mirror of
https://github.com/NVIDIA/cuda-samples.git
synced 2026-10-26 06:38:16 +08:00
CUDA 13.2 samples update (#432)
- Added Python samples for CUDA Python 1.0 release - Renamed top-level `Samples` directory to `cpp` to accommodate Python samples.
This commit is contained in:
18
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/.vscode/c_cpp_properties.json
vendored
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18
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/.vscode/c_cpp_properties.json
vendored
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@@ -0,0 +1,18 @@
|
||||
{
|
||||
"configurations": [
|
||||
{
|
||||
"name": "Linux",
|
||||
"includePath": [
|
||||
"${workspaceFolder}/**",
|
||||
"${workspaceFolder}/../../../Common"
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],
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"defines": [],
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"compilerPath": "/usr/local/cuda/bin/nvcc",
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"cStandard": "gnu17",
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||||
"cppStandard": "gnu++14",
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||||
"intelliSenseMode": "linux-gcc-x64",
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||||
"configurationProvider": "ms-vscode.makefile-tools"
|
||||
}
|
||||
],
|
||||
"version": 4
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||||
}
|
||||
7
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/.vscode/extensions.json
vendored
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7
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/.vscode/extensions.json
vendored
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@@ -0,0 +1,7 @@
|
||||
{
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||||
"recommendations": [
|
||||
"nvidia.nsight-vscode-edition",
|
||||
"ms-vscode.cpptools",
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||||
"ms-vscode.makefile-tools"
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||||
]
|
||||
}
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||||
43
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/CMakeLists.txt
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43
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/CMakeLists.txt
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cmake_minimum_required(VERSION 3.20)
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list(APPEND CMAKE_MODULE_PATH "${CMAKE_CURRENT_SOURCE_DIR}/../../../cmake/Modules")
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project(simpleCUBLAS_LU LANGUAGES CXX)
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find_package(CUDAToolkit REQUIRED)
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set(CMAKE_POSITION_INDEPENDENT_CODE ON)
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set(CMAKE_CUDA_ARCHITECTURES 75 80 86 87 89 90 100 110 120)
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set(CMAKE_CUDA_FLAGS "${CMAKE_CUDA_FLAGS} -Wno-deprecated-gpu-targets")
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if(ENABLE_CUDA_DEBUG)
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set(CMAKE_CUDA_FLAGS "${CMAKE_CUDA_FLAGS} -G") # enable cuda-gdb (may significantly affect performance on some targets)
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else()
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set(CMAKE_CUDA_FLAGS "${CMAKE_CUDA_FLAGS} -lineinfo") # add line information to all builds for debug tools (exclusive to -G option)
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endif()
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# Include directories and libraries
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include_directories(../../../Common)
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# Source file
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# Add target for simpleCUBLAS_LU
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add_executable(simpleCUBLAS_LU simpleCUBLAS_LU.cpp)
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target_compile_options(simpleCUBLAS_LU PRIVATE $<$<COMPILE_LANGUAGE:CUDA>:--extended-lambda>)
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target_compile_features(simpleCUBLAS_LU PRIVATE cxx_std_17 cuda_std_17)
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set_target_properties(simpleCUBLAS_LU PROPERTIES CUDA_SEPARABLE_COMPILATION ON)
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target_include_directories(simpleCUBLAS_LU PRIVATE
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${CUDAToolkit_INCLUDE_DIRS}
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)
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target_link_libraries(simpleCUBLAS_LU PRIVATE
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CUDA::cudart
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CUDA::cublas
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)
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# Include installation configuration
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include(${CMAKE_CURRENT_SOURCE_DIR}/../../../cmake/InstallSamples.cmake)
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setup_samples_install()
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36
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/README.md
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36
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/README.md
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@@ -0,0 +1,36 @@
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# simpleCUBLAS_LU - Simple CUBLAS LU
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## Description
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CUDA sample demonstrating cuBLAS API cublasDgetrfBatched() for lower-upper (LU) decomposition of a matrix.
