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I was able to reproduce the bug with the latest release of CGAL.
Thanks for reporting it and providing a small manageable program.
We'll fix it and let you know.

Quoting tofa 
<>:

> When calling minkowski_sum_2 CGAL hits assertion cv.is_in_x_range. I'm using
> CGAL 3.5.1-1 preinstalled on ubuntu.
> The following is the output of the small program that reproduces the bug (if
> it is a bug), which I attach here
> http://cgal-discuss.949826.n4.nabble.com/file/n3225522/main.cpp main.cpp .
>
> tomas@zlatan:~/tomologic/cgal_bug
>  $ make && ./cgal_bug
> g++ -fPIC -c -frounding-math -g -I/usr/lib/jvm/java-6-sun/include
> -I/usr/lib/jvm/java-6-sun/include/linux  main.cpp -o main.o
> g++ -Wl,-soname,cgal_bug -o cgal_bug -L/lib -Wl,-rpath,/lib -lCGAL -lmpfr
> -lgmp -lCGAL_Core -lboost_thread-mt main.o
> The polygon a is simple.
> The polygon b is simple.
> The polygon a is not convex.
> The polygon b is not convex.
> The polygon a is not clockwise oriented.
> The polygon b is not clockwise oriented.
> terminate called after throwing an instance of
> 'CGAL::Precondition_exception'
>   what():  CGAL ERROR: precondition violation!
> Expr: cv.is_in_x_range (p)
> File: /usr/include/CGAL/Arr_segment_traits_2.h
> Line: 486
> Aborted
> tomas@zlatan:~/tomologic/cgal_bug
> --
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