[Tex/LaTex] Problem with pgf-plots and \pgfplotsset

pgfplotstikz-pgf

Sorry for the somewhat long code, this is as minimal as I could make it. The first code is for typesetting pictures to indicate how a function increases and decreases. It is taken from a previous question of mine. How to create functional-linjer

\documentclass[10pt,a4paper]{article} 
\usepackage{pgfplots}

\pgfplotsset{
    shift down/.style={
         y filter/.code={\pgfmathparse{\pgfmathresult*(#1)}}
    },
    shift down/.default=1,
    every axis plot post/.style={restrict y to domain=0.5:inf},
    positive/.style={
        no markers,
        red
    },
    negative/.style={
        no markers,
        blue
    },
    /tikz/function label/.style={
        anchor=east
    },
    step functionallinenumber/.code={
        \stepcounter{functionallinenumber}
    },
    title entries/.initial={}
}

\makeatletter
\newcommand\functionalline[4][\@empty]{
    \edef\plots{
        \noexpand\addplot [negative, shift down=#3, forget plot] {#2<0};
        \noexpand\addplot [positive, shift down=#3, forget plot] {#2>0};
    }
    \plots
    \node at (axis cs:\pgfkeysvalueof{/pgfplots/xmin},#3) [function label] {%
        \ifx#1\@empty%
            $#2$%
        \else%
            $#1$%
        \fi
    };

    \pgfplotsinvokeforeach {#4} {
       \node at (axis cs:##1,#3) [
        fill=white,
        inner sep=1pt,
        declare function={x=##1;} % Set 'x' to current position
    ] {%
    \pgfkeys{/pgf/fpu}% Use the fpu library, because it doesn't throw an error for divide by zero, but sets result to +/- inf
    \pgfmathparse{#2}%
    \pgfmathfloatifflags{\pgfmathresult}{0}{\hspace{-0.75ex}0}{x}% Check whether result is zero. The \hspace is necessary because of a bug in the fpu library
    \pgfkeys{/pgf/fpu=false}%
    };
    }   
}

\newenvironment{functionallines}[3][]{
    \begin{tikzpicture}
    \begin{axis}[        
        extra x ticks = {#2},
        grid=none,
        xticklabel pos=right,
        hide y axis,
        x axis line style={draw=none},
        every tick label/.style={
            anchor=base,
            yshift=1ex,
            gray!50
        },
        every extra x tick/.style={
            every tick label/.style={
                anchor=base,
                yshift=1ex,
                inner xsep=0pt,
                fill=white,
                text=black
            }
        },
        extra x tick style={grid=major},
        xtick pos=right,
        major tick length=0pt,
        enlarge x limits=false,
        enlarge y limits={abs=0.75},
        domain=#3,
        samples=100,
        y dir=reverse, y = -0.5cm,
        clip=false,
        #1
    ]
}{
    \coordinate (bottom right) at (rel axis cs:1,0);
    \coordinate (top right) at (rel axis cs:1,1);
    \end{axis}
    \draw [-latex] (top right-|current bounding box.west) -- (top right) node [right] {$x$};
    \draw (bottom right) -- (bottom right-|current bounding box.west);
    \end{tikzpicture}
}
\begin{document}

\begin{figure}[h!tbp]
\centering
\begin{tikzpicture}
\begin{axis}[
    scale only axis,
    grid=major,
    grid style={dashed, gray!30},
    axis lines=middle,
    inner axis line style={=>},
    ymin=-4.2,
    ymax=7.2,
    xmin=-3.2,
    xmax=3.2,
]
\addplot[color=red,thick,samples=50,domain=-3:3] {x^2-2};
\addplot[color=blue!60!white,thick,samples=50,domain=-3:3] {2*x-3};
\addplot[color=blue!30!white,thick,samples=50,domain=-3:3] {2*x-2};
\end{axis}
\end{tikzpicture}
\end{figure}

\begin{figure}[!htbp]
\centering
\begin{functionallines}[
    extra x tick labels={$-1$},
    xtick={-2,0}]{-1}{-2:0}
    \functionalline{2(x+1)}{1}{-1}
    \functionalline[f'(x) = 2x + 2]{x+1)}{2}{-1}
\end{functionallines}
\end{figure}

\end{document}

Le problem

So the problem is that normal images typeset with pgf-plots are cut, because of this. Does anyone have any advice on how to fix this? Here is a image of the problem. Any help would be obliged =)

Best Answer

Sorry for that, I should have paid more attention to the scoping in my last answer.

