| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
| 4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
| 5 | |||
| 6 | This file is part of SLEPc. | ||
| 7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
| 8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 9 | */ | ||
| 10 | /* | ||
| 11 | SLEPc eigensolver: "davidson" | ||
| 12 | |||
| 13 | Step: improve the eigenvectors X | ||
| 14 | */ | ||
| 15 | |||
| 16 | #include "davidson.h" | ||
| 17 | #include <slepcblaslapack.h> | ||
| 18 | |||
| 19 | /**** JD update step (I - Kfg'/(g'Kf)) K(A - sB) (I - Kfg'/(g'Kf)) t = (I - Kfg'/(g'Kf))r ****/ | ||
| 20 | |||
| 21 | typedef struct { | ||
| 22 | PetscInt size_X; | ||
| 23 | KSP ksp; /* correction equation solver */ | ||
| 24 | Vec friends; /* reference vector for composite vectors */ | ||
| 25 | PetscScalar theta[4],thetai[2]; /* the shifts used in the correction eq. */ | ||
| 26 | PetscInt maxits; /* maximum number of iterations */ | ||
| 27 | PetscInt r_s,r_e; /* the selected eigenpairs to improve */ | ||
| 28 | PetscInt ksp_max_size; /* the ksp maximum subvectors size */ | ||
| 29 | PetscReal tol; /* the maximum solution tolerance */ | ||
| 30 | PetscReal lastTol; /* last tol for dynamic stopping criterion */ | ||
| 31 | PetscReal fix; /* tolerance for using the approx. eigenvalue */ | ||
| 32 | PetscBool dynamic; /* if the dynamic stopping criterion is applied */ | ||
| 33 | dvdDashboard *d; /* the current dvdDashboard reference */ | ||
| 34 | PC old_pc; /* old pc in ksp */ | ||
| 35 | BV KZ; /* KZ vecs for the projector KZ*inv(X'*KZ)*X' */ | ||
| 36 | BV U; /* new X vectors */ | ||
| 37 | PetscScalar *XKZ; /* X'*KZ */ | ||
| 38 | PetscScalar *iXKZ; /* inverse of XKZ */ | ||
| 39 | PetscInt ldXKZ; /* leading dimension of XKZ */ | ||
| 40 | PetscInt size_iXKZ; /* size of iXKZ */ | ||
| 41 | PetscInt ldiXKZ; /* leading dimension of iXKZ */ | ||
| 42 | PetscInt size_cX; /* last value of d->size_cX */ | ||
| 43 | PetscInt old_size_X; /* last number of improved vectors */ | ||
| 44 | PetscBLASInt *iXKZPivots; /* array of pivots */ | ||
| 45 | } dvdImprovex_jd; | ||
| 46 | |||
| 47 | /* | ||
| 48 | Compute (I - KZ*iXKZ*X')*V where, | ||
| 49 | V, the vectors to apply the projector, | ||
| 50 | cV, the number of vectors in V, | ||
| 51 | */ | ||
| 52 | 376614 | static PetscErrorCode dvd_improvex_apply_proj(dvdDashboard *d,Vec *V,PetscInt cV) | |
| 53 | { | ||
| 54 | 376614 | dvdImprovex_jd *data = (dvdImprovex_jd*)d->improveX_data; | |
| 55 | 376614 | PetscInt i,ldh,k,l; | |
| 56 | 376614 | PetscScalar *h; | |
| 57 | 376614 | PetscBLASInt cV_,n,info,ld; | |
| 58 | #if defined(PETSC_USE_COMPLEX) | ||
| 59 | 304319 | PetscInt j; | |
| 60 | #endif | ||
| 61 | |||
| 62 |
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376614 | PetscFunctionBegin; |
| 63 |
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376614 | PetscAssert(cV<=2,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Consistency broken"); |
| 64 | |||
| 65 | /* h <- X'*V */ | ||
| 66 |
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376614 | PetscCall(PetscMalloc1(data->size_iXKZ*cV,&h)); |
| 67 | 376614 | ldh = data->size_iXKZ; | |
| 68 |
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376614 | PetscCall(BVGetActiveColumns(data->U,&l,&k)); |
| 69 |
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376614 | PetscAssert(ldh==k,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Consistency broken"); |
| 70 |
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376614 | PetscCall(BVSetActiveColumns(data->U,0,k)); |
| 71 |
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753728 | for (i=0;i<cV;i++) { |
| 72 |
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377114 | PetscCall(BVDotVec(data->U,V[i],&h[ldh*i])); |
| 73 | #if defined(PETSC_USE_COMPLEX) | ||
| 74 |
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608638 | for (j=0; j<k; j++) h[ldh*i+j] = PetscConj(h[ldh*i+j]); |
| 75 | #endif | ||
| 76 | } | ||
| 77 |
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376614 | PetscCall(BVSetActiveColumns(data->U,l,k)); |
| 78 | |||
| 79 | /* h <- iXKZ\h */ | ||
| 80 |
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376614 | PetscCall(PetscBLASIntCast(cV,&cV_)); |
| 81 |
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376614 | PetscCall(PetscBLASIntCast(data->size_iXKZ,&n)); |
| 82 |
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376614 | PetscCall(PetscBLASIntCast(data->ldiXKZ,&ld)); |
| 83 |
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376614 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 84 |
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376614 | PetscCallBLAS("LAPACKgetrs",LAPACKgetrs_("N",&n,&cV_,data->iXKZ,&ld,data->iXKZPivots,h,&n,&info)); |
| 85 |
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376614 | PetscCall(PetscFPTrapPop()); |
| 86 |
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376614 | SlepcCheckLapackInfo("getrs",info); |
| 87 | |||
| 88 | /* V <- V - KZ*h */ | ||
| 89 |
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376614 | PetscCall(BVSetActiveColumns(data->KZ,0,k)); |
| 90 |
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753728 | for (i=0;i<cV;i++) PetscCall(BVMultVec(data->KZ,-1.0,1.0,V[i],&h[ldh*i])); |
| 91 |
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376614 | PetscCall(BVSetActiveColumns(data->KZ,l,k)); |
| 92 |
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376614 | PetscCall(PetscFree(h)); |
| 93 |
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72668 | PetscFunctionReturn(PETSC_SUCCESS); |
| 94 | } | ||
| 95 | |||
| 96 | /* | ||
| 97 | Compute (I - X*iXKZ*KZ')*V where, | ||
| 98 | V, the vectors to apply the projector, | ||
| 99 | cV, the number of vectors in V, | ||
| 100 | */ | ||
| 101 | 5814 | static PetscErrorCode dvd_improvex_applytrans_proj(dvdDashboard *d,Vec *V,PetscInt cV) | |
| 102 | { | ||
| 103 | 5814 | dvdImprovex_jd *data = (dvdImprovex_jd*)d->improveX_data; | |
| 104 | 5814 | PetscInt i,ldh,k,l; | |
| 105 | 5814 | PetscScalar *h; | |
| 106 | 5814 | PetscBLASInt cV_, n, info, ld; | |
| 107 | #if defined(PETSC_USE_COMPLEX) | ||
| 108 | 5337 | PetscInt j; | |
| 109 | #endif | ||
| 110 | |||
| 111 |
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5814 | PetscFunctionBegin; |
| 112 |
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5814 | PetscAssert(cV<=2,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Consistency broken"); |
| 113 | |||
| 114 | /* h <- KZ'*V */ | ||
| 115 |
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5814 | PetscCall(PetscMalloc1(data->size_iXKZ*cV,&h)); |
| 116 | 5814 | ldh = data->size_iXKZ; | |
| 117 |
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5814 | PetscCall(BVGetActiveColumns(data->U,&l,&k)); |
| 118 |
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5814 | PetscAssert(ldh==k,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Consistency broken"); |
| 119 |
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5814 | PetscCall(BVSetActiveColumns(data->KZ,0,k)); |
| 120 |
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11628 | for (i=0;i<cV;i++) { |
| 121 |
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5814 | PetscCall(BVDotVec(data->KZ,V[i],&h[ldh*i])); |
| 122 | #if defined(PETSC_USE_COMPLEX) | ||
| 123 |
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10674 | for (j=0;j<k;j++) h[ldh*i+j] = PetscConj(h[ldh*i+j]); |
| 124 | #endif | ||
| 125 | } | ||
| 126 |
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5814 | PetscCall(BVSetActiveColumns(data->KZ,l,k)); |
| 127 | |||
| 128 | /* h <- iXKZ\h */ | ||
| 129 |
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5814 | PetscCall(PetscBLASIntCast(cV,&cV_)); |
| 130 |
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5814 | PetscCall(PetscBLASIntCast(data->size_iXKZ,&n)); |
| 131 |
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5814 | PetscCall(PetscBLASIntCast(data->ldiXKZ,&ld)); |
| 132 |
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5814 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 133 |
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5814 | PetscCallBLAS("LAPACKgetrs",LAPACKgetrs_("C",&n,&cV_,data->iXKZ,&ld,data->iXKZPivots,h,&n,&info)); |
| 134 |
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5814 | PetscCall(PetscFPTrapPop()); |
| 135 |
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5814 | SlepcCheckLapackInfo("getrs",info); |
| 136 | |||
| 137 | /* V <- V - U*h */ | ||
| 138 |
