CRowVector.cc

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//
// Copyright (C) 1994-2024 The Octave Project Developers
//
// See the file COPYRIGHT.md in the top-level directory of this
// distribution or <https://octave.org/copyright/>.
//
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////////////////////////////////////////////////////////////////////////
 
#if defined (HAVE_CONFIG_H)
#  include "config.h"
#endif
 
#include <istream>
#include <ostream>
#include <type_traits>
 
#include "Array-util.h"
#include "lo-blas-proto.h"
#include "lo-error.h"
#include "mx-base.h"
#include "mx-inlines.cc"
#include "oct-cmplx.h"
 
// Complex Row Vector class
 
bool
ComplexRowVector::operator == (const ComplexRowVector& a) const
{
  octave_idx_type len = numel ();
  if (len != a.numel ())
    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.numel ();
 
  if (c < 0 || c + a_len > numel ())
    (*current_liboctave_error_handler) ("range error for insert");
 
  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.numel ();
 
  if (c < 0 || c + a_len > numel ())
    (*current_liboctave_error_handler) ("range error for insert");
 
  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 = numel ();
 
  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 = numel ();
 
  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 = numel ();
 
  if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len)
    (*current_liboctave_error_handler) ("range error for fill");
 
  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 = numel ();
 
  if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len)
    (*current_liboctave_error_handler) ("range error for fill");
 
  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 = numel ();
  octave_idx_type nc_insert = len;
  ComplexRowVector retval (len + a.numel ());
  retval.insert (*this, 0);
  retval.insert (a, nc_insert);
  return retval;
}
 
ComplexRowVector
ComplexRowVector::append (const ComplexRowVector& a) const
{
  octave_idx_type len = numel ();
  octave_idx_type nc_insert = len;
  ComplexRowVector retval (len + a.numel ());
  retval.insert (*this, 0);
  retval.insert (a, nc_insert);
  return retval;
}
 
ComplexColumnVector
ComplexRowVector::hermitian () const
{
  return MArray<Complex>::hermitian (std::conj);
}
 
ComplexColumnVector
ComplexRowVector::transpose () 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 = numel ();
 
  octave_idx_type a_len = a.numel ();
 
  if (len != a_len)
    octave::err_nonconformant ("operator +=", len, a_len);
 
  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 = numel ();
 
  octave_idx_type a_len = a.numel ();
 
  if (len != a_len)
    octave::err_nonconformant ("operator -=", len, a_len);
 
  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;
 
  F77_INT len = octave::to_f77_int (v.numel ());
 
  F77_INT a_nr = octave::to_f77_int (a.rows ());
  F77_INT a_nc = octave::to_f77_int (a.cols ());
 
  if (a_nr != len)
    octave::err_nonconformant ("operator *", 1, len, a_nr, a_nc);
 
  if (len == 0)
    retval.resize (a_nc, 0.0);
  else
    {
      // Transpose A to form A'*x == (x'*A)'
 
      F77_INT 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, F77_CONST_DBLE_CMPLX_ARG (a.data ()),
                               ld, F77_CONST_DBLE_CMPLX_ARG (v.data ()), 1, 0.0, F77_DBLE_CMPLX_ARG (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 () const
{
  octave_idx_type len = numel ();
  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 () const
{
  octave_idx_type len = numel ();
  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.numel (); i++)
    os << ' ' /* setw (field_width) */ << a.elem (i);
  return os;
}
 
std::istream&
operator >> (std::istream& is, ComplexRowVector& a)
{
  octave_idx_type len = a.numel ();
 
  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);
 
  F77_INT len = octave::to_f77_int (v.numel ());
 
  F77_INT a_len = octave::to_f77_int (a.numel ());
 
  if (len != a_len)
    octave::err_nonconformant ("operator *", len, a_len);
  if (len != 0)
    F77_FUNC (xzdotu, XZDOTU) (len, F77_CONST_DBLE_CMPLX_ARG (v.data ()), 1,
                               F77_CONST_DBLE_CMPLX_ARG (a.data ()), 1, F77_DBLE_CMPLX_ARG (&retval));
 
  return retval;
}
 
// other operations
 
ComplexRowVector
linspace (const Complex& x1, const Complex& x2, octave_idx_type n_in)
{
  ComplexRowVector retval;
 
  if (n_in < 1)
    return retval;
  else if (n_in == 1)
    {
      retval.resize (1, x2);
      return retval;
    }
  else if (x1 == x2)
    {
      retval.resize (n_in, x2);
      return retval;
    }
 
  // Use unsigned type (guaranteed n_in > 1 at this point) so that divisions
  // by 2 can be replaced by compiler with shift right instructions.
  typedef std::make_unsigned<octave_idx_type>::type unsigned_octave_idx_type;
 
  unsigned_octave_idx_type n = n_in;
 
  // Set endpoints, rather than calculate, for maximum accuracy.
  retval.clear (n);
  retval.xelem (0) = x1;
  retval.xelem (n-1) = x2;
 
  // Construct linspace symmetrically from both ends.
  bool isnan_delta = false;
  Complex delta = (x2 - x1) / (n - 1.0);
  if (octave::math::isinf (delta))
    {
      if (octave::math::isinf (delta.real ()))
        delta.real (octave::numeric_limits<double>::NaN ());
      if (octave::math::isinf (delta.imag ()))
        delta.imag (octave::numeric_limits<double>::NaN ());
      isnan_delta = true;
    }
 
  unsigned_octave_idx_type n2 = n/2;
  for (unsigned_octave_idx_type i = 1; i < n2; i++)
    {
      retval.xelem (i) = x1 + static_cast<double> (i)*delta;
      retval.xelem (n-1-i) = x2 - static_cast<double> (i)*delta;
    }
  if (n % 2 == 1)  // Middle element if number of elements is odd.
    {
      if (x1 == -x2)
        retval.xelem (n2) = 0;
      else
        {
          Complex c = (x1 + x2) / 2.0;
          if (isnan_delta)
            {
              if (octave::math::isnan (delta.real ()))
                c.real (octave::numeric_limits<double>::NaN ());
              if (octave::math::isnan (delta.imag ()))
                c.imag (octave::numeric_limits<double>::NaN ());
            }
          retval.xelem (n2) = c;
        }
    }
 
  return retval;
}