| 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 | Newton refinement for polynomial eigenproblems. | ||
| 12 | |||
| 13 | References: | ||
| 14 | |||
| 15 | [1] T. Betcke and D. Kressner, "Perturbation, extraction and refinement | ||
| 16 | of invariant pairs for matrix polynomials", Linear Algebra Appl. | ||
| 17 | 435(3):514-536, 2011. | ||
| 18 | |||
| 19 | [2] C. Campos and J.E. Roman, "Parallel iterative refinement in | ||
| 20 | polynomial eigenvalue problems", Numer. Linear Algebra Appl. 23(4): | ||
| 21 | 730-745, 2016. | ||
| 22 | */ | ||
| 23 | |||
| 24 | #include <slepc/private/pepimpl.h> | ||
| 25 | #include <slepcblaslapack.h> | ||
| 26 | |||
| 27 | typedef struct { | ||
| 28 | Mat *A,M1; | ||
| 29 | BV V,M2,M3,W; | ||
| 30 | PetscInt k,nmat; | ||
| 31 | PetscScalar *fih,*work,*M4; | ||
| 32 | PetscBLASInt *pM4; | ||
| 33 | PetscBool compM1; | ||
| 34 | Vec t; | ||
| 35 | } PEP_REFINE_MATSHELL; | ||
| 36 | |||
| 37 | typedef struct { | ||
| 38 | Mat E[2],M1; | ||
| 39 | Vec tN,ttN,t1,vseq; | ||
| 40 | VecScatter scatterctx; | ||
| 41 | PetscBool compM1; | ||
| 42 | PetscInt *map0,*map1,*idxg,*idxp; | ||
| 43 | PetscSubcomm subc; | ||
| 44 | VecScatter scatter_sub; | ||
| 45 | VecScatter *scatter_id,*scatterp_id; | ||
| 46 | Mat *A; | ||
| 47 | BV V,W,M2,M3,Wt; | ||
| 48 | PetscScalar *M4,*w,*wt,*d,*dt; | ||
| 49 | Vec t,tg,Rv,Vi,tp,tpg; | ||
| 50 | PetscInt idx,*cols; | ||
| 51 | } PEP_REFINE_EXPLICIT; | ||
| 52 | |||
| 53 | 15291 | static PetscErrorCode MatMult_FS(Mat M ,Vec x,Vec y) | |
| 54 | { | ||
| 55 | 15291 | PEP_REFINE_MATSHELL *ctx; | |
| 56 | 15291 | PetscInt k,i; | |
| 57 | 15291 | PetscScalar *c; | |
| 58 | 15291 | PetscBLASInt k_,one=1,info; | |
| 59 | |||
| 60 |
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15291 | PetscFunctionBegin; |
| 61 |
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15291 | PetscCall(MatShellGetContext(M,&ctx)); |
| 62 |
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15291 | PetscCall(VecCopy(x,ctx->t)); |
| 63 | 15291 | k = ctx->k; | |
| 64 | 15291 | c = ctx->work; | |
| 65 |
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15291 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 66 |
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15291 | PetscCall(MatMult(ctx->M1,x,y)); |
| 67 |
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15291 | PetscCall(VecConjugate(ctx->t)); |
| 68 |
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15291 | PetscCall(BVDotVec(ctx->M3,ctx->t,c)); |
| 69 |
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197703 | for (i=0;i<k;i++) c[i] = PetscConj(c[i]); |
| 70 |
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15291 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 71 |
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15291 | PetscCallBLAS("LAPACKgetrs",LAPACKgetrs_("N",&k_,&one,ctx->M4,&k_,ctx->pM4,c,&k_,&info)); |
| 72 |
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15291 | PetscCall(PetscFPTrapPop()); |
| 73 |
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15291 | SlepcCheckLapackInfo("getrs",info); |
| 74 |
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15291 | PetscCall(BVMultVec(ctx->M2,-1.0,1.0,y,c)); |
| 75 |
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3046 | PetscFunctionReturn(PETSC_SUCCESS); |
| 76 | } | ||
| 77 | |||
| 78 | /* | ||
| 79 | Evaluates the first d elements of the polynomial basis | ||
| 80 | on a given matrix H which is considered to be triangular | ||
| 81 | */ | ||
| 82 | 420 | static PetscErrorCode PEPEvaluateBasisforMatrix(PEP pep,PetscInt nm,PetscInt k,PetscScalar *H,PetscInt ldh,PetscScalar *fH) | |
| 83 | { | ||
| 84 | 420 | PetscInt i,j,ldfh=nm*k,off,nmat=pep->nmat; | |
| 85 | 420 | PetscReal *a=pep->pbc,*b=pep->pbc+nmat,*g=pep->pbc+2*nmat,t; | |
| 86 | 420 | PetscScalar corr=0.0,alpha,beta; | |
| 87 | 420 | PetscBLASInt k_,ldh_,ldfh_; | |
| 88 | |||
| 89 |
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420 | PetscFunctionBegin; |
| 90 |
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420 | PetscCall(PetscBLASIntCast(ldh,&ldh_)); |
| 91 |
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420 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 92 |
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420 | PetscCall(PetscBLASIntCast(ldfh,&ldfh_)); |
| 93 |
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420 | PetscCall(PetscArrayzero(fH,nm*k*k)); |
| 94 |
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3675 | if (nm>0) for (j=0;j<k;j++) fH[j+j*ldfh] = 1.0; |
| 95 |
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420 | if (nm>1) { |
| 96 | 420 | t = b[0]/a[0]; | |
| 97 | 420 | off = k; | |
| 98 |
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3675 | for (j=0;j<k;j++) { |
| 99 |
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34440 | for (i=0;i<k;i++) fH[off+i+j*ldfh] = H[i+j*ldh]/a[0]; |
| 100 | 3255 | fH[j+j*ldfh] -= t; | |
| 101 | } | ||
| 102 | } | ||
| 103 |
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840 | for (i=2;i<nm;i++) { |
| 104 | 420 | off = i*k; | |
| 105 |
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420 | if (i==2) { |
| 106 |
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3675 | for (j=0;j<k;j++) { |
| 107 | 3255 | fH[off+j+j*ldfh] = 1.0; | |
| 108 | 3255 | H[j+j*ldh] -= b[1]; | |
| 109 | } | ||
| 110 | } else { | ||
| 111 | ✗ | for (j=0;j<k;j++) { | |
| 112 | ✗ | PetscCall(PetscArraycpy(fH+off+j*ldfh,fH+(i-2)*k+j*ldfh,k)); | |
| 113 | ✗ | H[j+j*ldh] += corr-b[i-1]; | |
| 114 | } | ||
| 115 | } | ||
| 116 | 420 | corr = b[i-1]; | |
| 117 | 420 | beta = -g[i-1]/a[i-1]; | |
| 118 | 420 | alpha = 1/a[i-1]; | |
| 119 |
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420 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&alpha,H,&ldh_,fH+(i-1)*k,&ldfh_,&beta,fH+off,&ldfh_)); |
| 120 | } | ||
| 121 |
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3675 | for (j=0;j<k;j++) H[j+j*ldh] += corr; |
| 122 |
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84 | PetscFunctionReturn(PETSC_SUCCESS); |
| 123 | } | ||
| 124 | |||
| 125 | 655 | static PetscErrorCode NRefSysSetup_shell(PEP pep,PetscInt k,PetscScalar *fH,PetscScalar *S,PetscInt lds,PetscScalar *fh,PetscScalar h,PEP_REFINE_MATSHELL *ctx) | |
| 126 | { | ||
| 127 | 655 | PetscScalar *DHii,*T12,*Tr,*Ts,*array,s,ss,sone=1.0,zero=0.0,*M4=ctx->M4,t,*v,*T; | |
| 128 | 655 | const PetscScalar *m3,*m2; | |
| 129 | 655 | PetscInt i,d,j,nmat=pep->nmat,lda=nmat*k,deg=nmat-1,nloc,ld2,ld3; | |
| 130 | 655 | PetscReal *a=pep->pbc,*b=pep->pbc+nmat,*g=pep->pbc+2*nmat; | |
| 131 | 655 | PetscBLASInt k_,lda_,lds_,nloc_,ld2_,one=1,info; | |
| 132 | 655 | Mat *A=ctx->A,Mk,M1=ctx->M1,P; | |
| 133 | 655 | BV V=ctx->V,M2=ctx->M2,M3=ctx->M3,W=ctx->W; | |
| 134 | 655 | MatStructure str; | |
| 135 | 655 | Vec vc; | |
| 136 | |||
| 137 |
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655 | PetscFunctionBegin; |
| 138 |
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655 | PetscCall(STGetMatStructure(pep->st,&str)); |
| 139 |
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655 | PetscCall(PetscMalloc3(nmat*k*k,&T12,k*k,&Tr,PetscMax(k*k,nmat),&Ts)); |
| 140 | 655 | DHii = T12; | |
| 141 |
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655 | PetscCall(PetscArrayzero(DHii,k*k*nmat)); |
| 142 |
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8640 | for (i=0;i<k;i++) DHii[k+i+i*lda] = 1.0/a[0]; |
| 143 |
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1310 | for (d=2;d<nmat;d++) { |
| 144 |
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8640 | for (j=0;j<k;j++) { |
| 145 |
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111000 | for (i=0;i<k;i++) { |
| 146 | 103015 | DHii[d*k+i+j*lda] = ((h-b[d-1])*DHii[(d-1)*k+i+j*lda]+fH[(d-1)*k+i+j*lda]-g[d-1]*DHii[(d-2)*k+i+j*lda])/(a[d-1]); | |
| 147 | } | ||
| 148 | } | ||
| 149 | } | ||
| 150 | /* T11 */ | ||
| 151 |
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655 | if (!ctx->compM1) { |
| 152 |
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595 | PetscCall(MatCopy(A[0],M1,DIFFERENT_NONZERO_PATTERN)); |
| 153 |
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595 | PetscCall(PEPEvaluateBasis(pep,h,0,Ts,NULL)); |
| 154 |
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1785 | for (j=1;j<nmat;j++) PetscCall(MatAXPY(M1,Ts[j],A[j],str)); |
| 155 | } | ||
| 156 | |||
| 157 | /* T22 */ | ||
| 158 |
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655 | PetscCall(PetscBLASIntCast(lds,&lds_)); |
| 159 |
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655 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 160 |
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655 | PetscCall(PetscBLASIntCast(lda,&lda_)); |
| 161 |
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655 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&k_,&k_,&k_,&sone,S,&lds_,S,&lds_,&zero,Tr,&k_)); |
| 162 |
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1310 | for (i=1;i<deg;i++) { |
| 163 |
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655 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&sone,Tr,&k_,DHii+i*k,&lda_,&zero,Ts,&k_)); |
| 164 |
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655 | s = (i==1)?0.0:1.0; |
| 165 |
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655 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&k_,&k_,&k_,&sone,fH+i*k,&lda_,Ts,&k_,&s,M4,&k_)); |
| 166 | } | ||
| 167 |
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56155 | for (i=0;i<k;i++) for (j=0;j<i;j++) { t=M4[i+j*k];M4[i+j*k]=M4[j+i*k];M4[j+i*k]=t; } |
| 168 | |||
| 169 | /* T12 */ | ||
| 170 |
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655 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&Mk)); |
| 171 |
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1965 | for (i=1;i<nmat;i++) { |
| 172 |
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1310 | PetscCall(MatDenseGetArrayWrite(Mk,&array)); |
| 173 |
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1310 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&sone,S,&lds_,DHii+i*k,&lda_,&zero,array,&k_)); |
| 174 |
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1310 | PetscCall(MatDenseRestoreArrayWrite(Mk,&array)); |
| 175 |
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1310 | PetscCall(BVSetActiveColumns(W,0,k)); |
| 176 |
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1310 | PetscCall(BVMult(W,1.0,0.0,V,Mk)); |
| 177 |
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1310 | if (i==1) PetscCall(BVMatMult(W,A[i],M2)); |
| 178 | else { | ||
| 179 |
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655 | PetscCall(BVMatMult(W,A[i],M3)); /* using M3 as work space */ |
| 180 |
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1310 | PetscCall(BVMult(M2,1.0,1.0,M3,NULL)); |
| 181 | } | ||
| 182 | } | ||
| 183 | |||
| 184 | /* T21 */ | ||
| 185 |
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655 | PetscCall(MatDenseGetArrayWrite(Mk,&array)); |
| 186 |
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1310 | for (i=1;i<deg;i++) { |
| 187 |
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655 | s = (i==1)?0.0:1.0; |
| 188 | 655 | ss = PetscConj(fh[i]); | |
| 189 |
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|
655 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&ss,S,&lds_,fH+i*k,&lda_,&s,array,&k_)); |
| 190 | } | ||
| 191 |
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655 | PetscCall(MatDenseRestoreArrayWrite(Mk,&array)); |
| 192 |
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655 | PetscCall(BVSetActiveColumns(M3,0,k)); |
| 193 |
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655 | PetscCall(BVMult(M3,1.0,0.0,V,Mk)); |
| 194 |
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8640 | for (i=0;i<k;i++) { |
| 195 |
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7985 | PetscCall(BVGetColumn(M3,i,&vc)); |
| 196 |
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7985 | PetscCall(VecConjugate(vc)); |
| 197 |
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7985 | PetscCall(BVRestoreColumn(M3,i,&vc)); |
| 198 | } | ||
| 199 |
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655 | PetscCall(MatDestroy(&Mk)); |
| 200 |
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655 | PetscCall(PetscFree3(T12,Tr,Ts)); |
| 201 | |||
| 202 |
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655 | PetscCall(VecGetLocalSize(ctx->t,&nloc)); |
| 203 |
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655 | PetscCall(PetscBLASIntCast(nloc,&nloc_)); |
| 204 |
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655 | PetscCall(PetscMalloc1(nloc*k,&T)); |
| 205 |
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655 | PetscCall(KSPGetOperators(pep->refineksp,NULL,&P)); |
| 206 |
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655 | if (!ctx->compM1) PetscCall(MatCopy(ctx->M1,P,SAME_NONZERO_PATTERN)); |
| 207 |
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655 | PetscCall(BVGetArrayRead(ctx->M2,&m2)); |
| 208 |
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655 | PetscCall(BVGetLeadingDimension(ctx->M2,&ld2)); |
| 209 |
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655 | PetscCall(PetscBLASIntCast(ld2,&ld2_)); |
| 210 |
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655 | PetscCall(BVGetArrayRead(ctx->M3,&m3)); |
| 211 |
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655 | PetscCall(BVGetLeadingDimension(ctx->M3,&ld3)); |
| 212 |
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655 | PetscCall(VecGetArray(ctx->t,&v)); |
| 213 |
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259855 | for (i=0;i<nloc;i++) for (j=0;j<k;j++) T[j+i*k] = m3[i+j*ld3]; |
| 214 |
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655 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 215 |
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655 | PetscCallBLAS("LAPACKgesv",LAPACKgesv_(&k_,&nloc_,ctx->M4,&k_,ctx->pM4,T,&k_,&info)); |
| 216 |
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655 | PetscCall(PetscFPTrapPop()); |
| 217 |
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655 | SlepcCheckLapackInfo("gesv",info); |
| 218 |
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20305 | for (i=0;i<nloc;i++) v[i] = BLASdot_(&k_,m2+i,&ld2_,T+i*k,&one); |
