| from dataclasses import dataclass, replace |
| from typing import Optional, Union |
|
|
| import torch |
| from tilelang import language as T |
| from tilelang.contrib import nvcc |
| from tilelang.utils.target import determine_target |
|
|
| from tile_kernels.quant.types import QuantTensor |
| from tile_kernels.utils import align, ceil_div |
|
|
|
|
| def get_best_vectorize_size(dtype: T.dtype) -> int: |
| target = determine_target(return_object=True) |
| ver = nvcc.get_target_compute_version(target) |
| major, _ = nvcc.parse_compute_version(ver) |
| return (16 if major < 10 else 32) // dtype.bytes |
|
|
|
|
| @dataclass(frozen=True) |
| class BaseCastConfig: |
| torch_dtype: torch.dtype = torch.float8_e4m3fn |
| sf_block: tuple[int, int] = (1, 1) |
| use_tma_aligned_col_major_sf: bool = False |
| use_packed_ue8m0: bool = False |
|
|
| @property |
| def dtype(self) -> T.dtype: |
| return T.dtype(self.torch_dtype) if self.torch_dtype != torch.int8 else T.float4_e2m1fn |
|
|
| @property |
| def sf_torch_dtype(self) -> torch.dtype: |
| return torch.uint8 if self.use_packed_ue8m0 else torch.float32 |
|
|
| @property |
| def sf_dtype(self) -> T.dtype: |
| return T.dtype(self.sf_torch_dtype) |
|
|
|
|
| @dataclass(frozen=True) |
| class CastInputConfig(BaseCastConfig): |
| with_sf: bool = True |
|
|
|
|
| @dataclass(frozen=True) |
| class CastOutputConfig(BaseCastConfig): |
| round_sf: bool = False |
| custom_clamp_min_value: Optional[float] = None |
|
|
| @property |
| def clamp_min_value(self) -> float: |
| if self.custom_clamp_min_value is not None: |
| return self.custom_clamp_min_value |
| elif self.dtype == T.float8_e4m3fn: |
| return 1e-4 |
| elif self.dtype == T.float4_e2m1fn: |
| return T.max_value(self.dtype) * (2**-126) |
| else: |
| raise ValueError(f'Unsupported dtype {self.dtype}') |
|
|
|
|
| def get_cast_input_and_config( |
| x: Union[torch.Tensor, QuantTensor], |
| sf_block: Optional[tuple[int, int]], |
| ) -> tuple[torch.Tensor, torch.Tensor, CastInputConfig]: |
| if isinstance(x, tuple): |
| assert isinstance(sf_block, tuple) |
| x, x_sf = x |
| config = CastInputConfig(torch_dtype=x.dtype, with_sf=True, sf_block=sf_block) |
| assert isinstance(x, torch.Tensor) and isinstance(x_sf, torch.Tensor) |
| assert x.dtype in (torch.float8_e4m3fn, torch.int8, torch.uint8) |
|
|
| if x_sf.stride(0) == 1: |
| config = replace(config, use_tma_aligned_col_major_sf=True) |
| x_sf = x_sf.T |
| if x_sf.dtype == torch.int32: |
| config = replace(config, use_packed_ue8m0=True) |
| x_sf = x_sf.view(torch.uint8) |
| else: |
| assert x_sf.stride(1) == 1 |
| assert x_sf.dtype == torch.float32 |
| return x, x_sf, config |
| else: |
| config = CastInputConfig(torch_dtype=x.dtype, with_sf=False) |
| assert sf_block is None |
| assert isinstance(x, torch.Tensor) |
| assert x.dtype in (torch.bfloat16, torch.float32) |
| return x, None, config |
|
|
|
|
| def get_cast_output_config( |
| fmt: str, |
| sf_block: tuple[int, int], |
| use_tma_aligned_col_major_sf: bool = False, |
