GCC Code Coverage Report


Directory: ./
File: src/lme/tests/test2.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 64 74 86.5%
Functions: 1 1 100.0%
Branches: 194 354 54.8%

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 dense LME functions.\n\n";
12
13 #include <slepclme.h>
14
15 10 int main(int argc,char **argv)
16 {
17 10 LME lme;
18 10 Mat A,B,C,X;
19 10 PetscInt i,j,n=10,k=2;
20 10 PetscScalar *As,*Bs,*Cs,*Xs;
21 10 PetscViewer viewer;
22 10 PetscBool verbose;
23
24
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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(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
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10 PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Dense matrix equations, n=%" PetscInt_FMT ".\n",n));
30
31 /* Create LME object */
32
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10 PetscCall(LMECreate(PETSC_COMM_WORLD,&lme));
33
34 /* Set up viewer */
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10 PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
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10 if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
37
38 /* Create matrices */
39
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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(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&B));
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10 PetscCall(PetscObjectSetName((PetscObject)B,"B"));
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10 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,k,NULL,&C));
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10 PetscCall(PetscObjectSetName((PetscObject)C,"C"));
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10 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&X));
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10 PetscCall(PetscObjectSetName((PetscObject)X,"X"));
47
48 /* Fill A with an upper Hessenberg Toeplitz matrix */
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10 PetscCall(MatDenseGetArray(A,&As));
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110 for (i=0;i<n;i++) As[i+i*n]=3.0-(PetscReal)n/2;
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100 for (i=0;i<n-1;i++) As[i+1+i*n]=0.5;
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30 for (j=1;j<3;j++) {
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190 for (i=0;i<n-j;i++) As[i+(i+j)*n]=1.0;
54 }
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10 PetscCall(MatDenseRestoreArray(A,&As));
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10 if (verbose) {
58 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix A - - - - - - - -\n"));
59 PetscCall(MatView(A,viewer));
60 }
61
62 /* Fill B with the 1-D Laplacian matrix */
63
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10 PetscCall(MatDenseGetArray(B,&Bs));
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110 for (i=0;i<n;i++) Bs[i+i*n]=2.0;
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100 for (i=0;i<n-1;i++) { Bs[i+1+i*n]=-1; Bs[i+(i+1)*n]=-1; }
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10 PetscCall(MatDenseRestoreArray(B,&Bs));
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10 if (verbose) {
69 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix B - - - - - - - -\n"));
70 PetscCall(MatView(B,viewer));
71 }
72
73 /* Solve Lyapunov equation A*X+X*A'= -B */
74
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solving Lyapunov equation for B\n"));
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10 PetscCall(MatDenseGetArray(A,&As));
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10 PetscCall(MatDenseGetArray(B,&Bs));
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10 PetscCall(MatDenseGetArray(X,&Xs));
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10 PetscCall(LMEDenseLyapunov(lme,n,As,n,Bs,n,Xs,n));
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10 PetscCall(MatDenseRestoreArray(A,&As));
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10 PetscCall(MatDenseRestoreArray(B,&Bs));
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10 PetscCall(MatDenseRestoreArray(X,&Xs));
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10 if (verbose) {
83 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solution X - - - - - - - -\n"));
84 PetscCall(MatView(X,viewer));
85 }
86
87 /* Fill C with a full-rank nx2 matrix */
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10 PetscCall(MatDenseGetArray(C,&Cs));
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30 for (i=0;i<k;i++) Cs[i+i*n] = (i%2)? -1.0: 1.0;
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10 PetscCall(MatDenseRestoreArray(C,&Cs));
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10 if (verbose) {
93 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix C - - - - - - - -\n"));
94 PetscCall(MatView(C,viewer));
95 }
96
97 /* Solve Lyapunov equation A*X+X*A'= -C*C' */
98
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solving Lyapunov equation for C (Cholesky)\n"));
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10 PetscCall(MatDenseGetArray(A,&As));
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10 PetscCall(MatDenseGetArray(C,&Cs));
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10 PetscCall(MatDenseGetArray(X,&Xs));
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10 PetscCall(LMEDenseHessLyapunovChol(lme,n,As,n,2,Cs,n,Xs,n,NULL));
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10 PetscCall(MatDenseRestoreArray(A,&As));
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10 PetscCall(MatDenseRestoreArray(C,&Cs));
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10 PetscCall(MatDenseRestoreArray(X,&Xs));
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10 if (verbose) {
107 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solution X - - - - - - - -\n"));
108 PetscCall(MatView(X,viewer));
109 }
110
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10 PetscCall(MatDestroy(&A));
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10 PetscCall(MatDestroy(&B));
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10 PetscCall(MatDestroy(&C));
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10 PetscCall(MatDestroy(&X));
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10 PetscCall(LMEDestroy(&lme));
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10 PetscCall(SlepcFinalize());
117 return 0;
118 }
119
120 /*TEST
121
122 test:
123 args: -info :lme
124 requires: double
125 filter: sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/1e-\\1/g"
126
127 TEST*/
128