示例#1
0
def main():
  """
  Multi-Core Markov-chain Monte Carlo (MC3) wrapper for the command-line
  (shell) call.

  Notes
  -----
  1.- To display the full list of arguments, run from the prompt:
      mccubed.py -h
  2.- The command line overwrites over the config file in case an argument
      is defined twice.
  """
  parser = mc3.mc.parse()

  # Parse command-line args (right now, just interested in the config file):
  args, unknown = parser.parse_known_args()

  # Parse configuration file to a dictionary:
  if args.cfile is not None and not os.path.isfile(args.cfile):
    print("Configuration file: '{:s}' not found.".format(args.cfile))
    sys.exit(0)
  if args.cfile:
    config = configparser.SafeConfigParser()
    config.read([args.cfile])
    defaults = dict(config.items("MCMC"))
  else:
    defaults = {}
  # Set defaults from the configuration-file values:
  parser.set_defaults(**defaults)
  # Overwrite defaults with the command-line arguments:
  args, unknown = parser.parse_known_args()

  # Call MCMC driver:
  mc3.mcmc(**vars(args))
示例#2
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leastsq    = True   # Least-squares minimization prior to the MCMC
lm         = True   # Choose Levenberg-Marquardt (True) or TRF algorithm (False)
chisqscale = False  # Scale the data uncertainties such red.chisq = 1

# MCMC Convergence:
grtest  = True
grbreak = 1.001
grnmin = 0.6

# File outputs:
log       = 'MCMC.log'         # Save the MCMC screen outputs to file
savefile  = 'MCMC_sample.npz'  # Save the MCMC parameters sample to file
plots     = True               # Generate best-fit, trace, and posterior plots

# Correlated-noise assessment:
wlike = False   # Use Carter & Winn's Wavelet-likelihood method
rms   = True    # Compute the time-averaging test and plot


# Run the MCMC:
bestp, CRlo, CRhi, stdp, posterior, Zchain = mc3.mcmc(data=data,
        func=func,  indparams=indparams,
        params=params,
        walk=walk, nsamples=nsamples,  nchains=nchains,
        burnin=burnin, thinning=thinning,
        leastsq=leastsq, lm=lm, chisqscale=chisqscale,
        hsize=hsize, kickoff=kickoff,
        grtest=grtest, grbreak=grbreak, grnmin=grnmin,
        wlike=wlike, log=log,
        plots=plots,  savefile=savefile, rms=rms)
示例#3
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# Run the MCMC:
bestp, CRlo, CRhi, stdp, posterior, Zchain = mc3.mcmc(data=data,
                                                      uncert=uncert,
                                                      func=func,
                                                      indparams=indparams,
                                                      params=params,
                                                      pmin=pmin,
                                                      pmax=pmax,
                                                      stepsize=stepsize,
                                                      prior=prior,
                                                      priorlow=priorlow,
                                                      priorup=priorup,
                                                      walk=walk,
                                                      nsamples=nsamples,
                                                      nchains=nchains,
                                                      burnin=burnin,
                                                      thinning=thinning,
                                                      leastsq=leastsq,
                                                      lm=lm,
                                                      chisqscale=chisqscale,
                                                      hsize=hsize,
                                                      kickoff=kickoff,
                                                      grtest=grtest,
                                                      wlike=wlike,
                                                      log=log,
                                                      plots=plots,
                                                      savefile=savefile,
                                                      rms=rms,
                                                      full_output=full_output)
示例#4
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# Optimization:
leastsq    = True   # Least-squares minimization prior to the MCMC
lm         = True   # Choose Levenberg-Marquardt (True) or TRF algorithm (False)
chisqscale = False  # Scale the data uncertainties such red.chisq = 1

# MCMC Convergence:
grtest = True

# File outputs:
log       = 'MCMC.log'         # Save the MCMC screen outputs to file
savefile  = 'MCMC_sample.npz'  # Save the MCMC parameters sample to file
plots     = True               # Generate best-fit, trace, and posterior plots
full_output = False            # Return the full posterior sample

# Correlated-noise assessment:
wlike = False   # Use Carter & Winn's Wavelet-likelihood method
rms   = True    # Compute the time-averaging test and plot


# Run the MCMC:
bestp, CRlo, CRhi, stdp, posterior, Zchain = mc3.mcmc(data=data,
        uncert=uncert, func=func,  indparams=indparams,
        params=params,  pmin=pmin, pmax=pmax, stepsize=stepsize,
        prior=prior,    priorlow=priorlow,    priorup=priorup,
        walk=walk, nsamples=nsamples,  nchains=nchains,
        burnin=burnin, thinning=thinning,
        leastsq=leastsq, lm=lm, chisqscale=chisqscale,
        hsize=hsize, kickoff=kickoff,
        grtest=grtest, wlike=wlike, log=log,
        plots=plots,  savefile=savefile, rms=rms, full_output=full_output)
示例#5
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def main():
    '''
    One function to rule them all.
    '''

    # Parse the command line arguments
    eventname = sys.argv[1]
    cfile     = sys.argv[2]

    outdir = time.strftime('%Y-%m-%d-%H:%M:%S') + '_' + eventname + '/'

    if not os.path.exists(outdir):
        os.makedirs(outdir)

    days2sec = 86400

    # Read the config file into a dictionary
    print("Reading the config file.")
    config = ConfigParser.SafeConfigParser()
    config.read([cfile])
    configdict = dict(config.items("MCMC"))

    # Pull some variables out
    plots = configdict['plots'] == 'True'
    bins  = configdict['bins']  == 'True'

    # Get initial parameters and stepsize arrays from the config
    stepsize = [float(s) for s in configdict['stepsize'].split()]
    params   = [float(s) for s in configdict['params'].split()]

    # Load the POET event object (up through p5)
    print("Loading the POET event object.")
    event_chk = me.loadevent(eventname + "_p5c")
    event_pht = me.loadevent(eventname + "_pht")
    event_ctr = me.loadevent(eventname + "_ctr", load=['data', 'uncd', 'mask'])

    data  = event_ctr.data
    uncd  = event_ctr.uncd
    phase = event_chk.phase[0]


    # Identify the bright pixels to use
    print("Identifying brightest pixels.")
    nx = data.shape[1]
    ny = data.shape[2]
    
    phot    = event_pht.fp.aplev[np.where(event_chk.good)]
    photerr = event_pht.fp.aperr[np.where(event_chk.good)]

    xavg = np.int(np.floor(np.average(event_pht.fp.x)))
    yavg = np.int(np.floor(np.average(event_pht.fp.y)))

    boxsize = 10
    
    photavg     = np.average(data[:,yavg-boxsize:yavg+boxsize,xavg-boxsize:xavg+boxsize], axis=0)[:,:,0]
    photavgflat = photavg.flatten()

