| 2110 |
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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slepc |
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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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eromero |
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#include <private/vecimplslepc.h>
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| 1985 |
eromero |
23 |
#include "davidson.h"
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| 1619 |
slepc |
24 |
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eromero |
25 |
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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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 |
31 |
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slepc |
32 |
void dvd_sum_local(void *in, void *out, PetscMPIInt *cnt,MPI_Datatype *t);
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eromero |
33 |
PetscErrorCode VecsMultS_copy_func(PetscScalar *out, PetscInt size_out,
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void *ptr);
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slepc |
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jroman |
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#undef __FUNCT__
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#define __FUNCT__ "SlepcDenseMatProd"
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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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PetscErrorCode SlepcDenseMatProd(PetscScalar *C, PetscInt _ldC, PetscScalar b,
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PetscScalar a,
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jroman |
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const PetscScalar *A, PetscInt _ldA, PetscInt rA, PetscInt cA, PetscBool At,
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const PetscScalar *B, PetscInt _ldB, PetscInt rB, PetscInt cB, PetscBool Bt)
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slepc |
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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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jroman |
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if (At) tmp = rA, rA = cA, cA = tmp, qA = T;
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if (Bt) tmp = rB, rB = cB, cB = tmp, qB = T;
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slepc |
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/* Check size */
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if (cA != rB) {
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jroman |
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SETERRQ(PETSC_COMM_SELF,1, "Matrix dimensions do not match");
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slepc |
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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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jroman |
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#undef __FUNCT__
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#define __FUNCT__ "SlepcDenseMatProdTriang"
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slepc |
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/*
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eromero |
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Compute C <- A*B, where
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eromero |
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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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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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jroman |
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PetscBool At,
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eromero |
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const PetscScalar *B, MatType_t sB, PetscInt ldB, PetscInt rB, PetscInt cB,
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jroman |
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PetscBool Bt)
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eromero |
110 |
{
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PetscErrorCode ierr;
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eromero |
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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 |
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eromero |
116 |
PetscFunctionBegin;
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if ((rA == 0) || (cB == 0)) { PetscFunctionReturn(0); }
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/* Transpose if needed */
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jroman |
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if (At) tmp = rA, rA = cA, cA = tmp;
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if (Bt) tmp = rB, rB = cB, cB = tmp;
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eromero |
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/* Check size */
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jroman |
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if (cA != rB) SETERRQ(PETSC_COMM_SELF,1, "Matrix dimensions do not match");
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if (sB != 0) SETERRQ(PETSC_COMM_SELF,1, "Matrix type not supported for B");
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eromero |
127 |
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eromero |
128 |
/* Optimized version: trivial case */
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if ((rA == 1) && (cA == 1) && (cB == 1)) {
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jroman |
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if (!At && !Bt) *C = *A * *B;
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else if (At && !Bt) *C = PetscConj(*A) * *B;
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else if (!At && Bt) *C = *A * PetscConj(*B);
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else if (At && Bt) *C = PetscConj(*A) * PetscConj(*B);
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eromero |
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PetscFunctionReturn(0);
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}
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/* Optimized versions: sA == 0 && sB == 0 */
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if ((sA == 0) && (sB == 0)) {
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jroman |
139 |
if (At) tmp = rA, rA = cA, cA = tmp;
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if (Bt) tmp = rB, rB = cB, cB = tmp;
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eromero |
141 |
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 |
147 |
if (DVD_IS(sA,DVD_MAT_HERMITIAN) &&
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DVD_ISNOT(sB,DVD_MAT_UTRIANG) &&
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eromero |
149 |
DVD_ISNOT(sB,DVD_MAT_LTRIANG) ) {
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eromero |
150 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseMatProd,0,0,0,0);CHKERRQ(ierr);
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rC = rA; cC = cB;
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eromero |
152 |
BLAShemm_("L", DVD_ISNOT(sA,DVD_MAT_LTRIANG)?"U":"L", &rC, &cC, &one,
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eromero |
153 |
(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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eromero |
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/* 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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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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PetscFunctionReturn(0);
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eromero |
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}
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| 1988 |
eromero |
171 |
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jroman |
172 |
SETERRQ(PETSC_COMM_SELF,1, "Matrix type not supported for A");
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eromero |
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}
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174 |
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jroman |
175 |
#undef __FUNCT__
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176 |
#define __FUNCT__ "SlepcDenseNorm"
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eromero |
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/*
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eromero |
178 |
Normalize the columns of the matrix A, where
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| 1750 |
eromero |
179 |
ldA, the leading dimension of A,
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eromero |
180 |
rA, cA, rows and columns of A.
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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 |
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*/
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PetscErrorCode SlepcDenseNorm(PetscScalar *A, PetscInt ldA, PetscInt _rA,
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eromero |
185 |
PetscInt cA, PetscScalar *eigi)
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eromero |
186 |
{
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187 |
PetscErrorCode ierr;
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eromero |
188 |
PetscInt i;
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PetscScalar norm, norm0;
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eromero |
190 |
PetscBLASInt rA = _rA, one=1;
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eromero |
191 |
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eromero |
192 |
PetscFunctionBegin;
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193 |
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194 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseNorm,0,0,0,0);CHKERRQ(ierr);
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195 |
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196 |
for(i=0; i<cA; i++) {
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eromero |
197 |
if(eigi && eigi[i] != 0.0) {
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198 |
norm = BLASnrm2_(&rA, &A[i*ldA], &one);
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199 |
norm0 = BLASnrm2_(&rA, &A[(i+1)*ldA], &one);
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norm = 1.0/PetscSqrtScalar(norm*norm + norm0*norm0);
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201 |
BLASscal_(&rA, &norm, &A[i*ldA], &one);
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202 |
BLASscal_(&rA, &norm, &A[(i+1)*ldA], &one);
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203 |
i++;
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204 |
} else {
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205 |
norm = BLASnrm2_(&rA, &A[i*ldA], &one);
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206 |
norm = 1.0 / norm;
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BLASscal_(&rA, &norm, &A[i*ldA], &one);
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208 |
}
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eromero |
209 |
}
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210 |
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211 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseNorm,0,0,0,0);CHKERRQ(ierr);
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212 |
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PetscFunctionReturn(0);
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}
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215 |
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216 |
