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include octave-config.h in public header files * mk-opts.pl, mkbuiltins, mk-ops.awk, sparse-mk-ops.awk: Emit "#include octave-config.h" statement for generated header files. * build-env.h, builtins.h, Cell.h, base-text-renderer.h, c-file-ptr-stream.h, cdisplay.h, comment-list.h, data.h, debug.h, defaults.in.h, defun-dld.h, defun-int.h, defun.h, dirfns.h, display.h, dynamic-ld.h, error.h, errwarn.h, event-queue.h, file-io.h, ft-text-renderer.h, gl-render.h, gl2ps-print.h, graphics.in.h, gripes.h, help.h, hook-fcn.h, input.h, jit-ir.h, jit-typeinfo.h, jit-util.h, load-path.h, load-save.h, ls-ascii-helper.h, ls-hdf5.h, ls-mat-ascii.h, ls-mat4.h, ls-mat5.h, ls-oct-binary.h, ls-oct-text.h, ls-utils.h, mex.h, mexproto.h, mxarray.in.h, oct-errno.h, oct-fstrm.h, oct-handle.h, oct-hdf5-types.h, oct-hdf5.h, oct-hist.h, oct-iostrm.h, oct-lvalue.h, oct-map.h, oct-obj.h, oct-opengl.h, oct-prcstrm.h, oct-procbuf.h, oct-stdstrm.h, oct-stream.h, oct-strstrm.h, oct.h, octave-default-image.h, octave-link.h, octave-preserve-stream-state.h, pager.h, pr-output.h, procstream.h, profiler.h, pt-jit.h, sighandlers.h, siglist.h, sparse-xdiv.h, sparse-xpow.h, symtab.h, sysdep.h, text-renderer.h, toplev.h, txt-eng.h, utils.h, variables.h, workspace-element.h, xdiv.h, xnorm.h, xpow.h, zfstream.h, oct-qhull.h, ov-base-diag.h, ov-base-int.h, ov-base-mat.h, ov-base-scalar.h, ov-base-sparse.h, ov-base.h, ov-bool-mat.h, ov-bool-sparse.h, ov-bool.h, ov-builtin.h, ov-cell.h, ov-ch-mat.h, ov-class.h, ov-classdef.h, ov-colon.h, ov-complex.h, ov-cs-list.h, ov-cx-diag.h, ov-cx-mat.h, ov-cx-sparse.h, ov-dld-fcn.h, ov-fcn-handle.h, ov-fcn-inline.h, ov-fcn.h, ov-float.h, ov-flt-complex.h, ov-flt-cx-diag.h, ov-flt-cx-mat.h, ov-flt-re-diag.h, ov-flt-re-mat.h, ov-int-traits.h, ov-int16.h, ov-int32.h, ov-int64.h, ov-int8.h, ov-intx.h, ov-java.h, ov-lazy-idx.h, ov-mex-fcn.h, ov-null-mat.h, ov-oncleanup.h, ov-perm.h, ov-range.h, ov-re-diag.h, ov-re-mat.h, ov-re-sparse.h, ov-scalar.h, ov-str-mat.h, ov-struct.h, ov-type-conv.h, ov-typeinfo.h, ov-uint16.h, ov-uint32.h, ov-uint64.h, ov-uint8.h, ov-usr-fcn.h, ov.h, ovl.h, octave.h, op-int.h, ops.h, options-usage.h, lex.h, parse.h, pt-all.h, pt-arg-list.h, pt-array-list.h, pt-assign.h, pt-binop.h, pt-bp.h, pt-cbinop.h, pt-cell.h, pt-check.h, pt-classdef.h, pt-cmd.h, pt-colon.h, pt-const.h, pt-decl.h, pt-eval.h, pt-except.h, pt-exp.h, pt-fcn-handle.h, pt-funcall.h, pt-id.h, pt-idx.h, pt-jump.h, pt-loop.h, pt-mat.h, pt-misc.h, pt-pr-code.h, pt-select.h, pt-stmt.h, pt-unop.h, pt-walk.h, pt.h, token.h, version.in.h, Array-util.h, Array.h, CColVector.h, CDiagMatrix.h, CMatrix.h, CNDArray.h, CRowVector.h, CSparse.h, DiagArray2.h, MArray.h, MDiagArray2.h, MSparse.h, Matrix.h, MatrixType.h, PermMatrix.h, Range.h, Sparse.h, boolMatrix.h, boolNDArray.h, boolSparse.h, chMatrix.h, chNDArray.h, dColVector.h, dDiagMatrix.h, dMatrix.h, dNDArray.h, dRowVector.h, dSparse.h, dim-vector.h, fCColVector.h, fCDiagMatrix.h, fCMatrix.h, fCNDArray.h, fCRowVector.h, fColVector.h, fDiagMatrix.h, fMatrix.h, fNDArray.h, fRowVector.h, idx-vector.h, int16NDArray.h, int32NDArray.h, int64NDArray.h, int8NDArray.h, intNDArray.h, uint16NDArray.h, uint32NDArray.h, uint64NDArray.h, uint8NDArray.h, f77-fcn.h, lo-error.h, quit.h, CmplxAEPBAL.h, CmplxCHOL.h, CmplxGEPBAL.h, CmplxHESS.h, CmplxLU.h, CmplxQR.h, CmplxQRP.h, CmplxSCHUR.h, CmplxSVD.h, CollocWt.h, DAE.h, DAEFunc.h, DAERT.h, DAERTFunc.h, DASPK.h, DASRT.h, DASSL.h, DET.h, EIG.h, LSODE.h, ODE.h, ODEFunc.h, ODES.h, ODESFunc.h, Quad.h, base-aepbal.h, base-dae.h, base-de.h, base-lu.h, base-min.h, base-qr.h, bsxfun-decl.h, bsxfun.h, dbleAEPBAL.h, dbleCHOL.h, dbleGEPBAL.h, dbleHESS.h, dbleLU.h, dbleQR.h, dbleQRP.h, dbleSCHUR.h, dbleSVD.h, eigs-base.h, fCmplxAEPBAL.h, fCmplxCHOL.h, fCmplxGEPBAL.h, fCmplxHESS.h, fCmplxLU.h, fCmplxQR.h, fCmplxQRP.h, fCmplxSCHUR.h, fCmplxSVD.h, fEIG.h, floatAEPBAL.h, floatCHOL.h, floatGEPBAL.h, floatHESS.h, floatLU.h, floatQR.h, floatQRP.h, floatSCHUR.h, floatSVD.h, lo-mappers.h, lo-specfun.h, oct-convn.h, oct-fftw.h, oct-norm.h, oct-rand.h, oct-spparms.h, randgamma.h, randmtzig.h, randpoisson.h, sparse-chol.h, sparse-dmsolve.h, sparse-lu.h, sparse-qr.h, Sparse-diag-op-defs.h, Sparse-op-decls.h, Sparse-op-defs.h, Sparse-perm-op-defs.h, mx-base.h, mx-defs.h, mx-ext.h, mx-op-decl.h, mx-op-defs.h, dir-ops.h, file-ops.h, file-stat.h, lo-sysdep.h, mach-info.h, oct-env.h, oct-group.h, oct-openmp.h, oct-passwd.h, oct-syscalls.h, oct-time.h, oct-uname.h, pathlen.h, sysdir.h, syswait.h, action-container.h, base-list.h, byte-swap.h, caseless-str.h, cmd-edit.h, cmd-hist.h, data-conv.h, functor.h, glob-match.h, lo-array-errwarn.h, lo-array-gripes.h, lo-cutils.h, lo-ieee.h, lo-macros.h, lo-math.h, lo-regexp.h, lo-traits.h, lo-utils.h, oct-alloc.h, oct-base64.h, oct-binmap.h, oct-cmplx.h, oct-glob.h, oct-inttypes.h, oct-locbuf.h, oct-mutex.h, oct-refcount.h, oct-rl-edit.h, oct-rl-hist.h, oct-shlib.h, oct-sort.h, oct-sparse.h, pathsearch.h, singleton-cleanup.h, sparse-sort.h, sparse-util.h, statdefs.h, str-vec.h, sun-utils.h, unwind-prot.h, url-transfer.h: Include octave-config.h.
author John W. Eaton <jwe@octave.org>
date Wed, 10 Feb 2016 14:25:53 -0500
parents 538b57866b90
children f08ae27289e4
line wrap: on
line source

