import triton import triton.language as tl @triton.jit def _fc1_bias_gelu_kernel( X_ptr, W_ptr, B_ptr, Y_ptr, M: tl.constexpr, N: tl.constexpr, K: tl.constexpr, stride_xm, stride_xk, stride_wn, stride_wk, # W is [N, K] stride_ym, stride_yn, BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, GROUP_SIZE_M: tl.constexpr ): """Kernel for computing the matmul C = A x B. A has shape (M, K), B has shape (K, N) and C has shape (M, N) """ # ----------------------------------------------------------- # Map program ids `pid` to the block of C it should compute. # This is done in a grouped ordering to promote L2 data reuse. # See above `L2 Cache Optimizations` section for details. pid = tl.program_id(axis=0) num_pid_m = tl.cdiv(M, BLOCK_SIZE_M) num_pid_n = tl.cdiv(N, BLOCK_SIZE_N) num_pid_in_group = GROUP_SIZE_M * num_pid_n group_id = pid // num_pid_in_group first_pid_m = group_id * GROUP_SIZE_M group_size_m = min(num_pid_m - first_pid_m, GROUP_SIZE_M) pid_m = first_pid_m + ((pid % num_pid_in_group) % group_size_m) pid_n = (pid % num_pid_in_group) // group_size_m # ----------------------------------------------------------- # Add some integer bound assumptions. # This helps to guide integer analysis in the backend to optimize # load/store offset address calculation tl.assume(pid_m >= 0) tl.assume(pid_n >= 0) tl.assume(stride_xm > 0) tl.assume(stride_xk > 0) tl.assume(stride_wn > 0) tl.assume(stride_wk > 0) tl.assume(stride_ym > 0) tl.assume(stride_yn > 0) # ---------------------------------------------------------- # Create pointers for the first blocks of A and B. # We will advance this pointer as we move in the K direction # and accumulate # `X_ptrs` is a block of [BLOCK_SIZE_M, BLOCK_SIZE_K] pointers # `w_ptrs` is a block of [BLOCK_SIZE_K, BLOCK_SIZE_N] pointers # See above `Pointer Arithmetic` section for details offs_xm = (pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M)) % M offs_wn = (pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N)) % N offs_k = tl.arange(0, BLOCK_SIZE_K) X_ptrs = X_ptr + (offs_xm[:, None] * stride_xm + offs_k[None, :] * stride_xk) W_ptrs = W_ptr + (offs_k[:, None] * stride_wk + offs_wn[None, :] * stride_wn) # ----------------------------------------------------------- # Iterate to compute a block of the C matrix. # We accumulate into a `[BLOCK_SIZE_M, BLOCK_SIZE_N]` block # of fp32 values for higher accuracy. # `accumulator` will be converted back to fp16 after the loop. accumulator = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) for k in range(0, tl.cdiv(K, BLOCK_SIZE_K)): # Load the next block of A and B, generate a mask by checking the K dimension. # If it is out of bounds, set it to 0. a = tl.load(X_ptrs, mask=offs_k[None, :] < K - k * BLOCK_SIZE_K, other=0.0) b = tl.load(W_ptrs, mask=offs_k[:, None] < K - k * BLOCK_SIZE_K, other=0.0) # We accumulate along the K dimension. accumulator = tl.dot(a, b, accumulator) # Advance the ptrs to the next K block. X_ptrs += BLOCK_SIZE_K * stride_xk W_ptrs += BLOCK_SIZE_K * stride_wk # Bias add (broadcast over M) b = tl.load(B_ptr + offs_wn, mask=offs_wn < N, other=0.0).to(tl.float32) accumulator = accumulator + b[None, :] # GELU(tanh) epilogue (fp32 compute) # You can fuse arbitrary activation functions here # while the accumulator is still in FP32! c0 = 0.7978845608028654 c1 = 0.044715 y = c0 * (accumulator + c1 * accumulator * accumulator * accumulator) # exp_2y = tl.exp(2.0 * y) # tanh_y = (exp_2y - 1.0) / (exp_2y + 1.0) ay = tl.abs(y) e = tl.exp(-2.0 * ay) t = (1.0 - e) / (1.0 + e) t = tl.where(y >= 0, t, -t) accumulator = 0.5 * accumulator * (1.0 + t) y = accumulator.to(tl.float16) # ----------------------------------------------------------- # Write back the block of the output matrix C with masks. offs_ym = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) offs_yn = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) Y_ptrs = Y_ptr + stride_ym * offs_ym[:, None] + stride_yn * offs_yn[None, :] Y_mask = (offs_ym[:, None] < M) & (offs_yn[None, :] < N) tl.store(Y_ptrs, y, mask=Y_mask) def fc1_bias_gelu_triton(x, w, b, BLOCK_SIZE_M=128, BLOCK_SIZE_N=128, BLOCK_SIZE_K=32, GROUP_SIZE_M=8, num_warps=8): """ x: [M, K] w: [N, K] (PyTorch Linear weight layout) b: [N] returns y: [M, N] """ import torch assert x.is_cuda and w.is_cuda and b.is_cuda M, K = x.shape N, K2 = w.shape assert K == K2 and b.shape[0] == N y = torch.empty((M, N), device=x.device, dtype=x.dtype) grid = (triton.cdiv(M, BLOCK_SIZE_M) * triton.cdiv(N, BLOCK_SIZE_N),) _fc1_bias_gelu_kernel[grid]( x, w, b, y, M=M, N=N, K=K, stride_xm=x.stride(0), stride_xk=x.stride(1), stride_wn=w.stride(0), stride_wk=w.stride(1), stride_ym=y.stride(0), stride_yn=y.stride(1), BLOCK_SIZE_M=BLOCK_SIZE_M, BLOCK_SIZE_N=BLOCK_SIZE_N, BLOCK_SIZE_K=BLOCK_SIZE_K, GROUP_SIZE_M=GROUP_SIZE_M, num_warps=num_warps ) return y import functools from torch import nn def path_linear_forward(self, hidden_state): return self.linear_fc2(fc1_bias_gelu_triton(hidden_state, self.linear_fc1.weight, self.linear_fc1.bias))