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| 2223 |
jroman |
217 |
#undef __FUNCT__
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218 |
#define __FUNCT__ "SlepcDenseMatInvProd"
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| 1747 |
eromero |
219 |
/*
|
| 1735 |
eromero |
220 |
Compute B <- A\B, where
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221 |
ldA, the leading dimension of A,
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ldB, the leading dimension of B,
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223 |
dimA, rows and columns of A,
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224 |
rB, cB, rows and columns of B,
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225 |
auxI, auxiliary vector of size dimA,
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226 |
auxS, auxiliary vector of size cB
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227 |
*/
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228 |
PetscErrorCode SlepcDenseMatInvProd(
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229 |
PetscScalar *A, PetscInt _ldA, PetscInt _dimA,
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230 |
PetscScalar *B, PetscInt _ldB, PetscInt rB, PetscInt _cB,
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231 |
PetscInt *auxI)
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232 |
{
|
| 1745 |
eromero |
233 |
PetscErrorCode ierr;
|
| 1735 |
eromero |
234 |
PetscBLASInt *p = (PetscBLASInt*)auxI, dimA = _dimA, cB = _cB,
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235 |
ldA = _ldA, ldB = _ldB, info;
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236 |
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237 |
PetscFunctionBegin;
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238 |
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239 |
/* Check size */
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240 |
if (_dimA != rB) {
|
| 2214 |
jroman |
241 |
SETERRQ(PETSC_COMM_SELF,1, "Matrix dimensions do not match");
|
| 1735 |
eromero |
242 |
}
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243 |
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244 |
/* Quick exit */
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245 |
if ((_dimA == 0) || (cB == 0)) { PetscFunctionReturn(0); }
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246 |
|
| 1745 |
eromero |
247 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseMatInvProd,0,0,0,0);CHKERRQ(ierr);
|
| 1744 |
eromero |
248 |
if (dimA == 1) {
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249 |
*B = *B / *A;
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| 1745 |
eromero |
250 |
ierr = PetscLogFlops(1);CHKERRQ(ierr);
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| 1744 |
eromero |
251 |
} else {
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252 |
LAPACKgesv_(&dimA, &cB, A, &ldA, p, B, &ldB, &info);
|
| 2214 |
jroman |
253 |
if (info) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB, "Error in Lapack GESV %d", info);
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| 1744 |
eromero |
254 |
}
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| 1745 |
eromero |
255 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseMatInvProd,0,0,0,0);CHKERRQ(ierr);
|
| 1744 |
eromero |
256 |
|
| 1735 |
eromero |
257 |
PetscFunctionReturn(0);
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258 |
}
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259 |
|
| 2223 |
jroman |
260 |
#undef __FUNCT__
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261 |
#define __FUNCT__ "SlepcDenseOrth"
|
| 1735 |
eromero |
262 |
/*
|
| 1743 |
eromero |
263 |
Compute A <- orth(A), where
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|
|
264 |
ldA, the leading dimension of A,
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265 |
rA, cA, rows and columns of A,
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|
266 |
auxS, auxiliary vector of more size than cA+min(rA,cA),
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267 |
lauxS, size of auxS,
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268 |
ncA, new number of columns of A
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269 |
*/
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|
270 |
PetscErrorCode SlepcDenseOrth(PetscScalar *A, PetscInt _ldA, PetscInt _rA,
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271 |
PetscInt _cA, PetscScalar *auxS, PetscInt _lauxS,
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272 |
PetscInt *ncA)
|
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273 |
{
|
| 1745 |
eromero |
274 |
PetscErrorCode ierr;
|
| 1743 |
eromero |
275 |
PetscBLASInt ldA = _ldA, rA = _rA, cA = _cA,
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276 |
info, ltau = PetscMin(_cA, _rA), lw = _lauxS - ltau;
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277 |
PetscScalar *tau = auxS, *w = tau + ltau;
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278 |
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|
279 |
PetscFunctionBegin;
|
|
|
280 |
|
|
|
281 |
/* Quick exit */
|
|
|
282 |
if ((_rA == 0) || (cA == 0)) { PetscFunctionReturn(0); }
|
|
|
283 |
|
|
|
284 |
/* Memory check */
|
| 2214 |
jroman |
285 |
if (lw < cA) SETERRQ(PETSC_COMM_SELF,1, "Insufficient memory for xGEQRF");
|
| 1743 |
eromero |
286 |
|
| 1745 |
eromero |
287 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseOrth,0,0,0,0);CHKERRQ(ierr);
|
| 1743 |
eromero |
288 |
LAPACKgeqrf_(&rA, &cA, A, &ldA, tau, w, &lw, &info);
|
| 2214 |
jroman |
289 |
if (info) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB, "Error in Lapack xGEQRF %d", info);
|
| 1743 |
eromero |
290 |
LAPACKorgqr_(&rA, <au, <au, A, &ldA, tau, w, &lw, &info);
|
| 2214 |
jroman |
291 |
if (info) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB, "Error in Lapack xORGQR %d", info);
|
| 1745 |
eromero |
292 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseOrth,0,0,0,0);CHKERRQ(ierr);
|
| 1743 |
eromero |
293 |
|
|
|
294 |
if (ncA) *ncA = ltau;
|
|
|
295 |
|
|
|
296 |
PetscFunctionReturn(0);
|
|
|
297 |
}
|
|
|
298 |
|
| 2223 |
jroman |
299 |
#undef __FUNCT__
|
|
|
300 |
#define __FUNCT__ "SlepcDenseCopy"
|
| 1743 |
eromero |
301 |
/*
|
|
|
302 |
Y <- X, where
|
|
|
303 |
ldX, leading dimension of X,
|
|
|
304 |
rX, cX, rows and columns of X
|
|
|
305 |
ldY, leading dimension of Y
|
|
|
306 |
*/
|
|
|
307 |
PetscErrorCode SlepcDenseCopy(PetscScalar *Y, PetscInt ldY, PetscScalar *X,
|
|
|
308 |
PetscInt ldX, PetscInt rX, PetscInt cX)
|
|
|
309 |
{
|
|
|
310 |
PetscErrorCode ierr;
|
| 1795 |
eromero |
311 |
PetscInt i;
|
| 1743 |
eromero |
312 |
|
|
|
313 |
PetscFunctionBegin;
|
|
|
314 |
|
|
|
315 |
if ((ldX < rX) || (ldY < rX)) {
|
| 2219 |
jroman |
316 |
SETERRQ(PETSC_COMM_SELF,1, "Leading dimension error");
|
| 1743 |
eromero |
317 |
}
|
| 1805 |
eromero |
318 |
|
|
|
319 |
/* Quick exit */
|
|
|
320 |
if (Y == X) {
|
|
|
321 |
if (ldX != ldY) {
|
| 2219 |
jroman |
322 |
SETERRQ(PETSC_COMM_SELF,1, "Leading dimension error");
|
| 1805 |
eromero |
323 |
}
|
|
|
324 |
PetscFunctionReturn(0);
|
|
|
325 |
}
|
| 1743 |
eromero |
326 |
|
| 1745 |
eromero |
327 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseCopy,0,0,0,0);CHKERRQ(ierr);
|
| 1743 |
eromero |
328 |
for(i=0; i<cX; i++) {
|
|
|
329 |
ierr = PetscMemcpy(&Y[ldY*i], &X[ldX*i], sizeof(PetscScalar)*rX);
|
|
|
330 |
CHKERRQ(ierr);
|
|
|
331 |
}
|
| 1745 |
eromero |
332 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseCopy,0,0,0,0);CHKERRQ(ierr);
|
| 1743 |
eromero |
333 |
|
|
|
334 |
PetscFunctionReturn(0);
|
|
|
335 |
}
|
|
|
336 |
|
| 2223 |
jroman |
337 |
#undef __FUNCT__
|
|
|
338 |
#define __FUNCT__ "SlepcDenseCopyTriang"
|
| 1752 |
eromero |
339 |
/*
|
|
|
340 |
Y <- X, where
|
|
|
341 |
ldX, leading dimension of X,
|
|
|
342 |
rX, cX, rows and columns of X
|
|
|
343 |
ldY, leading dimension of Y
|
|
|
344 |
*/
|
|
|
345 |
PetscErrorCode SlepcDenseCopyTriang(PetscScalar *Y, MatType_t sY, PetscInt ldY,
|
|
|
346 |
PetscScalar *X, MatType_t sX, PetscInt ldX,
|
|
|
347 |
PetscInt rX, PetscInt cX)
|
|
|
348 |
{
|
|
|
349 |
PetscErrorCode ierr;
|
|
|
350 |
PetscInt i,j,c;
|
| 1743 |
eromero |
351 |
|
| 1752 |
eromero |
352 |
PetscFunctionBegin;
|
|
|
353 |
|
|
|
354 |
if ((ldX < rX) || (ldY < rX)) {
|
| 2219 |
jroman |
355 |
SETERRQ(PETSC_COMM_SELF,1, "Leading dimension error");
|
| 1752 |
eromero |
356 |
}
|
|
|
357 |
|
|
|
358 |
if (rX != cX) {
|
| 2219 |
jroman |
359 |
SETERRQ(PETSC_COMM_SELF,1, "Rectangular matrices not supported");
|
| 1752 |
eromero |
360 |
}
|
|
|
361 |
|
| 1756 |
eromero |
362 |
if (DVD_IS(sX,DVD_MAT_UTRIANG) &&
|
|
|
363 |
DVD_ISNOT(sX,DVD_MAT_LTRIANG)) { /* UpTr to ... */
|
|
|
364 |
if (DVD_IS(sY,DVD_MAT_UTRIANG) &&
|
|
|
365 |
DVD_ISNOT(sY,DVD_MAT_LTRIANG)) /* ... UpTr, */
|
| 1752 |
eromero |
366 |
c = 0; /* so copy */
|
| 1756 |
eromero |
367 |
else if(DVD_ISNOT(sY,DVD_MAT_UTRIANG) &&
|
|
|
368 |
DVD_IS(sY,DVD_MAT_LTRIANG)) /* ... LoTr, */
|
| 1752 |
eromero |
369 |
c = 1; /* so transpose */
|
|
|
370 |
else /* ... Full, */
|
|
|
371 |
c = 2; /* so reflect from up */
|
| 1756 |
eromero |
372 |
} else if (DVD_ISNOT(sX,DVD_MAT_UTRIANG) &&
|
|
|
373 |
DVD_IS(sX,DVD_MAT_LTRIANG)) { /* LoTr to ... */
|
|
|
374 |
if (DVD_IS(sY,DVD_MAT_UTRIANG) &&
|
|
|
375 |
DVD_ISNOT(sY,DVD_MAT_LTRIANG)) /* ... UpTr, */
|
| 1752 |
eromero |
376 |
c = 1; /* so transpose */
|
| 1756 |
eromero |
377 |
else if(DVD_ISNOT(sY,DVD_MAT_UTRIANG) &&
|
|
|
378 |
DVD_IS(sY,DVD_MAT_LTRIANG)) /* ... LoTr, */
|
| 1752 |
eromero |
379 |
c = 0; /* so copy */
|
|
|
380 |
else /* ... Full, */
|
|
|
381 |
c = 3; /* so reflect fr. down */
|
|
|
382 |
} else /* Full to any, */
|
|
|
383 |
c = 0; /* so copy */
|
|
|
384 |
|
|
|
385 |
ierr = PetscLogEventBegin(SLEPC_SlepcDenseCopy,0,0,0,0);CHKERRQ(ierr);
|
|
|
386 |
|
|
|
387 |
switch(c) {
|
|
|
388 |
case 0: /* copy */
|
|
|
389 |
for(i=0; i<cX; i++) {
|
|
|
390 |
ierr = PetscMemcpy(&Y[ldY*i], &X[ldX*i], sizeof(PetscScalar)*rX);
|
|
|
391 |
CHKERRQ(ierr);
|
|
|
392 |
}
|
|
|
393 |
break;
|
|
|
394 |
|
|
|
395 |
case 1: /* transpose */
|
|
|
396 |
for(i=0; i<cX; i++)
|
|
|
397 |
for(j=0; j<rX; j++)
|
|
|
398 |
Y[ldY*j+i] = X[ldX*i+j];
|
|
|
399 |
break;
|
|
|
400 |
|
|
|
401 |
case 2: /* reflection from up */
|
|
|
402 |
for(i=0; i<cX; i++)
|
|
|
403 |
for(j=0; j<PetscMin(i+1,rX); j++)
|
| 1988 |
eromero |
404 |
Y[ldY*j+i] = PetscConj(Y[ldY*i+j] = X[ldX*i+j]);
|
| 1752 |
eromero |
405 |
break;
|
|
|
406 |
|
|
|
407 |
case 3: /* reflection from down */
|
|
|
408 |
for(i=0; i<cX; i++)
|
|
|
409 |
for(j=i; j<rX; j++)
|
| 1988 |
eromero |
410 |
Y[ldY*j+i] = PetscConj(Y[ldY*i+j] = X[ldX*i+j]);
|
| 1752 |
eromero |
411 |
break;
|
|
|
412 |
}
|
|
|
413 |
ierr = PetscLogEventEnd(SLEPC_SlepcDenseCopy,0,0,0,0);CHKERRQ(ierr);
|
|
|
414 |
|
|
|
415 |
PetscFunctionReturn(0);
|
|
|
416 |
}
|
|
|
417 |
|
|
|
418 |
|
| 2223 |
jroman |
419 |
#undef __FUNCT__
|
|
|
420 |
#define __FUNCT__ "SlepcUpdateVectorsZ"
|
| 1743 |
eromero |
421 |
/*
|
| 1675 |
slepc |
422 |
Compute Y[0..cM-1] <- alpha * X[0..cX-1] * M + beta * Y[0..cM-1],
|
|
|
423 |
where X and Y are contiguous global vectors.
|
| 1626 |
slepc |
424 |
*/
|
| 1675 |
slepc |
425 |
PetscErrorCode SlepcUpdateVectorsZ(Vec *Y, PetscScalar beta, PetscScalar alpha,
|
|
|
426 |
Vec *X, PetscInt cX, const PetscScalar *M, PetscInt ldM, PetscInt rM,
|
|
|
427 |
PetscInt cM)
|
| 1626 |
slepc |
428 |
{
|
|
|
429 |
PetscErrorCode ierr;
|
| 1960 |
eromero |
430 |
|
|
|
431 |
PetscFunctionBegin;
|
|
|
432 |
|
|
|
433 |
ierr = SlepcUpdateVectorsS(Y, 1, beta, alpha, X, cX, 1, M, ldM, rM, cM);
|
|
|
434 |
CHKERRQ(ierr);
|
|
|
435 |
|
|
|
436 |
PetscFunctionReturn(0);
|
|
|
437 |
}
|
|
|
438 |
|
|
|
439 |
|
| 2223 |
jroman |
440 |
#undef __FUNCT__
|
|
|
441 |
#define __FUNCT__ "SlepcUpdateVectorsS"
|
| 1960 |
eromero |
442 |
/*
|
| 1965 |
eromero |
443 |
Compute Y[0:dY:cM*dY-1] <- alpha * X[0:dX:cX-1] * M + beta * Y[0:dY:cM*dY-1],
|
| 1960 |
eromero |
444 |
where X and Y are contiguous global vectors.
