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jroman |
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/*
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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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SLEPc - Scalable Library for Eigenvalue Problem Computations
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eromero |
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Copyright (c) 2002-2010, Universidad Politecnica de Valencia, Spain
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| 1619 |
slepc |
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| 2110 |
jroman |
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This file is part of SLEPc.
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SLEPc is free software: you can redistribute it and/or modify it under the
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terms of version 3 of the GNU Lesser General Public License as published by
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the Free Software Foundation.
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SLEPc is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
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more details.
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You should have received a copy of the GNU Lesser General Public License
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along with SLEPc. If not, see <http://www.gnu.org/licenses/>.
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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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*/
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| 1619 |
slepc |
22 |
#include "slepc.h" /*I "slepc.h" I*/
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eromero |
23 |
#include "slepceps.h" /*I "slepc.h" I*/
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| 1675 |
slepc |
24 |
#include "slepcblaslapack.h"
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| 1985 |
eromero |
25 |
#include "davidson.h"
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| 1619 |
slepc |
26 |
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| 1745 |
eromero |
27 |
PetscLogEvent SLEPC_SlepcDenseMatProd = 0;
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PetscLogEvent SLEPC_SlepcDenseMatInvProd = 0;
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| 1750 |
eromero |
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PetscLogEvent SLEPC_SlepcDenseNorm = 0;
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| 1745 |
eromero |
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PetscLogEvent SLEPC_SlepcDenseOrth = 0;
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PetscLogEvent SLEPC_SlepcDenseCopy = 0;
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PetscLogEvent SLEPC_VecsMult = 0;
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| 1630 |
slepc |
33 |
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| 1634 |
slepc |
34 |
void dvd_sum_local(void *in, void *out, PetscMPIInt *cnt,MPI_Datatype *t);
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eromero |
35 |
PetscErrorCode VecsMultS_copy_func(PetscScalar *out, PetscInt size_out,
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void *ptr);
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slepc |
37 |
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eromero |
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#undef __FUNCT__
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#define __FUNCT__ "dvd_blas_prof_init"
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PetscErrorCode dvd_blas_prof_init() {
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PetscErrorCode ierr;
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PetscFunctionBegin;
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eromero |
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if (SLEPC_SlepcDenseMatProd) PetscFunctionReturn(0);
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eromero |
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ierr = PetscLogEventRegister("DenseMatProd", EPS_COOKIE,
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&SLEPC_SlepcDenseMatProd); CHKERRQ(ierr);
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ierr = PetscLogEventRegister("DenseOrth", EPS_COOKIE,
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&SLEPC_SlepcDenseOrth); CHKERRQ(ierr);
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ierr = PetscLogEventRegister("DenseMatInvProd", EPS_COOKIE,
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&SLEPC_SlepcDenseMatInvProd); CHKERRQ(ierr);
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eromero |
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ierr = PetscLogEventRegister("DenseMatNorm", EPS_COOKIE,
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&SLEPC_SlepcDenseNorm); CHKERRQ(ierr);
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eromero |
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ierr = PetscLogEventRegister("DenseCopy", EPS_COOKIE,
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&SLEPC_SlepcDenseCopy); CHKERRQ(ierr);
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ierr = PetscLogEventRegister("VecsMult", EPS_COOKIE,
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&SLEPC_VecsMult); CHKERRQ(ierr);
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PetscFunctionReturn(0);
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}
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slepc |
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/*
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Compute C <- a*A*B + b*C, where
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ldC, the leading dimension of C,
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ldA, the leading dimension of A,
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rA, cA, rows and columns of A,
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At, if true use the transpose of A instead,
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ldB, the leading dimension of B,
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rB, cB, rows and columns of B,
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Bt, if true use the transpose of B instead
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*/
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slepc |
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#undef __FUNCT__
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#define __FUNCT__ "SlepcDenseMatProd"
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slepc |
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PetscErrorCode SlepcDenseMatProd(PetscScalar *C, PetscInt _ldC, PetscScalar b,
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PetscScalar a,
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const PetscScalar *A, PetscInt _ldA, PetscInt rA, PetscInt cA, PetscTruth At,
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const PetscScalar *B, PetscInt _ldB, PetscInt rB, PetscInt cB, PetscTruth Bt)
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{
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slepc |
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PetscErrorCode ierr;
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PetscInt tmp;
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PetscBLASInt m, n, k, ldA = _ldA, ldB = _ldB, ldC = _ldC;
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const char *N = "N", *T = "C", *qA = N, *qB = N;
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slepc |
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PetscFunctionBegin;
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slepc |
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if ((rA == 0) || (cB == 0)) { PetscFunctionReturn(0); }
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eromero |
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ierr = PetscLogEventBegin(SLEPC_SlepcDenseMatProd,0,0,0,0);CHKERRQ(ierr);
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slepc |
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/* Transpose if needed */
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if (At == PETSC_TRUE) tmp = rA, rA = cA, cA = tmp, qA = T;
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if (Bt == PETSC_TRUE) tmp = rB, rB = cB, cB = tmp, qB = T;
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/* Check size */
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if (cA != rB) {
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SETERRQ(1, "Matrix dimensions doesn't match!");
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}
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/* Do stub */
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eromero |
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if ((rA == 1) && (cA == 1) && (cB == 1)) {
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*C = *A * *B;
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m = n = k = 1;
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} else {
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m = rA; n = cB; k = cA;
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BLASgemm_(qA, qB, &m, &n, &k, &a, (PetscScalar*)A, &ldA, (PetscScalar*)B,
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&ldB, &b, C, &ldC);
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}
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slepc |
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slepc |
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ierr = PetscLogFlops(m*n*2*k);CHKERRQ(ierr);
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eromero |
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ierr = PetscLogEventEnd(SLEPC_SlepcDenseMatProd,0,0,0,0);CHKERRQ(ierr);
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slepc |
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slepc |
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PetscFunctionReturn(0);
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}
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slepc |
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/*
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eromero |
115 |
Compute C <- A*B, where
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eromero |
116 |
sC, structure of C,
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eromero |
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ldC, the leading dimension of C,
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eromero |
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sA, structure of A,
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eromero |
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ldA, the leading dimension of A,
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rA, cA, rows and columns of A,
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At, if true use the transpose of A instead,
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eromero |
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sB, structure of B,
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eromero |
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ldB, the leading dimension of B,
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rB, cB, rows and columns of B,
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Bt, if true use the transpose of B instead
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*/
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#undef __FUNCT__
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#define __FUNCT__ "SlepcDenseMatProdTriang"
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PetscErrorCode SlepcDenseMatProdTriang(
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PetscScalar *C, MatType_t sC, PetscInt ldC,
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const PetscScalar *A, MatType_t sA, PetscInt ldA, PetscInt rA, PetscInt cA,
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PetscTruth At,
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const PetscScalar *B, MatType_t sB, PetscInt ldB, PetscInt rB, PetscInt cB,
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PetscTruth Bt)
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{
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PetscErrorCode ierr;
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eromero |
137 |
PetscInt tmp;
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PetscScalar one=1.0, zero=0.0;
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eromero |
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PetscBLASInt rC, cC, _ldA = ldA, _ldB = ldB, _ldC = ldC;
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eromero |
140 |
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eromero |
141 |
PetscFunctionBegin;
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if ((rA == 0) || (cB == 0)) { PetscFunctionReturn(0); }
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/* Transpose if needed */
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if (At == PETSC_TRUE) tmp = rA, rA = cA, cA = tmp;
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if (Bt == PETSC_TRUE) tmp = rB, rB = cB, cB = tmp;
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/* Check size */
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if (cA != rB) {
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SETERRQ(1, "Matrix dimensions doesn't match!");
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PetscFunctionReturn(1);
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}
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if (sB != 0) {
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SETERRQ(1, "It doesn't support B matrix type!");
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PetscFunctionReturn(1);
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}
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159 |
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eromero |
160 |
/* Optimized version: trivial case */
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if ((rA == 1) && (cA == 1) && (cB == 1)) {
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eromero |
162 |
if ((At == PETSC_FALSE) && (Bt == PETSC_FALSE)) *C = *A * *B;
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else if ((At == PETSC_TRUE) && (Bt == PETSC_FALSE)) *C = PetscConj(*A) * *B;
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else if ((At == PETSC_FALSE) && (Bt == PETSC_TRUE)) *C = *A * PetscConj(*B);
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else if ((At == PETSC_TRUE) && (Bt == PETSC_TRUE)) *C = PetscConj(*A) * PetscConj(*B);
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eromero |
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PetscFunctionReturn(0);
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}
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168 |
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/* Optimized versions: sA == 0 && sB == 0 */
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if ((sA == 0) && (sB == 0)) {
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if (At == PETSC_TRUE) tmp = rA, rA = cA, cA = tmp;
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if (Bt == PETSC_TRUE) tmp = rB, rB = cB, cB = tmp;
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ierr = SlepcDenseMatProd(C, ldC, 0.0, 1.0, A, ldA, rA, cA, At, B, ldB, rB,
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cB, Bt); CHKERRQ(ierr);
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PetscFunctionReturn(ierr);
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}
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eromero |
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/* Optimized versions: A hermitian && (B not triang) */
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eromero |
179 |
if (DVD_IS(sA,DVD_MAT_HERMITIAN) &&
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DVD_ISNOT(sB,DVD_MAT_UTRIANG) &&
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eromero |
181 |
DVD_ISNOT(sB,DVD_MAT_LTRIANG) ) {
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eromero |
182 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseMatProd,0,0,0,0);CHKERRQ(ierr);
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rC = rA; cC = cB;
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eromero |
184 |
BLAShemm_("L", DVD_ISNOT(sA,DVD_MAT_LTRIANG)?"U":"L", &rC, &cC, &one,
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eromero |
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(PetscScalar*)A, &_ldA, (PetscScalar*)B, &_ldB, &zero, C, &_ldC);
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ierr = PetscLogFlops(rA*cB*cA); CHKERRQ(ierr);
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ierr = PetscLogEventEnd(SLEPC_SlepcDenseMatProd,0,0,0,0);CHKERRQ(ierr);
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PetscFunctionReturn(0);
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}
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190 |
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eromero |
191 |
/* Optimized versions: B hermitian && (A not triang) */
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if (DVD_IS(sB,DVD_MAT_HERMITIAN) &&
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DVD_ISNOT(sA,DVD_MAT_UTRIANG) &&
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DVD_ISNOT(sA,DVD_MAT_LTRIANG) ) {
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195 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseMatProd,0,0,0,0);CHKERRQ(ierr);
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rC = rA; cC = cB;
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BLAShemm_("R", DVD_ISNOT(sB,DVD_MAT_LTRIANG)?"U":"L", &rC, &cC, &one,
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(PetscScalar*)B, &_ldB, (PetscScalar*)A, &_ldA, &zero, C, &_ldC);
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ierr = PetscLogFlops(rA*cB*cA); CHKERRQ(ierr);
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ierr = PetscLogEventEnd(SLEPC_SlepcDenseMatProd,0,0,0,0);CHKERRQ(ierr);
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201 |
PetscFunctionReturn(0);
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eromero |
202 |
}
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eromero |
203 |
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204 |
SETERRQ(1, "It doesn't support A matrix type!");
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205 |
PetscFunctionReturn(1);
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eromero |
206 |
}
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207 |
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eromero |
208 |
/*
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| 1965 |
eromero |
209 |
Normalize the columns of the matrix A, where
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| 1750 |
eromero |
210 |
ldA, the leading dimension of A,
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| 1965 |
eromero |
211 |
rA, cA, rows and columns of A.
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212 |
if eigi is given, the pairs of contiguous columns i i+1 such as eigi[i] != 0
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are normalized as being one column.
