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                # Licensed under a 3-clause BSD style license - see LICENSE  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """Analysis of correlation of light curves."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import logging  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import matplotlib.pyplot as plt  | 
            
                            
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                import numpy as np  | 
            
                            
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                import scipy as sp  | 
            
                            
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                from mutis.lib.correlation import *  | 
            
                            
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                from mutis.lib.utils import interp_smooth_curve  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                __all__ = ["Correlation"]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                log = logging.getLogger(__name__)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class Correlation:  | 
            
                            
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                    """Analysis of the correlation of two signals.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    signal1 : :class:`~mutis.signal.Signal`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Values of the time axis.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    signal2 : :class:`~mutis.signal.Signal`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Values of the signal axis.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    fcorr : :py:class:`~str`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Method used to correlate the signals.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def __init__(self, signal1, signal2, fcorr):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.signal1 = signal1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.signal2 = signal2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.fcorr = fcorr  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.times = np.array([])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.dts = np.array([])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.nb = np.array([])  | 
            
                            
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                        self.values = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # TODO: have a much smaller set of attributes  | 
            
                            
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                        self.samples = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # storage of the significance limits of the correlation  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.l1s = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.l2s = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.l3s = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # storage of the uncertainties of the correlation  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.s1s = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.s2s = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.s3s = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # attributes indicating the ranges where the correlations are defined  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        t1, t2 = self.signal1.times, self.signal2.times  | 
            
                            
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                        self.tmin_full = t2.min() - t1.max()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.tmax_full = t2.max() - t1.min()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.t0_full = (self.tmax_full + self.tmin_full) / 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.tmin_same = -(np.max([t1.max() - t1.min(), t2.max() - t2.min()])) / 2 + self.t0_full  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.tmax_same = (np.max([t1.max() - t1.min(), t2.max() - t2.min()])) / 2 + self.t0_full  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.tmin_valid = (  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            -(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                np.max([t1.max() - t1.min(), t2.max() - t2.min()])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                - np.min([t1.max() - t1.min(), t2.max() - t2.min()])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            / 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            + self.t0_full  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.tmax_valid = (  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            +(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                np.max([t1.max() - t1.min(), t2.max() - t2.min()])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                - np.min([t1.max() - t1.min(), t2.max() - t2.min()])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            / 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            + self.t0_full  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def peak_find(self, smooth=False, smooth_std=None, Ninterp=1000):  | 
            
                            
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                        """Find the peaks of the correlation, optionally smoothing with a kernel of standard deviation `s`.  | 
            
                            
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                        Returns dict with peak positions and significances, ordered from closest to farthest from zero.  | 
            
                            
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                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        x, y = self.times, self.values  | 
            
                            
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                        if smooth_std is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            dt1 = np.mean(self.signal1.times[1:]-self.signal1.times[:-1])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            std1 = np.std(self.signal1.times[1:]-self.signal1.times[:-1])  | 
            
                            
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                            dt2 = np.mean(self.signal2.times[1:]-self.signal2.times[:-1])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            std2 = np.std(self.signal2.times[1:]-self.signal2.times[:-1])  | 
            
                            
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                            smooth_std = 1*np.max([dt1,dt2])  | 
            
                            
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                        if smooth:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            xs, ys = interp_smooth_curve(x, y, smooth_std, Ninterp)  | 
            
                            
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                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            xs, ys = x, y  | 
            
                            
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                        idx, props = sp.signal.find_peaks(ys)  | 
            
                            
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                        if smooth:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            s1s_x, s1s_y = interp_smooth_curve(x, self.l1s[1], smooth_std, Ninterp)  | 
            
                            
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                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            s1s_x, s1s_y = x, self.l1s[1]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        peak_idx = idx[np.argsort(np.abs(xs[idx]))]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        peak_x = xs[peak_idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        peak_y = ys[peak_idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        peak_signf1s = ys[peak_idx]/s1s_y[peak_idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        peak_signif_percent = list()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for i in range(len(peak_x)):  | 
            
                            
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                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    111
                 | 
                                    
