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examples/modified_cuda_samples/matrixMulCUBLAS/matrixMulCUBLAS.cpp
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/* | ||
* Original code Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved. | ||
* Modifications Copyright (c) 2024, Eyal Rozenberg <[email protected]> | ||
* | ||
* Redistribution and use in source and binary forms, with or without | ||
* modification, are permitted provided that the following conditions | ||
* are met: | ||
* * Redistributions of source code must retain the above copyright | ||
* notice, this list of conditions and the following disclaimer. | ||
* * Redistributions in binary form must reproduce the above copyright | ||
* notice, this list of conditions and the following disclaimer in the | ||
* documentation and/or other materials provided with the distribution. | ||
* * Neither the name of NVIDIA CORPORATION nor the names of its | ||
* contributors may be used to endorse or promote products derived | ||
* from this software without specific prior written permission. | ||
* | ||
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY | ||
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | ||
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR | ||
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, | ||
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, | ||
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR | ||
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY | ||
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | ||
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | ||
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | ||
*/ | ||
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/* | ||
* Matrix multiplication: C = A * B. | ||
* Host code. | ||
* | ||
* This sample implements matrix multiplication as described in Chapter 3 | ||
* of the programming guide and uses the CUBLAS library to demonstrate | ||
* the best performance. | ||
* SOME PRECAUTIONS: | ||
* IF WE WANT TO CALCULATE ROW-MAJOR MATRIX MULTIPLY C = A * B, | ||
* WE JUST NEED CALL CUBLAS API IN A REVERSE ORDER: cublasSegemm(B, A)! | ||
* The reason is explained as follows: | ||
* CUBLAS library uses column-major storage, but C/C++ use row-major storage. | ||
* When passing the matrix pointer to CUBLAS, the memory layout alters from | ||
* row-major to column-major, which is equivalent to an implicit transpose. | ||
* In the case of row-major C/C++ matrix A, B, and a simple matrix multiplication | ||
* C = A * B, we can't use the input order like cublasSgemm(A, B) because of | ||
* implicit transpose. The actual result of cublasSegemm(A, B) is A(T) * B(T). | ||
* If col(A(T)) != row(B(T)), equal to row(A) != col(B), A(T) and B(T) are not | ||
* multipliable. Moreover, even if A(T) and B(T) are multipliable, the result C | ||
* is a column-based cublas matrix, which means C(T) in C/C++, we need extra | ||
* transpose code to convert it to a row-based C/C++ matrix. | ||
* To solve the problem, let's consider our desired result C, a row-major matrix. | ||
* In cublas format, it is C(T) actually (because of the implicit transpose). | ||
* C = A * B, so C(T) = (A * B) (T) = B(T) * A(T). Cublas matrice B(T) and A(T) | ||
* happen to be C/C++ matrice B and A (still because of the implicit transpose)! | ||
* We don't need extra transpose code, we only need alter the input order! | ||
* | ||
* CUBLAS provides high-performance matrix multiplication. | ||
* See also: | ||
* V. Volkov and J. Demmel, "Benchmarking GPUs to tune dense linear algebra," | ||
* in Proc. 2008 ACM/IEEE Conf. on Supercomputing (SC '08), | ||
* Piscataway, NJ: IEEE Press, 2008, pp. Art. 31:1-11. | ||
*/ | ||
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#include <cublas_v2.h> | ||
#include "../../common.hpp" | ||
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// Optional Command-line multiplier for matrix sizes | ||
typedef struct _matrixSize { | ||
unsigned int uiWA, uiHA, uiWB, uiHB, uiWC, uiHC; | ||
} sMatrixSize; | ||
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//////////////////////////////////////////////////////////////////////////////// | ||
//! Compute reference data set matrix multiply on CPU | ||
//! C = A * B | ||
//! @param C reference data, computed but preallocated | ||
//! @param A matrix A as provided to device | ||
//! @param B matrix B as provided to device | ||
//! @param hA height of matrix A | ||
//! @param wB width of matrix B | ||
