GCC Code Coverage Report

Directory: ./
File: src/sys/classes/fn/tests/test11.c
Date: 2025-12-10 04:20:18
Exec Total Coverage
Lines: 112 116 96.6%
Functions: 2 2 100.0%
Branches: 338 554 61.0%
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 Define the function
12
13 f(x) = (exp(x)-1)/x (the phi_1 function)
14
15 with the following tree:
16
17 f(x) f(x) (combined by division)
18 / \ p(x) = x (polynomial)
19 a(x) p(x) a(x) (combined by addition)
20 / \ e(x) = exp(x) (exponential)
21 e(x) c(x) c(x) = -1 (constant)
22 */
23
24 static char help[] = "Another test of a combined function.\n\n";
25
26 #include <slepcfn.h>
27
28 /*
29 Compute matrix function B = A\(exp(A)-I)
30 */
31 48 PetscErrorCode TestMatCombine(FN fn,Mat A,PetscViewer viewer,PetscBool verbose,PetscBool inplace)
32 {
33 48 PetscBool set,flg;
34 48 PetscInt n;
35 48 Mat F,Acopy;
36 48 Vec v,f0;
37 48 PetscReal nrm;
38
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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"));
43 /* compute matrix function */
44
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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));
48
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 24 PetscCall(FNEvaluateFunctionMat(fn,F,NULL));
49 } else {
50
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 24 PetscCall(MatDuplicate(A,MAT_COPY_VALUES,&Acopy));
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 24 PetscCall(FNEvaluateFunctionMat(fn,A,F));
52 /* 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));
57 }
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 48 if (verbose) {
59 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix A - - - - - - - -\n"));
60 ✗ PetscCall(MatView(A,viewer));
61 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed f(A) - - - - - - -\n"));
62 ✗ PetscCall(MatView(F,viewer));
63 }
64 /* print matrix norm for checking */
65
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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 %6.3f\n",(double)nrm));
67 /* check FNEvaluateFunctionMatVec() */
68
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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);
78 }
79
80 24 int main(int argc,char **argv)
81 {
82 24 FN f,p,a,e,c,f1,f2;
83 24 FNCombineType ctype;
84 24 Mat A=NULL;
85 24 PetscInt i,j,n=10,np;
86 24 PetscScalar x,y,yp,*As,coeffs[10];
87 24 char strx[50],str[50];
88 24 PetscViewer viewer;
89 24 PetscBool verbose,inplace,matcuda;
90
91
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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,"Phi1 via a combined function, n=%" PetscInt_FMT ".\n",n));
98
99 /* Create function */
100
101 /* e(x) = exp(x) */
102
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 24 PetscCall(FNCreate(PETSC_COMM_WORLD,&e));
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 24 PetscCall(PetscObjectSetName((PetscObject)e,"e"));
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 24 PetscCall(FNSetType(e,FNEXP));
105
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 24 PetscCall(FNSetFromOptions(e));
106 /* c(x) = -1 */
107
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 24 PetscCall(FNCreate(PETSC_COMM_WORLD,&c));
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 24 PetscCall(PetscObjectSetName((PetscObject)c,"c"));
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 24 PetscCall(FNSetType(c,FNRATIONAL));
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 24 PetscCall(FNSetFromOptions(c));
111 24 np = 1;
112 24 coeffs[0] = -1.0;
113
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 24 PetscCall(FNRationalSetNumerator(c,np,coeffs));
114 /* a(x) */
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 24 PetscCall(FNCreate(PETSC_COMM_WORLD,&a));
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 24 PetscCall(PetscObjectSetName((PetscObject)a,"a"));
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 24 PetscCall(FNSetType(a,FNCOMBINE));
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 24 PetscCall(FNSetFromOptions(a));
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 24 PetscCall(FNCombineSetChildren(a,FN_COMBINE_ADD,e,c));
120 /* p(x) = x */
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 24 PetscCall(FNCreate(PETSC_COMM_WORLD,&p));
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 24 PetscCall(PetscObjectSetName((PetscObject)p,"p"));
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 24 PetscCall(FNSetType(p,FNRATIONAL));
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 24 PetscCall(FNSetFromOptions(p));
125 24 np = 2;
126 24 coeffs[0] = 1.0; coeffs[1] = 0.0;
127
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 24 PetscCall(FNRationalSetNumerator(p,np,coeffs));
128 /* f(x) */
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 24 PetscCall(FNCreate(PETSC_COMM_WORLD,&f));
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 24 PetscCall(PetscObjectSetName((PetscObject)f,"f"));
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 24 PetscCall(FNSetType(f,FNCOMBINE));
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 24 PetscCall(FNSetFromOptions(f));
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 24 PetscCall(FNCombineSetChildren(f,FN_COMBINE_DIVIDE,a,p));
134
135 /* Set up viewer */
136
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 24 PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
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 24 PetscCall(FNCombineGetChildren(f,&ctype,&f1,&f2));
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 24 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Two functions combined with division:\n"));
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 24 PetscCall(FNView(f1,viewer));
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 24 PetscCall(FNView(f2,viewer));
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 24 if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
142
143 /* Scalar evaluation */
144 24 x = 2.2;
145
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 24 PetscCall(SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE));
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 24 PetscCall(FNEvaluateFunction(f,x,&y));
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 24 PetscCall(FNEvaluateDerivative(f,x,&yp));
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 24 PetscCall(SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE));
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 24 PetscCall(PetscPrintf(PETSC_COMM_WORLD," f(%s)=%s\n",strx,str));
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 24 PetscCall(SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE));
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 24 PetscCall(PetscPrintf(PETSC_COMM_WORLD," f'(%s)=%s\n",strx,str));
152
153 /* Create matrices */
154
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 24 if (matcuda) {
155 #if defined(PETSC_HAVE_CUDA)
156
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 4 PetscCall(MatCreateSeqDenseCUDA(PETSC_COMM_SELF,n,n,NULL,&A));
157 #endif
158
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 20 } else PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&A));
159
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 24 PetscCall(PetscObjectSetName((PetscObject)A,"A"));
160
161 /* Fill A with 1-D Laplacian matrix */
162
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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;
164 40 j=1;
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 240 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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 24 PetscCall(MatDenseRestoreArray(A,&As));
167
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 24 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
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 24 PetscCall(TestMatCombine(f,A,viewer,verbose,inplace));
169
170 /* 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(TestMatCombine(f,A,viewer,verbose,inplace));
173
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 24 PetscCall(MatDestroy(&A));
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 24 PetscCall(FNDestroy(&f));
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 24 PetscCall(FNDestroy(&p));
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 24 PetscCall(FNDestroy(&a));
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 24 PetscCall(FNDestroy(&e));
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 24 PetscCall(FNDestroy(&c));
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 24 PetscCall(SlepcFinalize());
181 return 0;
182 }
183
184 /*TEST
185
186 testset:
187 output_file: output/test11_1.out
188 test:
189 suffix: 1
190 test:
191 suffix: 1_cuda
192 args: -matcuda
193 requires: cuda
194 test:
195 suffix: 2
196 args: -inplace
197 test:
198 suffix: 2_cuda
199 args: -inplace -matcuda
200 requires: cuda
201
202 TEST*/
203