| 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 DSNEP.\n\n"; | ||
| 12 | |||
| 13 | #include <slepcds.h> | ||
| 14 | |||
| 15 | 15 | int main(int argc,char **argv) | |
| 16 | { | ||
| 17 | 15 | DS ds; | |
| 18 | 15 | FN f1,f2,f3,funs[3],qfun; | |
| 19 | 15 | SlepcSC sc; | |
| 20 | 15 | PetscScalar *Id,*A,*B,*wr,*wi,*X,*W,coeffs[2],auxr,alpha; | |
| 21 | 15 | PetscReal tol,tau=0.001,radius=10,h,a=20,xi,re,im,nrm,aux; | |
| 22 | 15 | PetscInt i,j,ii,jj,k,n=10,ld,nev,nfun; | |
| 23 | 15 | PetscViewer viewer; | |
| 24 | 15 | PetscBool verbose; | |
| 25 | 15 | RG rg; | |
| 26 | 15 | DSMatType mat[3]={DS_MAT_E0,DS_MAT_E1,DS_MAT_E2}; | |
| 27 | #if !defined(PETSC_USE_COMPLEX) | ||
| 28 | 5 | PetscScalar auxi; | |
| 29 | #endif | ||
| 30 | |||
| 31 |
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15 | PetscFunctionBeginUser; |
| 32 |
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15 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 33 |
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15 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 34 |
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15 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-tau",&tau,NULL)); |
| 35 |
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15 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type NEP - dimension %" PetscInt_FMT ", tau=%g.\n",n,(double)tau)); |
| 36 |
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15 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
| 37 |
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15 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-radius",&radius,NULL)); |
| 38 | |||
| 39 | /* Create DS object */ | ||
| 40 |
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15 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
| 41 |
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15 | PetscCall(DSSetType(ds,DSNEP)); |
| 42 | 15 | tol = 1000*n*PETSC_MACHINE_EPSILON; | |
| 43 |
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15 | PetscCall(DSNEPSetRefine(ds,tol,PETSC_DECIDE)); |
| 44 |
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15 | PetscCall(DSSetFromOptions(ds)); |
| 45 | |||
| 46 | /* Set functions (prior to DSAllocate) */ | ||
| 47 |
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15 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f1)); |
| 48 |
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15 | PetscCall(FNSetType(f1,FNRATIONAL)); |
| 49 | 15 | coeffs[0] = -1.0; coeffs[1] = 0.0; | |
| 50 |
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15 | PetscCall(FNRationalSetNumerator(f1,2,coeffs)); |
| 51 | |||
| 52 |
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15 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f2)); |
| 53 |
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15 | PetscCall(FNSetType(f2,FNRATIONAL)); |
| 54 | 15 | coeffs[0] = 1.0; | |
| 55 |
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15 | PetscCall(FNRationalSetNumerator(f2,1,coeffs)); |
| 56 | |||
| 57 |
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15 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f3)); |
| 58 |
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15 | PetscCall(FNSetType(f3,FNEXP)); |
| 59 |
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15 | PetscCall(FNSetScale(f3,-tau,1.0)); |
| 60 | |||
| 61 | 15 | funs[0] = f1; | |
| 62 | 15 | funs[1] = f2; | |
| 63 | 15 | funs[2] = f3; | |
| 64 |
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15 | PetscCall(DSNEPSetFN(ds,3,funs)); |
| 65 | |||
| 66 | /* Set dimensions */ | ||
| 67 | 15 | ld = n+2; /* test leading dimension larger than n */ | |
| 68 |
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15 | PetscCall(DSAllocate(ds,ld)); |
| 69 |
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15 | PetscCall(DSSetDimensions(ds,n,0,0)); |
| 70 | |||
| 71 | /* Set region (used only in method=1) */ | ||
| 72 |
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15 | PetscCall(RGCreate(PETSC_COMM_WORLD,&rg)); |
| 73 |
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15 | PetscCall(RGSetType(rg,RGELLIPSE)); |
