ov-complex.cc

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////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 1996-2022 The Octave Project Developers
//
// See the file COPYRIGHT.md in the top-level directory of this
// distribution or <https://octave.org/copyright/>.
//
// 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
// <https://www.gnu.org/licenses/>.
//
////////////////////////////////////////////////////////////////////////
 
#if defined (HAVE_CONFIG_H)
#  include "config.h"
#endif
 
#include <istream>
#include <ostream>
#include <sstream>
 
#include "lo-ieee.h"
#include "lo-specfun.h"
#include "lo-mappers.h"
 
#include "mxarray.h"
#include "ovl.h"
#include "oct-hdf5.h"
#include "oct-stream.h"
#include "ops.h"
#include "ov-complex.h"
#include "ov-flt-complex.h"
#include "ov-base.h"
#include "ov-base-scalar.h"
#include "ov-base-scalar.cc"
#include "ov-cx-mat.h"
#include "ov-scalar.h"
#include "errwarn.h"
#include "pr-output.h"
#include "ops.h"
 
#include "ls-oct-text.h"
#include "ls-hdf5.h"
 
// Prevent implicit instantiations on some systems (Windows, others?)
// that can lead to duplicate definitions of static data members.
 
extern template class octave_base_scalar<double>;
extern template class octave_base_scalar<FloatComplex>;
 
template class octave_base_scalar<Complex>;
 
DEFINE_OV_TYPEID_FUNCTIONS_AND_DATA (octave_complex,
                                     "complex scalar", "double");
 
namespace octave
{
  // Complain if a complex value is used as a subscript.
 
  class complex_index_exception : public index_exception
  {
  public:
 
    complex_index_exception (const std::string& value)
      : index_exception (value)
    {
      // Virtual, but the one we want to call is defined in this class.
      update_message ();
    }
 
    ~complex_index_exception (void) = default;
 
    void update_message (void)
    {
      set_message (expression ()
                   + ": subscripts must be real (forgot to initialize i or j?)");
    }
 
    // ID of error to throw.
    const char * err_id (void) const
    {
      return "Octave:invalid-index";
    }
  };
}
 
static octave_base_value *
default_numeric_demotion_function (const octave_base_value& a)
{
  const octave_complex& v = dynamic_cast<const octave_complex&> (a);
 
  return new octave_float_complex (v.float_complex_value ());
}
 
octave_base_value::type_conv_info
octave_complex::numeric_demotion_function (void) const
{
  return
    octave_base_value::type_conv_info (default_numeric_demotion_function,
                                       octave_float_complex::static_type_id ());
}
 
octave_base_value *
octave_complex::try_narrowing_conversion (void)
{
  octave_base_value *retval = nullptr;
 
  double im = scalar.imag ();
 
  if (im == 0.0)
    retval = new octave_scalar (scalar.real ());
 
  return retval;
}
 
octave_value
octave_complex::do_index_op (const octave_value_list& idx, bool resize_ok)
{
  // FIXME: this doesn't solve the problem of
  //
  //   a = i; a([1,1], [1,1], [1,1])
  //
  // and similar constructions.  Hmm...
 
  // FIXME: using this constructor avoids narrowing the
  // 1x1 matrix back to a scalar value.  Need a better solution
  // to this problem.
 
  octave_value tmp (new octave_complex_matrix (complex_matrix_value ()));
 
  return tmp.index_op (idx, resize_ok);
}
 
// Can't make an index_vector from a complex number.  Throw an error.
octave::idx_vector
octave_complex::index_vector (bool) const
{
  std::ostringstream buf;
  buf << scalar.real () << std::showpos << scalar.imag () << 'i';
  octave::complex_index_exception cie (buf.str ());
 
  throw cie;
}
 
double
octave_complex::double_value (bool force_conversion) const
{
  if (! force_conversion)
    warn_implicit_conversion ("Octave:imag-to-real",
                              "complex scalar", "real scalar");
 
