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////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 1996-2025 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 <complex>
#include <istream>
#include <ostream>
#include "Array-util.h"
#include "CNDArray.h"
#include "f77-fcn.h"
#include "lo-ieee.h"
#include "lo-mappers.h"
#include "mx-base.h"
#include "mx-cnda-s.h"
#include "mx-op-defs.h"
#include "oct-fftw.h"
#include "oct-locbuf.h"
#include "bsxfun-defs.cc"
ComplexNDArray::ComplexNDArray (const charNDArray& a)
: MArray<Complex> (a.dims ())
{
octave_idx_type n = a.numel ();
for (octave_idx_type i = 0; i < n; i++)
xelem (i) = static_cast<unsigned char> (a(i));
}
#if defined (HAVE_FFTW)
ComplexNDArray
ComplexNDArray::fourier (int dim) const
{
const dim_vector& dv = dims ();
if (dim > dv.ndims () || dim < 0)
return ComplexNDArray ();
octave_idx_type stride = 1;
octave_idx_type n = dv(dim);
for (int i = 0; i < dim; i++)
stride *= dv(i);
octave_idx_type howmany = numel () / dv(dim);
howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany));
octave_idx_type nloop = (stride == 1 ? 1 : numel () / dv(dim) / stride);
octave_idx_type dist = (stride == 1 ? n : 1);
const Complex *in (data ());
ComplexNDArray retval (dv);
Complex *out (retval.rwdata ());
// Need to be careful here about the distance between fft's
for (octave_idx_type k = 0; k < nloop; k++)
octave::fftw::fft (in + k * stride * n, out + k * stride * n,
n, howmany, stride, dist);
return retval;
}
ComplexNDArray
ComplexNDArray::ifourier (int dim) const
{
const dim_vector& dv = dims ();
if (dim > dv.ndims () || dim < 0)
return ComplexNDArray ();
octave_idx_type stride = 1;
octave_idx_type n = dv(dim);
for (int i = 0; i < dim; i++)
stride *= dv(i);
octave_idx_type howmany = numel () / dv(dim);
howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany));
octave_idx_type nloop = (stride == 1 ? 1 : numel () / dv(dim) / stride);
octave_idx_type dist = (stride == 1 ? n : 1);
const Complex *in (data ());
ComplexNDArray retval (dv);
Complex *out (retval.rwdata ());
// Need to be careful here about the distance between fft's
for (octave_idx_type k = 0; k < nloop; k++)
octave::fftw::ifft (in + k * stride * n, out + k * stride * n,
n, howmany, stride, dist);
return retval;
}
ComplexNDArray
ComplexNDArray::fourier2d () const
{
const dim_vector& dv = dims ();
if (dv.ndims () < 2)
return ComplexNDArray ();
dim_vector dv2 (dv(0), dv(1));
const Complex *in = data ();
ComplexNDArray retval (dv);
Complex *out = retval.rwdata ();
octave_idx_type howmany = numel () / dv(0) / dv(1);
octave_idx_type dist = dv(0) * dv(1);
for (octave_idx_type i=0; i < howmany; i++)
octave::fftw::fftNd (in + i*dist, out + i*dist, 2, dv2);
return retval;
}
ComplexNDArray
ComplexNDArray::ifourier2d () const
{
const dim_vector& dv = dims ();
if (dv.ndims () < 2)
return ComplexNDArray ();
dim_vector dv2 (dv(0), dv(1));
const Complex *in = data ();
ComplexNDArray retval (dv);
Complex *out = retval.rwdata ();
octave_idx_type howmany = numel () / dv(0) / dv(1);
octave_idx_type dist = dv(0) * dv(1);
for (octave_idx_type i=0; i < howmany; i++)
octave::fftw::ifftNd (in + i*dist, out + i*dist, 2, dv2);
return retval;
}
ComplexNDArray
ComplexNDArray::fourierNd () const
{
const dim_vector& dv = dims ();
int rank = dv.ndims ();
const Complex *in (data ());
ComplexNDArray retval (dv);
Complex *out (retval.rwdata ());
octave::fftw::fftNd (in, out, rank, dv);
return retval;
}
ComplexNDArray
ComplexNDArray::ifourierNd () const
{
const dim_vector& dv = dims ();
int rank = dv.ndims ();
const Complex *in (data ());
