GCC Code Coverage Report

Directory:	./
File:	src/eps/tests/test11.c
Date:	2025-10-04 04:19:13

	Exec	Total	Coverage
Lines:	81	81	100.0%
Functions:	3	3	100.0%
Branches:	192	288	66.7%

  
      Line
      Branch
      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[] = "Solves the same problem as in ex5, but with a user-defined sorting criterion.\n\n"
    
        "It is a standard nonsymmetric eigenproblem with real eigenvalues and the rightmost eigenvalue is known to be 1.\n"
    
        "This example illustrates how the user can set a custom spectrum selection.\n\n"
    
        "The command line options are:\n"
    
        "  -m <m>, where <m> = number of grid subdivisions in each dimension.\n\n";
    
      #include <slepceps.h>
    
      /*
    
         User-defined routines
    
      */
    
      PetscErrorCode MyEigenSort(PetscScalar ar,PetscScalar ai,PetscScalar br,PetscScalar bi,PetscInt *r,void *ctx);
    
      PetscErrorCode MatMarkovModel(PetscInt m,Mat A);
    
      50
      int main(int argc,char **argv)
    
      {
    
      50
        Vec            v0;              /* initial vector */
    
      50
        Mat            A;               /* operator matrix */
    
      50
        EPS            eps;             /* eigenproblem solver context */
    
      50
        ST             st;              /* spectral transformation associated */
    
      50
        PetscReal      tol=PETSC_SMALL;
    
      50
        PetscScalar    target=0.5;
    
      50
        PetscInt       N,m=15,nev;
    
      50
        char           str[50];
    
        1/2✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.

      50
        PetscFunctionBeginUser;
    
        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.

      50
        PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
    
        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.

      50
        PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL));
    
      50
        N = m*(m+1)/2;
    
        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.

      50
        PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMarkov Model, N=%" PetscInt_FMT " (m=%" PetscInt_FMT ")\n",N,m));
    
        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.

      50
        PetscCall(PetscOptionsGetScalar(NULL,NULL,"-target",&target,NULL));
    
        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.

      50
        PetscCall(SlepcSNPrintfScalar(str,sizeof(str),target,PETSC_FALSE));
    
        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.

      50
        PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Searching closest eigenvalues to the right of %s.\n\n",str));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
           Compute the operator matrix that defines the eigensystem, Ax=kx
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        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.

      50
        PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
    
        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.

      50
        PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
    
        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.

      50
        PetscCall(MatSetFromOptions(A));
    
        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.

      50
        PetscCall(MatMarkovModel(m,A));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                      Create the eigensolver and set various options
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        /*
    
           Create eigensolver context
    
        */
    
        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.

      50
        PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
    
        /*
    
           Set operators. In this case, it is a standard eigenvalue problem
    
        */
    
        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.

      50
        PetscCall(EPSSetOperators(eps,A,NULL));
    
        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.

      50
        PetscCall(EPSSetProblemType(eps,EPS_NHEP));
    
        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.

      50
        PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
    
        /*
    
           Set the custom comparing routine in order to obtain the eigenvalues
    
           closest to the target on the right only
    
        */
    
        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.

      50
        PetscCall(EPSSetEigenvalueComparison(eps,MyEigenSort,&target));
    
        /*
    
           Set solver parameters at runtime
    
        */
    
        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.

      50
        PetscCall(EPSSetFromOptions(eps));
    
        /*
    
           Set the preconditioner based on A - target * I
    
        */
    
        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.

      50
        PetscCall(EPSGetST(eps,&st));
    
        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.

      50
        PetscCall(STSetShift(st,target));
    
        /*
    
           Set the initial vector. This is optional, if not done the initial
    
           vector is set to random values
    
        */
    
        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.

      50
        PetscCall(MatCreateVecs(A,&v0,NULL));
    
        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.

      50
        PetscCall(VecSet(v0,1.0));
    
        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.

      50
        PetscCall(EPSSetInitialSpace(eps,1,&v0));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                            Solve the eigensystem
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        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.

      50
        PetscCall(EPSSolve(eps));
    
        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.

      50
        PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
    
        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.

      50
        PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                          Display solution and clean up
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        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.

      50
        PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
    
        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.

      50
        PetscCall(EPSDestroy(&eps));
    
        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.

      50
        PetscCall(MatDestroy(&A));
    
        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.

      50
        PetscCall(VecDestroy(&v0));
    
        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.