  return scalar.real ();
}
 
float
octave_complex::float_value (bool force_conversion) const
{
  if (! force_conversion)
    warn_implicit_conversion ("Octave:imag-to-real",
                              "complex scalar", "real scalar");
 
  return scalar.real ();
}
 
Matrix
octave_complex::matrix_value (bool force_conversion) const
{
  Matrix retval;
 
  if (! force_conversion)
    warn_implicit_conversion ("Octave:imag-to-real",
                              "complex scalar", "real matrix");
 
  retval = Matrix (1, 1, scalar.real ());
 
  return retval;
}
 
FloatMatrix
octave_complex::float_matrix_value (bool force_conversion) const
{
  FloatMatrix retval;
 
  if (! force_conversion)
    warn_implicit_conversion ("Octave:imag-to-real",
                              "complex scalar", "real matrix");
 
  retval = FloatMatrix (1, 1, scalar.real ());
 
  return retval;
}
 
NDArray
octave_complex::array_value (bool force_conversion) const
{
  NDArray retval;
 
  if (! force_conversion)
    warn_implicit_conversion ("Octave:imag-to-real",
                              "complex scalar", "real matrix");
 
  retval = NDArray (dim_vector (1, 1), scalar.real ());
 
  return retval;
}
 
FloatNDArray
octave_complex::float_array_value (bool force_conversion) const
{
  FloatNDArray retval;
 
  if (! force_conversion)
    warn_implicit_conversion ("Octave:imag-to-real",
                              "complex scalar", "real matrix");
 
  retval = FloatNDArray (dim_vector (1, 1), scalar.real ());
 
  return retval;
}
 
Complex
octave_complex::complex_value (bool) const
{
  return scalar;
}
 
FloatComplex
octave_complex::float_complex_value (bool) const
{
  return static_cast<FloatComplex> (scalar);
}
 
ComplexMatrix
octave_complex::complex_matrix_value (bool) const
{
  return ComplexMatrix (1, 1, scalar);
}
 
FloatComplexMatrix
octave_complex::float_complex_matrix_value (bool) const
{
  return FloatComplexMatrix (1, 1, static_cast<FloatComplex> (scalar));
}
 
ComplexNDArray
octave_complex::complex_array_value (bool /* force_conversion */) const
{
  return ComplexNDArray (dim_vector (1, 1), scalar);
}
 
FloatComplexNDArray
octave_complex::float_complex_array_value (bool /* force_conversion */) const
{
  return FloatComplexNDArray (dim_vector (1, 1),
                              static_cast<FloatComplex> (scalar));
}
 
octave_value
octave_complex::resize (const dim_vector& dv, bool fill) const
{
  if (fill)
    {
      ComplexNDArray retval (dv, Complex (0));
 
      if (dv.numel ())
        retval(0) = scalar;
 
      return retval;
    }
  else
    {
      ComplexNDArray retval (dv);
 
      if (dv.numel ())
        retval(0) = scalar;
 
      return retval;
    }
}
 
octave_value
octave_complex::as_double (void) const
{
  return scalar;
}
 
octave_value
octave_complex::as_single (void) const
{
  return FloatComplex (scalar);
}
 
octave_value
octave_complex::diag (octave_idx_type m, octave_idx_type n) const
{
  return ComplexDiagMatrix (Array<Complex> (dim_vector (1, 1), scalar), m, n);
}
 
bool
octave_complex::save_ascii (std::ostream& os)
{
  Complex c = complex_value ();
 
  octave::write_value<Complex> (os, c);
 
  os << "\n";
 
  return true;
}
 
bool
octave_complex::load_ascii (std::istream& is)
{
  scalar = octave::read_value<Complex> (is);
 
  if (! is)
    error ("load: failed to load complex scalar constant");
 
  return true;
}
 
bool
octave_complex::save_binary (std::ostream& os, bool /* save_as_floats */)
{
  char tmp = static_cast<char> (LS_DOUBLE);
  os.write (reinterpret_cast<char *> (&tmp), 1);
  Complex ctmp = complex_value ();
  os.write (reinterpret_cast<char *> (&ctmp), 16);
 
  return true;
}
 
bool
octave_complex::load_binary (std::istream& is, bool swap,
                             octave::mach_info::float_format fmt)
{
  char tmp;
  if (! is.read (reinterpret_cast<char *> (&tmp), 1))
    return false;
 
