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from math import pi
import torch
from torch import nn
from einops import rearrange, repeat
import logging
import torch.nn.functional as F
def broadcat(tensors, dim = -1):
num_tensors = len(tensors)
shape_lens = set(list(map(lambda t: len(t.shape), tensors)))
assert len(shape_lens) == 1, 'tensors must all have the same number of dimensions'
shape_len = list(shape_lens)[0]
dim = (dim + shape_len) if dim < 0 else dim
dims = list(zip(*map(lambda t: list(t.shape), tensors)))
expandable_dims = [(i, val) for i, val in enumerate(dims) if i != dim]
assert all([*map(lambda t: len(set(t[1])) <= 2, expandable_dims)]), 'invalid dimensions for broadcastable concatentation'
max_dims = list(map(lambda t: (t[0], max(t[1])), expandable_dims))
expanded_dims = list(map(lambda t: (t[0], (t[1],) * num_tensors), max_dims))
expanded_dims.insert(dim, (dim, dims[dim]))
expandable_shapes = list(zip(*map(lambda t: t[1], expanded_dims)))
tensors = list(map(lambda t: t[0].expand(*t[1]), zip(tensors, expandable_shapes)))
return torch.cat(tensors, dim = dim)
def rotate_half(x):
x = rearrange(x, '... (d r) -> ... d r', r = 2)
x1, x2 = x.unbind(dim = -1)
x = torch.stack((-x2, x1), dim = -1)
return rearrange(x, '... d r -> ... (d r)')
class VisionRotaryEmbedding(nn.Module):
def __init__(
self,
dim,
pt_seq_len,
ft_seq_len=None,
custom_freqs = None,
freqs_for = 'lang',
theta = 10000,
max_freq = 10,
num_freqs = 1,
):
super().__init__()
self.ft_seq_len = ft_seq_len
if custom_freqs:
freqs = custom_freqs
elif freqs_for == 'lang':
freqs = 1. / (theta ** (torch.arange(0, dim, 2)[:(dim // 2)].float() / dim))
elif freqs_for == 'pixel':
freqs = torch.linspace(1., max_freq / 2, dim // 2) * pi
elif freqs_for == 'constant':
freqs = torch.ones(num_freqs).float()
else:
raise ValueError(f'unknown modality {freqs_for}')
if ft_seq_len is None: ft_seq_len = pt_seq_len
t = torch.arange(ft_seq_len) / ft_seq_len * pt_seq_len
freqs_h = torch.einsum('..., f -> ... f', t, freqs)
freqs_h = repeat(freqs_h, '... n -> ... (n r)', r = 2)
freqs_w = torch.einsum('..., f -> ... f', t, freqs)
freqs_w = repeat(freqs_w, '... n -> ... (n r)', r = 2)
freqs = broadcat((freqs_h[:, None, :], freqs_w[None, :, :]), dim = -1)
self.register_buffer("freqs_cos", freqs.cos())
self.register_buffer("freqs_sin", freqs.sin())
logging.info(f'Shape of rope freq: {self.freqs_cos.shape}')
def interpolate_freq(self, t_len, freq):
if t_len == self.ft_seq_len ** 2:
return freq
tar_size = int(t_len ** 0.5)
freq = freq.view(1, self.ft_seq_len, self.ft_seq_len, freq.shape[-1]).permute(0, 3, 1, 2)
freq = F.interpolate(freq, (tar_size, tar_size), mode='bicubic',
align_corners=False).view(-1, t_len).T
return freq
def forward(self, t, start_index = 0):
rot_dim = self.freqs_cos.shape[-1]
end_index = start_index + rot_dim
assert rot_dim <= t.shape[-1], f'feature dimension {t.shape[-1]} is not of sufficient size to rotate in all the positions {rot_dim}'
t_left, t, t_right = t[..., :start_index], t[..., start_index:end_index], t[..., end_index:]
# t = (t * self.freqs_cos) + (rotate_half(t) * self.freqs_sin)
t = (t * self.interpolate_freq(t.shape[2], self.freqs_cos)) \
+ (rotate_half(t) * self.interpolate_freq(t.shape[2], self.freqs_sin))
return torch.cat((t_left, t, t_right), dim = -1)
class VisionRotaryEmbeddingFast(nn.Module):
def __init__(
self,
dim,
pt_seq_len,
ft_seq_len=None,
custom_freqs = None,
freqs_for = 'lang',
theta = 10000,
max_freq = 10,
num_freqs = 1,
patch_dropout = 0.