| 219 |
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655 | PetscCall(VecRestoreArray(ctx->t,&v)); |
| 220 |
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655 | PetscCall(BVRestoreArrayRead(ctx->M2,&m2)); |
| 221 |
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655 | PetscCall(BVRestoreArrayRead(ctx->M3,&m3)); |
| 222 |
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655 | PetscCall(MatDiagonalSet(P,ctx->t,ADD_VALUES)); |
| 223 |
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655 | PetscCall(PetscFree(T)); |
| 224 |
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655 | PetscCall(KSPSetUp(pep->refineksp)); |
| 225 |
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131 | PetscFunctionReturn(PETSC_SUCCESS); |
| 226 | } | ||
| 227 | |||
| 228 | 655 | static PetscErrorCode NRefSysSolve_shell(KSP ksp,PetscInt nmat,Vec Rv,PetscScalar *Rh,PetscInt k,Vec dVi,PetscScalar *dHi) | |
| 229 | { | ||
| 230 | 655 | PetscScalar *t0; | |
| 231 | 655 | PetscBLASInt k_,one=1,info,lda_; | |
| 232 | 655 | PetscInt i,lda=nmat*k; | |
| 233 | 655 | Mat M; | |
| 234 | 655 | PEP_REFINE_MATSHELL *ctx; | |
| 235 | |||
| 236 |
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655 | PetscFunctionBegin; |
| 237 |
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655 | PetscCall(KSPGetOperators(ksp,&M,NULL)); |
| 238 |
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655 | PetscCall(MatShellGetContext(M,&ctx)); |
| 239 |
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655 | PetscCall(PetscCalloc1(k,&t0)); |
| 240 |
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655 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 241 |
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655 | PetscCall(PetscBLASIntCast(lda,&lda_)); |
| 242 |
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655 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 243 |
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8640 | for (i=0;i<k;i++) t0[i] = Rh[i]; |
| 244 |
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655 | PetscCallBLAS("LAPACKgetrs",LAPACKgetrs_("N",&k_,&one,ctx->M4,&k_,ctx->pM4,t0,&k_,&info)); |
| 245 |
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655 | SlepcCheckLapackInfo("getrs",info); |
| 246 |
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655 | PetscCall(BVMultVec(ctx->M2,-1.0,1.0,Rv,t0)); |
| 247 |
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655 | PetscCall(KSPSolve(ksp,Rv,dVi)); |
| 248 |
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655 | PetscCall(VecConjugate(dVi)); |
| 249 |
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655 | PetscCall(BVDotVec(ctx->M3,dVi,dHi)); |
| 250 |
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655 | PetscCall(VecConjugate(dVi)); |
| 251 |
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8640 | for (i=0;i<k;i++) dHi[i] = Rh[i]-PetscConj(dHi[i]); |
| 252 |
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655 | PetscCallBLAS("LAPACKgetrs",LAPACKgetrs_("N",&k_,&one,ctx->M4,&k_,ctx->pM4,dHi,&k_,&info)); |
| 253 |
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655 | SlepcCheckLapackInfo("getrs",info); |
| 254 |
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655 | PetscCall(PetscFPTrapPop()); |
| 255 |
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655 | PetscCall(PetscFree(t0)); |
| 256 |
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131 | PetscFunctionReturn(PETSC_SUCCESS); |
| 257 | } | ||
| 258 | |||
| 259 | /* | ||
| 260 | Computes the residual P(H,V*S)*e_j for the polynomial | ||
| 261 | */ | ||
| 262 | 1085 | static PetscErrorCode NRefRightSide(PetscInt nmat,PetscReal *pcf,Mat *A,PetscInt k,BV V,PetscScalar *S,PetscInt lds,PetscInt j,PetscScalar *H,PetscInt ldh,PetscScalar *fH,PetscScalar *DfH,PetscScalar *dH,BV dV,PetscScalar *dVS,PetscInt rds,Vec Rv,PetscScalar *Rh,BV W,Vec t) | |
| 263 | { | ||
| 264 | 1085 | PetscScalar *DS0,*DS1,*F,beta=0.0,sone=1.0,none=-1.0,tt=0.0,*h,zero=0.0,*Z,*c0; | |
| 265 | 1085 | PetscReal *a=pcf,*b=pcf+nmat,*g=b+nmat; | |
| 266 | 1085 | PetscInt i,ii,jj,lda; | |
| 267 | 1085 | PetscBLASInt lda_,k_,ldh_,lds_,nmat_,k2_,krds_,j_,one=1; | |
| 268 | 1085 | Mat M0; | |
| 269 | 1085 | Vec w; | |
| 270 | |||
| 271 |
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1085 | PetscFunctionBegin; |
| 272 |
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1085 | PetscCall(PetscMalloc4(k*nmat,&h,k*k,&DS0,k*k,&DS1,k*k,&Z)); |
| 273 | 1085 | lda = k*nmat; | |
| 274 |
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1085 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 275 |
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1085 | PetscCall(PetscBLASIntCast(lds,&lds_)); |
| 276 |
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1085 | PetscCall(PetscBLASIntCast(lda,&lda_)); |
| 277 |
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1085 | PetscCall(PetscBLASIntCast(nmat,&nmat_)); |
| 278 |
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1085 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&nmat_,&k_,&sone,S,&lds_,fH+j*lda,&k_,&zero,h,&k_)); |
| 279 |
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1085 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,nmat,h,&M0)); |
| 280 |
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1085 | PetscCall(BVSetActiveColumns(W,0,nmat)); |
| 281 |
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1085 | PetscCall(BVMult(W,1.0,0.0,V,M0)); |
| 282 |
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1085 | PetscCall(MatDestroy(&M0)); |
| 283 | |||
| 284 |
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1085 | PetscCall(BVGetColumn(W,0,&w)); |
| 285 |
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1085 | PetscCall(MatMult(A[0],w,Rv)); |
| 286 |
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1085 | PetscCall(BVRestoreColumn(W,0,&w)); |
| 287 |
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3255 | for (i=1;i<nmat;i++) { |
| 288 |
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2170 | PetscCall(BVGetColumn(W,i,&w)); |
| 289 |
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2170 | PetscCall(MatMult(A[i],w,t)); |
| 290 |
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2170 | PetscCall(BVRestoreColumn(W,i,&w)); |
| 291 |
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2170 | PetscCall(VecAXPY(Rv,1.0,t)); |
| 292 | } | ||
| 293 | /* Update right-hand side */ | ||
| 294 |
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1085 | if (j) { |
| 295 |
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945 | PetscCall(PetscBLASIntCast(ldh,&ldh_)); |
| 296 |
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945 | PetscCall(PetscArrayzero(Z,k*k)); |
| 297 |
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945 | PetscCall(PetscArrayzero(DS0,k*k)); |
| 298 |
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945 | PetscCall(PetscArraycpy(Z+(j-1)*k,dH+(j-1)*k,k)); |
| 299 | /* Update DfH */ | ||
| 300 |
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2835 | for (i=1;i<nmat;i++) { |
| 301 |
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1890 | if (i>1) { |
| 302 | 945 | beta = -g[i-1]; | |
| 303 |
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945 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&sone,fH+(i-1)*k,&lda_,Z,&k_,&beta,DS0,&k_)); |
| 304 | 945 | tt += -b[i-1]; | |
| 305 |
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10255 | for (ii=0;ii<k;ii++) H[ii+ii*ldh] += tt; |
| 306 | 945 | tt = b[i-1]; | |
| 307 | 945 | beta = 1.0/a[i-1]; | |
| 308 |
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945 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&beta,DS1,&k_,H,&ldh_,&beta,DS0,&k_)); |
| 309 | 945 | F = DS0; DS0 = DS1; DS1 = F; | |
| 310 | } else { | ||
| 311 |
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945 | PetscCall(PetscArrayzero(DS1,k*k)); |
| 312 |
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10255 | for (ii=0;ii<k;ii++) DS1[ii+(j-1)*k] = Z[ii+(j-1)*k]/a[0]; |
| 313 | } | ||
| 314 |
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11200 | for (jj=j;jj<k;jj++) { |
| 315 |
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|
115920 | for (ii=0;ii<k;ii++) DfH[k*i+ii+jj*lda] += DS1[ii+jj*k]; |
| 316 | } | ||
| 317 | } | ||
| 318 |
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10255 | for (ii=0;ii<k;ii++) H[ii+ii*ldh] += tt; |
| 319 | /* Update right-hand side */ | ||
| 320 |
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945 | PetscCall(PetscBLASIntCast(2*k,&k2_)); |
| 321 |
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945 | PetscCall(PetscBLASIntCast(j,&j_)); |
| 322 |
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|
945 | PetscCall(PetscBLASIntCast(k+rds,&krds_)); |
| 323 | 945 | c0 = DS0; | |
| 324 |
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945 | PetscCall(PetscArrayzero(Rh,k)); |
| 325 |
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3780 | for (i=0;i<nmat;i++) { |
| 326 |
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|
2835 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&krds_,&j_,&sone,dVS,&k2_,fH+j*lda+i*k,&one,&zero,h,&one)); |
| 327 |
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|
2835 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&k_,&k_,&sone,S,&lds_,DfH+i*k+j*lda,&one,&sone,h,&one)); |
| 328 |
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2835 | PetscCall(BVMultVec(V,1.0,0.0,t,h)); |
| 329 |
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2835 | PetscCall(BVSetActiveColumns(dV,0,rds)); |
| 330 |
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2835 | PetscCall(BVMultVec(dV,1.0,1.0,t,h+k)); |
| 331 |
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2835 | PetscCall(BVGetColumn(W,i,&w)); |
| 332 |
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2835 | PetscCall(MatMult(A[i],t,w)); |
| 333 |
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2835 | PetscCall(BVRestoreColumn(W,i,&w)); |
| 334 |
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2835 | if (i>0 && i<nmat-1) { |
| 335 |
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|
945 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&k_,&k_,&sone,S,&lds_,h,&one,&zero,c0,&one)); |
| 336 |
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|
2835 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&k_,&k_,&none,fH+i*k,&lda_,c0,&one,&sone,Rh,&one)); |
| 337 | } | ||
| 338 | } | ||
| 339 | |||
| 340 |
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3780 | for (i=0;i<nmat;i++) h[i] = -1.0; |
| 341 |
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945 | PetscCall(BVMultVec(W,1.0,1.0,Rv,h)); |
| 342 | } | ||
| 343 |
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1085 | PetscCall(PetscFree4(h,DS0,DS1,Z)); |
| 344 |
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|
217 | PetscFunctionReturn(PETSC_SUCCESS); |
| 345 | } | ||
| 346 | |||
| 347 | 2055 | static PetscErrorCode NRefSysSolve_mbe(PetscInt k,PetscInt sz,BV W,PetscScalar *w,BV Wt,PetscScalar *wt,PetscScalar *d,PetscScalar *dt,KSP ksp,BV T2,BV T3 ,PetscScalar *T4,PetscBool trans,Vec x1,PetscScalar *x2,Vec sol1,PetscScalar *sol2,Vec vw) | |
| 348 | { | ||
| 349 | 2055 | PetscInt i,j,incf,incc; | |
| 350 | 2055 | PetscScalar *y,*g,*xx2,*ww,y2,*dd; | |
| 351 | 2055 | Vec v,t,xx1; | |
| 352 | 2055 | BV WW,T; | |
| 353 | |||
| 354 |
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2055 | PetscFunctionBegin; |
| 355 |
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2055 | PetscCall(PetscMalloc3(sz,&y,sz,&g,k,&xx2)); |
| 356 |
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2055 | if (trans) { |
| 357 | WW = W; ww = w; dd = d; T = T3; incf = 0; incc = 1; | ||
| 358 | } else { | ||
| 359 | 1110 | WW = Wt; ww = wt; dd = dt; T = T2; incf = 1; incc = 0; | |
| 360 | } | ||
| 361 | 2055 | xx1 = vw; | |
| 362 |
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2055 | PetscCall(VecCopy(x1,xx1)); |
| 363 |
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2055 | PetscCall(PetscArraycpy(xx2,x2,sz)); |
| 364 |
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2055 | PetscCall(PetscArrayzero(sol2,k)); |
| 365 |
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7650 | for (i=sz-1;i>=0;i--) { |
| 366 |
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5595 | PetscCall(BVGetColumn(WW,i,&v)); |
| 367 |
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5595 | PetscCall(VecConjugate(v)); |
| 368 |
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5595 | PetscCall(VecDot(xx1,v,y+i)); |
| 369 |
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5595 | PetscCall(VecConjugate(v)); |
| 370 |
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5595 | PetscCall(BVRestoreColumn(WW,i,&v)); |
| 371 |
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14290 | for (j=0;j<i;j++) y[i] += ww[j+i*k]*xx2[j]; |
| 372 | 5595 | y[i] = -(y[i]-xx2[i])/dd[i]; | |
| 373 |
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5595 | PetscCall(BVGetColumn(T,i,&t)); |
| 374 |
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5595 | PetscCall(VecAXPY(xx1,-y[i],t)); |
| 375 |
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5595 | PetscCall(BVRestoreColumn(T,i,&t)); |
| 376 |
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|
19885 | for (j=0;j<=i;j++) xx2[j] -= y[i]*T4[j*incf+incc*i+(i*incf+incc*j)*k]; |
| 377 | 5595 | g[i] = xx2[i]; | |
| 378 | } | ||
| 379 |
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2055 | if (trans) PetscCall(KSPSolveTranspose(ksp,xx1,sol1)); |
| 380 |
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1110 | else PetscCall(KSPSolve(ksp,xx1,sol1)); |
| 381 |
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2055 | if (trans) { |
| 382 | WW = Wt; ww = wt; dd = dt; T = T2; incf = 1; incc = 0; | ||
| 383 | } else { | ||
| 384 | 1110 | WW = W; ww = w; dd = d; T = T3; incf = 0; incc = 1; | |
| 385 | } | ||
| 386 |
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7650 | for (i=0;i<sz;i++) { |
| 387 |
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5595 | PetscCall(BVGetColumn(T,i,&t)); |
| 388 |
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5595 | PetscCall(VecConjugate(t)); |
| 389 |
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5595 | PetscCall(VecDot(sol1,t,&y2)); |
