CRowVector.cc

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// RowVector manipulations.
/*

Copyright (C) 1994-2015 John W. Eaton

This file is part of Octave.

Octave is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by the
Free Software Foundation; either version 3 of the License, or (at your
option) any later version.

Octave 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 General Public License
for more details.

You should have received a copy of the GNU General Public License
along with Octave; see the file COPYING.  If not, see
<http://www.gnu.org/licenses/>.

*/

#ifdef HAVE_CONFIG_H
#include <config.h>
#endif

#include <iostream>

#include "Array-util.h"
#include "f77-fcn.h"
#include "functor.h"
#include "lo-error.h"
#include "mx-base.h"
#include "mx-inlines.cc"
#include "oct-cmplx.h"

// Fortran functions we call.

extern "C"
{
  F77_RET_T
  F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL,
                           const octave_idx_type&, const octave_idx_type&,
                           const Complex&, const Complex*,
                           const octave_idx_type&, const Complex*,
                           const octave_idx_type&, const Complex&, Complex*,
                           const octave_idx_type&
                           F77_CHAR_ARG_LEN_DECL);

  F77_RET_T
  F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*,
                             const octave_idx_type&, const Complex*,
                             const octave_idx_type&, Complex&);
}

// Complex Row Vector class

bool
ComplexRowVector::operator == (const ComplexRowVector& a) const
{
  octave_idx_type len = length ();
  if (len != a.length ())
    return 0;
  return mx_inline_equal (len, data (), a.data ());
}

bool
ComplexRowVector::operator != (const ComplexRowVector& a) const
{
  return !(*this == a);
}

// destructive insert/delete/reorder operations

ComplexRowVector&
ComplexRowVector::insert (const RowVector& a, octave_idx_type c)
{
  octave_idx_type a_len = a.length ();

  if (c < 0 || c + a_len > length ())
    {
      (*current_liboctave_error_handler) ("range error for insert");
      return *this;
    }

  if (a_len > 0)
    {
      make_unique ();

      for (octave_idx_type i = 0; i < a_len; i++)
        xelem (c+i) = a.elem (i);
    }

  return *this;
}

ComplexRowVector&
ComplexRowVector::insert (const ComplexRowVector& a, octave_idx_type c)
{
  octave_idx_type a_len = a.length ();

  if (c < 0 || c + a_len > length ())
    {
      (*current_liboctave_error_handler) ("range error for insert");
      return *this;
    }

  if (a_len > 0)
    {
      make_unique ();

      for (octave_idx_type i = 0; i < a_len; i++)
        xelem (c+i) = a.elem (i);
    }

  return *this;
}

ComplexRowVector&
ComplexRowVector::fill (double val)
{
  octave_idx_type len = length ();

  if (len > 0)
    {
      make_unique ();

      for (octave_idx_type i = 0; i < len; i++)
        xelem (i) = val;
    }

  return *this;
}

ComplexRowVector&
ComplexRowVector::fill (const Complex& val)
{
  octave_idx_type len = length ();

  if (len > 0)
    {
      make_unique ();

      for (octave_idx_type i = 0; i < len; i++)
        xelem (i) = val;
    }

  return *this;
}

ComplexRowVector&
ComplexRowVector::fill (double val, octave_idx_type c1, octave_idx_type c2)
{
  octave_idx_type len = length ();

  if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len)
    {
      (*current_liboctave_error_handler) ("range error for fill");
      return *this;
    }

  if (c1 > c2) { std::swap (c1, c2); }

  if (c2 >= c1)
    {
      make_unique ();

      for (octave_idx_type i = c1; i <= c2; i++)
        xelem (i) = val;
    }

  return *this;
}

ComplexRowVector&
ComplexRowVector::fill (const Complex& val,
                        octave_idx_type c1, octave_idx_type c2)
{
  octave_idx_type len = length ();

  if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len)
    {
      (*current_liboctave_error_handler) ("range error for fill");
      return *this;
    }

  if (c1 > c2) { std::swap (c1, c2); }

  if (c2 >= c1)
    {
      make_unique ();

      for (octave_idx_type i = c1; i <= c2; i++)
        xelem (i) = val;
    }

  return *this;
}

ComplexRowVector
ComplexRowVector::append (const RowVector& a) const
{
  octave_idx_type len = length ();
  octave_idx_type nc_insert = len;
  ComplexRowVector retval (len + a.length ());
  retval.insert (*this, 0);
  retval.insert (a, nc_insert);
  return retval;
}

ComplexRowVector
ComplexRowVector::append (const ComplexRowVector& a) const
{
  octave_idx_type len = length ();
  octave_idx_type nc_insert = len;
  ComplexRowVector retval (len + a.length ());
  retval.insert (*this, 0);
  retval.insert (a, nc_insert);
  return retval;
}

ComplexColumnVector
ComplexRowVector::hermitian (void) const
{
  return MArray<Complex>::hermitian (std::conj);
}

ComplexColumnVector
ComplexRowVector::transpose (void) const
{
  return MArray<Complex>::transpose ();
}

ComplexRowVector
conj (const ComplexRowVector& a)
{
  return do_mx_unary_map<Complex, Complex, std::conj<double> > (a);
}