    # Some adjustable parameters that should be at the top of the file
    npix = 9
    necl = 6 #number of eclipse parameters

    flatind = photavgflat.argsort()[-npix:]

    rows = flatind / photavg.shape[1]
    cols = flatind % photavg.shape[0]

    pixels = []

    for i in range(npix):
        pixels.append([rows[i]+yavg-boxsize,cols[i]+xavg-boxsize])
    
    # Default to 3x3 box of pixels
    # avgcentx = np.floor(np.average(event_pht.fp.x) + 0.5)
    # avgcenty = np.floor(np.average(event_pht.fp.y) + 0.5)
    # avgcent  = [avgcenty, avgcentx]
    # pixels = []
	   
    # for i in range(3):
    #     for j in range(3):
    #         pixels.append([avgcenty - 1 + i, avgcentx - 1 + j])

    print("Doing preparatory calculations.")
    phat, dP = zf.zen_init(data, pixels)

    phatgood = np.zeros(len(event_chk.good[0]))
    
    # Mask out the bad images in phat
    for i in range(npix):
        tempphat = phat[:,i].copy()
        tempphatgood = tempphat[np.where(event_chk.good[0])]
        if i == 0:
            phatgood = tempphatgood.copy()
        else:
            phatgood = np.vstack((phatgood, tempphatgood))
        del(tempphat)
        del(tempphatgood)
        
    # Invert the new array because I lack foresight
    phatgood  = phatgood.T
    phasegood = event_chk.phase[np.where(event_chk.good)]

    # Do binning if desired
    if bins:
        # Width of bins to try
        bintry = np.array([ 4.,
                            8.,
                           12.,
                           16.,
                           20.,
                           24.,
                           28.,
                           32.,
                           36.,
                           40.,
                           44.,
                           48.,
                           52.,
                           56.,
                           60.,
                           64.])

        #bintry = np.arange(4,129,dtype=float)

        # Convert bin widths to phase from seconds
        bintry /= (event_chk.period * days2sec)

        # Initialize best chi-squared to an insanely large number
        # for comparison later
        chibest = 1e300

        chisqarray = np.zeros(len(bintry))

        # Optimize bin size
        print("Optimizing bin size.")
        for i in range(len(bintry)):
            print("Least-squares optimization for " + str(bintry[i] * event_chk.period * days2sec)
                  + " second bin width.")

            # Bin the phase and phat
            for j in range(npix):
                if j == 0:
                    binphase,     binphat = zf.bindata(phasegood, phatgood[:,j], bintry[i])
                else:
                    binphase, tempbinphat = zf.bindata(phasegood, phatgood[:,j], bintry[i])
                    binphat = np.column_stack((binphat, tempbinphat))
            # Bin the photometry and error
            # Phase is binned again but is identical to
            # the previously binned phase.
            binphase, binphot, binphoterr = zf.bindata(phasegood, phot, bintry[i], yerr=photerr)

            # Normalize
            photnorm    = phot    / phot.mean()
            photerrnorm = photerr / phot.mean()

            binphotnorm    = binphot    / binphot.mean()
            binphoterrnorm = binphoterr / binphot.mean()

            # Make xphat for use with zen_optimize
            xphatshape = (binphat.shape[0], binphat.shape[1]+1)
            xphat      = np.zeros(xphatshape)

            xphat[:,:-1] = binphat
            xphat[:, -1] = binphase

            # Minimize chi-squared for this bin size
            ret = sco.curve_fit(zf.zen_optimize, xphat, binphotnorm, p0=params, sigma=binphoterrnorm, maxfev = 100000)

            # Calculate the best-fitting model
            model = zf.zen(ret[0], binphase, binphat, npix)

            # Calculate reduced chi-squared
            chisq = np.sum((binphotnorm - model)**2/binphoterrnorm**2)
            redchisq = chisq/len(binphotnorm)
            print("Reduced chi-squared: " + str(redchisq))

            chisqarray[i] = redchisq

            # Save results if this fit is better
            if redchisq < chibest:
                chibest = redchisq
                binbest = bintry[i]

        # Rebin back to the best binning
        binphase, binphot, binphoterr = zf.bindata(phasegood, phot, binbest, yerr=photerr)
        binphotnorm    = binphot    / binphot.mean()
        binphoterrnorm = binphoterr / binphot.mean()

        for j in range(npix):
            if j == 0:
                binphase,     binphat = zf.bindata(phasegood, phatgood[:,j], binbest)
            else:
                binphase, tempbinphat = zf.bindata(phasegood, phatgood[:,j], binbest)
                binphat = np.column_stack((binphat, tempbinphat))

        if plots:
            plt.clf()
            plt.plot(bintry * event_chk.period * days2sec, chisqarray)
            plt.xlabel("Bin width (seconds)")
            plt.ylabel("Reduced Chi-squared")
            plt.title("Reduced Chi-squared of PLD model fit for different bin sizes")
            plt.savefig(outdir+"redchisq.png")
            
    # If not binning, use regular photometry
    else:
        photnorm       = phot    / phot.mean()
        photerrnorm    = photerr / phot.mean()
        binphotnorm    = photnorm.copy()
        binphoterrnorm = photerrnorm.copy()
        binphase       = phasegood.copy()
        binphat        = phatgood.copy()

    # And we're off!    
    print("Beginning MCMC.")
    savefile = configdict['savefile']
    log      = configdict['logfile']
    
    bp, CRlo, CRhi, stdp, posterior, Zchain = mc3.mcmc(binphotnorm,
                                                       binphoterrnorm,
                                                       func=zf.zen,
                                                       indparams=[binphase,
                                                                  binphat,
                                                                  npix],
                                                       cfile=cfile,
                                                       savefile=outdir+savefile,
                                                       log=outdir+log)


    # Get initial parameters and stepsize arrays from the config
    stepsize = [float(s) for s in configdict['stepsize'].split()]
    params   = [float(s) for s in configdict['params'].split()]

