| 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 a user-defined convergence test in PEP (based on ex16.c).\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 | /* | ||
| 19 | MyConvergedRel - Convergence test relative to the norm of M (given in ctx). | ||
| 20 | */ | ||
| 21 | 50 | PetscErrorCode MyConvergedRel(PEP pep,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx) | |
| 22 | { | ||
| 23 | 50 | PetscReal norm = *(PetscReal*)ctx; | |
| 24 | |||
| 25 |
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50 | PetscFunctionBegin; |
| 26 | 50 | *errest = res/norm; | |
| 27 |
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50 | PetscFunctionReturn(PETSC_SUCCESS); |
| 28 | } | ||
| 29 | |||
| 30 | 10 | int main(int argc,char **argv) | |
| 31 | { | ||
| 32 | 10 | Mat M,C,K,A[3]; /* problem matrices */ | |
| 33 | 10 | PEP pep; /* polynomial eigenproblem solver context */ | |
| 34 | 10 | PetscInt N,n=10,m,Istart,Iend,II,nev,i,j; | |
| 35 | 10 | PetscBool flag; | |
| 36 | 10 | PetscReal norm; | |
| 37 | |||
| 38 |
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10 | PetscFunctionBeginUser; |
| 39 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 40 | |||
| 41 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 42 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
| 43 |
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10 | if (!flag) m=n; |
| 44 | 10 | N = n*m; | |
| 45 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nQuadratic Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
| 46 | |||
| 47 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 48 | Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0 | ||
| 49 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 50 | |||
| 51 | /* K is the 2-D Laplacian */ | ||
| 52 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&K)); |
| 53 |
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10 | PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 54 |
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10 | PetscCall(MatSetFromOptions(K)); |
| 55 |
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10 | PetscCall(MatGetOwnershipRange(K,&Istart,&Iend)); |
| 56 |
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1010 | for (II=Istart;II<Iend;II++) { |
| 57 | 1000 | i = II/n; j = II-i*n; | |
| 58 |
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1000 | if (i>0) PetscCall(MatSetValue(K,II,II-n,-1.0,INSERT_VALUES)); |
| 59 |
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1000 | if (i<m-1) PetscCall(MatSetValue(K,II,II+n,-1.0,INSERT_VALUES)); |
| 60 |
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1000 | if (j>0) PetscCall(MatSetValue(K,II,II-1,-1.0,INSERT_VALUES)); |
| 61 |
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1000 | if (j<n-1) PetscCall(MatSetValue(K,II,II+1,-1.0,INSERT_VALUES)); |
| 62 |
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1000 | PetscCall(MatSetValue(K,II,II,4.0,INSERT_VALUES)); |
| 63 | } | ||
| 64 |
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10 | PetscCall(MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY)); |
| 65 |
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10 | PetscCall(MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY)); |
| 66 | |||
| 67 | /* C is the 1-D Laplacian on horizontal lines */ | ||
| 68 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&C)); |
| 69 |
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10 | PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 70 |
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10 | PetscCall(MatSetFromOptions(C)); |
| 71 |
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10 | PetscCall(MatGetOwnershipRange(C,&Istart,&Iend)); |
| 72 |
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1010 | for (II=Istart;II<Iend;II++) { |
| 73 | 1000 | i = II/n; j = II-i*n; | |
| 74 |
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1000 | if (j>0) PetscCall(MatSetValue(C,II,II-1,-1.0,INSERT_VALUES)); |
| 75 |
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1000 | if (j<n-1) PetscCall(MatSetValue(C,II,II+1,-1.0,INSERT_VALUES)); |
| 76 |
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1000 | PetscCall(MatSetValue(C,II,II,2.0,INSERT_VALUES)); |
| 77 | } | ||
| 78 |
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10 | PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY)); |
| 79 |
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10 | PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY)); |
| 80 | |||
| 81 | /* M is a diagonal matrix */ | ||
| 82 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&M)); |
| 83 |
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10 | PetscCall(MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 84 |
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10 | PetscCall(MatSetFromOptions(M)); |
| 85 |
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10 | PetscCall(MatGetOwnershipRange(M,&Istart,&Iend)); |
| 86 |
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1010 | for (II=Istart;II<Iend;II++) PetscCall(MatSetValue(M,II,II,(PetscReal)(II+1),INSERT_VALUES)); |
| 87 |
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10 | PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY)); |
| 88 |
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10 | PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY)); |
| 89 | |||
| 90 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 91 | Create the eigensolver and set various options | ||
| 92 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 93 | |||
| 94 |
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10 | PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep)); |
| 95 | 10 | A[0] = K; A[1] = C; A[2] = M; | |
| 96 |
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10 | PetscCall(PEPSetOperators(pep,3,A)); |
| 97 |
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10 | PetscCall(PEPSetProblemType(pep,PEP_HERMITIAN)); |
| 98 |
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10 | PetscCall(PEPSetDimensions(pep,4,20,PETSC_DETERMINE)); |
| 99 | |||
| 100 | /* setup convergence test relative to the norm of M */ | ||
| 101 |
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10 | PetscCall(MatNorm(M,NORM_1,&norm)); |
| 102 |
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10 | PetscCall(PEPSetConvergenceTestFunction(pep,MyConvergedRel,&norm,NULL)); |
| 103 |
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10 | PetscCall(PEPSetFromOptions(pep)); |
| 104 | |||
| 105 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 106 | Solve the eigensystem | ||
| 107 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 108 | |||
| 109 |
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10 | PetscCall(PEPSolve(pep)); |
| 110 |
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10 | PetscCall(PEPGetDimensions(pep,&nev,NULL,NULL)); |
| 111 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev)); |
| 112 | |||
| 113 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 114 | Display solution and clean up | ||
| 115 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 116 | |||
| 117 |
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10 | PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL)); |
| 118 |
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10 | PetscCall(PEPDestroy(&pep)); |
| 119 |
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10 | PetscCall(MatDestroy(&M)); |
| 120 |
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10 | PetscCall(MatDestroy(&C)); |
| 121 |
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10 | PetscCall(MatDestroy(&K)); |
| 122 |
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10 | PetscCall(SlepcFinalize()); |
| 123 | return 0; | ||
| 124 | } | ||
| 125 | |||
| 126 | /*TEST | ||
| 127 | |||
| 128 | testset: | ||
| 129 | requires: double | ||
| 130 | suffix: 1 | ||
| 131 | |||
| 132 | TEST*/ | ||
| 133 |