Date: 2024-09-25T09:34:29+00:00

Actual source code: test4.c
slepc-3.21.2 2024-09-25
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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[] = "Test BV operations, changing the number of active columns.\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     17:   Vec            t,v;
     18:   Mat            Q,M;
     19:   BV             X,Y;
     20:   PetscInt       i,j,n=10,kx=6,lx=3,ky=5,ly=2;
     21:   PetscScalar    *q,*z;
     22:   PetscReal      nrm;
     23:   PetscViewer    view;
     24:   PetscBool      verbose,trans;

     26:   PetscFunctionBeginUser;
     27:   PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
     28:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
     29:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-kx",&kx,NULL));
     30:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-lx",&lx,NULL));
     31:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-ky",&ky,NULL));
     32:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-ly",&ly,NULL));
     33:   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
     34:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"First BV with %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns) of dimension %" PetscInt_FMT ".\n",kx,lx,n));
     35:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Second BV with %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns) of dimension %" PetscInt_FMT ".\n",ky,ly,n));

     37:   /* Create template vector */
     38:   PetscCall(VecCreate(PETSC_COMM_WORLD,&t));
     39:   PetscCall(VecSetSizes(t,PETSC_DECIDE,n));
     40:   PetscCall(VecSetFromOptions(t));

     42:   /* Create BV object X */
     43:   PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
     44:   PetscCall(PetscObjectSetName((PetscObject)X,"X"));
     45:   PetscCall(BVSetSizesFromVec(X,t,kx+2));  /* two extra columns to test active columns */
     46:   PetscCall(BVSetFromOptions(X));
     47:   PetscCall(BVSetActiveColumns(X,lx,kx));

     49:   /* Set up viewer */
     50:   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
     51:   if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));

     53:   /* Fill X entries */
     54:   for (j=0;j<kx+2;j++) {
     55:     PetscCall(BVGetColumn(X,j,&v));
     56:     PetscCall(VecSet(v,0.0));
     57:     for (i=0;i<4;i++) {
     58:       if (i+j<n) PetscCall(VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES));
     59:     }
     60:     PetscCall(VecAssemblyBegin(v));
     61:     PetscCall(VecAssemblyEnd(v));
     62:     PetscCall(BVRestoreColumn(X,j,&v));
     63:   }
     64:   if (verbose) PetscCall(BVView(X,view));

     66:   /* Create BV object Y */
     67:   PetscCall(BVCreate(PETSC_COMM_WORLD,&Y));
     68:   PetscCall(PetscObjectSetName((PetscObject)Y,"Y"));
     69:   PetscCall(BVSetSizesFromVec(Y,t,ky+1));
     70:   PetscCall(BVSetFromOptions(Y));
     71:   PetscCall(BVSetActiveColumns(Y,ly,ky));

     73:   /* Fill Y entries */
     74:   for (j=0;j<ky+1;j++) {
     75:     PetscCall(BVGetColumn(Y,j,&v));
     76:     PetscCall(VecSet(v,(PetscScalar)(j+1)/4.0));
     77:     PetscCall(BVRestoreColumn(Y,j,&v));
     78:   }
     79:   if (verbose) PetscCall(BVView(Y,view));

     81:   /* Create Mat */
     82:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,kx,ky,NULL,&Q));
     83:   PetscCall(PetscObjectSetName((PetscObject)Q,"Q"));
     84:   PetscCall(MatDenseGetArray(Q,&q));
     85:   for (i=0;i<kx;i++)
     86:     for (j=0;j<ky;j++)
     87:       q[i+j*kx] = (i<j)? 2.0: -0.5;
     88:   PetscCall(MatDenseRestoreArray(Q,&q));
     89:   if (verbose) PetscCall(MatView(Q,NULL));

     91:   /* Test BVResize */
     92:   PetscCall(BVResize(X,kx+4,PETSC_TRUE));

     94:   /* Test BVMult */
     95:   PetscCall(BVMult(Y,2.0,0.5,X,Q));
     96:   if (verbose) {
     97:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After BVMult - - - - - - - - -\n"));
     98:     PetscCall(BVView(Y,view));
     99:   }

