=\footnotesize,color=gray,text=red,},}
\ExplSyntaxOn
\keys_define:nn { tkmdraw/ncbar-a }
{
ncbar-a .bool_set:N = \l_tmpa_bool,
tikz .code:n = \tikzset{tkmdraw/ncbar-a/.append~style = {#1},},
tikz .initial:n = {},
tikz .value_required:n = true,
text .value_required:n = true,
font .value_required:n = true,
color .value_required:n = true,
above .value_required:n = true,
arrow .value_required:n = true,
text .meta:n = { tikz = { text = #1 }},
font .meta:n = { tikz = { font = #1 }},
color .meta:n = { tikz = { color = #1 }},
above .meta:n = { tikz = { above = #1 }},
arrows .meta:n = { tikz = { arrows = {#1} }},
vsep-A .dim_set:N = \l_ncbar_a_A_dim,
vsep-A .initial:n = 1.85ex,
vsep-B .dim_set:N = \l_ncbar_a_B_dim,
vsep-B .initial:n = 1.85ex,
height .dim_set:N = \l_ncbar_a_h_dim,
height .initial:n = 0.5em,
raise .meta:n = { vsep-A = #1 , vsep-B = #1 }
}
\NewDocumentCommand{\tkm@ncbara}{ O{} m m +m}
{
\group_begin:
\IfNoValueF {#1} { \keys_set:nn { tkmdraw/ncbar-a }{ #1 } }
\begin{tikzpicture}[overlay,remember~ picture,tkmdraw/ncbar-a]
\draw[<->]([yshift=\l_ncbar_a_A_dim]$(pic~ cs \@colon #2)$) -- ++(0,\l_ncbar_a_h_dim) -|
node[align=center,near~ start] {#4}
([yshift=\l_ncbar_a_B_dim]$(pic~ cs \@colon #3)$);
\end{tikzpicture}%
\group_end:
}
\keys_define:nn { tkmdraw/ncbar-b }
{
ncbar-b .bool_set:N = \l_tmpa_bool,
tikz .code:n = \tikzset {tkmdraw/ncbar-b/.append~style = {#1},},
tikz .initial:n = {},
tikz .value_required:n = true,
text .value_required:n = true,
font .value_required:n = true,
color .value_required:n = true,
above .value_required:n = true,
arrow .value_required:n = true,
text .meta:n = { tikz = { text = #1 }},
font .meta:n = { tikz = { font = #1 }},
color .meta:n = { tikz = { color = #1 }},
below .meta:n = { tikz = { below = #1 }},
arrows .meta:n = { tikz = { arrows = {#1} }},
vsep-A .dim_set:N = \l_ncbar_b_A_dim,
vsep-B .dim_set:N = \l_ncbar_b_B_dim,
height .dim_set:N = \l_ncbar_b_h_dim,
vsep-A .initial:n = -0.5ex,
vsep-B .initial:n = -0.5ex,
height .initial:n = -0.5em,
raise .meta:n = { vsep-A = #1 , vsep-B = #1 }
}
\NewDocumentCommand{\tkm@ncbarb}{ O{} m m +m}
{
\group_begin:
\IfNoValueF {#1} { \keys_set:nn { tkmdraw / ncbar-b }{ #1 } }
\begin{tikzpicture}[overlay,remember~ picture,tkmdraw/ncbar-b]
\draw[<->]([yshift=\l_ncbar_b_A_dim]$(pic~ cs \@colon #2)$) -- ++(0,\l_ncbar_b_h_dim) -|
node[align=center,near~ start] {#4}
([yshift=\l_ncbar_b_B_dim]$(pic~ cs \@colon #3)$);
\end{tikzpicture}%
\group_end:
}
\keys_define:nn { tkmdraw/brace-a }
{
brace-a .bool_set:N = \l_tmpa_bool,
tikz .code:n = \tikzset{tkmdraw/brace-a/.append~style = {#1},},
tikz .initial:n = {},
tikz .value_required:n = true,
text .meta:n = { tikz = { text = #1 }},