You can wrap all those pgfplotsset options in a new style functionallineplot, which you then only apply to the axis for the functional line. You'll need to change the #1 to ##1 in those options, but that's all the adjustment that's necessary.

\documentclass[10pt,a4paper]{article} 
\usepackage{pgfplots}

\pgfplotsset{
    functionallineplot/.style={
        shift down/.style={
             y filter/.code={\pgfmathparse{\pgfmathresult*(##1)}}
        },
        shift down/.default=1,
        every axis plot post/.style={restrict y to domain=0.5:inf},
        positive/.style={
            no markers,
            red
        },
        negative/.style={
            no markers,
            blue
        },
        /tikz/function label/.style={
            anchor=east
        },
        step functionallinenumber/.code={
            \stepcounter{functionallinenumber}
        },
        title entries/.initial={}
    }
}

\makeatletter
\newcommand\functionalline[4][\@empty]{
    \edef\plots{
        \noexpand\addplot [negative, shift down=#3, forget plot] {#2<0};
        \noexpand\addplot [positive, shift down=#3, forget plot] {#2>0};
    }
    \plots
    \node at (axis cs:\pgfkeysvalueof{/pgfplots/xmin},#3) [function label] {%
        \ifx#1\@empty%
            $#2$%
        \else%
            $#1$%
        \fi
    };

    \pgfplotsinvokeforeach {#4} {
       \node at (axis cs:##1,#3) [
        fill=white,
        inner sep=1pt,
        declare function={x=##1;} % Set 'x' to current position
    ] {%
    \pgfkeys{/pgf/fpu}% Use the fpu library, because it doesn't throw an error for divide by zero, but sets result to +/- inf
    \pgfmathparse{#2}%
    \pgfmathfloatifflags{\pgfmathresult}{0}{\hspace{-0.75ex}0}{x}% Check whether result is zero. The \hspace is necessary because of a bug in the fpu library
    \pgfkeys{/pgf/fpu=false}%
    };
    }   
}

\newenvironment{functionallines}[3][]{
    \begin{tikzpicture}
    \begin{axis}[      
        functionallineplot, 
        extra x ticks = {#2},
        grid=none,
        xticklabel pos=right,
        hide y axis,
        x axis line style={draw=none},
        every tick label/.style={
            anchor=base,
            yshift=1ex,
            gray!50
        },
        every extra x tick/.style={
            every tick label/.style={
                anchor=base,
                yshift=1ex,
                inner xsep=0pt,
                fill=white,
                text=black
            }
        },
        extra x tick style={grid=major},
        xtick pos=right,
        major tick length=0pt,
        enlarge x limits=false,
        enlarge y limits={abs=0.75},
        domain=#3,
        samples=100,
        y dir=reverse, y = -0.5cm,
        clip=false,
        #1
    ]
}{
    \coordinate (bottom right) at (rel axis cs:1,0);
    \coordinate (top right) at (rel axis cs:1,1);
    \end{axis}
    \draw [-latex] (top right-|current bounding box.west) -- (top right) node [right] {$x$};
    \draw (bottom right) -- (bottom right-|current bounding box.west);
    \end{tikzpicture}
}
\begin{document}

\begin{figure}[h!tbp]
\centering
\begin{tikzpicture}
\begin{axis}[
    scale only axis,
    grid=major,
    grid style={dashed, gray!30},
    axis lines=middle,
    inner axis line style={=>},
    ymin=-4.2,
    ymax=7.2,
    xmin=-3.2,
    xmax=3.2,
]
\addplot[color=red,thick,samples=50,domain=-3:3] {x^2-2};
\addplot[color=blue!60!white,thick,samples=50,domain=-3:3] {2*x-3};
\addplot[color=blue!30!white,thick,samples=50,domain=-3:3] {2*x-2};
\end{axis}
\end{tikzpicture}
\end{figure}

\begin{figure}[!htbp]
\centering
\begin{functionallines}[
    extra x tick labels={$-1$},
    xtick={-2,0}]{-1}{-2:0}
    \functionalline{2(x+1)}{1}{-1}
    \functionalline[f'(x) = 2x + 2]{x+1)}{2}{-1}
\end{functionallines}
\end{figure}

