我想编写一个宏来删除小数点中的零。例如转换2.0
为2
数字。
这是我尝试删除一个零,但它不起作用并产生错误:
\documentclass[borders=2cm]{standalone}
\usepackage{tikz}
\newcommand{\isinteger}[1]{\pgfmathtruncatemacro{\intvar}{#1}
\def\newx{\pgfmathparse{10*(\intvar-#1)}\pgfmathresult}
\ifnum\newx=0
\intvar
\else
#1
\fi}
\begin{document}
\isinteger{1.5}
\end{document}
错误:
Missing number, treated as zero. \isinteger{1.5}
Missing = inserted for \ifnum. \isinteger{1.5}
Missing number, treated as zero. \isinteger{1.5}
任何想法?
答案1
如果你只想将整数打印为整数,将非整数打印为非整数,并且因为你已经在使用数学,我建议使用\pgfmathprintnumber
。它在《蒂克兹手册,但以下似乎可以满足您的要求:
\documentclass{article}
\usepackage{tikz}
\newcommand{\isinteger}[1]{\pgfmathprintnumber[int detect,fixed]{#1}}
\begin{document}
\isinteger{1.5}
\isinteger{1.0}
\end{document}
这将分别打印1.5
和1
。
另一个选择是\num
使用希尼奇:
\documentclass{article}
\usepackage{siunitx}
\newcommand{\isinteger}[1]{\num[zero-decimal-to-integer=true]{#1}}
\begin{document}
\isinteger{1.5}
\isinteger{1.0}
\end{document}
答案2
答案3
答案4
我可以提供一个可扩展的例程\normalizenumber
来“规范化”数字。
为了解释\normalizenumber
工作原理,除了 TeXBook 中 Backus/Naur 符号中对 TeX 语法的定义之外,我还要定义一个量⟨小数点分隔符⟩:
⟨小数点分隔符⟩→。12|,12
语法\normalizenumber
是:
\normalizenumber⟨undelimited argument⟩
情况1:
形成的标记⟨undelimited argument⟩
符合模式
⟨可选标志⟩⟨整数常数⟩⟨一个可选空格⟩
案例 1
- ⟨可选标志⟩按照如下所述进行转换并交付。
- ⟨整数常数⟩输出删除所有前导零后的数字。如果删除所有前导零后结果为空,则输出
一位数字。012
- ⟨一个可选空格⟩已移除。
案例 2:
形成的标记⟨undelimited argument⟩
符合模式
⟨可选标志⟩⟨整数常数⟩⟨小数点分隔符⟩⟨整数常数⟩⟨一个可选空格⟩
案例 2
- ⟨可选标志⟩按照如下所述进行转换并交付。
- 第一个/左边⟨整数常数⟩交付时删除了所有前导零。如果删除所有前导零后结果为空,则交付
一位数字。012
- 如果删除第二个/右侧的所有尾随零⟨整数常数⟩不产生空虚,那么⟨小数点分隔符⟩已送达。
- 第二个/右边⟨整数常数⟩交付时已删除所有尾随零。
- ⟨一个可选空格⟩已移除。
在所有其他情况下组成 的标记⟨undelimited argument⟩
将保持不变。
界定 的花括号将⟨undelimited argument⟩
被删除。
任何状况之下由于\romannumeral0
扩展,结果是在两个扩展步骤之后/通过两次“命中”得出\normalizenumber
的\expandafter
。
刚才说的事情意味着,例如,\normalizenumber{1.}
回报1.
不变,因为⟨未限定参数⟩ 1.
