| 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[] = "Lanczos SVD. Also illustrates the use of SVDSetBV().\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 | 30 | int main(int argc,char **argv) | |
| 31 | { | ||
| 32 | 30 | Mat A; | |
| 33 | 30 | SVD svd; | |
| 34 | 30 | PetscInt m=20,n,Istart,Iend,i,k=6,col[2]; | |
| 35 | 30 | PetscScalar value[] = { 1, 2 }; | |
| 36 | 30 | PetscBool flg,oneside=PETSC_FALSE; | |
| 37 | 30 | const char *prefix; | |
| 38 | 30 | BV U,V; | |
| 39 | 30 | Vec u,v; | |
| 40 | |||
| 41 |
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30 | PetscFunctionBeginUser; |
| 42 |
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30 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
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30 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
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30 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,&flg)); |
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30 | if (!flg) n=m+2; |
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30 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL)); |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nRectangular bidiagonal matrix, m=%" PetscInt_FMT " n=%" PetscInt_FMT "\n\n",m,n)); |
| 48 | |||
| 49 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 50 | Generate the matrix | ||
| 51 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 52 | |||
| 53 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 54 |
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30 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,m,n)); |
| 55 |
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30 | PetscCall(MatSetFromOptions(A)); |
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30 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
| 57 |
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650 | for (i=Istart;i<Iend;i++) { |
| 58 | 620 | col[0]=i; col[1]=i+1; | |
| 59 |
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620 | if (i<n-1) PetscCall(MatSetValues(A,1,&i,2,col,value,INSERT_VALUES)); |
| 60 |
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620 | else if (i==n-1) PetscCall(MatSetValue(A,i,col[0],value[0],INSERT_VALUES)); |
| 61 | } | ||
| 62 |
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30 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 63 |
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30 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 64 |
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30 | PetscCall(MatCreateVecs(A,&v,&u)); |
| 65 | |||
| 66 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 67 | Create standalone BV objects to illustrate use of SVDSetBV() | ||
| 68 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 69 | |||
| 70 |
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30 | PetscCall(BVCreate(PETSC_COMM_WORLD,&U)); |
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30 | PetscCall(PetscObjectSetName((PetscObject)U,"U")); |
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30 | PetscCall(BVSetSizesFromVec(U,u,k)); |
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30 | PetscCall(BVSetFromOptions(U)); |
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30 | PetscCall(BVCreate(PETSC_COMM_WORLD,&V)); |
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30 | PetscCall(PetscObjectSetName((PetscObject)V,"V")); |
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30 | PetscCall(BVSetSizesFromVec(V,v,k)); |
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30 | PetscCall(BVSetFromOptions(V)); |
| 78 | |||
| 79 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 80 | Compute singular values | ||
| 81 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 82 | |||
| 83 |
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30 | PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd)); |
| 84 |
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30 | PetscCall(SVDSetBV(svd,V,U)); |
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30 | PetscCall(SVDSetOptionsPrefix(svd,"check_")); |
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30 | PetscCall(SVDAppendOptionsPrefix(svd,"myprefix_")); |
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30 | PetscCall(SVDGetOptionsPrefix(svd,&prefix)); |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"SVD prefix is currently: %s\n\n",prefix)); |
| 89 |
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30 | PetscCall(PetscObjectSetName((PetscObject)svd,"SVD_solver")); |
| 90 | |||
| 91 |
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30 | PetscCall(SVDSetOperators(svd,A,NULL)); |
| 92 |
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30 | PetscCall(SVDSetType(svd,SVDLANCZOS)); |
| 93 |
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30 | PetscCall(SVDSetFromOptions(svd)); |
| 94 | |||
| 95 |
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30 | PetscCall(PetscObjectTypeCompare((PetscObject)svd,SVDLANCZOS,&flg)); |
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30 | if (flg) { |
| 97 |
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20 | PetscCall(SVDLanczosGetOneSide(svd,&oneside)); |
| 98 |
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40 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Running Lanczos %s\n\n",oneside?"(onesided)":"")); |
| 99 | } | ||
| 100 |
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30 | PetscCall(PetscObjectTypeCompare((PetscObject)svd,SVDTRLANCZOS,&flg)); |
| 101 |
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30 | if (flg) { |
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10 | PetscCall(SVDTRLanczosGetOneSide(svd,&oneside)); |
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20 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Running thick-restart Lanczos %s\n\n",oneside?"(onesided)":"")); |
| 104 | } | ||
| 105 | |||
| 106 |
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30 | PetscCall(SVDSolve(svd)); |
| 107 | |||
| 108 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 109 | Display solution and clean up | ||
| 110 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 111 |
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30 | PetscCall(SVDErrorView(svd,SVD_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); |
| 112 |
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30 | PetscCall(BVDestroy(&U)); |
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30 | PetscCall(BVDestroy(&V)); |
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30 | PetscCall(VecDestroy(&u)); |
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30 | PetscCall(VecDestroy(&v)); |
| 116 |
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30 | PetscCall(SVDDestroy(&svd)); |
| 117 |
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30 | PetscCall(MatDestroy(&A)); |
| 118 |
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30 | PetscCall(SlepcFinalize()); |
| 119 | return 0; | ||
| 120 | } | ||
| 121 | |||
| 122 | /*TEST | ||
| 123 | |||
| 124 | testset: | ||
| 125 | args: -check_myprefix_svd_nsv 3 | ||
| 126 | requires: double | ||
| 127 | test: | ||
| 128 | suffix: 1 | ||
| 129 | args: -check_myprefix_svd_view_vectors ::ascii_info | ||
| 130 | test: | ||
| 131 | suffix: 2 | ||
| 132 | args: -check_myprefix_svd_type trlanczos -check_myprefix_svd_monitor -check_myprefix_svd_view_values ::ascii_matlab | ||
| 133 | filter: sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g" | ||
| 134 | test: | ||
| 135 | suffix: 3 | ||
| 136 | args: -m 22 -n 20 | ||
| 137 | |||
| 138 | TEST*/ | ||
| 139 |