| 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 setting and getting the signature in HSVD.\n\n" | ||
| 12 | "Based on ex15.c. The command line options are:\n" | ||
| 13 | " -n <n>, where <n> = matrix dimension.\n" | ||
| 14 | " -mu <mu>, where <mu> = subdiagonal value.\n\n"; | ||
| 15 | |||
| 16 | #include <slepcsvd.h> | ||
| 17 | |||
| 18 | 10 | int main(int argc,char **argv) | |
| 19 | { | ||
| 20 | 10 | Mat A; /* operator matrix */ | |
| 21 | 10 | Vec omega,v; /* signature */ | |
| 22 | 10 | SVD svd; /* singular value problem solver context */ | |
| 23 | 10 | PetscReal mu=PETSC_SQRT_MACHINE_EPSILON; | |
| 24 | 10 | PetscInt n=50,i,j,Istart,Iend; | |
| 25 | |||
| 26 |
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10 | PetscFunctionBeginUser; |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 28 | |||
| 29 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
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10 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-mu",&mu,NULL)); |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nLauchli hyperbolic singular value decomposition, (%" PetscInt_FMT " x %" PetscInt_FMT ") mu=%g\n\n",n+1,n,(double)mu)); |
| 32 | |||
| 33 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 34 | Build Lauchli matrix and signature | ||
| 35 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 36 | |||
| 37 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 38 |
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10 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n+1,n)); |
| 39 |
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10 | PetscCall(MatSetFromOptions(A)); |
| 40 | |||
| 41 |
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10 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
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520 | for (i=Istart;i<Iend;i++) { |
| 43 |
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510 | if (i == 0) { |
| 44 |
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510 | for (j=0;j<n;j++) PetscCall(MatSetValue(A,0,j,1.0,INSERT_VALUES)); |
| 45 |
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510 | } else PetscCall(MatSetValue(A,i,i-1,mu,INSERT_VALUES)); |
| 46 | } | ||
| 47 |
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10 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 48 |
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10 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 49 | |||
| 50 | /* signature omega = [ -1 1 1 ... 1 ] */ | ||
| 51 |
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10 | PetscCall(MatCreateVecs(A,NULL,&omega)); |
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10 | PetscCall(VecSet(omega,1.0)); |
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10 | PetscCall(VecGetOwnershipRange(omega,&Istart,NULL)); |
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10 | if (Istart==0) PetscCall(VecSetValue(omega,0,-1.0,INSERT_VALUES)); |
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10 | PetscCall(VecAssemblyBegin(omega)); |
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10 | PetscCall(VecAssemblyEnd(omega)); |
| 57 | |||
| 58 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 59 | Create the singular value solver and set various options | ||
| 60 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 61 | |||
| 62 |
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10 | PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd)); |
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10 | PetscCall(SVDSetSignature(svd,omega)); |
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10 | PetscCall(SVDSetOperators(svd,A,NULL)); |
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10 | PetscCall(SVDSetType(svd,SVDTRLANCZOS)); |
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10 | PetscCall(SVDSetFromOptions(svd)); |
| 67 | |||
| 68 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 69 | Solve the problem and display solution | ||
| 70 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 71 | |||
| 72 |
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10 | PetscCall(SVDSolve(svd)); |
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10 | PetscCall(SVDErrorView(svd,SVD_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); |
| 74 | |||
| 75 | /* Test getting the signature */ | ||
| 76 |
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10 | PetscCall(MatCreateVecs(A,NULL,&v)); |
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10 | PetscCall(SVDGetSignature(svd,v)); |
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10 | PetscCall(VecView(v,NULL)); |
| 79 | |||
| 80 | /* Free work space */ | ||
| 81 |
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10 | PetscCall(SVDDestroy(&svd)); |
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10 | PetscCall(MatDestroy(&A)); |
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10 | PetscCall(VecDestroy(&omega)); |
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10 | PetscCall(VecDestroy(&v)); |
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10 | PetscCall(SlepcFinalize()); |
| 86 | return 0; | ||
| 87 | } | ||
| 88 | |||
| 89 | /*TEST | ||
| 90 | |||
| 91 | test: | ||
| 92 | requires: double | ||
| 93 | suffix: 1 | ||
| 94 | |||
| 95 | TEST*/ | ||
| 96 |