import argparse import itertools import tilelang as tl import tilelang.language as T from tvm import DataType from tilelang.autotuner import autotune, jit def ref_program(A, B): return A @ B.T def naive_gemv( N: int, K: int, BLOCK_N: int, BLOCK_K: int, dtype: str = "float16", accum_dtype: str = "float", ): @T.prim_func def main( A: T.Tensor((K,), dtype), B: T.Tensor((N, K), dtype), C: T.Tensor((N,), dtype), ): with T.Kernel(T.ceildiv(N, BLOCK_N)) as bn: tn = T.get_thread_binding(0) # tn = threadIdx.x A_shared = T.alloc_shared((BLOCK_K,), dtype) B_shared = T.alloc_shared((BLOCK_N, BLOCK_K), dtype) C_reg = T.alloc_local((1,), accum_dtype) T.clear(C_reg) for bk in T.serial(T.ceildiv(K, BLOCK_K)): for tk in T.serial(BLOCK_K): A_shared[tk] = A[bk * BLOCK_K + tk] B_shared[tn, tk] = B[bn * BLOCK_N + tn, bk * BLOCK_K + tk] for tk in T.serial(BLOCK_K): C_reg[0] += A_shared[tk].astype(accum_dtype) * B_shared[tn, tk].astype(accum_dtype) C[bn * BLOCK_N + tn] = C_reg[0] return main def naive_splitk_gemv( N: int, K: int, BLOCK_N: int, BLOCK_K: int, dtype: str = "float16", accum_dtype: str = "float", ): @T.prim_func def main( A: T.Tensor((K,), dtype), B: T.Tensor((N, K), dtype), C: T.Tensor((N,), dtype), ): with T.Kernel(T.ceildiv(N, BLOCK_N), threads=(BLOCK_N, BLOCK_K)) as bn: tn = T.get_thread_binding(0) tk = T.get_thread_binding(1) A_local = T.alloc_local((1,), dtype) B_local = T.alloc_local((1,), dtype) C_accum = T.alloc_local((1,), accum_dtype) C_shared = T.alloc_shared((BLOCK_N,), accum_dtype) if tk == 0: C_shared[tn] = 0 T.clear(C_accum) for bk in T.serial(T.ceildiv(K, BLOCK_K)): A_local[0] = A[bk * BLOCK_K + tk] B_local[0] = B[bn * BLOCK_N + tn, bk * BLOCK_K + tk] C_accum[0] += A_local[0].astype(accum_dtype) * B_local[0].astype(accum_dtype) T.atomic_add(C_shared[tn], C_accum[0]) C[bn * BLOCK_N + tn] = C_shared[tn] return main def splitk_gemv( N: int, K: int, BLOCK_N: int, BLOCK_K: int, reduce_threads: int, dtype: str = "float16", accum_dtype: str = "float", ): TILE_K = T.ceildiv(BLOCK_K, reduce_threads) @T.prim_func def main( A: T.Tensor((K,), dtype), B: T.Tensor((N, K), dtype), C: T.Tensor((N,), dtype), ): with T.Kernel(T.ceildiv(N, BLOCK_N), threads=(BLOCK_N, reduce_threads)) as bn: tn = T.get_thread_binding(0) tk = T.get_thread_binding(1) A_local = T.alloc_local((TILE_K,), dtype) B_local = T.alloc_local((TILE_K,), dtype) C_shared = T.alloc_shared((BLOCK_N,), accum_dtype) C_accum = T.alloc_local((1,), accum_dtype) if tk == 0: C_shared[tn] = 0 T.clear(C_accum) for bk in T.serial(T.ceildiv(K, BLOCK_K)): for k in T.serial(TILE_K): A_local[k] = A[bk * BLOCK_K + tk * TILE_K + k] B_local[k] = B[bn * BLOCK_N + tn, bk * BLOCK_K + tk * TILE_K + k] for k in T.serial(TILE_K): C_accum[0] += A_local[k].astype(accum_dtype) * B_local[k].astype(accum_dtype) T.atomic_add(C_shared[tn], C_accum[0]) C[bn * BLOCK_N + tn] = C_shared[tn] return main def splitk_gemv_vectorized( N: int, K: int, BLOCK_N: int, reduce_threads: int, dtype: str = "float16", accum_dtype: str = "float", ): MAX_TRANSACTION_SIZE_IN_BITS = 128 TILE_K = MAX_TRANSACTION_SIZE_IN_BITS // DataType(dtype).bits BLOCK_K = reduce_threads * TILE_K @T.prim_func def main( A: T.Tensor((K,), dtype), B: T.Tensor((N, K), dtype), C: T.Tensor((N,), dtype), ): with T.Kernel(T.ceildiv(N, BLOCK_N), threads=(BLOCK_N, reduce_threads)) as bn: tn = T.get_thread_binding(0) tk = T.get_thread_binding(1) A_local = T.alloc_local((TILE_K,), dtype) B_local = T.alloc_local((TILE_K,), dtype) C_shared = T.alloc_shared((BLOCK_N,), accum_dtype) C_accum = T.alloc_local((1,), accum_dtype) if tk == 0: C_shared[tn] = 0 T.clear(C_accum) for bk in T.serial(T.ceildiv(K, BLOCK_K)): for k in T.vectorized(TILE_K): A_local[k] = A[bk * BLOCK_K + tk * TILE_K + k] B_local[k] = B[bn * BLOCK_N + tn, bk * BLOCK_K + tk * TILE_K + k] for k in T.serial(TILE_K): C_accum[0] += A_local[k].astype(accum_dtype) * B_local[k].astype(accum_dtype) T.atomic_add(C_shared[tn], C_accum[0]) C[bn * BLOCK_N + tn] = C_shared[tn] return main def splitk_gemv_vectorized_tvm( N: int, K: int, BLOCK_N: int, reduce_threads: int, dtype: str = "float16", accum_dtype: str = "float", ): MAX_TRANSACTION_SIZE_IN_BITS = 128 TILE_K = MAX_TRANSACTION_SIZE_IN_BITS // DataType(dtype).bits BLOCK_K = reduce_threads * TILE_K @T.prim_func def main( A: T.Tensor((K,), dtype), B: T.Tensor((N, K), dtype), C: T.Tensor((N,), dtype), ): with T.Kernel(T.ceildiv(N, BLOCK_N), threads=(BLOCK_N, reduce_threads)) as bn: tn = T.get_thread_binding(0) tk = T.get_thread_binding(1) A_local = T.alloc_local((TILE_K,), dtype) B_local = T.alloc_local((TILE_K,), dtype) C_accum = T.alloc_local((1,), accum_dtype) T.clear(C_accum) for bk in T.serial(T.ceildiv(K, BLOCK_K)): for k in T.vectorized(TILE_K): A_local[k] = A[bk * BLOCK_K + tk * TILE_K + k] B_local[k] = B[bn * BLOCK_N + tn, bk * BLOCK_K + tk * TILE_K + k] for k in T.serial(TILE_K): C_accum[0] += A_local[k].astype(accum_dtype) * B_local[k].astype(accum_dtype) C_reduced = T.alloc_local((1,), accum_dtype) with T.attr( T.comm_reducer(lambda x, y: x + y, [T.Cast(accum_dtype, 0)]), "reduce_scope", T.reinterpret(T.uint64(0), dtype="handle"), ): T.evaluate( T.tvm_thread_allreduce( T.uint32(1), C_accum[0], True, C_reduced[0], tk, dtype="handle", )) C[bn * BLOCK_N + tn] = C_reduced[0] return main def get_best_config(N, K): def get_configs(): BLOCK_N = [2, 4, 8, 32, 64, 128] reduce_threads = [4, 8, 32] _configs = list(itertools.product( BLOCK_N, reduce_threads, )) configs = [{ "BLOCK_N": c[0], "reduce_threads": c[1], } for c in _configs] return configs @autotune( configs=get_configs(), warmup=3, rep=20, ) @jit( out_idx=[-1], supply_type=tl.TensorSupplyType.Integer, ref_prog=ref_program, skip_check=False, target="auto", ) def