| 390 |
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5595 | PetscCall(VecConjugate(t)); |
| 391 |
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5595 | PetscCall(BVRestoreColumn(T,i,&t)); |
| 392 |
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14290 | for (j=0;j<i;j++) y2 += sol2[j]*T4[j*incf+incc*i+(i*incf+incc*j)*k]; |
| 393 | 5595 | y2 = (g[i]-y2)/dd[i]; | |
| 394 |
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5595 | PetscCall(BVGetColumn(WW,i,&v)); |
| 395 |
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5595 | PetscCall(VecAXPY(sol1,-y2,v)); |
| 396 |
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14290 | for (j=0;j<i;j++) sol2[j] -= ww[j+i*k]*y2; |
| 397 | 5595 | sol2[i] = y[i]+y2; | |
| 398 |
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5595 | PetscCall(BVRestoreColumn(WW,i,&v)); |
| 399 | } | ||
| 400 |
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2055 | PetscCall(PetscFree3(y,g,xx2)); |
| 401 |
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|
411 | PetscFunctionReturn(PETSC_SUCCESS); |
| 402 | } | ||
| 403 | |||
| 404 | 165 | static PetscErrorCode NRefSysSetup_mbe(PEP pep,PetscInt k,KSP ksp,PetscScalar *fH,PetscScalar *S,PetscInt lds,PetscScalar *fh,PetscScalar h,BV V,PEP_REFINE_EXPLICIT *matctx) | |
| 405 | { | ||
| 406 | 165 | PetscInt i,j,l,nmat=pep->nmat,lda=nmat*k,deg=nmat-1; | |
| 407 | 165 | Mat M1=matctx->M1,*A,*At,Mk; | |
| 408 | 165 | PetscReal *a=pep->pbc,*b=pep->pbc+nmat,*g=pep->pbc+2*nmat; | |
| 409 | 165 | PetscScalar s,ss,*DHii,*T12,*array,*Ts,*Tr,*M4=matctx->M4,sone=1.0,zero=0.0; | |
| 410 | 165 | PetscScalar *w=matctx->w,*wt=matctx->wt,*d=matctx->d,*dt=matctx->dt; | |
| 411 | 165 | PetscBLASInt lds_,lda_,k_; | |
| 412 | 165 | MatStructure str; | |
| 413 | 165 | PetscBool flg; | |
| 414 | 165 | BV M2=matctx->M2,M3=matctx->M3,W=matctx->W,Wt=matctx->Wt; | |
| 415 | 165 | Vec vc,vc2; | |
| 416 | |||
| 417 |
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165 | PetscFunctionBegin; |
| 418 |
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165 | PetscCall(PetscMalloc3(nmat*k*k,&T12,k*k,&Tr,PetscMax(k*k,nmat),&Ts)); |
| 419 |
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165 | PetscCall(STGetMatStructure(pep->st,&str)); |
| 420 |
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165 | PetscCall(STGetTransform(pep->st,&flg)); |
| 421 |
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165 | if (flg) { |
| 422 |
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65 | PetscCall(PetscMalloc1(pep->nmat,&At)); |
| 423 |
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260 | for (i=0;i<pep->nmat;i++) PetscCall(STGetMatrixTransformed(pep->st,i,&At[i])); |
| 424 | 100 | } else At = pep->A; | |
| 425 |
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165 | if (matctx->subc) A = matctx->A; |
| 426 | 115 | else A = At; | |
| 427 | /* Form the explicit system matrix */ | ||
| 428 | 165 | DHii = T12; | |
| 429 |
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165 | PetscCall(PetscArrayzero(DHii,k*k*nmat)); |
| 430 |
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1110 | for (i=0;i<k;i++) DHii[k+i+i*lda] = 1.0/a[0]; |
| 431 |
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330 | for (l=2;l<nmat;l++) { |
| 432 |
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1110 | for (j=0;j<k;j++) { |
| 433 |
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6540 | for (i=0;i<k;i++) { |
| 434 | 5595 | DHii[l*k+i+j*lda] = ((h-b[l-1])*DHii[(l-1)*k+i+j*lda]+fH[(l-1)*k+i+j*lda]-g[l-1]*DHii[(l-2)*k+i+j*lda])/a[l-1]; | |
| 435 | } | ||
| 436 | } | ||
| 437 | } | ||
| 438 | |||
| 439 | /* T11 */ | ||
| 440 |
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165 | if (!matctx->compM1) { |
| 441 |
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125 | PetscCall(MatCopy(A[0],M1,DIFFERENT_NONZERO_PATTERN)); |
| 442 |
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125 | PetscCall(PEPEvaluateBasis(pep,h,0,Ts,NULL)); |
| 443 |
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375 | for (j=1;j<nmat;j++) PetscCall(MatAXPY(M1,Ts[j],A[j],str)); |
| 444 | } | ||
| 445 | |||
| 446 | /* T22 */ | ||
| 447 |
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165 | PetscCall(PetscBLASIntCast(lds,&lds_)); |
| 448 |
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165 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 449 |
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165 | PetscCall(PetscBLASIntCast(lda,&lda_)); |
| 450 |
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165 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&k_,&k_,&k_,&sone,S,&lds_,S,&lds_,&zero,Tr,&k_)); |
| 451 |
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330 | for (i=1;i<deg;i++) { |
| 452 |
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165 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&sone,Tr,&k_,DHii+i*k,&lda_,&zero,Ts,&k_)); |
| 453 |
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165 | s = (i==1)?0.0:1.0; |
| 454 |
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165 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&k_,&k_,&k_,&sone,fH+i*k,&lda_,Ts,&k_,&s,M4,&k_)); |
| 455 | } | ||
| 456 | |||
| 457 | /* T12 */ | ||
| 458 |
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165 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&Mk)); |
| 459 |
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495 | for (i=1;i<nmat;i++) { |
| 460 |
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330 | PetscCall(MatDenseGetArrayWrite(Mk,&array)); |
| 461 |
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330 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&sone,S,&lds_,DHii+i*k,&lda_,&zero,array,&k_)); |
| 462 |
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330 | PetscCall(MatDenseRestoreArrayWrite(Mk,&array)); |
| 463 |
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330 | PetscCall(BVSetActiveColumns(W,0,k)); |
| 464 |
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330 | PetscCall(BVMult(W,1.0,0.0,V,Mk)); |
| 465 |
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330 | if (i==1) PetscCall(BVMatMult(W,A[i],M2)); |
| 466 | else { | ||
| 467 |
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165 | PetscCall(BVMatMult(W,A[i],M3)); /* using M3 as work space */ |
| 468 |
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330 | PetscCall(BVMult(M2,1.0,1.0,M3,NULL)); |
| 469 | } | ||
| 470 | } | ||
| 471 | |||
| 472 | /* T21 */ | ||
| 473 |
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165 | PetscCall(MatDenseGetArrayWrite(Mk,&array)); |
| 474 |
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330 | for (i=1;i<deg;i++) { |
| 475 |
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165 | s = (i==1)?0.0:1.0; |
| 476 | 165 | ss = PetscConj(fh[i]); | |
| 477 |
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165 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&ss,S,&lds_,fH+i*k,&lda_,&s,array,&k_)); |
| 478 | } | ||
| 479 |
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165 | PetscCall(MatDenseRestoreArrayWrite(Mk,&array)); |
| 480 |
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165 | PetscCall(BVSetActiveColumns(M3,0,k)); |
| 481 |
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165 | PetscCall(BVMult(M3,1.0,0.0,V,Mk)); |
| 482 |
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1110 | for (i=0;i<k;i++) { |
| 483 |
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945 | PetscCall(BVGetColumn(M3,i,&vc)); |
| 484 |
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945 | PetscCall(VecConjugate(vc)); |
| 485 |
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945 | PetscCall(BVRestoreColumn(M3,i,&vc)); |
| 486 | } | ||
| 487 | |||
| 488 |
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165 | PetscCall(PEP_KSPSetOperators(ksp,M1,M1)); |
| 489 |
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165 | PetscCall(KSPSetUp(ksp)); |
| 490 |
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165 | PetscCall(MatDestroy(&Mk)); |
| 491 | |||
| 492 | /* Set up for BEMW */ | ||
| 493 |
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1110 | for (i=0;i<k;i++) { |
| 494 |
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945 | PetscCall(BVGetColumn(M2,i,&vc)); |
| 495 |
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945 | PetscCall(BVGetColumn(W,i,&vc2)); |
| 496 |
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945 | PetscCall(NRefSysSolve_mbe(k,i,W,w,Wt,wt,d,dt,ksp,M2,M3,M4,PETSC_FALSE,vc,M4+i*k,vc2,w+i*k,matctx->t)); |
| 497 |
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945 | PetscCall(BVRestoreColumn(M2,i,&vc)); |
| 498 |
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945 | PetscCall(BVGetColumn(M3,i,&vc)); |
| 499 |
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945 | PetscCall(VecConjugate(vc)); |
| 500 |
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945 | PetscCall(VecDot(vc2,vc,&d[i])); |
| 501 |
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945 | PetscCall(VecConjugate(vc)); |
| 502 |
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945 | PetscCall(BVRestoreColumn(M3,i,&vc)); |
| 503 |
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3270 | for (j=0;j<i;j++) d[i] += M4[i+j*k]*w[j+i*k]; |
| 504 | 945 | d[i] = M4[i+i*k]-d[i]; | |
| 505 |
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945 | PetscCall(BVRestoreColumn(W,i,&vc2)); |
| 506 | |||
| 507 |
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945 | PetscCall(BVGetColumn(M3,i,&vc)); |
| 508 |
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945 | PetscCall(BVGetColumn(Wt,i,&vc2)); |
| 509 |
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4215 | for (j=0;j<=i;j++) Ts[j] = M4[i+j*k]; |
| 510 |
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945 | PetscCall(NRefSysSolve_mbe(k,i,W,w,Wt,wt,d,dt,ksp,M2,M3,M4,PETSC_TRUE,vc,Ts,vc2,wt+i*k,matctx->t)); |
| 511 |
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945 | PetscCall(BVRestoreColumn(M3,i,&vc)); |
| 512 |
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945 | PetscCall(BVGetColumn(M2,i,&vc)); |
| 513 |
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945 | PetscCall(VecConjugate(vc2)); |
| 514 |
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945 | PetscCall(VecDot(vc,vc2,&dt[i])); |
| 515 |
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945 | PetscCall(VecConjugate(vc2)); |
| 516 |
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945 | PetscCall(BVRestoreColumn(M2,i,&vc)); |
| 517 |
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3270 | for (j=0;j<i;j++) dt[i] += M4[j+i*k]*wt[j+i*k]; |
| 518 | 945 | dt[i] = M4[i+i*k]-dt[i]; | |
| 519 |
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945 | PetscCall(BVRestoreColumn(Wt,i,&vc2)); |
| 520 | } | ||
| 521 | |||
| 522 |
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165 | if (flg) PetscCall(PetscFree(At)); |
| 523 |
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165 | PetscCall(PetscFree3(T12,Tr,Ts)); |
| 524 |
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|
33 | PetscFunctionReturn(PETSC_SUCCESS); |
| 525 | } | ||
| 526 | |||
| 527 | 165 | static PetscErrorCode NRefSysSetup_explicit(PEP pep,PetscInt k,KSP ksp,PetscScalar *fH,PetscScalar *S,PetscInt lds,PetscScalar *fh,PetscScalar h,BV V,PEP_REFINE_EXPLICIT *matctx,BV W) | |
| 528 | { | ||
| 529 | 165 | PetscInt i,j,d,n,n0,m0,n1,m1,nmat=pep->nmat,lda=nmat*k,deg=nmat-1; | |
| 530 | 165 | PetscInt *idxg=matctx->idxg,*idxp=matctx->idxp,idx,ncols; | |
| 531 | 165 | Mat M,*E=matctx->E,*A,*At,Mk,Md; | |
| 532 | 165 | PetscReal *a=pep->pbc,*b=pep->pbc+nmat,*g=pep->pbc+2*nmat; | |
| 533 | 165 | PetscScalar s,ss,*DHii,*T22,*T21,*T12,*Ts,*Tr,*array,*ts,sone=1.0,zero=0.0; | |
| 534 | 165 | PetscBLASInt lds_,lda_,k_; | |
| 535 | 165 | const PetscInt *idxmc; | |
| 536 | 165 | const PetscScalar *valsc,*carray; | |
| 537 | 165 | MatStructure str; | |
| 538 | 165 | Vec vc,vc0; | |
| 539 | 165 | PetscBool flg; | |
| 540 | |||
| 541 |
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165 | PetscFunctionBegin; |
| 542 |
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165 | PetscCall(PetscMalloc5(k*k,&T22,k*k,&T21,nmat*k*k,&T12,k*k,&Tr,k*k,&Ts)); |
| 543 |
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165 | PetscCall(STGetMatStructure(pep->st,&str)); |
| 544 |
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165 | PetscCall(KSPGetOperators(ksp,&M,NULL)); |
| 545 |
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165 | PetscCall(MatGetOwnershipRange(E[1],&n1,&m1)); |
| 546 |
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165 | PetscCall(MatGetOwnershipRange(E[0],&n0,&m0)); |
| 547 |
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165 | PetscCall(MatGetOwnershipRange(M,&n,NULL)); |
| 548 |
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165 | PetscCall(PetscMalloc1(nmat,&ts)); |
| 549 |
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165 | PetscCall(STGetTransform(pep->st,&flg)); |
| 550 |
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165 | if (flg) { |
| 551 |
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65 | PetscCall(PetscMalloc1(pep->nmat,&At)); |
| 552 |
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|
260 | for (i=0;i<pep->nmat;i++) PetscCall(STGetMatrixTransformed(pep->st,i,&At[i])); |
| 553 | 100 | } else At = pep->A; | |
| 554 |
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|
165 | if (matctx->subc) A = matctx->A; |
| 555 | 115 | else A = At; | |
| 556 | /* Form the explicit system matrix */ | ||
| 557 | 165 | DHii = T12; | |
| 558 |
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165 | PetscCall(PetscArrayzero(DHii,k*k*nmat)); |
| 559 |
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1110 | for (i=0;i<k;i++) DHii[k+i+i*lda] = 1.0/a[0]; |
| 560 |
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330 | for (d=2;d<nmat;d++) { |
| 561 |
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1110 | for (j=0;j<k;j++) { |
| 562 |
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6540 | for (i=0;i<k;i++) { |
| 563 | 5595 | DHii[d*k+i+j*lda] = ((h-b[d-1])*DHii[(d-1)*k+i+j*lda]+fH[(d-1)*k+i+j*lda]-g[d-1]*DHii[(d-2)*k+i+j*lda])/a[d-1]; | |
| 564 | } | ||
| 565 | } | ||
| 566 | } | ||
| 567 | |||
| 568 | /* T11 */ | ||
| 569 |