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## Key Concepts
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CUBLAS Library, LU decomposition
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|
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## Supported SM Architectures
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||||
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||||
[SM 5.0 ](https://developer.nvidia.com/cuda-gpus) [SM 5.2 ](https://developer.nvidia.com/cuda-gpus) [SM 5.3 ](https://developer.nvidia.com/cuda-gpus) [SM 6.0 ](https://developer.nvidia.com/cuda-gpus) [SM 6.1 ](https://developer.nvidia.com/cuda-gpus) [SM 7.0 ](https://developer.nvidia.com/cuda-gpus) [SM 7.2 ](https://developer.nvidia.com/cuda-gpus) [SM 7.5 ](https://developer.nvidia.com/cuda-gpus) [SM 8.0 ](https://developer.nvidia.com/cuda-gpus) [SM 8.6 ](https://developer.nvidia.com/cuda-gpus) [SM 8.7 ](https://developer.nvidia.com/cuda-gpus) [SM 8.9 ](https://developer.nvidia.com/cuda-gpus) [SM 9.0 ](https://developer.nvidia.com/cuda-gpus)
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|
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## Supported OSes
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Linux, Windows
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## Supported CPU Architecture
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x86_64, aarch64
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## CUDA APIs involved
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### [CUDA Runtime API](http://docs.nvidia.com/cuda/cuda-runtime-api/index.html)
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cudaGetErrorEnum, cudaMalloc, cudaMemcpy, cudaFree
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## Dependencies needed to build/run
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[CUBLAS](../../../README.md#cublas)
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## Prerequisites
|
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Download and install the [CUDA Toolkit](https://developer.nvidia.com/cuda-downloads) for your corresponding platform.
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Make sure the dependencies mentioned in [Dependencies]() section above are installed.
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## References (for more details)
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418
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/simpleCUBLAS_LU.cpp
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418
cpp/4_CUDA_Libraries/simpleCUBLAS_LU/simpleCUBLAS_LU.cpp
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/* Copyright (c) 2022, NVIDIA CORPORATION. All rights reserved.
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*
|
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* 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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*/
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/*
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* This example demonstrates how to use the cuBLAS library API
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* for lower-upper (LU) decomposition of a matrix. LU decomposition
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* factors a matrix as the product of upper triangular matrix and
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* lower trianglular matrix.
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*
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* https://en.wikipedia.org/wiki/LU_decomposition
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*
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* This sample uses 10000 matrices of size 4x4 and performs
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* LU decomposition of them using batched decomposition API
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* of cuBLAS library. To test the correctness of upper and lower
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* matrices generated, they are multiplied and compared with the
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* original input matrix.
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*
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*/
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#include <stdio.h>
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#include <stdlib.h>
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// cuda libraries and helpers
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#include <cublas_v2.h>
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#include <cuda_runtime.h>
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#include <helper_cuda.h>
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|
||||
// configurable parameters
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// dimension of matrix
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#define N 4
