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                from typing import Optional, Tuple, Generator  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import torch  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import numpy as np  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from ...constants import MIN_FLOAT_32  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from ...typing import TypePatchSize  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from ..image import Image  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from ..subject import Subject  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from .sampler import RandomSampler  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class WeightedSampler(RandomSampler):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    r"""Randomly extract patches from a volume given a probability map.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    The probability of sampling a patch centered on a specific voxel is the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    value of that voxel in the probability map. The probabilities need not be  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    normalized. For example, voxels can have values 0, 1 and 5. Voxels with  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    value 0 will never be at the center of a patch. Voxels with value 5 will  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    have 5 times more chance of being at the center of a patch that voxels  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with a value of 1.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Args:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        patch_size: See :class:`~torchio.data.PatchSampler`.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        probability_map: Name of the image in the input subject that will be  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            used as a sampling probability map.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Raises:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        RuntimeError: If the probability map is empty.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Example:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        >>> import torchio as tio  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        >>> subject = tio.Subject(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        ...     t1=tio.ScalarImage('t1_mri.nii.gz'), | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        ...     sampling_map=tio.Image('sampling.nii.gz', type=tio.SAMPLING_MAP), | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        ... )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        >>> patch_size = 64  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        >>> sampler = tio.data.WeightedSampler(patch_size, 'sampling_map')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        >>> for patch in sampler(subject):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        ...     print(patch['index_ini'])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    .. note:: The index of the center of a patch with even size :math:`s` is  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        arbitrarily set to :math:`s/2`. This is an implementation detail that  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        will typically not make any difference in practice.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    .. note:: Values of the probability map near the border will be set to 0 as  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        the center of the patch cannot be at the border (unless the patch has  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        size 1 or 2 along that axis).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  # noqa: E501  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def __init__(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            self,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            patch_size: TypePatchSize,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            probability_map: str,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            ):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        super().__init__(patch_size)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.probability_map_name = probability_map  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        self.cdf = None  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                    def _generate_patches(  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            subject: Subject,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            num_patches: Optional[int] = None,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            ) -> Generator[Subject, None, None]:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        probability_map = self.get_probability_map(subject)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        probability_map = self.process_probability_map(  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            probability_map, subject)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        cdf = self.get_cumulative_distribution_function(probability_map)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        patches_left = num_patches if num_patches is not None else True  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        while patches_left:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            yield self.extract_patch(subject, probability_map, cdf)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            if num_patches is not None:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                patches_left -= 1  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    def get_probability_map_image(self, subject: Subject) -> Image:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if self.probability_map_name in subject:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            return subject[self.probability_map_name]  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        else:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            message = (  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                f'Image "{self.probability_map_name}"' | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                f' not found in subject: {subject}' | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            raise KeyError(message)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def get_probability_map(self, subject: Subject) -> torch.Tensor:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data = self.get_probability_map_image(subject).data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if torch.any(data < 0):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            message = (  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                'Negative values found'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                f' in probability map "{self.probability_map_name}"' | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    92
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                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            raise ValueError(message)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def process_probability_map(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            self,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            probability_map: torch.Tensor,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            subject: Subject,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    100
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                            ) -> np.ndarray:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        # Using float32 can create cdf with maximum very far from 1, e.g. 0.92!  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data = probability_map[0].numpy().astype(np.float64)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    103
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                        assert data.ndim == 3  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    104
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                        self.clear_probability_borders(data, self.patch_size)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    105
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                        total = data.sum()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    106
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                        if total == 0:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    107
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                            half_patch_size = tuple(n // 2 for n in self.patch_size)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            message = (  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                'Empty probability map found:'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                f' {self.get_probability_map_image(subject).path}' | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                '\nVoxels with positive probability might be near the image'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                ' border.\nIf you suspect that this is the case, try adding a'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    113
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                                ' padding transform\nwith half the patch size:'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    114
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                                f' torchio.Pad({half_patch_size})' | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    115
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                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    116
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                            raise RuntimeError(message)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data /= total  # normalize probabilities  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    @staticmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    121
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                    def clear_probability_borders(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    122
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                            probability_map: np.ndarray,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            patch_size: TypePatchSize,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    124
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                            ) -> None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    125
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                        # Set probability to 0 on voxels that wouldn't possibly be sampled  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    126
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                        # given the current patch size  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    127
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                        # We will arbitrarily define the center of an array with even length  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    128
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                        # using the // Python operator  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    129
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                        # For example, the center of an array (3, 4) will be on (1, 2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    130
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                        #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    131
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                        #   Patch         center  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                     | 
                