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5814 | PetscCall(BVSetActiveColumns(data->U,0,k)); |
| 139 |
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11628 | for (i=0;i<cV;i++) PetscCall(BVMultVec(data->U,-1.0,1.0,V[i],&h[ldh*i])); |
| 140 |
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5814 | PetscCall(BVSetActiveColumns(data->U,l,k)); |
| 141 |
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5814 | PetscCall(PetscFree(h)); |
| 142 |
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1252 | PetscFunctionReturn(PETSC_SUCCESS); |
| 143 | } | ||
| 144 | |||
| 145 | 814 | static PetscErrorCode dvd_improvex_jd_end(dvdDashboard *d) | |
| 146 | { | ||
| 147 | 814 | dvdImprovex_jd *data = (dvdImprovex_jd*)d->improveX_data; | |
| 148 | |||
| 149 |
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814 | PetscFunctionBegin; |
| 150 |
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814 | PetscCall(VecDestroy(&data->friends)); |
| 151 | |||
| 152 | /* Restore the pc of ksp */ | ||
| 153 |
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814 | if (data->old_pc) { |
| 154 |
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194 | PetscCall(KSPSetPC(data->ksp, data->old_pc)); |
| 155 |
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194 | PetscCall(PCDestroy(&data->old_pc)); |
| 156 | } | ||
| 157 |
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158 | PetscFunctionReturn(PETSC_SUCCESS); |
| 158 | } | ||
| 159 | |||
| 160 | 814 | static PetscErrorCode dvd_improvex_jd_d(dvdDashboard *d) | |
| 161 | { | ||
| 162 | 814 | dvdImprovex_jd *data = (dvdImprovex_jd*)d->improveX_data; | |
| 163 | |||
| 164 |
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814 | PetscFunctionBegin; |
| 165 | /* Free local data and objects */ | ||
| 166 |
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814 | PetscCall(PetscFree(data->XKZ)); |
| 167 |
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814 | PetscCall(PetscFree(data->iXKZ)); |
| 168 |
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814 | PetscCall(PetscFree(data->iXKZPivots)); |
| 169 |
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814 | PetscCall(BVDestroy(&data->KZ)); |
| 170 |
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814 | PetscCall(BVDestroy(&data->U)); |
| 171 |
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814 | PetscCall(PetscFree(data)); |
| 172 |
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158 | PetscFunctionReturn(PETSC_SUCCESS); |
| 173 | } | ||
| 174 | |||
| 175 | /* | ||
| 176 | y <- theta[1]A*x - theta[0]*B*x | ||
| 177 | auxV, two auxiliary vectors | ||
| 178 | */ | ||
| 179 | 501620 | static inline PetscErrorCode dvd_aux_matmult(dvdImprovex_jd *data,const Vec *x,const Vec *y) | |
| 180 | { | ||
| 181 | 501620 | PetscInt n,i; | |
| 182 | 501620 | const Vec *Bx; | |
| 183 | 501620 | Vec *auxV; | |
| 184 | |||
| 185 |
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501620 | PetscFunctionBegin; |
| 186 | 501620 | n = data->r_e - data->r_s; | |
| 187 |
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1003504 | for (i=0;i<n;i++) PetscCall(MatMult(data->d->A,x[i],y[i])); |
| 188 | |||
| 189 |
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501620 | PetscCall(SlepcVecPoolGetVecs(data->d->auxV,2,&auxV)); |
| 190 |
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1003240 | for (i=0;i<n;i++) { |
| 191 | #if !defined(PETSC_USE_COMPLEX) | ||
| 192 |
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101121 | if (PetscUnlikely(data->d->eigi[data->r_s+i] != 0.0)) { |
| 193 |
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264 | if (data->d->B) { |
| 194 | ✗ | PetscCall(MatMult(data->d->B,x[i],auxV[0])); | |
| 195 | ✗ | PetscCall(MatMult(data->d->B,x[i+1],auxV[1])); | |
| 196 | ✗ | Bx = auxV; | |
| 197 | 264 | } else Bx = &x[i]; | |
| 198 | |||
| 199 | /* y_i <- [ t_2i+1*A*x_i - t_2i*Bx_i + ti_i*Bx_i+1; | ||
| 200 | y_i+1 t_2i+1*A*x_i+1 - ti_i*Bx_i - t_2i*Bx_i+1 ] */ | ||
| 201 |
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264 | PetscCall(VecAXPBYPCZ(y[i],-data->theta[2*i],data->thetai[i],data->theta[2*i+1],Bx[0],Bx[1])); |
| 202 |
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264 | PetscCall(VecAXPBYPCZ(y[i+1],-data->thetai[i],-data->theta[2*i],data->theta[2*i+1],Bx[0],Bx[1])); |
| 203 | 264 | i++; | |
| 204 | } else | ||
| 205 | #endif | ||
| 206 | { | ||
| 207 |
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501356 | if (data->d->B) { |
| 208 |
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96166 | PetscCall(MatMult(data->d->B,x[i],auxV[0])); |
| 209 | 96166 | Bx = auxV; | |
| 210 | 405190 | } else Bx = &x[i]; | |
| 211 |
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501620 | PetscCall(VecAXPBY(y[i],-data->theta[i*2],data->theta[i*2+1],Bx[0])); |
| 212 | } | ||
| 213 | } | ||
| 214 |
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501620 | PetscCall(SlepcVecPoolRestoreVecs(data->d->auxV,2,&auxV)); |
| 215 |
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88438 | PetscFunctionReturn(PETSC_SUCCESS); |
| 216 | } | ||
| 217 | |||
| 218 | /* | ||
| 219 | y <- theta[1]'*A'*x - theta[0]'*B'*x | ||
| 220 | */ | ||
| 221 | 5512 | static inline PetscErrorCode dvd_aux_matmulttrans(dvdImprovex_jd *data,const Vec *x,const Vec *y) | |
| 222 | { | ||
| 223 | 5512 | PetscInt n,i; | |
| 224 | 5512 | const Vec *Bx; | |
| 225 | 5512 | Vec *auxV; | |
| 226 | |||
| 227 |
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5512 | PetscFunctionBegin; |
| 228 | 5512 | n = data->r_e - data->r_s; | |
| 229 |
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11024 | for (i=0;i<n;i++) PetscCall(MatMultTranspose(data->d->A,x[i],y[i])); |
| 230 | |||
| 231 |
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5512 | PetscCall(SlepcVecPoolGetVecs(data->d->auxV,2,&auxV)); |
| 232 |
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11024 | for (i=0;i<n;i++) { |
| 233 | #if !defined(PETSC_USE_COMPLEX) | ||
| 234 |
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402 | if (data->d->eigi[data->r_s+i] != 0.0) { |
| 235 | ✗ | if (data->d->B) { | |
| 236 | ✗ | PetscCall(MatMultTranspose(data->d->B,x[i],auxV[0])); | |
| 237 | ✗ | PetscCall(MatMultTranspose(data->d->B,x[i+1],auxV[1])); | |
| 238 | ✗ | Bx = auxV; | |
| 239 | ✗ | } else Bx = &x[i]; | |
| 240 | |||
| 241 | /* y_i <- [ t_2i+1*A*x_i - t_2i*Bx_i - ti_i*Bx_i+1; | ||
| 242 | y_i+1 t_2i+1*A*x_i+1 + ti_i*Bx_i - t_2i*Bx_i+1 ] */ | ||
| 243 | ✗ | PetscCall(VecAXPBYPCZ(y[i],-data->theta[2*i],-data->thetai[i],data->theta[2*i+1],Bx[0],Bx[1])); | |
| 244 | ✗ | PetscCall(VecAXPBYPCZ(y[i+1],data->thetai[i],-data->theta[2*i],data->theta[2*i+1],Bx[0],Bx[1])); | |
| 245 | ✗ | i++; | |
| 246 | } else | ||
| 247 | #endif | ||
| 248 | { | ||
| 249 |
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5512 | if (data->d->B) { |
| 250 | ✗ | PetscCall(MatMultTranspose(data->d->B,x[i],auxV[0])); | |
| 251 | ✗ | Bx = auxV; | |
| 252 | 5512 | } else Bx = &x[i]; | |
| 253 |
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5512 | PetscCall(VecAXPBY(y[i],PetscConj(-data->theta[i*2]),PetscConj(data->theta[i*2+1]),Bx[0])); |
| 254 | } | ||
| 255 | } | ||
| 256 |
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5512 | PetscCall(SlepcVecPoolRestoreVecs(data->d->auxV,2,&auxV)); |
| 257 |
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1177 | PetscFunctionReturn(PETSC_SUCCESS); |
| 258 | } | ||
| 259 | |||
| 260 | 322040 | static PetscErrorCode PCApplyBA_dvd(PC pc,PCSide side,Vec in,Vec out,Vec w) | |
| 261 | { | ||
| 262 | 322040 | dvdImprovex_jd *data; | |
| 263 | 322040 | PetscInt n,i; | |
| 264 | 322040 | const Vec *inx,*outx,*wx; | |
| 265 | 322040 | Vec *auxV; | |
| 266 | 322040 | Mat A; | |
| 267 | |||
| 268 |
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322040 | PetscFunctionBegin; |
| 269 |
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322040 | PetscCall(PCGetOperators(pc,&A,NULL)); |
| 270 |
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322040 | PetscCall(MatShellGetContext(A,&data)); |
| 271 |
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322040 | PetscCall(VecCompGetSubVecs(in,NULL,&inx)); |
| 272 |
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322040 | PetscCall(VecCompGetSubVecs(out,NULL,&outx)); |
| 273 |
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322040 | PetscCall(VecCompGetSubVecs(w,NULL,&wx)); |
| 274 | 322040 | n = data->r_e - data->r_s; | |
| 275 |
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322040 | PetscCall(SlepcVecPoolGetVecs(data->d->auxV,n,&auxV)); |
| 276 |