/*

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/>.

*/

#if ! defined (octave_CMatrix_h)
#define octave_CMatrix_h 1

#include "octave-config.h"

#include "MArray.h"
#include "MDiagArray2.h"
#include "MatrixType.h"
#include "CNDArray.h"

#include "mx-defs.h"
#include "mx-op-decl.h"
#include "oct-cmplx.h"
#include "DET.h"

class
OCTAVE_API
ComplexMatrix : public ComplexNDArray
{
public:

  typedef ComplexColumnVector column_vector_type;
  typedef ComplexRowVector row_vector_type;

  typedef void (*solve_singularity_handler) (double rcon);

  ComplexMatrix (void) : ComplexNDArray () { }

  ComplexMatrix (octave_idx_type r, octave_idx_type c)
    : ComplexNDArray (dim_vector (r, c)) { }

  ComplexMatrix (octave_idx_type r, octave_idx_type c, const Complex& val)
    : ComplexNDArray (dim_vector (r, c), val) { }

  ComplexMatrix (const dim_vector& dv) : ComplexNDArray (dv.redim (2)) { }

  ComplexMatrix (const dim_vector& dv, const Complex& val)
    : ComplexNDArray (dv.redim (2), val) { }

  ComplexMatrix (const ComplexMatrix& a) : ComplexNDArray (a) { }

  template <typename U>
  ComplexMatrix (const MArray<U>& a) : ComplexNDArray (a.as_matrix ()) { }

  template <typename U>
  ComplexMatrix (const Array<U>& a) : ComplexNDArray (a.as_matrix ()) { }

  ComplexMatrix (const Matrix& re, const Matrix& im);

  explicit ComplexMatrix (const Matrix& a);

  explicit ComplexMatrix (const RowVector& rv);

  explicit ComplexMatrix (const ColumnVector& cv);

  explicit ComplexMatrix (const DiagMatrix& a);

  explicit ComplexMatrix (const MDiagArray2<double>& a);

  explicit ComplexMatrix (const DiagArray2<double>& a);

  explicit ComplexMatrix (const ComplexRowVector& rv);

  explicit ComplexMatrix (const ComplexColumnVector& cv);

  explicit ComplexMatrix (const ComplexDiagMatrix& a);

  explicit ComplexMatrix (const MDiagArray2<Complex>& a);

  explicit ComplexMatrix (const DiagArray2<Complex>& a);

  explicit ComplexMatrix (const boolMatrix& a);

  explicit ComplexMatrix (const charMatrix& a);

  bool operator == (const ComplexMatrix& a) const;
  bool operator != (const ComplexMatrix& a) const;

  bool is_hermitian (void) const;

  // destructive insert/delete/reorder operations

  ComplexMatrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c);
  ComplexMatrix& insert (const RowVector& a,
                         octave_idx_type r, octave_idx_type c);
  ComplexMatrix& insert (const ColumnVector& a,
                         octave_idx_type r, octave_idx_type c);
  ComplexMatrix& insert (const DiagMatrix& a,
                         octave_idx_type r, octave_idx_type c);

  ComplexMatrix& insert (const ComplexMatrix& a,
                         octave_idx_type r, octave_idx_type c);
  ComplexMatrix& insert (const ComplexRowVector& a,
                         octave_idx_type r, octave_idx_type c);
  ComplexMatrix& insert (const ComplexColumnVector& a,
                         octave_idx_type r, octave_idx_type c);
  ComplexMatrix& insert (const ComplexDiagMatrix& a,
                         octave_idx_type r, octave_idx_type c);

  ComplexMatrix& fill (double val);
  ComplexMatrix& fill (const Complex& val);
  ComplexMatrix& fill (double val,
                       octave_idx_type r1, octave_idx_type c1,
                       octave_idx_type r2, octave_idx_type c2);
  ComplexMatrix& fill (const Complex& val,
                       octave_idx_type r1, octave_idx_type c1,
                       octave_idx_type r2, octave_idx_type c2);

