GCC Code Coverage Report

Directory:	./
File:	src/eps/tutorials/ex47.c
Date:	2025-11-19 04:19:03

	Exec	Total	Coverage
Lines:	79	80	98.8%
Functions:	2	2	100.0%
Branches:	259	396	65.4%

  
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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[] = "Shows how to recover symmetry when solving a GHEP as non-symmetric.\n\n"
    
        "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>
    
      /*
    
         User context for shell matrix
    
      */
    
      typedef struct {
    
        KSP       ksp;
    
        Mat       B;
    
        Vec       w;
    
      } CTX_SHELL;
    
      /*
    
          Matrix-vector product function for user matrix
    
             y <-- A^{-1}*B*x
    
          The matrix A^{-1}*B*x is not symmetric, but it is self-adjoint with respect
    
          to the B-inner product. Here we assume A is symmetric and B is SPD.
    
       */
    
      320
      PetscErrorCode MatMult_Sinvert0(Mat S,Vec x,Vec y)
    
      {
    
      320
        CTX_SHELL      *ctx;
    
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      320
        PetscFunctionBeginUser;
    
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      320
        PetscCall(MatShellGetContext(S,&ctx));
    
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      320
        PetscCall(MatMult(ctx->B,x,ctx->w));
    
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      320
        PetscCall(KSPSolve(ctx->ksp,ctx->w,y));
    
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      64
        PetscFunctionReturn(PETSC_SUCCESS);
    
      }
    
      10
      int main(int argc,char **argv)
    
      {
    
      10
        Mat               A,B,S;      /* matrices */
    
      10
        EPS               eps;        /* eigenproblem solver context */
    
      10
        BV                bv;
    
      10
        Vec               *X,v;
    
      10
        PetscReal         lev=0.0,tol=1000*PETSC_MACHINE_EPSILON;
    
      10
        PetscInt          N,n=45,m,Istart,Iend,II,i,j,nconv;
    
      10
        PetscBool         flag;
    
      10
        CTX_SHELL         *ctx;
    
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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;
    
      10
        N = n*m;
    
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      10
        PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
               Compute the matrices that define the eigensystem, Ax=kBx
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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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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      3250
        for (II=Istart;II<Iend;II++) {
    
      3240
          i = II/n; j = II-i*n;
    
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      3240
          if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
    
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      3240
          if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
    
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      3240
          if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
    
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      3240
          if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
    
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      3240
          PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
    
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      3240
          PetscCall(MatSetValue(B,II,II,2.0/PetscLogScalar(II+2),INSERT_VALUES));
    
        }
    
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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));
    
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      10
        PetscCall(MatCreateVecs(B,&v,NULL));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                    Create a shell matrix S = A^{-1}*B
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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      10
        PetscCall(PetscNew(&ctx));
    
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      10
        PetscCall(KSPCreate(PETSC_COMM_WORLD,&ctx->ksp));
    
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      10
        PetscCall(KSPSetOperators(ctx->ksp,A,A));
    
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      10
        PetscCall(KSPSetTolerances(ctx->ksp,tol,PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT));
    
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      10
        PetscCall(KSPSetFromOptions(ctx->ksp));
    
      10
        ctx->B = B;
    
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      10
        PetscCall(MatCreateVecs(A,&ctx->w,NULL));
    
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      10
        PetscCall(MatCreateShell(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,N,N,(void*)ctx,&S));
    
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      10
        PetscCall(MatShellSetOperation(S,MATOP_MULT,(PetscErrorCodeFn*)MatMult_Sinvert0));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                      Create the eigensolver and set various options
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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      10
        PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
    
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      10
        PetscCall(EPSSetOperators(eps,S,NULL));
    
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      10
        PetscCall(EPSSetProblemType(eps,EPS_HEP));  /* even though S is not symmetric */
    
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      10
        PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
    
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      10
        PetscCall(EPSSetFromOptions(eps));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                            Solve the eigensystem
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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      10
        PetscCall(EPSSetUp(eps));   /* explicitly call setup */
    
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      10
        PetscCall(EPSGetBV(eps,&bv));
    
