鲲鹏社区首页
中文
注册
开发者
支持
我要评分
文档获取效率
文档正确性
内容完整性
文档易理解
提交
在线提单
论坛求助

示例

  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
/*******************************************************************************
    KML_EigenSolver example codes for solving eigenvalues problem AX = BXD 
*******************************************************************************/

#include "kes.h"

void MyMatVec4A(void *kesA, void *kesX, void *kesAX, int nRows, int nCols, int ld)
{
    // user-defined mat-vec routine for matrix A ......
}

void MyMatVec4B(void *kesB, void *kesX, void *kesBX, int nRows, int nCols, int ld)
{
    // user-defined mat-vec routine for matrix B ......
}

void MyMatVec4P(void *kesP, void *kesX, void *kesPX, int nRows, int nCols, int ld)
{
    // user-defined mat-vec routine for preconditioner P ......
}

int main (int argc, char **argv) {
    MPI_Init(&argc, &argv);
    int rank, size;
    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
    MPI_Comm_size(MPI_COMM_WORLD, &size);

/*
    set parameters
*/
    int nRows = 1000, nCols = 100;
    MPI_Comm rowComm = MPI_COMM_WORLD;
    MPI_Comm colComm = MPI_COMM_SELF;

/*
    create matrix, vector, and solver
*/
    KesMatrix A, P, B;
    KesVector X, D;
    KesSolver solver;

    KesScalarType scalarType = KES_SCALAR_FP64;
    KesSolverAlgorithm solverAlgorithm = KES_LOBPCG;
    KesMatrixFormat matrixFormat = KES_SHELL;
    KesVectorFormat vectorFormat = KES_DENSE;

    KesMatrixCreate(&A, scalarType, matrixFormat);
    KesMatrixCreate(&B, scalarType, matrixFormat);
    KesMatrixCreate(&P, scalarType, matrixFormat);
    KesVectorCreate(&X, scalarType, vectorFormat);
    KesVectorCreate(&D, scalarType, vectorFormat);
    KesSolverCreate(&solver, scalarType, solverAlgorithm);

    KesMatrixSetDim(A, nRows * size, nRows * size);
    KesMatrixSetDim(B, nRows * size, nRows * size);

    KesVectorSetDim(X, nRows, nCols);
    KesVectorSetComm(X, KES_ROW, rowComm);
    KesVectorSetComm(X, KES_COL, colComm);

    KesVectorSetDim(D, nCols, 1);
    KesVectorSetComm(D, KES_ROW, rowComm);
    KesVectorSetComm(D, KES_COL, colComm);

    double *X_vals = new double[nRows * nCols];
    double *D_vals = new double[nCols];
    KesVectorDenseSetValues(X, X_vals, nRows);
    KesVectorDenseSetValues(D, D_vals, nCols);

    double *A_vals = new double[nRows * nRows];
    double *B_vals = new double[nRows * nRows];
    double *P_vals = new double[nRows];
    KesMatrixSetShellMatVec(A, A_vals, MyMatVec4A);
    KesMatrixSetShellMatVec(B, B_vals, MyMatVec4B);
    KesMatrixSetShellMatVec(P, P_vals, MyMatVec4P);

/*
    set solver-related parameters
*/
    int maxIter = 100000;
    int maxOrthoIter = 2;
    double threshold = 1e-6;
    KesProblemType problemType = KES_STANDARD;
    KesDenseEigenSolverType denseEigenSolverType = KES_SCALAPACK;
    KesOrthoProjectorType orthoProjectorType = KES_GRAM_SCHMIDT;
    KesOrthogonalizerType orthogonalizerType = KES_CHOLESKY_QR;
    KesConvergeDetectorType convergeDetectorType = KES_RESIDUALS;

    KesSolverSetThreshold(solver, threshold);
    KesSolverSetMaxIter(solver, maxIter);
    KesSolverSetMaxOrthoIter(solver, maxOrthoIter);
    KesSolverSetProblemType(solver, problemType);
    KesSetDenseEigenSolverType(solver, denseEigenSolverType);
    KesSetConvergeDetectorType(solver, convergeDetectorType);
    KesSetOrthogonalizerType(solver, orthogonalizerType);
    KesSetOrthoProjectorType(solver, orthoProjectorType);

/*
    run the solver
*/
    KesRunSolver(solver, A, B, P, X, D);

/*
    get solver information
*/
    int nIter;
    int nConv;
    KesGetSolverConv(solver, &nConv);
    KesGetSolverIter(solver, &nIter);
    if (rank == 0) {
        printf(" Number of iteration steps = %d\n", nIter);
        printf(" Number of converged eigenvalues = %d\n", nConv);
    }

/*
    compute residuals
*/
    KesVector R;
    KesVectorReplicate(X, &R, true, true);
    KesVector normR;
    KesVectorReplicate(D, &normR, true, true);
    KesEigResidual(A, B, X, D, R);
    KesVectorNorm(R, normR);

/*
    clean up
*/
    delete[] A_vals;
    delete[] B_vals;
    delete[] P_vals;
    delete[] X_vals;
    delete[] D_vals;

/*
    clean up internal object
*/
    KesMatrixDestroy(A);
    KesMatrixDestroy(B);
    KesMatrixDestroy(P);
    KesVectorDestroy(X);
    KesVectorDestroy(D);
    KesVectorDestroy(R);
    KesVectorDestroy(normR);
    KesSolverDestroy(solver);

    MPI_Finalize();
    return 0;
}