#ifndef _FLASH_IMPL_H_ #define _FLASH_IMPL_H_ #include #include #define B_ROW 64 #define B_COL 64 #define HEADDIM 64 constexpr uint32_t ROWMAX_SETS = 3; constexpr bool DEBUG = true; constexpr bool WARP_SPECIALIZED = true; constexpr uint32_t DEV_FAKE_SMEM_START_ADDR = 0xf0000000; constexpr bool GEMMINI_DMA_FAST = false; constexpr bool Q_IS_K_MAJOR = true; // temporary safety stop for wrong configs static_assert(NUM_CORES == 4); static_assert(NUM_THREADS == 8); static_assert(NUM_WARPS == 8); inline void thread_block_init_sharedmem(const uint32_t tid_in_threadblock, const uint32_t threads_per_threadblock, float *smem_O, float *smem_rowmax, float *smem_rowsum, float *smem_O_row_scale) { asm volatile("threadblock_init_sharedmem_start_%=:" ::); const uint32_t tid_in_warp = tid_in_threadblock % NUM_THREADS; const uint32_t warp_id = tid_in_threadblock / NUM_THREADS; const uint32_t warps_in_threadblock = threads_per_threadblock / NUM_THREADS; static_assert((B_ROW % NUM_THREADS) == 0, "B_ROW must be a multiple of NUM_THREADS"); static_assert(B_ROW < (NUM_THREADS * CORES_PER_CLUSTER * (NUM_WARPS / (WARP_SPECIALIZED ? 2 : 1))), "not enough warps to initialize rowmax/rowsum"); // each thread initializes one element in rowmax/rowsum // multiple warps participate for the whole vector constexpr uint32_t needed_warps = B_ROW / NUM_THREADS; if (warp_id < needed_warps /* more warps in HW than needed? */) { uint32_t offset = NUM_THREADS * warp_id + tid_in_warp; #pragma GCC unroll for (int i = 0; i < ROWMAX_SETS; i++) { smem_rowmax[offset + i * ROWMAX_SETS] = FLT_MIN; } smem_rowsum[offset] = 0.0f; smem_O_row_scale[offset] = 0.0f; } // each warp clears out a row of smem_O // FIXME: dedup this pattern #pragma GCC unroll 1 for (int row_offset = 0; row_offset < B_COL; row_offset += warps_in_threadblock) { const uint32_t row = row_offset + warp_id; uint32_t thread_offset = HEADDIM * row + tid_in_warp; constexpr uint32_t per_row_iter = HEADDIM / NUM_THREADS; const float one = 0.0f; #pragma GCC unroll for (int i = 0; i < per_row_iter; i++) { smem_O[thread_offset] = 0.0f; thread_offset += NUM_THREADS; } } asm volatile("threadblock_init_sharedmem_finish_%=:" ::); } inline void thread_block_copy_rowmax(const float *src, float *dest, const uint32_t tid_in_threadblock, const uint32_t threads_per_threadblock, const uint32_t threadblock_id_in_cluster) { asm volatile("threadblock_copy_rowmax_start_%=:" ::); const uint32_t tid_in_warp = tid_in_threadblock % NUM_THREADS; const uint32_t warp_id = tid_in_threadblock / NUM_THREADS; const uint32_t warps_in_threadblock = threads_per_threadblock / NUM_THREADS; const uint32_t warps_per_threadblock_per_core = warps_in_threadblock / CORES_PER_CLUSTER; // each thread copies one element in rowmax // multiple warps participate for the whole vector constexpr uint32_t num_warps = B_ROW / NUM_THREADS; if (warp_id < num_warps) { uint32_t offset = NUM_THREADS * warp_id + tid_in_warp; dest[offset] = src[offset]; } threadblock_barrier(threadblock_id_in_cluster, warps_per_threadblock_per_core); asm volatile("threadblock_copy_rowmax_finish_%=:" ::); } template inline void thread_block_copy_tile(const float *src, float *dest, const uint32_t tid_in_threadblock, const uint32_t threads_per_threadblock, const uint32_t