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165 | if (!matctx->compM1) { |
| 570 |
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125 | PetscCall(MatCopy(A[0],E[0],DIFFERENT_NONZERO_PATTERN)); |
| 571 |
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125 | PetscCall(PEPEvaluateBasis(pep,h,0,Ts,NULL)); |
| 572 |
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|
375 | for (j=1;j<nmat;j++) PetscCall(MatAXPY(E[0],Ts[j],A[j],str)); |
| 573 | } | ||
| 574 |
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5115 | for (i=n0;i<m0;i++) { |
| 575 |
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4950 | PetscCall(MatGetRow(E[0],i,&ncols,&idxmc,&valsc)); |
| 576 | 4950 | idx = n+i-n0; | |
| 577 |
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19470 | for (j=0;j<ncols;j++) { |
| 578 | 14520 | idxg[j] = matctx->map0[idxmc[j]]; | |
| 579 | } | ||
| 580 |
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4950 | PetscCall(MatSetValues(M,1,&idx,ncols,idxg,valsc,INSERT_VALUES)); |
| 581 |
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4950 | PetscCall(MatRestoreRow(E[0],i,&ncols,&idxmc,&valsc)); |
| 582 | } | ||
| 583 | |||
| 584 | /* T22 */ | ||
| 585 |
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165 | PetscCall(PetscBLASIntCast(lds,&lds_)); |
| 586 |
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165 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 587 |
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165 | PetscCall(PetscBLASIntCast(lda,&lda_)); |
| 588 |
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|
165 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&k_,&k_,&k_,&sone,S,&lds_,S,&lds_,&zero,Tr,&k_)); |
| 589 |
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330 | for (i=1;i<deg;i++) { |
| 590 |
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165 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&sone,Tr,&k_,DHii+i*k,&lda_,&zero,Ts,&k_)); |
| 591 |
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165 | s = (i==1)?0.0:1.0; |
| 592 |
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165 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&k_,&k_,&k_,&sone,fH+i*k,&lda_,Ts,&k_,&s,T22,&k_)); |
| 593 | } | ||
| 594 |
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1110 | for (j=0;j<k;j++) idxp[j] = matctx->map1[j]; |
| 595 |
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1110 | for (i=0;i<m1-n1;i++) { |
| 596 | 945 | idx = n+m0-n0+i; | |
| 597 |
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6540 | for (j=0;j<k;j++) { |
| 598 | 5595 | Tr[j] = T22[n1+i+j*k]; | |
| 599 | } | ||
| 600 |
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945 | PetscCall(MatSetValues(M,1,&idx,k,idxp,Tr,INSERT_VALUES)); |
| 601 | } | ||
| 602 | |||
| 603 | /* T21 */ | ||
| 604 |
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330 | for (i=1;i<deg;i++) { |
| 605 |
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165 | s = (i==1)?0.0:1.0; |
| 606 | 165 | ss = PetscConj(fh[i]); | |
| 607 |
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165 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&ss,S,&lds_,fH+i*k,&lda_,&s,T21,&k_)); |
| 608 | } | ||
| 609 |
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165 | PetscCall(BVSetActiveColumns(W,0,k)); |
| 610 |
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165 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,T21,&Mk)); |
| 611 |
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165 | PetscCall(BVMult(W,1.0,0.0,V,Mk)); |
| 612 |
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1110 | for (i=0;i<k;i++) { |
| 613 |
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945 | PetscCall(BVGetColumn(W,i,&vc)); |
| 614 |
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945 | PetscCall(VecConjugate(vc)); |
| 615 |
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945 | PetscCall(VecGetArrayRead(vc,&carray)); |
| 616 | 945 | idx = matctx->map1[i]; | |
| 617 |
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945 | PetscCall(MatSetValues(M,1,&idx,m0-n0,matctx->map0+n0,carray,INSERT_VALUES)); |
| 618 |
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945 | PetscCall(VecRestoreArrayRead(vc,&carray)); |
| 619 |
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945 | PetscCall(BVRestoreColumn(W,i,&vc)); |
| 620 | } | ||
| 621 | |||
| 622 | /* T12 */ | ||
| 623 |
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495 | for (i=1;i<nmat;i++) { |
| 624 |
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|
330 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&sone,S,&lds_,DHii+i*k,&lda_,&zero,Ts,&k_)); |
| 625 |
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|
2220 | for (j=0;j<k;j++) PetscCall(PetscArraycpy(T12+i*k+j*lda,Ts+j*k,k)); |
| 626 | } | ||
| 627 |
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165 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,nmat-1,NULL,&Md)); |
| 628 |
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660 | for (i=0;i<nmat;i++) ts[i] = 1.0; |
| 629 |
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1110 | for (j=0;j<k;j++) { |
| 630 |
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945 | PetscCall(MatDenseGetArrayWrite(Md,&array)); |
| 631 |
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945 | PetscCall(PetscArraycpy(array,T12+k+j*lda,(nmat-1)*k)); |
| 632 |
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945 | PetscCall(MatDenseRestoreArrayWrite(Md,&array)); |
| 633 |
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945 | PetscCall(BVSetActiveColumns(W,0,nmat-1)); |
| 634 |
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945 | PetscCall(BVMult(W,1.0,0.0,V,Md)); |
| 635 |
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2835 | for (i=nmat-1;i>0;i--) { |
| 636 |
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1890 | PetscCall(BVGetColumn(W,i-1,&vc0)); |
| 637 |
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1890 | PetscCall(BVGetColumn(W,i,&vc)); |
| 638 |
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1890 | PetscCall(MatMult(A[i],vc0,vc)); |
| 639 |
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1890 | PetscCall(BVRestoreColumn(W,i-1,&vc0)); |
| 640 |
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1890 | PetscCall(BVRestoreColumn(W,i,&vc)); |
| 641 | } | ||
| 642 |
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945 | PetscCall(BVSetActiveColumns(W,1,nmat)); |
| 643 |
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945 | PetscCall(BVGetColumn(W,0,&vc0)); |
| 644 |
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945 | PetscCall(BVMultVec(W,1.0,0.0,vc0,ts)); |
| 645 |
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945 | PetscCall(VecGetArrayRead(vc0,&carray)); |
| 646 | 945 | idx = matctx->map1[j]; | |
| 647 |
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945 | PetscCall(MatSetValues(M,m0-n0,matctx->map0+n0,1,&idx,carray,INSERT_VALUES)); |
| 648 |
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945 | PetscCall(VecRestoreArrayRead(vc0,&carray)); |
| 649 |
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945 | PetscCall(BVRestoreColumn(W,0,&vc0)); |
| 650 | } | ||
| 651 |
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165 | PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY)); |
| 652 |
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165 | PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY)); |
| 653 |
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165 | PetscCall(PEP_KSPSetOperators(ksp,M,M)); |
| 654 |
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165 | PetscCall(KSPSetUp(ksp)); |
| 655 |
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165 | PetscCall(PetscFree(ts)); |
| 656 |
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165 | PetscCall(MatDestroy(&Mk)); |
| 657 |
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165 | PetscCall(MatDestroy(&Md)); |
| 658 |
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165 | if (flg) PetscCall(PetscFree(At)); |
| 659 |
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165 | PetscCall(PetscFree5(T22,T21,T12,Tr,Ts)); |
| 660 |
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|
33 | PetscFunctionReturn(PETSC_SUCCESS); |
| 661 | } | ||
| 662 | |||
| 663 | 165 | static PetscErrorCode NRefSysSolve_explicit(PetscInt k,KSP ksp,Vec Rv,PetscScalar *Rh,Vec dVi,PetscScalar *dHi,PEP_REFINE_EXPLICIT *matctx) | |
| 664 | { | ||
| 665 | 165 | PetscInt n0,m0,n1,m1,i; | |
| 666 | 165 | PetscScalar *arrayV; | |
| 667 | 165 | const PetscScalar *array; | |
| 668 | |||
| 669 |
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165 | PetscFunctionBegin; |
| 670 |
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165 | PetscCall(MatGetOwnershipRange(matctx->E[1],&n1,&m1)); |
| 671 |
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165 | PetscCall(MatGetOwnershipRange(matctx->E[0],&n0,&m0)); |
| 672 | |||
| 673 | /* Right side */ | ||
| 674 |
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165 | PetscCall(VecGetArrayRead(Rv,&array)); |
| 675 |
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165 | PetscCall(VecSetValues(matctx->tN,m0-n0,matctx->map0+n0,array,INSERT_VALUES)); |
| 676 |
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165 | PetscCall(VecRestoreArrayRead(Rv,&array)); |
| 677 |
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165 | PetscCall(VecSetValues(matctx->tN,m1-n1,matctx->map1+n1,Rh+n1,INSERT_VALUES)); |
| 678 |
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165 | PetscCall(VecAssemblyBegin(matctx->tN)); |
| 679 |
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165 | PetscCall(VecAssemblyEnd(matctx->tN)); |
| 680 | |||
| 681 | /* Solve */ | ||
| 682 |
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165 | PetscCall(KSPSolve(ksp,matctx->tN,matctx->ttN)); |
| 683 | |||
| 684 | /* Retrieve solution */ | ||
| 685 |
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165 | PetscCall(VecGetArray(dVi,&arrayV)); |
| 686 |
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165 | PetscCall(VecGetArrayRead(matctx->ttN,&array)); |
| 687 |
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165 | PetscCall(PetscArraycpy(arrayV,array,m0-n0)); |
| 688 |
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165 | PetscCall(VecRestoreArray(dVi,&arrayV)); |
| 689 |
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165 | if (!matctx->subc) { |
| 690 |
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|
115 | PetscCall(VecGetArray(matctx->t1,&arrayV)); |
| 691 |
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800 | for (i=0;i<m1-n1;i++) arrayV[i] = array[m0-n0+i]; |
| 692 |
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115 | PetscCall(VecRestoreArray(matctx->t1,&arrayV)); |
| 693 |
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115 | PetscCall(VecRestoreArrayRead(matctx->ttN,&array)); |
| 694 |
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115 | PetscCall(VecScatterBegin(matctx->scatterctx,matctx->t1,matctx->vseq,INSERT_VALUES,SCATTER_FORWARD)); |
| 695 |
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115 | PetscCall(VecScatterEnd(matctx->scatterctx,matctx->t1,matctx->vseq,INSERT_VALUES,SCATTER_FORWARD)); |
| 696 |
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115 | PetscCall(VecGetArrayRead(matctx->vseq,&array)); |
| 697 |
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800 | for (i=0;i<k;i++) dHi[i] = array[i]; |
| 698 |
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115 | PetscCall(VecRestoreArrayRead(matctx->vseq,&array)); |
| 699 | } | ||
| 700 |
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|
33 | PetscFunctionReturn(PETSC_SUCCESS); |
| 701 | } | ||
| 702 | |||
| 703 | 1085 | static PetscErrorCode NRefSysIter(PetscInt i,PEP pep,PetscInt k,KSP ksp,PetscScalar *fH,PetscScalar *S,PetscInt lds,PetscScalar *fh,PetscScalar *H,PetscInt ldh,Vec Rv,PetscScalar *Rh,BV V,Vec dVi,PetscScalar *dHi,PEP_REFINE_EXPLICIT *matctx,BV W) | |
| 704 | { | ||
| 705 | 1085 | PetscInt j,m,lda=pep->nmat*k,n0,m0,idx; | |
| 706 | 1085 | PetscMPIInt root,len; | |
| 707 | 1085 | PetscScalar *array2,h; | |
| 708 | 1085 | const PetscScalar *array; | |
| 709 | 1085 | Vec R,Vi; | |
| 710 | 1085 | PEP_REFINE_MATSHELL *ctx; | |
| 711 | 1085 | Mat M; | |
| 712 | |||
| 713 |
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1085 | PetscFunctionBegin; |
| 714 |
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1085 | if (!matctx || !matctx->subc) { |
| 715 |
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3540 | for (j=0;j<pep->nmat;j++) fh[j] = fH[j*k+i+i*lda]; |
| 716 | 885 | h = H[i+i*ldh]; | |
| 717 | 885 | idx = i; | |
| 718 | 885 | R = Rv; | |
| 719 | 885 | Vi = dVi; | |
| 720 |
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885 | switch (pep->scheme) { |
| 721 | 115 | case PEP_REFINE_SCHEME_EXPLICIT: | |
| 722 |
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115 | PetscCall(NRefSysSetup_explicit(pep,k,ksp,fH,S,lds,fh,h,V,matctx,W)); |
| 723 | 115 | matctx->compM1 = PETSC_FALSE; | |
| 724 | 115 | break; | |
| 725 | 115 | case PEP_REFINE_SCHEME_MBE: | |
| 726 |
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115 | PetscCall(NRefSysSetup_mbe(pep,k,ksp,fH,S,lds,fh,h,V,matctx)); |
| 727 | 115 | matctx->compM1 = PETSC_FALSE; | |
| 728 | 115 | break; | |
| 729 | 655 | case PEP_REFINE_SCHEME_SCHUR: | |
| 730 |
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655 | PetscCall(KSPGetOperators(ksp,&M,NULL)); |
| 731 |
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655 | PetscCall(MatShellGetContext(M,&ctx)); |
| 732 |
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|
655 | PetscCall(NRefSysSetup_shell(pep,k,fH,S,lds,fh,h,ctx)); |
| 733 | 655 | ctx->compM1 = PETSC_FALSE; | |
| 734 | 655 | break; | |
| 735 | } | ||
| 736 | } else { | ||
| 737 |
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200 | if (i%matctx->subc->n==0 && (idx=i+matctx->subc->color)<k) { |
| 738 |
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400 | for (j=0;j<pep->nmat;j++) fh[j] = fH[j*k+idx+idx*lda]; |
| 739 | 100 | h = H[idx+idx*ldh]; | |
| 740 | 100 | matctx->idx = idx; | |
| 741 |
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100 | switch (pep->scheme) { |
| 742 | 50 | case PEP_REFINE_SCHEME_EXPLICIT: | |
| 743 |
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|
