diff --git a/colossalai/kernel/cuda_native/flash_attention.py b/colossalai/kernel/cuda_native/flash_attention.py new file mode 100644 index 000000000..0731c613a --- /dev/null +++ b/colossalai/kernel/cuda_native/flash_attention.py @@ -0,0 +1,331 @@ +""" +Fused Attention +=============== +This is a Triton implementation of the Flash Attention algorithm +(see: Dao et al., https://arxiv.org/pdf/2205.14135v2.pdf; Rabe and Staats https://arxiv.org/pdf/2112.05682v2.pdf; Triton https://github.com/openai/triton) +""" + +import torch +import subprocess +import os + +try: + import triton + import triton.language as tl +except ImportError: + raise ImportError('please install triton from https://github.com/openai/triton') + +try: + from flash_attn.flash_attn_interface import flash_attn_unpadded_func +except ImportError: + raise ImportError('please install flash_attn from https://github.com/HazyResearch/flash-attention') + + +def triton_check(): + cuda_home = os.getenv("CUDA_HOME", default="/usr/local/cuda") + cuda_version = subprocess.check_output([os.path.join(cuda_home, "bin/nvcc"), "--version"]).decode().strip() + cuda_version = cuda_version.split('release ')[1] + cuda_version = cuda_version.split(',')[0] + cuda_version = cuda_version.split('.') + if len(cuda_version) == 2 and \ + (int(cuda_version[0]) == 11 and int(cuda_version[1]) >= 4) or \ + int(cuda_version[0]) > 11: + return True + return False + +TRITON_AVALIABLE = triton_check() + + +@triton.jit +def _fwd_kernel( + Q, K, V, sm_scale, + TMP, L, M, # NOTE: TMP is a scratchpad buffer to workaround a compiler bug + Out, + stride_qz, stride_qh, stride_qm, stride_qk, + stride_kz, stride_kh, stride_kn, stride_kk, + stride_vz, stride_vh, stride_vk, stride_vn, + stride_oz, stride_oh, stride_om, stride_on, + Z, H, N_CTX, + BLOCK_M: tl.constexpr, BLOCK_DMODEL: tl.constexpr, + BLOCK_N: tl.constexpr, +): + start_m = tl.program_id(0) + off_hz = tl.program_id(1) + # initialize offsets + offs_m = start_m * BLOCK_M + tl.arange(0, BLOCK_M) + offs_n = tl.arange(0, BLOCK_N) + offs_d = tl.arange(0, BLOCK_DMODEL) + off_q = off_hz * stride_qh + offs_m[:, None] * stride_qm + offs_d[None, :] * stride_qk + off_k = off_hz * stride_qh + offs_n[:, None] * stride_kn + offs_d[None, :] * stride_kk + off_v = off_hz * stride_qh + offs_n[:, None] * stride_qm + offs_d[None, :] * stride_qk + # Initialize pointers to Q, K, V + q_ptrs = Q + off_q + k_ptrs = K + off_k + v_ptrs = V + off_v + # initialize pointer to m and l + t_ptrs = TMP + off_hz * N_CTX + offs_m + m_i = tl.zeros([BLOCK_M], dtype=tl.float32) - float("inf") + l_i = tl.zeros([BLOCK_M], dtype=tl.float32) + acc = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32) + # load q: it will stay in SRAM throughout + q = tl.load(q_ptrs) + # loop over k, v and update accumulator + for start_n in range(0, (start_m + 1) * BLOCK_M, BLOCK_N): + start_n = tl.multiple_of(start_n, BLOCK_N) + # -- compute qk ---- + k = tl.load(k_ptrs + start_n * stride_kn) + qk = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32) + qk += tl.dot(q, k, trans_b=True) + qk *= sm_scale + qk += tl.where(offs_m[:, None] >= (start_n + offs_n[None, :]), 