| 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[] = "Spectrum slicing on generalized symmetric eigenproblem.\n\n" | ||
| 12 | "The problem is similar to ex13.c.\n\n" | ||
| 13 | "The command line options are:\n" | ||
| 14 | " -n <n>, where <n> = number of grid subdivisions in x dimension.\n" | ||
| 15 | " -m <m>, where <m> = number of grid subdivisions in y dimension.\n"; | ||
| 16 | |||
| 17 | #include <slepceps.h> | ||
| 18 | |||
| 19 | 10 | int main(int argc,char **argv) | |
| 20 | { | ||
| 21 | 10 | Mat A,B; /* matrices */ | |
| 22 | 10 | EPS eps; /* eigenproblem solver context */ | |
| 23 | 10 | ST st; /* spectral transformation context */ | |
| 24 | 10 | KSP ksp; | |
| 25 | 10 | PC pc; | |
| 26 | 10 | EPSType type; | |
| 27 | 10 | PetscInt N,n=10,m,Istart,Iend,II,nev,i,j,*inertias,ns; | |
| 28 | 10 | PetscReal inta,intb,*shifts; | |
| 29 | 10 | PetscBool flag,show=PETSC_FALSE,terse; | |
| 30 | #if defined(PETSC_HAVE_MUMPS) && !defined(PETSC_USE_COMPLEX) | ||
| 31 | 2 | Mat F; | |
| 32 | #endif | ||
| 33 | |||
| 34 |
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10 | PetscFunctionBeginUser; |
| 35 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 36 | |||
| 37 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 38 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
| 39 |
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10 | PetscCall(PetscOptionsGetBool(NULL,NULL,"-show_inertias",&show,NULL)); |
| 40 |
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10 | if (!flag) m=n; |
| 41 | 10 | N = n*m; | |
| 42 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSpectrum slicing on GHEP, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
| 43 | |||
| 44 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 45 | Compute the matrices that define the eigensystem, Ax=kBx | ||
| 46 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 47 | |||
| 48 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 49 |
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10 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 50 |
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10 | PetscCall(MatSetFromOptions(A)); |
| 51 | |||
| 52 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
| 53 |
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10 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 54 |
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10 | PetscCall(MatSetFromOptions(B)); |
| 55 | |||
| 56 |
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10 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
| 57 |
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1010 | for (II=Istart;II<Iend;II++) { |
| 58 | 1000 | i = II/n; j = II-i*n; | |
| 59 |
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1000 | if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES)); |
| 60 |
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1000 | if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES)); |
| 61 |
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1000 | if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES)); |
| 62 |
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1000 | if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES)); |
| 63 |
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1000 | PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES)); |
| 64 |
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1000 | PetscCall(MatSetValue(B,II,II,4.0,INSERT_VALUES)); |
| 65 | } | ||
| 66 | |||
| 67 |
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10 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 68 |
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10 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 69 |
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10 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
| 70 |
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10 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
| 71 | |||
| 72 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 73 | Create the eigensolver and set various options | ||
| 74 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 75 | |||
| 76 | /* | ||
| 77 | Create eigensolver context | ||
| 78 | */ | ||
| 79 |
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10 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
| 80 | |||
| 81 | /* | ||
| 82 | Set operators and set problem type | ||
| 83 | */ | ||
| 84 |
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10 | PetscCall(EPSSetOperators(eps,A,B)); |
| 85 |
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10 | PetscCall(EPSSetProblemType(eps,EPS_GHEP)); |
| 86 | |||
| 87 | /* | ||
| 88 | Set interval for spectrum slicing | ||
| 89 | */ | ||
| 90 | 10 | inta = 0.1; | |
| 91 | 10 | intb = 0.2; | |
| 92 |
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10 | PetscCall(EPSSetInterval(eps,inta,intb)); |
| 93 |
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10 | PetscCall(EPSSetWhichEigenpairs(eps,EPS_ALL)); |
| 94 | |||
| 95 | /* | ||
| 96 | Spectrum slicing requires Krylov-Schur | ||
| 97 | */ | ||
| 98 |
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10 | PetscCall(EPSSetType(eps,EPSKRYLOVSCHUR)); |
| 99 | |||
| 100 | /* | ||
| 101 | Set shift-and-invert with Cholesky; select MUMPS if available | ||
| 102 | */ | ||
| 103 | |||
| 104 |
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10 | PetscCall(EPSGetST(eps,&st)); |
| 105 |
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10 | PetscCall(STSetType(st,STSINVERT)); |
| 106 |
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10 | PetscCall(EPSKrylovSchurGetKSP(eps,&ksp)); |
| 107 |
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10 | PetscCall(KSPSetType(ksp,KSPPREONLY)); |
| 108 |
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10 | PetscCall(KSPGetPC(ksp,&pc)); |
| 109 |
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10 | PetscCall(PCSetType(pc,PCCHOLESKY)); |
| 110 | |||
| 111 | /* | ||
| 112 | Use MUMPS if available. | ||