  Complex ctmp;
  read_doubles (is, reinterpret_cast<double *> (&ctmp),
                static_cast<save_type> (tmp), 2, swap, fmt);
 
  if (! is)
    return false;
 
  scalar = ctmp;
  return true;
}
 
bool
octave_complex::save_hdf5 (octave_hdf5_id loc_id, const char *name,
                           bool /* save_as_floats */)
{
  bool retval = false;
 
#if defined (HAVE_HDF5)
 
  hsize_t dimens[3] = {0};
  hid_t space_hid, type_hid, data_hid;
  space_hid = type_hid = data_hid = -1;
 
  space_hid = H5Screate_simple (0, dimens, nullptr);
  if (space_hid < 0)
    return false;
 
  type_hid = hdf5_make_complex_type (H5T_NATIVE_DOUBLE);
  if (type_hid < 0)
    {
      H5Sclose (space_hid);
      return false;
    }
#if defined (HAVE_HDF5_18)
  data_hid = H5Dcreate (loc_id, name, type_hid, space_hid,
                        octave_H5P_DEFAULT, octave_H5P_DEFAULT, octave_H5P_DEFAULT);
#else
  data_hid = H5Dcreate (loc_id, name, type_hid, space_hid, octave_H5P_DEFAULT);
#endif
  if (data_hid < 0)
    {
      H5Sclose (space_hid);
      H5Tclose (type_hid);
      return false;
    }
 
  Complex tmp = complex_value ();
  retval = H5Dwrite (data_hid, type_hid, octave_H5S_ALL, octave_H5S_ALL,
                     octave_H5P_DEFAULT, &tmp) >= 0;
 
  H5Dclose (data_hid);
  H5Tclose (type_hid);
  H5Sclose (space_hid);
 
#else
  octave_unused_parameter (loc_id);
  octave_unused_parameter (name);
 
  warn_save ("hdf5");
#endif
 
  return retval;
}
 
bool
octave_complex::load_hdf5 (octave_hdf5_id loc_id, const char *name)
{
  bool retval = false;
 
#if defined (HAVE_HDF5)
 
#if defined (HAVE_HDF5_18)
  hid_t data_hid = H5Dopen (loc_id, name, octave_H5P_DEFAULT);
#else
  hid_t data_hid = H5Dopen (loc_id, name);
#endif
  hid_t type_hid = H5Dget_type (data_hid);
 
  hid_t complex_type = hdf5_make_complex_type (H5T_NATIVE_DOUBLE);
 
  if (! hdf5_types_compatible (type_hid, complex_type))
    {
      H5Tclose (complex_type);
      H5Dclose (data_hid);
      return false;
    }
 
  hid_t space_id = H5Dget_space (data_hid);
  hsize_t rank = H5Sget_simple_extent_ndims (space_id);
 
  if (rank != 0)
    {
      H5Tclose (complex_type);
      H5Sclose (space_id);
      H5Dclose (data_hid);
      return false;
    }
 
  // complex scalar:
  Complex ctmp;
  if (H5Dread (data_hid, complex_type, octave_H5S_ALL, octave_H5S_ALL,
               octave_H5P_DEFAULT, &ctmp) >= 0)
    {
      retval = true;
      scalar = ctmp;
    }
 
  H5Tclose (complex_type);
  H5Sclose (space_id);
  H5Dclose (data_hid);
 