|
|
|
445 |
*/
|
|
|
446 |
PetscErrorCode SlepcUpdateVectorsS(Vec *Y, PetscInt dY, PetscScalar beta,
|
|
|
447 |
PetscScalar alpha, Vec *X, PetscInt cX, PetscInt dX, const PetscScalar *M,
|
|
|
448 |
PetscInt ldM, PetscInt rM, PetscInt cM)
|
|
|
449 |
{
|
| 2334 |
jroman |
450 |
PetscErrorCode ierr;
|
|
|
451 |
const PetscScalar *px;
|
|
|
452 |
PetscScalar *py;
|
|
|
453 |
PetscInt rX, rY, ldX, ldY, i, rcX;
|
| 1626 |
slepc |
454 |
|
|
|
455 |
PetscFunctionBegin;
|
| 2346 |
eromero |
456 |
SlepcValidVecsContiguous(Y,cM*dY,1);
|
|
|
457 |
SlepcValidVecsContiguous(X,cX,5);
|
| 1626 |
slepc |
458 |
|
| 1965 |
eromero |
459 |
/* Compute the real number of columns */
|
|
|
460 |
rcX = cX/dX;
|
|
|
461 |
if (rcX != rM) {
|
| 2214 |
jroman |
462 |
SETERRQ(((PetscObject)*Y)->comm,1, "Matrix dimensions do not match");
|
| 1735 |
eromero |
463 |
}
|
|
|
464 |
|
| 1965 |
eromero |
465 |
if ((rcX == 0) || (rM == 0) || (cM == 0)) {
|
| 1626 |
slepc |
466 |
PetscFunctionReturn(0);
|
| 1960 |
eromero |
467 |
} else if ((Y + cM <= X) || (X + cX <= Y) ||
|
|
|
468 |
((X != Y) && ((PetscMax(dX,dY))%(PetscMin(dX,dY))!=0))) {
|
| 1626 |
slepc |
469 |
/* If Y[0..cM-1] and X[0..cX-1] are not overlapped... */
|
|
|
470 |
|
|
|
471 |
/* Get the dense matrices and dimensions associated to Y and X */
|
| 1960 |
eromero |
472 |
ierr = VecGetLocalSize(X[0], &rX); CHKERRQ(ierr);
|
|
|
473 |
ierr = VecGetLocalSize(Y[0], &rY); CHKERRQ(ierr);
|
|
|
474 |
if (rX != rY) {
|
| 2214 |
jroman |
475 |
SETERRQ(((PetscObject)*Y)->comm,1, "The multivectors do not have the same dimension");
|
| 1626 |
slepc |
476 |
}
|
| 2334 |
jroman |
477 |
ierr = VecGetArrayRead(X[0], &px);CHKERRQ(ierr);
|
| 1626 |
slepc |
478 |
ierr = VecGetArray(Y[0], &py);CHKERRQ(ierr);
|
|
|
479 |
|
| 1960 |
eromero |
480 |
/* Update the strides */
|
|
|
481 |
ldX = rX*dX; ldY= rY*dY;
|
|
|
482 |
|
| 1626 |
slepc |
483 |
/* Do operation */
|
| 1965 |
eromero |
484 |
ierr = SlepcDenseMatProd(py, ldY, beta, alpha, px, ldX, rX, rcX,
|
| 1675 |
slepc |
485 |
PETSC_FALSE, M, ldM, rM, cM, PETSC_FALSE); CHKERRQ(ierr);
|
| 1626 |
slepc |
486 |
|
| 2334 |
jroman |
487 |
ierr = VecRestoreArrayRead(X[0], &px);CHKERRQ(ierr);
|
| 1626 |
slepc |
488 |
ierr = VecRestoreArray(Y[0], &py);CHKERRQ(ierr);
|
| 1992 |
eromero |
489 |
for(i=1; i<cM; i++) {
|
|
|
490 |
ierr = PetscObjectStateIncrease((PetscObject)Y[dY*i]); CHKERRQ(ierr);
|
|
|
491 |
}
|
| 1626 |
slepc |
492 |
|
| 1960 |
eromero |
493 |
} else if ((Y >= X) && (beta == 0.0) && (dY == dX)) {
|
| 1626 |
slepc |
494 |
/* If not, call to SlepcUpdateVectors */
|
| 1965 |
eromero |
495 |
ierr = SlepcUpdateStrideVectors(cX, X, Y-X, dX, Y-X+cM*dX, M-ldM*(Y-X),
|
|
|
496 |
ldM, PETSC_FALSE); CHKERRQ(ierr);
|
| 1675 |
slepc |
497 |
if (alpha != 1.0)
|
|
|
498 |
for (i=0; i<cM; i++) {
|
|
|
499 |
ierr = VecScale(Y[i], alpha); CHKERRQ(ierr);
|
|
|
500 |
}
|
| 1626 |
slepc |
501 |
} else {
|
| 2214 |
jroman |
502 |
SETERRQ(((PetscObject)*Y)->comm,1, "Unsupported case");
|
| 1626 |
slepc |
503 |
}
|
|
|
504 |
|
|
|
505 |
PetscFunctionReturn(0);
|
|
|
506 |
}
|
|
|
507 |
|
| 2223 |
jroman |
508 |
#undef __FUNCT__
|
|
|
509 |
#define __FUNCT__ "SlepcUpdateVectorsD"
|
| 1965 |
eromero |
510 |
/*
|
|
|
511 |
Compute X <- alpha * X[0:dX:cX-1] * M
|
|
|
512 |
where X is a matrix with non-consecutive columns
|
|
|
513 |
*/
|
|
|
514 |
PetscErrorCode SlepcUpdateVectorsD(Vec *X, PetscInt cX, PetscScalar alpha,
|
|
|
515 |
const PetscScalar *M, PetscInt ldM, PetscInt rM, PetscInt cM,
|
|
|
516 |
PetscScalar *work, PetscInt lwork)
|
|
|
517 |
{
|
| 2334 |
jroman |
518 |
PetscErrorCode ierr;
|
|
|
519 |
PetscScalar **px, *Y, *Z;
|
|
|
520 |
PetscInt rX, i, j, rY, rY0, ldY;
|
| 1960 |
eromero |
521 |
|
| 1965 |
eromero |
522 |
PetscFunctionBegin;
|
| 2346 |
eromero |
523 |
SlepcValidVecsContiguous(X,cX,1);
|
| 1965 |
eromero |
524 |
|
|
|
525 |
if (cX != rM) {
|
| 2214 |
jroman |
526 |
SETERRQ(((PetscObject)*X)->comm,1, "Matrix dimensions do not match");
|
| 1965 |
eromero |
527 |
}
|
|
|
528 |
|
|
|
529 |
rY = (lwork/2)/cX;
|
|
|
530 |
if (rY <= 0) {
|
| 2214 |
jroman |
531 |
SETERRQ(((PetscObject)*X)->comm,1, "Insufficient work space given");
|
| 1965 |
eromero |
532 |
}
|
|
|
533 |
Y = work; Z = &Y[cX*rY]; ldY = rY;
|
|
|
534 |
|
|
|
535 |
if ((cX == 0) || (rM == 0) || (cM == 0)) {
|
|
|
536 |
PetscFunctionReturn(0);
|
|
|
537 |
}
|
|
|
538 |
|
|
|
539 |
/* Get the dense vectors associated to the columns of X */
|
|
|
540 |
ierr = PetscMalloc(sizeof(Vec)*cX, &px); CHKERRQ(ierr);
|
|
|
541 |
for(i=0; i<cX; i++) {
|
|
|
542 |
ierr = VecGetArray(X[i], &px[i]); CHKERRQ(ierr);
|
|
|
543 |
}
|
|
|
544 |
ierr = VecGetLocalSize(X[0], &rX); CHKERRQ(ierr);
|
|
|
545 |
|
|
|
546 |
for(i=0, rY0=0; i<rX; i+=rY0) {
|
|
|
547 |
rY0 = PetscMin(rY, rX-i);
|
|
|
548 |
|
|
|
549 |
/* Y <- X[i0:i1,:] */
|
|
|
550 |
for(j=0; j<cX; j++) {
|
|
|
551 |
ierr = SlepcDenseCopy(&Y[ldY*j], ldY, px[j]+i, rX, rY0, 1);
|
|
|
552 |
CHKERRQ(ierr);
|
|
|
553 |
}
|
|
|
554 |
|
|
|
555 |
/* Z <- Y * M */
|
|
|
556 |
ierr = SlepcDenseMatProd(Z, ldY, 0.0, alpha, Y, ldY, rY0, cX, PETSC_FALSE,
|
|
|
557 |
M, ldM, rM, cM, PETSC_FALSE);
|
|
|
558 |
CHKERRQ(ierr);
|
|
|
559 |
|
|
|
560 |
/* X <- Z */
|
|
|
561 |
for(j=0; j<cM; j++) {
|
|
|
562 |
ierr = SlepcDenseCopy(px[j]+i, rX, &Z[j*ldY], ldY, rY0, 1);
|
|
|
563 |
CHKERRQ(ierr);
|
|
|
564 |
}
|
|
|
565 |
}
|
|
|
566 |
|
|
|
567 |
for(i=0; i<cX; i++) {
|
|
|
568 |
ierr = VecRestoreArray(X[i], &px[i]); CHKERRQ(ierr);
|
|
|
569 |
}
|
|
|
570 |
ierr = PetscFree(px); CHKERRQ(ierr);
|
|
|
571 |
|
|
|
572 |
PetscFunctionReturn(0);
|
|
|
573 |
}
|
|
|
574 |
|
|
|
575 |
|
|
|
576 |
|
| 2223 |
jroman |
577 |
#undef __FUNCT__
|
|
|
578 |
#define __FUNCT__ "VecsMult"
|
| 1634 |
slepc |
579 |
/* Computes M <- [ M(0:sU-1, 0:sV-1) W(0:sU-1, sV:eV-1) ]
|
|
|
580 |
[ W(sU:eU-1, 0:sV-1) W(sU:eU-1, sV:eV-1) ]
|
|
|
581 |
where W = U' * V.
|
| 1640 |
slepc |
582 |
workS0 and workS1 are an auxiliary scalar vector of size
|
|
|
583 |
(eU-sU)*sV+(eV-sV)*eU. But, if sU == 0, sV == 0 and eU == ldM, only workS0
|
|
|
584 |
is needed, and of size eU*eV.
