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computing_the_Bayes_factor.py

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  • Forked from Gregory Ashton / PyFstat
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    core.py 36.37 KiB
    """ The core tools used in pyfstat """
    import os
    import logging
    import copy
    import glob
    
    import numpy as np
    
    # workaround for matplotlib on X-less remote logins
    if os.environ.has_key('DISPLAY'):
        import matplotlib.pyplot as plt
    else:
        logging.info('No $DISPLAY environment variable found, \
                      so importing matplotlib.pyplot with non-interactive "Agg" backend.')
        import matplotlib
        matplotlib.use('Agg')
        import matplotlib.pyplot as plt
    
    import scipy.special
    import scipy.optimize
    import lal
    import lalpulsar
    
    import helper_functions
    helper_functions.set_up_matplotlib_defaults()
    args, tqdm = helper_functions.set_up_command_line_arguments()
    earth_ephem, sun_ephem = helper_functions.set_up_ephemeris_configuration()
    detector_colors = {'h1': 'C0', 'l1': 'C1'}
    
    
    def read_par(label=None, outdir=None, filename=None, suffix='par'):
        """ Read in a .par file, returns a dictionary of the values
    
        Note, can also read in .loudest files
        """
        if filename is None:
            filename = '{}/{}.{}'.format(outdir, label, suffix)
        if os.path.isfile(filename) is False:
            raise ValueError("No file ({}) found".format(filename))
        d = {}
        with open(filename, 'r') as f:
            d = get_dictionary_from_lines(f)
        return d
    
    
    def get_dictionary_from_lines(lines):
        d = {}
        for line in lines:
            if line[0] not in ['%', '#'] and len(line.split('=')) == 2:
                try:
                    key, val = line.rstrip('\n').split('=')
                    key = key.strip()
                    d[key] = np.float64(eval(val.rstrip('; ')))
                except SyntaxError:
                    pass
        return d
    
    
    def predict_fstat(h0, cosi, psi, Alpha, Delta, Freq, sftfilepattern,
                      minStartTime, maxStartTime, IFO=None, assumeSqrtSX=None,
                      **kwargs):
        """ Wrapper to lalapps_PredictFstat """
        cl_pfs = []
        cl_pfs.append("lalapps_PredictFstat")
        cl_pfs.append("--h0={}".format(h0))
        cl_pfs.append("--cosi={}".format(cosi))
        cl_pfs.append("--psi={}".format(psi))
        cl_pfs.append("--Alpha={}".format(Alpha))
        cl_pfs.append("--Delta={}".format(Delta))
        cl_pfs.append("--Freq={}".format(Freq))
    
        cl_pfs.append("--DataFiles='{}'".format(sftfilepattern))
        if assumeSqrtSX:
            cl_pfs.append("--assumeSqrtSX={}".format(assumeSqrtSX))
        if IFO:
            cl_pfs.append("--IFO={}".format(IFO))
    
        cl_pfs.append("--minStartTime={}".format(int(minStartTime)))
        cl_pfs.append("--maxStartTime={}".format(int(maxStartTime)))
        cl_pfs.append("--outputFstat=/tmp/fs")
    
        cl_pfs = " ".join(cl_pfs)
        helper_functions.run_commandline(cl_pfs)
        d = read_par(filename='/tmp/fs')
        return float(d['twoF_expected']), float(d['twoF_sigma'])
    
    
    class BaseSearchClass(object):
        """ The base search class, provides general functions """
    
        earth_ephem_default = earth_ephem
        sun_ephem_default = sun_ephem
    
        def _add_log_file(self):
            """ Log output to a file, requires class to have outdir and label """
            logfilename = '{}/{}.log'.format(self.outdir, self.label)
            fh = logging.FileHandler(logfilename)
            fh.setLevel(logging.INFO)
            fh.setFormatter(logging.Formatter(
                '%(asctime)s %(levelname)-8s: %(message)s',
                datefmt='%y-%m-%d %H:%M'))
            logging.getLogger().addHandler(fh)
    
        def _shift_matrix(self, n, dT):
            """ Generate the shift matrix
    
            Parameters
            ----------
            n: int
                The dimension of the shift-matrix to generate
            dT: float
                The time delta of the shift matrix
    
            Returns
            -------
            m: array (n, n)
                The shift matrix
            """
    
            m = np.zeros((n, n))
            factorial = np.math.factorial
            for i in range(n):
                for j in range(n):
                    if i == j:
                        m[i, j] = 1.0
                    elif i > j:
                        m[i, j] = 0.0
                    else:
                        if i == 0:
                            m[i, j] = 2*np.pi*float(dT)**(j-i) / factorial(j-i)
                        else:
                            m[i, j] = float(dT)**(j-i) / factorial(j-i)
            return m
    
        def _shift_coefficients(self, theta, dT):
            """ Shift a set of coefficients by dT
    
            Parameters
            ----------
            theta: array-like, shape (n,)
                vector of the expansion coefficients to transform starting from the
                lowest degree e.g [phi, F0, F1,...].
            dT: float
                difference between the two reference times as tref_new - tref_old.
    