//////////////////////////////////////////////////////////////////////////////// | ||
void matrixMulCPU(float *C, const float *A, const float *B, unsigned int hA, | ||
unsigned int wA, unsigned int wB) | ||
{ | ||
for (unsigned int i = 0; i < hA; ++i) | ||
for (unsigned int j = 0; j < wB; ++j) { | ||
double sum = 0; | ||
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for (unsigned int k = 0; k < wA; ++k) { | ||
double a = A[i * wA + k]; | ||
double b = B[k * wB + j]; | ||
sum += a * b; | ||
} | ||
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C[i * wB + j] = (float) sum; | ||
} | ||
} | ||
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inline bool compare_l2_norm( | ||
cuda::span<float const> reference, | ||
cuda::span<const float> data, | ||
float const epsilon) | ||
{ | ||
if (reference.size() != data.size()) { | ||
std::cerr << "Sizes of two spans to be compared - differ."; | ||
exit(EXIT_FAILURE); | ||
} | ||
assert_(epsilon >= 0); | ||
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float error = 0; | ||
float ref = 0; | ||
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for (unsigned int i = 0; i < data.size(); ++i) { | ||
float diff = reference[i] - data[i]; | ||
error += diff * diff; | ||
ref += reference[i] * reference[i]; | ||
} | ||
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float normRef = ::sqrtf(ref); | ||
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if (fabs(ref) < 1e-7) { | ||
std::cerr << "ERROR, reference l2-norm is 0\n"; | ||
exit(EXIT_FAILURE); | ||
} | ||
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float normError = ::sqrtf(error); | ||
error = normError / normRef; | ||
bool result = error < epsilon; | ||
if (not result) { | ||
std::cerr << "ERROR, L2-norm error " << error << " is greater than epsilon " << epsilon << "\n"; | ||
} | ||
return result; | ||
} | ||
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sMatrixSize initialize_matrix_dimensions() | ||
{ | ||
auto matrix_size_multiplier{5}; | ||
sMatrixSize matrix_dims; | ||
int block_size{32}; | ||
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matrix_dims.uiWA = 3 * block_size * matrix_size_multiplier; | ||
matrix_dims.uiHA = 4 * block_size * matrix_size_multiplier; | ||
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matrix_dims.uiWB = 2 * block_size * matrix_size_multiplier; | ||
matrix_dims.uiHB = 3 * block_size * matrix_size_multiplier; | ||
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matrix_dims.uiWC = 2 * block_size * matrix_size_multiplier; | ||
matrix_dims.uiHC = 4 * block_size * matrix_size_multiplier; | ||
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std::cout | ||
<< "MatrixA(" << matrix_dims.uiHA << ',' << matrix_dims.uiWA << "), " | ||
<< "MatrixB(" << matrix_dims.uiHB << ',' << matrix_dims.uiWB << "), " | ||
<< "MatrixC(" << matrix_dims.uiHC << ',' << matrix_dims.uiWC << ")\n"; | ||
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if (matrix_dims.uiWA != matrix_dims.uiHB || | ||
matrix_dims.uiHA != matrix_dims.uiHC || | ||
matrix_dims.uiWB != matrix_dims.uiWC) { | ||
printf("ERROR: Matrix sizes do not match!\n"); | ||
exit(EXIT_FAILURE); | ||
} | ||
return matrix_dims; | ||
} | ||
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void multiply_and_time_with_cublas( | ||
cuda::device_t device, | ||
cuda::span<float> d_A, | ||
cuda::span<float> d_B, | ||
cuda::span<float> d_C, | ||
cuda::span<float> h_CUBLAS, | ||
sMatrixSize matrix_dims, | ||
int num_iterations) | ||
{ | ||
std::cout << "Computing result using CUBLAS... "; | ||
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const float alpha = 1.0f; | ||
const float beta = 0.0f; | ||
cublasHandle_t handle; | ||
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cublasCreate(&handle); | ||
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// Perform warmup operation with cublas | ||
cublasSgemm( | ||
handle, CUBLAS_OP_N, CUBLAS_OP_N, | ||
matrix_dims.uiWB, matrix_dims.uiHA, matrix_dims.uiWA, // m, n, k | ||
&alpha, d_B.data(), | ||
matrix_dims.uiWB, // lda | ||
d_A.data(), | ||
matrix_dims.uiWA, // ldb | ||
&beta, | ||
d_C.data(), | ||
matrix_dims.uiWB // ldc | ||
); | ||
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// Allocate CUDA events that we'll use for timing | ||
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// Record the start event | ||
auto stream = device.default_stream(); | ||
auto start = stream.enqueue.event(); | ||
