GCC Code Coverage Report

Directory: ./
File: src/eps/tests/test22.c
Date: 2025-11-19 04:19:03
Exec Total Coverage
Lines: 123 124 99.2%
Functions: 2 2 100.0%
Branches: 376 578 65.1%
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[] = "Illustrates how to obtain invariant subspaces.\n\n"
12 "Based on ex9.\n"
13 "The command line options are:\n"
14 " -n <n>, where <n> = block dimension of the 2x2 block matrix.\n"
15 " -L <L>, where <L> = bifurcation parameter.\n"
16 " -alpha <alpha>, -beta <beta>, -delta1 <delta1>, -delta2 <delta2>,\n"
17 " where <alpha> <beta> <delta1> <delta2> = model parameters.\n\n";
18
19 #include <slepceps.h>
20
21 /*
22 This example computes the eigenvalues with largest real part of the
23 following matrix
24
25 A = [ tau1*T+(beta-1)*I alpha^2*I
26 -beta*I tau2*T-alpha^2*I ],
27
28 where
29
30 T = tridiag{1,-2,1}
31 h = 1/(n+1)
32 tau1 = delta1/(h*L)^2
33 tau2 = delta2/(h*L)^2
34 */
35
36 /* Matrix operations */
37 PetscErrorCode MatMult_Brussel(Mat,Vec,Vec);
38
39 typedef struct {
40 Mat T;
41 Vec x1,x2,y1,y2;
42 PetscScalar alpha,beta,tau1,tau2,sigma;
43 } CTX_BRUSSEL;
44
45 80 int main(int argc,char **argv)
46 {
47 80 EPS eps;
48 80 Mat A;
49 80 Vec *Q,v;
50 80 PetscScalar delta1,delta2,L,h,kr,ki;
51 80 PetscReal errest,tol,re,im,lev;
52 80 PetscInt N=30,n,i,j,Istart,Iend,nev,nconv;
53 80 CTX_BRUSSEL *ctx;
54 80 PetscBool errok,trueres;
55
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 80 PetscFunctionBeginUser;
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 80 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 80 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&N,NULL));
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 80 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nBrusselator wave model, n=%" PetscInt_FMT "\n\n",N));
60
61 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
62 Generate the matrix
63 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
64
65
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 80 PetscCall(PetscNew(&ctx));
66 80 ctx->alpha = 2.0;
67 80 ctx->beta = 5.45;
68 80 delta1 = 0.008;
69 80 delta2 = 0.004;
70 80 L = 0.51302;
71
72
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 80 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-L",&L,NULL));
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 80 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-alpha",&ctx->alpha,NULL));
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 80 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-beta",&ctx->beta,NULL));
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 80 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-delta1",&delta1,NULL));
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 80 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-delta2",&delta2,NULL));
77
78 /* Create matrix T */
79
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 80 PetscCall(MatCreate(PETSC_COMM_WORLD,&ctx->T));
80
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 80 PetscCall(MatSetSizes(ctx->T,PETSC_DECIDE,PETSC_DECIDE,N,N));
81
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 80 PetscCall(MatSetFromOptions(ctx->T));
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 80 PetscCall(MatGetOwnershipRange(ctx->T,&Istart,&Iend));
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 3480 for (i=Istart;i<Iend;i++) {
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 3400 if (i>0) PetscCall(MatSetValue(ctx->T,i,i-1,1.0,INSERT_VALUES));
85
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 3400 if (i<N-1) PetscCall(MatSetValue(ctx->T,i,i+1,1.0,INSERT_VALUES));
86
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 3400 PetscCall(MatSetValue(ctx->T,i,i,-2.0,INSERT_VALUES));
87 }
88
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 80 PetscCall(MatAssemblyBegin(ctx->T,MAT_FINAL_ASSEMBLY));
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 80 PetscCall(MatAssemblyEnd(ctx->T,MAT_FINAL_ASSEMBLY));
90
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 80 PetscCall(MatGetLocalSize(ctx->T,&n,NULL));
91
92 /* Fill the remaining information in the shell matrix context
93 and create auxiliary vectors */
94 80 h = 1.0 / (PetscReal)(N+1);
95 80 ctx->tau1 = delta1 / ((h*L)*(h*L));
96 80 ctx->tau2 = delta2 / ((h*L)*(h*L));
97 80 ctx->sigma = 0.0;
98
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 80 PetscCall(VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,PETSC_DECIDE,NULL,&ctx->x1));
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 80 PetscCall(VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,PETSC_DECIDE,NULL,&ctx->x2));
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 80 PetscCall(VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,PETSC_DECIDE,NULL,&ctx->y1));