  ComplexMatrix append (const Matrix& a) const;
  ComplexMatrix append (const RowVector& a) const;
  ComplexMatrix append (const ColumnVector& a) const;
  ComplexMatrix append (const DiagMatrix& a) const;

  ComplexMatrix append (const ComplexMatrix& a) const;
  ComplexMatrix append (const ComplexRowVector& a) const;
  ComplexMatrix append (const ComplexColumnVector& a) const;
  ComplexMatrix append (const ComplexDiagMatrix& a) const;

  ComplexMatrix stack (const Matrix& a) const;
  ComplexMatrix stack (const RowVector& a) const;
  ComplexMatrix stack (const ColumnVector& a) const;
  ComplexMatrix stack (const DiagMatrix& a) const;

  ComplexMatrix stack (const ComplexMatrix& a) const;
  ComplexMatrix stack (const ComplexRowVector& a) const;
  ComplexMatrix stack (const ComplexColumnVector& a) const;
  ComplexMatrix stack (const ComplexDiagMatrix& a) const;

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

  friend OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);

  // resize is the destructive equivalent for this one

  ComplexMatrix extract (octave_idx_type r1, octave_idx_type c1,
                         octave_idx_type r2, octave_idx_type c2) const;

  ComplexMatrix extract_n (octave_idx_type r1, octave_idx_type c1,
                           octave_idx_type nr, octave_idx_type nc) const;

  // extract row or column i.

  ComplexRowVector row (octave_idx_type i) const;

  ComplexColumnVector column (octave_idx_type i) const;

  void resize (octave_idx_type nr, octave_idx_type nc,
               const Complex& rfv = Complex (0))
  {
    MArray<Complex>::resize (dim_vector (nr, nc), rfv);
  }

private:
  ComplexMatrix tinverse (MatrixType &mattype, octave_idx_type& info,
                          double& rcon, int force, int calc_cond) const;

  ComplexMatrix finverse (MatrixType &mattype, octave_idx_type& info,
                          double& rcon, int force, int calc_cond) const;

public:
  ComplexMatrix inverse (void) const;
  ComplexMatrix inverse (octave_idx_type& info) const;
  ComplexMatrix inverse (octave_idx_type& info, double& rcon, int force = 0,
                         int calc_cond = 1) const;

  ComplexMatrix inverse (MatrixType &mattype) const;
  ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info) const;
  ComplexMatrix inverse (MatrixType &mattype, octave_idx_type& info,
                         double& rcon, int force = 0,
                         int calc_cond = 1) const;

  ComplexMatrix pseudo_inverse (double tol = 0.0) const;

  ComplexMatrix fourier (void) const;
  ComplexMatrix ifourier (void) const;

  ComplexMatrix fourier2d (void) const;
  ComplexMatrix ifourier2d (void) const;

  ComplexDET determinant (void) const;
  ComplexDET determinant (octave_idx_type& info) const;
  ComplexDET determinant (octave_idx_type& info, double& rcon,
                          int calc_cond = 1) const;
  ComplexDET determinant (MatrixType &mattype, octave_idx_type& info,
                          double& rcon, int calc_cond = 1) const;

  double rcond (void) const;
  double rcond (MatrixType &mattype) const;

private:
  // Upper triangular matrix solvers
  ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b,
                         octave_idx_type& info, double& rcon,
                         solve_singularity_handler sing_handler,
                         bool calc_cond = false,
                         blas_trans_type transt = blas_no_trans) const;

  // Lower triangular matrix solvers
  ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b,
                         octave_idx_type& info, double& rcon,
                         solve_singularity_handler sing_handler,
                         bool calc_cond = false,
                         blas_trans_type transt = blas_no_trans) const;

  // Full matrix solvers (umfpack/cholesky)
  ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b,
                        octave_idx_type& info, double& rcon,
                        solve_singularity_handler sing_handler,
                        bool calc_cond = false) const;

public:
  // Generic interface to solver with no probing of type
  ComplexMatrix solve (MatrixType &typ, const Matrix& b) const;
  ComplexMatrix solve (MatrixType &typ, const Matrix& b,
                       octave_idx_type& info) const;
  ComplexMatrix solve (MatrixType &typ, const Matrix& b,
                       octave_idx_type& info, double& rcon) const;
  ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info,
                       double& rcon, solve_singularity_handler sing_handler,
                       bool singular_fallback = true,
                       blas_trans_type transt = blas_no_trans) const;