|
| 1634 |
slepc |
585 |
*/
|
| 1747 |
eromero |
586 |
PetscErrorCode VecsMult(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
| 1634 |
slepc |
587 |
Vec *U, PetscInt sU, PetscInt eU,
|
|
|
588 |
Vec *V, PetscInt sV, PetscInt eV,
|
| 1640 |
slepc |
589 |
PetscScalar *workS0, PetscScalar *workS1)
|
| 1634 |
slepc |
590 |
{
|
| 2334 |
jroman |
591 |
PetscErrorCode ierr;
|
|
|
592 |
PetscInt ldU, ldV, i, j, k;
|
|
|
593 |
const PetscScalar *pu, *pv;
|
|
|
594 |
PetscScalar *W, *Wr;
|
| 1634 |
slepc |
595 |
|
|
|
596 |
PetscFunctionBegin;
|
|
|
597 |
|
|
|
598 |
/* Check if quick exit */
|
|
|
599 |
if ((eU-sU == 0) || (eV-sV == 0))
|
|
|
600 |
PetscFunctionReturn(0);
|
| 2346 |
eromero |
601 |
|
|
|
602 |
SlepcValidVecsContiguous(U,eU,4);
|
|
|
603 |
SlepcValidVecsContiguous(V,eU,7);
|
| 1634 |
slepc |
604 |
|
|
|
605 |
/* Get the dense matrices and dimensions associated to U and V */
|
|
|
606 |
ierr = VecGetLocalSize(U[0], &ldU); CHKERRQ(ierr);
|
|
|
607 |
ierr = VecGetLocalSize(V[0], &ldV); CHKERRQ(ierr);
|
|
|
608 |
if (ldU != ldV) {
|
| 2214 |
jroman |
609 |
SETERRQ(((PetscObject)*U)->comm,1, "Matrix dimensions do not match");
|
| 1634 |
slepc |
610 |
}
|
| 2334 |
jroman |
611 |
ierr = VecGetArrayRead(U[0], &pu);CHKERRQ(ierr);
|
|
|
612 |
ierr = VecGetArrayRead(V[0], &pv);CHKERRQ(ierr);
|
| 1634 |
slepc |
613 |
|
| 1640 |
slepc |
614 |
if (workS0)
|
|
|
615 |
W = workS0;
|
| 1634 |
slepc |
616 |
else {
|
| 1640 |
slepc |
617 |
ierr = PetscMalloc(sizeof(PetscScalar)*((eU-sU)*sV+(eV-sV)*eU), &W);
|
|
|
618 |
CHKERRQ(ierr);
|
| 1634 |
slepc |
619 |
}
|
|
|
620 |
|
| 1745 |
eromero |
621 |
ierr = PetscLogEventBegin(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
622 |
|
| 1640 |
slepc |
623 |
if ((sU == 0) && (sV == 0) && (eU == ldM)) {
|
|
|
624 |
/* Use the smart memory usage version */
|
| 1634 |
slepc |
625 |
|
| 1640 |
slepc |
626 |
/* W <- U' * V */
|
| 1747 |
eromero |
627 |
ierr = SlepcDenseMatProdTriang(W, sM, eU,
|
|
|
628 |
pu, 0, ldU, ldU, eU, PETSC_TRUE,
|
|
|
629 |
pv, 0, ldV, ldV, eV, PETSC_FALSE);
|
| 1640 |
slepc |
630 |
CHKERRQ(ierr);
|
|
|
631 |
|
|
|
632 |
/* ReduceAll(W, SUM) */
|
| 1899 |
eromero |
633 |
ierr = MPI_Allreduce(W, M, eU*eV, MPIU_SCALAR, MPIU_SUM,
|
| 1640 |
slepc |
634 |
((PetscObject)U[0])->comm); CHKERRQ(ierr);
|
| 1747 |
eromero |
635 |
/* Full M matrix */
|
| 1756 |
eromero |
636 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
637 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
| 1640 |
slepc |
638 |
if (workS1)
|
|
|
639 |
Wr = workS1;
|
|
|
640 |
else {
|
|
|
641 |
ierr = PetscMalloc(sizeof(PetscScalar)*((eU-sU)*sV+(eV-sV)*eU), &Wr);
|
|
|
642 |
CHKERRQ(ierr);
|
|
|
643 |
}
|
| 1747 |
eromero |
644 |
|
| 1640 |
slepc |
645 |
/* W(0:(eU-sU)*sV-1) <- U(sU:eU-1)' * V(0:sV-1) */
|
|
|
646 |
ierr = SlepcDenseMatProd(W, eU-sU, 0.0, 1.0,
|
|
|
647 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
648 |
pv , ldV, ldV, sV, PETSC_FALSE);
|
|
|
649 |
CHKERRQ(ierr);
|
|
|
650 |
|
|
|
651 |
/* W((eU-sU)*sV:(eU-sU)*sV+(eV-sV)*eU-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
652 |
ierr = SlepcDenseMatProd(W+(eU-sU)*sV, eU, 0.0, 1.0,
|
|
|
653 |
pu, ldU, ldU, eU, PETSC_TRUE,
|
|
|
654 |
pv+ldV*sV, ldV, ldV, eV-sV, PETSC_FALSE);
|
|
|
655 |
CHKERRQ(ierr);
|
|
|
656 |
|
|
|
657 |
/* ReduceAll(W, SUM) */
|
|
|
658 |
ierr = MPI_Allreduce(W, Wr, (eU-sU)*sV+(eV-sV)*eU, MPIU_SCALAR,
|
| 1899 |
eromero |
659 |
MPIU_SUM, ((PetscObject)U[0])->comm); CHKERRQ(ierr);
|
| 1640 |
slepc |
660 |
|
|
|
661 |
/* M(...,...) <- W */
|
|
|
662 |
for (i=0,k=0; i<sV; i++)
|
|
|
663 |
for (j=ldM*i+sU; j<ldM*i+eU; j++,k++) M[j] = Wr[k];
|
|
|
664 |
for (i=sV; i<eV; i++)
|
|
|
665 |
for (j=ldM*i; j<ldM*i+eU; j++,k++) M[j] = Wr[k];
|
|
|
666 |
|
| 1747 |
eromero |
667 |
if (!workS1) {
|
|
|
668 |
ierr = PetscFree(Wr); CHKERRQ(ierr);
|
|
|
669 |
}
|
| 1745 |
eromero |
670 |
|
| 1747 |
eromero |
671 |
/* Upper triangular M matrix */
|
| 1756 |
eromero |
672 |
} else if (DVD_IS(sM,DVD_MAT_UTRIANG) &&
|
|
|
673 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
| 1747 |
eromero |
674 |
if (workS1)
|
|
|
675 |
Wr = workS1;
|
|
|
676 |
else {
|
|
|
677 |
ierr = PetscMalloc(sizeof(PetscScalar)*(eV-sV)*eU, &Wr);
|
|
|
678 |
CHKERRQ(ierr);
|
|
|
679 |
}
|
|
|
680 |
|
|
|
681 |
/* W(0:(eV-sV)*eU-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
682 |
ierr = SlepcDenseMatProd(W, 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) */
|
| 1899 |
eromero |
688 |
ierr = MPI_Allreduce(W, Wr, (eV-sV)*eU, MPIU_SCALAR, MPIU_SUM,
|
| 1747 |
eromero |
689 |
((PetscObject)U[0])->comm); CHKERRQ(ierr);
|
|
|
690 |
|
|
|
691 |
/* M(...,...) <- W */
|
|
|
692 |
for (i=sV,k=0; i<eV; i++)
|
|
|
693 |
for (j=ldM*i; j<ldM*i+eU; j++,k++) M[j] = Wr[k];
|
|
|
694 |
|
| 1640 |
slepc |
695 |
if (!workS1) {
|
|
|
696 |
ierr = PetscFree(Wr); CHKERRQ(ierr);
|
|
|
697 |
}
|
| 1747 |
eromero |
698 |
|
|
|
699 |
/* Lower triangular M matrix */
|
| 1756 |
eromero |
700 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
701 |
DVD_IS(sM,DVD_MAT_LTRIANG)) {
|
| 1747 |
eromero |
702 |
if (workS1)
|
|
|
703 |
Wr = workS1;
|
|
|
704 |
else {
|
|
|
705 |
ierr = PetscMalloc(sizeof(PetscScalar)*(eU-sU)*eV, &Wr);
|
|
|
706 |
CHKERRQ(ierr);
|
|
|
707 |
}
|
|
|
708 |
|
|
|
709 |
/* W(0:(eU-sU)*eV-1) <- U(sU:eU-1)' * V(0:eV-1) */
|
|
|
710 |
ierr = SlepcDenseMatProd(W, eU-sU, 0.0, 1.0,
|
|
|
711 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
712 |
pv , ldV, ldV, eV, PETSC_FALSE);
|
|
|
713 |
CHKERRQ(ierr);
|
|
|
714 |
|
|
|
715 |
/* ReduceAll(W, SUM) */
|
| 1899 |
eromero |
716 |
ierr = MPI_Allreduce(W, Wr, (eU-sU)*eV, MPIU_SCALAR, MPIU_SUM,
|
| 1747 |
eromero |
717 |
((PetscObject)U[0])->comm); CHKERRQ(ierr);
|
|
|
718 |
|
|
|
719 |
/* M(...,...) <- W */
|
|
|
720 |
for (i=0,k=0; i<eV; i++)
|
|
|
721 |
for (j=ldM*i+sU; j<ldM*i+eU; j++,k++) M[j] = Wr[k];
|
|
|
722 |
|
|
|
723 |
if (!workS1) {
|
|
|
724 |
ierr = PetscFree(Wr); CHKERRQ(ierr);
|
|
|
725 |
}
|
| 1634 |
slepc |
726 |
}
|
|
|
727 |
|
| 1747 |
eromero |
728 |
ierr = PetscLogEventEnd(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
729 |
|
| 1640 |
slepc |
730 |
if (!workS0) {
|
| 1634 |
slepc |
731 |
ierr = PetscFree(W); CHKERRQ(ierr);
|
|
|
732 |
}
|
|
|
733 |
|
| 2334 |
jroman |
734 |
ierr = VecRestoreArrayRead(U[0], &pu); CHKERRQ(ierr);
|
|
|
735 |
ierr = VecRestoreArrayRead(V[0], &pv); CHKERRQ(ierr);
|
| 1634 |
slepc |
736 |
PetscFunctionReturn(0);
|
|
|
737 |
}
|
|
|
738 |
|
| 1795 |
eromero |
739 |
|
| 2223 |
jroman |
740 |
#undef __FUNCT__
|
|
|
741 |
#define __FUNCT__ "VecsMultIa"
|
| 1753 |
eromero |
742 |
/* Computes M <- [ M(0:sU-1, 0:sV-1) W(0:sU-1, sV:eV-1) ]
|
|
|
743 |
[ W(sU:eU-1, 0:sV-1) W(sU:eU-1, sV:eV-1) ]
|
| 1808 |
eromero |
744 |
where W = local_U' * local_V. Needs VecsMultIb for completing the operation!
|
| 1795 |
eromero |
745 |
workS0 and workS1 are an auxiliary scalar vector of size
|
|
|
746 |
(eU-sU)*sV+(eV-sV)*eU. But, if sU == 0, sV == 0 and eU == ldM, only workS0
|
|
|
747 |
is needed, and of size eU*eV.
