GCC Code Coverage Report

Directory:	./
File:	src/eps/tests/test10.c
Date:	2025-10-04 04:19:13

	Exec	Total	Coverage
Lines:	44	44	100.0%
Functions:	1	1	100.0%
Branches:	135	200	67.5%

  
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      Exec
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      /*
    
         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
         SLEPc - Scalable Library for Eigenvalue Problem Computations
    
         Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
    
         This file is part of SLEPc.
    
         SLEPc is distributed under a 2-clause BSD license (see LICENSE).
    
         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
      */
    
      static char help[] = "Computes the smallest nonzero eigenvalue of the Laplacian of a graph.\n\n"
    
        "This example illustrates EPSSetDeflationSpace(). The example graph corresponds to a "
    
        "2-D regular mesh. The command line options are:\n"
    
        "  -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
    
        "  -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";
    
      #include <slepceps.h>
    
      80
      int main (int argc,char **argv)
    
      {
    
      80
        EPS            eps;             /* eigenproblem solver context */
    
      80
        Mat            A;               /* operator matrix */
    
      80
        Vec            x;
    
      80
        PetscInt       N,n=10,m,i,j,II,Istart,Iend,nev;
    
      80
        PetscScalar    w;
    
      80
        PetscBool      flag;
    
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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(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
    
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      80
        if (!flag) m=n;
    
      80
        N = n*m;
    
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      80
        PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nFiedler vector of a 2-D regular mesh, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
           Compute the operator matrix that defines the eigensystem, Ax=kx
    
           In this example, A = L(G), where L is the Laplacian of graph G, i.e.
    
           Lii = degree of node i, Lij = -1 if edge (i,j) exists in G
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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      80
        PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
    
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      80
        PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
    
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      80
        PetscCall(MatSetFromOptions(A));
    
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      80
        PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
    
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      8880
        for (II=Istart;II<Iend;II++) {
    
      8800
          i = II/n; j = II-i*n;
    
      8800
          w = 0.0;
    
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      8800
          if (i>0) { PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES)); w=w+1.0; }
    
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      8800
          if (i<m-1) { PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES)); w=w+1.0; }
    
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      8800
          if (j>0) { PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES)); w=w+1.0; }
    
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      8800
          if (j<n-1) { PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES)); w=w+1.0; }
    
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      8800
          PetscCall(MatSetValue(A,II,II,w,INSERT_VALUES));
    
        }
    
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      80
        PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
    
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      80
        PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                      Create the eigensolver and set various options
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        /*
    
           Create eigensolver context
    
        */
    
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      80
        PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
    
        /*
    
           Set operators. In this case, it is a standard eigenvalue problem
    
        */
    
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      80
        PetscCall(EPSSetOperators(eps,A,NULL));
    
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      80
        PetscCall(EPSSetProblemType(eps,EPS_HEP));
    
        /*
    
           Select portion of spectrum
    
        */
    
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      80
        PetscCall(EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL));
    
        /*
    
           Set solver parameters at runtime
    
        */
    
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      80
        PetscCall(EPSSetFromOptions(eps));
    
        /*
    
           Attach deflation space: in this case, the matrix has a constant
    
           nullspace, [1 1 ... 1]^T is the eigenvector of the zero eigenvalue
    
        */
    
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      80
        PetscCall(MatCreateVecs(A,&x,NULL));
    
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      80
        PetscCall(VecSet(x,1.0));
    
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      80
        PetscCall(EPSSetDeflationSpace(eps,1,&x));
    
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      80
        PetscCall(VecDestroy(&x));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                            Solve the eigensystem
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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      80
        PetscCall(EPSSolve(eps));
    
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      80
        PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
    
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      80
        PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                          Display solution and clean up
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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      80
        PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
    
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      80
        PetscCall(EPSDestroy(&eps));
    
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      80
        PetscCall(MatDestroy(&A));
    
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      80
        PetscCall(SlepcFinalize());
    
        return 0;
    