既不是案例 1 中描述的模式,也不是案例 2 中描述的模式。 \normalizenumber{1.000}
结果是1
——⟨未限定参数⟩ 1.000
与案例 2 描述的模式一致。
转换⟨可选标志⟩
以防万一⟨可选标志⟩表示非负数,则不会返回任何标记。
如果⟨可选标志⟩表示负数,则将为它们返回单个显式字符标记。 如果要规范化的数字的绝对值为 0,则不会得到符号 — 您将不会得到但会得到。-12
-0
0
\normalizenumber
的扩展⟨未限定参数⟩
\normalizenumber
在尾递归循环中逐个检查其参数:如果⟨未限定参数⟩并不意味着⟨未限定参数⟩既不符合情况 1 的模式,也不符合情况 2 的模式,那么它将被从⟨未限定参数⟩在下一次迭代中,\normalizenumber
将“查看”剩余的第一个标记⟨未限定参数⟩。
有一个\if
-switch \ifnormalizenumberexpandarg
。
如果你说\normalizenumberexpandargfalse
,那么\normalizenumber
在检查期间不会扩展可扩展标记,并且遇到可扩展标记意味着⟨未限定参数⟩既不符合情况 1 所描述的模式,也不符合情况 2 所描述的模式。
如果你说\normalizenumberexpandargtrue
,那么在每次迭代中发现⟨未限定参数⟩是可扩展的,触发“命中”它,\expandafter
并在下一次迭代中检查结果。扩展⟨未限定参数⟩可能会影响后续的⟨未限定参数⟩。请谨慎
使用\normalizenumberexpandargtrue
并保持一定程度的怀疑:
如果第一个标记是不平衡的\else
或\fi
或不平衡的\csname
,那么您可能会收到各种奇怪的错误消息。如果将第一个标记定义为触发影响结束括号之外的标记的事情⟨未限定参数⟩,那么程序流就会变得不可预测。如果第一个标记被定义为自行传递,那么你可能会陷入永无止境的循环。
\errorcontextlines=10000
\documentclass{article}
\makeatletter
%%=============================================================================
%% Paraphernalia:
%% \UD@firstoftwo, \UD@secondoftwo, \UD@Exchange, \UD@Removespace
%% \UD@CheckWhetherNull, \UD@CheckWhetherLeadingSpace, \UD@ExtractFirstArg
%%=============================================================================
\newcommand\UD@firstoftwo[2]{#1}%
\newcommand\UD@secondoftwo[2]{#2}%
\newcommand\UD@Exchange[2]{#2#1}%
\@ifdefinable\UD@Removespace{\UD@Exchange{ }{\def\UD@Removespace}{}}%
%%-----------------------------------------------------------------------------
%% Check whether argument is empty:
%%.............................................................................
%% \UD@CheckWhetherNull{<Argument which is to be checked>}%
%% {<Tokens to be delivered in case that argument
%% which is to be checked is empty>}%
%% {<Tokens to be delivered in case that argument
%% which is to be checked is not empty>}%
%%
%% The gist of this macro comes from Robert R. Schneck's \ifempty-macro:
%% <https://groups.google.com/forum/#!original/comp.text.tex/kuOEIQIrElc/lUg37FmhA74J>
\newcommand\UD@CheckWhetherNull[1]{%
\romannumeral0\expandafter\UD@secondoftwo\string{\expandafter
\UD@secondoftwo\expandafter{\expandafter{\string#1}\expandafter
\UD@secondoftwo\string}\expandafter\UD@firstoftwo\expandafter{\expandafter
\UD@secondoftwo\string}\expandafter\expandafter\UD@firstoftwo{ }{}%
\UD@secondoftwo}{\expandafter\expandafter\UD@firstoftwo{ }{}\UD@firstoftwo}%
}%
%%-----------------------------------------------------------------------------
%% Check whether argument's first token is a catcode-1-character
%%.............................................................................
%% \UD@CheckWhetherBrace{<Argument which is to be checked>}%
%% {<Tokens to be delivered in case that argument
%% which is to be checked has leading
%% catcode-1-token>}%
%% {<Tokens to be delivered in case that argument
%% which is to be checked has no leading
%% catcode-1-token>}%
\newcommand\UD@CheckWhetherBrace[1]{%
\romannumeral0\expandafter\UD@secondoftwo\expandafter{\expandafter{%
\string#1.}\expandafter\UD@firstoftwo\expandafter{\expandafter
\UD@secondoftwo\string}\expandafter\expandafter\UD@firstoftwo{ }{}%
\UD@firstoftwo}{\expandafter\expandafter\UD@firstoftwo{ }{}\UD@secondoftwo}%
}%
%%-----------------------------------------------------------------------------
%% Check whether brace-balanced argument starts with a space-token
%%.............................................................................
