GCC Code Coverage Report

Directory:	./
File:	src/eps/tutorials/ex25.c
Date:	2025-10-04 04:19:13

	Exec	Total	Coverage
Lines:	87	91	95.6%
Functions:	1	1	100.0%
Branches:	271	430	63.0%

  
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      Exec
      Source
    
      /*
    
         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
         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[] = "Spectrum slicing on generalized symmetric eigenproblem.\n\n"
    
        "The problem is similar to ex13.c.\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";
    
      #include <slepceps.h>
    
      10
      int main(int argc,char **argv)
    
      {
    
      10
        Mat            A,B;         /* matrices */
    
      10
        EPS            eps;         /* eigenproblem solver context */
    
      10
        ST             st;          /* spectral transformation context */
    
      10
        KSP            ksp;
    
      10
        PC             pc;
    
      10
        EPSType        type;
    
      10
        PetscInt       N,n=10,m,Istart,Iend,II,nev,i,j,*inertias,ns;
    
      10
        PetscReal      inta,intb,*shifts;
    
      10
        PetscBool      flag,show=PETSC_FALSE,terse;
    
      #if defined(PETSC_HAVE_MUMPS) && !defined(PETSC_USE_COMPLEX)
    
      2
        Mat            F;
    
      #endif
    
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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
        PetscCall(PetscOptionsGetBool(NULL,NULL,"-show_inertias",&show,NULL));
    
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      10
        if (!flag) m=n;
    
      10
        N = n*m;
    
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      10
        PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSpectrum slicing on GHEP, 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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      1010
        for (II=Istart;II<Iend;II++) {
    
      1000
          i = II/n; j = II-i*n;
    
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      1000
          if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
    
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      1000
          if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
    
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      1000
          if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
    
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      1000
          if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
    
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      1000
          PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
    
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      1000
          PetscCall(MatSetValue(B,II,II,4.0,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));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                      Create the eigensolver and set various options
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        /*
    
           Create eigensolver context
    
        */
    
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      10
        PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
    
        /*
    
           Set operators and set problem type
    
        */
    
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      10
        PetscCall(EPSSetOperators(eps,A,B));
    
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      10
        PetscCall(EPSSetProblemType(eps,EPS_GHEP));
    
        /*
    
           Set interval for spectrum slicing
    
        */
    
      10
        inta = 0.1;
    
      10
        intb = 0.2;
    
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      10
        PetscCall(EPSSetInterval(eps,inta,intb));
    
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      10
        PetscCall(EPSSetWhichEigenpairs(eps,EPS_ALL));
    
        /*
    
           Spectrum slicing requires Krylov-Schur
    
        */
    
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      10
        PetscCall(EPSSetType(eps,EPSKRYLOVSCHUR));
    
        /*
    
           Set shift-and-invert with Cholesky; select MUMPS if available
    
        */
    
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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(KSPSetType(ksp,KSPPREONLY));
    
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      10
        PetscCall(KSPGetPC(ksp,&pc));
    
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      10
        PetscCall(PCSetType(pc,PCCHOLESKY));
    
        /*
    
           Use MUMPS if available.
    
           Note that in complex scalars we cannot use MUMPS for spectrum slicing,
    
           because MatGetInertia() is not available in that case.
    
        */
    
      #if defined(PETSC_HAVE_MUMPS) && !defined(PETSC_USE_COMPLEX)
    
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      2
        PetscCall(EPSKrylovSchurSetDetectZeros(eps,PETSC_TRUE));  /* enforce zero detection */
    
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      2
        PetscCall(PCFactorSetMatSolverType(pc,MATSOLVERMUMPS));
    
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      2
        PetscCall(PCFactorSetUpMatSolverType(pc));
    
        /*
    
           Set several MUMPS options, the corresponding command-line options are:
    
           '-st_mat_mumps_icntl_13 1': turn off ScaLAPACK for matrix inertia
    
           '-st_mat_mumps_icntl_24 1': detect null pivots in factorization (for the case that a shift is equal to an eigenvalue)
    
           '-st_mat_mumps_cntl_3 <tol>': a tolerance used for null pivot detection (must be larger than machine epsilon)
    
           Note: depending on the interval, it may be necessary also to increase the workspace:
    
           '-st_mat_mumps_icntl_14 <percentage>': increase workspace with a percentage (50, 100 or more)
    
        */
    
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      2
        PetscCall(PCFactorGetMatrix(pc,&F));
    
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      2
        PetscCall(MatMumpsSetIcntl(F,13,1));
    
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      2
        PetscCall(MatMumpsSetIcntl(F,24,1));
    
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      2
        PetscCall(MatMumpsSetCntl(F,3,1e-12));
    
