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[] = "Compute all eigenvalues in an interval of a symmetric-definite problem.\n\n" | ||
12 | "The command line options are:\n" | ||
13 | " -n <n>, where <n> = number of grid subdivisions in x dimension.\n" | ||
14 | " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n"; | ||
15 | |||
16 | #include <slepceps.h> | ||
17 | |||
18 | 10 | int main(int argc,char **argv) | |
19 | { | ||
20 | 10 | Mat A,B; /* matrices */ | |
21 | 10 | EPS eps; /* eigenproblem solver context */ | |
22 | 10 | ST st; /* spectral transformation context */ | |
23 | 10 | KSP ksp; | |
24 | 10 | PC pc; | |
25 | 10 | PetscInt N,n=35,m,Istart,Iend,II,nev,i,j,k,*inertias; | |
26 | 10 | PetscBool flag,showinertia=PETSC_TRUE; | |
27 | 10 | PetscReal int0,int1,*shifts; | |
28 | |||
29 |
1/2✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.
|
10 | PetscFunctionBeginUser; |
30 |
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)); |
31 | |||
32 |
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(PetscOptionsGetBool(NULL,NULL,"-showinertia",&showinertia,NULL)); |
33 |
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)); |
34 |
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,"-m",&m,&flag)); |
35 |
1/2✓ Branch 0 taken 10 times.
✗ Branch 1 not taken.
|
10 | if (!flag) m=n; |
36 | 10 | N = n*m; | |
37 |
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,"\nSymmetric-definite problem with two intervals, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
38 | |||
39 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
40 | Compute the matrices that define the eigensystem, Ax=kBx | ||
41 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
42 | |||
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(MatCreate(PETSC_COMM_WORLD,&A)); |
44 |
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(A,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
45 |
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(A)); |
46 | |||
47 |
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,&B)); |
48 |
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(B,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
49 |
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(B)); |
50 | |||
51 |
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(A,&Istart,&Iend)); |
52 |
2/2✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.
|
12260 | for (II=Istart;II<Iend;II++) { |
53 | 12250 | i = II/n; j = II-i*n; | |
54 |
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.
|
12250 | if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES)); |
55 |
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.
|
12250 | if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES)); |
56 |
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.
|
12250 | if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES)); |
57 |
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.
|
12250 | if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES)); |
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.
|
12250 | PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES)); |
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.
|
12250 | PetscCall(MatSetValue(B,II,II,2.0,INSERT_VALUES)); |
60 | } | ||
61 |
1/2✓ Branch 0 taken 10 times.
✗ Branch 1 not taken.
|
10 | if (Istart==0) { |
62 |
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(MatSetValue(B,0,0,6.0,INSERT_VALUES)); |
63 |
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(MatSetValue(B,0,1,-1.0,INSERT_VALUES)); |
64 |
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(MatSetValue(B,1,0,-1.0,INSERT_VALUES)); |
65 |
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(MatSetValue(B,1,1,1.0,INSERT_VALUES)); |
66 | } | ||
67 | |||
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(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
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(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
70 |
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(B,MAT_FINAL_ASSEMBLY)); |
71 |
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(B,MAT_FINAL_ASSEMBLY)); |
72 | |||
73 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
74 | Create the eigensolver and set various options | ||
75 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
76 | |||
77 |
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(EPSCreate(PETSC_COMM_WORLD,&eps)); |
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(EPSSetOperators(eps,A,B)); |
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(EPSSetProblemType(eps,EPS_GHEP)); |
80 | |||
81 | /* | ||
82 | Set first interval and other settings for spectrum slicing | ||
83 | */ | ||
84 |
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(EPSSetType(eps,EPSKRYLOVSCHUR)); |
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(EPSSetWhichEigenpairs(eps,EPS_ALL)); |
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(EPSSetInterval(eps,1.1,1.3)); |
87 |
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(EPSGetST(eps,&st)); |
88 |
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(STSetType(st,STSINVERT)); |
89 |
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(EPSKrylovSchurGetKSP(eps,&ksp)); |
90 |
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(KSPGetPC(ksp,&pc)); |
91 |
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(KSPSetType(ksp,KSPPREONLY)); |
92 |
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(PCSetType(pc,PCCHOLESKY)); |
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(EPSSetFromOptions(eps)); |
94 | |||
95 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
96 | Solve for first interval and display info | ||
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(EPSSolve(eps)); |
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(EPSGetDimensions(eps,&nev,NULL,NULL)); |
101 |
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(EPSGetInterval(eps,&int0,&int1)); |
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(PetscPrintf(PETSC_COMM_WORLD," Found %" PetscInt_FMT " eigenvalues in interval [%g,%g]\n",nev,(double)int0,(double)int1)); |
103 |
1/2✗ Branch 0 not taken.
✓ Branch 1 taken 10 times.
|
10 | if (showinertia) { |
104 | ✗ | PetscCall(EPSKrylovSchurGetInertias(eps,&k,&shifts,&inertias)); | |
105 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Used %" PetscInt_FMT " shifts (inertia):\n",k)); | |
106 | ✗ | for (i=0;i<k;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD," .. %g (%" PetscInt_FMT ")\n",(double)shifts[i],inertias[i])); | |
107 | ✗ | PetscCall(PetscFree(shifts)); | |
108 | ✗ | PetscCall(PetscFree(inertias)); | |
109 | } | ||
110 | |||
111 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
112 | Solve for second interval and display info | ||
113 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
114 |
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(EPSSetInterval(eps,1.499,1.6)); |
115 |
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(EPSSolve(eps)); |
116 |
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(EPSGetDimensions(eps,&nev,NULL,NULL)); |
117 |
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(EPSGetInterval(eps,&int0,&int1)); |
118 |
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," Found %" PetscInt_FMT " eigenvalues in interval [%g,%g]\n",nev,(double)int0,(double)int1)); |
119 |
1/2✗ Branch 0 not taken.
✓ Branch 1 taken 10 times.
|
10 | if (showinertia) { |
120 | ✗ | PetscCall(EPSKrylovSchurGetInertias(eps,&k,&shifts,&inertias)); | |
121 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Used %" PetscInt_FMT " shifts (inertia):\n",k)); | |
122 | ✗ | for (i=0;i<k;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD," .. %g (%" PetscInt_FMT ")\n",(double)shifts[i],inertias[i])); | |
123 | ✗ | PetscCall(PetscFree(shifts)); | |
124 | ✗ | PetscCall(PetscFree(inertias)); | |
125 | } | ||
126 | |||
127 |
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(EPSDestroy(&eps)); |
128 |
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)); |
129 |
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(&B)); |
130 |
3/6✓ Branch 0 taken 2 times.
✓ Branch 1 taken 2 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✗ Branch 5 not taken.
|
10 | PetscCall(SlepcFinalize()); |
131 | return 0; | ||
132 | } | ||
133 | |||
134 | /*TEST | ||
135 | |||
136 | test: | ||
137 | suffix: 1 | ||
138 | args: -showinertia 0 -eps_error_relative | ||
139 | requires: !single | ||
140 | |||
141 | TEST*/ | ||
142 |