ComplexNDArray retval (dv);
Complex *out (retval.rwdata ());
octave::fftw::ifftNd (in, out, rank, dv);
return retval;
}
#else
ComplexNDArray
ComplexNDArray::fourier (int dim) const
{
octave_unused_parameter (dim);
(*current_liboctave_error_handler)
("support for FFTW was unavailable or disabled when liboctave was built");
return ComplexNDArray ();
}
ComplexNDArray
ComplexNDArray::ifourier (int dim) const
{
octave_unused_parameter (dim);
(*current_liboctave_error_handler)
("support for FFTW was unavailable or disabled when liboctave was built");
return ComplexNDArray ();
}
ComplexNDArray
ComplexNDArray::fourier2d () const
{
(*current_liboctave_error_handler)
("support for FFTW was unavailable or disabled when liboctave was built");
return ComplexNDArray ();
}
ComplexNDArray
ComplexNDArray::ifourier2d () const
{
(*current_liboctave_error_handler)
("support for FFTW was unavailable or disabled when liboctave was built");
return ComplexNDArray ();
}
ComplexNDArray
ComplexNDArray::fourierNd () const
{
(*current_liboctave_error_handler)
("support for FFTW was unavailable or disabled when liboctave was built");
return ComplexNDArray ();
}
ComplexNDArray
ComplexNDArray::ifourierNd () const
{
(*current_liboctave_error_handler)
("support for FFTW was unavailable or disabled when liboctave was built");
return ComplexNDArray ();
}
#endif
// unary operations
boolNDArray
ComplexNDArray::operator ! () const
{
if (any_element_is_nan ())
octave::err_nan_to_logical_conversion ();
return do_mx_unary_op<bool, Complex> (*this, mx_inline_not);
}
// FIXME: this is not quite the right thing.
bool
ComplexNDArray::any_element_is_nan () const
{
return do_mx_check<Complex> (*this, mx_inline_any_nan);
}
bool
ComplexNDArray::any_element_is_inf_or_nan () const
{
return ! do_mx_check<Complex> (*this, mx_inline_all_finite);
}
// Return true if no elements have imaginary components.
bool
ComplexNDArray::all_elements_are_real () const
{
return do_mx_check<Complex> (*this, mx_inline_all_real);
}
// Return nonzero if any element of CM has a non-integer real or
// imaginary part. Also extract the largest and smallest (real or
// imaginary) values and return them in MAX_VAL and MIN_VAL.
bool
ComplexNDArray::all_integers (double& max_val, double& min_val) const
{
octave_idx_type nel = numel ();
if (nel > 0)
{
Complex val = elem (0);
double r_val = val.real ();
double i_val = val.imag ();
max_val = r_val;
min_val = r_val;
if (i_val > max_val)
max_val = i_val;
if (i_val < max_val)
min_val = i_val;
}
else
return false;
for (octave_idx_type i = 0; i < nel; i++)
{
Complex val = elem (i);
double r_val = val.real ();
double i_val = val.imag ();
if (r_val > max_val)
max_val = r_val;
if (i_val > max_val)
max_val = i_val;
if (r_val < min_val)
min_val = r_val;
if (i_val < min_val)
min_val = i_val;
if (octave::math::x_nint (r_val) != r_val
|| octave::math::x_nint (i_val) != i_val)
return false;
}
return true;
}
bool
ComplexNDArray::too_large_for_float () const
{
return test_any (octave::too_large_for_float);
}
boolNDArray
ComplexNDArray::all (int dim) const
{
return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_all);
}
boolNDArray
ComplexNDArray::any (int dim) const
{
return do_mx_red_op<bool, Complex> (*this, dim, mx_inline_any);
}
ComplexNDArray
ComplexNDArray::cumprod (int dim) const
{
return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumprod);
}
ComplexNDArray
ComplexNDArray::cumsum (int dim) const
{
return do_mx_cum_op<Complex, Complex> (*this, dim, mx_inline_cumsum);
}
ComplexNDArray
ComplexNDArray::prod (int dim) const
{
return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_prod);
