| 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[] = "Illustrates use of NEPSetEigenvalueComparison().\n\n" | ||
| 12 | "This is a simplified version of ex20.\n" | ||
| 13 | "The command line options are:\n" | ||
| 14 | " -n <n>, where <n> = number of grid subdivisions.\n"; | ||
| 15 | |||
| 16 | /* | ||
| 17 | Solve 1-D PDE | ||
| 18 | -u'' = lambda*u | ||
| 19 | on [0,1] subject to | ||
| 20 | u(0)=0, u'(1)=u(1)*lambda*kappa/(kappa-lambda) | ||
| 21 | */ | ||
| 22 | |||
| 23 | #include <slepcnep.h> | ||
| 24 | |||
| 25 | /* | ||
| 26 | User-defined routines | ||
| 27 | */ | ||
| 28 | PetscErrorCode FormFunction(NEP,PetscScalar,Mat,Mat,void*); | ||
| 29 | PetscErrorCode MyEigenSort(PetscScalar,PetscScalar,PetscScalar,PetscScalar,PetscInt*,void*); | ||
| 30 | |||
| 31 | /* | ||
| 32 | User-defined application context | ||
| 33 | */ | ||
| 34 | typedef struct { | ||
| 35 | PetscScalar kappa; /* ratio between stiffness of spring and attached mass */ | ||
| 36 | PetscReal h; /* mesh spacing */ | ||
| 37 | } ApplicationCtx; | ||
| 38 | |||
| 39 | 5 | int main(int argc,char **argv) | |
| 40 | { | ||
| 41 | 5 | NEP nep; /* nonlinear eigensolver context */ | |
| 42 | 5 | Mat F; /* Function matrix */ | |
| 43 | 5 | ApplicationCtx ctx; /* user-defined context */ | |
| 44 | 5 | PetscScalar target; | |
| 45 | 5 | RG rg; | |
| 46 | 5 | PetscInt n=128; | |
| 47 | 5 | PetscBool terse; | |
| 48 | |||
| 49 |
1/2✓ Branch 0 taken 1 times.
✗ Branch 1 not taken.
|
5 | PetscFunctionBeginUser; |
| 50 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 51 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 52 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Nonlinear Eigenproblem, n=%" PetscInt_FMT "\n\n",n)); |
| 53 | 5 | ctx.h = 1.0/(PetscReal)n; | |
| 54 | 5 | ctx.kappa = 1.0; | |
| 55 | |||
| 56 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 57 | Prepare nonlinear eigensolver context | ||
| 58 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 59 | |||
| 60 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep)); |
| 61 | |||
| 62 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(MatCreate(PETSC_COMM_WORLD,&F)); |
| 63 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(MatSetSizes(F,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
| 64 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(MatSetFromOptions(F)); |
| 65 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(MatSeqAIJSetPreallocation(F,3,NULL)); |
| 66 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(MatMPIAIJSetPreallocation(F,3,NULL,1,NULL)); |
| 67 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPSetFunction(nep,F,F,FormFunction,&ctx)); |
| 68 | |||
| 69 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPSetType(nep,NEPNLEIGS)); |
| 70 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPGetRG(nep,&rg)); |
| 71 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(RGSetType(rg,RGINTERVAL)); |
| 72 | #if defined(PETSC_USE_COMPLEX) | ||
| 73 | PetscCall(RGIntervalSetEndpoints(rg,2.0,400.0,-0.001,0.001)); | ||
| 74 | #else | ||
| 75 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(RGIntervalSetEndpoints(rg,2.0,400.0,0,0)); |
| 76 | #endif | ||
| 77 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPSetTarget(nep,25.0)); |
| 78 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPSetEigenvalueComparison(nep,MyEigenSort,&target)); |
| 79 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPSetTolerances(nep,PETSC_SMALL,PETSC_CURRENT)); |
| 80 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPSetFromOptions(nep)); |
| 81 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPGetTarget(nep,&target)); |
| 82 | |||
| 83 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 84 | Solve the eigensystem and display the solution | ||
| 85 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 86 | |||
| 87 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPSolve(nep)); |
| 88 | |||
| 89 | /* show detailed info unless -terse option is given by user */ | ||
| 90 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
| 91 |
5/8✓ Branch 0 taken 5 times.
✗ Branch 1 not taken.
✓ Branch 2 taken 1 times.
✓ Branch 3 taken 4 times.
✓ Branch 4 taken 1 times.
✗ Branch 5 not taken.
✗ Branch 6 not taken.
