GCC Code Coverage Report


Directory: ./
File: src/eps/tutorials/ex12.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 69 79 87.3%
Functions: 1 1 100.0%
Branches: 222 404 55.0%

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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[] = "Compute all eigenvalues in an interval of a symmetric-definite problem.\n\n"
12 "The command line options are:\n"
13 " -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
14 " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";
15
16 #include <slepceps.h>
17
18 10 int main(int argc,char **argv)
19 {
20 10 Mat A,B; /* matrices */
21 10 EPS eps; /* eigenproblem solver context */
22 10 ST st; /* spectral transformation context */
23 10 KSP ksp;
24 10 PC pc;
25 10 PetscInt N,n=35,m,Istart,Iend,II,nev,i,j,k,*inertias;
26 10 PetscBool flag,showinertia=PETSC_TRUE;
27 10 PetscReal int0,int1,*shifts;
28
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10 PetscFunctionBeginUser;
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10 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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10 PetscCall(PetscOptionsGetBool(NULL,NULL,"-showinertia",&showinertia,NULL));
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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;
36 10 N = n*m;
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSymmetric-definite problem with two intervals, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
38
39 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
40 Compute the matrices that define the eigensystem, Ax=kBx
41 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
42
43
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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(MatCreate(PETSC_COMM_WORLD,&B));
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10 PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
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10 PetscCall(MatSetFromOptions(B));
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10 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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12260 for (II=Istart;II<Iend;II++) {
53 12250 i = II/n; j = II-i*n;
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12250 if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
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12250 if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
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12250 if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
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12250 if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
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12250 PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
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12250 PetscCall(MatSetValue(B,II,II,2.0,INSERT_VALUES));
60 }
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10 if (Istart==0) {
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10 PetscCall(MatSetValue(B,0,0,6.0,INSERT_VALUES));
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10 PetscCall(MatSetValue(B,0,1,-1.0,INSERT_VALUES));
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10 PetscCall(MatSetValue(B,1,0,-1.0,INSERT_VALUES));
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10 PetscCall(MatSetValue(B,1,1,1.0,INSERT_VALUES));
66 }
67
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10 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
72
73 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
74 Create the eigensolver and set various options
75 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
76
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10 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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10 PetscCall(EPSSetOperators(eps,A,B));
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10 PetscCall(EPSSetProblemType(eps,EPS_GHEP));
80
81 /*
82 Set first interval and other settings for spectrum slicing
83 */
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10 PetscCall(EPSSetType(eps,EPSKRYLOVSCHUR));
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10 PetscCall(EPSSetWhichEigenpairs(eps,EPS_ALL));
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10 PetscCall(EPSSetInterval(eps,1.1,1.3));
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10 PetscCall(EPSGetST(eps,&st));
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10 PetscCall(STSetType(st,STSINVERT));
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10 PetscCall(EPSKrylovSchurGetKSP(eps,&ksp));
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10 PetscCall(KSPGetPC(ksp,&pc));
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10 PetscCall(KSPSetType(ksp,KSPPREONLY));
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10 PetscCall(PCSetType(pc,PCCHOLESKY));
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10 PetscCall(EPSSetFromOptions(eps));
94
95 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
96 Solve for first interval and display info
97 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
98
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10 PetscCall(EPSSolve(eps));
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10 PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
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10 PetscCall(EPSGetInterval(eps,&int0,&int1));
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Found %" PetscInt_FMT " eigenvalues in interval [%g,%g]\n",nev,(double)int0,(double)int1));
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10 if (showinertia) {
104 PetscCall(EPSKrylovSchurGetInertias(eps,&k,&shifts,&inertias));
105 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Used %" PetscInt_FMT " shifts (inertia):\n",k));
106 for (i=0;i<k;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD," .. %g (%" PetscInt_FMT ")\n",(double)shifts[i],inertias[i]));
107 PetscCall(PetscFree(shifts));
108 PetscCall(PetscFree(inertias));
109 }
110
111 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
112 Solve for second interval and display info
113 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
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10 PetscCall(EPSSetInterval(eps,1.499,1.6));
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10 PetscCall(EPSSolve(eps));
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10 PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
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10 PetscCall(EPSGetInterval(eps,&int0,&int1));
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Found %" PetscInt_FMT " eigenvalues in interval [%g,%g]\n",nev,(double)int0,(double)int1));
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10 if (showinertia) {
120 PetscCall(EPSKrylovSchurGetInertias(eps,&k,&shifts,&inertias));
121 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Used %" PetscInt_FMT " shifts (inertia):\n",k));
122 for (i=0;i<k;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD," .. %g (%" PetscInt_FMT ")\n",(double)shifts[i],inertias[i]));
123 PetscCall(PetscFree(shifts));
124 PetscCall(PetscFree(inertias));
125 }
126
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10 PetscCall(EPSDestroy(&eps));
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10 PetscCall(MatDestroy(&A));
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10 PetscCall(MatDestroy(&B));
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10 PetscCall(SlepcFinalize());
131 return 0;
132 }
133
134 /*TEST
135
136 test:
137 suffix: 1
138 args: -showinertia 0 -eps_error_relative
139 requires: !single
140
141 TEST*/
142