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eromero |
214 |
*/
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215 |
#undef __FUNCT__
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216 |
#define __FUNCT__ "SlepcDenseNorm"
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217 |
PetscErrorCode SlepcDenseNorm(PetscScalar *A, PetscInt ldA, PetscInt _rA,
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| 1965 |
eromero |
218 |
PetscInt cA, PetscScalar *eigi)
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| 1750 |
eromero |
219 |
{
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220 |
PetscErrorCode ierr;
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eromero |
221 |
PetscInt i;
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222 |
PetscScalar norm, norm0;
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| 1750 |
eromero |
223 |
PetscBLASInt rA = _rA, one=1;
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| 1747 |
eromero |
224 |
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| 1750 |
eromero |
225 |
PetscFunctionBegin;
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226 |
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227 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseNorm,0,0,0,0);CHKERRQ(ierr);
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228 |
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229 |
for(i=0; i<cA; i++) {
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| 1965 |
eromero |
230 |
if(eigi && eigi[i] != 0.0) {
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231 |
norm = BLASnrm2_(&rA, &A[i*ldA], &one);
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232 |
norm0 = BLASnrm2_(&rA, &A[(i+1)*ldA], &one);
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233 |
norm = 1.0/PetscSqrtScalar(norm*norm + norm0*norm0);
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234 |
BLASscal_(&rA, &norm, &A[i*ldA], &one);
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235 |
BLASscal_(&rA, &norm, &A[(i+1)*ldA], &one);
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236 |
i++;
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237 |
} else {
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238 |
norm = BLASnrm2_(&rA, &A[i*ldA], &one);
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239 |
norm = 1.0 / norm;
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240 |
BLASscal_(&rA, &norm, &A[i*ldA], &one);
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241 |
}
|
| 1750 |
eromero |
242 |
}
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243 |
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244 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseNorm,0,0,0,0);CHKERRQ(ierr);
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245 |
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246 |
PetscFunctionReturn(0);
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247 |
}
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248 |
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249 |
|
| 1747 |
eromero |
250 |
/*
|
| 1735 |
eromero |
251 |
Compute B <- A\B, where
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252 |
ldA, the leading dimension of A,
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253 |
ldB, the leading dimension of B,
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254 |
dimA, rows and columns of A,
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255 |
rB, cB, rows and columns of B,
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256 |
auxI, auxiliary vector of size dimA,
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257 |
auxS, auxiliary vector of size cB
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258 |
*/
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259 |
#undef __FUNCT__
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260 |
#define __FUNCT__ "SlepcDenseMatInvProd"
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261 |
PetscErrorCode SlepcDenseMatInvProd(
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|
262 |
PetscScalar *A, PetscInt _ldA, PetscInt _dimA,
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263 |
PetscScalar *B, PetscInt _ldB, PetscInt rB, PetscInt _cB,
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264 |
PetscInt *auxI)
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265 |
{
|
| 1745 |
eromero |
266 |
PetscErrorCode ierr;
|
| 1735 |
eromero |
267 |
PetscBLASInt *p = (PetscBLASInt*)auxI, dimA = _dimA, cB = _cB,
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268 |
ldA = _ldA, ldB = _ldB, info;
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269 |
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270 |
PetscFunctionBegin;
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271 |
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272 |
/* Check size */
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273 |
if (_dimA != rB) {
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274 |
SETERRQ(1, "Matrix dimensions doesn't match!");
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275 |
}
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276 |
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277 |
/* Quick exit */
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278 |
if ((_dimA == 0) || (cB == 0)) { PetscFunctionReturn(0); }
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279 |
|
| 1745 |
eromero |
280 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseMatInvProd,0,0,0,0);CHKERRQ(ierr);
|
| 1744 |
eromero |
281 |
if (dimA == 1) {
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282 |
*B = *B / *A;
|
| 1745 |
eromero |
283 |
ierr = PetscLogFlops(1);CHKERRQ(ierr);
|
| 1744 |
eromero |
284 |
} else {
|
|
|
285 |
LAPACKgesv_(&dimA, &cB, A, &ldA, p, B, &ldB, &info);
|
| 1745 |
eromero |
286 |
if (info) SETERRQ1(PETSC_ERR_LIB, "Error in Lapack GESV %d", info);
|
| 1744 |
eromero |
287 |
}
|
| 1745 |
eromero |
288 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseMatInvProd,0,0,0,0);CHKERRQ(ierr);
|
| 1744 |
eromero |
289 |
|
| 1735 |
eromero |
290 |
PetscFunctionReturn(0);
|
|
|
291 |
}
|
|
|
292 |
|
|
|
293 |
/*
|
| 1743 |
eromero |
294 |
Compute A <- orth(A), where
|
|
|
295 |
ldA, the leading dimension of A,
|
|
|
296 |
rA, cA, rows and columns of A,
|
|
|
297 |
auxS, auxiliary vector of more size than cA+min(rA,cA),
|
|
|
298 |
lauxS, size of auxS,
|
|
|
299 |
ncA, new number of columns of A
|
|
|
300 |
*/
|
|
|
301 |
#undef __FUNCT__
|
|
|
302 |
#define __FUNCT__ "SlepcDenseOrth"
|
|
|
303 |
PetscErrorCode SlepcDenseOrth(PetscScalar *A, PetscInt _ldA, PetscInt _rA,
|
|
|
304 |
PetscInt _cA, PetscScalar *auxS, PetscInt _lauxS,
|
|
|
305 |
PetscInt *ncA)
|
|
|
306 |
{
|
| 1745 |
eromero |
307 |
PetscErrorCode ierr;
|
| 1743 |
eromero |
308 |
PetscBLASInt ldA = _ldA, rA = _rA, cA = _cA,
|
|
|
309 |
info, ltau = PetscMin(_cA, _rA), lw = _lauxS - ltau;
|
|
|
310 |
PetscScalar *tau = auxS, *w = tau + ltau;
|
|
|
311 |
|
|
|
312 |
PetscFunctionBegin;
|
|
|
313 |
|
|
|
314 |
/* Quick exit */
|
|
|
315 |
if ((_rA == 0) || (cA == 0)) { PetscFunctionReturn(0); }
|
|
|
316 |
|
|
|
317 |
/* Memory check */
|
|
|
318 |
if (lw < cA) {
|
|
|
319 |
SETERRQ(1, "Insufficient memory for xGEQRF!");
|
|
|
320 |
PetscFunctionReturn(1);
|
|
|
321 |
}
|
|
|
322 |
|
| 1745 |
eromero |
323 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseOrth,0,0,0,0);CHKERRQ(ierr);
|
| 1743 |
eromero |
324 |
LAPACKgeqrf_(&rA, &cA, A, &ldA, tau, w, &lw, &info);
|
|
|
325 |
if (info) SETERRQ1(PETSC_ERR_LIB, "Error in Lapack xGEQRF %d", info);
|
|
|
326 |
LAPACKorgqr_(&rA, <au, <au, A, &ldA, tau, w, &lw, &info);
|
|
|
327 |
if (info) SETERRQ1(PETSC_ERR_LIB, "Error in Lapack xORGQR %d", info);
|
| 1745 |
eromero |
328 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseOrth,0,0,0,0);CHKERRQ(ierr);
|
| 1743 |
eromero |
329 |
|
|
|
330 |
if (ncA) *ncA = ltau;
|
|
|
331 |
|
|
|
332 |
PetscFunctionReturn(0);
|
|
|
333 |
}
|
|
|
334 |
|
|
|
335 |
/*
|
|
|
336 |
Y <- X, where
|
|
|
337 |
ldX, leading dimension of X,
|
|
|
338 |
rX, cX, rows and columns of X
|
|
|
339 |
ldY, leading dimension of Y
|
|
|
340 |
*/
|
|
|
341 |
#undef __FUNCT__
|
|
|
342 |
#define __FUNCT__ "SlepcDenseCopy"
|
|
|
343 |
PetscErrorCode SlepcDenseCopy(PetscScalar *Y, PetscInt ldY, PetscScalar *X,
|
|
|
344 |
PetscInt ldX, PetscInt rX, PetscInt cX)
|
|
|
345 |
{
|
|
|
346 |
PetscErrorCode ierr;
|
| 1795 |
eromero |
347 |
PetscInt i;
|
| 1743 |
eromero |
348 |
|
|
|
349 |
PetscFunctionBegin;
|
|
|
350 |
|
|
|
351 |
if ((ldX < rX) || (ldY < rX)) {
|
|
|
352 |
SETERRQ(1, "Leading dimension error!");
|
|
|
353 |
}
|
| 1805 |
eromero |
354 |
|
|
|
355 |
/* Quick exit */
|
|
|
356 |
if (Y == X) {
|
|
|
357 |
if (ldX != ldY) {
|
|
|
358 |
SETERRQ(1, "Leading dimension error!");
|
|
|
359 |
}
|
|
|
360 |
PetscFunctionReturn(0);
|
|
|
361 |
}
|
| 1743 |
eromero |
362 |
|
| 1745 |
eromero |
363 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseCopy,0,0,0,0);CHKERRQ(ierr);
|
| 1743 |
eromero |
364 |
for(i=0; i<cX; i++) {
|
|
|
365 |
ierr = PetscMemcpy(&Y[ldY*i], &X[ldX*i], sizeof(PetscScalar)*rX);
|
|
|
366 |
CHKERRQ(ierr);
|
|
|
367 |
}
|
| 1745 |
eromero |
368 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseCopy,0,0,0,0);CHKERRQ(ierr);
|
| 1743 |
eromero |
369 |
|
|
|
370 |
PetscFunctionReturn(0);
|
|
|
371 |
}
|
|
|
372 |
|
| 1752 |
eromero |
373 |
/*
|
|
|
374 |
Y <- X, where
|
|
|
375 |
ldX, leading dimension of X,
|
|
|
376 |
rX, cX, rows and columns of X
|
|
|
377 |
ldY, leading dimension of Y
|
|
|
378 |
*/
|
|
|
379 |
#undef __FUNCT__
|
|
|
380 |
#define __FUNCT__ "SlepcDenseCopyTriang"
|
|
|
381 |
PetscErrorCode SlepcDenseCopyTriang(PetscScalar *Y, MatType_t sY, PetscInt ldY,
|
|
|
382 |
PetscScalar *X, MatType_t sX, PetscInt ldX,
|
|
|
383 |
PetscInt rX, PetscInt cX)
|
|
|
384 |
{
|
|
|
385 |
PetscErrorCode ierr;
|
|
|
386 |
PetscInt i,j,c;
|
| 1743 |
eromero |
387 |
|
| 1752 |
eromero |
388 |
PetscFunctionBegin;
|
|
|
389 |
|
|
|
390 |
if ((ldX < rX) || (ldY < rX)) {
|
|
|
391 |
SETERRQ(1, "Leading dimension error!");
|
|
|
392 |
}
|
|
|
393 |
|
|
|
394 |
if (rX != cX) {
|
|
|
395 |
SETERRQ(1, "SlepcDenseCopyTriang doesn't support rectangular matrices!");
|
|
|
396 |
}
|
|
|
397 |
|
| 1756 |
eromero |
398 |
if (DVD_IS(sX,DVD_MAT_UTRIANG) &&
|
|
|
399 |
DVD_ISNOT(sX,DVD_MAT_LTRIANG)) { /* UpTr to ... */
|
|
|
400 |
if (DVD_IS(sY,DVD_MAT_UTRIANG) &&
|
|
|
401 |
DVD_ISNOT(sY,DVD_MAT_LTRIANG)) /* ... UpTr, */
|
| 1752 |
eromero |
402 |
c = 0; /* so copy */
|
| 1756 |
eromero |
403 |
else if(DVD_ISNOT(sY,DVD_MAT_UTRIANG) &&
|
|
|
404 |
DVD_IS(sY,DVD_MAT_LTRIANG)) /* ... LoTr, */
|
| 1752 |
eromero |
405 |
c = 1; /* so transpose */
|
|
|
406 |
else /* ... Full, */
|
|
|
407 |
c = 2; /* so reflect from up */
|
| 1756 |
eromero |
408 |
} else if (DVD_ISNOT(sX,DVD_MAT_UTRIANG) &&
|
|
|
409 |
DVD_IS(sX,DVD_MAT_LTRIANG)) { /* LoTr to ... */
|
|
|
410 |
if (DVD_IS(sY,DVD_MAT_UTRIANG) &&
|
|
|
411 |
DVD_ISNOT(sY,DVD_MAT_LTRIANG)) /* ... UpTr, */
|
| 1752 |
eromero |
412 |
c = 1; /* so transpose */
|
| 1756 |
eromero |
413 |
else if(DVD_ISNOT(sY,DVD_MAT_UTRIANG) &&
|
|
|
414 |
DVD_IS(sY,DVD_MAT_LTRIANG)) /* ... LoTr, */
|
| 1752 |
eromero |
415 |
c = 0; /* so copy */
|
|
|
416 |
else /* ... Full, */
|
|
|
417 |
c = 3; /* so reflect fr. down */
|
|
|
418 |
} else /* Full to any, */
|
|
|
419 |
c = 0; /* so copy */
|
|
|
420 |
|
|
|
421 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseCopy,0,0,0,0);CHKERRQ(ierr);
|
|
|
422 |
|
|
|
423 |
switch(c) {
|
|
|
424 |
case 0: /* copy */
|
|
|
425 |
for(i=0; i<cX; i++) {
|
|
|
426 |
ierr = PetscMemcpy(&Y[ldY*i], &X[ldX*i], sizeof(PetscScalar)*rX);
|
|
|
427 |
CHKERRQ(ierr);
|
|
|
428 |
}
|
|
|
429 |
break;
|
|
|
430 |
|
|
|
431 |
case 1: /* transpose */
|
|
|
432 |
for(i=0; i<cX; i++)
|
|
|
433 |
for(j=0; j<rX; j++)
|
|
|
434 |
Y[ldY*j+i] = X[ldX*i+j];
|
|
|
435 |
break;
|
|
|
436 |
|
|
|
437 |
case 2: /* reflection from up */
|
|
|
438 |
for(i=0; i<cX; i++)
|
|
|
439 |
for(j=0; j<PetscMin(i+1,rX); j++)
|
| 1988 |
eromero |
440 |
Y[ldY*j+i] = PetscConj(Y[ldY*i+j] = X[ldX*i+j]);
|
| 1752 |
eromero |
441 |
break;
|
|
|
442 |
|
|
|
443 |
case 3: /* reflection from down */
|
|
|
444 |
for(i=0; i<cX; i++)
|
|
|
445 |
for(j=i; j<rX; j++)
|
| 1988 |
eromero |
446 |
Y[ldY*j+i] = PetscConj(Y[ldY*i+j] = X[ldX*i+j]);
|
| 1752 |
eromero |
447 |
break;
|
|
|
448 |
}
|
|
|
449 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseCopy,0,0,0,0);CHKERRQ(ierr);
|
|
|
450 |
|
|
|
451 |
PetscFunctionReturn(0);
|
|
|
452 |
}
|
|
|
453 |
|
|
|
454 |
|
| 1743 |
eromero |
455 |
/*
|
| 1675 |
slepc |
456 |
Compute Y[0..cM-1] <- alpha * X[0..cX-1] * M + beta * Y[0..cM-1],
|
|
|
457 |
where X and Y are contiguous global vectors.
