| 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[] = "Test DSHEP.\n\n"; | ||
| 12 | |||
| 13 | #include <slepcds.h> | ||
| 14 | |||
| 15 | 60 | int main(int argc,char **argv) | |
| 16 | { | ||
| 17 | 60 | DS ds; | |
| 18 | 60 | SlepcSC sc; | |
| 19 | 60 | PetscScalar *A,*X,*Q,*eig,d; | |
| 20 | 60 | PetscReal rnorm,aux; | |
| 21 | 60 | PetscInt i,j,n=10,ld; | |
| 22 | 60 | PetscViewer viewer; | |
| 23 | 60 | PetscBool verbose,extrarow; | |
| 24 | |||
| 25 |
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60 | PetscFunctionBeginUser; |
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60 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
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60 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
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60 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type HEP - dimension %" PetscInt_FMT ".\n",n)); |
| 29 |
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60 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
| 30 |
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60 | PetscCall(PetscOptionsHasName(NULL,NULL,"-extrarow",&extrarow)); |
| 31 | |||
| 32 | /* Create DS object */ | ||
| 33 |
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60 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
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60 | PetscCall(DSSetType(ds,DSHEP)); |
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60 | PetscCall(DSSetFromOptions(ds)); |
| 36 | 60 | ld = n+2; /* test leading dimension larger than n */ | |
| 37 |
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60 | PetscCall(DSAllocate(ds,ld)); |
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60 | PetscCall(DSSetDimensions(ds,n,0,0)); |
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60 | PetscCall(DSSetExtraRow(ds,extrarow)); |
| 40 | |||
| 41 | /* Set up viewer */ | ||
| 42 |
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60 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
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60 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
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60 | PetscCall(DSView(ds,viewer)); |
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60 | PetscCall(PetscViewerPopFormat(viewer)); |
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60 | if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); |
| 47 | |||
| 48 | /* Fill with a symmetric Toeplitz matrix */ | ||
| 49 |
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60 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
| 50 |
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780 | for (i=0;i<n;i++) A[i+i*ld]=2.0; |
| 51 |
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180 | for (j=1;j<3;j++) { |
| 52 |
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1380 | for (i=0;i<n-j;i++) { A[i+(i+j)*ld]=1.0; A[(i+j)+i*ld]=1.0; } |
| 53 | } | ||
| 54 |
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60 | if (extrarow) { A[n+(n-2)*ld]=1.0; A[n+(n-1)*ld]=1.0; } |
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60 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
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60 | PetscCall(DSSetState(ds,DS_STATE_RAW)); |
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60 | if (verbose) { |
| 58 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
| 59 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 60 | } | ||
| 61 | |||
| 62 | /* Solve */ | ||
| 63 |
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60 | PetscCall(PetscMalloc1(n,&eig)); |
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60 | PetscCall(DSGetSlepcSC(ds,&sc)); |
| 65 | 60 | sc->comparison = SlepcCompareLargestMagnitude; | |
| 66 | 60 | sc->comparisonctx = NULL; | |
| 67 | 60 | sc->map = NULL; | |
| 68 | 60 | sc->mapobj = NULL; | |
| 69 |
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60 | PetscCall(DSSolve(ds,eig,NULL)); |
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60 | PetscCall(DSSort(ds,eig,NULL,NULL,NULL,NULL)); |
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60 | if (extrarow) PetscCall(DSUpdateExtraRow(ds)); |
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60 | if (verbose) { |
| 73 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
| 74 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 75 | } | ||
| 76 | |||
| 77 | /* Print eigenvalues */ | ||
| 78 |
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60 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n")); |
| 79 |
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780 | for (i=0;i<n;i++) PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)PetscRealPart(eig[i]))); |
| 80 | |||
| 81 |
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60 | if (extrarow) { |
| 82 | /* Check that extra row is correct */ | ||
| 83 |
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30 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
| 84 |
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30 | PetscCall(DSGetArray(ds,DS_MAT_Q,&Q)); |
| 85 | d = 0.0; | ||
| 86 |
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390 | for (i=0;i<n;i++) d += A[n+i*ld]-Q[n-2+i*ld]-Q[n-1+i*ld]; |
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30 | if (PetscAbsScalar(d)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: there is a mismatch in the extra row of %g\n",(double)PetscAbsScalar(d))); |
| 88 |
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30 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
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30 | PetscCall(DSRestoreArray(ds,DS_MAT_Q,&Q)); |
| 90 | } | ||
| 91 | |||
| 92 | /* Eigenvectors */ | ||
| 93 | 60 | j = 2; | |
| 94 |
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60 | PetscCall(DSVectors(ds,DS_MAT_X,&j,&rnorm)); /* third eigenvector */ |
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60 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Value of rnorm for 3rd vector = %.3f\n",(double)rnorm)); |
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60 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all eigenvectors */ |
| 97 | 60 | j = 0; | |
| 98 | 60 | rnorm = 0.0; | |
| 99 |
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60 | PetscCall(DSGetArray(ds,DS_MAT_X,&X)); |
| 100 |
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780 | for (i=0;i<n;i++) { |
| 101 | 720 | aux = PetscAbsScalar(X[i+j*ld]); | |
| 102 | 720 | rnorm += aux*aux; | |
| 103 | } | ||
| 104 |
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60 | PetscCall(DSRestoreArray(ds,DS_MAT_X,&X)); |
| 105 | 60 | rnorm = PetscSqrtReal(rnorm); | |
| 106 |
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60 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st vector = %.3f\n",(double)rnorm)); |
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60 | if (verbose) { |
| 108 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n")); | |
| 109 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 110 | } | ||
| 111 | |||
| 112 |
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60 | PetscCall(PetscFree(eig)); |
| 113 |
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60 | PetscCall(DSDestroy(&ds)); |
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60 | PetscCall(SlepcFinalize()); |
| 115 | return 0; | ||
| 116 | } | ||
| 117 | |||
| 118 | /*TEST | ||
| 119 | |||
| 120 | testset: | ||
| 121 | args: -n 12 -ds_method {{0 1 2}} | ||
| 122 | filter: grep -v "solving the problem" | sed -e "s/extrarow//" | ||
| 123 | output_file: output/test2_1.out | ||
| 124 | requires: !single | ||
| 125 | test: | ||
| 126 | suffix: 1 | ||
| 127 | test: | ||
| 128 | suffix: 2 | ||
| 129 | args: -extrarow | ||
| 130 | |||
| 131 | TEST*/ | ||
| 132 |