            Returns
            -------
            theta_new: array-like shape (n,)
                vector of the coefficients as evaluate as the new reference time.
            """
    
            n = len(theta)
            m = self._shift_matrix(n, dT)
            return np.dot(m, theta)
    
        def _calculate_thetas(self, theta, delta_thetas, tbounds, theta0_idx=0):
            """ Calculates the set of coefficients for the post-glitch signal """
            thetas = [theta]
            for i, dt in enumerate(delta_thetas):
                if i < theta0_idx:
                    pre_theta_at_ith_glitch = self._shift_coefficients(
                        thetas[0], tbounds[i+1] - self.tref)
                    post_theta_at_ith_glitch = pre_theta_at_ith_glitch - dt
                    thetas.insert(0, self._shift_coefficients(
                        post_theta_at_ith_glitch, self.tref - tbounds[i+1]))
    
                elif i >= theta0_idx:
                    pre_theta_at_ith_glitch = self._shift_coefficients(
                        thetas[i], tbounds[i+1] - self.tref)
                    post_theta_at_ith_glitch = pre_theta_at_ith_glitch + dt
                    thetas.append(self._shift_coefficients(
                        post_theta_at_ith_glitch, self.tref - tbounds[i+1]))
            self.thetas_at_tref = thetas
            return thetas
    
        def _get_list_of_matching_sfts(self):
            """ Returns a list of sfts matching the sftfilepattern """
            sftfilepatternlist = np.atleast_1d(self.sftfilepattern.split(';'))
            matches = [glob.glob(p) for p in sftfilepatternlist]
            matches = [item for sublist in matches for item in sublist]
            if len(matches) > 0:
                return matches
            else:
                raise IOError('No sfts found matching {}'.format(
                    self.sftfilepattern))
    
    
    class ComputeFstat(object):
        """ Base class providing interface to `lalpulsar.ComputeFstat` """
    
        earth_ephem_default = earth_ephem
        sun_ephem_default = sun_ephem
    
        @helper_functions.initializer
        def __init__(self, tref, sftfilepattern=None, minStartTime=None,
                     maxStartTime=None, binary=False, transient=True, BSGL=False,
                     detectors=None, minCoverFreq=None, maxCoverFreq=None,
                     earth_ephem=None, sun_ephem=None, injectSources=None,
                     injectSqrtSX=None, assumeSqrtSX=None, SSBprec=None):
            """
            Parameters
            ----------
            tref: int
                GPS seconds of the reference time.
            sftfilepattern: str
                Pattern to match SFTs using wildcards (*?) and ranges [0-9];
                mutiple patterns can be given separated by colons.
            minStartTime, maxStartTime: float GPStime
                Only use SFTs with timestemps starting from (including, excluding)
                this epoch
            binary: bool
                If true, search of binary parameters.
            transient: bool
                If true, allow for the Fstat to be computed over a transient range.
            BSGL: bool
                If true, compute the BSGL rather than the twoF value.
            detectors: str
                Two character reference to the data to use, specify None for no
                contraint. If multiple-separate by comma.
            minCoverFreq, maxCoverFreq: float
                The min and max cover frequency passed to CreateFstatInput, if
                either is None the range of frequencies in the SFT less 1Hz is
                used.
            earth_ephem, sun_ephem: str
                Paths of the two files containing positions of Earth and Sun,
                respectively at evenly spaced times, as passed to CreateFstatInput.
                If None defaults defined in BaseSearchClass will be used.
            injectSources: dict or str
                Either a dictionary of the values to inject, or a string pointing
                to the .cff file to inject
            injectSqrtSX:
                Not yet implemented
            assumeSqrtSX: float
                Don't estimate noise-floors but assume (stationary) per-IFO
                sqrt{SX} (if single value: use for all IFOs). If signal only,
                set sqrtSX=1
            SSBprec: int
                Flag to set the SSB calculation: 0=Newtonian, 1=relativistic,
                2=relativisitic optimised, 3=DMoff, 4=NO_SPIN
    