| 74 |
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15 | PetscCall(RGEllipseSetParameters(rg,0.0,radius,1.0)); |
| 75 |
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15 | PetscCall(DSNEPSetRG(ds,rg)); |
| 76 |
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15 | PetscCall(RGDestroy(&rg)); |
| 77 | |||
| 78 | /* Set up viewer */ | ||
| 79 |
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15 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
| 80 |
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15 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
| 81 |
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15 | PetscCall(DSView(ds,viewer)); |
| 82 |
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15 | PetscCall(PetscViewerPopFormat(viewer)); |
| 83 |
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15 | if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); |
| 84 | |||
| 85 | /* Show info about functions */ | ||
| 86 |
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15 | PetscCall(DSNEPGetNumFN(ds,&nfun)); |
| 87 |
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60 | for (i=0;i<nfun;i++) { |
| 88 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Function %" PetscInt_FMT ":\n",i)); |
| 89 |
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45 | PetscCall(DSNEPGetFN(ds,i,&qfun)); |
| 90 |
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45 | PetscCall(FNView(qfun,NULL)); |
| 91 | } | ||
| 92 | |||
| 93 | /* Fill matrices */ | ||
| 94 |
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15 | PetscCall(DSGetArray(ds,DS_MAT_E0,&Id)); |
| 95 |
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165 | for (i=0;i<n;i++) Id[i+i*ld]=1.0; |
| 96 |
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15 | PetscCall(DSRestoreArray(ds,DS_MAT_E0,&Id)); |
| 97 | 15 | h = PETSC_PI/(PetscReal)(n+1); | |
| 98 |
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15 | PetscCall(DSGetArray(ds,DS_MAT_E1,&A)); |
| 99 |
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165 | for (i=0;i<n;i++) A[i+i*ld]=-2.0/(h*h)+a; |
| 100 |
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150 | for (i=1;i<n;i++) { |
| 101 | 135 | A[i+(i-1)*ld]=1.0/(h*h); | |
| 102 | 135 | A[(i-1)+i*ld]=1.0/(h*h); | |
| 103 | } | ||
| 104 |
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15 | PetscCall(DSRestoreArray(ds,DS_MAT_E1,&A)); |
| 105 |
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15 | PetscCall(DSGetArray(ds,DS_MAT_E2,&B)); |
| 106 |
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165 | for (i=0;i<n;i++) { |
| 107 | 150 | xi = (i+1)*h; | |
| 108 | 150 | B[i+i*ld] = -4.1+xi*(1.0-PetscExpReal(xi-PETSC_PI)); | |
| 109 | } | ||
| 110 |
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15 | PetscCall(DSRestoreArray(ds,DS_MAT_E2,&B)); |
| 111 | |||
| 112 |
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15 | if (verbose) { |
| 113 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
| 114 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 115 | } | ||
| 116 | |||
| 117 | /* Solve */ | ||
| 118 |
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15 | PetscCall(PetscCalloc2(n,&wr,n,&wi)); |
| 119 |
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15 | PetscCall(DSGetSlepcSC(ds,&sc)); |
| 120 | 15 | sc->comparison = SlepcCompareLargestMagnitude; | |
| 121 | 15 | sc->comparisonctx = NULL; | |
| 122 | 15 | sc->map = NULL; | |
| 123 | 15 | sc->mapobj = NULL; | |
| 124 |
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15 | PetscCall(DSSolve(ds,wr,wi)); |
| 125 |
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15 | PetscCall(DSSort(ds,wr,wi,NULL,NULL,NULL)); |
| 126 | |||
| 127 |
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15 | if (verbose) { |
| 128 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
| 129 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 130 | } | ||
| 131 |
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15 | PetscCall(DSGetDimensions(ds,NULL,NULL,NULL,&nev)); |
| 132 | |||
| 133 | /* Print computed eigenvalues */ | ||
| 134 |
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15 | PetscCall(PetscMalloc1(ld*ld,&W)); |