}
ComplexNDArray
ComplexNDArray::sum (int dim) const
{
return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_sum);
}
ComplexNDArray
ComplexNDArray::xsum (int dim) const
{
return do_mx_red_op<Complex, Complex> (*this, dim, mx_inline_xsum);
}
ComplexNDArray
ComplexNDArray::sumsq (int dim) const
{
return do_mx_red_op<double, Complex> (*this, dim, mx_inline_sumsq);
}
ComplexNDArray
ComplexNDArray::diff (octave_idx_type order, int dim) const
{
return do_mx_diff_op<Complex> (*this, dim, order, mx_inline_diff);
}
ComplexNDArray
ComplexNDArray::concat (const ComplexNDArray& rb,
const Array<octave_idx_type>& ra_idx)
{
if (rb.numel () > 0)
insert (rb, ra_idx);
return *this;
}
ComplexNDArray
ComplexNDArray::concat (const NDArray& rb, const Array<octave_idx_type>& ra_idx)
{
ComplexNDArray tmp (rb);
if (rb.numel () > 0)
insert (tmp, ra_idx);
return *this;
}
ComplexNDArray
concat (NDArray& ra, ComplexNDArray& rb, const Array<octave_idx_type>& ra_idx)
{
ComplexNDArray retval (ra);
if (rb.numel () > 0)
retval.insert (rb, ra_idx);
return retval;
}
static const Complex Complex_NaN_result (octave::numeric_limits<double>::NaN (),
octave::numeric_limits<double>::NaN ());
ComplexNDArray
ComplexNDArray::max (int dim) const
{
return do_mx_minmax_op<Complex> (*this, dim, mx_inline_max);
}
ComplexNDArray
ComplexNDArray::max (Array<octave_idx_type>& idx_arg, int dim) const
{
return do_mx_minmax_op<Complex> (*this, idx_arg, dim, mx_inline_max);
}
ComplexNDArray
ComplexNDArray::min (int dim) const
{
return do_mx_minmax_op<Complex> (*this, dim, mx_inline_min);
}
ComplexNDArray
ComplexNDArray::min (Array<octave_idx_type>& idx_arg, int dim) const
{
return do_mx_minmax_op<Complex> (*this, idx_arg, dim, mx_inline_min);
}
ComplexNDArray
ComplexNDArray::cummax (int dim) const
{
return do_mx_cumminmax_op<Complex> (*this, dim, mx_inline_cummax);
}
ComplexNDArray
ComplexNDArray::cummax (Array<octave_idx_type>& idx_arg, int dim) const
{
return do_mx_cumminmax_op<Complex> (*this, idx_arg, dim, mx_inline_cummax);
}
ComplexNDArray
ComplexNDArray::cummin (int dim) const
{
return do_mx_cumminmax_op<Complex> (*this, dim, mx_inline_cummin);
}
ComplexNDArray
ComplexNDArray::cummin (Array<octave_idx_type>& idx_arg, int dim) const
{
return do_mx_cumminmax_op<Complex> (*this, idx_arg, dim, mx_inline_cummin);
}
NDArray
ComplexNDArray::abs () const
{
return do_mx_unary_map<double, Complex, std::abs> (*this);
}
boolNDArray
ComplexNDArray::isnan () const
{
return do_mx_unary_map<bool, Complex, octave::math::isnan> (*this);
}
boolNDArray
ComplexNDArray::isinf () const
{
return do_mx_unary_map<bool, Complex, octave::math::isinf> (*this);
}
boolNDArray
ComplexNDArray::isfinite () const
{
return do_mx_unary_map<bool, Complex, octave::math::isfinite> (*this);
}
ComplexNDArray
conj (const ComplexNDArray& a)
{
return do_mx_unary_map<Complex, Complex, std::conj<double>> (a);
}
ComplexNDArray&
ComplexNDArray::insert (const NDArray& a, octave_idx_type r, octave_idx_type c)
{
const dim_vector& a_dv = a.dims ();
const dim_vector& dv = dims ();
int n = a_dv.ndims ();
if (n != dv.ndims ())
(*current_liboctave_error_handler)
("Array<T>::insert: invalid indexing operation");
Array<octave_idx_type> a_ra_idx (dim_vector (a_dv.ndims (), 1), 0);
a_ra_idx.elem (0) = r;
a_ra_idx.elem (1) = c;
for (int i = 0; i < n; i++)
{
if (a_ra_idx(i) < 0 || (a_ra_idx(i) + a_dv(i)) > dv(i))
(*current_liboctave_error_handler)
("Array<T>::insert: range error for insert");
}
a_ra_idx.elem (0) = 0;
a_ra_idx.elem (1) = 0;
octave_idx_type n_elt = a.numel ();
// IS make_unique () NECESSARY HERE?
