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@@ -16,77 +16,99 @@ import triton.language as tl
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@triton.jit
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def _fwd_kernel(
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Q, K, V, sm_scale,
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L, M,
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L,
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Out,
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stride_qz, stride_qh, stride_qm, stride_qk,
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stride_kz, stride_kh, stride_kn, stride_kk,
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stride_vz, stride_vh, stride_vk, stride_vn,
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stride_oz, stride_oh, stride_om, stride_on,
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Z, H, N_CTX,
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Z, H, N_CTX, P_SEQ,
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BLOCK_M: tl.constexpr, BLOCK_DMODEL: tl.constexpr,
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BLOCK_N: tl.constexpr,
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IS_CAUSAL: tl.constexpr,
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):
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start_m = tl.program_id(0)
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off_hz = tl.program_id(1)
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q_offset = off_hz * stride_qh
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kv_offset = off_hz * stride_kh
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Q_block_ptr = tl.make_block_ptr(
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base=Q + q_offset,
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shape=(N_CTX, BLOCK_DMODEL),
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strides=(stride_qm, stride_qk),
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offsets=(start_m * BLOCK_M, 0),
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block_shape=(BLOCK_M, BLOCK_DMODEL),
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order=(1, 0)
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)
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K_block_ptr = tl.make_block_ptr(
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base=K + kv_offset,
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shape=(BLOCK_DMODEL, N_CTX + P_SEQ),
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strides=(stride_kk, stride_kn),
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offsets=(0, 0),
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block_shape=(BLOCK_DMODEL, BLOCK_N),
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order=(0, 1)
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)
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V_block_ptr = tl.make_block_ptr(
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base=V + kv_offset,
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shape=(N_CTX + P_SEQ, BLOCK_DMODEL),
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strides=(stride_vk, stride_vn),
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offsets=(0, 0),
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block_shape=(BLOCK_N, BLOCK_DMODEL),
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order=(1, 0)
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)
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# initialize offsets
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offs_m = start_m * BLOCK_M + tl.arange(0, BLOCK_M)
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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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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_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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q_ptrs = Q + off_q
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k_ptrs = K + off_k
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v_ptrs = V + off_v
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# initialize pointer to m and l
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m_prev = tl.zeros([BLOCK_M], dtype=tl.float32) - float("inf")
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l_prev = tl.zeros([BLOCK_M], dtype=tl.float32)
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m_i = tl.zeros([BLOCK_M], dtype=tl.float32) - float("inf")
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l_i = tl.zeros([BLOCK_M], dtype=tl.float32)
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acc = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32)
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# scale sm_scale by log_2(e) and use
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# 2^x instead of exp in the loop because CSE and LICM
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# don't work as expected with `exp` in the loop
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qk_scale = sm_scale * 1.44269504
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# load q: it will stay in SRAM throughout
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q = tl.load(q_ptrs)
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q = tl.load(Q_block_ptr)
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q = (q * qk_scale).to(tl.float16)
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# loop over k, v and update accumulator
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for start_n in range(0, (start_m + 1) * BLOCK_M, BLOCK_N):
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# -- compute qk ----
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k = tl.load(k_ptrs)
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lo = 0
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hi = P_SEQ + (start_m + 1) * BLOCK_M if IS_CAUSAL else N_CTX + P_SEQ
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for start_n in range(lo, hi, BLOCK_N):
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# -- load k, v --
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k = tl.load(K_block_ptr)
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v = tl.load(V_block_ptr)
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# -- compute qk ---
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qk = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32)
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if IS_CAUSAL:
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qk = tl.where(P_SEQ + offs_m[:, None] >= (start_n + offs_n[None, :]), qk, float("-inf"))
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qk += tl.dot(q, k)
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qk *= sm_scale
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qk = tl.where(offs_m[:, None] >= (start_n + offs_n[None, :]), qk, float("-inf"))