font .meta:n = { tikz = { font = #1 }},
color .meta:n = { tikz = { color = #1 }},
text .value_required:n = true,
font .value_required:n = true,
color .value_required:n = true,
above .dim_set:N = \l_brace_above_dim,
above .initial:n = 2.5pt,
above .value_required:n = true,
amplitude .dim_set:N = \l_brace_a_h_dim,
amplitude .initial:n = 0.4em,
amplitude .value_required:n = true,
vsep-A .dim_set:N = \l_brace_a_A_dim,
vsep-B .dim_set:N = \l_brace_a_B_dim,
vsep-A .initial:n = 1.85ex,
vsep-B .initial:n = 1.85ex,
raise .meta:n = { vsep-A = #1 , vsep-B = #1 }
}
\NewDocumentCommand{\tkm@bracea}{ O{} m m +m}
{
\group_begin:
\IfNoValueF {#1} { \keys_set:nn { tkmdraw / brace-a }{ #1 } }
\begin{tikzpicture}[overlay,remember~ picture,tkmdraw/brace-a]
\draw [decorate,decoration={brace, amplitude=\l_brace_a_h_dim}]
([yshift=\l_brace_a_A_dim]$(pic~ cs \@colon #2)$) -- ([yshift=\l_brace_a_B_dim]$(pic~ cs \@colon #3)$)
node [align=center,midway,above = \l_brace_above_dim] {#4};
\end{tikzpicture}
\group_end:
}
\keys_define:nn { tkmdraw/brace-b }
{
brace-b .bool_set:N = \l_tmpa_bool,
tikz .code:n = \tikzset{tkmdraw/brace-b/.append~style = {#1},},
tikz .initial:n = {},
tikz .value_required:n = true,
text .meta:n = { tikz = { text = #1 }},
font .meta:n = { tikz = { font = #1 }},
color .meta:n = { tikz = { color = #1 }},
text .value_required:n = true,
font .value_required:n = true,
color .value_required:n = true,
below .dim_set:N = \l_brace_below_dim,
below .initial:n = 2.5pt,
below .value_required:n = true,
amplitude .dim_set:N = \l_brace_b_h_dim,
amplitude .initial:n = 0.4em,
amplitude .value_required:n = true,
vsep-A .dim_set:N = \l_brace_b_A_dim,
vsep-B .dim_set:N = \l_brace_b_B_dim,
vsep-A .initial:n = -1ex,
vsep-B .initial:n = -1ex,
raise .meta:n = { vsep-A = #1 , vsep-B = #1 }
}
\NewDocumentCommand{\tkm@braceb}{ O{} m m +m}
{
\group_begin:
\IfNoValueF {#1} { \keys_set:nn { tkmdraw/brace-b }{ #1 } }
\begin{tikzpicture}[overlay,remember~ picture,tkmdraw/brace-b]
\draw [decorate,decoration={brace, mirror, amplitude=\l_brace_b_h_dim}]
([yshift=\l_brace_b_A_dim]$(pic~ cs \@colon #2)$) -- ([yshift=\l_brace_b_B_dim]$(pic~ cs \@colon #3)$)
node [align=center,midway,below = \l_brace_below_dim] {#4};
\end{tikzpicture}
\group_end:
}
\keys_define:nn { tkmdraw }
{
@ncbar-a .bool_set:N = \l_ncbar_a_bool,
@ncbar-b .bool_set:N = \l_ncbar_b_bool,
@brace-a .bool_set:N = \l_brace_a_bool,
@brace-b .bool_set:N = \l_brace_b_bool,
ncbar-a .meta:n = { @ncbar-a = true, @ncbar-b = false, @brace-a = false, @brace-b = false },
ncbar-b .meta:n = { @ncbar-b = true, @ncbar-a = false, @brace-a = false, @brace-b = false },
brace-a .meta:n = { @brace-a = true, @ncbar-b = false, @ncbar-a = false, @brace-b = false },
