/* BV private kernels that use the BLAS. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - SLEPc - Scalable Library for Eigenvalue Problem Computations Copyright (c) 2002-2016, Universitat Politecnica de Valencia, Spain This file is part of SLEPc. SLEPc is free software: you can redistribute it and/or modify it under the terms of version 3 of the GNU Lesser General Public License as published by the Free Software Foundation. SLEPc is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with SLEPc. If not, see . - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ #include #include #define BLOCKSIZE 64 #undef __FUNCT__ #define __FUNCT__ "BVMult_BLAS_Private" /* C := alpha*A*B + beta*C A is mxk (ld=m), B is kxn (ld=ldb), C is mxn (ld=m) */ PetscErrorCode BVMult_BLAS_Private(BV bv,PetscInt m_,PetscInt n_,PetscInt k_,PetscInt ldb_,PetscScalar alpha,const PetscScalar *A,const PetscScalar *B,PetscScalar beta,PetscScalar *C) { PetscErrorCode ierr; PetscBLASInt m,n,k,ldb; #if defined(PETSC_HAVE_FBLASLAPACK) || defined(PETSC_HAVE_F2CBLASLAPACK) PetscBLASInt l,bs=BLOCKSIZE; #endif PetscFunctionBegin; ierr = PetscBLASIntCast(m_,&m);CHKERRQ(ierr); ierr = PetscBLASIntCast(n_,&n);CHKERRQ(ierr); ierr = PetscBLASIntCast(k_,&k);CHKERRQ(ierr); ierr = PetscBLASIntCast(ldb_,&ldb);CHKERRQ(ierr); #if defined(PETSC_HAVE_FBLASLAPACK) || defined(PETSC_HAVE_F2CBLASLAPACK) l = m % bs; if (l) PetscStackCallBLAS("BLASgemm",BLASgemm_("N","N",&l,&n,&k,&alpha,(PetscScalar*)A,&m,(PetscScalar*)B,&ldb,&beta,C,&m)); for (;lwork,&l)); for (j=0;jwork+j*l,l*sizeof(PetscScalar));CHKERRQ(ierr); } } for (;lwork,&bs)); for (j=0;jwork+j*bs,bs*sizeof(PetscScalar));CHKERRQ(ierr); } } ierr = PetscLogFlops(2.0*m*n*k);CHKERRQ(ierr); PetscFunctionReturn(0); } #undef __FUNCT__ #define __FUNCT__ "BVMultInPlace_Vecs_Private" /* V := V*B V is mxn (ld=m), B is nxn (ld=k) */ PetscErrorCode BVMultInPlace_Vecs_Private(BV bv,PetscInt m_,PetscInt n_,PetscInt k_,Vec *V,const PetscScalar *B,PetscBool btrans) { PetscErrorCode ierr; PetscScalar zero=0.0,one=1.0,*out,*pout; const PetscScalar *pin; PetscBLASInt m,n,k,l,bs=BLOCKSIZE; PetscInt j; const char *bt; PetscFunctionBegin; ierr = PetscBLASIntCast(m_,&m);CHKERRQ(ierr); ierr = PetscBLASIntCast(n_,&n);CHKERRQ(ierr); ierr = PetscBLASIntCast(k_,&k);CHKERRQ(ierr); ierr = BVAllocateWork_Private(bv,2*BLOCKSIZE*n_);CHKERRQ(ierr); out = bv->work+BLOCKSIZE*n_; if (btrans) bt = "C"; else bt = "N"; l = m % bs; if (l) { for (j=0;jwork+j*l,pin,l*sizeof(PetscScalar));CHKERRQ(ierr); ierr = VecRestoreArrayRead(V[j],&pin);CHKERRQ(ierr); } PetscStackCallBLAS("BLASgemm",BLASgemm_("N",bt,&l,&n,&n,&one,bv->work,&l,(PetscScalar*)B,&k,&zero,out,&l)); for (j=0;jwork+j*bs,pin+l,bs*sizeof(PetscScalar));CHKERRQ(ierr); ierr = VecRestoreArrayRead(V[j],&pin);CHKERRQ(ierr); } PetscStackCallBLAS("BLASgemm",BLASgemm_("N",bt,&bs,&n,&n,&one,bv->work,&bs,(PetscScalar*)B,&k,&zero,out,&bs)); for (j=0;jwork,&ldc)); else { ierr = PetscMemzero(bv->work,m*n*sizeof(PetscScalar));CHKERRQ(ierr); } ierr = PetscMPIIntCast(m*n,&len);CHKERRQ(ierr); ierr = MPI_Allreduce(bv->work,C,len,MPIU_SCALAR,MPIU_SUM,PetscObjectComm((PetscObject)bv));CHKERRQ(ierr); } else { ierr = BVAllocateWork_Private(bv,2*m*n);CHKERRQ(ierr); CC = bv->work+m*n; if (k) PetscStackCallBLAS("BLASgemm",BLASgemm_("C","N",&m,&n,&k,&one,(PetscScalar*)A,&k,(PetscScalar*)B,&k,&zero,bv->work,&m)); else { ierr = PetscMemzero(bv->work,m*n*sizeof(PetscScalar));CHKERRQ(ierr); } ierr = PetscMPIIntCast(m*n,&len);CHKERRQ(ierr); ierr = MPI_Allreduce(bv->work,CC,len,MPIU_SCALAR,MPIU_SUM,PetscObjectComm((PetscObject)bv));CHKERRQ(ierr); for (j=0;jwork,&one)); } else { ierr = PetscMemzero(bv->work,k*sizeof(PetscScalar));CHKERRQ(ierr); } ierr = PetscMPIIntCast(k,&len);CHKERRQ(ierr); ierr = MPI_Allreduce(bv->work,y,len,MPIU_SCALAR,MPIU_SUM,PetscObjectComm((PetscObject)bv));CHKERRQ(ierr); } else { if (n) PetscStackCallBLAS("BLASgemv",BLASgemv_("C",&n,&k,&done,A,&n,x,&one,&zero,y,&one)); } ierr = PetscLogFlops(2.0*n*k);CHKERRQ(ierr); PetscFunctionReturn(0); } #undef __FUNCT__ #define __FUNCT__ "BVScale_BLAS_Private" /* Scale n scalars */ PetscErrorCode BVScale_BLAS_Private(BV bv,PetscInt n_,PetscScalar *A,PetscScalar alpha) { PetscErrorCode ierr; PetscBLASInt n,one=1; PetscFunctionBegin; if (alpha == (PetscScalar)0.0) { ierr = PetscMemzero(A,n_*sizeof(PetscScalar));CHKERRQ(ierr); } else if (alpha!=(PetscScalar)1.0) { ierr = PetscBLASIntCast(n_,&n);CHKERRQ(ierr); PetscStackCallBLAS("BLASscal",BLASscal_(&n,&alpha,A,&one)); ierr = PetscLogFlops(n);CHKERRQ(ierr); } PetscFunctionReturn(0); } #undef __FUNCT__ #define __FUNCT__ "BVNorm_LAPACK_Private" /* Compute ||A|| for an mxn matrix */ PetscErrorCode BVNorm_LAPACK_Private(BV bv,PetscInt m_,PetscInt n_,const PetscScalar *A,NormType type,PetscReal *nrm,PetscBool mpi) { PetscErrorCode ierr; PetscBLASInt m,n,i,j; PetscMPIInt len; PetscReal lnrm,*rwork=NULL,*rwork2=NULL; PetscFunctionBegin; ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); ierr = PetscBLASIntCast(m_,&m);CHKERRQ(ierr); ierr = PetscBLASIntCast(n_,&n);CHKERRQ(ierr); if (type==NORM_FROBENIUS || type==NORM_2) { lnrm = LAPACKlange_("F",&m,&n,(PetscScalar*)A,&m,rwork); if (mpi) { lnrm = lnrm*lnrm; ierr = MPI_Allreduce(&lnrm,nrm,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)bv));CHKERRQ(ierr); *nrm = PetscSqrtReal(*nrm); } else *nrm = lnrm; ierr = PetscLogFlops(2.0*m*n);CHKERRQ(ierr); } else if (type==NORM_1) { if (mpi) { ierr = BVAllocateWork_Private(bv,2*n_);CHKERRQ(ierr); rwork = (PetscReal*)bv->work; rwork2 = rwork+n_; ierr = PetscMemzero(rwork,n_*sizeof(PetscReal));CHKERRQ(ierr); ierr = PetscMemzero(rwork2,n_*sizeof(PetscReal));CHKERRQ(ierr); for (j=0;j *nrm) *nrm = rwork2[j]; } else { *nrm = LAPACKlange_("O",&m,&n,(PetscScalar*)A,&m,rwork); } ierr = PetscLogFlops(1.0*m*n);CHKERRQ(ierr); } else if (type==NORM_INFINITY) { ierr = BVAllocateWork_Private(bv,m_);CHKERRQ(ierr); rwork = (PetscReal*)bv->work; lnrm = LAPACKlange_("I",&m,&n,(PetscScalar*)A,&m,rwork); if (mpi) { ierr = MPI_Allreduce(&lnrm,nrm,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)bv));CHKERRQ(ierr); } else *nrm = lnrm; ierr = PetscLogFlops(1.0*m*n);CHKERRQ(ierr); } ierr = PetscFPTrapPop();CHKERRQ(ierr); PetscFunctionReturn(0); } #undef __FUNCT__ #define __FUNCT__ "BVOrthogonalize_LAPACK_Private" /* QR factorization of an mxn matrix */ PetscErrorCode BVOrthogonalize_LAPACK_Private(BV bv,PetscInt m_,PetscInt n_,PetscScalar *Q,PetscScalar *R,PetscBool mpi) { #if defined(PETSC_MISSING_LAPACK_GEQRF) || defined(PETSC_MISSING_LAPACK_ORGQR) PetscFunctionBegin; SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"GEQRF/ORGQR - Lapack routines are unavailable"); #else PetscErrorCode ierr; PetscBLASInt m,n,i,j,k,l,nb,lwork,info; PetscScalar *tau,*work,*Rl=NULL,*A=NULL,*C=NULL,one=1.0,zero=0.0; PetscMPIInt rank,size,len; PetscFunctionBegin; ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); ierr = PetscBLASIntCast(m_,&m);CHKERRQ(ierr); ierr = PetscBLASIntCast(n_,&n);CHKERRQ(ierr); k = PetscMin(m,n); nb = 16; if (mpi) { ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)bv),&rank);CHKERRQ(ierr); ierr = MPI_Comm_size(PetscObjectComm((PetscObject)bv),&size);CHKERRQ(ierr); ierr = BVAllocateWork_Private(bv,k+n*nb+n*n+n*n*size+m*n);CHKERRQ(ierr); } else { ierr = BVAllocateWork_Private(bv,k+n*nb);CHKERRQ(ierr); } tau = bv->work; work = bv->work+k; ierr = PetscBLASIntCast(n*nb,&lwork);CHKERRQ(ierr); if (mpi) { Rl = bv->work+k+n*nb; A = bv->work+k+n*nb+n*n; C = bv->work+k+n*nb+n*n+n*n*size; } /* Compute QR */ PetscStackCallBLAS("LAPACKgeqrf",LAPACKgeqrf_(&m,&n,Q,&m,tau,work,&lwork,&info)); if (info) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in Lapack xGEQRF %d",info); /* Extract R */ if (R || mpi) { ierr = PetscMemzero(mpi? Rl: R,n*n*sizeof(PetscScalar));CHKERRQ(ierr); for (j=0;j