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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 uses the auto-tuner to tune the direct xgemm kernels. There are two variations:
+// - V==1: This tests some limited set of tuning parameters exhaustively.
+// - V==2: This tests a much larger set of tuning parameters by randomly sampling a subset.
+//
+// =================================================================================================
+
+#include <string>
+#include <vector>
+
+#include "utilities/utilities.hpp"
+#include "tuning/tuning.hpp"
+
+namespace clblast {
+// =================================================================================================
+
+// Settings for this kernel (default command-line arguments)
+TunerDefaults XgemmDirectGetTunerDefaults(const int V) {
+ auto settings = TunerDefaults();
+ settings.options = {kArgM, kArgN, kArgK, kArgAlpha, kArgBeta, kArgFraction,
+ kArgHeuristicSelection, kArgPsoSwarmSize,
+ kArgPsoInfGlobal, kArgPsoInfLocal, kArgPsoInfRandom};
+ settings.default_m = 256;
+ settings.default_n = 256;
+ settings.default_k = 256;
+ settings.default_fraction = (V==1) ? 1.0 : 64.0; // test all or sample randomly
+ settings.default_num_runs = 4;
+ return settings;
+}
+
+// Settings for this kernel (general)
+template <typename T>
+TunerSettings XgemmDirectGetTunerSettings(const int V, const Arguments<T> &args) {
+ auto settings = TunerSettings();
+
+ // Identification of the kernel
+ settings.kernel_family = (V==1) ? "xgemm_direct_1" : "xgemm_direct_2";
+ settings.kernel_name = "XgemmDirectTN";
+ settings.sources =
+#include "../src/kernels/level3/xgemm_direct_part1.opencl"
+#include "../src/kernels/level3/xgemm_direct_part2.opencl"
+#include "../src/kernels/level3/xgemm_direct_part3.opencl"
+ ;
+
+ // Buffer sizes
+ settings.size_a = args.m * args.k;
+ settings.size_b = args.n * args.k;
+ settings.size_c = args.m * args.n;
+
+ // Inputs and outputs IDs (X:0, Y:1, A:2, B:3, C:4, temp:5)
+ settings.inputs = {2, 3, 4};
+ settings.outputs = {4};
+
+ // Sets the base thread configuration
+ settings.global_size = {args.m, args.n};
+ settings.global_size_ref = settings.global_size;
+ settings.local_size = {1, 1};
+ settings.local_size_ref = {8, 8};
+
+ // Transforms the thread configuration based on the parameters
+ settings.mul_local = {{"MDIMCD", "NDIMCD"}};
+ settings.mul_global = {{"MDIMCD", "NDIMCD"}};
+ settings.div_global = {{"WGD", "WGD"}};
+
+ // Sets the tuning parameters and their possible values
+ if (V==1) { // limited subset of tuning parameters - but explorable exhaustively
+ settings.parameters = {
+ {"WGD", {8, 16, 32}},
+ {"MDIMCD", {8, 16, 32}},
+ {"NDIMCD", {8, 16, 32}},
+ {"MDIMAD", {8, 16, 32}},
+ {"NDIMBD", {8, 16, 32}},
+ {"KWID", {2}},
+ {"VWMD", {1, 2, 4, 8}},
+ {"VWND", {1, 2, 4, 8}},
+ {"PADA", {1}},
+ {"PADB", {1}},
+ };
+ }
+ else { // a lot more tuning parameters - has to be sampled randomly, too much to test all
+ settings.parameters = {
+ {"WGD", {8, 16, 32, 64}},
+ {"MDIMCD", {8, 16, 32}},
+ {"NDIMCD", {8, 16, 32}},