|
|
|
748 |
*/
|
|
|
749 |
PetscErrorCode VecsMultIa(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
|
|
750 |
Vec *U, PetscInt sU, PetscInt eU,
|
|
|
751 |
Vec *V, PetscInt sV, PetscInt eV)
|
|
|
752 |
{
|
|
|
753 |
PetscErrorCode ierr;
|
|
|
754 |
PetscInt ldU, ldV;
|
|
|
755 |
PetscScalar *pu, *pv;
|
|
|
756 |
|
|
|
757 |
PetscFunctionBegin;
|
|
|
758 |
|
|
|
759 |
/* Check if quick exit */
|
|
|
760 |
if ((eU-sU == 0) || (eV-sV == 0))
|
|
|
761 |
PetscFunctionReturn(0);
|
|
|
762 |
|
| 2346 |
eromero |
763 |
SlepcValidVecsContiguous(U,eU,4);
|
|
|
764 |
SlepcValidVecsContiguous(V,eU,7);
|
|
|
765 |
|
| 1795 |
eromero |
766 |
/* Get the dense matrices and dimensions associated to U and V */
|
|
|
767 |
ierr = VecGetLocalSize(U[0], &ldU); CHKERRQ(ierr);
|
|
|
768 |
ierr = VecGetLocalSize(V[0], &ldV); CHKERRQ(ierr);
|
|
|
769 |
if (ldU != ldV) {
|
| 2214 |
jroman |
770 |
SETERRQ(((PetscObject)*U)->comm,1, "Matrix dimensions do not match");
|
| 1795 |
eromero |
771 |
}
|
|
|
772 |
ierr = VecGetArray(U[0], &pu);CHKERRQ(ierr);
|
|
|
773 |
ierr = VecGetArray(V[0], &pv);CHKERRQ(ierr);
|
|
|
774 |
|
|
|
775 |
if ((sU == 0) && (sV == 0) && (eU == ldM)) {
|
|
|
776 |
/* M <- local_U' * local_V */
|
|
|
777 |
ierr = SlepcDenseMatProdTriang(M, sM, eU,
|
|
|
778 |
pu, 0, ldU, ldU, eU, PETSC_TRUE,
|
|
|
779 |
pv, 0, ldV, ldV, eV, PETSC_FALSE);
|
|
|
780 |
CHKERRQ(ierr);
|
|
|
781 |
|
|
|
782 |
/* Full M matrix */
|
|
|
783 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
784 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
|
|
785 |
/* M(sU:eU-1,0:sV-1) <- U(sU:eU-1)' * V(0:sV-1) */
|
|
|
786 |
ierr = SlepcDenseMatProd(&M[sU], ldM, 0.0, 1.0,
|
|
|
787 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
788 |
pv , ldV, ldV, sV, PETSC_FALSE);
|
|
|
789 |
CHKERRQ(ierr);
|
|
|
790 |
|
|
|
791 |
/* M(0:eU-1,sV:eV-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
792 |
ierr = SlepcDenseMatProd(&M[ldM*sV], ldM, 0.0, 1.0,
|
|
|
793 |
pu, ldU, ldU, eU, PETSC_TRUE,
|
|
|
794 |
pv+ldV*sV, ldV, ldV, eV-sV, PETSC_FALSE);
|
|
|
795 |
CHKERRQ(ierr);
|
|
|
796 |
|
|
|
797 |
/* Other structures */
|
| 2214 |
jroman |
798 |
} else SETERRQ(((PetscObject)*U)->comm,1, "Matrix structure not supported");
|
| 1795 |
eromero |
799 |
|
|
|
800 |
ierr = VecRestoreArray(U[0], &pu); CHKERRQ(ierr);
|
| 1992 |
eromero |
801 |
ierr = PetscObjectStateDecrease((PetscObject)U[0]); CHKERRQ(ierr);
|
| 1795 |
eromero |
802 |
ierr = VecRestoreArray(V[0], &pv); CHKERRQ(ierr);
|
| 1992 |
eromero |
803 |
ierr = PetscObjectStateDecrease((PetscObject)V[0]); CHKERRQ(ierr);
|
| 1795 |
eromero |
804 |
|
|
|
805 |
PetscFunctionReturn(0);
|
|
|
806 |
}
|
|
|
807 |
|
|
|
808 |
|
| 2223 |
jroman |
809 |
#undef __FUNCT__
|
|
|
810 |
#define __FUNCT__ "VecsMultIc"
|
| 1808 |
eromero |
811 |
/* Computes M <- nprocs*M
|
|
|
812 |
where nprocs is the number of processors.
|
|
|
813 |
*/
|
|
|
814 |
PetscErrorCode VecsMultIc(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
|
|
815 |
PetscInt rM, PetscInt cM, Vec V)
|
|
|
816 |
{
|
| 2117 |
eromero |
817 |
int i,j,n;
|
| 1808 |
eromero |
818 |
|
|
|
819 |
PetscFunctionBegin;
|
|
|
820 |
|
|
|
821 |
/* Check if quick exit */
|
|
|
822 |
if ((rM == 0) || (cM == 0))
|
|
|
823 |
PetscFunctionReturn(0);
|
|
|
824 |
|
| 2214 |
jroman |
825 |
if (sM != 0) SETERRQ(((PetscObject)V)->comm,1, "Matrix structure not supported");
|
| 1808 |
eromero |
826 |
|
|
|
827 |
MPI_Comm_size(((PetscObject)V)->comm, &n);
|
|
|
828 |
|
|
|
829 |
for(i=0; i<cM; i++)
|
|
|
830 |
for(j=0; j<rM; j++)
|
|
|
831 |
M[ldM*i+j]/= (PetscScalar)n;
|
|
|
832 |
|
|
|
833 |
PetscFunctionReturn(0);
|
|
|
834 |
}
|
|
|
835 |
|
|
|
836 |
|
| 2223 |
jroman |
837 |
#undef __FUNCT__
|
|
|
838 |
#define __FUNCT__ "VecsMultIb"
|
| 1795 |
eromero |
839 |
/* Computes N <- Allreduce( [ M(0:sU-1, 0:sV-1) W(0:sU-1, sV:eV-1) ] )
|
|
|
840 |
( [ W(sU:eU-1, 0:sV-1) W(sU:eU-1, sV:eV-1) ] )
|
| 1753 |
eromero |
841 |
where W = U' * V.
|
| 1795 |
eromero |
842 |
workS0 and workS1 are an auxiliary scalar vector of size
|
|
|
843 |
(eU-sU)*sV+(eV-sV)*eU. But, if sU == 0, sV == 0 and eU == ldM, only workS0
|
|
|
844 |
is needed, and of size eU*eV.
|
|
|
845 |
*/
|
|
|
846 |
PetscErrorCode VecsMultIb(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
|
|
847 |
PetscInt rM, PetscInt cM, PetscScalar *auxS,
|
|
|
848 |
Vec V)
|
|
|
849 |
{
|
|
|
850 |
PetscErrorCode ierr;
|
|
|
851 |
PetscScalar *W, *Wr;
|
|
|
852 |
|
|
|
853 |
PetscFunctionBegin;
|
|
|
854 |
|
|
|
855 |
/* Check if quick exit */
|
|
|
856 |
if ((rM == 0) || (cM == 0))
|
|
|
857 |
PetscFunctionReturn(0);
|
|
|
858 |
|
|
|
859 |
if (auxS)
|
|
|
860 |
W = auxS;
|
|
|
861 |
else {
|
|
|
862 |
ierr = PetscMalloc(sizeof(PetscScalar)*rM*cM*2, &W);
|
|
|
863 |
CHKERRQ(ierr);
|
|
|
864 |
}
|
|
|
865 |
Wr = W + rM*cM;
|
|
|
866 |
|
|
|
867 |
ierr = PetscLogEventBegin(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
868 |
|
|
|
869 |
if (sM == 0) {
|
|
|
870 |
/* W <- M */
|
|
|
871 |
ierr = SlepcDenseCopy(W, rM, M, ldM, rM, cM); CHKERRQ(ierr);
|
|
|
872 |
|
|
|
873 |
/* Wr <- ReduceAll(W, SUM) */
|
| 1899 |
eromero |
874 |
ierr = MPI_Allreduce(W, Wr, rM*cM, MPIU_SCALAR, MPIU_SUM,
|
| 1795 |
eromero |
875 |
((PetscObject)V)->comm); CHKERRQ(ierr);
|
|
|
876 |
|
|
|
877 |
/* M <- Wr */
|
|
|
878 |
ierr = SlepcDenseCopy(M, ldM, Wr, rM, rM, cM); CHKERRQ(ierr);
|
|
|
879 |
|
|
|
880 |
/* Other structures */
|
| 2214 |
jroman |
881 |
} else SETERRQ(((PetscObject)V)->comm,1, "Matrix structure not supported");
|
| 1795 |
eromero |
882 |
|
|
|
883 |
ierr = PetscLogEventEnd(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
884 |
|
|
|
885 |
if (!auxS) {
|
|
|
886 |
ierr = PetscFree(W); CHKERRQ(ierr);
|
|
|
887 |
}
|
|
|
888 |
|
|
|
889 |
PetscFunctionReturn(0);
|
|
|
890 |
}
|
|
|
891 |
|
|
|
892 |
|
| 2223 |
jroman |
893 |
#undef __FUNCT__
|
|
|
894 |
#define __FUNCT__ "VecsMultS"
|
| 1795 |
eromero |
895 |
/* Computes M <- [ M(0:sU-1, 0:sV-1) W(0:sU-1, sV:eV-1) ]
|
|
|
896 |
[ W(sU:eU-1, 0:sV-1) W(sU:eU-1, sV:eV-1) ]
|
|
|
897 |
where W = U' * V.
|
| 1753 |
eromero |
898 |
r, a DvdReduction structure,
|
|
|
899 |
sr, an structure DvdMult_copy_func.
