| 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 | SLEPc nonlinear eigensolver: "interpol" | ||
| 12 | |||
| 13 | Method: Polynomial interpolation | ||
| 14 | |||
| 15 | Algorithm: | ||
| 16 | |||
| 17 | Uses a PEP object to solve the interpolated NEP. Currently supports | ||
| 18 | only Chebyshev interpolation on an interval. | ||
| 19 | |||
| 20 | References: | ||
| 21 | |||
| 22 | [1] C. Effenberger and D. Kresser, "Chebyshev interpolation for | ||
| 23 | nonlinear eigenvalue problems", BIT 52:933-951, 2012. | ||
| 24 | */ | ||
| 25 | |||
| 26 | #include <slepc/private/nepimpl.h> /*I "slepcnep.h" I*/ | ||
| 27 | |||
| 28 | typedef struct { | ||
| 29 | PEP pep; | ||
| 30 | PetscReal tol; /* tolerance for norm of polynomial coefficients */ | ||
| 31 | PetscInt maxdeg; /* maximum degree of interpolation polynomial */ | ||
| 32 | PetscInt deg; /* actual degree of interpolation polynomial */ | ||
| 33 | } NEP_INTERPOL; | ||
| 34 | |||
| 35 | 200 | static PetscErrorCode NEPSetUp_Interpol(NEP nep) | |
| 36 | { | ||
| 37 | 200 | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 38 | 200 | ST st; | |
| 39 | 200 | RG rg; | |
| 40 | 200 | PetscReal a,b,c,d,s,tol; | |
| 41 | 200 | PetscScalar zero=0.0; | |
| 42 | 200 | PetscBool flg,istrivial,trackall; | |
| 43 | 200 | PetscInt its,in; | |
| 44 | |||
| 45 |
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200 | PetscFunctionBegin; |
| 46 |
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200 | PetscCall(NEPSetDimensions_Default(nep,nep->nev,&nep->ncv,&nep->mpd)); |
| 47 |
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200 | PetscCheck(nep->ncv<=nep->nev+nep->mpd,PetscObjectComm((PetscObject)nep),PETSC_ERR_USER_INPUT,"The value of ncv must not be larger than nev+mpd"); |
| 48 |
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200 | if (nep->max_it==PETSC_DETERMINE) nep->max_it = PetscMax(5000,2*nep->n/nep->ncv); |
| 49 |
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200 | if (!nep->which) nep->which = NEP_TARGET_MAGNITUDE; |
| 50 |
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200 | PetscCheck(nep->which==NEP_TARGET_MAGNITUDE,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"This solver supports only target magnitude eigenvalues"); |
| 51 |
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200 | NEPCheckUnsupported(nep,NEP_FEATURE_CALLBACK | NEP_FEATURE_STOPPING | NEP_FEATURE_TWOSIDED); |
| 52 | |||
| 53 | /* transfer PEP options */ | ||
| 54 |
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200 | if (!ctx->pep) PetscCall(NEPInterpolGetPEP(nep,&ctx->pep)); |
| 55 |
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200 | PetscCall(PEPSetBasis(ctx->pep,PEP_BASIS_CHEBYSHEV1)); |
| 56 |
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200 | PetscCall(PEPSetWhichEigenpairs(ctx->pep,PEP_TARGET_MAGNITUDE)); |
| 57 |
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200 | PetscCall(PetscObjectTypeCompare((PetscObject)ctx->pep,PEPJD,&flg)); |
| 58 |
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200 | if (!flg) { |
| 59 |
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184 | PetscCall(PEPGetST(ctx->pep,&st)); |
| 60 |
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184 | PetscCall(STSetType(st,STSINVERT)); |
| 61 | } | ||
| 62 |
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200 | PetscCall(PEPSetDimensions(ctx->pep,nep->nev,nep->ncv,nep->mpd)); |
| 63 |
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200 | PetscCall(PEPGetTolerances(ctx->pep,&tol,&its)); |
| 64 |
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313 | if (tol==(PetscReal)PETSC_DETERMINE) tol = SlepcDefaultTol(nep->tol); |
| 65 |
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200 | if (ctx->tol==(PetscReal)PETSC_DETERMINE) ctx->tol = tol; |
| 66 |
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200 | if (its==PETSC_DETERMINE) its = nep->max_it; |
| 67 |
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200 | PetscCall(PEPSetTolerances(ctx->pep,tol,its)); |
| 68 |
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200 | PetscCall(NEPGetTrackAll(nep,&trackall)); |