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322040 | switch (side) { |
| 277 | 322040 | case PC_LEFT: | |
| 278 | /* aux <- theta[1]A*in - theta[0]*B*in */ | ||
| 279 |
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322040 | PetscCall(dvd_aux_matmult(data,inx,auxV)); |
| 280 | |||
| 281 | /* out <- K * aux */ | ||
| 282 |
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644344 | for (i=0;i<n;i++) PetscCall(data->d->improvex_precond(data->d,data->r_s+i,auxV[i],outx[i])); |
| 283 | break; | ||
| 284 | case PC_RIGHT: | ||
| 285 | /* aux <- K * in */ | ||
| 286 | ✗ | for (i=0;i<n;i++) PetscCall(data->d->improvex_precond(data->d,data->r_s+i,inx[i],auxV[i])); | |
| 287 | |||
| 288 | /* out <- theta[1]A*auxV - theta[0]*B*auxV */ | ||
| 289 | ✗ | PetscCall(dvd_aux_matmult(data,auxV,outx)); | |
| 290 | break; | ||
| 291 | case PC_SYMMETRIC: | ||
| 292 | /* aux <- K^{1/2} * in */ | ||
| 293 | ✗ | for (i=0;i<n;i++) PetscCall(PCApplySymmetricRight(data->old_pc,inx[i],auxV[i])); | |
| 294 | |||
| 295 | /* wx <- theta[1]A*auxV - theta[0]*B*auxV */ | ||
| 296 | ✗ | PetscCall(dvd_aux_matmult(data,auxV,wx)); | |
| 297 | |||
| 298 | /* aux <- K^{1/2} * in */ | ||
| 299 | ✗ | for (i=0;i<n;i++) PetscCall(PCApplySymmetricLeft(data->old_pc,wx[i],outx[i])); | |
| 300 | break; | ||
| 301 | ✗ | default: | |
| 302 | ✗ | SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported KSP side"); | |
| 303 | } | ||
| 304 | /* out <- out - v*(u'*out) */ | ||
| 305 |
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322040 | PetscCall(dvd_improvex_apply_proj(data->d,(Vec*)outx,n)); |
| 306 |
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322040 | PetscCall(SlepcVecPoolRestoreVecs(data->d->auxV,n,&auxV)); |
| 307 |
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62100 | PetscFunctionReturn(PETSC_SUCCESS); |
| 308 | } | ||
| 309 | |||
| 310 | 9822 | static PetscErrorCode PCApply_dvd(PC pc,Vec in,Vec out) | |
| 311 | { | ||
| 312 | 9822 | dvdImprovex_jd *data; | |
| 313 | 9822 | PetscInt n,i; | |
| 314 | 9822 | const Vec *inx, *outx; | |
| 315 | 9822 | Mat A; | |
| 316 | |||
| 317 |
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9822 | PetscFunctionBegin; |
| 318 |
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9822 | PetscCall(PCGetOperators(pc,&A,NULL)); |
| 319 |
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9822 | PetscCall(MatShellGetContext(A,&data)); |
| 320 |
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9822 | PetscCall(VecCompGetSubVecs(in,NULL,&inx)); |
| 321 |
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9822 | PetscCall(VecCompGetSubVecs(out,NULL,&outx)); |
| 322 | 9822 | n = data->r_e - data->r_s; | |
| 323 | /* out <- K * in */ | ||
| 324 |
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19649 | for (i=0;i<n;i++) PetscCall(data->d->improvex_precond(data->d,data->r_s+i,inx[i],outx[i])); |
| 325 | /* out <- out - v*(u'*out) */ | ||
| 326 |
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9822 | PetscCall(dvd_improvex_apply_proj(data->d,(Vec*)outx,n)); |
| 327 |
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2031 | PetscFunctionReturn(PETSC_SUCCESS); |
| 328 | } | ||
| 329 | |||
| 330 | 5814 | static PetscErrorCode PCApplyTranspose_dvd(PC pc,Vec in,Vec out) | |
| 331 | { | ||
| 332 | 5814 | dvdImprovex_jd *data; | |
| 333 | 5814 | PetscInt n,i; | |
| 334 | 5814 | const Vec *inx, *outx; | |
| 335 | 5814 | Vec *auxV; | |
| 336 | 5814 | Mat A; | |
| 337 | |||
| 338 |
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5814 | PetscFunctionBegin; |
| 339 |
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5814 | PetscCall(PCGetOperators(pc,&A,NULL)); |
| 340 |
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5814 | PetscCall(MatShellGetContext(A,&data)); |
| 341 |
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5814 | PetscCall(VecCompGetSubVecs(in,NULL,&inx)); |
| 342 |
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5814 | PetscCall(VecCompGetSubVecs(out,NULL,&outx)); |
| 343 | 5814 | n = data->r_e - data->r_s; | |
| 344 |
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5814 | PetscCall(SlepcVecPoolGetVecs(data->d->auxV,n,&auxV)); |
| 345 | /* auxV <- in */ | ||
| 346 |
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11628 | for (i=0;i<n;i++) PetscCall(VecCopy(inx[i],auxV[i])); |
| 347 | /* auxV <- auxV - u*(v'*auxV) */ | ||
| 348 |
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5814 | PetscCall(dvd_improvex_applytrans_proj(data->d,auxV,n)); |
| 349 | /* out <- K' * aux */ | ||
| 350 |
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11628 | for (i=0;i<n;i++) PetscCall(PCApplyTranspose(data->old_pc,auxV[i],outx[i])); |
| 351 |
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5814 | PetscCall(SlepcVecPoolRestoreVecs(data->d->auxV,n,&auxV)); |
| 352 |
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1252 | PetscFunctionReturn(PETSC_SUCCESS); |
| 353 | } | ||
| 354 | |||
| 355 | 179580 | static PetscErrorCode MatMult_dvd_jd(Mat A,Vec in,Vec out) | |
| 356 | { | ||
| 357 | 179580 | dvdImprovex_jd *data; | |
| 358 | 179580 | PetscInt n; | |
| 359 | 179580 | const Vec *inx, *outx; | |
| 360 | 179580 | PCSide side; | |
| 361 | |||
| 362 |
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179580 | PetscFunctionBegin; |
| 363 |
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179580 | PetscCall(MatShellGetContext(A,&data)); |
| 364 |
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179580 | PetscCall(VecCompGetSubVecs(in,NULL,&inx)); |
| 365 |
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179580 | PetscCall(VecCompGetSubVecs(out,NULL,&outx)); |
| 366 | 179580 | n = data->r_e - data->r_s; | |
| 367 | /* out <- theta[1]A*in - theta[0]*B*in */ | ||
| 368 |
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179580 | PetscCall(dvd_aux_matmult(data,inx,outx)); |
| 369 |
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179580 | PetscCall(KSPGetPCSide(data->ksp,&side)); |
| 370 |
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179580 | if (side == PC_RIGHT) { |
| 371 | /* out <- out - v*(u'*out) */ | ||
| 372 | ✗ | PetscCall(dvd_improvex_apply_proj(data->d,(Vec*)outx,n)); | |
| 373 | } | ||
| 374 |
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26338 | PetscFunctionReturn(PETSC_SUCCESS); |
| 375 | } | ||
| 376 | |||
| 377 | 5512 | static PetscErrorCode MatMultTranspose_dvd_jd(Mat A,Vec in,Vec out) | |
| 378 | { | ||
| 379 | 5512 | dvdImprovex_jd *data; | |
| 380 | 5512 | PetscInt n,i; | |
| 381 | 5512 | const Vec *inx,*outx,*r; | |
| 382 | 5512 | Vec *auxV; | |
| 383 | 5512 | PCSide side; | |
| 384 | |||
| 385 |
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5512 | PetscFunctionBegin; |
| 386 |
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5512 | PetscCall(MatShellGetContext(A,&data)); |
| 387 |
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5512 | PetscCall(VecCompGetSubVecs(in,NULL,&inx)); |
| 388 |
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5512 | PetscCall(VecCompGetSubVecs(out,NULL,&outx)); |
| 389 | 5512 | n = data->r_e - data->r_s; | |
| 390 |
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5512 | PetscCall(KSPGetPCSide(data->ksp,&side)); |
| 391 |
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5512 | if (side == PC_RIGHT) { |
| 392 | /* auxV <- in */ | ||
| 393 | ✗ | PetscCall(SlepcVecPoolGetVecs(data->d->auxV,n,&auxV)); | |
| 394 | ✗ | for (i=0;i<n;i++) PetscCall(VecCopy(inx[i],auxV[i])); | |
| 395 | /* auxV <- auxV - v*(u'*auxV) */ | ||
| 396 | ✗ | PetscCall(dvd_improvex_applytrans_proj(data->d,auxV,n)); | |
| 397 | ✗ | r = auxV; | |
| 398 | 5512 | } else r = inx; | |
| 399 | /* out <- theta[1]A*r - theta[0]*B*r */ | ||
| 400 |
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5512 | PetscCall(dvd_aux_matmulttrans(data,r,outx)); |
| 401 |
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5512 | if (side == PC_RIGHT) PetscCall(SlepcVecPoolRestoreVecs(data->d->auxV,n,&auxV)); |
| 402 |
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1177 | PetscFunctionReturn(PETSC_SUCCESS); |
| 403 | } | ||
| 404 | |||
| 405 | 244 | static PetscErrorCode MatCreateVecs_dvd_jd(Mat A,Vec *right,Vec *left) | |
| 406 | { | ||
| 407 | 244 | Vec *r,*l; | |
| 408 | 244 | dvdImprovex_jd *data; | |
| 409 | 244 | PetscInt n,i; | |
| 410 | |||
| 411 |
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244 | PetscFunctionBegin; |
| 412 |
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244 | PetscCall(MatShellGetContext(A,&data)); |
| 413 | 244 | n = data->ksp_max_size; | |
| 414 |