%% \UD@CheckWhetherLeadingSpace{<Argument which is to be checked>}%
%% {<Tokens to be delivered in case <argument
%% which is to be checked>'s 1st token is a
%% space-token>}%
%% {<Tokens to be delivered in case <argument
%% which is to be checked>'s 1st token is not
%% a space-token>}%
\newcommand\UD@CheckWhetherLeadingSpace[1]{%
\romannumeral0\UD@CheckWhetherNull{#1}%
{\expandafter\expandafter\UD@firstoftwo{ }{}\UD@secondoftwo}%
{\expandafter\UD@secondoftwo\string{\UD@CheckWhetherLeadingSpaceB.#1 }{}}%
}%
\newcommand\UD@CheckWhetherLeadingSpaceB{}%
\long\def\UD@CheckWhetherLeadingSpaceB#1 {%
\expandafter\UD@CheckWhetherNull\expandafter{\UD@firstoftwo{}#1}%
{\UD@Exchange{\UD@firstoftwo}}{\UD@Exchange{\UD@secondoftwo}}%
{\UD@Exchange{ }{\expandafter\expandafter\expandafter\expandafter
\expandafter\expandafter\expandafter}\expandafter\expandafter
\expandafter}\expandafter\UD@secondoftwo\expandafter{\string}%
}%
%%=============================================================================
%% Extract K-th inner undelimited argument:
%%
%% \UD@ExtractKthArg{<integer K>}{<list of undelimited args>}
%%
%% In case there is no K-th argument in <list of indelimited args> :
%% Does not deliver any token.
%% In case there is a K-th argument in <list of indelimited args> :
%% Does deliver that K-th argument with one level of braces removed.
%%
%% Examples:
%%
%% \UD@ExtractKthArg{0}{ABCDE} yields: <nothing>
%%
%% \UD@ExtractKthArg{3}{ABCDE} yields: C
%%
%% \UD@ExtractKthArg{3}{AB{CD}E} yields: CD
%%
%% \UD@ExtractKthArg{4}{{001}{002}{003}{004}{005}} yields: 004
%%
%% \UD@ExtractKthArg{6}{{001}{002}{003}} yields: <nothing>
%%
%%=============================================================================
\newcommand\UD@ExtractKthArg[1]{%
\romannumeral0%
% #1: <integer number K>
\expandafter\UD@ExtractKthArgCheck
\expandafter{\romannumeral\number\number#1 000}%
}%
\newcommand\UD@ExtractKthArgCheck[2]{%
\UD@CheckWhetherNull{#1}{ }{%
\expandafter\UD@ExtractKthArgLoop\expandafter{\UD@firstoftwo{}#1}{#2}%
}%
}%
\newcommand\UD@ExtractKthArgLoop[2]{%
\expandafter\UD@CheckWhetherNull\expandafter{\UD@firstoftwo#2{}.}{ }{%
\UD@CheckWhetherNull{#1}{%
\UD@ExtractFirstArgLoop{#2UD@SelDOm}%
}{%
\expandafter\UD@Exchange\expandafter{\expandafter{\UD@firstoftwo{}#2}}%
{\expandafter\UD@ExtractKthArgLoop\expandafter{\UD@firstoftwo{}#1}}%
}%
}%
}%
\@ifdefinable\UD@RemoveTillUD@SelDOm{%
\long\def\UD@RemoveTillUD@SelDOm#1#2UD@SelDOm{{#1}}%
}%
\newcommand\UD@ExtractFirstArgLoop[1]{%
\expandafter\UD@CheckWhetherNull\expandafter{\UD@firstoftwo{}#1}%
{\UD@firstoftwo{\expandafter}{} \UD@secondoftwo{}#1}%
{\expandafter\UD@ExtractFirstArgLoop\expandafter{\UD@RemoveTillUD@SelDOm#1}}%
}%
%%=============================================================================
%% Fork if argument, which must be a single token, is
%% 0/1/2/3/4/5/6/7/8/9/+/-/./,/<space token>/<expandable token>/<something else>