      50
        PetscCall(SlepcFinalize());
    
        return 0;
    
      }
    
      50
      PetscErrorCode MatMarkovModel(PetscInt m,Mat A)
    
      {
    
      50
        const PetscReal cst = 0.5/(PetscReal)(m-1);
    
      50
        PetscReal       pd,pu;
    
      50
        PetscInt        Istart,Iend,i,j,jmax,ix=0;
    
        1/2✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.

      50
        PetscFunctionBeginUser;
    
        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.

      50
        PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
    
        2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.

      800
        for (i=1;i<=m;i++) {
    
      750
          jmax = m-i+1;
    
        2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.

      6750
          for (j=1;j<=jmax;j++) {
    
      6000
            ix = ix + 1;
    
        2/4✓ Branch 0 taken 10 times.
✗ Branch 1 not taken.
✗ Branch 2 not taken.
✓ Branch 3 taken 10 times.

      6000
            if (ix-1<Istart || ix>Iend) continue;  /* compute only owned rows */
    
        2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.

      6000
            if (j!=jmax) {
    
      5250
              pd = cst*(PetscReal)(i+j-1);
    
              /* north */
    
        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.

      5250
              if (i==1) PetscCall(MatSetValue(A,ix-1,ix,2*pd,INSERT_VALUES));
    
        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.

      4550
              else PetscCall(MatSetValue(A,ix-1,ix,pd,INSERT_VALUES));
    
              /* east */
    
        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.

      5250
              if (j==1) PetscCall(MatSetValue(A,ix-1,ix+jmax-1,2*pd,INSERT_VALUES));
    
        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.

      4550
              else PetscCall(MatSetValue(A,ix-1,ix+jmax-1,pd,INSERT_VALUES));
    
            }
    
            /* south */
    
      6000
            pu = 0.5 - cst*(PetscReal)(i+j-3);
    
        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.

      6000
            if (j>1) PetscCall(MatSetValue(A,ix-1,ix-2,pu,INSERT_VALUES));
    
            /* west */
    
        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.

      6000
            if (i>1) PetscCall(MatSetValue(A,ix-1,ix-jmax-2,pu,INSERT_VALUES));
    
          }
    
        }
    
        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.

      50
        PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
    
        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.

      50
        PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
    
        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.

      10
        PetscFunctionReturn(PETSC_SUCCESS);
    
      }
    
      /*
    
          Function for user-defined eigenvalue ordering criterion.
    
          Given two eigenvalues ar+i*ai and br+i*bi, the subroutine must choose
    
          one of them as the preferred one according to the criterion.
    
          In this example, the preferred value is the one closest to the target,
    
          but on the right side.
    
      */
    
      204175
      PetscErrorCode MyEigenSort(PetscScalar ar,PetscScalar ai,PetscScalar br,PetscScalar bi,PetscInt *r,void *ctx)
    
      {
    
      204175
        PetscScalar target = *(PetscScalar*)ctx;
    
      204175
        PetscReal   da,db;
    
      204175
        PetscBool   aisright,bisright;
    
        1/2✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.

      204175
        PetscFunctionBeginUser;
    
        2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.

      204175
        if (PetscRealPart(target) < PetscRealPart(ar)) aisright = PETSC_TRUE;
    
      121736
        else aisright = PETSC_FALSE;
    
        2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.

      204175
        if (PetscRealPart(target) < PetscRealPart(br)) bisright = PETSC_TRUE;
    
      176033
        else bisright = PETSC_FALSE;
    
        2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.

      204175
        if (aisright == bisright) {
    
          /* both are on the same side of the target */
    
      140998
          da = SlepcAbsEigenvalue(ar-target,ai);
    
      140998
          db = SlepcAbsEigenvalue(br-target,bi);
    
        2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.

      140998
          if (da < db) *r = -1;
    
        2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 5 times.

      38629
          else if (da > db) *r = 1;
    
      23
          else *r = 0;
    
        2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.

      63177
        } else if (aisright && !bisright) *r = -1; /* 'a' is on the right */
    
      4440
        else *r = 1;  /* 'b' is on the right */
    
        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.

