| 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[] = "Computes exp(t*A)*v for a matrix loaded from file.\n\n" | ||
| 12 | "The command line options are:\n" | ||
| 13 | " -t <sval>, where <sval> = scalar value that multiplies the argument.\n" | ||
| 14 | " -file <filename>, where <filename> = matrix file in PETSc binary form.\n\n"; | ||
| 15 | |||
| 16 | #include <slepcmfn.h> | ||
| 17 | |||
| 18 | 12 | int main(int argc,char **argv) | |
| 19 | { | ||
| 20 | 12 | Mat A; /* problem matrix */ | |
| 21 | 12 | MFN mfn; | |
| 22 | 12 | FN f; | |
| 23 | 12 | PetscReal norm; | |
| 24 | 12 | PetscScalar t=2.0; | |
| 25 | 12 | Vec v,y; | |
| 26 | 12 | PetscViewer viewer; | |
| 27 | 12 | PetscBool flg; | |
| 28 | 12 | char filename[PETSC_MAX_PATH_LEN]; | |
| 29 | 12 | MFNConvergedReason reason; | |
| 30 | |||
| 31 |
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12 | PetscFunctionBeginUser; |
| 32 |
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12 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 33 | |||
| 34 |
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12 | PetscCall(PetscOptionsGetScalar(NULL,NULL,"-t",&t,NULL)); |
| 35 |
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12 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMatrix exponential y=exp(t*A)*e, loaded from file\n\n")); |
| 36 | |||
| 37 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 38 | Load matrix A from binary file | ||
| 39 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 40 | |||
| 41 |
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12 | PetscCall(PetscOptionsGetString(NULL,NULL,"-file",filename,sizeof(filename),&flg)); |
| 42 |
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12 | PetscCheck(flg,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Must indicate a file name with the -file option"); |
| 43 | |||
| 44 | #if defined(PETSC_USE_COMPLEX) | ||
| 45 |
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6 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Reading COMPLEX matrix from a binary file...\n")); |
| 46 | #else | ||
| 47 |
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6 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Reading REAL matrix from a binary file...\n")); |
| 48 | #endif | ||
| 49 |
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12 | PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer)); |
| 50 |
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12 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 51 |
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12 | PetscCall(MatSetFromOptions(A)); |
| 52 |
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12 | PetscCall(MatLoad(A,viewer)); |
| 53 |
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12 | PetscCall(PetscViewerDestroy(&viewer)); |
| 54 | |||
| 55 | /* set v = ones(n,1) */ | ||
| 56 |
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12 | PetscCall(MatCreateVecs(A,&v,&y)); |
| 57 |
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12 | PetscCall(VecSet(v,1.0)); |
| 58 | |||
| 59 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 60 | Create the solver and set various options | ||
| 61 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 62 | |||
| 63 |
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12 | PetscCall(MFNCreate(PETSC_COMM_WORLD,&mfn)); |
| 64 |
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12 | PetscCall(MFNSetOperator(mfn,A)); |
| 65 |
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12 | PetscCall(MFNGetFN(mfn,&f)); |
| 66 |
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12 | PetscCall(FNSetType(f,FNEXP)); |
| 67 |
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12 | PetscCall(FNSetScale(f,t,1.0)); |
| 68 |
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12 | PetscCall(MFNSetFromOptions(mfn)); |
| 69 | |||
| 70 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 71 | Solve the problem, y=exp(t*A)*v | ||
| 72 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 73 | |||
| 74 |
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12 | PetscCall(MFNSolve(mfn,v,y)); |
| 75 |
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12 | PetscCall(MFNGetConvergedReason(mfn,&reason)); |
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12 | PetscCheck(reason>=0,PETSC_COMM_WORLD,PETSC_ERR_CONV_FAILED,"Solver did not converge"); |
| 77 |
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12 | PetscCall(VecNorm(y,NORM_2,&norm)); |
| 78 |
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12 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Computed vector at time t=%.4g has norm %g\n",(double)PetscRealPart(t),(double)norm)); |
| 79 | |||
| 80 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 81 | Solve the problem, y=exp(t*A^T)*v | ||
| 82 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 83 | |||
| 84 |
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12 | PetscCall(MFNSolveTranspose(mfn,v,y)); |
| 85 |
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12 | PetscCall(MFNGetConvergedReason(mfn,&reason)); |
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12 | PetscCheck(reason>=0,PETSC_COMM_WORLD,PETSC_ERR_CONV_FAILED,"Solver did not converge"); |
| 87 |
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12 | PetscCall(VecNorm(y,NORM_2,&norm)); |
| 88 |
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12 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," With transpose: computed vector has norm %g\n\n",(double)norm)); |
| 89 | |||
| 90 | /* | ||
| 91 | Free work space | ||
| 92 | */ | ||
| 93 |
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12 | PetscCall(MFNDestroy(&mfn)); |
| 94 |
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12 | PetscCall(MatDestroy(&A)); |
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12 | PetscCall(VecDestroy(&v)); |
| 96 |
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12 | PetscCall(VecDestroy(&y)); |
| 97 |
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12 | PetscCall(SlepcFinalize()); |
| 98 | return 0; | ||
| 99 | } | ||
| 100 | |||
| 101 | /*TEST | ||
| 102 | |||
| 103 | testset: | ||
| 104 | args: -file ${DATAFILESPATH}/matrices/real/bfw782a.petsc -mfn_type {{krylov expokit}} -t 0.05 | ||
| 105 | requires: double !complex datafilespath !defined(PETSC_USE_64BIT_INDICES) | ||
| 106 | output_file: output/test1_1.out | ||
| 107 | test: | ||
| 108 | suffix: 1 | ||
| 109 | test: | ||
| 110 | suffix: 1_cuda | ||
| 111 | args: -mat_type aijcusparse | ||
| 112 | requires: cuda | ||
| 113 | test: | ||
| 114 | suffix: 1_hip | ||
| 115 | args: -mat_type aijhipsparse | ||
| 116 | requires: hip | ||
| 117 | |||
| 118 | testset: | ||
| 119 | args: -file ${DATAFILESPATH}/matrices/complex/qc324.petsc -mfn_type {{krylov expokit}} | ||
| 120 | requires: double complex datafilespath !defined(PETSC_USE_64BIT_INDICES) | ||
| 121 | output_file: output/test1_2.out | ||
| 122 | test: | ||
| 123 | suffix: 2 | ||
| 124 | test: | ||
| 125 | suffix: 2_cuda | ||
| 126 | args: -mat_type aijcusparse | ||
| 127 | requires: cuda | ||
| 128 | test: | ||
| 129 | suffix: 2_hip | ||
| 130 | args: -mat_type aijhipsparse | ||
| 131 | requires: hip | ||
| 132 | |||
| 133 | TEST*/ | ||
| 134 |