%% (total: 17 cases)
%%-----------------------------------------------------------------------------
\@ifdefinable\UD@GobbleToExclam{\long\def\UD@GobbleToExclam#1!{}}%
%%-----------------------------------------------------------------------------
\@ifdefinable\UD@normalizenumberfork{%
\long\def\UD@normalizenumberfork#1!0!1!2!3!4!5!6!7!8!9!+!-!,!.!#2#3!!!!{#2}%
}%
\newcommand\UD@normalizenumberloopfork[1]{%
\expandafter\UD@CheckWhetherNull\expandafter{\UD@GobbleToExclam#1!}{%
\UD@normalizenumberfork
!#1!1!2!3!4!5!6!7!8!9!+!-!,!.!{1}% <digit> 0_12
!0!#1!2!3!4!5!6!7!8!9!+!-!,!.!{2}% <digit> 1_12
!0!1!#1!3!4!5!6!7!8!9!+!-!,!.!{3}% <digit> 2_12
!0!1!2!#1!4!5!6!7!8!9!+!-!,!.!{4}% <digit> 3_12
!0!1!2!3!#1!5!6!7!8!9!+!-!,!.!{5}% <digit> 4_12
!0!1!2!3!4!#1!6!7!8!9!+!-!,!.!{6}% <digit> 5_12
!0!1!2!3!4!5!#1!7!8!9!+!-!,!.!{7}% <digit> 6_12
!0!1!2!3!4!5!6!#1!8!9!+!-!,!.!{8}% <digit> 7_12
!0!1!2!3!4!5!6!7!#1!9!+!-!,!.!{9}% <digit> 8_12
!0!1!2!3!4!5!6!7!8!#1!+!-!,!.!{10}% <digit> 9_12
!0!1!2!3!4!5!6!7!8!9!#1!-!,!.!{11}% <plus or minus> +_12
!0!1!2!3!4!5!6!7!8!9!+!#1!,!.!{12}% <plus or minus> -_12
!0!1!2!3!4!5!6!7!8!9!+!-!#1!.!{13}% <decimal constant> ,_12
!0!1!2!3!4!5!6!7!8!9!+!-!,!#1!{14}% <decimal constant> ._12
!0!1!2!3!4!5!6!7!8!9!+!-!,!.!{%
\ifcat\noexpand#1 \expandafter\UD@firstoftwo\else\expandafter\UD@secondoftwo\fi
{15}% <space token> differing from explicit character token of catcode 10
% and charcode 32; removable as undelimited argument
{%
\expandafter\ifx\noexpand#1#1%
\expandafter\UD@firstoftwo\else\expandafter\UD@secondoftwo\fi
{18}% something else which is not allowed
{17}% expandable token
}%
}%
!!!!%
}{18}% Case: #1 contains !_12 , therefore is something else which is not
% allowed
}%
%%=============================================================================
%% \normalizenumber{<argument>}
%%-----------------------------------------------------------------------------
\newcommand\normalizenumber[1]{%
\romannumeral0%
\normalizenumberloop{#1}{}{}{#1}{\UD@firstoftwo}{}{\UD@firstoftwo}{}%
}%
\newif\ifnormalizenumberexpandarg\normalizenumberexpandargfalse
\newcommand\normalizenumberloop[8]{%
% #1 - argument to iterate
% #2 - leading zero if found
% #3 - optional minus sign
% #4 - argument untouched
% #5 - decimal separator not/already found - \UD@firstoftwo/\UD@secondoftwo
% #6 - zero-decimals collected so far
% #7 - sign-check on/off - \UD@firstoftwo/\UD@secondoftwo
% #8 - significant digits collected so far
\UD@CheckWhetherNull{#1}{%
\UD@CheckWhetherNull{#8}{\UD@CheckWhetherNull{#2}{ #4}{ #2}}{ #3#8}%
}{%
\UD@ExtractKthArg{%
%-------------------------------------------------------------------------
% \UD@ExtractKthArg's <integer K>:
%-------------------------------------------------------------------------
% Code for calculating \UD@ExtractKthArg's <integer K>
\UD@CheckWhetherBrace{#1}{%
18% argument to iterate's 1st token has catcode 1, therefore is not
% allowed.
