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有关的

tag-icon • tag-icon tikz-pgf pgfplots bugs tikzmath
有关的

pgfplots使用语法定义的函数进行绘图tikzmath function似乎不起作用。

错误信息：

! Illegal unit of measure (pt inserted).
<to be read again> 
                   Y
l.30     \addplot {myAbsConditional(x)} ;

Dimensions can be in units of em, ex, in, pt, pc,
cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one!
I'll assume that you meant to say pt, for printer's points.
To recover gracefully from this error, it's best to
delete the erroneous units; e.g., type `2' to delete
two letters. (See Chapter 27 of The TeXbook.)

! Missing = inserted for \ifdim.
<to be read again> 
                   Y
l.30     \addplot {myAbsConditional(x)} ;

I was expecting to see `<', `=', or `>'. Didn't.

代码 ：

\documentclass[tikz]{standalone}
\usetikzlibrary{math}
\usepackage{pgfplots}
\tikzmath
{
  function myAbs (\x) % this function can be plotted...
  {
    return (2 * (\x > 0) - 1 ) * \x;
  };
  function myAbsConditional(\x) % ... but not this one !
  {
    if (\x > 0) then
    {
      return \x;
    }
    else
    { 
      return -\x;
    };
  };
  % let's check that the function works :
  \a = myAbsConditional(-3);
  \b = myAbsConditional(2);
}
\begin{document}
\begin{tikzpicture}
  \begin{axis}
    %\addplot {myAbs(x)} ; % this is OK
    % the myAbsConditional function works all right ...
    \node {\a\b} ;                    
    \addplot {myAbsConditional(x)} ; % ... but cannot be plotted
  \end{axis}
\end{tikzpicture}
\end{document}

这是一个错误吗？是否应该修改带有条件的函数？

答案1

这是一个错误。tikzmath解析 if 条件时，它使用以下代码

\def\tikz@math@if@@doif{%
  \pgfmathparse{\tikz@math@if@condition}%
  \ifdim\pgfmathresult pt=0pt\relax%
  \else%
      \expandafter\tikz@math\expandafter{\tikz@math@if@trueaction}%
  \fi%
  \tikz@math@parse%
}

如果您熟悉FPU，您会发现代码不起作用，因为\pgfmathresult是1Y1.0e0]或类似的东西。

解决方案是在打开时强制转换FPU。如下所示

\def\tikz@math@if@@doif{%
    \pgfmathparse{\tikz@math@if@condition}%
    \ifpgfmathfloatparseactive%               <--- Notice this
        \pgfmathfloattofixed{\pgfmathresult}% <--- Notice this
    \fi%                                      <--- Notice this
    \ifdim\pgfmathresult pt=0pt\relax%
    \else%
        \expandafter\tikz@math\expandafter{\tikz@math@if@trueaction}%
    \fi%
    \tikz@math@parse%
}

也需要改变这一点

\def\tikz@math@if@@doifelse{%
    \pgfmathparse{\tikz@math@if@condition}%
    \let\tikz@math@if@falseaction=\tikz@math@collected%
    \ifpgfmathfloatparseactive%               <--- Notice this
        \pgfmathfloattofixed{\pgfmathresult}% <--- Notice this
    \fi%                                      <--- Notice this
    \ifdim\pgfmathresult pt=0pt\relax%
        \expandafter\tikz@math\expandafter{\tikz@math@if@falseaction}%
    \else%
        \expandafter\tikz@math\expandafter{\tikz@math@if@trueaction}%
    \fi%
    \tikz@math@parse%
}

有关的

在 pgfmath 中使用 ifthenelse可能会有帮助。

这不再是问题，因为ifthenelse现在已得到官方支持。尽管如此，想法是一样的。

数学家

\documentclass[tikz]{standalone}
\usetikzlibrary{math}
\usepackage{pgfplots}

\makeatletter
\def\tikz@math@if@@doif{%
    \pgfmathparse{\tikz@math@if@condition}%
    \ifpgfmathfloatparseactive%                 <--- Notice this
        \pgfmathfloattofixed{\pgfmathresult}%   <--- Notice this
    \fi%                                        <--- Notice this
    \ifdim\pgfmathresult pt=0pt\relax%
    \else%
        \expandafter\tikz@math\expandafter{\tikz@math@if@trueaction}%
    \fi%
    \tikz@math@parse%
}
\def\tikz@math@if@@doifelse{%
    \pgfmathparse{\tikz@math@if@condition}%
    \let\tikz@math@if@falseaction=\tikz@math@collected%
    \message{^^JCheck this: \pgfmathresult^^J}% <--- Notice this
    \ifpgfmathfloatparseactive%                 <--- Notice this
        \pgfmathfloattofixed{\pgfmathresult}%   <--- Notice this
    \fi%                                        <--- Notice this
    \message{^^JCheck again: \pgfmathresult^^J}%<--- Notice this
    \ifdim\pgfmathresult pt=0pt\relax%
        \expandafter\tikz@math\expandafter{\tikz@math@if@falseaction}%
    \else%
        \expandafter\tikz@math\expandafter{\tikz@math@if@trueaction}%
    \fi%
    \tikz@math@parse%
}

\tikzmath
{
  function myAbs (\x) % this function can be plotted...
  {
    return (2 * (\x > 0) - 1 ) * \x;
  };
  function myAbsConditional(\x) % ... but not this one !
  {
    if (\x > 0) then
    {
      return \x;
    }
    else
    { 
      return -\x;
    };
  };
  % let's check that the function works :
  \a = myAbsConditional(-3);
  \b = myAbsConditional(2);
}
\begin{document}

\begin{tikzpicture}
  \begin{axis}
    \addplot {myAbs(x)} ; % this is OK
    % the myAbsConditional function works all right ...
    \node {\a\b} ;                    
    \addplot {myAbsConditional(x)} ; % ... but cannot be plotted
  \end{axis}
\end{tikzpicture}
\end{document}

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