我想寫一個巨集來刪除小數中的零。例如轉換2.0
為2
數字。
這是我嘗試刪除一零,但它不起作用並產生錯誤:
\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}
錯誤:
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
如果您只想將整數列印為整數,將非整數列印為非整數,並且因為您已經在使用數學數學,我建議使用\pgfmathprintnumber
.在第98章中有詳細描述蒂克茲手冊,但以下似乎可以滿足您的要求:
\documentclass{article}
\usepackage{tikz}
\newcommand{\isinteger}[1]{\pgfmathprintnumber[int detect,fixed]{#1}}
\begin{document}
\isinteger{1.5}
\isinteger{1.0}
\end{document}
這分別列印1.5
和1
。
另一個選擇是使用\num
from西尤尼克斯:
\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
我可以提供一個可擴展的例程\normalizenumber
來“標準化”數字。
為了解釋如何\normalizenumber
運作,除了 TeXBook 中以 Backus/Naur 表示法定義的 TeX 語法之外,讓我定義一個量⟨小數分隔符號⟩:
⟨小數分隔符號⟩→。12|, 12
的語法\normalizenumber
是:
\normalizenumber⟨undelimited argument⟩
情況1:
形成的令牌⟨undelimited argument⟩
符合該模式
⟨可選標誌⟩⟨整數常數⟩⟨一個可選空間⟩
如果是情況1
- ⟨可選標誌⟩如下所述進行轉換並交付。
- ⟨整數常數⟩刪除所有前導零後即可交付。
如果刪除所有前導零會產生空值,則會傳遞一個數字。012
- ⟨一個可選空間⟩已移除。
案例2:
形成的令牌⟨undelimited argument⟩
符合該模式
⟨可選標誌⟩⟨整數常數⟩⟨小數分隔符號⟩⟨整數常數⟩⟨一個可選空間⟩
如果是情況2
- ⟨可選標誌⟩如下所述進行轉換並交付。
- 第一個/左邊⟨整數常數⟩交付時已刪除所有前導零。
如果刪除所有前導零會產生空值,則會傳遞一個數字。012
- 如果從第二個/右邊刪除所有尾隨零⟨整數常數⟩不產生空性,那麼⟨小數分隔符號⟩已交付。
- 第二/右邊⟨整數常數⟩交付時刪除了所有尾隨零。
- ⟨一個可選空間⟩已移除。
在所有其他情況下形成 的代幣⟨undelimited argument⟩
按原樣交付。刪除
分隔的大括號⟨undelimited argument⟩
。
任何狀況之下由於\romannumeral0
擴展,結果是在兩個擴展步驟/通過“擊中”兩次後傳遞\normalizenumber
的\expandafter
。
剛才所說的話意味著,例如,\normalizenumber{1.}
返回1.
不變,因為⟨無限參數⟩ 1.
既不屬於情況 1 所描述的模式,也不屬於情況 2 所描述的模式 \normalizenumber{1.000}
。1
⟨無限參數⟩ 1.000
屬於情況 2 所描述的模式。
轉換為⟨可選標誌⟩
以防萬一⟨可選標誌⟩表示非負數,則完全不回傳任何標記。
以防萬一⟨可選標誌⟩表示負數,則為其傳回單一顯式字元標記。 如果要歸一化的數字的絕對值為 0,您將不會得到符號 — 您不會得到,但會得到。-12
-0
0
\normalizenumber
的擴展⟨無限參數⟩
\normalizenumber
在尾遞歸循環中按標記檢查其參數:如果⟨無限參數⟩並不意味著⟨無限參數⟩既不符合案例 1 的模式,也不符合案例 2 的模式,那麼它將被從⟨無限參數⟩對於下一次迭代,並且在下一次迭代中將\normalizenumber
“查看”剩餘的第一個標記⟨無限參數⟩。
有一個\if
- 開關\ifnormalizenumberexpandarg
。
如果您說\normalizenumberexpandargfalse
,則\normalizenumber
在檢查期間不展開可擴展標記,並且遇到可擴展標記意味著⟨無限參數⟩既不符合情況 1 所描述的模式,也不符合情況 2 所描述的模式。
如果你說\normalizenumberexpandargtrue
,那麼在每次迭代中都會發現⟨無限參數⟩是可擴展的,會\expandafter
在下一次迭代中用 和 來「擊中」它並檢查結果。展開第一個標記⟨無限參數⟩可能會影響後續的代幣⟨無限參數⟩。謹慎
使用\normalizenumberexpandargtrue
並保持一定程度的懷疑:
如果第一個標記是不平衡的\else
or\fi
或不平衡的\csname
,那麼您可能會收到各種奇怪的錯誤訊息。如果第一個標記被定義為觸發影響超出右大括號的標記的事件⟨無限參數⟩,那麼程序流程就會變得不可預測。如果第一個令牌被定義為自行傳遞,則您可能會陷入永無止境的循環。
\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
\kern\dp\strutbox
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
\kern\dp\strutbox
\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}