    # Calculate the best-fitting model
    bestfit = zf.zen(bp, binphase, binphat, npix)

    # Get parameter names array to match params with names
    parnames = configdict["parname"].split()

    # Make array of parameters, with eclipse depth replaced with 0
    noeclParams = np.zeros(len(bp))

    for i in range(len(noeclParams)):
        if parnames[i] == 'Depth':
            noeclParams[i] == 0
            depth = bp[i]
        else:
            noeclParams[i] = bp[i]

    noeclfit = zf.zen(noeclParams, binphase, binphat, npix)

    bestecl = depth*(zf.eclipse(binphase, bp[npix:npix+necl])-1) + 1

    # Make plots
    print("Making plots.")
    binnumplot = 200
    binplotwidth = (phasegood[-1]-phasegood[0])/binnumplot
    binphaseplot, binphotplot, binphoterrplot = zf.bindata(phasegood, phot, binplotwidth, yerr=photerr)
    binphaseplot, binnoeclfit = zf.bindata(binphase, noeclfit, binplotwidth)
    binphaseplot, binbestecl  = zf.bindata(binphase,  bestecl,  binplotwidth)
    binphotnormplot = binphotplot / binphotplot.mean()
    binphoterrnormplot = binphoterrplot / binphotplot.mean()
    zp.normlc(binphaseplot[:-1], binphotnormplot[:-1], binphoterrnormplot[:-1],
              binnoeclfit[:-1], binbestecl[:-1], 1,
              title='Normalized Binned WASP-29b Data With Eclipse Models', savedir=outdir)
示例#6
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savefile = 'MCMC_sample.npz'  # Save the MCMC parameters sample to file
plots = True  # Generate best-fit, trace, and posterior plots

# Correlated-noise assessment:
wlike = False  # Use Carter & Winn's Wavelet-likelihood method
rms = True  # Compute the time-averaging test and plot

# Run the MCMC:
bestp, CRlo, CRhi, stdp, posterior, Zchain = mc3.mcmc(data=data,
                                                      func=func,
                                                      indparams=indparams,
                                                      params=params,
                                                      walk=walk,
                                                      nsamples=nsamples,
                                                      nchains=nchains,
                                                      burnin=burnin,
                                                      thinning=thinning,
                                                      leastsq=leastsq,
                                                      lm=lm,
                                                      chisqscale=chisqscale,
                                                      hsize=hsize,
                                                      kickoff=kickoff,
                                                      grtest=grtest,
                                                      grbreak=grbreak,
                                                      grnmin=grnmin,
                                                      wlike=wlike,
                                                      log=log,
                                                      plots=plots,
                                                      savefile=savefile,
                                                      rms=rms)
示例#7
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def main(rundir, cfile=None, cfilename=None):
    '''
    One function to rule them all.
    '''
    # Set up logging of all print statements in this main file
    logfile = 'zen.log'
    templogfile = rundir + '/' + logfile + '.tmp'
    log = logger.Logger(templogfile)
    print("Start: %s" % time.ctime(), file=log)
    
    configobjs = []

    # eventlist is a list of events for each model set
    # eventlistlist is a list of eventlists. For example,
    # if you have 3 model sets and 2 data sets, eventlist
    # will be the events with optimized photometry for
    # each data set and model (so length 3) and eventlistlist contains
    # all the necessary events for joint fitting this scenario
    # (currently unsupported, but future update may change that)
    eventlistlist = []
    # Read the config file into a dictionary
    print("Reading the config file(s).")

    # If no obj is given, read them all
    if type(cfile) == type(None):
        confignames = []
        for fname in os.listdir(rundir):
            if (fname.endswith("-zen.cfg")):
                confignames.append(fname)
        confignames.sort()
        for fname in confignames:
            config = configparser.ConfigParser()
            config.read(rundir + '/' + fname)
            configobjs.append(config)
    # If a filename is provided
    elif isinstance(cfile, str):
        confignames = [cfile]
        config = configparser.ConfigParser()
        config.read(rundir + '/' + cfile)
        configobjs.append(config)
    # Otherwise, use just the object received    
    else:
        configobjs.append(cfile)
        confignames = [cfilename]

    nevents = len(configobjs)

    for m in range(nevents):
        eventlist = []
        fit = []
        nmodelsets = len(configobjs[m]['EVENT']['models'].split('\n'))
        if nmodelsets > 1 and nevents > 1:
            print("WARNING: multiple model sets not supported with" +
                  "joint fits. Please choose a single model for each" +
                  "event.")
            sys.exit()
            
        for n in range(nmodelsets):            
            # Initialize fit object (we don't yet know which event object
            # to attach it to)
            fit.append(readeventhdf.fits())

            # Fill in fit options
            zf.fitopt(fit[n], configobjs[m], rundir, n)

        if nevents > 1 and len(fit[n].bintry) > 1:
            print("WARNING: bin size optimization not supported with" +
                  " joint fits due to issues with shared parameters between" +
                  " data sets. Please set bintry to a single value for" +
                  " each data set (can be different for each).")
            sys.exit()

        for n in range(nmodelsets):
            # Get initial parameters and stepsize arrays from the config
            fit[n].modelfile = rundir + '/' + fit[n].modelfile

            nmodels = len(fit[n].modelstrs)

            parlist = pe.read(fit[n].modelfile,
                              fit[n].modelstrs,
                              None,
                              npldpars=fit[n].npix)
            
            fit[n].params   = []
            fit[n].pmin     = []
            fit[n].pmax     = []
            fit[n].npars    = []
            fit[n].stepsize = []
            for i in np.arange(nmodels):
                pars = parlist[i][2]
                fit[n].params    = np.concatenate((fit[n].params,     pars[0]),  0)
                fit[n].pmin      = np.concatenate((fit[n].pmin,       pars[1]),  0)
                fit[n].pmax      = np.concatenate((fit[n].pmax,       pars[2]),  0)
                fit[n].stepsize  = np.concatenate((fit[n].stepsize,   pars[3]),  0)
                fit[n].npars     = np.concatenate((fit[n].npars, [len(pars[0])]),0)

            # Currently there's a bug in numpy that converts concatenated
            # lists of ints to floats if one list is empty. This is a
            # workaround
            fit[n].npars = [int(p) for p in fit[n].npars]

            fit[n].modelfuncs, fit[n].modeltypes, fit[n].parnames, fit[n].i, fit[n].saveext = \
                        mc.setupmodel(fit[n].modelstrs, fit[n].i, fit[n].npix)

            # Parse priors
            nump = 0
            fit[n].prior    = np.zeros(len(fit[n].parnames))
            fit[n].priorlow = np.zeros(len(fit[n].parnames))
            fit[n].priorup  = np.zeros(len(fit[n].parnames))
            if hasattr(fit[n], "priorvars"):
                if len(fit[n].priorvals) % 3 != 0:
                    print("WARNING: priorvals not specified correctly.")
                for pvar in fit[n].priorvars:
                    if hasattr(fit[n].i, pvar):
                        fit[n].prior   [getattr(fit[n].i, pvar)] = fit[n].priorvals[3*nump]
                        fit[n].priorlow[getattr(fit[n].i, pvar)] = fit[n].priorvals[3*nump+1]
                        fit[n].priorup [getattr(fit[n].i, pvar)] = fit[n].priorvals[3*nump+2]
                    else:
                        print("Prior variable " + pvar + " not recognized.")
                    nump += 1

            fit[n].numm = len(fit[n].modelfuncs)

            nbin  = len(fit[n].bintry)
            ncent = len(fit[n].centdir)
            nphot = len(fit[n].photdir)