|
| 1626 |
slepc |
458 |
*/
|
| 1675 |
slepc |
459 |
#undef __FUNCT__
|
|
|
460 |
#define __FUNCT__ "SlepcUpdateVectorsZ"
|
|
|
461 |
PetscErrorCode SlepcUpdateVectorsZ(Vec *Y, PetscScalar beta, PetscScalar alpha,
|
|
|
462 |
Vec *X, PetscInt cX, const PetscScalar *M, PetscInt ldM, PetscInt rM,
|
|
|
463 |
PetscInt cM)
|
| 1626 |
slepc |
464 |
{
|
|
|
465 |
PetscErrorCode ierr;
|
| 1960 |
eromero |
466 |
|
|
|
467 |
PetscFunctionBegin;
|
|
|
468 |
|
|
|
469 |
ierr = SlepcUpdateVectorsS(Y, 1, beta, alpha, X, cX, 1, M, ldM, rM, cM);
|
|
|
470 |
CHKERRQ(ierr);
|
|
|
471 |
|
|
|
472 |
PetscFunctionReturn(0);
|
|
|
473 |
}
|
|
|
474 |
|
|
|
475 |
|
|
|
476 |
/*
|
| 1965 |
eromero |
477 |
Compute Y[0:dY:cM*dY-1] <- alpha * X[0:dX:cX-1] * M + beta * Y[0:dY:cM*dY-1],
|
| 1960 |
eromero |
478 |
where X and Y are contiguous global vectors.
|
|
|
479 |
*/
|
|
|
480 |
#undef __FUNCT__
|
|
|
481 |
#define __FUNCT__ "SlepcUpdateVectorsS"
|
|
|
482 |
PetscErrorCode SlepcUpdateVectorsS(Vec *Y, PetscInt dY, PetscScalar beta,
|
|
|
483 |
PetscScalar alpha, Vec *X, PetscInt cX, PetscInt dX, const PetscScalar *M,
|
|
|
484 |
PetscInt ldM, PetscInt rM, PetscInt cM)
|
|
|
485 |
{
|
|
|
486 |
PetscErrorCode ierr;
|
| 1626 |
slepc |
487 |
PetscScalar *px, *py;
|
| 1965 |
eromero |
488 |
PetscInt rX, rY, ldX, ldY, i, rcX;
|
| 1626 |
slepc |
489 |
|
|
|
490 |
PetscFunctionBegin;
|
|
|
491 |
|
| 1965 |
eromero |
492 |
/* Compute the real number of columns */
|
|
|
493 |
rcX = cX/dX;
|
|
|
494 |
if (rcX != rM) {
|
| 1735 |
eromero |
495 |
SETERRQ(1, "Matrix dimensions doesn't match!");
|
|
|
496 |
}
|
|
|
497 |
|
| 1965 |
eromero |
498 |
if ((rcX == 0) || (rM == 0) || (cM == 0)) {
|
| 1626 |
slepc |
499 |
PetscFunctionReturn(0);
|
| 1960 |
eromero |
500 |
} else if ((Y + cM <= X) || (X + cX <= Y) ||
|
|
|
501 |
((X != Y) && ((PetscMax(dX,dY))%(PetscMin(dX,dY))!=0))) {
|
| 1626 |
slepc |
502 |
/* If Y[0..cM-1] and X[0..cX-1] are not overlapped... */
|
|
|
503 |
|
|
|
504 |
/* Get the dense matrices and dimensions associated to Y and X */
|
| 1960 |
eromero |
505 |
ierr = VecGetLocalSize(X[0], &rX); CHKERRQ(ierr);
|
|
|
506 |
ierr = VecGetLocalSize(Y[0], &rY); CHKERRQ(ierr);
|
|
|
507 |
if (rX != rY) {
|
|
|
508 |
SETERRQ(1, "The multivectors doesn't have the same dimension!");
|
| 1626 |
slepc |
509 |
}
|
|
|
510 |
ierr = VecGetArray(X[0], &px);CHKERRQ(ierr);
|
|
|
511 |
ierr = VecGetArray(Y[0], &py);CHKERRQ(ierr);
|
|
|
512 |
|
| 1960 |
eromero |
513 |
/* Update the strides */
|
|
|
514 |
ldX = rX*dX; ldY= rY*dY;
|
|
|
515 |
|
| 1626 |
slepc |
516 |
/* Do operation */
|
| 1965 |
eromero |
517 |
ierr = SlepcDenseMatProd(py, ldY, beta, alpha, px, ldX, rX, rcX,
|
| 1675 |
slepc |
518 |
PETSC_FALSE, M, ldM, rM, cM, PETSC_FALSE); CHKERRQ(ierr);
|
| 1626 |
slepc |
519 |
|
|
|
520 |
ierr = VecRestoreArray(X[0], &px);CHKERRQ(ierr);
|
| 1992 |
eromero |
521 |
ierr = PetscObjectStateDecrease((PetscObject)X[0]); CHKERRQ(ierr);
|
| 1626 |
slepc |
522 |
ierr = VecRestoreArray(Y[0], &py);CHKERRQ(ierr);
|
| 1992 |
eromero |
523 |
for(i=1; i<cM; i++) {
|
|
|
524 |
ierr = PetscObjectStateIncrease((PetscObject)Y[dY*i]); CHKERRQ(ierr);
|
|
|
525 |
}
|
| 1626 |
slepc |
526 |
|
| 1960 |
eromero |
527 |
} else if ((Y >= X) && (beta == 0.0) && (dY == dX)) {
|
| 1626 |
slepc |
528 |
/* If not, call to SlepcUpdateVectors */
|
| 1965 |
eromero |
529 |
ierr = SlepcUpdateStrideVectors(cX, X, Y-X, dX, Y-X+cM*dX, M-ldM*(Y-X),
|
|
|
530 |
ldM, PETSC_FALSE); CHKERRQ(ierr);
|
| 1675 |
slepc |
531 |
if (alpha != 1.0)
|
|
|
532 |
for (i=0; i<cM; i++) {
|
|
|
533 |
ierr = VecScale(Y[i], alpha); CHKERRQ(ierr);
|
|
|
534 |
}
|
| 1626 |
slepc |
535 |
} else {
|
|
|
536 |
SETERRQ(1, "I don't support this case!");
|
|
|
537 |
}
|
|
|
538 |
|
|
|
539 |
PetscFunctionReturn(0);
|
|
|
540 |
}
|
|
|
541 |
|
| 1965 |
eromero |
542 |
/*
|
|
|
543 |
Compute X <- alpha * X[0:dX:cX-1] * M
|
|
|
544 |
where X is a matrix with non-consecutive columns
|
|
|
545 |
*/
|
|
|
546 |
#undef __FUNCT__
|
|
|
547 |
#define __FUNCT__ "SlepcUpdateVectorsD"
|
|
|
548 |
PetscErrorCode SlepcUpdateVectorsD(Vec *X, PetscInt cX, PetscScalar alpha,
|
|
|
549 |
const PetscScalar *M, PetscInt ldM, PetscInt rM, PetscInt cM,
|
|
|
550 |
PetscScalar *work, PetscInt lwork)
|
|
|
551 |
{
|
|
|
552 |
PetscErrorCode ierr;
|
|
|
553 |
PetscScalar **px, *Y, *Z;
|
|
|
554 |
PetscInt rX, i, j, rY, rY0, ldY;
|
| 1960 |
eromero |
555 |
|
| 1965 |
eromero |
556 |
PetscFunctionBegin;
|
|
|
557 |
|
|
|
558 |
if (cX != rM) {
|
|
|
559 |
SETERRQ(1, "Matrix dimensions doesn't match!");
|
|
|
560 |
}
|
|
|
561 |
|
|
|
562 |
rY = (lwork/2)/cX;
|
|
|
563 |
if (rY <= 0) {
|
|
|
564 |
SETERRQ(1, "Insufficient work space given!");
|
|
|
565 |
}
|
|
|
566 |
Y = work; Z = &Y[cX*rY]; ldY = rY;
|
|
|
567 |
|
|
|
568 |
if ((cX == 0) || (rM == 0) || (cM == 0)) {
|
|
|
569 |
PetscFunctionReturn(0);
|
|
|
570 |
}
|
|
|
571 |
|
|
|
572 |
/* Get the dense vectors associated to the columns of X */
|
|
|
573 |
ierr = PetscMalloc(sizeof(Vec)*cX, &px); CHKERRQ(ierr);
|
|
|
574 |
for(i=0; i<cX; i++) {
|
|
|
575 |
ierr = VecGetArray(X[i], &px[i]); CHKERRQ(ierr);
|
|
|
576 |
}
|
|
|
577 |
ierr = VecGetLocalSize(X[0], &rX); CHKERRQ(ierr);
|
|
|
578 |
|
|
|
579 |
for(i=0, rY0=0; i<rX; i+=rY0) {
|
|
|
580 |
rY0 = PetscMin(rY, rX-i);
|
|
|
581 |
|
|
|
582 |
/* Y <- X[i0:i1,:] */
|
|
|
583 |
for(j=0; j<cX; j++) {
|
|
|
584 |
ierr = SlepcDenseCopy(&Y[ldY*j], ldY, px[j]+i, rX, rY0, 1);
|
|
|
585 |
CHKERRQ(ierr);
|
|
|
586 |
}
|
|
|
587 |
|
|
|
588 |
/* Z <- Y * M */
|
|
|
589 |
ierr = SlepcDenseMatProd(Z, ldY, 0.0, alpha, Y, ldY, rY0, cX, PETSC_FALSE,
|
|
|
590 |
M, ldM, rM, cM, PETSC_FALSE);
|
|
|
591 |
CHKERRQ(ierr);
|
|
|
592 |
|
|
|
593 |
/* X <- Z */
|
|
|
594 |
for(j=0; j<cM; j++) {
|
|
|
595 |
ierr = SlepcDenseCopy(px[j]+i, rX, &Z[j*ldY], ldY, rY0, 1);
|
|
|
596 |
CHKERRQ(ierr);
|
|
|
597 |
}
|
|
|
598 |
}
|
|
|
599 |
|
|
|
600 |
for(i=0; i<cX; i++) {
|
|
|
601 |
ierr = VecRestoreArray(X[i], &px[i]); CHKERRQ(ierr);
|
|
|
602 |
}
|
|
|
603 |
ierr = PetscFree(px); CHKERRQ(ierr);
|
|
|
604 |
|
|
|
605 |
PetscFunctionReturn(0);
|
|
|
606 |
}
|
|
|
607 |
|
|
|
608 |
|
|
|
609 |
|
| 1634 |
slepc |
610 |
/* Computes M <- [ M(0:sU-1, 0:sV-1) W(0:sU-1, sV:eV-1) ]
|
|
|
611 |
[ W(sU:eU-1, 0:sV-1) W(sU:eU-1, sV:eV-1) ]
|
|
|
612 |
where W = U' * V.