            """
    
            if earth_ephem is None:
                self.earth_ephem = self.earth_ephem_default
            if sun_ephem is None:
                self.sun_ephem = self.sun_ephem_default
    
            self.init_computefstatistic_single_point()
    
        def get_SFTCatalog(self):
            if hasattr(self, 'SFTCatalog'):
                return
            if self.sftfilepattern is None:
                for k in ['minStartTime', 'maxStartTime', 'detectors']:
                    if getattr(self, k) is None:
                        raise ValueError('You must provide "{}" to injectSources'
                                         .format(k))
                C1 = getattr(self, 'injectSources', None) is None
                C2 = getattr(self, 'injectSqrtSX', None) is None
                if C1 and C2:
                    raise ValueError('You must specify either one of injectSources'
                                     ' or injectSqrtSX')
                SFTCatalog = lalpulsar.SFTCatalog()
                Tsft = 1800
                Toverlap = 0
                Tspan = self.maxStartTime - self.minStartTime
                detNames = lal.CreateStringVector(
                    *[d for d in self.detectors.split(',')])
                multiTimestamps = lalpulsar.MakeMultiTimestamps(
                    self.minStartTime, Tspan, Tsft, Toverlap, detNames.length)
                SFTCatalog = lalpulsar.MultiAddToFakeSFTCatalog(
                    SFTCatalog, detNames, multiTimestamps)
                return SFTCatalog
    
            logging.info('Initialising SFTCatalog')
            constraints = lalpulsar.SFTConstraints()
            if self.detectors:
                if ',' in self.detectors:
                    logging.info('Using all detector data')
                else:
                    constraints.detector = self.detectors
            if self.minStartTime:
                constraints.minStartTime = lal.LIGOTimeGPS(self.minStartTime)
            if self.maxStartTime:
                constraints.maxStartTime = lal.LIGOTimeGPS(self.maxStartTime)
    
            logging.info('Loading data matching pattern {}'.format(
                         self.sftfilepattern))
            SFTCatalog = lalpulsar.SFTdataFind(self.sftfilepattern, constraints)
            detector_names = list(set([d.header.name for d in SFTCatalog.data]))
            self.detector_names = detector_names
            SFT_timestamps = [d.header.epoch for d in SFTCatalog.data]
            self.SFT_timestamps = [float(s) for s in SFT_timestamps]
            if len(SFT_timestamps) == 0:
                raise ValueError('Failed to load any data')
            if args.quite is False and args.no_interactive is False:
                try:
                    from bashplotlib.histogram import plot_hist
                    print('Data timestamps histogram:')
                    plot_hist(SFT_timestamps, height=5, bincount=50)
                except ImportError:
                    pass
            if len(detector_names) == 0:
                raise ValueError('No data loaded.')
            logging.info('Loaded {} data files from detectors {}'.format(
                len(SFT_timestamps), detector_names))
            cl_tconv1 = 'lalapps_tconvert {}'.format(int(SFT_timestamps[0]))
            output    = helper_functions.run_commandline(cl_tconv1)
            tconvert1 = output.rstrip('\n')
            cl_tconv2 = 'lalapps_tconvert {}'.format(int(SFT_timestamps[-1]))
            output    = helper_functions.run_commandline(cl_tconv2)
            tconvert2 = output.rstrip('\n')
            logging.info('Data spans from {} ({}) to {} ({})'.format(
                int(SFT_timestamps[0]),
                tconvert1,
                int(SFT_timestamps[-1]),
                tconvert2))
            return SFTCatalog
    
        def init_computefstatistic_single_point(self):
            """ Initilisation step of run_computefstatistic for a single point """
    
            SFTCatalog = self.get_SFTCatalog()
    
            logging.info('Initialising ephems')
            ephems = lalpulsar.InitBarycenter(self.earth_ephem, self.sun_ephem)
    
            logging.info('Initialising FstatInput')
            dFreq = 0
            if self.transient:
                self.whatToCompute = lalpulsar.FSTATQ_ATOMS_PER_DET
            else:
                self.whatToCompute = lalpulsar.FSTATQ_2F
    
            FstatOAs = lalpulsar.FstatOptionalArgs()
            FstatOAs.randSeed = lalpulsar.FstatOptionalArgsDefaults.randSeed
            if self.SSBprec:
                logging.info('Using SSBprec={}'.format(self.SSBprec))
                FstatOAs.SSBprec = self.SSBprec
            else:
                FstatOAs.SSBprec = lalpulsar.FstatOptionalArgsDefaults.SSBprec
            FstatOAs.Dterms = lalpulsar.FstatOptionalArgsDefaults.Dterms
            FstatOAs.runningMedianWindow = lalpulsar.FstatOptionalArgsDefaults.runningMedianWindow
            FstatOAs.FstatMethod = lalpulsar.FstatOptionalArgsDefaults.FstatMethod
            if self.assumeSqrtSX is None:
                FstatOAs.assumeSqrtSX = lalpulsar.FstatOptionalArgsDefaults.assumeSqrtSX
            else:
                mnf = lalpulsar.MultiNoiseFloor()
                assumeSqrtSX = np.atleast_1d(self.assumeSqrtSX)
                mnf.sqrtSn[:len(assumeSqrtSX)] = assumeSqrtSX
                mnf.length = len(assumeSqrtSX)
                FstatOAs.assumeSqrtSX = mnf
            FstatOAs.prevInput = lalpulsar.FstatOptionalArgsDefaults.prevInput
            FstatOAs.collectTiming = lalpulsar.FstatOptionalArgsDefaults.collectTiming
    
