fCMatrix.cc File Reference

#include <algorithm>
#include <complex>
#include <istream>
#include <limits>
#include <ostream>
#include "Array-util.h"
#include "DET.h"
#include "boolMatrix.h"
#include "chMatrix.h"
#include "chol.h"
#include "fCColVector.h"
#include "fCDiagMatrix.h"
#include "fCMatrix.h"
#include "fCNDArray.h"
#include "fCRowVector.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-fcm-fdm.h"
#include "mx-fcm-fs.h"
#include "mx-fdm-fcm.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 fCMatrix.cc:

Go to the source code of this file.

Macros
#define	EMPTY_RETURN_CHECK(T)

Functions
FloatComplexMatrix	conj (const FloatComplexMatrix &a)
static const FloatComplex	FloatComplex_NaN_result (octave::numeric_limits< float >::NaN(), octave::numeric_limits< float >::NaN())
static char	get_blas_trans_arg (bool trans, bool conj)
FloatComplexMatrix	Givens (const FloatComplex &x, const FloatComplex &y)
FloatComplexMatrix	linspace (const FloatComplexColumnVector &x1, const FloatComplexColumnVector &x2, octave_idx_type n)
FloatComplexMatrix	max (const FloatComplex &c, const FloatComplexMatrix &m)
FloatComplexMatrix	max (const FloatComplexMatrix &a, const FloatComplexMatrix &b)
FloatComplexMatrix	max (const FloatComplexMatrix &m, const FloatComplex &c)
FloatComplexMatrix	min (const FloatComplex &c, const FloatComplexMatrix &m)
FloatComplexMatrix	min (const FloatComplexMatrix &a, const FloatComplexMatrix &b)
FloatComplexMatrix	min (const FloatComplexMatrix &m, const FloatComplex &c)
boolMatrix	mx_el_and (const FloatComplex &s, const FloatComplexMatrix &m)
boolMatrix	mx_el_and (const FloatComplexMatrix &m, const FloatComplex &s)
boolMatrix	mx_el_and (const FloatComplexMatrix &m1, const FloatComplexMatrix &m2)
boolMatrix	mx_el_eq (const FloatComplex &s, const FloatComplexMatrix &m)
boolMatrix	mx_el_eq (const FloatComplexMatrix &m, const FloatComplex &s)
boolMatrix	mx_el_eq (const FloatComplexMatrix &m1, const FloatComplexMatrix &m2)
boolMatrix	mx_el_ge (const FloatComplex &s, const FloatComplexMatrix &m)
boolMatrix	mx_el_ge (const FloatComplexMatrix &m, const FloatComplex &s)
boolMatrix	mx_el_ge (const FloatComplexMatrix &m1, const FloatComplexMatrix &m2)
boolMatrix	mx_el_gt (const FloatComplex &s, const FloatComplexMatrix &m)
boolMatrix	mx_el_gt (const FloatComplexMatrix &m, const FloatComplex &s)
boolMatrix	mx_el_gt (const FloatComplexMatrix &m1, const FloatComplexMatrix &m2)
boolMatrix	mx_el_le (const FloatComplex &s, const FloatComplexMatrix &m)
boolMatrix	mx_el_le (const FloatComplexMatrix &m, const FloatComplex &s)
boolMatrix	mx_el_le (const FloatComplexMatrix &m1, const FloatComplexMatrix &m2)
boolMatrix	mx_el_lt (const FloatComplex &s, const FloatComplexMatrix &m)
boolMatrix	mx_el_lt (const FloatComplexMatrix &m, const FloatComplex &s)
boolMatrix	mx_el_lt (const FloatComplexMatrix &m1, const FloatComplexMatrix &m2)
boolMatrix	mx_el_ne (const FloatComplex &s, const FloatComplexMatrix &m)
boolMatrix	mx_el_ne (const FloatComplexMatrix &m, const FloatComplex &s)
boolMatrix	mx_el_ne (const FloatComplexMatrix &m1, const FloatComplexMatrix &m2)
boolMatrix	mx_el_or (const FloatComplex &s, const FloatComplexMatrix &m)
boolMatrix	mx_el_or (const FloatComplexMatrix &m, const FloatComplex &s)
boolMatrix	mx_el_or (const FloatComplexMatrix &m1, const FloatComplexMatrix &m2)
static float	norm1 (const FloatComplexMatrix &a)
FloatComplexMatrix	operator* (const FloatColumnVector &v, const FloatComplexRowVector &a)
FloatComplexMatrix	operator* (const FloatComplexColumnVector &a, const FloatRowVector &b)
FloatComplexMatrix	operator* (const FloatComplexColumnVector &v, const FloatComplexRowVector &a)
FloatComplexMatrix	operator* (const FloatComplexMatrix &a, const FloatComplexMatrix &b)
FloatComplexMatrix	operator* (const FloatComplexMatrix &m, const FloatMatrix &a)
FloatComplexMatrix	operator* (const FloatMatrix &m, const FloatComplexMatrix &a)
std::ostream &	operator<< (std::ostream &os, const FloatComplexMatrix &a)
std::istream &	operator>> (std::istream &is, FloatComplexMatrix &a)
FloatComplexMatrix	Sylvester (const FloatComplexMatrix &a, const FloatComplexMatrix &b, const FloatComplexMatrix &c)
FloatComplexMatrix	xgemm (const FloatComplexMatrix &a, const FloatComplexMatrix &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 3483 of file fCMatrix.cc.

