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+
+// =================================================================================================
+// This file is part of the CLBlast project. The project is licensed under Apache Version 2.0. This
+// project loosely follows the Google C++ styleguide and uses a tab-size of two spaces and a max-
+// width of 100 characters per line.
+//
+// Author(s):
+// Cedric Nugteren <www.cedricnugteren.nl>
+//
+// This is part 3 of 3 of the GEMM kernel. See part 1 for more information.
+//
+// =================================================================================================
+
+// Enables loading of this file using the C++ pre-processor's #include (C++11 standard raw string
+// literal). Comment-out this line for syntax-highlighting when developing.
+R"(
+
+// =================================================================================================
+
+// Main body of the kernel. This is the direct version without pre/post processing and restrictions.
+inline void XgemmDirect(const int kSizeM, const int kSizeN, const int kSizeK,
+ const real_arg arg_alpha,
+ const real_arg arg_beta,
+ const __global realMD* restrict agm, const int a_offset, const int a_ld,
+ const __global realND* restrict bgm, const int b_offset, const int b_ld,
+ __global real* cgm, const int c_offset, const int c_ld,
+ __local real* alm, __local real* blm,
+ const int a_transpose, const int b_transpose, const int c_transpose,
+ const int a_conjugate, const int b_conjugate) {
+ const real alpha = GetRealArg(arg_alpha);
+ const real beta = GetRealArg(arg_beta);
+
+ // Extra pointers to scalar versions of global memory
+ const __global real* restrict agms = (const __global real* restrict) agm;
+ const __global real* restrict bgms = (const __global real* restrict) bgm;
+
+ // Allocates workitem-private memory (registers)
+ real apm[MWID];
+ real bpm[NWID];
+ real cpm[NWID][MWID];
+
+ // Initializes the accumulation registers
+ InitAccRegistersDirect(cpm);
+
+ // The faster version of GEMM is not allowed on the (incomplete) borders. Therefore, this section
+ // processes only the main parts: output blocks of WGD by WGD.
+ const int idm = get_local_id(0) * MWID + GetGroupID0() * WGD;
+ const int idn = get_local_id(1) * NWID + GetGroupID1() * WGD;
+ if ((idm < (kSizeM/WGD)*WGD) && (idn < (kSizeN/WGD)*WGD)) {
+
+ // Loops over all complete workgroup tiles (K-dimension)
+ int kwg = 0;
+ for (; kwg < (kSizeK/WGD) * WGD; kwg+=WGD) {
+
+ // Loads data: off-chip --> local (matrix A and B)
+ if (a_ld % VWMD == 0) {
+ GlobalToLocalDirectA(agm, alm, a_ld, a_offset, kwg, a_transpose, a_conjugate);
+ }
+ else {
+ GlobalToLocalScalarA(agms, alm, a_ld, a_offset, kwg, a_transpose, a_conjugate);
+ }
+ if (b_ld % VWND == 0) {
+ GlobalToLocalDirectB(bgm, blm, b_ld, b_offset, kwg, b_transpose, b_conjugate);
+ }
+ else {
+ GlobalToLocalScalarB(bgms, blm, b_ld, b_offset, kwg, b_transpose, b_conjugate);
+ }
+ barrier(CLK_LOCAL_MEM_FENCE);
+
+ // Loops over all workitem tiles, unrolled by a factor KWID
+ for (int pwi=0; pwi<WGD; pwi+=KWID) {
+ #pragma unroll
+ for (int pit=0; pit<KWID; ++pit) {
+ int kg = pwi + pit;
+
+ // Loads data: local --> private (matrix A and B)
+ LocalToPrivateDirectA(alm, apm, kg, a_transpose);
+ LocalToPrivateDirectB(blm, bpm, kg, b_transpose);
+
+ // Performs the accumulation (Cpm += Apm * Bpm)
+ MultiplyAccumulateDirect(cpm, apm, bpm);
+ }
+ }
+ barrier(CLK_LOCAL_MEM_FENCE);
+ }
+
+ // Loop over the remaining part (incomplete tile in K-dimension)
+ for (; kwg < kSizeK; ++kwg) {
+
+ // Loads data: off-chip --> private (matrix A and B)
+ GlobalToPrivateDirectA(agms, apm, a_ld, a_offset, idm, kwg, a_transpose, a_conjugate);
+ GlobalToPrivateDirectB(bgms, bpm, b_ld, b_offset, idn, kwg, b_transpose, b_conjugate);
+
+ // Performs the accumulation (Cpm += Apm * Bpm)
+ MultiplyAccumulateDirect(cpm, apm, bpm);
+ }
+
+ // Stores a tile of results and performs the multiplication with alpha and beta
+ StoreResultsDirect(cgm, cpm, idm, idn, alpha, beta, c_ld, c_offset, c_transpose);
+ }
+
+ // Simple but slower version for the parts on the edge (incomplete tiles in M and N-dimensions)
+ else {
+
+ // Loops over all complete workgroup tiles (K-dimension)
+ int kwg = 0;
+ for (; kwg < (kSizeK/WGD) * WGD; kwg+=WGD) {
+
+ // Loads data: off-chip --> local (matrix A and B)
+ GlobalToLocalCheckedA(agms, alm, a_ld, a_offset, kwg, a_transpose, a_conjugate, kSizeM, kSizeK);
+ GlobalToLocalCheckedB(bgms, blm, b_ld, b_offset, kwg, b_transpose, b_conjugate, kSizeN, kSizeK);
+ barrier(CLK_LOCAL_MEM_FENCE);
+
+ // Loops over all workitem tiles, unrolled by a factor KWID