| 69 |
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200 | PetscCall(PEPSetTrackAll(ctx->pep,trackall)); |
| 70 | |||
| 71 | /* transfer region options */ | ||
| 72 |
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200 | PetscCall(RGIsTrivial(nep->rg,&istrivial)); |
| 73 |
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200 | PetscCheck(!istrivial,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"NEPINTERPOL requires a nontrivial region"); |
| 74 |
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200 | PetscCall(PetscObjectTypeCompare((PetscObject)nep->rg,RGINTERVAL,&flg)); |
| 75 |
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200 | PetscCheck(flg,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"Only implemented for interval regions"); |
| 76 |
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200 | PetscCall(RGIntervalGetEndpoints(nep->rg,&a,&b,&c,&d)); |
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200 | PetscCheck(a>-PETSC_MAX_REAL && b<PETSC_MAX_REAL,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"Only implemented for bounded intervals"); |
| 78 |
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200 | PetscCall(PEPGetRG(ctx->pep,&rg)); |
| 79 |
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200 | PetscCall(RGSetType(rg,RGINTERVAL)); |
| 80 |
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200 | PetscCheck(a!=b,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"Only implemented for intervals on the real axis"); |
| 81 | 200 | s = 2.0/(b-a); | |
| 82 | 200 | c = c*s; | |
| 83 | 200 | d = d*s; | |
| 84 |
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200 | PetscCall(RGIntervalSetEndpoints(rg,-1.0,1.0,c,d)); |
| 85 |
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200 | PetscCall(RGCheckInside(nep->rg,1,&nep->target,&zero,&in)); |
| 86 |
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200 | PetscCheck(in>=0,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"The target is not inside the target set"); |
| 87 |
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200 | PetscCall(PEPSetTarget(ctx->pep,(nep->target-(a+b)/2)*s)); |
| 88 | |||
| 89 |
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200 | PetscCall(NEPAllocateSolution(nep,0)); |
| 90 |
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50 | PetscFunctionReturn(PETSC_SUCCESS); |
| 91 | } | ||
| 92 | |||
| 93 | /* | ||
| 94 | Input: | ||
| 95 | d, number of nodes to compute | ||
| 96 | a,b, interval extremes | ||
| 97 | Output: | ||
| 98 | *x, array containing the d Chebyshev nodes of the interval [a,b] | ||
| 99 | *dct2, coefficients to compute a discrete cosine transformation (DCT-II) | ||
| 100 | */ | ||
| 101 | 200 | static PetscErrorCode ChebyshevNodes(PetscInt d,PetscReal a,PetscReal b,PetscScalar *x,PetscReal *dct2) | |
| 102 | { | ||
| 103 | 200 | PetscInt j,i; | |
| 104 | 200 | PetscReal t; | |
| 105 | |||
| 106 |
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200 | PetscFunctionBegin; |
| 107 |
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2106 | for (j=0;j<d+1;j++) { |
| 108 | 1906 | t = ((2*j+1)*PETSC_PI)/(2*(d+1)); | |
| 109 | 1906 | x[j] = (a+b)/2.0+((b-a)/2.0)*PetscCosReal(t); | |
| 110 |
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22990 | for (i=0;i<d+1;i++) dct2[j*(d+1)+i] = PetscCosReal(i*t); |
| 111 | } | ||
| 112 |
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200 | PetscFunctionReturn(PETSC_SUCCESS); |
| 113 | } | ||
| 114 | |||
| 115 | 200 | static PetscErrorCode NEPSolve_Interpol(NEP nep) | |
| 116 | { | ||
| 117 | 200 | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 118 | 200 | Mat *A,*P; | |
| 119 | 200 | PetscScalar *x,*fx,t; | |
| 120 | 200 | PetscReal *cs,a,b,s,aprox,aprox0=1.0,*matnorm; | |
| 121 | 200 | PetscInt i,j,k,deg=ctx->maxdeg; | |
| 122 | 200 | PetscBool hasmnorm=PETSC_FALSE; | |
| 123 | 200 | Vec vr,vi=NULL; | |
| 124 | 200 | ST st; | |
| 125 | |||
| 126 |
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200 | PetscFunctionBegin; |
| 127 |
