GCC Code Coverage Report


Directory: ./
File: src/sys/classes/fn/tests/test5.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 75 79 94.9%
Functions: 2 2 100.0%
Branches: 208 358 58.1%

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 matrix rational function.\n\n";
12
13 #include <slepcfn.h>
14
15 /*
16 Compute matrix rational function B = q(A)\p(A)
17 */
18 48 PetscErrorCode TestMatRational(FN fn,Mat A,PetscViewer viewer,PetscBool verbose,PetscBool inplace)
19 {
20 48 PetscBool set,flg;
21 48 PetscInt n;
22 48 Mat F,Acopy;
23 48 Vec v,f0;
24 48 PetscReal nrm;
25
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48 PetscFunctionBeginUser;
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48 PetscCall(MatGetSize(A,&n,NULL));
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48 PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&F));
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48 PetscCall(PetscObjectSetName((PetscObject)F,"F"));
30 /* compute matrix function */
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48 if (inplace) {
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24 PetscCall(MatCopy(A,F,SAME_NONZERO_PATTERN));
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24 PetscCall(MatIsHermitianKnown(A,&set,&flg));
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24 if (set && flg) PetscCall(MatSetOption(F,MAT_HERMITIAN,PETSC_TRUE));
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24 PetscCall(FNEvaluateFunctionMat(fn,F,NULL));
36 } else {
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24 PetscCall(MatDuplicate(A,MAT_COPY_VALUES,&Acopy));
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24 PetscCall(FNEvaluateFunctionMat(fn,A,F));
39 /* check that A has not been modified */
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24 PetscCall(MatAXPY(Acopy,-1.0,A,SAME_NONZERO_PATTERN));
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24 PetscCall(MatNorm(Acopy,NORM_1,&nrm));
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24 if (nrm>100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the input matrix has changed by %g\n",(double)nrm));
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24 PetscCall(MatDestroy(&Acopy));
44 }
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48 if (verbose) {
46 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix A - - - - - - - -\n"));
47 PetscCall(MatView(A,viewer));
48 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed f(A) - - - - - - -\n"));
49 PetscCall(MatView(F,viewer));
50 }
51 /* print matrix norm for checking */
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48 PetscCall(MatNorm(F,NORM_1,&nrm));
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48 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"The 1-norm of f(A) is %g\n",(double)nrm));
54 /* check FNEvaluateFunctionMatVec() */
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48 PetscCall(MatCreateVecs(A,&v,&f0));
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48 PetscCall(MatGetColumnVector(F,f0,0));
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48 PetscCall(FNEvaluateFunctionMatVec(fn,A,v));
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48 PetscCall(VecAXPY(v,-1.0,f0));
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48 PetscCall(VecNorm(v,NORM_2,&nrm));
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48 if (nrm>100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the norm of f(A)*e_1-v is %g\n",(double)nrm));
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48 PetscCall(MatDestroy(&F));
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48 PetscCall(VecDestroy(&v));
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48 PetscCall(VecDestroy(&f0));
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8 PetscFunctionReturn(PETSC_SUCCESS);
65 }
66
67 24 int main(int argc,char **argv)
68 {
69 24 FN fn;
70 24 Mat A=NULL;
71 24 PetscInt i,j,n=10,np,nq;
72 24 PetscScalar *As,p[10],q[10];
73 24 PetscViewer viewer;
74 24 PetscBool verbose,inplace,matcuda;
75
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24 PetscFunctionBeginUser;
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24 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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24 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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24 PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
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24 PetscCall(PetscOptionsHasName(NULL,NULL,"-inplace",&inplace));
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24 PetscCall(PetscOptionsHasName(NULL,NULL,"-matcuda",&matcuda));
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24 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix rational function, n=%" PetscInt_FMT ".\n",n));
83
84 /* Create rational function r(x)=p(x)/q(x) */
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24 PetscCall(FNCreate(PETSC_COMM_WORLD,&fn));
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24 PetscCall(FNSetType(fn,FNRATIONAL));
87 24 np = 2; nq = 3;
88 24 p[0] = -3.1; p[1] = 1.1;
89 24 q[0] = 1.0; q[1] = -2.0; q[2] = 3.5;
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24 PetscCall(FNRationalSetNumerator(fn,np,p));
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24 PetscCall(FNRationalSetDenominator(fn,nq,q));
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24 PetscCall(FNSetFromOptions(fn));
93
94 /* Set up viewer */
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24 PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
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24 PetscCall(FNView(fn,viewer));
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24 if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
98
99 /* Create matrices */
100
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24 if (matcuda) {
101 #if defined(PETSC_HAVE_CUDA)
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4 PetscCall(MatCreateSeqDenseCUDA(PETSC_COMM_SELF,n,n,NULL,&A));
103 #endif
104
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20 } else PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&A));
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24 PetscCall(PetscObjectSetName((PetscObject)A,"A"));
106
107 /* Fill A with a symmetric Toeplitz matrix */
108
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24 PetscCall(MatDenseGetArray(A,&As));
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264 for (i=0;i<n;i++) As[i+i*n]=2.0;
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72 for (j=1;j<3;j++) {
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456 for (i=0;i<n-j;i++) { As[i+(i+j)*n]=1.0; As[(i+j)+i*n]=1.0; }
112 }
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24 PetscCall(MatDenseRestoreArray(A,&As));
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24 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
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24 PetscCall(TestMatRational(fn,A,viewer,verbose,inplace));
116
117 /* Repeat with same matrix as non-symmetric */
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24 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_FALSE));
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24 PetscCall(TestMatRational(fn,A,viewer,verbose,inplace));
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24 PetscCall(MatDestroy(&A));
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24 PetscCall(FNDestroy(&fn));
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24 PetscCall(SlepcFinalize());
124 return 0;
125 }
126
127 /*TEST
128
129 testset:
130 output_file: output/test5_1.out
131 requires: !single
132 test:
133 suffix: 1
134 test:
135 suffix: 1_cuda
136 args: -matcuda
137 requires: cuda
138 test:
139 suffix: 2
140 args: -inplace
141 test:
142 suffix: 2_cuda
143 args: -inplace -matcuda
144 requires: cuda
145
146 TEST*/
147