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244 | if (right) PetscCall(PetscMalloc1(n,&r)); |
| 415 |
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244 | if (left) PetscCall(PetscMalloc1(n,&l)); |
| 416 |
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526 | for (i=0;i<n;i++) PetscCall(MatCreateVecs(data->d->A,right?&r[i]:NULL,left?&l[i]:NULL)); |
| 417 |
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244 | if (right) { |
| 418 |
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244 | PetscCall(VecCreateCompWithVecs(r,n,data->friends,right)); |
| 419 |
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526 | for (i=0;i<n;i++) PetscCall(VecDestroy(&r[i])); |
| 420 | } | ||
| 421 |
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244 | if (left) { |
| 422 | ✗ | PetscCall(VecCreateCompWithVecs(l,n,data->friends,left)); | |
| 423 | ✗ | for (i=0;i<n;i++) PetscCall(VecDestroy(&l[i])); | |
| 424 | } | ||
| 425 | |||
| 426 |
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244 | if (right) PetscCall(PetscFree(r)); |
| 427 |
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244 | if (left) PetscCall(PetscFree(l)); |
| 428 |
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48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 429 | } | ||
| 430 | |||
| 431 | 814 | static PetscErrorCode dvd_improvex_jd_start(dvdDashboard *d) | |
| 432 | { | ||
| 433 | 814 | dvdImprovex_jd *data = (dvdImprovex_jd*)d->improveX_data; | |
| 434 | 814 | PetscInt rA, cA, rlA, clA; | |
| 435 | 814 | Mat A; | |
| 436 | 814 | PetscBool t; | |
| 437 | 814 | PC pc; | |
| 438 | 814 | Vec v0[2]; | |
| 439 | |||
| 440 |
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814 | PetscFunctionBegin; |
| 441 | 814 | data->size_cX = data->old_size_X = 0; | |
| 442 |
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814 | data->lastTol = data->dynamic?0.5:0.0; |
| 443 | |||
| 444 | /* Setup the ksp */ | ||
| 445 |
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814 | if (data->ksp) { |
| 446 | /* Create the reference vector */ | ||
| 447 |
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327 | PetscCall(BVGetColumn(d->eps->V,0,&v0[0])); |
| 448 | 327 | v0[1] = v0[0]; | |
| 449 |
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327 | PetscCall(VecCreateCompWithVecs(v0,data->ksp_max_size,NULL,&data->friends)); |
| 450 |
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327 | PetscCall(BVRestoreColumn(d->eps->V,0,&v0[0])); |
| 451 | |||
| 452 | /* Save the current pc and set a PCNONE */ | ||
| 453 |
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327 | PetscCall(KSPGetPC(data->ksp, &data->old_pc)); |
| 454 |
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327 | PetscCall(PetscObjectTypeCompare((PetscObject)data->old_pc,PCNONE,&t)); |
| 455 | 327 | data->lastTol = 0.5; | |
| 456 |
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327 | if (t) data->old_pc = NULL; |
| 457 | else { | ||
| 458 |
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194 | PetscCall(PetscObjectReference((PetscObject)data->old_pc)); |
| 459 |
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194 | PetscCall(PCCreate(PetscObjectComm((PetscObject)d->eps),&pc)); |
| 460 |
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194 | PetscCall(PCSetType(pc,PCSHELL)); |
| 461 |
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194 | PetscCall(PCSetOperators(pc,d->A,d->A)); |
| 462 |
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194 | PetscCall(PCSetReusePreconditioner(pc,PETSC_TRUE)); |
| 463 |
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194 | PetscCall(PCShellSetApply(pc,PCApply_dvd)); |
| 464 |
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194 | PetscCall(PCShellSetApplyBA(pc,PCApplyBA_dvd)); |
| 465 |
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194 | PetscCall(PCShellSetApplyTranspose(pc,PCApplyTranspose_dvd)); |
| 466 |
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194 | PetscCall(KSPSetPC(data->ksp,pc)); |
| 467 |
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194 | PetscCall(PCDestroy(&pc)); |
| 468 | } | ||
| 469 | |||
| 470 | /* Create the (I-v*u')*K*(A-s*B) matrix */ | ||
| 471 |
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327 | PetscCall(MatGetSize(d->A,&rA,&cA)); |
| 472 |
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327 | PetscCall(MatGetLocalSize(d->A,&rlA,&clA)); |
| 473 |
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327 | PetscCall(MatCreateShell(PetscObjectComm((PetscObject)d->A),rlA*data->ksp_max_size,clA*data->ksp_max_size,rA*data->ksp_max_size,cA*data->ksp_max_size,data,&A)); |
| 474 |
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327 | PetscCall(MatShellSetOperation(A,MATOP_MULT,(PetscErrorCodeFn*)MatMult_dvd_jd)); |
| 475 |
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327 | PetscCall(MatShellSetOperation(A,MATOP_MULT_TRANSPOSE,(PetscErrorCodeFn*)MatMultTranspose_dvd_jd)); |
| 476 |
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327 | PetscCall(MatShellSetOperation(A,MATOP_CREATE_VECS,(PetscErrorCodeFn*)MatCreateVecs_dvd_jd)); |
| 477 | |||
| 478 | /* Try to avoid KSPReset */ | ||
| 479 |
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327 | PetscCall(KSPGetOperatorsSet(data->ksp,&t,NULL)); |
| 480 |
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327 | if (t) { |
| 481 | 262 | Mat M; | |
| 482 | 262 | PetscInt rM; | |
| 483 |
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262 | PetscCall(KSPGetOperators(data->ksp,&M,NULL)); |
| 484 |
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262 | PetscCall(MatGetSize(M,&rM,NULL)); |
| 485 |
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262 | if (rM != rA*data->ksp_max_size) PetscCall(KSPReset(data->ksp)); |
| 486 | } | ||
| 487 |
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327 | PetscCall(EPS_KSPSetOperators(data->ksp,A,A)); |
| 488 |
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327 | PetscCall(KSPSetReusePreconditioner(data->ksp,PETSC_TRUE)); |
| 489 |
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327 | PetscCall(KSPSetUp(data->ksp)); |
| 490 |
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327 | PetscCall(MatDestroy(&A)); |
| 491 | } else { | ||
| 492 | 487 | data->old_pc = NULL; | |
| 493 | 487 | data->friends = NULL; | |
| 494 | } | ||
| 495 |
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814 | PetscCall(BVSetActiveColumns(data->KZ,0,0)); |
| 496 |
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814 | PetscCall(BVSetActiveColumns(data->U,0,0)); |
| 497 |
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158 | PetscFunctionReturn(PETSC_SUCCESS); |
| 498 | } | ||
| 499 | |||
| 500 | /* | ||
| 501 | Compute: u <- X, v <- K*(theta[0]*A+theta[1]*B)*X, | ||
| 502 | kr <- K^{-1}*(A-eig*B)*X, being X <- V*pX[i_s..i_e-1], Y <- W*pY[i_s..i_e-1] | ||
| 503 | where | ||
| 504 | pX,pY, the right and left eigenvectors of the projected system | ||
| 505 | ld, the leading dimension of pX and pY | ||
| 506 | */ | ||
| 507 | 54137 | static PetscErrorCode dvd_improvex_jd_proj_cuv(dvdDashboard *d,PetscInt i_s,PetscInt i_e,Vec *kr,PetscScalar *theta,PetscScalar *thetai,PetscScalar *pX,PetscScalar *pY,PetscInt ld) | |
| 508 | { | ||
| 509 | 54137 | PetscInt n=i_e-i_s,size_KZ,V_new,rm,i,lv,kv,lKZ,kKZ; | |
| 510 | 54137 | dvdImprovex_jd *data = (dvdImprovex_jd*)d->improveX_data; | |
| 511 | 54137 | const PetscScalar *array; | |
| 512 | 54137 | Mat M; | |
| 513 | 54137 | Vec u[2],v[2]; | |
| 514 | 54137 | PetscBLASInt s,ldXKZ,info; | |
| 515 | |||
| 516 |
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54137 | PetscFunctionBegin; |
| 517 | /* Check consistency */ | ||
| 518 |
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54137 | PetscCall(BVGetActiveColumns(d->eps->V,&lv,&kv)); |
| 519 | 54137 | V_new = lv - data->size_cX; | |
| 520 |
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54137 | PetscAssert(V_new<=data->old_size_X,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Consistency broken"); |
| 521 | 54137 | data->old_size_X = n; | |
| 522 | 54137 | data->size_cX = lv; | |
| 523 | |||
| 524 | /* KZ <- KZ(rm:rm+max_cX-1) */ | ||
| 525 |
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54137 | PetscCall(BVGetActiveColumns(data->KZ,&lKZ,&kKZ)); |
| 526 | 54137 | rm = PetscMax(V_new+lKZ,0); | |
| 527 |
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54137 | if (rm > 0) { |
| 528 |
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1874 | for (i=0;i<lKZ;i++) { |
| 529 | ✗ | PetscCall(BVCopyColumn(data->KZ,i+rm,i)); | |
