GCC Code Coverage Report

Directory: ./
File: src/svd/tutorials/ex52.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 80 85 94.1%
Functions: 1 1 100.0%
Branches: 254 420 60.5%
Line Branch Exec Source
1 /*
2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3 SLEPc - Scalable Library for Eigenvalue Problem Computations
4 Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
5
6 This file is part of SLEPc.
7 SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9 */
10
11 static char help[] = "Partial hyperbolic singular value decomposition (HSVD) from a file.\n\n"
12 "The command line options are:\n"
13 " -file <filename>, PETSc binary file containing matrix A.\n"
14 " -p <p>, where <p> = number of -1's in signature.\n"
15 " -transpose, to transpose the matrix before doing the computation.\n\n";
16
17 #include <slepcsvd.h>
18
19 132 int main(int argc,char **argv)
20 {
21 132 Mat A,Omega; /* operator matrix, signature matrix */
22 132 SVD svd; /* singular value problem solver context */
23 132 Mat At;
24 132 Vec u,v,vomega,*U,*V;
25 132 MatType Atype;
26 132 PetscReal tol,lev1=0.0,lev2=0.0;
27 132 PetscInt M,N,p=0,i,Istart,Iend,nconv,nsv;
28 132 char filename[PETSC_MAX_PATH_LEN];
29 132 PetscViewer viewer;
30 132 PetscBool flg,terse,skiporth=PETSC_FALSE,transpose=PETSC_FALSE;
31
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 132 PetscFunctionBeginUser;
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 132 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
34
35 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
36 Load matrix that defines the hyperbolic singular value problem
37 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
38
39
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 132 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nHyperbolic singular value problem stored in file.\n\n"));
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 132 PetscCall(PetscOptionsGetString(NULL,NULL,"-file",filename,sizeof(filename),&flg));
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 132 PetscCheck(flg,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Must indicate a file name for matrix A with the -file option");
42
43 #if defined(PETSC_USE_COMPLEX)
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 45 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Reading COMPLEX matrix from a binary file...\n"));
45 #else
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 87 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Reading REAL matrix from a binary file...\n"));
47 #endif
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 132 PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer));
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 132 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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 132 PetscCall(MatSetFromOptions(A));
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 132 PetscCall(MatLoad(A,viewer));
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 132 PetscCall(PetscViewerDestroy(&viewer));
53
54 /* transpose the matrix if requested */
55
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 132 PetscCall(PetscOptionsGetBool(NULL,NULL,"-transpose",&transpose,NULL));
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 132 if (transpose) {
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 48 PetscCall(MatHermitianTranspose(A,MAT_INITIAL_MATRIX,&At));
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 48 PetscCall(MatDestroy(&A));
59 48 A = At;
60 }
61
62 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
63 Create the signature
64 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
65
66
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 132 PetscCall(MatGetSize(A,&M,&N));
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 132 PetscCall(PetscOptionsGetInt(NULL,NULL,"-p",&p,&flg));
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 132 PetscCheck(p>=0,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Parameter p cannot be negative");
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 132 PetscCheck(p<M,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Parameter p cannot be larger than the number of rows of A");
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 132 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n Matrix dimensions: %" PetscInt_FMT "x%" PetscInt_FMT,M,N));
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 132 PetscCall(PetscPrintf(PETSC_COMM_WORLD,", using signature Omega=blkdiag(-I_%" PetscInt_FMT ",I_%" PetscInt_FMT ")\n\n",p,M-p));
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 132 PetscCall(MatCreateVecs(A,NULL,&vomega));
