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105 lines
7.5 KiB
105 lines
7.5 KiB
1 day ago
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import math, functools
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from dataclasses import dataclass
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from tinygrad.dtype import DType, dtypes
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from tinygrad.helpers import getenv
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@dataclass(frozen=True)
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class TensorCore: # D = A * B + C, A is (M x K), B is (K x N), C and D are (M x N)
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dims: tuple[int,int,int] # N, M, K
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threads: int # number of threads that construct the warp
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elements_per_thread: tuple[int, int, int] # elements per-thread to load/store from A/B/C
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dtype_in: DType # dtype for A and B
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dtype_out: DType # dtype for C and D
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opts: tuple[str, ...] # ordered tuple of "ux" or "lx" specifying kernel opts to perform. "ux" upcasts dim x and "lx" localizes dim x
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# (local_swizzle, upcast_swizzle, reduce_swizzle)
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# l<num> is the num axis of the locals, similar for u<num> and upcasts, r<num> and reduces
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swizzle: tuple[tuple[tuple[str, ...], tuple[str, ...], tuple[str, ...]], tuple[tuple[str, ...], tuple[str, ...], tuple[str, ...]]]
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@functools.cache # pylint: disable=method-cache-max-size-none
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def _remaps(self) -> list[dict[str, str]]:
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local_axes, upcast_axes, reduce_axes = len(self.get_local_axes()), len(self.get_upcast_axes()), len(self.get_reduce_axes())
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fwd_st = [f"l{i}" for i in range(local_axes)] + [f"u{i}" for i in range(upcast_axes)] + [f"r{i}" for i in range(reduce_axes)]
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return [dict(zip(fwd_st, sum(s, ()))) for s in self.swizzle]
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def permutes_for_shape_str(self, shape_str:list[str]) -> tuple[tuple[int, ...], tuple[int, ...]]:
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ret = [[shape_str.index(remap[ss]) if ss in remap else i for i,ss in enumerate(shape_str)] for remap in self._remaps()]
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return tuple(ret[0]), tuple(ret[1])
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def get_reduce_axes(self): return [(i, 2) for i in range(int(math.log2(self.dims[2])))]
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def get_upcast_axes(self): return [opt for opt in self.opts if opt[0] == "u"]
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def get_local_axes(self): return [opt for opt in self.opts if opt[0] == "l"]
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def __str__(self): return "_".join(["WMMA"] + list(map(str, self.dims)) + [self.dtype_in.name, self.dtype_out.name])
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def __post_init__(self):
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# all axes have size 2, <local> <reduce> <upcast> is the order
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local_axes, upcast_axes, reduce_axes = len(self.get_local_axes()), len(self.get_upcast_axes()), len(self.get_reduce_axes())
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assert self.dims[0] * self.dims[1] == 2**(local_axes + upcast_axes), \
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f"N({self.dims[0]}) x M({self.dims[1]}) != local({2**local_axes}) x upcast({2**upcast_axes}) with opts({self.opts})"
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assert 2**local_axes == self.threads, f"{self.threads} threads construct the warp but found {2**local_axes} in {self.opts}"
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assert 2**upcast_axes == self.elements_per_thread[2], \
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f"{self.elements_per_thread[2]} elements from C are processed per thread but found {2**upcast_axes} in {self.opts}"
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# check swizzle
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assert len(self.swizzle[0]) == 3 and len(self.swizzle[1]) == 3, "swizzle has wrong part count"
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assert len(self.swizzle[0][0]) == len(self.swizzle[1][0]) == local_axes, "local swizzle size is wrong"
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assert len(self.swizzle[0][1]) == len(self.swizzle[1][1]) == upcast_axes, "upcast swizzle size is wrong"
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assert len(self.swizzle[0][2]) == len(self.swizzle[1][2]) == reduce_axes, "reduce swizzle size is wrong"
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assert all(len(s) == local_axes+upcast_axes+reduce_axes for s in self._remaps()), "remaps are the wrong size"
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# ***** NVIDIA *****
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cuda_tc_opts = ("u0","l0","l0","l1","l1","l1","u1") # shared by all shapes with M=16 N=8
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# https://docs.nvidia.com/cuda/parallel-thread-execution/#warp-level-matrix-multiply-accumulate-instructions
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cuda_81616 = [TensorCore(dims=(8,16,16), threads=32, elements_per_thread=(8,4,4), dtype_in=di, dtype_out=do, opts=cuda_tc_opts,
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swizzle=((('r1', 'r2', 'l2', 'l3', 'l4'), ('u1', 'r3'), ('l0', 'l1', 'u0', 'r0')),
