File size: 18,981 Bytes
1e1d266 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 |
from typing import Optional, Tuple, Union
import torch
from einops import rearrange, repeat
import torch.nn.functional as F
import triton
import triton.language as tl
# @triton.autotune(
# configs=[
# triton.Config({"BLOCK_M": 2}),
# triton.Config({"BLOCK_M": 4}),
# triton.Config({"BLOCK_M": 8}),
# triton.Config({"BLOCK_M": 16}),
# ],
# key=["CACHE_KEY_SEQLEN", "BLOCK_K", "INTERLEAVED"],
# )
@triton.jit
def rotary_kernel(
OUT, # Pointers to matrices
X,
COS,
SIN,
CU_SEQLENS,
SEQLEN_OFFSETS, # this could be int or a pointer
# Matrix dimensions
seqlen,
nheads,
rotary_dim,
seqlen_ro,
CACHE_KEY_SEQLEN,
# strides
stride_out_batch,
stride_out_nheads,
stride_out_seqlen,
stride_out_headdim,
stride_x_batch,
stride_x_nheads,
stride_x_seqlen,
stride_x_headdim,
# Meta-parameters
BLOCK_K: tl.constexpr,
IS_SEQLEN_OFFSETS_TENSOR: tl.constexpr,
IS_VARLEN: tl.constexpr,
INTERLEAVED: tl.constexpr,
CONJUGATE: tl.constexpr,
BLOCK_M: tl.constexpr,
):
pid_m = tl.program_id(axis=0)
pid_batch = tl.program_id(axis=1)
pid_head = tl.program_id(axis=2)
rotary_dim_half = rotary_dim // 2
if not IS_VARLEN:
X = X + pid_batch * stride_x_batch + pid_head * stride_x_nheads
OUT = OUT + pid_batch * stride_out_batch + pid_head * stride_out_nheads
COS = COS + pid_batch * seqlen_ro * rotary_dim_half
SIN = SIN + pid_batch * seqlen_ro * rotary_dim_half
else:
start_idx = tl.load(CU_SEQLENS + pid_batch)
seqlen = tl.load(CU_SEQLENS + pid_batch + 1) - start_idx
X = X + start_idx * stride_x_seqlen + pid_head * stride_x_nheads
OUT = OUT + start_idx * stride_out_seqlen + pid_head * stride_out_nheads
if pid_m * BLOCK_M >= seqlen:
return
rm = pid_m * BLOCK_M + tl.arange(0, BLOCK_M)
if not IS_SEQLEN_OFFSETS_TENSOR:
rm_cs = rm + SEQLEN_OFFSETS
else:
rm_cs = rm + tl.load(SEQLEN_OFFSETS + pid_batch)
rk = tl.arange(0, BLOCK_K)
rk_half = tl.arange(0, BLOCK_K // 2)
if not INTERLEAVED:
# Load the 1st and 2nd halves of X, do calculation, then store to 1st and 2nd halves of OUT
X = X + (rm[:, None] * stride_x_seqlen + rk_half[None, :] * stride_x_headdim)
COS = COS + (rm_cs[:, None] * rotary_dim_half + rk_half[None, :])
SIN = SIN + (rm_cs[:, None] * rotary_dim_half + rk_half[None, :])
cos = tl.load(
COS, mask=(rm_cs[:, None] < seqlen_ro) & (rk_half[None, :] < rotary_dim_half), other=1.0
)
sin = tl.load(
SIN, mask=(rm_cs[:, None] < seqlen_ro) & (rk_half[None, :] < rotary_dim_half), other=0.0
)
x0 = tl.load(
X, mask=(rm[:, None] < seqlen) & (rk_half[None, :] < rotary_dim_half), other=0.0
)
x1 = tl.load(
X + rotary_dim_half * stride_x_headdim,
mask=(rm[:, None] < seqlen) & (rk_half[None, :] < rotary_dim_half),
other=0.0,
)
if CONJUGATE:
sin = -sin
o0 = x0 * cos - x1 * sin
o1 = x0 * sin + x1 * cos
# write back result
OUT = OUT + (rm[:, None] * stride_out_seqlen + rk_half[None, :] * stride_out_headdim)
tl.store(OUT, o0, mask=(rm[:, None] < seqlen) & (rk_half[None, :] < rotary_dim_half))
tl.store(
OUT + rotary_dim_half * stride_out_headdim,
o1,
mask=(rm[:, None] < seqlen) & (rk_half[None, :] < rotary_dim_half),
)
else:
# We don't want to load X[0, 2, 4, ...] and X[1, 3, 5, ...] separately since both are slow.
# Instead, we load x0 = X[0, 1, 2, 3, ...] and x1 = X[1, 0, 3, 2, ...].
# Loading x0 will be fast but x1 will be slow.
# Then we load cos = COS[0, 0, 1, 1, ...] and sin = SIN[0, 0, 1, 1, ...].
# Then we do the calculation and use tl.where to pick put the right outputs for the even
# and for the odd indices.
rk_swap = rk + ((rk + 1) % 2) * 2 - 1 # 1, 0, 3, 2, 5, 4, ...