      204175
        PetscFunctionReturn(PETSC_SUCCESS);
    
      }
    
      /*TEST
    
         testset:
    
            args: -eps_nev 4
    
            requires: !single
    
            output_file: output/test11_1.out
    
            test:
    
               suffix: 1
    
               args: -eps_type {{krylovschur arnoldi lapack}} -st_type sinvert
    
            test:
    
               suffix: 1_ks_cayley
    
               args: -st_type cayley -st_cayley_antishift 1
    
         test:
    
            suffix: 2
    
            args: -target 0.77 -eps_type gd -eps_nev 4 -eps_tol 1e-7 -eps_gd_krylov_start -eps_gd_blocksize 3
    
            requires: double
    
            filter: sed -e "s/[+-]0\.0*i//g"
    
      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[] = "Solves the same problem as in ex5, but with a user-defined sorting criterion.\n\n"
12			"It is a standard nonsymmetric eigenproblem with real eigenvalues and the rightmost eigenvalue is known to be 1.\n"
13			"This example illustrates how the user can set a custom spectrum selection.\n\n"
14			"The command line options are:\n"
15			" -m <m>, where <m> = number of grid subdivisions in each dimension.\n\n";
16
17			#include <slepceps.h>
18
19			/*
20			User-defined routines
21			*/
22
23			PetscErrorCode MyEigenSort(PetscScalar ar,PetscScalar ai,PetscScalar br,PetscScalar bi,PetscInt r,void ctx);
24			PetscErrorCode MatMarkovModel(PetscInt m,Mat A);
25
26		50	int main(int argc,char **argv)
27			{
28		50	Vec v0; /* initial vector */
29		50	Mat A; /* operator matrix */
30		50	EPS eps; /* eigenproblem solver context */
31		50	ST st; /* spectral transformation associated */
32		50	PetscReal tol=PETSC_SMALL;
33		50	PetscScalar target=0.5;
34		50	PetscInt N,m=15,nev;
35		50	char str[50];
36
37	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	50	PetscFunctionBeginUser;
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.	50	PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
39
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.	50	PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL));
41		50	N = m*(m+1)/2;
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.	50	PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMarkov Model, N=%" PetscInt_FMT " (m=%" PetscInt_FMT ")\n",N,m));
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.	50	PetscCall(PetscOptionsGetScalar(NULL,NULL,"-target",&target,NULL));
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.	50	PetscCall(SlepcSNPrintfScalar(str,sizeof(str),target,PETSC_FALSE));
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.	50	PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Searching closest eigenvalues to the right of %s.\n\n",str));
46
47			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
48			Compute the operator matrix that defines the eigensystem, Ax=kx
49			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
50
51	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.	50	PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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.	50	PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
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.	50	PetscCall(MatSetFromOptions(A));
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.	50	PetscCall(MatMarkovModel(m,A));
55
56			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
57			Create the eigensolver and set various options
58			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
59
60			/*
61			Create eigensolver context
62			*/
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.	50	PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
64
65			/*
66			Set operators. In this case, it is a standard eigenvalue problem
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.	50	PetscCall(EPSSetOperators(eps,A,NULL));
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.	50	PetscCall(EPSSetProblemType(eps,EPS_NHEP));
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.	50	PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
71
72			/*
73			Set the custom comparing routine in order to obtain the eigenvalues
74			closest to the target on the right only
75			*/
76	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.	50	PetscCall(EPSSetEigenvalueComparison(eps,MyEigenSort,&target));
77
78			/*
79			Set solver parameters at runtime
80			*/
81	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.	50	PetscCall(EPSSetFromOptions(eps));
82
83			/*
84			Set the preconditioner based on A - target * I
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.	50	PetscCall(EPSGetST(eps,&st));
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.	50	PetscCall(STSetShift(st,target));
88
89			/*
90			Set the initial vector. This is optional, if not done the initial
91			vector is set to random values
92			*/
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.	50	PetscCall(MatCreateVecs(A,&v0,NULL));
94	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.	50	PetscCall(VecSet(v0,1.0));
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.	50	PetscCall(EPSSetInitialSpace(eps,1,&v0));
96
97			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
98			Solve the eigensystem
99			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
100
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.	50	PetscCall(EPSSolve(eps));
