diagnostic(off, chromium.subgroup_matrix_uniformity); enable f16; enable subgroups; enable chromium_experimental_subgroup_matrix; #define DECLARE_BYTE_LOADERS_SRC0 #include "common_decls.tmpl" #include "mul_mat_decls.tmpl" // TODO: this shader path does not work with some models like qwen2.5 on Metal devices, f16 accumulation causes NaNs. // See https://github.com/ggml-org/llama.cpp/issues/21602 #ifdef VEC fn store_dst(shmem_idx: u32, dst_idx: u32) { dst[dst_idx] = vec4( f32(shmem[shmem_idx]), f32(shmem[shmem_idx + 1]), f32(shmem[shmem_idx + 2]), f32(shmem[shmem_idx + 3]) ); } #endif #ifdef SCALAR fn store_dst(shmem_idx: u32, dst_idx: u32) { dst[dst_idx] = f32(shmem[shmem_idx]); } #endif struct MulMatParams { offset_src0: u32, offset_src1: u32, offset_dst: u32, m: u32, n: u32, k: u32, stride_01: u32, stride_11: u32, stride_02: u32, stride_12: u32, stride_03: u32, stride_13: u32, bs02: u32, bs03: u32, broadcast2: u32, broadcast3: u32 }; // SRC0_TYPE and SRC1_TYPE are defined in mul_mat_decls, which is included @group(0) @binding(0) var src0: array; // M rows, K columns @group(0) @binding(1) var src1: array; // K rows, N columns (transposed) @group(0) @binding(2) var dst: array; // M rows, N columns (transposed) @group(0) @binding(3) var params: MulMatParams; const WG_M_SG_TILE_SIZE = SUBGROUP_M * SUBGROUP_MATRIX_M * SUBGROUP_MATRIX_M_SIZE; const WG_N_SG_TILE_SIZE = SUBGROUP_N * SUBGROUP_MATRIX_N * SUBGROUP_MATRIX_N_SIZE; // For portability we assume the max subgroup size, meaning some subgroups will be masked out if the // runtime subgroup size is smaller. const EXPECTED_SUBGROUPS = SUBGROUP_M * SUBGROUP_N; const TOTAL_WORKGROUP_SIZE = SUBGROUP_M * SUBGROUP_N * MAX_SUBGROUP_SIZE; const TILE_SRC0_SHMEM = TILE_K * SUBGROUP_M * SUBGROUP_MATRIX_M * SUBGROUP_MATRIX_M_SIZE; const TILE_SRC1_SHMEM = TILE_K * SUBGROUP_N * SUBGROUP_MATRIX_N * SUBGROUP_MATRIX_N_SIZE; const SG_MAT_ACCUM_SHMEM = SUBGROUP_M * SUBGROUP_MATRIX_M * SUBGROUP_N * SUBGROUP_MATRIX_N * SUBGROUP_MATRIX_M_SIZE * SUBGROUP_MATRIX_N_SIZE; // We reuse shmem for accumulation matrices const SHMEM_SIZE = max(TILE_SRC0_SHMEM + TILE_SRC1_SHMEM, SG_MAT_ACCUM_SHMEM); var shmem: array; @compute @workgroup_size(TOTAL_WORKGROUP_SIZE) fn main(@builtin(workgroup_id) wg_id: vec3, @builtin(local_invocation_id) local_id: vec3, @builtin(subgroup_id) subgroup_id: u32, @builtin(num_workgroups) num_wg: vec3) { let thread_id = local_id.x; let subgroup_m = subgroup_id % SUBGROUP_M; let subgroup_n = subgroup_id / SUBGROUP_M; let wg_m_count = (params.m + WG_M_SG_TILE_SIZE - 1) / WG_M_SG_TILE_SIZE; let wg_n_count = (params.n + WG_N_SG_TILE_SIZE - 1) / WG_N_SG_TILE_SIZE; let wg_per_matrix = wg_m_count * wg_n_count; let wg_linear = wg_id.y * num_wg.x + wg_id.x; let batch_idx = wg_linear / wg_per_matrix; let total_batches = params.bs02 * params.broadcast2 * params.bs03 * params.broadcast3; if (batch_idx >= total_batches) { return; } let wg_in_batch = wg_linear % wg_per_matrix; let wg_m = wg_in_batch % wg_m_count; let wg_n = wg_in_batch / wg_m_count; let dst2_stride = params.m * params.n; let dst3_stride = dst2_stride * params.bs02 * params.broadcast2; let dst3_idx = batch_idx / (params.bs02 * params.broadcast2); let src03_idx = dst3_idx / params.broadcast3; let src13_idx = dst3_idx; let dst2_idx = batch_idx % (params.bs02 * params.broadcast2); let