185 lines
8.2 KiB
Python
185 lines
8.2 KiB
Python
import torch
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import triton
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import triton.language as tl
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from .matmul_perf_model import early_config_prune, estimate_matmul_time
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def init_to_zero(name):
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return lambda nargs: nargs[name].zero_()
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def get_configs_io_bound():
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configs = []
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if hasattr(torch, "corex"):
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return configs
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for num_stages in [1, 2]:
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# TODO support block size 16 for MFMA dot op
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for block_m in [16, 32] if torch.version.hip is None and not hasattr(torch, "corex") else [32, 64]:
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for block_k in [32, 64]:
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for block_n in [32, 64, 128, 256]:
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num_warps = 2 if block_n <= 64 else 4
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configs.append(
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triton.Config({'BLOCK_M': block_m, 'BLOCK_N': block_n, 'BLOCK_K': block_k, 'SPLIT_K': 1},
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num_stages=num_stages, num_warps=num_warps))
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# split_k
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for split_k in [2, 4, 8, 16]:
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configs.append(triton.Config({'BLOCK_M': block_m, 'BLOCK_N': block_n, 'BLOCK_K': block_k, 'SPLIT_K': split_k},
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num_stages=num_stages, num_warps=num_warps, pre_hook=init_to_zero('C')))
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return configs
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def get_configs_compute_bound():
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configs = []
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if hasattr(torch, "corex"):
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for block_m in [32, 64, 128, 256]:
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for block_n in [32, 64, 128, 256]:
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for block_k in [32, 64, 128, 256]:
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for num_stages in [1, 2]:
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num_warps = 16 if block_m >= 128 or block_n >=128 or block_k >= 128 else 8
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configs.append(
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triton.Config({'BLOCK_M': block_m, 'BLOCK_N': block_n, 'BLOCK_K': block_k, 'SPLIT_K': 1},
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num_stages=num_stages, num_warps=num_warps))
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return configs
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def get_nv_config():
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configs = []
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if hasattr(torch, "corex"):
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return configs
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configs = [# basic configs for compute-bound matmuls
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triton.Config({'BLOCK_M': 128, 'BLOCK_N': 256, 'BLOCK_K': 32, 'SPLIT_K': 1}, num_stages=3, num_warps=8),
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triton.Config({'BLOCK_M': 256, 'BLOCK_N': 128, 'BLOCK_K': 32, 'SPLIT_K': 1}, num_stages=3, num_warps=8),
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triton.Config({'BLOCK_M': 256, 'BLOCK_N': 64, 'BLOCK_K': 32, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 64, 'BLOCK_N': 256, 'BLOCK_K': 32, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 32, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 128, 'BLOCK_N': 64, 'BLOCK_K': 32, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 64, 'BLOCK_N': 128, 'BLOCK_K': 32, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 128, 'BLOCK_N': 32, 'BLOCK_K': 32, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 64, 'BLOCK_N': 32, 'BLOCK_K': 32, 'SPLIT_K': 1}, num_stages=5, num_warps=2),
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# good for int8
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triton.Config({'BLOCK_M': 128, 'BLOCK_N': 256, 'BLOCK_K': 128, 'SPLIT_K': 1}, num_stages=3, num_warps=8),
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triton.Config({'BLOCK_M': 256, 'BLOCK_N': 128, 'BLOCK_K': 128, 'SPLIT_K': 1}, num_stages=3, num_warps=8),
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triton.Config({'BLOCK_M': 256, 'BLOCK_N': 64, 'BLOCK_K': 128, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 64, 'BLOCK_N': 256, 'BLOCK_K': 128, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 128, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 128, 'BLOCK_N': 64, 'BLOCK_K': 64, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 64, 'BLOCK_N': 128, 'BLOCK_K': 64, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 128, 'BLOCK_N': 32, 'BLOCK_K': 64, 'SPLIT_K': 1}, num_stages=4, num_warps=4),
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triton.Config({'BLOCK_M': 64, 'BLOCK_N': 32, 'BLOCK_K': 64, 'SPLIT_K': 1}, num_stages=5, num_warps=2),
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]
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return configs
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@triton.autotune(
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configs=get_nv_config() + get_configs_compute_bound() + get_configs_io_bound(),
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key=['M', 'N', 'K'],
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prune_configs_by={
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'early_config_prune': early_config_prune,
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'perf_model': estimate_matmul_time,
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'top_k': 10
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},
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)
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@triton.heuristics({
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'EVEN_K': lambda args: args['K'] % (args['BLOCK_K'] * args['SPLIT_K']) == 0,
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})
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@triton.jit
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def _kernel(A, B, C, M, N, K,
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stride_am, stride_ak,
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stride_bk, stride_bn,
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stride_cm, stride_cn,
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dot_out_dtype: tl.constexpr,
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BLOCK_M: tl.constexpr, BLOCK_N: tl.constexpr, BLOCK_K: tl.constexpr,
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GROUP_M: tl.constexpr, SPLIT_K: tl.constexpr, EVEN_K: tl.constexpr,