threadblock_id_in_cluster) { asm volatile("threadblock_copy_tile_start_%=:" ::); const uint32_t tid_in_warp = tid_in_threadblock % NUM_THREADS; const uint32_t warp_id = tid_in_threadblock / NUM_THREADS; const uint32_t warps_in_threadblock = threads_per_threadblock / NUM_THREADS; const uint32_t warps_per_threadblock_per_core = warps_in_threadblock / CORES_PER_CLUSTER; // FIXME: dedup this pattern #pragma GCC unroll 1 for (int row_offset = 0; row_offset < dim_row; row_offset += warps_in_threadblock) { const uint32_t row = row_offset + warp_id; const uint32_t first_thread_offset = dim_col * row; constexpr uint32_t per_row_iter = dim_col / NUM_THREADS; uint32_t thread_offset = first_thread_offset + tid_in_warp; #pragma GCC unroll for (int i = 0; i < per_row_iter; i++) { dest[thread_offset] = src[thread_offset]; thread_offset += NUM_THREADS; } threadblock_barrier(threadblock_id_in_cluster, warps_per_threadblock_per_core); } asm volatile("threadblock_copy_tile_finish_%=:" ::); } template inline float exponential_taylor_term(const float x) { asm volatile("exponential_taylor_term_start_%=:" ::); float res = 1.0f; if constexpr (order == 1) { res = x; } else if constexpr (order == 2) { res = x * x; res /= 2.0f; } else if constexpr (order == 3) { res = x * x * x; res /= 6.0f; } asm volatile("exponential_taylor_term_end_%=:" ::); return res; } __attribute__((always_inline)) inline void thread_block_online_softmax( const float *smem_S, float *smem_P, const uint32_t tid_in_threadblock, const uint32_t threads_per_threadblock, const uint32_t threadblock_id_in_cluster, float *smem_scratchpad, float *smem_rowmax, float *smem_rowsum, float *smem_O_row_scale) { asm volatile("thread_block_online_softmax_start_%=:" ::); const uint32_t tid_in_warp = tid_in_threadblock % NUM_THREADS; const uint32_t warp_id = tid_in_threadblock / NUM_THREADS; const uint32_t warps_in_threadblock = threads_per_threadblock / NUM_THREADS; const uint32_t warps_per_threadblock_per_core = warps_in_threadblock / CORES_PER_CLUSTER; float *smem_rowmax_this = smem_rowmax + B_ROW; #pragma GCC unroll 1 for (int row_offset = 0; row_offset < B_ROW; row_offset += warps_in_threadblock) { const uint32_t row = row_offset + warp_id; const uint32_t first_thread_offset = B_COL * row; // rowmax // // two-level tree reduction: reduce each row into NUM_THREADS intermediate // maxes, then reduce it down to one row max // one warp handles one row in tile constexpr uint32_t per_row_iter = B_COL / NUM_THREADS; uint32_t thread_offset = first_thread_offset + tid_in_warp; // FIXME: threadblock_id needs to be in here too float *warp_smem = smem_scratchpad + (warp_id * NUM_THREADS); // #define DUMB_ROWMAX #ifdef DUMB_ROWMAX // FIXME remove threadblock_barrier(threadblock_id_in_cluster, warps_per_threadblock_per_core); // no tree reduction; a single thread in a warp does serialized max across // the entire row if (tid_in_warp == 0) { float rowmax = smem_S[first_thread_offset]; #pragma GCC unroll 16 for (int i = 0; i < B_COL; i++) { asm volatile("fmax.s %0, %1, %2" : "=f"(rowmax) : "f"(rowmax), "f"(smem_S[first_thread_offset + i])); } smem_rowmax_this[row] = rowmax; // update previous rowmax // i.e. mi_new = max(mi, mij) float prev_rowmax = smem_rowmax[row]; // stage prev rowmax in scratchpad