| 530 | ✗ | PetscCall(BVCopyColumn(data->U,i+rm,i)); | |
| 531 | } | ||
| 532 | } | ||
| 533 | |||
| 534 | /* XKZ <- XKZ(rm:rm+max_cX-1,rm:rm+max_cX-1) */ | ||
| 535 |
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11412 | if (rm > 0) { |
| 536 |
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1874 | for (i=0;i<lKZ;i++) PetscCall(PetscArraycpy(&data->XKZ[i*data->ldXKZ+i],&data->XKZ[(i+rm)*data->ldXKZ+i+rm],lKZ)); |
| 537 | } | ||
| 538 | 54137 | lKZ = PetscMin(0,lKZ+V_new); | |
| 539 |
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54137 | PetscCall(BVSetActiveColumns(data->KZ,lKZ,lKZ+n)); |
| 540 |
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54137 | PetscCall(BVSetActiveColumns(data->U,lKZ,lKZ+n)); |
| 541 | |||
| 542 | /* Compute X, KZ and KR */ | ||
| 543 |
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54137 | PetscCall(BVGetColumn(data->U,lKZ,u)); |
| 544 |
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54137 | if (n>1) PetscCall(BVGetColumn(data->U,lKZ+1,&u[1])); |
| 545 |
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54137 | PetscCall(BVGetColumn(data->KZ,lKZ,v)); |
| 546 |
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54137 | if (n>1) PetscCall(BVGetColumn(data->KZ,lKZ+1,&v[1])); |
| 547 |
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54137 | PetscCall(d->improvex_jd_proj_uv(d,i_s,i_e,u,v,kr,theta,thetai,pX,pY,ld)); |
| 548 |
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54137 | PetscCall(BVRestoreColumn(data->U,lKZ,u)); |
| 549 |
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54137 | if (n>1) PetscCall(BVRestoreColumn(data->U,lKZ+1,&u[1])); |
| 550 |
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54137 | PetscCall(BVRestoreColumn(data->KZ,lKZ,v)); |
| 551 |
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54137 | if (n>1) PetscCall(BVRestoreColumn(data->KZ,lKZ+1,&v[1])); |
| 552 | |||
| 553 | /* XKZ <- U'*KZ */ | ||
| 554 |
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54137 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,lKZ+n,lKZ+n,NULL,&M)); |
| 555 |
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54137 | PetscCall(BVMatProject(data->KZ,NULL,data->U,M)); |
| 556 |
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54137 | PetscCall(MatDenseGetArrayRead(M,&array)); |
| 557 |
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108520 | for (i=lKZ;i<lKZ+n;i++) { /* upper part */ |
| 558 |
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54383 | PetscCall(PetscArraycpy(&data->XKZ[data->ldXKZ*i],&array[i*(lKZ+n)],lKZ)); |
| 559 | } | ||
| 560 |
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108520 | for (i=0;i<lKZ+n;i++) { /* lower part */ |
| 561 |
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54383 | PetscCall(PetscArraycpy(&data->XKZ[data->ldXKZ*i+lKZ],&array[i*(lKZ+n)+lKZ],n)); |
| 562 | } | ||
| 563 |
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54137 | PetscCall(MatDenseRestoreArrayRead(M,&array)); |
| 564 |
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54137 | PetscCall(MatDestroy(&M)); |
| 565 | |||
| 566 | /* iXKZ <- inv(XKZ) */ | ||
| 567 | 54137 | size_KZ = lKZ+n; | |
| 568 |
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54137 | PetscCall(PetscBLASIntCast(lKZ+n,&s)); |
| 569 | 54137 | data->ldiXKZ = data->size_iXKZ = size_KZ; | |
| 570 |
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108520 | for (i=0;i<size_KZ;i++) PetscCall(PetscArraycpy(&data->iXKZ[data->ldiXKZ*i],&data->XKZ[data->ldXKZ*i],size_KZ)); |
| 571 |
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54137 | PetscCall(PetscBLASIntCast(data->ldiXKZ,&ldXKZ)); |
| 572 |
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54137 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 573 |
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|
54137 | PetscCallBLAS("LAPACKgetrf",LAPACKgetrf_(&s,&s,data->iXKZ,&ldXKZ,data->iXKZPivots,&info)); |
| 574 |
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54137 | PetscCall(PetscFPTrapPop()); |
| 575 |
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54137 | SlepcCheckLapackInfo("getrf",info); |
| 576 |
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|
10326 | PetscFunctionReturn(PETSC_SUCCESS); |
| 577 | } | ||
| 578 | |||
| 579 | 50218 | static PetscErrorCode dvd_improvex_jd_gen(dvdDashboard *d,PetscInt r_s,PetscInt r_e,PetscInt *size_D) | |
| 580 | { | ||
| 581 | 50218 | dvdImprovex_jd *data = (dvdImprovex_jd*)d->improveX_data; | |
| 582 | 50218 | PetscInt i,j,n,maxits,maxits0,lits,s,ld,k,max_size_D,lV,kV; | |
| 583 | 50218 | PetscScalar *pX,*pY; | |
| 584 | 50218 | PetscReal tol,tol0; | |
| 585 | 50218 | Vec *kr,kr_comp,D_comp,D[2],kr0[2]; | |
| 586 | 50218 | PetscBool odd_situation = PETSC_FALSE; | |
| 587 | |||
| 588 |
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50218 | PetscFunctionBegin; |
| 589 |
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50218 | PetscCall(BVGetActiveColumns(d->eps->V,&lV,&kV)); |
| 590 | 50218 | max_size_D = d->eps->ncv-kV; | |
| 591 | /* Quick exit */ | ||
| 592 |
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50218 | if ((max_size_D == 0) || r_e-r_s <= 0) { |
| 593 | ✗ | *size_D = 0; | |
| 594 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 595 | } | ||
| 596 | |||
| 597 | 50218 | n = PetscMin(PetscMin(data->size_X, max_size_D), r_e-r_s); | |
| 598 |
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50218 | PetscAssert(n>0,PETSC_COMM_SELF,PETSC_ERR_PLIB,"n == 0"); |
| 599 |
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50218 | PetscAssert(data->size_X>=r_e-r_s,PETSC_COMM_SELF,PETSC_ERR_PLIB,"size_X < r_e-r_s"); |
| 600 | |||
| 601 |
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50218 | PetscCall(DSGetLeadingDimension(d->eps->ds,&ld)); |
| 602 | |||
| 603 | /* Restart lastTol if a new pair converged */ | ||
| 604 |
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50218 | if (data->dynamic && data->size_cX < lV) |
| 605 | 10 | data->lastTol = 0.5; | |
| 606 | |||
| 607 |
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101667 | for (i=0;i<n;i+=s) { |
| 608 | /* If the selected eigenvalue is complex, but the arithmetic is real... */ | ||
| 609 | #if !defined(PETSC_USE_COMPLEX) | ||
| 610 |
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25084 | if (d->eigi[r_s+i] != 0.0) { |
| 611 |
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246 | if (i+2 <= max_size_D) s=2; |
| 612 | else break; | ||
| 613 | } else | ||
| 614 | #endif | ||
| 615 | 29053 | s=1; | |
| 616 | |||
| 617 | 54137 | data->r_s = r_s+i; | |
| 618 | 54137 | data->r_e = r_s+i+s; | |
| 619 |
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54137 | PetscCall(SlepcVecPoolGetVecs(d->auxV,s,&kr)); |
| 620 | |||
| 621 | /* Compute theta, maximum iterations and tolerance */ | ||
| 622 | maxits = 0; | ||
| 623 | tol = 1; | ||
| 624 |
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108520 | for (j=0;j<s;j++) { |
| 625 |
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54383 | PetscCall(d->improvex_jd_lit(d,r_s+i+j,&data->theta[2*j],&data->thetai[j],&maxits0,&tol0)); |
| 626 | 54383 | maxits += maxits0; | |
| 627 | 54383 | tol *= tol0; | |
| 628 | } | ||
| 629 | 54137 | maxits/= s; | |
| 630 |
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54137 | tol = data->dynamic?data->lastTol:PetscExpReal(PetscLogReal(tol)/s); |
| 631 | |||
| 632 | /* Compute u, v and kr */ | ||
| 633 | 54137 | k = r_s+i; | |
| 634 |
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54137 | PetscCall(DSVectors(d->eps->ds,DS_MAT_X,&k,NULL)); |
| 635 | 54137 | k = r_s+i; | |
| 636 |
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54137 | PetscCall(DSVectors(d->eps->ds,DS_MAT_Y,&k,NULL)); |
| 637 |
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54137 | PetscCall(DSGetArray(d->eps->ds,DS_MAT_X,&pX)); |
| 638 |
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54137 | PetscCall(DSGetArray(d->eps->ds,DS_MAT_Y,&pY)); |
| 639 |
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54137 | PetscCall(dvd_improvex_jd_proj_cuv(d,r_s+i,r_s+i+s,kr,data->theta,data->thetai,pX,pY,ld)); |
| 640 |
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54137 | PetscCall(DSRestoreArray(d->eps->ds,DS_MAT_X,&pX)); |
| 641 |
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54137 | PetscCall(DSRestoreArray(d->eps->ds,DS_MAT_Y,&pY)); |
| 642 | |||
| 643 | /* Check if the first eigenpairs are converged */ | ||
| 644 |
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54137 | if (i == 0) { |
