CMatrix.cc File Reference

#include <algorithm>
#include <complex>
#include <istream>
#include <limits>
#include <ostream>
#include "Array-util.h"
#include "CDiagMatrix.h"
#include "CMatrix.h"
#include "CNDArray.h"
#include "CRowVector.h"
#include "DET.h"
#include "boolMatrix.h"
#include "chMatrix.h"
#include "chol.h"
#include "dDiagMatrix.h"
#include "dMatrix.h"
#include "dRowVector.h"
#include "lo-blas-proto.h"
#include "lo-error.h"
#include "lo-ieee.h"
#include "lo-lapack-proto.h"
#include "lo-mappers.h"
#include "lo-utils.h"
#include "mx-cm-dm.h"
#include "mx-cm-s.h"
#include "mx-dm-cm.h"
#include "mx-inlines.cc"
#include "mx-op-defs.h"
#include "oct-cmplx.h"
#include "oct-fftw.h"
#include "oct-locbuf.h"
#include "oct-norm.h"
#include "schur.h"
#include "svd.h"

Include dependency graph for CMatrix.cc:

Go to the source code of this file.

Macros
#define	EMPTY_RETURN_CHECK(T)

Functions
static const Complex	Complex_NaN_result (octave::numeric_limits< double >::NaN(), octave::numeric_limits< double >::NaN())
ComplexMatrix	conj (const ComplexMatrix &a)
static char	get_blas_trans_arg (bool trans, bool conj)
ComplexMatrix	Givens (const Complex &x, const Complex &y)
ComplexMatrix	linspace (const ComplexColumnVector &x1, const ComplexColumnVector &x2, octave_idx_type n)
ComplexMatrix	max (const Complex &c, const ComplexMatrix &m)
ComplexMatrix	max (const ComplexMatrix &a, const ComplexMatrix &b)
ComplexMatrix	max (const ComplexMatrix &m, const Complex &c)
ComplexMatrix	min (const Complex &c, const ComplexMatrix &m)
ComplexMatrix	min (const ComplexMatrix &a, const ComplexMatrix &b)
ComplexMatrix	min (const ComplexMatrix &m, const Complex &c)
boolMatrix	mx_el_and (const Complex &s, const ComplexMatrix &m)
boolMatrix	mx_el_and (const ComplexMatrix &m, const Complex &s)
boolMatrix	mx_el_and (const ComplexMatrix &m1, const ComplexMatrix &m2)
boolMatrix	mx_el_eq (const Complex &s, const ComplexMatrix &m)
boolMatrix	mx_el_eq (const ComplexMatrix &m, const Complex &s)
boolMatrix	mx_el_eq (const ComplexMatrix &m1, const ComplexMatrix &m2)
boolMatrix	mx_el_ge (const Complex &s, const ComplexMatrix &m)
boolMatrix	mx_el_ge (const ComplexMatrix &m, const Complex &s)
boolMatrix	mx_el_ge (const ComplexMatrix &m1, const ComplexMatrix &m2)
boolMatrix	mx_el_gt (const Complex &s, const ComplexMatrix &m)
boolMatrix	mx_el_gt (const ComplexMatrix &m, const Complex &s)
boolMatrix	mx_el_gt (const ComplexMatrix &m1, const ComplexMatrix &m2)
boolMatrix	mx_el_le (const Complex &s, const ComplexMatrix &m)
boolMatrix	mx_el_le (const ComplexMatrix &m, const Complex &s)
boolMatrix	mx_el_le (const ComplexMatrix &m1, const ComplexMatrix &m2)
boolMatrix	mx_el_lt (const Complex &s, const ComplexMatrix &m)
boolMatrix	mx_el_lt (const ComplexMatrix &m, const Complex &s)
boolMatrix	mx_el_lt (const ComplexMatrix &m1, const ComplexMatrix &m2)
boolMatrix	mx_el_ne (const Complex &s, const ComplexMatrix &m)
boolMatrix	mx_el_ne (const ComplexMatrix &m, const Complex &s)
boolMatrix	mx_el_ne (const ComplexMatrix &m1, const ComplexMatrix &m2)
boolMatrix	mx_el_or (const Complex &s, const ComplexMatrix &m)
boolMatrix	mx_el_or (const ComplexMatrix &m, const Complex &s)
boolMatrix	mx_el_or (const ComplexMatrix &m1, const ComplexMatrix &m2)
static double	norm1 (const ComplexMatrix &a)
ComplexMatrix	operator* (const ColumnVector &v, const ComplexRowVector &a)
ComplexMatrix	operator* (const ComplexColumnVector &a, const RowVector &b)
ComplexMatrix	operator* (const ComplexColumnVector &v, const ComplexRowVector &a)
ComplexMatrix	operator* (const ComplexMatrix &a, const ComplexMatrix &b)
ComplexMatrix	operator* (const ComplexMatrix &m, const Matrix &a)
ComplexMatrix	operator* (const Matrix &m, const ComplexMatrix &a)
std::ostream &	operator<< (std::ostream &os, const ComplexMatrix &a)
std::istream &	operator>> (std::istream &is, ComplexMatrix &a)
ComplexMatrix	Sylvester (const ComplexMatrix &a, const ComplexMatrix &b, const ComplexMatrix &c)
ComplexMatrix	xgemm (const ComplexMatrix &a, const ComplexMatrix &b, blas_trans_type transa, blas_trans_type transb)