      #endif
    
        /*
    
           Set solver parameters at runtime
    
        */
    
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      10
        PetscCall(EPSSetFromOptions(eps));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                            Solve the eigensystem
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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      10
        PetscCall(EPSSetUp(eps));
    
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      10
        if (show) {
    
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      10
          PetscCall(EPSKrylovSchurGetInertias(eps,&ns,&shifts,&inertias));
    
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      10
          PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Subintervals (after setup):\n"));
    
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      30
          for (i=0;i<ns;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Shift %g  Inertia %" PetscInt_FMT " \n",(double)shifts[i],inertias[i]));
    
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      10
          PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n"));
    
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      10
          PetscCall(PetscFree(shifts));
    
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      10
          PetscCall(PetscFree(inertias));
    
        }
    
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      10
        PetscCall(EPSSolve(eps));
    
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      10
        if (show) {
    
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      10
          PetscCall(EPSKrylovSchurGetInertias(eps,&ns,&shifts,&inertias));
    
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      10
          PetscCall(PetscPrintf(PETSC_COMM_WORLD,"All shifts (after solve):\n"));
    
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      30
          for (i=0;i<ns;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Shift %g  Inertia %" PetscInt_FMT " \n",(double)shifts[i],inertias[i]));
    
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      10
          PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n"));
    
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      10
          PetscCall(PetscFree(shifts));
    
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      10
          PetscCall(PetscFree(inertias));
    
        }
    
        /*
    
           Show eigenvalues in interval and print solution
    
        */
    
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      10
        PetscCall(EPSGetType(eps,&type));
    
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      10
        PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type));
    
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      10
        PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
    
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      10
        PetscCall(EPSGetInterval(eps,&inta,&intb));
    
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      10
        PetscCall(PetscPrintf(PETSC_COMM_WORLD," %" PetscInt_FMT " eigenvalues found in [%g, %g]\n",nev,(double)inta,(double)intb));
    
        /*
    
           Show detailed info unless -terse option is given by user
    
         */
    
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      10
        PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
    
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      10
        if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
    
        else {
    
      ✗
          PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
    
      ✗
          PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD));
    
      ✗
          PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
    
      ✗
          PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
    
        }
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                          Clean up
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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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());
    
        return 0;
    
      }
    
      /*TEST
    
         testset:
    
            args: -terse -show_inertias
    
            output_file: output/ex25_1.out
    
            test:
    
               suffix: 1
    
               requires: !mumps
    
            test:
    