\end{document}

Related Solutions

[Tex/LaTex] set minor grid values in pgfplots

The incorrect position of the minor ticks for small values stems from the insufficient accuracy of the maths engine. You can increase the accuracy a fair bit by using the fpu library by replacing

y coord trafo/.code=\pgfmathparse{ln(-ln(1-#1)))}

with

y coord trafo/.code={
    \pgfkeys{/pgf/fpu=true}
    \pgfmathparse{ln(-ln(1-#1)))}
    \pgfkeys{/pgf/fpu=false}
}

but this is still not perfect.

If you have the option of compiling your document with lualatex, you can make use \directlua statements to do the calculations:

y coord trafo/.code={
    \edef\pgfmathresult{\directlua{tex.print(math.log(-math.log((1-#1))))}}
}

will give you

Close-up of the bottom left-hand corner:

If using luatex is not an option for you, you might have to write a new pgfmath function that uses precomputed tabulated data (similar to what's done for the trigonometric functions in the math parser).

To change the style of the grid lines defined using the extra y ticks, you have to use extra y tick style={yticklabels={},major grid style={red}}: The grid lines defined by the extra y ticks are major grid lines, so you have to set the major grid style within the context of the extra y tick style.

\documentclass[border=5mm]{standalone}
\usepackage{luaotfload}
\usepackage[EU2]{fontenc}
\usepackage{lmodern}
\usepackage{pgfplots}

\begin{document}
\begin{tikzpicture}
\begin{axis}[scale only axis,
  % plot style
  every axis plot/.append style={line width=1.0pt,blue},
  % labels
  xlabel=Lebensdauer $t$,
  ylabel=Ausfallhäufigkeitssumme $R(t)$,
  % axis limits
  xmin=0,xmax = 20.0,
  ymin=0.001, ymax=0.999,
  % calculate functions only in this domain
  domain=0.1:20,
  % x-axis: log scale with linear numbers
  xmode=log,log ticks with fixed point,
  % grid style
  grid=both, % major and minor for both axis (alt: major, minor, none)
  minor grid style={gray!25},
  major grid style={black!50},
  % -- set weibull plot grid positions --
  % remove tick lines
  major tick length=0pt,
  minor tick length=0pt,
  % yticks (major grid lines)
  ytick      ={0.001,0.002,0.003,0.004,0.005,
               0.01,0.02,0.03,0.04,0.05,
               0.10,0.20,0.30,0.40,0.50,0.60,0.70,0.80,0.90,0.99,0.999},
  % according labels
  yticklabels={0.1,0.2,0.3,0.4,0.5,1,2,3,4,5,10,20,30,40,50,60,70,80,90,99,99.9},
  % 
  extra y tick style={yticklabels={},major grid style={red}}, % color is ignored !
  % position of minor y-grid lines
  extra y ticks=  {0.001,0.0011,0.0012,0.0013,0.0014,0.0015,0.0016,0.0017,0.0018,0.0019,0.002,0.0021,0.0022,0.0023,0.0024,0.0025,0.0026,0.0027,0.0028,0.0029,0.003,0.00325,0.0035,0.00375,0.004,0.00425,0.0045,0.00475,0.005,0.0055,0.006,0.0065,0.007,0.0075,0.008,0.0085,0.009,0.0095,0.01,0.011,0.012,0.013,0.014,0.015,0.016,0.017,0.018,0.019,0.02,0.0225,0.025,0.0275,0.03,0.035,0.04,0.045,0.05,0.055,0.06,0.065,0.07,0.075,0.08,0.085,0.09,0.095,0.1,0.11,0.12,0.13,0.14,0.15,0.16,0.17,0.18,0.19,0.2,0.21,0.22,0.23,0.24,0.25,0.26,0.27,0.28,0.29,0.3,0.32,0.34,0.36,0.38,0.4,0.42,0.44,0.46,0.48,0.5,0.52,0.54,0.56,0.58,0.6,0.62,0.64,0.66,0.68,0.7,0.72,0.74,0.76,0.78,0.8,0.82,0.84,0.86,0.88,0.9,0.909,0.918,0.927,0.936,0.945,0.954,0.963,0.972,0.981,0.99,0.991,0.992,0.993,0.994,0.995,0.996,0.997,0.998,0.999},
  % tic position calculation (coord. transformation)
  % must be below the tick positions !
  y coord trafo/.code={
    \edef\pgfmathresult{\directlua{tex.print(math.log(-math.log((1-#1))))}}
%   \pgfkeys{/pgf/fpu=true}
%   \pgfmathparse{ln(-ln(1-#1)))}
%   \pgfkeys{/pgf/fpu=false}
  }
]
%
\addplot[domain=0.01:100, sharp plot] gnuplot{ 1-exp(-x**2)};
\end{axis} 
\end{tikzpicture}