50 | PetscCall(NRefSysSetup_explicit(pep,k,ksp,fH,S,lds,fh,h,matctx->V,matctx,matctx->W)); |
| 744 | 50 | matctx->compM1 = PETSC_FALSE; | |
| 745 | 50 | break; | |
| 746 | 50 | case PEP_REFINE_SCHEME_MBE: | |
| 747 |
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50 | PetscCall(NRefSysSetup_mbe(pep,k,ksp,fH,S,lds,fh,h,matctx->V,matctx)); |
| 748 | 50 | matctx->compM1 = PETSC_FALSE; | |
| 749 | 50 | break; | |
| 750 | case PEP_REFINE_SCHEME_SCHUR: | ||
| 751 | break; | ||
| 752 | } | ||
| 753 | 100 | } else idx = matctx->idx; | |
| 754 |
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|
200 | PetscCall(VecScatterBegin(matctx->scatter_id[i%matctx->subc->n],Rv,matctx->tg,INSERT_VALUES,SCATTER_FORWARD)); |
| 755 |
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200 | PetscCall(VecScatterEnd(matctx->scatter_id[i%matctx->subc->n],Rv,matctx->tg,INSERT_VALUES,SCATTER_FORWARD)); |
| 756 |
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200 | PetscCall(VecGetArrayRead(matctx->tg,&array)); |
| 757 |
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200 | PetscCall(VecPlaceArray(matctx->t,array)); |
| 758 |
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200 | PetscCall(VecCopy(matctx->t,matctx->Rv)); |
| 759 |
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200 | PetscCall(VecResetArray(matctx->t)); |
| 760 |
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|
200 | PetscCall(VecRestoreArrayRead(matctx->tg,&array)); |
| 761 | 200 | R = matctx->Rv; | |
| 762 | 200 | Vi = matctx->Vi; | |
| 763 | } | ||
| 764 |
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1085 | if (idx==i && idx<k) { |
| 765 |
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985 | switch (pep->scheme) { |
| 766 | 165 | case PEP_REFINE_SCHEME_EXPLICIT: | |
| 767 |
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|
165 | PetscCall(NRefSysSolve_explicit(k,ksp,R,Rh,Vi,dHi,matctx)); |
| 768 | break; | ||
| 769 | 165 | case PEP_REFINE_SCHEME_MBE: | |
| 770 |
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|
165 | PetscCall(NRefSysSolve_mbe(k,k,matctx->W,matctx->w,matctx->Wt,matctx->wt,matctx->d,matctx->dt,ksp,matctx->M2,matctx->M3 ,matctx->M4,PETSC_FALSE,R,Rh,Vi,dHi,matctx->t)); |
| 771 | break; | ||
| 772 | 655 | case PEP_REFINE_SCHEME_SCHUR: | |
| 773 |
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|
655 | PetscCall(NRefSysSolve_shell(ksp,pep->nmat,R,Rh,k,Vi,dHi)); |
| 774 | break; | ||
| 775 | } | ||
| 776 | 16 | } | |
| 777 |
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1085 | if (matctx && matctx->subc) { |
| 778 |
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200 | PetscCall(VecGetLocalSize(Vi,&m)); |
| 779 |
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200 | PetscCall(VecGetArrayRead(Vi,&array)); |
| 780 |
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200 | PetscCall(VecGetArray(matctx->tg,&array2)); |
| 781 |
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200 | PetscCall(PetscArraycpy(array2,array,m)); |
| 782 |
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200 | PetscCall(VecRestoreArray(matctx->tg,&array2)); |
| 783 |
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200 | PetscCall(VecRestoreArrayRead(Vi,&array)); |
| 784 |
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|
200 | PetscCall(VecScatterBegin(matctx->scatter_id[i%matctx->subc->n],matctx->tg,dVi,INSERT_VALUES,SCATTER_REVERSE)); |
| 785 |
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|
200 | PetscCall(VecScatterEnd(matctx->scatter_id[i%matctx->subc->n],matctx->tg,dVi,INSERT_VALUES,SCATTER_REVERSE)); |
| 786 |
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200 | switch (pep->scheme) { |
| 787 | 100 | case PEP_REFINE_SCHEME_EXPLICIT: | |
| 788 |
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|
100 | PetscCall(MatGetOwnershipRange(matctx->E[0],&n0,&m0)); |
| 789 |
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100 | PetscCall(VecGetArrayRead(matctx->ttN,&array)); |
| 790 |
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|
100 | PetscCall(VecPlaceArray(matctx->tp,array+m0-n0)); |
| 791 |
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|
100 | PetscCall(VecScatterBegin(matctx->scatterp_id[i%matctx->subc->n],matctx->tp,matctx->tpg,INSERT_VALUES,SCATTER_FORWARD)); |
| 792 |
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100 | PetscCall(VecScatterEnd(matctx->scatterp_id[i%matctx->subc->n],matctx->tp,matctx->tpg,INSERT_VALUES,SCATTER_FORWARD)); |
| 793 |
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|
100 | PetscCall(VecResetArray(matctx->tp)); |
| 794 |
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100 | PetscCall(VecRestoreArrayRead(matctx->ttN,&array)); |
| 795 |
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100 | PetscCall(VecGetArrayRead(matctx->tpg,&array)); |
| 796 |
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620 | for (j=0;j<k;j++) dHi[j] = array[j]; |
| 797 |
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|
100 | PetscCall(VecRestoreArrayRead(matctx->tpg,&array)); |
| 798 | break; | ||
| 799 | case PEP_REFINE_SCHEME_MBE: | ||
| 800 | root = 0; | ||
| 801 |
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150 | for (j=0;j<i%matctx->subc->n;j++) root += matctx->subc->subsize[j]; |
| 802 |
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100 | PetscCall(PetscMPIIntCast(k,&len)); |
| 803 |
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|
200 | PetscCallMPI(MPI_Bcast(dHi,len,MPIU_SCALAR,root,matctx->subc->dupparent)); |
| 804 | break; | ||
| 805 | case PEP_REFINE_SCHEME_SCHUR: | ||
| 806 | break; | ||
| 807 | } | ||
| 808 | 176 | } | |
| 809 |
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|
217 | PetscFunctionReturn(PETSC_SUCCESS); |
| 810 | } | ||
| 811 | |||
| 812 | 140 | static PetscErrorCode PEPNRefForwardSubstitution(PEP pep,PetscInt k,PetscScalar *S,PetscInt lds,PetscScalar *H,PetscInt ldh,PetscScalar *fH,BV dV,PetscScalar *dVS,PetscInt *rds,PetscScalar *dH,PetscInt lddh,KSP ksp,PEP_REFINE_EXPLICIT *matctx) | |
| 813 | { | ||
| 814 | 140 | PetscInt i,nmat=pep->nmat,lda=nmat*k; | |
| 815 | 140 | PetscScalar *fh,*Rh,*DfH; | |
| 816 | 140 | PetscReal norm; | |
| 817 | 140 | BV W; | |
| 818 | 140 | Vec Rv,t,dvi; | |
| 819 | 140 | PEP_REFINE_MATSHELL *ctx; | |
| 820 | 140 | Mat M,*At; | |
| 821 | 140 | PetscBool flg,lindep; | |
| 822 | |||
| 823 |
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140 | PetscFunctionBegin; |
| 824 |
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140 | PetscCall(PetscMalloc2(nmat*k*k,&DfH,k,&Rh)); |
| 825 | 140 | *rds = 0; | |
| 826 |
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140 | PetscCall(BVCreateVec(pep->V,&Rv)); |
| 827 |
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140 | switch (pep->scheme) { |
| 828 | 40 | case PEP_REFINE_SCHEME_EXPLICIT: | |
| 829 |
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40 | PetscCall(BVCreateVec(pep->V,&t)); |
| 830 |
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40 | PetscCall(BVDuplicateResize(pep->V,PetscMax(k,nmat),&W)); |
| 831 |
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|
40 | PetscCall(PetscMalloc1(nmat,&fh)); |
| 832 | break; | ||
| 833 | 40 | case PEP_REFINE_SCHEME_MBE: | |
| 834 |
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40 | if (matctx->subc) { |
| 835 |
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|
20 | PetscCall(BVCreateVec(pep->V,&t)); |
| 836 |
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|
20 | PetscCall(BVDuplicateResize(pep->V,PetscMax(k,nmat),&W)); |
| 837 | } else { | ||
| 838 | 20 | W = matctx->W; | |
| 839 |
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20 | PetscCall(PetscObjectReference((PetscObject)W)); |
| 840 | 20 | t = matctx->t; | |
| 841 |
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20 | PetscCall(PetscObjectReference((PetscObject)t)); |
| 842 | } | ||
| 843 |
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40 | PetscCall(BVScale(matctx->W,0.0)); |
| 844 |
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40 | PetscCall(BVScale(matctx->Wt,0.0)); |
| 845 |
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40 | PetscCall(BVScale(matctx->M2,0.0)); |
| 846 |
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40 | PetscCall(BVScale(matctx->M3,0.0)); |
| 847 |
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|
40 | PetscCall(PetscMalloc1(nmat,&fh)); |
| 848 | break; | ||
| 849 | 60 | case PEP_REFINE_SCHEME_SCHUR: | |
| 850 |
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60 | PetscCall(KSPGetOperators(ksp,&M,NULL)); |
| 851 |
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60 | PetscCall(MatShellGetContext(M,&ctx)); |
| 852 |
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60 | PetscCall(BVCreateVec(pep->V,&t)); |
| 853 |
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|
60 | PetscCall(BVDuplicateResize(pep->V,PetscMax(k,nmat),&W)); |
| 854 | 60 | fh = ctx->fih; | |
| 855 | 60 | break; | |
| 856 | } | ||
| 857 |
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140 | PetscCall(PetscArrayzero(dVS,2*k*k)); |
| 858 |
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140 | PetscCall(PetscArrayzero(DfH,lda*k)); |
| 859 |
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140 | PetscCall(STGetTransform(pep->st,&flg)); |
| 860 |
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140 | if (flg) { |
| 861 |
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30 | PetscCall(PetscMalloc1(pep->nmat,&At)); |
| 862 |
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|
120 | for (i=0;i<pep->nmat;i++) PetscCall(STGetMatrixTransformed(pep->st,i,&At[i])); |
| 863 | 110 | } else At = pep->A; | |
| 864 | |||
| 865 | /* Main loop for computing the i-th columns of dX and dS */ | ||
| 866 |
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1225 | for (i=0;i<k;i++) { |
| 867 | /* Compute and update i-th column of the right hand side */ | ||
| 868 |
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|
1085 | PetscCall(PetscArrayzero(Rh,k)); |
| 869 |
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|
1085 | PetscCall(NRefRightSide(nmat,pep->pbc,At,k,pep->V,S,lds,i,H,ldh,fH,DfH,dH,dV,dVS,*rds,Rv,Rh,W,t)); |
| 870 | |||
| 871 | /* Update and solve system */ | ||
| 872 |
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1085 | PetscCall(BVGetColumn(dV,i,&dvi)); |
| 873 |
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1085 | PetscCall(NRefSysIter(i,pep,k,ksp,fH,S,lds,fh,H,ldh,Rv,Rh,pep->V,dvi,dH+i*k,matctx,W)); |
| 874 | /* Orthogonalize computed solution */ | ||
| 875 |
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1085 | PetscCall(BVOrthogonalizeVec(pep->V,dvi,dVS+i*2*k,&norm,&lindep)); |
| 876 |
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1085 | PetscCall(BVRestoreColumn(dV,i,&dvi)); |
| 877 |
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1085 | if (!lindep) { |
| 878 |
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1085 | PetscCall(BVOrthogonalizeColumn(dV,i,dVS+k+i*2*k,&norm,&lindep)); |
| 879 |
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|
1085 | if (!lindep) { |
| 880 | 1085 | dVS[k+i+i*2*k] = norm; | |
| 881 |
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1085 | PetscCall(BVScaleColumn(dV,i,1.0/norm)); |
| 882 | 1085 | (*rds)++; | |
| 883 | } | ||
| 884 | } | ||
| 885 | } | ||
| 886 |
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140 | PetscCall(BVSetActiveColumns(dV,0,*rds)); |
| 887 |
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140 | PetscCall(VecDestroy(&t)); |
| 888 |
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140 | PetscCall(VecDestroy(&Rv)); |
| 889 |
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140 | PetscCall(BVDestroy(&W)); |
| 890 |
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140 | if (flg) PetscCall(PetscFree(At)); |
| 891 |
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140 | PetscCall(PetscFree2(DfH,Rh)); |
| 892 |
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140 | if (pep->scheme!=PEP_REFINE_SCHEME_SCHUR) PetscCall(PetscFree(fh)); |
| 893 |
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|
28 | PetscFunctionReturn(PETSC_SUCCESS); |
| 894 | } | ||
| 895 | |||
| 896 | 280 | static PetscErrorCode NRefOrthogStep(PEP pep,PetscInt k,PetscScalar *H,PetscInt ldh,PetscScalar *fH,PetscScalar *S,PetscInt lds) | |
| 897 | { | ||
| 898 | 280 | PetscInt j,nmat=pep->nmat,deg=nmat-1,lda=nmat*k,ldg; | |
| 899 | 280 | PetscScalar *G,*tau,sone=1.0,zero=0.0,*work; | |
| 900 | 280 | PetscBLASInt lds_,k_,ldh_,info,ldg_,lda_; | |
| 901 | |||
| 902 |
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280 | PetscFunctionBegin; |
| 903 |
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280 | PetscCall(PetscMalloc3(k,&tau,k,&work,deg*k*k,&G)); |
| 904 |
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280 | PetscCall(PetscBLASIntCast(lds,&lds_)); |
| 905 |
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280 | PetscCall(PetscBLASIntCast(lda,&lda_)); |
| 906 |
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280 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 907 | |||
| 908 | /* Form auxiliary matrix for the orthogonalization step */ | ||
| 909 | 280 | ldg = deg*k; | |
| 910 |
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280 | PetscCall(PEPEvaluateBasisforMatrix(pep,nmat,k,H,ldh,fH)); |
| 911 |
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280 | PetscCall(PetscBLASIntCast(ldg,&ldg_)); |
| 912 |
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280 | PetscCall(PetscBLASIntCast(ldh,&ldh_)); |
| 913 |
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840 | for (j=0;j<deg;j++) { |
| 914 |
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560 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&sone,S,&lds_,fH+j*k,&lda_,&zero,G+j*k,&ldg_)); |
| 915 | } | ||
| 916 | /* Orthogonalize and update S */ | ||
| 917 |
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280 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 918 |
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280 | PetscCallBLAS("LAPACKgeqrf",LAPACKgeqrf_(&ldg_,&k_,G,&ldg_,tau,work,&k_,&info)); |
| 919 |
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280 | PetscCall(PetscFPTrapPop()); |
| 920 |