rk_repeat = tl.arange(0, BLOCK_K) // 2
X0 = X + (rm[:, None] * stride_x_seqlen + rk[None, :] * stride_x_headdim)
X1 = X + (rm[:, None] * stride_x_seqlen + rk_swap[None, :] * stride_x_headdim)
COS = COS + (rm_cs[:, None] * rotary_dim_half + rk_repeat[None, :])
SIN = SIN + (rm_cs[:, None] * rotary_dim_half + rk_repeat[None, :])
cos = tl.load(
COS,
mask=(rm_cs[:, None] < seqlen_ro) & (rk_repeat[None, :] < rotary_dim_half),
other=1.0,
).to(tl.float32)
sin = tl.load(
SIN,
mask=(rm_cs[:, None] < seqlen_ro) & (rk_repeat[None, :] < rotary_dim_half),
other=0.0,
).to(tl.float32)
x0 = tl.load(X0, mask=(rm[:, None] < seqlen) & (rk[None, :] < rotary_dim), other=0.0).to(
tl.float32
)
x1 = tl.load(
X1, mask=(rm[:, None] < seqlen) & (rk_swap[None, :] < rotary_dim), other=0.0
).to(tl.float32)
if CONJUGATE:
sin = -sin
x0_cos = x0 * cos
x1_sin = x1 * sin
out = tl.where(rk[None, :] % 2 == 0, x0_cos - x1_sin, x0_cos + x1_sin)
OUT = OUT + (rm[:, None] * stride_out_seqlen + rk[None, :] * stride_out_headdim)
tl.store(OUT, out, mask=(rm[:, None] < seqlen) & (rk[None, :] < rotary_dim))
def apply_rotary(
x: torch.Tensor,
cos: torch.Tensor,
sin: torch.Tensor,
seqlen_offsets: Union[int, torch.Tensor] = 0,
cu_seqlens: Optional[torch.Tensor] = None,
max_seqlen: Optional[int] = None,
interleaved=False,
inplace=False,
conjugate=False,
) -> torch.Tensor:
"""
Arguments:
x: (batch, seqlen, nheads, headdim) if cu_seqlens is None
else (total_seqlen, nheads, headdim).
cos: (seqlen_ro, rotary_dim / 2)
sin: (seqlen_ro, rotary_dim / 2)
seqlen_offsets: integer or integer tensor of size (batch,)
cu_seqlens: (batch + 1,) or None
max_seqlen: int
Returns:
y: (batch, seqlen, nheads, headdim)
"""
batch, nheads, seqlen, headdim = x.shape
batch_ro, seqlen_ro, rotary_dim = cos.shape
assert batch == batch_ro
assert sin.shape == cos.shape
rotary_dim *= 2
assert rotary_dim <= headdim, "rotary_dim must be <= headdim"
assert headdim <= 256, "Only support headdim <= 256"
assert seqlen_ro >= seqlen, "seqlen_ro must be >= seqlen"
assert (
cos.dtype == sin.dtype
), f"cos and sin must have the same dtype, got {cos.dtype} and {sin.dtype}"
assert (
x.dtype == cos.dtype
), f"Input and cos/sin must have the same dtype, got {x.dtype} and {cos.dtype}"
cos, sin = cos.contiguous(), sin.contiguous()
if isinstance(seqlen_offsets, torch.Tensor):
assert seqlen_offsets.shape == (batch,)
assert seqlen_offsets.dtype in [torch.int32, torch.int64]
seqlen_offsets = seqlen_offsets.contiguous()
else:
assert seqlen_offsets + seqlen <= seqlen_ro
output = torch.empty_like(x) if not inplace else x
if rotary_dim < headdim and not inplace:
output[..., rotary_dim:].copy_(x[..., rotary_dim:])
BLOCK_K = (
32
if rotary_dim <= 32
else (64 if rotary_dim <= 64 else (128 if rotary_dim <= 128 else 256))
)
grid = lambda META: (triton.cdiv(seqlen, META["BLOCK_M"]), batch, nheads) # noqa
BLOCK_M = 4 if interleaved else (8 if rotary_dim <= 64 else 4)
