Date: 2026-03-09T09:12:09+00:00

Actual source code: test9.c

      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 matrix projection.\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     17:   Vec            t,v;
     18:   Mat            B,G,H0,H1;
     19:   BV             X,Y,Z;
     20:   PetscInt       i,j,n=20,kx=6,lx=3,ky=5,ly=2,Istart,Iend,col[5];
     21:   PetscScalar    alpha,value[] = { -1, 1, 1, 1, 1 };
     22:   PetscViewer    view;
     23:   PetscReal      norm;
     24:   PetscBool      verbose;

     26:   PetscFunctionBeginUser;
     27:   PetscCall(SlepcInitialize(&argc,&argv,NULL,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,"Test BV projection (n=%" PetscInt_FMT ").\n",n));
     35:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"X has %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns).\n",kx,lx));
     36:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Y has %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns).\n",ky,ly));

     38:   /* Set up viewer */
     39:   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
     40:   if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));

     42:   /* Create non-symmetric matrix G (Toeplitz) */
     43:   PetscCall(MatCreate(PETSC_COMM_WORLD,&G));
     44:   PetscCall(MatSetSizes(G,PETSC_DECIDE,PETSC_DECIDE,n,n));
     45:   PetscCall(MatSetFromOptions(G));
     46:   PetscCall(PetscObjectSetName((PetscObject)G,"G"));

     48:   PetscCall(MatGetOwnershipRange(G,&Istart,&Iend));
     49:   for (i=Istart;i<Iend;i++) {
     50:     col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
     51:     if (i==0) PetscCall(MatSetValues(G,1,&i,PetscMin(4,n-i),col+1,value+1,INSERT_VALUES));
     52:     else PetscCall(MatSetValues(G,1,&i,PetscMin(5,n-i+1),col,value,INSERT_VALUES));
     53:   }
     54:   PetscCall(MatAssemblyBegin(G,MAT_FINAL_ASSEMBLY));
     55:   PetscCall(MatAssemblyEnd(G,MAT_FINAL_ASSEMBLY));
     56:   if (verbose) PetscCall(MatView(G,view));

     58:   /* Create symmetric matrix B (1-D Laplacian) */
     59:   PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
     60:   PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n));
     61:   PetscCall(MatSetFromOptions(B));
     62:   PetscCall(PetscObjectSetName((PetscObject)B,"B"));

     64:   PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
     65:   for (i=Istart;i<Iend;i++) {
     66:     if (i>0) PetscCall(MatSetValue(B,i,i-1,-1.0,INSERT_VALUES));
     67:     if (i<n-1) PetscCall(MatSetValue(B,i,i+1,-1.0,INSERT_VALUES));
     68:     PetscCall(MatSetValue(B,i,i,2.0,INSERT_VALUES));
     69:   }
     70:   PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
     71:   PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
     72:   PetscCall(MatCreateVecs(B,&t,NULL));
     73:   if (verbose) PetscCall(MatView(B,view));

     75:   /* Create BV object X */
     76:   PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
     77:   PetscCall(PetscObjectSetName((PetscObject)X,"X"));
     78:   PetscCall(BVSetSizesFromVec(X,t,kx+2));  /* two extra columns to test active columns */
     79:   PetscCall(BVSetFromOptions(X));

     81:   /* Fill X entries */
     82:   for (j=0;j<kx+2;j++) {
     83:     PetscCall(BVGetColumn(X,j,&v));
     84:     PetscCall(VecSet(v,0.0));
     85:     for (i=0;i<4;i++) {
     86:       if (i+j<n) {
     87: #if defined(PETSC_USE_COMPLEX)
     88:         alpha = PetscCMPLX((PetscReal)(3*i+j-2),(PetscReal)(2*i));
     89: #else
     90:         alpha = (PetscReal)(3*i+j-2);
     91: #endif
     92:         PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
     93:       }
     94:     }
     95:     PetscCall(VecAssemblyBegin(v));
     96:     PetscCall(VecAssemblyEnd(v));
     97:     PetscCall(BVRestoreColumn(X,j,&v));
     98:   }
     99:   if (verbose) PetscCall(BVView(X,view));

    101:   /* Duplicate BV object and store Z=G*X */
    102:   PetscCall(BVDuplicate(X,&Z));
    103:   PetscCall(PetscObjectSetName((PetscObject)Z,"Z"));
    104:   PetscCall(BVSetActiveColumns(X,0,kx));
    105:   PetscCall(BVSetActiveColumns(Z,0,kx));
    106:   PetscCall(BVMatMult(X,G,Z));
    107:   PetscCall(BVSetActiveColumns(X,lx,kx));
    108:   PetscCall(BVSetActiveColumns(Z,lx,kx));

