| 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 two-sided Krylov-Schur without calling EPSSetFromOptions (based on ex5.c).\n\n" | ||
| 12 | "The command line options are:\n" | ||
| 13 | " -m <m>, where <m> = number of grid subdivisions in each dimension.\n\n"; | ||
| 14 | |||
| 15 | #include <slepceps.h> | ||
| 16 | |||
| 17 | /* | ||
| 18 | User-defined routines | ||
| 19 | */ | ||
| 20 | PetscErrorCode MatMarkovModel(PetscInt m,Mat A); | ||
| 21 | |||
| 22 | 10 | int main(int argc,char **argv) | |
| 23 | { | ||
| 24 | 10 | Mat A; /* operator matrix */ | |
| 25 | 10 | EPS eps; /* eigenproblem solver context */ | |
| 26 | 10 | PetscReal tol=1000*PETSC_MACHINE_EPSILON; | |
| 27 | 10 | PetscInt N,m=15,nev; | |
| 28 | |||
| 29 |
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10 | PetscFunctionBeginUser; |
| 30 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 31 | |||
| 32 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
| 33 | 10 | N = m*(m+1)/2; | |
| 34 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMarkov Model, N=%" PetscInt_FMT " (m=%" PetscInt_FMT ")\n\n",N,m)); |
| 35 | |||
| 36 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 37 | Compute the operator matrix that defines the eigensystem, Ax=kx | ||
| 38 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 39 | |||
| 40 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 41 |
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10 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
| 42 |
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10 | PetscCall(MatSetFromOptions(A)); |
| 43 |
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10 | PetscCall(MatMarkovModel(m,A)); |
| 44 | |||
| 45 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 46 | Create the eigensolver and set various options | ||
| 47 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 48 | |||
| 49 |
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10 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
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10 | PetscCall(EPSSetOperators(eps,A,NULL)); |
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10 | PetscCall(EPSSetProblemType(eps,EPS_NHEP)); |
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10 | PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT)); |
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10 | PetscCall(EPSSetDimensions(eps,4,PETSC_DETERMINE,PETSC_DETERMINE)); |
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10 | PetscCall(EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL)); |
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10 | PetscCall(EPSSetTwoSided(eps,PETSC_TRUE)); |
| 56 | |||
| 57 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 58 | Solve the eigensystem | ||
| 59 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 60 | |||
| 61 |
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10 | PetscCall(EPSSolve(eps)); |
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10 | PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL)); |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev)); |
| 64 | |||
| 65 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 66 | Display solution and clean up | ||
| 67 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 68 | |||
| 69 |
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10 | PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL)); |
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10 | PetscCall(EPSDestroy(&eps)); |
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10 | PetscCall(MatDestroy(&A)); |
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10 | PetscCall(SlepcFinalize()); |
| 73 | return 0; | ||
| 74 | } | ||
| 75 | |||
| 76 | 10 | PetscErrorCode MatMarkovModel(PetscInt m,Mat A) | |
| 77 | { | ||
| 78 | 10 | const PetscReal cst = 0.5/(PetscReal)(m-1); | |
| 79 | 10 | PetscReal pd,pu; | |
| 80 | 10 | PetscInt Istart,Iend,i,j,jmax,ix=0; | |
| 81 | |||
| 82 |
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10 | PetscFunctionBeginUser; |
| 83 |
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10 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
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160 | for (i=1;i<=m;i++) { |
| 85 | 150 | jmax = m-i+1; | |
| 86 |
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1350 | for (j=1;j<=jmax;j++) { |
| 87 | 1200 | ix = ix + 1; | |
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1200 | if (ix-1<Istart || ix>Iend) continue; /* compute only owned rows */ |
| 89 |
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1200 | if (j!=jmax) { |
| 90 | 1050 | pd = cst*(PetscReal)(i+j-1); | |
| 91 | /* north */ | ||
| 92 |
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1050 | if (i==1) PetscCall(MatSetValue(A,ix-1,ix,2*pd,INSERT_VALUES)); |
| 93 |
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910 | else PetscCall(MatSetValue(A,ix-1,ix,pd,INSERT_VALUES)); |
| 94 | /* east */ | ||
| 95 |
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1050 | if (j==1) PetscCall(MatSetValue(A,ix-1,ix+jmax-1,2*pd,INSERT_VALUES)); |
| 96 |
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910 | else PetscCall(MatSetValue(A,ix-1,ix+jmax-1,pd,INSERT_VALUES)); |
| 97 | } | ||
| 98 | /* south */ | ||
| 99 | 1200 | pu = 0.5 - cst*(PetscReal)(i+j-3); | |
| 100 |
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1200 | if (j>1) PetscCall(MatSetValue(A,ix-1,ix-2,pu,INSERT_VALUES)); |
| 101 | /* west */ | ||
| 102 |
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1200 | if (i>1) PetscCall(MatSetValue(A,ix-1,ix-jmax-2,pu,INSERT_VALUES)); |
| 103 | } | ||
| 104 | } | ||
| 105 |
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10 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 106 |
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10 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 108 | } | ||
| 109 | |||
| 110 | /*TEST | ||
| 111 | |||
| 112 | test: | ||
| 113 | requires: !single | ||
| 114 | |||
| 115 | TEST*/ | ||
| 116 |