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 80 PetscCall(VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,PETSC_DECIDE,NULL,&ctx->y2));
102
103 /* Create the shell matrix */
104
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 80 PetscCall(MatCreateShell(PETSC_COMM_WORLD,2*n,2*n,2*N,2*N,(void*)ctx,&A));
105
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 80 PetscCall(MatShellSetOperation(A,MATOP_MULT,(PetscErrorCodeFn*)MatMult_Brussel));
106
107 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
108 Create the eigensolver and solve the problem
109 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
110
111
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 80 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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 80 PetscCall(EPSSetOperators(eps,A,NULL));
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 80 PetscCall(EPSSetProblemType(eps,EPS_NHEP));
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 80 PetscCall(EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL));
115
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 80 PetscCall(EPSSetTrueResidual(eps,PETSC_FALSE));
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 80 PetscCall(EPSSetFromOptions(eps));
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 80 PetscCall(EPSSolve(eps));
118
119
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 80 PetscCall(EPSGetTrueResidual(eps,&trueres));
120 /*if (trueres) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Computing true residuals explicitly\n\n"));*/
121
122 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
123 Display solution and clean up
124 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
125
126
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 80 PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
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 80 PetscCall(EPSGetTolerances(eps,&tol,NULL));
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 80 PetscCall(EPSGetConverged(eps,&nconv));
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 80 if (nconv<nev) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Problem: less than %" PetscInt_FMT " eigenvalues converged\n\n",nev));
130 else {
131 /* Check that all converged eigenpairs satisfy the requested tolerance
132 (in this example we use the solver's error estimate instead of computing
133 the residual norm explicitly) */
134 errok = PETSC_TRUE;
135
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 400 for (i=0;i<nev;i++) {
136
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 320 PetscCall(EPSGetErrorEstimate(eps,i,&errest));
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 320 PetscCall(EPSGetEigenpair(eps,i,&kr,&ki,NULL,NULL));
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 320 errok = (errok && errest<5.0*SlepcAbsEigenvalue(kr,ki)*tol)? PETSC_TRUE: PETSC_FALSE;
139 }
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 80 if (!errok) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Problem: some of the first %" PetscInt_FMT " relative errors are higher than the tolerance\n\n",nev));
141 else {
142
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 80 PetscCall(PetscPrintf(PETSC_COMM_WORLD," All requested eigenvalues computed up to the required tolerance:"));
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 160 for (i=0;i<=(nev-1)/8;i++) {
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 80 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n "));
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 400 for (j=0;j<PetscMin(8,nev-8*i);j++) {
146
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 320 PetscCall(EPSGetEigenpair(eps,8*i+j,&kr,&ki,NULL,NULL));
147 #if defined(PETSC_USE_COMPLEX)
148 160 re = PetscRealPart(kr);
149 160 im = PetscImaginaryPart(kr);
150 #else
151 160 re = kr;
152 160 im = ki;
153 #endif
154
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 320 if (im!=0.0 && PetscAbs(re)/PetscAbs(im)<PETSC_SMALL) re = 0.0;
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 320 if (re!=0.0 && PetscAbs(im)/PetscAbs(re)<PETSC_SMALL) im = 0.0;
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 220 if (im!=0.0) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"%.5f%+.5fi",(double)re,(double)im));
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 200 else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"%.5f",(double)re));
158
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 320 if (8*i+j+1<nev) PetscCall(PetscPrintf(PETSC_COMM_WORLD,", "));
159 }
160 }
161
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 80 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n\n"));
162 }
163 }
164
165 /* Get an orthogonal basis of the invariant subspace and check it is indeed
166 orthogonal (note that eigenvectors are not orthogonal in this case) */
