| 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 GSVD with user-provided initial vectors.\n\n" | ||
| 12 | "The command line options are:\n" | ||
| 13 | " -m <m>, where <m> = number of rows of A.\n" | ||
| 14 | " -n <n>, where <n> = number of columns of A.\n" | ||
| 15 | " -p <p>, where <p> = number of rows of B.\n\n"; | ||
| 16 | |||
| 17 | #include <slepcsvd.h> | ||
| 18 | |||
| 19 | /* | ||
| 20 | This example solves a GSVD problem for the bidiagonal matrices | ||
| 21 | |||
| 22 | | 1 2 | | 2 | | ||
| 23 | | 1 2 | | -1 2 | | ||
| 24 | | 1 2 | | -1 2 | | ||
| 25 | A = | . . | B = | . . | | ||
| 26 | | . . | | . . | | ||
| 27 | | 1 2 | | -1 2 | | ||
| 28 | | 1 2 | | -1 2 | | ||
| 29 | */ | ||
| 30 | |||
| 31 | 70 | int main(int argc,char **argv) | |
| 32 | { | ||
| 33 | 70 | Mat A,B; | |
| 34 | 70 | SVD svd; | |
| 35 | 70 | Vec v0,w0; /* initial vectors */ | |
| 36 | 70 | VecType vtype; | |
| 37 | 70 | PetscInt m=22,n=20,p=22,Istart,Iend,i,col[2]; | |
| 38 | 70 | PetscScalar valsa[] = { 1, 2 }, valsb[] = { -1, 2 }; | |
| 39 | |||
| 40 |
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70 | PetscFunctionBeginUser; |
| 41 |
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70 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 42 |
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70 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
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70 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
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70 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-p",&p,NULL)); |
| 45 |
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70 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized singular value decomposition, (%" PetscInt_FMT "+%" PetscInt_FMT ")x%" PetscInt_FMT "\n\n",m,p,n)); |
| 46 | |||
| 47 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 48 | Generate the matrices | ||
| 49 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 50 | |||
| 51 |
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70 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 52 |
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70 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,m,n)); |
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70 | PetscCall(MatSetFromOptions(A)); |
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70 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
| 55 |
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1610 | for (i=Istart;i<Iend;i++) { |
| 56 | 1540 | col[0]=i; col[1]=i+1; | |
| 57 |
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1540 | if (i<n-1) PetscCall(MatSetValues(A,1,&i,2,col,valsa,INSERT_VALUES)); |
| 58 |
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1540 | else if (i==n-1) PetscCall(MatSetValue(A,i,col[0],valsa[0],INSERT_VALUES)); |
| 59 | } | ||
| 60 |
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70 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 61 |
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70 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 62 | |||
| 63 |
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70 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
| 64 |
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70 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,m,n)); |
| 65 |
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70 | PetscCall(MatSetFromOptions(B)); |
| 66 |
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70 | PetscCall(MatGetOwnershipRange(B,&Istart,&Iend)); |
| 67 |
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1610 | for (i=Istart;i<Iend;i++) { |
| 68 | 1540 | col[0]=i-1; col[1]=i; | |
| 69 |
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1540 | if (i==0) PetscCall(MatSetValue(B,i,col[1],valsb[1],INSERT_VALUES)); |
| 70 |
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1470 | else if (i<n) PetscCall(MatSetValues(B,1,&i,2,col,valsb,INSERT_VALUES)); |
| 71 |
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1540 | else if (i==n) PetscCall(MatSetValue(B,i,col[0],valsb[0],INSERT_VALUES)); |
| 72 | } | ||
| 73 |
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70 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
| 74 |
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70 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
| 75 | |||
| 76 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 77 | Create the singular value solver, set options and solve | ||
| 78 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 79 | |||
| 80 |
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70 | PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd)); |
| 81 |
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70 | PetscCall(SVDSetOperators(svd,A,B)); |
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70 | PetscCall(SVDSetFromOptions(svd)); |
| 83 | |||
| 84 | /* | ||
| 85 | Set the initial vectors. This is optional, if not done the initial | ||
| 86 | vectors are set to random values | ||
| 87 | */ | ||
| 88 |
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70 | PetscCall(MatCreateVecs(A,&v0,NULL)); /* right initial vector, length n */ |
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70 | PetscCall(VecCreate(PETSC_COMM_WORLD,&w0)); /* left initial vector, length m+p */ |
| 90 |
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70 | PetscCall(VecSetSizes(w0,PETSC_DECIDE,m+p)); |
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70 | PetscCall(VecGetType(v0,&vtype)); |
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70 | PetscCall(VecSetType(w0,vtype)); |
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70 | PetscCall(VecSet(v0,1.0)); |
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70 | PetscCall(VecSet(w0,1.0)); |
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70 | PetscCall(SVDSetInitialSpaces(svd,1,&v0,1,&w0)); |
| 96 | |||
| 97 | /* | ||
| 98 | Compute solution | ||
| 99 | */ | ||
| 100 |
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70 | PetscCall(SVDSolve(svd)); |
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70 | PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,NULL)); |
| 102 | |||
| 103 | /* Free work space */ | ||
| 104 |
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70 | PetscCall(VecDestroy(&v0)); |
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70 | PetscCall(VecDestroy(&w0)); |
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70 | PetscCall(SVDDestroy(&svd)); |
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70 | PetscCall(MatDestroy(&A)); |
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70 | PetscCall(MatDestroy(&B)); |
| 109 |
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70 | PetscCall(SlepcFinalize()); |
| 110 | return 0; | ||
| 111 | } | ||
| 112 | |||
| 113 | /*TEST | ||
| 114 | |||
| 115 | testset: | ||
| 116 | args: -svd_nsv 3 | ||
| 117 | requires: !single | ||
| 118 | output_file: output/test18_1.out | ||
| 119 | test: | ||
| 120 | suffix: 1 | ||
| 121 | args: -svd_type {{lapack cross cyclic}} | ||
| 122 | test: | ||
| 123 | suffix: 1_trlanczos | ||
| 124 | args: -svd_type trlanczos -svd_trlanczos_gbidiag {{single upper lower}} | ||
| 125 | requires: !__float128 | ||
| 126 | |||
| 127 | test: | ||
| 128 | suffix: 2 | ||
| 129 | args: -svd_nsv 3 -svd_type trlanczos -svd_monitor_conditioning | ||
| 130 | requires: double | ||
| 131 | |||
| 132 | TEST*/ | ||
| 133 |