[Tex/LaTex] Arrow heads as plot marks

arrowsdecorationsnodespgfplots

I would like to draw a plot and put arrow heads pointing in the
direction of the plot instead of marks.

My first idea was to use the quiver option from pgfplots by
duplicating and stagering the columns of my data table.
I was not succesful with thisowever.
In addition, this require some additional manipulation and is not very
felxible if it becomes, for instance, necessary to draw only a fex
arrows.

My second idea was to get the nodes and draw a tikz path.
i thought about nodes near coord but did not find any means to
retreive the nodes names outside the axis command.

I ended up with the following code using decoration (as in this
question) :

\documentclass{article}
\usepackage{pgfplots}

 \usetikzlibrary{decorations.markings}

\begin{document}
\pgfplotstableread {%
1 0
0.9424764947 0.07142857143
0.8807513856 0.1428571429
0.814278019 0.2142857143
0.7433146111 0.2857142857
0.6680059078 0.3571428571
0.5883915727 0.4285714286
0.5054583078 0.5
0.4203175805 0.5714285714
 0.3328127843 0.6428571429
 0.2485549667 0.7142857143
 0.1694124286 0.7857142857
 0.09704848952 0.8571428571
 0.03951561078 0.9285714286
 0 1
}\table
\begin{tikzpicture}[baseline, trim axis left, trim axis right]
  \pgfplotsset{ref/.style={mark=o}}
  \begin{axis}
    \addplot[ref] table[x index=0, y index=1] {\table}
    [postaction={decorate, decoration={markings,
        mark=between positions 1/15 and 1 step 1/15 with {\arrow[red,line width=.5pt]{>};}
      }}]
    ;

  \end{axis}
\end{tikzpicture}

\end{document}

Here is the result:

red arros should take place of circles

The problem is to get the red arrows where the circles are.
How could this be done?

The two following question are related but my main problem her is more to get the nodes from the table input.

Decorate path with arrows at nodes

How to decorate a path with arrows at certain coordinates?

The following question that I asked to solve a different problem happens to be applicable here:

naming-the-nodes-of-nodes-near-coords

Indeed, once the node are names, some pgf path can be traced to link them.

Best Answer

I see you aren't using any smoothing algorithm, so each arrow line is parallel to each line segment. Then, instead of drawing a polygonal chain, you can draw many arrow lines connected each other (pgfplots supports TikZ arrow styles). To do this, you need to select two consecutive rows at a time from the table, by means of pgfplotstable commands.

\documentclass{article} 
\usepackage{pgfplots} 

\begin{document} 
\pgfplotstableread {% 
1 0 
0.9424764947 0.07142857143 
0.8807513856 0.1428571429 
0.814278019 0.2142857143 
0.7433146111 0.2857142857 
0.6680059078 0.3571428571 
0.5883915727 0.4285714286 
0.5054583078 0.5 
0.4203175805 0.5714285714 
0.3328127843 0.6428571429 
0.2485549667 0.7142857143 
0.1694124286 0.7857142857 
0.09704848952 0.8571428571 
0.03951561078 0.9285714286 
0 1 
}\table

\pgfplotstablegetrowsof{\table} 
\pgfmathsetmacro{\rows}{\pgfplotsretval-2}

\begin{tikzpicture} [baseline, trim axis left, trim axis right] 
\begin{axis}
\foreach \k in {0,...,\rows}
  {
   \pgfplotstablegetelem{\k}{[index]0}\of\table 
   \let\x\pgfplotsretval
   \pgfplotstablegetelem{\k}{[index]1}\of\table 
   \let\y\pgfplotsretval
   \pgfmathsetmacro{\K}{\k+1}
   \pgfplotstablegetelem{\K}{[index]0}\of\table 
   \let\X\pgfplotsretval
   \pgfplotstablegetelem{\K}{[index]1}\of\table 
   \let\Y\pgfplotsretval
   \addplot [blue,->] coordinates {(\x,\y) (\X,\Y)};
  }
\end{axis} 
\end{tikzpicture} 
\end{document}

enter image description here

As \k goes from the 0th to the second last line of the table, \K goes from the 1th to the last, so that you can draw n-1 consecutive arrow segments. At each step, you get the coordinates of the starting point (\x,\y) and those of the ending point (\X,\Y), then you draw an arrow segment.

Maybe there is a faster, simpler and more elegant way of doing this, but I don't know it.

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