GCC Code Coverage Report


Directory: ./
File: src/mfn/tutorials/ex37.c
Date: 2025-10-03 04:28:47
Exec Total Coverage
Lines: 68 68 100.0%
Functions: 1 1 100.0%
Branches: 179 266 67.3%

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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 exp(t*A)*v for an advection diffusion operator with Peclet number.\n\n"
12 "The command line options are:\n"
13 " -n <idim>, where <idim> = number of subdivisions of the mesh in each spatial direction.\n"
14 " -t <sval>, where <sval> = scalar value that multiplies the argument.\n"
15 " -peclet <sval>, where <sval> = Peclet value.\n"
16 " -steps <ival>, where <ival> = number of time steps.\n\n";
17
18 #include <slepcmfn.h>
19
20 10 int main(int argc,char **argv)
21 {
22 10 Mat A; /* problem matrix */
23 10 MFN mfn;
24 10 FN f;
25 10 PetscInt i,j,Istart,Iend,II,m,n=10,N,steps=5,its,totits=0,ncv,maxit;
26 10 PetscReal tol,norm,h,h2,peclet=0.5,epsilon=1.0,c,i1h,j1h;
27 10 PetscScalar t=1e-4,sone=1.0,value,upper,diag,lower;
28 10 Vec v;
29 10 MFNConvergedReason reason;
30
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10 PetscFunctionBeginUser;
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10 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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10 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-t",&t,NULL));
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10 PetscCall(PetscOptionsGetReal(NULL,NULL,"-peclet",&peclet,NULL));
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10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-steps",&steps,NULL));
38 10 m = n;
39 10 N = m*n;
40 /* interval [0,1], homogeneous Dirichlet boundary conditions */
41 10 h = 1.0/(n+1.0);
42 10 h2 = h*h;
43 10 c = 2.0*epsilon*peclet/h;
44 10 upper = epsilon/h2+c/(2.0*h);
45 10 diag = 2.0*(-2.0*epsilon/h2);
46 10 lower = epsilon/h2-c/(2.0*h);
47
48
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nAdvection diffusion via y=exp(%g*A), n=%" PetscInt_FMT ", steps=%" PetscInt_FMT ", Peclet=%g\n\n",(double)PetscRealPart(t),n,steps,(double)peclet));
49
50 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
51 Generate matrix A
52 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
53
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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++) {
58 1000 i = II/n; j = II-i*n;
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1000 if (i>0) PetscCall(MatSetValue(A,II,II-n,lower,INSERT_VALUES));
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1000 if (i<m-1) PetscCall(MatSetValue(A,II,II+n,upper,INSERT_VALUES));
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1000 if (j>0) PetscCall(MatSetValue(A,II,II-1,lower,INSERT_VALUES));
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1000 if (j<n-1) PetscCall(MatSetValue(A,II,II+1,upper,INSERT_VALUES));
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1000 PetscCall(MatSetValue(A,II,II,diag,INSERT_VALUES));
64 }
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10 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatCreateVecs(A,NULL,&v));
68
69 /*
70 Set initial condition v = 256*i^2*(1-i)^2*j^2*(1-j)^2
71 */
72
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1010 for (II=Istart;II<Iend;II++) {
73 1000 i = II/n; j = II-i*n;
74 1000 i1h = (i+1)*h; j1h = (j+1)*h;
75 1000 value = 256.0*i1h*i1h*(1.0-i1h)*(1.0-i1h)*(j1h*j1h)*(1.0-j1h)*(1.0-j1h);
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1000 PetscCall(VecSetValue(v,i+j*n,value,INSERT_VALUES));
77 }
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10 PetscCall(VecAssemblyBegin(v));
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10 PetscCall(VecAssemblyEnd(v));
80
81 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
82 Create the solver and set various options
83 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
84
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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,FNEXP));
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10 PetscCall(FNSetScale(f,t,sone));
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10 PetscCall(MFNSetFromOptions(mfn));
90
91 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
92 Solve the problem, y=exp(t*A)*v
93 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
94
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60 for (i=0;i<steps;i++) {
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50 PetscCall(MFNSolve(mfn,v,v));
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50 PetscCall(MFNGetConvergedReason(mfn,&reason));
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50 PetscCheck(reason>=0,PETSC_COMM_WORLD,PETSC_ERR_CONV_FAILED,"Solver did not converge");
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50 PetscCall(MFNGetIterationNumber(mfn,&its));
99 50 totits += its;
100 }
101
102 /*
103 Optional: Get some information from the solver and display it
104 */
105
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of iterations of the method: %" PetscInt_FMT "\n",totits));
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10 PetscCall(MFNGetDimensions(mfn,&ncv));
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Subspace dimension: %" PetscInt_FMT "\n",ncv));
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10 PetscCall(MFNGetTolerances(mfn,&tol,&maxit));
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Stopping condition: tol=%.4g, maxit=%" PetscInt_FMT "\n",(double)tol,maxit));
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10 PetscCall(VecNorm(v,NORM_2,&norm));
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Computed vector at time t=%.4g has norm %g\n",(double)PetscRealPart(t)*steps,(double)norm));
112
113 /*
114 Free work space
115 */
116
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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(SlepcFinalize());
120 return 0;
121 }
122
123 /*TEST
124
125 test:
126 suffix: 1
127 args: -mfn_tol 1e-6
128
129 TEST*/
130