DenseLinAlgPack_DVectorOpBLAS.cpp

// @HEADER
// ***********************************************************************
// 
// Moocho: Multi-functional Object-Oriented arCHitecture for Optimization
//                  Copyright (2003) Sandia Corporation
// 
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
// 
// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 2.1 of the
// License, or (at your option) any later version.
//  
// This library 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 this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
// USA
// Questions? Contact Roscoe A. Bartlett (rabartl@sandia.gov) 
// 
// ***********************************************************************
// @HEADER

#include <algorithm>
#include <functional>
#include <math.h> // VC++ 5.0 <cmath> is not CD2 complient yet
  // ToDo: Update math function calls to cmath once you get a compiler that meets the standard.

#include "DenseLinAlgPack_DVectorClass.hpp"
#include "DenseLinAlgPack_DVectorOp.hpp"
#include "DenseLinAlgPack_BLAS_Cpp.hpp"
#include "DenseLinAlgPack_AssertOp.hpp"

namespace {

using DenseLinAlgPack::DVector;
using DenseLinAlgPack::DVectorSlice;
typedef DenseLinAlgPack::value_type value_type;
typedef DVectorSlice::size_type size_type;
typedef DVectorSlice::difference_type difference_type;

//
template< class T >
inline
T my_max( const T& v1, const T& v2 ) { return v1 > v2 ? v1 : v2; }
//
template< class T >
inline
T my_min( const T& v1, const T& v2 ) { return v1 < v2 ? v1 : v2; }

// Utility for copying vector slices.  Takes care of aliasing etc. but not sizes.
void i_assign(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  switch(vs_lhs->overlap(vs_rhs)) {
    case DenseLinAlgPack::SAME_MEM: return; // assignment to self so skip the copy
    case DenseLinAlgPack::SOME_OVERLAP:   // create a temp for the copy
    {
      DVector temp(vs_rhs);
      BLAS_Cpp::copy( temp.dim(), temp.raw_ptr(), 1, vs_lhs->raw_ptr(), vs_lhs->stride() );
      return;
    }
    default:        // no overlap so just perform the copy
    {
      BLAS_Cpp::copy( vs_rhs.dim(),vs_rhs.raw_ptr(), vs_rhs.stride()
        , vs_lhs->raw_ptr(), vs_lhs->stride() );
      return;
    }
  }
}

inline value_type local_prod( const value_type &v1, const value_type &v2 ) { return v1*v2; }

} // end namespace

// ///////////////////////
// op= operations

void DenseLinAlgPack::Vp_S(DVectorSlice* vs_lhs, value_type alpha) {
  if(vs_lhs->stride() == 1) {
    DVectorSlice::value_type
      *itr    = vs_lhs->start_ptr(),
      *itr_end  = itr + vs_lhs->dim();
    while(itr != itr_end)
      *itr++ += alpha;
  }
  else {
    DVectorSlice::iterator
      itr   = vs_lhs->begin(),
      itr_end = vs_lhs->end();
    while(itr != itr_end)
      *itr++ += alpha;
  }
}

void DenseLinAlgPack::Vt_S(DVectorSlice* vs_lhs, value_type alpha) {
  if( alpha == 1.0 )
    return;
  else if( alpha == 0.0 )
    *vs_lhs = 0.0;
  else
    BLAS_Cpp::scal( vs_lhs->dim(), alpha, vs_lhs->raw_ptr(), vs_lhs->stride() );
}

void DenseLinAlgPack::Vp_StV(DVectorSlice* vs_lhs, value_type alpha, const DVectorSlice& vs_rhs) {
  Vp_V_assert_sizes(vs_lhs->dim(), vs_rhs.dim());
  BLAS_Cpp::axpy( vs_lhs->dim(), alpha, vs_rhs.raw_ptr(), vs_rhs.stride()
    , vs_lhs->raw_ptr(), vs_lhs->stride());
}

