| 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 | This example implements one of the problems found at | ||
| 12 | NLEVP: A Collection of Nonlinear Eigenvalue Problems, | ||
| 13 | The University of Manchester. | ||
| 14 | The details of the collection can be found at: | ||
| 15 | [1] T. Betcke et al., "NLEVP: A Collection of Nonlinear Eigenvalue | ||
| 16 | Problems", ACM Trans. Math. Software 39(2), Article 7, 2013. | ||
| 17 | |||
| 18 | The acoustic_wave_1d problem is a QEP from an acoustics application. | ||
| 19 | Here we solve it with the eigenvalue scaled by the imaginary unit, to be | ||
| 20 | able to use real arithmetic, so the computed eigenvalues should be scaled | ||
| 21 | back. | ||
| 22 | */ | ||
| 23 | |||
| 24 | static char help[] = "Quadratic eigenproblem from an acoustics application (1-D).\n\n" | ||
| 25 | "The command line options are:\n" | ||
| 26 | " -n <n>, where <n> = dimension of the matrices.\n" | ||
| 27 | " -z <z>, where <z> = impedance (default 1.0).\n\n"; | ||
| 28 | |||
| 29 | #include <slepcpep.h> | ||
| 30 | |||
| 31 | 110 | int main(int argc,char **argv) | |
| 32 | { | ||
| 33 | 110 | Mat M,C,K,A[3]; /* problem matrices */ | |
| 34 | 110 | PEP pep; /* polynomial eigenproblem solver context */ | |
| 35 | 110 | PetscInt n=10,Istart,Iend,i; | |
| 36 | 110 | PetscScalar z=1.0; | |
| 37 | 110 | char str[50]; | |
| 38 | 110 | PetscBool terse; | |
| 39 | |||
| 40 |
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110 | PetscFunctionBeginUser; |
| 41 |
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110 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 42 | |||
| 43 |
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110 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
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110 | PetscCall(PetscOptionsGetScalar(NULL,NULL,"-z",&z,NULL)); |
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110 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),z,PETSC_FALSE)); |
| 46 |
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110 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nAcoustic wave 1-D, n=%" PetscInt_FMT " z=%s\n\n",n,str)); |
| 47 | |||
| 48 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 49 | Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0 | ||
| 50 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 51 | |||
| 52 | /* K is a tridiagonal */ | ||
| 53 |
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110 | PetscCall(MatCreate(PETSC_COMM_WORLD,&K)); |
| 54 |
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110 | PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
| 55 |
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110 | PetscCall(MatSetFromOptions(K)); |
| 56 | |||
| 57 |
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110 | PetscCall(MatGetOwnershipRange(K,&Istart,&Iend)); |
| 58 |
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2750 | for (i=Istart;i<Iend;i++) { |
| 59 |
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2640 | if (i>0) PetscCall(MatSetValue(K,i,i-1,-1.0*n,INSERT_VALUES)); |
| 60 |
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2640 | if (i<n-1) { |
| 61 |
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2530 | PetscCall(MatSetValue(K,i,i,2.0*n,INSERT_VALUES)); |
| 62 |
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2530 | PetscCall(MatSetValue(K,i,i+1,-1.0*n,INSERT_VALUES)); |
| 63 |
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2640 | } else PetscCall(MatSetValue(K,i,i,1.0*n,INSERT_VALUES)); |
| 64 | } | ||
| 65 | |||
| 66 |
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110 | PetscCall(MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY)); |
| 67 |
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110 | PetscCall(MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY)); |
| 68 | |||
| 69 | /* C is the zero matrix but one element*/ | ||
| 70 |
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110 | PetscCall(MatCreate(PETSC_COMM_WORLD,&C)); |
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110 | PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
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110 | PetscCall(MatSetFromOptions(C)); |
| 73 | |||
| 74 |
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110 | PetscCall(MatGetOwnershipRange(C,&Istart,&Iend)); |
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110 | if (n-1>=Istart && n-1<Iend) PetscCall(MatSetValue(C,n-1,n-1,-2*PETSC_PI/z,INSERT_VALUES)); |
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110 | PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY)); |
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110 | PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY)); |
| 78 | |||
| 79 | /* M is a diagonal matrix */ | ||
| 80 |
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110 | PetscCall(MatCreate(PETSC_COMM_WORLD,&M)); |
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110 | PetscCall(MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
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110 | PetscCall(MatSetFromOptions(M)); |
| 83 | |||
| 84 |
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110 | PetscCall(MatGetOwnershipRange(M,&Istart,&Iend)); |
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2750 | for (i=Istart;i<Iend;i++) { |
| 86 |
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2640 | if (i<n-1) PetscCall(MatSetValue(M,i,i,4*PETSC_PI*PETSC_PI/n,INSERT_VALUES)); |
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2640 | else PetscCall(MatSetValue(M,i,i,2*PETSC_PI*PETSC_PI/n,INSERT_VALUES)); |
| 88 | } | ||
| 89 |
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110 | PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY)); |
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110 | PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY)); |
| 91 | |||
| 92 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 93 | Create the eigensolver and solve the problem | ||
| 94 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 95 | |||
| 96 |
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110 | PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep)); |
| 97 | 110 | A[0] = K; A[1] = C; A[2] = M; | |
| 98 |
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110 | PetscCall(PEPSetOperators(pep,3,A)); |
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110 | PetscCall(PEPSetFromOptions(pep)); |
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110 | PetscCall(PEPSolve(pep)); |
| 101 | |||
| 102 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 103 | Display solution and clean up | ||
| 104 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 105 | |||
| 106 | /* show detailed info unless -terse option is given by user */ | ||
| 107 |
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110 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
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110 | if (terse) PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL)); |
| 109 | else { | ||
| 110 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
| 111 | ✗ | PetscCall(PEPConvergedReasonView(pep,PETSC_VIEWER_STDOUT_WORLD)); | |
| 112 | ✗ | PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD)); | |
| 113 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
| 114 | } | ||
| 115 |
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110 | PetscCall(PEPDestroy(&pep)); |
| 116 |
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110 | PetscCall(MatDestroy(&M)); |
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110 | PetscCall(MatDestroy(&C)); |
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110 | PetscCall(MatDestroy(&K)); |
| 119 |
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110 | PetscCall(SlepcFinalize()); |
| 120 | return 0; | ||
| 121 | } | ||
| 122 | |||
| 123 | /*TEST | ||
| 124 | |||
| 125 | testset: | ||
| 126 | args: -pep_nev 4 -pep_tol 1e-7 -n 24 -terse | ||
| 127 | output_file: output/acoustic_wave_1d_1.out | ||
| 128 | requires: !single | ||
| 129 | test: | ||
| 130 | suffix: 1 | ||
| 131 | args: -st_type sinvert -st_transform -pep_type {{toar qarnoldi linear}} | ||
| 132 | test: | ||
| 133 | suffix: 1_stoar | ||
| 134 | args: -st_type sinvert -st_transform -pep_type stoar -pep_hermitian -pep_stoar_locking 0 -pep_stoar_nev 11 -pep_ncv 10 | ||
| 135 | test: | ||
| 136 | suffix: 2 | ||
| 137 | args: -st_type sinvert -st_transform -pep_type toar -pep_extract {{none norm residual}} | ||
| 138 | test: | ||
| 139 | suffix: 3 | ||
| 140 | args: -st_type sinvert -pep_type linear -pep_extract {{none norm residual}} | ||
| 141 | test: | ||
| 142 | suffix: 4 | ||
| 143 | args: -pep_type jd | ||
| 144 | |||
| 145 | TEST*/ | ||
| 146 |