GCC Code Coverage Report

Directory: ./
File: src/sys/classes/ds/tests/test24.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 111 116 95.7%
Functions: 1 1 100.0%
Branches: 289 494 58.5%
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[] = "Test DSGSVD with compact storage and rectangular matrix A.\n\n";
12
13 #include <slepcds.h>
14
15 20 int main(int argc,char **argv)
16 {
17 20 DS ds;
18 20 Mat X;
19 20 Vec x0;
20 20 SlepcSC sc;
21 20 PetscReal *T,*D,sigma,rnorm,aux,cond;
22 20 PetscScalar *U,*V,*w,d;
23 20 PetscInt i,n=10,m,l=0,k=0,ld;
24 20 PetscViewer viewer;
25 20 PetscBool verbose,extrarow;
26
27
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 20 PetscFunctionBeginUser;
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 20 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 20 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 20 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type GSVD with compact storage - dimension %" PetscInt_FMT "x%" PetscInt_FMT ".\n",n+1,n));
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 20 PetscCall(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL));
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 20 PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
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 20 PetscCheck(l<=n && k<=n && l<=k,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Wrong value of dimensions");
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 20 PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
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 20 PetscCall(PetscOptionsHasName(NULL,NULL,"-extrarow",&extrarow));
36 20 m = n+1;
37
38 /* Create DS object */
39
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 20 PetscCall(DSCreate(PETSC_COMM_WORLD,&ds));
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 20 PetscCall(DSSetType(ds,DSGSVD));
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 20 PetscCall(DSSetFromOptions(ds));
42 20 ld = n+2; /* test leading dimension larger than n */
43
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 20 PetscCall(DSAllocate(ds,ld));
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 20 PetscCall(DSSetDimensions(ds,m,l,k));
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 20 PetscCall(DSGSVDSetDimensions(ds,n,n));
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 20 PetscCall(DSSetCompact(ds,PETSC_TRUE));
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 20 PetscCall(DSSetExtraRow(ds,extrarow));
48
49 /* Set up viewer */
50
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 20 PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
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 20 PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
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 20 PetscCall(DSView(ds,viewer));
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 20 PetscCall(PetscViewerPopFormat(viewer));
54
55 /* Fill A and B with lower/upper arrow-bidiagonal matrices
56 verifying that [A;B] has orthonormal columns */
57
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 20 PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T));
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 20 PetscCall(DSGetArrayReal(ds,DS_MAT_D,&D));
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 220 for (i=0;i<n;i++) T[i] = (PetscReal)(i+1)/(n+1); /* diagonal of matrix A */
60
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 100 for (i=0;i<k;i++) D[i] = PetscSqrtReal(1.0-T[i]*T[i]);
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 80 for (i=l;i<k;i++) {
62 60 T[i+ld] = PetscSqrtReal((1.0-T[k]*T[k])/(1.0+T[i]*T[i]/(D[i]*D[i])))*0.5*(1.0/k); /* upper diagonal of matrix A */
63 60 T[i+2*ld] = -T[i+ld]*T[i]/D[i]; /* upper diagonal of matrix B */
64 }
65 20 aux = 1.0-T[k]*T[k];
66
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 80 for (i=l;i<k;i++) aux -= T[i+ld]*T[i+ld]+T[i+2*ld]*T[i+2*ld];
67 20 T[k+ld] = PetscSqrtReal((1.0-aux)*.1);
68 20 aux -= T[k+ld]*T[k+ld];
69 20 D[k] = PetscSqrtReal(aux);
70
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 120 for (i=k+1;i<n;i++) {
71 100 T[i-1+2*ld] = -T[i-1+ld]*T[i]/D[i-1]; /* upper diagonal of matrix B */
72 100 aux = 1.0-T[i]*T[i]-T[2*ld+i-1]*T[2*ld+i-1];
73 100 T[i+ld] = PetscSqrtReal(aux)*.1; /* upper diagonal of matrix A */
74 100 D[i] = PetscSqrtReal(aux-T[i+ld]*T[i+ld]);
75 }
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 20 if (extrarow) { T[n]=-1.0; T[n-1+2*ld]=1.0; }
77 /* Fill locked eigenvalues */
78
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 20 PetscCall(PetscMalloc1(n,&w));
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 40 for (i=0;i<l;i++) w[i] = T[i]/D[i];
80
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 20 PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T));
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 20 PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&D));
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 20 if (l==0 && k==0) PetscCall(DSSetState(ds,DS_STATE_INTERMEDIATE));
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 20 else PetscCall(DSSetState(ds,DS_STATE_RAW));
84
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 20 if (verbose) {
85 ✗ PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
86 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n"));
87 ✗ PetscCall(DSView(ds,viewer));
88 }
89
90 /* Condition number */
91
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 20 PetscCall(DSCond(ds,&cond));
