Mercurial > octave
view liboctave/array/dNDArray.cc @ 21301:40de9f8f23a6
Use '#include "config.h"' rather than <config.h>.
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op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc,
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Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc,
Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc,
Array-voidp.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc,
CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc,
MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc,
MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc,
Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc,
boolNDArray.cc, boolSparse.cc, chMatrix.cc, chNDArray.cc, dColVector.cc,
dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc,
dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc,
fRowVector.cc, idx-vector.cc, int16NDArray.cc, int32NDArray.cc,
int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc,
uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c,
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octave-config.in.cc:
Use '#include "config.h"' rather than <config.h>.
author | Rik <rik@octave.org> |
---|---|
date | Thu, 18 Feb 2016 13:34:50 -0800 |
parents | f7121e111991 |
children | 6c2fd62db1f7 |
line wrap: on
line source
// N-D Array manipulations. /* Copyright (C) 1996-2015 John W. Eaton Copyright (C) 2009 VZLU Prague, a.s. 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 <cfloat> #include <vector> #include "Array-util.h" #include "dNDArray.h" #include "f77-fcn.h" #include "functor.h" #include "lo-error.h" #include "lo-ieee.h" #include "lo-mappers.h" #include "mx-base.h" #include "mx-op-defs.h" #include "oct-fftw.h" #include "oct-locbuf.h" #include "bsxfun-defs.cc" NDArray::NDArray (const Array<octave_idx_type>& a, bool zero_based, bool negative_to_nan) { const octave_idx_type *pa = a.fortran_vec (); resize (a.dims ()); double *ptmp = fortran_vec (); if (negative_to_nan) { double nan_val = lo_ieee_nan_value (); if (zero_based) for (octave_idx_type i = 0; i < a.numel (); i++) { double val = static_cast<double> (pa[i] + static_cast<octave_idx_type> (1)); if (val <= 0) ptmp[i] = nan_val; else ptmp[i] = val; } else for (octave_idx_type i = 0; i < a.numel (); i++) { double val = static_cast<double> (pa[i]); if (val <= 0) ptmp[i] = nan_val; else ptmp[i] = val; } } else { if (zero_based) for (octave_idx_type i = 0; i < a.numel (); i++) ptmp[i] = static_cast<double> (pa[i] + static_cast<octave_idx_type> (1)); else for (octave_idx_type i = 0; i < a.numel (); i++) ptmp[i] = static_cast<double> (pa[i]); } } NDArray::NDArray (const charNDArray& a) : MArray<double> (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 NDArray::fourier (int dim) const { dim_vector dv = dims (); if (dim > dv.length () || 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 double *in (fortran_vec ()); ComplexNDArray retval (dv); Complex *out (retval.fortran_vec ()); // 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 NDArray::ifourier (int dim) const { dim_vector dv = dims (); if (dim > dv.length () || 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); ComplexNDArray retval (*this); Complex *out (retval.fortran_vec ()); // Need to be careful here about the distance between fft's for (octave_idx_type k = 0; k < nloop; k++) octave_fftw::ifft (out + k * stride * n, out + k * stride * n, n, howmany, stride, dist); return retval; } ComplexNDArray NDArray::fourier2d (void) const { dim_vector dv = dims (); if (dv.length () < 2) return ComplexNDArray (); dim_vector dv2 (dv(0), dv(1)); const double *in = fortran_vec (); ComplexNDArray retval (dv); Complex *out = retval.fortran_vec (); 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 NDArray::ifourier2d (void) const { dim_vector dv = dims (); if (dv.length () < 2) return ComplexNDArray (); dim_vector dv2 (dv(0), dv(1)); ComplexNDArray retval (*this); Complex *out = retval.fortran_vec (); 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 (out + i*dist, out + i*dist, 2, dv2); return retval; } ComplexNDArray NDArray::fourierNd (void) const { dim_vector dv = dims (); int rank = dv.length (); const double *in (fortran_vec ()); ComplexNDArray retval (dv); Complex *out (retval.fortran_vec ()); octave_fftw::fftNd (in, out, rank, dv); return retval; } ComplexNDArray NDArray::ifourierNd (void) const { dim_vector dv = dims (); int rank = dv.length (); ComplexNDArray tmp (*this); Complex *in (tmp.fortran_vec ()); ComplexNDArray retval (dv); Complex *out (retval.fortran_vec ()); octave_fftw::ifftNd (in, out, rank, dv); return retval; } #else extern "C" { // Note that the original complex fft routines were not written for // double complex arguments. They have been modified by adding an // implicit double precision (a-h,o-z) statement at the beginning of // each subroutine. F77_RET_T F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); F77_RET_T F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); F77_RET_T F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); } ComplexNDArray NDArray::fourier (int dim) const { dim_vector dv = dims (); if (dim > dv.length () || dim < 0) return ComplexNDArray (); ComplexNDArray retval (dv); octave_idx_type npts = dv(dim); octave_idx_type nn = 4*npts+15; Array<Complex> wsave (dim_vector (nn, 1)); Complex *pwsave = wsave.fortran_vec (); OCTAVE_LOCAL_BUFFER (Complex, tmp, npts); octave_idx_type stride = 1; for (int i = 0; i < dim; i++) stride *= dv(i); octave_idx_type howmany = numel () / npts; howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); octave_idx_type dist = (stride == 1 ? npts : 1); F77_FUNC (zffti, ZFFTI) (npts, pwsave); for (octave_idx_type k = 0; k < nloop; k++) { for (octave_idx_type j = 0; j < howmany; j++) { octave_quit (); for (octave_idx_type i = 0; i < npts; i++) tmp[i] = elem ((i + k*npts)*stride + j*dist); F77_FUNC (zfftf, ZFFTF) (npts, tmp, pwsave); for (octave_idx_type i = 0; i < npts; i++) retval((i + k*npts)*stride + j*dist) = tmp[i]; } } return retval; } ComplexNDArray NDArray::ifourier (int dim) const { dim_vector dv = dims (); if (dim > dv.length () || dim < 0) return ComplexNDArray (); ComplexNDArray retval (dv); octave_idx_type npts = dv(dim); octave_idx_type nn = 4*npts+15; Array<Complex> wsave (dim_vector (nn, 1)); Complex *pwsave = wsave.fortran_vec (); OCTAVE_LOCAL_BUFFER (Complex, tmp, npts); octave_idx_type stride = 1; for (int i = 0; i < dim; i++) stride *= dv(i); octave_idx_type howmany = numel () / npts; howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); octave_idx_type dist = (stride == 1 ? npts : 1); F77_FUNC (zffti, ZFFTI) (npts, pwsave); for (octave_idx_type k = 0; k < nloop; k++) { for (octave_idx_type j = 0; j < howmany; j++) { octave_quit (); for (octave_idx_type i = 0; i < npts; i++) tmp[i] = elem ((i + k*npts)*stride + j*dist); F77_FUNC (zfftb, ZFFTB) (npts, tmp, pwsave); for (octave_idx_type i = 0; i < npts; i++) retval((i + k*npts)*stride + j*dist) = tmp[i] / static_cast<double> (npts); } } return retval; } ComplexNDArray NDArray::fourier2d (void) const { dim_vector dv = dims (); dim_vector dv2 (dv(0), dv(1)); int rank = 2; ComplexNDArray retval (*this); octave_idx_type stride = 1; for (int i = 0; i < rank; i++) { octave_idx_type npts = dv2(i); octave_idx_type nn = 4*npts+15; Array<Complex> wsave (dim_vector (nn, 1)); Complex *pwsave = wsave.fortran_vec (); Array<Complex> row (dim_vector (npts, 1)); Complex *prow = row.fortran_vec (); octave_idx_type howmany = numel () / npts; howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); octave_idx_type dist = (stride == 1 ? npts : 1); F77_FUNC (zffti, ZFFTI) (npts, pwsave); for (octave_idx_type k = 0; k < nloop; k++) { for (octave_idx_type j = 0; j < howmany; j++) { octave_quit (); for (octave_idx_type l = 0; l < npts; l++) prow[l] = retval((l + k*npts)*stride + j*dist); F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); for (octave_idx_type l = 0; l < npts; l++) retval((l + k*npts)*stride + j*dist) = prow[l]; } } stride *= dv2(i); } return retval; } ComplexNDArray NDArray::ifourier2d (void) const { dim_vector dv = dims (); dim_vector dv2 (dv(0), dv(1)); int rank = 2; ComplexNDArray retval (*this); octave_idx_type stride = 1; for (int i = 0; i < rank; i++) { octave_idx_type npts = dv2(i); octave_idx_type nn = 4*npts+15; Array<Complex> wsave (dim_vector (nn, 1)); Complex *pwsave = wsave.fortran_vec (); Array<Complex> row (dim_vector (npts, 1)); Complex *prow = row.fortran_vec (); octave_idx_type howmany = numel () / npts; howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); octave_idx_type dist = (stride == 1 ? npts : 1); F77_FUNC (zffti, ZFFTI) (npts, pwsave); for (octave_idx_type k = 0; k < nloop; k++) { for (octave_idx_type j = 0; j < howmany; j++) { octave_quit (); for (octave_idx_type l = 0; l < npts; l++) prow[l] = retval((l + k*npts)*stride + j*dist); F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); for (octave_idx_type l = 0; l < npts; l++) retval((l + k*npts)*stride + j*dist) = prow[l] / static_cast<double> (npts); } } stride *= dv2(i); } return retval; } ComplexNDArray NDArray::fourierNd (void) const { dim_vector dv = dims (); int rank = dv.length (); ComplexNDArray retval (*this); octave_idx_type stride = 1; for (int i = 0; i < rank; i++) { octave_idx_type npts = dv(i); octave_idx_type nn = 4*npts+15; Array<Complex> wsave (dim_vector (nn, 1)); Complex *pwsave = wsave.fortran_vec (); Array<Complex> row (dim_vector (npts, 1)); Complex *prow = row.fortran_vec (); octave_idx_type howmany = numel () / npts; howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); octave_idx_type dist = (stride == 1 ? npts : 1); F77_FUNC (zffti, ZFFTI) (npts, pwsave); for (octave_idx_type k = 0; k < nloop; k++) { for (octave_idx_type j = 0; j < howmany; j++) { octave_quit (); for (octave_idx_type l = 0; l < npts; l++) prow[l] = retval((l + k*npts)*stride + j*dist); F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); for (octave_idx_type l = 0; l < npts; l++) retval((l + k*npts)*stride + j*dist) = prow[l]; } } stride *= dv(i); } return retval; } ComplexNDArray NDArray::ifourierNd (void) const { dim_vector dv = dims (); int rank = dv.length (); ComplexNDArray retval (*this); octave_idx_type stride = 1; for (int i = 0; i < rank; i++) { octave_idx_type npts = dv(i); octave_idx_type nn = 4*npts+15; Array<Complex> wsave (dim_vector (nn, 1)); Complex *pwsave = wsave.fortran_vec (); Array<Complex> row (dim_vector (npts, 1)); Complex *prow = row.fortran_vec (); octave_idx_type howmany = numel () / npts; howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany)); octave_idx_type nloop = (stride == 1 ? 