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):
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# matrix multiplication
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pid = tl.program_id(0)
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pid_z = tl.program_id(1)
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grid_m = tl.cdiv(M, BLOCK_M)
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grid_n = tl.cdiv(N, BLOCK_N)
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# re-order program ID for better L2 performance
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width = GROUP_M * grid_n
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group_id = pid // width
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group_size = min(grid_m - group_id * GROUP_M, GROUP_M)
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pid_m = group_id * GROUP_M + (pid % group_size)
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pid_n = (pid % width) // (group_size)
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# do matrix multiplication
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rm = pid_m * BLOCK_M + tl.arange(0, BLOCK_M)
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rn = pid_n * BLOCK_N + tl.arange(0, BLOCK_N)
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ram = tl.max_contiguous(tl.multiple_of(rm % M, BLOCK_M), BLOCK_M)
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rbn = tl.max_contiguous(tl.multiple_of(rn % N, BLOCK_N), BLOCK_N)
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rk = pid_z * BLOCK_K + tl.arange(0, BLOCK_K)
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# pointers
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A = A + (ram[:, None] * stride_am + rk[None, :] * stride_ak)
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B = B + (rk[:, None] * stride_bk + rbn[None, :] * stride_bn)
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acc = tl.zeros((BLOCK_M, BLOCK_N), dtype=dot_out_dtype)
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for k in range(0, tl.cdiv(K, BLOCK_K * SPLIT_K)):
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if EVEN_K:
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a = tl.load(A)
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b = tl.load(B)
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else:
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k_remaining = K - k * (BLOCK_K * SPLIT_K)
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a = tl.load(A, mask=rk[None, :] < k_remaining, other=0.)
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b = tl.load(B, mask=rk[:, None] < k_remaining, other=0.)
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acc += tl.dot(a, b, out_dtype=dot_out_dtype)
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A += BLOCK_K * SPLIT_K * stride_ak
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B += BLOCK_K * SPLIT_K * stride_bk
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acc = acc.to(C.dtype.element_ty)
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# rematerialize rm and rn to save registers
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rm = pid_m * BLOCK_M + tl.arange(0, BLOCK_M)
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rn = pid_n * BLOCK_N + tl.arange(0, BLOCK_N)
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C = C + (rm[:, None] * stride_cm + rn[None, :] * stride_cn)
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mask = (rm < M)[:, None] & (rn < N)[None, :]
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# handles write-back with reduction-splitting
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if SPLIT_K == 1:
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tl.store(C, acc, mask=mask)
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else:
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tl.atomic_add(C, acc, mask=mask)
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class _matmul(torch.autograd.Function):
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kernel = _kernel
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_locks = {}
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@staticmethod
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def _call(a, b, dot_out_dtype):
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device = a.device
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# handle non-contiguous inputs if necessary
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if a.stride(0) > 1 and a.stride(1) > 1:
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a = a.contiguous()
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if b.stride(0) > 1 and b.stride(1) > 1:
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b = b.contiguous()
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# checks constraints
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assert a.shape[1] == b.shape[0], "incompatible dimensions"
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M, K = a.shape
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_, N = b.shape
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# allocates output
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c = torch.empty((M, N), device=device, dtype=a.dtype)
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if dot_out_dtype is None:
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if a.dtype in [torch.float16, torch.float32, torch.bfloat16]:
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dot_out_dtype = tl.float32
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else:
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dot_out_dtype = tl.int32
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else:
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assert isinstance(dot_out_dtype, torch.dtype), "dot_out_dtype must be a torch.dtype"
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if dot_out_dtype == torch.float16:
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dot_out_dtype = tl.float16
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elif dot_out_dtype in [torch.float32, torch.bfloat16]:
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dot_out_dtype = tl.float32
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else:
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dot_out_dtype = tl.int32
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# launch kernel
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grid = lambda META: (triton.cdiv(M, META['BLOCK_M']) * triton.cdiv(N, META['BLOCK_N']), META['SPLIT_K'])
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_kernel[grid](a, b, c, M, N, K,
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a.stride(0), a.stride(1),
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b.stride(0), b.stride(1),
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c.stride(0), c.stride(1),
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dot_out_dtype=dot_out_dtype,
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GROUP_M=8)
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return c
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@staticmethod
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def forward(ctx, a, b, dot_out_dtype=None):
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return _matmul._call(a, b, dot_out_dtype=dot_out_dtype)
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matmul = _matmul.apply
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