| 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 changing MFN type.\n\n"; | ||
| 12 | |||
| 13 | #include <slepcmfn.h> | ||
| 14 | |||
| 15 | 10 | int main(int argc,char **argv) | |
| 16 | { | ||
| 17 | 10 | Mat A; /* problem matrix */ | |
| 18 | 10 | MFN mfn; | |
| 19 | 10 | FN f; | |
| 20 | 10 | PetscReal norm; | |
| 21 | 10 | PetscScalar t=0.3; | |
| 22 | 10 | PetscInt N,n=25,m,Istart,Iend,II,i,j; | |
| 23 | 10 | PetscBool flag; | |
| 24 | 10 | Vec v,y; | |
| 25 | |||
| 26 |
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10 | PetscFunctionBeginUser; |
| 27 |
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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)); |
| 30 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
| 31 |
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10 | if (!flag) m=n; |
| 32 | 10 | N = n*m; | |
| 33 |
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10 | PetscCall(PetscOptionsGetScalar(NULL,NULL,"-t",&t,NULL)); |
| 34 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMatrix exponential y=exp(t*A)*e, of the 2-D Laplacian, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
| 35 | |||
| 36 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 37 | Build the 2-D Laplacian | ||
| 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 | |||
| 44 |
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10 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
| 45 |
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6260 | for (II=Istart;II<Iend;II++) { |
| 46 | 6250 | i = II/n; j = II-i*n; | |
| 47 |
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6250 | if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES)); |
| 48 |
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6250 | if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES)); |
| 49 |
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6250 | if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES)); |
| 50 |
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6250 | if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES)); |
| 51 |
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6250 | PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES)); |
| 52 | } | ||
| 53 | |||
| 54 |
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10 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 55 |
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10 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 56 | |||
| 57 | /* set v = ones(n,1) */ | ||
| 58 |
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10 | PetscCall(MatCreateVecs(A,&v,&y)); |
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10 | PetscCall(VecSet(v,1.0)); |
| 60 | |||
| 61 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 62 | Create the solver and set various options | ||
| 63 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 64 | |||
| 65 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f)); |
| 66 |
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10 | PetscCall(FNSetType(f,FNEXP)); |
| 67 | |||
| 68 |
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10 | PetscCall(MFNCreate(PETSC_COMM_WORLD,&mfn)); |
| 69 |
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10 | PetscCall(MFNSetOperator(mfn,A)); |
| 70 |
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10 | PetscCall(MFNSetType(mfn,MFNEXPOKIT)); |
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10 | PetscCall(MFNSetDimensions(mfn,24)); |
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10 | PetscCall(MFNSetTolerances(mfn,1e-5,1000)); |
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10 | PetscCall(MFNSetFN(mfn,f)); |
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10 | PetscCall(MFNSetErrorIfNotConverged(mfn,PETSC_TRUE)); |
| 75 |
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10 | PetscCall(MFNSetFromOptions(mfn)); |
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10 | PetscCall(MFNView(mfn,NULL)); |
| 77 | |||
| 78 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 79 | Change MFN type and solve the problem, y=exp(t*A)*v | ||
| 80 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 81 | |||
| 82 |
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10 | PetscCall(MFNSetType(mfn,MFNKRYLOV)); |
| 83 |
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10 | PetscCall(FNSetScale(f,t,1.0)); |
| 84 |
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10 | PetscCall(MFNSolve(mfn,v,y)); |
| 85 |
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10 | PetscCall(VecNorm(y,NORM_2,&norm)); |
| 86 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Computed vector at time t=%.4g has norm %g\n\n",(double)PetscRealPart(t),(double)norm)); |
| 87 | |||
| 88 | /* | ||
| 89 | Free work space | ||
| 90 | */ | ||
| 91 |
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10 | PetscCall(MFNDestroy(&mfn)); |
| 92 |
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10 | PetscCall(FNDestroy(&f)); |
| 93 |
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10 | PetscCall(MatDestroy(&A)); |
| 94 |
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10 | PetscCall(VecDestroy(&v)); |
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10 | PetscCall(VecDestroy(&y)); |
| 96 |
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10 | PetscCall(SlepcFinalize()); |
| 97 | return 0; | ||
| 98 | } | ||
| 99 | |||
| 100 | /*TEST | ||
| 101 | |||
| 102 | test: | ||
| 103 | |||
| 104 | TEST*/ | ||
| 105 |