}{%
\UD@CheckWhetherLeadingSpace{#1}{%
16% explicit character token of catcode 10 and charcode 32; not
% removable as undelimited argument
}{%
\expandafter\UD@normalizenumberloopfork
\expandafter{\romannumeral0\UD@ExtractFirstArgLoop{#1UD@SelDOm}}%
}%
}%
}{%
%-------------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>:
%-------------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 1st argument:
% \UD@ExtractKthArg's 1st argument yields the number 1, thus #1's
% 1st token is <digit> 0_12
{%
#5{%
\UD@CheckWhetherNull{#8}{%
\UD@firstoftwo{%
\expandafter\normalizenumberloop\expandafter{\UD@firstoftwo{}#1}{0}{#3}{#4}{#5}{}{\UD@secondoftwo}{#8}%
}%
}{\UD@Exchange{{#80}}}%
}{%
\UD@firstoftwo{%
\expandafter\normalizenumberloop
\expandafter{\UD@firstoftwo{}#1}{#2}%
{#3}{#4}{#5}{#60}{\UD@secondoftwo}{#8}%
}%
}%
}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 2nd argument:
% \UD@ExtractKthArg's 1st argument yields the number 2, thus #1's
% 1st token is <digit> 1_12
{\UD@Exchange{{#8#61}}}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 3rd argument:
% \UD@ExtractKthArg's 1st argument yields the number 3, thus #1's
% 1st token is <digit> 2_12
{\UD@Exchange{{#8#62}}}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 4th argument:
% \UD@ExtractKthArg's 1st argument yields the number 4, thus #1's
% 1st token is <digit> 3_12
{\UD@Exchange{{#8#63}}}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 5th argument:
% \UD@ExtractKthArg's 1st argument yields the number 5, thus #1's
% 1st token is <digit> 4_12
{\UD@Exchange{{#8#64}}}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 6th argument:
% \UD@ExtractKthArg's 1st argument yields the number 6, thus #1's
% 1st token is <digit> 5_12
{\UD@Exchange{{#8#65}}}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 7th argument:
% \UD@ExtractKthArg's 1st argument yields the number 7, thus #1's
% 1st token is <digit> 6_12
{\UD@Exchange{{#8#66}}}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 8th argument:
% \UD@ExtractKthArg's 1st argument yields the number 8, thus #1's
% 1st token is <digit> 7_12
{\UD@Exchange{{#8#67}}}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 9th argument:
% \UD@ExtractKthArg's 1st argument yields the number 9, thus #1's
% 1st token is <digit> 8_12
{\UD@Exchange{{#8#68}}}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 10th argument:
% \UD@ExtractKthArg's 1st argument yields the number 10, thus #1's
% 1st token is <digit> 9_12
{\UD@Exchange{{#8#69}}}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 11th argument:
% \UD@ExtractKthArg's 1st argument yields the number 11, thus #1's
% 1st token is <plus or minus> +_12
{%
\UD@firstoftwo{%
#7{%
\expandafter\UD@CheckWhetherNull
\expandafter{\UD@firstoftwo{}#1}{ #4}{%
\expandafter\normalizenumberloop
\expandafter{\UD@firstoftwo{}#1}{#2}{#3}{#4}{#5}{#6}{#7}{#8}%
}%
}{ #4}%
}%
}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 12th argument:
% \UD@ExtractKthArg's 1st argument yields the number 12, thus #1's