1 : numel () / npts / stride); octave_idx_type dist = (stride == 1 ? npts : 1); F77_FUNC (zffti, ZFFTI) (npts, pwsave); for (octave_idx_type k = 0; k < nloop; k++) { for (octave_idx_type j = 0; j < howmany; j++) { octave_quit (); for (octave_idx_type l = 0; l < npts; l++) prow[l] = retval((l + k*npts)*stride + j*dist); F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); for (octave_idx_type l = 0; l < npts; l++) retval((l + k*npts)*stride + j*dist) = prow[l] / static_cast<double> (npts); } } stride *= dv(i); } return retval; } #endif // unary operations boolNDArray NDArray::operator ! (void) const { if (any_element_is_nan ()) err_nan_to_logical_conversion (); return do_mx_unary_op<bool, double> (*this, mx_inline_not); } bool NDArray::any_element_is_negative (bool neg_zero) const { return (neg_zero ? test_all (xnegative_sign) : do_mx_check<double> (*this, mx_inline_any_negative)); } bool NDArray::any_element_is_positive (bool neg_zero) const { return (neg_zero ? test_all (xpositive_sign) : do_mx_check<double> (*this, mx_inline_any_positive)); } bool NDArray::any_element_is_nan (void) const { return do_mx_check<double> (*this, mx_inline_any_nan); } bool NDArray::any_element_is_inf_or_nan (void) const { return ! do_mx_check<double> (*this, mx_inline_all_finite); } bool NDArray::any_element_not_one_or_zero (void) const { return ! test_all (xis_one_or_zero); } bool NDArray::all_elements_are_zero (void) const { return test_all (xis_zero); } bool NDArray::all_elements_are_int_or_inf_or_nan (void) const { return test_all (xis_int_or_inf_or_nan); } // Return nonzero if any element of M is not an integer. Also extract // the largest and smallest values and return them in MAX_VAL and MIN_VAL. bool NDArray::all_integers (double& max_val, double& min_val) const { octave_idx_type nel = numel (); if (nel > 0) { max_val = elem (0); min_val = elem (0); } else return false; for (octave_idx_type i = 0; i < nel; i++) { double val = elem (i); if (val > max_val) max_val = val; if (val < min_val) min_val = val; if (! xisinteger (val)) return false; } return true; } bool NDArray::all_integers (void) const { return test_all (xisinteger); } bool NDArray::too_large_for_float (void) const { return test_any (xtoo_large_for_float); } // FIXME: this is not quite the right thing. boolNDArray NDArray::all (int dim) const { return do_mx_red_op<bool, double> (*this, dim, mx_inline_all); } boolNDArray NDArray::any (int dim) const { return do_mx_red_op<bool, double> (*this, dim, mx_inline_any); } NDArray NDArray::cumprod (int dim) const { return do_mx_cum_op<double, double> (*this, dim, mx_inline_cumprod); } NDArray NDArray::cumsum (int dim) const { return do_mx_cum_op<double, double> (*this, dim, mx_inline_cumsum); } NDArray NDArray::prod (int dim) const { return do_mx_red_op<double, double> (*this, dim, mx_inline_prod); } NDArray NDArray::sum (int dim) const { return do_mx_red_op<double, double> (*this, dim, mx_inline_sum); } NDArray NDArray::xsum (int dim) const { return do_mx_red_op<double, double> (*this, dim, mx_inline_xsum); } NDArray NDArray::sumsq (int dim) const { return do_mx_red_op<double, double> (*this, dim, mx_inline_sumsq); } NDArray NDArray::max (int dim) const { return do_mx_minmax_op<double> (*this, dim, mx_inline_max); } NDArray NDArray::max (Array<octave_idx_type>& idx_arg, int dim) const { return do_mx_minmax_op<double> (*this, idx_arg, dim, mx_inline_max); } NDArray NDArray::min (int dim) const { return do_mx_minmax_op<double> (*this, dim, mx_inline_min); } NDArray NDArray::min (Array<octave_idx_type>& idx_arg, int dim) const { return do_mx_minmax_op<double> (*this, idx_arg, dim, mx_inline_min); } NDArray NDArray::cummax (int dim) const { return do_mx_cumminmax_op<double> (*this, dim, mx_inline_cummax); } NDArray NDArray::cummax (Array<octave_idx_type>& idx_arg, int dim) const { return do_mx_cumminmax_op<double> (*this, idx_arg, dim, mx_inline_cummax); } NDArray