| round_sf: bool = False, |
| use_packed_ue8m0: bool = False, |
| custom_clamp_min_value: Optional[float] = None, |
| ) -> CastOutputConfig: |
| assert fmt in ('e5m6', 'e4m3', 'e2m1') |
| mapping = { |
| 'e5m6': torch.uint32, |
| 'e4m3': torch.float8_e4m3fn, |
| 'e2m1': torch.int8, |
| } |
| config = CastOutputConfig( |
| torch_dtype=mapping[fmt], |
| sf_block=sf_block, |
| use_tma_aligned_col_major_sf=use_tma_aligned_col_major_sf, |
| round_sf=round_sf, |
| use_packed_ue8m0=use_packed_ue8m0, |
| custom_clamp_min_value=custom_clamp_min_value, |
| ) |
| return config |
|
|
|
|
| def get_logical_hidden(hidden: int, dtype: torch.dtype) -> int: |
| """ |
| Compute hidden size when `torch.int8` is used for packing FP4 |
| """ |
| return hidden if dtype != torch.int8 else hidden * 2 |
|
|
|
|
| def get_physical_hidden(hidden: int, dtype: torch.dtype) -> int: |
| """ |
| Compute hidden size when `torch.int8` is used for packing FP4 |
| """ |
| return hidden if dtype != torch.int8 else hidden // 2 |
|
|
|
|
| def get_sf_shape(shape: tuple[int, int], config: BaseCastConfig) -> tuple[int, int]: |
| num_block_m = ceil_div(shape[0], config.sf_block[0]) |
| num_block_k = ceil_div(shape[1], config.sf_block[1]) |
| |
| |
| if config.use_packed_ue8m0: |
| num_block_m = num_block_m * 4 |
| num_block_k = ceil_div(num_block_k, 4) |
| return (num_block_k, num_block_m) if config.use_tma_aligned_col_major_sf else (num_block_m, num_block_k) |
|
|
|
|
| def alloc_scaling_factors( |
| shape: tuple[int, int], |
| out_config: BaseCastConfig, |
| device: torch.device = 'cuda', |
| ) -> torch.Tensor: |
| """ |
| Allocate scaling factors for quantization. |
| """ |
| sf_shape = get_sf_shape(shape, out_config) |
|
|
| |
| aligned_sf_shape = sf_shape[1] |
| if out_config.use_tma_aligned_col_major_sf: |
| aligned_sf_shape = align(sf_shape[1], 16 if out_config.use_packed_ue8m0 else 4) |
|
|
| scaling_factor = torch.empty( |
| size=(sf_shape[0], aligned_sf_shape), |
| dtype=out_config.sf_torch_dtype, |
| device=device, |
| ) |
|
|
| if out_config.use_tma_aligned_col_major_sf: |
| scaling_factor = scaling_factor[:, : sf_shape[1]] |
|
|
| return scaling_factor |
|
|
|
|
| def cast_epilogue( |
| out_sf: torch.Tensor, |
| num_tokens: int, |
| hidden: int, |
| config: BaseCastConfig, |
| ) -> torch.Tensor: |
| """Post-process the sf-factor tensor after a cast kernel launch. |
| |
| Args: |
| out_sf: Raw sf-factor tensor produced by the kernel. |
| num_tokens: Number of tokens in the original input. |
| hidden: Hidden dimension size of the original input. |
| config: Cast configuration used during the kernel launch. |
| |
| Returns: |
| Corrected sf-factor tensor with proper layout and shape. |
| """ |
| |
| if config.use_packed_ue8m0: |
| if num_tokens == 0: |
| out_sf = torch.empty((out_sf.shape[0], out_sf.shape[1] // 4), dtype=torch.int32, device=out_sf.device) |
| else: |
| out_sf = out_sf.view(dtype=torch.int32) |
| out_sf = out_sf.T if config.use_tma_aligned_col_major_sf else out_sf |