% 1st token is <plus or minus> -_12
{%
\UD@firstoftwo{%
#7{%
\expandafter\UD@CheckWhetherNull
\expandafter{\UD@firstoftwo{}#1}{ #4}{%
\UD@CheckWhetherNull{#3}{\UD@Exchange{{-}}}{\UD@Exchange{{}}}%
{\expandafter\normalizenumberloop\expandafter{\UD@firstoftwo{}#1}{#2}}%
{#4}{#5}{#6}{#7}{#8}%
}%
}{ #4}%
}%
}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 13th argument:
% \UD@ExtractKthArg's 1st argument yields the number 13, thus #1's
% 1st token is <decimal constant> ,_12
{%
\UD@firstoftwo{%
#5{%
\expandafter\UD@CheckWhetherNull
\expandafter{\UD@firstoftwo{}#1}{ #4}{%
\UD@CheckWhetherNull{#2#8}{ #4}{%
\UD@CheckWhetherNull{#8}{\UD@Exchange{{#2}}}{\UD@Exchange{{#8}}}%
{%
\expandafter\normalizenumberloop\expandafter{\UD@firstoftwo{}#1}%
{#2}{#3}{#4}{\UD@secondoftwo}{,}{\UD@secondoftwo}%
}%
}%
}%
}{ #4}%
}%
}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 14th argument:
% \UD@ExtractKthArg's 1st argument yields the number 14, thus #1's
% 1st token is <decimal constant> ._12
{%
\UD@firstoftwo{%
#5{%
\expandafter\UD@CheckWhetherNull
\expandafter{\UD@firstoftwo{}#1}{ #4}{%
\UD@CheckWhetherNull{#2#8}{ #4}{%
\UD@CheckWhetherNull{#8}{\UD@Exchange{{#2}}}{\UD@Exchange{{#8}}}%
{%
\expandafter\normalizenumberloop\expandafter{\UD@firstoftwo{}#1}%
{#2}{#3}{#4}{\UD@secondoftwo}{.}{\UD@secondoftwo}%
}%
}%
}%
}{ #4}%
}%
}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 15th argument:
% \UD@ExtractKthArg's 1st argument yields the number 15, thus #1's
% 1st token is a <space token> differing from explicit character
% token of catcode 10 and charcode 32 and is removable as
% undelimited argument
{%
\UD@firstoftwo{%
#7{\UD@firstoftwo}{%
\expandafter\UD@CheckWhetherNull\expandafter{\UD@firstoftwo{}#1}%
}%
{%
\expandafter\normalizenumberloop
\expandafter{\UD@firstoftwo{}#1}{#2}{#3}{#4}{#5}{#6}{#7}{#8}%
}%
{ #4}%
}%
}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 16th argument:
% \UD@ExtractKthArg's 1st argument yields the number 16, thus #1's
% 1st token is a <space token>, more precisely an explicit
% character token of catcode 10 and charcode 32 and is not removable
% as undelimited argument
{%
\UD@firstoftwo{%
#7{\UD@firstoftwo}{%
\expandafter\UD@CheckWhetherNull\expandafter{\UD@Removespace#1}%
}%
{%
\expandafter\normalizenumberloop
\expandafter{\UD@Removespace#1}{#2}{#3}{#4}{#5}{#6}{#7}{#8}%
}%
{ #4}%
}%
}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 17th argument:
% \UD@ExtractKthArg's 1st argument yields the number 17, thus #1's
% 1st token is expandable.
{%
\UD@firstoftwo{%
\ifnormalizenumberexpandarg
\expandafter\UD@firstoftwo\else\expandafter\UD@secondoftwo\fi
{\expandafter\normalizenumberloop\expandafter{#1}{#2}{#3}{#4}{#5}{#6}{#7}{#8}}%
{ #4}%
}%
}%
%-----------------------------------------------------------------------
% \UD@ExtractKthArg's <list of undelimited args>'s 18th argument:
% \UD@ExtractKthArg's 1st argument yields the number 18, thus #1's
% 1st token is not allowed with numbers that can be normalized.