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280 | SlepcCheckLapackInfo("geqrf",info); |
| 921 |
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|
280 | PetscCallBLAS("BLAStrsm",BLAStrsm_("R","U","N","N",&k_,&k_,&sone,G,&ldg_,S,&lds_)); |
| 922 | |||
| 923 | /* Update H */ | ||
| 924 |
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280 | PetscCallBLAS("BLAStrmm",BLAStrmm_("L","U","N","N",&k_,&k_,&sone,G,&ldg_,H,&ldh_)); |
| 925 |
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280 | PetscCallBLAS("BLAStrsm",BLAStrsm_("R","U","N","N",&k_,&k_,&sone,G,&ldg_,H,&ldh_)); |
| 926 |
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280 | PetscCall(PetscFree3(tau,work,G)); |
| 927 |
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|
56 | PetscFunctionReturn(PETSC_SUCCESS); |
| 928 | } | ||
| 929 | |||
| 930 | 140 | static PetscErrorCode PEPNRefUpdateInvPair(PEP pep,PetscInt k,PetscScalar *H,PetscInt ldh,PetscScalar *fH,PetscScalar *dH,PetscScalar *S,PetscInt lds,BV dV,PetscScalar *dVS,PetscInt rds) | |
| 931 | { | ||
| 932 | 140 | PetscInt i,j,nmat=pep->nmat,lda=nmat*k; | |
| 933 | 140 | PetscScalar *tau,*array,*work; | |
| 934 | 140 | PetscBLASInt lds_,k_,lda_,ldh_,kdrs_,info,k2_; | |
| 935 | 140 | Mat M0; | |
| 936 | |||
| 937 |
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140 | PetscFunctionBegin; |
| 938 |
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140 | PetscCall(PetscMalloc2(k,&tau,k,&work)); |
| 939 |
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140 | PetscCall(PetscBLASIntCast(lds,&lds_)); |
| 940 |
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140 | PetscCall(PetscBLASIntCast(lda,&lda_)); |
| 941 |
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140 | PetscCall(PetscBLASIntCast(ldh,&ldh_)); |
| 942 |
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140 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 943 |
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140 | PetscCall(PetscBLASIntCast(2*k,&k2_)); |
| 944 |
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140 | PetscCall(PetscBLASIntCast((k+rds),&kdrs_)); |
| 945 | /* Update H */ | ||
| 946 |
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1225 | for (j=0;j<k;j++) { |
| 947 |
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11480 | for (i=0;i<k;i++) H[i+j*ldh] -= dH[i+j*k]; |
| 948 | } | ||
| 949 | /* Update V */ | ||
| 950 |
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1225 | for (j=0;j<k;j++) { |
| 951 |
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11480 | for (i=0;i<k;i++) dVS[i+j*2*k] = -dVS[i+j*2*k]+S[i+j*lds]; |
| 952 |
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11480 | for (i=k;i<2*k;i++) dVS[i+j*2*k] = -dVS[i+j*2*k]; |
| 953 | } | ||
| 954 |
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140 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 955 |
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140 | PetscCallBLAS("LAPACKgeqrf",LAPACKgeqrf_(&kdrs_,&k_,dVS,&k2_,tau,work,&k_,&info)); |
| 956 |
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140 | SlepcCheckLapackInfo("geqrf",info); |
| 957 | /* Copy triangular matrix in S */ | ||
| 958 |
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1225 | for (j=0;j<k;j++) { |
| 959 |
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6825 | for (i=0;i<=j;i++) S[i+j*lds] = dVS[i+j*2*k]; |
| 960 |
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5740 | for (i=j+1;i<k;i++) S[i+j*lds] = 0.0; |
| 961 | } | ||
| 962 |
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|
140 | PetscCallBLAS("LAPACKorgqr",LAPACKorgqr_(&k2_,&k_,&k_,dVS,&k2_,tau,work,&k_,&info)); |
| 963 |
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140 | SlepcCheckLapackInfo("orgqr",info); |
| 964 |
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140 | PetscCall(PetscFPTrapPop()); |
| 965 |
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140 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M0)); |
| 966 |
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140 | PetscCall(MatDenseGetArrayWrite(M0,&array)); |
| 967 |
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1225 | for (j=0;j<k;j++) PetscCall(PetscArraycpy(array+j*k,dVS+j*2*k,k)); |
| 968 |
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140 | PetscCall(MatDenseRestoreArrayWrite(M0,&array)); |
| 969 |
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140 | PetscCall(BVMultInPlace(pep->V,M0,0,k)); |
| 970 |
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140 | if (rds) { |
| 971 |
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140 | PetscCall(MatDenseGetArrayWrite(M0,&array)); |
| 972 |
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1225 | for (j=0;j<k;j++) PetscCall(PetscArraycpy(array+j*k,dVS+k+j*2*k,rds)); |
| 973 |
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140 | PetscCall(MatDenseRestoreArrayWrite(M0,&array)); |
| 974 |
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140 | PetscCall(BVMultInPlace(dV,M0,0,k)); |
| 975 |
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140 | PetscCall(BVMult(pep->V,1.0,1.0,dV,NULL)); |
| 976 | } | ||
| 977 |
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140 | PetscCall(MatDestroy(&M0)); |
| 978 |
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140 | PetscCall(NRefOrthogStep(pep,k,H,ldh,fH,S,lds)); |
| 979 |
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140 | PetscCall(PetscFree2(tau,work)); |
| 980 |
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|
28 | PetscFunctionReturn(PETSC_SUCCESS); |
| 981 | } | ||
| 982 | |||
| 983 | 140 | static PetscErrorCode PEPNRefSetUp(PEP pep,PetscInt k,PetscScalar *H,PetscInt ldh,PEP_REFINE_EXPLICIT *matctx,PetscBool ini) | |
| 984 | { | ||
| 985 | 140 | PEP_REFINE_MATSHELL *ctx; | |
| 986 | 140 | PetscScalar t,*coef; | |
| 987 | 140 | const PetscScalar *array; | |
| 988 | 140 | MatStructure str; | |
| 989 | 140 | PetscInt j,nmat=pep->nmat,n0,m0,n1,m1,n0_,m0_,n1_,m1_,N0,N1,p,*idx1,*idx2,count,si,i,l0; | |
| 990 | 140 | MPI_Comm comm; | |
| 991 | 140 | PetscMPIInt np; | |
| 992 | 140 | const PetscInt *rgs0,*rgs1; | |
| 993 | 140 | Mat B,C,*E,*A,*At; | |
| 994 | 140 | IS is1,is2; | |
| 995 | 140 | Vec v; | |
| 996 | 140 | PetscBool flg; | |
| 997 | 140 | Mat M,P; | |
| 998 | |||
| 999 |
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140 | PetscFunctionBegin; |
| 1000 |
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140 | PetscCall(PetscMalloc1(nmat,&coef)); |
| 1001 |
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140 | PetscCall(STGetTransform(pep->st,&flg)); |
| 1002 |
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140 | if (flg) { |
| 1003 |
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30 | PetscCall(PetscMalloc1(pep->nmat,&At)); |
| 1004 |
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|
120 | for (i=0;i<pep->nmat;i++) PetscCall(STGetMatrixTransformed(pep->st,i,&At[i])); |
| 1005 | 110 | } else At = pep->A; | |
| 1006 |
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140 | switch (pep->scheme) { |
| 1007 | 40 | case PEP_REFINE_SCHEME_EXPLICIT: | |
| 1008 |
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40 | if (ini) { |
| 1009 |
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40 | if (matctx->subc) { |
| 1010 | 20 | A = matctx->A; | |
| 1011 |
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20 | PetscCall(PetscSubcommGetChild(matctx->subc,&comm)); |
| 1012 | } else { | ||
| 1013 | 20 | A = At; | |
| 1014 |
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20 | PetscCall(PetscObjectGetComm((PetscObject)pep,&comm)); |
| 1015 | } | ||
| 1016 | 40 | E = matctx->E; | |
| 1017 |
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40 | PetscCall(STGetMatStructure(pep->st,&str)); |
| 1018 |
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40 | PetscCall(MatDuplicate(A[0],MAT_COPY_VALUES,&E[0])); |
| 1019 |
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40 | j = (matctx->subc)?matctx->subc->color:0; |
| 1020 |
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40 | PetscCall(PEPEvaluateBasis(pep,H[j+j*ldh],0,coef,NULL)); |
| 1021 |
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120 | for (j=1;j<nmat;j++) PetscCall(MatAXPY(E[0],coef[j],A[j],str)); |
| 1022 |
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40 | PetscCall(MatCreateDense(comm,PETSC_DECIDE,PETSC_DECIDE,k,k,NULL,&E[1])); |
| 1023 |
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40 | PetscCall(MatGetOwnershipRange(E[0],&n0,&m0)); |
| 1024 |
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40 | PetscCall(MatGetOwnershipRange(E[1],&n1,&m1)); |
| 1025 |
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40 | PetscCall(MatGetOwnershipRangeColumn(E[0],&n0_,&m0_)); |
| 1026 |
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40 | PetscCall(MatGetOwnershipRangeColumn(E[1],&n1_,&m1_)); |
| 1027 | /* T12 and T21 are computed from V and V*, so, | ||
| 1028 | they must have the same column and row ranges */ | ||
| 1029 |
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40 | PetscCheck(m0_-n0_==m0-n0,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Inconsistent dimensions"); |
| 1030 |
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40 | PetscCall(MatCreateDense(comm,m0-n0,m1_-n1_,PETSC_DECIDE,PETSC_DECIDE,NULL,&B)); |
| 1031 |
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|
40 | PetscCall(MatCreateDense(comm,m1-n1,m0_-n0_,PETSC_DECIDE,PETSC_DECIDE,NULL,&C)); |
| 1032 |
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40 | PetscCall(MatCreateTile(1.0,E[0],1.0,B,1.0,C,1.0,E[1],&M)); |
| 1033 |
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40 | PetscCall(MatDestroy(&B)); |
| 1034 |
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|
40 | PetscCall(MatDestroy(&C)); |
| 1035 | 40 | matctx->compM1 = PETSC_TRUE; | |
| 1036 |
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40 | PetscCall(MatGetSize(E[0],NULL,&N0)); |
| 1037 |
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40 | PetscCall(MatGetSize(E[1],NULL,&N1)); |
| 1038 |
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40 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)M),&np)); |
| 1039 |
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40 | PetscCall(MatGetOwnershipRanges(E[0],&rgs0)); |
| 1040 |
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40 | PetscCall(MatGetOwnershipRanges(E[1],&rgs1)); |
| 1041 |
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|
40 | PetscCall(PetscMalloc4(PetscMax(k,N1),&matctx->idxp,N0,&matctx->idxg,N0,&matctx->map0,N1,&matctx->map1)); |
| 1042 | /* Create column (and row) mapping */ | ||
| 1043 |
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|
80 | for (p=0;p<np;p++) { |
| 1044 |
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|
1240 | for (j=rgs0[p];j<rgs0[p+1];j++) matctx->map0[j] = j+rgs1[p]; |
| 1045 |
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255 | for (j=rgs1[p];j<rgs1[p+1];j++) matctx->map1[j] = j+rgs0[p+1]; |
| 1046 | } | ||
| 1047 |
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40 | PetscCall(MatCreateVecs(M,NULL,&matctx->tN)); |
| 1048 |
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40 | PetscCall(MatCreateVecs(matctx->E[1],NULL,&matctx->t1)); |
| 1049 |
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40 | PetscCall(VecDuplicate(matctx->tN,&matctx->ttN)); |
| 1050 |
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40 | if (matctx->subc) { |
| 1051 |
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|
20 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 1052 | 20 | count = np*k; | |
| 1053 |
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20 | PetscCall(PetscMalloc2(count,&idx1,count,&idx2)); |
| 1054 |
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20 | PetscCall(VecCreateMPI(PetscObjectComm((PetscObject)pep),m1-n1,PETSC_DECIDE,&matctx->tp)); |
| 1055 |
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20 | PetscCall(VecGetOwnershipRange(matctx->tp,&l0,NULL)); |
| 1056 |
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20 | PetscCall(VecCreateMPI(PetscObjectComm((PetscObject)pep),k,PETSC_DECIDE,&matctx->tpg)); |
| 1057 |
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|
60 | for (si=0;si<matctx->subc->n;si++) { |
| 1058 |
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|
40 | if (matctx->subc->color==si) { |
| 1059 | j=0; | ||
| 1060 | if (matctx->subc->color==si) { | ||
| 1061 |
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60 | for (p=0;p<np;p++) { |
| 1062 |
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|
240 | for (i=n1;i<m1;i++) { |
| 1063 | 200 | idx1[j] = l0+i-n1; | |
| 1064 | 200 | idx2[j++] =p*k+i; | |
| 1065 | } | ||
| 1066 | } | ||
| 1067 | } | ||
| 1068 | 20 | count = np*(m1-n1); | |
| 1069 | } else count =0; | ||
| 1070 |
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40 | PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pep),count,idx1,PETSC_COPY_VALUES,&is1)); |
| 1071 |
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40 | PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pep),count,idx2,PETSC_COPY_VALUES,&is2)); |
| 1072 |
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40 | PetscCall(VecScatterCreate(matctx->tp,is1,matctx->tpg,is2,&matctx->scatterp_id[si])); |
| 1073 |
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40 | PetscCall(ISDestroy(&is1)); |
| 1074 |
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40 | PetscCall(ISDestroy(&is2)); |
| 1075 | } | ||
| 1076 |
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20 | PetscCall(PetscFree2(idx1,idx2)); |
| 1077 |
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|
20 | } else PetscCall(VecScatterCreateToAll(matctx->t1,&matctx->scatterctx,&matctx->vseq)); |
| 1078 | 40 | P = M; | |
| 1079 | } else { | ||
| 1080 | ✗ | if (matctx->subc) { | |
| 1081 | /* Scatter vectors pep->V */ | ||
| 1082 | ✗ | for (i=0;i<k;i++) { | |
| 1083 | ✗ | PetscCall(BVGetColumn(pep->V,i,&v)); | |
| 1084 | ✗ | PetscCall(VecScatterBegin(matctx->scatter_sub,v,matctx->tg,INSERT_VALUES,SCATTER_FORWARD)); | |
| 1085 | ✗ | PetscCall(VecScatterEnd(matctx->scatter_sub,v,matctx->tg,INSERT_VALUES,SCATTER_FORWARD)); | |
| 1086 | ✗ | PetscCall(BVRestoreColumn(pep->V,i,&v)); | |
| 1087 | ✗ | PetscCall(VecGetArrayRead(matctx->tg,&array)); | |
| 1088 | ✗ | PetscCall(VecPlaceArray(matctx->t,(const PetscScalar*)array)); | |
