#165 Add a plotting function for 1D to the Python version
What and Why
Plotting has never been very useful in the C++ code, and issue [#110] is not going to change that, I fear. The basic problem is that we write out Gnuplot files that the user has to run to get some postscript files that she can look at or bundle together into a movie. This is way too complicated for "just looking at the wavefunction".
On the other hand, Python comes with this nice matplotlib package that allows very simple Matlab-style plots. A simple improvement would be then to add a special python-only observer to the Python package that does the plotting using Matplotlib and Python-only code.
Here, we only make a small demo in the form of a 1D wavefunction plotter. While pretty straightforward in principle, there are some risks associated with this issue
- It may be that we have to modify the build process to bundle the C++-based Python interface and some additional Python code into a module. Needs some thinking and testing.
- The plotting module should be a PropagationObserver, so that it can be used "natively". This may require trampoline classes and all that complexity that I have avoided so far.
Note: Plotting always requires the DVR, not the weighted DVR like virtually everything else.
- Added the whole infrastructure to support various observers and filters written in Python, in particular with a separate package for Python-only extensions (i.e., plotters)
- Added two rudimentary Plotters with a few customization arguments (ranges etc.)
- added file output, but no video => this is a bit more involved
- rearranged and cleaned up the building of the Python code
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