            if hasattr(self, 'injectSources') and type(self.injectSources) == dict:
                logging.info('Injecting source with params: {}'.format(
                    self.injectSources))
                PPV = lalpulsar.CreatePulsarParamsVector(1)
                PP = PPV.data[0]
                PP.Amp.h0 = self.injectSources['h0']
                PP.Amp.cosi = self.injectSources['cosi']
                PP.Amp.phi0 = self.injectSources['phi0']
                PP.Amp.psi = self.injectSources['psi']
                PP.Doppler.Alpha = self.injectSources['Alpha']
                PP.Doppler.Delta = self.injectSources['Delta']
                PP.Doppler.fkdot = np.array(self.injectSources['fkdot'])
                PP.Doppler.refTime = self.tref
                if 't0' not in self.injectSources:
                    PP.Transient.type = lalpulsar.TRANSIENT_NONE
                FstatOAs.injectSources = PPV
            elif hasattr(self, 'injectSources') and type(self.injectSources) == str:
                logging.info('Injecting source from param file: {}'.format(
                    self.injectSources))
                PPV = lalpulsar.PulsarParamsFromFile(self.injectSources, self.tref)
                FstatOAs.injectSources = PPV
            else:
                FstatOAs.injectSources = lalpulsar.FstatOptionalArgsDefaults.injectSources
            if hasattr(self, 'injectSqrtSX') and self.injectSqrtSX is not None:
                raise ValueError('injectSqrtSX not implemented')
            else:
                FstatOAs.InjectSqrtSX = lalpulsar.FstatOptionalArgsDefaults.injectSqrtSX
            if self.minCoverFreq is None or self.maxCoverFreq is None:
                fAs = [d.header.f0 for d in SFTCatalog.data]
                fBs = [d.header.f0 + (d.numBins-1)*d.header.deltaF
                       for d in SFTCatalog.data]
                self.minCoverFreq = np.min(fAs) + 0.5
                self.maxCoverFreq = np.max(fBs) - 0.5
                logging.info('Min/max cover freqs not provided, using '
                             '{} and {}, est. from SFTs'.format(
                                 self.minCoverFreq, self.maxCoverFreq))
    
            self.FstatInput = lalpulsar.CreateFstatInput(SFTCatalog,
                                                         self.minCoverFreq,
                                                         self.maxCoverFreq,
                                                         dFreq,
                                                         ephems,
                                                         FstatOAs
                                                         )
    
            logging.info('Initialising PulsarDoplerParams')
            PulsarDopplerParams = lalpulsar.PulsarDopplerParams()
            PulsarDopplerParams.refTime = self.tref
            PulsarDopplerParams.Alpha = 1
            PulsarDopplerParams.Delta = 1
            PulsarDopplerParams.fkdot = np.array([0, 0, 0, 0, 0, 0, 0])
            self.PulsarDopplerParams = PulsarDopplerParams
    
            logging.info('Initialising FstatResults')
            self.FstatResults = lalpulsar.FstatResults()
    
            if self.BSGL:
                if len(self.detector_names) < 2:
                    raise ValueError("Can't use BSGL with single detectors data")
                else:
                    logging.info('Initialising BSGL')
    
                # Tuning parameters - to be reviewed
                numDetectors = 2
                if hasattr(self, 'nsegs'):
                    p_val_threshold = 1e-6
                    Fstar0s = np.linspace(0, 1000, 10000)
                    p_vals = scipy.special.gammaincc(2*self.nsegs, Fstar0s)
                    Fstar0 = Fstar0s[np.argmin(np.abs(p_vals - p_val_threshold))]
                    if Fstar0 == Fstar0s[-1]:
                        raise ValueError('Max Fstar0 exceeded')
                else:
                    Fstar0 = 15.
                logging.info('Using Fstar0 of {:1.2f}'.format(Fstar0))
                oLGX = np.zeros(10)
                oLGX[:numDetectors] = 1./numDetectors
                self.BSGLSetup = lalpulsar.CreateBSGLSetup(numDetectors,
                                                           Fstar0,
                                                           oLGX,
                                                           True,
                                                           1)
                self.twoFX = np.zeros(10)
                self.whatToCompute = (self.whatToCompute +
                                      lalpulsar.FSTATQ_2F_PER_DET)
    
            if self.transient:
                logging.info('Initialising transient parameters')
                self.windowRange = lalpulsar.transientWindowRange_t()
                self.windowRange.type = lalpulsar.TRANSIENT_RECTANGULAR
                self.windowRange.t0Band = 0
                self.windowRange.dt0 = 1
                self.windowRange.tauBand = 0
                self.windowRange.dtau = 1
    
