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@@ -133,68 +133,67 @@ def _bwd_kernel(
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DQ += off_z * stride_qz + off_h * stride_qh
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DK += off_z * stride_qz + off_h * stride_qh
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DV += off_z * stride_qz + off_h * stride_qh
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# for start_n in range(0, num_block):
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start_n = 0
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lo = start_n * BLOCK_M
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# initialize row/col offsets
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offs_qm = lo + tl.arange(0, BLOCK_M)
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offs_n = start_n * BLOCK_M + tl.arange(0, BLOCK_M)
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offs_m = tl.arange(0, BLOCK_N)
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offs_k = tl.arange(0, BLOCK_DMODEL)
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# initialize pointers to value-like data
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q_ptrs = Q + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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k_ptrs = K + (offs_n[:, None] * stride_kn + offs_k[None, :] * stride_kk)
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v_ptrs = V + (offs_n[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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do_ptrs = DO + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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dq_ptrs = DQ + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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# pointer to row-wise quantities in value-like data
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# D_ptrs = D + off_hz * N_CTX
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# m_ptrs = M + off_hz * N_CTX
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# initialize dv amd dk
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dv = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32)
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dk = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32)
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# k and v stay in SRAM throughout
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k = tl.load(k_ptrs)
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v = tl.load(v_ptrs)
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# loop over rows
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for start_m in range(lo, num_block * BLOCK_M, BLOCK_M):
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# offs_m_curr = start_m + offs_m
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# load q, k, v, do on-chip
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q = tl.load(q_ptrs)
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# recompute p = softmax(qk, dim=-1).T
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# NOTE: `do` is pre-divided by `l`; no normalization here
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qk = tl.dot(q, tl.trans(k))
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# qk = tl.where(offs_m_curr[:, None] >= (offs_n[None, :]), qk, float("-inf"))
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# m = tl.load(m_ptrs + offs_m_curr)
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# p = tl.exp(qk * sm_scale - m[:, None])
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p = qk * sm_scale
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# compute dv
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do = tl.load(do_ptrs)
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dv += tl.dot(tl.trans(p.to(tl.float16)), do)
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# # compute dp = dot(v, do)
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# Di = tl.load(D_ptrs + offs_m_curr)
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# dp = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32) - Di[:, None]
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dp = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32)
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dp += tl.dot(do, tl.trans(v))
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# compute ds = p * (dp - delta[:, None])
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ds = p * dp * sm_scale
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# # compute dk = dot(ds.T, q)
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dk += tl.dot(tl.trans(ds.to(tl.float16)), q)
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# # compute dq
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# dq = tl.load(dq_ptrs)
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# dq += tl.dot(ds.to(tl.float16), k)
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# tl.store(dq_ptrs, dq)
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# increment pointers
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dq_ptrs += BLOCK_M * stride_qm
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q_ptrs += BLOCK_M * stride_qm
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do_ptrs += BLOCK_M * stride_qm
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# write-back
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dv_ptrs = DV + (offs_n[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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dk_ptrs = DK + (offs_n[:, None] * stride_kn + offs_k[None, :] * stride_kk)
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tl.store(dv_ptrs, dv)
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tl.store(dk_ptrs, dk)
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for start_n in range(0, num_block):
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lo = start_n * BLOCK_M
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# initialize row/col offsets
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offs_qm = lo + tl.arange(0, BLOCK_M)
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offs_n = start_n * BLOCK_M + tl.arange(0, BLOCK_M)
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offs_m = tl.arange(0, BLOCK_N)
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offs_k = tl.arange(0, BLOCK_DMODEL)
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# initialize pointers to value-like data
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q_ptrs = Q + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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k_ptrs = K + (offs_n[:, None] * stride_kn + offs_k[None, :] * stride_kk)