brace-b .meta:n = { @brace-b = true, @ncbar-b = false, @ncbar-a = false, @brace-a = false },
}
\NewDocumentCommand{\tkmdraw}{o m m +m}
{
\group_begin:
\tkmdraw_test_options:n { #1 }
\IfBooleanT{ \l_ncbar_a_bool } { \tkm@ncbara[#1]{#2}{#3}{#4} }
\IfBooleanT{ \l_ncbar_b_bool } { \tkm@ncbarb[#1]{#2}{#3}{#4} }
\IfBooleanT{ \l_brace_a_bool } { \tkm@bracea[#1]{#2}{#3}{#4} }
\IfBooleanT{ \l_brace_b_bool } { \tkm@braceb[#1]{#2}{#3}{#4} }
\group_end:
}
\cs_new_protected:Npn \tkmdraw_test_options:n #1
{
\str_case:xnF { \clist_item:nn { #1 } { 1 } }
{
{ncbar-a} { \keys_set:nn { tkmdraw } { ncbar-a } \keys_set:nn { tkmdraw/ncbar-a } {#1}}
{ncbar-b} { \keys_set:nn { tkmdraw } { ncbar-b } \keys_set:nn { tkmdraw/ncbar-b } {#1}}
{brace-a} { \keys_set:nn { tkmdraw } { brace-a } \keys_set:nn { tkmdraw/brace-a } {#1}}
{brace-b} { \keys_set:nn { tkmdraw } { brace-b } \keys_set:nn { tkmdraw/brace-b } {#1}}
}
{}
}
\cs_generate_variant:Nn \str_case:nnF { x }
\ExplSyntaxOff
\makeatother
\begin{document}
Whit \verb+\tkm@ncbara+ and \verb+\tkm@ncbarb+ command ... OK :)
\[ (\TkM{a1}{2}\TkM{a2}{p}q^{2})(\TkM{a3}{3}p\TkM{a4}{q})=6p^{2}q^{3} \]
\makeatletter
\tkm@ncbara[color=green,text=red,height= 0.3em]{a1}{a3}{ncbara}
\tkm@ncbarb[color=red,text=green,height= -0.3em]{a2}{a4}{ncbarb}
\makeatother
Whit \verb+\tkm@bracea+ and \verb+\tkm@braceb+ command ... OK :)
\[ (\TkM{b1}{2}\TkM{b2}{p}q^{2})(\TkM{b3}{3}p\TkM{b4}{q})=6p^{2}q^{3} \]
\makeatletter
\tkm@bracea[color=green,text=red, amplitude= 0.3em]{b1}{b3}{bracea}
\tkm@braceb[color=red,text=green, amplitude= 0.3em]{b2}{b4}{braceb}
\makeatother
\par\vspace{0.65cm}
Whit \verb+\tkmdraw[key=val]{...}+ command ... OK :)
\par\vspace{0.65cm}
% adapted from https://tex.stackexchange.com/a/76507/7832
\begin{align*}
(3{,}14 \times \TkM{c1}{10^{-2}}) + (1\TkM{c2}{{,}}2 \times \TkM{c3}{10^{-4}})
&= (3{,}14 \times \TkM{c4}{10^{-2}}) + (0\TkM{c5}{{,}}012 \times \TkM{c6}{10^{-2}})\\[3ex]
&= (3{,}14+0{,}012) \times 10^{-2}\\
&= \TkM{c7}{3}{,}152 \times \TkM{c8}{10}^{-2}
\end{align*}
\tkmdraw[ncbar-b,color=blue,text=red,raise=-3pt]{c1}{c3}{not equal}
\tkmdraw[ncbar-b,color=red,text=blue,raise=-3pt]{c4}{c6}{equal}
\tkmdraw[ncbar-a,color=red,text=blue]{c2}{c5}{The decimal is moved to the left \\ to increase the exponent}
\tkmdraw[brace-b,color=red,text=green, amplitude= 0.3em]{c7}{c8}{$0{,}30152$}
\end{document}
背后的想法是“模仿”一点,我曾经使用的旧代码pstricks
,我试图将我的文件移动到更兼容的东西(pdf/lua)latex
。
此致。
答案1
下面的代码实际上只是对 OP 中的代码进行了重新排列,并做了一些调整。不同之处在于:
- 整个
-a
和-b
都已更改为-above
和-below
。这是否更具可读性尚有争议,但这样做的主要动机是我可以#1=<length>
在括号命令中写入,其中#1
是“上方”或“下方” - 我已将括号的装饰代码放入
tkmdraw/brace-a*
样式设置中,这样括号命令就不需要设置这个 - 我已将
tkdraw/brace-*
和tkmdraw/ncbar-*
样式设置从tikzpicture
环境中移出并移到\draw[...]
