| 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[] = "Illustrates use of PEPSetEigenvalueComparison().\n\n" | ||
| 12 | "Based on butterfly.c. The command line options are:\n" | ||
| 13 | " -m <m>, grid size, the dimension of the matrices is n=m*m.\n" | ||
| 14 | " -c <array>, problem parameters, must be 10 comma-separated real values.\n\n"; | ||
| 15 | |||
| 16 | #include <slepcpep.h> | ||
| 17 | |||
| 18 | #define NMAT 5 | ||
| 19 | |||
| 20 | /* | ||
| 21 | Function for user-defined eigenvalue ordering criterion. | ||
| 22 | |||
| 23 | Given two eigenvalues ar+i*ai and br+i*bi, the subroutine must choose | ||
| 24 | one of them as the preferred one according to the criterion. | ||
| 25 | In this example, eigenvalues are sorted by magnitude but those with | ||
| 26 | positive real part are preferred. | ||
| 27 | */ | ||
| 28 | 7830 | PetscErrorCode MyEigenSort(PetscScalar ar,PetscScalar ai,PetscScalar br,PetscScalar bi,PetscInt *r,void *ctx) | |
| 29 | { | ||
| 30 | 7830 | PetscReal rea,reb; | |
| 31 | |||
| 32 |
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7830 | PetscFunctionBeginUser; |
| 33 | #if defined(PETSC_USE_COMPLEX) | ||
| 34 | 6155 | rea = PetscRealPart(ar); reb = PetscRealPart(br); | |
| 35 | #else | ||
| 36 | 1675 | rea = ar; reb = br; | |
| 37 | #endif | ||
| 38 |
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7830 | *r = rea<0.0? 1: (reb<0.0? -1: PetscSign(SlepcAbsEigenvalue(br,bi)-SlepcAbsEigenvalue(ar,ai))); |
| 39 |
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7830 | PetscFunctionReturn(PETSC_SUCCESS); |
| 40 | } | ||
| 41 | |||
| 42 | 10 | int main(int argc,char **argv) | |
| 43 | { | ||
| 44 | 10 | Mat A[NMAT]; /* problem matrices */ | |
| 45 | 10 | PEP pep; /* polynomial eigenproblem solver context */ | |
| 46 | 10 | PetscInt n,m=8,k,II,Istart,Iend,i,j; | |
| 47 | 10 | PetscReal c[10] = { 0.6, 1.3, 1.3, 0.1, 0.1, 1.2, 1.0, 1.0, 1.2, 1.0 }; | |
| 48 | 10 | PetscBool flg; | |
| 49 | 10 | PetscBool terse; | |
| 50 | 10 | const char *prefix; | |
| 51 | |||
| 52 |
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10 | PetscFunctionBeginUser; |
| 53 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 54 | |||
| 55 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
| 56 | 10 | n = m*m; | |
| 57 | 10 | k = 10; | |
| 58 |
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10 | PetscCall(PetscOptionsGetRealArray(NULL,NULL,"-c",c,&k,&flg)); |
| 59 |
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10 | PetscCheck(!flg || k==10,PETSC_COMM_WORLD,PETSC_ERR_USER,"The number of parameters -c should be 10, you provided %" PetscInt_FMT,k); |
| 60 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nButterfly problem, n=%" PetscInt_FMT " (m=%" PetscInt_FMT ")\n\n",n,m)); |
| 61 | |||
| 62 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 63 | Compute the polynomial matrices | ||
| 64 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 65 | |||
| 66 | /* initialize matrices */ | ||
| 67 |
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60 | for (i=0;i<NMAT;i++) { |
| 68 |
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50 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[i])); |
| 69 |
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50 | PetscCall(MatSetSizes(A[i],PETSC_DECIDE,PETSC_DECIDE,n,n)); |
| 70 |
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50 | PetscCall(MatSetFromOptions(A[i])); |
| 71 | } | ||
| 72 |
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10 | PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend)); |
| 73 | |||
| 74 | /* A0 */ | ||
| 75 |
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650 | for (II=Istart;II<Iend;II++) { |
| 76 | 640 | i = II/m; j = II-i*m; | |
| 77 |
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640 | PetscCall(MatSetValue(A[0],II,II,4.0*c[0]/6.0+4.0*c[1]/6.0,INSERT_VALUES)); |
| 78 |
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640 | if (j>0) PetscCall(MatSetValue(A[0],II,II-1,c[0]/6.0,INSERT_VALUES)); |
| 79 |
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640 | if (j<m-1) PetscCall(MatSetValue(A[0],II,II+1,c[0]/6.0,INSERT_VALUES)); |
| 80 |
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640 | if (i>0) PetscCall(MatSetValue(A[0],II,II-m,c[1]/6.0,INSERT_VALUES)); |
| 81 |
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640 | if (i<m-1) PetscCall(MatSetValue(A[0],II,II+m,c[1]/6.0,INSERT_VALUES)); |
| 82 | } | ||
| 83 | |||
| 84 | /* A1 */ | ||
| 85 |
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650 | for (II=Istart;II<Iend;II++) { |
| 86 | 640 | i = II/m; j = II-i*m; | |
| 87 |
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640 | if (j>0) PetscCall(MatSetValue(A[1],II,II-1,c[2],INSERT_VALUES)); |
| 88 |
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640 | if (j<m-1) PetscCall(MatSetValue(A[1],II,II+1,-c[2],INSERT_VALUES)); |
| 89 |
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640 | if (i>0) PetscCall(MatSetValue(A[1],II,II-m,c[3],INSERT_VALUES)); |
| 90 |
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640 | if (i<m-1) PetscCall(MatSetValue(A[1],II,II+m,-c[3],INSERT_VALUES)); |
| 91 | } | ||
| 92 | |||
| 93 | /* A2 */ | ||
| 94 |
