如何定义一个以宏定义作为参数的宏

Question 1

\documentclass{article}
\usepackage{amsmath}
\usepackage{xparse}

\ExplSyntaxOn
\NewDocumentCommand{\elliptic}{O{i}mmmm}
 {% #1 = item to substitute
  % #2 = main term
  % #3 = first index
  % #4 = last index
  % #5 = operation
  \group_begin:
  \lucas_elliptic:nnnnn { #1 } { #2 } { #3 } { #4 } { #5 }
  \group_end:
 }
\tl_new:N \l__lucas_elliptic_term_tl
\cs_generate_variant:Nn \cs_set:Nn { NV }
\cs_new:Nn \lucas_elliptic:nnnnn
 {
  \tl_set:Nn \l__lucas_elliptic_term_tl { #2 }
  \regex_replace_all:nnN
   { #1 } % search
   { \cB\{\cP\#1\cE\} } % replace
   \l__lucas_elliptic_term_tl % what to act on
  \cs_set:NV \__lucas_elliptic_term:n \l__lucas_elliptic_term_tl
  \__lucas_elliptic_term:n { #3 }
  #5 \dots #5
  \__lucas_elliptic_term:n { #4 }
 }
\ExplSyntaxOff

\begin{document}

$\elliptic{x^{i}}{0}{5}{+}$

$\elliptic{x_{i}}{0}{5}{+}$

$\elliptic[k]{(x_{k}+y_{k}i)}{1}{n}{}$

\end{document}

如果您乐意使用#1占位符，则可以简化：

\documentclass{article}
\usepackage{amsmath}
\usepackage{xparse}

\ExplSyntaxOn
\NewDocumentCommand{\elliptic}{mmmm}
 {% #1 = main term
  % #2 = first index
  % #3 = last index
  % #4 = operation
  \group_begin:
  \lucas_elliptic:nnnn { #1 } { #2 } { #3 } { #4 }
  \group_end:
 }
\cs_new:Nn \lucas_elliptic:nnnn
 {
  \cs_set:Nn \__lucas_elliptic_term:n { #1 }
  \__lucas_elliptic_term:n { #2 }
  #4 \dots #4
  \__lucas_elliptic_term:n { #3 }
 }
\ExplSyntaxOff

\begin{document}

$\elliptic{x^{#1}}{0}{5}{+}$

$\elliptic{x_{#1}}{0}{5}{+}$

$\elliptic{(x_{#1}+y_{#1}i)}{1}{n}{}$

\end{document}

Answer

这是我在如何制作一个命令来自动创建类似素数分解的乘积？

\documentclass{article}
\usepackage{amsmath}
\usepackage{xparse}

\ExplSyntaxOn
\NewDocumentCommand{\elliptic}{O{i}mmmm}
 {% #1 = item to substitute
  % #2 = main term
  % #3 = first index
  % #4 = last index
  % #5 = operation
  \group_begin:
  \lucas_elliptic:nnnnn { #1 } { #2 } { #3 } { #4 } { #5 }
  \group_end:
 }
\tl_new:N \l__lucas_elliptic_term_tl
\cs_generate_variant:Nn \cs_set:Nn { NV }
\cs_new:Nn \lucas_elliptic:nnnnn
 {
  \tl_set:Nn \l__lucas_elliptic_term_tl { #2 }
  \regex_replace_all:nnN
   { #1 } % search
   { \cB\{\cP\#1\cE\} } % replace
   \l__lucas_elliptic_term_tl % what to act on
  \cs_set:NV \__lucas_elliptic_term:n \l__lucas_elliptic_term_tl
  \__lucas_elliptic_term:n { #3 }
  #5 \dots #5
  \__lucas_elliptic_term:n { #4 }
 }
\ExplSyntaxOff

\begin{document}

$\elliptic{x^{i}}{0}{5}{+}$

$\elliptic{x_{i}}{0}{5}{+}$

$\elliptic[k]{(x_{k}+y_{k}i)}{1}{n}{}$

\end{document}

如果您乐意使用#1占位符，则可以简化：

\documentclass{article}
\usepackage{amsmath}
\usepackage{xparse}

\ExplSyntaxOn
\NewDocumentCommand{\elliptic}{mmmm}
 {% #1 = main term
  % #2 = first index
  % #3 = last index
  % #4 = operation
  \group_begin:
  \lucas_elliptic:nnnn { #1 } { #2 } { #3 } { #4 }
  \group_end:
 }
\cs_new:Nn \lucas_elliptic:nnnn
 {
  \cs_set:Nn \__lucas_elliptic_term:n { #1 }
  \__lucas_elliptic_term:n { #2 }
  #4 \dots #4
  \__lucas_elliptic_term:n { #3 }
 }
\ExplSyntaxOff

\begin{document}

$\elliptic{x^{#1}}{0}{5}{+}$

$\elliptic{x_{#1}}{0}{5}{+}$

$\elliptic{(x_{#1}+y_{#1}i)}{1}{n}{}$

\end{document}

Question 2

对于给出的参数位于占位符末尾的示例，您不需要定义任何内部命令，但对于一般情况，该形式\ellipsisb将任何单参数命令定义的主体作为第一个参数。这允许在末尾显示 0^2...5^2 形式。

\documentclass{article}



\begin{document}

\newcommand\ellipsis[4]{#1{#2}#4\cdots#4#1{#3}}

$\ellipsis{x^}{0}{5}{+}$

\newcommand\ellipsisb[4]{%
\def\tmp##1{#1}\tmp{#2}#4\cdots#4\tmp{#3}}

$\ellipsisb{x^{#1}}{0}{5}{+}$

$\ellipsisb{{#1}^2}{0}{5}{+}$



\end{document}

Answer

对于给出的参数位于占位符末尾的示例，您不需要定义任何内部命令，但对于一般情况，该形式\ellipsisb将任何单参数命令定义的主体作为第一个参数。这允许在末尾显示 0^2...5^2 形式。

\documentclass{article}



\begin{document}

\newcommand\ellipsis[4]{#1{#2}#4\cdots#4#1{#3}}

$\ellipsis{x^}{0}{5}{+}$

\newcommand\ellipsisb[4]{%
\def\tmp##1{#1}\tmp{#2}#4\cdots#4\tmp{#3}}

$\ellipsisb{x^{#1}}{0}{5}{+}$

$\ellipsisb{{#1}^2}{0}{5}{+}$



\end{document}

Question 3

也许我不明白你想要什么，但据我所知你不需要\csuse在这里定义：

\newcommand\ellip[4]{{#1}^{#3}#2\dots#2{#1}^{#4}}

这样 $\ellip x+04$ 和 $\ellip y-{-1}2$ 分别产生

如果你确实需要一个支持宏的更高级的版本，那么我建议不要将宏放在指数中，而是只需替换x^为\csuse{#1}：

\newcommand\fancyellip[4]{\csuse{#1}{#3}#2\dots#2\csuse{#1}{#4}}

因此现在 $\fancyellip{xint}-{1}2$ 产生

以获得的适当定义\xint。

完整代码如下：

\documentclass{article}

\newcommand\ellip[4]{{#1}^{#3}#2\dots#2{#1}^{#4}}

\usepackage{etoolbox}
\newcommand\fancyellip[4]{\csuse{#1}{#3}#2\dots#2\csuse{#1}{#4}}
\newcommand\xint[1]{\int_{0}^{#1}x\,dx}

\begin{document}

  $\ellip x+04$

  $\ellip y-{-1}2$

  \bigskip

  $\fancyellip{xint}-{1}2$
\end{document}

Answer