命令中,因为我认为这是它应该出现的位置——而且这与上次更改配合得更好 - 我已经定义了命令
\DefineBarKeys
并\DefineBraceKeys
设置了横杠和括号键,这样这些代码块就不需要输入两次了 - 我已定义
\tkm@ncbar
和\tkm@brace
命令,它们负责完成横线和括号的大部分工作。尽管这两个命令很相似,但考虑到横线和括号之间的差异,我看不出有什么简单的方法可以组合这两个命令。
这些更改节省了大约 30 行代码,但更重要的是减少了代码重复。我认为输出没有变化:
修改后的代码如下:
\documentclass[10pt]{article}
\usepackage{amsmath,xparse,tikz}
\usetikzlibrary{tikzmark,arrows.meta,calc,decorations.pathreplacing}
\pagestyle{empty}
% Width for center node ... \TkM{name}{content}
\newlength{\MyL}
\newcommand*{\TkM}[2]{\settowidth{\MyL}{$\mathsurround0pt #2$}#2\hspace{-\MyL}\makebox[\MyL]{\pgfmark{#1}}}
\makeatletter
% default style for ncbar
\tikzset{
tkmdraw/ncbar-above/.style={
>={Straight Barb[length=1.5pt,round]},
font=\footnotesize,color=gray,text=red,above=-3.5pt,
},
tkmdraw/ncbar-below/.style={
>={Straight Barb[length=1.5pt,round]},
font=\footnotesize,color=gray,text=red,below=-2.5pt,
}
}
% default style for brace - amplitude set by \tkm@brace
\tikzset{
tkmdraw/brace-above/.style={
font=\footnotesize,color=gray, text=red,
decorate, decoration={brace, amplitude=#1}
},
tkmdraw/brace-below/.style={
font=\footnotesize,color=gray,text=red,
decorate, decoration={brace, mirror, amplitude=#1}
},
}
% active : for expl3
\def\@colon{:}
\ExplSyntaxOn
\cs_new_protected:Npn \__define_bar_keys:nnn #1#2#3 { % #1=above/below, #2=sep, #3=height
\keys_define:nn { tkmdraw/ncbar-#1 }
{
ncbar-#1 .bool_set:N = \l_tmpa_bool,
tikz .code:n = \tikzset {tkmdraw/ncbar-#1/.append~style = {##1},},
tikz .initial:n = {},
tikz .value_required:n = true,
text .value_required:n = true,
font .value_required:n = true,
color .value_required:n = true,
#1 .value_required:n = true,
arrow .value_required:n = true,
text .meta:n = { tikz = { text = ##1 }},
font .meta:n = { tikz = { font = ##1 }},
color .meta:n = { tikz = { color = ##1 }},
#1 .meta:n = { tikz = { #1 = ##1 }},
arrows .meta:n = { tikz = { arrows = {##1} }},
vsep-A .dim_set:c = {l_ncbar_#1_A_dim},
vsep-B .dim_set:c = {l_ncbar_#1_B_dim},
height .dim_set:c = {l_ncbar_#1_h_dim},
vsep-A .initial:n = #2,
vsep-B .initial:n = #2,
height .initial:n = #3,
raise .meta:n = { vsep-A = ##1 , vsep-B = ##1 }
}
}
\__define_bar_keys:nnn{above}{1.85ex}{0.5em}
\__define_bar_keys:nnn{below}{-0.5ex}{-0.5em}
\NewDocumentCommand{\tkm@ncbar}{ m m m m +m}
{
\group_begin:
\IfNoValueF {#2} { \keys_set:nn { tkmdraw/ncbar-#1 }{ #2 } }
\begin{tikzpicture}[overlay, remember~picture]
\draw[tkmdraw/ncbar-#1, <->]