Function Documentation

conj()

FloatComplexMatrix conj

(

const FloatComplexMatrix &

a

)

Definition at line 678 of file fCMatrix.cc.

References FloatComplexMatrix::conj, and Array< T >::elem().

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

FloatComplex_NaN_result()

static const FloatComplex FloatComplex_NaN_result ( octave::numeric_limits< float >  ::NaN(), octave::numeric_limits< float >  ::NaN()  )

static

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

get_blas_trans_arg()

static char get_blas_trans_arg ( bool  trans, bool  conj  )

static

Definition at line 3345 of file fCMatrix.cc.

References conj().

Referenced by xgemm().

Givens()

FloatComplexMatrix Givens	(	const FloatComplex &	x,
		const FloatComplex &	y
	)

Definition at line 3234 of file fCMatrix.cc.

References conj(), Array< T >::elem(), F77_CMPLX_ARG, F77_CONST_CMPLX_ARG, F77_FUNC(), and x.

linspace()

FloatComplexMatrix linspace	(	const FloatComplexColumnVector &	x1,
		const FloatComplexColumnVector &	x2,
		octave_idx_type	n
	)

Definition at line 3634 of file fCMatrix.cc.

References Array< T >::clear(), m, n, Array< T >::numel(), retval, and Array< T >::xelem().

max() [1/3]

FloatComplexMatrix max	(	const FloatComplex &	c,
		const FloatComplexMatrix &	m
	)

Definition at line 3560 of file fCMatrix.cc.

References EMPTY_RETURN_CHECK, m, and octave::math::max().

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

max() [2/3]

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

Definition at line 3586 of file fCMatrix.cc.

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

max() [3/3]

FloatComplexMatrix max	(	const FloatComplexMatrix &	m,
		const FloatComplex &	c
	)

Definition at line 3580 of file fCMatrix.cc.

References m, and max().

min() [1/3]

FloatComplexMatrix min	(	const FloatComplex &	c,
		const FloatComplexMatrix &	m
	)

Definition at line 3488 of file fCMatrix.cc.

References EMPTY_RETURN_CHECK, m, and octave::math::min().

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

min() [2/3]

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

Definition at line 3514 of file fCMatrix.cc.

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

min() [3/3]

FloatComplexMatrix min	(	const FloatComplexMatrix &	m,
		const FloatComplex &	c
	)

Definition at line 3508 of file fCMatrix.cc.

References m, and min().

mx_el_and() [1/3]

boolMatrix mx_el_and	(	const FloatComplex &	s,
		const FloatComplexMatrix &	m
	)

Definition at line 3676 of file fCMatrix.cc.

mx_el_and() [2/3]

boolMatrix mx_el_and	(	const FloatComplexMatrix &	m,
		const FloatComplex &	s
	)

Definition at line 3673 of file fCMatrix.cc.

mx_el_and() [3/3]

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

Definition at line 3679 of file fCMatrix.cc.

mx_el_eq() [1/3]

boolMatrix mx_el_eq	(	const FloatComplex &	s,
		const FloatComplexMatrix &	m
	)

Definition at line 3675 of file fCMatrix.cc.

mx_el_eq() [2/3]

boolMatrix mx_el_eq	(	const FloatComplexMatrix &	m,
		const FloatComplex &	s
	)

Definition at line 3672 of file fCMatrix.cc.

mx_el_eq() [3/3]

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

Definition at line 3678 of file fCMatrix.cc.

mx_el_ge() [1/3]

boolMatrix mx_el_ge	(	const FloatComplex &	s,
		const FloatComplexMatrix &	m
	)

Definition at line 3675 of file fCMatrix.cc.

mx_el_ge() [2/3]

boolMatrix mx_el_ge	(	const FloatComplexMatrix &	m,
		const FloatComplex &	s
	)

Definition at line 3672 of file fCMatrix.cc.

mx_el_ge() [3/3]

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

Definition at line 3678 of file fCMatrix.cc.

mx_el_gt() [1/3]

boolMatrix mx_el_gt	(	const FloatComplex &	s,
		const FloatComplexMatrix &	m
	)

Definition at line 3675 of file fCMatrix.cc.

