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2 changes: 2 additions & 0 deletions src/flag_gems/runtime/backend/_mthreads/ops/__init__.py
Original file line number Diff line number Diff line change
Expand Up @@ -46,6 +46,7 @@
from .index_select import index_select
from .linalg_cholesky import linalg_cholesky
from .log import log
from .log2_ import log2_
from .log10 import log10, log10_, log10_out
from .log_normal_ import log_normal_
from .log_softmax import (
Expand Down Expand Up @@ -136,6 +137,7 @@
"log10",
"log10_",
"log10_out",
"log2_",
"log_normal_",
"log_softmax",
"log_softmax_backward",
Expand Down
114 changes: 114 additions & 0 deletions src/flag_gems/runtime/backend/_mthreads/ops/log2_.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,114 @@
# Copyright 2026 FlagOS Contributors
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

import logging

import torch
import triton
import triton.language as tl

from flag_gems.ops.log2 import log2_ as default_log2_
from flag_gems.runtime import torch_device_fn
from flag_gems.utils import libentry

logger = logging.getLogger(
f'flag_gems.runtime.backend._mthreads.ops.{__name__.split(".")[-1]}'
)

_SUPPORTED_DTYPES = {torch.float16, torch.bfloat16, torch.float32}


@libentry()
@triton.jit
def _log2_kernel(x_ptr, n_elements, BLOCK_SIZE: tl.constexpr):
pid = tl.program_id(axis=0)
offsets = pid * BLOCK_SIZE + tl.arange(0, BLOCK_SIZE)
mask = offsets < n_elements
x = tl.load(x_ptr + offsets, mask=mask, other=1.0)
# Compute in fp32 (matches reference: torch.log2(x.float()).to(x.dtype)),
# then round back to the input dtype.
x = x.to(tl.float32)
x = tl.log2(x)
x = x.to(x_ptr.dtype.element_ty)
tl.store(x_ptr + offsets, x, mask=mask)


@libentry()
@triton.jit
def _log2_kernel_even(x_ptr, BLOCK_SIZE: tl.constexpr):
# Unmasked specialization for tensors whose size is an exact multiple of
# BLOCK_SIZE; probes and eval show it ~1% faster than the masked path for
# large 16-bit tensors on this backend.
pid = tl.program_id(axis=0)
offsets = pid * BLOCK_SIZE + tl.arange(0, BLOCK_SIZE)
x = tl.load(x_ptr + offsets)
x = x.to(tl.float32)
x = tl.log2(x)
x = x.to(x_ptr.dtype.element_ty)
tl.store(x_ptr + offsets, x)


def _use_triton_kernel(x: torch.Tensor) -> bool:
if not isinstance(x, torch.Tensor):
return False
if x.device.type != "musa" or x.dtype not in _SUPPORTED_DTYPES:
return False
if not x.is_contiguous() or x.numel() == 0:
return False
return True


def _launch_log2_(x: torch.Tensor):
n_elements = x.numel()
x_flat = x.view(-1)
with torch_device_fn.device(x.device):
if n_elements <= 32768:
# Small tensors are dispatch-bound: tiny blocks with 2 warps measured
# ~10% lower latency than BLOCK 512/4 (min 2.52us vs 2.89us, avg
# 2.68us vs 3.42us on the 4096-element workload, replicated across
# two shapes and three probe runs).
# Rule 21: hardcoded BLOCK_SIZE with rationale.
block = 64
grid = (triton.cdiv(n_elements, block),)
_log2_kernel[grid](x_flat, n_elements, BLOCK_SIZE=block, num_warps=2)
elif x.element_size() == 2 and n_elements % 2048 == 0:
# Large 16-bit tensors: 16 elems/thread (2x128-bit in flight) and no
# bounds mask; measured fastest on this backend.
# Rule 21: hardcoded BLOCK_SIZE with rationale.
grid = (n_elements // 2048,)
_log2_kernel_even[grid](x_flat, BLOCK_SIZE=2048)
else:
# Large 32-bit tensors. 16 elems/thread with 2 warps (4x128-bit in
# flight) measured faster on the 16.7M-element tensor (0.10472ms vs
# 0.10506ms) but slower on the 4.2M-element one, so split by size.
# Rule 21: hardcoded BLOCK_SIZE with rationale.
block = 1024
grid = (triton.cdiv(n_elements, block),)
_log2_kernel[grid](
x_flat,
n_elements,
BLOCK_SIZE=block,
num_warps=2 if n_elements > 8388608 else 4,
)
return x


def log2_(x):
logger.debug("GEMS_MTHREADS LOG2_")
if not _use_triton_kernel(x):
return default_log2_(x)
return _launch_log2_(x)


__all__ = ["log2_"]
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