✓ Branch 7 taken 1 times.
|
5 | if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,NULL)); |
| 92 | else { | ||
| 93 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
| 94 | ✗ | PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD)); | |
| 95 | ✗ | PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); | |
| 96 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
| 97 | } | ||
| 98 | |||
| 99 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(NEPDestroy(&nep)); |
| 100 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
5 | PetscCall(MatDestroy(&F)); |
| 101 |
3/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 1 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✗ Branch 5 not taken.
|
5 | PetscCall(SlepcFinalize()); |
| 102 | return 0; | ||
| 103 | } | ||
| 104 | |||
| 105 | /* ------------------------------------------------------------------- */ | ||
| 106 | /* | ||
| 107 | FormFunction - Computes Function matrix T(lambda) | ||
| 108 | |||
| 109 | Input Parameters: | ||
| 110 | . nep - the NEP context | ||
| 111 | . lambda - the scalar argument | ||
| 112 | . ctx - optional user-defined context, as set by NEPSetFunction() | ||
| 113 | |||
| 114 | Output Parameters: | ||
| 115 | . fun - Function matrix | ||
| 116 | . B - optionally different preconditioning matrix | ||
| 117 | */ | ||
| 118 | 540 | PetscErrorCode FormFunction(NEP nep,PetscScalar lambda,Mat fun,Mat B,void *ctx) | |
| 119 | { | ||
| 120 | 540 | ApplicationCtx *user = (ApplicationCtx*)ctx; | |
| 121 | 540 | PetscScalar A[3],c,d; | |
| 122 | 540 | PetscReal h; | |
| 123 | 540 | PetscInt i,n,j[3],Istart,Iend; | |
| 124 | 540 | PetscBool FirstBlock=PETSC_FALSE,LastBlock=PETSC_FALSE; | |
| 125 | |||
| 126 |
1/2✓ Branch 0 taken 1 times.
✗ Branch 1 not taken.
|
540 | PetscFunctionBeginUser; |
| 127 | /* | ||
| 128 | Compute Function entries and insert into matrix | ||
| 129 | */ | ||
| 130 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
540 | PetscCall(MatGetSize(fun,&n,NULL)); |
| 131 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
540 | PetscCall(MatGetOwnershipRange(fun,&Istart,&Iend)); |
| 132 |
1/2✓ Branch 0 taken 5 times.
✗ Branch 1 not taken.
|
540 | if (Istart==0) FirstBlock=PETSC_TRUE; |
| 133 |
1/2✓ Branch 0 taken 5 times.
✗ Branch 1 not taken.
|
540 | if (Iend==n) LastBlock=PETSC_TRUE; |
| 134 | 540 | h = user->h; | |
| 135 | 540 | c = user->kappa/(lambda-user->kappa); | |
| 136 | 540 | d = n; | |
| 137 | |||
| 138 | /* | ||
| 139 | Interior grid points | ||
| 140 | */ | ||
| 141 |
4/6✓ Branch 0 taken 5 times.
✗ Branch 1 not taken.
✓ Branch 2 taken 5 times.
✗ Branch 3 not taken.
✓ Branch 4 taken 5 times.
✓ Branch 5 taken 5 times.
|
68580 | for (i=(FirstBlock? Istart+1: Istart);i<(LastBlock? Iend-1: Iend);i++) { |
| 142 | 68040 | j[0] = i-1; j[1] = i; j[2] = i+1; | |
| 143 | 68040 | A[0] = A[2] = -d-lambda*h/6.0; A[1] = 2.0*(d-lambda*h/3.0); | |
| 144 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
68040 | PetscCall(MatSetValues(fun,1,&i,3,j,A,INSERT_VALUES)); |
| 145 | } | ||
| 146 | |||
| 147 | /* | ||
| 148 | Boundary points | ||
| 149 | */ | ||
| 150 |
1/2✓ Branch 0 taken 5 times.
✗ Branch 1 not taken.
|
540 | if (FirstBlock) { |
| 151 | 540 | i = 0; | |
| 152 | 540 | j[0] = 0; j[1] = 1; | |
| 153 | 540 | A[0] = 2.0*(d-lambda*h/3.0); A[1] = -d-lambda*h/6.0; | |
| 154 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
540 | PetscCall(MatSetValues(fun,1,&i,2,j,A,INSERT_VALUES)); |
| 155 | } | ||
| 156 | |||
| 157 |
1/2✓ Branch 0 taken 5 times.