src02_idx = dst2_idx / params.broadcast2; let src12_idx = dst2_idx; let src0_batch_offset = params.offset_src0 + src03_idx * params.stride_03 + src02_idx * params.stride_02; let src1_batch_offset = params.offset_src1 + src13_idx * params.stride_13 + src12_idx * params.stride_12; let offset_m = wg_m * SUBGROUP_M * SUBGROUP_MATRIX_M * SUBGROUP_MATRIX_M_SIZE; let offset_n = wg_n * SUBGROUP_N * SUBGROUP_MATRIX_N * SUBGROUP_MATRIX_N_SIZE; var acc_sg_mat : array, SUBGROUP_MATRIX_N>, SUBGROUP_MATRIX_M>; for (var k_outer = 0u; k_outer < params.k; k_outer += TILE_K) { // see mul_mat_decls.tmpl init_shmem_src0(thread_id, src0_batch_offset, offset_m, k_outer); init_shmem_src1(thread_id, src1_batch_offset, offset_n, k_outer); workgroupBarrier(); if (subgroup_id < EXPECTED_SUBGROUPS) { for (var k_inner = 0u; k_inner < TILE_K; k_inner += SUBGROUP_MATRIX_K_SIZE) { let src0_shmem_idx_base = subgroup_m * SUBGROUP_MATRIX_M * SUBGROUP_MATRIX_M_SIZE * TILE_K + k_inner; var src0_sg_mats: array, SUBGROUP_MATRIX_M>; for (var m = 0u; m < SUBGROUP_MATRIX_M; m++) { src0_sg_mats[m] = subgroupMatrixLoad>( &shmem, src0_shmem_idx_base + m * SUBGROUP_MATRIX_M_SIZE * TILE_K, false, TILE_K ); } let src1_shmem_idx_base = TILE_SRC0_SHMEM + subgroup_n * SUBGROUP_MATRIX_N * SUBGROUP_MATRIX_N_SIZE * TILE_K + k_inner; for (var n = 0u; n < SUBGROUP_MATRIX_N; n++) { let src1_sg_mat = subgroupMatrixLoad>( &shmem, src1_shmem_idx_base + n * SUBGROUP_MATRIX_N_SIZE * TILE_K, true, TILE_K ); for (var m = 0u; m < SUBGROUP_MATRIX_M; m++) { acc_sg_mat[m][n] = subgroupMatrixMultiplyAccumulate(src0_sg_mats[m], src1_sg_mat, acc_sg_mat[m][n]); } } } } workgroupBarrier(); } let dst_batch_offset = params.offset_dst + dst3_idx * dst3_stride + dst2_idx * dst2_stride; // Stage the subgroup matrix tiles into shared memory // This uses WG_M_SG_TILE_SIZE as the stride (number of columns in the workgroup tile). let WG_TILE_STRIDE = WG_M_SG_TILE_SIZE; let tile_row_base_local = subgroup_n * SUBGROUP_MATRIX_N * SUBGROUP_MATRIX_N_SIZE; let tile_col_base_local = subgroup_m * SUBGROUP_MATRIX_M * SUBGROUP_MATRIX_M_SIZE; if (subgroup_id < EXPECTED_SUBGROUPS) { // 2-5% performance hit :( for (var n = 0u; n < SUBGROUP_MATRIX_N; n++) { for (var m = 0u; m < SUBGROUP_MATRIX_M; m++) { let local_row = tile_row_base_local + n * SUBGROUP_MATRIX_N_SIZE; let local_col = tile_col_base_local + m * SUBGROUP_MATRIX_M_SIZE; let out_base = local_row * WG_TILE_STRIDE + local_col; subgroupMatrixStore(&shmem, out_base, acc_sg_mat[m][n], true, WG_TILE_STRIDE); } } } workgroupBarrier(); // Cooperative write: iterate over the entire workgroup tile let tile_rows = WG_N_SG_TILE_SIZE; let tile_cols = WG_M_SG_TILE_SIZE; let total_tile_elems = tile_rows * tile_cols; let tile_dst_row_base = wg_m * SUBGROUP_M * SUBGROUP_MATRIX_M * SUBGROUP_MATRIX_M_SIZE; let tile_dst_col_base = wg_n * SUBGROUP_N * SUBGROUP_MATRIX_N * SUBGROUP_MATRIX_N_SIZE; for (var idx = thread_id * VEC_SIZE; idx < total_tile_elems; idx += TOTAL_WORKGROUP_SIZE * VEC_SIZE) { let local_row = idx % WG_TILE_STRIDE; let local_col = idx / WG_TILE_STRIDE; let global_row = tile_dst_row_base + local_row; let global_col = tile_dst_col_base + local_col; if (global_col < params.n && global_row < params.m) { let dst_idx = dst_batch_offset + global_col * params.m + global_row; store_dst(idx, dst_idx/VEC_SIZE); } } }