                                                     | 
                
                 | 
                            f = sp.interpolate.interp1d(self.times, self.mc_corr, axis=-1)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    112
                 | 
                                    
                                                     | 
                
                 | 
                            peak_signif_percent.append( sp.stats.percentileofscore(f(peak_x[i]), peak_y[i], kind='strict') )  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                                                                            
                        
                         
                                                                                        
                                                                                            
                                                                                            
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    113
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    114
                 | 
                                    
                                                     | 
                
                 | 
                        return {'x':peak_x, 's':smooth_std, 'y':peak_y, 'signf1s':peak_signf1s, 'signif_percent':np.array(peak_signif_percent)} | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    115
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    116
                 | 
                                    
                                                     | 
                
                 | 
                    def gen_synth(self, samples):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    117
                 | 
                                    
                                                     | 
                
                 | 
                        """Generates the synthetic light curves.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    118
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    119
                 | 
                                    
                                                     | 
                
                 | 
                        Generates the specified number `samples` of synthetic light  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    120
                 | 
                                    
                                                     | 
                
                 | 
                        curves for each signal, to be used to compute the significance  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    121
                 | 
                                    
                                                     | 
                
                 | 
                        the correlation.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    122
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    123
                 | 
                                    
                                                     | 
                
                 | 
                        Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    124
                 | 
                                    
                                                     | 
                
                 | 
                        ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    125
                 | 
                                    
                                                     | 
                
                 | 
                        samples : :py:class:`~int`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    126
                 | 
                                    
                                                     | 
                
                 | 
                            Number of synthetic light curves to be generated for each signal.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    127
                 | 
                                    
                                                     | 
                
                 | 
                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    128
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    129
                 | 
                                    
                                                     | 
                
                 | 
                        self.samples = samples  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    130
                 | 
                                    
                                                     | 
                
                 | 
                        self.signal1.gen_synth(samples)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                        self.signal2.gen_synth(samples)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                    def gen_corr(self, uncert=True, dsamples=500):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                        """Generates the correlation of the signals.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                        Generates the correlation of the signals, and computes their  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                        confidence level from the synthetic light curves, which must  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                        have been generated before.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                        if uncert and self.signal1.dvalues is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                            log.error(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                                "uncert is True but no uncertainties for Signal 1 were specified, setting uncert to False"  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                            uncert = False  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                        if uncert and self.signal2.dvalues is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                            log.error(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                                "uncert is True but no uncertainties for Signal 2 were specified, setting uncert to False"  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                            uncert = False  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                        if len(self.times) == 0 or len(self.dts) == 0:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                            raise Exception(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                                "You need to define the times on which to calculate the correlation."  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                                "Please use gen_times() or manually set them."  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                        # TODO: refactor if/elif with a helper function  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                        mc_corr = np.empty((self.samples, self.times.size))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                        if uncert:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                            mc_sig = np.empty((dsamples, self.times.size))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                        if self.fcorr == "welsh":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                            for idx in range(self.samples):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                                mc_corr[idx] = welsh(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal1.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal1.synth[idx],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal2.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal2.synth[idx],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                                    self.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                                    self.dts,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                                )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                            if uncert:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                                for idx in range(dsamples):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                                    mc_sig[idx] = welsh(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal1.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal1.values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                                        + self.signal1.dvalues * np.random.randn(self.signal1.values.size),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal2.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal2.values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                                        + self.signal2.dvalues * np.random.randn(self.signal2.values.size),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                                        self.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                                        self.dts,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                                    )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                            self.values = welsh(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal1.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal1.values,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal2.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal2.values,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                                self.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                                self.dts,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                        elif self.fcorr == "kroedel":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                            for idx in range(self.samples):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                                mc_corr[idx] = kroedel(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal1.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal1.synth[idx],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal2.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal2.synth[idx],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                                    self.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                                    self.dts,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                                )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                            if uncert:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                                for idx in range(dsamples):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                                    mc_sig[idx] = kroedel(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal1.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal1.values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                                        + self.signal1.dvalues * np.random.randn(self.signal1.values.size),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal2.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal2.values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                                        + self.signal2.dvalues * np.random.randn(self.signal2.values.size),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                                        self.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                                        self.dts,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                                    )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                            self.values = kroedel(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal1.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal1.values,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal2.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal2.values,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                                self.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                                self.dts,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                        elif self.fcorr == "numpy":  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                            for idx in range(self.samples):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                                mc_corr[idx] = nindcf(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal1.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal1.synth[idx],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal2.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                                    self.signal2.synth[idx],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                                )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                            if uncert:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                                for idx in range(dsamples):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                                    mc_sig[idx] = nindcf(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal1.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal1.values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                                        + self.signal1.dvalues * np.random.randn(self.signal1.values.size),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal2.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                                        self.signal2.values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                                        + self.signal2.dvalues * np.random.randn(self.signal2.values.size),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                                    )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                            self.values = nindcf(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal1.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal1.values,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal2.times,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal2.values,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                            raise Exception("Unknown method " + self.fcorr + " for correlation.") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    250
                 | 
                                    