Macro Definition Documentation

EMPTY_RETURN_CHECK

#define EMPTY_RETURN_CHECK

(

T

)

Value:

  if (nr == 0 || nc == 0)                       \
    return T (nr, nc);

Definition at line 3471 of file CMatrix.cc.

Function Documentation

Complex_NaN_result()

static const Complex Complex_NaN_result ( octave::numeric_limits< double >  ::NaN(), octave::numeric_limits< double >  ::NaN()  )

static

Referenced by ComplexMatrix::column_max(), ComplexMatrix::column_min(), ComplexMatrix::row_max(), and ComplexMatrix::row_min().

conj()

ComplexMatrix conj

(

const ComplexMatrix &

a

)

Definition at line 675 of file CMatrix.cc.

References Array< Complex >::cols(), ComplexMatrix::conj, Array< Complex >::elem(), Array< Complex >::issquare(), and Array< Complex >::rows().

Referenced by get_blas_trans_arg(), Givens(), and ComplexMatrix::hermitian().

get_blas_trans_arg()

static char get_blas_trans_arg ( bool  trans, bool  conj  )

inlinestatic

Definition at line 3333 of file CMatrix.cc.

References conj().

Referenced by xgemm().

Givens()

ComplexMatrix Givens	(	const Complex &	x,
		const Complex &	y
	)

Definition at line 3221 of file CMatrix.cc.

References conj(), Array< T, Alloc >::elem(), F77_CONST_DBLE_CMPLX_ARG, F77_DBLE_CMPLX_ARG, F77_FUNC(), and x.

Referenced by Fgivens().

linspace()

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

Definition at line 3623 of file CMatrix.cc.

References Array< T, Alloc >::clear(), Array< T, Alloc >::numel(), and Array< T, Alloc >::xelem().

Referenced by do_linspace().

max() [1/3]

ComplexMatrix max	(	const Complex &	c,
		const ComplexMatrix &	m
	)

Definition at line 3548 of file CMatrix.cc.

References Array< T, Alloc >::columns(), EMPTY_RETURN_CHECK, octave::math::max(), and Array< T, Alloc >::rows().

Referenced by ComplexMatrix::lssolve(), max(), norm1(), and ComplexMatrix::pseudo_inverse().

max() [2/3]

ComplexMatrix max	(	const ComplexMatrix &	a,
		const ComplexMatrix &	b
	)

Definition at line 3574 of file CMatrix.cc.

References Array< T, Alloc >::columns(), EMPTY_RETURN_CHECK, imag(), octave::math::max(), real(), and Array< T, Alloc >::rows().

max() [3/3]

ComplexMatrix max	(	const ComplexMatrix &	m,
		const Complex &	c
	)

Definition at line 3568 of file CMatrix.cc.

References max().

min() [1/3]

ComplexMatrix min	(	const Complex &	c,
		const ComplexMatrix &	m
	)

Definition at line 3476 of file CMatrix.cc.

References Array< T, Alloc >::columns(), EMPTY_RETURN_CHECK, octave::math::min(), and Array< T, Alloc >::rows().

Referenced by min(), operator*(), and ComplexMatrix::pseudo_inverse().

min() [2/3]

ComplexMatrix min	(	const ComplexMatrix &	a,
		const ComplexMatrix &	b
	)

Definition at line 3502 of file CMatrix.cc.