| 1089 | ✗ | PetscCall(BVInsertVec(matctx->V,i,matctx->t)); | |
| 1090 | ✗ | PetscCall(VecResetArray(matctx->t)); | |
| 1091 | ✗ | PetscCall(VecRestoreArrayRead(matctx->tg,&array)); | |
| 1092 | } | ||
| 1093 | } | ||
| 1094 | } | ||
| 1095 | break; | ||
| 1096 | 40 | case PEP_REFINE_SCHEME_MBE: | |
| 1097 |
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40 | if (ini) { |
| 1098 |
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40 | if (matctx->subc) { |
| 1099 | 20 | A = matctx->A; | |
| 1100 |
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|
20 | PetscCall(PetscSubcommGetChild(matctx->subc,&comm)); |
| 1101 | } else { | ||
| 1102 | 20 | matctx->V = pep->V; | |
| 1103 | 20 | A = At; | |
| 1104 |
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20 | PetscCall(PetscObjectGetComm((PetscObject)pep,&comm)); |
| 1105 |
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20 | PetscCall(MatCreateVecs(pep->A[0],&matctx->t,NULL)); |
| 1106 | } | ||
| 1107 |
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40 | PetscCall(STGetMatStructure(pep->st,&str)); |
| 1108 |
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40 | PetscCall(MatDuplicate(A[0],MAT_COPY_VALUES,&matctx->M1)); |
| 1109 |
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40 | j = (matctx->subc)?matctx->subc->color:0; |
| 1110 |
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40 | PetscCall(PEPEvaluateBasis(pep,H[j+j*ldh],0,coef,NULL)); |
| 1111 |
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|
120 | for (j=1;j<nmat;j++) PetscCall(MatAXPY(matctx->M1,coef[j],A[j],str)); |
| 1112 |
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40 | PetscCall(BVDuplicateResize(matctx->V,PetscMax(k,pep->nmat),&matctx->W)); |
| 1113 |
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40 | PetscCall(BVDuplicateResize(matctx->V,k,&matctx->M2)); |
| 1114 |
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40 | PetscCall(BVDuplicate(matctx->M2,&matctx->M3)); |
| 1115 |
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40 | PetscCall(BVDuplicate(matctx->M2,&matctx->Wt)); |
| 1116 |
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40 | PetscCall(PetscMalloc5(k*k,&matctx->M4,k*k,&matctx->w,k*k,&matctx->wt,k,&matctx->d,k,&matctx->dt)); |
| 1117 | 40 | matctx->compM1 = PETSC_TRUE; | |
| 1118 | 40 | M = matctx->M1; | |
| 1119 | 40 | P = M; | |
| 1120 | } | ||
| 1121 | break; | ||
| 1122 | 60 | case PEP_REFINE_SCHEME_SCHUR: | |
| 1123 |
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60 | if (ini) { |
| 1124 |
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60 | PetscCall(PetscObjectGetComm((PetscObject)pep,&comm)); |
| 1125 |
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60 | PetscCall(MatGetSize(At[0],&m0,&n0)); |
| 1126 |
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60 | PetscCall(PetscMalloc1(1,&ctx)); |
| 1127 |
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|
60 | PetscCall(STGetMatStructure(pep->st,&str)); |
| 1128 | /* Create a shell matrix to solve the linear system */ | ||
| 1129 | 60 | ctx->V = pep->V; | |
| 1130 | 60 | ctx->k = k; ctx->nmat = nmat; | |
| 1131 |
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60 | PetscCall(PetscMalloc5(nmat,&ctx->A,k*k,&ctx->M4,k,&ctx->pM4,2*k*k,&ctx->work,nmat,&ctx->fih)); |
| 1132 |
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240 | for (i=0;i<nmat;i++) ctx->A[i] = At[i]; |
| 1133 |
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60 | PetscCall(PetscArrayzero(ctx->M4,k*k)); |
| 1134 |
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60 | PetscCall(MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,m0,n0,ctx,&M)); |
| 1135 |
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60 | PetscCall(MatShellSetOperation(M,MATOP_MULT,(PetscErrorCodeFn*)MatMult_FS)); |
| 1136 |
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60 | PetscCall(BVDuplicateResize(ctx->V,PetscMax(k,pep->nmat),&ctx->W)); |
| 1137 |
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60 | PetscCall(BVDuplicateResize(ctx->V,k,&ctx->M2)); |
| 1138 |
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60 | PetscCall(BVDuplicate(ctx->M2,&ctx->M3)); |
| 1139 |
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60 | PetscCall(BVCreateVec(pep->V,&ctx->t)); |
| 1140 |
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60 | PetscCall(MatDuplicate(At[0],MAT_COPY_VALUES,&ctx->M1)); |
| 1141 |
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|
60 | PetscCall(PEPEvaluateBasis(pep,H[0],0,coef,NULL)); |
| 1142 |
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|
180 | for (j=1;j<nmat;j++) PetscCall(MatAXPY(ctx->M1,coef[j],At[j],str)); |
| 1143 |
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|
60 | PetscCall(MatDuplicate(At[0],MAT_COPY_VALUES,&P)); |
| 1144 | /* Compute a precond matrix for the system */ | ||
| 1145 | 60 | t = H[0]; | |
| 1146 |
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60 | PetscCall(PEPEvaluateBasis(pep,t,0,coef,NULL)); |
| 1147 |
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|
180 | for (j=1;j<nmat;j++) PetscCall(MatAXPY(P,coef[j],At[j],str)); |
| 1148 | 60 | ctx->compM1 = PETSC_TRUE; | |
| 1149 | } | ||
| 1150 | break; | ||
| 1151 | } | ||
| 1152 |
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140 | if (ini) { |
| 1153 |
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140 | PetscCall(PEPRefineGetKSP(pep,&pep->refineksp)); |
| 1154 |
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140 | PetscCall(KSPSetErrorIfNotConverged(pep->refineksp,PETSC_TRUE)); |
| 1155 |
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140 | PetscCall(PEP_KSPSetOperators(pep->refineksp,M,P)); |
| 1156 |
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|
140 | PetscCall(KSPSetFromOptions(pep->refineksp)); |
| 1157 | } | ||
| 1158 | |||
| 1159 |
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140 | if (!ini && matctx && matctx->subc) { |
| 1160 | /* Scatter vectors pep->V */ | ||
| 1161 | ✗ | for (i=0;i<k;i++) { | |
| 1162 | ✗ | PetscCall(BVGetColumn(pep->V,i,&v)); | |
| 1163 | ✗ | PetscCall(VecScatterBegin(matctx->scatter_sub,v,matctx->tg,INSERT_VALUES,SCATTER_FORWARD)); | |
| 1164 | ✗ | PetscCall(VecScatterEnd(matctx->scatter_sub,v,matctx->tg,INSERT_VALUES,SCATTER_FORWARD)); | |
| 1165 | ✗ | PetscCall(BVRestoreColumn(pep->V,i,&v)); | |
| 1166 | ✗ | PetscCall(VecGetArrayRead(matctx->tg,&array)); | |
| 1167 | ✗ | PetscCall(VecPlaceArray(matctx->t,(const PetscScalar*)array)); | |
| 1168 | ✗ | PetscCall(BVInsertVec(matctx->V,i,matctx->t)); | |
| 1169 | ✗ | PetscCall(VecResetArray(matctx->t)); | |
| 1170 | ✗ | PetscCall(VecRestoreArrayRead(matctx->tg,&array)); | |
| 1171 | } | ||
| 1172 | } | ||
| 1173 |
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140 | PetscCall(PetscFree(coef)); |
| 1174 |
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140 | if (flg) PetscCall(PetscFree(At)); |
| 1175 |
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|
28 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1176 | } | ||
| 1177 | |||
| 1178 | 40 | static PetscErrorCode NRefSubcommSetup(PEP pep,PetscInt k,PEP_REFINE_EXPLICIT *matctx,PetscInt nsubc) | |
| 1179 | { | ||
| 1180 | 40 | PetscInt i,si,j,m0,n0,nloc0,nloc_sub,*idx1,*idx2; | |
| 1181 | 40 | IS is1,is2; | |
| 1182 | 40 | BVType type; | |
| 1183 | 40 | Vec v; | |
| 1184 | 40 | const PetscScalar *array; | |
| 1185 | 40 | Mat *A; | |
| 1186 | 40 | PetscBool flg; | |
| 1187 | 40 | MPI_Comm contpar,child; | |
| 1188 | |||
| 1189 |
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40 | PetscFunctionBegin; |
| 1190 |
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40 | PetscCall(STGetTransform(pep->st,&flg)); |
| 1191 |
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40 | if (flg) { |
| 1192 | ✗ | PetscCall(PetscMalloc1(pep->nmat,&A)); | |
| 1193 | ✗ | for (i=0;i<pep->nmat;i++) PetscCall(STGetMatrixTransformed(pep->st,i,&A[i])); | |
| 1194 | 40 | } else A = pep->A; | |
| 1195 |
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40 | PetscCall(PetscSubcommGetChild(matctx->subc,&child)); |
| 1196 |
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40 | PetscCall(PetscSubcommGetContiguousParent(matctx->subc,&contpar)); |
| 1197 | |||
| 1198 | /* Duplicate pep matrices */ | ||
| 1199 |
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|
40 | PetscCall(PetscMalloc3(pep->nmat,&matctx->A,nsubc,&matctx->scatter_id,nsubc,&matctx->scatterp_id)); |
| 1200 |
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|
160 | for (i=0;i<pep->nmat;i++) PetscCall(MatCreateRedundantMatrix(A[i],0,child,MAT_INITIAL_MATRIX,&matctx->A[i])); |
| 1201 | |||
| 1202 | /* Create Scatter */ | ||
| 1203 |
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40 | PetscCall(MatCreateVecs(matctx->A[0],&matctx->t,NULL)); |
| 1204 |
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|
40 | PetscCall(MatGetLocalSize(matctx->A[0],&nloc_sub,NULL)); |
| 1205 |
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40 | PetscCall(VecCreateMPI(contpar,nloc_sub,PETSC_DECIDE,&matctx->tg)); |
| 1206 |
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40 | PetscCall(BVGetColumn(pep->V,0,&v)); |
| 1207 |
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|
40 | PetscCall(VecGetOwnershipRange(v,&n0,&m0)); |
| 1208 | 40 | nloc0 = m0-n0; | |
| 1209 |
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|
40 | PetscCall(PetscMalloc2(matctx->subc->n*nloc0,&idx1,matctx->subc->n*nloc0,&idx2)); |
| 1210 | j = 0; | ||
| 1211 |
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120 | for (si=0;si<matctx->subc->n;si++) { |
| 1212 |
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1280 | for (i=n0;i<m0;i++) { |
| 1213 | 1200 | idx1[j] = i; | |
| 1214 | 1200 | idx2[j++] = i+pep->n*si; | |
| 1215 | } | ||
| 1216 | } | ||
| 1217 |
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40 | PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pep),matctx->subc->n*nloc0,idx1,PETSC_COPY_VALUES,&is1)); |
| 1218 |
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40 | PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pep),matctx->subc->n*nloc0,idx2,PETSC_COPY_VALUES,&is2)); |
| 1219 |
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40 | PetscCall(VecScatterCreate(v,is1,matctx->tg,is2,&matctx->scatter_sub)); |
| 1220 |
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40 | PetscCall(ISDestroy(&is1)); |
| 1221 |
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40 | PetscCall(ISDestroy(&is2)); |
| 1222 |
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120 | for (si=0;si<matctx->subc->n;si++) { |
| 1223 | 80 | j=0; | |
| 1224 |
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1280 | for (i=n0;i<m0;i++) { |
| 1225 | 1200 | idx1[j] = i; | |
| 1226 | 1200 | idx2[j++] = i+pep->n*si; | |
| 1227 | } | ||
| 1228 |
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80 | PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pep),nloc0,idx1,PETSC_COPY_VALUES,&is1)); |
| 1229 |
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80 | PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pep),nloc0,idx2,PETSC_COPY_VALUES,&is2)); |
| 1230 |
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80 | PetscCall(VecScatterCreate(v,is1,matctx->tg,is2,&matctx->scatter_id[si])); |
| 1231 |
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80 | PetscCall(ISDestroy(&is1)); |
| 1232 |
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80 | PetscCall(ISDestroy(&is2)); |
| 1233 | } | ||
| 1234 |
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40 | PetscCall(BVRestoreColumn(pep->V,0,&v)); |
| 1235 |
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|
40 | PetscCall(PetscFree2(idx1,idx2)); |
| 1236 | |||
| 1237 | /* Duplicate pep->V vecs */ | ||
| 1238 |
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40 | PetscCall(BVGetType(pep->V,&type)); |
| 1239 |
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40 | PetscCall(BVCreate(child,&matctx->V)); |
| 1240 |
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40 | PetscCall(BVSetType(matctx->V,type)); |
| 1241 |
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40 | PetscCall(BVSetSizesFromVec(matctx->V,matctx->t,k)); |
| 1242 |
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|
40 | if (pep->scheme==PEP_REFINE_SCHEME_EXPLICIT) PetscCall(BVDuplicateResize(matctx->V,PetscMax(k,pep->nmat),&matctx->W)); |
| 1243 |
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240 | for (i=0;i<k;i++) { |
| 1244 |
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200 | PetscCall(BVGetColumn(pep->V,i,&v)); |
| 1245 |
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200 | PetscCall(VecScatterBegin(matctx->scatter_sub,v,matctx->tg,INSERT_VALUES,SCATTER_FORWARD)); |
| 1246 |
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200 | PetscCall(VecScatterEnd(matctx->scatter_sub,v,matctx->tg,INSERT_VALUES,SCATTER_FORWARD)); |
| 1247 |
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200 | PetscCall(BVRestoreColumn(pep->V,i,&v)); |
| 1248 |
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200 | PetscCall(VecGetArrayRead(matctx->tg,&array)); |
| 1249 |
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200 | PetscCall(VecPlaceArray(matctx->t,(const PetscScalar*)array)); |
| 1250 |
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200 | PetscCall(BVInsertVec(matctx->V,i,matctx->t)); |
| 1251 |
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200 | PetscCall(VecResetArray(matctx->t)); |
| 1252 |
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200 | PetscCall(VecRestoreArrayRead(matctx->tg,&array)); |
| 1253 | } | ||
| 1254 | |||
| 1255 |
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40 | PetscCall(VecDuplicate(matctx->t,&matctx->Rv)); |
| 1256 |
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40 | PetscCall(VecDuplicate(matctx->t,&matctx->Vi)); |
| 1257 |
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40 | if (flg) PetscCall(PetscFree(A)); |
| 1258 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1259 | } | ||
| 1260 | |||
| 1261 | 40 | static PetscErrorCode NRefSubcommDestroy(PEP pep,PEP_REFINE_EXPLICIT *matctx) | |
| 1262 | { | ||
| 1263 | 40 | PetscInt i; | |
| 1264 | |||
| 1265 |
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40 | PetscFunctionBegin; |
| 1266 |