|
|
|
900 |
*/
|
|
|
901 |
PetscErrorCode VecsMultS(PetscScalar *M, MatType_t sM, PetscInt ldM,
|
|
|
902 |
Vec *U, PetscInt sU, PetscInt eU,
|
|
|
903 |
Vec *V, PetscInt sV, PetscInt eV, DvdReduction *r,
|
|
|
904 |
DvdMult_copy_func *sr)
|
|
|
905 |
{
|
| 2334 |
jroman |
906 |
PetscErrorCode ierr;
|
|
|
907 |
PetscInt ldU, ldV;
|
|
|
908 |
const PetscScalar *pu, *pv;
|
|
|
909 |
PetscScalar *W;
|
| 1753 |
eromero |
910 |
|
|
|
911 |
PetscFunctionBegin;
|
|
|
912 |
|
|
|
913 |
/* Check if quick exit */
|
|
|
914 |
if ((eU-sU == 0) || (eV-sV == 0))
|
|
|
915 |
PetscFunctionReturn(0);
|
|
|
916 |
|
| 2346 |
eromero |
917 |
SlepcValidVecsContiguous(U,eU,4);
|
|
|
918 |
SlepcValidVecsContiguous(V,eU,7);
|
|
|
919 |
|
| 1753 |
eromero |
920 |
/* Get the dense matrices and dimensions associated to U and V */
|
|
|
921 |
ierr = VecGetLocalSize(U[0], &ldU); CHKERRQ(ierr);
|
|
|
922 |
ierr = VecGetLocalSize(V[0], &ldV); CHKERRQ(ierr);
|
|
|
923 |
if (ldU != ldV) {
|
| 2214 |
jroman |
924 |
SETERRQ(((PetscObject)*U)->comm,1, "Matrix dimensions do not match");
|
| 1753 |
eromero |
925 |
}
|
| 2334 |
jroman |
926 |
ierr = VecGetArrayRead(U[0], &pu);CHKERRQ(ierr);
|
|
|
927 |
ierr = VecGetArrayRead(V[0], &pv);CHKERRQ(ierr);
|
| 1753 |
eromero |
928 |
|
|
|
929 |
ierr = PetscLogEventBegin(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
930 |
|
|
|
931 |
if ((sU == 0) && (sV == 0) && (eU == ldM)) {
|
|
|
932 |
/* Use the smart memory usage version */
|
|
|
933 |
|
|
|
934 |
/* Add the reduction to r */
|
|
|
935 |
ierr = SlepcAllReduceSum(r, eU*eV, VecsMultS_copy_func, sr, &W);
|
|
|
936 |
CHKERRQ(ierr);
|
|
|
937 |
|
|
|
938 |
/* W <- U' * V */
|
|
|
939 |
ierr = SlepcDenseMatProdTriang(W, sM, eU,
|
|
|
940 |
pu, 0, ldU, ldU, eU, PETSC_TRUE,
|
|
|
941 |
pv, 0, ldV, ldV, eV, PETSC_FALSE);
|
|
|
942 |
CHKERRQ(ierr);
|
|
|
943 |
|
|
|
944 |
/* M <- ReduceAll(W, SUM) */
|
|
|
945 |
sr->M = M; sr->ld = ldM;
|
|
|
946 |
sr->i0 = 0; sr->i1 = eV; sr->s0 = sU; sr->e0 = eU;
|
|
|
947 |
sr->i2 = eV;
|
|
|
948 |
|
|
|
949 |
/* Full M matrix */
|
| 1756 |
eromero |
950 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
951 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
| 1753 |
eromero |
952 |
/* Add the reduction to r */
|
|
|
953 |
ierr = SlepcAllReduceSum(r, (eU-sU)*sV+(eV-sV)*eU, VecsMultS_copy_func,
|
|
|
954 |
sr, &W);
|
|
|
955 |
CHKERRQ(ierr);
|
|
|
956 |
|
|
|
957 |
/* W(0:(eU-sU)*sV-1) <- U(sU:eU-1)' * V(0:sV-1) */
|
|
|
958 |
ierr = SlepcDenseMatProd(W, eU-sU, 0.0, 1.0,
|
|
|
959 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
960 |
pv , ldV, ldV, sV, PETSC_FALSE);
|
|
|
961 |
CHKERRQ(ierr);
|
|
|
962 |
|
|
|
963 |
/* W((eU-sU)*sV:(eU-sU)*sV+(eV-sV)*eU-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
964 |
ierr = SlepcDenseMatProd(W+(eU-sU)*sV, eU, 0.0, 1.0,
|
|
|
965 |
pu, ldU, ldU, eU, PETSC_TRUE,
|
|
|
966 |
pv+ldV*sV, ldV, ldV, eV-sV, PETSC_FALSE);
|
|
|
967 |
CHKERRQ(ierr);
|
|
|
968 |
|
|
|
969 |
/* M <- ReduceAll(W, SUM) */
|
|
|
970 |
sr->M = M; sr->ld = ldM;
|
|
|
971 |
sr->i0 = 0; sr->i1 = sV; sr->s0 = sU; sr->e0 = eU;
|
|
|
972 |
sr->i2 = eV; sr->s1 = 0; sr->e1 = eU;
|
|
|
973 |
|
|
|
974 |
/* Upper triangular M matrix */
|
| 1756 |
eromero |
975 |
} else if (DVD_IS(sM,DVD_MAT_UTRIANG) &&
|
|
|
976 |
DVD_ISNOT(sM,DVD_MAT_LTRIANG)) {
|
| 1753 |
eromero |
977 |
/* Add the reduction to r */
|
|
|
978 |
ierr = SlepcAllReduceSum(r, (eV-sV)*eU, VecsMultS_copy_func, sr, &W);
|
|
|
979 |
CHKERRQ(ierr);
|
|
|
980 |
|
|
|
981 |
/* W(0:(eV-sV)*eU-1) <- U(0:eU-1)' * V(sV:eV-1) */
|
|
|
982 |
ierr = SlepcDenseMatProd(W, eU, 0.0, 1.0,
|
|
|
983 |
pu, ldU, ldU, eU, PETSC_TRUE,
|
|
|
984 |
pv+ldV*sV, ldV, ldV, eV-sV, PETSC_FALSE);
|
|
|
985 |
CHKERRQ(ierr);
|
|
|
986 |
|
|
|
987 |
/* M <- ReduceAll(W, SUM) */
|
|
|
988 |
sr->M = M; sr->ld = ldM;
|
|
|
989 |
sr->i0 = sV; sr->i1 = eV; sr->s0 = 0; sr->e0 = eU;
|
|
|
990 |
sr->i2 = eV;
|
|
|
991 |
|
|
|
992 |
/* Lower triangular M matrix */
|
| 1756 |
eromero |
993 |
} else if (DVD_ISNOT(sM,DVD_MAT_UTRIANG) &&
|
|
|
994 |
DVD_IS(sM,DVD_MAT_LTRIANG)) {
|
| 1753 |
eromero |
995 |
/* Add the reduction to r */
|
|
|
996 |
ierr = SlepcAllReduceSum(r, (eU-sU)*eV, VecsMultS_copy_func, sr, &W);
|
|
|
997 |
CHKERRQ(ierr);
|
|
|
998 |
|
|
|
999 |
/* W(0:(eU-sU)*eV-1) <- U(sU:eU-1)' * V(0:eV-1) */
|
|
|
1000 |
ierr = SlepcDenseMatProd(W, eU-sU, 0.0, 1.0,
|
|
|
1001 |
pu+ldU*sU, ldU, ldU, eU-sU, PETSC_TRUE,
|
|
|
1002 |
pv , ldV, ldV, eV, PETSC_FALSE);
|
|
|
1003 |
CHKERRQ(ierr);
|
|
|
1004 |
|
|
|
1005 |
/* ReduceAll(W, SUM) */
|
|
|
1006 |
sr->M = M; sr->ld = ldM;
|
|
|
1007 |
sr->i0 = 0; sr->i1 = eV; sr->s0 = sU; sr->e0 = eU;
|
|
|
1008 |
sr->i2 = eV;
|
|
|
1009 |
}
|
|
|
1010 |
|
|
|
1011 |
ierr = PetscLogEventEnd(SLEPC_VecsMult,0,0,0,0);CHKERRQ(ierr);
|
|
|
1012 |
|
| 2334 |
jroman |
1013 |
ierr = VecRestoreArrayRead(U[0], &pu); CHKERRQ(ierr);
|
|
|
1014 |
ierr = VecRestoreArrayRead(V[0], &pv); CHKERRQ(ierr);
|
| 1753 |
eromero |
1015 |
PetscFunctionReturn(0);
|
|
|
1016 |
}
|
|
|
1017 |
|
|
|
1018 |
#undef __FUNCT__
|
|
|
1019 |
#define __FUNCT__ "VecsMultS_copy_func"
|
|
|
1020 |
PetscErrorCode VecsMultS_copy_func(PetscScalar *out, PetscInt size_out,
|
|
|
1021 |
void *ptr)
|
|
|
1022 |
{
|
|
|
1023 |
PetscInt i, j, k;
|
|
|
1024 |
DvdMult_copy_func
|
|
|
1025 |
*sr = (DvdMult_copy_func*)ptr;
|
|
|
1026 |
|
|
|
1027 |
PetscFunctionBegin;
|
|
|
1028 |
|
|
|
1029 |
for (i=sr->i0,k=0; i<sr->i1; i++)
|
|
|
1030 |
for (j=sr->ld*i+sr->s0; j<sr->ld*i+sr->e0; j++,k++) sr->M[j] = out[k];
|
|
|
1031 |
for (i=sr->i1; i<sr->i2; i++)
|
|
|
1032 |
for (j=sr->ld*i+sr->s1; j<sr->ld*i+sr->e1; j++,k++) sr->M[j] = out[k];
|
|
|
1033 |
|
| 2214 |
jroman |
1034 |
if (k != size_out) SETERRQ(PETSC_COMM_SELF,1, "Wrong size");
|
| 1753 |
eromero |
1035 |
|
|
|
1036 |
PetscFunctionReturn(0);
|
|
|
1037 |
}
|
|
|
1038 |
|
| 2223 |
jroman |
1039 |
#undef __FUNCT__
|
|
|
1040 |
#define __FUNCT__ "VecsOrthonormalize"
|
| 1675 |
slepc |
1041 |
/* Orthonormalize a chunk of parallel vector.
|
|
|
1042 |
NOTE: wS0 and wS1 must be of size n*n.
|
|
|
1043 |
*/
|
|
|
1044 |
PetscErrorCode VecsOrthonormalize(Vec *V, PetscInt n, PetscScalar *wS0,
|
|
|
1045 |
PetscScalar *wS1)
|
|
|
1046 |
{
|
|
|
1047 |
PetscErrorCode ierr;
|
|
|
1048 |
PetscBLASInt nn = n, info, ld;
|
| 1992 |
eromero |
1049 |
PetscInt ldV, i;
|
| 1675 |
slepc |
1050 |
PetscScalar *H, *T, one=1.0, *pv;
|
|
|
1051 |
|
|
|
1052 |
PetscFunctionBegin;
|
|
|
1053 |
|
|
|
1054 |
if (!wS0) {
|
|
|
1055 |
ierr = PetscMalloc(sizeof(PetscScalar)*n*n, &H); CHKERRQ(ierr);
|
|
|
1056 |
} else
|
|
|
1057 |
H = wS0;
|
|
|
1058 |
if (!wS1) {
|
|
|
1059 |
ierr = PetscMalloc(sizeof(PetscScalar)*n*n, &T); CHKERRQ(ierr);
|
|
|
1060 |
} else
|
|
|
1061 |
T = wS1;
|
|
|
1062 |
|
|
|
1063 |
/* H <- V' * V */
|
| 1747 |
eromero |
1064 |
ierr = VecsMult(H, 0, n, V, 0, n, V, 0, n, T, PETSC_NULL); CHKERRQ(ierr);
|
| 1675 |
slepc |
1065 |
|
|
|
1066 |
/* H <- chol(H) */
|
|
|
1067 |
LAPACKpbtrf_("U", &nn, &nn, H, &nn, &info);
|
| 2214 |
jroman |
1068 |
if (info) SETERRQ1(((PetscObject)*V)->comm,PETSC_ERR_LIB, "Error in Lapack PBTRF %d", info);
|
| 1675 |
slepc |
1069 |
|
|
|
1070 |
/* V <- V * inv(H) */
|
|
|
1071 |
ierr = VecGetLocalSize(V[0], &ldV); CHKERRQ(ierr);
|
|
|
1072 |
ierr = VecGetArray(V[0], &pv);CHKERRQ(ierr);
|
|
|
1073 |
ld = ldV;
|
|
|
1074 |
BLAStrsm_("R", "U", "N", "N", &ld, &nn, &one, H, &nn, pv, &ld);
|
|
|
1075 |
ierr = VecRestoreArray(V[0], &pv);CHKERRQ(ierr);
|
| 1992 |
eromero |
1076 |
for(i=1; i<n; i++) {
|
|
|
1077 |
ierr = PetscObjectStateIncrease((PetscObject)V[i]); CHKERRQ(ierr);
|
|
|
1078 |
}
|
| 1675 |
slepc |
1079 |
|
|
|
1080 |
if (!wS0) {
|
|
|
1081 |
ierr = PetscFree(H); CHKERRQ(ierr);
|
|
|
1082 |
}
|
|
|
1083 |
if (!wS1) {
|
|
|
1084 |
ierr = PetscFree(T); CHKERRQ(ierr);
|
|
|
1085 |
}
|
|
|
1086 |
|
|
|
1087 |
PetscFunctionReturn(0);
|
|
|
1088 |
}
|
|
|
1089 |
|
| 2223 |
jroman |
1090 |
#undef __FUNCT__
|
|
|
1091 |
#define __FUNCT__ "SlepcAllReduceSumBegin"
|
| 1753 |
eromero |
1092 |
/*
|
|
|
1093 |
Sum up several arrays with only one call to MPIReduce.
