GCC Code Coverage Report

Directory:	./
File:	src/sys/mat/tests/test2.c
Date:	2026-05-04 03:58:11

	Exec	Total	Coverage
Lines:	51	51	100.0%
Functions:	1	1	100.0%
Branches:	133	200	66.5%

  
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      Exec
      Source
    
      /*
    
         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
         SLEPc - Scalable Library for Eigenvalue Problem Computations
    
         Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
    
         This file is part of SLEPc.
    
         SLEPc is distributed under a 2-clause BSD license (see LICENSE).
    
         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
      */
    
      static char help[] = "Tests MatNormEstimate() on the Brusselator matrix.\n\n"
    
        "The command line options are:\n"
    
        "  -n <n>, where <n> = block dimension of the 2x2 block matrix.\n"
    
        "  -L <L>, where <L> = bifurcation parameter.\n"
    
        "  -alpha <alpha>, -beta <beta>, -delta1 <delta1>,  -delta2 <delta2>,\n"
    
        "       where <alpha> <beta> <delta1> <delta2> = model parameters.\n\n";
    
      #include <slepcsys.h>
    
      /*
    
         The Brusselator matrix is
    
              A = [ tau1*T+(beta-1)*I     alpha^2*I
    
                        -beta*I        tau2*T-alpha^2*I ],
    
         where
    
              T = tridiag{1,-2,1}
    
              h = 1/(n+1)
    
              tau1 = delta1/(h*L)^2
    
              tau2 = delta2/(h*L)^2
    
       */
    
      10
      int main(int argc,char **argv)
    
      {
    
      10
        Mat            A,T1,T2,D1,D2,mats[4];
    
      10
        PetscScalar    alpha,beta,tau1,tau2,delta1,delta2,L,h;
    
      10
        PetscReal      nrm;
    
      10
        PetscInt       N=30,i,Istart,Iend;
    
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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));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
              Generate the matrix
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
      10
        alpha  = 2.0;
    
      10
        beta   = 5.45;
    
      10
        delta1 = 0.008;
    
      10
        delta2 = 0.004;
    
      10
        L      = 0.51302;
    
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      10
        PetscCall(PetscOptionsGetScalar(NULL,NULL,"-L",&L,NULL));
    
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      10
        PetscCall(PetscOptionsGetScalar(NULL,NULL,"-alpha",&alpha,NULL));
    
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      10
        PetscCall(PetscOptionsGetScalar(NULL,NULL,"-beta",&beta,NULL));
    
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      10
        PetscCall(PetscOptionsGetScalar(NULL,NULL,"-delta1",&delta1,NULL));
    
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      10
        PetscCall(PetscOptionsGetScalar(NULL,NULL,"-delta2",&delta2,NULL));
    
      10
        h    = 1.0 / (PetscReal)(N+1);
    
      10
        tau1 = delta1 / ((h*L)*(h*L));
    
      10
        tau2 = delta2 / ((h*L)*(h*L));
    
        /* Create matrices T1, T2 */
    
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      10
        PetscCall(MatCreate(PETSC_COMM_WORLD,&T1));
    
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      10
        PetscCall(MatSetSizes(T1,PETSC_DECIDE,PETSC_DECIDE,N,N));
    
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      10
        PetscCall(MatSetFromOptions(T1));
    
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      10
        PetscCall(MatGetOwnershipRange(T1,&Istart,&Iend));
    
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      310
        for (i=Istart;i<Iend;i++) {
    
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      300
          if (i>0) PetscCall(MatSetValue(T1,i,i-1,1.0,INSERT_VALUES));
    
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      300
          if (i<N-1) PetscCall(MatSetValue(T1,i,i+1,1.0,INSERT_VALUES));
    
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      300
          PetscCall(MatSetValue(T1,i,i,-2.0,INSERT_VALUES));
    
        }
    
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      10
        PetscCall(MatAssemblyBegin(T1,MAT_FINAL_ASSEMBLY));
    
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      10
        PetscCall(MatAssemblyEnd(T1,MAT_FINAL_ASSEMBLY));
    
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      10
        PetscCall(MatDuplicate(T1,MAT_COPY_VALUES,&T2));
    
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      10
        PetscCall(MatScale(T1,tau1));
    
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      10
        PetscCall(MatShift(T1,beta-1.0));
    
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      10
        PetscCall(MatScale(T2,tau2));
    
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      10
        PetscCall(MatShift(T2,-alpha*alpha));
    
        /* Create matrices D1, D2 */
    
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      10
        PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,N,N,alpha*alpha,&D1));
    
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      10
        PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,N,N,-beta,&D2));
    
        /* Create the nest matrix */
    
      10
        mats[0] = T1;
    
      10
        mats[1] = D1;
    
      10
        mats[2] = D2;
    
      10
        mats[3] = T2;
    
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      10
        PetscCall(MatCreateNest(PETSC_COMM_WORLD,2,NULL,2,NULL,mats,&A));
    
        /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
              Estimate the norm
    
           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    
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      10
        PetscCall(MatNormEstimate(A,NULL,NULL,&nrm));
    
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      10
        PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nBrusselator matrix, n=%" PetscInt_FMT " - estimated norm = %g\n\n",N,(double)nrm));
    
