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@@ -32,7 +32,7 @@ def _fwd_kernel(
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offs_n = tl.arange(0, BLOCK_N)
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offs_n = tl.arange(0, BLOCK_N)
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offs_d = tl.arange(0, BLOCK_DMODEL)
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offs_d = tl.arange(0, BLOCK_DMODEL)
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off_q = off_hz * stride_qh + offs_m[:, None] * stride_qm + offs_d[None, :] * stride_qk
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off_q = off_hz * stride_qh + offs_m[:, None] * stride_qm + offs_d[None, :] * stride_qk
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off_k = off_hz * stride_qh + offs_n[:, None] * stride_kn + offs_d[None, :] * stride_kk
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off_k = off_hz * stride_qh + offs_n[None, :] * stride_kn + offs_d[:, None] * stride_kk
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off_v = off_hz * stride_qh + offs_n[:, None] * stride_qm + offs_d[None, :] * stride_qk
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off_v = off_hz * stride_qh + offs_n[:, None] * stride_qm + offs_d[None, :] * stride_qk
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# Initialize pointers to Q, K, V
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# Initialize pointers to Q, K, V
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q_ptrs = Q + off_q
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q_ptrs = Q + off_q
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@@ -50,7 +50,7 @@ def _fwd_kernel(
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# -- compute qk ----
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# -- compute qk ----
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k = tl.load(k_ptrs + start_n * stride_kn)
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k = tl.load(k_ptrs + start_n * stride_kn)
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qk = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32)
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qk = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32)
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qk += tl.dot(q, tl.trans(k))
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qk += tl.dot(q, k)
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qk *= sm_scale
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qk *= sm_scale
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qk += tl.where(offs_m[:, None] >= (start_n + offs_n[None, :]), 0, float("-inf"))
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qk += tl.where(offs_m[:, None] >= (start_n + offs_n[None, :]), 0, float("-inf"))
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# -- compute m_ij, p, l_ij
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# -- compute m_ij, p, l_ij
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@@ -165,26 +165,26 @@ def _bwd_kernel(
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q = tl.load(q_ptrs)
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q = tl.load(q_ptrs)
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# recompute p = softmax(qk, dim=-1).T
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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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# 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.dot(q, k, trans_b=True)
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qk = tl.where(offs_m_curr[:, None] >= (offs_n[None, :]), qk, float("-inf"))
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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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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 - m[:, None])
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# compute dv
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# compute dv
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do = tl.load(do_ptrs)
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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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dv += tl.dot(p.to(tl.float16), do, trans_a=True)
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# compute dp = dot(v, 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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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) - Di[:, None]
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dp += tl.dot(do, tl.trans(v))
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dp += tl.dot(do, v, trans_b=True)
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# compute ds = p * (dp - delta[:, None])
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# compute ds = p * (dp - delta[:, None])
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ds = p * dp * sm_scale
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ds = p * dp * sm_scale
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# compute dk = dot(ds.T, q)
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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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dk += tl.dot(ds.to(tl.float16), q, trans_a=True)
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# compute dq
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# # compute dq
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dq = tl.load(dq_ptrs)
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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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dq += tl.dot(ds.to(tl.float16), k)
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tl.store(dq_ptrs, dq)
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tl.store(dq_ptrs, dq)
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# increment pointers
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# # increment pointers
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dq_ptrs += BLOCK_M * stride_qm
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dq_ptrs += BLOCK_M * stride_qm
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q_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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do_ptrs += BLOCK_M * stride_qm
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@@ -196,8 +196,6 @@ def _bwd_kernel(
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empty = torch.empty(128, device="cuda")
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empty = torch.empty(128, device="cuda")
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class _attention(torch.autograd.Function):
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class _attention(torch.autograd.Function):
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@staticmethod
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@staticmethod
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@@ -250,8 +248,7 @@ class _attention(torch.autograd.Function):
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BLOCK_M=ctx.BLOCK, D_HEAD=ctx.BLOCK_DMODEL,
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BLOCK_M=ctx.BLOCK, D_HEAD=ctx.BLOCK_DMODEL,
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)
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)
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# NOTE: kernel currently buggy for other values of `num_warps`
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num_warps = 4 if ctx.BLOCK_DMODEL <= 64 else 8
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num_warps = 8
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_bwd_kernel[(ctx.grid[1],)](