|
|
|
1094 |
*/
|
|
|
1095 |
PetscErrorCode SlepcAllReduceSumBegin(DvdReductionChunk *ops,
|
|
|
1096 |
PetscInt max_size_ops,
|
|
|
1097 |
PetscScalar *in, PetscScalar *out,
|
|
|
1098 |
PetscInt max_size_in, DvdReduction *r,
|
|
|
1099 |
MPI_Comm comm)
|
|
|
1100 |
{
|
|
|
1101 |
PetscFunctionBegin;
|
|
|
1102 |
|
|
|
1103 |
r->in = in;
|
|
|
1104 |
r->out = out;
|
|
|
1105 |
r->size_in = 0;
|
|
|
1106 |
r->max_size_in = max_size_in;
|
|
|
1107 |
r->ops = ops;
|
|
|
1108 |
r->size_ops = 0;
|
|
|
1109 |
r->max_size_ops = max_size_ops;
|
|
|
1110 |
r->comm = comm;
|
|
|
1111 |
|
|
|
1112 |
PetscFunctionReturn(0);
|
|
|
1113 |
}
|
|
|
1114 |
|
|
|
1115 |
#undef __FUNCT__
|
|
|
1116 |
#define __FUNCT__ "SlepcAllReduceSum"
|
|
|
1117 |
PetscErrorCode SlepcAllReduceSum(DvdReduction *r, PetscInt size_in,
|
|
|
1118 |
DvdReductionPostF f, void *ptr,
|
|
|
1119 |
PetscScalar **in)
|
|
|
1120 |
{
|
|
|
1121 |
PetscFunctionBegin;
|
|
|
1122 |
|
|
|
1123 |
*in = r->in + r->size_in;
|
|
|
1124 |
r->ops[r->size_ops].out = r->out + r->size_in;
|
|
|
1125 |
r->ops[r->size_ops].size_out = size_in;
|
|
|
1126 |
r->ops[r->size_ops].f = f;
|
|
|
1127 |
r->ops[r->size_ops].ptr = ptr;
|
|
|
1128 |
if (++(r->size_ops) > r->max_size_ops) {
|
| 2214 |
jroman |
1129 |
SETERRQ(PETSC_COMM_SELF,1, "max_size_ops is not large enough");
|
| 1753 |
eromero |
1130 |
}
|
|
|
1131 |
if ((r->size_in+= size_in) > r->max_size_in) {
|
| 2214 |
jroman |
1132 |
SETERRQ(PETSC_COMM_SELF,1, "max_size_in is not large enough");
|
| 1753 |
eromero |
1133 |
}
|
|
|
1134 |
|
|
|
1135 |
PetscFunctionReturn(0);
|
|
|
1136 |
}
|
|
|
1137 |
|
|
|
1138 |
|
|
|
1139 |
#undef __FUNCT__
|
|
|
1140 |
#define __FUNCT__ "SlepcAllReduceSumEnd"
|
|
|
1141 |
PetscErrorCode SlepcAllReduceSumEnd(DvdReduction *r)
|
|
|
1142 |
{
|
|
|
1143 |
PetscErrorCode ierr;
|
|
|
1144 |
PetscInt i;
|
|
|
1145 |
|
|
|
1146 |
PetscFunctionBegin;
|
|
|
1147 |
|
| 1795 |
eromero |
1148 |
/* Check if quick exit */
|
|
|
1149 |
if (r->size_ops == 0)
|
|
|
1150 |
PetscFunctionReturn(0);
|
|
|
1151 |
|
| 1753 |
eromero |
1152 |
/* Call the MPIAllReduce routine */
|
| 1899 |
eromero |
1153 |
ierr = MPI_Allreduce(r->in, r->out, r->size_in, MPIU_SCALAR, MPIU_SUM,
|
| 1753 |
eromero |
1154 |
r->comm); CHKERRQ(ierr);
|
|
|
1155 |
|
|
|
1156 |
/* Call the postponed routines */
|
|
|
1157 |
for(i=0; i<r->size_ops; i++) {
|
|
|
1158 |
ierr = r->ops[i].f(r->ops[i].out, r->ops[i].size_out, r->ops[i].ptr);
|
|
|
1159 |
CHKERRQ(ierr);
|
|
|
1160 |
}
|
|
|
1161 |
|
|
|
1162 |
/* Tag the operation as done */
|
|
|
1163 |
r->size_ops = 0;
|
|
|
1164 |
|
|
|
1165 |
PetscFunctionReturn(0);
|
|
|
1166 |
}
|
| 1795 |
eromero |
1167 |
|
| 1831 |
eromero |
1168 |
|
| 1795 |
eromero |
1169 |
#undef __FUNCT__
|
|
|
1170 |
#define __FUNCT__ "dvd_orthV"
|
| 1989 |
eromero |
1171 |
PetscErrorCode dvd_orthV(IP ip, Vec *DS, PetscInt size_DS, Vec *cX,
|
|
|
1172 |
PetscInt size_cX, Vec *V, PetscInt V_new_s,
|
|
|
1173 |
PetscInt V_new_e, PetscScalar *auxS, Vec auxV,
|
|
|
1174 |
PetscRandom rand)
|
| 1795 |
eromero |
1175 |
{
|
|
|
1176 |
PetscErrorCode ierr;
|
|
|
1177 |
PetscInt i, j;
|
| 2216 |
jroman |
1178 |
PetscBool lindep;
|
| 1795 |
eromero |
1179 |
PetscReal norm;
|
| 1869 |
eromero |
1180 |
PetscScalar *auxS0 = auxS;
|
| 1831 |
eromero |
1181 |
|
| 1795 |
eromero |
1182 |
PetscFunctionBegin;
|
| 1831 |
eromero |
1183 |
|
| 1795 |
eromero |
1184 |
/* Orthonormalize V with IP */
|
|
|
1185 |
for (i=V_new_s; i<V_new_e; i++) {
|
|
|
1186 |
for(j=0; j<3; j++) {
|
| 1975 |
eromero |
1187 |
if (j>0) { ierr = SlepcVecSetRandom(V[i], rand); CHKERRQ(ierr); }
|
| 1831 |
eromero |
1188 |
if (cX + size_cX == V) {
|
|
|
1189 |
/* If cX and V are contiguous, orthogonalize in one step */
|
| 1989 |
eromero |
1190 |
ierr = IPOrthogonalize(ip, size_DS, DS, size_cX+i, PETSC_NULL, cX,
|
| 1831 |
eromero |
1191 |
V[i], auxS0, &norm, &lindep); CHKERRQ(ierr);
|
| 1989 |
eromero |
1192 |
} else if (DS) {
|
|
|
1193 |
/* Else orthogonalize first against DS, and then against cX and V */
|
|
|
1194 |
ierr = IPOrthogonalize(ip, size_DS, DS, size_cX, PETSC_NULL, cX,
|
| 1831 |
eromero |
1195 |
V[i], auxS0, PETSC_NULL, &lindep); CHKERRQ(ierr);
|
| 2177 |
jroman |
1196 |
if(!lindep) {
|
| 1831 |
eromero |
1197 |
ierr = IPOrthogonalize(ip, 0, PETSC_NULL, i, PETSC_NULL, V,
|
|
|
1198 |
V[i], auxS0, &norm, &lindep); CHKERRQ(ierr);
|
|
|
1199 |
}
|
| 1989 |
eromero |
1200 |
} else {
|
|
|
1201 |
/* Else orthogonalize first against cX and then against V */
|
|
|
1202 |
ierr = IPOrthogonalize(ip, size_cX, cX, i, PETSC_NULL, V,
|
|
|
1203 |
V[i], auxS0, &norm, &lindep); CHKERRQ(ierr);
|
| 1831 |
eromero |
1204 |
}
|
| 2177 |
jroman |
1205 |
if(!lindep && (norm > PETSC_MACHINE_EPSILON)) break;
|
| 2394 |
jroman |
1206 |
ierr = PetscInfo1(ip, "Orthonormalization problems adding the vector %D to the searching subspace\n", i);
|
| 2013 |
eromero |
1207 |
CHKERRQ(ierr);
|
| 1795 |
eromero |
1208 |
}
|
| 2177 |
jroman |
1209 |
if(lindep || (norm < PETSC_MACHINE_EPSILON)) {
|
| 2214 |
jroman |
1210 |
SETERRQ(((PetscObject)ip)->comm,1, "Error during orthonormalization of eigenvectors");
|
| 1795 |
eromero |
1211 |
}
|
|
|
1212 |
ierr = VecScale(V[i], 1.0/norm); CHKERRQ(ierr);
|
|
|
1213 |
}
|
| 1831 |
eromero |
1214 |
|
| 1795 |
eromero |
1215 |
PetscFunctionReturn(0);
|
|
|
1216 |
}
|
| 1831 |
eromero |
1217 |
|
| 1968 |
eromero |
1218 |
#undef __FUNCT__
|
|
|
1219 |
#define __FUNCT__ "dvd_compute_eigenvectors"
|
|
|
1220 |
/*
|
|
|
1221 |
Compute eigenvectors associated to the Schur decomposition (S, T) and
|
|
|
1222 |
save the left vectors in pY and the right vectors in pX, where
|
|
|
1223 |
n, size of the eigenproblem
|
|
|
1224 |
ldS, ldT, leading dimension of S and T
|
|
|
1225 |
ldpX, ldpY, leading dimension of pX and pY
|
|
|
1226 |
auxS, auxiliar scalar of length:
|
|
|
1227 |
double standard 3n+n*n, double generalized 11n+4n*n,
|
| 2022 |
eromero |
1228 |
complex standard 3n+n*n, complex generalized 3n+2n*n
|
| 1968 |
eromero |
1229 |
size_auxS, the length of auxS
|
|
|
1230 |
doProd, if true pX and pY return the eigenvectors premultiplied by the input vectors stored in pX and pY respectively
|
|
|
1231 |
*/
|
|
|
1232 |
PetscErrorCode dvd_compute_eigenvectors(PetscInt n_, PetscScalar *S,
|
|
|
1233 |
PetscInt ldS, PetscScalar *T, PetscInt ldT, PetscScalar *pX,
|
|
|
1234 |
PetscInt ldpX_, PetscScalar *pY, PetscInt ldpY_, PetscScalar *auxS,
|
| 2216 |
jroman |
1235 |
PetscInt size_auxS, PetscBool doProd)
|
| 1968 |
eromero |
1236 |
{
|
| 2392 |
jroman |
1237 |
#if defined(SLEPC_MISSING_LAPACK_GGEV)
|
|
|
1238 |
PetscFunctionBegin;
|
|
|
1239 |
SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"GGEV - Lapack routine is unavailable.");
|
|
|
1240 |
#else
|
| 1968 |
eromero |
1241 |
PetscErrorCode ierr;
|
| 2152 |
eromero |
1242 |
PetscBLASInt n, ldpX, ldpY, nout, info;
