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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 xgemm OpenCL kernels. There are multiple variations:
// - V==1: Kernel 0: This tests some limited set of tuning parameters exhaustively.
// - V==2: Kernel 0: This tests a much larger set of parameters by randomly sampling a subset.
// - V==11: Kernel 1: This tests some limited set of tuning parameters exhaustively.
// - V==12: Kernel 1: This tests a much larger set of 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 XgemmGetTunerDefaults(const int V) {
auto settings = TunerDefaults();
settings.options = {kArgM, kArgN, kArgK, kArgAlpha, kArgBeta, kArgFraction,
kArgHeuristicSelection, kArgPsoSwarmSize,
kArgPsoInfGlobal, kArgPsoInfLocal, kArgPsoInfRandom};
settings.default_m = 1024;
settings.default_n = 1024;
settings.default_k = 1024;
settings.default_fraction = (V == 1 || V == 11) ? 1.0 : (V == 2) ? 512.0 : 128.0; // test all or sample randomly
settings.default_num_runs = 2;
return settings;
}
// Settings for this kernel (general)
template <typename T>
TunerSettings XgemmGetTunerSettings(const int V, const Arguments<T> &args) {
auto settings = TunerSettings();
// Identification of the kernel
settings.kernel_family = "xgemm_" + ToString(V);
settings.kernel_name = "Xgemm";
settings.sources = (V == 11 || V == 12) ? "#define GEMMK 1" : "#define GEMMK 0";
settings.sources +=
#include "../src/kernels/level3/xgemm_part1.opencl"
#include "../src/kernels/level3/xgemm_part2.opencl"
;
settings.sources +=
#include "../src/kernels/level3/xgemm_part3.opencl"
#include "../src/kernels/level3/xgemm_part4.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 = {{"MDIMC", "NDIMC"}};
settings.mul_global = {{"MDIMC", "NDIMC"}};
settings.div_global = {{"MWG", "NWG"}};
// Sets the tuning parameters and their possible values
if (V == 1) { // Kernel 0: limited subset of tuning parameters - but explorable exhaustively
settings.parameters = {
{"GEMMK", {0}},
{"MWG", {16, 32, 64}},
{"NWG", {16, 32, 64}},
{"KWG", {32}},
{"MDIMC", {8, 16, 32}},
{"NDIMC", {8, 16, 32}},
{"MDIMA", {8, 16, 32}},
{"NDIMB", {8, 16, 32}},
{"KWI", {2}},
{"VWM", {1, 2, 4}},
{"VWN", {1, 2, 4}},
{"STRM", {0}},
{"STRN", {0}},
{"SA", {0, 1}},
{"SB", {0, 1}},
{"KREG", {1}}
};
}
else if (V == 2) { // Kernel 0: a lot more tuning parameters - has to be sampled randomly, too much to test all
settings.parameters = {
{"GEMMK", {0}},
{"MWG", {16, 32, 64, 128}},
{"NWG", {16, 32, 64, 128}},
{"KWG", {16, 32}},
{"MDIMC", {8, 16, 32}},
{"NDIMC", {8, 16, 32}},
{"MDIMA", {8, 16, 32}},
{"NDIMB", {8, 16, 32}},
{"KWI", {2}},
{"VWM", {1, 2, 4, 8}},
{"VWN", {1, 2, 4, 8}},
{"STRM", {0, 1}},
{"STRN", {0, 1}},
{"SA", {0, 1}},
{"SB", {0, 1}},
{"KREG", {1}}
};
}
else if (V == 11) { // Kernel 1: limited subset of tuning parameters - but explorable exhaustively
settings.parameters = {
{"GEMMK", {1}},
{"MWG", {16, 32, 64}},
{"NWG", {16, 32, 64}},
{"KWG", {1}},
{"MDIMC", {4, 8, 16}},
{"NDIMC", {4, 8, 16}},
{"MDIMA", {4, 8, 16}},
{"NDIMB", {4, 8, 16}},
{"KWI", {1}},
{"VWM", {1, 2, 4}},
{"VWN", {1, 2, 4}},
{"STRM", {0}},
{"STRN", {0}},
{"SA", {0}},
{"SB", {0}},
{"KREG", {1, 2, 4}}
};
}
else if (V == 12) { // Kernel 1: a lot more tuning parameters - has to be sampled randomly, too much to test all