// DVectorSlice as lhs

void DenseLinAlgPack::assign(DVectorSlice* vs_lhs, value_type alpha) {
  if(!vs_lhs->dim())
    throw std::length_error("DenseLinAlgPack::assign(vs_lhs,alpha): DVectorSlice must be bound and sized.");
  BLAS_Cpp::copy( vs_lhs->dim(), &alpha, 0, vs_lhs->raw_ptr(), vs_lhs->stride() );
}
void DenseLinAlgPack::assign(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  Vp_V_assert_sizes( vs_lhs->dim(), vs_rhs.dim() );
  i_assign(vs_lhs,vs_rhs);
}
void DenseLinAlgPack::V_VpV(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2) {
  VopV_assert_sizes( vs_rhs1.dim(), vs_rhs2.dim() );
  Vp_V_assert_sizes( vs_lhs->dim(), vs_rhs1.dim() );
  std::transform(vs_rhs1.begin(),vs_rhs1.end(),vs_rhs2.begin(),vs_lhs->begin(),std::plus<value_type>());
}
void DenseLinAlgPack::V_VmV(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2) {
  VopV_assert_sizes( vs_rhs1.dim(), vs_rhs2.dim() );
  Vp_V_assert_sizes( vs_lhs->dim(), vs_rhs1.dim() );
  std::transform(vs_rhs1.begin(),vs_rhs1.end(),vs_rhs2.begin(),vs_lhs->begin(),std::minus<value_type>());
}
void DenseLinAlgPack::V_mV(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  Vp_V_assert_sizes( vs_lhs->dim(), vs_rhs.dim() );
  (*vs_lhs) = vs_rhs;
  BLAS_Cpp::scal( vs_lhs->dim(), -1.0, vs_lhs->raw_ptr(), vs_lhs->stride() );
}
void DenseLinAlgPack::V_StV(DVectorSlice* vs_lhs, value_type alpha, const DVectorSlice& vs_rhs)
{
  Vp_V_assert_sizes( vs_lhs->dim(), vs_rhs.dim() );
  (*vs_lhs) = vs_rhs;
  BLAS_Cpp::scal( vs_lhs->dim(), alpha, vs_lhs->raw_ptr(), vs_lhs->stride() );
}

// Elementwise math vector functions. VC++ 5.0 is not allowing use of ptr_fun() with overloaded
// functions so I have to perform the loops straight out.
// ToDo: use ptr_fun() when you get a compiler that works this out.  For now I will just use macros.
#define UNARYOP_VECSLC(LHS, RHS, FUNC)                                    \
  DenseLinAlgPack::Vp_V_assert_sizes( (LHS)->dim(), (RHS).dim() );                      \
  DVectorSlice::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs;                   \
  for(itr_lhs = LHS->begin(), itr_rhs = RHS.begin(); itr_lhs != LHS->end(); ++itr_lhs, ++itr_rhs)     \
  { *itr_lhs = FUNC(*itr_rhs); }


#define BINARYOP_VECSLC(LHS, RHS1, RHS2, FUNC)                                \
  DenseLinAlgPack::VopV_assert_sizes( (RHS1).dim(), (RHS2).dim() );                     \
  DenseLinAlgPack::Vp_V_assert_sizes( (LHS)->dim(), (RHS1).dim() );                     \
  DVectorSlice::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs1, itr_rhs2;              \
  for(itr_lhs = LHS->begin(), itr_rhs1 = RHS1.begin(), itr_rhs2 = RHS2.begin();             \
    itr_lhs != LHS->end(); ++itr_lhs, ++itr_rhs1, ++itr_rhs2)                     \
  { *itr_lhs = FUNC(*itr_rhs1, *itr_rhs2); }

#define BINARYOP_BIND1ST_VECSLC(LHS, RHS1, RHS2, FUNC)                            \
  DenseLinAlgPack::Vp_V_assert_sizes( (LHS)->dim(), (RHS2).dim() );                     \
  DVectorSlice::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs2;                  \
  for(itr_lhs = LHS->begin(), itr_rhs2 = RHS2.begin();                          \
    itr_lhs != LHS->end(); ++itr_lhs, ++itr_rhs2)                           \
  { *itr_lhs = FUNC(RHS1, *itr_rhs2); }