| 645 | 50218 | PetscInt oldnpreconv = d->npreconv; | |
| 646 |
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50218 | PetscCall(d->preTestConv(d,0,r_s+s,r_s+s,&d->npreconv)); |
| 647 |
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50218 | if (d->npreconv > oldnpreconv) break; |
| 648 | } | ||
| 649 | |||
| 650 | /* Test the odd situation of solving Ax=b with A=I */ | ||
| 651 | #if !defined(PETSC_USE_COMPLEX) | ||
| 652 |
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|
23765 | odd_situation = (data->ksp && data->theta[0] == 1. && data->theta[1] == 0. && data->thetai[0] == 0. && d->B == NULL)? PETSC_TRUE: PETSC_FALSE; |
| 653 | #else | ||
| 654 |
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27684 | odd_situation = (data->ksp && data->theta[0] == 1. && data->theta[1] == 0. && d->B == NULL)? PETSC_TRUE: PETSC_FALSE; |
| 655 | #endif | ||
| 656 | /* If JD */ | ||
| 657 |
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51449 | if (data->ksp && !odd_situation) { |
| 658 | /* kr <- -kr */ | ||
| 659 |
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|
13399 | for (j=0;j<s;j++) PetscCall(VecScale(kr[j],-1.0)); |
| 660 | |||
| 661 | /* Compose kr and D */ | ||
| 662 | 6697 | kr0[0] = kr[0]; | |
| 663 |
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6697 | kr0[1] = (s==2 ? kr[1] : NULL); |
| 664 |
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6697 | PetscCall(VecCreateCompWithVecs(kr0,data->ksp_max_size,data->friends,&kr_comp)); |
| 665 |
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6697 | PetscCall(BVGetColumn(d->eps->V,kV+i,&D[0])); |
| 666 |
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6697 | if (s==2) PetscCall(BVGetColumn(d->eps->V,kV+i+1,&D[1])); |
| 667 | 6692 | else D[1] = NULL; | |
| 668 |
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6697 | PetscCall(VecCreateCompWithVecs(D,data->ksp_max_size,data->friends,&D_comp)); |
| 669 |
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6697 | PetscCall(VecCompSetSubVecs(data->friends,s,NULL)); |
| 670 | |||
| 671 | /* Solve the correction equation */ | ||
| 672 |
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6697 | PetscCall(KSPSetTolerances(data->ksp,tol,PETSC_CURRENT,PETSC_CURRENT,maxits)); |
| 673 |
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6697 | PetscCall(KSPSolve(data->ksp,kr_comp,D_comp)); |
| 674 |
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6697 | PetscCall(KSPGetIterationNumber(data->ksp,&lits)); |
| 675 | |||
| 676 | /* Destroy the composed ks and D */ | ||
| 677 |
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6697 | PetscCall(VecDestroy(&kr_comp)); |
| 678 |
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6697 | PetscCall(VecDestroy(&D_comp)); |
| 679 |
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6697 | PetscCall(BVRestoreColumn(d->eps->V,kV+i,&D[0])); |
| 680 |
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2577 | if (s==2) PetscCall(BVRestoreColumn(d->eps->V,kV+i+1,&D[1])); |
| 681 | |||
| 682 | /* If GD */ | ||
| 683 | } else { | ||
| 684 |
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44752 | PetscCall(BVGetColumn(d->eps->V,kV+i,&D[0])); |
| 685 |
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21188 | if (s==2) PetscCall(BVGetColumn(d->eps->V,kV+i+1,&D[1])); |
| 686 |
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89735 | for (j=0;j<s;j++) PetscCall(d->improvex_precond(d,r_s+i+j,kr[j],D[j])); |
| 687 |
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44752 | PetscCall(dvd_improvex_apply_proj(d,D,s)); |
| 688 |
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44752 | PetscCall(BVRestoreColumn(d->eps->V,kV+i,&D[0])); |
| 689 |
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48872 | if (s==2) PetscCall(BVRestoreColumn(d->eps->V,kV+i+1,&D[1])); |
| 690 | } | ||
| 691 | /* Prevent that short vectors are discarded in the orthogonalization */ | ||
| 692 |
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51449 | if (i == 0 && d->eps->errest[d->nconv+r_s] > PETSC_MACHINE_EPSILON && d->eps->errest[d->nconv+r_s] < PETSC_MAX_REAL) { |
| 693 |
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|
95291 | for (j=0;j<s;j++) PetscCall(BVScaleColumn(d->eps->V,kV+i+j,1.0/d->eps->errest[d->nconv+r_s])); |
| 694 | } | ||
| 695 |
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51449 | PetscCall(SlepcVecPoolRestoreVecs(d->auxV,s,&kr)); |
| 696 | } | ||
| 697 | 50218 | *size_D = i; | |
| 698 |
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50746 | if (data->dynamic) data->lastTol = PetscMax(data->lastTol/2.0,PETSC_MACHINE_EPSILON*10.0); |
| 699 |
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9541 | PetscFunctionReturn(PETSC_SUCCESS); |
| 700 | } | ||
| 701 | |||
| 702 | 2442 | PetscErrorCode dvd_improvex_jd(dvdDashboard *d,dvdBlackboard *b,KSP ksp,PetscInt max_bs,PetscBool dynamic) | |
| 703 | { | ||
| 704 | 2442 | dvdImprovex_jd *data; | |
| 705 | 2442 | PetscBool useGD; | |
| 706 | 2442 | PC pc; | |
| 707 | 2442 | PetscInt size_P; | |
| 708 | |||
| 709 |
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2442 | PetscFunctionBegin; |
| 710 | /* Setting configuration constrains */ | ||
| 711 |
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2442 | PetscCall(PetscObjectTypeCompare((PetscObject)ksp,KSPPREONLY,&useGD)); |
| 712 | |||
| 713 | /* If the arithmetic is real and the problem is not Hermitian, then | ||
| 714 | the block size is incremented in one */ | ||
| 715 | #if !defined(PETSC_USE_COMPLEX) | ||
| 716 |
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1206 | if (!DVD_IS(d->sEP,DVD_EP_HERMITIAN)) { |
| 717 | 318 | max_bs++; | |
| 718 | 318 | b->max_size_P = PetscMax(b->max_size_P,2); | |
| 719 | } else | ||
| 720 | #endif | ||
| 721 | { | ||
| 722 | 2124 | b->max_size_P = PetscMax(b->max_size_P,1); | |
| 723 | } | ||
| 724 | 2442 | b->max_size_X = PetscMax(b->max_size_X,max_bs); | |
| 725 | 2442 | size_P = b->max_size_P; | |
| 726 | |||
| 727 | /* Setup the preconditioner */ | ||
| 728 |
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2442 | if (ksp) { |
| 729 |
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2442 | PetscCall(KSPGetPC(ksp,&pc)); |
| 730 |
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2442 | PetscCall(dvd_static_precond_PC(d,b,pc)); |
| 731 | ✗ | } else PetscCall(dvd_static_precond_PC(d,b,NULL)); | |
| 732 | |||
| 733 | /* Setup the step */ | ||
| 734 |
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2442 | if (b->state >= DVD_STATE_CONF) { |
| 735 |
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|
814 | PetscCall(PetscNew(&data)); |
| 736 | 814 | data->dynamic = dynamic; | |
| 737 |
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814 | PetscCall(PetscMalloc1(size_P*size_P,&data->XKZ)); |
| 738 |
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814 | PetscCall(PetscMalloc1(size_P*size_P,&data->iXKZ)); |
| 739 |
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814 | PetscCall(PetscMalloc1(size_P,&data->iXKZPivots)); |
| 740 | 814 | data->ldXKZ = size_P; | |
| 741 | 814 | data->size_X = b->max_size_X; | |
| 742 | 814 | d->improveX_data = data; | |
| 743 |
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814 | data->ksp = useGD? NULL: ksp; |
| 744 | 814 | data->d = d; | |
| 745 | 814 | d->improveX = dvd_improvex_jd_gen; | |
| 746 | #if !defined(PETSC_USE_COMPLEX) | ||
| 747 |
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402 | if (!DVD_IS(d->sEP,DVD_EP_HERMITIAN)) data->ksp_max_size = 2; |
| 748 | else | ||
| 749 | #endif | ||
| 750 | 708 | data->ksp_max_size = 1; | |
| 751 | /* Create various vector basis */ | ||
| 752 |
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814 | PetscCall(BVDuplicateResize(d->eps->V,size_P,&data->KZ)); |
| 753 |
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814 | PetscCall(BVSetMatrix(data->KZ,NULL,PETSC_FALSE)); |
| 754 |
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814 | PetscCall(BVDuplicate(data->KZ,&data->U)); |
| 755 | |||
| 756 |
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814 | PetscCall(EPSDavidsonFLAdd(&d->startList,dvd_improvex_jd_start)); |
| 757 |
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814 | PetscCall(EPSDavidsonFLAdd(&d->endList,dvd_improvex_jd_end)); |
| 758 |
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814 | PetscCall(EPSDavidsonFLAdd(&d->destroyList,dvd_improvex_jd_d)); |
| 759 | } | ||
| 760 |
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|
474 | PetscFunctionReturn(PETSC_SUCCESS); |
| 761 | } | ||
| 762 | |||
