GCC Code Coverage Report

Directory:	./
File:	src/mfn/tutorials/ex26.c
Date:	2025-12-10 04:20:18

	Exec	Total	Coverage
Lines:	56	57	98.2%
Functions:	1	1	100.0%
Branches:	184	280	65.7%

  
      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[] = "Computes the action of the square root of the 2-D Laplacian.\n\n"
    
        "The command line options are:\n"
    
        "  -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
    
        "  -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n"
    
        "To draw the solution run with -mfn_view_solution draw -draw_pause -1\n\n";
    
      #include <slepcmfn.h>
    
      10
      int main(int argc,char **argv)
    
      {
    
      10
        Mat            A;           /* problem matrix */
    
      10
        MFN            mfn;
    
      10
        FN             f;
    
      10
        PetscReal      norm,tol;
    
      10
        Vec            v,y,z;
    
      10
        PetscInt       N,n=10,m,Istart,Iend,i,j,II;
    
      10
        PetscBool      flag;
    
        1/2✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.

      10
        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.

      10
        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.

      10
        PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,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.

      10
        PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
    
        1/2✓ Branch 0 taken 10 times.
✗ Branch 1 not taken.

      10
        if (!flag) m=n;
    
      10
        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.

      10
        PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSquare root of Laplacian y=sqrt(A)*e_1, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                       Compute the discrete 2-D Laplacian, 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.

      10
        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.

      10
        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.

      10
        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.

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

      1010
        for (II=Istart;II<Iend;II++) {
    
      1000
          i = II/n; j = II-i*n;
    
        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));
    
        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));
    
        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));
    
        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));
    
        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));
    
        }
    
        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));
    
        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));
    
        /* set symmetry flag so that solver can exploit it */
    
        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(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
    
        /* set v = e_1 */
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      10
        PetscCall(MatCreateVecs(A,NULL,&v));
    
        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(VecSetValue(v,0,1.0,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.

      10
        PetscCall(VecAssemblyBegin(v));
    
        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(VecAssemblyEnd(v));
    
        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(VecDuplicate(v,&y));
    
        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(VecDuplicate(v,&z));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                   Create the solver, set the matrix and the function
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        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(MFNCreate(PETSC_COMM_WORLD,&mfn));
    
        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(MFNSetOperator(mfn,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.

      10
        PetscCall(MFNGetFN(mfn,&f));
    
        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(FNSetType(f,FNSQRT));
    
        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(MFNSetErrorIfNotConverged(mfn,PETSC_TRUE));
    
        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(MFNSetFromOptions(mfn));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                            First solve: y=sqrt(A)*v
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        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(MFNSolve(mfn,v,y));
    
        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(VecNorm(y,NORM_2,&norm));
    
        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," Intermediate vector has norm %g\n",(double)norm));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
                   Second solve: z=sqrt(A)*y and compare against A*v
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
        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(MFNSolve(mfn,y,z));
    
        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(MFNGetTolerances(mfn,&tol,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.

      10
        PetscCall(MatMult(A,v,y));   /* overwrite y */
    
        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(VecAXPY(y,-1.0,z));
    
        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(VecNorm(y,NORM_2,&norm));
    
        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 (norm<tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Error norm is less than the requested tolerance\n\n"));
    
      ✗
        else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Error norm larger than tolerance: %3.1e\n\n",(double)norm));
    
        /*
    
           Free work space
    
        */
    
        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(MFNDestroy(&mfn));
    
        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));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      10
        PetscCall(VecDestroy(&v));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      10
        PetscCall(VecDestroy(&y));
    
        4/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.

      10
        PetscCall(VecDestroy(&z));
    
        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());
    
        return 0;
    
      }
    
      /*TEST
    
         test:
    
            suffix: 1
    
            args: -mfn_tol 1e-4
    
      TEST*/

Line	Branch	Exec	Source
1			/*
2			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3			SLEPc - Scalable Library for Eigenvalue Problem Computations
4			Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
5
6			This file is part of SLEPc.
7			SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9			*/
10
11			static char help[] = "Computes the action of the square root of the 2-D Laplacian.\n\n"
12			"The command line options are:\n"
13			" -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
14			" -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n"
15			"To draw the solution run with -mfn_view_solution draw -draw_pause -1\n\n";
16
17			#include <slepcmfn.h>
18
19		10	int main(int argc,char **argv)
20			{
21		10	Mat A; /* problem matrix */
22		10	MFN mfn;
23		10	FN f;
24		10	PetscReal norm,tol;
25		10	Vec v,y,z;
26		10	PetscInt N,n=10,m,Istart,Iend,i,j,II;
27		10	PetscBool flag;
28
29	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	10	PetscFunctionBeginUser;
30	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));
31
32	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
33	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));
34	1/2 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken.	10	if (!flag) m=n;
35		10	N = n*m;
36	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,"\nSquare root of Laplacian y=sqrt(A)*e_1, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
37
38			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
39			Compute the discrete 2-D Laplacian, A
40			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
41
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(MatCreate(PETSC_COMM_WORLD,&A));
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.	10	PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
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.	10	PetscCall(MatSetFromOptions(A));
45
46	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));
47	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	1010	for (II=Istart;II<Iend;II++) {
48		1000	i = II/n; j = II-i*n;
49	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));
50	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));
51	6/8 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	1000	if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
52	6/8 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	1000	if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
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.	1000	PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
54			}
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(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
57	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
58
59			/* set symmetry flag so that solver can exploit it */
60	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(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
61
62			/* set v = e_1 */
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.	10	PetscCall(MatCreateVecs(A,NULL,&v));
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.	10	PetscCall(VecSetValue(v,0,1.0,INSERT_VALUES));
65	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(VecAssemblyBegin(v));
66	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(VecAssemblyEnd(v));
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(VecDuplicate(v,&y));
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(VecDuplicate(v,&z));
69
70			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
71			Create the solver, set the matrix and the function
72			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
73	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MFNCreate(PETSC_COMM_WORLD,&mfn));
74	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MFNSetOperator(mfn,A));
75	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MFNGetFN(mfn,&f));
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.	10	PetscCall(FNSetType(f,FNSQRT));
77	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(MFNSetErrorIfNotConverged(mfn,PETSC_TRUE));
78	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(MFNSetFromOptions(mfn));
79
80			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
81			First solve: y=sqrt(A)*v
82			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
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(MFNSolve(mfn,v,y));
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(VecNorm(y,NORM_2,&norm));
86	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(PetscPrintf(PETSC_COMM_WORLD," Intermediate vector has norm %g\n",(double)norm));
87
88			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
89			Second solve: z=sqrt(A)y and compare against Av
90			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
91
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(MFNSolve(mfn,y,z));
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(MFNGetTolerances(mfn,&tol,NULL));
94
95	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatMult(A,v,y)); /* overwrite y */
96	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(VecAXPY(y,-1.0,z));
97	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(VecNorm(y,NORM_2,&norm));
98
99	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 (norm<tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Error norm is less than the requested tolerance\n\n"));
100		✗	else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Error norm larger than tolerance: %3.1e\n\n",(double)norm));
101
102			/*
103			Free work space
104			*/
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(MFNDestroy(&mfn));
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(MatDestroy(&A));
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(VecDestroy(&v));
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(VecDestroy(&y));
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(VecDestroy(&z));
110	3/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 2 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✗ Branch 5 not taken.	10	PetscCall(SlepcFinalize());
111			return 0;
112			}
113
114			/*TEST
115
116			test:
117			suffix: 1
118			args: -mfn_tol 1e-4
119
120			TEST*/
121