                                                     | 
                
                 | 
                        self.l3s = np.percentile(mc_corr, [0.135, 99.865], axis=0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    251
                 | 
                                    
                                                     | 
                
                 | 
                        self.l2s = np.percentile(mc_corr, [2.28, 97.73], axis=0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    252
                 | 
                                    
                                                     | 
                
                 | 
                        self.l1s = np.percentile(mc_corr, [15.865, 84.135], axis=0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    253
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    254
                 | 
                                    
                                                     | 
                
                 | 
                        self.mc_corr = mc_corr # save them to be able to compute exact significance later...  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    255
                 | 
                                    
                                                     | 
                
                 | 
                          | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    256
                 | 
                                    
                                                     | 
                
                 | 
                        if uncert:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    257
                 | 
                                    
                                                     | 
                
                 | 
                            self.s3s = np.percentile(mc_sig, [0.135, 99.865], axis=0)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    258
                 | 
                                    
                                                     | 
                
                 | 
                            self.s2s = np.percentile(mc_sig, [2.28, 97.73], axis=0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    259
                 | 
                                    
                                                     | 
                
                 | 
                            self.s1s = np.percentile(mc_sig, [15.865, 84.135], axis=0)  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    260
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    261
                 | 
                                    
                                                     | 
                
                 | 
                    def gen_times(self, ftimes="canopy", *args, **kwargs):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    262
                 | 
                                    
                                                     | 
                
                 | 
                        """Sets times and bins using the method defined by ftimes parameter.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    263
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    264
                 | 
                                    
                                                     | 
                
                 | 
                        Parameters  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    265
                 | 
                                    
                                                     | 
                
                 | 
                        ----------  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    266
                 | 
                                    
                                                     | 
                
                 | 
                        ftimes : :py:class:`~str`  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    267
                 | 
                                    
                                                     | 
                
                 | 
                            Method used to bin the time interval of the correlation.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    268
                 | 
                                    
                                                     | 
                
                 | 
                            Possible values are:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    269
                 | 
                                    
                                                     | 
                
                 | 
                            - "canopy": Computes a binning as dense as possible, with  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    270
                 | 
                                    
                                                     | 
                
                 | 
                            variable bin width and (with a minimum and a maximum  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    271
                 | 
                                    
                                                     | 
                
                 | 
                            resolution) and a minimum statistic.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    272
                 | 
                                    
                                                     | 
                
                 | 
                            - "rawab": Computes a binning with variable bin width,  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    273
                 | 
                                    
                                                     | 
                
                 | 
                            a given step, maximum bin size and a minimum statistic.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    274
                 | 
                                    
                                                     | 
                
                 | 
                            - "uniform": Computes a binning with uniform bin width  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    275
                 | 
                                    
                                                     | 
                
                 | 
                            and a minimum statistic.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    276
                 | 
                                    
                                                     | 
                
                 | 
                            - "numpy": Computes a binning suitable for method='numpy'.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    277
                 | 
                                    
                                                     | 
                
                 | 
                        """  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    278
                 | 
                                    
