GNU Octave  8.1.0
A high-level interpreted language, primarily intended for numerical computations, mostly compatible with Matlab
Classes | Functions
CMatrix.h File Reference
#include "octave-config.h"
#include "CNDArray.h"
#include "DET.h"
#include "MArray.h"
#include "MDiagArray2.h"
#include "MatrixType.h"
#include "mx-defs.h"
#include "mx-op-decl.h"
#include "oct-cmplx.h"
Include dependency graph for CMatrix.h:
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Go to the source code of this file.

Classes

class  ComplexMatrix
 

Functions

OCTAVE_API ComplexMatrix conj (const ComplexMatrix &a)
 
OCTAVE_API ComplexMatrix Givens (const Complex &, const Complex &)
 
OCTAVE_API ComplexMatrix linspace (const ComplexColumnVector &x1, const ComplexColumnVector &x2, octave_idx_type n)
 
OCTAVE_API ComplexMatrix max (const Complex &c, const ComplexMatrix &m)
 
OCTAVE_API ComplexMatrix max (const ComplexMatrix &a, const ComplexMatrix &b)
 
OCTAVE_API ComplexMatrix max (const ComplexMatrix &m, const Complex &c)
 
OCTAVE_API ComplexMatrix min (const Complex &c, const ComplexMatrix &m)
 
OCTAVE_API ComplexMatrix min (const ComplexMatrix &a, const ComplexMatrix &b)
 
OCTAVE_API ComplexMatrix min (const ComplexMatrix &m, const Complex &c)
 
OCTAVE_API boolMatrix mx_el_and (const Complex &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_and (const ComplexMatrix &, const Complex &)
 
OCTAVE_API boolMatrix mx_el_and (const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_eq (const Complex &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_eq (const ComplexMatrix &, const Complex &)
 
OCTAVE_API boolMatrix mx_el_eq (const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_ge (const Complex &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_ge (const ComplexMatrix &, const Complex &)
 
OCTAVE_API boolMatrix mx_el_ge (const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_gt (const Complex &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_gt (const ComplexMatrix &, const Complex &)
 
OCTAVE_API boolMatrix mx_el_gt (const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_le (const Complex &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_le (const ComplexMatrix &, const Complex &)
 
OCTAVE_API boolMatrix mx_el_le (const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_lt (const Complex &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_lt (const ComplexMatrix &, const Complex &)
 
OCTAVE_API boolMatrix mx_el_lt (const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_ne (const Complex &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_ne (const ComplexMatrix &, const Complex &)
 
OCTAVE_API boolMatrix mx_el_ne (const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_or (const Complex &, const ComplexMatrix &)
 
OCTAVE_API boolMatrix mx_el_or (const ComplexMatrix &, const Complex &)
 
OCTAVE_API boolMatrix mx_el_or (const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API ComplexMatrix operator* (const ColumnVector &a, const ComplexRowVector &b)
 
ComplexMatrix operator* (const Complex &x, const ComplexMatrix &y)
 
OCTAVE_API ComplexMatrix operator* (const ComplexColumnVector &a, const ComplexRowVector &b)
 
OCTAVE_API ComplexMatrix operator* (const ComplexColumnVector &a, const RowVector &b)
 
OCTAVE_API ComplexMatrix operator* (const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API ComplexMatrix operator* (const ComplexMatrix &, const Matrix &)
 
ComplexMatrix operator* (const ComplexMatrix &x, const Complex &y)
 
OCTAVE_API ComplexMatrix operator* (const Matrix &, const ComplexMatrix &)
 
ComplexMatrix operator*= (ComplexMatrix &x, const Complex &y)
 
ComplexMatrix operator+ (const Complex &x, const ComplexMatrix &y)
 
ComplexMatrix operator+ (const ComplexMatrix &x)
 
ComplexMatrix operator+ (const ComplexMatrix &x, const Complex &y)
 
ComplexMatrix operator+ (const ComplexMatrix &x, const ComplexMatrix &y)
 
ComplexMatrix operator+= (ComplexMatrix &x, const Complex &y)
 
ComplexMatrix operator+= (ComplexMatrix &x, const ComplexMatrix &y)
 