+ for (int pwi=0; pwi<WGD; pwi+=KWID) {
+ #pragma unroll
+ for (int pit=0; pit<KWID; ++pit) {
+ int kg = pwi + pit;
+
+ // Loads data: local --> private (matrix A and B)
+ LocalToPrivateDirectA(alm, apm, kg, a_transpose);
+ LocalToPrivateDirectB(blm, bpm, kg, b_transpose);
+
+ // Performs the accumulation (Cpm += Apm * Bpm)
+ MultiplyAccumulateDirect(cpm, apm, bpm);
+ }
+ }
+ barrier(CLK_LOCAL_MEM_FENCE);
+ }
+
+ // Loop over the remaining part (incomplete tile in K-dimension)
+ for (; kwg < kSizeK; ++kwg) {
+
+ // Loads data: off-chip --> private (matrix A and B)
+ GlobalToPrivateCheckedA(agms, apm, a_ld, a_offset, idm, kwg, a_transpose, a_conjugate, kSizeM);
+ GlobalToPrivateCheckedB(bgms, bpm, b_ld, b_offset, idn, kwg, b_transpose, b_conjugate, kSizeN);
+
+ // Performs the accumulation (Cpm += Apm * Bpm)
+ MultiplyAccumulateDirect(cpm, apm, bpm);
+ }
+
+ // Stores a tile of results and performs the multiplication with alpha and beta
+ StoreResultsChecked(cgm, cpm, idm, idn, kSizeM, kSizeN, alpha, beta, c_ld, c_offset, c_transpose);
+ }
+}
+
+// =================================================================================================
+
+// Direct version of the GEMM kernel with [A, B] = [non-transposed, non-transposed]
+__attribute__((reqd_work_group_size(MDIMCD, NDIMCD, 1)))
+__kernel void XgemmDirectNN(const int kSizeM, const int kSizeN, const int kSizeK,
+ const real_arg arg_alpha, const real_arg arg_beta,
+ const __global realMD* restrict agm, const int a_offset, const int a_ld,
+ const __global realND* restrict bgm, const int b_offset, const int b_ld,
+ __global real* cgm, const int c_offset, const int c_ld,
+ const int c_transpose, const int a_conjugate, const int b_conjugate) {
+ __local real alm[WGD * (WGD + PADA)];
+ __local real blm[WGD * (WGD + PADB)];
+ XgemmDirect(kSizeM, kSizeN, kSizeK, arg_alpha, arg_beta,
+ agm, a_offset, a_ld, bgm, b_offset, b_ld, cgm, c_offset, c_ld,
+ alm, blm, 0, 0, c_transpose, a_conjugate, b_conjugate);
+}
+
+// Direct version of the GEMM kernel with [A, B] = [non-transposed, transposed]
+__attribute__((reqd_work_group_size(MDIMCD, NDIMCD, 1)))
+__kernel void XgemmDirectNT(const int kSizeM, const int kSizeN, const int kSizeK,
+ const real_arg arg_alpha, const real_arg arg_beta,
+ const __global realMD* restrict agm, const int a_offset, const int a_ld,
+ const __global realND* restrict bgm, const int b_offset, const int b_ld,
+ __global real* cgm, const int c_offset, const int c_ld,
+ const int c_transpose, const int a_conjugate, const int b_conjugate) {
+ __local real alm[WGD * (WGD + PADA)];
+ __local real blm[WGD * (WGD + PADB)];
+ XgemmDirect(kSizeM, kSizeN, kSizeK, arg_alpha, arg_beta,
+ agm, a_offset, a_ld, bgm, b_offset, b_ld, cgm, c_offset, c_ld,
+ alm, blm, 0, 1, c_transpose, a_conjugate, b_conjugate);
+}
+
+// Direct version of the GEMM kernel with [A, B] = [transposed, non-transposed]
+__attribute__((reqd_work_group_size(MDIMCD, NDIMCD, 1)))
+__kernel void XgemmDirectTN(const int kSizeM, const int kSizeN, const int kSizeK,
+ const real_arg arg_alpha, const real_arg arg_beta,
+ const __global realMD* restrict agm, const int a_offset, const int a_ld,
+ const __global realND* restrict bgm, const int b_offset, const int b_ld,
+ __global real* cgm, const int c_offset, const int c_ld,
+ const int c_transpose, const int a_conjugate, const int b_conjugate) {
+ __local real alm[WGD * (WGD + PADA)];
+ __local real blm[WGD * (WGD + PADB)];
+ XgemmDirect(kSizeM, kSizeN, kSizeK, arg_alpha, arg_beta,
+ agm, a_offset, a_ld, bgm, b_offset, b_ld, cgm, c_offset, c_ld,
+ alm, blm, 1, 0, c_transpose, a_conjugate, b_conjugate);
+}
+
+// Direct version of the GEMM kernel with [A, B] = [transposed, transposed]
+__attribute__((reqd_work_group_size(MDIMCD, NDIMCD, 1)))
+__kernel void XgemmDirectTT(const int kSizeM, const int kSizeN, const int kSizeK,
+ const real_arg arg_alpha, const real_arg arg_beta,
+ const __global realMD* restrict agm, const int a_offset, const int a_ld,
+ const __global realND* restrict bgm, const int b_offset, const int b_ld,
+ __global real* cgm, const int c_offset, const int c_ld,
+ const int c_transpose, const int a_conjugate, const int b_conjugate) {
+ __local real alm[WGD * (WGD + PADA)];
+ __local real blm[WGD * (WGD + PADB)];
+ XgemmDirect(kSizeM, kSizeN, kSizeK, arg_alpha, arg_beta,
+ agm, a_offset, a_ld, bgm, b_offset, b_ld, cgm, c_offset, c_ld,
+ alm, blm, 1, 1, c_transpose, a_conjugate, b_conjugate);
+}
+
+// =================================================================================================
+
+// End of the C++11 raw string literal
+)"
+
+// =================================================================================================