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200 | PetscCall(PetscMalloc4((deg+1)*(deg+1),&cs,deg+1,&x,(deg+1)*nep->nt,&fx,nep->nt,&matnorm)); |
| 128 |
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800 | for (j=0;j<nep->nt;j++) { |
| 129 |
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600 | PetscCall(MatHasOperation(nep->A[j],MATOP_NORM,&hasmnorm)); |
| 130 |
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600 | if (!hasmnorm) break; |
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600 | PetscCall(MatNorm(nep->A[j],NORM_INFINITY,matnorm+j)); |
| 132 | } | ||
| 133 |
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200 | if (!hasmnorm) for (j=0;j<nep->nt;j++) matnorm[j] = 1.0; |
| 134 |
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200 | PetscCall(RGIntervalGetEndpoints(nep->rg,&a,&b,NULL,NULL)); |
| 135 |
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200 | PetscCall(ChebyshevNodes(deg,a,b,x,cs)); |
| 136 |
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800 | for (j=0;j<nep->nt;j++) { |
| 137 |
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6318 | for (i=0;i<=deg;i++) PetscCall(FNEvaluateFunction(nep->f[j],x[i],&fx[i+j*(deg+1)])); |
| 138 | } | ||
| 139 | /* Polynomial coefficients */ | ||
| 140 |
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200 | PetscCall(PetscMalloc1(deg+1,&A)); |
| 141 |
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200 | if (nep->P) PetscCall(PetscMalloc1(deg+1,&P)); |
| 142 | 200 | ctx->deg = deg; | |
| 143 |
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1703 | for (k=0;k<=deg;k++) { |
| 144 |
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1607 | PetscCall(MatDuplicate(nep->A[0],MAT_COPY_VALUES,&A[k])); |
| 145 |
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1607 | if (nep->P) PetscCall(MatDuplicate(nep->P[0],MAT_COPY_VALUES,&P[k])); |
| 146 | 1607 | t = 0.0; | |
| 147 |
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20727 | for (i=0;i<deg+1;i++) t += fx[i]*cs[i*(deg+1)+k]; |
| 148 | 1607 | t *= 2.0/(deg+1); | |
| 149 |
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1607 | if (k==0) t /= 2.0; |
| 150 | 1607 | aprox = matnorm[0]*PetscAbsScalar(t); | |
| 151 |
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1607 | PetscCall(MatScale(A[k],t)); |
| 152 |
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1607 | if (nep->P) PetscCall(MatScale(P[k],t)); |
| 153 |
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4821 | for (j=1;j<nep->nt;j++) { |
| 154 | t = 0.0; | ||
| 155 |
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41454 | for (i=0;i<deg+1;i++) t += fx[i+j*(deg+1)]*cs[i*(deg+1)+k]; |
| 156 | 3214 | t *= 2.0/(deg+1); | |
| 157 |
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3214 | if (k==0) t /= 2.0; |
| 158 | 3214 | aprox += matnorm[j]*PetscAbsScalar(t); | |
| 159 |
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3214 | PetscCall(MatAXPY(A[k],t,nep->A[j],nep->mstr)); |
| 160 |
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3214 | if (nep->P) PetscCall(MatAXPY(P[k],t,nep->P[j],nep->mstrp)); |
| 161 | } | ||
| 162 |
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1607 | if (k==0) aprox0 = aprox; |
| 163 |
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1430 | if (k>1 && aprox/aprox0<ctx->tol) { ctx->deg = k; deg = k; break; } |
| 164 | } | ||
| 165 |
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200 | PetscCall(PEPSetOperators(ctx->pep,deg+1,A)); |
| 166 |
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200 | PetscCall(MatDestroyMatrices(deg+1,&A)); |
| 167 |
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200 | if (nep->P) { |
| 168 |
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8 | PetscCall(PEPGetST(ctx->pep,&st)); |
| 169 |
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8 | PetscCall(STSetSplitPreconditioner(st,deg+1,P,nep->mstrp)); |
| 170 |
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8 | PetscCall(MatDestroyMatrices(deg+1,&P)); |
| 171 | } | ||
| 172 |
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200 | PetscCall(PetscFree4(cs,x,fx,matnorm)); |
| 173 | |||