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 20 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Condition number = %.3f\n",(double)cond));
93
94 /* Solve */
95
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 20 PetscCall(DSGetSlepcSC(ds,&sc));
96 20 sc->comparison = SlepcCompareLargestReal;
97 20 sc->comparisonctx = NULL;
98 20 sc->map = NULL;
99 20 sc->mapobj = NULL;
100
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 20 PetscCall(DSSolve(ds,w,NULL));
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 20 PetscCall(DSSort(ds,w,NULL,NULL,NULL,NULL));
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 20 if (extrarow) PetscCall(DSUpdateExtraRow(ds));
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 20 PetscCall(DSSynchronize(ds,w,NULL));
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 20 if (verbose) {
105 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n"));
106 ✗ PetscCall(DSView(ds,viewer));
107 }
108
109 /* Print singular values */
110
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 20 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed singular values =\n"));
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 220 for (i=0;i<n;i++) {
112 200 sigma = PetscRealPart(w[i]);
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 200 PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)sigma));
114 }
115
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 20 if (extrarow) {
117 /* Check that extra row is correct */
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 10 PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T));
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 10 PetscCall(DSGetArray(ds,DS_MAT_U,&U));
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 10 PetscCall(DSGetArray(ds,DS_MAT_V,&V));
121 d = 0.0;
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 110 for (i=0;i<n;i++) d += T[i+ld]+U[n+i*ld];
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 10 if (PetscAbsScalar(d)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: there is a mismatch in A's extra row of %g\n",(double)PetscAbsScalar(d)));
124 10 d = 0.0;
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 110 for (i=0;i<n;i++) d += T[i+2*ld]-V[n-1+i*ld];
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 10 if (PetscAbsScalar(d)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: there is a mismatch in B's extra row of %g\n",(double)PetscAbsScalar(d)));
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 10 PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T));
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 10 PetscCall(DSRestoreArray(ds,DS_MAT_U,&U));
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 10 PetscCall(DSRestoreArray(ds,DS_MAT_V,&V));
130 }
131
132 /* Singular vectors */
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 20 PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all singular vectors */
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 20 PetscCall(DSGetMat(ds,DS_MAT_X,&X));
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 20 PetscCall(MatCreateVecs(X,NULL,&x0));
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 20 PetscCall(MatGetColumnVector(X,x0,0));
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 20 PetscCall(VecNorm(x0,NORM_2,&rnorm));
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 20 PetscCall(DSRestoreMat(ds,DS_MAT_X,&X));
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 20 PetscCall(VecDestroy(&x0));
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 20 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st X vector = %.3f\n",(double)rnorm));
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 20 PetscCall(DSGetMat(ds,DS_MAT_U,&X));
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 20 PetscCall(MatCreateVecs(X,NULL,&x0));
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 20 PetscCall(MatGetColumnVector(X,x0,0));
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 20 PetscCall(VecNorm(x0,NORM_2,&rnorm));
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 20 PetscCall(DSRestoreMat(ds,DS_MAT_U,&X));
147
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 20 PetscCall(VecDestroy(&x0));
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 20 if (PetscAbs(rnorm-1.0)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the 1st U vector has norm %g\n",(double)rnorm));
149
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 20 PetscCall(DSGetMat(ds,DS_MAT_V,&X));
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 20 PetscCall(MatCreateVecs(X,NULL,&x0));
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 20 PetscCall(MatGetColumnVector(X,x0,0));
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 20 PetscCall(VecNorm(x0,NORM_2,&rnorm));
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 20 PetscCall(DSRestoreMat(ds,DS_MAT_V,&X));
155
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 20 PetscCall(VecDestroy(&x0));
156
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 20 if (PetscAbs(rnorm-1.0)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the 1st V vector has norm %g\n",(double)rnorm));
157
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 20 PetscCall(PetscFree(w));
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 20 PetscCall(DSDestroy(&ds));
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 20 PetscCall(SlepcFinalize());
161 return 0;
162 }
163
164 /*TEST
165
166 testset:
167 requires: double
168 output_file: output/test24_1.out
169 test:
170 suffix: 1
171 args: -l 1 -k 4
172 test:
173 suffix: 1_extrarow
174 filter: sed -e "s/extrarow//"
175 args: -l 1 -k 4 -extrarow
176
177 TEST*/
178