0, float("-inf")) + # -- compute m_ij, p, l_ij + m_ij = tl.max(qk, 1) + p = tl.exp(qk - m_ij[:, None]) + l_ij = tl.sum(p, 1) + # -- update m_i and l_i + m_i_new = tl.maximum(m_i, m_ij) + alpha = tl.exp(m_i - m_i_new) + beta = tl.exp(m_ij - m_i_new) + l_i_new = alpha * l_i + beta * l_ij + # -- update output accumulator -- + # scale p + p_scale = beta / l_i_new + p = p * p_scale[:, None] + # scale acc + acc_scale = l_i / l_i_new * alpha + tl.store(t_ptrs, acc_scale) + acc_scale = tl.load(t_ptrs) # BUG: have to store and immediately load + acc = acc * acc_scale[:, None] + # update acc + v = tl.load(v_ptrs + start_n * stride_vk) + p = p.to(tl.float16) + acc += tl.dot(p, v) + # update m_i and l_i + l_i = l_i_new + m_i = m_i_new + # rematerialize offsets to save registers + start_m = tl.program_id(0) + offs_m = start_m * BLOCK_M + tl.arange(0, BLOCK_M) + # write back l and m + l_ptrs = L + off_hz * N_CTX + offs_m + m_ptrs = M + off_hz * N_CTX + offs_m + tl.store(l_ptrs, l_i) + tl.store(m_ptrs, m_i) + # initialize pointers to output + offs_n = tl.arange(0, BLOCK_DMODEL) + off_o = off_hz * stride_oh + offs_m[:, None] * stride_om + offs_n[None, :] * stride_on + out_ptrs = Out + off_o + tl.store(out_ptrs, acc) + + +@triton.jit +def _bwd_preprocess( + Out, DO, L, + NewDO, Delta, + BLOCK_M: tl.constexpr, D_HEAD: tl.constexpr, +): + off_m = tl.program_id(0) * BLOCK_M + tl.arange(0, BLOCK_M) + off_n = tl.arange(0, D_HEAD) + # load + o = tl.load(Out + off_m[:, None] * D_HEAD + off_n[None, :]).to(tl.float32) + do = tl.load(DO + off_m[:, None] * D_HEAD + off_n[None, :]).to(tl.float32) + denom = tl.load(L + off_m).to(tl.float32) + # compute + do = do / denom[:, None] + delta = tl.sum(o * do, axis=1) + # write-back + tl.store(NewDO + off_m[:, None] * D_HEAD + off_n[None, :], do) + tl.store(Delta + off_m, delta) + + +@triton.jit +def _bwd_kernel( + Q, K, V, sm_scale, Out, DO, + DQ, DK, DV, + L, M, + D, + stride_qz, stride_qh, stride_qm, stride_qk, + stride_kz, stride_kh, stride_kn, stride_kk, + stride_vz, stride_vh, stride_vk, stride_vn, + Z, H, N_CTX, + num_block, + BLOCK_M: tl.constexpr, BLOCK_DMODEL: tl.constexpr, + BLOCK_N: tl.constexpr, +): + off_hz = tl.program_id(0) + off_z = off_hz // H + off_h = off_hz % H + # offset pointers for batch/head + Q += off_z * stride_qz + off_h * stride_qh + K += off_z * stride_qz + off_h * stride_qh + V += off_z * stride_qz + off_h * stride_qh + DO += off_z * stride_qz + off_h * stride_qh + DQ += off_z * stride_qz + off_h * stride_qh + DK += off_z * stride_qz + off_h * stride_qh + DV += off_z * stride_qz + off_h * stride_qh + for start_n in range(0, num_block): + lo = start_n * BLOCK_M + # initialize row/col offsets + offs_qm = lo + tl.arange(0, BLOCK_M) + offs_n = start_n * BLOCK_M + tl.arange(0, BLOCK_M) + offs_m = tl.arange(0, BLOCK_N) + offs_k = tl.arange(0, BLOCK_DMODEL) + # initialize pointers to value-like data + q_ptrs = Q + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk) + k_ptrs = K + (offs_n[:, None] * stride_kn + offs_k[None, :] * stride_kk) + v_ptrs = V + (offs_n[:, None] * stride_qm + offs_k[None, :] * stride_qk) + do_ptrs = DO + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk) + dq_ptrs = DQ + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk) + # pointer to row-wise quantities in value-like data + D_ptrs = D + off_hz * N_CTX + m_ptrs = M + off_hz * N_CTX + # initialize dv amd dk + dv = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32) + dk = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32) + # k and v stay in SRAM throughout + k = tl.load(k_ptrs) + v = tl.load(v_ptrs) + # loop over rows + for start_m in range(lo, num_block * BLOCK_M, BLOCK_M): + offs_m_curr = start_m + offs_m + # load q, k, v, do on-chip + q = tl.load(q_ptrs) + # recompute p = softmax(qk, dim=-1).T + # NOTE: `do` is pre-divided by `l`; no normalization here + qk = tl.dot(q, k, trans_b=True) + qk = tl.where(offs_m_curr[:, None] >= (offs_n[None, :]), qk, float("-inf")) + m = tl.load(m_ptrs + offs_m_curr) + p = tl.exp(qk * sm_scale - m[:, None]) + # compute dv + do = tl.load(do_ptrs) + dv += tl.dot(p.to(tl.float16), do, trans_a=True) + # compute dp = dot(v, do) + Di = tl.load(D_ptrs + offs_m_curr) + dp = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32) - Di[:, None] + dp += tl.dot(do, v, trans_b=True) + # compute ds = p * (dp - delta[:, None]) + ds = p * dp * sm_scale + # compute dk = dot(ds.T, q) + dk += tl.dot(ds.to(tl.float16), q, trans_a=True) + # # compute dq + dq = tl.load(dq_ptrs, eviction_policy="evict_last") + dq += tl.dot(ds.to(tl.float16), k) + tl.store(dq_ptrs, dq, eviction_policy="evict_last") + # # increment pointers + dq_ptrs += BLOCK_M * stride_qm + q_ptrs += BLOCK_M * stride_qm + do_ptrs += BLOCK_M * stride_qm + # write-back + dv_ptrs = DV + (offs_n[:, None] * stride_qm + offs_k[None, :] * stride_qk) + dk_ptrs = DK + (offs_n[:, None] * stride_kn + offs_k[None, :] * stride_kk) + tl.store(dv_ptrs, dv) + tl.store(dk_ptrs, dk) + + +class _TritonFlashAttention(torch.autograd.Function): + + @staticmethod + def forward(ctx, q, k, v, sm_scale): + BLOCK = 128 + # shape constraints + Lq, Lk, Lv = q.shape[-1], k.shape[-1], v.shape[-1] + assert Lq == Lk and Lk == Lv + assert Lk in {16, 32, 64, 128} + o = torch.empty_like(q) + grid = (triton.cdiv(q.shape[2], BLOCK), q.shape[0] * q.shape[1]) + tmp = torch.empty((q.shape[0] * q.shape[1], q.shape[2]), device=q.device, dtype=torch.float32) + L = torch.empty((q.shape[0] * q.shape[1], q.shape[2]), device=q.device, dtype=torch.float32) + m = torch.empty((q.shape[0] * q.shape[1], q.shape[2]), device=q.device, dtype=torch.float32) + num_warps = 4 if Lk <= 64 else 8 + + _fwd_kernel[grid]( + q, k, v, sm_scale, + tmp, L, m, + o, + q.stride(0), q.stride(1), q.stride(2), q.stride(3), + k.stride(0), k.stride(1), k.stride(2), k.stride(3), + v.stride(0), v.stride(1), v.stride(2), v.stride(3), + o.stride(0), o.stride(1), o.stride(2), o.stride(3), + q.shape[0], q.shape[1], q.shape[2], + BLOCK_M=BLOCK, BLOCK_N=BLOCK, + BLOCK_DMODEL=Lk, num_warps=num_warps, + num_stages=1, + ) + ctx.save_for_backward(q, k, v, o, L, m) + ctx.BLOCK = BLOCK + ctx.grid = grid + ctx.sm_scale = sm_scale + ctx.BLOCK_DMODEL = Lk + return o + + @staticmethod + def backward(ctx, do): + q, k, v, o, l, m = ctx.saved_tensors + do = do.contiguous() + dq = torch.zeros_like(q, dtype=torch.float32) + dk = torch.empty_like(k) + dv = torch.empty_like(v) + do_scaled = torch.empty_like(do) + delta = torch.empty_like(l) + _bwd_preprocess[(ctx.grid[0] * ctx.grid[1], )]( + o, do, l, + do_scaled, delta, + BLOCK_M=ctx.BLOCK, D_HEAD=ctx.BLOCK_DMODEL, + ) + + # NOTE: kernel currently buggy for other values of `num_warps` + num_warps = 8 + _bwd_kernel[(ctx.grid[1],)]( + q, k, v, ctx.sm_scale, + o, do_scaled, + dq, dk, dv, + l, m, + delta, + q.stride(0), q.stride(1), q.stride(2), q.stride(3), + k.stride(0), k.stride(1), k.stride(2), k.stride(3), + v.stride(0), v.stride(1), v.stride(2), v.stride(3), + q.shape[0], q.shape[1], q.shape[2], + ctx.grid[0], + BLOCK_M=ctx.BLOCK, BLOCK_N=ctx.BLOCK, + BLOCK_DMODEL=ctx.BLOCK_DMODEL, num_warps=num_warps, + num_stages=1, + ) + return dq, dk, dv, None + + +def triton_flash_attention(q, k, v, sm_scale): + """ + Arguments: + q: (batch, nheads, seq, headdim) + k: (batch, nheads, seq, headdim) + v: (batch, nheads, seq, headdim) + sm_scale: float. The scaling of QK^T before applying softmax. + Return: + out: (batch, nheads, seq, headdim) + """ + if TRITON_AVALIABLE: + return _TritonFlashAttention.apply(q, k, v, sm_scale) + else: + raise RuntimeError("Triton kernel requires CUDA 11.4+!") + + +def flash_attention(q, k, v, sm_scale, batch_size, seq_len, dropout_p=0., causal=True): + """ + Arguments: + q: (total_q, nheads, headdim), where total_q = total number of query tokens in the batch. + k: (total_k, nheads, headdim), where total_k = total number of key tokens in the batch. + v: (total_k, nheads, headdim), where total_k = total number of key tokens in the batch. + batch_size: int. + seq_len: int. + dropout_p: float. Dropout probability. + sm_scale: float. The scaling of QK^T before applying softmax. + Default to 1 / sqrt(headdim). + causal: bool. Whether to apply causal attention mask (e.g., for auto-regressive modeling). + Return: + out: (total, nheads, headdim). + """ + lengths = torch.full((batch_size,), fill_value=seq_len, device=q.device) + cu_seqlens = torch.zeros((batch_size + 1,), device=q.device, dtype=torch.int32) + cu_seqlens[1:] = lengths.cumsum(0) + return flash_attn_unpadded_func(q, k, v, cu_seqlens_q=cu_seqlens, cu_seqlens_k=cu_seqlens, max_seqlen_q=seq_len, max_seqlen_k=seq_len, + dropout_p=dropout_p, softmax_scale=sm_scale, causal=causal) diff --git a/requirements/requirements-test.txt b/requirements/requirements-test.txt index 7fd805c14..380a3f3bf 100644 --- a/requirements/requirements-test.txt +++ b/requirements/requirements-test.txt @@ -7,3 +7,6 @@ titans torchaudio torchrec contexttimer +einops +triton==2.0.0.dev20221011 +git+https://github.com/HazyResearch/flash-attention.git@c422fee3776eb3ea24e011ef641fd5fbeb212623#egg=flash_attn \ No newline at end of file diff --git a/tests/test_utils/test_flash_attention.py b/tests/test_utils/test_flash_attention.py new file mode 100644 index 000000000..2add3bcf3 --- /dev/null +++ b/tests/test_utils/test_flash_attention.py @@ -0,0 +1,82 @@ +import torch +import pytest +from einops import rearrange +from colossalai.kernel.cuda_native.flash_attention