kernel( BLOCK_N=None, reduce_threads=None, ): dtype = "float16" accum_dtype = "float" MAX_TRANSACTION_SIZE_IN_BITS = 128 TILE_K = MAX_TRANSACTION_SIZE_IN_BITS // DataType(dtype).bits BLOCK_K = reduce_threads * TILE_K @T.prim_func def main( A: T.Tensor((K,), dtype), B: T.Tensor((N, K), dtype), C: T.Tensor((N,), dtype), ): with T.Kernel(T.ceildiv(N, BLOCK_N), threads=(BLOCK_N, reduce_threads)) as bn: tn = T.get_thread_binding(0) tk = T.get_thread_binding(1) A_local = T.alloc_local((TILE_K,), dtype) B_local = T.alloc_local((TILE_K,), dtype) C_accum = T.alloc_local((1,), accum_dtype) T.clear(C_accum) for bk in T.serial(T.ceildiv(K, BLOCK_K)): for k in T.vectorized(TILE_K): A_local[k] = A[bk * BLOCK_K + tk * TILE_K + k] B_local[k] = B[bn * BLOCK_N + tn, bk * BLOCK_K + tk * TILE_K + k] for k in T.serial(TILE_K): C_accum[0] += A_local[k].astype(accum_dtype) * B_local[k].astype( accum_dtype) C_reduced = T.alloc_local((1,), accum_dtype) with T.attr( T.comm_reducer(lambda x, y: x + y, [T.Cast(accum_dtype, 0)]), "reduce_scope", T.reinterpret(T.uint64(0), dtype="handle"), ): T.evaluate( T.tvm_thread_allreduce( T.uint32(1), C_accum[0], True, C_reduced[0], tk, dtype="handle", )) C[bn * BLOCK_N + tn] = C_reduced[0] return main return kernel() def check_correctness_and_bench(kernel, N, K, bench_ref=True): kernel = tl.compile(kernel, out_idx=-1) profiler = kernel.get_profiler() profiler.assert_allclose(lambda x, y: x @ y.T, atol=1e-2, rtol=1e-2) if bench_ref: latency = profiler.do_bench(lambda x, y: x @ y.T, warmup=500) print(f"Torch Latency: {latency} ms") latency = profiler.do_bench(kernel, warmup=500) print(f"TileLang Latency: {latency} ms\n") if __name__ == "__main__": parser = argparse.ArgumentParser(description="GEMV Example") parser.add_argument("--n", type=int, default=1024, help="Matrix dimension N") parser.add_argument("--k", type=int, default=1024, help="Matrix dimension K") args = parser.parse_args() N, K = args.n, args.k check_correctness_and_bench(naive_gemv(N, K, 128, 128), N, K) check_correctness_and_bench(naive_splitk_gemv(N, K, 32, 32), N, K) check_correctness_and_bench(splitk_gemv(N, K, 32, 32, 32), N, K) check_correctness_and_bench(splitk_gemv_vectorized(N, K, 2, 32), N, K) check_correctness_and_bench(splitk_gemv_vectorized_tvm(N, K, 2, 32), N, K) print("Test passed!") best_result = get_best_config(N, K) best_latency = best_result.latency best_config = best_result.config ref_latency = best_result.ref_latency kernel = splitk_gemv_vectorized_tvm(N, K, *best_config) kernel = tl.compile(kernel, out_idx=-1) profiler = kernel.get_profiler() latency = profiler.do_bench(lambda x, y: x @ y.T, warmup=500) print(f"Torch Latency: {latency} ms") latency = profiler.do_bench(kernel, warmup=500) print(f"TileLang Latency: {latency} ms\n")