| 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[] = "User-defined split preconditioner when solving a quadratic eigenproblem.\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 <slepcpep.h> | ||
| 17 | |||
| 18 | 45 | int main(int argc,char **argv) | |
| 19 | { | ||
| 20 | 45 | Mat A[3],P[3]; /* problem matrices and split preconditioner matrices */ | |
| 21 | 45 | PEP pep; /* polynomial eigenproblem solver context */ | |
| 22 | 45 | ST st; | |
| 23 | 45 | PetscInt N,n=10,m,Istart,Iend,II,i,j; | |
| 24 | 45 | PetscBool flag,terse; | |
| 25 | |||
| 26 |
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45 | PetscFunctionBeginUser; |
| 27 |
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45 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 28 | |||
| 29 |
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45 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 30 |
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45 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
| 31 |
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45 | if (!flag) m=n; |
| 32 | 45 | N = n*m; | |
| 33 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nQuadratic Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
| 34 | |||
| 35 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 36 | Compute the matrices for (k^2*A_2+k*A_1+A_0)x=0, and their approximations | ||
| 37 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 38 | |||
| 39 | /* A[0] is the 2-D Laplacian */ | ||
| 40 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[0])); |
| 41 |
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45 | PetscCall(MatSetSizes(A[0],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 42 |
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45 | PetscCall(MatSetFromOptions(A[0])); |
| 43 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&P[0])); |
| 44 |
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45 | PetscCall(MatSetSizes(P[0],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 45 |
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45 | PetscCall(MatSetFromOptions(P[0])); |
| 46 | |||
| 47 |
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45 | PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend)); |
| 48 |
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5805 | for (II=Istart;II<Iend;II++) { |
| 49 | 5760 | i = II/n; j = II-i*n; | |
| 50 |
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5760 | if (i>0) PetscCall(MatSetValue(A[0],II,II-n,-1.0,INSERT_VALUES)); |
| 51 |
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5760 | if (i<m-1) PetscCall(MatSetValue(A[0],II,II+n,-1.0,INSERT_VALUES)); |
| 52 |
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5760 | if (j>0) PetscCall(MatSetValue(A[0],II,II-1,-1.0,INSERT_VALUES)); |
| 53 |
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5760 | if (j<n-1) PetscCall(MatSetValue(A[0],II,II+1,-1.0,INSERT_VALUES)); |
| 54 |
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5760 | PetscCall(MatSetValue(A[0],II,II,4.0,INSERT_VALUES)); |
| 55 |
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5760 | if (j>0) PetscCall(MatSetValue(P[0],II,II-1,-1.0,INSERT_VALUES)); |
| 56 |
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5760 | if (j<n-1) PetscCall(MatSetValue(P[0],II,II+1,-1.0,INSERT_VALUES)); |
| 57 |
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5760 | PetscCall(MatSetValue(P[0],II,II,4.0,INSERT_VALUES)); |
| 58 | } | ||
| 59 |
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45 | PetscCall(MatAssemblyBegin(A[0],MAT_FINAL_ASSEMBLY)); |
| 60 |
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45 | PetscCall(MatAssemblyEnd(A[0],MAT_FINAL_ASSEMBLY)); |
| 61 |
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45 | PetscCall(MatAssemblyBegin(P[0],MAT_FINAL_ASSEMBLY)); |
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45 | PetscCall(MatAssemblyEnd(P[0],MAT_FINAL_ASSEMBLY)); |
| 63 | |||
| 64 | /* A[1] is the 1-D Laplacian on horizontal lines */ | ||
| 65 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[1])); |
| 66 |
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45 | PetscCall(MatSetSizes(A[1],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 67 |
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45 | PetscCall(MatSetFromOptions(A[1])); |
| 68 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&P[1])); |
| 69 |
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45 | PetscCall(MatSetSizes(P[1],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 70 |
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45 | PetscCall(MatSetFromOptions(P[1])); |
| 71 | |||
| 72 |
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45 | PetscCall(MatGetOwnershipRange(A[1],&Istart,&Iend)); |
| 73 |
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5805 | for (II=Istart;II<Iend;II++) { |
| 74 | 5760 | i = II/n; j = II-i*n; | |
| 75 |
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5760 | if (j>0) PetscCall(MatSetValue(A[1],II,II-1,-1.0,INSERT_VALUES)); |
| 76 |
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5760 | if (j<n-1) PetscCall(MatSetValue(A[1],II,II+1,-1.0,INSERT_VALUES)); |
| 77 |
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5760 | PetscCall(MatSetValue(A[1],II,II,2.0,INSERT_VALUES)); |
| 78 |
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5760 | PetscCall(MatSetValue(P[1],II,II,2.0,INSERT_VALUES)); |
| 79 | } | ||
| 80 |
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45 | PetscCall(MatAssemblyBegin(A[1],MAT_FINAL_ASSEMBLY)); |
| 81 |
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45 | PetscCall(MatAssemblyEnd(A[1],MAT_FINAL_ASSEMBLY)); |
| 82 |
