GCC Code Coverage Report

Directory: ./
File: src/eps/tutorials/ex35.c
Date: 2025-12-10 04:20:18
Exec Total Coverage
Lines: 82 86 95.3%
Functions: 4 4 100.0%
Branches: 238 394 60.4%
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[] = "Shell spectral transformations with a non-injective mapping.\n\n"
12 "Implements spectrum folding for the 2-D Laplacian, as in ex24.c.\n\n"
13 "The command line options are:\n"
14 " -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
15 " -m <m>, where <m> = number of grid subdivisions in y dimension.\n";
16
17 #include <slepceps.h>
18
19 /* Context for spectrum folding spectral transformation */
20 typedef struct {
21 Mat A;
22 Vec w;
23 PetscScalar target;
24 } FoldShellST;
25
26 /* Routines for shell spectral transformation */
27 PetscErrorCode STCreate_Fold(Mat,PetscScalar,FoldShellST**);
28 PetscErrorCode STApply_Fold(ST,Vec,Vec);
29 PetscErrorCode STDestroy_Fold(FoldShellST*);
30
31 10 int main (int argc,char **argv)
32 {
33 10 Mat A; /* operator matrix */
34 10 EPS eps; /* eigenproblem solver context */
35 10 ST st; /* spectral transformation context */
36 10 FoldShellST *fold; /* user-defined spectral transform context */
37 10 EPSType type;
38 10 PetscInt N,n=10,m,i,j,II,Istart,Iend,nev;
39 10 PetscBool isShell,terse,flag;
40 10 PetscScalar target=1.1;
41
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 10 PetscFunctionBeginUser;
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 10 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
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 10 if (!flag) m = n;
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 10 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-target",&target,NULL));
49 10 N = n*m;
50
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSpectrum Folding via shell ST, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid) target=%3.2f\n\n",N,n,m,(double)PetscRealPart(target)));
51
52 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
53 Compute the 5-point stencil Laplacian
54 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
55
56
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 10 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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 10 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
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 10 PetscCall(MatSetFromOptions(A));
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 10 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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 1110 for (II=Istart;II<Iend;II++) {
62 1100 i = II/n; j = II-i*n;
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 1100 if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
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 1100 if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
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 1100 if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
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 1100 if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
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 1100 PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
68 }
69
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 10 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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 10 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
71
72 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
73 Create the eigensolver and set various options
74 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
75
76
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 10 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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 10 PetscCall(EPSSetOperators(eps,A,NULL));
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 10 PetscCall(EPSSetProblemType(eps,EPS_HEP));
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 10 PetscCall(EPSSetTarget(eps,target));
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 10 PetscCall(EPSGetST(eps,&st));
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 10 PetscCall(STSetType(st,STSHELL));
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 10 PetscCall(EPSSetFromOptions(eps));
83
84 /*
85 Initialize shell spectral transformation
86 */
87
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 10 PetscCall(PetscObjectTypeCompare((PetscObject)st,STSHELL,&isShell));
88
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 10 if (isShell) {
89 /* Change sorting criterion since this shell ST computes eigenvalues
90 of the transformed operator closest to 0 */
91
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 10 PetscCall(EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL));
92
93 /* Create the context for the user-defined spectral transform */
94
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 10 PetscCall(STCreate_Fold(A,target,&fold));
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 10 PetscCall(STShellSetContext(st,fold));
96
97 /* Set callback function for applying the operator (in this case we do not
98 provide a back-transformation callback since the mapping is not one-to-one) */
99
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 10 PetscCall(STShellSetApply(st,STApply_Fold));
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 10 PetscCall(PetscObjectSetName((PetscObject)st,"STFOLD"));
101 }
102
103 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
104 Solve the eigensystem
105 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
106
107
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 10 PetscCall(EPSSolve(eps));
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 10 PetscCall(EPSGetType(eps,&type));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type));
110
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 10 PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
112
113 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
114 Display solution and clean up
115 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
116
117 /* show detailed info unless -terse option is given by user */
118
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 10 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 10 if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
120 else {
121 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
122 ✗ PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD));
123 ✗ PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
124 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
125 }
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 10 if (isShell) PetscCall(STDestroy_Fold(fold));
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 10 PetscCall(EPSDestroy(&eps));
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 10 PetscCall(MatDestroy(&A));
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 10 PetscCall(SlepcFinalize());
130 return 0;
131 }
132
133 /*
134 STCreate_Fold - Creates the spectrum folding ST context.
135
136 Input Parameters:
137 + A - problem matrix
138 - target - target value
139
140 Output Parameter:
141 . fold - user-defined spectral transformation context
142 */
143 10 PetscErrorCode STCreate_Fold(Mat A,PetscScalar target,FoldShellST **fold)
144 {
145 10 FoldShellST *newctx;
146
147
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 10 PetscFunctionBeginUser;
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 10 PetscCall(PetscNew(&newctx));
149 10 newctx->A = A;
150
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 10 PetscCall(PetscObjectReference((PetscObject)A));
151 10 newctx->target = target;
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 10 PetscCall(MatCreateVecs(A,&newctx->w,NULL));
153 10 *fold = newctx;
154
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 10 PetscFunctionReturn(PETSC_SUCCESS);
155 }
156
157 /*
158 STApply_Fold - Applies the operator (A-target*I)^2 to a given vector.
159
160 Input Parameters:
161 + st - spectral transformation context
162 - x - input vector
163
164 Output Parameter:
165 . y - output vector
166 */
167 5525 PetscErrorCode STApply_Fold(ST st,Vec x,Vec y)
168 {
169 5525 FoldShellST *fold;
170 5525 PetscScalar sigma;
171
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 5525 PetscFunctionBeginUser;
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 5525 PetscCall(STShellGetContext(st,&fold));
174 5525 sigma = -fold->target;
175
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 5525 PetscCall(MatMult(fold->A,x,fold->w));
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 5525 PetscCall(VecAXPY(fold->w,sigma,x));
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 5525 PetscCall(MatMult(fold->A,fold->w,y));
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 5525 PetscCall(VecAXPY(y,sigma,fold->w));
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 1105 PetscFunctionReturn(PETSC_SUCCESS);
180 }
181
182 /*
183 STDestroy_Fold - This routine destroys the shell ST context.
184
185 Input Parameter:
186 . fold - user-defined spectral transformation context
187 */
188 10 PetscErrorCode STDestroy_Fold(FoldShellST *fold)
189 {
190
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 10 PetscFunctionBeginUser;
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 10 PetscCall(MatDestroy(&fold->A));
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 10 PetscCall(VecDestroy(&fold->w));
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 10 PetscCall(PetscFree(fold));
194
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 2 PetscFunctionReturn(PETSC_SUCCESS);
195 }
196
197 /*TEST
198
199 test:
200 args: -m 11 -eps_nev 4 -terse
201 suffix: 1
202 requires: !single
203
204 TEST*/
205