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- """ Interpolation helpers for timm layers
- RegularGridInterpolator from https://github.com/sbarratt/torch_interpolations
- Copyright Shane Barratt, Apache 2.0 license
- """
- import torch
- from itertools import product
- class RegularGridInterpolator:
- """ Interpolate data defined on a rectilinear grid with even or uneven spacing.
- Produces similar results to scipy RegularGridInterpolator or interp2d
- in 'linear' mode.
- Taken from https://github.com/sbarratt/torch_interpolations
- """
- def __init__(self, points, values):
- self.points = points
- self.values = values
- assert isinstance(self.points, tuple) or isinstance(self.points, list)
- assert isinstance(self.values, torch.Tensor)
- self.ms = list(self.values.shape)
- self.n = len(self.points)
- assert len(self.ms) == self.n
- for i, p in enumerate(self.points):
- assert isinstance(p, torch.Tensor)
- assert p.shape[0] == self.values.shape[i]
- def __call__(self, points_to_interp):
- assert self.points is not None
- assert self.values is not None
- assert len(points_to_interp) == len(self.points)
- K = points_to_interp[0].shape[0]
- for x in points_to_interp:
- assert x.shape[0] == K
- idxs = []
- dists = []
- overalls = []
- for p, x in zip(self.points, points_to_interp):
- idx_right = torch.bucketize(x, p)
- idx_right[idx_right >= p.shape[0]] = p.shape[0] - 1
- idx_left = (idx_right - 1).clamp(0, p.shape[0] - 1)
- dist_left = x - p[idx_left]
- dist_right = p[idx_right] - x
- dist_left[dist_left < 0] = 0.
- dist_right[dist_right < 0] = 0.
- both_zero = (dist_left == 0) & (dist_right == 0)
- dist_left[both_zero] = dist_right[both_zero] = 1.
- idxs.append((idx_left, idx_right))
- dists.append((dist_left, dist_right))
- overalls.append(dist_left + dist_right)
- numerator = 0.
- for indexer in product([0, 1], repeat=self.n):
- as_s = [idx[onoff] for onoff, idx in zip(indexer, idxs)]
- bs_s = [dist[1 - onoff] for onoff, dist in zip(indexer, dists)]
- numerator += self.values[as_s] * \
- torch.prod(torch.stack(bs_s), dim=0)
- denominator = torch.prod(torch.stack(overalls), dim=0)
- return numerator / denominator
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