306 lines
9.7 KiB
Plaintext
306 lines
9.7 KiB
Plaintext
/******************************************************
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* C++ Library of the Linear Conjugate Gradient Methods (LibLCG)
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*
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* Copyright (C) 2022 Yi Zhang (yizhang-geo@zju.edu.cn)
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*
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* LibLCG is distributed under a dual licensing scheme. You can
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* redistribute it and/or modify it under the terms of the GNU Lesser
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* General Public License (LGPL) as published by the Free Software Foundation,
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* either version 2 of the License, or (at your option) any later version.
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* You should have received a copy of the GNU Lesser General Public
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* License along with this program. If not, see <http://www.gnu.org/licenses/>.
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*
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* If the terms and conditions of the LGPL v.2. would prevent you from
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* using the LibLCG, please consider the option to obtain a commercial
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* license for a fee. These licenses are offered by the LibLCG developing
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* team. As a rule, licenses are provided "as-is", unlimited in time for
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* a one time fee. Please send corresponding requests to: yizhang-geo@zju.edu.cn.
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* Please do not forget to include some description of your company and the
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* realm of its activities. Also add information on how to contact you by
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* electronic and paper mail.
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******************************************************/
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#include <iostream>
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#include <iomanip>
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#include <fstream>
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#include <cmath>
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#include "../lib/solver_cuda.h"
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#include "../lib/preconditioner_cuda.h"
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// Declare as global variables
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cuDoubleComplex one = {1.0, 0.0};
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cuDoubleComplex zero = {0.0, 0.0};
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void read(std::string filePath, int *pN, int *pnz, cuDoubleComplex **cooVal,
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int **cooRowIdx, int **cooColIdx, cuDoubleComplex **b)
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{
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std::ifstream in(filePath, std::ios::binary);
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in.read((char*)pN, sizeof(int));
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in.read((char*)pnz, sizeof(int));
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*cooVal = new cuDoubleComplex[*pnz]{};
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*cooRowIdx = new int[*pnz]{};
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*cooColIdx = new int[*pnz]{};
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*b = new cuDoubleComplex[*pN]{};
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for (int i = 0; i < *pnz; ++i)
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{
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in.read((char*)&(*cooRowIdx)[i], sizeof(int));
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in.read((char*)&(*cooColIdx)[i], sizeof(int));
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in.read((char*)&(*cooVal)[i], sizeof(cuDoubleComplex));
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}
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in.read((char*)(*b), sizeof(cuDoubleComplex)*(*pN));
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return;
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}
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void readAnswer(std::string filePath, int *pN, cuDoubleComplex **x)
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{
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std::ifstream in(filePath, std::ios::binary);
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in.read((char*)pN, sizeof(int));
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*x = new cuDoubleComplex[*pN]{};
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in.read((char*)(*x), sizeof(cuDoubleComplex)*(*pN));
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return;
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}
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lcg_float avg_error(cuDoubleComplex *a, cuDoubleComplex *b, int n)
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{
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lcg_float avg = 0.0;
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cuDoubleComplex tmp;
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for (size_t i = 0; i < n; i++)
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{
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tmp = clcg_Zdiff(a[i], b[i]);
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avg += (tmp.x*tmp.x + tmp.y*tmp.y);
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}
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return sqrt(avg)/n;
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}
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class sample12 : public CLCG_CUDA_Solver
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{
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public:
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sample12(){}
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virtual ~sample12(){}
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void solve(std::string inputPath, std::string answerPath, cublasHandle_t cub_handle, cusparseHandle_t cus_handle);
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void AxProduct(cublasHandle_t cub_handle, cusparseHandle_t cus_handle, cusparseDnVecDescr_t x, cusparseDnVecDescr_t prod_Ax,
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const int n_size, const int nz_size, cusparseOperation_t oper_t)
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{
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// Calculate the product of A*x
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cusparseSpMV(cus_handle, oper_t, &one, smat_A, x, &zero, prod_Ax, CUDA_C_64F, CUSPARSE_SPMV_ALG_DEFAULT, d_buf);
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return;
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}
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void MxProduct(cublasHandle_t cub_handle, cusparseHandle_t cus_handle, cusparseDnVecDescr_t x, cusparseDnVecDescr_t prod_Ax,