            # Set up multiprocessing
            jobs = []
            # Multiprocessing requires 1D arrays (if we use shared memory)
            chisqarray = mp.Array('d', np.zeros(nbin  *
                                                nphot *
                                                ncent))
            chislope   = mp.Array('d', np.zeros(nbin  *
                                                nphot *
                                                ncent))

            # Load the data (images are the same regardless of cent and
            # phot, so we can load prior to the loop)
            event_data = me.loadevent(rundir + '/' + fit[n].eventname + "_ini",
                                      load=['data'])
            data = event_data.data

            # Giant loop over all specified apertures and centering methods
            for l in range(nphot):
                for k in range(ncent):            
                    # Load the POET event object (up through p5)
                    print("Loading the POET event object.", file=log)
                    print("Ap:   " + fit[n].photdir[l], file=log)
                    print("Cent: " + fit[n].centdir[k], file=log)
                    centloc = '/'.join([rundir, fit[n].centdir[k], '']) 
                    photloc = '/'.join([rundir, fit[n].centdir[k],
                                        fit[n].photdir[l], ''])
                    if os.path.isdir(photloc):
                        event = me.loadevent(photloc + fit[n].eventname + "_p5c")
                    else:
                        print("Unable to find "
                              + fit[n].centdir[k] + '/'
                              + fit[n].photdir[l] +
                              ". Skipping.", file=log)
                        fill = np.ones(nbin) * np.inf
                        chisqarray[     nbin*l+nbin*nphot*k:
                                   nbin+nbin*l+nbin*nphot*k] = fill
                        chislope  [     nbin*l+nbin*nphot*k:
                                   nbin+nbin*l+nbin*nphot*k] = fill
                        continue

                    phase = event.phase

                    # Create masks
                    preclipmask  = phase > fit[n].preclip
                    postclipmask = phase < fit[n].postclip
                    fit[n].clipmask = np.logical_and(preclipmask, postclipmask)

                    for i in range(fit[n].ninterclip):
                        interclipmask = np.logical_or(phase < fit[n].interclip[2*i  ],
                                                      phase > fit[n].interclip[2*i+1])
                        fit[n].clipmask = np.logical_and(fit[n].clipmask, interclipmask)

                    fit[n].mask = np.logical_and(   fit[n].clipmask, event.good)


                    npos = data.shape[0]
                    if npos > 1:
                        mflux = np.mean(event.fp.aplev[np.where(event.good)])
                        posmflux = np.zeros((event.good.shape[0],1))
                        for i in range(event.good.shape[0]):
                            posgood = np.where(event.good[i])
                            posmflux[i] = np.mean(event.fp.aplev[i, posgood])
                        event.fp.aplev = event.fp.aplev / posmflux * mflux
                    
                    phasegood = event.phase[fit[n].mask]

                    phot    = event.fp.aplev[fit[n].mask]
                    photerr = event.fp.aperr[fit[n].mask]

                    normfactor = np.average(phot)

                    phot    /= normfactor
                    photerr /= normfactor

                    # Make sure phase is ascending
                    ind = np.argsort(phasegood)
                    phasegood = phasegood[ind]
                    phot      = phot[ind]
                    photerr   = photerr[ind]

                    # Identify the bright pixels to use
                    print("Identifying brightest pixels.", file=log)
                    boxsize = 10

                    xavg, yavg, rows, cols, pixels = zf.pldpixcoords(event,
                                                                     data,
                                                                     fit[n].npix,
                                                                     boxsize,
                                                                     fit[n].mask)

                    print("Doing preparatory calculations.", file=log)
                    phat, dP = zf.zen_init(data, pixels)

                    phatgood = np.zeros(len(fit[n].mask))

                    # Mask out the bad images in phat
                    for i in range(fit[n].npix):
                        tempphat = phat[:,i].copy()
                        tempphatgood = tempphat[fit[n].mask[0]]
                        if i == 0:
                            phatgood = tempphatgood.copy()
                        else:
                            phatgood = np.vstack((phatgood, tempphatgood))

                    # Invert the new array because I lack foresight
                    phatgood  = phatgood.T

                    # Check if maximum binning will work
                    nfreep = np.sum(np.array(fit[n].stepsize) > 0)
                    if len(phot) // np.max(fit[n].bintry) <= nfreep:
                        warnstr = ("Warning! Maximum bin size too large! " +
                                   "Reduce below {} and rerun.")
                        print(warnstr.format(len(phot)//(nfreep+1)),
                              file=log)
                        return

                    # If doing a joint fit, we need to avoid bin size
                    # optimization, because shared parameters across
                    # data sets will cause unintended behavior
                    # For a joint fit to get to this point, it should have
                    # nbin=1, nphot=1, ncent=1. In which case, we can
                    # just set each 1-element array to a single
                    # value and the code will behave correctly
                    if nevents > 1:
                        chisqarray[     nbin*l+nbin*nphot*k:
                                   nbin+nbin*l+nbin*nphot*k] = np.ones(nbin)
                        chislope  [     nbin*l+nbin*nphot*k:
                                   nbin+nbin*l+nbin*nphot*k] = np.ones(nbin) * fit[n].slopethresh
                        continue

                    # Optimize bin size                
                    # Initialize processes
                    p = mp.Process(target=zf.do_bin,
                                   args=(fit[n].bintry, phasegood, phatgood,
                                         phot, photerr, fit[n].modelfuncs,
                                         fit[n].modeltypes, fit[n].params,
                                         fit[n].npars, fit[n].npix,
                                         fit[n].stepsize, fit[n].pmin,
                                         fit[n].pmax,
                                         fit[n].parnames,
                                         chisqarray, chislope, l, k, nphot))

                    # Start process
                    jobs.append(p)
                    p.start()

                    # This intentionally-infinite loop continuously
                    # calculates the number of running processes, then
                    # exits if the number of processes is less than
                    # the number requested. This allows additional
                    # processes to spawn as other finish, which is
                    # more efficient than waiting for them all to
                    # finish since some processes can take much longer
                    # than others
                    while True:
                        procs = 0
                        for proc in jobs:
                            if proc.is_alive():
                                procs += 1