):
super().__init__()
self.custom_freqs = custom_freqs
self.pt_seq_len = pt_seq_len
self.ft_seq_len = ft_seq_len
self.freqs_for = freqs_for
self.dim = dim
self.theta = theta
self.max_freq = max_freq
self.num_freqs = num_freqs
if custom_freqs:
freqs = custom_freqs
elif freqs_for == 'lang':
freqs = 1. / (theta ** (torch.arange(0, dim, 2)[:(dim // 2)].float() / dim))
elif freqs_for == 'pixel':
freqs = torch.linspace(1., max_freq / 2, dim // 2) * pi
elif freqs_for == 'constant':
freqs = torch.ones(num_freqs).float()
else:
raise ValueError(f'unknown modality {freqs_for}')
if ft_seq_len is None: ft_seq_len = pt_seq_len
t = torch.arange(ft_seq_len) / ft_seq_len * pt_seq_len
freqs = torch.einsum('..., f -> ... f', t, freqs)
freqs = repeat(freqs, '... n -> ... (n r)', r = 2)
freqs = broadcat((freqs[:, None, :], freqs[None, :, :]), dim = -1)
freqs_cos = freqs.cos().view(-1, freqs.shape[-1])
freqs_sin = freqs.sin().view(-1, freqs.shape[-1])
self.patch_dropout = patch_dropout
self.register_buffer("freqs_cos", freqs_cos)
self.register_buffer("freqs_sin", freqs_sin)
logging.info(f'Shape of rope freq: {self.freqs_cos.shape}')
self.register_buffer("flag", torch.tensor(0, dtype=torch.long),
persistent=False)
def forward(self, t, patch_indices_keep=None):
if patch_indices_keep is not None:
batch = t.size()[0]
batch_indices = torch.arange(batch)
batch_indices = batch_indices[..., None]
freqs_cos = repeat(self.freqs_cos, 'i j -> n i m j', n=t.shape[0], m=t.shape[1])
freqs_sin = repeat(self.freqs_sin, 'i j -> n i m j', n=t.shape[0], m=t.shape[1])
freqs_cos = freqs_cos[batch_indices, patch_indices_keep]
freqs_cos = rearrange(freqs_cos, 'n i m j -> n m i j')
freqs_sin = freqs_sin[batch_indices, patch_indices_keep]
freqs_sin = rearrange(freqs_sin, 'n i m j -> n m i j')
return t * freqs_cos + rotate_half(t) * freqs_sin
freqs_cos, freqs_sin = self.recalculate(t)
return t * freqs_cos + rotate_half(t) * freqs_sin
# return t * self.freqs_cos + rotate_half(t) * self.freqs_sin
# return t * self.interpolate_freq(t.shape[2], self.freqs_cos) \
# + rotate_half(t) * self.interpolate_freq(t.shape[2], self.freqs_sin)
def interpolate_freq(self, t_len, freq):
if t_len == self.ft_seq_len ** 2:
return freq
tar_size = int(t_len ** 0.5)
freq = freq.view(1, self.ft_seq_len, self.ft_seq_len, freq.shape[-1]).permute(0, 3, 1, 2)
freq = F.interpolate(freq, (tar_size, tar_size), mode='bicubic',
align_corners=False).view(-1, t_len).T
return freq
def recalculate(self, x):
# TODO: fix it, do not calculate it every time
x_len = x.shape[2]
if x_len == self.ft_seq_len ** 2:
return self.freqs_cos, self.freqs_sin
elif hasattr(self, f"freqs_cos_{x_len}"):
return getattr(self, f"freqs_cos_{x_len}"), getattr(self, f"freqs_sin_{x_len}")
assert self.flag <= 4
ft_seq_len = int(x_len ** 0.5)
if self.custom_freqs:
freqs = self.custom_freqs
elif self.freqs_for == 'lang':
freqs = 1. / (self.theta ** (torch.arange(0, self.dim, 2)[:(self.dim // 2)].float() / self.dim))
elif self.freqs_for == 'pixel':
freqs = torch.linspace(1., self.max_freq / 2, self.dim // 2) * pi
elif self.freqs_for == 'constant':
freqs = torch.ones(self.num_freqs).float()
else:
raise ValueError(f'unknown modality {self.freqs_for}')
t = torch.arange(ft_seq_len) / ft_seq_len * self.pt_seq_len
freqs = torch.einsum('..., f -> ... f', t, freqs)
freqs = repeat(freqs, '... n -> ... (n r)', r = 2)
freqs = broadcat((freqs[:, None, :], freqs[None, :, :]), dim = -1)
freqs_cos = freqs.cos().view(-1, freqs.shape[-1]).to(x)
freqs_sin = freqs.sin().view(-1, freqs.shape[-1]).to(x)
# TODO this is just a workaround
self.register_buffer(f"freqs_cos_{x_len}", freqs_cos, persistent=False)
self.register_buffer(f"freqs_sin_{x_len}", freqs_sin, persistent=False)
self.flag.data += 1
logging.info(f'Add a new rope freq of shape: {freqs_cos.shape}')
print(f'Add a new rope freq of shape: {freqs_cos.shape}', flush=True)
return freqs_cos, freqs_sin