Actual source code: ex48.c

slepc-main 2024-12-17
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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[] = "Solves a GSVD problem with matrices loaded from a file.\n"
 12:   "The command line options are:\n"
 13:   "  -f1 <filename>, PETSc binary file containing matrix A.\n"
 14:   "  -f2 <filename>, PETSc binary file containing matrix B (optional). Instead of"
 15:   "     a file it is possible to specify one of 'identity', 'bidiagonal' or 'tridiagonal'"
 16:   "  -p <p>, in case B is not taken from a file.\n\n";

 18: #include <slepcsvd.h>

 20: int main(int argc,char **argv)
 21: {
 22:   Mat            A,B;             /* matrices */
 23:   SVD            svd;             /* singular value problem solver context */
 24:   PetscInt       i,m,n,p,Istart,Iend,col[3];
 25:   PetscScalar    vals[3];
 26:   char           filename[PETSC_MAX_PATH_LEN];
 27:   PetscViewer    viewer;
 28:   PetscBool      flg,terse;

 30:   PetscFunctionBeginUser;
 31:   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));

 33:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 34:         Load matrices that define the generalized singular value problem
 35:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 37:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized singular value problem stored in file.\n\n"));
 38:   PetscCall(PetscOptionsGetString(NULL,NULL,"-f1",filename,sizeof(filename),&flg));
 39:   PetscCheck(flg,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Must indicate a file name for matrix A with the -f1 option");

 41: #if defined(PETSC_USE_COMPLEX)
 42:   PetscCall(PetscPrintf(PETSC_COMM_WORLD," Reading COMPLEX matrix from a binary file...\n"));
 43: #else
 44:   PetscCall(PetscPrintf(PETSC_COMM_WORLD," Reading REAL matrix from a binary file...\n"));
 45: #endif
 46:   PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer));
 47:   PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
 48:   PetscCall(MatSetFromOptions(A));
 49:   PetscCall(MatLoad(A,viewer));
 50:   PetscCall(PetscViewerDestroy(&viewer));

 52:   PetscCall(MatGetSize(A,&m,&n));

 54:   PetscCall(PetscOptionsGetString(NULL,NULL,"-f2",filename,sizeof(filename),&flg));
 55:   PetscCheck(flg,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Must indicate a file name for matrix B with the -f2 option, or alternatively the strings 'identity', 'bidiagonal', or 'tridiagonal'");
 56:   PetscCall(PetscStrcmp(filename,"identity",&flg));
 57:   if (flg) {
 58:     p = n;
 59:     PetscCall(PetscOptionsGetInt(NULL,NULL,"-p",&p,&flg));
 60:     PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using B=I with p=%" PetscInt_FMT "\n\n",p));
 61:     PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
 62:     PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,p,n));
 63:     PetscCall(MatSetFromOptions(B));
 64:     PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
 65:     PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
 66:     PetscCall(MatShift(B,1.0));
 67:   } else {
 68:     PetscCall(PetscStrcmp(filename,"bidiagonal",&flg));
 69:     if (flg) {
 70:       p = n+1;
 71:       PetscCall(PetscOptionsGetInt(NULL,NULL,"-p",&p,&flg));
 72:       vals[0]=-1; vals[1]=1;
 73:       PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using B=bidiag(1,-1) with p=%" PetscInt_FMT "\n\n",p));
 74:       PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
 75:       PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,p,n));
 76:       PetscCall(MatSetFromOptions(B));
 77:       PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
 78:       for (i=Istart;i<Iend;i++) {
 79:         col[0]=i-1; col[1]=i;
 80:         if (i==0) PetscCall(MatSetValue(B,i,col[1],vals[1],INSERT_VALUES));
 81:         else if (i<n) PetscCall(MatSetValues(B,1,&i,2,col,vals,INSERT_VALUES));
 82:         else if (i==n) PetscCall(MatSetValue(B,i,col[0],vals[0],INSERT_VALUES));
 83:       }
 84:       PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
 85:       PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
 86:     } else {
 87:       PetscCall(PetscStrcmp(filename,"tridiagonal",&flg));
 88:       if (flg) {
 89:         p = n-2;
 90:         PetscCall(PetscOptionsGetInt(NULL,NULL,"-p",&p,&flg));
 91:         vals[0]=-1; vals[1]=2; vals[2]=-1;
 92:         PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using B=tridiag(-1,2,-1) with p=%" PetscInt_FMT "\n\n",p));
 93:         PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
 94:         PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,p,n));
 95:         PetscCall(MatSetFromOptions(B));
 96:         PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
 97:         for (i=Istart;i<Iend;i++) {
 98:           col[0]=i; col[1]=i+1; col[2]=i+2;
 99:           PetscCall(MatSetValues(B,1,&i,3,col,vals,INSERT_VALUES));
100:         }
101:         PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
102:         PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
103:       } else {  /* load file */
104:         PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer));
105:         PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
106:         PetscCall(MatSetFromOptions(B));
107:         PetscCall(MatLoad(B,viewer));
108:         PetscCall(PetscViewerDestroy(&viewer));
109:       }
110:     }
111:   }

113:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
114:            Create the singular value solver and set various options
115:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

117:   /*
118:      Create singular value solver context
119:   */
120:   PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd));

122:   /*
123:      Set operators of GSVD problem
124:   */
125:   PetscCall(SVDSetOperators(svd,A,B));
126:   PetscCall(SVDSetProblemType(svd,SVD_GENERALIZED));

128:   /*
129:      Set solver parameters at runtime
130:   */
131:   PetscCall(SVDSetFromOptions(svd));

133:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
134:                       Solve the problem and print solution
135:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

137:   PetscCall(SVDSolve(svd));

139:   /* show detailed info unless -terse option is given by user */
140:   PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
141:   if (terse) PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,NULL));
142:   else {
143:     PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
144:     PetscCall(SVDConvergedReasonView(svd,PETSC_VIEWER_STDOUT_WORLD));
145:     PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,PETSC_VIEWER_STDOUT_WORLD));
146:     PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
147:   }
148:   PetscCall(SVDDestroy(&svd));
149:   PetscCall(MatDestroy(&A));
150:   PetscCall(MatDestroy(&B));
151:   PetscCall(SlepcFinalize());
152:   return 0;
153: }
154: /*TEST

156:    testset:
157:       requires: double !complex !defined(PETSC_USE_64BIT_INDICES)
158:       args: -f1 ${SLEPC_DIR}/share/slepc/datafiles/matrices/bfw62a.petsc -f2 ${SLEPC_DIR}/share/slepc/datafiles/matrices/bfw62b.petsc -svd_nsv 3 -terse
159:       output_file: output/ex48_1.out
160:       test:
161:          suffix: 1
162:          args: -svd_type trlanczos -svd_trlanczos_explicitmatrix {{0 1}} -svd_trlanczos_scale 1e5 -svd_trlanczos_ksp_rtol 1e-15
163:       test:
164:          suffix: 1_spqr
165:          args: -svd_type trlanczos -svd_trlanczos_explicitmatrix -svd_trlanczos_pc_type qr -svd_trlanczos_scale 1e5 -svd_trlanczos_oneside {{0 1}}
166:          requires: suitesparse
167:       test:
168:          suffix: 1_autoscale
169:          args: -svd_type trlanczos -svd_trlanczos_gbidiag {{lower upper}} -svd_trlanczos_scale -5 -svd_trlanczos_ksp_rtol 1e-16 -svd_trlanczos_oneside {{0 1}}
170:       test:
171:          suffix: 1_cross
172:          args: -svd_type cross -svd_cross_explicitmatrix
173:       test:
174:          suffix: 1_cyclic
175:          args: -svd_type cyclic -svd_cyclic_explicitmatrix

177:    testset:
178:       requires: double complex datafilespath !defined(PETSC_USE_64BIT_INDICES)
179:       args: -f1 ${DATAFILESPATH}/matrices/complex/qc324.petsc -f2 bidiagonal -svd_nsv 3 -terse
180:       output_file: output/ex48_2.out
181:       filter: sed -e "s/30749/30748/"
182:       timeoutfactor: 2
183:       test:
184:          suffix: 2
185:          args: -svd_type trlanczos -svd_trlanczos_explicitmatrix {{0 1}} -svd_trlanczos_ksp_rtol 1e-10 -svd_trlanczos_scale 100
186:          requires: !defined(PETSCTEST_VALGRIND)
187:       test:
188:          suffix: 2_spqr
189:          args: -svd_type trlanczos -svd_trlanczos_explicitmatrix -svd_trlanczos_pc_type qr -svd_trlanczos_ksp_rtol 1e-10
190:          requires: suitesparse
191:       test:
192:          suffix: 2_cross
193:          args: -svd_type cross -svd_cross_explicitmatrix
194:       test:
195:          suffix: 2_cyclic
196:          args: -svd_type cyclic -svd_cyclic_explicitmatrix

