utils.py 17.6 KB
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from __future__ import absolute_import, division, print_function

from pathlib import Path
import os
import numpy as np
import matplotlib.pyplot as plt

from multiprocessing import Pool, cpu_count
from functools import partial

from astropy import units as u
from astropy.io import ascii
from astropy.wcs import WCS
from astropy.utils.console import ProgressBar
from astropy.table import vstack

from scipy.optimize import curve_fit

from nikamap import NikaMap, Jackknife
from nikamap.utils import pos_uniform
from astropy.io import fits
from astropy.table import Table, MaskedColumn
import sys
from mpl_toolkits.axes_grid1 import make_axes_locatable
import dill as pickle
from matplotlib.ticker import FormatStrFormatter
from collections import OrderedDict


def find_nearest(array, values):
    x, y = np.meshgrid(array, values)
    ev = np.abs(x - y)
    return np.argmin(ev, axis=1)


def add_axis(name, range, bins, unit=None, i_axe=3, log=False):
    """Define a dictionnary for additionnal wcs axes (linear or log)"""

    header = {'CTYPE{}'.format(i_axe): name,
              'CRPIX{}'.format(i_axe): 1,
              'CUNIT{}'.format(i_axe): unit}

    if log:
        # Log scale (edges definition)
        log_step = (np.log(range[1]) - np.log(range[0])) / bins
        center_start = np.exp(np.log(range[0]) + log_step / 2)
        header['CTYPE{}'.format(i_axe)] += '-LOG'
        header['CRVAL{}'.format(i_axe)] = center_start
        header['CDELT{}'.format(i_axe)] = log_step * center_start

        # Log scale (center definition)
        # log_step = (np.log(flux_range[1]) - np.log(flux_range[0])) / (bins-1)
        # center_start = range[0]

    else:
        # Linear scale (edges definition)
        step = (range[1] - range[0]) / bins
        header['CRVAL{}'.format(i_axe)] = range[0] + step / 2
        header['CDELT{}'.format(i_axe)] = step

        # Linear scale (center definition)
        # step = (range[1] - range[0]) / (bins-1)

    return header


def completness_purity_wcs(shape, wcs, bins=30,
                           threshold_range=(0, 1), threshold_bins=10,
                           threshold_log=False):
    """Build a wcs for the completness_purity function"""

    slice_step = np.ceil(np.asarray(shape) / bins).astype(int)
    celestial_slice = slice(0, shape[0], slice_step[0]), slice(0, shape[1],
                                                               slice_step[1])

    # [WIP]: Shall we use a 4D WCS ? (ra/dec flux/threshold)
    # [WIP]: -TAB does not seems to be very easy to do with astropy
    # Basicaly Working... .
    header = wcs[celestial_slice[0], celestial_slice[1]].to_header()
    header['WCSAXES'] = 3

    header.update(add_axis('THRESHOLD', threshold_range, threshold_bins,
                           i_axe=3))

    return (bins, bins, threshold_bins), WCS(header)


def completness_worker(shape, wcs, sources, fake_sources, min_threshold=2,
                       max_threshold=5):
    """Compute completness from the fake source catalog

    Parameters
    ----------
    shape : tuple
        the shape of the resulting image
    sources : :class:`astropy.table.Table`
        the detected sources
    fake_sources : :class:`astropy.table.Table`
        the fake sources table, with corresponding mask
    min_threshold : float
        the minimum SNR threshold requested
    max_threshold : float
        the maximum SNR threshold requested

    Returns
    -------
    _completness, _norm_comp
        corresponding 2D :class:`numpy.ndarray`
    """
    # If one wanted to used a histogramdd, one would need a threshold axis
    # covering ALL possible SNR, otherwise loose flux, or cap the thresholds...
    fake_snr = np.ma.array(sources[fake_sources['find_peak'].filled(0)]['SNR'],
                           mask=fake_sources['find_peak'].mask)