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#define BATCH_SIZE 10000
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||||
// use double precision data type
|
||||
#define DOUBLE_PRECISION /* comment this to use single precision */
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#ifdef DOUBLE_PRECISION
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#define DATA_TYPE double
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#define MAX_ERROR 1e-15
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#else
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||||
#define DATA_TYPE float
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#define MAX_ERROR 1e-6
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#endif /* DOUBLE_PRCISION */
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||||
// use pivot vector while decomposing
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||||
#define PIVOT /* comment this to disable pivot use */
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// helper functions
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||||
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||||
// wrapper around cublas<t>getrfBatched()
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cublasStatus_t
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cublasXgetrfBatched(cublasHandle_t handle, int n, DATA_TYPE *const A[], int lda, int *P, int *info, int batchSize)
|
||||
{
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#ifdef DOUBLE_PRECISION
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return cublasDgetrfBatched(handle, n, A, lda, P, info, batchSize);
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#else
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||||
return cublasSgetrfBatched(handle, n, A, lda, P, info, batchSize);
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#endif
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}
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|
||||
// wrapper around malloc
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||||
// clears the allocated memory to 0
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// terminates the program if malloc fails
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void *xmalloc(size_t size)
|
||||
{
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||||
void *ptr = malloc(size);
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||||
if (ptr == NULL) {
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printf("> ERROR: malloc for size %zu failed..\n", size);
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exit(EXIT_FAILURE);
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}
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memset(ptr, 0, size);
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return ptr;
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||||
}
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// initalize identity matrix
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void initIdentityMatrix(DATA_TYPE *mat)
|
||||
{
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||||
// clear the matrix
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||||
memset(mat, 0, N * N * sizeof(DATA_TYPE));
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|
||||
// set all diagonals to 1
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for (int i = 0; i < N; i++) {
|
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mat[(i * N) + i] = 1.0;
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||||
}
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}
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// initialize matrix with all elements as 0
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void initZeroMatrix(DATA_TYPE *mat) { memset(mat, 0, N * N * sizeof(DATA_TYPE)); }
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// fill random value in column-major matrix
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void initRandomMatrix(DATA_TYPE *mat)
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{
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for (int i = 0; i < N; i++) {
|
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for (int j = 0; j < N; j++) {
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mat[(j * N) + i] = (DATA_TYPE)1.0 + ((DATA_TYPE)rand() / (DATA_TYPE)RAND_MAX);
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||||
}
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||||
}
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|
||||
// diagonal dominant matrix to insure it is invertible matrix
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for (int i = 0; i < N; i++) {
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mat[(i * N) + i] += (DATA_TYPE)N;
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}
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||||
}
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||||