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# compute new m
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m_curr = tl.maximum(tl.max(qk, 1), m_prev)
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# correct old l
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l_prev *= tl.exp(m_prev - m_curr)
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# attention weights
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p = tl.exp(qk - m_curr[:, None])
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l_curr = tl.sum(p, 1) + l_prev
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# rescale operands of matmuls
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l_rcp = 1. / l_curr
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p *= l_rcp[:, None]
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acc *= (l_prev * l_rcp)[:, None]
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# update acc
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p = p.to(Q.dtype.element_ty)
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v = tl.load(v_ptrs)
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acc += tl.dot(p, v)
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# update m_i and l_i
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l_prev = l_curr
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m_prev = m_curr
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# -- compute scaling constant ---
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m_i_new = tl.maximum(m_i, tl.max(qk, 1))
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alpha = tl.math.exp2(m_i - m_i_new)
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p = tl.math.exp2(qk - m_i_new[:, None])
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# -- scale and update acc --
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acc_scale = l_i * 0 + alpha # workaround some compiler bug
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acc *= acc_scale[:, None]
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acc += tl.dot(p.to(tl.float16), v)
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# -- update m_i and l_i --
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l_i = l_i * alpha + tl.sum(p, 1)
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m_i = m_i_new
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# update pointers
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k_ptrs += BLOCK_N * stride_kn
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v_ptrs += BLOCK_N * stride_vk
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# rematerialize offsets to save registers
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start_m = tl.program_id(0)
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offs_m = start_m * BLOCK_M + tl.arange(0, BLOCK_M)
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K_block_ptr = tl.advance(K_block_ptr, (0, BLOCK_N))
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V_block_ptr = tl.advance(V_block_ptr, (BLOCK_N, 0))
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# write back l and m
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acc = acc / l_i[:, None]
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l_ptrs = L + off_hz * N_CTX + offs_m
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m_ptrs = M + off_hz * N_CTX + offs_m
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tl.store(l_ptrs, l_prev)
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tl.store(m_ptrs, m_prev)
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# initialize pointers to output
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offs_n = tl.arange(0, BLOCK_DMODEL)
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off_o = off_hz * stride_oh + offs_m[:, None] * stride_om + offs_n[None, :] * stride_on
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out_ptrs = Out + off_o
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tl.store(out_ptrs, acc)
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tl.store(l_ptrs, m_i + tl.math.log2(l_i))
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# write back O
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O_block_ptr = tl.make_block_ptr(
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base=Out + q_offset,
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shape=(N_CTX, BLOCK_DMODEL),
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strides=(stride_om, stride_on),
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offsets=(start_m * BLOCK_M, 0),
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block_shape=(BLOCK_M, BLOCK_DMODEL),
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order=(1, 0)
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)
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tl.store(O_block_ptr, acc.to(tl.float16))
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@triton.jit
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@@ -199,40 +221,44 @@ empty = torch.empty(128, device="cuda")
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class _attention(torch.autograd.Function):
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@staticmethod
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def forward(ctx, q, k, v, sm_scale):
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if torch.version.hip is not None:
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BLOCK = 64
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else:
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BLOCK = 128
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def forward(ctx, q, k, v, causal, sm_scale):
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# shape constraints
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Lq, Lk, Lv = q.shape[-1], k.shape[-1], v.shape[-1]
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assert Lq == Lk and Lk == Lv
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assert Lk in {16, 32, 64, 128}
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o = torch.empty_like(q)
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grid = (triton.cdiv(q.shape[2], BLOCK), q.shape[0] * q.shape[1], 1)
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BLOCK_M = 128
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if torch.version.hip is None:
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BLOCK_N = 64 if Lk <= 64 else 32
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num_stages = 4 if Lk <= 64 else 3
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else:
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BLOCK_N = 64
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num_stages = 1
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num_warps = 4
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grid = (triton.cdiv(q.shape[2], BLOCK_M), q.shape[0] * q.shape[1], 1)
