GCC Code Coverage Report

Directory: ./
File: src/svd/tutorials/ex45.c
Date: 2025-11-19 04:19:03
Exec Total Coverage
Lines: 83 84 98.8%
Functions: 1 1 100.0%
Branches: 279 418 66.7%
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[] = "Computes a partial generalized singular value decomposition (GSVD).\n\n"
12 "The command line options are:\n"
13 " -m <m>, where <m> = number of rows of A.\n"
14 " -n <n>, where <n> = number of columns of A.\n"
15 " -p <p>, where <p> = number of rows of B.\n\n";
16
17 #include <slepcsvd.h>
18
19 410 int main(int argc,char **argv)
20 {
21 410 Mat A,B; /* operator matrices */
22 410 Vec u,v,x; /* singular vectors */
23 410 SVD svd; /* singular value problem solver context */
24 410 SVDType type;
25 410 Vec uv,aux[2],*U,*V;
26 410 PetscReal error,tol,sigma,lev1=0.0,lev2=0.0;
27 410 PetscInt m=100,n,p=14,i,j,d,Istart,Iend,nsv,maxit,its,nconv;
28 410 PetscBool flg,skiporth=PETSC_FALSE;
29
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 410 PetscFunctionBeginUser;
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 410 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 410 PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL));
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 410 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,&flg));
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 410 if (!flg) n = m;
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 410 PetscCall(PetscOptionsGetInt(NULL,NULL,"-p",&p,&flg));
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 410 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized singular value decomposition, (%" PetscInt_FMT "+%" PetscInt_FMT ")x%" PetscInt_FMT "\n\n",m,p,n));
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 410 PetscCall(PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL));
39
40 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
41 Build the matrices
42 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
43
44
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 410 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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 410 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,m,n));
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 410 PetscCall(MatSetFromOptions(A));
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 410 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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 8260 for (i=Istart;i<Iend;i++) {
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 7850 if (i>0 && i-1<n) PetscCall(MatSetValue(A,i,i-1,-1.0,INSERT_VALUES));
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 7850 if (i+1<n) PetscCall(MatSetValue(A,i,i+1,-1.0,INSERT_VALUES));
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 7850 if (i<n) PetscCall(MatSetValue(A,i,i,2.0,INSERT_VALUES));
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 7850 if (i>n) PetscCall(MatSetValue(A,i,n-1,1.0,INSERT_VALUES));
54 }
55
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 410 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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 410 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
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 410 PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
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 410 PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,p,n));
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 410 PetscCall(MatSetFromOptions(B));
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 410 PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
63 410 d = PetscMax(0,n-p);
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 8760 for (i=Istart;i<Iend;i++) {
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 96610 for (j=0;j<=PetscMin(i,n-1);j++) PetscCall(MatSetValue(B,i,j+d,1.0,INSERT_VALUES));
66 }
67
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 410 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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 410 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
69
70 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
71 Create the singular value solver and set various options
72 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
73
74 /*
75 Create singular value solver context
76 */
77
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 410 PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd));
78
79 /*
80 Set operators and problem type
81 */
82
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 410 PetscCall(SVDSetOperators(svd,A,B));