| 174 | /* Solve polynomial eigenproblem */ | ||
| 175 |
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200 | PetscCall(PEPSolve(ctx->pep)); |
| 176 |
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200 | PetscCall(PEPGetConverged(ctx->pep,&nep->nconv)); |
| 177 |
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200 | PetscCall(PEPGetIterationNumber(ctx->pep,&nep->its)); |
| 178 |
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200 | PetscCall(PEPGetConvergedReason(ctx->pep,(PEPConvergedReason*)&nep->reason)); |
| 179 |
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200 | PetscCall(BVSetActiveColumns(nep->V,0,nep->nconv)); |
| 180 |
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200 | PetscCall(BVCreateVec(nep->V,&vr)); |
| 181 | #if !defined(PETSC_USE_COMPLEX) | ||
| 182 |
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101 | PetscCall(VecDuplicate(vr,&vi)); |
| 183 | #endif | ||
| 184 | 200 | s = 2.0/(b-a); | |
| 185 |
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1088 | for (i=0;i<nep->nconv;i++) { |
| 186 |
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888 | PetscCall(PEPGetEigenpair(ctx->pep,i,&nep->eigr[i],&nep->eigi[i],vr,vi)); |
| 187 | 888 | nep->eigr[i] /= s; | |
| 188 | 888 | nep->eigr[i] += (a+b)/2.0; | |
| 189 | 888 | nep->eigi[i] /= s; | |
| 190 |
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888 | PetscCall(BVInsertVec(nep->V,i,vr)); |
| 191 | #if !defined(PETSC_USE_COMPLEX) | ||
| 192 |
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447 | if (nep->eigi[i]!=0.0) PetscCall(BVInsertVec(nep->V,++i,vi)); |
| 193 | #endif | ||
| 194 | } | ||
| 195 |
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200 | PetscCall(VecDestroy(&vr)); |
| 196 |
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200 | PetscCall(VecDestroy(&vi)); |
| 197 | |||
| 198 | 200 | nep->state = NEP_STATE_EIGENVECTORS; | |
| 199 |
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200 | PetscFunctionReturn(PETSC_SUCCESS); |
| 200 | } | ||
| 201 | |||
| 202 | 2606 | static PetscErrorCode PEPMonitor_Interpol(PEP pep,PetscInt its,PetscInt nconv,PetscScalar *eigr,PetscScalar *eigi,PetscReal *errest,PetscInt nest,void *ctx) | |
| 203 | { | ||
| 204 | 2606 | PetscInt i,n; | |
| 205 | 2606 | NEP nep = (NEP)ctx; | |
| 206 | 2606 | PetscReal a,b,s; | |
| 207 | 2606 | ST st; | |
| 208 | |||
| 209 |
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2606 | PetscFunctionBegin; |
| 210 | 2606 | n = PetscMin(nest,nep->ncv); | |
| 211 |
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54424 | for (i=0;i<n;i++) { |
| 212 | 51818 | nep->eigr[i] = eigr[i]; | |
| 213 | 51818 | nep->eigi[i] = eigi[i]; | |
| 214 | 51818 | nep->errest[i] = errest[i]; | |
| 215 | } | ||
| 216 |
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2606 | PetscCall(PEPGetST(pep,&st)); |
| 217 |
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2606 | PetscCall(STBackTransform(st,n,nep->eigr,nep->eigi)); |
| 218 |
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2606 | PetscCall(RGIntervalGetEndpoints(nep->rg,&a,&b,NULL,NULL)); |
| 219 | 2606 | s = 2.0/(b-a); | |
| 220 |
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54424 | for (i=0;i<n;i++) { |
| 221 | 51818 | nep->eigr[i] /= s; | |
| 222 | 51818 | nep->eigr[i] += (a+b)/2.0; | |
| 223 | 51818 | nep->eigi[i] /= s; | |
| 224 | } | ||
| 225 |
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2606 | PetscCall(NEPMonitor(nep,its,nconv,nep->eigr,nep->eigi,nep->errest,nest)); |
| 226 |
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638 | PetscFunctionReturn(PETSC_SUCCESS); |
| 227 | } | ||
| 228 | |||
| 229 | 176 | static PetscErrorCode NEPSetFromOptions_Interpol(NEP nep,PetscOptionItems PetscOptionsObject) | |
| 230 | { | ||
| 231 | 176 | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 232 | 176 | PetscInt i; | |
| 233 | 176 | PetscBool flg1,flg2; | |
| 234 | 176 | PetscReal r; | |
| 235 | |||
| 236 |
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176 | PetscFunctionBegin; |
| 237 |