| 763 | #if !defined(PETSC_USE_COMPLEX) | ||
| 764 | 246 | static inline PetscErrorCode dvd_complex_rayleigh_quotient(Vec ur,Vec ui,Vec Axr,Vec Axi,Vec Bxr,Vec Bxi,PetscScalar *eigr,PetscScalar *eigi) | |
| 765 | { | ||
| 766 | 246 | PetscScalar rAr,iAr,rAi,iAi,rBr,iBr,rBi,iBi,b0,b2,b4,b6,b7; | |
| 767 | |||
| 768 |
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246 | PetscFunctionBegin; |
| 769 | /* eigr = [(rAr+iAi)*(rBr+iBi) + (rAi-iAr)*(rBi-iBr)]/k | ||
| 770 | eigi = [(rAi-iAr)*(rBr+iBi) - (rAr+iAi)*(rBi-iBr)]/k | ||
| 771 | k = (rBr+iBi)*(rBr+iBi) + (rBi-iBr)*(rBi-iBr) */ | ||
| 772 |
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246 | PetscCall(VecDotBegin(Axr,ur,&rAr)); /* r*A*r */ |
| 773 |
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246 | PetscCall(VecDotBegin(Axr,ui,&iAr)); /* i*A*r */ |
| 774 |
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246 | PetscCall(VecDotBegin(Axi,ur,&rAi)); /* r*A*i */ |
| 775 |
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246 | PetscCall(VecDotBegin(Axi,ui,&iAi)); /* i*A*i */ |
| 776 |
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246 | PetscCall(VecDotBegin(Bxr,ur,&rBr)); /* r*B*r */ |
| 777 |
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246 | PetscCall(VecDotBegin(Bxr,ui,&iBr)); /* i*B*r */ |
| 778 |
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246 | PetscCall(VecDotBegin(Bxi,ur,&rBi)); /* r*B*i */ |
| 779 |
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246 | PetscCall(VecDotBegin(Bxi,ui,&iBi)); /* i*B*i */ |
| 780 |
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246 | PetscCall(VecDotEnd(Axr,ur,&rAr)); /* r*A*r */ |
| 781 |
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246 | PetscCall(VecDotEnd(Axr,ui,&iAr)); /* i*A*r */ |
| 782 |
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246 | PetscCall(VecDotEnd(Axi,ur,&rAi)); /* r*A*i */ |
| 783 |
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246 | PetscCall(VecDotEnd(Axi,ui,&iAi)); /* i*A*i */ |
| 784 |
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246 | PetscCall(VecDotEnd(Bxr,ur,&rBr)); /* r*B*r */ |
| 785 |
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246 | PetscCall(VecDotEnd(Bxr,ui,&iBr)); /* i*B*r */ |
| 786 |
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246 | PetscCall(VecDotEnd(Bxi,ur,&rBi)); /* r*B*i */ |
| 787 |
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246 | PetscCall(VecDotEnd(Bxi,ui,&iBi)); /* i*B*i */ |
| 788 | 246 | b0 = rAr+iAi; /* rAr+iAi */ | |
| 789 | 246 | b2 = rAi-iAr; /* rAi-iAr */ | |
| 790 | 246 | b4 = rBr+iBi; /* rBr+iBi */ | |
| 791 | 246 | b6 = rBi-iBr; /* rBi-iBr */ | |
| 792 | 246 | b7 = b4*b4 + b6*b6; /* k */ | |
| 793 | 246 | *eigr = (b0*b4 + b2*b6) / b7; /* eig_r */ | |
| 794 | 246 | *eigi = (b2*b4 - b0*b6) / b7; /* eig_i */ | |
| 795 |
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246 | PetscFunctionReturn(PETSC_SUCCESS); |
| 796 | } | ||
| 797 | #endif | ||
| 798 | |||
| 799 | 54137 | static inline PetscErrorCode dvd_compute_n_rr(PetscInt i_s,PetscInt n,PetscScalar *eigr,PetscScalar *eigi,Vec *u,Vec *Ax,Vec *Bx) | |
| 800 | { | ||
| 801 | 54137 | PetscInt i; | |
| 802 | 54137 | PetscScalar b0,b1; | |
| 803 | |||
| 804 |
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54137 | PetscFunctionBegin; |
| 805 |
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108274 | for (i=0; i<n; i++) { |
| 806 | #if !defined(PETSC_USE_COMPLEX) | ||
| 807 |
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25084 | if (eigi[i_s+i] != 0.0) { |
| 808 | 246 | PetscScalar eigr0=0.0,eigi0=0.0; | |
| 809 |
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246 | PetscCall(dvd_complex_rayleigh_quotient(u[i],u[i+1],Ax[i],Ax[i+1],Bx[i],Bx[i+1],&eigr0,&eigi0)); |
| 810 |
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246 | if (PetscAbsScalar(eigr[i_s+i]-eigr0)/PetscAbsScalar(eigr[i_s+i]) > 1e-10 || PetscAbsScalar(eigi[i_s+i]-eigi0)/PetscAbsScalar(eigi[i_s+i]) > 1e-10) PetscCall(PetscInfo(u[0],"The eigenvalue %g%+gi is far from its Rayleigh quotient value %g%+gi\n",(double)eigr[i_s+i],(double)eigi[i_s+i],(double)eigr0,(double)eigi0)); |
| 811 | 246 | i++; | |
| 812 | } else | ||
| 813 | #endif | ||
| 814 | { | ||
| 815 |
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53891 | PetscCall(VecDotBegin(Ax[i],u[i],&b0)); |
| 816 |
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53891 | PetscCall(VecDotBegin(Bx[i],u[i],&b1)); |
| 817 |
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53891 | PetscCall(VecDotEnd(Ax[i],u[i],&b0)); |
| 818 |
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53891 | PetscCall(VecDotEnd(Bx[i],u[i],&b1)); |
| 819 | 53891 | b0 = b0/b1; | |
| 820 |
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54137 | if (PetscAbsScalar(eigr[i_s+i]-b0)/PetscAbsScalar(eigr[i_s+i]) > 1e-10) PetscCall(PetscInfo(u[0],"The eigenvalue %g+%g is far from its Rayleigh quotient value %g+%g\n",(double)PetscRealPart(eigr[i_s+i]),(double)PetscImaginaryPart(eigr[i_s+i]),(double)PetscRealPart(b0),(double)PetscImaginaryPart(b0))); |
| 821 | } | ||
| 822 | } | ||
| 823 |
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10326 | PetscFunctionReturn(PETSC_SUCCESS); |
| 824 | } | ||
| 825 | |||
| 826 | /* | ||
| 827 | Compute: u <- X, v <- K*(theta[0]*A+theta[1]*B)*X, | ||
| 828 | kr <- K^{-1}*(A-eig*B)*X, being X <- V*pX[i_s..i_e-1], Y <- W*pY[i_s..i_e-1] | ||
| 829 | where | ||
| 830 | pX,pY, the right and left eigenvectors of the projected system | ||
| 831 | ld, the leading dimension of pX and pY | ||
| 832 | */ | ||
| 833 | 54137 | static PetscErrorCode dvd_improvex_jd_proj_uv_KZX(dvdDashboard *d,PetscInt i_s,PetscInt i_e,Vec *u,Vec *v,Vec *kr,PetscScalar *theta,PetscScalar *thetai,PetscScalar *pX,PetscScalar *pY,PetscInt ld) | |
| 834 | { | ||
| 835 | 54137 | PetscInt n = i_e-i_s,i; | |
| 836 | 54137 | PetscScalar *b; | |
| 837 | 54137 | Vec *Ax,*Bx,*r; | |
| 838 | 54137 | Mat M; | |
| 839 | 54137 | BV X; | |
| 840 | |||
| 841 |
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54137 | PetscFunctionBegin; |
| 842 |
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54137 | PetscCall(BVDuplicateResize(d->eps->V,4,&X)); |
| 843 |
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54137 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,4,4,NULL,&M)); |
| 844 | /* u <- X(i) */ | ||
| 845 |
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54137 | PetscCall(dvd_improvex_compute_X(d,i_s,i_e,u,pX,ld)); |
| 846 | |||
| 847 | /* v <- theta[0]A*u + theta[1]*B*u */ | ||
| 848 | |||
| 849 | /* Bx <- B*X(i) */ | ||
| 850 | 54137 | Bx = kr; | |
| 851 |
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54137 | if (d->BX) { |
| 852 |
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|
26199 | for (i=i_s; i<i_e; ++i) PetscCall(BVMultVec(d->BX,1.0,0.0,Bx[i-i_s],&pX[ld*i])); |
| 853 | } else { | ||
| 854 |
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82321 | for (i=0;i<n;i++) { |
| 855 |
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41168 | if (d->B) PetscCall(MatMult(d->B, u[i], Bx[i])); |
| 856 |
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|
41168 | else PetscCall(VecCopy(u[i], Bx[i])); |
| 857 | } | ||
| 858 | } | ||
| 859 | |||
| 860 | /* Ax <- A*X(i) */ | ||
| 861 |
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54137 | PetscCall(SlepcVecPoolGetVecs(d->auxV,i_e-i_s,&r)); |
| 862 | 54137 | Ax = r; | |
| 863 |
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108520 | for (i=i_s; i<i_e; ++i) PetscCall(BVMultVec(d->AX,1.0,0.0,Ax[i-i_s],&pX[ld*i])); |
| 864 | |||
| 865 | /* v <- Y(i) */ | ||
| 866 |
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108520 | for (i=i_s; i<i_e; ++i) PetscCall(BVMultVec(d->W?d->W:d->eps->V,1.0,0.0,v[i-i_s],&pY[ld*i])); |
| 867 | |||
| 868 | /* Recompute the eigenvalue */ | ||
| 869 |
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54137 | PetscCall(dvd_compute_n_rr(i_s,n,d->eigr,d->eigi,v,Ax,Bx)); |
| 870 | |||
| 871 |
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108274 | for (i=0;i<n;i++) { |
| 872 | #if !defined(PETSC_USE_COMPLEX) | ||
| 873 |
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25084 | if (d->eigi[i_s+i] != 0.0) { |
| 874 | /* [r_i r_i+1 kr_i kr_i+1]*= [ theta_2i' 0 1 0 | ||
| 875 | 0 theta_2i' 0 1 | ||
| 876 | theta_2i+1 -thetai_i -eigr_i -eigi_i | ||
| 877 | thetai_i theta_2i+1 eigi_i -eigr_i ] */ | ||
| 878 |
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|
246 | PetscCall(MatDenseGetArrayWrite(M,&b)); |
| 879 | 246 | b[0] = b[5] = PetscConj(theta[2*i]); | |