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 410 PetscCall(SVDSetProblemType(svd,SVD_GENERALIZED));
84
85 /*
86 Set solver parameters at runtime
87 */
88
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 410 PetscCall(SVDSetFromOptions(svd));
89
90 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
91 Solve the singular value system
92 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
93
94
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 410 PetscCall(SVDSolve(svd));
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 410 PetscCall(SVDGetIterationNumber(svd,&its));
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 410 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of iterations of the method: %" PetscInt_FMT "\n",its));
97
98 /*
99 Optional: Get some information from the solver and display it
100 */
101
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 410 PetscCall(SVDGetType(svd,&type));
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 410 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type));
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 410 PetscCall(SVDGetDimensions(svd,&nsv,NULL,NULL));
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 410 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested generalized singular values: %" PetscInt_FMT "\n",nsv));
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 410 PetscCall(SVDGetTolerances(svd,&tol,&maxit));
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 410 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Stopping condition: tol=%.4g, maxit=%" PetscInt_FMT "\n",(double)tol,maxit));
107
108 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
109 Display solution and clean up
110 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
111
112 /*
113 Get number of converged singular triplets
114 */
115
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 410 PetscCall(SVDGetConverged(svd,&nconv));
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 410 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of converged approximate singular triplets: %" PetscInt_FMT "\n\n",nconv));
117
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 410 if (nconv>0) {
119 /*
120 Create vectors. The interface returns u and v as stacked on top of each other
121 [u;v] so need to create a special vector (VecNest) to extract them
122 */
123
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 410 PetscCall(MatCreateVecs(A,&x,&u));
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 410 PetscCall(MatCreateVecs(B,NULL,&v));
125 410 aux[0] = u;
126 410 aux[1] = v;
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 410 PetscCall(VecCreateNest(PETSC_COMM_WORLD,2,NULL,aux,&uv));
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 410 PetscCall(VecDuplicateVecs(u,nconv,&U));
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 410 PetscCall(VecDuplicateVecs(v,nconv,&V));
131
132 /*
133 Display singular values and errors relative to the norms
134 */
135
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 410 PetscCall(PetscPrintf(PETSC_COMM_WORLD,
136 " sigma ||r||/||[A;B]||\n"
137 " --------------------- ------------------\n"));
138
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 2380 for (i=0;i<nconv;i++) {
139 /*
140 Get converged singular triplets: i-th singular value is stored in sigma
141 */
142
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 1970 PetscCall(SVDGetSingularTriplet(svd,i,&sigma,uv,x));
143
144 /* at this point, u and v can be used normally as individual vectors */
145
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 1970 PetscCall(VecCopy(u,U[i]));
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 1970 PetscCall(VecCopy(v,V[i]));
147
148 /*
149 Compute the error associated to each singular triplet
150 */
151
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 1970 PetscCall(SVDComputeError(svd,i,SVD_ERROR_NORM,&error));
152
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 1970 PetscCall(PetscPrintf(PETSC_COMM_WORLD," % 6f ",(double)sigma));
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 1970 PetscCall(PetscPrintf(PETSC_COMM_WORLD," % 12g\n",(double)error));
155 }
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 410 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n"));
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 410 if (!skiporth) {
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 410 PetscCall(VecCheckOrthonormality(U,nconv,NULL,nconv,NULL,NULL,&lev1));
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 410 PetscCall(VecCheckOrthonormality(V,nconv,NULL,nconv,NULL,NULL,&lev2));
161 }