        def compute_fullycoherent_det_stat_single_point(
                self, F0, F1, F2, Alpha, Delta, asini=None, period=None, ecc=None,
                tp=None, argp=None):
            """ Compute the fully-coherent det. statistic at a single point """
    
            return self.run_computefstatistic_single_point(
                self.minStartTime, self.maxStartTime, F0, F1, F2, Alpha, Delta,
                asini, period, ecc, tp, argp)
    
        def run_computefstatistic_single_point(self, tstart, tend, F0, F1,
                                               F2, Alpha, Delta, asini=None,
                                               period=None, ecc=None, tp=None,
                                               argp=None):
            """ Returns twoF or ln(BSGL) fully-coherently at a single point """
    
            self.PulsarDopplerParams.fkdot = np.array([F0, F1, F2, 0, 0, 0, 0])
            self.PulsarDopplerParams.Alpha = Alpha
            self.PulsarDopplerParams.Delta = Delta
            if self.binary:
                self.PulsarDopplerParams.asini = asini
                self.PulsarDopplerParams.period = period
                self.PulsarDopplerParams.ecc = ecc
                self.PulsarDopplerParams.tp = tp
                self.PulsarDopplerParams.argp = argp
    
            lalpulsar.ComputeFstat(self.FstatResults,
                                   self.FstatInput,
                                   self.PulsarDopplerParams,
                                   1,
                                   self.whatToCompute
                                   )
    
            if self.transient is False:
                if self.BSGL is False:
                    return self.FstatResults.twoF[0]
    
                twoF = np.float(self.FstatResults.twoF[0])
                self.twoFX[0] = self.FstatResults.twoFPerDet(0)
                self.twoFX[1] = self.FstatResults.twoFPerDet(1)
                log10_BSGL = lalpulsar.ComputeBSGL(twoF, self.twoFX,
                                                   self.BSGLSetup)
                return log10_BSGL/np.log10(np.exp(1))
    
            self.windowRange.t0 = int(tstart)  # TYPE UINT4
            self.windowRange.tau = int(tend - tstart)  # TYPE UINT4
    
            FS = lalpulsar.ComputeTransientFstatMap(
                self.FstatResults.multiFatoms[0], self.windowRange, False)
    
            if self.BSGL is False:
                twoF = 2*FS.F_mn.data[0][0]
                if np.isnan(twoF):
                    return 0
                else:
                    return twoF
    
            FstatResults_single = copy.copy(self.FstatResults)
            FstatResults_single.lenth = 1
            FstatResults_single.data = self.FstatResults.multiFatoms[0].data[0]
            FS0 = lalpulsar.ComputeTransientFstatMap(
                FstatResults_single.multiFatoms[0], self.windowRange, False)
            FstatResults_single.data = self.FstatResults.multiFatoms[0].data[1]
            FS1 = lalpulsar.ComputeTransientFstatMap(
                FstatResults_single.multiFatoms[0], self.windowRange, False)
    
            self.twoFX[0] = 2*FS0.F_mn.data[0][0]
            self.twoFX[1] = 2*FS1.F_mn.data[0][0]
            log10_BSGL = lalpulsar.ComputeBSGL(
                    2*FS.F_mn.data[0][0], self.twoFX, self.BSGLSetup)
    
            return log10_BSGL/np.log10(np.exp(1))
    
        def calculate_twoF_cumulative(self, F0, F1, F2, Alpha, Delta, asini=None,
                                      period=None, ecc=None, tp=None, argp=None,
                                      tstart=None, tend=None, npoints=1000,
                                      ):
            """ Calculate the cumulative twoF along the obseration span
            Params
            ------
            F0, F1, F2, Alpha, Delta: float
                Parameters at which to compute the cumulative twoF
            asini, period, ecc, tp, argp: float
                Binary parameters at which to compute the cumulative twoF (default
                to None)
            tstart, tend: int
                GPS times to restrict the range of data used - automatically
                truncated to the span of data available
            npoints: int
                Number of points to compute twoF along the span
    
            Note: the minimum cumulatibe twoF is hard-coded to be computed over
            the first 6 hours from either the first timestampe in the data (if
            tstart is smaller than it) or tstart.
    