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40 | PetscCall(VecScatterDestroy(&matctx->scatter_sub)); |
| 1267 |
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120 | for (i=0;i<matctx->subc->n;i++) PetscCall(VecScatterDestroy(&matctx->scatter_id[i])); |
| 1268 |
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160 | for (i=0;i<pep->nmat;i++) PetscCall(MatDestroy(&matctx->A[i])); |
| 1269 |
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40 | if (pep->scheme==PEP_REFINE_SCHEME_EXPLICIT) { |
| 1270 |
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60 | for (i=0;i<matctx->subc->n;i++) PetscCall(VecScatterDestroy(&matctx->scatterp_id[i])); |
| 1271 |
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20 | PetscCall(VecDestroy(&matctx->tp)); |
| 1272 |
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20 | PetscCall(VecDestroy(&matctx->tpg)); |
| 1273 |
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20 | PetscCall(BVDestroy(&matctx->W)); |
| 1274 | } | ||
| 1275 |
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40 | PetscCall(PetscFree3(matctx->A,matctx->scatter_id,matctx->scatterp_id)); |
| 1276 |
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40 | PetscCall(BVDestroy(&matctx->V)); |
| 1277 |
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40 | PetscCall(VecDestroy(&matctx->t)); |
| 1278 |
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40 | PetscCall(VecDestroy(&matctx->tg)); |
| 1279 |
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40 | PetscCall(VecDestroy(&matctx->Rv)); |
| 1280 |
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40 | PetscCall(VecDestroy(&matctx->Vi)); |
| 1281 |
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|
8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1282 | } | ||
| 1283 | |||
| 1284 | 140 | PetscErrorCode PEPNewtonRefinement_TOAR(PEP pep,PetscScalar sigma,PetscInt *maxits,PetscReal *tol,PetscInt k,PetscScalar *S,PetscInt lds) | |
| 1285 | { | ||
| 1286 | 140 | PetscScalar *H,*work,*dH,*fH,*dVS; | |
| 1287 | 140 | PetscInt ldh,i,j,its=1,nmat=pep->nmat,nsubc=pep->npart,rds; | |
| 1288 | 140 | PetscBLASInt k_,ld_,*p,info; | |
| 1289 | 140 | BV dV; | |
| 1290 | 140 | PetscBool sinvert,flg; | |
| 1291 | 140 | PEP_REFINE_EXPLICIT *matctx=NULL; | |
| 1292 | 140 | Vec v; | |
| 1293 | 140 | Mat M,P; | |
| 1294 | 140 | PEP_REFINE_MATSHELL *ctx; | |
| 1295 | |||
| 1296 |
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140 | PetscFunctionBegin; |
| 1297 |
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|
140 | PetscCall(PetscLogEventBegin(PEP_Refine,pep,0,0,0)); |
| 1298 |
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140 | PetscCheck(k<=pep->n,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"Multiple Refinement available only for invariant pairs of dimension smaller than n=%" PetscInt_FMT,pep->n); |
| 1299 | /* the input tolerance is not being taken into account (by the moment) */ | ||
| 1300 | 140 | its = *maxits; | |
| 1301 |
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|
140 | PetscCall(PetscMalloc3(k*k,&dH,nmat*k*k,&fH,k,&work)); |
| 1302 |
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|
140 | PetscCall(DSGetLeadingDimension(pep->ds,&ldh)); |
| 1303 |
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140 | PetscCall(PetscMalloc1(2*k*k,&dVS)); |
| 1304 |
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|
140 | PetscCall(STGetTransform(pep->st,&flg)); |
| 1305 |
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140 | if (!flg && pep->st && pep->ops->backtransform) { /* BackTransform */ |
| 1306 |
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|
110 | PetscCall(PetscBLASIntCast(k,&k_)); |
| 1307 |
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|
110 | PetscCall(PetscBLASIntCast(ldh,&ld_)); |
| 1308 |
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110 | PetscCall(PetscObjectTypeCompare((PetscObject)pep->st,STSINVERT,&sinvert)); |
| 1309 |
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110 | if (sinvert) { |
| 1310 |
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|
70 | PetscCall(DSGetArray(pep->ds,DS_MAT_A,&H)); |
| 1311 |
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70 | PetscCall(PetscMalloc1(k,&p)); |
| 1312 |
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|
70 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 1313 |
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|
70 | PetscCallBLAS("LAPACKgetrf",LAPACKgetrf_(&k_,&k_,H,&ld_,p,&info)); |
| 1314 |
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70 | SlepcCheckLapackInfo("getrf",info); |
| 1315 |
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70 | PetscCallBLAS("LAPACKgetri",LAPACKgetri_(&k_,H,&ld_,p,work,&k_,&info)); |
| 1316 |
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70 | SlepcCheckLapackInfo("getri",info); |
| 1317 |
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70 | PetscCall(PetscFPTrapPop()); |
| 1318 |
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|
70 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_A,&H)); |
| 1319 | 70 | pep->ops->backtransform = NULL; | |
| 1320 | } | ||
| 1321 |
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110 | if (sigma!=0.0) { |
| 1322 |
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70 | PetscCall(DSGetArray(pep->ds,DS_MAT_A,&H)); |
| 1323 |
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420 | for (i=0;i<k;i++) H[i+ldh*i] += sigma; |
| 1324 |
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70 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_A,&H)); |
| 1325 | 70 | pep->ops->backtransform = NULL; | |
| 1326 | } | ||
| 1327 | } | ||
| 1328 |
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|
140 | if ((pep->scale==PEP_SCALE_BOTH || pep->scale==PEP_SCALE_SCALAR) && pep->sfactor!=1.0) { |
| 1329 | ✗ | PetscCall(DSGetArray(pep->ds,DS_MAT_A,&H)); | |
| 1330 | ✗ | for (j=0;j<k;j++) { | |
| 1331 | ✗ | for (i=0;i<k;i++) H[i+j*ldh] *= pep->sfactor; | |
| 1332 | } | ||
| 1333 | ✗ | PetscCall(DSRestoreArray(pep->ds,DS_MAT_A,&H)); | |
| 1334 | ✗ | if (!flg) { | |
| 1335 | /* Restore original values */ | ||
| 1336 | ✗ | for (i=0;i<pep->nmat;i++) { | |
| 1337 | ✗ | pep->pbc[pep->nmat+i] *= pep->sfactor; | |
| 1338 | ✗ | pep->pbc[2*pep->nmat+i] *= pep->sfactor*pep->sfactor; | |
| 1339 | } | ||
| 1340 | } | ||
| 1341 | } | ||
| 1342 |
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140 | if ((pep->scale==PEP_SCALE_DIAGONAL || pep->scale==PEP_SCALE_BOTH) && pep->Dr) { |
| 1343 |
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240 | for (i=0;i<k;i++) { |
| 1344 |
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200 | PetscCall(BVGetColumn(pep->V,i,&v)); |
| 1345 |
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200 | PetscCall(VecPointwiseMult(v,v,pep->Dr)); |
| 1346 |
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200 | PetscCall(BVRestoreColumn(pep->V,i,&v)); |
| 1347 | } | ||
| 1348 | } | ||
| 1349 |
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140 | PetscCall(DSGetArray(pep->ds,DS_MAT_A,&H)); |
| 1350 | |||
| 1351 |
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140 | PetscCall(NRefOrthogStep(pep,k,H,ldh,fH,S,lds)); |
| 1352 | /* check if H is in Schur form */ | ||
| 1353 |
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1085 | for (i=0;i<k-1;i++) { |
| 1354 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1355 |
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495 | PetscCheck(H[i+1+i*ldh]==0.0,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"Iterative Refinement requires the complex Schur form of the projected matrix"); |
| 1356 | #else | ||
| 1357 |
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450 | PetscCheck(H[i+1+i*ldh]==0.0,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"Iterative Refinement requires an upper triangular projected matrix"); |
| 1358 | #endif | ||
| 1359 | } | ||
| 1360 |
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140 | PetscCheck(nsubc<=k,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"Number of subcommunicators should not be larger than the invariant pair dimension"); |
| 1361 |
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140 | PetscCall(BVSetActiveColumns(pep->V,0,k)); |
| 1362 |
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140 | PetscCall(BVDuplicateResize(pep->V,k,&dV)); |
| 1363 |
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140 | if (pep->scheme!=PEP_REFINE_SCHEME_SCHUR) { |
| 1364 |
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|
80 | PetscCall(PetscMalloc1(1,&matctx)); |
| 1365 |
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80 | if (nsubc>1) { /* splitting in subcommunicators */ |
| 1366 | 40 | matctx->subc = pep->refinesubc; | |
| 1367 |
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40 | PetscCall(NRefSubcommSetup(pep,k,matctx,nsubc)); |
| 1368 | 40 | } else matctx->subc=NULL; | |
| 1369 | } | ||
| 1370 | |||
| 1371 | /* Loop performing iterative refinements */ | ||
| 1372 |
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280 | for (i=0;i<its;i++) { |
| 1373 | /* Pre-compute the polynomial basis evaluated in H */ | ||
| 1374 |
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140 | PetscCall(PEPEvaluateBasisforMatrix(pep,nmat,k,H,ldh,fH)); |
| 1375 |
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140 | PetscCall(PEPNRefSetUp(pep,k,H,ldh,matctx,PetscNot(i))); |
| 1376 | /* Solve the linear system */ | ||
| 1377 |
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140 | PetscCall(PEPNRefForwardSubstitution(pep,k,S,lds,H,ldh,fH,dV,dVS,&rds,dH,k,pep->refineksp,matctx)); |
| 1378 | /* Update X (=V*S) and H, and orthogonalize [X;X*fH1;...;XfH(deg-1)] */ | ||
| 1379 |
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140 | PetscCall(PEPNRefUpdateInvPair(pep,k,H,ldh,fH,dH,S,lds,dV,dVS,rds)); |
| 1380 | } | ||
| 1381 |
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140 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_A,&H)); |
| 1382 |
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140 | if (!flg && sinvert) PetscCall(PetscFree(p)); |
| 1383 |
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140 | PetscCall(PetscFree3(dH,fH,work)); |
| 1384 |
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140 | PetscCall(PetscFree(dVS)); |
| 1385 |
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140 | PetscCall(BVDestroy(&dV)); |
| 1386 |
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140 | switch (pep->scheme) { |
| 1387 | case PEP_REFINE_SCHEME_EXPLICIT: | ||
| 1388 |
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|
120 | for (i=0;i<2;i++) PetscCall(MatDestroy(&matctx->E[i])); |
| 1389 |
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40 | PetscCall(PetscFree4(matctx->idxp,matctx->idxg,matctx->map0,matctx->map1)); |
| 1390 |
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40 | PetscCall(VecDestroy(&matctx->tN)); |
| 1391 |
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40 | PetscCall(VecDestroy(&matctx->ttN)); |
| 1392 |
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40 | PetscCall(VecDestroy(&matctx->t1)); |
| 1393 |
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|
40 | if (nsubc>1) PetscCall(NRefSubcommDestroy(pep,matctx)); |
| 1394 | else { | ||
| 1395 |
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20 | PetscCall(VecDestroy(&matctx->vseq)); |
| 1396 |
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20 | PetscCall(VecScatterDestroy(&matctx->scatterctx)); |
| 1397 | } | ||
| 1398 |
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40 | PetscCall(PetscFree(matctx)); |
| 1399 |
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|
40 | PetscCall(KSPGetOperators(pep->refineksp,&M,NULL)); |
| 1400 |
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|
40 | PetscCall(MatDestroy(&M)); |
| 1401 | break; | ||
| 1402 | 40 | case PEP_REFINE_SCHEME_MBE: | |
| 1403 |
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|
40 | PetscCall(BVDestroy(&matctx->W)); |
| 1404 |
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40 | PetscCall(BVDestroy(&matctx->Wt)); |
| 1405 |
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|
40 | PetscCall(BVDestroy(&matctx->M2)); |
| 1406 |
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|
40 | PetscCall(BVDestroy(&matctx->M3)); |
| 1407 |
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40 | PetscCall(MatDestroy(&matctx->M1)); |
| 1408 |
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40 | PetscCall(VecDestroy(&matctx->t)); |
| 1409 |
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40 | PetscCall(PetscFree5(matctx->M4,matctx->w,matctx->wt,matctx->d,matctx->dt)); |
| 1410 |
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|
40 | if (nsubc>1) PetscCall(NRefSubcommDestroy(pep,matctx)); |
| 1411 |
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|
40 | PetscCall(PetscFree(matctx)); |
| 1412 | break; | ||
| 1413 | 60 | case PEP_REFINE_SCHEME_SCHUR: | |
| 1414 |
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60 | PetscCall(KSPGetOperators(pep->refineksp,&M,&P)); |
| 1415 |
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|
60 | PetscCall(MatShellGetContext(M,&ctx)); |
| 1416 |
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60 | PetscCall(PetscFree5(ctx->A,ctx->M4,ctx->pM4,ctx->work,ctx->fih)); |
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60 | PetscCall(MatDestroy(&ctx->M1)); |
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60 | PetscCall(BVDestroy(&ctx->M2)); |
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60 | PetscCall(BVDestroy(&ctx->M3)); |
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60 | PetscCall(BVDestroy(&ctx->W)); |
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60 | PetscCall(VecDestroy(&ctx->t)); |
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60 | PetscCall(PetscFree(ctx)); |
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60 | PetscCall(MatDestroy(&M)); |
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60 | PetscCall(MatDestroy(&P)); |
| 1425 | break; | ||
| 1426 | } | ||
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140 | PetscCall(PetscLogEventEnd(PEP_Refine,pep,0,0,0)); |
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28 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1429 | } | ||
| 1430 |