settings.parameters = {
{"GEMMK", {1}},
{"MWG", {8, 16, 32, 64, 128}},
{"NWG", {8, 16, 32, 64, 128}},
{"KWG", {1}},
{"MDIMC", {2, 4, 8, 16, 32}},
{"NDIMC", {2, 4, 8, 16, 32}},
{"MDIMA", {2, 4, 8, 16, 32}},
{"NDIMB", {2, 4, 8, 16, 32}},
{"KWI", {1}},
{"VWM", {1, 2, 4, 8}},
{"VWN", {1, 2, 4, 8}},
{"STRM", {0}},
{"STRN", {0}},
{"SA", {0}},
{"SB", {0}},
{"KREG", {1, 2, 4, 8, 16}}
};
}
// 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 XgemmTestValidArguments(const int V, const Arguments<T> &args) {
const auto mwg_max = (V == 1 || V == 11) ? 64 : 128;
const auto nwg_max = (V == 1 || V == 11) ? 64 : 128;
if (!IsMultiple(args.m, mwg_max)) {
throw std::runtime_error("'Xgemm' kernel requires 'm' to be a multiple of MWG (max " + ToString(mwg_max) + ")");
}
if (!IsMultiple(args.n, nwg_max)) {
throw std::runtime_error("'Xgemm' kernel requires 'n' to be a multiple of NWG (max " + ToString(nwg_max) + ")");
}
}
std::vector<Constraint> XgemmSetConstraints(const int V) {
auto constraints = std::vector<Constraint>();
auto IsEqual = [] (std::vector<size_t> v) { return v[0] == v[1]; };
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 KWG loop
constraints.push_back({MultipleOfX, {"KWG", "KWI"}});
// Required for integer MWI and NWI
constraints.push_back({MultipleOfXMulY, {"MWG", "MDIMC", "VWM"}});
constraints.push_back({MultipleOfXMulY, {"NWG", "NDIMC", "VWN"}});
// Required for integer MWIA and NWIB
constraints.push_back({MultipleOfXMulY, {"MWG", "MDIMA", "VWM"}});
constraints.push_back({MultipleOfXMulY, {"NWG", "NDIMB", "VWN"}});
if (V == 1 || V == 2) {
// KWG has to be a multiple of KDIMA = ((MDIMC*NDIMC)/(MDIMA)) and KDIMB = (...)
constraints.push_back({MultipleOfXMulYDivZ, {"KWG", "MDIMC", "NDIMC", "MDIMA"}});
constraints.push_back({MultipleOfXMulYDivZ, {"KWG", "MDIMC", "NDIMC", "NDIMB"}});
}
if (V == 11 || V == 12) {
// KREG has to be a multiple of VWN
constraints.push_back({MultipleOfX, {"KREG", "VWN"}});
}
// Extra constraints for kernel 1 to limit the set of options significantly
if (V == 11 || V == 12) {
constraints.push_back({IsEqual, {"MDIMC", "MDIMA"}});
constraints.push_back({IsEqual, {"NDIMC", "NDIMB"}});
}
// Extra constraints for kernel 0 variation 1 to limit the set of options significantly
if (V == 1) {
constraints.push_back({IsEqual, {"MDIMC", "MDIMA"}});
constraints.push_back({IsEqual, {"NDIMC", "NDIMB"}});
constraints.push_back({IsEqual, {"SA", "SB"}});
}
// Extra constraints for kernel 1 variation 11 to limit the set of options significantly
if (V == 11) {
constraints.push_back({IsEqual, {"VWN", "VWM"}});
}
return constraints;
}
template <typename T>
LocalMemSizeInfo XgemmComputeLocalMemSize(const int) {
return {
[] (std::vector<size_t> v) -> size_t {
return GetBytes(PrecisionValue<T>()) * ((v[0]*v[1]*v[2]) + (v[3]*v[4]*v[5]));
},
{"SA", "KWG", "MWG", "SB", "KWG", "NWG"}
};
}
// Sets the kernel's arguments
template <typename T>
void XgemmSetArguments(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, buffers[3]()); // 3 == B matrix
kernel.SetArgument(7, buffers[4]()); // 4 == C matrix
kernel.SetArgument(8, 0);
kernel.SetArgument(9, 0);
}
// =================================================================================================
} // namespace clblast
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