                        if procs < fit[n].nprocbin:
                            break

                        # Save the CPU some work.
                        time.sleep(0.1)

                    # Reduce memory usage (otherwise, extra memory
                    # is used while the next object is being loaded)
                    del(phase)
                    del(event)
                    gc.collect()                

            # Make sure all processes finish
            for proc in jobs:
                proc.join()

            fit[n].chisqarray = np.asarray(chisqarray).reshape((ncent,
                                                                nphot,
                                                                nbin))
            fit[n].chislope   = np.asarray(chislope  ).reshape((ncent,
                                                                nphot,
                                                                nbin))

            # Initialize bsig to something ridiculous
            fit[n].bsig = np.inf
            # Determine best binning
            # We also demand that the slope be less than a
            # value, because Deming does and if the slope is
            # too far off from -1/2, binning is not improving the
            # fit in a sensible way
            if all(i >= fit[n].slopethresh for i in fit[n].chislope.flatten()):
                print("Slope threshold too low. Increase and rerun.", file=log)
                print("Setting threshold to 0 so run can complete.", file=log)
                fit[n].slopethresh = 0

            for i in range(ncent):
                for j in range(nphot):
                    for k in range(nbin):
                        if (fit[n].chisqarray[i,j,k] <  fit[n].bsig and
                            fit[n].chislope[i,j,k]   <= fit[n].slopethresh):
                            fit[n].bsig   = fit[n].chisqarray[i,j,k]
                            fit[n].bsigsl = fit[n].chislope  [i,j,k]
                            fit[n].icent = i
                            fit[n].iphot = j
                            fit[n].ibin  = k

            if nevents == 1: # Output is nonsense for joint fits
                print("Best aperture:  " +     fit[n].photdir[fit[n].iphot],
                      file=log)
                print("Best centering: " +     fit[n].centdir[fit[n].icent],
                      file=log)
                print("Best binning:   " + str(fit[n].bintry[ fit[n].ibin]),
                      file=log)
                print("Slope of SDNR vs Bin Size: " + str(fit[n].bsigsl),
                      file=log)

            # Create an output directory if not done yet
            fit[n].outdir = '/'.join([rundir,
                                      fit[n].centdir[fit[n].icent],
                                      fit[n].photdir[fit[n].iphot],
                                      fit[n].outdir, ''])
            if not os.path.isdir(fit[n].outdir):           
                os.makedirs(fit[n].outdir)

            # Write configs to output
            for fname in confignames:
                with open(fit[n].outdir + fname, 'w') as newfile:
                    configobjs[0].write(newfile)


            # Make plot of log(bsig) and slope vs phot, cent, bin
            zp.bsigvis( fit[n], savedir=fit[n].outdir)
            zp.chislope(fit[n], savedir=fit[n].outdir)

            # Reload the event object
            centloc = '/'.join([rundir, fit[n].centdir[fit[n].icent], ''])
            photloc = '/'.join([rundir, fit[n].centdir[fit[n].icent],
                                        fit[n].photdir[fit[n].iphot], ''])

            print("Reloading best POET object.", file=log)
            event = me.loadevent(photloc + fit[n].eventname + "_p5c")
            # Adding the fit object to its event
            event.fit = []
            event.fit.append(fit[n])

            phase = event.phase

            preclipmask  = phase > fit[n].preclip
            postclipmask = phase < fit[n].postclip
            fit[n].clipmask = np.logical_and(preclipmask, postclipmask)
            for i in range(fit[n].ninterclip):
                interclipmask = np.logical_or(phase < fit[n].interclip[2*i  ],
                                              phase > fit[n].interclip[2*i+1])
                fit[n].clipmask = np.logical_and(fit[n].clipmask, interclipmask)        
            fit[n].mask = np.logical_and(   fit[n].clipmask, event.good)

            npos = data.shape[0]

            if npos > 1:
                mflux = np.mean(event.fp.aplev[np.where(event.good)])
                posmflux = np.zeros((event.good.shape[0],1))
                for i in range(event.good.shape[0]):
                    posgood = np.where(event.good[i])
                    posmflux[i] = np.mean(event.fp.aplev[i, posgood])
                event.fp.aplev = event.fp.aplev / posmflux * mflux

            phot    = event.fp.aplev[fit[n].mask]
            photerr = event.fp.aperr[fit[n].mask]

            # Make sure phase is ascending
            ind = np.argsort(phasegood)
            phasegood = phasegood[ind]
            phot      = phot[ind]
            photerr   = photerr[ind]

            # Identify the bright pixels to use
            print("Identifying brightest pixels.", file=log)
            xavg, yavg, rows, cols, pixels = zf.pldpixcoords(event, data,
                                                             fit[n].npix,
                                                             boxsize,
                                                             fit[n].mask)

            zp.pixels(event.meanim[:,:,0], pixels,
                      np.ceil(np.sqrt(fit[n].npix)),
                      xavg, yavg, fit[n].eventname, savedir=fit[n].outdir)

            print("Redoing preparatory calculations.", file=log)
            phat, dP = zf.zen_init(data, pixels)

            phatgood = np.zeros(len(fit[n].mask))

            # Mask out the bad images in phat
            for i in range(fit[n].npix):
                tempphat = phat[:,i].copy()
                tempphatgood = tempphat[fit[n].mask[0]]
                if i == 0:
                    phatgood = tempphatgood.copy()
                else:
                    phatgood = np.vstack((phatgood, tempphatgood))

            # Invert the new array because I lack foresight
            phatgood  = phatgood.T
            phasegood = event.phase[fit[n].mask]

            print("Rebinning to the best binning.", file=log)
            fit[n].binbest = fit[n].bintry[fit[n].ibin]

            binphase, binphot, binphoterr = zf.bindata(phasegood, phot,
                                                       fit[n].binbest,
                                                       yerr=photerr)

            binphotnorm    = binphot    / phot.mean()
            binphoterrnorm = binphoterr / phot.mean()

            for j in range(fit[n].npix):
                if j == 0:
                    _,     binphat = zf.bindata(phasegood,
                                                phatgood[:,j],
                                                fit[n].binbest)
                else:
                    _, tempbinphat = zf.bindata(phasegood,
                                                phatgood[:,j],
                                                fit[n].binbest)
                    binphat = np.column_stack((binphat, tempbinphat))

            fit[n].binphase   = binphase
            fit[n].binphot    = binphot
            fit[n].binphoterr = binphoterr
            fit[n].binphat    = binphat

            fit[n].binphoterrnorm = binphoterrnorm
            fit[n].binphotnorm    = binphotnorm

            fit[n].phase   = phasegood
            fit[n].phot    = phot
            fit[n].photerr = photerr
            fit[n].phat    = phatgood

            eventlist.append(event)
        eventlistlist.append(eventlist)