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45 | PetscCall(MatAssemblyBegin(P[1],MAT_FINAL_ASSEMBLY)); |
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45 | PetscCall(MatAssemblyEnd(P[1],MAT_FINAL_ASSEMBLY)); |
| 84 | |||
| 85 | /* A[2] is a diagonal matrix */ | ||
| 86 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[2])); |
| 87 |
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45 | PetscCall(MatSetSizes(A[2],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 88 |
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45 | PetscCall(MatSetFromOptions(A[2])); |
| 89 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&P[2])); |
| 90 |
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45 | PetscCall(MatSetSizes(P[2],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 91 |
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45 | PetscCall(MatSetFromOptions(P[2])); |
| 92 | |||
| 93 |
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45 | PetscCall(MatGetOwnershipRange(A[2],&Istart,&Iend)); |
| 94 |
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5805 | for (II=Istart;II<Iend;II++) { |
| 95 |
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5760 | PetscCall(MatSetValue(A[2],II,II,(PetscReal)(II+1),INSERT_VALUES)); |
| 96 |
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5760 | PetscCall(MatSetValue(P[2],II,II,(PetscReal)(II+1),INSERT_VALUES)); |
| 97 | } | ||
| 98 |
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45 | PetscCall(MatAssemblyBegin(A[2],MAT_FINAL_ASSEMBLY)); |
| 99 |
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45 | PetscCall(MatAssemblyEnd(A[2],MAT_FINAL_ASSEMBLY)); |
| 100 |
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45 | PetscCall(MatAssemblyBegin(P[2],MAT_FINAL_ASSEMBLY)); |
| 101 |
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45 | PetscCall(MatAssemblyEnd(P[2],MAT_FINAL_ASSEMBLY)); |
| 102 | |||
| 103 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 104 | Create the eigensolver and set various options | ||
| 105 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 106 | |||
| 107 |
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45 | PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep)); |
| 108 |
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45 | PetscCall(PEPSetOperators(pep,3,A)); |
| 109 |
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45 | PetscCall(PEPSetProblemType(pep,PEP_HERMITIAN)); |
| 110 | |||
| 111 |
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45 | PetscCall(PEPGetST(pep,&st)); |
| 112 |
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45 | PetscCall(STSetType(st,STSINVERT)); |
| 113 |
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45 | PetscCall(STSetSplitPreconditioner(st,3,P,SUBSET_NONZERO_PATTERN)); |
| 114 | |||
| 115 |
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45 | PetscCall(PEPSetTarget(pep,-2.0)); |
| 116 |
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45 | PetscCall(PEPSetWhichEigenpairs(pep,PEP_TARGET_MAGNITUDE)); |
| 117 | |||
| 118 | /* | ||
| 119 | Set solver parameters at runtime | ||
| 120 | */ | ||
| 121 |
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45 | PetscCall(PEPSetFromOptions(pep)); |
| 122 | |||
| 123 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 124 | Solve the eigensystem, display solution and clean up | ||
| 125 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 126 | |||
| 127 |
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45 | PetscCall(PEPSolve(pep)); |
| 128 | /* show detailed info unless -terse option is given by user */ | ||
| 129 |
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45 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
| 130 |
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45 | if (terse) PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL)); |
| 131 | else { | ||
| 132 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
| 133 | ✗ | PetscCall(PEPConvergedReasonView(pep,PETSC_VIEWER_STDOUT_WORLD)); | |
| 134 | ✗ | PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD)); | |
| 135 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
| 136 | } | ||
| 137 |
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45 | PetscCall(PEPDestroy(&pep)); |
| 138 |
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45 | PetscCall(MatDestroy(&A[0])); |
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45 | PetscCall(MatDestroy(&A[1])); |
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45 | PetscCall(MatDestroy(&A[2])); |
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45 | PetscCall(MatDestroy(&P[0])); |
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45 | PetscCall(MatDestroy(&P[1])); |
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45 | PetscCall(MatDestroy(&P[2])); |
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45 | PetscCall(SlepcFinalize()); |
| 145 | return 0; | ||
| 146 | } | ||
| 147 | |||
| 148 | /*TEST | ||
| 149 | |||
| 150 | testset: | ||
| 151 | args: -pep_nev 4 -pep_ncv 28 -n 12 -terse | ||
| 152 | output_file: output/ex50_1.out | ||
| 153 | requires: double | ||
| 154 | test: | ||
| 155 | suffix: 1 | ||
| 156 | args: -pep_type {{toar qarnoldi}} | ||
| 157 | test: | ||
| 158 | suffix: 1_linear | ||
| 159 | args: -pep_type linear -pep_general | ||
| 160 | |||
| 161 | testset: | ||
| 162 | args: -pep_all -n 12 -pep_type ciss -rg_type ellipse -rg_ellipse_center -1+1.5i -rg_ellipse_radius .3 -terse | ||
| 163 | output_file: output/ex50_2.out | ||
| 164 | requires: complex double | ||
| 165 | timeoutfactor: 2 | ||
| 166 | test: | ||
| 167 | suffix: 2 | ||
| 168 | test: | ||
| 169 | suffix: 2_par | ||
| 170 | nsize: 2 | ||
| 171 | args: -pep_ciss_partitions 2 | ||
| 172 | |||
| 173 | TEST*/ | ||
| 174 |