Date: 2022-11-02T11:47:14+00:00

Actual source code: test7.c
slepc-3.18.1 2022-11-02
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.
      7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
      8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      9: */

     11: static char help[] = "SVD via the cyclic matrix with a user-provided EPS.\n\n"
     12:   "The command line options are:\n"
     13:   "  -m <m>, where <m> = matrix rows.\n"
     14:   "  -n <n>, where <n> = matrix columns (defaults to m+2).\n\n";

     16: #include <slepcsvd.h>

     18: /*
     19:    This example computes the singular values of a rectangular bidiagonal matrix

     21:               |  1  2                     |
     22:               |     1  2                  |
     23:               |        1  2               |
     24:           A = |          .  .             |
     25:               |             .  .          |
     26:               |                1  2       |
     27:               |                   1  2    |
     28:  */

     30: int main(int argc,char **argv)
     31: {
     32:   Mat                  A;
     33:   SVD                  svd;
     34:   EPS                  eps;
     35:   ST                   st;
     36:   KSP                  ksp;
     37:   PC                   pc;
     38:   PetscInt             m=20,n,Istart,Iend,i,col[2];
     39:   PetscScalar          value[] = { 1, 2 };
     40:   PetscBool            flg,expmat;

     43:   SlepcInitialize(&argc,&argv,(char*)0,help);

     45:   PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL);
     46:   PetscOptionsGetInt(NULL,NULL,"-n",&n,&flg);
     47:   if (!flg) n=m+2;
     48:   PetscPrintf(PETSC_COMM_WORLD,"\nRectangular bidiagonal matrix, m=%" PetscInt_FMT " n=%" PetscInt_FMT "\n\n",m,n);

     50:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     51:         Generate the matrix
     52:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     54:   MatCreate(PETSC_COMM_WORLD,&A);
     55:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,m,n);
     56:   MatSetFromOptions(A);
     57:   MatSetUp(A);
     58:   MatGetOwnershipRange(A,&Istart,&Iend);
     59:   for (i=Istart;i<Iend;i++) {
     60:     col[0]=i; col[1]=i+1;
     61:     if (i<n-1) MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);
     62:     else if (i==n-1) MatSetValue(A,i,col[0],value[0],INSERT_VALUES);
     63:   }
     64:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     65:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

     67:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     68:         Create a standalone EPS with appropriate settings
     69:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     71:   EPSCreate(PETSC_COMM_WORLD,&eps);
     72:   EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE);
     73:   EPSSetTarget(eps,1.0);
     74:   EPSGetST(eps,&st);
     75:   STSetType(st,STSINVERT);
     76:   STSetShift(st,1.01);
     77:   STGetKSP(st,&ksp);
     78:   KSPSetType(ksp,KSPPREONLY);
     79:   KSPGetPC(ksp,&pc);
     80:   PCSetType(pc,PCLU);
     81:   EPSSetFromOptions(eps);

     83:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     84:         Compute singular values
     85:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     87:   SVDCreate(PETSC_COMM_WORLD,&svd);
     88:   SVDSetOperators(svd,A,NULL);
     89:   SVDSetType(svd,SVDCYCLIC);
     90:   SVDCyclicSetEPS(svd,eps);
     91:   SVDCyclicSetExplicitMatrix(svd,PETSC_TRUE);
     92:   SVDSetWhichSingularTriplets(svd,SVD_SMALLEST);
     93:   SVDSetFromOptions(svd);
     94:   PetscObjectTypeCompare((PetscObject)svd,SVDCYCLIC,&flg);
     95:   if (flg) {
     96:     SVDCyclicGetExplicitMatrix(svd,&expmat);
     97:     if (expmat) PetscPrintf(PETSC_COMM_WORLD," Using explicit matrix with cyclic solver\n");
     98:   }
     99:   SVDSolve(svd);

    101:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    102:                     Display solution and clean up
    103:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    104:   SVDErrorView(svd,SVD_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
    105:   SVDDestroy(&svd);
    106:   EPSDestroy(&eps);
    107:   MatDestroy(&A);
    108:   SlepcFinalize();
    109:   return 0;
    110: }

    112: /*TEST

    114:    test:
    115:       suffix: 1
    116:       args: -log_exclude svd

    118:    test:
    119:       suffix: 2_cuda
    120:       args: -log_exclude svd -mat_type aijcusparse
    121:       requires: cuda
    122:       output_file: output/test7_1.out

    124: TEST*/