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176 | PetscOptionsHeadBegin(PetscOptionsObject,"NEP Interpol Options"); |
| 238 | |||
| 239 |
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176 | PetscCall(NEPInterpolGetInterpolation(nep,&r,&i)); |
| 240 |
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176 | if (!i) i = PETSC_DETERMINE; |
| 241 |
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176 | PetscCall(PetscOptionsInt("-nep_interpol_interpolation_degree","Maximum degree of polynomial interpolation","NEPInterpolSetInterpolation",i,&i,&flg1)); |
| 242 |
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176 | PetscCall(PetscOptionsReal("-nep_interpol_interpolation_tol","Tolerance for interpolation coefficients","NEPInterpolSetInterpolation",r,&r,&flg2)); |
| 243 |
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176 | if (flg1 || flg2) PetscCall(NEPInterpolSetInterpolation(nep,r,i)); |
| 244 | |||
| 245 |
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176 | PetscOptionsHeadEnd(); |
| 246 | |||
| 247 |
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176 | if (!ctx->pep) PetscCall(NEPInterpolGetPEP(nep,&ctx->pep)); |
| 248 |
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176 | PetscCall(PEPSetFromOptions(ctx->pep)); |
| 249 |
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44 | PetscFunctionReturn(PETSC_SUCCESS); |
| 250 | } | ||
| 251 | |||
| 252 | 113 | static PetscErrorCode NEPInterpolSetInterpolation_Interpol(NEP nep,PetscReal tol,PetscInt degree) | |
| 253 | { | ||
| 254 | 113 | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 255 | |||
| 256 |
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113 | PetscFunctionBegin; |
| 257 |
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113 | if (tol == (PetscReal)PETSC_DETERMINE) { |
| 258 | 113 | ctx->tol = PETSC_DETERMINE; | |
| 259 | 113 | nep->state = NEP_STATE_INITIAL; | |
| 260 | ✗ | } else if (tol != (PetscReal)PETSC_CURRENT) { | |
| 261 | ✗ | PetscCheck(tol>0.0,PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"Illegal value of tol. Must be > 0"); | |
| 262 | ✗ | ctx->tol = tol; | |
| 263 | } | ||
| 264 |
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113 | if (degree == PETSC_DETERMINE) { |
| 265 | ✗ | ctx->maxdeg = 0; | |
| 266 | ✗ | if (nep->state) PetscCall(NEPReset(nep)); | |
| 267 | ✗ | nep->state = NEP_STATE_INITIAL; | |
| 268 |
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113 | } else if (degree != PETSC_CURRENT) { |
| 269 |
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113 | PetscCheck(degree>0,PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"Illegal value of degree. Must be > 0"); |
| 270 |
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113 | if (ctx->maxdeg != degree) { |
| 271 | 113 | ctx->maxdeg = degree; | |
| 272 |
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113 | if (nep->state) PetscCall(NEPReset(nep)); |
| 273 | 113 | nep->state = NEP_STATE_INITIAL; | |
| 274 | } | ||
| 275 | } | ||
| 276 |
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28 | PetscFunctionReturn(PETSC_SUCCESS); |
| 277 | } | ||
| 278 | |||
| 279 | /*@ | ||
| 280 | NEPInterpolSetInterpolation - Sets the tolerance and maximum degree when building | ||
| 281 | the interpolation polynomial. | ||
| 282 | |||
| 283 | Collective | ||
| 284 | |||
| 285 | Input Parameters: | ||
| 286 | + nep - the nonlinear eigensolver context | ||
| 287 | . tol - tolerance to stop computing polynomial coefficients | ||
| 288 | - deg - maximum degree of interpolation | ||
| 289 | |||
| 290 | Options Database Keys: | ||
| 291 | + -nep_interpol_interpolation_tol \<tol\> - sets the tolerance to stop computing polynomial coefficients | ||
| 292 | - -nep_interpol_interpolation_degree \<deg\> - sets the maximum degree of interpolation | ||
| 293 | |||
| 294 | Note: | ||
| 295 | `PETSC_CURRENT` can be used to preserve the current value of any of the | ||
| 296 | arguments, and `PETSC_DETERMINE` to set them to a default value. | ||
| 297 | |||
| 298 | Level: advanced | ||
| 299 | |||
| 300 | .seealso: [](ch:nep), `NEPINTERPOL`, `NEPInterpolGetInterpolation()` | ||
| 301 | @*/ | ||
