I want to load a mesh file using TetGen library in C++ but I don't know the right procedure or what switches to activate in my code in order to show the Constrained Delaunay mesh.
I tried something basic loading of a dinosaur mesh (from rocq.inria.fr) with default behavior:
tetgenio in, out;
in.firstnumber = 0;
in.load_medit("TetGen\\parasaur1_cut.mesh",0);
tetgenbehavior *b = new tetgenbehavior();
tetrahedralize(b, &in, &out);
The shape is supposed to be like this:

When using TetView it works perfectly. But with my code I got the following result:

I tried to activate the Piecewise Linear Complex (plc) property for Delaunay Constraint:
b->plc = 1;
and I got just a few parts from the mesh:

Maybe there are more parts but I don't know how to get them.
That looks a lot like you might be loading a quad mesh as a triangle mesh or vice versa. One thing is clear, you are getting the floats from the file, since the boundaries of the object look roughly correct. Make certain you are loading a strictly triangle or quad-based mesh. If it is a format that you can load into Blender, I'd recommend loading it, triangulating it, and re-exporting it, just in case a poly snuck into there.
Another possibility is an indexing off by one error. Are you sure you are getting each triangle/quad in the correct order? Which is to say -- make sure you are loading triangles 123 123 123 and NOT 1 231 231 231.
One other possibility, if this format indexes all of the vertices, and then lists the indexes of the vertices, you might be loading all of the vertices correctly, and then getting the indexes of the triangles/quads messed up, as described in the previous two paragraphs. I'm thinking this is the case, since it looks like all of your points are correct, but the lines connecting them are way wrong.