| 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[] = "Generalized eigenproblem, illustrates setting MUMPS options.\n\n" | ||
| 12 | "The problem is Ax = lambda Bx, with:\n" | ||
| 13 | " A = Laplacian operator in 2-D\n" | ||
| 14 | " B = diagonal matrix with all values equal to 4\n\n" | ||
| 15 | "The command line options are:\n" | ||
| 16 | " -n <n>, where <n> = number of grid subdivisions in x dimension.\n" | ||
| 17 | " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n"; | ||
| 18 | |||
| 19 | #include <slepceps.h> | ||
| 20 | |||
| 21 | 14 | int main(int argc,char **argv) | |
| 22 | { | ||
| 23 | 14 | Mat A,B; | |
| 24 | #if defined(PETSC_HAVE_MUMPS) | ||
| 25 | 6 | Mat K; | |
| 26 | #endif | ||
| 27 | 14 | EPS eps; | |
| 28 | 14 | EPSType type; | |
| 29 | 14 | ST st; | |
| 30 | 14 | KSP ksp; | |
| 31 | 14 | PC pc; | |
| 32 | 14 | PetscInt N,n=10,m=12,Istart,Iend,II,nev,i,j; | |
| 33 | 14 | PetscBool flag,terse; | |
| 34 | |||
| 35 |
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14 | PetscFunctionBeginUser; |
| 36 |
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14 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 37 | |||
| 38 |
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14 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 39 |
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14 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
| 40 | 14 | N = n*m; | |
| 41 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
| 42 | |||
| 43 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 44 | Compute the matrices that define the eigensystem, Ax=kBx | ||
| 45 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 46 | |||
| 47 |
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14 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 48 |
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14 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 49 |
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14 | PetscCall(MatSetFromOptions(A)); |
| 50 | |||
| 51 |
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14 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
| 52 |
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14 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 53 |
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14 | PetscCall(MatSetFromOptions(B)); |
| 54 | |||
| 55 |
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14 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
| 56 |
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1454 | for (II=Istart;II<Iend;II++) { |
| 57 | 1440 | i = II/n; j = II-i*n; | |
| 58 |
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1440 | if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES)); |
| 59 |
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1440 | if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES)); |
| 60 |
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1440 | if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES)); |
| 61 |
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1440 | if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES)); |
| 62 |
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1440 | PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES)); |
| 63 |
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1440 | PetscCall(MatSetValue(B,II,II,4.0,INSERT_VALUES)); |
| 64 | } | ||
| 65 | |||
| 66 |
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14 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 67 |
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14 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 68 |
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14 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
| 69 |
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14 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
| 70 | |||
| 71 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 72 | Create the eigensolver and set various options | ||
| 73 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 74 | |||
| 75 | /* | ||
| 76 | Create eigensolver context | ||
| 77 | */ | ||
| 78 |
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14 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
| 79 | |||
| 80 | /* | ||
| 81 | Set operators. In this case, it is a generalized eigenvalue problem | ||
| 82 | */ | ||
| 83 |
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14 | PetscCall(EPSSetOperators(eps,A,B)); |
| 84 |
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14 | PetscCall(EPSSetProblemType(eps,EPS_GNHEP)); |
| 85 | |||
| 86 | /* | ||
| 87 | Set some solver options | ||
| 88 | */ | ||
| 89 |
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14 | PetscCall(EPSSetTarget(eps,1.3)); |
| 90 |
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14 | PetscCall(EPSSetDimensions(eps,2,PETSC_DETERMINE,PETSC_DETERMINE)); |
| 91 |
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14 | PetscCall(EPSGetST(eps,&st)); |
| 92 |
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14 | PetscCall(STSetType(st,STSINVERT)); |
| 93 | |||
| 94 |
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14 | PetscCall(STGetKSP(st,&ksp)); |
| 95 |
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14 | PetscCall(KSPSetType(ksp,KSPPREONLY)); |
| 96 |
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14 | PetscCall(KSPGetPC(ksp,&pc)); |
| 97 |
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14 | PetscCall(PCSetType(pc,PCLU)); |
| 98 | |||
| 99 | /* | ||
| 100 | Set MUMPS options if available | ||
| 101 | */ | ||
| 102 | #if defined(PETSC_HAVE_MUMPS) | ||
| 103 |
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6 | PetscCall(PCFactorSetMatSolverType(pc,MATSOLVERMUMPS)); |
| 104 | /* the next line is required to force the creation of the ST operator and its passing to KSP */ | ||
| 105 |
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6 | PetscCall(STGetOperator(st,NULL)); |
| 106 |
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6 | PetscCall(PCFactorSetUpMatSolverType(pc)); |
| 107 |
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6 | PetscCall(PCFactorGetMatrix(pc,&K)); |
| 108 |
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6 | PetscCall(MatMumpsSetIcntl(K,14,50)); |
| 109 |
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6 | PetscCall(MatMumpsSetCntl(K,3,1e-12)); |
| 110 | #endif | ||
| 111 | |||
| 112 | /* | ||
| 113 | Let the user change settings at runtime | ||
| 114 | */ | ||
| 115 |
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14 | PetscCall(EPSSetFromOptions(eps)); |
| 116 | |||
| 117 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 118 | Solve the eigensystem | ||
| 119 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 120 | |||
| 121 |
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14 | PetscCall(EPSSolve(eps)); |
| 122 | |||
| 123 | /* | ||
| 124 | Optional: Get some information from the solver and display it | ||
| 125 | */ | ||
| 126 |
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14 | PetscCall(EPSGetType(eps,&type)); |
| 127 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type)); |
| 128 |
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14 | PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL)); |
| 129 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev)); |
| 130 | |||
| 131 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 132 | Display solution and clean up | ||
| 133 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 134 | |||
| 135 | /* show detailed info unless -terse option is given by user */ | ||
| 136 |
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14 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
| 137 |
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14 | if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL)); |
| 138 | else { | ||
| 139 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
| 140 | ✗ | PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD)); | |
| 141 | ✗ | PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); | |
| 142 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
| 143 | } | ||
| 144 |
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14 | PetscCall(EPSDestroy(&eps)); |
| 145 |
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14 | PetscCall(MatDestroy(&A)); |
| 146 |
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14 | PetscCall(MatDestroy(&B)); |
| 147 |
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14 | PetscCall(SlepcFinalize()); |
| 148 | return 0; | ||
| 149 | } | ||
| 150 | |||
| 151 | /*TEST | ||
| 152 | |||
| 153 | testset: | ||
| 154 | args: -terse | ||
| 155 | output_file: output/ex43_1.out | ||
| 156 | test: | ||
| 157 | suffix: 1 | ||
| 158 | test: | ||
| 159 | suffix: 2 | ||
| 160 | nsize: 2 | ||
| 161 | args: -st_pc_factor_mat_solver_type mumps | ||
| 162 | requires: mumps | ||
| 163 | |||
| 164 | TEST*/ | ||
| 165 |