GCC Code Coverage Report


Directory: ./
File: src/mfn/tutorials/ex26.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 56 57 98.2%
Functions: 1 1 100.0%
Branches: 184 280 65.7%

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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
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10 PetscFunctionBeginUser;
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10 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
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10 if (!flag) m=n;
35 10 N = n*m;
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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
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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(MatGetOwnershipRange(A,&Istart,&Iend));
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1010 for (II=Istart;II<Iend;II++) {
48 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));
54 }
55
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10 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
58
59 /* set symmetry flag so that solver can exploit it */
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10 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
61
62 /* set v = e_1 */
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10 PetscCall(MatCreateVecs(A,NULL,&v));
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10 PetscCall(VecSetValue(v,0,1.0,INSERT_VALUES));
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10 PetscCall(VecAssemblyBegin(v));
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10 PetscCall(VecAssemblyEnd(v));
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10 PetscCall(VecDuplicate(v,&y));
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10 PetscCall(VecDuplicate(v,&z));
69
70 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
71 Create the solver, set the matrix and the function
72 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
73
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10 PetscCall(MFNCreate(PETSC_COMM_WORLD,&mfn));
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10 PetscCall(MFNSetOperator(mfn,A));
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10 PetscCall(MFNGetFN(mfn,&f));
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10 PetscCall(FNSetType(f,FNSQRT));
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10 PetscCall(MFNSetErrorIfNotConverged(mfn,PETSC_TRUE));
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10 PetscCall(MFNSetFromOptions(mfn));
79
80 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
81 First solve: y=sqrt(A)*v
82 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
83
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10 PetscCall(MFNSolve(mfn,v,y));
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10 PetscCall(VecNorm(y,NORM_2,&norm));
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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 A*v
90 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
91
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10 PetscCall(MFNSolve(mfn,y,z));
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10 PetscCall(MFNGetTolerances(mfn,&tol,NULL));
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10 PetscCall(MatMult(A,v,y)); /* overwrite y */
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10 PetscCall(VecAXPY(y,-1.0,z));
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10 PetscCall(VecNorm(y,NORM_2,&norm));
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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
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10 PetscCall(MFNDestroy(&mfn));
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10 PetscCall(MatDestroy(&A));
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10 PetscCall(VecDestroy(&v));
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10 PetscCall(VecDestroy(&y));
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10 PetscCall(VecDestroy(&z));
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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