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L = torch.empty((q.shape[0] * q.shape[1], q.shape[2]), device=q.device, dtype=torch.float32)
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m = torch.empty((q.shape[0] * q.shape[1], q.shape[2]), device=q.device, dtype=torch.float32)
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num_warps = 4 if Lk <= 64 else 8
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P_SEQ = 0 if q.shape[-2] == k.shape[-2] else k.shape[-2] - q.shape[-2]
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_fwd_kernel[grid](
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q, k, v, sm_scale,
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L, m,
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L,
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o,
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q.stride(0), q.stride(1), q.stride(2), q.stride(3),
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k.stride(0), k.stride(1), k.stride(2), k.stride(3),
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v.stride(0), v.stride(1), v.stride(2), v.stride(3),
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o.stride(0), o.stride(1), o.stride(2), o.stride(3),
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q.shape[0], q.shape[1], q.shape[2],
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BLOCK_M=BLOCK, BLOCK_N=BLOCK,
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BLOCK_DMODEL=Lk, num_warps=num_warps,
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num_stages=2,
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)
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# print(h.asm["ttgir"])
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q.shape[0], q.shape[1], q.shape[2], P_SEQ,
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BLOCK_M=BLOCK_M, BLOCK_N=BLOCK_N, BLOCK_DMODEL=Lk,
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IS_CAUSAL=causal,
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num_warps=num_warps,
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num_stages=num_stages)
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ctx.save_for_backward(q, k, v, o, L, m)
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ctx.save_for_backward(q, k, v, o, L)
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ctx.grid = grid
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ctx.sm_scale = sm_scale
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ctx.BLOCK_DMODEL = Lk
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ctx.causal = causal
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ctx.P_SEQ = P_SEQ
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return o
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@staticmethod
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@@ -275,70 +301,75 @@ class _attention(torch.autograd.Function):
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attention = _attention.apply
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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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@pytest.mark.parametrize('Z, H, N_CTX, D_HEAD, P_SEQ',
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[(4, 48, 1024, 64, 128),
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(4, 48, 2048, 64, 128),
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(4, 48, 4096, 64, 128),
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(4, 48, 8192, 64, 128),
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(4, 48, 16384, 64, 128)
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])
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@pytest.mark.parametrize('causal', [False, True])
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def test_op(Z, H, N_CTX, D_HEAD, P_SEQ, causal, dtype=torch.float16):
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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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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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sm_scale = 0.2
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q = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0., std=0.5).requires_grad_()
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k = torch.empty((Z, H, N_CTX + P_SEQ, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0., std=0.5).requires_grad_()
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v = torch.empty((Z, H, N_CTX + P_SEQ, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0., std=0.5).requires_grad_()
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sm_scale = 0.5
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dout = torch.randn_like(q)
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# reference implementation
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M = torch.tril(torch.ones((N_CTX, N_CTX), device="cuda"))
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M = torch.tril(torch.ones((N_CTX, N_CTX + P_SEQ), device="cuda"), diagonal=P_SEQ)
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p = torch.matmul(q, k.transpose(2, 3)) * sm_scale
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for z in range(Z):
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for h in range(H):
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p[:, :, M == 0] = float("-inf")
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if causal:
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p[:, :, M == 0] = float("-inf")
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p = torch.softmax(p.float(), dim=-1).half()
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# p = torch.exp(p)
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ref_out = torch.matmul(p, v)
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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_dk, k.grad = k.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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tri_out = attention(q, k, v, sm_scale)
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# print(ref_out)
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# print(tri_out)
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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_dk, k.grad = k.grad.clone(), None
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tri_dq, q.grad = q.grad.clone(), None
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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_dk, k.grad = k.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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tri_out = attention(q, k, v, causal, sm_scale).half()
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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_dk, k.grad = k.grad.clone(), None
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#tri_dq, q.grad = q.grad.clone(), None
