#!/usr/bin/env Python3
import numpy as np
from pdb import set_trace
import matplotlib.pyplot as plt
from matplotlib.ticker import FormatStrFormatter
from matplotlib.colors import LogNorm
import pickle
import sys
sys.path.insert(0, '/Users/joost/Dropbox/Werk/PhD/Analyses/Python/Analytical/Fourier Optics')
from fourierOptics import *


'''
	@ Author: 	Joost van den Born
'''
def saveVariable(var, filename):
	# Saving the objects:
	with open(filename, 'wb') as f:  # Python 3: open(..., 'wb')
		pickle.dump(var, f)

def loadVariable(filename):
	# Getting back the objects:
	with open(filename, 'rb') as f:  # Python 3: open(..., 'rb')
		obj = pickle.load(f)
	return obj

def phaseTilt(x,y,tx,ty):
	n,m = x.shape
	y,x = np.mgrid[-1:1:n*1j,-1:1:m*1j]
	phaseTilt = x * np.tan(np.deg2rad(tx)) + y * np.tan(np.deg2rad(ty))
	return phaseTilt


if __name__ == '__main__':
	plt.rc('font', family='serif')
	plt.rc('axes', labelsize='large')

	lList = np.linspace(1.49e-3, 1.78e-3, 29)
	Exyz_list = []
	# Pick a wavelength
	l = 1.35e-3

	# Pick sampling parameters
	dpix = 160
	n, m = 1001, 1001
	# oC = [-.75, .75, -.75, .75]
	# oC = [-1.65, -0.15,-1.65, -0.15]
	oC = [-3,3,-3,3]
	# Initiate the profiles class and pick a profile (tophat, obscured tophat or spider)
	prof = Profiles()
	A = prof.ELT_pupil(n,m,dpix)

	# Create an input grid
	x, y = np.meshgrid(np.linspace(-n/2*dpix, n/2*dpix, n), np.linspace(-m/2*dpix, m/2*dpix, m))
	# M1 = ParaxialLens(f=6.84022e5, CA=38854, name='ELT-paraxial')
	M1 = ParabolicMirror(dx=0, dy=0, name='ELT-paraxial', CA=38854, f=6.84022e5)
	M1.add_wavefront_error(phaseTilt(x,y,tx=7.5e-3, ty=7.5e-3))

	for l in lList:
		print(l)
		# Initiate Fourier Optics
		fou = FourierOptics(l=l)


		print ('Your resolution is {}x{} with a pixel size of {}'.format(n,m,dpix))

		
		# Create a lens with a focal length ~100 mm, with a clear aperture radius of 4 mm and thickness of 1 mm.
		t_l = M1.phase_delay(x,y,l)

		U_in = A * t_l

		# Propagating the original, unperturbed, system and calculating encircled energy
		Exyz_og,xp,yp = fou.fresnel_propagation(U_in, x, y, dz=M1.f, show=False, outputCoordinates=oC)
		Exyz_list.append(Exyz_og)

	Exyz = np.asarray(Exyz_list).sum(axis=0)
	plt.imshow(np.abs(Exyz), cmap='hot');plt.colorbar();plt.show()