import flash_attention, triton_flash_attention, TRITON_AVALIABLE + + +def baseline_attention(Z, N_CTX, H, q, k, v, sm_scale): + M = torch.tril(torch.ones((N_CTX, N_CTX), device="cuda")) + p = torch.matmul(q, k.transpose(2, 3)) * sm_scale + for z in range(Z): + for h in range(H): + p[:, :, M == 0] = float("-inf") + p = torch.softmax(p.float(), dim=-1).half() + ref_out = torch.matmul(p, v) + return ref_out + + +@pytest.mark.parametrize('Z, H, N_CTX, D_HEAD', [(3, 2, 16, 8)]) +def test_triton_flash_attention(Z, H, N_CTX, D_HEAD, dtype=torch.float16): + torch.manual_seed(20) + q = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0, std=.5).requires_grad_() + k = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0, std=.5).requires_grad_() + v = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0, std=.5).requires_grad_() + sm_scale = 0.3 + dout = torch.randn_like(q) + + ref_out = baseline_attention(Z, N_CTX, H, q, k, v, sm_scale) + ref_out.backward(dout) + ref_dv, v.grad = v.grad.clone(), None + ref_dk, k.grad = k.grad.clone(), None + ref_dq, q.grad = q.grad.clone(), None + + # triton implementation + if TRITON_AVALIABLE: + tri_out = triton_flash_attention(q, k, v, sm_scale) + tri_out.backward(dout) + tri_dv, v.grad = v.grad.clone(), None + tri_dk, k.grad = k.grad.clone(), None + tri_dq, q.grad = q.grad.clone(), None + # compare + assert torch.allclose(ref_out, tri_out, atol=1e-3) + assert torch.allclose(ref_dv, tri_dv, atol=1e-3) + assert torch.allclose(ref_dk, tri_dk, atol=1e-3) + assert torch.allclose(ref_dq, tri_dq, atol=1e-3) + else: + try: + tri_out = flash_attention(q, k, v, sm_scale, Z, N_CTX) + except RuntimeError: + pass + else: + raise TypeError("Error type not match!") + + +@pytest.mark.parametrize('Z, H, N_CTX, D_HEAD', [(3, 2, 16, 8)]) +def test_flash_attention(Z, H, N_CTX, D_HEAD, dtype=torch.float16): + torch.manual_seed(20) + q = torch.randn((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0, std=.5).requires_grad_() + k = torch.randn((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0, std=.5).requires_grad_() + v = torch.randn((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0, std=.5).requires_grad_() + sm_scale = 0.3 + dout = torch.randn_like(q) + + # reference implementation + ref_out = baseline_attention(Z, N_CTX, H, q, k, v, sm_scale) + ref_out.backward(dout) + ref_dv, v.grad = v.grad.clone(), None + ref_dk, k.grad = k.grad.clone(), None + ref_dq, q.grad = q.grad.clone(), None + + # flash implementation + q, k, v = map(lambda x: rearrange(x, 'z h n d -> (z n) h d'), [q, k, v]) + tri_out = flash_attention(q, k, v, sm_scale, Z, N_CTX) + dout = rearrange(dout, 'z h n d -> (z n) h d').detach() + tri_out.backward(dout, retain_graph=True) + tri_dq, tri_dk, tri_dv, = torch.autograd.grad(tri_out, (q, k, v), dout) + tri_out, tri_dq, tri_dk, tri_dv = map(lambda x: rearrange(x, '(z n) h d -> z h n d', z=Z), (tri_out, tri_dq, tri_dk, tri_dv)) + + # compare + assert torch.allclose(ref_out, tri_out, atol=1e-3) + assert torch.allclose(ref_dv, tri_dv, atol=1e-3) + assert torch.allclose(ref_dk, tri_dk, atol=1e-3) + assert torch.allclose(ref_dq, tri_dq, atol=1e-3)