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 410 if (lev1+lev2<20*tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n"));
163 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g (U) %g (V)\n",(double)lev1,(double)lev2));
164
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 410 PetscCall(VecDestroyVecs(nconv,&U));
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 410 PetscCall(VecDestroyVecs(nconv,&V));
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 410 PetscCall(VecDestroy(&x));
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 410 PetscCall(VecDestroy(&u));
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 410 PetscCall(VecDestroy(&v));
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 410 PetscCall(VecDestroy(&uv));
170 }
171
172 /*
173 Free work space
174 */
175
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 410 PetscCall(SVDDestroy(&svd));
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 410 PetscCall(MatDestroy(&A));
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 410 PetscCall(MatDestroy(&B));
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 410 PetscCall(SlepcFinalize());
179 return 0;
180 }
181
182 /*TEST
183
184 testset:
185 filter: grep -v "Solution method" | grep -v "Number of iterations" | sed -e "s/, maxit=1[0]*$//" | sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
186 requires: double
187 test:
188 args: -svd_type lapack -m 20 -n 10 -p 6
189 suffix: 1
190 test:
191 args: -svd_type lapack -m 15 -n 20 -p 10 -svd_smallest
192 suffix: 2
193 test:
194 args: -svd_type lapack -m 15 -n 20 -p 21
195 suffix: 3
196 test:
197 args: -svd_type lapack -m 20 -n 15 -p 21
198 suffix: 4
199
200 testset:
201 args: -m 25 -n 20 -p 21 -svd_smallest -svd_nsv 2
202 filter: grep -v "Solution method" | grep -v "Number of iterations" | sed -e "s/, maxit=1[0]*$//" | sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
203 requires: double
204 output_file: output/ex45_5.out
205 test:
206 args: -svd_type trlanczos -svd_ncv 8 -svd_trlanczos_gbidiag {{upper lower}} -svd_trlanczos_oneside {{0 1}}
207 suffix: 5
208 test:
209 args: -svd_type cross -svd_ncv 10 -svd_cross_explicitmatrix
210 suffix: 5_cross
211 test:
212 args: -svd_type cross -svd_ncv 10 -svd_cross_eps_type krylovschur -svd_cross_st_type sinvert -svd_cross_eps_target 0 -svd_cross_st_ksp_type gmres -svd_cross_st_pc_type jacobi
213 suffix: 5_cross_implicit
214 test:
215 args: -svd_type cyclic -svd_ncv 12 -svd_cyclic_explicitmatrix {{0 1}}
216 suffix: 5_cyclic
217 requires: !complex
218
219 testset:
220 args: -m 15 -n 20 -p 21 -svd_nsv 4 -svd_ncv 9
221 filter: grep -v "Solution method" | grep -v "Number of iterations" | sed -e "s/7.884967/7.884968/" | sed -e "s/, maxit=1[0]*$//" | sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
222 requires: double
223 output_file: output/ex45_6.out
224 test:
225 args: -svd_type trlanczos -svd_trlanczos_gbidiag {{single upper lower}} -svd_trlanczos_locking {{0 1}} -svd_trlanczos_oneside {{0 1}}
226 suffix: 6
227 test:
228 args: -svd_type cross -svd_cross_explicitmatrix {{0 1}}
229 suffix: 6_cross
230
231 test:
232 args: -m 15 -n 20 -p 21 -svd_nsv 4 -svd_ncv 9 -svd_type cyclic -svd_cyclic_explicitmatrix {{0 1}}
233 filter: grep -v "Number of iterations" | sed -e "s/7.884967/7.884968/" | sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
234 requires: double
235 suffix: 6_cyclic
236 output_file: output/ex45_6_cyclic.out
237
238 testset:
239 args: -m 20 -n 15 -p 21 -svd_nsv 4 -svd_ncv 9
240 filter: grep -v "Solution method" | grep -v "Number of iterations" | sed -e "s/, maxit=1[0]*$//" | sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
241 requires: double
242 output_file: output/ex45_7.out
243 test:
244 args: -svd_type trlanczos -svd_trlanczos_gbidiag {{single upper lower}} -svd_trlanczos_restart 0.4 -svd_trlanczos_oneside {{0 1}}
245 suffix: 7
246 test:
247 args: -svd_type cross -svd_cross_explicitmatrix {{0 1}}
248 suffix: 7_cross
249
250 test:
251 args: -m 20 -n 15 -p 21 -svd_nsv 4 -svd_ncv 16 -svd_type cyclic -svd_cyclic_explicitmatrix {{0 1}}
252 filter: grep -v "Number of iterations" | sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
253 requires: double
254 suffix: 7_cyclic
255 output_file: output/ex45_7_cyclic.out
256
257 test:
258 args: -m 25 -n 20 -p 21 -svd_smallest -svd_nsv 2 -svd_ncv 5 -svd_type trlanczos -svd_trlanczos_gbidiag {{upper lower}} -svd_trlanczos_scale {{0.1 -20}}
259 filter: grep -v "Solution method" | grep -v "Number of iterations" | grep -v "Stopping condition" | sed -e "s/, maxit=1[0]*$//" | sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
260 suffix: 8
261
262 TEST*/
263