\end{document}

[Tex/LaTex] plotting two time series with bounds

This happens because PGFPlots only uses one "stack" per axis: You're stacking the second confidence interval on top of the first. The easiest way to fix this is probably to use the approach described in "Is there an easy way of using line thickness as error indicator in a plot?": After plotting the first confidence interval, stack the upper bound on top again, using stack dir=minus. That way, the stack will be reset to zero, and you can draw the second confidence interval in the same fashion as the first:

\documentclass{standalone}
\usepackage{pgfplots, tikz}

\usepackage{pgfplotstable}

\pgfplotstableread{
temps   y_h y_h__inf    y_h__sup    y_f y_f__inf    y_f__sup    

1   0.237340    0.135170    0.339511    0.237653    0.135482    0.339823    
2   0.561320    0.422007    0.700633    0.165871    0.026558    0.305184    
3   0.694760    0.534205    0.855314    0.074856    -0.085698   0.235411    
4   0.728306    0.560179    0.896432    0.003361    -0.164765   0.171487    
5   0.711710    0.544944    0.878477    -0.044582   -0.211349   0.122184    
6   0.671241    0.511191    0.831291    -0.073347   -0.233397   0.086703    
7   0.621177    0.471219    0.771135    -0.088418   -0.238376   0.061540    
8   0.569354    0.431826    0.706882    -0.094382   -0.231910   0.043146    
9   0.519973    0.396571    0.643376    -0.094619   -0.218022   0.028783    
10  0.475121    0.366990    0.583251    -0.091467   -0.199598   0.016664    
}{\table}

\begin{document}
\begin{tikzpicture}

    \begin{axis}
    % y_h confidence interval
    \addplot [stack plots=y, fill=none, draw=none, forget plot]   table [x=temps, y=y_h__inf]   {\table} \closedcycle;
    \addplot [stack plots=y, fill=gray!50, opacity=0.4, draw opacity=0, area legend]   table [x=temps, y expr=\thisrow{y_h__sup}-\thisrow{y_h__inf}]   {\table} \closedcycle;
    % subtract the upper bound so our stack is back at zero
    \addplot [stack plots=y, stack dir=minus, forget plot, draw=none] table [x=temps, y=y_h__sup] {\table};

    % y_f confidence interval
    \addplot [stack plots=y, fill=none, draw=none, forget plot]   table [x=temps, y=y_f__inf]   {\table} \closedcycle;
    \addplot [stack plots=y, fill=gray!50, opacity=0.4, draw opacity=0, area legend]   table [x=temps, y expr=\thisrow{y_f__sup}-\thisrow{y_f__inf}]   {\table} \closedcycle;

    % the line plots (y_h and y_f)    
    \addplot [stack plots=false, very thick,smooth,blue]  table [x=temps, y=y_h]   {\table};
    \addplot [stack plots=false, very thick,smooth,blue]  table [x=temps, y=y_f]   {\table};
    \end{axis}

\end{tikzpicture}
\end{document}

Best Answer

Related Solutions

[Tex/LaTex] set minor grid values in pgfplots

[Tex/LaTex] plotting two time series with bounds

Related Question