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 132 PetscCall(VecSet(vomega,1.0));
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 132 PetscCall(VecGetOwnershipRange(vomega,&Istart,&Iend));
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 73020 for (i=Istart;i<Iend;i++) {
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 72888 if (i<p) PetscCall(VecSetValue(vomega,i,-1.0,INSERT_VALUES));
78 }
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 132 PetscCall(VecAssemblyBegin(vomega));
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 132 PetscCall(VecAssemblyEnd(vomega));
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 132 PetscCall(MatGetType(A,&Atype));
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 132 PetscCall(MatCreate(PETSC_COMM_WORLD,&Omega));
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 132 PetscCall(MatSetSizes(Omega,PETSC_DECIDE,PETSC_DECIDE,M,M));
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 132 PetscCall(MatSetType(Omega,Atype));
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 132 PetscCall(MatDiagonalSet(Omega,vomega,INSERT_VALUES));
87
88 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
89 Create the singular value solver and set various options
90 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
91
92
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 132 PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd));
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 132 PetscCall(SVDSetOperators(svd,A,NULL));
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 132 PetscCall(SVDSetSignature(svd,vomega));
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 132 PetscCall(SVDSetProblemType(svd,SVD_HYPERBOLIC));
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 132 PetscCall(SVDSetFromOptions(svd));
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 132 PetscCall(SVDIsHyperbolic(svd,&flg));
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 132 PetscCheck(flg,PetscObjectComm((PetscObject)(svd)),PETSC_ERR_COR,"Problem should be hyperbolic");
102
103 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
104 Solve the problem, display solution
105 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
106
107
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 132 PetscCall(MatCreateVecs(A,&v,&u));
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 132 PetscCall(VecSet(u,1.0));
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 132 PetscCall(VecSet(v,1.0));
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 132 PetscCall(SVDSolve(svd));
111
112 /* show detailed info unless -terse option is given by user */
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 132 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 132 if (terse) PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,NULL));
115 else {
116 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
117 ✗ PetscCall(SVDConvergedReasonView(svd,PETSC_VIEWER_STDOUT_WORLD));
118 ✗ PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,PETSC_VIEWER_STDOUT_WORLD));
119 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
120 }
121
122 /* check orthogonality */
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 132 PetscCall(PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL));
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 132 PetscCall(SVDGetConverged(svd,&nconv));
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 132 PetscCall(SVDGetDimensions(svd,&nsv,NULL,NULL));
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 132 if (nsv) nconv = PetscMin(nconv,nsv);
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 132 if (nconv>0 && !skiporth) {
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 132 PetscCall(SVDGetTolerances(svd,&tol,NULL));
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 132 PetscCall(VecDuplicateVecs(u,nconv,&U));
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 132 PetscCall(VecDuplicateVecs(v,nconv,&V));
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 3472 for (i=0;i<nconv;i++) PetscCall(SVDGetSingularTriplet(svd,i,NULL,U[i],V[i]));
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 132 PetscCall(VecCheckOrthonormality(U,nconv,NULL,nconv,Omega,NULL,&lev1));
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 132 PetscCall(VecCheckOrthonormality(V,nconv,NULL,nconv,NULL,NULL,&lev2));
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 132 if (lev1+lev2<20*tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n"));
135 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g (U) %g (V)\n",(double)lev1,(double)lev2));
136