for warp-wide broadcast warp_smem[0] = prev_rowmax; asm volatile("fmax.s %0, %1, %2" : "=f"(rowmax) : "f"(rowmax), "f"(prev_rowmax)); smem_rowmax[row] = rowmax; } #else static_assert((B_COL % NUM_THREADS) == 0, "B_COL must be a multiple of NUM_THREADS"); float per_thread_max = FLT_MIN; #pragma GCC unroll for (int i = 0; i < per_row_iter; i++) { const float next = smem_S[thread_offset]; asm volatile("fmax.s %0, %1, %2" : "=f"(per_thread_max) : "f"(per_thread_max), "f"(next)); thread_offset += NUM_THREADS; } // stage per-thread max value in smem warp_smem[tid_in_warp] = per_thread_max; // sync writes to warp_smem threadblock_barrier(threadblock_id_in_cluster, warps_per_threadblock_per_core); // #define PARALLEL_ROWMAX #ifndef PARALLEL_ROWMAX // elect 0-th thread to reduce all other thread's values in the warp if (tid_in_warp == 0) { float rowmax = per_thread_max; for (int i = 1; i < NUM_THREADS; i++) { float other = warp_smem[i]; asm volatile("fmax.s %0, %1, %2" : "=f"(rowmax) : "f"(rowmax), "f"(other)); } smem_rowmax_this[row] = rowmax; // update previous rowmax // i.e. mi_new = max(mi, mij) float prev_rowmax = smem_rowmax[row]; // stage prev rowmax in scratchpad for warp-wide broadcast warp_smem[0] = prev_rowmax; asm volatile("fmax.s %0, %1, %2" : "=f"(rowmax) : "f"(rowmax), "f"(prev_rowmax)); smem_rowmax[row] = rowmax; } #else if (warp_id < warps_in_threadblock / NUM_THREADS) { const uint32_t row = row_offset + NUM_THREADS * warp_id + tid_in_warp; float *const thread_smem = smem_scratchpad + (tid_in_warp * NUM_THREADS); float rowmax = FLT_MIN; #pragma GCC unroll for (int i = 0; i < NUM_THREADS; i++) { const float f = thread_smem[i]; asm volatile("fmax.s %0, %1, %2" : "=f"(rowmax) : "f"(rowmax), "f"(f)); } smem_rowmax_this[row] = rowmax; // update previous rowmax // i.e. mi_new = max(mi, mij) float prev_rowmax = smem_rowmax[row]; // stage prev rowmax in scratchpad for warp-wide broadcast thread_smem[0] = prev_rowmax; asm volatile("fmax.s %0, %1, %2" : "=f"(rowmax) : "f"(rowmax), "f"(prev_rowmax)); smem_rowmax[row] = rowmax; } #endif // PARALLEL_ROWMAX #endif // DUMB_ROWMAX threadblock_barrier(threadblock_id_in_cluster, warps_per_threadblock_per_core); // broadcast prev rowmax to all threads in the warp // NOTE: memory consistency is a little sketchy here const float rowmax_prev = warp_smem[0]; const float rowmax_this = smem_rowmax_this[row]; // exponential // // B_ROW / (B_ROW * B_COL / (exp_elem * threads_per_threadblock)) // const uint32_t row_stride = // (exp_elem_per_thread * threads_per_threadblock) / B_COL; // broadcast updated rowmax to all threads in the warp const float rowmax_new = smem_rowmax[row]; asm volatile("flashattn_exp_p_start_%=:" ::); thread_offset = first_thread_offset + tid_in_warp; #pragma GCC unroll for (int i = 0; i < per_row_iter; i++) { float f0 = smem_S[thread_offset]; f0 -= rowmax_new; // 2nd-order Taylor approximation float exp = 1.0f; exp += exponential_taylor_term<1>(f0); exp += exponential_taylor_term<2>(f0); // Store S transposed to the shared memory smem_P[thread_offset] = exp; thread_offset += NUM_THREADS; } asm volatile("flashattn_exp_p_end_%=:" ::); threadblock_barrier(threadblock_id_in_cluster, warps_per_threadblock_per_core); // rowsum // // two-level tree reduction, similar