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const int n_size, const int nz_size, cusparseOperation_t oper_t)
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{
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cusparseSpSV_solve(cus_handle, CUSPARSE_OPERATION_NON_TRANSPOSE, &one, smat_IC, x, dvec_p,
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CUDA_C_64F, CUSPARSE_SPSV_ALG_DEFAULT, descr_L);
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cusparseSpSV_solve(cus_handle, CUSPARSE_OPERATION_TRANSPOSE, &one, smat_IC, dvec_p, prod_Ax,
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CUDA_C_64F, CUSPARSE_SPSV_ALG_DEFAULT, descr_LT);
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return;
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}
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private:
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int N, nz;
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int *rowIdxA, *colIdxA;
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cuDoubleComplex *A, *b;
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cuDoubleComplex *ans_x;
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int *IC_row, *IC_col;
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cuDoubleComplex *IC_val;
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void *d_buf, *d_buf2;
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cusparseSpMatDescr_t smat_A;
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cusparseSpMatDescr_t smat_IC;
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cusparseSpSVDescr_t descr_L, descr_LT;
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int *d_rowIdxA; // COO
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int *d_rowPtrA; // CSR
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int *d_colIdxA;
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cuDoubleComplex *d_A;
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cuDoubleComplex *d_p;
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cusparseDnVecDescr_t dvec_p;
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int *d_rowIdxIC; // COO
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int *d_rowPtrIC; // CSR
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int *d_colIdxIC;
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cuDoubleComplex *d_IC;
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cuDoubleComplex *host_m;
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cuDoubleComplex *d_t;
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cusparseDnVecDescr_t dvec_tmp;
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};
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void sample12::solve(std::string inputPath, std::string answerPath, cublasHandle_t cub_handle, cusparseHandle_t cus_handle)
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{
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read(inputPath, &N, &nz, &A, &rowIdxA, &colIdxA, &b);
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readAnswer(answerPath, &N, &ans_x);
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std::clog << "N = " << N << std::endl;
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std::clog << "nz = " << nz << std::endl;
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IC_row = new int [nz];
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IC_col = new int [nz];
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IC_val = new cuDoubleComplex [nz];
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clcg_incomplete_Cholesky_cuda_full(rowIdxA, colIdxA, A, N, nz, IC_row, IC_col, IC_val);
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/*
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for (size_t i = 0; i < nz; i++)
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{
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if (IC_row[i] >= IC_col[i])
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{
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std::cout << IC_row[i] << " " << IC_col[i] << " (" << IC_val[i].x << "," << IC_val[i].y << ")\n";
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}
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}
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*/
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// Allocate GPU memory & copy matrix/vector to device
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cudaMalloc(&d_A, nz * sizeof(cuDoubleComplex));
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cudaMalloc(&d_rowIdxA, nz * sizeof(int));
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cudaMalloc(&d_rowPtrA, (N + 1) * sizeof(int));
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cudaMalloc(&d_colIdxA, nz * sizeof(int));
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cudaMalloc(&d_p, N * sizeof(cuDoubleComplex));
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cusparseCreateDnVec(&dvec_p, N, d_p, CUDA_C_64F);
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cudaMemcpy(d_A, A, nz * sizeof(cuDoubleComplex), cudaMemcpyHostToDevice);
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cudaMemcpy(d_rowIdxA, rowIdxA, nz * sizeof(int), cudaMemcpyHostToDevice);
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cudaMemcpy(d_colIdxA, colIdxA, nz * sizeof(int), cudaMemcpyHostToDevice);
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cudaMalloc(&d_IC, nz * sizeof(cuDoubleComplex));
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cudaMalloc(&d_rowIdxIC, nz * sizeof(int));
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cudaMalloc(&d_rowPtrIC, (N + 1) * sizeof(int));
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cudaMalloc(&d_colIdxIC, nz * sizeof(int));
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cudaMemcpy(d_IC, IC_val, nz * sizeof(cuDoubleComplex), cudaMemcpyHostToDevice);
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cudaMemcpy(d_rowIdxIC, IC_row, nz * sizeof(int), cudaMemcpyHostToDevice);
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cudaMemcpy(d_colIdxIC, IC_col, nz * sizeof(int), cudaMemcpyHostToDevice);
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// Convert matrix A from COO format to CSR format
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cusparseXcoo2csr(cus_handle, d_rowIdxA, nz, N, d_rowPtrA, CUSPARSE_INDEX_BASE_ZERO);
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// Create sparse matrix
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cusparseCreateCsr(&smat_A, N, N, nz, d_rowPtrA, d_colIdxA, d_A, CUSPARSE_INDEX_32I,
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CUSPARSE_INDEX_32I, CUSPARSE_INDEX_BASE_ZERO, CUDA_C_64F);
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// Convert matrix L from COO format to CSR format
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cusparseXcoo2csr(cus_handle, d_rowIdxIC, nz, N, d_rowPtrIC, CUSPARSE_INDEX_BASE_ZERO);
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// Create sparse matrix
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cusparseCreateCsr(&smat_IC, N, N, nz, d_rowPtrIC, d_colIdxIC, d_IC, CUSPARSE_INDEX_32I,
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CUSPARSE_INDEX_32I, CUSPARSE_INDEX_BASE_ZERO, CUDA_C_64F);
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// Specify Non-Unit diagonal type.
