Date: 2022-11-02T11:47:13+00:00

Actual source code: test3.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[] = "Test SVD with user-provided initial vectors.\n\n"
     12:   "The command line options are:\n"
     13:   "  -n <n>, where <n> = row dimension.\n"
     14:   "  -m <m>, where <m> = column dimension.\n\n";

     16: #include <slepcsvd.h>

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

     21:               |  1  1  1  1               |
     22:               | -1  1  1  1  1            |
     23:               |    -1  1  1  1  1         |
     24:           A = |       .  .  .  .  .       |
     25:               |          .  .  .  .  .    |
     26:               |            -1  1  1  1  1 |
     27:               |               -1  1  1  1 |

     29:  */

     31: int main(int argc,char **argv)
     32: {
     33:   Mat            A;               /* Grcar matrix */
     34:   SVD            svd;             /* singular value solver context */
     35:   Vec            v0,w0;           /* initial vectors */
     36:   Vec            *U,*V;
     37:   PetscInt       N=35,M=30,Istart,Iend,i,col[5],nconv;
     38:   PetscScalar    value[] = { -1, 1, 1, 1, 1 };
     39:   PetscReal      lev1=0.0,lev2=0.0,tol=PETSC_SMALL;
     40:   PetscBool      skiporth=PETSC_FALSE;

     43:   SlepcInitialize(&argc,&argv,(char*)0,help);
     44:   PetscOptionsGetInt(NULL,NULL,"-n",&N,NULL);
     45:   PetscOptionsGetInt(NULL,NULL,"-m",&M,NULL);
     46:   PetscPrintf(PETSC_COMM_WORLD,"\nSVD of a rectangular Grcar matrix, %" PetscInt_FMT "x%" PetscInt_FMT "\n\n",N,M);
     47:   PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL);

     49:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     50:         Generate the matrix
     51:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     53:   MatCreate(PETSC_COMM_WORLD,&A);
     54:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,M);
     55:   MatSetFromOptions(A);
     56:   MatSetUp(A);

     58:   MatGetOwnershipRange(A,&Istart,&Iend);
     59:   for (i=Istart;i<Iend;i++) {
     60:     col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
     61:     if (i==0) MatSetValues(A,1,&i,PetscMin(4,M-i+1),col+1,value+1,INSERT_VALUES);
     62:     else MatSetValues(A,1,&i,PetscMin(5,M-i+1),col,value,INSERT_VALUES);
     63:   }
     64:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     65:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

     67:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     68:              Create the SVD context and solve the problem
     69:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     71:   SVDCreate(PETSC_COMM_WORLD,&svd);
     72:   SVDSetOperators(svd,A,NULL);
     73:   SVDSetFromOptions(svd);

     75:   /*
     76:      Set the initial vectors. This is optional, if not done the initial
     77:      vectors are set to random values
     78:   */
     79:   MatCreateVecs(A,&v0,&w0);
     80:   VecSet(v0,1.0);
     81:   VecSet(w0,1.0);
     82:   SVDSetInitialSpaces(svd,1,&v0,1,&w0);

     84:   /*
     85:      Compute solution
     86:   */
     87:   SVDSolve(svd);
     88:   SVDErrorView(svd,SVD_ERROR_RELATIVE,NULL);

     90:   /*
     91:      Check orthonormality of computed singular vectors
     92:   */
     93:   SVDGetConverged(svd,&nconv);
     94:   if (nconv>1) {
     95:     VecDuplicateVecs(w0,nconv,&U);
     96:     VecDuplicateVecs(v0,nconv,&V);
     97:     for (i=0;i<nconv;i++) SVDGetSingularTriplet(svd,i,NULL,U[i],V[i]);
     98:     if (!skiporth) {
     99:       VecCheckOrthonormality(U,nconv,NULL,nconv,NULL,NULL,&lev1);
    100:       VecCheckOrthonormality(V,nconv,NULL,nconv,NULL,NULL,&lev2);
    101:     }
    102:     if (lev1+lev2<20*tol) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n");
    103:     else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g (U) %g (V)\n",(double)lev1,(double)lev2);
    104:     VecDestroyVecs(nconv,&U);
    105:     VecDestroyVecs(nconv,&V);
    106:   }

    108:   /*
    109:      Free work space
    110:   */
    111:   VecDestroy(&v0);
    112:   VecDestroy(&w0);
    113:   SVDDestroy(&svd);
    114:   MatDestroy(&A);
    115:   SlepcFinalize();
    116:   return 0;
    117: }