| 880 | 246 | b[2] = b[7] = -theta[2*i+1]; | |
| 881 | 246 | b[6] = -(b[3] = thetai[i]); | |
| 882 | 246 | b[1] = b[4] = 0.0; | |
| 883 | 246 | b[8] = b[13] = 1.0/d->nX[i_s+i]; | |
| 884 | 246 | b[10] = b[15] = -d->eigr[i_s+i]/d->nX[i_s+i]; | |
| 885 | 246 | b[14] = -(b[11] = d->eigi[i_s+i]/d->nX[i_s+i]); | |
| 886 | 246 | b[9] = b[12] = 0.0; | |
| 887 |
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246 | PetscCall(MatDenseRestoreArrayWrite(M,&b)); |
| 888 |
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246 | PetscCall(BVInsertVec(X,0,Ax[i])); |
| 889 |
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246 | PetscCall(BVInsertVec(X,1,Ax[i+1])); |
| 890 |
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246 | PetscCall(BVInsertVec(X,2,Bx[i])); |
| 891 |
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246 | PetscCall(BVInsertVec(X,3,Bx[i+1])); |
| 892 |
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246 | PetscCall(BVSetActiveColumns(X,0,4)); |
| 893 |
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246 | PetscCall(BVMultInPlace(X,M,0,4)); |
| 894 |
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246 | PetscCall(BVCopyVec(X,0,Ax[i])); |
| 895 |
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246 | PetscCall(BVCopyVec(X,1,Ax[i+1])); |
| 896 |
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246 | PetscCall(BVCopyVec(X,2,Bx[i])); |
| 897 |
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246 | PetscCall(BVCopyVec(X,3,Bx[i+1])); |
| 898 | 246 | i++; | |
| 899 | } else | ||
| 900 | #endif | ||
| 901 | { | ||
| 902 | /* [Ax_i Bx_i]*= [ theta_2i' 1/nX_i | ||
| 903 | theta_2i+1 -eig_i/nX_i ] */ | ||
| 904 |
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53891 | PetscCall(MatDenseGetArrayWrite(M,&b)); |
| 905 | 53891 | b[0] = PetscConj(theta[i*2]); | |
| 906 | 53891 | b[1] = theta[i*2+1]; | |
| 907 | 53891 | b[4] = 1.0/d->nX[i_s+i]; | |
| 908 | 53891 | b[5] = -d->eigr[i_s+i]/d->nX[i_s+i]; | |
| 909 |
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53891 | PetscCall(MatDenseRestoreArrayWrite(M,&b)); |
| 910 |
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53891 | PetscCall(BVInsertVec(X,0,Ax[i])); |
| 911 |
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53891 | PetscCall(BVInsertVec(X,1,Bx[i])); |
| 912 |
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53891 | PetscCall(BVSetActiveColumns(X,0,2)); |
| 913 |
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53891 | PetscCall(BVMultInPlace(X,M,0,2)); |
| 914 |
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53891 | PetscCall(BVCopyVec(X,0,Ax[i])); |
| 915 |
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54137 | PetscCall(BVCopyVec(X,1,Bx[i])); |
| 916 | } | ||
| 917 | } | ||
| 918 |
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108520 | for (i=0; i<n; i++) d->nX[i_s+i] = 1.0; |
| 919 | |||
| 920 | /* v <- K^{-1} r = K^{-1}(theta_2i'*Ax + theta_2i+1*Bx) */ | ||
| 921 |
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108520 | for (i=0;i<n;i++) PetscCall(d->improvex_precond(d,i_s+i,r[i],v[i])); |
| 922 |
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54137 | PetscCall(SlepcVecPoolRestoreVecs(d->auxV,i_e-i_s,&r)); |
| 923 | |||
| 924 | /* kr <- P*(Ax - eig_i*Bx) */ | ||
| 925 |
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54137 | PetscCall(d->calcpairs_proj_res(d,i_s,i_e,kr)); |
| 926 |
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54137 | PetscCall(BVDestroy(&X)); |
| 927 |
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54137 | PetscCall(MatDestroy(&M)); |
| 928 |
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|
10326 | PetscFunctionReturn(PETSC_SUCCESS); |
| 929 | } | ||
| 930 | |||
| 931 | 54383 | static PetscErrorCode dvd_improvex_jd_lit_const_0(dvdDashboard *d,PetscInt i,PetscScalar* theta,PetscScalar* thetai,PetscInt *maxits,PetscReal *tol) | |
| 932 | { | ||
| 933 | 54383 | dvdImprovex_jd *data = (dvdImprovex_jd*)d->improveX_data; | |
| 934 | 54383 | PetscReal a; | |
| 935 | |||
| 936 |
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54383 | PetscFunctionBegin; |
| 937 | 54383 | a = SlepcAbsEigenvalue(d->eigr[i],d->eigi[i]); | |
| 938 | |||
| 939 |
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54383 | if (d->nR[i] < data->fix*a) { |
| 940 | 4990 | theta[0] = d->eigr[i]; | |
| 941 | 4990 | theta[1] = 1.0; | |
| 942 | #if !defined(PETSC_USE_COMPLEX) | ||
| 943 | 1896 | *thetai = d->eigi[i]; | |
| 944 | #endif | ||
| 945 | } else { | ||
| 946 | 49393 | theta[0] = d->target[0]; | |
| 947 | 49393 | theta[1] = d->target[1]; | |
| 948 | #if !defined(PETSC_USE_COMPLEX) | ||
| 949 | 23434 | *thetai = 0.0; | |
| 950 | #endif | ||
| 951 | } | ||
| 952 | |||
| 953 | #if defined(PETSC_USE_COMPLEX) | ||
| 954 |
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29053 | if (thetai) *thetai = 0.0; |
| 955 | #endif | ||
| 956 | 54383 | *maxits = data->maxits; | |
| 957 | 54383 | *tol = data->tol; | |
| 958 |
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54383 | PetscFunctionReturn(PETSC_SUCCESS); |
| 959 | } | ||
| 960 | |||
| 961 | 2442 | PetscErrorCode dvd_improvex_jd_lit_const(dvdDashboard *d,dvdBlackboard *b,PetscInt maxits,PetscReal tol,PetscReal fix) | |
| 962 | { | ||
| 963 | 2442 | dvdImprovex_jd *data = (dvdImprovex_jd*)d->improveX_data; | |
| 964 | |||
| 965 |
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2442 | PetscFunctionBegin; |
| 966 | /* Setup the step */ | ||
| 967 |
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2442 | if (b->state >= DVD_STATE_CONF) { |
| 968 | 814 | data->maxits = maxits; | |
| 969 | 814 | data->tol = tol; | |
| 970 | 814 | data->fix = fix; | |
| 971 | 814 | d->improvex_jd_lit = dvd_improvex_jd_lit_const_0; | |
| 972 | } | ||
| 973 |
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2442 | PetscFunctionReturn(PETSC_SUCCESS); |
| 974 | } | ||
| 975 | |||
| 976 | 2442 | PetscErrorCode dvd_improvex_jd_proj_uv(dvdDashboard *d,dvdBlackboard *b) | |
| 977 | { | ||
| 978 |
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2442 | PetscFunctionBegin; |
| 979 | /* Setup the step */ | ||
| 980 |
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2442 | if (b->state >= DVD_STATE_CONF) { |
| 981 | 814 | d->improvex_jd_proj_uv = dvd_improvex_jd_proj_uv_KZX; | |
| 982 | } | ||
| 983 |
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2442 | PetscFunctionReturn(PETSC_SUCCESS); |
| 984 | } | ||
| 985 | |||
| 986 | 244071 | PetscErrorCode dvd_improvex_compute_X(dvdDashboard *d,PetscInt i_s,PetscInt i_e,Vec *u_,PetscScalar *pX,PetscInt ld) | |
| 987 | { | ||
| 988 | 244071 | PetscInt n = i_e - i_s,i; | |
| 989 | 244071 | Vec *u; | |
| 990 | |||
| 991 |
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244071 | PetscFunctionBegin; |
| 992 |
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244071 | if (u_) u = u_; |
| 993 |
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25211 | else if (d->correctXnorm) PetscCall(SlepcVecPoolGetVecs(d->auxV,i_e-i_s,&u)); |
| 994 |
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244071 | if (u_ || d->correctXnorm) { |
| 995 |
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|
440810 | for (i=0;i<n;i++) PetscCall(BVMultVec(d->eps->V,1.0,0.0,u[i],&pX[ld*(i+i_s)])); |
| 996 | } | ||
| 997 | /* nX(i) <- ||X(i)|| */ | ||
| 998 |
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244071 | if (d->correctXnorm) { |
| 999 |
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25992 | for (i=0;i<n;i++) PetscCall(VecNormBegin(u[i],NORM_2,&d->nX[i_s+i])); |
| 1000 |
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|
25992 | for (i=0;i<n;i++) PetscCall(VecNormEnd(u[i],NORM_2,&d->nX[i_s+i])); |
| 1001 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1002 |
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12896 | for (i=0;i<n;i++) { |
| 1003 |
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6448 | if (d->eigi[i_s+i] != 0.0) { |
| 1004 | ✗ | d->nX[i_s+i] = d->nX[i_s+i+1] = PetscSqrtScalar(d->nX[i_s+i]*d->nX[i_s+i]+d->nX[i_s+i+1]*d->nX[i_s+i+1]); | |
| 1005 | ✗ | i++; | |
| 1006 | } | ||
| 1007 | } | ||
| 1008 | #endif | ||
| 1009 | } else { | ||
| 1010 |
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462445 | for (i=0;i<n;i++) d->nX[i_s+i] = 1.0; |
| 1011 | } | ||
| 1012 |
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244071 | if (d->correctXnorm && !u_) PetscCall(SlepcVecPoolRestoreVecs(d->auxV,i_e-i_s,&u)); |
| 1013 |
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49452 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1014 | } | ||
| 1015 |