References Array< T, Alloc >::columns(), EMPTY_RETURN_CHECK, imag(), octave::math::min(), real(), and Array< T, Alloc >::rows().

min() [3/3]

ComplexMatrix min	(	const ComplexMatrix &	m,
		const Complex &	c
	)

Definition at line 3496 of file CMatrix.cc.

References min().

mx_el_and() [1/3]

boolMatrix mx_el_and	(	const Complex &	s,
		const ComplexMatrix &	m
	)

Definition at line 3664 of file CMatrix.cc.

mx_el_and() [2/3]

boolMatrix mx_el_and	(	const ComplexMatrix &	m,
		const Complex &	s
	)

Definition at line 3661 of file CMatrix.cc.

mx_el_and() [3/3]

boolMatrix mx_el_and	(	const ComplexMatrix &	m1,
		const ComplexMatrix &	m2
	)

Definition at line 3667 of file CMatrix.cc.

mx_el_eq() [1/3]

boolMatrix mx_el_eq	(	const Complex &	s,
		const ComplexMatrix &	m
	)

Definition at line 3663 of file CMatrix.cc.

mx_el_eq() [2/3]

boolMatrix mx_el_eq	(	const ComplexMatrix &	m,
		const Complex &	s
	)

Definition at line 3660 of file CMatrix.cc.

mx_el_eq() [3/3]

boolMatrix mx_el_eq	(	const ComplexMatrix &	m1,
		const ComplexMatrix &	m2
	)

Definition at line 3666 of file CMatrix.cc.

mx_el_ge() [1/3]

boolMatrix mx_el_ge	(	const Complex &	s,
		const ComplexMatrix &	m
	)

Definition at line 3663 of file CMatrix.cc.

mx_el_ge() [2/3]

boolMatrix mx_el_ge	(	const ComplexMatrix &	m,
		const Complex &	s
	)

Definition at line 3660 of file CMatrix.cc.

mx_el_ge() [3/3]

boolMatrix mx_el_ge	(	const ComplexMatrix &	m1,
		const ComplexMatrix &	m2
	)

Definition at line 3666 of file CMatrix.cc.

mx_el_gt() [1/3]

boolMatrix mx_el_gt	(	const Complex &	s,
		const ComplexMatrix &	m
	)

Definition at line 3663 of file CMatrix.cc.

mx_el_gt() [2/3]

boolMatrix mx_el_gt	(	const ComplexMatrix &	m,
		const Complex &	s
	)

Definition at line 3660 of file CMatrix.cc.

mx_el_gt() [3/3]

boolMatrix mx_el_gt	(	const ComplexMatrix &	m1,
		const ComplexMatrix &	m2
	)

Definition at line 3666 of file CMatrix.cc.

mx_el_le() [1/3]

boolMatrix mx_el_le	(	const Complex &	s,
		const ComplexMatrix &	m
	)

Definition at line 3663 of file CMatrix.cc.

mx_el_le() [2/3]

boolMatrix mx_el_le	(	const ComplexMatrix &	m,
		const Complex &	s
	)

Definition at line 3660 of file CMatrix.cc.

mx_el_le() [3/3]

boolMatrix mx_el_le	(	const ComplexMatrix &	m1,
		const ComplexMatrix &	m2
	)

Definition at line 3666 of file CMatrix.cc.

mx_el_lt() [1/3]

boolMatrix mx_el_lt	(	const Complex &	s,
		const ComplexMatrix &	m
	)

Definition at line 3663 of file CMatrix.cc.

mx_el_lt() [2/3]

boolMatrix mx_el_lt	(	const ComplexMatrix &	m,
		const Complex &	s
	)

Definition at line 3660 of file CMatrix.cc.

mx_el_lt() [3/3]

boolMatrix mx_el_lt	(	const ComplexMatrix &	m1,
		const ComplexMatrix &	m2
	)

Definition at line 3666 of file CMatrix.cc.

mx_el_ne() [1/3]

boolMatrix mx_el_ne	(	const Complex &	s,
		const ComplexMatrix &	m
	)

Definition at line 3663 of file CMatrix.cc.

mx_el_ne() [2/3]

boolMatrix mx_el_ne	(	const ComplexMatrix &	m,
		const Complex &	s
	)

Definition at line 3660 of file CMatrix.cc.

mx_el_ne() [3/3]

boolMatrix mx_el_ne	(	const ComplexMatrix &	m1,
		const ComplexMatrix &	m2
	)

Definition at line 3666 of file CMatrix.cc.

mx_el_or() [1/3]

boolMatrix mx_el_or	(	const Complex &	s,
		const ComplexMatrix &	m
	)

Definition at line 3664 of file CMatrix.cc.

mx_el_or() [2/3]

boolMatrix mx_el_or	(	const ComplexMatrix &	m,
		const Complex &	s
	)

Definition at line 3661 of file CMatrix.cc.

mx_el_or() [3/3]

boolMatrix mx_el_or	(	const ComplexMatrix &	m1,
		const ComplexMatrix &	m2
	)

Definition at line 3667 of file CMatrix.cc.

norm1()

static double norm1 ( const ComplexMatrix &  a )

static

Definition at line 716 of file CMatrix.cc.

