GCC Code Coverage Report

Directory:	./
File:	src/eps/tutorials/ex29.c
Date:	2026-02-22 03:58:10

	Exec	Total	Coverage
Lines:	71	73	97.3%
Functions:	3	3	100.0%
Branches:	176	292	60.3%

  
      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, with a user-defined stopping test.\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 stopping test function.\n\n"
    
        "The command line options are:\n"
    
        "  -m <m>, where <m> = number of grid subdivisions in each dimension.\n"
    
        "  -seconds <s>, where <s> = maximum time in seconds allowed for computation.\n\n";
    
      #include <slepceps.h>
    
      #include <petsctime.h>
    
      /*
    
         User-defined routines
    
      */
    
      PetscErrorCode MyStoppingTest(EPS,PetscInt,PetscInt,PetscInt,PetscInt,EPSConvergedReason*,void*);
    
      PetscErrorCode MatMarkovModel(PetscInt,Mat);
    
      8
      int main(int argc,char **argv)
    
      {
    
      8
        Mat                A;               /* operator matrix */
    
      8
        EPS                eps;             /* eigenproblem solver context */
    
      8
        PetscReal          seconds=2.5;     /* maximum time allowed for computation */
    
      8
        PetscLogDouble     deadline;        /* time to abort computation */
    
      8
        PetscInt           N,m=15,nconv;
    
      8
        PetscBool          terse;
    
      8
        PetscViewer        viewer;
    
      8
        EPSConvergedReason reason;
    
        1/2✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.

      8
        PetscFunctionBeginUser;
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL));
    
      8
        N = m*(m+1)/2;
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        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 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(PetscOptionsGetReal(NULL,NULL,"-seconds",&seconds,NULL));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Maximum time for computation is set to %g seconds.\n\n",(double)seconds));
    
      8
        deadline = seconds;
    
        2/4✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.

      8
        PetscCall(PetscTimeAdd(&deadline));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
           Compute the operator matrix that defines the eigensystem, Ax=kx
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(MatSetFromOptions(A));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(MatMarkovModel(m,A));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                      Create the eigensolver and set various options
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(EPSSetOperators(eps,A,NULL));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(EPSSetProblemType(eps,EPS_NHEP));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(EPSSetStoppingTestFunction(eps,MyStoppingTest,&deadline,NULL));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(EPSSetFromOptions(eps));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                            Solve the eigensystem
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(EPSSolve(eps));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                          Display solution and clean up
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        /* show detailed info unless -terse option is given by user */
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
    
        1/8✗ Branch 0 not taken.
✓ Branch 1 taken 8 times.
✗ Branch 2 not taken.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✗ Branch 5 not taken.
✗ Branch 6 not taken.
✗ Branch 7 not taken.

      8
        if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
    
        else {
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
          PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
          PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
          PetscCall(EPSGetConvergedReason(eps,&reason));
    
        1/2✗ Branch 0 not taken.
✓ Branch 1 taken 8 times.

      8
          if (reason!=EPS_CONVERGED_USER) {
    
      ✗
            PetscCall(EPSConvergedReasonView(eps,viewer));
    
      ✗
            PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,viewer));
    
          } else {
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
            PetscCall(EPSGetConverged(eps,&nconv));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
            PetscCall(PetscViewerASCIIPrintf(viewer,"Eigensolve finished with %" PetscInt_FMT " converged eigenpairs; reason=%s\n",nconv,EPSConvergedReasons[reason]));
    
          }
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
          PetscCall(PetscViewerPopFormat(viewer));
    
        }
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(EPSDestroy(&eps));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(MatDestroy(&A));
    
        2/6✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✗ Branch 5 not taken.

      8
        PetscCall(SlepcFinalize());
    
        return 0;
    
      }
    
      /*
    
          Matrix generator for a Markov model of a random walk on a triangular grid.
    
          This subroutine generates a test matrix that models a random walk on a
    
          triangular grid. This test example was used by G. W. Stewart ["{SRRIT} - a
    
          FORTRAN subroutine to calculate the dominant invariant subspaces of a real
    
          matrix", Tech. report. TR-514, University of Maryland (1978).] and in a few
    
          papers on eigenvalue problems by Y. Saad [see e.g. LAA, vol. 34, pp. 269-295
    
          (1980) ]. These matrices provide reasonably easy test problems for eigenvalue
    
          algorithms. The transpose of the matrix  is stochastic and so it is known
    
          that one is an exact eigenvalue. One seeks the eigenvector of the transpose
    
          associated with the eigenvalue unity. The problem is to calculate the steady
    
          state probability distribution of the system, which is the eigevector
    
          associated with the eigenvalue one and scaled in such a way that the sum all
    
          the components is equal to one.
    