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      10
        PetscCall(BVSetMatrix(bv,B,PETSC_FALSE));  /* set inner product matrix to recover symmetry */
    
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      10
        PetscCall(EPSSolve(eps));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                       Display solution and check B-orthogonality
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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      10
        PetscCall(EPSGetTolerances(eps,&tol,NULL));
    
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      10
        PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
    
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      10
        PetscCall(EPSGetConverged(eps,&nconv));
    
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      10
        if (nconv>1) {
    
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      10
          PetscCall(VecDuplicateVecs(v,nconv,&X));
    
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      50
          for (i=0;i<nconv;i++) PetscCall(EPSGetEigenvector(eps,i,X[i],NULL));
    
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      10
          PetscCall(VecCheckOrthonormality(X,nconv,NULL,nconv,B,NULL,&lev));
    
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      10
          if (lev<10*tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n"));
    
      ✗
          else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev));
    
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      10
          PetscCall(VecDestroyVecs(nconv,&X));
    
        }
    
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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(VecDestroy(&v));
    
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      10
        PetscCall(KSPDestroy(&ctx->ksp));
    
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      10
        PetscCall(VecDestroy(&ctx->w));
    
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      10
        PetscCall(PetscFree(ctx));
    
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      10
        PetscCall(MatDestroy(&S));
    
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      10
        PetscCall(SlepcFinalize());
    
        return 0;
    
      }
    
      /*TEST
    
         test:
    
