| 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[] = "SVD via the cyclic matrix with a user-provided EPS.\n\n" | ||
| 12 | "The command line options are:\n" | ||
| 13 | " -m <m>, where <m> = matrix rows.\n" | ||
| 14 | " -n <n>, where <n> = matrix columns (defaults to m+2).\n\n"; | ||
| 15 | |||
| 16 | #include <slepcsvd.h> | ||
| 17 | |||
| 18 | /* | ||
| 19 | This example computes the singular values of a rectangular bidiagonal matrix | ||
| 20 | |||
| 21 | | 1 2 | | ||
| 22 | | 1 2 | | ||
| 23 | | 1 2 | | ||
| 24 | A = | . . | | ||
| 25 | | . . | | ||
| 26 | | 1 2 | | ||
| 27 | | 1 2 | | ||
| 28 | */ | ||
| 29 | |||
| 30 | 14 | int main(int argc,char **argv) | |
| 31 | { | ||
| 32 | 14 | Mat A; | |
| 33 | 14 | SVD svd; | |
| 34 | 14 | EPS eps; | |
| 35 | 14 | ST st; | |
| 36 | 14 | KSP ksp; | |
| 37 | 14 | PC pc; | |
| 38 | 14 | PetscInt m=20,n,Istart,Iend,i,col[2]; | |
| 39 | 14 | PetscScalar value[] = { 1, 2 }; | |
| 40 | 14 | PetscBool flg,expmat; | |
| 41 | |||
| 42 |
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14 | PetscFunctionBeginUser; |
| 43 |
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14 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 44 | |||
| 45 |
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14 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
| 46 |
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14 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,&flg)); |
| 47 |
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14 | if (!flg) n=m+2; |
| 48 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nRectangular bidiagonal matrix, m=%" PetscInt_FMT " n=%" PetscInt_FMT "\n\n",m,n)); |
| 49 | |||
| 50 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 51 | Generate the matrix | ||
| 52 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 53 | |||
| 54 |
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14 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 55 |
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14 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,m,n)); |
| 56 |
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14 | PetscCall(MatSetFromOptions(A)); |
| 57 |
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14 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
| 58 |
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294 | for (i=Istart;i<Iend;i++) { |
| 59 | 280 | col[0]=i; col[1]=i+1; | |
| 60 |
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280 | if (i<n-1) PetscCall(MatSetValues(A,1,&i,2,col,value,INSERT_VALUES)); |
| 61 |
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280 | else if (i==n-1) PetscCall(MatSetValue(A,i,col[0],value[0],INSERT_VALUES)); |
| 62 | } | ||
| 63 |
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14 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 64 |
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14 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 65 | |||
| 66 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 67 | Create a standalone EPS with appropriate settings | ||
| 68 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 69 | |||
| 70 |
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14 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
| 71 |
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14 | PetscCall(EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE)); |
| 72 |
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14 | PetscCall(EPSSetTarget(eps,1.0)); |
| 73 |
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14 | PetscCall(EPSGetST(eps,&st)); |
| 74 |
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14 | PetscCall(STSetType(st,STSINVERT)); |
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14 | PetscCall(STSetShift(st,1.01)); |
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14 | PetscCall(STGetKSP(st,&ksp)); |
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14 | PetscCall(KSPSetType(ksp,KSPPREONLY)); |
| 78 |
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14 | PetscCall(KSPGetPC(ksp,&pc)); |
| 79 |
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14 | PetscCall(PCSetType(pc,PCLU)); |
| 80 |
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14 | PetscCall(EPSSetFromOptions(eps)); |
| 81 | |||
| 82 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 83 | Compute singular values | ||
| 84 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 85 | |||
| 86 |
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14 | PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd)); |
| 87 |
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14 | PetscCall(SVDSetOperators(svd,A,NULL)); |
| 88 |
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14 | PetscCall(SVDSetType(svd,SVDCYCLIC)); |
| 89 |
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14 | PetscCall(SVDCyclicSetEPS(svd,eps)); |
| 90 |
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14 | PetscCall(SVDCyclicSetExplicitMatrix(svd,PETSC_TRUE)); |
| 91 |
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14 | PetscCall(SVDSetWhichSingularTriplets(svd,SVD_SMALLEST)); |
| 92 |
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14 | PetscCall(SVDSetFromOptions(svd)); |
| 93 |
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14 | PetscCall(PetscObjectTypeCompare((PetscObject)svd,SVDCYCLIC,&flg)); |
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14 | if (flg) { |
| 95 |
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14 | PetscCall(SVDCyclicGetExplicitMatrix(svd,&expmat)); |
| 96 |
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14 | if (expmat) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using explicit matrix with cyclic solver\n")); |
| 97 | } | ||
| 98 |
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14 | PetscCall(SVDSolve(svd)); |
| 99 | |||
| 100 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 101 | Display solution and clean up | ||
| 102 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 103 |
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14 | PetscCall(SVDErrorView(svd,SVD_ERROR_ABSOLUTE,PETSC_VIEWER_STDOUT_WORLD)); |
| 104 |
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14 | PetscCall(SVDDestroy(&svd)); |
| 105 |
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14 | PetscCall(EPSDestroy(&eps)); |
| 106 |
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14 | PetscCall(MatDestroy(&A)); |
| 107 |
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14 | PetscCall(SlepcFinalize()); |
| 108 | return 0; | ||
| 109 | } | ||
| 110 | |||
| 111 | /*TEST | ||
| 112 | |||
| 113 | test: | ||
| 114 | suffix: 1 | ||
| 115 | args: -log_exclude svd | ||
| 116 | |||
| 117 | testset: | ||
| 118 | args: -log_exclude svd | ||
| 119 | output_file: output/test7_1.out | ||
| 120 | test: | ||
| 121 | suffix: 2_cuda | ||
| 122 | args: -mat_type aijcusparse | ||
| 123 | requires: cuda | ||
| 124 | test: | ||
| 125 | suffix: 2_hip | ||
| 126 | args: -mat_type aijhipsparse | ||
| 127 | requires: hip | ||
| 128 | |||
| 129 | TEST*/ | ||
| 130 |