#define BINARYOP_BIND2ND_VECSLC(LHS, RHS1, RHS2, FUNC)                            \
  DenseLinAlgPack::Vp_V_assert_sizes( (LHS)->dim(), (RHS1).dim());                      \
  DVectorSlice::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs1;                  \
  for(itr_lhs = LHS->begin(), itr_rhs1 = RHS1.begin();                          \
    itr_lhs != LHS->end(); ++itr_lhs, ++itr_rhs1)                           \
  { *itr_lhs = FUNC(*itr_rhs1, RHS2); }

void DenseLinAlgPack::abs(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::fabs)
}
void DenseLinAlgPack::asin(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::asin)
}
void DenseLinAlgPack::acos(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::acos)
}
void DenseLinAlgPack::atan(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::atan)
}
void DenseLinAlgPack::atan2(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2) {
  BINARYOP_VECSLC(vs_lhs, vs_rhs1, vs_rhs2, ::atan2)
}
void DenseLinAlgPack::atan2(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs, value_type alpha) {
  BINARYOP_BIND2ND_VECSLC(vs_lhs, vs_rhs, alpha, ::atan2)
}
void DenseLinAlgPack::atan2(DVectorSlice* vs_lhs, value_type alpha, const DVectorSlice& vs_rhs)
{
  BINARYOP_BIND1ST_VECSLC(vs_lhs, alpha, vs_rhs, ::atan2)
}
void DenseLinAlgPack::cos(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::cos)
}
void DenseLinAlgPack::cosh(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::cosh)
}
void DenseLinAlgPack::exp(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::exp)
}
void DenseLinAlgPack::max(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2) {
  DenseLinAlgPack::VopV_assert_sizes( vs_rhs1.dim(), vs_rhs2.dim() );
  DenseLinAlgPack::Vp_V_assert_sizes( vs_lhs->dim(), vs_rhs1.dim() );
  DVectorSlice::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs1, itr_rhs2;
  for(itr_lhs = vs_lhs->begin(), itr_rhs1 = vs_rhs1.begin(), itr_rhs2 = vs_rhs2.begin();
    itr_lhs != vs_lhs->end(); ++itr_lhs, ++itr_rhs1, ++itr_rhs2)
  { *itr_lhs = my_max(*itr_rhs1, *itr_rhs2); }
}
void DenseLinAlgPack::max(DVectorSlice* vs_lhs, value_type alpha, const DVectorSlice& vs_rhs) {
  DenseLinAlgPack::Vp_V_assert_sizes( vs_lhs->dim(), vs_rhs.dim() );
  DVectorSlice::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs;
  for(itr_lhs = vs_lhs->begin(), itr_rhs = vs_rhs.begin(); itr_lhs != vs_lhs->end(); ++itr_lhs, ++itr_rhs)
  { *itr_lhs = my_max(alpha,*itr_rhs); }
}
void DenseLinAlgPack::min(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2) {
  DenseLinAlgPack::VopV_assert_sizes( vs_rhs1.dim(), vs_rhs2.dim() );
  DenseLinAlgPack::Vp_V_assert_sizes( vs_lhs->dim(), vs_rhs1.dim() );
  DVectorSlice::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs1, itr_rhs2;
  for(itr_lhs = vs_lhs->begin(), itr_rhs1 = vs_rhs1.begin(), itr_rhs2 = vs_rhs2.begin();
    itr_lhs != vs_lhs->end(); ++itr_lhs, ++itr_rhs1, ++itr_rhs2)
  { *itr_lhs = my_min(*itr_rhs1, *itr_rhs2); }
}
void DenseLinAlgPack::min(DVectorSlice* vs_lhs, value_type alpha, const DVectorSlice& vs_rhs) {
  DenseLinAlgPack::Vp_V_assert_sizes( vs_lhs->dim(), vs_rhs.dim() );
  DVectorSlice::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs;
  for(itr_lhs = vs_lhs->begin(), itr_rhs = vs_rhs.begin(); itr_lhs != vs_lhs->end(); ++itr_lhs, ++itr_rhs)
  { *itr_lhs = my_min(alpha,*itr_rhs); }
}
void DenseLinAlgPack::pow(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2) {
  BINARYOP_VECSLC(vs_lhs, vs_rhs1, vs_rhs2, ::pow)
}
void DenseLinAlgPack::pow(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs, value_type alpha) {
  BINARYOP_BIND2ND_VECSLC(vs_lhs, vs_rhs, alpha, ::pow)
}
void DenseLinAlgPack::pow(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs, int n) {
  BINARYOP_BIND2ND_VECSLC(vs_lhs, vs_rhs, (double)n, ::pow)
}
void DenseLinAlgPack::pow(DVectorSlice* vs_lhs, value_type alpha, const DVectorSlice& vs_rhs) {
  BINARYOP_BIND1ST_VECSLC(vs_lhs, alpha, vs_rhs, ::pow)
}
void DenseLinAlgPack::prod( DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2 ) {
  BINARYOP_VECSLC(vs_lhs, vs_rhs1, vs_rhs2, local_prod )
}
void DenseLinAlgPack::sqrt(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::sqrt)
}
void DenseLinAlgPack::sin(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::sin)
}
void DenseLinAlgPack::sinh(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::sinh)
}
void DenseLinAlgPack::tan(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::tan)
}
void DenseLinAlgPack::tanh(DVectorSlice* vs_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VECSLC(vs_lhs, vs_rhs, ::tanh)
}