            args: -n 18 -eps_nev 4 -eps_max_it 1500
    
            requires: !single
    
      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[] = "Shows how to recover symmetry when solving a GHEP as non-symmetric.\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			/*
19			User context for shell matrix
20			*/
21			typedef struct {
22			KSP ksp;
23			Mat B;
24			Vec w;
25			} CTX_SHELL;
26
27			/*
28			Matrix-vector product function for user matrix
29			y <-- A^{-1}Bx
30			The matrix A^{-1}Bx is not symmetric, but it is self-adjoint with respect
31			to the B-inner product. Here we assume A is symmetric and B is SPD.
32			*/
33		320	PetscErrorCode MatMult_Sinvert0(Mat S,Vec x,Vec y)
34			{
35		320	CTX_SHELL *ctx;
36
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38	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.	320	PetscCall(MatShellGetContext(S,&ctx));
39	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.	320	PetscCall(MatMult(ctx->B,x,ctx->w));
40	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.	320	PetscCall(KSPSolve(ctx->ksp,ctx->w,y));
41	5/12 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken. ✗ Branch 2 not taken. ✓ Branch 3 taken 2 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✓ Branch 6 taken 2 times. ✗ Branch 7 not taken. ✗ Branch 8 not taken. ✓ Branch 9 taken 2 times. ✗ Branch 10 not taken. ✗ Branch 11 not taken.	64	PetscFunctionReturn(PETSC_SUCCESS);
42			}
43
44		10	int main(int argc,char **argv)
45			{
46		10	Mat A,B,S; /* matrices */
47		10	EPS eps; /* eigenproblem solver context */
48		10	BV bv;
49		10	Vec *X,v;
50		10	PetscReal lev=0.0,tol=1000*PETSC_MACHINE_EPSILON;
51		10	PetscInt N,n=45,m,Istart,Iend,II,i,j,nconv;
52		10	PetscBool flag;
53		10	CTX_SHELL *ctx;
54
55	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	10	PetscFunctionBeginUser;
56	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.	10	PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
57	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.	10	PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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.	10	PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
59	1/2 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken.	10	if (!flag) m=n;
60		10	N = n*m;
61	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.	10	PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
62
63			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
64			Compute the matrices that define the eigensystem, Ax=kBx
65			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
66
67	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.	10	PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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.	10	PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
69	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.	10	PetscCall(MatSetFromOptions(A));
70
71	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.	10	PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
72	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.	10	PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
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.	10	PetscCall(MatSetFromOptions(B));
74
75	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.	10	PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
76	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	3250	for (II=Istart;II<Iend;II++) {
77		3240	i = II/n; j = II-i*n;
78	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.	3240	if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
79	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.	3240	if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
80	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.	3240	if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
81	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.	3240	if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
82	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.	3240	PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
83	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.	3240	PetscCall(MatSetValue(B,II,II,2.0/PetscLogScalar(II+2),INSERT_VALUES));
84			}
85
86	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.	10	PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
87	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.	10	PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
88	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.	10	PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
89	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.	10	PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
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.	10	PetscCall(MatCreateVecs(B,&v,NULL));
91
92			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
93			Create a shell matrix S = A^{-1}*B
94			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
95	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.	10	PetscCall(PetscNew(&ctx));
96	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.	10	PetscCall(KSPCreate(PETSC_COMM_WORLD,&ctx->ksp));
97	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.	10	PetscCall(KSPSetOperators(ctx->ksp,A,A));
98	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.	10	PetscCall(KSPSetTolerances(ctx->ksp,tol,PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT));
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.	10	PetscCall(KSPSetFromOptions(ctx->ksp));
100		10	ctx->B = B;
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.	10	PetscCall(MatCreateVecs(A,&ctx->w,NULL));
102	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.	10	PetscCall(MatCreateShell(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,N,N,(void*)ctx,&S));
103	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.	10	PetscCall(MatShellSetOperation(S,MATOP_MULT,(PetscErrorCodeFn*)MatMult_Sinvert0));
104
105			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
106			Create the eigensolver and set various options
107			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
108
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.	10	PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
110	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.	10	PetscCall(EPSSetOperators(eps,S,NULL));
111	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.	10	PetscCall(EPSSetProblemType(eps,EPS_HEP)); /* even though S is not symmetric */
112	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.	10	PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
113	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.	10	PetscCall(EPSSetFromOptions(eps));
114
115			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
116			Solve the eigensystem
117			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
118
119	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.	10	PetscCall(EPSSetUp(eps)); /* explicitly call setup */
120	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.	10	PetscCall(EPSGetBV(eps,&bv));
121	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.	10	PetscCall(BVSetMatrix(bv,B,PETSC_FALSE)); /* set inner product matrix to recover symmetry */
122	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.	10	PetscCall(EPSSolve(eps));
123
124			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
125			Display solution and check B-orthogonality
126			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
127
128	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.	10	PetscCall(EPSGetTolerances(eps,&tol,NULL));
129	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.	10	PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
130	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.	10	PetscCall(EPSGetConverged(eps,&nconv));
131	1/2 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken.	10	if (nconv>1) {
132	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.	10	PetscCall(VecDuplicateVecs(v,nconv,&X));
133	7/8 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 10 times. ✓ Branch 3 taken 8 times. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times. ✓ Branch 6 taken 2 times. ✓ Branch 7 taken 2 times.	50	for (i=0;i<nconv;i++) PetscCall(EPSGetEigenvector(eps,i,X[i],NULL));
134	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.	10	PetscCall(VecCheckOrthonormality(X,nconv,NULL,nconv,B,NULL,&lev));
135	5/8 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken. ✓ 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.	10	if (lev<10*tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n"));
136		✗	else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev));
137	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.	10	PetscCall(VecDestroyVecs(nconv,&X));
138			}
139
140	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.	10	PetscCall(EPSDestroy(&eps));
141	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.	10	PetscCall(MatDestroy(&A));
142	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.	10	PetscCall(MatDestroy(&B));
143	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.	10	PetscCall(VecDestroy(&v));
144	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.	10	PetscCall(KSPDestroy(&ctx->ksp));
145	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.	10	PetscCall(VecDestroy(&ctx->w));
146	5/8 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken. ✓ 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.	10	PetscCall(PetscFree(ctx));
147	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.	10	PetscCall(MatDestroy(&S));
148	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.	10	PetscCall(SlepcFinalize());
149			return 0;
150			}
151
152			/*TEST
153
154			test:
155			args: -n 18 -eps_nev 4 -eps_max_it 1500
156			requires: !single
157
158			TEST*/
159

Function (Line)	Call count	Block coverage
MatMult_Sinvert0 (line 33)	called 320 times	76.0%
main (line 44)	called 10 times	82.0%