{%
\UD@firstoftwo{ #4}%
}%
%-------------------------------------------------------------------------
% End of \UD@ExtractKthArg's <list of undelimited args>.
%-------------------------------------------------------------------------
}%
{\expandafter\normalizenumberloop\expandafter{\UD@firstoftwo{}#1}%
{#2}{#3}{#4}{#5}{}{\UD@secondoftwo}%
}%
}%
}%
%%.............................................................................
\makeatother
% Test \normalizenumber by applying it inside the definition-text of \test:
\newcommand\Test[1]{%
\expandafter\expandafter\expandafter\def
\expandafter\expandafter\expandafter\test
\expandafter\expandafter\expandafter{#1}%
\texttt{(\meaning\test)}%
}%
\makeatletter\let\sptoken= \@sptoken\makeatother
\begin{document}
\null\kern-2cm
The following either comply the pattern described in case 1 or comply the pattern described in case 2:
01: \Test{\normalizenumber{-\sptoken\sptoken-\sptoken++\sptoken00000.0000\sptoken}}
02: \Test{\normalizenumber{-\sptoken\sptoken-\sptoken++\sptoken - 8\sptoken}}
03: \Test{\normalizenumber{+-+00000}}
04: \Test{\normalizenumber{-++++0}}
05: \Test{\normalizenumber{---00000.000010000}}
06: \Test{\normalizenumber{--+-0003.9}}
07: \Test{\normalizenumber{+-+00087}}
08: \Test{\normalizenumber{+ -+00024}}
09: \Test{\normalizenumber{--87.0000}}
10: \Test{\normalizenumber{+--0015.00000010000700000}}
11: \Test{\normalizenumber{+98.0000 }}
12: \Test{\normalizenumber{4.50000}}
13: \Test{\normalizenumber{2.50000 }}
14: \Test{\normalizenumber{7,4}}
15: \Test{\normalizenumber{67}}
16: \Test{\normalizenumber{-15}}
17: \Test{\normalizenumber{-+ +-+ 15 }}
18: \Test{\normalizenumber{67,0000}}
19: \Test{\normalizenumber{67,0000001}}
20: \Test{\normalizenumber{68,0000 }}
21: \Test{\normalizenumber{2,80000}}
22: \Test{\normalizenumber{7,50000 }}
23: \Test{\normalizenumber{1,50000 }}
\kern\dp\strutbox
\hrule
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The following don't comply any of these two patterns:
24: \Test{\normalizenumber{}}
25: \Test{\normalizenumber{--++}}
26: \Test{\normalizenumber{--++}}
27: \Test{\normalizenumber{-1.}}
28: \Test{\normalizenumber{3.7.0000 }}
29: \Test{\normalizenumber{8,5,0000 }}
30: \Test{\normalizenumber{8,9.0000 }}
31: \Test{\normalizenumber{9.3,0000 }}
32: \Test{\normalizenumber{A.0000}}
33: \Test{\normalizenumber{1{1}1}}
34: \Test{\normalizenumber{{1},6}}
35: \Test{\normalizenumber{1,}}
36: \Test{\normalizenumber{7,~ / 8()}}
37: \Test{\normalizenumber{1{1}1}}
\kern\dp\strutbox
\hrule
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\verb|\def\macroa#1#2{- - + -00012\macrob}%|
\def\macroa#1#2{- - + -00012\macrob}%
\verb|\def\macrob{34.56000}%|
\def\macrob{34.56000}%
\verb|\normalizenumberexpandargfalse|
\normalizenumberexpandargfalse
32: \Test{\normalizenumber{\macroa{7}{8}}}
\verb|\normalizenumberexpandargtrue|
\normalizenumberexpandargtrue
33: \Test{\normalizenumber{\macroa{7}{8}}}
\end{document}