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      10
        PetscCall(MatDestroy(&A));
    
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      10
        PetscCall(MatDestroy(&T1));
    
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      10
        PetscCall(MatDestroy(&T2));
    
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      10
        PetscCall(MatDestroy(&D1));
    
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      10
        PetscCall(MatDestroy(&D2));
    
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      10
        PetscCall(SlepcFinalize());
    
        return 0;
    
      }
    
      /*TEST
    
         test:
    
           suffix: 1
    
           requires: !complex
    
         test:
    
           suffix: 1_complex
    
           requires: complex
    
      TEST*/

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[] = "Tests MatNormEstimate() on the Brusselator matrix.\n\n"
12			"The command line options are:\n"
13			" -n <n>, where <n> = block dimension of the 2x2 block matrix.\n"
14			" -L <L>, where <L> = bifurcation parameter.\n"
15			" -alpha <alpha>, -beta <beta>, -delta1 <delta1>, -delta2 <delta2>,\n"
16			" where <alpha> <beta> <delta1> <delta2> = model parameters.\n\n";
17
18			#include <slepcsys.h>
19
20			/*
21			The Brusselator matrix is
22
23			A = [ tau1T+(beta-1)I alpha^2*I
24			-betaI tau2T-alpha^2*I ],
25
26			where
27
28			T = tridiag{1,-2,1}
29			h = 1/(n+1)
30			tau1 = delta1/(h*L)^2
31			tau2 = delta2/(h*L)^2
32			*/
33
34		10	int main(int argc,char **argv)
35			{
36		10	Mat A,T1,T2,D1,D2,mats[4];
37		10	PetscScalar alpha,beta,tau1,tau2,delta1,delta2,L,h;
38		10	PetscReal nrm;
39		10	PetscInt N=30,i,Istart,Iend;
40
41	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	10	PetscFunctionBeginUser;
42	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
43	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&N,NULL));
44
45			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
46			Generate the matrix
47			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
48
49		10	alpha = 2.0;
50		10	beta = 5.45;
51		10	delta1 = 0.008;
52		10	delta2 = 0.004;
53		10	L = 0.51302;
54
55	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(PetscOptionsGetScalar(NULL,NULL,"-L",&L,NULL));
56	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(PetscOptionsGetScalar(NULL,NULL,"-alpha",&alpha,NULL));
57	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(PetscOptionsGetScalar(NULL,NULL,"-beta",&beta,NULL));
58	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(PetscOptionsGetScalar(NULL,NULL,"-delta1",&delta1,NULL));
59	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(PetscOptionsGetScalar(NULL,NULL,"-delta2",&delta2,NULL));
60
61		10	h = 1.0 / (PetscReal)(N+1);
62		10	tau1 = delta1 / ((hL)(h*L));
63		10	tau2 = delta2 / ((hL)(h*L));
64
65			/* Create matrices T1, T2 */
66	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatCreate(PETSC_COMM_WORLD,&T1));
67	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatSetSizes(T1,PETSC_DECIDE,PETSC_DECIDE,N,N));
68	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatSetFromOptions(T1));
69	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatGetOwnershipRange(T1,&Istart,&Iend));
70	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	310	for (i=Istart;i<Iend;i++) {
71	6/8 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	300	if (i>0) PetscCall(MatSetValue(T1,i,i-1,1.0,INSERT_VALUES));
72	6/8 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	300	if (i<N-1) PetscCall(MatSetValue(T1,i,i+1,1.0,INSERT_VALUES));
73	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	300	PetscCall(MatSetValue(T1,i,i,-2.0,INSERT_VALUES));
74			}
75	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatAssemblyBegin(T1,MAT_FINAL_ASSEMBLY));
76	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatAssemblyEnd(T1,MAT_FINAL_ASSEMBLY));
77
78	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatDuplicate(T1,MAT_COPY_VALUES,&T2));
79	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatScale(T1,tau1));
80	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatShift(T1,beta-1.0));
81	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatScale(T2,tau2));
82	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatShift(T2,-alpha*alpha));
83
84			/* Create matrices D1, D2 */
85	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,N,N,alpha*alpha,&D1));
86	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,N,N,-beta,&D2));
87
88			/* Create the nest matrix */
89		10	mats[0] = T1;
90		10	mats[1] = D1;
91		10	mats[2] = D2;
92		10	mats[3] = T2;
93	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatCreateNest(PETSC_COMM_WORLD,2,NULL,2,NULL,mats,&A));
94
95			/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
96			Estimate the norm
97			- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
98
99	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatNormEstimate(A,NULL,NULL,&nrm));
100	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nBrusselator matrix, n=%" PetscInt_FMT " - estimated norm = %g\n\n",N,(double)nrm));
101
102	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatDestroy(&A));
103	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatDestroy(&T1));
104	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatDestroy(&T2));
105	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatDestroy(&D1));
106	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	10	PetscCall(MatDestroy(&D2));
107	2/6 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✗ Branch 5 not taken.	10	PetscCall(SlepcFinalize());
108			return 0;
109			}
110
111			/*TEST
112
113			test:
114			suffix: 1
115			requires: !complex
116
117			test:
118			suffix: 1_complex
119			requires: complex
120
121			TEST*/
122