| 302 | 113 | PetscErrorCode NEPInterpolSetInterpolation(NEP nep,PetscReal tol,PetscInt deg) | |
| 303 | { | ||
| 304 |
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113 | PetscFunctionBegin; |
| 305 |
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113 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 306 |
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113 | PetscValidLogicalCollectiveReal(nep,tol,2); |
| 307 |
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113 | PetscValidLogicalCollectiveInt(nep,deg,3); |
| 308 |
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113 | PetscTryMethod(nep,"NEPInterpolSetInterpolation_C",(NEP,PetscReal,PetscInt),(nep,tol,deg)); |
| 309 |
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113 | PetscFunctionReturn(PETSC_SUCCESS); |
| 310 | } | ||
| 311 | |||
| 312 | 193 | static PetscErrorCode NEPInterpolGetInterpolation_Interpol(NEP nep,PetscReal *tol,PetscInt *deg) | |
| 313 | { | ||
| 314 | 193 | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 315 | |||
| 316 |
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193 | PetscFunctionBegin; |
| 317 |
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193 | if (tol) *tol = ctx->tol; |
| 318 |
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193 | if (deg) *deg = ctx->maxdeg; |
| 319 |
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193 | PetscFunctionReturn(PETSC_SUCCESS); |
| 320 | } | ||
| 321 | |||
| 322 | /*@ | ||
| 323 | NEPInterpolGetInterpolation - Gets the tolerance and maximum degree when building | ||
| 324 | the interpolation polynomial. | ||
| 325 | |||
| 326 | Not Collective | ||
| 327 | |||
| 328 | Input Parameter: | ||
| 329 | . nep - the nonlinear eigensolver context | ||
| 330 | |||
| 331 | Output Parameters: | ||
| 332 | + tol - tolerance to stop computing polynomial coefficients | ||
| 333 | - deg - maximum degree of interpolation | ||
| 334 | |||
| 335 | Level: advanced | ||
| 336 | |||
| 337 | .seealso: [](ch:nep), `NEPINTERPOL`, `NEPInterpolSetInterpolation()` | ||
| 338 | @*/ | ||
| 339 | 193 | PetscErrorCode NEPInterpolGetInterpolation(NEP nep,PetscReal *tol,PetscInt *deg) | |
| 340 | { | ||
| 341 |
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193 | PetscFunctionBegin; |
| 342 |
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193 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 343 |
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193 | PetscUseMethod(nep,"NEPInterpolGetInterpolation_C",(NEP,PetscReal*,PetscInt*),(nep,tol,deg)); |
| 344 |
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193 | PetscFunctionReturn(PETSC_SUCCESS); |
| 345 | } | ||
| 346 | |||
| 347 | 17 | static PetscErrorCode NEPInterpolSetPEP_Interpol(NEP nep,PEP pep) | |
| 348 | { | ||
| 349 | 17 | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 350 | |||
| 351 |
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17 | PetscFunctionBegin; |
| 352 |
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17 | PetscCall(PetscObjectReference((PetscObject)pep)); |
| 353 |
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17 | PetscCall(PEPDestroy(&ctx->pep)); |
| 354 | 17 | ctx->pep = pep; | |
| 355 | 17 | nep->state = NEP_STATE_INITIAL; | |
| 356 |
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17 | PetscFunctionReturn(PETSC_SUCCESS); |
| 357 | } | ||
| 358 | |||
| 359 | /*@ | ||
| 360 | NEPInterpolSetPEP - Associate a polynomial eigensolver object (`PEP`) to the | ||
| 361 | nonlinear eigenvalue solver. | ||
| 362 | |||
| 363 | Collective | ||
| 364 | |||
| 365 | Input Parameters: | ||
| 366 | + nep - the nonlinear eigensolver context | ||
| 367 | - pep - the polynomial eigensolver context | ||
| 368 | |||
| 369 | Level: advanced | ||
| 370 | |||
| 371 | .seealso: [](ch:nep), `NEPINTERPOL`, `NEPInterpolGetPEP()` | ||
| 372 | @*/ | ||
| 373 | 17 | PetscErrorCode NEPInterpolSetPEP(NEP nep,PEP pep) | |
| 374 | { | ||
| 375 |
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17 | PetscFunctionBegin; |
| 376 |
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17 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 377 |