for (octave_idx_type i = 0; i < n_elt; i++)
{
Array<octave_idx_type> ra_idx = a_ra_idx;
ra_idx.elem (0) = a_ra_idx(0) + r;
ra_idx.elem (1) = a_ra_idx(1) + c;
elem (ra_idx) = a.elem (a_ra_idx);
increment_index (a_ra_idx, a_dv);
}
return *this;
}
ComplexNDArray&
ComplexNDArray::insert (const ComplexNDArray& a,
octave_idx_type r, octave_idx_type c)
{
Array<Complex>::insert (a, r, c);
return *this;
}
ComplexNDArray&
ComplexNDArray::insert (const ComplexNDArray& a,
const Array<octave_idx_type>& ra_idx)
{
Array<Complex>::insert (a, ra_idx);
return *this;
}
void
ComplexNDArray::increment_index (Array<octave_idx_type>& ra_idx,
const dim_vector& dimensions,
int start_dimension)
{
::increment_index (ra_idx, dimensions, start_dimension);
}
octave_idx_type
ComplexNDArray::compute_index (Array<octave_idx_type>& ra_idx,
const dim_vector& dimensions)
{
return ::compute_index (ra_idx, dimensions);
}
ComplexNDArray
ComplexNDArray::diag (octave_idx_type k) const
{
return MArray<Complex>::diag (k);
}
ComplexNDArray
ComplexNDArray::diag (octave_idx_type m, octave_idx_type n) const
{
return MArray<Complex>::diag (m, n);
}
// This contains no information on the array structure !!!
std::ostream&
operator << (std::ostream& os, const ComplexNDArray& a)
{
octave_idx_type nel = a.numel ();
for (octave_idx_type i = 0; i < nel; i++)
{
os << ' ';
octave::write_value<Complex> (os, a.elem (i));
os << "\n";
}
return os;
}
std::istream&
operator >> (std::istream& is, ComplexNDArray& a)
{
octave_idx_type nel = a.numel ();
if (nel > 0)
{
Complex tmp;
for (octave_idx_type i = 0; i < nel; i++)
{
tmp = octave::read_value<Complex> (is);
if (is)
a.elem (i) = tmp;
else
return is;
}
}
return is;
}
MINMAX_FCNS (ComplexNDArray, Complex)
NDS_CMP_OPS (ComplexNDArray, Complex)
NDS_BOOL_OPS (ComplexNDArray, Complex)
SND_CMP_OPS (Complex, ComplexNDArray)
SND_BOOL_OPS (Complex, ComplexNDArray)
NDND_CMP_OPS (ComplexNDArray, ComplexNDArray)
NDND_BOOL_OPS (ComplexNDArray, ComplexNDArray)
ComplexNDArray& operator *= (ComplexNDArray& a, double s)
{
if (a.is_shared ())
a = a * s;
else
do_ms_inplace_op<Complex, double> (a, s, mx_inline_mul2);
return a;
}
ComplexNDArray&
operator /= (ComplexNDArray& a, double s)
{
if (a.is_shared ())
return a = a / s;
else
do_ms_inplace_op<Complex, double> (a, s, mx_inline_div2);
return a;
}
BSXFUN_STDOP_DEFS_MXLOOP (ComplexNDArray)
BSXFUN_STDREL_DEFS_MXLOOP (ComplexNDArray)
BSXFUN_OP_DEF_MXLOOP (pow, ComplexNDArray, mx_inline_pow)
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