JWST computation is now double precision, changed type of variables in JWST_data_processor to float64, complex128

Compared result to matlab result:

After 1 iteration:

Maximum norm of difference:
2.25868816441e-12
Frobenius norm of difference:
1.9427347826e-11

After 500 iterations:

Maximum norm of difference:
8.35619946335e-05
Frobenius norm of difference:
0.00514996012436

So JWST seems to be working now...
Also epsilon in magproj was changed back to 1e-30 (no overflow with double precision)

Do some precalculations in Approx_P_JWST_Poisson for better performance. This modification results in ~20% less computation time for JWST (500 Iterations).

In phase moved comparision with matlab results to method compare_to_matlab. This is only intended to be used for testing. Note u_0 needs to be fixed in a specific way, noise should be switched off.
Added test for 1 Iteration: After 1 Iteration maximum norm of difference is 5.4e-06, Forbenius norm of difference is 2.5e-05.

ProxPython is now using the built-in random generator numpy.random.poisson. According to the comments in PossionRan the argument is the mean (often called lambda). I also checked Numerical Recipes p. 294. Therefore calling

numpy.random.poisson(x)

should yield the same as calling

PoissonRan(x).

This resolves the overflow issue with PoissonRan, but I still get the following warnings:

../proxtoolbox/ProxOperators/proxoperators.py:265: RuntimeWarning: divide by zero encountered in true_divide
tmp = U_sq/data_sq[:,:,j];
../proxtoolbox/ProxOperators/proxoperators.py:265: RuntimeWarning: invalid value encountered in true_divide
tmp = U_sq/data_sq[:,:,j];

Therefore I had a look at the following line in JWST_data_processor:

k[:,:,i]=np.round(k[:,:,i])

From my understanding it is very likely to get zeros when rounding.

I noted that after commenting out above line, there were no further warnings and the algorithm did converge nicely.

Adjusted Input, import paths in JWST_data_processor

Fixed bug in RAAR

Fixed bugs in phase.py

Added argument dim to JWST_in, was required by ProxOperators

Added ProxOperator P_amp

Added ProxOperator Approx_P_JWST_Poisson: still needs to be tested

Changed comments in JWST_in and deleted duplicate
Modified Phase_JWST_demo.py to test phase.py

JWST_data_processor is now using the right Resize function from Utilities, norm_rt_data now matches norm_rt_data from the matlab version,
but other values still need to be checked.

Continued fixing JWST_data_processor, but JWST_data_prcessor is still not working correctly

Moved and renamed phase test script script.py
Made some progress on JWST_data_processor

Added FFT in Utilities/Utilities.py , FFT was tested and should work like the equivalent in the ProxMatlab.
But there are still issues with row-major order vs. column-major order, therefore implementation might not be efficient.