| 113 | Note that in complex scalars we cannot use MUMPS for spectrum slicing, | ||
| 114 | because MatGetInertia() is not available in that case. | ||
| 115 | */ | ||
| 116 | #if defined(PETSC_HAVE_MUMPS) && !defined(PETSC_USE_COMPLEX) | ||
| 117 |
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2 | PetscCall(EPSKrylovSchurSetDetectZeros(eps,PETSC_TRUE)); /* enforce zero detection */ |
| 118 |
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2 | PetscCall(PCFactorSetMatSolverType(pc,MATSOLVERMUMPS)); |
| 119 |
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2 | PetscCall(PCFactorSetUpMatSolverType(pc)); |
| 120 | /* | ||
| 121 | Set several MUMPS options, the corresponding command-line options are: | ||
| 122 | '-st_mat_mumps_icntl_13 1': turn off ScaLAPACK for matrix inertia | ||
| 123 | '-st_mat_mumps_icntl_24 1': detect null pivots in factorization (for the case that a shift is equal to an eigenvalue) | ||
| 124 | '-st_mat_mumps_cntl_3 <tol>': a tolerance used for null pivot detection (must be larger than machine epsilon) | ||
| 125 | |||
| 126 | Note: depending on the interval, it may be necessary also to increase the workspace: | ||
| 127 | '-st_mat_mumps_icntl_14 <percentage>': increase workspace with a percentage (50, 100 or more) | ||
| 128 | */ | ||
| 129 |
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2 | PetscCall(PCFactorGetMatrix(pc,&F)); |
| 130 |
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2 | PetscCall(MatMumpsSetIcntl(F,13,1)); |
| 131 |
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2 | PetscCall(MatMumpsSetIcntl(F,24,1)); |
| 132 |
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2 | PetscCall(MatMumpsSetCntl(F,3,1e-12)); |
| 133 | #endif | ||
| 134 | |||
| 135 | /* | ||
| 136 | Set solver parameters at runtime | ||
| 137 | */ | ||
| 138 |
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10 | PetscCall(EPSSetFromOptions(eps)); |
| 139 | |||
| 140 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 141 | Solve the eigensystem | ||
| 142 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 143 |
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10 | PetscCall(EPSSetUp(eps)); |
| 144 |
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10 | if (show) { |
| 145 |
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10 | PetscCall(EPSKrylovSchurGetInertias(eps,&ns,&shifts,&inertias)); |
| 146 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Subintervals (after setup):\n")); |
| 147 |
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30 | for (i=0;i<ns;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Shift %g Inertia %" PetscInt_FMT " \n",(double)shifts[i],inertias[i])); |
| 148 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n")); |
| 149 |
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10 | PetscCall(PetscFree(shifts)); |
| 150 |
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10 | PetscCall(PetscFree(inertias)); |
| 151 | } | ||
| 152 |
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10 | PetscCall(EPSSolve(eps)); |
| 153 |
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10 | if (show) { |
| 154 |
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10 | PetscCall(EPSKrylovSchurGetInertias(eps,&ns,&shifts,&inertias)); |
| 155 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"All shifts (after solve):\n")); |
| 156 |
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30 | for (i=0;i<ns;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Shift %g Inertia %" PetscInt_FMT " \n",(double)shifts[i],inertias[i])); |
| 157 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n")); |
| 158 |
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10 | PetscCall(PetscFree(shifts)); |
| 159 |
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10 | PetscCall(PetscFree(inertias)); |
| 160 | } | ||
| 161 | |||
| 162 | /* | ||
| 163 | Show eigenvalues in interval and print solution | ||
| 164 | */ | ||
| 165 |
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10 | PetscCall(EPSGetType(eps,&type)); |
| 166 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type)); |
| 167 |
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10 | PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL)); |
| 168 |
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10 | PetscCall(EPSGetInterval(eps,&inta,&intb)); |
| 169 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," %" PetscInt_FMT " eigenvalues found in [%g, %g]\n",nev,(double)inta,(double)intb)); |
| 170 | |||
| 171 | /* | ||
| 172 | Show detailed info unless -terse option is given by user | ||
| 173 | */ | ||
| 174 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
| 175 |
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10 | if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL)); |
| 176 | else { | ||
| 177 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
| 178 | ✗ | PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD)); | |
| 179 | ✗ | PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); | |
| 180 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
| 181 | } | ||
| 182 | |||
| 183 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 184 | Clean up | ||
| 185 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 186 |
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10 | PetscCall(EPSDestroy(&eps)); |
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10 | PetscCall(MatDestroy(&A)); |
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10 | PetscCall(MatDestroy(&B)); |
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10 | PetscCall(SlepcFinalize()); |
| 190 | return 0; | ||
| 191 | } | ||
| 192 | |||
| 193 | /*TEST | ||
| 194 | |||
| 195 | testset: | ||
| 196 | args: -terse -show_inertias | ||
| 197 | output_file: output/ex25_1.out | ||
| 198 | test: | ||
| 199 | suffix: 1 | ||
| 200 | requires: !mumps | ||
| 201 | test: | ||
| 202 | suffix: 1_mumps | ||
| 203 | requires: mumps !complex | ||
| 204 | |||
| 205 | TEST*/ | ||
| 206 |