NDArray::cummin (int dim) const { return do_mx_cumminmax_op<double> (*this, dim, mx_inline_cummin); } NDArray NDArray::cummin (Array<octave_idx_type>& idx_arg, int dim) const { return do_mx_cumminmax_op<double> (*this, idx_arg, dim, mx_inline_cummin); } NDArray NDArray::diff (octave_idx_type order, int dim) const { return do_mx_diff_op<double> (*this, dim, order, mx_inline_diff); } NDArray NDArray::concat (const NDArray& rb, const Array<octave_idx_type>& ra_idx) { if (rb.numel () > 0) insert (rb, ra_idx); return *this; } ComplexNDArray NDArray::concat (const ComplexNDArray& rb, const Array<octave_idx_type>& ra_idx) { ComplexNDArray retval (*this); if (rb.numel () > 0) retval.insert (rb, ra_idx); return retval; } charNDArray NDArray::concat (const charNDArray& rb, const Array<octave_idx_type>& ra_idx) { charNDArray retval (dims ()); octave_idx_type nel = numel (); for (octave_idx_type i = 0; i < nel; i++) { double d = elem (i); if (xisnan (d)) (*current_liboctave_error_handler) ("invalid conversion from NaN to character"); octave_idx_type ival = NINTbig (d); if (ival < 0 || ival > std::numeric_limits<unsigned char>::max ()) // FIXME: is there something better to do? Should we warn the user? ival = 0; retval.elem (i) = static_cast<char>(ival); } if (rb.is_empty ()) return retval; retval.insert (rb, ra_idx); return retval; } NDArray real (const ComplexNDArray& a) { return do_mx_unary_op<double, Complex> (a, mx_inline_real); } NDArray imag (const ComplexNDArray& a) { return do_mx_unary_op<double, Complex> (a, mx_inline_imag); } NDArray& NDArray::insert (const NDArray& a, octave_idx_type r, octave_idx_type c) { Array<double>::insert (a, r, c); return *this; } NDArray& NDArray::insert (const NDArray& a, const Array<octave_idx_type>& ra_idx) { Array<double>::insert (a, ra_idx); return *this; } NDArray NDArray::abs (void) const { return do_mx_unary_map<double, double, std::abs> (*this); } boolNDArray NDArray::isnan (void) const { return do_mx_unary_map<bool, double, xisnan> (*this); } boolNDArray NDArray::isinf (void) const { return do_mx_unary_map<bool, double, xisinf> (*this); } boolNDArray NDArray::isfinite (void) const { return do_mx_unary_map<bool, double, xfinite> (*this); } void NDArray::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 NDArray::compute_index (Array<octave_idx_type>& ra_idx, const dim_vector& dimensions) { return ::compute_index (ra_idx, dimensions); } NDArray NDArray::diag (octave_idx_type k) const { return MArray<double>::diag (k); } NDArray NDArray::diag (octave_idx_type m, octave_idx_type n) const { return MArray<double>::diag (m, n); } // This contains no information on the array structure !!! std::ostream& operator << (std::ostream& os, const NDArray& a) { octave_idx_type nel = a.numel (); for (octave_idx_type i = 0; i < nel; i++) { os << " "; octave_write_double (os, a.elem (i)); os << "\n"; } return os; } std::istream& operator >> (std::istream& is, NDArray& a) { octave_idx_type nel = a.numel (); if (nel > 0) { double tmp; for (octave_idx_type i = 0; i < nel; i++) { tmp = octave_read_value<double> (is); if (is) a.elem (i) = tmp; else return is; } } return is; } MINMAX_FCNS (NDArray, double) NDS_CMP_OPS (NDArray, double) NDS_BOOL_OPS (NDArray, double) SND_CMP_OPS (double, NDArray) SND_BOOL_OPS (double, NDArray) NDND_CMP_OPS (NDArray, NDArray) NDND_BOOL_OPS (NDArray, NDArray) BSXFUN_STDOP_DEFS_MXLOOP (NDArray) BSXFUN_STDREL_DEFS_MXLOOP (NDArray) BSXFUN_OP_DEF_MXLOOP (pow, NDArray, mx_inline_pow) BSXFUN_OP2_DEF_MXLOOP (pow, ComplexNDArray, ComplexNDArray, NDArray, mx_inline_pow) BSXFUN_OP2_DEF_MXLOOP (pow, ComplexNDArray, NDArray, ComplexNDArray, mx_inline_pow)