| 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 DSGHEP.\n\n"; | ||
| 12 | |||
| 13 | #include <slepcds.h> | ||
| 14 | |||
| 15 | /* | ||
| 16 | Compute the norm of the j-th column of matrix mat in ds | ||
| 17 | */ | ||
| 18 | 10 | PetscErrorCode ComputeNorm(DS ds,DSMatType mat,PetscInt j,PetscReal *onrm) | |
| 19 | { | ||
| 20 | 10 | PetscScalar *X; | |
| 21 | 10 | PetscReal aux,nrm=0.0; | |
| 22 | 10 | PetscInt i,n,ld; | |
| 23 | |||
| 24 |
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10 | PetscFunctionBeginUser; |
| 25 |
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10 | PetscCall(DSGetLeadingDimension(ds,&ld)); |
| 26 |
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10 | PetscCall(DSGetDimensions(ds,&n,NULL,NULL,NULL)); |
| 27 |
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10 | PetscCall(DSGetArray(ds,mat,&X)); |
| 28 |
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110 | for (i=0;i<n;i++) { |
| 29 | 100 | aux = PetscAbsScalar(X[i+j*ld]); | |
| 30 | 100 | nrm += aux*aux; | |
| 31 | } | ||
| 32 |
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10 | PetscCall(DSRestoreArray(ds,mat,&X)); |
| 33 | 10 | *onrm = PetscSqrtReal(nrm); | |
| 34 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 35 | } | ||
| 36 | |||
| 37 | 10 | int main(int argc,char **argv) | |
| 38 | { | ||
| 39 | 10 | DS ds; | |
| 40 | 10 | SlepcSC sc; | |
| 41 | 10 | PetscReal re; | |
| 42 | 10 | PetscScalar *A,*B,*eig; | |
| 43 | 10 | PetscReal nrm; | |
| 44 | 10 | PetscInt i,j,n=10,ld; | |
| 45 | 10 | PetscViewer viewer; | |
| 46 | 10 | PetscBool verbose; | |
| 47 | |||
| 48 |
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10 | PetscFunctionBeginUser; |
| 49 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 50 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 51 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a System of type GHEP - dimension %" PetscInt_FMT ".\n",n)); |
| 52 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
| 53 | |||
| 54 | /* Create DS object */ | ||
| 55 |
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10 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
| 56 |
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10 | PetscCall(DSSetType(ds,DSGHEP)); |
| 57 |
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10 | PetscCall(DSSetFromOptions(ds)); |
| 58 | 10 | ld = n+2; /* test leading dimension larger than n */ | |
| 59 |
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10 | PetscCall(DSAllocate(ds,ld)); |
| 60 |
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10 | PetscCall(DSSetDimensions(ds,n,0,0)); |
| 61 | |||
| 62 | /* Set up viewer */ | ||
| 63 |
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10 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
| 64 |
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10 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
| 65 |
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10 | PetscCall(DSView(ds,viewer)); |
| 66 |
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10 | PetscCall(PetscViewerPopFormat(viewer)); |
| 67 |
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10 | if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); |
| 68 | |||
| 69 | /* Fill with a symmetric Toeplitz matrix */ | ||
| 70 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
| 71 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_B,&B)); |
| 72 |
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110 | for (i=0;i<n;i++) A[i+i*ld]=2.0; |
| 73 |
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30 | for (j=1;j<3;j++) { |
| 74 |
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190 | for (i=0;i<n-j;i++) { A[i+(i+j)*ld]=1.0; A[(i+j)+i*ld]=1.0; } |
| 75 | } | ||
| 76 |
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30 | for (j=1;j<3;j++) { A[0+j*ld]=-1.0*(j+2); A[j+0*ld]=-1.0*(j+2); } |
| 77 | /* Diagonal matrix */ | ||
| 78 |
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110 | for (i=0;i<n;i++) B[i+i*ld]=0.1*(i+1); |
| 79 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
| 80 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_B,&B)); |
| 81 |
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10 | PetscCall(DSSetState(ds,DS_STATE_RAW)); |
| 82 |
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10 | if (verbose) { |
| 83 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
| 84 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 85 | } | ||
| 86 | |||
| 87 | /* Solve */ | ||
| 88 |
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10 | PetscCall(PetscMalloc1(n,&eig)); |
| 89 |
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10 | PetscCall(PetscNew(&sc)); |
| 90 | 10 | sc->comparison = SlepcCompareLargestMagnitude; | |
| 91 | 10 | sc->comparisonctx = NULL; | |
| 92 | 10 | sc->map = NULL; | |
| 93 | 10 | sc->mapobj = NULL; | |
| 94 |
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10 | PetscCall(DSSetSlepcSC(ds,sc)); |
| 95 |
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10 | PetscCall(DSSolve(ds,eig,NULL)); |
| 96 |
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10 | PetscCall(DSSort(ds,eig,NULL,NULL,NULL,NULL)); |
| 97 |
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10 | if (verbose) { |
| 98 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
| 99 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 100 | } | ||
| 101 | |||
| 102 | /* Print eigenvalues */ | ||
| 103 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n")); |
| 104 |
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110 | for (i=0;i<n;i++) { |
| 105 | 100 | re = PetscRealPart(eig[i]); | |
| 106 |
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100 | PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)re)); |
| 107 | } | ||
| 108 | |||
| 109 | /* Eigenvectors */ | ||
| 110 | 10 | j = 0; | |
| 111 |
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10 | PetscCall(DSVectors(ds,DS_MAT_X,&j,NULL)); /* all eigenvectors */ |
| 112 |
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10 | PetscCall(ComputeNorm(ds,DS_MAT_X,0,&nrm)); |
| 113 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st vector = %.3f\n",(double)nrm)); |
| 114 |
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10 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all eigenvectors */ |
| 115 |
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10 | if (verbose) { |
| 116 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n")); | |
| 117 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 118 | } | ||
| 119 | |||
| 120 |
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10 | PetscCall(PetscFree(eig)); |
| 121 |
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10 | PetscCall(PetscFree(sc)); |
| 122 |
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10 | PetscCall(DSDestroy(&ds)); |
| 123 |
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10 | PetscCall(SlepcFinalize()); |
| 124 | return 0; | ||
| 125 | } | ||
| 126 | |||
| 127 | /*TEST | ||
| 128 | |||
| 129 | test: | ||
| 130 | suffix: 1 | ||
| 131 | requires: !single | ||
| 132 | |||
| 133 | TEST*/ | ||
| 134 |