#!/usr/bin/env Python3
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.ticker import FormatStrFormatter
from matplotlib.colors import LogNorm
import sys
sys.path.insert(0, '/Users/joost/Dropbox/Werk/PhD/Documents/Published/FourierOptics GitHub release/')
from fourierOptics import *

'''
	Description:
	This script was a first attempt at simulating the concept
	described in Pathak et al., 2016. We apply a waffle pattern
	to the incoming wavefront to create artificial speckles next
	to the PSF core. If atmospheric dispersion is present for
	a broadband observation, then these speckles will point to a 
	common intersection point outside of the PSF core.
'''

plt.rc('font', family='serif')
plt.rc('axes', labelsize='large')

# Parameters
dpix 		= 160
n, m 		= 1001, 1001
oC 			= [-2.5, 2.5, -2.5, 2.5]
l 			= 1.49e-3						# wavelength
lList = np.linspace(1.49e-3, 1.78e-3, 11).tolist()

dispMax = 17.9e-3 / 3600 # degrees
dispersion = np.linspace(0, dispMax, len(lList)).tolist()

Exyz_list = []

print ('Your resolution is {}x{} with a pixel size of {}'.format(n,m,dpix))
# Start of the ELT-lens system
# Initiate Fourier Optics, profile and wavefront error objects
for l in lList: 
	i = lList.index(l)
	print(l, dispersion[i])
	fou = FourierOptics(l=l)
	prof = Profiles()
	wfe = WavefrontError(n,m)
	

	# A = prof.top_hat(38854/2, n, m, dpix=dpix, oversample=1)
	A = prof.ELT_pupil(n,m,dpix)

	# Create an input grid, equivalent to the size of ELT-M1
	x, y = np.meshgrid(np.linspace(-n/2*dpix, n/2*dpix, n), np.linspace(-m/2*dpix, m/2*dpix, m))

	# Create a ELT-M1 parabolic mirror
	M1 = ParabolicMirror(dx=0, dy=0, name='ELT-M1', CA=38854/2, f=679945)
	t_l = M1.phase_delay(x,y,l)
	U_in = A * t_l

	z = wfe.generate_sine_pattern(1e-4, 1e-4, 180, 180)
	dispersion_tilt = wfe.generate_tilt(x,y,tx=0, ty=dispersion[i])
	# psd_surface = wfe.generate_height_map(30e-6, 2, 1)

	M1.add_wavefront_error(z+dispersion_tilt)# + psd_surface)
	t_l = M1.phase_delay(x,y,l)
	U_in2 = A * t_l


	# Propagating the original, unperturbed, system and calculating encircled energy
	Exyz_s,xs,ys = fou.fresnel_propagation(U_in2, x, y, dz=M1.f, show=False, outputCoordinates=oC)

	Exyz_list.append(Exyz_s)

Exyz_s = np.asarray(Exyz_list).sum(axis=0)
plt.imshow(np.abs(Exyz_s), cmap='hot');plt.colorbar();plt.show()
plt.imshow(np.abs(Exyz_s)**2, cmap='hot', norm=LogNorm(vmin=1e-7));plt.colorbar();plt.show()