to rowmax asm volatile("flashattn_rowsum_start_%=:" ::); float per_thread_sum = 0.0f; thread_offset = first_thread_offset + tid_in_warp; #pragma GCC unroll for (int i = 0; i < per_row_iter; i++) { per_thread_sum += smem_P[thread_offset]; thread_offset += NUM_THREADS; } // stage per-thread sum value in smem // FIXME: threadblock_id needs to be in here too warp_smem = smem_scratchpad + (warp_id * NUM_THREADS); warp_smem[tid_in_warp] = per_thread_sum; // sync writes to warp_smem threadblock_barrier(threadblock_id_in_cluster, warps_per_threadblock_per_core); // 0-th thread collects all other thread's values in the warp if (tid_in_warp == 0) { float rowsum = per_thread_sum; for (int iter = 1; iter < NUM_THREADS; iter++) { float other = warp_smem[iter]; rowsum += other; } const float mi_prev = rowmax_prev; const float mi_this = rowmax_this; const float x = mi_prev - mi_this; // 2nd-order Taylor approximation float exp = 1.0f; exp += exponential_taylor_term<1>(x); exp += exponential_taylor_term<2>(x); // update rowsum const float rowsum_prev = smem_rowsum[row]; float rowsum_new = exp * rowsum_prev + rowsum; smem_rowsum[row] = rowsum_new; } asm volatile("flashattn_rowsum_end_%=:" ::); threadblock_barrier(threadblock_id_in_cluster, warps_per_threadblock_per_core); // compute Oi rescale factor // FIXME: parallelize this across threads // asm volatile("flashattn_rescale_factor_start_%=:" ::); thread_offset = first_thread_offset + tid_in_warp; #pragma GCC unroll for (int i = 0; i < per_row_iter; i++) { const float mi_prev = rowmax_prev; const float mi_new = rowmax_new; const float x = mi_prev - mi_new; // 2nd-order Taylor approximation float exp = 1.0f; exp += exponential_taylor_term<1>(x); exp += exponential_taylor_term<2>(x); // @perf: div vs. expansion on e(-x)? smem_O_row_scale[row] = 1.0f / exp; thread_offset += NUM_THREADS; } asm volatile("flashattn_rescale_factor_end_%=:" ::); threadblock_barrier(threadblock_id_in_cluster, warps_per_threadblock_per_core); } asm volatile("thread_block_online_softmax_finish_%=:" ::); } __attribute__((always_inline)) inline void thread_block_O_rescale( const float *smem_O_in, float *smem_O_out, const float *smem_O_row_scale, const uint32_t tid_in_threadblock, const uint32_t threads_per_threadblock, const uint32_t threadblock_id_in_cluster) { asm volatile("thread_block_O_rescale_start_%=:" ::); const uint32_t tid_in_warp = tid_in_threadblock % NUM_THREADS; const uint32_t warp_id = tid_in_threadblock / NUM_THREADS; const uint32_t warps_in_threadblock = threads_per_threadblock / NUM_THREADS; const uint32_t warps_per_threadblock_per_core = warps_in_threadblock / CORES_PER_CLUSTER; #pragma GCC unroll 1 for (int row_offset = 0; row_offset < B_ROW; row_offset += warps_in_threadblock) { const uint32_t row = row_offset + warp_id; const uint32_t first_thread_offset = B_COL * row; constexpr uint32_t per_row_iter = B_COL / NUM_THREADS; uint32_t thread_offset = first_thread_offset + tid_in_warp; // Oi rescale // #pragma GCC unroll for (int i = 0; i < per_row_iter; i++) { const float o = smem_O_in[thread_offset]; const float scale = smem_O_row_scale[row]; smem_O_out[thread_offset] = (o * scale); thread_offset += NUM_THREADS; } } asm volatile("thread_block_O_rescale_finish_%=:" ::); } #endif