GCC Code Coverage Report

Directory: ./
File: src/sys/classes/fn/tests/test3.c
Date: 2025-11-19 04:19:03
Exec Total Coverage
Lines: 80 105 76.2%
Functions: 2 2 100.0%
Branches: 217 498 43.6%
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 exponential.\n\n";
12
13 #include <slepcfn.h>
14
15 /*
16 Compute matrix exponential B = expm(A)
17 */
18 432 PetscErrorCode TestMatExp(FN fn,Mat A,PetscViewer viewer,PetscBool verbose,PetscBool inplace,PetscBool checkerror)
19 {
20 432 PetscScalar tau,eta;
21 432 PetscBool set,flg;
22 432 PetscInt n;
23 432 Mat F,R,Finv,Acopy;
24 432 Vec v,f0;
25 432 FN finv;
26 432 PetscReal nrm,nrmf;
27
28
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 432 PetscFunctionBeginUser;
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 432 PetscCall(MatGetSize(A,&n,NULL));
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 432 PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&F));
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 432 PetscCall(PetscObjectSetName((PetscObject)F,"F"));
32 /* compute matrix exponential */
33
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 432 if (inplace) {
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 96 PetscCall(MatCopy(A,F,SAME_NONZERO_PATTERN));
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 96 PetscCall(MatIsHermitianKnown(A,&set,&flg));
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 96 if (set && flg) PetscCall(MatSetOption(F,MAT_HERMITIAN,PETSC_TRUE));
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 96 PetscCall(FNEvaluateFunctionMat(fn,F,NULL));
38 } else {
39
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 336 PetscCall(MatDuplicate(A,MAT_COPY_VALUES,&Acopy));
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 336 PetscCall(FNEvaluateFunctionMat(fn,A,F));
41 /* check that A has not been modified */
42
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 336 PetscCall(MatAXPY(Acopy,-1.0,A,SAME_NONZERO_PATTERN));
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 336 PetscCall(MatNorm(Acopy,NORM_1,&nrm));
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 336 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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 336 PetscCall(MatDestroy(&Acopy));
46 }
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 432 if (verbose) {
48 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix A - - - - - - - -\n"));
49 ✗ PetscCall(MatView(A,viewer));
50 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed expm(A) - - - - - - -\n"));
51 ✗ PetscCall(MatView(F,viewer));
52 }
53 /* print matrix norm for checking */
54
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 432 PetscCall(MatNorm(F,NORM_1,&nrmf));
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 432 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"The 1-norm of f(A) is %g\n",(double)nrmf));
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 432 if (checkerror) {
57 ✗ PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&Finv));
58 ✗ PetscCall(PetscObjectSetName((PetscObject)Finv,"Finv"));
59 ✗ PetscCall(FNGetScale(fn,&tau,&eta));
60 /* compute inverse exp(-tau*A)/eta */
61 ✗ PetscCall(FNCreate(PETSC_COMM_WORLD,&finv));
62 ✗ PetscCall(FNSetType(finv,FNEXP));
63 ✗ PetscCall(FNSetFromOptions(finv));
64 ✗ PetscCall(FNSetScale(finv,-tau,1.0/eta));
65 ✗ if (inplace) {
66 ✗ PetscCall(MatCopy(A,Finv,SAME_NONZERO_PATTERN));
67 ✗ PetscCall(MatIsHermitianKnown(A,&set,&flg));
68 ✗ if (set && flg) PetscCall(MatSetOption(Finv,MAT_HERMITIAN,PETSC_TRUE));
69 ✗ PetscCall(FNEvaluateFunctionMat(finv,Finv,NULL));
70 ✗ } else PetscCall(FNEvaluateFunctionMat(finv,A,Finv));
71 ✗ PetscCall(FNDestroy(&finv));
72 /* check error ||F*Finv-I||_F */
73 ✗ PetscCall(MatMatMult(F,Finv,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&R));
74 ✗ PetscCall(MatShift(R,-1.0));
75 ✗ PetscCall(MatNorm(R,NORM_FROBENIUS,&nrm));
76 ✗ if (nrm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||exp(A)*exp(-A)-I||_F < 100*eps\n"));
77 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||exp(A)*exp(-A)-I||_F = %g\n",(double)nrm));
78 ✗ PetscCall(MatDestroy(&R));
79 ✗ PetscCall(MatDestroy(&Finv));
80 }
81 /* check FNEvaluateFunctionMatVec() */
82
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 432 PetscCall(MatCreateVecs(A,&v,&f0));
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 432 PetscCall(MatGetColumnVector(F,f0,0));
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 432 PetscCall(FNEvaluateFunctionMatVec(fn,A,v));
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 432 PetscCall(VecAXPY(v,-1.0,f0));
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 432 PetscCall(VecNorm(v,NORM_2,&nrm));
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 432 if (nrm/nrmf>100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the norm of f(A)*e_1-v is %g\n",(double)nrm));
88
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 432 PetscCall(MatDestroy(&F));
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 432 PetscCall(VecDestroy(&v));
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 432 PetscCall(VecDestroy(&f0));
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 80 PetscFunctionReturn(PETSC_SUCCESS);
92 }
93
94 216 int main(int argc,char **argv)
95 {
96 216 FN fn;
97 216 Mat A=NULL;
98 216 PetscInt i,j,n=10;
99 216 PetscScalar *As;
100 216 PetscViewer viewer;
101 216 PetscBool verbose,inplace,checkerror,matcuda;
102
103
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 216 PetscFunctionBeginUser;
