GCC Code Coverage Report


Directory: ./
File: src/mfn/tests/test2.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 55 56 98.2%
Functions: 1 1 100.0%
Branches: 176 268 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[] = "Tests the case when both arguments of MFNSolve() are the same Vec.\n\n"
12 "The command line options are:\n"
13 " -t <sval>, where <sval> = scalar value that multiplies the argument.\n"
14 " -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
15 " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";
16
17 #include <slepcmfn.h>
18
19 38 int main(int argc,char **argv)
20 {
21 38 Mat A; /* problem matrix */
22 38 MFN mfn;
23 38 FN f;
24 38 PetscReal norm;
25 38 PetscScalar t=0.3;
26 38 PetscInt N,n=25,m,Istart,Iend,II,i,j;
27 38 PetscBool flag;
28 38 Vec v,y;
29
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38 PetscFunctionBeginUser;
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38 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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38 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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38 PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
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38 if (!flag) m=n;
36 38 N = n*m;
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38 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-t",&t,NULL));
38
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38 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMatrix exponential y=exp(t*A)*e, of the 2-D Laplacian, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
39
40 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
41 Build the 2-D Laplacian
42 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
43
44
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38 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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38 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
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38 PetscCall(MatSetFromOptions(A));
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38 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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23788 for (II=Istart;II<Iend;II++) {
50 23750 i = II/n; j = II-i*n;
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23750 if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
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23750 if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
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23750 if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
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23750 if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
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23750 PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
56 }
57
58
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38 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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38 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
60
61 /* set v = ones(n,1) */
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38 PetscCall(MatCreateVecs(A,&v,&y));
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38 PetscCall(VecSet(v,1.0));
64
65 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
66 Create the solver and set various options
67 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
68
69
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38 PetscCall(FNCreate(PETSC_COMM_WORLD,&f));
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38 PetscCall(FNSetType(f,FNEXP));
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38 PetscCall(MFNCreate(PETSC_COMM_WORLD,&mfn));
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38 PetscCall(MFNSetOperator(mfn,A));
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38 PetscCall(MFNSetFN(mfn,f));
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38 PetscCall(MFNSetErrorIfNotConverged(mfn,PETSC_TRUE));
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38 PetscCall(MFNSetFromOptions(mfn));
77
78 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
79 Solve the problem, y=exp(t*A)*v
80 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
81
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38 PetscCall(FNSetScale(f,t,1.0));
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38 PetscCall(MFNSolve(mfn,v,y));
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38 PetscCall(VecNorm(y,NORM_2,&norm));
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38 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Computed vector at time t=%.4g has norm %g\n\n",(double)PetscRealPart(t),(double)norm));
86
87 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
88 Repeat the computation in two steps, overwriting v:
89 v=exp(0.5*t*A)*v, v=exp(0.5*t*A)*v
90 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
91
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38 PetscCall(FNSetScale(f,0.5*t,1.0));
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38 PetscCall(MFNSolve(mfn,v,v));
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38 PetscCall(MFNSolve(mfn,v,v));
95 /* compute norm of difference */
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38 PetscCall(VecAXPY(y,-1.0,v));
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38 PetscCall(VecNorm(y,NORM_2,&norm));
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38 if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," The norm of the difference is <100*eps\n\n"));
99 else PetscCall(PetscPrintf(PETSC_COMM_WORLD," The norm of the difference is %g\n\n",(double)norm));
100
101 /*
102 Free work space
103 */
104
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38 PetscCall(MFNDestroy(&mfn));
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38 PetscCall(FNDestroy(&f));
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38 PetscCall(MatDestroy(&A));
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38 PetscCall(VecDestroy(&v));
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38 PetscCall(VecDestroy(&y));
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38 PetscCall(SlepcFinalize());
110 return 0;
111 }
112
113 /*TEST
114
115 testset:
116 args: -mfn_type {{krylov expokit}}
117 output_file: output/test2_1.out
118 test:
119 suffix: 1
120 test:
121 suffix: 1_cuda
122 args: -mat_type aijcusparse
123 requires: cuda
124 test:
125 suffix: 1_hip
126 args: -mat_type aijhipsparse
127 requires: hip
128
129 test:
130 suffix: 3
131 args: -mfn_type expokit -t 0.6 -mfn_ncv 24
132 requires: !__float128
133
134 TEST*/
135