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for (int iteration_index = 0; iteration_index < num_iterations; iteration_index++) { | ||
// note cublas is column primary! | ||
// need to transpose the order | ||
cublasSgemm( | ||
handle, CUBLAS_OP_N, CUBLAS_OP_N, matrix_dims.uiWB, matrix_dims.uiHA, | ||
matrix_dims.uiWA, &alpha, d_B.data(), matrix_dims.uiWB, d_A.data(), | ||
matrix_dims.uiWA, &beta, d_C.data(), matrix_dims.uiWB); | ||
} | ||
auto end = stream.enqueue.event(); | ||
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std::cout << "done.\n"; | ||
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// Wait for the stop event to complete | ||
end.synchronize(); | ||
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auto total = cuda::event::time_elapsed_between(start, end); | ||
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// Compute and print the performance | ||
auto msec_per_iteration = total.count() / num_iterations; | ||
double ops_per_multiplication = 2.0 * (double) matrix_dims.uiHC * | ||
(double) matrix_dims.uiWC * | ||
(double) matrix_dims.uiHB; | ||
double giga_ops_per_second = | ||
(ops_per_multiplication * 1.0e-9f) / (msec_per_iteration / 1000.0f); | ||
printf("Performance= %.2f GFlop/s, Time= %.3f msec, Size= %.0f Ops\n", | ||
giga_ops_per_second, msec_per_iteration, ops_per_multiplication); | ||
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cuda::memory::copy(h_CUBLAS, d_C); | ||
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// Destroy the handle | ||
cublasDestroy(handle); | ||
} | ||
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//////////////////////////////////////////////////////////////////////////////// | ||
//! Run a simple test matrix multiply using CUBLAS | ||
//////////////////////////////////////////////////////////////////////////////// | ||
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int main(int argc, char **argv) | ||
{ | ||
std::cout << "[Matrix Multiply CUBLAS] - Starting...\n"; | ||
auto device_id = choose_device(argc, argv); | ||
auto device = cuda::device::get(device_id); | ||
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std::cout << "GPU Device " << device_id << ": \"" << device.name() << "\" " | ||
<< "with compute capability " << device.compute_capability() << '\n'; | ||
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auto matrix_dims = initialize_matrix_dimensions(); | ||
int num_iterations = 30; | ||
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auto size_A = matrix_dims.uiWA * matrix_dims.uiHA; | ||
auto size_B = matrix_dims.uiWB * matrix_dims.uiHB; | ||
auto size_C = matrix_dims.uiWC * matrix_dims.uiHC; | ||
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auto h_A = cuda::make_unique_span<float>(size_A); | ||
auto h_B = cuda::make_unique_span<float>(size_B); | ||
auto h_CUBLAS_result = cuda::make_unique_span<float>(size_C); | ||
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// set seed for rand() | ||
srand(2006); | ||
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// initialize host memory | ||
auto generator = []() { return rand() / (float) RAND_MAX; }; | ||
std::generate(h_A.begin(), h_A.end(), generator); | ||
std::generate(h_B.begin(), h_B.end(), generator); | ||
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// allocate device memory | ||
auto d_A = cuda::memory::make_unique_span<float>(device, size_A); | ||
auto d_B = cuda::memory::make_unique_span<float>(device, size_B); | ||
auto d_C = cuda::memory::make_unique_span<float>(device, size_C); | ||
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cuda::memory::copy(d_A, h_A); | ||
cuda::memory::copy(d_B, h_B); | ||
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multiply_and_time_with_cublas(device, d_A, d_B, d_C, h_CUBLAS_result, matrix_dims, num_iterations); | ||
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// compute reference solution | ||
std::cout << "Computing result using host CPU... "; | ||
auto h_CPU_result = cuda::make_unique_span<float>(size_C); | ||
matrixMulCPU(h_CPU_result.data(), h_A.data(), h_B.data(), matrix_dims.uiHA, matrix_dims.uiWA, matrix_dims.uiWB); | ||
std::cout << "done.\n"; | ||
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bool about_equal = compare_l2_norm(h_CPU_result, h_CUBLAS_result, 1.0e-6f); | ||
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std::cout << "CUBLAS Matrix Multiply is close enough to CPU results: " << (about_equal ? "Yes" : "No") << '\n'; | ||
std::cout << (about_equal ? "SUCCESS" : "FAILURE") << '\n'; | ||
} |