198:    test:
199:       requires: double complex datafilespath !defined(PETSC_USE_64BIT_INDICES) !defined(PETSCTEST_VALGRIND)
200:       args: -f1 ${DATAFILESPATH}/matrices/complex/qc324.petsc -f2 bidiagonal -p 320 -svd_nsv 3 -svd_type trlanczos -svd_trlanczos_ksp_rtol 1e-14 -svd_trlanczos_scale 100 -terse
201:       timeoutfactor: 2
202:       suffix: 3

204:    testset:
205:       requires: double !complex !defined(PETSC_USE_64BIT_INDICES)
206:       args: -f1 ${SLEPC_DIR}/share/slepc/datafiles/matrices/rdb200.petsc -f2 identity -svd_nsv 3 -svd_ncv 24 -svd_smallest -terse
207:       output_file: output/ex48_4.out
208:       test:
209:          suffix: 4
210:          args: -svd_type trlanczos
211:       test:
212:          suffix: 4_spqr
213:          args: -svd_type trlanczos -svd_trlanczos_explicitmatrix -svd_trlanczos_pc_type qr
214:          requires: suitesparse
215:       test:
216:          suffix: 4_cross
217:          args: -svd_type cross -svd_cross_explicitmatrix
218:       test:
219:          suffix: 4_cross_implicit
220:          args: -svd_type cross -svd_cross_eps_type lobpcg -svd_cross_st_ksp_type cg -svd_cross_st_pc_type jacobi -svd_max_it 1000
221:       test:
222:          suffix: 4_cyclic
223:          args: -svd_type cyclic -svd_cyclic_explicitmatrix
224:       test:
225:          suffix: 4_hpddm
226:          nsize: 4
227:          args: -svd_type trlanczos -svd_trlanczos_explicitmatrix -svd_trlanczos_pc_type hpddm
228:          args: -prefix_push svd_trlanczos_pc_hpddm_ -levels_1_st_share_sub_ksp -levels_1_eps_nev 10 -levels_1_eps_threshold 0.005 -levels_1_pc_asm_type basic -define_subdomains -levels_1_pc_asm_sub_mat_type sbaij -levels_1_sub_pc_type cholesky -prefix_pop
229:          requires: hpddm

231:    testset:
232:       args: -f1 ${SLEPC_DIR}/share/slepc/datafiles/matrices/rdb200.petsc -f2 identity -svd_threshold_relative 0.87 -terse
233:       output_file: output/ex48_5.out
234:       requires: double !complex !defined(PETSC_USE_64BIT_INDICES)
235:       test:
236:          suffix: 5
237:          args: -svd_type trlanczos -svd_trlanczos_explicitmatrix -svd_trlanczos_scale 100 -svd_trlanczos_gbidiag {{lower upper single}}
238:       test:
239:          suffix: 5_cross
240:          args: -svd_type cross -svd_cross_explicitmatrix

242:    testset:
243:       args: -f1 ${DATAFILESPATH}/matrices/complex/qc324.petsc -f2 bidiagonal -svd_threshold_relative 0.3 -svd_ncv 8 -svd_tol 1e-7 -terse
244:       output_file: output/ex48_5_complex.out
245:       requires: double complex datafilespath !defined(PETSC_USE_64BIT_INDICES)
246:       test:
247:          suffix: 5_complex
248:          args: -svd_type trlanczos -svd_trlanczos_explicitmatrix -svd_trlanczos_scale 100 -svd_trlanczos_ksp_rtol 1e-6 -svd_trlanczos_gbidiag {{lower upper single}}
249:       test:
250:          suffix: 5_complex_cross
251:          args: -svd_type cross -svd_cross_explicitmatrix

253: TEST*/