    # Set up for joint fits and run MCMC
    for n in range(nmodelsets):
        fits = [eventlistlist[i][n].fit[0] for i in range(nevents)]
        mc3y, mc3yerr = [], []
        params, pmin, pmax, stepsize, parnames = [], [], [], [], []
        prior, priorlow, priorup = [], [], []
        for i in range(nevents):
            escale = 1.
            if fits[0].chisqscale:
                print("Rescaling uncertainties for " + fits[i].eventname,
                      file=log)
                ss = fits[i].stepsize.copy()
                # Hacky fix for joint fit issues
                # Ideally we would interpret negative step sizes as
                # whether they set params equal within an event (and
                # use those setting) or whether they set params equal
                # between events and do the following. 
                ss[np.where(ss < 0)] = 1e-5
                indparams = [fits[i].binphase, fits[i].binphat,
                             fits[i].modelfuncs, fits[i].modeltypes,
                             fits[i].npars]
                chisq, _, _, _ = mc3.fit.modelfit(fits[i].params,
                                                  zf.zen, fits[i].binphotnorm,
                                                  fits[i].binphoterrnorm,
                                                  indparams=indparams,
                                                  stepsize=ss,
                                                  pmin=fits[i].pmin,
                                                  pmax=fits[i].pmax,
                                                  prior=fits[i].prior,
                                                  priorlow=fits[i].priorlow,
                                                  priorup=fits[i].priorup)
                nfreep = np.sum(fits[i].stepsize > 0)
                escale = np.sqrt(chisq / (fits[i].binphotnorm.size - nfreep))
                fits[i].binphoterrnorm *= escale
                fits[i].binphoterr     *= escale
            mc3y     = np.concatenate((mc3y,     fits[i].binphotnorm))
            mc3yerr  = np.concatenate((mc3yerr,  fits[i].binphoterrnorm))
            params   = np.concatenate((params,   fits[i].params))
            pmin     = np.concatenate((pmin,     fits[i].pmin))
            pmax     = np.concatenate((pmax,     fits[i].pmax))
            stepsize = np.concatenate((stepsize, fits[i].stepsize))
            parnames = np.concatenate((parnames, fits[i].parnames))
            prior    = np.concatenate((prior,    fits[i].prior))
            priorlow = np.concatenate((priorlow, fits[i].priorlow))
            priorup  = np.concatenate((priorup,  fits[i].priorup))

        # And we're off!    
        print("Beginning MCMC.", file=log)


        mcout = mc3.mcmc(data=mc3y, uncert=mc3yerr, func=zf.mc3zen,
                         indparams=[fits], parname=parnames,
                         params=params, pmin=pmin, pmax=pmax,
                         stepsize=stepsize, prior=prior,
                         priorlow=priorlow, priorup=priorup,
                         walk=fits[0].walk, nsamples=fits[0].nsamples,
                         nchains=fits[0].nchains, nproc=fits[0].nchains,
                         burnin=fits[0].burnin, leastsq=fits[0].leastsq,
                         chisqscale=False,
                         grtest=fits[0].grtest, grbreak=fits[0].grbreak,
                         plots=fits[0].plots,
                         savefile=fits[0].outdir+fits[0].savefile,
                         log=fits[0].outdir+fits[0].mcmclog,
                         chireturn=True)

        bp, CRlo, CRhi, stdp, posterior, Zchain, chiout = mcout

        bpchisq, redchisq, chifactor, bic = chiout

        for fit in fits:
            fit.bic       = bic
            fit.chifactor = chifactor
            fit.bpchisq   = bpchisq
            fit.redchisq  = bpchisq
            fit.bp        = bp
            fit.crlo      = CRlo
            fit.crhi      = CRhi
            fit.stdp      = stdp

        # Parse results between fit objects
        counter = 0
        for m in range(nevents):
            event = eventlistlist[m][n]
            fit   = eventlistlist[m][n].fit[0]
            fit.bp   = bp  [counter:counter+np.sum(fit.npars)]
            fit.stdp = stdp[counter:counter+np.sum(fit.npars)]
            counter += np.sum(fit.npars)
        
        # Post-fit analysis
        for m in range(nevents):
            event = eventlistlist[m][n]
            fit   = eventlistlist[m][n].fit[0]

            fit.binbestfit = zf.zen(fit.bp, fit.binphase, fit.binphat,
                                    fit.modelfuncs, fit.modeltypes, fit.npars)

            # Update errors
            fit.binphoterr     *= chifactor
            fit.binphoterrnorm *= chifactor

            # Make a list of best parameters for each model
            bplist = []
            parind = 0

            for i in range(len(fit.modelstrs)):
                bplist.append(fit.bp[parind:parind+fit.npars[i]])
                parind += fit.npars[i]

            # Calculate model fit without the eclispe
            noeclfit = zf.noeclipse(fit.bp, fit.binphase, fit.binphat,
                                    fit.modelfuncs, fit.modeltypes, fit.npars,
                                    fit.parnames)

            # In case of multiple ecl/tr models, we subtract 1 from each
            # and then add it back in at the end
            fit.bestecl = np.zeros(len(fit.binphase))
            for i in range(len(fit.modelfuncs)):
                if fit.modeltypes[i] == 'ecl/tr':
                    fit.bestecl += (fit.modelfuncs[i](bplist[i], fit.binphase) - 1)

            fit.bestecl += 1

            # Make plots
            print("Making plots.", file=log)
            fit.binnumplot = int(len(fit.binphot)/fit.nbinplot)

            if fit.binnumplot == 0:
                fit.binnumplot = 1

            pbinphase, pbinphot, pbinphoterr = zf.bindata(fit.binphase,
                                                          fit.binphot,
                                                          fit.binnumplot,
                                                          yerr=fit.binphoterr)
            pbinphase, pbinnoeclfit          = zf.bindata(fit.binphase,
                                                          noeclfit,
                                                          fit.binnumplot)
            pbinphase, pbinbestecl           = zf.bindata(fit.binphase,
                                                          fit.bestecl,
                                                          fit.binnumplot)
            pbinphase, pbinbestfit           = zf.bindata(fit.binphase,
                                                          fit.binbestfit,
                                                          fit.binnumplot)


            pbinphotnorm    = pbinphot    / pbinphot.mean()
            pbinphoterrnorm = pbinphoterr / pbinphot.mean()

            zp.normlc(pbinphase, pbinphotnorm, pbinphoterrnorm,
                      pbinnoeclfit, pbinbestecl, fit.binphase,
                      fit.bestecl, 1, title=fit.titles,
                      eventname=fit.eventname, savedir=fit.outdir)

            zp.models(fit, savedir=fit.outdir)

