正如Robert Crovella所强调的那样,使用cuSPARSE
和cusparse<t>nnz()
和cusparse<t>dense2csr()
例程可以有效地执行从密集到稀疏的传递。反之亦然可以通过cusparse<t>csr2dense()
例程完成。下面是一个完整的例子,展示了如何在CSR格式中使用cuSPARSE
从密集到稀疏,反之亦然。
cuSparseUtilities.cuh
#ifndef CUSPARSEUTILITIES_CUH
#define CUSPARSEUTILITIES_CUH
#include "cusparse_v2.h"
void setUpDescriptor(cusparseMatDescr_t &, cusparseMatrixType_t, cusparseIndexBase_t);
void dense2SparseD(const double * __restrict__ d_A_dense, int **d_nnzPerVector, double **d_A,
int **d_A_RowIndices, int **d_A_ColIndices, int &nnz, cusparseMatDescr_t descrA,
const cusparseHandle_t handle, const int Nrows, const int Ncols);
#endif
cuSparseUtilities.cu
#include "cuSparseUtilities.cuh"
#include "Utilities.cuh"
/*****************************/
/* SETUP DESCRIPTOR FUNCTION */
/*****************************/
void setUpDescriptor(cusparseMatDescr_t &descrA, cusparseMatrixType_t matrixType, cusparseIndexBase_t indexBase) {
cusparseSafeCall(cusparseCreateMatDescr(&descrA));
cusparseSafeCall(cusparseSetMatType(descrA, matrixType));
cusparseSafeCall(cusparseSetMatIndexBase(descrA, indexBase));
}
/********************************************************/
/* DENSE TO SPARSE CONVERSION FOR REAL DOUBLE PRECISION */
/********************************************************/
void dense2SparseD(const double * __restrict__ d_A_dense, int **d_nnzPerVector, double **d_A,
int **d_A_RowIndices, int **d_A_ColIndices, int &nnz, cusparseMatDescr_t descrA,
const cusparseHandle_t handle, const int Nrows, const int Ncols) {
const int lda = Nrows; // --- Leading dimension of dense matrix
gpuErrchk(cudaMalloc(&d_nnzPerVector[0], Nrows * sizeof(int)));
// --- Compute the number of nonzero elements per row and the total number of nonzero elements in the dense d_A_dense
cusparseSafeCall(cusparseDnnz(handle, CUSPARSE_DIRECTION_ROW, Nrows, Ncols, descrA, d_A_dense, lda, d_nnzPerVector[0], &nnz));
// --- Device side sparse matrix
gpuErrchk(cudaMalloc(&d_A[0], nnz * sizeof(double)));
gpuErrchk(cudaMalloc(&d_A_RowIndices[0], (Nrows + 1) * sizeof(int)));
gpuErrchk(cudaMalloc(&d_A_ColIndices[0], nnz * sizeof(int)));
cusparseSafeCall(cusparseDdense2csr(handle, Nrows, Ncols, descrA, d_A_dense, lda, d_nnzPerVector[0], d_A[0], d_A_RowIndices[0], d_A_ColIndices[0]));
}
kernel.cu
#include "cuda_runtime.h"
#include "device_launch_parameters.h"
#include <stdio.h>
#include <cusparse_v2.h>
#include "cuSparseUtilities.cuh"
#include "Utilities.cuh"
/********/
/* MAIN */
/********/
int main() {
cusparseHandle_t handle;
// --- Initialize cuSPARSE
cusparseSafeCall(cusparseCreate(&handle));
cusparseMatDescr_t descrA = 0;
/**************************/
/* SETTING UP THE PROBLEM */
/**************************/
const int Nrows = 5; // --- Number of rows
const int Ncols = 4; // --- Number of columns
const int N = Nrows;
// --- Host side dense matrix
double *h_A_dense = (double*)malloc(Nrows * Ncols * sizeof(*h_A_dense));
// --- Column-major storage
h_A_dense[ 0] = 0.4612f; h_A_dense[ 5] = -0.0006f; h_A_dense[10] = 1.3f; h_A_dense[15] = 0.0f;
h_A_dense[ 1] = 0.0f; h_A_dense[ 6] = 1.443f; h_A_dense[11] = 0.0f; h_A_dense[16] = 0.0f;
h_A_dense[ 2] = -0.0006f; h_A_dense[ 7] = 0.4640f; h_A_dense[12] = 0.0723f; h_A_dense[17] = 0.0f;
h_A_dense[ 3] = 0.3566f; h_A_dense[ 8] = 0.0723f; h_A_dense[13] = 0.7543f; h_A_dense[18] = 0.0f;
h_A_dense[ 4] = 0.f; h_A_dense[ 9] = 0.0f; h_A_dense[14] = 0.0f; h_A_dense[19] = 0.1f;
// --- Create device array and copy host array to it
double *d_A_dense; gpuErrchk(cudaMalloc(&d_A_dense, Nrows * Ncols * sizeof(double)));