  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const;
  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
                       octave_idx_type& info) const;
  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
                       octave_idx_type& info, double& rcon) const;
  ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b,
                       octave_idx_type& info, double& rcon,
                       solve_singularity_handler sing_handler,
                       bool singular_fallback = true,
                       blas_trans_type transt = blas_no_trans) const;

  ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const;
  ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
                             octave_idx_type& info) const;
  ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
                             octave_idx_type& info, double& rcon) const;
  ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b,
                             octave_idx_type& info, double& rcon,
                             solve_singularity_handler sing_handler,
                             blas_trans_type transt = blas_no_trans) const;

  ComplexColumnVector solve (MatrixType &typ,
                             const ComplexColumnVector& b) const;
  ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
                             octave_idx_type& info) const;
  ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
                             octave_idx_type& info, double& rcon) const;
  ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b,
                             octave_idx_type& info, double& rcon,
                             solve_singularity_handler sing_handler,
                             blas_trans_type transt = blas_no_trans) const;

  // Generic interface to solver with probing of type
  ComplexMatrix solve (const Matrix& b) const;
  ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const;
  ComplexMatrix solve (const Matrix& b, octave_idx_type& info,
                       double& rcon) const;
  ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcon,
                       solve_singularity_handler sing_handler,
                       blas_trans_type transt = blas_no_trans) const;

  ComplexMatrix solve (const ComplexMatrix& b) const;
  ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const;
  ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
                       double& rcon) const;
  ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info,
                       double& rcon,
                       solve_singularity_handler sing_handler,
                       blas_trans_type transt = blas_no_trans) const;

  ComplexColumnVector solve (const ColumnVector& b) const;
  ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const;
  ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
                             double& rcon) const;
  ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info,
                             double& rcon,
                             solve_singularity_handler sing_handler,
                             blas_trans_type transt = blas_no_trans) const;

  ComplexColumnVector solve (const ComplexColumnVector& b) const;
  ComplexColumnVector solve (const ComplexColumnVector& b,
                             octave_idx_type& info) const;
  ComplexColumnVector solve (const ComplexColumnVector& b,
                             octave_idx_type& info,
                             double& rcon) const;
  ComplexColumnVector solve (const ComplexColumnVector& b,
                             octave_idx_type& info,
                             double& rcon,
                             solve_singularity_handler sing_handler,
                             blas_trans_type transt = blas_no_trans) const;

  ComplexMatrix lssolve (const Matrix& b) const;
  ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info) const;
  ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info,
                         octave_idx_type& rank) const;
  ComplexMatrix lssolve (const Matrix& b, octave_idx_type& info,
                         octave_idx_type& rank, double& rcon) const;

  ComplexMatrix lssolve (const ComplexMatrix& b) const;
  ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const;
  ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
                         octave_idx_type& rank) const;
  ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info,
                         octave_idx_type& rank, double& rcon) const;

  ComplexColumnVector lssolve (const ColumnVector& b) const;
  ComplexColumnVector lssolve (const ColumnVector& b,
                               octave_idx_type& info) const;
  ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
                               octave_idx_type& rank) const;
  ComplexColumnVector lssolve (const ColumnVector& b, octave_idx_type& info,
                               octave_idx_type& rank, double& rcon) const;

  ComplexColumnVector lssolve (const ComplexColumnVector& b) const;
  ComplexColumnVector lssolve (const ComplexColumnVector& b,
                               octave_idx_type& info) const;
  ComplexColumnVector lssolve (const ComplexColumnVector& b,
                               octave_idx_type& info,
                               octave_idx_type& rank) const;
  ComplexColumnVector lssolve (const ComplexColumnVector& b,
                               octave_idx_type& info,
                               octave_idx_type& rank, double& rcon) const;

  // matrix by diagonal matrix -> matrix operations

  ComplexMatrix& operator += (const DiagMatrix& a);
  ComplexMatrix& operator -= (const DiagMatrix& a);