|
| 1640 |
slepc |
613 |
workS0 and workS1 are an auxiliary scalar vector of size
|
|
|
614 |
(eU-sU)*sV+(eV-sV)*eU. But, if sU == 0, sV == 0 and eU == ldM, only workS0
|
|
|
615 |
is needed, and of size eU*eV.
|
| 1634 |
slepc |
616 |
*/
|
|
|
617 |
|
| 1675 |
slepc |
618 |
#undef __FUNCT__
|
|
|
619 |
#define __FUNCT__ "VecsMult"
|
| 1747 |
eromero |
620 |
PetscErrorCode VecsMult(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
| 1634 |
slepc |
621 |
Vec *U, PetscInt sU, PetscInt eU,
|
|
|
622 |
Vec *V, PetscInt sV, PetscInt eV,
|
| 1640 |
slepc |
623 |
PetscScalar *workS0, PetscScalar *workS1)
|
| 1634 |
slepc |
624 |
{
|
|
|
625 |
PetscErrorCode ierr;
|
| 1640 |
slepc |
626 |
PetscInt ldU, ldV, i, j, k;
|
|
|
627 |
PetscScalar *pu, *pv, *W, *Wr;
|
| 1634 |
slepc |
628 |
|
|
|
629 |
PetscFunctionBegin;
|
|
|
630 |
|
|
|
631 |
/* Check if quick exit */
|
|
|
632 |
if ((eU-sU == 0) || (eV-sV == 0))
|
|
|
633 |
PetscFunctionReturn(0);
|
|
|
634 |
|
|
|
635 |
/* Get the dense matrices and dimensions associated to U and V */
|
|
|
636 |
ierr = VecGetLocalSize(U[0], &ldU); CHKERRQ(ierr);
|
|
|
637 |
ierr = VecGetLocalSize(V[0], &ldV); CHKERRQ(ierr);
|
|
|
638 |
if (ldU != ldV) {
|
|
|
639 |
SETERRQ(1, "Matrix dimensions doesn't match!");
|
|
|
640 |
}
|
|
|
641 |
ierr = VecGetArray(U[0], &pu);CHKERRQ(ierr);
|
|
|
642 |
ierr = VecGetArray(V[0], &pv);CHKERRQ(ierr);
|
|
|
643 |
|
| 1640 |
slepc |
644 |
if (workS0)
|
|
|
645 |
W = workS0;
|
| 1634 |
slepc |
646 |
else {
|
| 1640 |
slepc |
647 |
ierr = PetscMalloc(sizeof(PetscScalar)*((eU-sU)*sV+(eV-sV)*eU), &W);
|
|
|
648 |
CHKERRQ(ierr);
|
| 1634 |
slepc |
649 |
}
|
|
|
650 |
|
| 1745 |
eromero |
651 |
ierr = PetscLogEventBegin(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
652 |
|
| 1640 |
slepc |
653 |
if ((sU == 0) && (sV == 0) && (eU == ldM)) {
|
|
|
654 |
/* Use the smart memory usage version */
|
| 1634 |
slepc |
655 |
|
| 1640 |
slepc |
656 |
/* W <- U' * V */
|
| 1747 |
eromero |
657 |
ierr = SlepcDenseMatProdTriang(W, sM, eU,
|
|
|
658 |
pu, 0, ldU, ldU, eU, PETSC_TRUE,
|
|
|
659 |
pv, 0, ldV, ldV, eV, PETSC_FALSE);
|
| 1640 |
slepc |
660 |
CHKERRQ(ierr);
|
|
|
661 |
|
|
|
662 |
/* ReduceAll(W, SUM) */
|
| 1899 |
eromero |
663 |
ierr = MPI_Allreduce(W, M, eU*eV, MPIU_SCALAR, MPIU_SUM,
|
| 1640 |
slepc |
664 |
((PetscObject)U[0])->comm); CHKERRQ(ierr);
|
| 1747 |
eromero |
665 |
/* Full M matrix */
|
| 1756 |
eromero |
666 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
667 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
| 1640 |
slepc |
668 |
if (workS1)
|
|
|
669 |
Wr = workS1;
|
|
|
670 |
else {
|
|
|
671 |
ierr = PetscMalloc(sizeof(PetscScalar)*((eU-sU)*sV+(eV-sV)*eU), &Wr);
|
|
|
672 |
CHKERRQ(ierr);
|
|
|
673 |
}
|
| 1747 |
eromero |
674 |
|
| 1640 |
slepc |
675 |
/* W(0:(eU-sU)*sV-1) <- U(sU:eU-1)' * V(0:sV-1) */
|
|
|
676 |
ierr = SlepcDenseMatProd(W, eU-sU, 0.0, 1.0,
|
|
|
677 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
678 |
pv , ldV, ldV, sV, PETSC_FALSE);
|
|
|
679 |
CHKERRQ(ierr);
|
|
|
680 |
|
|
|
681 |
/* W((eU-sU)*sV:(eU-sU)*sV+(eV-sV)*eU-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
682 |
ierr = SlepcDenseMatProd(W+(eU-sU)*sV, eU, 0.0, 1.0,
|
|
|
683 |
pu, ldU, ldU, eU, PETSC_TRUE,
|
|
|
684 |
pv+ldV*sV, ldV, ldV, eV-sV, PETSC_FALSE);
|
|
|
685 |
CHKERRQ(ierr);
|
|
|
686 |
|
|
|
687 |
/* ReduceAll(W, SUM) */
|
|
|
688 |
ierr = MPI_Allreduce(W, Wr, (eU-sU)*sV+(eV-sV)*eU, MPIU_SCALAR,
|
| 1899 |
eromero |
689 |
MPIU_SUM, ((PetscObject)U[0])->comm); CHKERRQ(ierr);
|
| 1640 |
slepc |
690 |
|
|
|
691 |
/* M(...,...) <- W */
|
|
|
692 |
for (i=0,k=0; i<sV; i++)
|
|
|
693 |
for (j=ldM*i+sU; j<ldM*i+eU; j++,k++) M[j] = Wr[k];
|
|
|
694 |
for (i=sV; i<eV; i++)
|
|
|
695 |
for (j=ldM*i; j<ldM*i+eU; j++,k++) M[j] = Wr[k];
|
|
|
696 |
|
| 1747 |
eromero |
697 |
if (!workS1) {
|
|
|
698 |
ierr = PetscFree(Wr); CHKERRQ(ierr);
|
|
|
699 |
}
|
| 1745 |
eromero |
700 |
|
| 1747 |
eromero |
701 |
/* Upper triangular M matrix */
|
| 1756 |
eromero |
702 |
} else if (DVD_IS(sM,DVD_MAT_UTRIANG) &&
|
|
|
703 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
| 1747 |
eromero |
704 |
if (workS1)
|
|
|
705 |
Wr = workS1;
|
|
|
706 |
else {
|
|
|
707 |
ierr = PetscMalloc(sizeof(PetscScalar)*(eV-sV)*eU, &Wr);
|
|
|
708 |
CHKERRQ(ierr);
|
|
|
709 |
}
|
|
|
710 |
|
|
|
711 |
/* W(0:(eV-sV)*eU-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
712 |
ierr = SlepcDenseMatProd(W, eU, 0.0, 1.0,
|
|
|
713 |
pu, ldU, ldU, eU, PETSC_TRUE,
|
|
|
714 |
pv+ldV*sV, ldV, ldV, eV-sV, PETSC_FALSE);
|
|
|
715 |
CHKERRQ(ierr);
|
|
|
716 |
|
|
|
717 |
/* ReduceAll(W, SUM) */
|
| 1899 |
eromero |
718 |
ierr = MPI_Allreduce(W, Wr, (eV-sV)*eU, MPIU_SCALAR, MPIU_SUM,
|
| 1747 |
eromero |
719 |
((PetscObject)U[0])->comm); CHKERRQ(ierr);
|
|
|
720 |
|
|
|
721 |
/* M(...,...) <- W */
|
|
|
722 |
for (i=sV,k=0; i<eV; i++)
|
|
|
723 |
for (j=ldM*i; j<ldM*i+eU; j++,k++) M[j] = Wr[k];
|
|
|
724 |
|
| 1640 |
slepc |
725 |
if (!workS1) {
|
|
|
726 |
ierr = PetscFree(Wr); CHKERRQ(ierr);
|
|
|
727 |
}
|
| 1747 |
eromero |
728 |
|
|
|
729 |
/* Lower triangular M matrix */
|
| 1756 |
eromero |
730 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
731 |
DVD_IS(sM,DVD_MAT_LTRIANG)) {
|
| 1747 |
eromero |
732 |
if (workS1)
|
|
|
733 |
Wr = workS1;
|
|
|
734 |
else {
|
|
|
735 |
ierr = PetscMalloc(sizeof(PetscScalar)*(eU-sU)*eV, &Wr);
|
|
|
736 |
CHKERRQ(ierr);
|
|
|
737 |
}
|
|
|
738 |
|
|
|
739 |
/* W(0:(eU-sU)*eV-1) <- U(sU:eU-1)' * V(0:eV-1) */
|
|
|
740 |
ierr = SlepcDenseMatProd(W, eU-sU, 0.0, 1.0,
|
|
|
741 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
742 |
pv , ldV, ldV, eV, PETSC_FALSE);
|
|
|
743 |
CHKERRQ(ierr);
|
|
|
744 |
|
|
|
745 |
/* ReduceAll(W, SUM) */
|
| 1899 |
eromero |
746 |
ierr = MPI_Allreduce(W, Wr, (eU-sU)*eV, MPIU_SCALAR, MPIU_SUM,
|
| 1747 |
eromero |
747 |
((PetscObject)U[0])->comm); CHKERRQ(ierr);
|
|
|
748 |
|
|
|
749 |
/* M(...,...) <- W */
|
|
|
750 |
for (i=0,k=0; i<eV; i++)
|
|
|
751 |
for (j=ldM*i+sU; j<ldM*i+eU; j++,k++) M[j] = Wr[k];
|
|
|
752 |
|
|
|
753 |
if (!workS1) {
|
|
|
754 |
ierr = PetscFree(Wr); CHKERRQ(ierr);
|
|
|
755 |
}
|
| 1634 |
slepc |
756 |
}
|
|
|
757 |
|
| 1747 |
eromero |
758 |
ierr = PetscLogEventEnd(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
759 |
|
| 1640 |
slepc |
760 |
if (!workS0) {
|
| 1634 |
slepc |
761 |
ierr = PetscFree(W); CHKERRQ(ierr);
|
|
|
762 |
}
|
|
|
763 |
|
|
|
764 |
ierr = VecRestoreArray(U[0], &pu); CHKERRQ(ierr);
|
| 1992 |
eromero |
765 |
ierr = PetscObjectStateDecrease((PetscObject)U[0]); CHKERRQ(ierr);
|
| 1634 |
slepc |
766 |
ierr = VecRestoreArray(V[0], &pv); CHKERRQ(ierr);
|
| 1992 |
eromero |
767 |
ierr = PetscObjectStateDecrease((PetscObject)V[0]); CHKERRQ(ierr);
|
| 1634 |
slepc |
768 |
|
|
|
769 |
PetscFunctionReturn(0);
|
|
|
770 |
}
|
|
|
771 |
|
| 1795 |
eromero |
772 |
|
|
|
773 |
|
| 1753 |
eromero |
774 |
/* Computes M <- [ M(0:sU-1, 0:sV-1) W(0:sU-1, sV:eV-1) ]
|
|
|
775 |
[ W(sU:eU-1, 0:sV-1) W(sU:eU-1, sV:eV-1) ]
|
| 1808 |
eromero |
776 |
where W = local_U' * local_V. Needs VecsMultIb for completing the operation!