mx_el_gt() [2/3]

boolMatrix mx_el_gt	(	const FloatComplexMatrix &	m,
		const FloatComplex &	s
	)

Definition at line 3672 of file fCMatrix.cc.

mx_el_gt() [3/3]

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

Definition at line 3678 of file fCMatrix.cc.

mx_el_le() [1/3]

boolMatrix mx_el_le	(	const FloatComplex &	s,
		const FloatComplexMatrix &	m
	)

Definition at line 3675 of file fCMatrix.cc.

mx_el_le() [2/3]

boolMatrix mx_el_le	(	const FloatComplexMatrix &	m,
		const FloatComplex &	s
	)

Definition at line 3672 of file fCMatrix.cc.

mx_el_le() [3/3]

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

Definition at line 3678 of file fCMatrix.cc.

mx_el_lt() [1/3]

boolMatrix mx_el_lt	(	const FloatComplex &	s,
		const FloatComplexMatrix &	m
	)

Definition at line 3675 of file fCMatrix.cc.

mx_el_lt() [2/3]

boolMatrix mx_el_lt	(	const FloatComplexMatrix &	m,
		const FloatComplex &	s
	)

Definition at line 3672 of file fCMatrix.cc.

mx_el_lt() [3/3]

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

Definition at line 3678 of file fCMatrix.cc.

mx_el_ne() [1/3]

boolMatrix mx_el_ne	(	const FloatComplex &	s,
		const FloatComplexMatrix &	m
	)

Definition at line 3675 of file fCMatrix.cc.

mx_el_ne() [2/3]

boolMatrix mx_el_ne	(	const FloatComplexMatrix &	m,
		const FloatComplex &	s
	)

Definition at line 3672 of file fCMatrix.cc.

mx_el_ne() [3/3]

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

Definition at line 3678 of file fCMatrix.cc.

mx_el_or() [1/3]

boolMatrix mx_el_or	(	const FloatComplex &	s,
		const FloatComplexMatrix &	m
	)

Definition at line 3676 of file fCMatrix.cc.

mx_el_or() [2/3]

boolMatrix mx_el_or	(	const FloatComplexMatrix &	m,
		const FloatComplex &	s
	)

Definition at line 3673 of file fCMatrix.cc.

mx_el_or() [3/3]

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

Definition at line 3679 of file fCMatrix.cc.

norm1()

static float norm1 ( const FloatComplexMatrix &  a )

static

Definition at line 719 of file fCMatrix.cc.

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

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

operator*() [1/6]

FloatComplexMatrix operator*	(	const FloatColumnVector &	v,
		const FloatComplexRowVector &	a
	)

Definition at line 2628 of file fCMatrix.cc.

operator*() [2/6]

FloatComplexMatrix operator*	(	const FloatComplexColumnVector &	a,
		const FloatRowVector &	b
	)

Definition at line 2635 of file fCMatrix.cc.

operator*() [3/6]

FloatComplexMatrix operator*	(	const FloatComplexColumnVector &	v,
		const FloatComplexRowVector &	a
	)

Definition at line 2642 of file fCMatrix.cc.

References Array< T >::data(), F77_CMPLX_ARG, F77_CONST_CMPLX_ARG, F77_XFCN, Array< T >::fortran_vec(), len, Array< T >::numel(), and retval.

operator*() [4/6]

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

Definition at line 3475 of file fCMatrix.cc.

References xgemm().

operator*() [5/6]

FloatComplexMatrix operator*	(	const FloatComplexMatrix &	m,
		const FloatMatrix &	a
	)

Definition at line 3304 of file fCMatrix.cc.

References Array< T >::columns(), imag(), m, min(), and real().

operator*() [6/6]

FloatComplexMatrix operator*	(	const FloatMatrix &	m,
		const FloatComplexMatrix &	a
	)

Definition at line 3313 of file fCMatrix.cc.

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

operator<<()

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

Definition at line 3195 of file fCMatrix.cc.

operator>>()

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

Definition at line 3211 of file fCMatrix.cc.

Sylvester()

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

Definition at line 3253 of file fCMatrix.cc.

References F77_CMPLX_ARG, F77_XFCN, Array< T >::fortran_vec(), FloatComplexMatrix::hermitian(), retval, Array< T >::rows(), scale(), octave::math::schur< T >::schur_matrix(), and octave::math::schur< T >::unitary_matrix().

xgemm()

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

Definition at line 3353 of file fCMatrix.cc.

References blas_conj_trans, blas_no_trans, Array< T >::cols(), octave::math::conj(), Array< T >::data(), octave::err_nonconformant(), F77_CMPLX_ARG, F77_CONST_CMPLX_ARG, F77_FUNC(), F77_XFCN, Array< T >::fortran_vec(), get_blas_trans_arg(), retval, Array< T >::rows(), xcdotc(), xcdotu(), and Array< T >::xelem().

Referenced by operator*().