            """
            SFTminStartTime = self.SFT_timestamps[0]
            SFTmaxStartTime = self.SFT_timestamps[-1]
            tstart = np.max([SFTminStartTime, tstart])
            min_tau = np.max([SFTminStartTime - tstart, 0]) + 3600*6
            max_tau = SFTmaxStartTime - tstart
            taus = np.linspace(min_tau, max_tau, npoints)
            twoFs = []
            if self.transient is False:
                self.transient = True
                self.init_computefstatistic_single_point()
            for tau in taus:
                twoFs.append(self.run_computefstatistic_single_point(
                    tstart=tstart, tend=tstart+tau, F0=F0, F1=F1, F2=F2,
                    Alpha=Alpha, Delta=Delta, asini=asini, period=period, ecc=ecc,
                    tp=tp, argp=argp))
    
            return taus, np.array(twoFs)
    
        def calculate_pfs(self, label, outdir, N=15, IFO=None, pfs_input=None):
    
            if pfs_input is None:
                if os.path.isfile('{}/{}.loudest'.format(outdir, label)) is False:
                    raise ValueError(
                        'Need a loudest file to add the predicted Fstat')
                loudest = read_par(label, outdir, suffix='loudest')
                pfs_input = {key: loudest[key] for key in
                             ['h0', 'cosi', 'psi', 'Alpha', 'Delta', 'Freq']}
            times = np.linspace(self.minStartTime, self.maxStartTime, N+1)[1:]
            times = np.insert(times, 0, self.minStartTime + 86400/2.)
            out = [predict_fstat(minStartTime=self.minStartTime, maxStartTime=t,
                                 sftfilepattern=self.sftfilepattern, IFO=IFO,
                                 **pfs_input) for t in times]
            pfs, pfs_sigma = np.array(out).T
            return times, pfs, pfs_sigma
    
        def plot_twoF_cumulative(self, label, outdir, ax=None, c='k', savefig=True,
                                 title=None, add_pfs=False, N=15,
                                 injectSources=None, **kwargs):
            if ax is None:
                fig, ax = plt.subplots()
            if injectSources:
                pfs_input = dict(
                    h0=injectSources['h0'], cosi=injectSources['cosi'],
                    psi=injectSources['psi'], Alpha=injectSources['Alpha'],
                    Delta=injectSources['Delta'], Freq=injectSources['fkdot'][0])
            else:
                pfs_input = None
    
            taus, twoFs = self.calculate_twoF_cumulative(**kwargs)
            ax.plot(taus/86400., twoFs, label='All detectors', color=c)
            if len(self.detector_names) > 1:
                detector_names = self.detector_names
                detectors = self.detectors
                for d in self.detector_names:
                    self.detectors = d
                    self.init_computefstatistic_single_point()
                    taus, twoFs = self.calculate_twoF_cumulative(**kwargs)
                    ax.plot(taus/86400., twoFs, label='{}'.format(d),
                            color=detector_colors[d.lower()])
                self.detectors = detectors
                self.detector_names = detector_names
    
            if add_pfs:
                times, pfs, pfs_sigma = self.calculate_pfs(
                    label, outdir, N=N, pfs_input=pfs_input)
                ax.fill_between(
                    (times-self.minStartTime)/86400., pfs-pfs_sigma, pfs+pfs_sigma,
                    color=c,
                    label=r'Predicted $\langle 2\mathcal{F} \rangle\pm $ 1-$\sigma$ band',
                    zorder=-10, alpha=0.2)
                if len(self.detector_names) > 1:
                    for d in self.detector_names:
                        times, pfs, pfs_sigma = self.calculate_pfs(
                            label, outdir, IFO=d.upper(), N=N, pfs_input=pfs_input)
                        ax.fill_between(
                            (times-self.minStartTime)/86400., pfs-pfs_sigma,
                            pfs+pfs_sigma, color=detector_colors[d.lower()],
                            alpha=0.5,
                            label=(
                                'Predicted $2\mathcal{{F}}$ 1-$\sigma$ band ({})'
                                .format(d.upper())),
                            zorder=-10)
    
            ax.set_xlabel(r'Days from $t_{{\rm start}}={:.0f}$'.format(
                kwargs['tstart']))
            if self.BSGL:
                ax.set_ylabel(r'$\log_{10}(\mathrm{BSGL})_{\rm cumulative}$')
            else:
                ax.set_ylabel(r'$\widetilde{2\mathcal{F}}_{\rm cumulative}$')
            ax.set_xlim(0, taus[-1]/86400)
            ax.legend(frameon=False, loc=2, fontsize=6)
            if title:
                ax.set_title(title)
            if savefig:
                plt.tight_layout()
                plt.savefig('{}/{}_twoFcumulative.png'.format(outdir, label))
                return taus, twoFs
            else:
                return ax
    
    
    class SemiCoherentSearch(BaseSearchClass, ComputeFstat):
        """ A semi-coherent search """
    
        @helper_functions.initializer
        def __init__(self, label, outdir, tref, nsegs=None, sftfilepattern=None,
                     binary=False, BSGL=False, minStartTime=None,
                     maxStartTime=None, minCoverFreq=None, maxCoverFreq=None,
                     detectors=None, earth_ephem=None, sun_ephem=None,
                     injectSources=None, assumeSqrtSX=None, SSBprec=None):
            """
            Parameters
            ----------
            label, outdir: str
                A label and directory to read/write data from/to.
            tref, minStartTime, maxStartTime: int
                GPS seconds of the reference time, and start and end of the data.
            nsegs: int
                The (fixed) number of segments
            sftfilepattern: str
                Pattern to match SFTs using wildcards (*?) and ranges [0-9];
                mutiple patterns can be given separated by colons.
    
