GCC Code Coverage Report

Directory: ./
File: src/sys/classes/fn/tests/test10.c
Date: 2025-11-19 04:19:03
Exec Total Coverage
Lines: 68 70 97.1%
Functions: 2 2 100.0%
Branches: 200 324 61.7%
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[] = "Test Phi functions.\n\n";
12
13 #include <slepcfn.h>
14
15 /*
16 Evaluates phi_k function on a scalar and on a matrix
17 */
18 30 PetscErrorCode TestPhiFunction(FN fn,PetscScalar x,Mat A,PetscBool verbose)
19 {
20 30 PetscScalar y,yp;
21 30 char strx[50],str[50];
22 30 Vec v,f;
23 30 PetscReal nrm;
24
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 30 PetscFunctionBeginUser;
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 30 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n"));
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 30 PetscCall(FNView(fn,NULL));
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 30 PetscCall(SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE));
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 30 PetscCall(FNEvaluateFunction(fn,x,&y));
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 30 PetscCall(FNEvaluateDerivative(fn,x,&yp));
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 30 PetscCall(SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE));
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 30 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nf(%s)=%s\n",strx,str));
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 30 PetscCall(SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE));
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 30 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"f'(%s)=%s\n",strx,str));
35 /* compute phi_k(A)*e_1 */
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 30 PetscCall(MatCreateVecs(A,&v,&f));
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 30 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
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 30 PetscCall(FNEvaluateFunctionMatVec(fn,A,f)); /* reference result by diagonalization */
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 30 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_FALSE));
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 30 PetscCall(FNEvaluateFunctionMatVec(fn,A,v));
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 30 PetscCall(VecAXPY(v,-1.0,f));
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 30 PetscCall(VecNorm(v,NORM_2,&nrm));
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 30 if (nrm>100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the norm of f(A)*e_1-ref is %g\n",(double)nrm));
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 30 if (verbose) {
45 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD,"f(A)*e_1 =\n"));
46 ✗ PetscCall(VecView(v,NULL));
47 }
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 30 PetscCall(VecDestroy(&v));
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 30 PetscCall(VecDestroy(&f));
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 6 PetscFunctionReturn(PETSC_SUCCESS);
51 }
52
53 10 int main(int argc,char **argv)
54 {
55 10 FN phi0,phi1,phik,phicopy;
56 10 Mat A;
57 10 PetscInt i,j,n=8,k;
58 10 PetscScalar tau,eta,*As;
59 10 PetscBool verbose;
60
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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(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test Phi functions, n=%" PetscInt_FMT ".\n",n));
66
67 /* Create matrix, fill it with 1-D Laplacian */
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 10 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&A));
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 10 PetscCall(PetscObjectSetName((PetscObject)A,"A"));
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 10 PetscCall(MatDenseGetArray(A,&As));
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 90 for (i=0;i<n;i++) As[i+i*n]=2.0;
72 16 j=1;
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 80 for (i=0;i<n-j;i++) { As[i+(i+j)*n]=-1.0; As[(i+j)+i*n]=-1.0; }
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 10 PetscCall(MatDenseRestoreArray(A,&As));
75
76 /* phi_0(x) = exp(x) */
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 10 PetscCall(FNCreate(PETSC_COMM_WORLD,&phi0));
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 10 PetscCall(FNSetType(phi0,FNPHI));
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 10 PetscCall(FNPhiSetIndex(phi0,0));
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 10 PetscCall(TestPhiFunction(phi0,2.2,A,verbose));
81
82 /* phi_1(x) = (exp(x)-1)/x with scaling factors eta*phi_1(tau*x) */
83
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 10 PetscCall(FNCreate(PETSC_COMM_WORLD,&phi1));
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 10 PetscCall(FNSetType(phi1,FNPHI)); /* default index should be 1 */
85 10 tau = 0.2;
86 10 eta = 1.3;
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 10 PetscCall(FNSetScale(phi1,tau,eta));
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 10 PetscCall(TestPhiFunction(phi1,2.2,A,verbose));
89
90 /* phi_k(x) with index set from command-line arguments */
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 10 PetscCall(FNCreate(PETSC_COMM_WORLD,&phik));
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 10 PetscCall(FNSetType(phik,FNPHI));
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 10 PetscCall(FNSetFromOptions(phik));
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 10 PetscCall(FNDuplicate(phik,PETSC_COMM_WORLD,&phicopy));
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 10 PetscCall(FNPhiGetIndex(phicopy,&k));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Index of phi function is %" PetscInt_FMT "\n",k));
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 10 PetscCall(TestPhiFunction(phicopy,2.2,A,verbose));
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 10 PetscCall(FNDestroy(&phi0));
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 10 PetscCall(FNDestroy(&phi1));
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 10 PetscCall(FNDestroy(&phik));
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 10 PetscCall(FNDestroy(&phicopy));
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 10 PetscCall(MatDestroy(&A));
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 10 PetscCall(SlepcFinalize());
106 return 0;
107 }
108
109 /*TEST
110
111 test:
112 suffix: 1
113 nsize: 1
114 args: -fn_phi_index 3
115 requires: !single
116
117 TEST*/
118