|
| 1795 |
eromero |
777 |
workS0 and workS1 are an auxiliary scalar vector of size
|
|
|
778 |
(eU-sU)*sV+(eV-sV)*eU. But, if sU == 0, sV == 0 and eU == ldM, only workS0
|
|
|
779 |
is needed, and of size eU*eV.
|
|
|
780 |
*/
|
|
|
781 |
|
|
|
782 |
#undef __FUNCT__
|
|
|
783 |
#define __FUNCT__ "VecsMultIa"
|
|
|
784 |
PetscErrorCode VecsMultIa(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
|
|
785 |
Vec *U, PetscInt sU, PetscInt eU,
|
|
|
786 |
Vec *V, PetscInt sV, PetscInt eV)
|
|
|
787 |
{
|
|
|
788 |
PetscErrorCode ierr;
|
|
|
789 |
PetscInt ldU, ldV;
|
|
|
790 |
PetscScalar *pu, *pv;
|
|
|
791 |
|
|
|
792 |
PetscFunctionBegin;
|
|
|
793 |
|
|
|
794 |
/* Check if quick exit */
|
|
|
795 |
if ((eU-sU == 0) || (eV-sV == 0))
|
|
|
796 |
PetscFunctionReturn(0);
|
|
|
797 |
|
|
|
798 |
/* Get the dense matrices and dimensions associated to U and V */
|
|
|
799 |
ierr = VecGetLocalSize(U[0], &ldU); CHKERRQ(ierr);
|
|
|
800 |
ierr = VecGetLocalSize(V[0], &ldV); CHKERRQ(ierr);
|
|
|
801 |
if (ldU != ldV) {
|
|
|
802 |
SETERRQ(1, "Matrix dimensions doesn't match!");
|
|
|
803 |
}
|
|
|
804 |
ierr = VecGetArray(U[0], &pu);CHKERRQ(ierr);
|
|
|
805 |
ierr = VecGetArray(V[0], &pv);CHKERRQ(ierr);
|
|
|
806 |
|
|
|
807 |
if ((sU == 0) && (sV == 0) && (eU == ldM)) {
|
|
|
808 |
/* M <- local_U' * local_V */
|
|
|
809 |
ierr = SlepcDenseMatProdTriang(M, sM, eU,
|
|
|
810 |
pu, 0, ldU, ldU, eU, PETSC_TRUE,
|
|
|
811 |
pv, 0, ldV, ldV, eV, PETSC_FALSE);
|
|
|
812 |
CHKERRQ(ierr);
|
|
|
813 |
|
|
|
814 |
/* Full M matrix */
|
|
|
815 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
816 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
|
|
817 |
/* M(sU:eU-1,0:sV-1) <- U(sU:eU-1)' * V(0:sV-1) */
|
|
|
818 |
ierr = SlepcDenseMatProd(&M[sU], ldM, 0.0, 1.0,
|
|
|
819 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
820 |
pv , ldV, ldV, sV, PETSC_FALSE);
|
|
|
821 |
CHKERRQ(ierr);
|
|
|
822 |
|
|
|
823 |
/* M(0:eU-1,sV:eV-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
824 |
ierr = SlepcDenseMatProd(&M[ldM*sV], ldM, 0.0, 1.0,
|
|
|
825 |
pu, ldU, ldU, eU, PETSC_TRUE,
|
|
|
826 |
pv+ldV*sV, ldV, ldV, eV-sV, PETSC_FALSE);
|
|
|
827 |
CHKERRQ(ierr);
|
|
|
828 |
|
|
|
829 |
/* Other structures */
|
|
|
830 |
} else {
|
|
|
831 |
SETERRQ(1, "Matrix structure doesn't support by VecsMultI!");
|
|
|
832 |
PetscFunctionReturn(1);
|
|
|
833 |
}
|
|
|
834 |
|
|
|
835 |
ierr = VecRestoreArray(U[0], &pu); CHKERRQ(ierr);
|
| 1992 |
eromero |
836 |
ierr = PetscObjectStateDecrease((PetscObject)U[0]); CHKERRQ(ierr);
|
| 1795 |
eromero |
837 |
ierr = VecRestoreArray(V[0], &pv); CHKERRQ(ierr);
|
| 1992 |
eromero |
838 |
ierr = PetscObjectStateDecrease((PetscObject)V[0]); CHKERRQ(ierr);
|
| 1795 |
eromero |
839 |
|
|
|
840 |
PetscFunctionReturn(0);
|
|
|
841 |
}
|
|
|
842 |
|
|
|
843 |
|
| 1808 |
eromero |
844 |
/* Computes M <- nprocs*M
|
|
|
845 |
where nprocs is the number of processors.
|
|
|
846 |
*/
|
|
|
847 |
|
|
|
848 |
#undef __FUNCT__
|
|
|
849 |
#define __FUNCT__ "VecsMultIc"
|
|
|
850 |
PetscErrorCode VecsMultIc(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
|
|
851 |
PetscInt rM, PetscInt cM, Vec V)
|
|
|
852 |
{
|
|
|
853 |
PetscInt i,j,n;
|
|
|
854 |
|
|
|
855 |
PetscFunctionBegin;
|
|
|
856 |
|
|
|
857 |
/* Check if quick exit */
|
|
|
858 |
if ((rM == 0) || (cM == 0))
|
|
|
859 |
PetscFunctionReturn(0);
|
|
|
860 |
|
|
|
861 |
if (sM != 0) {
|
|
|
862 |
SETERRQ(1, "Matrix structure doesn't support by VecsMultIc!");
|
|
|
863 |
PetscFunctionReturn(1);
|
|
|
864 |
}
|
|
|
865 |
|
|
|
866 |
MPI_Comm_size(((PetscObject)V)->comm, &n);
|
|
|
867 |
|
|
|
868 |
for(i=0; i<cM; i++)
|
|
|
869 |
for(j=0; j<rM; j++)
|
|
|
870 |
M[ldM*i+j]/= (PetscScalar)n;
|
|
|
871 |
|
|
|
872 |
PetscFunctionReturn(0);
|
|
|
873 |
}
|
|
|
874 |
|
|
|
875 |
|
| 1795 |
eromero |
876 |
/* Computes N <- Allreduce( [ M(0:sU-1, 0:sV-1) W(0:sU-1, sV:eV-1) ] )
|
|
|
877 |
( [ W(sU:eU-1, 0:sV-1) W(sU:eU-1, sV:eV-1) ] )
|
| 1753 |
eromero |
878 |
where W = U' * V.
|
| 1795 |
eromero |
879 |
workS0 and workS1 are an auxiliary scalar vector of size
|
|
|
880 |
(eU-sU)*sV+(eV-sV)*eU. But, if sU == 0, sV == 0 and eU == ldM, only workS0
|
|
|
881 |
is needed, and of size eU*eV.
|
|
|
882 |
*/
|
|
|
883 |
|
|
|
884 |
#undef __FUNCT__
|
|
|
885 |
#define __FUNCT__ "VecsMultIb"
|
|
|
886 |
PetscErrorCode VecsMultIb(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
|
|
887 |
PetscInt rM, PetscInt cM, PetscScalar *auxS,
|
|
|
888 |
Vec V)
|
|
|
889 |
{
|
|
|
890 |
PetscErrorCode ierr;
|
|
|
891 |
PetscScalar *W, *Wr;
|
|
|
892 |
|
|
|
893 |
PetscFunctionBegin;
|
|
|
894 |
|
|
|
895 |
/* Check if quick exit */
|
|
|
896 |
if ((rM == 0) || (cM == 0))
|
|
|
897 |
PetscFunctionReturn(0);
|
|
|
898 |
|
|
|
899 |
if (auxS)
|
|
|
900 |
W = auxS;
|
|
|
901 |
else {
|
|
|
902 |
ierr = PetscMalloc(sizeof(PetscScalar)*rM*cM*2, &W);
|
|
|
903 |
CHKERRQ(ierr);
|
|
|
904 |
}
|
|
|
905 |
Wr = W + rM*cM;
|
|
|
906 |
|
|
|
907 |
ierr = PetscLogEventBegin(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
908 |
|
|
|
909 |
if (sM == 0) {
|
|
|
910 |
/* W <- M */
|
|
|
911 |
ierr = SlepcDenseCopy(W, rM, M, ldM, rM, cM); CHKERRQ(ierr);
|
|
|
912 |
|
|
|
913 |
/* Wr <- ReduceAll(W, SUM) */
|
| 1899 |
eromero |
914 |
ierr = MPI_Allreduce(W, Wr, rM*cM, MPIU_SCALAR, MPIU_SUM,
|
| 1795 |
eromero |
915 |
((PetscObject)V)->comm); CHKERRQ(ierr);
|
|
|
916 |
|
|
|
917 |
/* M <- Wr */
|
|
|
918 |
ierr = SlepcDenseCopy(M, ldM, Wr, rM, rM, cM); CHKERRQ(ierr);
|
|
|
919 |
|
|
|
920 |
/* Other structures */
|
|
|
921 |
} else {
|
|
|
922 |
SETERRQ(1, "Matrix structure doesn't support by VecsMultI!");
|
|
|
923 |
PetscFunctionReturn(1);
|
|
|
924 |
}
|
|
|
925 |
|
|
|
926 |
ierr = PetscLogEventEnd(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
927 |
|
|
|
928 |
if (!auxS) {
|
|
|
929 |
ierr = PetscFree(W); CHKERRQ(ierr);
|
|
|
930 |
}
|
|
|
931 |
|
|
|
932 |
PetscFunctionReturn(0);
|
|
|
933 |
}
|
|
|
934 |
|
|
|
935 |
|
|
|
936 |
/* Computes M <- [ M(0:sU-1, 0:sV-1) W(0:sU-1, sV:eV-1) ]
|
|
|
937 |
[ W(sU:eU-1, 0:sV-1) W(sU:eU-1, sV:eV-1) ]
|
|
|
938 |
where W = U' * V.