            For all other parameters, see pyfstat.ComputeFStat.
            """
    
            self.fs_file_name = "{}/{}_FS.dat".format(self.outdir, self.label)
            if self.earth_ephem is None:
                self.earth_ephem = self.earth_ephem_default
            if self.sun_ephem is None:
                self.sun_ephem = self.sun_ephem_default
            self.transient = True
            self.init_computefstatistic_single_point()
            self.init_semicoherent_parameters()
    
        def init_semicoherent_parameters(self):
            logging.info(('Initialising semicoherent parameters from {} to {} in'
                          ' {} segments').format(
                self.minStartTime, self.maxStartTime, self.nsegs))
            self.transient = True
            self.whatToCompute = lalpulsar.FSTATQ_2F+lalpulsar.FSTATQ_ATOMS_PER_DET
            self.tboundaries = np.linspace(self.minStartTime, self.maxStartTime,
                                           self.nsegs+1)
    
        def run_semi_coherent_computefstatistic_single_point(
                self, F0, F1, F2, Alpha, Delta, asini=None,
                period=None, ecc=None, tp=None, argp=None,
                record_segments=False):
            """ Returns twoF or ln(BSGL) semi-coherently at a single point """
    
            if hasattr(self, 'SFT_timestamps'):
                if self.tboundaries[0] < self.SFT_timestamps[0]:
                    logging.debug(
                        'Semi-coherent start time {} before first SFT timestamp {}'
                        .format(self.tboundaries[0], self.SFT_timestamps[0]))
                if self.tboundaries[-1] > self.SFT_timestamps[-1]:
                    logging.debug(
                        'Semi-coherent end time {} after last SFT timestamp {}'
                        .format(self.tboundaries[-1], self.SFT_timestamps[-1]))
    
            self.PulsarDopplerParams.fkdot = np.array([F0, F1, F2, 0, 0, 0, 0])
            self.PulsarDopplerParams.Alpha = Alpha
            self.PulsarDopplerParams.Delta = Delta
            if self.binary:
                self.PulsarDopplerParams.asini = asini
                self.PulsarDopplerParams.period = period
                self.PulsarDopplerParams.ecc = ecc
                self.PulsarDopplerParams.tp = tp
                self.PulsarDopplerParams.argp = argp
    
            lalpulsar.ComputeFstat(self.FstatResults,
                                   self.FstatInput,
                                   self.PulsarDopplerParams,
                                   1,
                                   self.whatToCompute
                                   )
    
            #if self.transient is False:
            #    if self.BSGL is False:
            #        return self.FstatResults.twoF[0]
            #    twoF = np.float(self.FstatResults.twoF[0])
            #    self.twoFX[0] = self.FstatResults.twoFPerDet(0)
            #    self.twoFX[1] = self.FstatResults.twoFPerDet(1)
            #    log10_BSGL = lalpulsar.ComputeBSGL(twoF, self.twoFX,
            #                                       self.BSGLSetup)
            #    return log10_BSGL/np.log10(np.exp(1))
    
            detStat = 0
            if record_segments:
                self.detStat_per_segment = []
            for tstart, tend in zip(self.tboundaries[:-1], self.tboundaries[1:]):
                self.windowRange.t0 = int(tstart)  # TYPE UINT4
                self.windowRange.tau = int(tend - tstart)  # TYPE UINT4
    
                FS = lalpulsar.ComputeTransientFstatMap(
                    self.FstatResults.multiFatoms[0], self.windowRange, False)
    
                if self.BSGL is False:
                    d_detStat = 2*FS.F_mn.data[0][0]
                else:
                    FstatResults_single = copy.copy(self.FstatResults)
                    FstatResults_single.lenth = 1
                    FstatResults_single.data = self.FstatResults.multiFatoms[0].data[0]
                    FS0 = lalpulsar.ComputeTransientFstatMap(
                        FstatResults_single.multiFatoms[0], self.windowRange, False)
                    FstatResults_single.data = self.FstatResults.multiFatoms[0].data[1]
                    FS1 = lalpulsar.ComputeTransientFstatMap(
                        FstatResults_single.multiFatoms[0], self.windowRange, False)
    
                    self.twoFX[0] = 2*FS0.F_mn.data[0][0]
                    self.twoFX[1] = 2*FS1.F_mn.data[0][0]
                    log10_BSGL = lalpulsar.ComputeBSGL(
                            2*FS.F_mn.data[0][0], self.twoFX, self.BSGLSetup)
                    d_detStat = log10_BSGL/np.log10(np.exp(1))
                if np.isnan(d_detStat):
                    logging.debug('NaNs in semi-coherent twoF treated as zero')
                    d_detStat = 0
                detStat += d_detStat
                if record_segments:
                    self.detStat_per_segment.append(d_detStat)
    
            return detStat
    
    
    class SemiCoherentGlitchSearch(BaseSearchClass, ComputeFstat):
        """ A semi-coherent glitch search
    