// DVector as lhs

void DenseLinAlgPack::assign(DVector* v_lhs, value_type alpha)
{
  if(!v_lhs->dim())
    throw std::length_error("DenseLinAlgPack::assign(v_lhs,alpha): DVector must be sized.");
  else
    BLAS_Cpp::copy( v_lhs->dim(), &alpha, 0, v_lhs->raw_ptr(), v_lhs->stride() );
}
void DenseLinAlgPack::assign(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  v_lhs->resize(vs_rhs.dim());
  i_assign( &(*v_lhs)(), vs_rhs );
}
void DenseLinAlgPack::V_VpV(DVector* v_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2)
{
  assert_vs_sizes(vs_rhs1.dim(), vs_rhs2.dim());
  v_lhs->resize(vs_rhs1.dim());
  std::transform(vs_rhs1.begin(),vs_rhs1.end(),vs_rhs2.begin(),v_lhs->begin(),std::plus<value_type>());
//  DVectorSlice::const_iterator
//    v1 = vs_rhs1.begin(),
//    v2 = vs_rhs2.begin();
//  DVector::iterator
//    v = v_lhs->begin(),
//    v_end = v_lhs->end();
//  while( v != v_end )
//    *v++ = *v1++ + *v2++;
}
void DenseLinAlgPack::V_VmV(DVector* v_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2)
{
  assert_vs_sizes(vs_rhs1.dim(), vs_rhs2.dim());
  v_lhs->resize(vs_rhs1.dim());
  std::transform(vs_rhs1.begin(),vs_rhs1.end(),vs_rhs2.begin(),v_lhs->begin(),std::minus<value_type>());
}
void DenseLinAlgPack::V_mV(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  v_lhs->resize(vs_rhs.dim());
  (*v_lhs) = vs_rhs;
  BLAS_Cpp::scal(v_lhs->dim(), -1.0, v_lhs->raw_ptr(), 1);
}
void DenseLinAlgPack::V_StV(DVector* v_lhs, value_type alpha, const DVectorSlice& vs_rhs) {
  v_lhs->resize(vs_rhs.dim());
  (*v_lhs) = vs_rhs;
  BLAS_Cpp::scal( v_lhs->dim(), alpha, v_lhs->raw_ptr(), 1);
}

void DenseLinAlgPack::rot( const value_type c, const value_type s, DVectorSlice* x, DVectorSlice* y )
{
  assert_vs_sizes( x->dim(), y->dim() );
  BLAS_Cpp::rot( x->dim(), x->raw_ptr(), x->stride(), y->raw_ptr(), y->stride(), c, s );
}

// Elementwise math vector functions. VC++ 5.0 is not allowing use of ptr_fun() with overloaded
// functions so I have to perform the loops straight out.
// ToDo: use ptr_fun() when you get a compiler that works this out.  For now I will just use macros.
#define UNARYOP_VEC(LHS, RHS, FUNC)                                     \
  LHS->resize(RHS.dim());                                       \
  DVector::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs;                      \
  for(itr_lhs = LHS->begin(), itr_rhs = RHS.begin(); itr_lhs != LHS->end(); ++itr_lhs, ++itr_rhs)     \
  { *itr_lhs = FUNC(*itr_rhs); }

#define BINARYOP_VEC(LHS, RHS1, RHS2, FUNC)                                 \
  DenseLinAlgPack::assert_vs_sizes(RHS1.dim(), RHS2.dim()); LHS->resize(RHS1.dim());            \
  DVector::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs1, itr_rhs2;               \
  for(itr_lhs = LHS->begin(), itr_rhs1 = RHS1.begin(), itr_rhs2 = RHS2.begin();             \
    itr_lhs != LHS->end(); ++itr_lhs, ++itr_rhs1, ++itr_rhs2)                     \
  { *itr_lhs = FUNC(*itr_rhs1, *itr_rhs2); }