| 135 |
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15 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); |
| 136 |
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15 | PetscCall(DSGetArray(ds,DS_MAT_X,&X)); |
| 137 |
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15 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n")); |
| 138 |
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40 | for (i=0;i<nev;i++) { |
| 139 | #if defined(PETSC_USE_COMPLEX) | ||
| 140 | 20 | re = PetscRealPart(wr[i]); | |
| 141 | 20 | im = PetscImaginaryPart(wr[i]); | |
| 142 | #else | ||
| 143 | 5 | re = wr[i]; | |
| 144 | 5 | im = wi[i]; | |
| 145 | #endif | ||
| 146 | /* Residual */ | ||
| 147 |
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25 | PetscCall(PetscArrayzero(W,ld*ld)); |
| 148 |
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100 | for (k=0;k<nfun;k++) { |
| 149 |
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75 | PetscCall(FNEvaluateFunction(funs[k],wr[i],&alpha)); |
| 150 |
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75 | PetscCall(DSGetArray(ds,mat[k],&A)); |
| 151 |
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8325 | for (jj=0;jj<n;jj++) for (ii=0;ii<n;ii++) W[jj*ld+ii] += alpha*A[jj*ld+ii]; |
| 152 |
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75 | PetscCall(DSRestoreArray(ds,mat[k],&A)); |
| 153 | } | ||
| 154 | nrm = 0.0; | ||
| 155 |
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275 | for (k=0;k<n;k++) { |
| 156 | auxr = 0.0; | ||
| 157 | #if !defined(PETSC_USE_COMPLEX) | ||
| 158 | auxi = 0.0; | ||
| 159 | #endif | ||
| 160 |
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2750 | for (j=0;j<n;j++) { |
| 161 | 2500 | auxr += W[k+j*ld]*X[i*ld+j]; | |
| 162 | #if !defined(PETSC_USE_COMPLEX) | ||
| 163 |
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500 | if (PetscAbs(wi[j])!=0.0) auxi += W[k+j*ld]*X[(i+1)*ld+j]; |
| 164 | #endif | ||
| 165 | } | ||
| 166 | 250 | aux = SlepcAbsEigenvalue(auxr,auxi); | |
| 167 | 250 | nrm += aux*aux; | |
| 168 | } | ||
| 169 | 25 | nrm = PetscSqrtReal(nrm); | |
| 170 |
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25 | if (nrm/SlepcAbsEigenvalue(wr[i],wi[i])>tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the residual norm of the %" PetscInt_FMT "-th computed eigenpair %g\n",i,(double)nrm)); |
| 171 |
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25 | if (PetscAbs(im)<1e-10) PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)re)); |
| 172 |
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25 | else PetscCall(PetscViewerASCIIPrintf(viewer," %.5f%+.5fi\n",(double)re,(double)im)); |
| 173 | } | ||
| 174 |
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15 | PetscCall(PetscFree(W)); |
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15 | PetscCall(DSRestoreArray(ds,DS_MAT_X,&X)); |
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15 | PetscCall(DSRestoreArray(ds,DS_MAT_W,&W)); |
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15 | PetscCall(PetscFree2(wr,wi)); |
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15 | PetscCall(FNDestroy(&f1)); |
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15 | PetscCall(FNDestroy(&f2)); |
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15 | PetscCall(FNDestroy(&f3)); |
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15 | PetscCall(DSDestroy(&ds)); |
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15 | PetscCall(SlepcFinalize()); |
| 183 | return 0; | ||
| 184 | } | ||
| 185 | |||
| 186 | /*TEST | ||
| 187 | |||
| 188 | testset: | ||
| 189 | test: | ||
| 190 | filter: grep -v "solving the problem" | ||
| 191 | suffix: 1 | ||
| 192 | test: | ||
| 193 | suffix: 2 | ||
| 194 | args: -ds_method 1 -radius 10 -ds_nep_refine_its 1 | ||
| 195 | filter: grep -v "solving the problem" | sed -e "s/[+-]0\.0*i//g" | sed -e "s/37411/37410/" | sed -e "s/tolerance [0-9]\.[0-9]*e[+-]\([0-9]*\)/tolerance removed/" | sed -e "s/tolerance [0-9]\.\([0-9]*\)/tolerance removed/" | ||
| 196 | requires: complex | ||
| 197 | |||
| 198 | TEST*/ | ||
| 199 |