gpuErrchk(cudaMemcpy(d_A_dense, h_A_dense, Nrows * Ncols * sizeof(*d_A_dense), cudaMemcpyHostToDevice));
/*******************************/
/* FROM DENSE TO SPARSE MATRIX */
/*******************************/
// --- Descriptor for sparse matrix A
setUpDescriptor(descrA, CUSPARSE_MATRIX_TYPE_GENERAL, CUSPARSE_INDEX_BASE_ONE);
int nnz = 0; // --- Number of nonzero elements in dense matrix
int *d_nnzPerVector; // --- Device side number of nonzero elements per row
double *d_A; // --- Sparse matrix values - array of size nnz
int *d_A_RowIndices; // --- "Row indices"
int *d_A_ColIndices; // --- "Column indices"
dense2SparseD(d_A_dense, &d_nnzPerVector, &d_A, &d_A_RowIndices, &d_A_ColIndices, nnz, descrA, handle, Nrows, Ncols);
/*******************************************************/
/* CHECKING THE RESULTS FOR DENSE TO SPARSE CONVERSION */
/*******************************************************/
// --- Host side number of nonzero elements per row
int *h_nnzPerVector = (int *)malloc(Nrows * sizeof(int));
gpuErrchk(cudaMemcpy(h_nnzPerVector, d_nnzPerVector, Nrows * sizeof(int), cudaMemcpyDeviceToHost));
printf("Number of nonzero elements in dense matrix = %i\n\n", nnz);
for (int i = 0; i < Nrows; ++i) printf("Number of nonzero elements in row %i = %i \n", i, h_nnzPerVector[i]);
printf("\n");
// --- Host side sparse matrix
double *h_A = (double *)malloc(nnz * sizeof(double));
int *h_A_RowIndices = (int *)malloc((Nrows + 1) * sizeof(int));
int *h_A_ColIndices = (int *)malloc(nnz * sizeof(int));
gpuErrchk(cudaMemcpy(h_A, d_A, nnz * sizeof(double), cudaMemcpyDeviceToHost));
gpuErrchk(cudaMemcpy(h_A_RowIndices, d_A_RowIndices, (Nrows + 1) * sizeof(int), cudaMemcpyDeviceToHost));
gpuErrchk(cudaMemcpy(h_A_ColIndices, d_A_ColIndices, nnz * sizeof(int), cudaMemcpyDeviceToHost));
printf("\nOriginal matrix in CSR format\n\n");
for (int i = 0; i < nnz; ++i) printf("A[%i] = %f\n", i, h_A[i]); printf("\n");
printf("\n");
for (int i = 0; i < (Nrows + 1); ++i) printf("h_A_RowIndices[%i] = %i \n", i, h_A_RowIndices[i]); printf("\n");
for (int i = 0; i < nnz; ++i) printf("h_A_ColIndices[%i] = %i \n", i, h_A_ColIndices[i]);
/*******************************/
/* FROM SPARSE TO DENSE MATRIX */
/*******************************/
double *d_A_denseReconstructed; gpuErrchk(cudaMalloc(&d_A_denseReconstructed, Nrows * Ncols * sizeof(double)));
cusparseSafeCall(cusparseDcsr2dense(handle, Nrows, Ncols, descrA, d_A, d_A_RowIndices, d_A_ColIndices,
d_A_denseReconstructed, Nrows));
/*******************************************************/
/* CHECKING THE RESULTS FOR SPARSE TO DENSE CONVERSION */
/*******************************************************/
double *h_A_denseReconstructed = (double *)malloc(Nrows * Ncols * sizeof(double));
gpuErrchk(cudaMemcpy(h_A_denseReconstructed, d_A_denseReconstructed, Nrows * Ncols * sizeof(double), cudaMemcpyDeviceToHost));
printf("\nReconstructed dense matrix \n");
for (int m = 0; m < Nrows; m++) {
for (int n = 0; n < Ncols; n++)
printf("%f\t", h_A_denseReconstructed[n * Nrows + m]);
printf("\n");
}
return 0;
}
没有错误检查?在向其他人求助之前,您应该利用针对CUDA和cusparse API的基本API级错误检查。你有cusparse函数返回错误,无论第1行或第2行是否定位。你声明每列的nnz是10,但实际上你正在用每列超过10个非零元素初始化你的密集矩阵,这导致了密集到稀疏转换爆炸。 Cusparse提供了预先计算每列nnz的函数。但在你的情况下,你可以简单地通过将'in_degree'设置为100而不是10来消除错误。 –
感谢您的提醒。我从一个大的代码库中提取它来提问。我已经测试过这些调用,他们都返回成功。至于密集矩阵,我打算用n来生成稠密矩阵n,然后将它转化为大小为n的稀疏矩阵,每列有10个非零元素。如果这是设置,我的方式调用转换功能是否正确?还是有什么我明白错误的? – shaoyl85
@RobertCrovella对不起,我明白你的观点,你的意思是如果我的密集矩阵在每一列中有10个以上的非零元素,我不能称nnz每列等于10的转换?转换不会自动选择10个最不为零的元素吗? – shaoyl85