                 | 
                        #  . . . .        . . . .  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                        #  . . . .   ->   . . x .  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                        #  . . . .        . . . .  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                        #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                        #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                        #    Prob. map      After preprocessing  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                        #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                        #  x x x x x x x       . . . . . . .  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                        #  x x x x x x x       . . x x x x .  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                        #  x x x x x x x  -->  . . x x x x .  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                        #  x x x x x x x  -->  . . x x x x .  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                        #  x x x x x x x       . . x x x x .  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                        #  x x x x x x x       . . . . . . .  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                        #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                        # The dots represent removed probabilities, x mark possible locations  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                        crop_ini = patch_size // 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                        crop_fin = (patch_size - 1) // 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                        crop_i, crop_j, crop_k = crop_ini  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                        probability_map[:crop_i, :, :] = 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                        probability_map[:, :crop_j, :] = 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                        probability_map[:, :, :crop_k] = 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                        # The call tolist() is very important. Using np.uint16 as negative  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                        # index will not work because e.g. -np.uint16(2) == 65534  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                        crop_i, crop_j, crop_k = crop_fin.tolist()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                        if crop_i:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                            probability_map[-crop_i:, :, :] = 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                        if crop_j:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                            probability_map[:, -crop_j:, :] = 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                        if crop_k:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                            probability_map[:, :, -crop_k:] = 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                    @staticmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                    def get_cumulative_distribution_function(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                            probability_map: np.ndarray,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                            ) -> Tuple[np.ndarray, np.ndarray]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                        """Return the cumulative distribution function of a probability map."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                        flat_map = probability_map.flatten()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                        flat_map_normalized = flat_map / flat_map.sum()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                        cdf = np.cumsum(flat_map_normalized)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                        return cdf  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    def extract_patch(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                            self,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                            subject: Subject,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                            probability_map: np.ndarray,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                            cdf: np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                            ) -> Subject:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                        index_ini = self.get_random_index_ini(probability_map, cdf)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                        cropped_subject = self.crop(subject, index_ini, self.patch_size)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                        cropped_subject['index_ini'] = index_ini.astype(int)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                        return cropped_subject  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                    def get_random_index_ini(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                            self,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                            probability_map: np.ndarray,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                            cdf: np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                            ) -> np.ndarray:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                        center = self.sample_probability_map(probability_map, cdf)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                        assert np.all(center >= 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                        # See self.clear_probability_borders  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                        index_ini = center - self.patch_size // 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                        assert np.all(index_ini >= 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                        return index_ini  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                    @classmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                    def sample_probability_map(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                            cls,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                            probability_map: np.ndarray,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                            cdf: np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                            ) -> np.ndarray:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                        """Inverse transform sampling.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                        Example:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                            >>> probability_map = np.array(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                            ...    ((0,0,1,1,5,2,1,1,0),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                            ...     (2,2,2,2,2,2,2,2,2)))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                            >>> probability_map  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                            array([[0, 0, 1, 1, 5, 2, 1, 1, 0],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                                   [2, 2, 2, 2, 2, 2, 2, 2, 2]])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                            >>> histogram = np.zeros_like(probability_map)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                            >>> for _ in range(100000):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                            ...     histogram[WeightedSampler.sample_probability_map(probability_map, cdf)] += 1  # doctest:+SKIP  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                            ...  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                            >>> histogram  # doctest:+SKIP  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                            array([[    0,     0,  3479,  3478, 17121,  7023,  3355,  3378,     0],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                                   [ 6808,  6804,  6942,  6809,  6946,  6988,  7002,  6826,  7041]])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                        """  # noqa: E501  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                        # Get first value larger than random number ensuring the random number  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                        # is not exactly 0 (see https://github.com/fepegar/torchio/issues/510)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                        random_number = max(MIN_FLOAT_32, torch.rand(1).item())  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                        # Accumulated floating point errors might make cdf.max() less than 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                        if random_number > cdf.max():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                            random_location_index = -1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                        else:  # proceed as usual  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                            random_location_index = np.searchsorted(cdf, random_number)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                        center = np.unravel_index(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                            random_location_index,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                            probability_map.shape  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                        )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                        probability = probability_map[center]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                        if probability <= 0:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                            message = (  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                                'Error retrieving probability in weighted sampler.'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                                ' Please report this issue at'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                                ' https://github.com/fepegar/torchio/issues/new?labels=bug&template=bug_report.md'  # noqa: E501  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                            raise RuntimeError(message)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                        return np.array(center)  | 
            
            
                                                        
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                 |