I struggle positioning text above or below paths that I draw in TikZ.
Here is an example:
\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{
arrows,
scopes,
decorations.pathmorphing,
decorations.markings}
\begin{document}
\tikzstyle{doublepath}=
[draw, line width=2mm, shorten >=4.9mm, shorten <=4.9mm,
decoration={markings,
mark=at position 0 with {\arrow[line width=1mm, scale=-1]{triangle 45}},
mark=at position .999 with {\arrow[line width=1mm]{triangle 45}}},
postaction={decorate}]
\tikzstyle{strength}=[midway,thin,inner sep=0,outer sep=0,sloped]
\begin{tikzpicture}[font=\sffamily]
\path node[align=center] (A) {A};
\path (0,6) node[align=center] (B) {B};
\path (6,0) node[align=center] (C) {C};
\path (6,6) node[align=center] (D) {D};
\draw[doublepath,in=270-20,out=90+20] (A) to node [strength,below=2.36mm] {Label 1} (B) ;
\draw[doublepath,in=270+20,out=90-20] (A) to node [strength,below=2.36mm] {Label 2} (B) ;
\draw[doublepath,in=270-20,out=90+20] (C) to node [strength,below=2.36mm,pos=.49] {Label 1} (D) ;
\draw[doublepath,in=270+20,out=90-20] (C) to node [strength,below=2.36mm,pos=.49] {Label 2} (D) ;
\draw[doublepath,in=270+20,out=90-20] (C) to node [strength,below=2.36mm,pos=.51] {Label 3} (D) ;
\draw[doublepath,in=180-20,out=0+20] (A) to node [strength,below=2.36mm,pos=.49] {Label 4} (C) ;
\draw[doublepath,in=180-20,out=0+20] (A) to node [strength,below=2.36mm,pos=.51] {Label 5} (C) ;
\draw[doublepath,in=180+20,out=0-20] (A) to node [strength,below=2.36mm] {Label 6} (C) ;
\end{tikzpicture}
\end{document}
The problem I encounter is that "above" and "below" seem to refer to the document (above = towards the top, below = towards the bottom) and not to the left or right side of the path that is drawn.
With a vertical path, above and below seem no longer defined. If the path is curved as in the example, a slight shift in position will flip the node text from one side to the other (Labels 2 and 3 in the example are at position 0.49 and 0.51). I understand the logic of this, but it does not help solve my problem. There are options left= and right=, but these will anchor the node differently and shift the label along the path.
(a related question is whether it is possible to have the text always with the baseline to the left, for example, regardless of whether it is above or below the path, relative to the path's direction. I tried rotate=180, but this also changes the distance to the path because the anchor is not in the middle).
How can I solve this problem? Ideally I'd like to have a possibility to place the text left or right for vertical paths, or specify the side of the text relative to the path's direction. Also, it would be great to be able to rotate the text so that all text is readable from the same side, regardless of whether the text is above or below a path. I am happy to do some fine tuning; however, currently it is really awkward because as soon as I change the direction or extent to which a predominantly vertical path is curved, the label may flip to the other side.