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.	50	PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
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.	50	PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
104
105			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
106			Display solution and clean up
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.	50	PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
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.	50	PetscCall(EPSDestroy(&eps));
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.	50	PetscCall(MatDestroy(&A));
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.	50	PetscCall(VecDestroy(&v0));
113	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.	50	PetscCall(SlepcFinalize());
114			return 0;
115			}
116
117		50	PetscErrorCode MatMarkovModel(PetscInt m,Mat A)
118			{
119		50	const PetscReal cst = 0.5/(PetscReal)(m-1);
120		50	PetscReal pd,pu;
121		50	PetscInt Istart,Iend,i,j,jmax,ix=0;
122
123	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	50	PetscFunctionBeginUser;
124	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.	50	PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
125	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	800	for (i=1;i<=m;i++) {
126		750	jmax = m-i+1;
127	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	6750	for (j=1;j<=jmax;j++) {
128		6000	ix = ix + 1;
129	2/4 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken. ✗ Branch 2 not taken. ✓ Branch 3 taken 10 times.	6000	if (ix-1<Istart \|\| ix>Iend) continue; /* compute only owned rows */
130	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	6000	if (j!=jmax) {
131		5250	pd = cst*(PetscReal)(i+j-1);
132			/* north */
133	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.	5250	if (i==1) PetscCall(MatSetValue(A,ix-1,ix,2*pd,INSERT_VALUES));
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.	4550	else PetscCall(MatSetValue(A,ix-1,ix,pd,INSERT_VALUES));
135			/* east */
136	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.	5250	if (j==1) PetscCall(MatSetValue(A,ix-1,ix+jmax-1,2*pd,INSERT_VALUES));
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.	4550	else PetscCall(MatSetValue(A,ix-1,ix+jmax-1,pd,INSERT_VALUES));
138			}
139			/* south */
140		6000	pu = 0.5 - cst*(PetscReal)(i+j-3);
141	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.	6000	if (j>1) PetscCall(MatSetValue(A,ix-1,ix-2,pu,INSERT_VALUES));
142			/* west */
143	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.	6000	if (i>1) PetscCall(MatSetValue(A,ix-1,ix-jmax-2,pu,INSERT_VALUES));
144			}
145			}
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.	50	PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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.	50	PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
148	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.	10	PetscFunctionReturn(PETSC_SUCCESS);
149			}
150
151			/*
152			Function for user-defined eigenvalue ordering criterion.
153
154			Given two eigenvalues ar+iai and br+ibi, the subroutine must choose
155			one of them as the preferred one according to the criterion.
156			In this example, the preferred value is the one closest to the target,
157			but on the right side.
158			*/
159		204175	PetscErrorCode MyEigenSort(PetscScalar ar,PetscScalar ai,PetscScalar br,PetscScalar bi,PetscInt r,void ctx)
160			{
161		204175	PetscScalar target = (PetscScalar)ctx;
162		204175	PetscReal da,db;
163		204175	PetscBool aisright,bisright;
164
165	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	204175	PetscFunctionBeginUser;
166	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	204175	if (PetscRealPart(target) < PetscRealPart(ar)) aisright = PETSC_TRUE;
167		121736	else aisright = PETSC_FALSE;
168	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	204175	if (PetscRealPart(target) < PetscRealPart(br)) bisright = PETSC_TRUE;
169		176033	else bisright = PETSC_FALSE;
170	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	204175	if (aisright == bisright) {
171			/* both are on the same side of the target */
172		140998	da = SlepcAbsEigenvalue(ar-target,ai);
173		140998	db = SlepcAbsEigenvalue(br-target,bi);
174	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	140998	if (da < db) *r = -1;
175	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 5 times.	38629	else if (da > db) *r = 1;
176		23	else *r = 0;
177	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	63177	} else if (aisright && !bisright) r = -1; / 'a' is on the right */
178		4440	else r = 1; / 'b' is on the right */
179	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.	204175	PetscFunctionReturn(PETSC_SUCCESS);
180			}
181
182			/*TEST
183
184			testset:
185			args: -eps_nev 4
186			requires: !single
187			output_file: output/test11_1.out
188			test:
189			suffix: 1
190			args: -eps_type {{krylovschur arnoldi lapack}} -st_type sinvert
191			test:
192			suffix: 1_ks_cayley
193			args: -st_type cayley -st_cayley_antishift 1
194
195			test:
196			suffix: 2
197			args: -target 0.77 -eps_type gd -eps_nev 4 -eps_tol 1e-7 -eps_gd_krylov_start -eps_gd_blocksize 3
198			requires: double
199			filter: sed -e "s/[+-]0\.0*i//g"
200
201			TEST*/
202

Function (Line)	Call count	Block coverage
MatMarkovModel (line 117)	called 50 times	82.0%
MyEigenSort (line 159)	called 204175 times	100.0%
main (line 26)	called 50 times	83.0%