          Note: the code will actually compute the transpose of the stochastic matrix
    
          that contains the transition probabilities.
    
      */
    
      8
      PetscErrorCode MatMarkovModel(PetscInt m,Mat A)
    
      {
    
      8
        const PetscReal cst = 0.5/(PetscReal)(m-1);
    
      8
        PetscReal       pd,pu;
    
      8
        PetscInt        Istart,Iend,i,j,jmax,ix=0;
    
        1/2✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.

      8
        PetscFunctionBeginUser;
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
    
        2/2✓ Branch 0 taken 8 times.
✓ Branch 1 taken 8 times.

      2808
        for (i=1;i<=m;i++) {
    
      2800
          jmax = m-i+1;
    
        2/2✓ Branch 0 taken 8 times.
✓ Branch 1 taken 8 times.

      494200
          for (j=1;j<=jmax;j++) {
    
      491400
            ix = ix + 1;
    
        2/4✓ Branch 0 taken 8 times.
✗ Branch 1 not taken.
✗ Branch 2 not taken.
✓ Branch 3 taken 8 times.

      491400
            if (ix-1<Istart || ix>Iend) continue;  /* compute only owned rows */
    
        2/2✓ Branch 0 taken 8 times.
✓ Branch 1 taken 8 times.

      491400
            if (j!=jmax) {
    
      488600
              pd = cst*(PetscReal)(i+j-1);
    
              /* north */
    
        6/8✓ Branch 0 taken 8 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✓ Branch 3 taken 6 times.
✓ Branch 4 taken 2 times.
✗ Branch 5 not taken.
✗ Branch 6 not taken.
✓ Branch 7 taken 2 times.

      488600
              if (i==1) PetscCall(MatSetValue(A,ix-1,ix,2*pd,INSERT_VALUES));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      485808
              else PetscCall(MatSetValue(A,ix-1,ix,pd,INSERT_VALUES));
    
              /* east */
    
        6/8✓ Branch 0 taken 8 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✓ Branch 3 taken 6 times.
✓ Branch 4 taken 2 times.
✗ Branch 5 not taken.
✗ Branch 6 not taken.
✓ Branch 7 taken 2 times.

      488600
              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 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      485808
              else PetscCall(MatSetValue(A,ix-1,ix+jmax-1,pd,INSERT_VALUES));
    
            }
    
            /* south */
    
      491400
            pu = 0.5 - cst*(PetscReal)(i+j-3);
    
        6/8✓ Branch 0 taken 8 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✓ Branch 3 taken 6 times.
✓ Branch 4 taken 2 times.
✗ Branch 5 not taken.
✗ Branch 6 not taken.
✓ Branch 7 taken 2 times.

      491400
            if (j>1) PetscCall(MatSetValue(A,ix-1,ix-2,pu,INSERT_VALUES));
    
            /* west */
    
        6/8✓ Branch 0 taken 8 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✓ Branch 3 taken 6 times.
✓ Branch 4 taken 2 times.
✗ Branch 5 not taken.
✗ Branch 6 not taken.
✓ Branch 7 taken 2 times.

      491400
            if (i>1) PetscCall(MatSetValue(A,ix-1,ix-jmax-2,pu,INSERT_VALUES));
    
          }
    
        }
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      8
        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.

      2
        PetscFunctionReturn(PETSC_SUCCESS);
    
      }
    
      /*
    
          Function for user-defined stopping test.
    
          Checks that the computing time has not exceeded the deadline.
    
      */
    
      462
      PetscErrorCode MyStoppingTest(EPS eps,PetscInt its,PetscInt max_it,PetscInt nconv,PetscInt nev,EPSConvergedReason *reason,void *ctx)
    
      {
    
      462
        PetscLogDouble now,deadline = *(PetscLogDouble*)ctx;
    
        1/2✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.

      462
        PetscFunctionBeginUser;
    
        /* check if usual termination conditions are met */
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 6 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      462
        PetscCall(EPSStoppingBasic(eps,its,max_it,nconv,nev,reason,NULL));
    
        1/2✓ Branch 0 taken 8 times.
✗ Branch 1 not taken.

      462
        if (*reason==EPS_CONVERGED_ITERATING) {
    
          /* check if deadline has expired */
    
        2/4✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.

      462
          PetscCall(PetscTime(&now));
    
        2/2✓ Branch 0 taken 8 times.
✓ Branch 1 taken 8 times.