                                                     | 
                
                 | 
                        if ftimes == "canopy":  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    279
                 | 
                                    
                                                     | 
                
                 | 
                            self.times, self.dts, self.nb = gen_times_canopy(  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    280
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal1.times, self.signal2.times, *args, **kwargs  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    281
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    282
                 | 
                                    
                                                     | 
                
                 | 
                        elif ftimes == "rawab":  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    283
                 | 
                                    
                                                     | 
                
                 | 
                            self.times, self.dts, self.nb = gen_times_rawab(  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    284
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal1.times, self.signal2.times, *args, **kwargs  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    285
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    286
                 | 
                                    
                                                     | 
                
                 | 
                        elif ftimes == "uniform":  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    287
                 | 
                                    
                                                     | 
                
                 | 
                            self.times, self.dts, self.nb = gen_times_uniform(  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    288
                 | 
                                    
                                                     | 
                
                 | 
                                self.signal1.times, self.signal2.times, *args, **kwargs  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    289
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    290
                 | 
                                    
                                                     | 
                
                 | 
                        elif ftimes == "numpy":  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    291
                 | 
                                    
                                                     | 
                
                 | 
                            t1, t2 = self.signal1.times, self.signal1.times  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                        
                        
                         
                                                                                        
                                                                                            
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    292
                 | 
                                    
                                                     | 
                
                 | 
                            dt = np.max([(t1.max() - t1.min()) / t1.size, (t2.max() - t2.min()) / t2.size])  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    293
                 | 
                                    
                                                     | 
                
                 | 
                            n1 = int(np.ptp(t1) / dt * 10.0)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    294
                 | 
                                    
                                                     | 
                
                 | 
                            n2 = int(np.ptp(t1) / dt * 10.0)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    295
                 | 
                                    
                                                     | 
                
                 | 
                            self.times = np.linspace(self.tmin_full, self.tmax_full, n1 + n2 - 1)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    296
                 | 
                                    
                                                     | 
                
                 | 
                            self.dts = np.full(self.times.size, (self.tmax_full - self.tmin_full) / (n1 + n2))  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    297
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    298
                 | 
                                    
                                                     | 
                
                 | 
                            raise Exception("Unknown method " + ftimes + ", please indicate how to generate times.") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    299
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    300
                 | 
                                    
                                                     | 
                
                 | 
                    def plot_corr(self, uncert=True, ax=None, legend=False):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    301
                 | 
                                    
                                                     | 
                
                 | 
                        """Plots the correlation of the signals.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    302
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    303
                 | 
                                    
                                                     | 
                
                 | 
                        Plots the correlation of the signal, and the confidence limits  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    304
                 | 
                                    
                                                     | 
                
                 | 
                        computed from the synthetic curves.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    305
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    306
                 | 
                                    
                                                     | 
                
                 | 
                        Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    307
                 | 
                                    
                                                     | 
                
                 | 
                        ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    308
                 | 
                                    
                                                     | 
                
                 | 
                        ax : :class:`matplotlib.axes.Axes`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    309
                 | 
                                    
                                                     | 
                
                 | 
                            Axes to be used (default None, it creates a new axes).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    310
                 | 
                                    
                                                     | 
                
                 | 
                        legend : :py:class:`~bool`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    311
                 | 
                                    
                                                     | 
                
                 | 
                            Whether to add a legend indicating the confidence levels.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    312
                 | 
                                    
                                                     | 
                
                 | 
                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    313
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    314
                 | 
                                    
                                                     | 
                
                 | 
                        # TODO: develop a plotting object for plots  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    315
                 | 
                                    
                                                     | 
                
                 | 
                        #       this will considerably shorten the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    316
                 | 
                                    
                                                     | 
                
                 | 
                        #       number of attributes of this class  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    317
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    318
                 | 
                                    
                                                     | 
                
                 | 
                        if uncert and self.signal1.dvalues is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    319
                 | 
                                    
                                                     | 
                
                 | 
                            log.error(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    320
                 | 
                                    
                                                     | 
                
                 | 
                                "uncert is True but no uncertainties for Signal 1 were specified, setting uncert to False"  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    321
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    322
                 | 
                                    