167
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 80 if (nconv>1) {
168
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 80 PetscCall(MatCreateVecs(A,&v,NULL));
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 80 PetscCall(VecDuplicateVecs(v,nconv,&Q));
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 80 PetscCall(EPSGetInvariantSubspace(eps,Q));
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 80 PetscCall(VecCheckOrthonormality(Q,nconv,NULL,nconv,NULL,NULL,&lev));
172
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 80 if (lev<10*tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n"));
173 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev));
174
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 80 PetscCall(VecDestroyVecs(nconv,&Q));
175
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 80 PetscCall(VecDestroy(&v));
176 }
177
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 80 PetscCall(EPSDestroy(&eps));
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 80 PetscCall(MatDestroy(&A));
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 80 PetscCall(MatDestroy(&ctx->T));
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 80 PetscCall(VecDestroy(&ctx->x1));
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 80 PetscCall(VecDestroy(&ctx->x2));
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 80 PetscCall(VecDestroy(&ctx->y1));
184
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 80 PetscCall(VecDestroy(&ctx->y2));
185
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 80 PetscCall(PetscFree(ctx));
186
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 80 PetscCall(SlepcFinalize());
187 return 0;
188 }
189
190 63040 PetscErrorCode MatMult_Brussel(Mat A,Vec x,Vec y)
191 {
192 63040 PetscInt n;
193 63040 const PetscScalar *px;
194 63040 PetscScalar *py;
195 63040 CTX_BRUSSEL *ctx;
196
197
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 63040 PetscFunctionBeginUser;
198
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 63040 PetscCall(MatShellGetContext(A,&ctx));
199
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 63040 PetscCall(MatGetLocalSize(ctx->T,&n,NULL));
200
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 63040 PetscCall(VecGetArrayRead(x,&px));
201
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 63040 PetscCall(VecGetArray(y,&py));
202
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 63040 PetscCall(VecPlaceArray(ctx->x1,px));
203
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 63040 PetscCall(VecPlaceArray(ctx->x2,px+n));
204
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 63040 PetscCall(VecPlaceArray(ctx->y1,py));
205
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 63040 PetscCall(VecPlaceArray(ctx->y2,py+n));
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 63040 PetscCall(MatMult(ctx->T,ctx->x1,ctx->y1));
208
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 63040 PetscCall(VecScale(ctx->y1,ctx->tau1));
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 63040 PetscCall(VecAXPY(ctx->y1,ctx->beta - 1.0 + ctx->sigma,ctx->x1));
210
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 63040 PetscCall(VecAXPY(ctx->y1,ctx->alpha * ctx->alpha,ctx->x2));
211
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 63040 PetscCall(MatMult(ctx->T,ctx->x2,ctx->y2));
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 63040 PetscCall(VecScale(ctx->y2,ctx->tau2));
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 63040 PetscCall(VecAXPY(ctx->y2,-ctx->beta,ctx->x1));
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 63040 PetscCall(VecAXPY(ctx->y2,-ctx->alpha * ctx->alpha + ctx->sigma,ctx->x2));
216
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 63040 PetscCall(VecRestoreArrayRead(x,&px));
218
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 63040 PetscCall(VecRestoreArray(y,&py));
219
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 63040 PetscCall(VecResetArray(ctx->x1));
220
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 63040 PetscCall(VecResetArray(ctx->x2));
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 63040 PetscCall(VecResetArray(ctx->y1));
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 63040 PetscCall(VecResetArray(ctx->y2));
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 12608 PetscFunctionReturn(PETSC_SUCCESS);
224 }
225
226 /*TEST
227
228 test:
229 suffix: 1
230 args: -eps_nev 4 -eps_true_residual {{0 1}}
231 requires: !single
232
233 test:
234 suffix: 2
235 args: -eps_nev 4 -eps_true_residual -eps_balance oneside -eps_tol 1e-7
236 requires: !single
237
238 test:
239 suffix: 3
240 args: -n 50 -eps_nev 4 -eps_ncv 16 -eps_type subspace -eps_largest_magnitude -bv_orthog_block {{gs tsqr chol tsqrchol svqb}}
241 requires: !single
242
243 TEST*/
244