|
| 1968 |
eromero |
1243 |
PetscScalar *Sc, *Tc;
|
|
|
1244 |
const char *side, *howmny;
|
|
|
1245 |
#if defined(PETSC_USE_COMPLEX)
|
|
|
1246 |
PetscReal *auxR;
|
|
|
1247 |
#else
|
|
|
1248 |
PetscScalar *pA,*pB;
|
|
|
1249 |
PetscBLASInt n1, ldpA,ldpB;
|
|
|
1250 |
PetscScalar *alphar, *alphai, *beta;
|
|
|
1251 |
#endif
|
|
|
1252 |
|
|
|
1253 |
PetscFunctionBegin;
|
| 2117 |
eromero |
1254 |
n = PetscBLASIntCast(n_);
|
|
|
1255 |
ldpX = PetscBLASIntCast(ldpX_);
|
|
|
1256 |
ldpY = PetscBLASIntCast(ldpY_);
|
|
|
1257 |
|
| 1968 |
eromero |
1258 |
if (pX && pY) side = "B";
|
|
|
1259 |
else if (pX) side = "R";
|
|
|
1260 |
else if (pY) side = "L";
|
|
|
1261 |
else { PetscFunctionReturn(0); }
|
|
|
1262 |
|
|
|
1263 |
if (!pX) ldpX = 1;
|
|
|
1264 |
if (!pY) ldpY = 1;
|
|
|
1265 |
|
| 2177 |
jroman |
1266 |
howmny = doProd?"B":"A";
|
| 1968 |
eromero |
1267 |
|
|
|
1268 |
Sc = auxS; auxS+= n*n; size_auxS-= n*n;
|
|
|
1269 |
if (T) Tc = auxS, auxS+= n*n, size_auxS-= n*n;
|
|
|
1270 |
else Tc = PETSC_NULL;
|
|
|
1271 |
|
|
|
1272 |
/* Sc <- S, Tc <- T */
|
|
|
1273 |
ierr = SlepcDenseCopy(Sc, n, S, ldS, n, n); CHKERRQ(ierr);
|
|
|
1274 |
if (T) {
|
|
|
1275 |
ierr = SlepcDenseCopy(Tc, n, T, ldT, n, n); CHKERRQ(ierr);
|
|
|
1276 |
}
|
|
|
1277 |
|
|
|
1278 |
if (T) {
|
|
|
1279 |
/* [eigr, pX] = eig(S, T) */
|
|
|
1280 |
#if defined(PETSC_USE_COMPLEX)
|
|
|
1281 |
auxR = (PetscReal*)auxS; auxS = (PetscScalar*)(auxR+2*n); size_auxS-= 2*n;
|
|
|
1282 |
if (size_auxS < 2*n)
|
| 2214 |
jroman |
1283 |
SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"Insufficient work space for xTGEVC");
|
| 1968 |
eromero |
1284 |
LAPACKtgevc_(side,howmny,PETSC_NULL,&n,Sc,&n,Tc,&n,pY,&ldpY,pX,&ldpX,&n,&nout,auxS,auxR,&info);
|
| 2394 |
jroman |
1285 |
if (info) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in Lapack xTGEVC %d",info);
|
| 1968 |
eromero |
1286 |
#else
|
|
|
1287 |
alphar = auxS; auxS+= n; size_auxS-= n;
|
|
|
1288 |
alphai = auxS; auxS+= n; size_auxS-= n;
|
|
|
1289 |
beta = auxS; auxS+= n; size_auxS-= n;
|
| 2177 |
jroman |
1290 |
if (doProd) {
|
| 1968 |
eromero |
1291 |
if (pX) pA = auxS, auxS+= n*n, size_auxS-= n*n, ldpA = n;
|
|
|
1292 |
else pA = PETSC_NULL, ldpA = 0;
|
|
|
1293 |
if (pY) pB = auxS, auxS+= n*n, size_auxS-= n*n, ldpB = n;
|
|
|
1294 |
else pB = PETSC_NULL, ldpB = 0;
|
|
|
1295 |
} else {
|
|
|
1296 |
pA = pX; pB = pY; ldpA = ldpX; ldpB = ldpY;
|
|
|
1297 |
}
|
|
|
1298 |
/* LAPACKtgevc_ needs the element i,i+1 in the 2-by-2 digonal blocs
|
|
|
1299 |
of T that represent complex conjugate eigenpairs to be zero */
|
|
|
1300 |
n1 = size_auxS;
|
|
|
1301 |
if (size_auxS < 8*n)
|
| 2214 |
jroman |
1302 |
SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"Insufficient work space for xGGEV");
|
| 1968 |
eromero |
1303 |
LAPACKggev_(pY?"V":"N",pX?"V":"N",&n,Sc,&n,Tc,&n,alphar,alphai,beta,pB,&ldpB,pA,&ldpA,auxS,&n1,&info);
|
| 2394 |
jroman |
1304 |
if (info) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in Lapack xGGEV %d",info);
|
| 2177 |
jroman |
1305 |
if (doProd) {
|
| 1968 |
eromero |
1306 |
if (pX) {
|
|
|
1307 |
/* pX <- pX * pA */
|
|
|
1308 |
ierr = SlepcDenseCopy(Sc, n, pX, ldpX, n, n); CHKERRQ(ierr);
|
| 2022 |
eromero |
1309 |
ierr = SlepcDenseMatProd(pX, ldpX, 0.0, 1.0,
|
| 1968 |
eromero |
1310 |
Sc, n, n, n, PETSC_FALSE,
|
|
|
1311 |
pA, n, n, n, PETSC_FALSE); CHKERRQ(ierr);
|
|
|
1312 |
}
|
|
|
1313 |
if (pY) {
|
|
|
1314 |
/* pY <- pY * pB */
|
|
|
1315 |
ierr = SlepcDenseCopy(Sc, n, pY, ldpY, n, n); CHKERRQ(ierr);
|
| 2022 |
eromero |
1316 |
ierr = SlepcDenseMatProd(pY, ldpY, 0.0, 1.0,
|
| 1968 |
eromero |
1317 |
Sc, n, n, n, PETSC_FALSE,
|
|
|
1318 |
pB, n, n, n, PETSC_FALSE); CHKERRQ(ierr);
|
|
|
1319 |
}
|
|
|
1320 |
}
|
|
|
1321 |
#endif
|
|
|
1322 |
} else {
|
|
|
1323 |
/* [eigr, pX] = eig(S) */
|
|
|
1324 |
#if defined(PETSC_USE_COMPLEX)
|
|
|
1325 |
auxR = (PetscReal*)auxS; auxS = (PetscScalar*)(auxR+n); size_auxS-= n;
|
|
|
1326 |
if (size_auxS < 2*n)
|
| 2214 |
jroman |
1327 |
SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"Insufficient work space for xTREVC");
|
| 1968 |
eromero |
1328 |
LAPACKtrevc_(side,howmny,PETSC_NULL,&n,Sc,&n,pY,&ldpY,pX,&ldpX,&n,&nout,auxS,auxR,&info);
|
|
|
1329 |
#else
|
|
|
1330 |
LAPACKtrevc_(side,howmny,PETSC_NULL,&n,Sc,&n,pY,&ldpY,pX,&ldpX,&n,&nout,auxS,&info);
|
|
|
1331 |
#endif
|
| 2394 |
jroman |
1332 |
if (info) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in Lapack xTREVC %d",info);
|
| 1968 |
eromero |
1333 |
}
|
|
|
1334 |
PetscFunctionReturn(0);
|
| 2392 |
jroman |
1335 |
#endif
|
| 1968 |
eromero |
1336 |
}
|
| 2034 |
eromero |
1337 |
|
|
|
1338 |
#undef __FUNCT__
|
|
|
1339 |
#define __FUNCT__ "dvd_compute_eigenvalues"
|
|
|
1340 |
/*
|
|
|
1341 |
Compute the eigenvalues eigr+eigi*i associated to the Schur decomposition
|
|
|
1342 |
(S, T), where
|
|
|
1343 |
n, size of the eigenproblem
|
|
|
1344 |
ldS, ldT, leading dimension of S and T
|
|
|
1345 |
*/
|
|
|
1346 |
PetscErrorCode dvd_compute_eigenvalues(PetscInt n, PetscScalar *S,
|
|
|
1347 |
PetscInt ldS, PetscScalar *T, PetscInt ldT, PetscScalar *eigr,
|
|
|
1348 |
PetscScalar *eigi)
|
|
|
1349 |
{
|
| 2392 |
jroman |
1350 |
#if defined(SLEPC_MISSING_LAPACK_GGEV)
|
|
|
1351 |
PetscFunctionBegin;
|
|
|
1352 |
SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"GGEV - Lapack routine is unavailable.");
|
|
|
1353 |
#else
|
| 2034 |
eromero |
1354 |
PetscInt i;
|
|
|
1355 |
#if !defined(PETSC_USE_COMPLEX)
|
|
|
1356 |
PetscErrorCode ierr;
|
|
|
1357 |
PetscScalar Sc[4], Tc[4], beta[2], auxS[16];
|
|
|
1358 |
PetscBLASInt two=2, info, size_auxS=16;
|
|
|
1359 |
#endif
|
|
|
1360 |
|
|
|
1361 |
PetscFunctionBegin;
|
|
|
1362 |
for (i=0; i<n; i++) {
|
|
|
1363 |
#if !defined(PETSC_USE_COMPLEX)
|
|
|
1364 |
if (i<n-1 && S[i*ldS+i+1] != 0.0) {
|
|
|
1365 |
ierr = SlepcDenseCopy(Sc, 2, &S[i*ldS+i], ldS, 2, 2); CHKERRQ(ierr);
|
|
|
1366 |
ierr = SlepcDenseCopy(Tc, 2, &T[i*ldT+i], ldT, 2, 2); CHKERRQ(ierr);
|
|
|
1367 |
LAPACKggev_("N","N",&two,Sc,&two,Tc,&two,&eigr[i],&eigi[i],beta,
|
|
|
1368 |
PETSC_NULL, &two,PETSC_NULL,&two,auxS,&size_auxS,&info);
|
| 2394 |
jroman |
1369 |
if (info) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in Lapack xGGEV %d",info);
|
| 2034 |
eromero |
1370 |
eigr[i] /= beta[0]; eigi[i] /= beta[0];
|
|
|
1371 |
eigr[i+1]/= beta[1]; eigi[i+1]/= beta[1];
|
|
|
1372 |
i++;
|
|
|
1373 |
} else
|
|
|
1374 |
#endif
|
|
|
1375 |
{
|
|
|
1376 |
if (T[i*ldT+i] == 0.0) {
|
| 2279 |
jroman |
1377 |
if (PetscRealPart(S[i*ldS+i]) < 0.0) eigr[i] = PETSC_MIN_REAL;
|
| 2280 |
jroman |
1378 |
else eigr[i] = PETSC_MAX_REAL;
|
| 2034 |
eromero |
1379 |
} else eigr[i] = S[i*ldS+i] / T[i*ldT+i];
|
|
|
1380 |
if (eigi) eigi[i] = 0.0;
|
|
|
1381 |
}
|
|
|
1382 |
}
|
|
|
1383 |
PetscFunctionReturn(0);
|
| 2392 |
jroman |
1384 |
#endif
|
| 2034 |
eromero |
1385 |
}
|