ComplexMatrix operator- (const Complex &x, const ComplexMatrix &y)
 
ComplexMatrix operator- (const ComplexMatrix &x)
 
ComplexMatrix operator- (const ComplexMatrix &x, const Complex &y)
 
ComplexMatrix operator- (const ComplexMatrix &x, const ComplexMatrix &y)
 
ComplexMatrix operator-= (ComplexMatrix &x, const Complex &y)
 
ComplexMatrix operator-= (ComplexMatrix &x, const ComplexMatrix &y)
 
ComplexMatrix operator/ (const Complex &x, const ComplexMatrix &y)
 
ComplexMatrix operator/ (const ComplexMatrix &x, const Complex &y)
 
ComplexMatrix operator/= (ComplexMatrix &x, const Complex &y)
 
ComplexMatrix product (const ComplexMatrix &x, const ComplexMatrix &y)
 
ComplexMatrix product_eq (ComplexMatrix &x, const ComplexMatrix &y)
 
ComplexMatrix quotient (const ComplexMatrix &x, const ComplexMatrix &y)
 
ComplexMatrix quotient_eq (ComplexMatrix &x, const ComplexMatrix &y)
 
OCTAVE_API ComplexMatrix Sylvester (const ComplexMatrix &, const ComplexMatrix &, const ComplexMatrix &)
 
OCTAVE_API ComplexMatrix xgemm (const ComplexMatrix &a, const ComplexMatrix &b, blas_trans_type transa=blas_no_trans, blas_trans_type transb=blas_no_trans)
 

Function Documentation

◆ conj()

OCTAVE_API ComplexMatrix conj ( const ComplexMatrix &  a)

Definition at line 175 of file CMatrix.cc.

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

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

◆ Givens()

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

Definition at line 3226 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()

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

Definition at line 3628 of file CMatrix.cc.

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

Referenced by do_linspace().

◆ max() [1/3]

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

Definition at line 3553 of file CMatrix.cc.

References EMPTY_RETURN_CHECK, and m.

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

◆ max() [2/3]

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

Definition at line 3579 of file CMatrix.cc.

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

◆ max() [3/3]

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

Definition at line 3573 of file CMatrix.cc.

References m, and max().

◆ min() [1/3]

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

Definition at line 3481 of file CMatrix.cc.

References EMPTY_RETURN_CHECK, and m.

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

◆ min() [2/3]

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

Definition at line 3507 of file CMatrix.cc.

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

◆ min() [3/3]

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

Definition at line 3501 of file CMatrix.cc.

References m, and min().

◆ mx_el_and() [1/3]

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

Definition at line 3669 of file CMatrix.cc.

◆ mx_el_and() [2/3]

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

Definition at line 3666 of file CMatrix.cc.

◆ mx_el_and() [3/3]

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

Definition at line 3672 of file CMatrix.cc.

◆ mx_el_eq() [1/3]

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

Definition at line 3668 of file CMatrix.cc.

◆ mx_el_eq() [2/3]

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

Definition at line 3665 of file CMatrix.cc.

◆ mx_el_eq() [3/3]

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

Definition at line 3671 of file CMatrix.cc.

◆ mx_el_ge() [1/3]

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

Definition at line 3668 of file CMatrix.cc.

◆ mx_el_ge() [2/3]

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

Definition at line 3665 of file CMatrix.cc.

◆ mx_el_ge() [3/3]

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

Definition at line 3671 of file CMatrix.cc.

◆ mx_el_gt() [1/3]

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

Definition at line 3668 of file CMatrix.cc.

◆ mx_el_gt() [2/3]

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

Definition at line 3665 of file CMatrix.cc.

◆ mx_el_gt() [3/3]

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

Definition at line 3671 of file CMatrix.cc.

◆ mx_el_le() [1/3]

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

Definition at line 3668 of file CMatrix.cc.

◆ mx_el_le() [2/3]

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

Definition at line 3665 of file CMatrix.cc.

◆ mx_el_le() [3/3]

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

Definition at line 3671 of file CMatrix.cc.

◆ mx_el_lt() [1/3]

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

Definition at line 3668 of file CMatrix.cc.