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650 | for (II=Istart;II<Iend;II++) { |
| 95 | 640 | i = II/m; j = II-i*m; | |
| 96 |
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640 | PetscCall(MatSetValue(A[2],II,II,-2.0*c[4]-2.0*c[5],INSERT_VALUES)); |
| 97 |
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640 | if (j>0) PetscCall(MatSetValue(A[2],II,II-1,c[4],INSERT_VALUES)); |
| 98 |
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640 | if (j<m-1) PetscCall(MatSetValue(A[2],II,II+1,c[4],INSERT_VALUES)); |
| 99 |
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640 | if (i>0) PetscCall(MatSetValue(A[2],II,II-m,c[5],INSERT_VALUES)); |
| 100 |
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640 | if (i<m-1) PetscCall(MatSetValue(A[2],II,II+m,c[5],INSERT_VALUES)); |
| 101 | } | ||
| 102 | |||
| 103 | /* A3 */ | ||
| 104 |
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650 | for (II=Istart;II<Iend;II++) { |
| 105 | 640 | i = II/m; j = II-i*m; | |
| 106 |
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640 | if (j>0) PetscCall(MatSetValue(A[3],II,II-1,c[6],INSERT_VALUES)); |
| 107 |
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640 | if (j<m-1) PetscCall(MatSetValue(A[3],II,II+1,-c[6],INSERT_VALUES)); |
| 108 |
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640 | if (i>0) PetscCall(MatSetValue(A[3],II,II-m,c[7],INSERT_VALUES)); |
| 109 |
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640 | if (i<m-1) PetscCall(MatSetValue(A[3],II,II+m,-c[7],INSERT_VALUES)); |
| 110 | } | ||
| 111 | |||
| 112 | /* A4 */ | ||
| 113 |
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650 | for (II=Istart;II<Iend;II++) { |
| 114 | 640 | i = II/m; j = II-i*m; | |
| 115 |
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640 | PetscCall(MatSetValue(A[4],II,II,2.0*c[8]+2.0*c[9],INSERT_VALUES)); |
| 116 |
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640 | if (j>0) PetscCall(MatSetValue(A[4],II,II-1,-c[8],INSERT_VALUES)); |
| 117 |
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640 | if (j<m-1) PetscCall(MatSetValue(A[4],II,II+1,-c[8],INSERT_VALUES)); |
| 118 |
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640 | if (i>0) PetscCall(MatSetValue(A[4],II,II-m,-c[9],INSERT_VALUES)); |
| 119 |
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640 | if (i<m-1) PetscCall(MatSetValue(A[4],II,II+m,-c[9],INSERT_VALUES)); |
| 120 | } | ||
| 121 | |||
| 122 | /* assemble matrices */ | ||
| 123 |
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60 | for (i=0;i<NMAT;i++) PetscCall(MatAssemblyBegin(A[i],MAT_FINAL_ASSEMBLY)); |
| 124 |
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60 | for (i=0;i<NMAT;i++) PetscCall(MatAssemblyEnd(A[i],MAT_FINAL_ASSEMBLY)); |
| 125 | |||
| 126 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 127 | Create the eigensolver and solve the problem | ||
| 128 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 129 | |||
| 130 |
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10 | PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep)); |
| 131 |
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10 | PetscCall(PEPSetOptionsPrefix(pep,"check_")); |
| 132 |
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10 | PetscCall(PEPAppendOptionsPrefix(pep,"myprefix_")); |
| 133 |
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10 | PetscCall(PEPGetOptionsPrefix(pep,&prefix)); |
| 134 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"PEP prefix is currently: %s\n\n",prefix)); |
| 135 | |||
| 136 |
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10 | PetscCall(PEPSetOperators(pep,NMAT,A)); |
| 137 |
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10 | PetscCall(PEPSetEigenvalueComparison(pep,MyEigenSort,NULL)); |
| 138 |
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10 | PetscCall(PEPSetFromOptions(pep)); |
| 139 |
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10 | PetscCall(PEPSolve(pep)); |
| 140 | |||
| 141 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 142 | Display solution and clean up | ||
| 143 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 144 | |||
| 145 | /* show detailed info unless -terse option is given by user */ | ||
| 146 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
| 147 |
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10 | if (terse) PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL)); |
| 148 | else { | ||
| 149 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
| 150 | ✗ | PetscCall(PEPConvergedReasonView(pep,PETSC_VIEWER_STDOUT_WORLD)); | |
| 151 | ✗ | PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD)); | |
| 152 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
| 153 | } | ||
| 154 |
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10 | PetscCall(PEPDestroy(&pep)); |
| 155 |
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60 | for (i=0;i<NMAT;i++) PetscCall(MatDestroy(&A[i])); |
| 156 |
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10 | PetscCall(SlepcFinalize()); |
| 157 | return 0; | ||
| 158 | } | ||
| 159 | |||
| 160 | /*TEST | ||
| 161 | |||
| 162 | test: | ||
| 163 | args: -check_myprefix_pep_nev 4 -terse | ||
| 164 | requires: double | ||
| 165 | |||
| 166 | TEST*/ | ||
| 167 |