  ComplexMatrix& operator += (const ComplexDiagMatrix& a);
  ComplexMatrix& operator -= (const ComplexDiagMatrix& a);

  // matrix by matrix -> matrix operations

  ComplexMatrix& operator += (const Matrix& a);
  ComplexMatrix& operator -= (const Matrix& a);

  // other operations

  boolMatrix all (int dim = -1) const;
  boolMatrix any (int dim = -1) const;

  ComplexMatrix cumprod (int dim = -1) const;
  ComplexMatrix cumsum (int dim = -1) const;
  ComplexMatrix prod (int dim = -1) const;
  ComplexMatrix sum (int dim = -1) const;
  ComplexMatrix sumsq (int dim = -1) const;
  Matrix abs (void) const;

  ComplexMatrix diag (octave_idx_type k = 0) const;

  ComplexDiagMatrix diag (octave_idx_type m, octave_idx_type n) const;

  bool row_is_real_only (octave_idx_type) const;
  bool column_is_real_only (octave_idx_type) const;

  ComplexColumnVector row_min (void) const;
  ComplexColumnVector row_max (void) const;

  ComplexColumnVector row_min (Array<octave_idx_type>& index) const;
  ComplexColumnVector row_max (Array<octave_idx_type>& index) const;

  ComplexRowVector column_min (void) const;
  ComplexRowVector column_max (void) const;

  ComplexRowVector column_min (Array<octave_idx_type>& index) const;
  ComplexRowVector column_max (Array<octave_idx_type>& index) const;

  // i/o

  friend OCTAVE_API std::ostream& operator << (std::ostream& os,
                                               const ComplexMatrix& a);
  friend OCTAVE_API std::istream& operator >> (std::istream& is,
                                               ComplexMatrix& a);
};

extern OCTAVE_API ComplexMatrix conj (const ComplexMatrix& a);

// column vector by row vector -> matrix operations

extern OCTAVE_API ComplexMatrix
operator * (const ColumnVector& a, const ComplexRowVector& b);

extern OCTAVE_API ComplexMatrix
operator * (const ComplexColumnVector& a, const RowVector& b);

extern OCTAVE_API ComplexMatrix
operator * (const ComplexColumnVector& a, const ComplexRowVector& b);

extern OCTAVE_API ComplexMatrix
Givens (const Complex&, const Complex&);

extern OCTAVE_API ComplexMatrix
Sylvester (const ComplexMatrix&, const ComplexMatrix&, const ComplexMatrix&);

extern OCTAVE_API ComplexMatrix
xgemm (const ComplexMatrix& a, const ComplexMatrix& b,
       blas_trans_type transa = blas_no_trans,
       blas_trans_type transb = blas_no_trans);

extern OCTAVE_API ComplexMatrix operator * (const Matrix&,
                                            const ComplexMatrix&);
extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
                                            const Matrix&);
extern OCTAVE_API ComplexMatrix operator * (const ComplexMatrix&,
                                            const ComplexMatrix&);

extern OCTAVE_API ComplexMatrix min (const Complex& c, const ComplexMatrix& m);
extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& m, const Complex& c);
extern OCTAVE_API ComplexMatrix min (const ComplexMatrix& a,
                                     const ComplexMatrix& b);

extern OCTAVE_API ComplexMatrix max (const Complex& c, const ComplexMatrix& m);
extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& m, const Complex& c);
extern OCTAVE_API ComplexMatrix max (const ComplexMatrix& a,
                                     const ComplexMatrix& b);

extern OCTAVE_API ComplexMatrix linspace (const ComplexColumnVector& x1,
                                          const ComplexColumnVector& x2,
                                          octave_idx_type n);


MS_CMP_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)
MS_BOOL_OP_DECLS (ComplexMatrix, Complex, OCTAVE_API)

SM_CMP_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)
SM_BOOL_OP_DECLS (Complex, ComplexMatrix, OCTAVE_API)

MM_CMP_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)
MM_BOOL_OP_DECLS (ComplexMatrix, ComplexMatrix, OCTAVE_API)

MARRAY_FORWARD_DEFS (MArray, ComplexMatrix, Complex)

#endif