    # As we are interested by the cumulative numbers, keep all inside the
    # upper pixel
    fake_snr[fake_snr > max_threshold] = max_threshold

    # print(fake_snr)
    # TODO: Consider keeping all pixels information in fake_source and source...
    #       This would imply to do only a simple wcs_threshold here...
    xx, yy, zz = wcs.wcs_world2pix(fake_sources['ra'], fake_sources['dec'],
                                   fake_snr.filled(min_threshold), 0)

    # Number of fake sources recovered
    _completness, _ = np.histogramdd(np.asarray([xx, yy, zz]).T + 0.5,
                                     bins=np.asarray(shape),
                                     range=list(zip([0]*len(shape), shape)),
                                     weights=~fake_sources['find_peak'].mask)
    # Reverse cumulative sum to get all sources at the given threshold
    _completness = np.cumsum(_completness[..., ::-1], axis=2)[..., ::-1]

    # Number of fake sources (independant of threshold)
    _norm_comp, _, _ = np.histogram2d(xx + 0.5, yy + 0.5,
                                      bins=np.asarray(shape[0:2]),
                                      range=list(zip([0]*2, shape[0:2])))
    return _completness, _norm_comp


def purity_worker(shape, wcs, sources, max_threshold=2):
    """Compute completness from the fake source catalog

    Parameters
    ----------
    shape : tuple
        the shape of the resulting image
    sources : :class:`astropy.table.Table`
        the detected sources table, with corresponding match
    max_threshold : float
        the maximum threshold requested

    Returns
    -------
    _completness, _norm_comp
        corresponding 2D :class:`numpy.ndarray`
    """

    sources_snr = sources['SNR']
    # As we are interested by the cumulative numbers, keep all inside the
    # upper pixel
    sources_snr[sources_snr > max_threshold] = max_threshold
    xx, yy, zz = wcs.wcs_world2pix(sources['ra'], sources['dec'],
                                   sources_snr, 0)

    # Number of fake sources recovered
    _purity, _ = np.histogramdd(np.asarray([xx, yy, zz]).T + 0.5,
                                bins=np.asarray(shape),
                                range=list(zip([0]*len(shape), shape)),
                                weights=~sources['fake_sources'].mask)

    # Revese cumulative sum...
    _purity = np.cumsum(_purity[..., ::-1], axis=2)[..., ::-1]

    # Number of total detected sources at a given threshold
    _norm_pur, _ = np.histogramdd(np.asarray([xx, yy, zz]).T + 0.5,
                                  bins=np.asarray(shape),
                                  range=list(zip([0]*len(shape), shape)))
    _norm_pur = np.cumsum(_norm_pur[..., ::-1], axis=2)[..., ::-1]

    return _purity, _norm_pur


def completness_purity(sources, fake_sources, wcs=None,
                       shape=None):
    """Compute completness map for a given flux"""

    # print(flux)

    # wcs_celestial = wcs.celestial
    # Lower and upper edges ... take the center of the pixel for the upper edge
    min_threshold, max_threshold = wcs.sub([3]).all_pix2world([-0.5, shape[2]-1], 0)[0]

    completness = np.zeros(shape, dtype=np.float)
    norm_comp = np.zeros(shape[0:2], dtype=np.float)

    purity = np.zeros(shape, dtype=np.float)
    norm_pur = np.zeros(shape, dtype=np.float)


    # %load_ext snakeviz
    # %snakeviz the following line.... all is spend in the find_peaks /
    # fit_2d_gaussian
    # TODO: Change the find_peaks routine, or maybe just the
    # fit_2d_gaussian to be FAST ! (Maybe look into gcntrd.pro routine
    # or photutils.centroid.centroid_1dg maybe ?)

