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| import math |
| from typing import Literal |
|
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| import numpy as np |
| import torch |
| from torch import Tensor, nn |
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| |
| class RopePositionEmbedding(nn.Module): |
| def __init__( |
| self, |
| embed_dim: int, |
| *, |
| num_heads: int, |
| base: float | None = 100.0, |
| min_period: float | None = None, |
| max_period: float | None = None, |
| normalize_coords: Literal["min", "max", "separate"] = "separate", |
| shift_coords: float | None = None, |
| jitter_coords: float | None = None, |
| rescale_coords: float | None = None, |
| dtype: torch.dtype | None = None, |
| device: torch.device | None = None, |
| ): |
| super().__init__() |
| assert embed_dim % (4 * num_heads) == 0 |
| both_periods = min_period is not None and max_period is not None |
| if (base is None and not both_periods) or (base is not None and both_periods): |
| raise ValueError("Either `base` or `min_period`+`max_period` must be provided.") |
|
|
| D_head = embed_dim // num_heads |
| self.base = base |
| self.min_period = min_period |
| self.max_period = max_period |
| self.D_head = D_head |
| self.normalize_coords = normalize_coords |
| self.shift_coords = shift_coords |
| self.jitter_coords = jitter_coords |
| self.rescale_coords = rescale_coords |
|
|
| |
| self.dtype = dtype |
| self.register_buffer( |
| "periods", |
| torch.empty(D_head // 4, device=device, dtype=dtype), |
| persistent=True, |
| ) |
| self._init_weights() |
|
|
| def forward(self, *, H: int, W: int) -> tuple[Tensor, Tensor]: |
| device = self.periods.device |
| dtype = self.dtype |
| dd = {"device": device, "dtype": dtype} |
|
|
| |
| if self.normalize_coords == "max": |
| max_HW = max(H, W) |
| coords_h = torch.arange(0.5, H, **dd) / max_HW |
| coords_w = torch.arange(0.5, W, **dd) / max_HW |
| elif self.normalize_coords == "min": |
| min_HW = min(H, W) |
| coords_h = torch.arange(0.5, H, **dd) / min_HW |
| coords_w = torch.arange(0.5, W, **dd) / min_HW |
| elif self.normalize_coords == "separate": |
| coords_h = torch.arange(0.5, H, **dd) / H |
| coords_w = torch.arange(0.5, W, **dd) / W |
| else: |
| raise ValueError(f"Unknown normalize_coords: {self.normalize_coords}") |
| coords = torch.stack(torch.meshgrid(coords_h, coords_w, indexing="ij"), dim=-1) |
| coords = coords.flatten(0, 1) |
| coords = 2.0 * coords - 1.0 |
|
|
| |
| if self.training and self.shift_coords is not None: |
| shift_hw = torch.empty(2, **dd).uniform_(-self.shift_coords, self.shift_coords) |
| coords += shift_hw[None, :] |
|
|
| |
| if self.training and self.jitter_coords is not None: |
| jitter_max = np.log(self.jitter_coords) |
| jitter_min = -jitter_max |
| jitter_hw = torch.empty(2, **dd).uniform_(jitter_min, jitter_max).exp() |
| coords *= jitter_hw[None, :] |
|
|
| |
| if self.training and self.rescale_coords is not None: |
| rescale_max = np.log(self.rescale_coords) |
| rescale_min = -rescale_max |
| rescale_hw = torch.empty(1, **dd).uniform_(rescale_min, rescale_max).exp() |
| coords *= rescale_hw |
|
|
| |
| angles = 2 * math.pi * coords[:, :, None] / self.periods[None, None, :] |
| angles = angles.flatten(1, 2) |
| angles = angles.tile(2) |
| cos = torch.cos(angles) |
| sin = torch.sin(angles) |
|
|
| return (sin, cos) |
|
|
| def _init_weights(self): |
| device = self.periods.device |
| dtype = self.dtype |
| if self.base is not None: |
| periods = self.base ** ( |
| 2 * torch.arange(self.D_head // 4, device=device, dtype=dtype) / (self.D_head // 2) |
| ) |
| else: |
| base = self.max_period / self.min_period |
| exponents = torch.linspace(0, 1, self.D_head // 4, device=device, dtype=dtype) |
| periods = base**exponents |
| periods = periods / base |
| periods = periods * self.max_period |
| self.periods.data = periods |
|
|