    110:   /* Create BV object Y */
    111:   PetscCall(BVCreate(PETSC_COMM_WORLD,&Y));
    112:   PetscCall(PetscObjectSetName((PetscObject)Y,"Y"));
    113:   PetscCall(BVSetSizesFromVec(Y,t,ky+1));
    114:   PetscCall(BVSetFromOptions(Y));
    115:   PetscCall(BVSetActiveColumns(Y,ly,ky));

    117:   /* Fill Y entries */
    118:   for (j=0;j<ky+1;j++) {
    119:     PetscCall(BVGetColumn(Y,j,&v));
    120: #if defined(PETSC_USE_COMPLEX)
    121:     alpha = PetscCMPLX((PetscReal)(j+1)/4.0,-(PetscReal)j);
    122: #else
    123:     alpha = (PetscReal)(j+1)/4.0;
    124: #endif
    125:     PetscCall(VecSet(v,(PetscScalar)(j+1)/4.0));
    126:     PetscCall(BVRestoreColumn(Y,j,&v));
    127:   }
    128:   if (verbose) PetscCall(BVView(Y,view));

    130:   /* Test BVMatProject for non-symmetric matrix G */
    131:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H0));
    132:   PetscCall(PetscObjectSetName((PetscObject)H0,"H0"));
    133:   PetscCall(BVMatProject(X,G,Y,H0));
    134:   if (verbose) PetscCall(MatView(H0,view));

    136:   /* Test BVMatProject with previously stored G*X */
    137:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H1));
    138:   PetscCall(PetscObjectSetName((PetscObject)H1,"H1"));
    139:   PetscCall(BVMatProject(Z,NULL,Y,H1));
    140:   if (verbose) PetscCall(MatView(H1,view));

    142:   /* Check that H0 and H1 are equal */
    143:   PetscCall(MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN));
    144:   PetscCall(MatNorm(H0,NORM_1,&norm));
    145:   if (norm<10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n"));
    146:   else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm));
    147:   PetscCall(MatDestroy(&H0));
    148:   PetscCall(MatDestroy(&H1));

    150:   /* Test BVMatProject for symmetric matrix B with orthogonal projection */
    151:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H0));
    152:   PetscCall(PetscObjectSetName((PetscObject)H0,"H0"));
    153:   PetscCall(BVMatProject(X,B,X,H0));
    154:   if (verbose) PetscCall(MatView(H0,view));

    156:   /* Repeat previous test with symmetry flag set */
    157:   PetscCall(MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE));
    158:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H1));
    159:   PetscCall(PetscObjectSetName((PetscObject)H1,"H1"));
    160:   PetscCall(BVMatProject(X,B,X,H1));
    161:   if (verbose) PetscCall(MatView(H1,view));

    163:   /* Check that H0 and H1 are equal */
    164:   PetscCall(MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN));
    165:   PetscCall(MatNorm(H0,NORM_1,&norm));
    166:   if (norm<10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n"));
    167:   else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm));
    168:   PetscCall(MatDestroy(&H0));
    169:   PetscCall(MatDestroy(&H1));

    171:   PetscCall(BVDestroy(&X));
    172:   PetscCall(BVDestroy(&Y));
    173:   PetscCall(BVDestroy(&Z));
    174:   PetscCall(MatDestroy(&B));
    175:   PetscCall(MatDestroy(&G));
    176:   PetscCall(VecDestroy(&t));
    177:   PetscCall(SlepcFinalize());
    178:   return 0;
    179: }

    181: /*TEST

    183:    testset:
    184:       output_file: output/test9_1.out
    185:       test:
    186:          suffix: 1
    187:          args: -bv_type {{vecs contiguous svec mat}shared output}
    188:       test:
    189:          suffix: 1_svec_vecs
    190:          args: -bv_type svec -bv_matmult vecs
    191:       test:
    192:          suffix: 1_cuda
    193:          args: -bv_type {{svec mat}} -mat_type aijcusparse
    194:          requires: cuda
    195:       test:
    196:          suffix: 1_hip
    197:          args: -bv_type {{svec mat}} -mat_type aijhipsparse
    198:          requires: hip
    199:       test:
    200:          suffix: 2
    201:          nsize: 2
    202:          args: -bv_type {{vecs contiguous svec mat}shared output}
    203:       test:
    204:          suffix: 2_svec_vecs
    205:          nsize: 2
    206:          args: -bv_type svec -bv_matmult vecs

    208: TEST*/