|
| 1753 |
eromero |
939 |
r, a DvdReduction structure,
|
|
|
940 |
sr, an structure DvdMult_copy_func.
|
|
|
941 |
*/
|
| 1634 |
slepc |
942 |
|
| 1753 |
eromero |
943 |
#undef __FUNCT__
|
|
|
944 |
#define __FUNCT__ "VecsMultS"
|
|
|
945 |
PetscErrorCode VecsMultS(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
|
|
946 |
Vec *U, PetscInt sU, PetscInt eU,
|
|
|
947 |
Vec *V, PetscInt sV, PetscInt eV, DvdReduction *r,
|
|
|
948 |
DvdMult_copy_func *sr)
|
|
|
949 |
{
|
|
|
950 |
PetscErrorCode ierr;
|
|
|
951 |
PetscInt ldU, ldV;
|
|
|
952 |
PetscScalar *pu, *pv, *W;
|
|
|
953 |
|
|
|
954 |
PetscFunctionBegin;
|
|
|
955 |
|
|
|
956 |
/* Check if quick exit */
|
|
|
957 |
if ((eU-sU == 0) || (eV-sV == 0))
|
|
|
958 |
PetscFunctionReturn(0);
|
|
|
959 |
|
|
|
960 |
/* Get the dense matrices and dimensions associated to U and V */
|
|
|
961 |
ierr = VecGetLocalSize(U[0], &ldU); CHKERRQ(ierr);
|
|
|
962 |
ierr = VecGetLocalSize(V[0], &ldV); CHKERRQ(ierr);
|
|
|
963 |
if (ldU != ldV) {
|
|
|
964 |
SETERRQ(1, "Matrix dimensions doesn't match!");
|
|
|
965 |
}
|
|
|
966 |
ierr = VecGetArray(U[0], &pu);CHKERRQ(ierr);
|
|
|
967 |
ierr = VecGetArray(V[0], &pv);CHKERRQ(ierr);
|
|
|
968 |
|
|
|
969 |
ierr = PetscLogEventBegin(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
970 |
|
|
|
971 |
if ((sU == 0) && (sV == 0) && (eU == ldM)) {
|
|
|
972 |
/* Use the smart memory usage version */
|
|
|
973 |
|
|
|
974 |
/* Add the reduction to r */
|
|
|
975 |
ierr = SlepcAllReduceSum(r, eU*eV, VecsMultS_copy_func, sr, &W);
|
|
|
976 |
CHKERRQ(ierr);
|
|
|
977 |
|
|
|
978 |
/* W <- U' * V */
|
|
|
979 |
ierr = SlepcDenseMatProdTriang(W, sM, eU,
|
|
|
980 |
pu, 0, ldU, ldU, eU, PETSC_TRUE,
|
|
|
981 |
pv, 0, ldV, ldV, eV, PETSC_FALSE);
|
|
|
982 |
CHKERRQ(ierr);
|
|
|
983 |
|
|
|
984 |
/* M <- ReduceAll(W, SUM) */
|
|
|
985 |
sr->M = M; sr->ld = ldM;
|
|
|
986 |
sr->i0 = 0; sr->i1 = eV; sr->s0 = sU; sr->e0 = eU;
|
|
|
987 |
sr->i2 = eV;
|
|
|
988 |
|
|
|
989 |
/* Full M matrix */
|
| 1756 |
eromero |
990 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
991 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
| 1753 |
eromero |
992 |
/* Add the reduction to r */
|
|
|
993 |
ierr = SlepcAllReduceSum(r, (eU-sU)*sV+(eV-sV)*eU, VecsMultS_copy_func,
|
|
|
994 |
sr, &W);
|
|
|
995 |
CHKERRQ(ierr);
|
|
|
996 |
|
|
|
997 |
/* W(0:(eU-sU)*sV-1) <- U(sU:eU-1)' * V(0:sV-1) */
|
|
|
998 |
ierr = SlepcDenseMatProd(W, eU-sU, 0.0, 1.0,
|
|
|
999 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
1000 |
pv , ldV, ldV, sV, PETSC_FALSE);
|
|
|
1001 |
CHKERRQ(ierr);
|
|
|
1002 |
|
|
|
1003 |
/* W((eU-sU)*sV:(eU-sU)*sV+(eV-sV)*eU-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
1004 |
ierr = SlepcDenseMatProd(W+(eU-sU)*sV, eU, 0.0, 1.0,
|
|
|
1005 |
pu, ldU, ldU, eU, PETSC_TRUE,
|
|
|
1006 |
pv+ldV*sV, ldV, ldV, eV-sV, PETSC_FALSE);
|
|
|
1007 |
CHKERRQ(ierr);
|
|
|
1008 |
|
|
|
1009 |
/* M <- ReduceAll(W, SUM) */
|
|
|
1010 |
sr->M = M; sr->ld = ldM;
|
|
|
1011 |
sr->i0 = 0; sr->i1 = sV; sr->s0 = sU; sr->e0 = eU;
|
|
|
1012 |
sr->i2 = eV; sr->s1 = 0; sr->e1 = eU;
|
|
|
1013 |
|
|
|
1014 |
/* Upper triangular M matrix */
|
| 1756 |
eromero |
1015 |
} else if (DVD_IS(sM,DVD_MAT_UTRIANG) &&
|
|
|
1016 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
| 1753 |
eromero |
1017 |
/* Add the reduction to r */
|
|
|
1018 |
ierr = SlepcAllReduceSum(r, (eV-sV)*eU, VecsMultS_copy_func, sr, &W);
|
|
|
1019 |
CHKERRQ(ierr);
|
|
|
1020 |
|
|
|
1021 |
/* W(0:(eV-sV)*eU-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
1022 |
ierr = SlepcDenseMatProd(W, eU, 0.0, 1.0,
|
|
|
1023 |
pu, ldU, ldU, eU, PETSC_TRUE,
|
|
|
1024 |
pv+ldV*sV, ldV, ldV, eV-sV, PETSC_FALSE);
|
|
|
1025 |
CHKERRQ(ierr);
|
|
|
1026 |
|
|
|
1027 |
/* M <- ReduceAll(W, SUM) */
|
|
|
1028 |
sr->M = M; sr->ld = ldM;
|
|
|
1029 |
sr->i0 = sV; sr->i1 = eV; sr->s0 = 0; sr->e0 = eU;
|
|
|
1030 |
sr->i2 = eV;
|
|
|
1031 |
|
|
|
1032 |
/* Lower triangular M matrix */
|
| 1756 |
eromero |
1033 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
1034 |
DVD_IS(sM,DVD_MAT_LTRIANG)) {
|
| 1753 |
eromero |
1035 |
/* Add the reduction to r */
|
|
|
1036 |
ierr = SlepcAllReduceSum(r, (eU-sU)*eV, VecsMultS_copy_func, sr, &W);
|
|
|
1037 |
CHKERRQ(ierr);
|
|
|
1038 |
|
|
|
1039 |
/* W(0:(eU-sU)*eV-1) <- U(sU:eU-1)' * V(0:eV-1) */
|
|
|
1040 |
ierr = SlepcDenseMatProd(W, eU-sU, 0.0, 1.0,
|
|
|
1041 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
1042 |
pv , ldV, ldV, eV, PETSC_FALSE);
|
|
|
1043 |
CHKERRQ(ierr);
|
|
|
1044 |
|
|
|
1045 |
/* ReduceAll(W, SUM) */
|
|
|
1046 |
sr->M = M; sr->ld = ldM;
|
|
|
1047 |
sr->i0 = 0; sr->i1 = eV; sr->s0 = sU; sr->e0 = eU;
|
|
|
1048 |
sr->i2 = eV;
|
|
|
1049 |
}
|
|
|
1050 |
|
|
|
1051 |
ierr = PetscLogEventEnd(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
1052 |
|
|
|
1053 |
ierr = VecRestoreArray(U[0], &pu); CHKERRQ(ierr);
|
| 1992 |
eromero |
1054 |
ierr = PetscObjectStateDecrease((PetscObject)U[0]); CHKERRQ(ierr);
|
| 1753 |
eromero |
1055 |
ierr = VecRestoreArray(V[0], &pv); CHKERRQ(ierr);
|
| 1992 |
eromero |
1056 |
ierr = PetscObjectStateDecrease((PetscObject)V[0]); CHKERRQ(ierr);
|
| 1753 |
eromero |
1057 |
|
|
|
1058 |
PetscFunctionReturn(0);
|
|
|
1059 |
}
|
|
|
1060 |
|
|
|
1061 |
#undef __FUNCT__
|
|
|
1062 |
#define __FUNCT__ "VecsMultS_copy_func"
|
|
|
1063 |
PetscErrorCode VecsMultS_copy_func(PetscScalar *out, PetscInt size_out,
|
|
|
1064 |
void *ptr)
|
|
|
1065 |
{
|
|
|
1066 |
PetscInt i, j, k;
|
|
|
1067 |
DvdMult_copy_func
|
|
|
1068 |
*sr = (DvdMult_copy_func*)ptr;
|
|
|
1069 |
|
|
|
1070 |
PetscFunctionBegin;
|
|
|
1071 |
|
|
|
1072 |
for (i=sr->i0,k=0; i<sr->i1; i++)
|
|
|
1073 |
for (j=sr->ld*i+sr->s0; j<sr->ld*i+sr->e0; j++,k++) sr->M[j] = out[k];
|
|
|
1074 |
for (i=sr->i1; i<sr->i2; i++)
|
|
|
1075 |
for (j=sr->ld*i+sr->s1; j<sr->ld*i+sr->e1; j++,k++) sr->M[j] = out[k];
|
|
|
1076 |
|
|
|
1077 |
if (k != size_out) {
|
|
|
1078 |
SETERRQ(1, "Error in VecsMultS_copy_func!");
|
|
|
1079 |
PetscFunctionReturn(1);
|
|
|
1080 |
}
|
|
|
1081 |
|
|
|
1082 |
PetscFunctionReturn(0);
|
|
|
1083 |
}
|
|
|
1084 |
|
| 1675 |
slepc |
1085 |
/* Orthonormalize a chunk of parallel vector.
|
|
|
1086 |
NOTE: wS0 and wS1 must be of size n*n.
