[pgf-tikz] Creating directed graphs with edge labels

[Eric Gorr]

I would like to create a directed graph with edge labels with the following
properties:

   1. edge labels do not overlap with each other
   2. edge labels do not overlap edges
   3. edge labels are drawn along the edge.

For example, I can use the following graphviz graph

digraph G {    splines=line;    rankdir=LR;    A -> B [label="a long
label"];    A -> C [label="a long label"];    A -> A [label="a very
long label"];    A -> A [label="a very long label"];    A -> D
[label="a long label"];}

to generate https://i.stack.imgur.com/34uVM.png

However, it does not seem possible to obtain a graph with edge labels with
the three properties.

Is creating a graph like this using PGF TIKZ possible? If so, any examples
for how to do so would be helpful.

Thank you.
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