#else
  octave_unused_parameter (loc_id);
  octave_unused_parameter (name);
 
  warn_load ("hdf5");
#endif
 
  return retval;
}
 
mxArray *
octave_complex::as_mxArray (bool interleaved) const
{
  mxArray *retval = new mxArray (interleaved, mxDOUBLE_CLASS, 1, 1, mxCOMPLEX);
 
  if (interleaved)
    {
      mxComplexDouble *pd
        = reinterpret_cast<mxComplexDouble *> (retval->get_complex_doubles ());
 
      pd[0].real = scalar.real ();
      pd[0].imag = scalar.imag ();
    }
  else
    {
      mxDouble *pr = static_cast<mxDouble *> (retval->get_data ());
      mxDouble *pi = static_cast<mxDouble *> (retval->get_imag_data ());
 
      pr[0] = scalar.real ();
      pi[0] = scalar.imag ();
    }
 
  return retval;
}
 
octave_value
octave_complex::map (unary_mapper_t umap) const
{
  switch (umap)
    {
#define SCALAR_MAPPER(UMAP, FCN)              \
    case umap_ ## UMAP:                       \
      return octave_value (FCN (scalar))
 
    SCALAR_MAPPER (abs, std::abs);
    SCALAR_MAPPER (acos, octave::math::acos);
    SCALAR_MAPPER (acosh, octave::math::acosh);
    SCALAR_MAPPER (angle, std::arg);
    SCALAR_MAPPER (arg, std::arg);
    SCALAR_MAPPER (asin, octave::math::asin);
    SCALAR_MAPPER (asinh, octave::math::asinh);
    SCALAR_MAPPER (atan, octave::math::atan);
    SCALAR_MAPPER (atanh, octave::math::atanh);
    SCALAR_MAPPER (erf, octave::math::erf);
    SCALAR_MAPPER (erfc, octave::math::erfc);
    SCALAR_MAPPER (erfcx, octave::math::erfcx);
    SCALAR_MAPPER (erfi, octave::math::erfi);
    SCALAR_MAPPER (dawson, octave::math::dawson);
    SCALAR_MAPPER (ceil, octave::math::ceil);
    SCALAR_MAPPER (conj, std::conj);
    SCALAR_MAPPER (cos, std::cos);
    SCALAR_MAPPER (cosh, std::cosh);
    SCALAR_MAPPER (exp, std::exp);
    SCALAR_MAPPER (expm1, octave::math::expm1);
    SCALAR_MAPPER (fix, octave::math::fix);
    SCALAR_MAPPER (floor, octave::math::floor);
    SCALAR_MAPPER (imag, std::imag);
    SCALAR_MAPPER (log, std::log);
    SCALAR_MAPPER (log2, octave::math::log2);
    SCALAR_MAPPER (log10, std::log10);
    SCALAR_MAPPER (log1p, octave::math::log1p);
    SCALAR_MAPPER (real, std::real);
    SCALAR_MAPPER (round, octave::math::round);
    SCALAR_MAPPER (roundb, octave::math::roundb);
    SCALAR_MAPPER (signum, octave::math::signum);
    SCALAR_MAPPER (sin, std::sin);
    SCALAR_MAPPER (sinh, std::sinh);
    SCALAR_MAPPER (sqrt, std::sqrt);
    SCALAR_MAPPER (tan, std::tan);
    SCALAR_MAPPER (tanh, std::tanh);
    SCALAR_MAPPER (isfinite, octave::math::isfinite);
    SCALAR_MAPPER (isinf, octave::math::isinf);
    SCALAR_MAPPER (isna, octave::math::isna);
    SCALAR_MAPPER (isnan, octave::math::isnan);
 
    // Special cases for Matlab compatibility.
    case umap_xtolower:
    case umap_xtoupper:
      return scalar;
 
    default:
      return octave_base_value::map (umap);
    }
}