    _completness, _norm_comp = completness_worker(shape, wcs, sources,
                                                  fake_sources,
                                                  min_threshold,
                                                  max_threshold)

    # print(_completness)
    completness += _completness
    norm_comp += _norm_comp

    _purity, _norm_pur = purity_worker(shape, wcs, sources, max_threshold)

    purity += _purity
    norm_pur += _norm_pur

    # norm can be 0, so to avoid warning on invalid values...
    with np.errstate(divide='ignore', invalid='ignore'):
        completness /= norm_comp[..., np.newaxis]
        purity /= norm_pur

    # TODO: One should probably return completness AND norm if one want to
    # combine several fluxes
    return completness, purity


def Plot_CompPur(completness, purity, threshold, nsim=None, savename=None,
                 flux=None):
    threshold_bins = completness.shape[-1]
    fig, axes = plt.subplots(nrows=2, ncols=threshold_bins, sharex=True,
                             sharey=True)
    for i in range(threshold_bins):
        axes[0, i].imshow(completness[:, :, i], vmin=0, vmax=1)
        im = axes[1, i].imshow(purity[:, :, i], vmin=0, vmax=1)
        axes[1, i].set_xlabel("thresh={:.2f}".format(threshold[i]))
        if i == (threshold_bins-1):
            # print('-----------')
            divider = make_axes_locatable(axes[1, i])
            cax = divider.append_axes('right', size='5%', pad=0.0)
            fig = plt.gcf()
            fig.colorbar(im, cax=cax, orientation='vertical')
    if nsim is not None:
        axes[0, 0].set_title("{} simulations".format(nsim))
    if flux is not None:
        axes[0, 1].set_title("{}".format(flux))
    axes[0, 0].set_ylabel("completness")
    axes[1, 0].set_ylabel("purity")
    if savename is not None:
        plt.savefig(savename)


def Evaluate(flux_ds_fs_list):
    # _flux = u.Quantity(pr.header['flux{}'.format(isimu)])
    _flux = flux_ds_fs_list[0]
    sources = flux_ds_fs_list[1]
    fake_sources = flux_ds_fs_list[2]
    fluxval = _flux.to_value(u.mJy)
    '''
    _flux.to_value(u.mJy)
    sources = Table.read(hdul['DETECTED_SOURCES{}'.format(_flux)])
    fake_sources = Table.read(hdul['FAKE_SOURCES{}'.format(_flux)])
    '''
    print('{} data loaded'.format(_flux))

    # sources = df['DETECTED_SOURCES{}'.format(flux)]
    # print(fake_sources)
    # sys.exit()
    completness, purity = completness_purity(sources, fake_sources,
                                             wcs=wcs_4D.sub([1, 2, 3]),
                                             shape=shape_4D[0:3])

    return fluxval, completness, purity


def Evaluate2(_flux, hdul):
    print(fits.HDUList(hdul).info())
    # _flux = u.Quantity(pr.header['flux{}'.format(isimu)])
    fluxval = _flux.to_value(u.mJy)
    sources = Table.read(hdul['DETECTED_SOURCES{}'.format(_flux)])
    fake_sources = Table.read(hdul['FAKE_SOURCES{}'.format(_flux)])

    print('{} data loaded'.format(_flux))

    completness, purity = completness_purity(sources, fake_sources,
                                             wcs=wcs_4D.sub([1, 2, 3]),
                                             shape=shape_4D[0:3])

    print(fluxval, completness, purity)
    return fluxval, completness, purity


def find_nearest(array, values):
    x, y = np.meshgrid(array, values)
    ev = np.abs(x - y)
    return np.argmin(ev, axis=1)


def PlotEvaluation(data, title='', flux=np.array([]), thresh=[],
                   nfluxlabels=None, nthreshlabels=None, **kwargs):
    tickfs = 20
    labelfs = 25

    if nfluxlabels is not None:
        _label_flux = np.geomspace(flux[0], flux[-1], nfluxlabels)
        _f_idx = find_nearest(flux, _label_flux)
        flblpos, _flbl = _f_idx, flux[_f_idx]
    else:
        flblpos, _flbl = np.arange(len(flux)), flux

    if nthreshlabels is not None:
        _label_thresh = np.linspace(thresh[0], thresh[-1], nthreshlabels)
        _t_idx = find_nearest(thresh, _label_thresh)
        tlblpos, _tlbl = _t_idx, thresh[_t_idx]
    else:
        tlblpos, _tlbl = np.arange(len(thresh)), thresh

    flbl = []
    for i in range(len(_flbl)):
        flbl.append('{:.1f}'.format(_flbl[i]))

    tlbl = []
    for i in range(len(_tlbl)):
        tlbl.append('{:.1f}'.format(_tlbl[i]))
        # print(i, tlbl[i])