      462
          if (now>deadline) *reason = EPS_CONVERGED_USER;
    
        }
    
        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.

      210
        PetscFunctionReturn(PETSC_SUCCESS);
    
      }
    
      /*TEST
    
         test:
    
            suffix: 1
    
            args: -m 350 -seconds 0.6
    
            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[] = "Solves the same problem as in ex5, with a user-defined stopping test.\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 stopping test function.\n\n"
14			"The command line options are:\n"
15			" -m <m>, where <m> = number of grid subdivisions in each dimension.\n"
16			" -seconds <s>, where <s> = maximum time in seconds allowed for computation.\n\n";
17
18			#include <slepceps.h>
19			#include <petsctime.h>
20
21			/*
22			User-defined routines
23			*/
24
25			PetscErrorCode MyStoppingTest(EPS,PetscInt,PetscInt,PetscInt,PetscInt,EPSConvergedReason,void);
26			PetscErrorCode MatMarkovModel(PetscInt,Mat);
27
28		8	int main(int argc,char **argv)
29			{
30		8	Mat A; /* operator matrix */
31		8	EPS eps; /* eigenproblem solver context */
32		8	PetscReal seconds=2.5; /* maximum time allowed for computation */
33		8	PetscLogDouble deadline; /* time to abort computation */
34		8	PetscInt N,m=15,nconv;
35		8	PetscBool terse;
36		8	PetscViewer viewer;
37		8	EPSConvergedReason reason;
38
39	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	8	PetscFunctionBeginUser;
40	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
41
42	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL));
43		8	N = m*(m+1)/2;
44	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMarkov Model, N=%" PetscInt_FMT " (m=%" PetscInt_FMT ")\n",N,m));
45	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(PetscOptionsGetReal(NULL,NULL,"-seconds",&seconds,NULL));
46	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Maximum time for computation is set to %g seconds.\n\n",(double)seconds));
47		8	deadline = seconds;
48	2/4 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken.	8	PetscCall(PetscTimeAdd(&deadline));
49
50			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
51			Compute the operator matrix that defines the eigensystem, Ax=kx
52			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
53
54	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
55	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
56	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(MatSetFromOptions(A));
57	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(MatMarkovModel(m,A));
58
59			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
60			Create the eigensolver and set various options
61			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
62
63	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
64	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(EPSSetOperators(eps,A,NULL));
65	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(EPSSetProblemType(eps,EPS_NHEP));
66	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(EPSSetStoppingTestFunction(eps,MyStoppingTest,&deadline,NULL));
67	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(EPSSetFromOptions(eps));
68
69			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
70			Solve the eigensystem
71			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
72
73	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(EPSSolve(eps));
74
75			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
76			Display solution and clean up
77			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
78
79			/* show detailed info unless -terse option is given by user */
80	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
81	1/8 ✗ Branch 0 not taken. ✓ Branch 1 taken 8 times. ✗ Branch 2 not taken. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✗ Branch 7 not taken.	8	if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
82			else {
83	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
84	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
85	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(EPSGetConvergedReason(eps,&reason));
86	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 8 times.	8	if (reason!=EPS_CONVERGED_USER) {
87		✗	PetscCall(EPSConvergedReasonView(eps,viewer));
88		✗	PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,viewer));
89			} else {
90	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(EPSGetConverged(eps,&nconv));
91	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(PetscViewerASCIIPrintf(viewer,"Eigensolve finished with %" PetscInt_FMT " converged eigenpairs; reason=%s\n",nconv,EPSConvergedReasons[reason]));
92			}
93	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(PetscViewerPopFormat(viewer));
94			}
95	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(EPSDestroy(&eps));
96	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(MatDestroy(&A));
97	2/6 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✗ Branch 5 not taken.	8	PetscCall(SlepcFinalize());