|
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// print column-major matrix
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void printMatrix(DATA_TYPE *mat)
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{
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for (int i = 0; i < N; i++) {
|
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for (int j = 0; j < N; j++) {
|
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printf("%20.16f ", mat[(j * N) + i]);
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}
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printf("\n");
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}
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printf("\n");
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}
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||||
|
||||
// matrix mulitplication
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void matrixMultiply(DATA_TYPE *res, DATA_TYPE *mat1, DATA_TYPE *mat2)
|
||||
{
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||||
initZeroMatrix(res);
|
||||
|
||||
for (int i = 0; i < N; i++) {
|
||||
for (int j = 0; j < N; j++) {
|
||||
for (int k = 0; k < N; k++) {
|
||||
res[(j * N) + i] += mat1[(k * N) + i] * mat2[(j * N) + k];
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// check matrix equality
|
||||
bool checkRelativeError(DATA_TYPE *mat1, DATA_TYPE *mat2, DATA_TYPE maxError)
|
||||
{
|
||||
DATA_TYPE err = (DATA_TYPE)0.0;
|
||||
DATA_TYPE refNorm = (DATA_TYPE)0.0;
|
||||
DATA_TYPE relError = (DATA_TYPE)0.0;
|
||||
DATA_TYPE relMaxError = (DATA_TYPE)0.0;
|
||||
|
||||
for (int i = 0; i < N * N; i++) {
|
||||
refNorm = abs(mat1[i]);
|
||||
err = abs(mat1[i] - mat2[i]);
|
||||
|
||||
if (refNorm != 0.0 && err > 0.0) {
|
||||
relError = err / refNorm;
|
||||
relMaxError = MAX(relMaxError, relError);
|
||||
}
|
||||
|
||||
if (relMaxError > maxError)
|
||||
return false;
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
// decode lower and upper matrix from single matrix
|
||||
// returned by getrfBatched()
|
||||
void getLUdecoded(DATA_TYPE *mat, DATA_TYPE *L, DATA_TYPE *U)
|
||||
{
|
||||
// init L as identity matrix
|
||||
initIdentityMatrix(L);
|
||||
|
||||
// copy lower triangular values from mat to L (skip diagonal)
|
||||
for (int i = 0; i < N; i++) {
|
||||
for (int j = 0; j < i; j++) {
|
||||
L[(j * N) + i] = mat[(j * N) + i];
|
||||
}
|
||||
}
|
||||
|
||||
// init U as all zero
|
||||
initZeroMatrix(U);
|
||||
|
||||
// copy upper triangular values from mat to U
|
||||
for (int i = 0; i < N; i++) {
|
||||
for (int j = i; j < N; j++) {
|
||||
U[(j * N) + i] = mat[(j * N) + i];
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// generate permutation matrix from pivot vector
|
||||
void getPmatFromPivot(DATA_TYPE *Pmat, int *P)
|
||||
{
|
||||
int pivot[N];
|
||||
|
||||
// pivot vector in base-1
|
||||
// convert it to base-0
|
||||
for (int i = 0; i < N; i++) {
|
||||
P[i]--;
|
||||
}
|
||||
|
||||
// generate permutation vector from pivot
|
||||
// initialize pivot with identity sequence
|
||||
for (int k = 0; k < N; k++) {
|
||||
pivot[k] = k;
|
||||
}
|
||||
|
||||
// swap the indices according to pivot vector
|
||||
for (int k = 0; k < N; k++) {
|
||||
int q = P[k];
|
||||
|
||||
// swap pivot(k) and pivot(q)
|
||||
int s = pivot[k];
|
||||
int t = pivot[q];
|
||||
pivot[k] = t;
|
||||
pivot[q] = s;
|
||||
}
|
||||
|
||||
// generate permutation matrix from pivot vector
|
||||
initZeroMatrix(Pmat);
|
||||
for (int i = 0; i < N; i++) {
|
||||
int j = pivot[i];
|
||||
Pmat[(j * N) + i] = (DATA_TYPE)1.0;
|
||||
}
|
||||
}
|
||||
|
||||
int main(int argc, char **argv)
|
||||
{
|
||||
// cuBLAS variables
|
||||
cublasStatus_t status;
|
||||
cublasHandle_t handle;
|
||||
|
||||
// host variables
|
||||
size_t matSize = N * N * sizeof(DATA_TYPE);
|
||||
|
||||
DATA_TYPE *h_AarrayInput;
|
||||
DATA_TYPE *h_AarrayOutput;
|
||||
DATA_TYPE *h_ptr_array[BATCH_SIZE];
|
||||
|
||||
int *h_pivotArray;
|
||||
int *h_infoArray;
|
||||
|
||||
// device variables
|
||||
DATA_TYPE *d_Aarray;
|
||||
DATA_TYPE **d_ptr_array;
|
||||
|
||||
int *d_pivotArray;
|
||||
int *d_infoArray;
|
||||
|
||||
int err_count = 0;
|
||||
|
||||
// seed the rand() function with time
|
||||
srand(12345);
|
||||
|
||||
// find cuda device
|
||||
printf("> initializing..\n");
|
||||
int dev = findCudaDevice(argc, (const char **)argv);
|
||||
if (dev == -1) {
|
||||
return (EXIT_FAILURE);
|
||||
}
|
||||
|
||||
// initialize cuBLAS
|
||||
status = cublasCreate(&handle);
|
||||
if (status != CUBLAS_STATUS_SUCCESS) {
|
||||
printf("> ERROR: cuBLAS initialization failed..\n");
|
||||
return (EXIT_FAILURE);
|
||||
}
|
||||
|
||||
#ifdef DOUBLE_PRECISION
|
||||
printf("> using DOUBLE precision..\n");
|
||||
#else
|
||||
printf("> using SINGLE precision..\n");
|
||||
#endif
|
||||
|
||||
#ifdef PIVOT
|
||||
printf("> pivot ENABLED..\n");
|
||||
#else
|
||||
printf("> pivot DISABLED..\n");
|
||||