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17 | PetscValidHeaderSpecific(pep,PEP_CLASSID,2); |
| 378 |
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17 | PetscCheckSameComm(nep,1,pep,2); |
| 379 |
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17 | PetscTryMethod(nep,"NEPInterpolSetPEP_C",(NEP,PEP),(nep,pep)); |
| 380 |
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17 | PetscFunctionReturn(PETSC_SUCCESS); |
| 381 | } | ||
| 382 | |||
| 383 | 159 | static PetscErrorCode NEPInterpolGetPEP_Interpol(NEP nep,PEP *pep) | |
| 384 | { | ||
| 385 | 159 | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 386 | |||
| 387 |
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159 | PetscFunctionBegin; |
| 388 |
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159 | if (!ctx->pep) { |
| 389 |
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159 | PetscCall(PEPCreate(PetscObjectComm((PetscObject)nep),&ctx->pep)); |
| 390 |
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159 | PetscCall(PetscObjectIncrementTabLevel((PetscObject)ctx->pep,(PetscObject)nep,1)); |
| 391 |
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159 | PetscCall(PEPSetOptionsPrefix(ctx->pep,((PetscObject)nep)->prefix)); |
| 392 |
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159 | PetscCall(PEPAppendOptionsPrefix(ctx->pep,"nep_interpol_")); |
| 393 |
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159 | PetscCall(PetscObjectSetOptions((PetscObject)ctx->pep,((PetscObject)nep)->options)); |
| 394 |
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159 | PetscCall(PEPMonitorSet(ctx->pep,PEPMonitor_Interpol,nep,NULL)); |
| 395 | } | ||
| 396 | 159 | *pep = ctx->pep; | |
| 397 |
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159 | PetscFunctionReturn(PETSC_SUCCESS); |
| 398 | } | ||
| 399 | |||
| 400 | /*@ | ||
| 401 | NEPInterpolGetPEP - Retrieve the polynomial eigensolver object (`PEP`) | ||
| 402 | associated with the nonlinear eigenvalue solver. | ||
| 403 | |||
| 404 | Collective | ||
| 405 | |||
| 406 | Input Parameter: | ||
| 407 | . nep - the nonlinear eigensolver context | ||
| 408 | |||
| 409 | Output Parameter: | ||
| 410 | . pep - the polynomial eigensolver context | ||
| 411 | |||
| 412 | Level: advanced | ||
| 413 | |||
| 414 | .seealso: [](ch:nep), `NEPINTERPOL`, `NEPInterpolSetPEP()` | ||
| 415 | @*/ | ||
| 416 | 159 | PetscErrorCode NEPInterpolGetPEP(NEP nep,PEP *pep) | |
| 417 | { | ||
| 418 |
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159 | PetscFunctionBegin; |
| 419 |
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159 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 420 |
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159 | PetscAssertPointer(pep,2); |
| 421 |
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159 | PetscUseMethod(nep,"NEPInterpolGetPEP_C",(NEP,PEP*),(nep,pep)); |
| 422 |
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159 | PetscFunctionReturn(PETSC_SUCCESS); |
| 423 | } | ||
| 424 | |||
| 425 | ✗ | static PetscErrorCode NEPView_Interpol(NEP nep,PetscViewer viewer) | |
| 426 | { | ||
| 427 | ✗ | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 428 | ✗ | PetscBool isascii; | |
| 429 | |||
| 430 | ✗ | PetscFunctionBegin; | |
| 431 | ✗ | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); | |
| 432 | ✗ | if (isascii) { | |
| 433 | ✗ | if (!ctx->pep) PetscCall(NEPInterpolGetPEP(nep,&ctx->pep)); | |
| 434 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," polynomial degree %" PetscInt_FMT ", max=%" PetscInt_FMT "\n",ctx->deg,ctx->maxdeg)); | |
| 435 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," tolerance for norm of polynomial coefficients %g\n",(double)ctx->tol)); | |
| 436 | ✗ | PetscCall(PetscViewerASCIIPushTab(viewer)); | |
| 437 | ✗ | PetscCall(PEPView(ctx->pep,viewer)); | |
| 438 | ✗ | PetscCall(PetscViewerASCIIPopTab(viewer)); | |
| 439 | } | ||
| 440 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 441 | } | ||
| 442 | |||
| 443 | 200 | static PetscErrorCode NEPReset_Interpol(NEP nep) | |