References ComplexMatrix::abs(), octave::math::isinf(), octave::math::isnan(), max(), Array< T, Alloc >::numel(), Matrix::row(), Matrix::sum(), and Array< T, Alloc >::xelem().

Referenced by ComplexMatrix::determinant(), ComplexMatrix::finverse(), ComplexMatrix::fsolve(), ComplexMatrix::lssolve(), and ComplexMatrix::rcond().

operator*() [1/6]

ComplexMatrix operator*	(	const ColumnVector &	v,
		const ComplexRowVector &	a
	)

Definition at line 2618 of file CMatrix.cc.

operator*() [2/6]

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

Definition at line 2625 of file CMatrix.cc.

operator*() [3/6]

ComplexMatrix operator*	(	const ComplexColumnVector &	v,
		const ComplexRowVector &	a
	)

Definition at line 2632 of file CMatrix.cc.

References ComplexMatrix, Array< T, Alloc >::data(), F77_CONST_DBLE_CMPLX_ARG, F77_DBLE_CMPLX_ARG, F77_XFCN, Array< T, Alloc >::fortran_vec(), len, and Array< T, Alloc >::numel().

operator*() [4/6]

ComplexMatrix operator*	(	const ComplexMatrix &	a,
		const ComplexMatrix &	b
	)

Definition at line 3464 of file CMatrix.cc.

References xgemm().

operator*() [5/6]

ComplexMatrix operator*	(	const ComplexMatrix &	m,
		const Matrix &	a
	)

Definition at line 3292 of file CMatrix.cc.

References Array< T, Alloc >::columns(), ComplexMatrix, imag(), min(), real(), and Array< T, Alloc >::rows().

operator*() [6/6]

ComplexMatrix operator*	(	const Matrix &	m,
		const ComplexMatrix &	a
	)

Definition at line 3301 of file CMatrix.cc.

References Array< T, Alloc >::columns(), ComplexMatrix, imag(), min(), real(), and Array< T, Alloc >::rows().

operator<<()

std::ostream & operator<<	(	std::ostream &	os,
		const ComplexMatrix &	a
	)

Definition at line 3182 of file CMatrix.cc.

operator>>()

std::istream & operator>>	(	std::istream &	is,
		ComplexMatrix &	a
	)

Definition at line 3198 of file CMatrix.cc.

Sylvester()

ComplexMatrix Sylvester	(	const ComplexMatrix &	a,
		const ComplexMatrix &	b,
		const ComplexMatrix &	c
	)

Definition at line 3243 of file CMatrix.cc.

References F77_DBLE_CMPLX_ARG, F77_XFCN, Array< T, Alloc >::fortran_vec(), ComplexMatrix::hermitian(), Array< T, Alloc >::rows(), scale(), octave::math::schur< T >::schur_matrix(), and octave::math::schur< T >::unitary_schur_matrix().

Referenced by Fsylvester().

xgemm()

ComplexMatrix xgemm	(	const ComplexMatrix &	a,
		const ComplexMatrix &	b,
		blas_trans_type	transa,
		blas_trans_type	transb
	)

Definition at line 3341 of file CMatrix.cc.

References blas_conj_trans, blas_no_trans, Array< T, Alloc >::cols(), ComplexMatrix, octave::math::conj(), Array< T, Alloc >::data(), octave::err_nonconformant(), F77_CONST_DBLE_CMPLX_ARG, F77_DBLE_CMPLX_ARG, F77_FUNC(), F77_XFCN, Array< T, Alloc >::fortran_vec(), get_blas_trans_arg(), Array< T, Alloc >::rows(), Array< T, Alloc >::xelem(), xzdotc(), and xzdotu().

Referenced by do_sqrtm(), oct_binop_herm_mul(), oct_binop_mul_herm(), oct_binop_mul_trans(), oct_binop_trans_mul(), and operator*().