|
|
|
1087 |
*/
|
|
|
1088 |
#undef __FUNCT__
|
|
|
1089 |
#define __FUNCT__ "VecsOrthonormalize"
|
|
|
1090 |
PetscErrorCode VecsOrthonormalize(Vec *V, PetscInt n, PetscScalar *wS0,
|
|
|
1091 |
PetscScalar *wS1)
|
|
|
1092 |
{
|
|
|
1093 |
PetscErrorCode ierr;
|
|
|
1094 |
PetscBLASInt nn = n, info, ld;
|
| 1992 |
eromero |
1095 |
PetscInt ldV, i;
|
| 1675 |
slepc |
1096 |
PetscScalar *H, *T, one=1.0, *pv;
|
|
|
1097 |
|
|
|
1098 |
PetscFunctionBegin;
|
|
|
1099 |
|
|
|
1100 |
if (!wS0) {
|
|
|
1101 |
ierr = PetscMalloc(sizeof(PetscScalar)*n*n, &H); CHKERRQ(ierr);
|
|
|
1102 |
} else
|
|
|
1103 |
H = wS0;
|
|
|
1104 |
if (!wS1) {
|
|
|
1105 |
ierr = PetscMalloc(sizeof(PetscScalar)*n*n, &T); CHKERRQ(ierr);
|
|
|
1106 |
} else
|
|
|
1107 |
T = wS1;
|
|
|
1108 |
|
|
|
1109 |
/* H <- V' * V */
|
| 1747 |
eromero |
1110 |
ierr = VecsMult(H, 0, n, V, 0, n, V, 0, n, T, PETSC_NULL); CHKERRQ(ierr);
|
| 1675 |
slepc |
1111 |
|
|
|
1112 |
/* H <- chol(H) */
|
|
|
1113 |
LAPACKpbtrf_("U", &nn, &nn, H, &nn, &info);
|
|
|
1114 |
if (info) SETERRQ1(PETSC_ERR_LIB, "Error in Lapack PBTRF %d", info);
|
|
|
1115 |
|
|
|
1116 |
/* V <- V * inv(H) */
|
|
|
1117 |
ierr = VecGetLocalSize(V[0], &ldV); CHKERRQ(ierr);
|
|
|
1118 |
ierr = VecGetArray(V[0], &pv);CHKERRQ(ierr);
|
|
|
1119 |
ld = ldV;
|
|
|
1120 |
BLAStrsm_("R", "U", "N", "N", &ld, &nn, &one, H, &nn, pv, &ld);
|
|
|
1121 |
ierr = VecRestoreArray(V[0], &pv);CHKERRQ(ierr);
|
| 1992 |
eromero |
1122 |
for(i=1; i<n; i++) {
|
|
|
1123 |
ierr = PetscObjectStateIncrease((PetscObject)V[i]); CHKERRQ(ierr);
|
|
|
1124 |
}
|
| 1675 |
slepc |
1125 |
|
|
|
1126 |
if (!wS0) {
|
|
|
1127 |
ierr = PetscFree(H); CHKERRQ(ierr);
|
|
|
1128 |
}
|
|
|
1129 |
if (!wS1) {
|
|
|
1130 |
ierr = PetscFree(T); CHKERRQ(ierr);
|
|
|
1131 |
}
|
|
|
1132 |
|
|
|
1133 |
PetscFunctionReturn(0);
|
|
|
1134 |
}
|
|
|
1135 |
|
| 1753 |
eromero |
1136 |
/*
|
|
|
1137 |
Sum up several arrays with only one call to MPIReduce.
|
|
|
1138 |
*/
|
|
|
1139 |
|
|
|
1140 |
#undef __FUNCT__
|
|
|
1141 |
#define __FUNCT__ "SlepcAllReduceSumBegin"
|
|
|
1142 |
PetscErrorCode SlepcAllReduceSumBegin(DvdReductionChunk *ops,
|
|
|
1143 |
PetscInt max_size_ops,
|
|
|
1144 |
PetscScalar *in, PetscScalar *out,
|
|
|
1145 |
PetscInt max_size_in, DvdReduction *r,
|
|
|
1146 |
MPI_Comm comm)
|
|
|
1147 |
{
|
|
|
1148 |
PetscFunctionBegin;
|
|
|
1149 |
|
|
|
1150 |
r->in = in;
|
|
|
1151 |
r->out = out;
|
|
|
1152 |
r->size_in = 0;
|
|
|
1153 |
r->max_size_in = max_size_in;
|
|
|
1154 |
r->ops = ops;
|
|
|
1155 |
r->size_ops = 0;
|
|
|
1156 |
r->max_size_ops = max_size_ops;
|
|
|
1157 |
r->comm = comm;
|
|
|
1158 |
|
|
|
1159 |
PetscFunctionReturn(0);
|
|
|
1160 |
}
|
|
|
1161 |
|
|
|
1162 |
#undef __FUNCT__
|
|
|
1163 |
#define __FUNCT__ "SlepcAllReduceSum"
|
|
|
1164 |
PetscErrorCode SlepcAllReduceSum(DvdReduction *r, PetscInt size_in,
|
|
|
1165 |
DvdReductionPostF f, void *ptr,
|
|
|
1166 |
PetscScalar **in)
|
|
|
1167 |
{
|
|
|
1168 |
PetscFunctionBegin;
|
|
|
1169 |
|
|
|
1170 |
*in = r->in + r->size_in;
|
|
|
1171 |
r->ops[r->size_ops].out = r->out + r->size_in;
|
|
|
1172 |
r->ops[r->size_ops].size_out = size_in;
|
|
|
1173 |
r->ops[r->size_ops].f = f;
|
|
|
1174 |
r->ops[r->size_ops].ptr = ptr;
|
|
|
1175 |
if (++(r->size_ops) > r->max_size_ops) {
|
|
|
1176 |
SETERRQ(1, "max_size_ops is not enought!");
|
|
|
1177 |
}
|
|
|
1178 |
if ((r->size_in+= size_in) > r->max_size_in) {
|
|
|
1179 |
SETERRQ(1, "max_size_in is not enought!");
|
|
|
1180 |
}
|
|
|
1181 |
|
|
|
1182 |
PetscFunctionReturn(0);
|
|
|
1183 |
}
|
|
|
1184 |
|
|
|
1185 |
|
|
|
1186 |
#undef __FUNCT__
|
|
|
1187 |
#define __FUNCT__ "SlepcAllReduceSumEnd"
|
|
|
1188 |
PetscErrorCode SlepcAllReduceSumEnd(DvdReduction *r)
|
|
|
1189 |
{
|
|
|
1190 |
PetscErrorCode ierr;
|
|
|
1191 |
PetscInt i;
|
|
|
1192 |
|
|
|
1193 |
PetscFunctionBegin;
|
|
|
1194 |
|
| 1795 |
eromero |
1195 |
/* Check if quick exit */
|
|
|
1196 |
if (r->size_ops == 0)
|
|
|
1197 |
PetscFunctionReturn(0);
|
|
|
1198 |
|
| 1753 |
eromero |
1199 |
/* Call the MPIAllReduce routine */
|
| 1899 |
eromero |
1200 |
ierr = MPI_Allreduce(r->in, r->out, r->size_in, MPIU_SCALAR, MPIU_SUM,
|
| 1753 |
eromero |
1201 |
r->comm); CHKERRQ(ierr);
|
|
|
1202 |
|
|
|
1203 |
/* Call the postponed routines */
|
|
|
1204 |
for(i=0; i<r->size_ops; i++) {
|
|
|
1205 |
ierr = r->ops[i].f(r->ops[i].out, r->ops[i].size_out, r->ops[i].ptr);
|
|
|
1206 |
CHKERRQ(ierr);
|
|
|
1207 |
}
|
|
|
1208 |
|
|
|
1209 |
/* Tag the operation as done */
|
|
|
1210 |
r->size_ops = 0;
|
|
|
1211 |
|
|
|
1212 |
PetscFunctionReturn(0);
|
|
|
1213 |
}
|
| 1795 |
eromero |
1214 |
|
| 1831 |
eromero |
1215 |
|
| 1795 |
eromero |
1216 |
#undef __FUNCT__
|
|
|
1217 |
#define __FUNCT__ "dvd_orthV"
|
| 1989 |
eromero |
1218 |
PetscErrorCode dvd_orthV(IP ip, Vec *DS, PetscInt size_DS, Vec *cX,
|
|
|
1219 |
PetscInt size_cX, Vec *V, PetscInt V_new_s,
|
|
|
1220 |
PetscInt V_new_e, PetscScalar *auxS, Vec auxV,
|
|
|
1221 |
PetscRandom rand)
|
| 1795 |
eromero |
1222 |
{
|
|
|
1223 |
PetscErrorCode ierr;
|
|
|
1224 |
PetscInt i, j;
|
|
|
1225 |
PetscTruth lindep;
|
|
|
1226 |
PetscReal norm;
|
| 1869 |
eromero |
1227 |
PetscScalar *auxS0 = auxS;
|
| 1831 |
eromero |
1228 |
|
| 1795 |
eromero |
1229 |
PetscFunctionBegin;
|
| 1831 |
eromero |
1230 |
|
| 1795 |
eromero |
1231 |
/* Orthonormalize V with IP */
|
|
|
1232 |
for (i=V_new_s; i<V_new_e; i++) {
|
|
|
1233 |
for(j=0; j<3; j++) {
|
| 1975 |
eromero |
1234 |
if (j>0) { ierr = SlepcVecSetRandom(V[i], rand); CHKERRQ(ierr); }
|
| 1831 |
eromero |
1235 |
if (cX + size_cX == V) {
|
|
|
1236 |
/* If cX and V are contiguous, orthogonalize in one step */
|
| 1989 |
eromero |
1237 |
ierr = IPOrthogonalize(ip, size_DS, DS, size_cX+i, PETSC_NULL, cX,
|
| 1831 |
eromero |
1238 |
V[i], auxS0, &norm, &lindep); CHKERRQ(ierr);
|
| 1989 |
eromero |
1239 |
} else if (DS) {
|
|
|
1240 |
/* Else orthogonalize first against DS, and then against cX and V */
|
|
|
1241 |
ierr = IPOrthogonalize(ip, size_DS, DS, size_cX, PETSC_NULL, cX,
|
| 1831 |
eromero |
1242 |
V[i], auxS0, PETSC_NULL, &lindep); CHKERRQ(ierr);
|
|
|
1243 |
if(lindep == PETSC_FALSE) {
|
|
|
1244 |
ierr = IPOrthogonalize(ip, 0, PETSC_NULL, i, PETSC_NULL, V,
|
|
|
1245 |
V[i], auxS0, &norm, &lindep); CHKERRQ(ierr);
|
|
|
1246 |
}
|
| 1989 |
eromero |
1247 |
} else {
|
|
|
1248 |
/* Else orthogonalize first against cX and then against V */
|
|
|
1249 |
ierr = IPOrthogonalize(ip, size_cX, cX, i, PETSC_NULL, V,
|
|
|
1250 |
V[i], auxS0, &norm, &lindep); CHKERRQ(ierr);
|
| 1831 |
eromero |
1251 |
}
|
| 1795 |
eromero |
1252 |
if((lindep == PETSC_FALSE) && (norm > PETSC_MACHINE_EPSILON)) break;
|
| 2007 |
eromero |
1253 |
ierr = PetscInfo1(ip, "Orthonormalization problems adding the vector %d to the searching subspace\n", i);
|
| 2013 |
eromero |
1254 |
CHKERRQ(ierr);
|
| 1795 |
eromero |
1255 |
}
|
|
|
1256 |
if((lindep == PETSC_TRUE) || (norm < PETSC_MACHINE_EPSILON)) {
|
|
|
1257 |
SETERRQ(1, "Error during the orthonormalization of the eigenvectors!");
|
|
|
1258 |
}
|
|
|
1259 |
ierr = VecScale(V[i], 1.0/norm); CHKERRQ(ierr);
|
|
|
1260 |
}
|
| 1831 |
eromero |
1261 |
|
| 1795 |
eromero |
1262 |
PetscFunctionReturn(0);
|
|
|
1263 |
}
|
| 1831 |
eromero |
1264 |
|
| 1968 |
eromero |
1265 |