98			return 0;
99			}
100
101			/*
102			Matrix generator for a Markov model of a random walk on a triangular grid.
103
104			This subroutine generates a test matrix that models a random walk on a
105			triangular grid. This test example was used by G. W. Stewart ["{SRRIT} - a
106			FORTRAN subroutine to calculate the dominant invariant subspaces of a real
107			matrix", Tech. report. TR-514, University of Maryland (1978).] and in a few
108			papers on eigenvalue problems by Y. Saad [see e.g. LAA, vol. 34, pp. 269-295
109			(1980) ]. These matrices provide reasonably easy test problems for eigenvalue
110			algorithms. The transpose of the matrix is stochastic and so it is known
111			that one is an exact eigenvalue. One seeks the eigenvector of the transpose
112			associated with the eigenvalue unity. The problem is to calculate the steady
113			state probability distribution of the system, which is the eigevector
114			associated with the eigenvalue one and scaled in such a way that the sum all
115			the components is equal to one.
116
117			Note: the code will actually compute the transpose of the stochastic matrix
118			that contains the transition probabilities.
119			*/
120		8	PetscErrorCode MatMarkovModel(PetscInt m,Mat A)
121			{
122		8	const PetscReal cst = 0.5/(PetscReal)(m-1);
123		8	PetscReal pd,pu;
124		8	PetscInt Istart,Iend,i,j,jmax,ix=0;
125
126	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	8	PetscFunctionBeginUser;
127	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
128	2/2 ✓ Branch 0 taken 8 times. ✓ Branch 1 taken 8 times.	2808	for (i=1;i<=m;i++) {
129		2800	jmax = m-i+1;
130	2/2 ✓ Branch 0 taken 8 times. ✓ Branch 1 taken 8 times.	494200	for (j=1;j<=jmax;j++) {
131		491400	ix = ix + 1;
132	2/4 ✓ Branch 0 taken 8 times. ✗ Branch 1 not taken. ✗ Branch 2 not taken. ✓ Branch 3 taken 8 times.	491400	if (ix-1<Istart \|\| ix>Iend) continue; /* compute only owned rows */
133	2/2 ✓ Branch 0 taken 8 times. ✓ Branch 1 taken 8 times.	491400	if (j!=jmax) {
134		488600	pd = cst*(PetscReal)(i+j-1);
135			/* north */
136	6/8 ✓ Branch 0 taken 8 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 6 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	488600	if (i==1) PetscCall(MatSetValue(A,ix-1,ix,2*pd,INSERT_VALUES));
137	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	485808	else PetscCall(MatSetValue(A,ix-1,ix,pd,INSERT_VALUES));
138			/* east */
139	6/8 ✓ Branch 0 taken 8 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 6 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	488600	if (j==1) PetscCall(MatSetValue(A,ix-1,ix+jmax-1,2*pd,INSERT_VALUES));
140	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	485808	else PetscCall(MatSetValue(A,ix-1,ix+jmax-1,pd,INSERT_VALUES));
141			}
142			/* south */
143		491400	pu = 0.5 - cst*(PetscReal)(i+j-3);
144	6/8 ✓ Branch 0 taken 8 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 6 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	491400	if (j>1) PetscCall(MatSetValue(A,ix-1,ix-2,pu,INSERT_VALUES));
145			/* west */
146	6/8 ✓ Branch 0 taken 8 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 6 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	491400	if (i>1) PetscCall(MatSetValue(A,ix-1,ix-jmax-2,pu,INSERT_VALUES));
147			}
148			}
149	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
150	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	8	PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
151	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.	2	PetscFunctionReturn(PETSC_SUCCESS);
152			}
153
154			/*
155			Function for user-defined stopping test.
156
157			Checks that the computing time has not exceeded the deadline.
158			*/
159		462	PetscErrorCode MyStoppingTest(EPS eps,PetscInt its,PetscInt max_it,PetscInt nconv,PetscInt nev,EPSConvergedReason reason,void ctx)
160			{
161		462	PetscLogDouble now,deadline = (PetscLogDouble)ctx;
162
163	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	462	PetscFunctionBeginUser;
164			/* check if usual termination conditions are met */
165	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 6 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	462	PetscCall(EPSStoppingBasic(eps,its,max_it,nconv,nev,reason,NULL));
166	1/2 ✓ Branch 0 taken 8 times. ✗ Branch 1 not taken.	462	if (*reason==EPS_CONVERGED_ITERATING) {
167			/* check if deadline has expired */
168	2/4 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken.	462	PetscCall(PetscTime(&now));
169	2/2 ✓ Branch 0 taken 8 times. ✓ Branch 1 taken 8 times.	462	if (now>deadline) *reason = EPS_CONVERGED_USER;
170			}
171	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.	210	PetscFunctionReturn(PETSC_SUCCESS);
172			}
173
174			/*TEST
175
176			test:
177			suffix: 1
178			args: -m 350 -seconds 0.6
179			requires: !single
180
181			TEST*/
182

Function (Line)	Call count	Block coverage
MatMarkovModel (line 120)	called 8 times	82.0%
MyStoppingTest (line 159)	called 462 times	88.0%
main (line 28)	called 8 times	75.0%