// resize is the destructive equivalent for this one

ComplexRowVector
ComplexRowVector::extract (octave_idx_type c1, octave_idx_type c2) const
{
  if (c1 > c2) { std::swap (c1, c2); }

  octave_idx_type new_c = c2 - c1 + 1;

  ComplexRowVector result (new_c);

  for (octave_idx_type i = 0; i < new_c; i++)
    result.elem (i) = elem (c1+i);

  return result;
}

ComplexRowVector
ComplexRowVector::extract_n (octave_idx_type r1, octave_idx_type n) const
{
  ComplexRowVector result (n);

  for (octave_idx_type i = 0; i < n; i++)
    result.elem (i) = elem (r1+i);

  return result;
}

// row vector by row vector -> row vector operations

ComplexRowVector&
ComplexRowVector::operator += (const RowVector& a)
{
  octave_idx_type len = length ();

  octave_idx_type a_len = a.length ();

  if (len != a_len)
    {
      gripe_nonconformant ("operator +=", len, a_len);
      return *this;
    }

  if (len == 0)
    return *this;

  Complex *d = fortran_vec (); // Ensures only one reference to my privates!

  mx_inline_add2 (len, d, a.data ());
  return *this;
}

ComplexRowVector&
ComplexRowVector::operator -= (const RowVector& a)
{
  octave_idx_type len = length ();

  octave_idx_type a_len = a.length ();

  if (len != a_len)
    {
      gripe_nonconformant ("operator -=", len, a_len);
      return *this;
    }

  if (len == 0)
    return *this;

  Complex *d = fortran_vec (); // Ensures only one reference to my privates!

  mx_inline_sub2 (len, d, a.data ());
  return *this;
}

// row vector by matrix -> row vector

ComplexRowVector
operator * (const ComplexRowVector& v, const ComplexMatrix& a)
{
  ComplexRowVector retval;

  octave_idx_type len = v.length ();

  octave_idx_type a_nr = a.rows ();
  octave_idx_type a_nc = a.cols ();

  if (a_nr != len)
    gripe_nonconformant ("operator *", 1, len, a_nr, a_nc);
  else
    {
      if (len == 0)
        retval.resize (a_nc, 0.0);
      else
        {
          // Transpose A to form A'*x == (x'*A)'

          octave_idx_type ld = a_nr;

          retval.resize (a_nc);
          Complex *y = retval.fortran_vec ();

          F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 ("T", 1),
                                   a_nr, a_nc, 1.0, a.data (),
                                   ld, v.data (), 1, 0.0, y, 1
                                   F77_CHAR_ARG_LEN (1)));
        }
    }

  return retval;
}

ComplexRowVector
operator * (const RowVector& v, const ComplexMatrix& a)
{
  ComplexRowVector tmp (v);
  return tmp * a;
}

// other operations

Complex
ComplexRowVector::min (void) const
{
  octave_idx_type len = length ();
  if (len == 0)
    return Complex (0.0);

  Complex res = elem (0);
  double absres = std::abs (res);

  for (octave_idx_type i = 1; i < len; i++)
    if (std::abs (elem (i)) < absres)
      {
        res = elem (i);
        absres = std::abs (res);
      }

  return res;
}

Complex
ComplexRowVector::max (void) const
{
  octave_idx_type len = length ();
  if (len == 0)
    return Complex (0.0);

  Complex res = elem (0);
  double absres = std::abs (res);

  for (octave_idx_type i = 1; i < len; i++)
    if (std::abs (elem (i)) > absres)
      {
        res = elem (i);
        absres = std::abs (res);
      }

  return res;
}

// i/o

std::ostream&
operator << (std::ostream& os, const ComplexRowVector& a)
{
//  int field_width = os.precision () + 7;
  for (octave_idx_type i = 0; i < a.length (); i++)
    os << " " /* setw (field_width) */ << a.elem (i);
  return os;
}

std::istream&
operator >> (std::istream& is, ComplexRowVector& a)
{
  octave_idx_type len = a.length ();

  if (len > 0)
    {
      Complex tmp;
      for (octave_idx_type i = 0; i < len; i++)
        {
          is >> tmp;
          if (is)
            a.elem (i) = tmp;
          else
            break;
        }
    }
  return is;
}

// row vector by column vector -> scalar

// row vector by column vector -> scalar

Complex
operator * (const ComplexRowVector& v, const ColumnVector& a)
{
  ComplexColumnVector tmp (a);
  return v * tmp;
}

Complex
operator * (const ComplexRowVector& v, const ComplexColumnVector& a)
{
  Complex retval (0.0, 0.0);

  octave_idx_type len = v.length ();

  octave_idx_type a_len = a.length ();

  if (len != a_len)
    gripe_nonconformant ("operator *", len, a_len);
  else if (len != 0)
    F77_FUNC (xzdotu, XZDOTU) (len, v.data (), 1, a.data (), 1, retval);

  return retval;
}

// other operations

ComplexRowVector
linspace (const Complex& x1, const Complex& x2, octave_idx_type n)
{
  if (n < 1) n = 1;

  NoAlias<ComplexRowVector> retval (n);

  Complex delta = (x2 - x1) / (n - 1.0);
  retval(0) = x1;
  for (octave_idx_type i = 1; i < n-1; i++)
    retval(i) = x1 + static_cast<double> (i)*delta;
  retval(n-1) = x2;

  return retval;
}