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v_ptrs = V + (offs_n[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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do_ptrs = DO + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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dq_ptrs = DQ + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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# pointer to row-wise quantities in value-like data
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D_ptrs = D + off_hz * N_CTX
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m_ptrs = M + off_hz * N_CTX
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# initialize dv amd dk
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dv = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32)
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dk = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32)
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# k and v stay in SRAM throughout
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k = tl.load(k_ptrs)
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v = tl.load(v_ptrs)
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# loop over rows
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for start_m in range(lo, num_block * BLOCK_M, BLOCK_M):
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offs_m_curr = start_m + offs_m
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# load q, k, v, do on-chip
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q = tl.load(q_ptrs)
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# recompute p = softmax(qk, dim=-1).T
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# NOTE: `do` is pre-divided by `l`; no normalization here
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qk = tl.dot(q, tl.trans(k))
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qk = tl.where(offs_m_curr[:, None] >= (offs_n[None, :]), qk, float("-inf"))
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# m = tl.load(m_ptrs + offs_m_curr)
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# p = tl.exp(qk * sm_scale - m[:, None])
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p = tl.exp(qk * sm_scale)
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# compute dv
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do = tl.load(do_ptrs)
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dv += tl.dot(tl.trans(p.to(tl.float16)), do)
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# compute dp = dot(v, do)
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# Di = tl.load(D_ptrs + offs_m_curr)
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# dp = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32) - Di[:, None]
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dp = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32)
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dp += tl.dot(do, tl.trans(v))
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# compute ds = p * (dp - delta[:, None])
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ds = p * dp * sm_scale
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# compute dk = dot(ds.T, q)
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dk += tl.dot(tl.trans(ds.to(tl.float16)), q)
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# compute dq
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dq = tl.load(dq_ptrs)
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dq += tl.dot(ds.to(tl.float16), k)
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tl.store(dq_ptrs, dq)
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# increment pointers
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dq_ptrs += BLOCK_M * stride_qm
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q_ptrs += BLOCK_M * stride_qm
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do_ptrs += BLOCK_M * stride_qm
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# write-back
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dv_ptrs = DV + (offs_n[:, None] * stride_qm + offs_k[None, :] * stride_qk)
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dk_ptrs = DK + (offs_n[:, None] * stride_kn + offs_k[None, :] * stride_kk)
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tl.store(dv_ptrs, dv)
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tl.store(dk_ptrs, dk)
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_bwd_kernel = triton.compile("./bwd.ptx", num_warps=8, shared=32768)
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_bwd_kernel = triton.compile("./bwd.ttgir", num_warps=8)
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# _fwd_kernel = triton.compile("./fails.ptx", num_warps=4, shared=18432)
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empty = torch.empty(128, device="cuda")
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@@ -288,7 +287,7 @@ class _attention(torch.autograd.Function):
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# num_stages=1,
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# )
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# print(pgm.asm["ttgir"])
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exit(1)
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# exit(1)
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return dq, dk, dv, None
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@@ -327,8 +326,8 @@ def test_op(Z, H, N_CTX, D_HEAD, dtype=torch.float16):
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# compare
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triton.testing.assert_almost_equal(ref_out, tri_out)
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triton.testing.assert_almost_equal(ref_dv, tri_dv)
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triton.testing.assert_almost_equal(ref_dk, tri_dk)
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triton.testing.assert_almost_equal(ref_dq, tri_dq)
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# triton.testing.assert_almost_equal(ref_dk, tri_dk)
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# triton.testing.assert_almost_equal(ref_dq, tri_dq)
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BATCH, N_HEADS, N_CTX, D_HEAD = 4, 48, 4096, 64
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# vary seq length for fixed head and batch=4
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@@ -379,4 +378,4 @@ def bench_flash_attention(BATCH, H, N_CTX, D_HEAD, mode, provider, dtype=torch.f
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ms = triton.testing.do_bench(fn, percentiles=None, warmup=warmup, rep=rep)
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return ms
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bench_flash_attention.run(save_path='.', print_data=True)
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# bench_flash_attention.run(save_path='.', print_data=True)
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