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(('r1', 'r2', 'u0', 'l0', 'l1'), ('r0', 'r3'), ('l2', 'l3', 'l4', 'u1'))))
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for di,do in [(dtypes.half,dtypes.float), (dtypes.bfloat16,dtypes.float), (dtypes.half,dtypes.half)]]
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cuda_8168_f16 = [TensorCore(dims=(8,16,8), threads=32, elements_per_thread=(4,2,4), dtype_in=di, dtype_out=do, opts=cuda_tc_opts,
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swizzle=((('r1', 'r2', 'l2', 'l3', 'l4'), ('r0', 'u1'), ('l0', 'l1', 'u0')),
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(('r1', 'r2', 'u0', 'l0', 'l1'), ('u1', 'r0'), ('l2', 'l3', 'l4'))))
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for di,do in [(dtypes.half,dtypes.float), (dtypes.half,dtypes.half)]]
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cuda_8168_tf32 = [TensorCore(dims=(8,16,8), threads=32, elements_per_thread=(4,2,4), dtype_in=dtypes.float, dtype_out=dtypes.float, opts=cuda_tc_opts,
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swizzle=((('r0', 'r1', 'l2', 'l3', 'l4'), ('u1', 'r2'), ('l0', 'l1', 'u0')),
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(('r0', 'r1', 'u0', 'l0', 'l1'), ('u1', 'r2'), ('l2', 'l3', 'l4'))))]
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cuda_sm80: list[TensorCore] = cuda_81616 + cuda_8168_f16
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if getenv("ALLOW_TF32", 0): cuda_sm80 += cuda_8168_tf32
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cuda_sm75: list[TensorCore] = cuda_8168_f16
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# ***** AMD *****
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# https://gpuopen.com/learn/wmma_on_rdna3/
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amd_rdna3 = [TensorCore(dims=(16,16,16), threads=32, elements_per_thread=(16,16,8), dtype_in=di, dtype_out=do,
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opts=("l0","l0","l0","l0","l1","u1","u1","u1"), swizzle=((('l4', 'u0', 'u1', 'u2', 'l0'), ('r1', 'r2', 'r3'), ('l1', 'l2', 'l3', 'r0')),
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(('l0', 'l1', 'l2', 'l3', 'l4'), ('r1', 'r2', 'r3'), ('u0', 'u1', 'u2', 'r0'))))
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for di,do in [(dtypes.half,dtypes.float),(dtypes.half,dtypes.half),(dtypes.bfloat16,dtypes.float)]]
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amd_rdna4 = [TensorCore(dims=(16,16,16), threads=32, elements_per_thread=(8,8,8), dtype_in=di, dtype_out=do,
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opts=("l0","l0","l0","l0","u1","u1","u1","l1"), swizzle=((('u0', 'u1', 'u2', 'l4', 'r2'), ('r0', 'r1', 'r3'), ('l0', 'l1', 'l2', 'l3')),
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(('l0', 'l1', 'l2', 'l3', 'r2'), ('r0', 'r1', 'r3'), ('l4', 'u0', 'u1', 'u2'))))
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for di,do in [(dtypes.half,dtypes.float),(dtypes.half,dtypes.half),(dtypes.bfloat16,dtypes.float),(dtypes.bfloat16,dtypes.bfloat16)]]
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# https://gpuopen.com/learn/amd-lab-notes/amd-lab-notes-matrix-cores-readme
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amd_cdna = [TensorCore(dims=(16,16,16), threads=64, elements_per_thread=(4,4,4), dtype_in=di, dtype_out=do,
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opts=("l0","l0","l0","l0","u1","u1","l1","l1"),
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swizzle=((('u0', 'u1', 'l4', 'l5', 'r2', 'r3'), ('r0', 'r1'), ('l0', 'l1', 'l2', 'l3')),
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(('l0', 'l1', 'l2', 'l3', 'r2', 'r3'), ('r0', 'r1'), ('l4', 'l5', 'u0', 'u1'))))
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for di,do in [(dtypes.half,dtypes.float),(dtypes.bfloat16,dtypes.float)]]
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# ***** Apple Metal *****
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metal = [TensorCore(dims=(8,8,8), threads=32, elements_per_thread=(2,2,2), dtype_in=di, dtype_out=do,
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opts=("u0","l0","l1","l1","l0","l1"),
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swizzle=((('r1', 'l1', 'l2', 'r2', 'l4'), ('r0',), ('u0', 'l0', 'l3')),
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(('l0', 'r0', 'r1', 'l3', 'r2'), ('u0',), ('l1', 'l2', 'l4'))))
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for di,do in [(dtypes.float,dtypes.float),(dtypes.half,dtypes.float),
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(dtypes.half,dtypes.half),(dtypes.bfloat16,dtypes.float),(dtypes.bfloat16,dtypes.bfloat16)]]
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# ***** Apple AMX *****
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amx = [TensorCore(dims=(sz,sz,1), threads=1, elements_per_thread=(sz,sz,sz*sz), dtype_in=dt, dtype_out=dt,
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swizzle=(((), ('u0', 'u1', 'u2', 'u3', 'u4', 'u5', 'u6', 'u7'), ()),
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((), ('u4', 'u5', 'u6', 'u7', 'u0', 'u1', 'u2', 'u3'), ())),
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opts=("u0","u0","u0","u0","u1","u1","u1","u1")) for dt,sz in [(dt, 64 // dt.itemsize) for dt in [dtypes.float]]]
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# ***** Intel ****
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intel = [TensorCore(dims=(8,8,16), threads=8, elements_per_thread=(16,16,8), dtype_in=dtypes.half, dtype_out=dtypes.float,
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opts=("l0","l0","l0","u1","u1","u1"),
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swizzle=((('r1', 'r2', 'r3'), ('u0', 'u1', 'u2'), ('l0', 'l1', 'l2', 'r0')),
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(('l0', 'l1', 'l2'), ('r1', 'r2', 'r3'), ('u0', 'u1', 'u2', 'r0'))))]
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