    101:   /* Test BVMultVec */
    102:   PetscCall(BVGetColumn(Y,0,&v));
    103:   PetscCall(PetscMalloc1(kx-lx,&z));
    104:   z[0] = 2.0;
    105:   for (i=1;i<kx-lx;i++) z[i] = -0.5*z[i-1];
    106:   PetscCall(BVMultVec(X,-1.0,1.0,v,z));
    107:   PetscCall(PetscFree(z));
    108:   PetscCall(BVRestoreColumn(Y,0,&v));
    109:   if (verbose) {
    110:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After BVMultVec - - - - - - -\n"));
    111:     PetscCall(BVView(Y,view));
    112:   }

    114:   /* Test BVDot */
    115:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&M));
    116:   PetscCall(PetscObjectSetName((PetscObject)M,"M"));
    117:   PetscCall(BVDot(X,Y,M));
    118:   if (verbose) {
    119:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After BVDot - - - - - - - - -\n"));
    120:     PetscCall(MatView(M,NULL));
    121:   }

    123:   /* Test BVDotVec */
    124:   PetscCall(BVGetColumn(Y,0,&v));
    125:   PetscCall(PetscMalloc1(kx-lx,&z));
    126:   PetscCall(BVDotVec(X,v,z));
    127:   PetscCall(BVRestoreColumn(Y,0,&v));
    128:   if (verbose) {
    129:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After BVDotVec - - - - - - -\n"));
    130:     PetscCall(VecCreateSeqWithArray(PETSC_COMM_SELF,1,kx-lx,z,&v));
    131:     PetscCall(PetscObjectSetName((PetscObject)v,"z"));
    132:     PetscCall(VecView(v,view));
    133:     PetscCall(VecDestroy(&v));
    134:   }
    135:   PetscCall(PetscFree(z));

    137:   /* Test BVMultInPlace and BVScale */
    138:   PetscCall(PetscOptionsHasName(NULL,NULL,"-trans",&trans));
    139:   if (trans) {
    140:     Mat Qt;
    141:     PetscCall(MatTranspose(Q,MAT_INITIAL_MATRIX,&Qt));
    142:     PetscCall(BVMultInPlaceHermitianTranspose(X,Qt,lx+1,ky));
    143:     PetscCall(MatDestroy(&Qt));
    144:   } else PetscCall(BVMultInPlace(X,Q,lx+1,ky));
    145:   PetscCall(BVScale(X,2.0));
    146:   if (verbose) {
    147:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After BVMultInPlace - - - - -\n"));
    148:     PetscCall(BVView(X,view));
    149:   }

    151:   /* Test BVNorm */
    152:   PetscCall(BVNormColumn(X,lx,NORM_2,&nrm));
    153:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"2-Norm of X[%" PetscInt_FMT "] = %g\n",lx,(double)nrm));
    154:   PetscCall(BVNorm(X,NORM_FROBENIUS,&nrm));
    155:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Frobenius Norm of X = %g\n",(double)nrm));

    157:   PetscCall(BVDestroy(&X));
    158:   PetscCall(BVDestroy(&Y));
    159:   PetscCall(MatDestroy(&Q));
    160:   PetscCall(MatDestroy(&M));
    161:   PetscCall(VecDestroy(&t));
    162:   PetscCall(SlepcFinalize());
    163:   return 0;
    164: }

    166: /*TEST

    168:    testset:
    169:       output_file: output/test4_1.out
    170:       args: -n 18 -kx 12 -ky 8
    171:       test:
    172:          suffix: 1
    173:          args: -bv_type {{vecs contiguous svec mat}shared output}
    174:       test:
    175:          suffix: 1_vecs_vmip
    176:          args: -bv_type vecs -bv_vecs_vmip 1
    177:       test:
    178:          suffix: 1_cuda
    179:          args: -bv_type {{svec mat}} -vec_type cuda
    180:          requires: cuda
    181:       test:
    182:          suffix: 2
    183:          args: -bv_type {{vecs contiguous svec mat}shared output} -trans

    185: TEST*/