◆ mx_el_lt() [2/3]

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

Definition at line 3665 of file CMatrix.cc.

◆ mx_el_lt() [3/3]

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

Definition at line 3671 of file CMatrix.cc.

◆ mx_el_ne() [1/3]

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

Definition at line 3668 of file CMatrix.cc.

◆ mx_el_ne() [2/3]

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

Definition at line 3665 of file CMatrix.cc.

◆ mx_el_ne() [3/3]

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

Definition at line 3671 of file CMatrix.cc.

◆ mx_el_or() [1/3]

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

Definition at line 3669 of file CMatrix.cc.

◆ mx_el_or() [2/3]

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

Definition at line 3666 of file CMatrix.cc.

◆ mx_el_or() [3/3]

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

Definition at line 3672 of file CMatrix.cc.

◆ operator*() [1/8]

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

Definition at line 2623 of file CMatrix.cc.

◆ operator*() [2/8]

ComplexMatrix operator* ( const Complex &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator*() [3/8]

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

Definition at line 2637 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*() [4/8]

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

Definition at line 2630 of file CMatrix.cc.

◆ operator*() [5/8]

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

Definition at line 3469 of file CMatrix.cc.

References xgemm().

◆ operator*() [6/8]

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

Definition at line 3297 of file CMatrix.cc.

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

◆ operator*() [7/8]

ComplexMatrix operator* ( const ComplexMatrix &  x,
const Complex &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator*() [8/8]

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

Definition at line 3306 of file CMatrix.cc.

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

◆ operator*=()

ComplexMatrix operator*= ( ComplexMatrix &  x,
const Complex &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator+() [1/4]

ComplexMatrix operator+ ( const Complex &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator+() [2/4]

ComplexMatrix operator+ ( const ComplexMatrix &  x)
inline

Definition at line 505 of file CMatrix.h.

◆ operator+() [3/4]

ComplexMatrix operator+ ( const ComplexMatrix &  x,
const Complex &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator+() [4/4]

ComplexMatrix operator+ ( const ComplexMatrix &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator+=() [1/2]

ComplexMatrix operator+= ( ComplexMatrix &  x,
const Complex &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator+=() [2/2]

ComplexMatrix operator+= ( ComplexMatrix &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator-() [1/4]

ComplexMatrix operator- ( const Complex &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator-() [2/4]

ComplexMatrix operator- ( const ComplexMatrix &  x)
inline

Definition at line 505 of file CMatrix.h.

◆ operator-() [3/4]

ComplexMatrix operator- ( const ComplexMatrix &  x,
const Complex &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator-() [4/4]

ComplexMatrix operator- ( const ComplexMatrix &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator-=() [1/2]

ComplexMatrix operator-= ( ComplexMatrix &  x,
const Complex &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator-=() [2/2]

ComplexMatrix operator-= ( ComplexMatrix &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator/() [1/2]

ComplexMatrix operator/ ( const Complex &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator/() [2/2]

ComplexMatrix operator/ ( const ComplexMatrix &  x,
const Complex &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ operator/=()

ComplexMatrix operator/= ( ComplexMatrix &  x,
const Complex &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ product()

ComplexMatrix product ( const ComplexMatrix &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ product_eq()

ComplexMatrix product_eq ( ComplexMatrix &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ quotient()

ComplexMatrix quotient ( const ComplexMatrix &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ quotient_eq()

ComplexMatrix quotient_eq ( ComplexMatrix &  x,
const ComplexMatrix &  y 
)
inline

Definition at line 505 of file CMatrix.h.

◆ Sylvester()

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

Definition at line 3248 of file CMatrix.cc.

References F77_DBLE_CMPLX_ARG, F77_XFCN, Array< T, Alloc >::fortran_vec(), ComplexMatrix::hermitian(), Array< T, Alloc >::rows(), and scale().

Referenced by Fsylvester().

◆ xgemm()

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

Definition at line 3346 of file CMatrix.cc.

References blas_conj_trans, blas_no_trans, Array< T, Alloc >::cols(), ComplexMatrix, conj(), Array< T, Alloc >::data(), 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*().