        This implements a basic `semi-coherent glitch F-stat in which the data
        is divided into segments either side of the proposed glitches and the
        fully-coherent F-stat in each segment is summed to give the semi-coherent
        F-stat
        """
    
        @helper_functions.initializer
        def __init__(self, label, outdir, tref, minStartTime, maxStartTime,
                     nglitch=0, sftfilepattern=None, theta0_idx=0, BSGL=False,
                     minCoverFreq=None, maxCoverFreq=None, assumeSqrtSX=None,
                     detectors=None, earth_ephem=None, sun_ephem=None,
                     SSBprec=None, injectSources=None):
            """
            Parameters
            ----------
            label, outdir: str
                A label and directory to read/write data from/to.
            tref, minStartTime, maxStartTime: int
                GPS seconds of the reference time, and start and end of the data.
            nglitch: int
                The (fixed) number of glitches; this can zero, but occasionally
                this causes issue (in which case just use ComputeFstat).
            sftfilepattern: str
                Pattern to match SFTs using wildcards (*?) and ranges [0-9];
                mutiple patterns can be given separated by colons.
            theta0_idx, int
                Index (zero-based) of which segment the theta refers to - uyseful
                if providing a tight prior on theta to allow the signal to jump
                too theta (and not just from)
    
            For all other parameters, see pyfstat.ComputeFStat.
            """
    
            self.fs_file_name = "{}/{}_FS.dat".format(self.outdir, self.label)
            if self.earth_ephem is None:
                self.earth_ephem = self.earth_ephem_default
            if self.sun_ephem is None:
                self.sun_ephem = self.sun_ephem_default
            self.transient = True
            self.binary = False
            self.init_computefstatistic_single_point()
    
        def compute_nglitch_fstat(self, F0, F1, F2, Alpha, Delta, *args):
            """ Returns the semi-coherent glitch summed twoF """
    
            args = list(args)
            tboundaries = ([self.minStartTime] + args[-self.nglitch:]
                           + [self.maxStartTime])
            delta_F0s = args[-3*self.nglitch:-2*self.nglitch]
            delta_F1s = args[-2*self.nglitch:-self.nglitch]
            delta_F2 = np.zeros(len(delta_F0s))
            delta_phi = np.zeros(len(delta_F0s))
            theta = [0, F0, F1, F2]
            delta_thetas = np.atleast_2d(
                    np.array([delta_phi, delta_F0s, delta_F1s, delta_F2]).T)
    
            thetas = self._calculate_thetas(theta, delta_thetas, tboundaries,
                                           theta0_idx=self.theta0_idx)
    
            twoFSum = 0
            for i, theta_i_at_tref in enumerate(thetas):
                ts, te = tboundaries[i], tboundaries[i+1]
    
                twoFVal = self.run_computefstatistic_single_point(
                    ts, te, theta_i_at_tref[1], theta_i_at_tref[2],
                    theta_i_at_tref[3], Alpha, Delta)
                twoFSum += twoFVal
    
            if np.isfinite(twoFSum):
                return twoFSum
            else:
                return -np.inf
    
        def compute_glitch_fstat_single(self, F0, F1, F2, Alpha, Delta, delta_F0,
                                        delta_F1, tglitch):
            """ Returns the semi-coherent glitch summed twoF for nglitch=1
    
            Note: OBSOLETE, used only for testing
            """
    
            theta = [F0, F1, F2]
            delta_theta = [delta_F0, delta_F1, 0]
            tref = self.tref
    
            theta_at_glitch = self._shift_coefficients(theta, tglitch - tref)
            theta_post_glitch_at_glitch = theta_at_glitch + delta_theta
            theta_post_glitch = self._shift_coefficients(
                theta_post_glitch_at_glitch, tref - tglitch)
    
            twoFsegA = self.run_computefstatistic_single_point(
                self.minStartTime, tglitch, theta[0], theta[1], theta[2], Alpha,
                Delta)
    
            if tglitch == self.maxStartTime:
                return twoFsegA
    
            twoFsegB = self.run_computefstatistic_single_point(
                tglitch, self.maxStartTime, theta_post_glitch[0],
                theta_post_glitch[1], theta_post_glitch[2], Alpha,
                Delta)
    
            return twoFsegA + twoFsegB