      }
    
      /*TEST
    
         testset:
    
            args: -eps_nev 4 -m 11 -eps_max_it 500
    
            output_file: output/test10_1.out
    
            test:
    
               suffix: 1
    
               args: -eps_type {{krylovschur arnoldi gd jd rqcg}}
    
            test:
    
               suffix: 1_lobpcg
    
               args: -eps_type lobpcg -eps_lobpcg_blocksize 6
    
            test:
    
               suffix: 1_lanczos
    
               args: -eps_type lanczos -eps_lanczos_reorthog local
    
               requires: !single
    
            test:
    
               suffix: 1_gd2
    
               args: -eps_type gd -eps_gd_double_expansion
    
      TEST*/

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[] = "Computes the smallest nonzero eigenvalue of the Laplacian of a graph.\n\n"
12			"This example illustrates EPSSetDeflationSpace(). The example graph corresponds to a "
13			"2-D regular mesh. 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\n";
16
17			#include <slepceps.h>
18
19		80	int main (int argc,char **argv)
20			{
21		80	EPS eps; /* eigenproblem solver context */
22		80	Mat A; /* operator matrix */
23		80	Vec x;
24		80	PetscInt N,n=10,m,i,j,II,Istart,Iend,nev;
25		80	PetscScalar w;
26		80	PetscBool flag;
27
28	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	80	PetscFunctionBeginUser;
29	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
30
31	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
32	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
33	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 10 times.	80	if (!flag) m=n;
34		80	N = n*m;
35	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nFiedler vector of a 2-D regular mesh, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
36
37			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
38			Compute the operator matrix that defines the eigensystem, Ax=kx
39			In this example, A = L(G), where L is the Laplacian of graph G, i.e.
40			Lii = degree of node i, Lij = -1 if edge (i,j) exists in G
41			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
42
43	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
44	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
45	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(MatSetFromOptions(A));
46
47	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
48	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	8880	for (II=Istart;II<Iend;II++) {
49		8800	i = II/n; j = II-i*n;
50		8800	w = 0.0;
51	6/8 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	8800	if (i>0) { PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES)); w=w+1.0; }
52	6/8 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	8800	if (i<m-1) { PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES)); w=w+1.0; }
53	6/8 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	8800	if (j>0) { PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES)); w=w+1.0; }
54	6/8 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	8800	if (j<n-1) { PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES)); w=w+1.0; }
55	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8800	PetscCall(MatSetValue(A,II,II,w,INSERT_VALUES));
56			}
57
58	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
59	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
60
61			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
62			Create the eigensolver and set various options
63			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
64
65			/*
66			Create eigensolver context
67			*/
68	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
69
70			/*
71			Set operators. In this case, it is a standard eigenvalue problem
72			*/
73	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSSetOperators(eps,A,NULL));
74	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSSetProblemType(eps,EPS_HEP));
75
76			/*
77			Select portion of spectrum
78			*/
79	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL));
80
81			/*
82			Set solver parameters at runtime
83			*/
84	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSSetFromOptions(eps));
85
86			/*
87			Attach deflation space: in this case, the matrix has a constant
88			nullspace, [1 1 ... 1]^T is the eigenvector of the zero eigenvalue
89			*/
90	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(MatCreateVecs(A,&x,NULL));
91	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(VecSet(x,1.0));
92	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSSetDeflationSpace(eps,1,&x));
93	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(VecDestroy(&x));
94
95			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
96			Solve the eigensystem
97			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
98
99	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSSolve(eps));
100	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
101	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
102
103			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
104			Display solution and clean up
105			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
106
107	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
108	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(EPSDestroy(&eps));
109	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(MatDestroy(&A));
110	3/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 2 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✗ Branch 5 not taken.	80	PetscCall(SlepcFinalize());
111			return 0;
112			}
113
114			/*TEST
115
116			testset:
117			args: -eps_nev 4 -m 11 -eps_max_it 500
118			output_file: output/test10_1.out
119			test:
120			suffix: 1
121			args: -eps_type {{krylovschur arnoldi gd jd rqcg}}
122			test:
123			suffix: 1_lobpcg
124			args: -eps_type lobpcg -eps_lobpcg_blocksize 6
125			test:
126			suffix: 1_lanczos
127			args: -eps_type lanczos -eps_lanczos_reorthog local
128			requires: !single
129			test:
130			suffix: 1_gd2
131			args: -eps_type gd -eps_gd_double_expansion
132
133			TEST*/
134