GCC Code Coverage Report


Directory: ./
File: src/eps/tests/test40.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 51 51 100.0%
Functions: 2 2 100.0%
Branches: 142 214 66.4%

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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[] = "Test two-sided Krylov-Schur without calling EPSSetFromOptions (based on ex5.c).\n\n"
12 "The command line options are:\n"
13 " -m <m>, where <m> = number of grid subdivisions in each dimension.\n\n";
14
15 #include <slepceps.h>
16
17 /*
18 User-defined routines
19 */
20 PetscErrorCode MatMarkovModel(PetscInt m,Mat A);
21
22 10 int main(int argc,char **argv)
23 {
24 10 Mat A; /* operator matrix */
25 10 EPS eps; /* eigenproblem solver context */
26 10 PetscReal tol=1000*PETSC_MACHINE_EPSILON;
27 10 PetscInt N,m=15,nev;
28
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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,"-m",&m,NULL));
33 10 N = m*(m+1)/2;
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMarkov Model, N=%" PetscInt_FMT " (m=%" PetscInt_FMT ")\n\n",N,m));
35
36 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
37 Compute the operator matrix that defines the eigensystem, Ax=kx
38 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
39
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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(MatMarkovModel(m,A));
44
45 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
46 Create the eigensolver and set various options
47 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
48
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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_NHEP));
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10 PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
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10 PetscCall(EPSSetDimensions(eps,4,PETSC_DETERMINE,PETSC_DETERMINE));
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10 PetscCall(EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL));
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10 PetscCall(EPSSetTwoSided(eps,PETSC_TRUE));
56
57 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
58 Solve the eigensystem
59 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
60
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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(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
64
65 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
66 Display solution and clean up
67 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
68
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10 PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
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10 PetscCall(EPSDestroy(&eps));
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10 PetscCall(MatDestroy(&A));
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10 PetscCall(SlepcFinalize());
73 return 0;
74 }
75
76 10 PetscErrorCode MatMarkovModel(PetscInt m,Mat A)
77 {
78 10 const PetscReal cst = 0.5/(PetscReal)(m-1);
79 10 PetscReal pd,pu;
80 10 PetscInt Istart,Iend,i,j,jmax,ix=0;
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10 PetscFunctionBeginUser;
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10 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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160 for (i=1;i<=m;i++) {
85 150 jmax = m-i+1;
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1350 for (j=1;j<=jmax;j++) {
87 1200 ix = ix + 1;
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1200 if (ix-1<Istart || ix>Iend) continue; /* compute only owned rows */
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1200 if (j!=jmax) {
90 1050 pd = cst*(PetscReal)(i+j-1);
91 /* north */
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1050 if (i==1) PetscCall(MatSetValue(A,ix-1,ix,2*pd,INSERT_VALUES));
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910 else PetscCall(MatSetValue(A,ix-1,ix,pd,INSERT_VALUES));
94 /* east */
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1050 if (j==1) PetscCall(MatSetValue(A,ix-1,ix+jmax-1,2*pd,INSERT_VALUES));
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910 else PetscCall(MatSetValue(A,ix-1,ix+jmax-1,pd,INSERT_VALUES));
97 }
98 /* south */
99 1200 pu = 0.5 - cst*(PetscReal)(i+j-3);
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1200 if (j>1) PetscCall(MatSetValue(A,ix-1,ix-2,pu,INSERT_VALUES));
101 /* west */
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1200 if (i>1) PetscCall(MatSetValue(A,ix-1,ix-jmax-2,pu,INSERT_VALUES));
103 }
104 }
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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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2 PetscFunctionReturn(PETSC_SUCCESS);
108 }
109
110 /*TEST
111
112 test:
113 requires: !single
114
115 TEST*/
116