Scaled ticks with ymin and ymax

Question

For a publication I am preparing multiple plots with PGFPlots and would like to have them all look alike, i.e. having the same axis and identical ticks. For this I intended to use ymin and ymax, but then PGFPlots doesn't seem to respect scaled ticks=true.

I've tried to boil it down to the fairly minimal example below, showing the effect of setting the different parameters.. I'd like to achieve the plot in the lower right corner, but with scaled ticks. What am I doing wrong?

\documentclass{article}
\usepackage{pgfplots}
        \pgfplotsset{compat=newest,width=6cm}
\usepackage[pdftex,active,tightpage]{preview}
\begin{document}
    \begin{preview}
        \begin{tikzpicture}
            \begin{axis}[ title=Nothing ]
                \addplot [red] coordinates { (0,0.0003) (1,0.0004) };
            \end{axis}
        \end{tikzpicture}
        \begin{tikzpicture}
            \begin{axis}[ title={Scaled Ticks \emph{false}},
                    scaled ticks=false  ]
                \addplot [green] coordinates { (0,0.0003) (1,0.0004) };
            \end{axis}
        \end{tikzpicture}
        \begin{tikzpicture}
            \begin{axis}[ title={Scaled ticks \emph{true} with ymax},
                    scaled ticks=true,
                    ymax=0.0005 ]
                \addplot [blue] coordinates { (0,0.0003) (1,0.0004) };
            \end{axis}
        \end{tikzpicture}
        \begin{tikzpicture}
            \begin{axis}[ title={Scaled ticks \emph{true} with ymax \& ymin},
                    scaled ticks=true,
                    ymax=0.0005,
                    ymin=0 ]
                \addplot [cyan] coordinates { (0,0.0003) (1,0.0004) };
            \end{axis}
        \end{tikzpicture}
    \end{preview}
\end{document}

Answer 1

This seems to be a bug in PGFPlots (update 22 January 2012: This has now been fixed): Whenever the minimum or maximum value of an axis is exactly 0, the scaling isn't applied. You can patch an internal macro to check and account for this.

\documentclass{article}
\usepackage{pgfplots}
\pgfplotsset{compat=newest,width=6cm}

%
\makeatletter
\def\pgfplots@init@scaled@tick@for#1{%
    \global\def\pgfplots@glob@TMPa{0}%
    \expandafter\pgfplotslistcheckempty\csname pgfplots@prepared@tick@positions@major@#1\endcsname
    \ifpgfplotslistempty
        % we have no tick labels. Omit the tick scale label as well!
    \else
    \begingroup
    \ifcase\csname pgfplots@scaled@ticks@#1@choice\endcsname\relax
    % CASE 0 : scaled #1 ticks=false: do nothing here.
    \or
        % CASE 1 : scaled #1 ticks=true:
        %--------------------------------
        % the \pgfplots@xmin@unscaled@as@float  is set just before the data
        % scale transformation is initialised.
        %
        % The variables are empty if there is no datascale transformation.
        \expandafter\let\expandafter\pgfplots@cur@min@unscaled\csname pgfplots@#1min@unscaled@as@float\endcsname
        \expandafter\let\expandafter\pgfplots@cur@max@unscaled\csname pgfplots@#1max@unscaled@as@float\endcsname
        %
        \ifx\pgfplots@cur@min@unscaled\pgfutil@empty
            \edef\pgfplots@loc@TMPa{\csname pgfplots@#1min\endcsname}%
            \expandafter\pgfmathfloatparsenumber\expandafter{\pgfplots@loc@TMPa}%
            \let\pgfplots@cur@min@unscaled=\pgfmathresult
            \edef\pgfplots@loc@TMPa{\csname pgfplots@#1max\endcsname}%
            \expandafter\pgfmathfloatparsenumber\expandafter{\pgfplots@loc@TMPa}%
            \let\pgfplots@cur@max@unscaled=\pgfmathresult
        \fi
        %
        \expandafter\pgfmathfloat@decompose@E\pgfplots@cur@min@unscaled\relax\pgfmathfloat@a@E
        \expandafter\pgfmathfloat@decompose@E\pgfplots@cur@max@unscaled\relax\pgfmathfloat@b@E
        \ifnum\pgfmathfloat@a@E=0%
            \pgfmathfloat@a@E=\pgfmathfloat@b@E%
        \fi%
        \ifnum\pgfmathfloat@b@E=0%
            \pgfmathfloat@b@E=\pgfmathfloat@a@E%
        \fi%
        \ifnum\pgfmathfloat@b@E<\pgfmathfloat@a@E%
            \pgfmathfloat@b@E=\pgfmathfloat@a@E%
        \fi
        \xdef\pgfplots@glob@TMPa{\pgfplots@scale@ticks@above@exponent}%
        \expandafter\ifnum\pgfplots@glob@TMPa<\pgfmathfloat@b@E
            % ok, scale it:
            \multiply\pgfmathfloat@b@E by-1
            \xdef\pgfplots@glob@TMPa{\the\pgfmathfloat@b@E}%
        \else
            \xdef\pgfplots@glob@TMPa{\pgfplots@scale@ticks@below@exponent}%
            \expandafter\ifnum\pgfplots@glob@TMPa>\pgfmathfloat@b@E
                % ok, scale it:
                \multiply\pgfmathfloat@b@E by-1
                \xdef\pgfplots@glob@TMPa{\the\pgfmathfloat@b@E}%
            \else
                % no scaling necessary:
                \xdef\pgfplots@glob@TMPa{0}%
            \fi
        \fi
    \or
        % CASE 2 : scaled #1 ticks=base 10:
        %--------------------------------
        \c@pgf@counta=\csname pgfplots@scaled@ticks@#1@arg\endcsname\relax
        %\multiply\c@pgf@counta by-1
        \xdef\pgfplots@glob@TMPa{\the\c@pgf@counta}%
    \or
        % CASE 3 : scaled #1 ticks=real:
        %--------------------------------
        \pgfmathfloatparsenumber{\csname pgfplots@scaled@ticks@#1@arg\endcsname}%
        \global\let\pgfplots@glob@TMPa=\pgfmathresult
    \or
        % CASE 4 : scaled #1 ticks=manual:
        \expandafter\global\expandafter\let\expandafter\pgfplots@glob@TMPa\csname pgfplots@scaled@ticks@#1@arg\endcsname
    \fi
    \endgroup
    \fi
    \expandafter\let\csname pgfplots@tick@scale@#1\endcsname=\pgfplots@glob@TMPa%
}
\makeatother
%

\begin{document}
\begin{tikzpicture}
    \begin{axis}[ title={Scaled ticks \emph{true} with ymax \& ymin},
        scaled y ticks=true,
        ymax=0.0008, ymin=0
    ]
        \addplot [cyan, domain=0:10] {0.0001*x};
    \end{axis}
\end{tikzpicture}
\end{document}