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_bwd_kernel[(ctx.grid[1],)](
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q, k, v, ctx.sm_scale,
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q, k, v, ctx.sm_scale,
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o, do_scaled,
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o, do_scaled,
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@@ -276,7 +273,7 @@ attention = _attention.apply
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@pytest.mark.parametrize('Z, H, N_CTX, D_HEAD', [(4, 48, 1024, 64)])
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@pytest.mark.parametrize('Z, H, N_CTX, D_HEAD', [(4, 48, 1024, 64)])
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def test_op(Z, H, N_CTX, D_HEAD, dtype=torch.float16):
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def test_op(Z, H, N_CTX, D_HEAD, dtype=torch.float16):
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torch.manual_seed(20)
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torch.manual_seed(20)
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q = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0.1, std=0.2).requires_grad_()
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q = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0.1, std=0.1).requires_grad_()
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k = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0.4, std=0.2).requires_grad_()
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k = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0.4, std=0.2).requires_grad_()
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v = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0.3, std=0.2).requires_grad_()
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v = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0.3, std=0.2).requires_grad_()
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sm_scale = 0.2
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sm_scale = 0.2
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@@ -290,30 +287,23 @@ def test_op(Z, H, N_CTX, D_HEAD, dtype=torch.float16):
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p = torch.softmax(p.float(), dim=-1).half()
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p = torch.softmax(p.float(), dim=-1).half()
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# p = torch.exp(p)
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# p = torch.exp(p)
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ref_out = torch.matmul(p, v)
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ref_out = torch.matmul(p, v)
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ref_out.backward(dout)
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# ref_out.backward(dout)
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ref_dv, v.grad = v.grad.clone(), None
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# ref_dv, v.grad = v.grad.clone(), None
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ref_dk, k.grad = k.grad.clone(), None
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# ref_dk, k.grad = k.grad.clone(), None
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ref_dq, q.grad = q.grad.clone(), None
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# ref_dq, q.grad = q.grad.clone(), None
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# # triton implementation
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# # triton implementation
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tri_out = attention(q, k, v, sm_scale)
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tri_out = attention(q, k, v, sm_scale)
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# print(ref_out)
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# print(ref_out)
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# print(tri_out)
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# print(tri_out)
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tri_out.backward(dout)
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# tri_out.backward(dout)
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tri_dv, v.grad = v.grad.clone(), None
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# tri_dv, v.grad = v.grad.clone(), None
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tri_dk, k.grad = k.grad.clone(), None
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# tri_dk, k.grad = k.grad.clone(), None
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tri_dq, q.grad = q.grad.clone(), None
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# tri_dq, q.grad = q.grad.clone(), None
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# compare
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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_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_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_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_dq, tri_dq)
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try:
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from flash_attn.flash_attn_interface import flash_attn_func
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HAS_FLASH = True
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except BaseException:
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HAS_FLASH = False
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BATCH, N_HEADS, N_CTX, D_HEAD = 4, 48, 4096, 64
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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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# vary seq length for fixed head and batch=4
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@@ -321,8 +311,8 @@ configs = [triton.testing.Benchmark(
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x_names=['N_CTX'],
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x_names=['N_CTX'],
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x_vals=[2**i for i in range(10, 16)],
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x_vals=[2**i for i in range(10, 16)],
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line_arg='provider',
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line_arg='provider',
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line_vals=['triton'] + (['flash'] if HAS_FLASH else []),
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line_vals=['triton'],
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line_names=['Triton'] + (['Flash'] if HAS_FLASH else []),
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line_names=['Triton'],
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styles=[('red', '-'), ('blue', '-')],
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styles=[('red', '-'), ('blue', '-')],
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ylabel='ms',
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ylabel='ms',
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plot_name=f'fused-attention-batch{BATCH}-head{N_HEADS}-d{D_HEAD}-{mode}',
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plot_name=f'fused-attention-batch{BATCH}-head{N_HEADS}-d{D_HEAD}-{mode}',
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@@ -360,4 +350,4 @@ 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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ms = triton.testing.do_bench(fn, percentiles=None, warmup=warmup, rep=rep)
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return ms
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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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