([yshift=\use:c{l_ncbar_#1_A_dim}]$(pic~cs \@colon #3)$) -- ++(0,\use:c{l_ncbar_#1_h_dim}) -|
node[align=center,near~ start] {#5} ([yshift=\use:c{l_ncbar_#1_B_dim}]$(pic~cs \@colon #4)$);
\end{tikzpicture}%
\group_end:
}
\NewDocumentCommand{\tkm@ncbara}{ O{} m m +m}
{
\tkm@ncbar{above}{#1}{#2}{#3}{#4}
}
\NewDocumentCommand{\tkm@ncbarb}{ O{} m m +m}
{
\tkm@ncbar{below}{#1}{#2}{#3}{#4}
}
\cs_new_protected:Npn \__define_brace_keys:nn #1#2 { % #1=above/below, #2=sep, #3=height
\keys_define:nn { tkmdraw/brace-#1 }
{
brace-#1 .bool_set:N = \l_tmpa_bool,
tikz .code:n = \tikzset{tkmdraw/brace-#1/.append~style = {##1},},
tikz .initial:n = {},
tikz .value_required:n = true,
text .meta:n = { tikz = { text = ##1 }},
font .meta:n = { tikz = { font = ##1 }},
color .meta:n = { tikz = { color = ##1 }},
text .value_required:n = true,
font .value_required:n = true,
color .value_required:n = true,
#1 .dim_set:c = {l_brace_#1_dim},
#1 .initial:n = 2.5pt,
#1 .value_required:n = true,
amplitude .dim_set:c = {l_brace_#1_h_dim},
amplitude .initial:n = 0.4em,
amplitude .value_required:n = true,
vsep-A .dim_set:c = {l_brace_#1_A_dim},
vsep-B .dim_set:c = {l_brace_#1_B_dim},
vsep-A .initial:n = #2,
vsep-B .initial:n = #2,
raise .meta:n = { vsep-A = ##1 , vsep-B = ##1 }
}
}
\__define_brace_keys:nn{above}{1.85ex}
\__define_brace_keys:nn{below}{-1.00ex}
\NewDocumentCommand{\tkm@brace}{m m m m +m}
{
\group_begin:
\IfNoValueF{#2} { \keys_set:nn{tkmdraw/brace-#1}{#2} }
\begin{tikzpicture}[overlay, remember~picture]
\draw[tkmdraw/brace-#1=\use:c{l_brace_#1_h_dim}]
([yshift=\use:c{l_brace_#1_A_dim}]$(pic~cs \@colon #3)$)--([yshift=\use:c{l_brace_#1_B_dim}]$(pic~cs \@colon #4)$)
node [align=center, midway, #1=\use:c{l_brace_#1_dim}] {#5};
\end{tikzpicture}
\group_end:
}
\NewDocumentCommand{\tkm@bracea}{ O{} m m +m}
{
\tkm@brace{above}{#1}{#2}{#3}{#4}
}
\NewDocumentCommand{\tkm@braceb}{ O{} m m +m}
{
\tkm@brace{below}{#1}{#2}{#3}{#4}
}
\keys_define:nn { tkmdraw }
{
@ncbar-above .bool_set:N = \l_ncbar_a_bool,
@ncbar-below .bool_set:N = \l_ncbar_b_bool,
@brace-above .bool_set:N = \l_brace_a_bool,
@brace-below .bool_set:N = \l_brace_b_bool,
ncbar-above .meta:n = { @ncbar-above = true, @ncbar-below = false, @brace-above = false, @brace-below = false },
ncbar-below .meta:n = { @ncbar-below = true, @ncbar-above = false, @brace-above = false, @brace-below = false },
brace-above .meta:n = { @brace-above = true, @ncbar-below = false, @ncbar-above = false, @brace-below = false },