               suffix: 1_mumps
    
               requires: mumps !complex
    
      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[] = "Spectrum slicing on generalized symmetric eigenproblem.\n\n"
12			"The problem is similar to ex13.c.\n\n"
13			"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";
16
17			#include <slepceps.h>
18
19		10	int main(int argc,char **argv)
20			{
21		10	Mat A,B; /* matrices */
22		10	EPS eps; /* eigenproblem solver context */
23		10	ST st; /* spectral transformation context */
24		10	KSP ksp;
25		10	PC pc;
26		10	EPSType type;
27		10	PetscInt N,n=10,m,Istart,Iend,II,nev,i,j,*inertias,ns;
28		10	PetscReal inta,intb,*shifts;
29		10	PetscBool flag,show=PETSC_FALSE,terse;
30			#if defined(PETSC_HAVE_MUMPS) && !defined(PETSC_USE_COMPLEX)
31		2	Mat F;
32			#endif
33
34	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	10	PetscFunctionBeginUser;
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.	10	PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
36
37	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));
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.	10	PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
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.	10	PetscCall(PetscOptionsGetBool(NULL,NULL,"-show_inertias",&show,NULL));
40	1/2 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken.	10	if (!flag) m=n;
41		10	N = n*m;
42	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,"\nSpectrum slicing on GHEP, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
43
44			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
45			Compute the matrices that define the eigensystem, Ax=kBx
46			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
47
48	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));
49	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));
50	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));
51
52	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));
53	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));
54	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));
55
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(MatGetOwnershipRange(A,&Istart,&Iend));
57	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	1010	for (II=Istart;II<Iend;II++) {
58		1000	i = II/n; j = II-i*n;
59	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.	1000	if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
60	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.	1000	if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
61	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.	1000	if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
62	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.	1000	if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
63	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.	1000	PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
64	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.	1000	PetscCall(MatSetValue(B,II,II,4.0,INSERT_VALUES));
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(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
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(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
70	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));
71
72			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
73			Create the eigensolver and set various options
74			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
75
76			/*
77			Create eigensolver context
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.	10	PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
80
81			/*
82			Set operators and set problem type
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.	10	PetscCall(EPSSetOperators(eps,A,B));
85	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_GHEP));
86
87			/*
88			Set interval for spectrum slicing
89			*/
90		10	inta = 0.1;
91		10	intb = 0.2;
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.	10	PetscCall(EPSSetInterval(eps,inta,intb));
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.	10	PetscCall(EPSSetWhichEigenpairs(eps,EPS_ALL));
94
95			/*
96			Spectrum slicing requires Krylov-Schur
97			*/
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(EPSSetType(eps,EPSKRYLOVSCHUR));
99
100			/*
101			Set shift-and-invert with Cholesky; select MUMPS if available
102			*/
103
104	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(EPSGetST(eps,&st));
105	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(STSetType(st,STSINVERT));
106	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(EPSKrylovSchurGetKSP(eps,&ksp));
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.	10	PetscCall(KSPSetType(ksp,KSPPREONLY));
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.	10	PetscCall(KSPGetPC(ksp,&pc));
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(PCSetType(pc,PCCHOLESKY));
110
111			/*
112			Use MUMPS if available.
113			Note that in complex scalars we cannot use MUMPS for spectrum slicing,
114			because MatGetInertia() is not available in that case.
115			*/
116			#if defined(PETSC_HAVE_MUMPS) && !defined(PETSC_USE_COMPLEX)
117	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 2 times.	2	PetscCall(EPSKrylovSchurSetDetectZeros(eps,PETSC_TRUE)); /* enforce zero detection */
118	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 2 times.	2	PetscCall(PCFactorSetMatSolverType(pc,MATSOLVERMUMPS));
119	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 2 times.	2	PetscCall(PCFactorSetUpMatSolverType(pc));
120			/*
121			Set several MUMPS options, the corresponding command-line options are:
122			'-st_mat_mumps_icntl_13 1': turn off ScaLAPACK for matrix inertia
123			'-st_mat_mumps_icntl_24 1': detect null pivots in factorization (for the case that a shift is equal to an eigenvalue)
124			'-st_mat_mumps_cntl_3 <tol>': a tolerance used for null pivot detection (must be larger than machine epsilon)
125
126			Note: depending on the interval, it may be necessary also to increase the workspace:
127			'-st_mat_mumps_icntl_14 <percentage>': increase workspace with a percentage (50, 100 or more)
128			*/
129	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 2 times.	2	PetscCall(PCFactorGetMatrix(pc,&F));
130	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 2 times.	2	PetscCall(MatMumpsSetIcntl(F,13,1));
131	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 2 times.	2	PetscCall(MatMumpsSetIcntl(F,24,1));
132	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 2 times.	2	PetscCall(MatMumpsSetCntl(F,3,1e-12));
133			#endif
134
135			/*
136			Set solver parameters at runtime
137			*/
138	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));
139
140			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
141			Solve the eigensystem
142			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
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(EPSSetUp(eps));
144	1/2 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken.	10	if (show) {
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(EPSKrylovSchurGetInertias(eps,&ns,&shifts,&inertias));
146	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,"Subintervals (after setup):\n"));
147	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.	30	for (i=0;i<ns;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Shift %g Inertia %" PetscInt_FMT " \n",(double)shifts[i],inertias[i]));
148	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,"\n"));
149	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(shifts));
150	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(inertias));
151			}
152	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));
153	1/2 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken.	10	if (show) {
154	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(EPSKrylovSchurGetInertias(eps,&ns,&shifts,&inertias));
155	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,"All shifts (after solve):\n"));
156	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.	30	for (i=0;i<ns;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Shift %g Inertia %" PetscInt_FMT " \n",(double)shifts[i],inertias[i]));
157	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,"\n"));
158	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(shifts));
159	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(inertias));
160			}
161
162			/*
163			Show eigenvalues in interval and print solution
164			*/
165	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(EPSGetType(eps,&type));
166	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," Solution method: %s\n\n",type));
167	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(EPSGetDimensions(eps,&nev,NULL,NULL));
168	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(EPSGetInterval(eps,&inta,&intb));
169	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," %" PetscInt_FMT " eigenvalues found in [%g, %g]\n",nev,(double)inta,(double)intb));
170
171			/*
172			Show detailed info unless -terse option is given by user
173			*/
174	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(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
175	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 (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
176			else {
177		✗	PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
178		✗	PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD));
179		✗	PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
180		✗	PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
181			}
182
183			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
184			Clean up
185			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
186	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));
187	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));
188	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));
189	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());
190			return 0;
191			}
192
193			/*TEST
194
195			testset:
196			args: -terse -show_inertias
197			output_file: output/ex25_1.out
198			test:
199			suffix: 1
200			requires: !mumps
201			test:
202			suffix: 1_mumps
203			requires: mumps !complex
204
205			TEST*/
206