GCC Code Coverage Report


Directory: ./
File: src/pep/tests/test4.c
Date: 2025-10-03 04:28:47
Exec Total Coverage
Lines: 79 79 100.0%
Functions: 1 1 100.0%
Branches: 265 390 67.9%

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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[] = "Solve a quadratic problem with PEPLINEAR with a user-provided EPS.\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 <slepcpep.h>
17
18 10 int main(int argc,char **argv)
19 {
20 10 Mat M,C,K,A[3];
21 10 PEP pep;
22 10 PetscInt N,n=10,m,Istart,Iend,II,i,j;
23 10 PetscBool flag,expmat;
24 10 PetscReal alpha,beta;
25 10 EPS eps;
26 10 ST st;
27 10 KSP ksp;
28 10 PC pc;
29
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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;
35 10 N = n*m;
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nQuadratic Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
37
38 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
39 Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0
40 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
41
42 /* K is the 2-D Laplacian */
43
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10 PetscCall(MatCreate(PETSC_COMM_WORLD,&K));
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10 PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,N,N));
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10 PetscCall(MatSetFromOptions(K));
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10 PetscCall(MatGetOwnershipRange(K,&Istart,&Iend));
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1010 for (II=Istart;II<Iend;II++) {
48 1000 i = II/n; j = II-i*n;
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1000 if (i>0) PetscCall(MatSetValue(K,II,II-n,-1.0,INSERT_VALUES));
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1000 if (i<m-1) PetscCall(MatSetValue(K,II,II+n,-1.0,INSERT_VALUES));
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1000 if (j>0) PetscCall(MatSetValue(K,II,II-1,-1.0,INSERT_VALUES));
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1000 if (j<n-1) PetscCall(MatSetValue(K,II,II+1,-1.0,INSERT_VALUES));
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1000 PetscCall(MatSetValue(K,II,II,4.0,INSERT_VALUES));
54 }
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10 PetscCall(MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY));
57
58 /* C is the 1-D Laplacian on horizontal lines */
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10 PetscCall(MatCreate(PETSC_COMM_WORLD,&C));
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10 PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,N,N));
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10 PetscCall(MatSetFromOptions(C));
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10 PetscCall(MatGetOwnershipRange(C,&Istart,&Iend));
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1010 for (II=Istart;II<Iend;II++) {
64 1000 i = II/n; j = II-i*n;
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1000 if (j>0) PetscCall(MatSetValue(C,II,II-1,-1.0,INSERT_VALUES));
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1000 if (j<n-1) PetscCall(MatSetValue(C,II,II+1,-1.0,INSERT_VALUES));
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1000 PetscCall(MatSetValue(C,II,II,2.0,INSERT_VALUES));
68 }
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10 PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY));
71
72 /* M is a diagonal matrix */
73
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10 PetscCall(MatCreate(PETSC_COMM_WORLD,&M));
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10 PetscCall(MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,N,N));
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10 PetscCall(MatSetFromOptions(M));
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10 PetscCall(MatGetOwnershipRange(M,&Istart,&Iend));
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1010 for (II=Istart;II<Iend;II++) PetscCall(MatSetValue(M,II,II,(PetscReal)(II+1),INSERT_VALUES));
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10 PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY));
80
81 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
82 Create a standalone EPS with appropriate settings
83 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
84
85
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10 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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10 PetscCall(EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE));
87 #if defined(PETSC_USE_COMPLEX)
88
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5 PetscCall(EPSSetTarget(eps,0.01*PETSC_i));
89 #endif
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10 PetscCall(EPSGetST(eps,&st));
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10 PetscCall(STSetType(st,STSINVERT));
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10 PetscCall(STGetKSP(st,&ksp));
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10 PetscCall(KSPSetType(ksp,KSPBCGS));
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10 PetscCall(KSPGetPC(ksp,&pc));
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10 PetscCall(PCSetType(pc,PCJACOBI));
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10 PetscCall(EPSSetFromOptions(eps));
97
98 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
99 Create the eigensolver and solve the eigensystem
100 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
101
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10 PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep));
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10 PetscCall(PetscObjectSetName((PetscObject)pep,"PEP_solver"));
104 10 A[0] = K; A[1] = C; A[2] = M;
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10 PetscCall(PEPSetOperators(pep,3,A));
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10 PetscCall(PEPSetType(pep,PEPLINEAR));
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10 PetscCall(PEPSetProblemType(pep,PEP_GENERAL));
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10 PetscCall(PEPLinearSetEPS(pep,eps));
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10 PetscCall(PEPSetFromOptions(pep));
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10 PetscCall(PEPSolve(pep));
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10 PetscCall(PEPLinearGetLinearization(pep,&alpha,&beta));
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Linearization with alpha=%g, beta=%g",(double)alpha,(double)beta));
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10 PetscCall(PEPLinearGetExplicitMatrix(pep,&expmat));
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10 if (expmat) PetscCall(PetscPrintf(PETSC_COMM_WORLD," with explicit matrix"));
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n"));
116
117 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
118 Display solution and clean up
119 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
120
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10 PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL));
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10 PetscCall(PEPDestroy(&pep));
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10 PetscCall(EPSDestroy(&eps));
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10 PetscCall(MatDestroy(&M));
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10 PetscCall(MatDestroy(&C));
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10 PetscCall(MatDestroy(&K));
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10 PetscCall(SlepcFinalize());
128 return 0;
129 }
130
131 /*TEST
132
133 testset:
134 args: -pep_linear_explicitmatrix -pep_view_vectors ::ascii_info
135 test:
136 suffix: 1_real
137 requires: !single !complex
138 test:
139 suffix: 1
140 requires: !single complex
141
142 TEST*/
143