#define BINARYOP_BIND1ST_VEC(LHS, RHS1, RHS2, FUNC)                             \
  LHS->resize(RHS2.dim());                                        \
  DVector::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs2;                     \
  for(itr_lhs = LHS->begin(), itr_rhs2 = RHS2.begin();                          \
    itr_lhs != LHS->end(); ++itr_lhs, ++itr_rhs2)                           \
  { *itr_lhs = FUNC(RHS1, *itr_rhs2); }

#define BINARYOP_BIND2ND_VEC(LHS, RHS1, RHS2, FUNC)                             \
  LHS->resize(RHS1.dim());                                        \
  DVector::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs1;                     \
  for(itr_lhs = LHS->begin(), itr_rhs1 = RHS1.begin();                          \
    itr_lhs != LHS->end(); ++itr_lhs, ++itr_rhs1)                           \
  { *itr_lhs = FUNC(*itr_rhs1, RHS2); }

void DenseLinAlgPack::abs(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::fabs)
}
void DenseLinAlgPack::asin(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::asin)
}
void DenseLinAlgPack::acos(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::acos)
}
void DenseLinAlgPack::atan(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::atan)
}
void DenseLinAlgPack::atan2(DVector* v_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2)
{
  BINARYOP_VEC(v_lhs, vs_rhs1, vs_rhs2, ::atan2)
}
void DenseLinAlgPack::atan2(DVector* v_lhs, const DVectorSlice& vs_rhs, value_type alpha) {
  BINARYOP_BIND2ND_VEC(v_lhs, vs_rhs, alpha, ::atan2)
}
void DenseLinAlgPack::atan2(DVector* v_lhs, value_type alpha, const DVectorSlice& vs_rhs) {
  BINARYOP_BIND1ST_VEC(v_lhs, alpha, vs_rhs, ::atan2)
}
void DenseLinAlgPack::cos(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::cos)
}
void DenseLinAlgPack::cosh(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::cosh)
}
void DenseLinAlgPack::exp(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::exp)
}
void DenseLinAlgPack::max(DVector* v_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2)
{
  DenseLinAlgPack::assert_vs_sizes(vs_rhs1.dim(), vs_rhs2.dim()); v_lhs->resize(vs_rhs1.dim());
  DVector::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs1, itr_rhs2;
  for(itr_lhs = v_lhs->begin(), itr_rhs1 = vs_rhs1.begin(), itr_rhs2 = vs_rhs2.begin();
    itr_lhs != v_lhs->end(); ++itr_lhs, ++itr_rhs1, ++itr_rhs2)
  { *itr_lhs = my_max(*itr_rhs1, *itr_rhs2); }
}
void DenseLinAlgPack::max(DVector* v_lhs, value_type alpha, const DVectorSlice& vs_rhs) {
  v_lhs->resize(vs_rhs.dim());
  DVector::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs;
  for(itr_lhs = v_lhs->begin(), itr_rhs = vs_rhs.begin(); itr_lhs != v_lhs->end(); ++itr_lhs, ++itr_rhs)
  { *itr_lhs = my_max(alpha,*itr_rhs); }
}
void DenseLinAlgPack::min(DVector* v_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2) 
{
  DenseLinAlgPack::assert_vs_sizes(vs_rhs1.dim(), vs_rhs2.dim()); v_lhs->resize(vs_rhs1.dim());
  DVector::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs1, itr_rhs2;
  for(itr_lhs = v_lhs->begin(), itr_rhs1 = vs_rhs1.begin(), itr_rhs2 = vs_rhs2.begin();
    itr_lhs != v_lhs->end(); ++itr_lhs, ++itr_rhs1, ++itr_rhs2)
  { *itr_lhs = my_min(*itr_rhs1, *itr_rhs2); }
}
void DenseLinAlgPack::min(DVector* v_lhs, value_type alpha, const DVectorSlice& vs_rhs) {
  v_lhs->resize(vs_rhs.dim());
  DVector::iterator itr_lhs; DVectorSlice::const_iterator itr_rhs;
  for(itr_lhs = v_lhs->begin(), itr_rhs = vs_rhs.begin(); itr_lhs != v_lhs->end(); ++itr_lhs, ++itr_rhs)
  { *itr_lhs = my_min(alpha,*itr_rhs); }
}
void DenseLinAlgPack::pow(DVector* v_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2) {
  BINARYOP_VEC(v_lhs, vs_rhs1, vs_rhs2, ::pow)
}
void DenseLinAlgPack::pow(DVector* v_lhs, const DVectorSlice& vs_rhs, value_type alpha) {
  BINARYOP_BIND2ND_VEC(v_lhs, vs_rhs, alpha, ::pow)
}
void DenseLinAlgPack::pow(DVector* v_lhs, const DVectorSlice& vs_rhs, int n) {
  BINARYOP_BIND2ND_VEC(v_lhs, vs_rhs, (double)n, ::pow)
}
void DenseLinAlgPack::pow(DVector* v_lhs, value_type alpha, const DVectorSlice& vs_rhs) {
  BINARYOP_BIND1ST_VEC(v_lhs, alpha, vs_rhs, ::pow)
}
void DenseLinAlgPack::prod( DVector* v_lhs, const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2 ) {
  BINARYOP_VEC(v_lhs, vs_rhs1, vs_rhs2, local_prod )
}
void DenseLinAlgPack::sqrt(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::sqrt)
}
void DenseLinAlgPack::sin(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::sin)
}
void DenseLinAlgPack::sinh(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::sinh)
}
void DenseLinAlgPack::tan(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::tan)
}
void DenseLinAlgPack::tanh(DVector* v_lhs, const DVectorSlice& vs_rhs) {
  UNARYOP_VEC(v_lhs, vs_rhs, ::tanh)
}