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 216 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 216 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 216 PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
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 216 PetscCall(PetscOptionsHasName(NULL,NULL,"-inplace",&inplace));
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 216 PetscCall(PetscOptionsHasName(NULL,NULL,"-checkerror",&checkerror));
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 216 PetscCall(PetscOptionsHasName(NULL,NULL,"-matcuda",&matcuda));
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 216 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix exponential, n=%" PetscInt_FMT ".\n",n));
111
112 /* Create exponential function object */
113
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 216 PetscCall(FNCreate(PETSC_COMM_WORLD,&fn));
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 216 PetscCall(FNSetType(fn,FNEXP));
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 216 PetscCall(FNSetFromOptions(fn));
116
117 /* Set up viewer */
118
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 216 PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
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 216 PetscCall(FNView(fn,viewer));
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 216 if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
121
122 /* Create matrices */
123
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 216 if (matcuda) {
124 #if defined(PETSC_HAVE_CUDA)
125
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 16 PetscCall(MatCreateSeqDenseCUDA(PETSC_COMM_SELF,n,n,NULL,&A));
126 #endif
127
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 200 } else PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&A));
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 216 PetscCall(PetscObjectSetName((PetscObject)A,"A"));
129
130 /* Fill A with a symmetric Toeplitz matrix */
131
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 216 PetscCall(MatDenseGetArray(A,&As));
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 6776 for (i=0;i<n;i++) As[i+i*n]=2.0;
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 648 for (j=1;j<3;j++) {
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 12904 for (i=0;i<n-j;i++) {
135 12472 As[i+(i+j)*n]=1.0;
136 12472 As[(i+j)+i*n]=1.0;
137 }
138 }
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 216 PetscCall(MatDenseRestoreArray(A,&As));
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 216 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
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 216 PetscCall(TestMatExp(fn,A,viewer,verbose,inplace,checkerror));
142
143 /* Repeat with non-symmetric A */
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 216 PetscCall(MatDenseGetArray(A,&As));
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 648 for (j=1;j<3;j++) {
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 12904 for (i=0;i<n-j;i++) As[(i+j)+i*n]=-1.0;
147 }
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 216 PetscCall(MatDenseRestoreArray(A,&As));
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 216 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_FALSE));
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 216 PetscCall(TestMatExp(fn,A,viewer,verbose,inplace,checkerror));
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 216 PetscCall(MatDestroy(&A));
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 216 PetscCall(FNDestroy(&fn));
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 216 PetscCall(SlepcFinalize());
155 return 0;
156 }
157
158 /*TEST
159
160 testset:
161 filter: grep -v "computing matrix functions"
162 output_file: output/test3_1.out
163 test:
164 suffix: 1
165 args: -fn_method {{0 1}}
166 test:
167 suffix: 1_subdiagonalpade
168 args: -fn_method {{2 3}}
169 requires: c99_complex !single
170 test:
171 suffix: 1_cuda
172 args: -fn_method 1 -matcuda
173 requires: cuda !magma
174 test:
175 suffix: 1_magma
176 args: -fn_method {{0 1 2 3}} -matcuda
177 requires: cuda magma
178 test:
179 suffix: 2
180 args: -inplace -fn_method{{0 1}}
181 test:
182 suffix: 2_subdiagonalpade
183 args: -inplace -fn_method{{2 3}}
184 requires: c99_complex !single
185 test:
186 suffix: 2_cuda
187 args: -inplace -fn_method 1 -matcuda
188 requires: cuda !magma
189 test:
190 suffix: 2_magma
191 args: -inplace -fn_method {{0 1 2 3}} -matcuda
192 requires: cuda magma
193
194 testset:
195 args: -fn_scale 0.1
196 filter: grep -v "computing matrix functions"
197 output_file: output/test3_3.out
198 test:
199 suffix: 3
200 args: -fn_method {{0 1}}
201 test:
202 suffix: 3_subdiagonalpade
203 args: -fn_method {{2 3}}
204 requires: c99_complex !single
205
206 testset:
207 args: -n 120 -fn_scale 0.6,1.5
208 filter: grep -v "computing matrix functions"
209 output_file: output/test3_4.out
210 test:
211 suffix: 4
212 args: -fn_method {{0 1}}
213 requires: !single
214 test:
215 suffix: 4_subdiagonalpade
216 args: -fn_method {{2 3}}
217 requires: c99_complex !single
218
219 test:
220 suffix: 5
221 args: -fn_scale 30 -fn_method {{2 3}}
222 filter: grep -v "computing matrix functions"
223 requires: c99_complex !single
224 output_file: output/test3_5.out
225
226 test:
227 suffix: 6
228 args: -fn_scale 1e-9 -fn_method {{2 3}}
229 filter: grep -v "computing matrix functions"
230 requires: c99_complex !single
231 output_file: output/test3_6.out
232
233 TEST*/
234