brace-below .meta:n = { @brace-below = true, @ncbar-below = false, @ncbar-above = false, @brace-above = false },
}
\NewDocumentCommand{\tkmdraw}{o m m +m}
{
\group_begin:
\tkmdraw_test_options:n { #1 }
\IfBooleanT{ \l_ncbar_a_bool } { \tkm@ncbara[#1]{#2}{#3}{#4} }
\IfBooleanT{ \l_ncbar_b_bool } { \tkm@ncbarb[#1]{#2}{#3}{#4} }
\IfBooleanT{ \l_brace_a_bool } { \tkm@bracea[#1]{#2}{#3}{#4} }
\IfBooleanT{ \l_brace_b_bool } { \tkm@braceb[#1]{#2}{#3}{#4} }
\group_end:
}
\cs_new_protected:Npn \tkmdraw_test_options:n #1
{
\str_case:xnF { \clist_item:nn { #1 } { 1 } }
{
{ncbar-above} { \keys_set:nn { tkmdraw } { ncbar-above } \keys_set:nn { tkmdraw/ncbar-above } {#1}}
{ncbar-below} { \keys_set:nn { tkmdraw } { ncbar-below } \keys_set:nn { tkmdraw/ncbar-below } {#1}}
{brace-above} { \keys_set:nn { tkmdraw } { brace-above } \keys_set:nn { tkmdraw/brace-above } {#1}}
{brace-below} { \keys_set:nn { tkmdraw } { brace-below } \keys_set:nn { tkmdraw/brace-below } {#1}}
}
{}
}
\cs_generate_variant:Nn \str_case:nnF { x }
\ExplSyntaxOff
\makeatother
\begin{document}
With \verb+\tkm@ncbara+ and \verb+\tkm@ncbarb+ command ... OK :)
\[ (\TkM{a1}{2}\TkM{a2}{p}q^{2})(\TkM{a3}{3}p\TkM{a4}{q})=6p^{2}q^{3} \]
\makeatletter
\tkm@ncbara[color=green,text=red,height= 0.3em]{a1}{a3}{ncbara}
\tkm@ncbarb[color=red,text=green,height= -0.3em]{a2}{a4}{ncbarb}
\makeatother
With \verb+\tkm@bracea+ and \verb+\tkm@braceb+ command ... OK :)
\[ (\TkM{b1}{2}\TkM{b2}{p}q^{2})(\TkM{b3}{3}p\TkM{b4}{q})=6p^{2}q^{3} \]
\makeatletter
\tkm@bracea[color=green,text=red, amplitude= 0.3em]{b1}{b3}{bracea}
\tkm@braceb[color=red,text=green, amplitude= 0.3em]{b2}{b4}{braceb}
\makeatother
\par\vspace{0.65cm}
With \verb+\tkmdraw[key=val]{...}+ command ... OK :)
\par\vspace{0.65cm}
% adapted from https://tex.stackexchange.com/a/76507/7832
\begin{align*}
(3{,}14 \times \TkM{c1}{10^{-2}}) + (1\TkM{c2}{{,}}2 \times \TkM{c3}{10^{-4}})
&= (3{,}14 \times \TkM{c4}{10^{-2}}) + (0\TkM{c5}{{,}}012 \times \TkM{c6}{10^{-2}})\\[3ex]
&= (3{,}14+0{,}012) \times 10^{-2}\\
&= \TkM{c7}{3}{,}152 \times \TkM{c8}{10}^{-2}
\end{align*}
\tkmdraw[ncbar-below,color=blue,text=red,raise=-3pt]{c1}{c3}{not equal}
\tkmdraw[ncbar-below,color=red,text=blue,raise=-3pt]{c4}{c6}{equal}
\tkmdraw[ncbar-above,color=red,text=blue]{c2}{c5}{The decimal is moved to the left \\ to increase the exponent}
\tkmdraw[brace-below,color=red,text=green, amplitude= 0.3em]{c7}{c8}{$0{,}30152$}
\end{document}