                                                     | 
                
                 | 
                            uncert = False  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    323
                 | 
                                    
                                                     | 
                
                 | 
                        if uncert and self.signal2.dvalues is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    324
                 | 
                                    
                                                     | 
                
                 | 
                            log.error(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    325
                 | 
                                    
                                                     | 
                
                 | 
                                "uncert is True but no uncertainties for Signal 2 were specified, setting uncert to False"  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    326
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    327
                 | 
                                    
                                                     | 
                
                 | 
                            uncert = False  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    328
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    329
                 | 
                                    
                                                     | 
                
                 | 
                        # plt.figure()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    330
                 | 
                                    
                                                     | 
                
                 | 
                        if ax is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    331
                 | 
                                    
                                                     | 
                
                 | 
                            ax = plt.gca()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    332
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    333
                 | 
                                    
                                                     | 
                
                 | 
                        ax.plot(self.times, self.l1s[0], "c-.")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    334
                 | 
                                    
                                                     | 
                
                 | 
                        ax.plot(self.times, self.l1s[1], "c-.", label=r"$1\sigma$")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    335
                 | 
                                    
                                                     | 
                
                 | 
                        ax.plot(self.times, self.l2s[0], "k--")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    336
                 | 
                                    
                                                     | 
                
                 | 
                        ax.plot(self.times, self.l2s[1], "k--", label=r"$2\sigma$")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    337
                 | 
                                    
                                                     | 
                
                 | 
                        ax.plot(self.times, self.l3s[0], "r-")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    338
                 | 
                                    
                                                     | 
                
                 | 
                        ax.plot(self.times, self.l3s[1], "r-", label=r"$3\sigma$")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    339
                 | 
                                    
                                                     | 
                
                 | 
                        ax.plot(self.times, self.values, "b.--", lw=1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    340
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    341
                 | 
                                    
                                                     | 
                
                 | 
                        # full limit  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    342
                 | 
                                    
                                                     | 
                
                 | 
                        ax.axvline(x=self.tmin_full, ymin=-1, ymax=+1, color="red", linewidth=4, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    343
                 | 
                                    
                                                     | 
                
                 | 
                        ax.axvline(x=self.tmax_full, ymin=-1, ymax=+1, color="red", linewidth=4, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    344
                 | 
                                    
                                                     | 
                
                 | 
                        # same limit  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    345
                 | 
                                    
                                                     | 
                
                 | 
                        ax.axvline(x=self.tmin_same, ymin=-1, ymax=+1, color="black", linewidth=2, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    346
                 | 
                                    
                                                     | 
                
                 | 
                        ax.axvline(x=self.tmax_same, ymin=-1, ymax=+1, color="black", linewidth=2, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    347
                 | 
                                    
                                                     | 
                
                 | 
                        # valid limit  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    348
                 | 
                                    
                                                     | 
                
                 | 
                        ax.axvline(x=self.tmin_valid, ymin=-1, ymax=+1, color="cyan", linewidth=1, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    349
                 | 
                                    
                                                     | 
                
                 | 
                        ax.axvline(x=self.tmax_valid, ymin=-1, ymax=+1, color="cyan", linewidth=1, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    350
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    351
                 | 
                                    
                                                     | 
                
                 | 
                        if uncert:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    352
                 | 
                                    
                                                     | 
                
                 | 
                            ax.fill_between(x=self.times, y1=self.s1s[0], y2=self.s1s[1], color="b", alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    353
                 | 
                                    
                                                     | 
                
                 | 
                            ax.fill_between(x=self.times, y1=self.s2s[0], y2=self.s2s[1], color="b", alpha=0.3)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    354
                 | 
                                    
                                                     | 
                
                 | 
                            ax.fill_between(x=self.times, y1=self.s3s[0], y2=self.s3s[1], color="b", alpha=0.1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    355
                 | 
                                    
                                                     | 
                
                 | 
                              | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    356
                 | 
                                    
                                                     | 
                
                 | 
                              | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    357
                 | 
                                    
