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                import numpy as np  | 
            
                            
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                import scipy.interpolate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import scipy.optimize  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import pandas as pd  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                _INTEGRAL_OUTER_RADIUS = 15.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class InvalidPSFError(ValueError):  | 
            
                            
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                    pass  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class PSFWrapper(object):  | 
            
                            
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                    def __init__(self, xs, ys, brightness_interp_x=None, brightness_interp_y=None):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self._xs = xs  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self._ys = ys  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self._psf_interpolated = scipy.interpolate.InterpolatedUnivariateSpline(xs, ys, k=2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                                                                ext='raise',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                                                                check_finite=True)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Memorize the total integral (will use it for normalization)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self._total_integral = self._psf_interpolated.integral(self._xs[0], _INTEGRAL_OUTER_RADIUS)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Now compute the truncation radius, which is a very conservative measurement  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # of the size of the PSF  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self._truncation_radius = self.find_eef_radius(0.9999)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Let's also compute another measurement more appropriate for convolution  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self._kernel_radius = self.find_eef_radius(0.999)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        assert self._kernel_radius <= self._truncation_radius  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        assert self._truncation_radius <= _INTEGRAL_OUTER_RADIUS  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Prepare brightness interpolation  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if brightness_interp_x is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            brightness_interp_x, brightness_interp_y = self._prepare_brightness_interpolation_points()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self._brightness_interp_x = brightness_interp_x  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self._brightness_interp_y = brightness_interp_y  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self._brightness_interpolation = scipy.interpolate.InterpolatedUnivariateSpline(brightness_interp_x,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                                                                        brightness_interp_y,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                                                                        k=2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                                                                        ext='extrapolate',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                                                                        check_finite=True)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def _prepare_brightness_interpolation_points(self):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Get the centers of the bins  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        interp_x = (self._xs[1:] + self._xs[:-1]) / 2.0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Compute the density  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        interp_y = np.array(map(lambda (a, b): self.integral(a, b) / (np.pi * (b ** 2 - a ** 2)) / self._total_integral,  | 
            
                            
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                                                zip(self._xs[:-1], self._xs[1:])))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Add zero at r = _INTEGRAL_OUTER_RADIUS so that the extrapolated values will be correct  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        interp_x = np.append(interp_x, [_INTEGRAL_OUTER_RADIUS])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        interp_y = np.append(interp_y, [0.0])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return interp_x, interp_y  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def find_eef_radius(self, fraction):  | 
            
                            
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                        f = lambda r: fraction - self.integral(1e-4, r) / self._total_integral  | 
            
                            
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                        radius, status = scipy.optimize.brentq(f, 0.005, _INTEGRAL_OUTER_RADIUS, full_output = True)  | 
            
                            
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                        assert status.converged, "Brentq did not converged"  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return radius  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def brightness(self, r):  | 
            
                            
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                        return self._brightness_interpolation(r)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    @property  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def xs(self):  | 
            
                            
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                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        X of the interpolation data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return self._xs  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    @property  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def ys(self):  | 
            
                            
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                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Y of the interpolation data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return self._ys  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def combine_with_other_psf(self, other_psf, w1, w2):  | 
            
                            
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                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Return a PSF which is the linear interpolation between this one and the other one provided  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        :param other_psf: another psf  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        :param w1: weight for self (i.e., this PSF)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        :param w2: weight for the other psf  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        :return: another PSF instance  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if isinstance(self, InvalidPSF) or isinstance(other_psf, InvalidPSF):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            return InvalidPSF()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Weight the ys  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        new_ys = w1 * self.ys + w2 * other_psf.ys  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Also weight the brightness interpolation points  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        new_br_interp_y = w1 * self._brightness_interp_y + w2 * other_psf._brightness_interp_y  | 
            
                            
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                    118
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                        return PSFWrapper(self.xs, new_ys,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                          brightness_interp_x=self._brightness_interp_x,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    120
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                                          brightness_interp_y=new_br_interp_y)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    122
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                    def to_pandas(self):  | 
            
                            
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                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    123
                 | 
                                    
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                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    124
                 | 
                                    
                                                     | 
                
                 | 
                        items = (('xs', self._xs), ('ys', self._ys)) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    125
                 | 
                                    
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                 | 
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                | 
                    126
                 | 
                                    
                                                     | 
                
                 | 
                        return pd.DataFrame.from_dict(dict(items))  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    127
                 | 
                                    
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                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    128
                 | 
                                    
                                                     | 
                
                 | 
                    @classmethod  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    129
                 | 
                                    
                                                     | 
                
                 | 
                    def from_pandas(cls, df):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                        
                        
                         
                                                                                        
                                                                                            
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    130
                 | 
                                    
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                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                        # Check for an invalid PSF  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                                                     | 
                
                 | 
                        xs = df.loc[:, 'xs'].values  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                        ys = df.loc[:, 'ys'].values  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                        if len(xs) == 0:  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                        
                        
                         
                                                                                        
                                                                                            
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
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                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                            # Should never happen  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                            assert len(ys) == 0, "Corrupted response file? A PSF has 0 xs values but more than 0 ys values"  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                        
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                            # An invalid PSF  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                            return InvalidPSF()  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                            return cls(xs, ys)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                    @classmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                    def from_TF1(cls, tf1_instance):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                        
                        
                         
                                                                                        
                                                                                            
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                        # Annoyingly, some PSFs for some Dec bins (at large Zenith angles) have  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                        # zero or negative integrals, i.e., they are useless. Return an unusable PSF  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                        # object in that case  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                        if tf1_instance.Integral(0, _INTEGRAL_OUTER_RADIUS) <= 0.0:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                            return InvalidPSF()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                        # Make interpolation  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                        xs = np.logspace(-3, np.log10(_INTEGRAL_OUTER_RADIUS), 500)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                        ys = np.array(map(lambda x:tf1_instance.Eval(x), xs), float)  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                                                                                                                                
                        
                         
                                                                                        
                                                                                            
                                                                                            
                                                                                            
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                        assert np.all(np.isfinite(xs))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                        assert np.all(np.isfinite(ys))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                        instance = cls(xs, ys)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                        instance._tf1 = tf1_instance.Clone()  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                        
                        
                         
                                                                                        
                                                                                            
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                        return instance  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                    def integral(self, a, b):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                                                                            
                        
                         
                                                                                        
                                                                                            
                                                                                            
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                        return self._psf_interpolated.integral(a, b)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    @property  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                    def truncation_radius(self):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                        return self._truncation_radius  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                    @property  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                    def total_integral(self):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                        return self._total_integral  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                    @property  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                    def kernel_radius(self):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                        return self._kernel_radius  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                # This is a class that, whatever you try to use it for, will raise an exception.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                # This is to make sure that we never use an invalid PSF without knowing it  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                class InvalidPSF(object):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                    # It can be useful to copy an invalid PSF. For instance HAL.get_simulated_dataset() makes a  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                    # copy of the HAL instance, including detector response, which can contain InvalidPSF (which  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                    # is fine as long as they are not used).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                    def __deepcopy__(self, memo):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                        return InvalidPSF()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                    # This allow the Invalid PSF to be saved in the HDF file  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                    def to_pandas(self):  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                                                                        
                        
                         
                                                                                        
                                                                                            
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                        items = (('xs', []), ('ys', [])) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                        return pd.DataFrame.from_dict(dict(items))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                    def __getattribute__(self, item):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                        # White list of available attributes  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                        if item in ["__deepcopy__", "to_pandas"]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                            return object.__getattribute__(self, item)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                        raise InvalidPSFError("Trying to use an invalid PSF") | 
            
            
                                                        
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                        
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