#undef __FUNCT__
|
|
|
1266 |
#define __FUNCT__ "dvd_compute_eigenvectors"
|
|
|
1267 |
/*
|
|
|
1268 |
Compute eigenvectors associated to the Schur decomposition (S, T) and
|
|
|
1269 |
save the left vectors in pY and the right vectors in pX, where
|
|
|
1270 |
n, size of the eigenproblem
|
|
|
1271 |
ldS, ldT, leading dimension of S and T
|
|
|
1272 |
ldpX, ldpY, leading dimension of pX and pY
|
|
|
1273 |
auxS, auxiliar scalar of length:
|
|
|
1274 |
double standard 3n+n*n, double generalized 11n+4n*n,
|
| 2022 |
eromero |
1275 |
complex standard 3n+n*n, complex generalized 3n+2n*n
|
| 1968 |
eromero |
1276 |
size_auxS, the length of auxS
|
|
|
1277 |
doProd, if true pX and pY return the eigenvectors premultiplied by the input vectors stored in pX and pY respectively
|
|
|
1278 |
*/
|
|
|
1279 |
PetscErrorCode dvd_compute_eigenvectors(PetscInt n_, PetscScalar *S,
|
|
|
1280 |
PetscInt ldS, PetscScalar *T, PetscInt ldT, PetscScalar *pX,
|
|
|
1281 |
PetscInt ldpX_, PetscScalar *pY, PetscInt ldpY_, PetscScalar *auxS,
|
|
|
1282 |
PetscInt size_auxS, PetscTruth doProd)
|
|
|
1283 |
{
|
|
|
1284 |
PetscErrorCode ierr;
|
|
|
1285 |
PetscBLASInt n = PetscBLASIntCast(n_), ldpX = PetscBLASIntCast(ldpX_),
|
|
|
1286 |
ldpY = PetscBLASIntCast(ldpY_), nout = n, info;
|
|
|
1287 |
PetscScalar *Sc, *Tc;
|
|
|
1288 |
const char *side, *howmny;
|
|
|
1289 |
#if defined(PETSC_USE_COMPLEX)
|
|
|
1290 |
PetscReal *auxR;
|
|
|
1291 |
#else
|
|
|
1292 |
PetscScalar *pA,*pB;
|
|
|
1293 |
PetscBLASInt n1, ldpA,ldpB;
|
|
|
1294 |
PetscScalar *alphar, *alphai, *beta;
|
|
|
1295 |
#endif
|
|
|
1296 |
|
|
|
1297 |
PetscFunctionBegin;
|
| 1795 |
eromero |
1298 |
|
| 1968 |
eromero |
1299 |
if (pX && pY) side = "B";
|
|
|
1300 |
else if (pX) side = "R";
|
|
|
1301 |
else if (pY) side = "L";
|
|
|
1302 |
else { PetscFunctionReturn(0); }
|
|
|
1303 |
|
|
|
1304 |
if (!pX) ldpX = 1;
|
|
|
1305 |
if (!pY) ldpY = 1;
|
|
|
1306 |
|
|
|
1307 |
howmny = (doProd == PETSC_TRUE)?"B":"A";
|
|
|
1308 |
|
|
|
1309 |
Sc = auxS; auxS+= n*n; size_auxS-= n*n;
|
|
|
1310 |
if (T) Tc = auxS, auxS+= n*n, size_auxS-= n*n;
|
|
|
1311 |
else Tc = PETSC_NULL;
|
|
|
1312 |
|
|
|
1313 |
/* Sc <- S, Tc <- T */
|
|
|
1314 |
ierr = SlepcDenseCopy(Sc, n, S, ldS, n, n); CHKERRQ(ierr);
|
|
|
1315 |
if (T) {
|
|
|
1316 |
ierr = SlepcDenseCopy(Tc, n, T, ldT, n, n); CHKERRQ(ierr);
|
|
|
1317 |
}
|
|
|
1318 |
|
|
|
1319 |
if (T) {
|
|
|
1320 |
/* [eigr, pX] = eig(S, T) */
|
|
|
1321 |
#if defined(PETSC_USE_COMPLEX)
|
|
|
1322 |
auxR = (PetscReal*)auxS; auxS = (PetscScalar*)(auxR+2*n); size_auxS-= 2*n;
|
|
|
1323 |
if (size_auxS < 2*n)
|
|
|
1324 |
SETERRQ(PETSC_ERR_LIB,"Insufficient auxiliar memory for xTGEVC");
|
|
|
1325 |
LAPACKtgevc_(side,howmny,PETSC_NULL,&n,Sc,&n,Tc,&n,pY,&ldpY,pX,&ldpX,&n,&nout,auxS,auxR,&info);
|
|
|
1326 |
if (info) SETERRQ1(PETSC_ERR_LIB,"Error in Lapack xTGEVC %i",info);
|
|
|
1327 |
#else
|
|
|
1328 |
alphar = auxS; auxS+= n; size_auxS-= n;
|
|
|
1329 |
alphai = auxS; auxS+= n; size_auxS-= n;
|
|
|
1330 |
beta = auxS; auxS+= n; size_auxS-= n;
|
|
|
1331 |
if (doProd == PETSC_TRUE) {
|
|
|
1332 |
if (pX) pA = auxS, auxS+= n*n, size_auxS-= n*n, ldpA = n;
|
|
|
1333 |
else pA = PETSC_NULL, ldpA = 0;
|
|
|
1334 |
if (pY) pB = auxS, auxS+= n*n, size_auxS-= n*n, ldpB = n;
|
|
|
1335 |
else pB = PETSC_NULL, ldpB = 0;
|
|
|
1336 |
} else {
|
|
|
1337 |
pA = pX; pB = pY; ldpA = ldpX; ldpB = ldpY;
|
|
|
1338 |
}
|
|
|
1339 |
/* LAPACKtgevc_ needs the element i,i+1 in the 2-by-2 digonal blocs
|
|
|
1340 |
of T that represent complex conjugate eigenpairs to be zero */
|
|
|
1341 |
n1 = size_auxS;
|
|
|
1342 |
if (size_auxS < 8*n)
|
|
|
1343 |
SETERRQ(PETSC_ERR_LIB,"Insufficient auxiliar memory for xGGEV");
|
|
|
1344 |
LAPACKggev_(pY?"V":"N",pX?"V":"N",&n,Sc,&n,Tc,&n,alphar,alphai,beta,pB,&ldpB,pA,&ldpA,auxS,&n1,&info);
|
| 2034 |
eromero |
1345 |
if (info) SETERRQ1(PETSC_ERR_LIB,"Error in Lapack xGGEV %i",info);
|
| 1968 |
eromero |
1346 |
if (doProd == PETSC_TRUE) {
|
|
|
1347 |
if (pX) {
|
|
|
1348 |
/* pX <- pX * pA */
|
|
|
1349 |
ierr = SlepcDenseCopy(Sc, n, pX, ldpX, n, n); CHKERRQ(ierr);
|
| 2022 |
eromero |
1350 |
ierr = SlepcDenseMatProd(pX, ldpX, 0.0, 1.0,
|
| 1968 |
eromero |
1351 |
Sc, n, n, n, PETSC_FALSE,
|
|
|
1352 |
pA, n, n, n, PETSC_FALSE); CHKERRQ(ierr);
|
|
|
1353 |
}
|
|
|
1354 |
if (pY) {
|
|
|
1355 |
/* pY <- pY * pB */
|
|
|
1356 |
ierr = SlepcDenseCopy(Sc, n, pY, ldpY, n, n); CHKERRQ(ierr);
|
| 2022 |
eromero |
1357 |
ierr = SlepcDenseMatProd(pY, ldpY, 0.0, 1.0,
|
| 1968 |
eromero |
1358 |
Sc, n, n, n, PETSC_FALSE,
|
|
|
1359 |
pB, n, n, n, PETSC_FALSE); CHKERRQ(ierr);
|
|
|
1360 |
}
|
|
|
1361 |
}
|
|
|
1362 |
#endif
|
|
|
1363 |
} else {
|
|
|
1364 |
/* [eigr, pX] = eig(S) */
|
|
|
1365 |
#if defined(PETSC_USE_COMPLEX)
|
|
|
1366 |
auxR = (PetscReal*)auxS; auxS = (PetscScalar*)(auxR+n); size_auxS-= n;
|
|
|
1367 |
if (size_auxS < 2*n)
|
|
|
1368 |
SETERRQ(PETSC_ERR_LIB,"Insufficient auxiliar memory for xTREVC");
|
|
|
1369 |
LAPACKtrevc_(side,howmny,PETSC_NULL,&n,Sc,&n,pY,&ldpY,pX,&ldpX,&n,&nout,auxS,auxR,&info);
|
|
|
1370 |
#else
|
|
|
1371 |
LAPACKtrevc_(side,howmny,PETSC_NULL,&n,Sc,&n,pY,&ldpY,pX,&ldpX,&n,&nout,auxS,&info);
|
|
|
1372 |
#endif
|
|
|
1373 |
if (info) SETERRQ1(PETSC_ERR_LIB,"Error in Lapack xTREVC %i",info);
|
|
|
1374 |
}
|
|
|
1375 |
|
|
|
1376 |
PetscFunctionReturn(0);
|
|
|
1377 |
}
|
| 2034 |
eromero |
1378 |
|
|
|
1379 |
#undef __FUNCT__
|
|
|
1380 |
#define __FUNCT__ "dvd_compute_eigenvalues"
|
|
|
1381 |
/*
|
|
|
1382 |
Compute the eigenvalues eigr+eigi*i associated to the Schur decomposition
|
|
|
1383 |
(S, T), where
|
|
|
1384 |
n, size of the eigenproblem
|
|
|
1385 |
ldS, ldT, leading dimension of S and T
|
|
|
1386 |
*/
|
|
|
1387 |
PetscErrorCode dvd_compute_eigenvalues(PetscInt n, PetscScalar *S,
|
|
|
1388 |
PetscInt ldS, PetscScalar *T, PetscInt ldT, PetscScalar *eigr,
|
|
|
1389 |
PetscScalar *eigi)
|
|
|
1390 |
{
|
|
|
1391 |
PetscInt i;
|
|
|
1392 |
#if !defined(PETSC_USE_COMPLEX)
|
|
|
1393 |
PetscErrorCode ierr;
|
|
|
1394 |
PetscScalar Sc[4], Tc[4], beta[2], auxS[16];
|
|
|
1395 |
PetscBLASInt two=2, info, size_auxS=16;
|
|
|
1396 |
#endif
|
|
|
1397 |
|
|
|
1398 |
PetscFunctionBegin;
|
|
|
1399 |
|
|
|
1400 |
for (i=0; i<n; i++) {
|
|
|
1401 |
#if !defined(PETSC_USE_COMPLEX)
|
|
|
1402 |
if (i<n-1 && S[i*ldS+i+1] != 0.0) {
|
|
|
1403 |
ierr = SlepcDenseCopy(Sc, 2, &S[i*ldS+i], ldS, 2, 2); CHKERRQ(ierr);
|
|
|
1404 |
ierr = SlepcDenseCopy(Tc, 2, &T[i*ldT+i], ldT, 2, 2); CHKERRQ(ierr);
|
|
|
1405 |
LAPACKggev_("N","N",&two,Sc,&two,Tc,&two,&eigr[i],&eigi[i],beta,
|
|
|
1406 |
PETSC_NULL, &two,PETSC_NULL,&two,auxS,&size_auxS,&info);
|
|
|
1407 |
if (info) SETERRQ1(PETSC_ERR_LIB,"Error in Lapack xGGEV %i",info);
|
|
|
1408 |
eigr[i] /= beta[0]; eigi[i] /= beta[0];
|
|
|
1409 |
eigr[i+1]/= beta[1]; eigi[i+1]/= beta[1];
|
|
|
1410 |
i++;
|
|
|
1411 |
} else
|
|
|
1412 |
#endif
|
|
|
1413 |
{
|
|
|
1414 |
if (T[i*ldT+i] == 0.0) {
|
|
|
1415 |
if (PetscRealPart(S[i*ldS+i]) < 0.0) eigr[i] = PETSC_MIN;
|
|
|
1416 |
else eigr[i] = PETSC_MAX;
|
|
|
1417 |
} else eigr[i] = S[i*ldS+i] / T[i*ldT+i];
|
|
|
1418 |
if (eigi) eigi[i] = 0.0;
|
|
|
1419 |
}
|
|
|
1420 |
}
|
|
|
1421 |
|
|
|
1422 |
PetscFunctionReturn(0);
|
|
|
1423 |
}
|