        # Skip post-fit analysis if not desired (saves considerable time)
        if not fit.postanal:
            continue
        
        for m in range(nevents):
            event = eventlistlist[m][n]
            fit   = eventlistlist[m][n].fit[0]
            # Calculate eclipse times in BJD_UTC and BJD_TDB
            # Code adapted from POET p7
            print('Calculating eclipse times in Julian days', file=log)
            offset = event.bjdtdb.flat[0] - event.bjdutc.flat[0]
            if   event.timestd == 'utc':
                fit.ephtimeutc = event.ephtime
                fit.ephtimetdb = event.ephtime + offset
            elif event.timestd == 'tdb':
                fit.ephtimetdb = event.ephtime
                fit.ephtimeutc = event.ephtime - offset
            else:
                print('Assuming that ephemeris is reported in BJD_UTC. Verify!',
                      file=log)
                fit.ephtimeutc = event.ephtime
                fit.ephtimetdb = event.ephtime + offset

            print('BJD_TDB - BJD_UTC = ' + str(offset * 86400.) + ' seconds.',
                  file=log)

            fit.bestmidpt  = fit.bp[  fit.parnames.index('Eclipse Phase')]
            fit.ecltimeerr = fit.stdp[fit.parnames.index('Eclipse Phase')]*event.period

            startutc = event.bjdutc.flat[0]
            starttdb = event.bjdtdb.flat[0]

            fit.ecltimeutc = (np.floor((startutc-fit.ephtimeutc)/event.period) +
                              fit.bestmidpt) * event.period + fit.ephtimeutc
            fit.ecltimetdb = (np.floor((starttdb-fit.ephtimetdb)/event.period) +
                              fit.bestmidpt) * event.period + fit.ephtimetdb

            print('Eclipse time = ' + str(fit.ecltimeutc)
                  + '+/-' + str(fit.ecltimeerr) + ' BJD_UTC', file=log)
            print('Eclipse time = ' + str(fit.ecltimetdb)
                  + '+/-' + str(fit.ecltimeerr) + ' BJD_TDB', file=log)

            # Brightness temperature calculation
            print('Starting Monte-Carlo Temperature Calculation', file=log)    
            kout = kurucz_inten.read(event.kuruczfile, freq=True)

            filterf = np.loadtxt(event.filtfile, unpack=True)
            filterf = np.concatenate((filterf[0:2,::-1].T,[filterf[0:2,0]]))

            logg     = np.log10(event.tep.g.val*100.)
            loggerr  = np.log10(event.tep.g.uncert*100.)
            tstar    = event.tstar
            tstarerr = event.tstarerr

            # Find index of depth
            countfix = 0
            for i in range(len(fit.parnames)):
                if fit.parnames[i] in ['Depth', 'depth', 'Maximum Eclipse Depth', 'Eclipse Depth']:
                    idepth = i

            # Count number of fixed parameters prior to the depth
            # parameter, to adjust the idepth
            for i in range(idepth):
                if fit.stepsize[i] <= 0:
                    countfix += 1

            idepthpost = idepth - countfix

            depthpost = posterior[:,idepthpost]

            if posterior.shape[0] < fit.numcalc:
                print("WARNING: not enough samples for Temperature Monte-Carlo!",
                      file=log)
                print("Reducing numcalc to match size of MCMC posterior.",
                      file=log)
                fit.numcalc  = posterior.shape[0]
                slicenum = posterior.shape[0] // fit.numcalc # always 1, but for clarity
                slicelim = slicenum * fit.numcalc
            else:
                # Since slice step must be an integer, we need to calculate
                # the limit of the posterior to slice such that we get
                # an array of the correct length
                slicenum = posterior.shape[0] // fit.numcalc
                slicelim = slicenum * fit.numcalc

            bsdata    = np.zeros((3,fit.numcalc))

            # Use every nth eclipse depth except the 0th
            bsdata[0] = depthpost[:slicelim:slicenum]
            bsdata[1] = np.random.normal(logg,  loggerr,  fit.numcalc)
            bsdata[2] = np.random.normal(tstar, tstarerr, fit.numcalc)

            tb, tbg, numnegf, fmfreq = zf.calcTb(bsdata, kout, filterf, event)

            tbm   = np.median(tb [np.where(tb  > 0)])
            tbsd  = np.std(   tb [np.where(tb  > 0)])
            tbgm  = np.median(tbg[np.where(tbg > 0)])
            tbgsd = np.std(   tbg[np.where(tbg > 0)])

            print('Band-center brightness temp = '
                  + str(round(tbgm,  2)) + ' +/- '
                  + str(round(tbgsd, 2)) + ' K', file=log)
            print('Integral    brightness temp = '
                  + str(round(tbm,  2)) + ' +/- '
                  + str(round(tbsd, 2)) + ' K', file=log)

            event.fit[0].fluxuc   = event.fp.aplev[np.where(event.good)] 
            event.fit[0].clipmask = fit.clipmask[np.where(event.good)]
            event.fit[0].flux     = event.fp.aplev[fit.mask] # Clipped flux
            event.fit[0].bestfit  = zf.zen(bp, fit.phase, fit.phat, fit.modelfuncs,
                                        fit.modeltypes, fit.npars) # Best fit (norm)

            # Data from plot
            event.fit[0].pbinphase       = pbinphase
            event.fit[0].pbinphot        = pbinphot
            event.fit[0].pbinphoterr     = pbinphoterr
            event.fit[0].pbinnoeclfit    = pbinnoeclfit
            event.fit[0].pbinbestfit     = pbinbestfit
            event.fit[0].pbinphotnorm    = pbinphotnorm
            event.fit[0].pbinphoterrnorm = pbinphoterrnorm

            # Temperatures
            event.fit[0].tbm   = tbm
            event.fit[0].tbsd  = tbsd
            event.fit[0].tbgm  = tbgm
            event.fit[0].tbgsd = tbgsd

            # Optimal phot description
            event.fit[0].bestphotdir   = fit.photdir[fit.iphot]
            event.fit[0].bestcentdir   = fit.centdir[fit.icent]
            event.fit[0].bestbinsize   = fit.bintry [fit.ibin]



            # Write IRSA table and FITS file
            if not os.path.exists(fit.outdir + 'irsa'):
                os.mkdir(fit.outdir + 'irsa')