    119: /*TEST

    121:    testset:
    122:       args: -svd_nsv 4
    123:       output_file: output/test3_1.out
    124:       filter: sed -e "s/22176/22175/" | sed -e "s/21798/21797/" | sed -e "s/16826/16825/" | sed -e "s/15129/15128/"
    125:       test:
    126:          suffix: 1_lanczos
    127:          args: -svd_type lanczos
    128:       test:
    129:          suffix: 1_lanczos_one
    130:          args: -svd_type lanczos -svd_lanczos_oneside
    131:       test:
    132:          suffix: 1_trlanczos
    133:          args: -svd_type trlanczos -svd_trlanczos_locking {{0 1}}
    134:       test:
    135:          suffix: 1_trlanczos_one
    136:          args: -svd_type trlanczos -svd_trlanczos_oneside
    137:       test:
    138:          suffix: 1_trlanczos_one_mgs
    139:          args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs
    140:       test:
    141:          suffix: 1_trlanczos_one_always
    142:          args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always
    143:       test:
    144:          suffix: 1_cross
    145:          args: -svd_type cross
    146:       test:
    147:          suffix: 1_cross_exp
    148:          args: -svd_type cross -svd_cross_explicitmatrix
    149:       test:
    150:          suffix: 1_cyclic
    151:          args: -svd_type cyclic
    152:          requires: !__float128
    153:       test:
    154:          suffix: 1_cyclic_exp
    155:          args: -svd_type cyclic -svd_cyclic_explicitmatrix
    156:          requires: !__float128
    157:       test:
    158:          suffix: 1_lapack
    159:          args: -svd_type lapack
    160:       test:
    161:          suffix: 1_randomized
    162:          args: -svd_type randomized
    163:       test:
    164:          suffix: 1_primme
    165:          args: -svd_type primme
    166:          requires: primme

    168:    testset:
    169:       args: -svd_implicittranspose -svd_nsv 4 -svd_tol 1e-5
    170:       output_file: output/test3_1.out
    171:       filter: sed -e "s/22176/22175/" | sed -e "s/21798/21797/" | sed -e "s/16826/16825/" | sed -e "s/15129/15128/"
    172:       test:
    173:          suffix: 2_lanczos
    174:          args: -svd_type lanczos -svd_conv_norm
    175:       test:
    176:          suffix: 2_lanczos_one
    177:          args: -svd_type lanczos -svd_lanczos_oneside
    178:       test:
    179:          suffix: 2_trlanczos
    180:          args: -svd_type trlanczos
    181:       test:
    182:          suffix: 2_trlanczos_one
    183:          args: -svd_type trlanczos -svd_trlanczos_oneside
    184:       test:
    185:          suffix: 2_trlanczos_one_mgs
    186:          args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs
    187:       test:
    188:          suffix: 2_trlanczos_one_always
    189:          args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always
    190:       test:
    191:          suffix: 2_cross
    192:          args: -svd_type cross
    193:       test:
    194:          suffix: 2_cross_exp
    195:          args: -svd_type cross -svd_cross_explicitmatrix
    196:          requires: !complex
    197:       test:
    198:          suffix: 2_cyclic
    199:          args: -svd_type cyclic -svd_tol 1e-9
    200:          requires: double
    201:       test:
    202:          suffix: 2_lapack
    203:          args: -svd_type lapack
    204:       test:
    205:          suffix: 2_randomized
    206:          args: -svd_type randomized

    208:    testset:
    209:       args: -svd_nsv 4 -mat_type aijcusparse
    210:       requires: cuda
    211:       output_file: output/test3_1.out
    212:       filter: sed -e "s/22176/22175/" | sed -e "s/21798/21797/" | sed -e "s/16826/16825/" | sed -e "s/15129/15128/"
    213:       test:
    214:          suffix: 3_cuda_lanczos
    215:          args: -svd_type lanczos
    216:       test:
    217:          suffix: 3_cuda_lanczos_one
    218:          args: -svd_type lanczos -svd_lanczos_oneside
    219:       test:
    220:          suffix: 3_cuda_trlanczos
    221:          args: -svd_type trlanczos
    222:       test:
    223:          suffix: 3_cuda_trlanczos_one
    224:          args: -svd_type trlanczos -svd_trlanczos_oneside
    225:       test:
    226:          suffix: 3_cuda_trlanczos_one_mgs
    227:          args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs
    228:       test:
    229:          suffix: 3_cuda_trlanczos_one_always
    230:          args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always
    231:       test:
    232:          suffix: 3_cuda_cross
    233:          args: -svd_type cross
    234:       test:
    235:          suffix: 3_cuda_cyclic
    236:          args: -svd_type cyclic
    237:       test:
    238:          suffix: 3_cuda_cyclic_exp
    239:          args: -svd_type cyclic -svd_cyclic_explicitmatrix
    240:       test:
    241:          suffix: 3_cuda_randomized
    242:          args: -svd_type randomized

    244:    test:
    245:       suffix: 4
    246:       args: -svd_type lapack -svd_nsv 4
    247:       output_file: output/test3_1.out
    248:       filter: sed -e "s/15129/15128/"
    249:       nsize: 2

    251:    test:
    252:       suffix: 5
    253:       args: -svd_nsv 4 -svd_view_values draw -svd_monitor draw::draw_lg
    254:       requires: x
    255:       output_file: output/test3_1.out

    257: TEST*/