# Need this, otherwise Triton tries to launch from cuda:0 and we get
# ValueError: Pointer argument (at 0) cannot be accessed from Triton (cpu tensor?)
with torch.cuda.device(x.device.index):
rotary_kernel[grid](
output, # data ptrs
x,
cos,
sin,
cu_seqlens,
seqlen_offsets,
seqlen, # shapes
nheads,
rotary_dim,
seqlen_ro,
seqlen // 128, # key for triton cache (limit number of compilations)
output.stride(0), # batch_strides
output.stride(-3), # nheads_stride
output.stride(-2), # seqlen_stride
output.stride(-1), # headdim_stride
x.stride(0), # batch_strides
x.stride(-3), # nheads stride
x.stride(-2), # seqlen stride
x.stride(-1), # headdim stride
BLOCK_K,
isinstance(seqlen_offsets, torch.Tensor),
False,
interleaved,
conjugate,
BLOCK_M,
)
return output
class ApplyRotaryEmb(torch.autograd.Function):
@staticmethod
def forward(
ctx,
x,
cos,
sin,
interleaved=False,
inplace=False,
seqlen_offsets: Union[int, torch.Tensor] = 0,
cu_seqlens: Optional[torch.Tensor] = None,
max_seqlen: Optional[int] = None,
):
out = apply_rotary(
x,
cos,
sin,
seqlen_offsets=seqlen_offsets,
cu_seqlens=cu_seqlens,
max_seqlen=max_seqlen,
interleaved=interleaved,
inplace=inplace,
)
if isinstance(seqlen_offsets, int):
ctx.save_for_backward(cos, sin, cu_seqlens) # Can't save int with save_for_backward
ctx.seqlen_offsets = seqlen_offsets
else:
ctx.save_for_backward(cos, sin, cu_seqlens, seqlen_offsets)
ctx.seqlen_offsets = None
ctx.interleaved = interleaved
ctx.inplace = inplace
ctx.max_seqlen = max_seqlen
return out if not inplace else x
@staticmethod
def backward(ctx, do):
seqlen_offsets = ctx.seqlen_offsets
if seqlen_offsets is None:
cos, sin, cu_seqlens, seqlen_offsets = ctx.saved_tensors
else:
cos, sin, cu_seqlens = ctx.saved_tensors
# TD [2023-09-02]: For some reason Triton (2.0.0.post1) errors with
# "[CUDA]: invalid device context", and cloning makes it work. Idk why. Triton 2.1.0 works.
if not ctx.interleaved and not ctx.inplace:
do = do.clone()
dx = apply_rotary(
do,
cos,
sin,
seqlen_offsets=seqlen_offsets,
cu_seqlens=cu_seqlens,
max_seqlen=ctx.max_seqlen,
interleaved=ctx.interleaved,
inplace=ctx.inplace,
conjugate=True,
)
return dx, None, None, None, None, None, None, None
def apply_rotary_emb(
x,
cos,
sin,
interleaved=False,
inplace=False,
seqlen_offsets: Union[int, torch.Tensor] = 0,
cu_seqlens: Optional[torch.Tensor] = None,
max_seqlen: Optional[int] = None,
):
"""
Arguments:
x: (batch_size, seqlen, nheads, headdim) if cu_seqlens is None
else (total_seqlen, nheads, headdim)
cos, sin: (seqlen_rotary, rotary_dim / 2)
interleaved: if True, rotate pairs of even and odd dimensions (GPT-J style) instead
of 1st half and 2nd half (GPT-NeoX style).
inplace: if True, apply rotary embedding in-place.
seqlen_offsets: (batch_size,) or int. Each sequence in x is shifted by this amount.
Most commonly used in inference when we have KV cache.
cu_seqlens: (batch + 1,) or None
max_seqlen: int
Return:
out: (batch_size, seqlen, nheads, headdim) if cu_seqlens is None
else (total_seqlen, nheads, headdim)
rotary_dim must be <= headdim
Apply rotary embedding to the first rotary_dim of x.
"""
return ApplyRotaryEmb.apply(
x, cos, sin, interleaved, inplace, seqlen_offsets, cu_seqlens, max_seqlen
)
# For backward compatibility
apply_rotary_emb_func = apply_rotary_emb
class FastRotaryEmbedding(torch.nn.Module):
"""
The rotary position embeddings from RoFormer_ (Su et. al).
A crucial insight from the method is that the query and keys are
transformed by rotation matrices which depend on the relative positions.
Other implementations are available in the Rotary Transformer repo_ and in
GPT-NeoX_, GPT-NeoX was an inspiration
.. _RoFormer: https://arxiv.org/abs/2104.09864
.. _repo: https://github.com/ZhuiyiTechnology/roformer
.. _GPT-NeoX: https://github.com/EleutherAI/gpt-neox
If scale_base is not None, this implements XPos (Sun et al., https://arxiv.org/abs/2212.10554).