                                                     | 
                
                 | 
                        if legend:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    358
                 | 
                                    
                                                     | 
                
                 | 
                            ax.legend()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    359
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    360
                 | 
                                    
                                                     | 
                
                 | 
                        # plt.show()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    361
                 | 
                                    
                                                     | 
                
                 | 
                        return ax  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    362
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    363
                 | 
                                    
                                                     | 
                
                 | 
                    def plot_times(self, rug=False):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    364
                 | 
                                    
                                                     | 
                
                 | 
                        """Plots the time binning generated previously.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    365
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    366
                 | 
                                    
                                                     | 
                
                 | 
                        Plots the number of total bins, their distribution and the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    367
                 | 
                                    
                                                     | 
                
                 | 
                        number of points in each bin for the generated time binning,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    368
                 | 
                                    
                                                     | 
                
                 | 
                        previously generated with Correlation().gen_times(...).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    369
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    370
                 | 
                                    
                                                     | 
                
                 | 
                        Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    371
                 | 
                                    
                                                     | 
                
                 | 
                        ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    372
                 | 
                                    
                                                     | 
                
                 | 
                        rug : :py:class:`~bool`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    373
                 | 
                                    
                                                     | 
                
                 | 
                            Whether to make a rug plot just below the binning, to make  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    374
                 | 
                                    
                                                     | 
                
                 | 
                            it easier to visually understand the density and distribution  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    375
                 | 
                                    
                                                     | 
                
                 | 
                            of the generated bins.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    376
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    377
                 | 
                                    
                                                     | 
                
                 | 
                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    378
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    379
                 | 
                                    
                                                     | 
                
                 | 
                        # TODO: develop a plotting object for plots  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    380
                 | 
                                    
                                                     | 
                
                 | 
                        #       this will considerably shorten the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    381
                 | 
                                    
                                                     | 
                
                 | 
                        #       number of attributes of this class  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    382
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    383
                 | 
                                    
                                                     | 
                
                 | 
                        fig, ax = plt.subplots(nrows=2, ncols=1, sharex=True)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    384
                 | 
                                    
                                                     | 
                
                 | 
                        tab, dtab, nab = self.times, self.dts, self.nb  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    385
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    386
                 | 
                                    
                                                     | 
                
                 | 
                        fig.suptitle("Total bins: {:d}".format(self.times.size)) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    387
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].plot(tab, nab, "b.")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    388
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].errorbar(x=tab, y=nab, xerr=dtab / 2, fmt="none")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    389
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].set_ylabel("$n_i$") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    390
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].grid()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    391
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].axvline(x=self.tmin_full, ymin=-1, ymax=+1, color="red", linewidth=4, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    392
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].axvline(x=self.tmax_full, ymin=-1, ymax=+1, color="red", linewidth=4, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    393
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].axvline(x=self.tmin_same, ymin=-1, ymax=+1, color="black", linewidth=2, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    394
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].axvline(x=self.tmax_same, ymin=-1, ymax=+1, color="black", linewidth=2, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    395
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].axvline(x=self.tmin_valid, ymin=-1, ymax=+1, color="cyan", linewidth=1, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    396
                 | 
                                    
                                                     | 
                
                 | 
                        ax[0].axvline(x=self.tmax_valid, ymin=-1, ymax=+1, color="cyan", linewidth=1, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    397
                 | 
                                    
                                                     | 
                
                 | 
                        ax[1].plot(tab, dtab, "b.")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    398
                 | 
                                    
                                                     | 
                
                 | 
                        ax[1].set_ylabel("$dt_i$") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    399
                 | 
                                    
                                                     | 
                
                 | 
                        # ax[1].grid()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    400
                 | 
                                    
                                                     | 
                
                 | 
                        ax[1].axvline(x=self.tmin_full, ymin=-1, ymax=+1, color="red", linewidth=4, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    401
                 | 
                                    
                                                     | 
                
                 | 
                        ax[1].axvline(x=self.tmax_full, ymin=-1, ymax=+1, color="red", linewidth=4, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    402
                 | 
                                    
