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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 file contains the common kernels shared among different BLAS functions. This file contains
+// kernels to transpose matrices in various ways, including:
+// 1) transposing into a larger matrix by adding padding
+// 2) transposing into a smaller matrix by removing padding
+//
+// =================================================================================================
+
+// 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"(
+
+// =================================================================================================
+// Parameters set by the tuner or by the database. Here they are given a basic default value in case
+// this kernel file is used outside of the CLBlast library.
+#ifndef PADTRA_TILE
+ #define PADTRA_TILE 8 // Number of local threads in the two dimensions (x,y)
+#endif
+#ifndef PADTRA_WPT
+ #define PADTRA_WPT 1 // Amount of work per thread
+#endif
+#ifndef PADTRA_PAD
+ #define PADTRA_PAD 0 // Padding of the local memory to avoid bank-conflicts
+#endif
+
+// =================================================================================================
+
+// Same as PadCopyMatrix, but now also does the transpose
+__attribute__((reqd_work_group_size(PADTRA_TILE, PADTRA_TILE, 1)))
+__kernel void PadTransposeMatrix(const int src_one, const int src_two,
+ const int src_ld, const int src_offset,
+ __global const real* restrict src,
+ const int dest_one, const int dest_two,
+ const int dest_ld, const int dest_offset,
+ __global real* dest) {
+
+ // Local memory to store a tile of the matrix (for coalescing)
+ __local real tile[PADTRA_WPT*PADTRA_TILE][PADTRA_WPT*PADTRA_TILE + PADTRA_PAD];
+
+ // Loop over the work per thread
+ #pragma unroll
+ for (int w_one=0; w_one<PADTRA_WPT; ++w_one) {
+ #pragma unroll
+ for (int w_two=0; w_two<PADTRA_WPT; ++w_two) {
+
+ // Computes the identifiers for the source matrix. Note that the local and global dimensions
+ // do not correspond to each other!
+ const int id_src_one = (get_group_id(1)*PADTRA_WPT + w_two) * PADTRA_TILE + get_local_id(0);
+ const int id_src_two = (get_group_id(0)*PADTRA_WPT + w_one) * PADTRA_TILE + get_local_id(1);
+
+ // Loads data into the local memory if the thread IDs are within bounds of the source matrix.
+ // Otherwise, set the local memory value to zero.
+ real value;
+ SetToZero(value);
+ if (id_src_two < src_two && id_src_one < src_one) {
+ value = src[id_src_two*src_ld + id_src_one + src_offset];
+ }
+ tile[get_local_id(1)*PADTRA_WPT + w_two][get_local_id(0)*PADTRA_WPT + w_one] = value;
+ }
+ }
+
+ // Synchronizes all threads in a workgroup
+ barrier(CLK_LOCAL_MEM_FENCE);
+
+ // Loop over the work per thread
+ #pragma unroll
+ for (int w_one=0; w_one<PADTRA_WPT; ++w_one) {
+ #pragma unroll
+ for (int w_two=0; w_two<PADTRA_WPT; ++w_two) {
+
+ // Computes the identifiers for the destination matrix
+ const int id_dest_one = (get_group_id(0)*PADTRA_WPT + w_one) * PADTRA_TILE + get_local_id(0);
+ const int id_dest_two = (get_group_id(1)*PADTRA_WPT + w_two) * PADTRA_TILE + get_local_id(1);
+
+ // Stores the transposed value in the destination matrix
+ if ((id_dest_one < dest_one) && (id_dest_two < dest_two)) {
+ real value = tile[get_local_id(0)*PADTRA_WPT + w_two][get_local_id(1)*PADTRA_WPT + w_one];
+ dest[id_dest_two*dest_ld + id_dest_one + dest_offset] = value;
+ }
+ }
+ }
+}
+
+// Same as UnPadCopyMatrix, but now also does the transpose
+__attribute__((reqd_work_group_size(PADTRA_TILE, PADTRA_TILE, 1)))
+__kernel void UnPadTransposeMatrix(const int src_one, const int src_two,
+ const int src_ld, const int src_offset,
+ __global const real* restrict src,
+ const int dest_one, const int dest_two,
+ const int dest_ld, const int dest_offset,
+ __global real* dest) {
+
+ // Local memory to store a tile of the matrix (for coalescing)
+ __local real tile[PADTRA_WPT*PADTRA_TILE][PADTRA_WPT*PADTRA_TILE + PADTRA_PAD];
+
+ // Loop over the work per thread
+ #pragma unroll
+ for (int w_one=0; w_one<PADTRA_WPT; ++w_one) {
+ #pragma unroll
+ for (int w_two=0; w_two<PADTRA_WPT; ++w_two) {
+
+ // Computes the identifiers for the source matrix. Note that the local and global dimensions
+ // do not correspond to each other!
+ const int id_src_one = (get_group_id(1)*PADTRA_WPT + w_two) * PADTRA_TILE + get_local_id(0);
+ const int id_src_two = (get_group_id(0)*PADTRA_WPT + w_one) * PADTRA_TILE + get_local_id(1);
+
+ // Loads data into the local memory if the thread IDs are within bounds of the source matrix.
+ if ((id_src_one < src_one) && (id_src_two < src_two)) {
+ real value = src[id_src_two*src_ld + id_src_one + src_offset];
+ tile[get_local_id(1)*PADTRA_WPT + w_two][get_local_id(0)*PADTRA_WPT + w_one] = value;
+ }
+ }
+ }
+
+ // Synchronizes all threads in a workgroup
+ barrier(CLK_LOCAL_MEM_FENCE);
+
+ // Loop over the work per thread
+ #pragma unroll
+ for (int w_one=0; w_one<PADTRA_WPT; ++w_one) {
+ #pragma unroll
+ for (int w_two=0; w_two<PADTRA_WPT; ++w_two) {
+
+ // Computes the identifiers for the destination matrix
+ const int id_dest_one = (get_group_id(0)*PADTRA_WPT + w_one) * PADTRA_TILE + get_local_id(0);
+ const int id_dest_two = (get_group_id(1)*PADTRA_WPT + w_two) * PADTRA_TILE + get_local_id(1);
+
+ // Stores the transposed value in the destination matrix
+ if ((id_dest_one < dest_one) && (id_dest_two < dest_two)) {
+ real value = tile[get_local_id(0)*PADTRA_WPT + w_two][get_local_id(1)*PADTRA_WPT + w_one];
+ dest[id_dest_two*dest_ld + id_dest_one + dest_offset] = value;
+ }
+ }
+ }
+}
+
+// =================================================================================================
+
+// End of the C++11 raw string literal
+)";
+
+// =================================================================================================