+ {"MDIMAD", {8, 16, 32}},
+ {"NDIMBD", {8, 16, 32}},
+ {"KWID", {2, 8, 16}},
+ {"VWMD", {1, 2, 4, 8}},
+ {"VWND", {1, 2, 4, 8}},
+ {"PADA", {0, 1}},
+ {"PADB", {0, 1}},
+ };
+ }
+
+ // Describes how to compute the performance metrics
+ settings.metric_amount = 2 * args.m * args.n * args.k;
+ settings.performance_unit = "GFLOPS";
+
+ return settings;
+}
+
+// Tests for valid arguments
+template <typename T>
+void XgemmDirectTestValidArguments(const int, const Arguments<T> &) { }
+std::vector<Constraint> XgemmDirectSetConstraints(const int V) {
+ auto constraints = std::vector<Constraint>();
+ auto MultipleOfX = [] (std::vector<size_t> v) { return IsMultiple(v[0], v[1]); };
+ auto MultipleOfXMulY = [] (std::vector<size_t> v) { return IsMultiple(v[0], v[1]*v[2]); };
+ auto MultipleOfXMulYDivZ = [] (std::vector<size_t> v) { return IsMultiple(v[0], (v[1]*v[2])/v[3]); };
+ // Requirement for unrolling the WGD loop
+ constraints.push_back({MultipleOfX, {"WGD", "KWID"}});
+ // Required for integer MWID and NWID
+ constraints.push_back({MultipleOfXMulY, {"WGD", "MDIMCD", "VWMD"}});
+ constraints.push_back({MultipleOfXMulY, {"WGD", "NDIMCD", "VWND"}});
+ // Required for integer MWIAD and NWIBD
+ constraints.push_back({MultipleOfXMulY, {"WGD", "MDIMAD", "VWMD"}});
+ constraints.push_back({MultipleOfXMulY, {"WGD", "NDIMBD", "VWND"}});
+ // WGD has to be a multiple of KDIMAD = ((MDIMCD*NDIMCD)/(MDIMAD)) and KDIMBD = (...)
+ constraints.push_back({MultipleOfXMulYDivZ, {"WGD", "MDIMCD", "NDIMCD", "MDIMAD"}});
+ constraints.push_back({MultipleOfXMulYDivZ, {"WGD", "MDIMCD", "NDIMCD", "NDIMBD"}});
+
+ // Extra constraints for variation 1 to limit the set of options significantly
+ if (V==1) {
+ auto IsEqual = [] (std::vector<size_t> v) { return v[0] == v[1]; };
+ constraints.push_back({IsEqual, {"MDIMCD", "MDIMAD"}});
+ constraints.push_back({IsEqual, {"NDIMCD", "NDIMBD"}});
+ }
+ return constraints;
+}
+
+// Sets the kernel's arguments
+template <typename T>
+void XgemmDirectSetArguments(const int, Kernel &kernel, const Arguments<T> &args, std::vector<Buffer<T>>& buffers) {
+ kernel.SetArgument(0, static_cast<int>(args.m));
+ kernel.SetArgument(1, static_cast<int>(args.n));
+ kernel.SetArgument(2, static_cast<int>(args.k));
+ kernel.SetArgument(3, GetRealArg(args.alpha));
+ kernel.SetArgument(4, GetRealArg(args.beta));
+ kernel.SetArgument(5, buffers[2]()); // 2 == A matrix
+ kernel.SetArgument(6, 0); // a_offset
+ kernel.SetArgument(7, static_cast<int>(args.k)); // a_ld
+ kernel.SetArgument(8, buffers[3]()); // 3 == B matrix
+ kernel.SetArgument(9, 0); // b_offset
+ kernel.SetArgument(10, static_cast<int>(args.n)); // b_ld
+ kernel.SetArgument(11, buffers[4]()); // 4 == C matrix
+ kernel.SetArgument(12, 0); // c_offset
+ kernel.SetArgument(13, static_cast<int>(args.n)); // c_ld
+ kernel.SetArgument(14, 1); // c_do_transpose
+ kernel.SetArgument(15, 0); // a_conjugate
+ kernel.SetArgument(16, 0); // b_conjugate
+}
+
+// =================================================================================================
+} // namespace clblast