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//cusparseDiagType_t diagtype = CUSPARSE_DIAG_TYPE_NON_UNIT;
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//cusparseSpMatSetAttribute(smat_IC, CUSPARSE_SPMAT_DIAG_TYPE, &diagtype, sizeof(diagtype));
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// This is just used to get bufferSize;
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cudaMalloc(&d_t, N * sizeof(cuDoubleComplex));
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cusparseCreateDnVec(&dvec_tmp, N, d_t, CUDA_C_64F);
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size_t bufferSize_B;
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cusparseSpMV_bufferSize(cus_handle, CUSPARSE_OPERATION_NON_TRANSPOSE, &one, smat_A,
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dvec_tmp, &zero, dvec_tmp, CUDA_C_64F, CUSPARSE_SPMV_ALG_DEFAULT, &bufferSize_B);
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// --- Start of the preconditioning part ---
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cusparseSpSV_createDescr(&descr_L);
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cusparseSpSV_createDescr(&descr_LT);
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size_t bufferSize, bufferSize_L, bufferSize_LT;
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bufferSize = bufferSize_B;
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cusparseSpSV_bufferSize(cus_handle, CUSPARSE_OPERATION_NON_TRANSPOSE, &one, smat_IC, dvec_p,
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dvec_tmp, CUDA_C_64F, CUSPARSE_SPSV_ALG_DEFAULT, descr_L, &bufferSize_L);
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cusparseSpSV_bufferSize(cus_handle, CUSPARSE_OPERATION_TRANSPOSE, &one, smat_IC, dvec_p,
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dvec_tmp, CUDA_C_64F, CUSPARSE_SPSV_ALG_DEFAULT, descr_LT, &bufferSize_LT);
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bufferSize = max(max(bufferSize, bufferSize_L), bufferSize_LT);
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cudaMalloc(&d_buf, bufferSize);
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cudaMalloc(&d_buf2, bufferSize);
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cusparseSpSV_analysis(cus_handle, CUSPARSE_OPERATION_NON_TRANSPOSE, &one, smat_IC, dvec_tmp, dvec_p,
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CUDA_C_64F, CUSPARSE_SPSV_ALG_DEFAULT, descr_L, d_buf);
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cusparseSpSV_analysis(cus_handle, CUSPARSE_OPERATION_TRANSPOSE, &one, smat_IC, dvec_p, dvec_tmp,
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CUDA_C_64F, CUSPARSE_SPSV_ALG_DEFAULT, descr_LT, d_buf2);
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// --- End of the preconditioning part ---
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// Declare an initial solution
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clcg_para self_para = clcg_default_parameters();
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self_para.epsilon = 1e-6;
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self_para.abs_diff = 0;
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host_m = new cuDoubleComplex[N];
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// Preconditioning with incomplete-chelosky factorization
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for (size_t i = 0; i < N; i++)
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{
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host_m[i].x = 0.0; host_m[i].y = 0.0;
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}
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MinimizePreconditioned(cub_handle, cus_handle, host_m, b, N, nz, CLCG_PCG);
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std::clog << "Averaged error (compared with ans_x): " << avg_error(host_m, ans_x, N) << std::endl;
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// Free Host memory
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if (rowIdxA != nullptr) delete[] rowIdxA;
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if (colIdxA != nullptr) delete[] colIdxA;
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if (A != nullptr) delete[] A;
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if (b != nullptr) delete[] b;
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if (ans_x != nullptr) delete[] ans_x;
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if (IC_row != nullptr) delete[] IC_row;
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if (IC_col != nullptr) delete[] IC_col;
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if (IC_val != nullptr) delete[] IC_val;
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if (host_m != nullptr) delete[] host_m;
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cusparseDestroyDnVec(dvec_tmp);
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cusparseDestroyDnVec(dvec_p);
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cudaFree(d_buf);
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cudaFree(d_buf2);
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cudaFree(d_rowIdxA);
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cudaFree(d_rowPtrA);
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cudaFree(d_colIdxA);
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cudaFree(d_A);
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cudaFree(d_p);
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cudaFree(d_t);
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cudaFree(d_rowIdxIC);
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cudaFree(d_rowPtrIC);
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cudaFree(d_colIdxIC);
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cudaFree(d_IC);
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cusparseDestroySpMat(smat_A);
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cusparseDestroySpMat(smat_IC);
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cusparseSpSV_destroyDescr(descr_L);
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cusparseSpSV_destroyDescr(descr_LT);
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return;
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}
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int main(int argc, char **argv)
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{
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std::string inputPath = "data/case_1M_cA";
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std::string answerPath = "data/case_1M_cB";
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cublasHandle_t cubHandle;
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cusparseHandle_t cusHandle;
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cublasCreate(&cubHandle);
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cusparseCreate(&cusHandle);
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sample12 sp;
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sp.set_report_interval(0);
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sp.solve(inputPath, answerPath, cubHandle, cusHandle);
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cublasDestroy(cubHandle);
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cusparseDestroy(cusHandle);
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return 0;
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} |