                                                     | 
                
                 | 
                        ax[1].axvline(x=self.tmin_same, ymin=-1, ymax=+1, color="black", linewidth=2, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    403
                 | 
                                    
                                                     | 
                
                 | 
                        ax[1].axvline(x=self.tmax_same, ymin=-1, ymax=+1, color="black", linewidth=2, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    404
                 | 
                                    
                                                     | 
                
                 | 
                        ax[1].axvline(x=self.tmin_valid, ymin=-1, ymax=+1, color="cyan", linewidth=1, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    405
                 | 
                                    
                                                     | 
                
                 | 
                        ax[1].axvline(x=self.tmax_valid, ymin=-1, ymax=+1, color="cyan", linewidth=1, alpha=0.5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    406
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    407
                 | 
                                    
                                                     | 
                
                 | 
                        if rug:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    408
                 | 
                                    
                                                     | 
                
                 | 
                            for time in self.times:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    409
                 | 
                                    
                                                     | 
                
                 | 
                                ax[1].axvline(x=time, ymin=0, ymax=0.2, color="black", linewidth=0.8, alpha=1.0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    410
                 | 
                                    
                                                     | 
                
                 | 
                            # ax[1].plot(self.t, ax[1].get_ylim()[0]+np.zeros(self.t.size), 'k|', alpha=0.8, lw=1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    411
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    412
                 | 
                                    
                                                     | 
                
                 | 
                        ax[1].grid()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    413
                 | 
                                    
                                                     | 
                
                 | 
                        # fig.show()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    414
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    415
                 | 
                                    
                                                     | 
                
                 | 
                    def plot_signals(self, ax=None):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    416
                 | 
                                    
                                                     | 
                
                 | 
                        """Plots the signals involved in this correlation.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    417
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    418
                 | 
                                    
                                                     | 
                
                 | 
                        Plots the signals involved in this correlation, in the same window  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    419
                 | 
                                    
                                                     | 
                
                 | 
                        but with different twin y-axes and different colors.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    420
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    421
                 | 
                                    
                                                     | 
                
                 | 
                        Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    422
                 | 
                                    
                                                     | 
                
                 | 
                        ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    423
                 | 
                                    
                                                     | 
                
                 | 
                        ax : :py:class:`~matplotlib.axes.Axes`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    424
                 | 
                                    
                                                     | 
                
                 | 
                            Axes to be used for plotting.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    425
                 | 
                                    
                                                     | 
                
                 | 
                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    426
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    427
                 | 
                                    
                                                     | 
                
                 | 
                        # TODO: develop a plotting object for plots  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    428
                 | 
                                    
                                                     | 
                
                 | 
                        #       this will considerably shorten the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    429
                 | 
                                    
                                                     | 
                
                 | 
                        #       number of attributes of this class  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    430
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    431
                 | 
                                    
                                                     | 
                
                 | 
                        if ax is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    432
                 | 
                                    
                                                     | 
                
                 | 
                            ax = plt.gca()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    433
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    434
                 | 
                                    
                                                     | 
                
                 | 
                        ax.plot(self.signal1.times, self.signal1.values, "b.-", lw=1, alpha=0.4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    435
                 | 
                                    
                                                     | 
                
                 | 
                        ax.tick_params(axis="y", labelcolor="b")  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    436
                 | 
                                    
                                                     | 
                
                 | 
                        ax.set_ylabel("sig 1", color="b") | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    437
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    438
                 | 
                                    
                                                     | 
                
                 | 
                        ax2 = ax.twinx()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    439
                 | 
                                    
                                                     | 
                
                 | 
                        ax2.plot(self.signal2.times, self.signal2.values, "r.-", lw=1, alpha=0.4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    440
                 | 
                                    
                                                     | 
                
                 | 
                        ax2.tick_params(axis="y", labelcolor="r")  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    441
                 | 
                                    
                                                     | 
                
                 | 
                        ax2.set_ylabel("sig 2", color="r") | 
            
            
                                                        
            
                                    
            
            
                | 
                    442
                 | 
                                    
                                                     | 
                
                 | 
                 |