    # print(np.array([tlblpos, tlbl]).T)
    plt.figure()
    plt.title(title, fontsize=30)
    plt.xlabel('Detection Threshold [SNR]', fontsize=labelfs)
    plt.ylabel('Flux [mJy]', fontsize=labelfs)

    plt.xticks(tlblpos, tlbl, fontsize=tickfs)
    # ax = plt.gca()
    plt.yticks(flblpos, flbl, fontsize=tickfs)
    # ax.yaxis.set_major_formatter(FormatStrFormatter('%.2f'))

    plt.imshow(data, origin='lower', **kwargs)
    cbar = plt.colorbar()
    cbar.ax.tick_params(labelsize=tickfs)


def PlotFixedThreshold(thresholds, bin, completness, allthresholds, flux,
                       nfluxlabels=None, hlines=None):

    linestyles = ['-', '--', '-.', ':']
    real_thresholds = find_nearest(allthresholds, thresholds)
    for i in range(len(real_thresholds)):
        _x = flux
        _y = completness[:, bin[0], bin[1], real_thresholds[i]]
        plt.plot(_x, _y, linestyle=linestyles[i],
                 label='{:.1f}'.format(allthresholds[real_thresholds[i]]))

    if hlines is not None:
        for i, val in enumerate(hlines):
            plt.axhline(val, color='r')
    plt.title('Fixed Threshold', fontsize=30, y=1.02)
    plt.xlabel('Source Flux [mJy]', fontsize=25)
    plt.ylabel('Completness', fontsize=25)
    plt.yticks(fontsize=20)
    plt.xticks(fontsize=20)
    plt.subplots_adjust(left=0.12)
    ax = plt.gca()
    ax.set_xscale("log", nonposx='clip')
    # legend = plt.legend(fontsize=25, title='SNR', loc='lower right')
    legend = plt.legend(fontsize=25, title='SNR', loc='upper left',
                        framealpha=1)
    plt.setp(legend.get_title(), fontsize=25)
    plt.show(block=True)
# plt.close('all')

# _data = next(Jackknife(filenames, n=None))
# # TODO: Should in principle be the same, but is not... check....
# _ = plt.hist((data.data - _data.data)[~data.mask & ~_data.mask],
# bins=1000, range=[-0.1, 0.1], log=True)


# Create the flux and threshold axes...

if __name__ == "__main__":
    DATA_DIR = "/home/peter/Dokumente/Uni/Paris/Stage/data/v_1"
    data = NikaMap.read(Path(DATA_DIR) / '..' / 'map.fits')
    bins = 19

    flux_bins = 2
    flux_range = [0.1, 10]

    threshold_bins = 5
    threshold_range = [2, 5]
    threshold_range = [3, 7.5]


    # Does not really make sense... better define edges
    fluxes = np.logspace(np.log10(flux_range[0]), np.log10(flux_range[1]),
                         flux_bins)*u.mJy
    fluxes_edges = np.logspace(np.log10(flux_range[0]), np.log10(flux_range[1]),
                               flux_bins + 1)*u.mJy

    # Does not really make sense... better define edges
    threshold = np.linspace(threshold_range[0], threshold_range[1], threshold_bins)
    threshold_edges = np.linspace(threshold_range[0], threshold_range[1],
                                  threshold_bins+1)

    shape_4D, wcs_4D = completness_purity_wcs(data.shape, data.wcs, bins=bins,
                                              flux_range=flux_range,
                                              flux_bins=flux_bins, flux_log=True,
                                              threshold_range=threshold_range,
                                              threshold_bins=threshold_bins)