            # Set the topstring
            topstring = zf.topstring(fit.papername, fit.month, fit.year,
                                     fit.journal, fit.instruments,
                                     fit.programs, fit.authors)

            irsa.do_irsa(event, event.fit[0], directory=fit.outdir,
                         topstring=topstring)

            
    print("Saving.")
    for n in range(nmodelsets):
        for i in range(nevents):
            event = eventlistlist[i][n]
            fit   = eventlistlist[i][n].fit[0]    
            run.p6Save(event, fit.outdir)
            
    minbic = np.inf
    for n in range(nmodelsets):
        for i in range(nevents):
            event = eventlistlist[i][n]
            fit   = eventlistlist[i][n].fit[0]
            print("For models " + ' '.join(fit.modelstrs) + ":", file=log)
            print("Best aperture:  " +     fit.photdir[fit.iphot], file=log)
            print("Best centering: " +     fit.centdir[fit.icent], file=log)
            print("Best binning:   " + str(fit.bintry[ fit.ibin]), file=log)
            minbic = np.min((minbic, fit.bic))

    print("Models\tBIC\tdelBIC", file=log)            
    for n in range(nmodelsets):
        for i in range(nevents):
            event = eventlistlist[i][n]
            fit   = eventlistlist[i][n].fit[0]            
            print(' '.join(fit.modelstrs) + '\t' + str(fit.bic) +
                  '\t' + str(fit.bic - minbic), file=log)
    
    print("End:  %s" % time.ctime(), file=log)

    log.close()
    for n in range(nmodelsets):
        for i in range(nevents):
            fit   = eventlistlist[i][n].fit[0]
            shutil.copy(templogfile, fit.outdir + logfile)

    # Delete temporary log
    os.unlink(templogfile)

    # Return directory of output (not used for joint fits)
    return fit.outdir, fit.centdir[fit.icent], fit.photdir[fit.iphot], chiout
示例#8
0
# Optimization:
leastsq    = True   # Least-squares minimization prior to the MCMC
chisqscale = False  # Scale the data uncertainties such red.chisq = 1

# Convergence:
grtest  = True   # Calculate the GR convergence test
grexit  = False  # Stop the MCMC after two successful GR

# File outputs:
logfile   = 'MCMC.log'         # Save the MCMC screen outputs to file
savefile  = 'MCMC_sample.npy'  # Save the MCMC parameters sample to file
savemodel = 'MCMC_models.npy'  # Save the MCMC evaluated models to file
plots     = True               # Generate best-fit, trace, and posterior plots

# Correlated-noise assessment:
wlike = False   # Use Carter & Winn's Wavelet-likelihood method
rms   = False   # Compute the time-averaging test and plot


# Run the MCMC:
#  posterior is the parameters' posterior distribution
#  bestp is the array of best fitting parameters
posterior, bestp = mc3.mcmc(data=data, uncert=uncert,
            func=func, indparams=indparams,
            params=params, pmin=pmin, pmax=pmax, stepsize=stepsize,
            prior=prior, priorlow=priorlow, priorup=priorup,
            leastsq=leastsq, chisqscale=chisqscale, mpi=mpi,
            numit=numit, nchains=nchains, walk=walk, burnin=burnin,
            grtest=grtest, grexit=grexit, wlike=wlike, logfile=logfile,
            plots=plots, savefile=savefile, savemodel=savemodel, rms=rms)
示例#9
0
# Alternatively, edit the paths from this script to adjust to your
# working directory.


# Import the necessary modules:
import sys
import numpy as np

sys.path.append("../MCcubed/")
import MCcubed as mc3

sys.path.append("../MCcubed/examples/models/")
from quadratic import quad

# Create a synthetic dataset:
x  = np.linspace(0, 10, 1000)         # Independent model variable
p0 = [3, -2.4, 0.5]                   # True-underlying model parameters
y  = quad(p0, x)                      # Noiseless model
uncert = np.sqrt(np.abs(y))           # Data points uncertainty
error  = np.random.normal(0, uncert)  # Noise for the data
data   = y + error                    # Noisy data set

params   = np.array([10.0, -2.0, 0.1])  # Initial guess of fitting params.
stepsize = np.array([0.03, 0.03, 0.05])

bestp, CRlo, CRhi, stdp, posterior, Zchain = mc3.mcmc(data, uncert,
    func=quad, indparams=[x], params=params, stepsize=stepsize,
    nsamples=1e5, burnin=1000)

nchains  =  10   # Number of parallel chains
burnin   = 100   # Number of burned-in samples per chain
thinning =   1   # Thinning factor for outputs

# Optimization:
leastsq    = True   # Least-squares minimization prior to the MCMC
chisqscale = False  # Scale the data uncertainties such red.chisq = 1

# Convergence:
grtest  = True   # Calculate the GR convergence test
grexit  = False  # Stop the MCMC after two successful GR

logfile   = 'MCMC.log'         # Save the MCMC screen outputs to file
savefile  = 'MCMC_sample.npy'  # Save the MCMC parameters sample to file
savemodel = 'MCMC_models.npy'  # Save the MCMC evaluated models to file
plots     = True               # Generate best-fit, trace, and posterior plots

# Correlated-noise assessment:
wlike = False  # Use Carter & Winn's Wavelet-likelihood method.
rms   = False  # Compute the time-averaging test and plot


# Run the MCMC:
posterior, bestp = mc3.mcmc(data=data, func=func, indparams=indparams,
            params=params,
            leastsq=leastsq, chisqscale=chisqscale, mpi=mpi,
            numit=numit, nchains=nchains, walk=walk, burnin=burnin,
            grtest=grtest, grexit=grexit, wlike=wlike, logfile=logfile,
            plots=plots, savefile=savefile, savemodel=savemodel, rms=rms)

import sys
import numpy as np
import matplotlib.pyplot as plt
sys.path.append("../MCcubed/")
import MCcubed as mc3

# Get function to model (and sample):
sys.path.append("../MCcubed/examples/models/")
from quadratic import quad

# Create a synthetic dataset:
x = np.linspace(0, 10, 100)  # Independent model variable
p0 = 3, -2.4, 0.5  # True-underlying model parameters
y = quad(p0, x)  # Noiseless model
uncert = np.sqrt(np.abs(y))  # Data points uncertainty
error = np.random.normal(0, uncert)  # Noise for the data
data = y + error  # Noisy data set

# Fit the quad polynomial coefficients:
params = np.array([20.0, -2.0, 0.1])  # Initial guess of fitting params.

# Run the MCMC:
posterior, bestp = mc3.mcmc(data,
                            uncert,
                            func=quad,
                            indparams=[x],
                            params=params,
                            numit=3e4,
                            burnin=100)