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 132 PetscCall(VecDestroyVecs(nconv,&U));
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 132 PetscCall(VecDestroyVecs(nconv,&V));
138 }
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 132 PetscCall(VecDestroy(&u));
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 132 PetscCall(VecDestroy(&v));
141
142 /* free work space */
143
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 132 PetscCall(SVDDestroy(&svd));
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 132 PetscCall(MatDestroy(&A));
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 132 PetscCall(MatDestroy(&Omega));
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 132 PetscCall(VecDestroy(&vomega));
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 132 PetscCall(SlepcFinalize());
148 return 0;
149 }
150
151 /*TEST
152
153 testset:
154 args: -file ${DATAFILESPATH}/matrices/real/illc1033.petsc -svd_nsv 62 -p 40 -terse
155 requires: double !complex datafilespath !defined(PETSC_USE_64BIT_INDICES)
156 filter: grep -v Reading
157 output_file: output/ex52_1.out
158 test:
159 args: -svd_type cross -svd_cross_explicitmatrix {{0 1}} -svd_implicittranspose {{0 1}}
160 suffix: 1_cross
161 test:
162 args: -svd_type cyclic -svd_cyclic_explicitmatrix {{0 1}} -svd_ncv 300
163 suffix: 1_cyclic
164 test:
165 args: -svd_type trlanczos -svd_trlanczos_explicitmatrix {{0 1}}
166 suffix: 1_trlanczos
167 test:
168 args: -svd_type lapack
169 suffix: 1_lapack
170
171 testset:
172 args: -file ${DATAFILESPATH}/matrices/real/illc1033.petsc -transpose -svd_nsv 6 -p 130 -terse
173 requires: double !complex datafilespath !defined(PETSC_USE_64BIT_INDICES)
174 filter: grep -v Reading
175 output_file: output/ex52_2.out
176 test:
177 args: -svd_type cross -svd_cross_explicitmatrix {{0 1}} -svd_implicittranspose {{0 1}} -svd_ncv 100
178 suffix: 2_cross
179 test:
180 args: -svd_type cyclic -svd_cyclic_explicitmatrix {{0 1}} -svd_ncv 25
181 suffix: 2_cyclic
182 test:
183 args: -svd_type trlanczos -svd_trlanczos_explicitmatrix {{0 1}} -svd_implicittranspose {{0 1}}
184 suffix: 2_trlanczos
185
186 testset:
187 args: -file ${DATAFILESPATH}/matrices/complex/illc1033.petsc -svd_nsv 62 -p 40 -terse
188 requires: double complex datafilespath !defined(PETSC_USE_64BIT_INDICES)
189 filter: grep -v Reading
190 output_file: output/ex52_1.out
191 test:
192 args: -svd_type cross -svd_cross_explicitmatrix {{0 1}}
193 suffix: 3_cross
194 test:
195 args: -svd_type cyclic -svd_cyclic_explicitmatrix {{0 1}} -svd_cyclic_bv_definite_tol 1e-13 -svd_cyclic_st_ksp_type gcr -svd_cyclic_st_pc_type jacobi -svd_ncv 250
196 suffix: 3_cyclic
197 test:
198 args: -svd_type trlanczos -svd_trlanczos_explicitmatrix {{0 1}} -bv_definite_tol 1e-13
199 suffix: 3_trlanczos
200 test:
201 args: -svd_type lapack
202 suffix: 3_lapack
203
204 testset:
205 args: -file ${DATAFILESPATH}/matrices/complex/illc1033.petsc -transpose -svd_nsv 6 -p 130 -terse
206 requires: double complex datafilespath !defined(PETSC_USE_64BIT_INDICES)
207 filter: grep -v Reading
208 output_file: output/ex52_2.out
209 test:
210 args: -svd_type cross -svd_cross_explicitmatrix {{0 1}} -svd_ncv 100 -svd_cross_bv_definite_tol 1e-14
211 suffix: 4_cross
212 test:
213 args: -svd_type cyclic -svd_cyclic_explicitmatrix {{0 1}} -svd_ncv 26
214 suffix: 4_cyclic
215 test:
216 args: -svd_type trlanczos -svd_trlanczos_explicitmatrix {{0 1}}
217 suffix: 4_trlanczos
218
219 testset:
220 args: -file ${SLEPC_DIR}/share/slepc/datafiles/matrices/rdb200.petsc -svd_smallest -svd_nsv 3 -p 1 -terse
221 requires: double !complex !defined(PETSC_USE_64BIT_INDICES)
222 filter: grep -v Reading
223 output_file: output/ex52_5.out
224 test:
225 args: -svd_type cross -svd_max_it 1000 -svd_cross_bv_definite_tol 1e-14
226 suffix: 5_cross
227 test:
228 args: -svd_type cyclic -svd_max_it 4000 -svd_ncv 36 -svd_cyclic_st_ksp_type preonly -svd_cyclic_st_pc_type jacobi -svd_cyclic_bv_definite_tol 1e-14 -svd_cyclic_eps_krylovschur_restart .7
229 suffix: 5_cyclic
230 test:
231 args: -svd_type trlanczos -svd_max_it 4000 -svd_ncv 28 -bv_definite_tol 1e-14
232 suffix: 5_trlanczos
233 test:
234 args: -svd_type lapack
235 suffix: 5_lapack
236
237 testset:
238 args: -svd_type {{trlanczos cross}} -terse -p 100
239 test:
240 suffix: 6
241 filter: sed -e "s/27.29445, 27.29445/27.29445/"
242 args: -file ${SLEPC_DIR}/share/slepc/datafiles/matrices/rdb200.petsc -svd_threshold_relative 0.8
243 requires: double !complex !defined(PETSC_USE_64BIT_INDICES)
244 test:
245 suffix: 6_complex
246 args: -file ${DATAFILESPATH}/matrices/complex/qc324.petsc -svd_threshold_relative 0.6
247 requires: double complex datafilespath !defined(PETSC_USE_64BIT_INDICES)
248
249 TEST*/
250