// //////////////////////////////
// Scalar returning functions

DenseLinAlgPack::value_type DenseLinAlgPack::dot(const DVectorSlice& vs_rhs1, const DVectorSlice& vs_rhs2)
{
  VopV_assert_sizes( vs_rhs1.dim(), vs_rhs2.dim() );
  return BLAS_Cpp::dot( vs_rhs1.dim(), vs_rhs1.raw_ptr(), vs_rhs1.stride()
    , vs_rhs2.raw_ptr(), vs_rhs2.stride() );
}
DenseLinAlgPack::value_type DenseLinAlgPack::max(const DVectorSlice& vs_rhs)
{ return *std::max_element(vs_rhs.begin(),vs_rhs.end()); }
DenseLinAlgPack::value_type DenseLinAlgPack::min(const DVectorSlice& vs_rhs)
{ return *std::min_element(vs_rhs.begin(),vs_rhs.end()); }
DenseLinAlgPack::value_type DenseLinAlgPack::norm_1(const DVectorSlice& vs_rhs)
{ return BLAS_Cpp::asum( vs_rhs.dim(), vs_rhs.raw_ptr(), vs_rhs.stride() ); }
DenseLinAlgPack::value_type DenseLinAlgPack::norm_2(const DVectorSlice& vs_rhs) 
{ return BLAS_Cpp::nrm2( vs_rhs.dim(), vs_rhs.raw_ptr(), vs_rhs.stride() ); }
DenseLinAlgPack::value_type DenseLinAlgPack::norm_inf(const DVectorSlice& vs_rhs) {
//  return BLAS_Cpp::iamax( vs_rhs.dim(), vs_rhs.raw_ptr(), vs_rhs.stride() );
//  For some reason iamax() is not working properly?
  value_type max_ele = 0.0;
  for(DVectorSlice::const_iterator itr = vs_rhs.begin(); itr != vs_rhs.end(); ) {
    value_type ele = ::fabs(*itr++);
    if(ele > max_ele) max_ele = ele;
  }
  return max_ele;
}

// /////////////////////
// Misc operations

void DenseLinAlgPack::swap( DVectorSlice* vs1, DVectorSlice* vs2 ) {
  if( vs1->overlap(*vs2) == SAME_MEM ) return;
  VopV_assert_sizes( vs1->dim(), vs2->dim() );
  BLAS_Cpp::swap( vs1->dim(), vs1->raw_ptr(), vs1->stride(), vs2->raw_ptr(), vs2->stride() );
}