✗ Branch 1 not taken.
|
540 | if (LastBlock) { |
| 158 | 540 | i = n-1; | |
| 159 | 540 | j[0] = n-2; j[1] = n-1; | |
| 160 | 540 | A[0] = -d-lambda*h/6.0; A[1] = d-lambda*h/3.0+lambda*c; | |
| 161 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
540 | PetscCall(MatSetValues(fun,1,&i,2,j,A,INSERT_VALUES)); |
| 162 | } | ||
| 163 | |||
| 164 | /* | ||
| 165 | Assemble matrix | ||
| 166 | */ | ||
| 167 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
540 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
| 168 |
4/6✓ Branch 0 taken 1 times.
✓ Branch 1 taken 4 times.
✓ Branch 2 taken 1 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 1 times.
|
540 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
| 169 |
1/2✗ Branch 0 not taken.
✓ Branch 1 taken 5 times.
|
540 | if (fun != B) { |
| 170 | ✗ | PetscCall(MatAssemblyBegin(fun,MAT_FINAL_ASSEMBLY)); | |
| 171 | ✗ | PetscCall(MatAssemblyEnd(fun,MAT_FINAL_ASSEMBLY)); | |
| 172 | } | ||
| 173 |
5/12✓ Branch 0 taken 1 times.
✗ Branch 1 not taken.
✗ Branch 2 not taken.
✓ Branch 3 taken 1 times.
✓ Branch 4 taken 1 times.
✗ Branch 5 not taken.
✓ Branch 6 taken 1 times.
✗ Branch 7 not taken.
✗ Branch 8 not taken.
✓ Branch 9 taken 1 times.
✗ Branch 10 not taken.
✗ Branch 11 not taken.
|
108 | PetscFunctionReturn(PETSC_SUCCESS); |
| 174 | } | ||
| 175 | |||
| 176 | /* | ||
| 177 | Function for user-defined eigenvalue ordering criterion. | ||
| 178 | |||
| 179 | Given two eigenvalues ar+i*ai and br+i*bi, the subroutine must choose | ||
| 180 | one of them as the preferred one according to the criterion. | ||
| 181 | In this example, eigenvalues are sorted with respect to the target, | ||
| 182 | but those on the right of the target are preferred. | ||
| 183 | */ | ||
| 184 | 1028 | PetscErrorCode MyEigenSort(PetscScalar ar,PetscScalar ai,PetscScalar br,PetscScalar bi,PetscInt *r,void *ctx) | |
| 185 | { | ||
| 186 | 1028 | PetscReal a,b; | |
| 187 | 1028 | PetscScalar target = *(PetscScalar*)ctx; | |
| 188 | |||
| 189 |
1/2✓ Branch 0 taken 1 times.
✗ Branch 1 not taken.
|
1028 | PetscFunctionBeginUser; |
| 190 |
4/4✓ Branch 0 taken 5 times.
✓ Branch 1 taken 5 times.
✓ Branch 2 taken 5 times.
✓ Branch 3 taken 5 times.
|
1028 | if (PetscRealPart(ar-target)<0.0 && PetscRealPart(br-target)>0.0) *r = 1; |
| 191 | else { | ||
| 192 | 581 | a = SlepcAbsEigenvalue(ar-target,ai); | |
| 193 | 581 | b = SlepcAbsEigenvalue(br-target,bi); | |
| 194 |
2/2✓ Branch 0 taken 5 times.
✓ Branch 1 taken 5 times.
|
581 | if (a>b) *r = 1; |
| 195 |
1/2✓ Branch 0 taken 5 times.
✗ Branch 1 not taken.
|
445 | else if (a<b) *r = -1; |
| 196 | ✗ | else *r = 0; | |
| 197 | } | ||
| 198 |
5/12✓ Branch 0 taken 1 times.
✗ Branch 1 not taken.
✗ Branch 2 not taken.
✓ Branch 3 taken 1 times.
✓ Branch 4 taken 1 times.
✗ Branch 5 not taken.
✓ Branch 6 taken 1 times.
✗ Branch 7 not taken.
✗ Branch 8 not taken.
✓ Branch 9 taken 1 times.
✗ Branch 10 not taken.
✗ Branch 11 not taken.
|
1028 | PetscFunctionReturn(PETSC_SUCCESS); |
| 199 | } | ||
| 200 | |||
| 201 | /*TEST | ||
| 202 | |||
| 203 | test: | ||
| 204 | suffix: 1 | ||
| 205 | args: -nep_nev 4 -nep_ncv 8 -terse | ||
| 206 | requires: double !complex | ||
| 207 | |||
| 208 | TEST*/ | ||
| 209 |