A recommended value for scale_base is 512: https://github.com/HazyResearch/flash-attention/issues/96
Reference: https://github.com/sunyt32/torchscale/blob/main/torchscale/component/xpos_relative_position.py
"""
def __init__(
self,
dim: int,
base=10000,
interleaved=False,
scale_base=None,
pos_idx_in_fp32=True,
device=None,
):
"""
interleaved: if True, rotate pairs of even and odd dimensions (GPT-J style) instead
of 1st half and 2nd half (GPT-NeoX style).
pos_idx_in_fp32: if True, the position indices [0.0, ..., seqlen - 1] are in fp32,
otherwise they might be in lower precision.
This option was added because previously (before 2023-07-02), when we construct
the position indices, we use the dtype of self.inv_freq. In most cases this would
be fp32, but if the model is trained in pure bf16 (not mixed precision), then
self.inv_freq would be bf16, and the position indices are also in bf16.
Because of the limited precision of bf16 (e.g. 1995.0 is rounded to 2000.0), the
embeddings for some positions will coincide.
To maintain compatibility with models previously trained in pure bf16,
we add this option.
"""
super().__init__()
self.dim = dim
self.base = base
self.pos_idx_in_fp32 = pos_idx_in_fp32
# Generate and save the inverse frequency buffer (non trainable)
inv_freq = self._compute_inv_freq(device)
self.register_buffer("inv_freq", inv_freq)
self.interleaved = interleaved
self.scale_base = scale_base
scale = (
(torch.arange(0, dim, 2, device=device, dtype=torch.float32) + 0.4 * dim) / (1.4 * dim)
if scale_base is not None
else None
)
self.register_buffer("scale", scale, persistent=False)
self._seq_len_cached = 0
self._cos_cached = None
self._sin_cached = None
self._cos_k_cached = None
self._sin_k_cached = None
self.cos = None
self.sin = None
def _compute_inv_freq(self, device=None):
return 1.0 / (
self.base
** (torch.arange(0, self.dim, 2, device=device) / self.dim)
# ** (torch.arange(0, self.dim, 2, device=device).float() / self.dim)
)
def _update_cos_sin_cache(self, seqlen, position_id, device=None, dtype=None):
if (
seqlen > self._seq_len_cached
):
self._seq_len_cached = seqlen
# We want fp32 here, not self.inv_freq.dtype, since the model could be loaded in bf16
# And the output of arange can be quite large, so bf16 would lose a lot of precision.
# However, for compatibility reason, we add an option to use the dtype of self.inv_freq.
if self.pos_idx_in_fp32:
t = torch.arange(seqlen, device=device, dtype=torch.float32)
# We want fp32 here as well since inv_freq will be multiplied with t, and the output
# will be large. Having it in bf16 will lose a lot of precision and cause the
# cos & sin output to change significantly.
# We want to recompute self.inv_freq if it was not loaded in fp32
if self.inv_freq.dtype != torch.float32:
inv_freq = self._compute_inv_freq(device=device)
else:
inv_freq = self.inv_freq
else:
t = torch.arange(seqlen, device=device, dtype=self.inv_freq.dtype)
inv_freq = self.inv_freq
freqs = torch.einsum("i,j->ij", t, inv_freq)
if self.scale is None:
self._cos_cached = torch.cos(freqs).to(dtype)
self._sin_cached = torch.sin(freqs).to(dtype)
else:
power = (
torch.arange(seqlen, dtype=self.scale.dtype, device=self.scale.device)
- seqlen // 2
) / self.scale_base
scale = self.scale.to(device=power.device) ** rearrange(power, "s -> s 1")
# We want the multiplication by scale to happen in fp32
self._cos_cached = (torch.cos(freqs) * scale).to(dtype)
self._sin_cached = (torch.sin(freqs) * scale).to(dtype)
self._cos_k_cached = (torch.cos(freqs) / scale).to(dtype)
self._sin_k_cached = (torch.sin(freqs) / scale).to(dtype)
def forward(
self,
q: torch.Tensor,
k: torch.Tensor,
position_ids: torch.Tensor,
max_seqlen,
) -> Tuple[torch.Tensor, torch.Tensor]:
"""
q: (batch, nheads, seqlen, headdim)
k: (batch, nheads, seqlen, headdim)
position_id: (batch, seqlen)
max_seqlen: int
layer_id: int
only if layer_id == 0, then update cons and sin
Apply rotary embedding *inplace* to q k.
"""
self._update_cos_sin_cache(max_seqlen, position_ids, device=q.device, dtype=q.dtype)
cos, sin = F.embedding(position_ids, self._cos_cached), F.embedding(position_ids, self._sin_cached)
q = apply_rotary_emb_func(
q,
cos,
sin,
interleaved=self.interleaved,
inplace=True
)
k = apply_rotary_emb_func(
k,
cos,
sin,
interleaved=self.interleaved,
inplace=True
)
return q, k
|