| out_sf = out_sf[: ceil_div(num_tokens, config.sf_block[0]), :] |
| return out_sf |
|
|
|
|
| @T.macro |
| def get_sf_and_inv(amax: float, out_config: CastOutputConfig): |
| |
| clamped_amax = T.max(amax, out_config.clamp_min_value) |
|
|
| max_value = T.max_value(out_config.dtype) |
| sf = T.alloc_var(T.float32) |
| sf = clamped_amax / max_value |
| if not out_config.round_sf: |
| return sf, max_value / clamped_amax |
|
|
| |
| bits = T.reinterpret(sf, T.uint32) |
| |
| |
| exp_sf = ((bits - 1) >> 23) + 1 - 127 |
| sf_inv = T.reinterpret((127 - exp_sf) << 23, T.float32) |
| if out_config.use_packed_ue8m0: |
| return T.uint8(exp_sf + 127), sf_inv |
| else: |
| return T.reinterpret((127 + exp_sf) << 23, T.float32), sf_inv |
|
|
|
|
| @T.macro |
| def load_sf(tensor: T.Tensor, m_idx: int, k_idx: int, config: BaseCastConfig): |
| if config.use_packed_ue8m0: |
| return tensor[k_idx // 4, m_idx * 4 + k_idx % 4] |
| elif config.use_tma_aligned_col_major_sf: |
| return tensor[k_idx, m_idx] |
| else: |
| return tensor[m_idx, k_idx] |
|
|
|
|
| @T.macro |
| def transform_sf(sf: Union[T.float32, T.uint8], config: BaseCastConfig) -> T.float32: |
| if config.use_packed_ue8m0: |
| return T.reinterpret(T.uint32(sf) << 23, T.float32) |
| else: |
| return sf |
|
|
|
|
| @T.macro |
| def store_sf(tensor: T.Tensor, sf: Union[T.float32, T.uint8], m_idx: int, k_idx: int, config: BaseCastConfig): |
| if config.use_packed_ue8m0: |
| tensor[k_idx // 4, m_idx * 4 + k_idx % 4] = sf |
| elif config.use_tma_aligned_col_major_sf: |
| tensor[k_idx, m_idx] = sf |
| else: |
| tensor[m_idx, k_idx] = sf |
|
|
|
|
| def unpack_from_e2m1fn_x2(x: torch.Tensor, out_dtype: torch.dtype = torch.float32) -> torch.Tensor: |
| """ |
| Decode a uint8/int8 tensor of packed fp4 values to float32. Used mainly for debugging. |
| |
| The input tensor is expected to have shape [..., 2 * K] where the last dimension contains |
| pairs of packed fp4 values. |
| The output tensor will have shape [..., K] with the decoded float32 values. |
| """ |
| assert x.dtype == torch.int8 or x.dtype == torch.uint8 |
|
|
| if x.ndim == 0: |
| raise ValueError('x must have at least 1 dimension so the last dim can be doubled') |
|
|
| lo = (x & 0x0F).to(torch.int16) |
| hi = ((x >> 4) & 0x0F).to(torch.int16) |
|
|
| def decode_fp4_e2m1(n: torch.Tensor) -> torch.Tensor: |
| |
| s = (n >> 3) & 0x1 |
| e = (n >> 1) & 0x3 |
| m = n & 0x1 |
|
|
| sign = torch.where( |
| s == 1, |
| torch.tensor(-1.0, device=n.device), |
| torch.tensor(1.0, device=n.device), |
| ) |
|
|
| bias = 1 |
|
|
| |
| |
| sub = (m.to(torch.float32) * 0.5) * (2.0 ** (1 - bias)) |
|
|
| |
| norm = (1.0 + m.to(torch.float32) * 0.5) * torch.pow( |
| torch.tensor(2.0, device=n.device), |
| (e - bias).to(torch.float32), |
| ) |
|
|
| val = torch.where(e == 0, sub, norm) |
| return (val * sign).to(out_dtype) |
|
|
| flo = decode_fp4_e2m1(lo) |
| fhi = decode_fp4_e2m1(hi) |
|
|
| |
| y = torch.stack([flo, fhi], dim=-1).reshape(*x.shape[:-1], x.shape[-1] * 2) |
| return y |
|
|