    # Testing the lower edges
    wcs_threshold = wcs_4D.sub([3])
    assert np.all(np.abs(wcs_threshold.all_pix2world(np.arange(threshold_bins+1)-0.5, 0) - threshold_edges) < 1e-15)
    wcs_flux = wcs_4D.sub([4])
    assert np.all(np.abs(wcs_flux.all_pix2world(np.arange(flux_bins+1)-0.5, 0) - fluxes_edges.value) < 1e-13)


    # DEBUG :
    # flux, nsources, within, wcs, shape, nsim, jk_filenames = 10*u.mJy, 8**2,
    # (0, 1), wcs_4D.sub([1, 2, 3]), shape_4D[0:3], np.multiply(*shape_4D[0:2])
    # * 100, filenames

    # This is a single run check for a single flux

    hdul = fits.HDUList(fits.open('/home/peter/Dokumente/Uni/Paris/Stage/FirstSteps/'
                     'Completness/combined_tables_long.fits'))
    # sys.exit()
    nfluxes = hdul[0].header['NFLUXES']
    print('{} different fluxes found'.format(nfluxes))

    # Get fluxlist:

    indata = []
    for isimu in range(nfluxes):
        _FLUX = u.Quantity(hdul[0].header['flux{}'.format(isimu)])

        _SOURCES = Table.read(hdul['DETECTED_SOURCES{}'
                                   .format(_FLUX)])
        _FAKE_SOURCES = Table.read(hdul['FAKE_SOURCES{}'
                                        .format(_FLUX)])
        indata.append([_FLUX, _SOURCES, _FAKE_SOURCES])
    '''
    flux = []
    for isimu in range(nfluxes):
        flux.append(u.Quantity(hdul[0].header['flux{}'.format(isimu)]))
    '''
    # helpfunc = partial(Evaluate, **{'hdul': hdul})
    p = Pool(cpu_count())

    res = p.map(Evaluate, indata)
    res = list(zip(*res))
    FLUX = np.array(res[0])
    COMPLETNESS = np.array(res[1])
    PURITY = np.array(res[2])

    idxsort = np.argsort(FLUX)
    FLUX = FLUX[idxsort]
    COMPLETNESS = COMPLETNESS[idxsort]
    PURITY = PURITY[idxsort]

    midbin = int(bins/2)

    # sys.exit()
    # %% PlotFigure

    PlotEvaluation(COMPLETNESS[:, midbin, midbin, :], title='Completness',
                   flux=np.array(FLUX), thresh=threshold, cmap='bone',
                   nfluxlabels=10, nthreshlabels=5, aspect='auto')

    PlotEvaluation(PURITY[:, midbin, midbin, :], title='Purity',
                   flux=np.array(FLUX), thresh=threshold, cmap='bone',
                   nfluxlabels=10, nthreshlabels=5, aspect='auto')
    plt.show(block=True)


    # %% 2D plot

    PlotFixedThreshold(np.array((3, 5, 7)), (midbin, midbin), COMPLETNESS,
                       threshold, np.array(FLUX), nfluxlabels=None,
                       hlines=[.5, .8, .9])

    # %% Plot map
    # Plot_CompPur(completness, purity, threshold, nsim=None, savename=None,
    #                  flux=None):

    plotidx = np.array([24, 30, 40, 49])
    # plotthreshidx = np.array([0, 4, 8])

    plotcomp = COMPLETNESS[plotidx]
    plotpur = PURITY[plotidx]
    # plotthresh = threshold[plotthreshidx]
    plotflux = np.array(FLUX[plotidx])

    for i in range(len(plotidx)):
        _comp = plotcomp[i]
        _pur = plotpur[i]
        Plot_CompPur(_comp, _pur, threshold, flux=plotflux[i])
    plt.show(block=True)