#endif
|
||||
|
||||
// allocate memory for host variables
|
||||
h_AarrayInput = (DATA_TYPE *)xmalloc(BATCH_SIZE * matSize);
|
||||
h_AarrayOutput = (DATA_TYPE *)xmalloc(BATCH_SIZE * matSize);
|
||||
|
||||
h_pivotArray = (int *)xmalloc(N * BATCH_SIZE * sizeof(int));
|
||||
h_infoArray = (int *)xmalloc(BATCH_SIZE * sizeof(int));
|
||||
|
||||
// allocate memory for device variables
|
||||
checkCudaErrors(cudaMalloc((void **)&d_Aarray, BATCH_SIZE * matSize));
|
||||
checkCudaErrors(cudaMalloc((void **)&d_pivotArray, N * BATCH_SIZE * sizeof(int)));
|
||||
checkCudaErrors(cudaMalloc((void **)&d_infoArray, BATCH_SIZE * sizeof(int)));
|
||||
checkCudaErrors(cudaMalloc((void **)&d_ptr_array, BATCH_SIZE * sizeof(DATA_TYPE *)));
|
||||
|
||||
// fill matrix with random data
|
||||
printf("> generating random matrices..\n");
|
||||
for (int i = 0; i < BATCH_SIZE; i++) {
|
||||
initRandomMatrix(h_AarrayInput + (i * N * N));
|
||||
}
|
||||
|
||||
// copy data to device from host
|
||||
printf("> copying data from host memory to GPU memory..\n");
|
||||
checkCudaErrors(cudaMemcpy(d_Aarray, h_AarrayInput, BATCH_SIZE * matSize, cudaMemcpyHostToDevice));
|
||||
|
||||
// create pointer array for matrices
|
||||
for (int i = 0; i < BATCH_SIZE; i++)
|
||||
h_ptr_array[i] = d_Aarray + (i * N * N);
|
||||
|
||||
// copy pointer array to device memory
|
||||
checkCudaErrors(cudaMemcpy(d_ptr_array, h_ptr_array, BATCH_SIZE * sizeof(DATA_TYPE *), cudaMemcpyHostToDevice));
|
||||
|
||||
// perform LU decomposition
|
||||
printf("> performing LU decomposition..\n");
|
||||
#ifdef PIVOT
|
||||
status = cublasXgetrfBatched(handle, N, d_ptr_array, N, d_pivotArray, d_infoArray, BATCH_SIZE);
|
||||
#else
|
||||
status = cublasXgetrfBatched(handle, N, d_ptr_array, N, NULL, d_infoArray, BATCH_SIZE);
|
||||
#endif /* PIVOT */
|
||||
if (status != CUBLAS_STATUS_SUCCESS) {
|
||||
printf("> ERROR: cublasDgetrfBatched() failed with error %s..\n", _cudaGetErrorEnum(status));
|
||||
return (EXIT_FAILURE);
|
||||
}
|
||||
|
||||
// copy data to host from device
|
||||
printf("> copying data from GPU memory to host memory..\n");
|
||||
checkCudaErrors(cudaMemcpy(h_AarrayOutput, d_Aarray, BATCH_SIZE * matSize, cudaMemcpyDeviceToHost));
|
||||
checkCudaErrors(cudaMemcpy(h_infoArray, d_infoArray, BATCH_SIZE * sizeof(int), cudaMemcpyDeviceToHost));
|
||||
#ifdef PIVOT
|
||||
checkCudaErrors(cudaMemcpy(h_pivotArray, d_pivotArray, N * BATCH_SIZE * sizeof(int), cudaMemcpyDeviceToHost));
|
||||
#endif /* PIVOT */
|
||||
|
||||
// verify the result
|
||||
printf("> verifying the result..\n");
|
||||
for (int i = 0; i < BATCH_SIZE; i++) {
|
||||
if (h_infoArray[i] == 0) {
|
||||
DATA_TYPE *A = h_AarrayInput + (i * N * N);
|
||||
DATA_TYPE *LU = h_AarrayOutput + (i * N * N);
|
||||
DATA_TYPE L[N * N];
|
||||
DATA_TYPE U[N * N];
|
||||
getLUdecoded(LU, L, U);
|
||||
|
||||
// test P * A = L * U
|
||||
int *P = h_pivotArray + (i * N);
|
||||
DATA_TYPE Pmat[N * N];
|
||||
#ifdef PIVOT
|
||||
getPmatFromPivot(Pmat, P);
|
||||
#else
|
||||
initIdentityMatrix(Pmat);
|
||||
#endif /* PIVOT */
|
||||
|
||||
// perform matrix multiplication
|
||||
DATA_TYPE PxA[N * N];
|
||||
DATA_TYPE LxU[N * N];
|
||||
matrixMultiply(PxA, Pmat, A);
|
||||
matrixMultiply(LxU, L, U);
|
||||
|
||||
// check for equality of matrices
|
||||
if (!checkRelativeError(PxA, LxU, (DATA_TYPE)MAX_ERROR)) {
|
||||
printf("> ERROR: accuracy check failed for matrix number %05d..\n", i + 1);
|
||||
err_count++;
|
||||
}
|
||||
}
|
||||
else if (h_infoArray[i] > 0) {
|
||||
printf("> execution for matrix %05d is successful, but U is singular and "
|
||||
"U(%d,%d) = 0..\n",
|
||||
i + 1,
|
||||
h_infoArray[i] - 1,
|
||||
h_infoArray[i] - 1);
|
||||
}
|
||||
else // (h_infoArray[i] < 0)
|
||||
{
|
||||
printf("> ERROR: matrix %05d have an illegal value at index %d = %lf..\n",
|
||||
i + 1,
|
||||
-h_infoArray[i],
|
||||
*(h_AarrayInput + (i * N * N) + (-h_infoArray[i])));
|
||||
}
|
||||
}
|
||||
|
||||
// free device variables
|
||||
checkCudaErrors(cudaFree(d_ptr_array));
|
||||
checkCudaErrors(cudaFree(d_infoArray));
|
||||
checkCudaErrors(cudaFree(d_pivotArray));
|
||||
checkCudaErrors(cudaFree(d_Aarray));
|
||||
|
||||
// free host variables
|
||||
if (h_infoArray)
|
||||
free(h_infoArray);
|
||||
if (h_pivotArray)
|
||||
free(h_pivotArray);
|
||||
if (h_AarrayOutput)
|
||||
free(h_AarrayOutput);
|
||||
if (h_AarrayInput)
|
||||
free(h_AarrayInput);
|
||||
|
||||
// destroy cuBLAS handle
|
||||
status = cublasDestroy(handle);
|
||||
if (status != CUBLAS_STATUS_SUCCESS) {
|
||||
printf("> ERROR: cuBLAS uninitialization failed..\n");
|
||||
return (EXIT_FAILURE);
|
||||
}
|
||||
|
||||
if (err_count > 0) {
|
||||
printf("> TEST FAILED for %d matrices, with precision: %g\n", err_count, MAX_ERROR);
|
||||
return (EXIT_FAILURE);
|
||||
}
|
||||
|
||||
printf("> TEST SUCCESSFUL, with precision: %g\n", MAX_ERROR);
|
||||
return (EXIT_SUCCESS);
|
||||
}
|
||||
Reference in New Issue
Block a user