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# compare
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assert torch.allclose(ref_out, tri_out, atol=1e-2, rtol=0)
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if torch.version.hip is None:
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assert torch.allclose(ref_dv, tri_dv, atol=1e-2, rtol=0)
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# The current block size for MI200 series is 64x64. This results in
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# larger differences in float results due to rounding.
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else:
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assert torch.allclose(ref_dv, tri_dv, atol=1e-1, rtol=0)
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assert torch.allclose(ref_dk, tri_dk, atol=1e-2, rtol=0)
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assert torch.allclose(ref_dq, tri_dq, atol=1e-2, rtol=0)
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#assert torch.allclose(ref_dv, tri_dv, atol=1e-2, rtol=0)
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#assert torch.allclose(ref_dk, tri_dk, atol=1e-2, rtol=0)
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#assert torch.allclose(ref_dq, tri_dq, atol=1e-2, rtol=0)
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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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from flash_attn.flash_attn_interface import \
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flash_attn_qkvpacked_func as flash_attn_func
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FLASH_VER = 2
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except BaseException:
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HAS_FLASH = False
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try:
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from flash_attn.flash_attn_interface import flash_attn_func
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FLASH_VER = 1
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except BaseException:
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FLASH_VER = None
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HAS_FLASH = FLASH_VER is not None
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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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|
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|
configs = [triton.testing.Benchmark(
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|
x_names=['N_CTX'],
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|
x_vals=[2**i for i in range(10, 14)],
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|
x_vals=[2**i for i in range(10, 15)],
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|
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|
line_arg='provider',
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|
line_vals=['triton'] + (['flash'] if HAS_FLASH else []),
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|
line_names=['Triton'] + (['Flash'] if HAS_FLASH else []),
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|
line_names=['Triton'] + ([f'Flash-{FLASH_VER}'] if HAS_FLASH else []),
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|
|
styles=[('red', '-'), ('blue', '-')],
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|
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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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|
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|
args={'H': N_HEADS, 'BATCH': BATCH, 'D_HEAD': D_HEAD, 'dtype': torch.float16, 'mode': mode}
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|
) for mode in ['fwd', 'bwd']]
|
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|
|
args={'H': N_HEADS, 'BATCH': BATCH, 'D_HEAD': D_HEAD, 'dtype': torch.float16, 'mode': mode, 'causal': causal}
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|
|
|
) for mode in ['fwd'] for causal in [False]]
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|
|
|
|
|
|
|
|
|
|
|
|
@triton.testing.perf_report(configs)
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|
|
|
|
def bench_flash_attention(BATCH, H, N_CTX, D_HEAD, mode, provider, dtype=torch.float16, device="cuda"):
|
|
|
|
|
def bench_flash_attention(BATCH, H, N_CTX, D_HEAD, causal, mode, provider, dtype=torch.float16, device="cuda"):
|
|
|
|
|
assert mode in ['fwd', 'bwd']
|
|
|
|
|
warmup = 25
|
|
|
|
|
rep = 100
|
|
|
|
|
@@ -347,25 +378,36 @@ def bench_flash_attention(BATCH, H, N_CTX, D_HEAD, mode, provider, dtype=torch.f
|
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|
|
|
k = torch.randn((BATCH, H, N_CTX, D_HEAD), dtype=dtype, device="cuda", requires_grad=True)
|
|
|
|
|
v = torch.randn((BATCH, H, N_CTX, D_HEAD), dtype=dtype, device="cuda", requires_grad=True)
|
|
|
|
|
sm_scale = 1.3
|
|
|
|
|
fn = lambda: attention(q, k, v, sm_scale)
|
|
|
|
|
fn = lambda: attention(q, k, v, causal, sm_scale)
|
|
|
|
|
if mode == 'bwd':
|
|
|
|
|
o = fn()
|
|
|
|
|
do = torch.randn_like(o)
|
|
|
|
|
fn = lambda: o.backward(do, retain_graph=True)
|
|
|
|
|
ms = triton.testing.do_bench(fn, warmup=warmup, rep=rep)
|
|
|
|
|
return ms
|
|
|
|
|
if provider == "flash":
|
|
|
|
|
lengths = torch.full((BATCH,), fill_value=N_CTX, device=device)
|
|
|
|
|
cu_seqlens = torch.zeros((BATCH + 1,), device=device, dtype=torch.int32)
|
|
|
|
|
cu_seqlens[1:] = lengths.cumsum(0)
|
|
|
|
|
qkv = torch.randn((BATCH * N_CTX, 3, H, D_HEAD), dtype=dtype, device=device, requires_grad=True)
|
|
|
|
|
fn = lambda: flash_attn_func(qkv, cu_seqlens, 0., N_CTX, causal=True)
|
|
|
|
|
qkv = torch.randn((BATCH, N_CTX, 3, H, D_HEAD), dtype=dtype, device=device, requires_grad=True)
|
|
|
|
|
if FLASH_VER == 1:
|
|
|
|
|
lengths = torch.full((BATCH,), fill_value=N_CTX, device=device)
|
|
|
|
|
cu_seqlens = torch.zeros((BATCH + 1,), device=device, dtype=torch.int32)
|
|
|
|
|
cu_seqlens[1:] = lengths.cumsum(0)
|
|
|
|
|
qkv = qkv.reshape(BATCH * N_CTX, 3, H, D_HEAD)
|
|
|
|
|
fn = lambda: flash_attn_func(qkv, cu_seqlens, 0., N_CTX, causal=causal)
|
|
|
|
|
elif FLASH_VER == 2:
|
|
|
|
|
fn = lambda: flash_attn_func(qkv, causal=causal)
|
|
|
|
|
else:
|
|
|
|
|
raise ValueError(f'unknown {FLASH_VER = }')
|
|
|
|
|
if mode == 'bwd':
|
|
|
|
|
o = fn()
|
|
|
|
|
do = torch.randn_like(o)
|
|
|
|
|
fn = lambda: o.backward(do, retain_graph=True)
|
|
|
|
|
ms = triton.testing.do_bench(fn, warmup=warmup, rep=rep)
|
|
|
|
|
return ms
|
|
|
|
|
flops_per_matmul = 2. * BATCH * H * N_CTX * N_CTX * D_HEAD
|
|
|
|
|
total_flops = 2 * flops_per_matmul
|
|
|
|
|
if causal:
|
|
|
|
|
total_flops *= 0.5
|
|
|
|
|
if mode == 'bwd':
|
|
|
|
|
total_flops *= 2.5 # 2.0(bwd) + 0.5(recompute)
|
|
|
|
|
return total_flops / ms * 1e-9
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
# only works on post-Ampere GPUs right now
|
|
|
|
|
|