| 444 | { | ||
| 445 | 200 | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 446 | |||
| 447 |
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200 | PetscFunctionBegin; |
| 448 |
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200 | PetscCall(PEPReset(ctx->pep)); |
| 449 |
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50 | PetscFunctionReturn(PETSC_SUCCESS); |
| 450 | } | ||
| 451 | |||
| 452 | 176 | static PetscErrorCode NEPDestroy_Interpol(NEP nep) | |
| 453 | { | ||
| 454 | 176 | NEP_INTERPOL *ctx = (NEP_INTERPOL*)nep->data; | |
| 455 | |||
| 456 |
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176 | PetscFunctionBegin; |
| 457 |
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176 | PetscCall(PEPDestroy(&ctx->pep)); |
| 458 |
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176 | PetscCall(PetscFree(nep->data)); |
| 459 |
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176 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPInterpolSetInterpolation_C",NULL)); |
| 460 |
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176 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPInterpolGetInterpolation_C",NULL)); |
| 461 |
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176 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPInterpolSetPEP_C",NULL)); |
| 462 |
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176 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPInterpolGetPEP_C",NULL)); |
| 463 |
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44 | PetscFunctionReturn(PETSC_SUCCESS); |
| 464 | } | ||
| 465 | |||
| 466 | /*MC | ||
| 467 | NEPINTERPOL - NEPINTERPOL = "interpol" - Solve the nonlinear | ||
| 468 | eigenvalue problem via polynomial interpolation. | ||
| 469 | |||
| 470 | Note: | ||
| 471 | This solver will approximate the nonlinear eigenvalue problem | ||
| 472 | with a polynomial eigenvalue problem and use `PEP` to solve it. | ||
| 473 | This is appropriate in nonlinear problems without singularities | ||
| 474 | and whose eigenvalues are all real. The degree of the polynomial | ||
| 475 | should generally be large, in which case a non-monomial representation | ||
| 476 | such as Chebyshev should be used {cite:p}`Kre14`. | ||
| 477 | |||
| 478 | Level: beginner | ||
| 479 | |||
| 480 | .seealso: [](ch:nep), `NEP`, `NEPType`, `NEPSetType()`, `NEPSLPGetEPS()`, `NEPSetTwoSided()`, `NEPSLPGetEPSLeft()` | ||
| 481 | M*/ | ||
| 482 | 176 | SLEPC_EXTERN PetscErrorCode NEPCreate_Interpol(NEP nep) | |
| 483 | { | ||
| 484 | 176 | NEP_INTERPOL *ctx; | |
| 485 | |||
| 486 |
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176 | PetscFunctionBegin; |
| 487 |
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176 | PetscCall(PetscNew(&ctx)); |
| 488 | 176 | nep->data = (void*)ctx; | |
| 489 | 176 | ctx->maxdeg = 5; | |
| 490 | 176 | ctx->tol = PETSC_DETERMINE; | |
| 491 | |||
| 492 | 176 | nep->ops->solve = NEPSolve_Interpol; | |
| 493 | 176 | nep->ops->setup = NEPSetUp_Interpol; | |
| 494 | 176 | nep->ops->setfromoptions = NEPSetFromOptions_Interpol; | |
| 495 | 176 | nep->ops->reset = NEPReset_Interpol; | |
| 496 | 176 | nep->ops->destroy = NEPDestroy_Interpol; | |
| 497 | 176 | nep->ops->view = NEPView_Interpol; | |
| 498 | |||
| 499 |
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176 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPInterpolSetInterpolation_C",NEPInterpolSetInterpolation_Interpol)); |
| 500 |
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176 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPInterpolGetInterpolation_C",NEPInterpolGetInterpolation_Interpol)); |
| 501 |
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176 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPInterpolSetPEP_C",NEPInterpolSetPEP_Interpol)); |
| 502 |
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176 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPInterpolGetPEP_C",NEPInterpolGetPEP_Interpol)); |
| 503 |
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44 | PetscFunctionReturn(PETSC_SUCCESS); |
| 504 | } | ||
| 505 |