oct-specfun.cc File Reference

#include <cmath>
#include <algorithm>
#include <limits>
#include <string>
#include "CColVector.h"
#include "CMatrix.h"
#include "CNDArray.h"
#include "Faddeeva.hh"
#include "amos-proto.h"
#include "dMatrix.h"
#include "dNDArray.h"
#include "dRowVector.h"
#include "f77-fcn.h"
#include "fCColVector.h"
#include "fCMatrix.h"
#include "fCNDArray.h"
#include "fMatrix.h"
#include "fNDArray.h"
#include "fRowVector.h"
#include "lo-ieee.h"
#include "mappers.h"
#include "mx-inlines.cc"
#include "oct-error.h"
#include "oct-specfun.h"
#include "slatec-proto.h"

Go to the source code of this file.

Macros
#define	ALL_BESSEL(name, fcn)
#define	ALL_BESSEL(name, fcn)
#define	MM_BESSEL(name, fcn)
#define	MM_BESSEL(name, fcn)
#define	MS_BESSEL(name, fcn)
#define	MS_BESSEL(name, fcn)
#define	NN_BESSEL(name, fcn)
#define	NN_BESSEL(name, fcn)
#define	NS_BESSEL(name, fcn)
#define	NS_BESSEL(name, fcn)
#define	RC_BESSEL(name, fcn)
#define	RC_BESSEL(name, fcn)
#define	SM_BESSEL(name, fcn)
#define	SM_BESSEL(name, fcn)
#define	SN_BESSEL(name, fcn)
#define	SN_BESSEL(name, fcn)
#define	SS_BESSEL(name, fcn)
#define	SS_BESSEL(name, fcn)

Typedefs
typedef Complex(*	dptr) (const Complex &, double, int, octave_idx_type &)
typedef FloatComplex(*	fptr) (const FloatComplex &, float, int, octave_idx_type &)

Functions
Complex	airy (const Complex &z, bool deriv, bool scaled, octave_idx_type &ierr)
ComplexMatrix	airy (const ComplexMatrix &z, bool deriv, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	airy (const ComplexNDArray &z, bool deriv, bool scaled, Array< octave_idx_type > &ierr)
FloatComplex	airy (const FloatComplex &z, bool deriv, bool scaled, octave_idx_type &ierr)
FloatComplexMatrix	airy (const FloatComplexMatrix &z, bool deriv, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	airy (const FloatComplexNDArray &z, bool deriv, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselh1 (const FloatMatrix &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselh1 (const FloatMatrix &alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselh1 (const FloatNDArray &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselh1 (const FloatNDArray &alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselh1 (const FloatRowVector &alpha, const FloatComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselh1 (const Matrix &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselh1 (const Matrix &alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselh1 (const NDArray &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselh1 (const NDArray &alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselh1 (const RowVector &alpha, const ComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
Complex	besselh1 (double alpha, const Complex &x, bool scaled, octave_idx_type &ierr)
ComplexMatrix	besselh1 (double alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselh1 (double alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplex	besselh1 (float alpha, const FloatComplex &x, bool scaled, octave_idx_type &ierr)
FloatComplexMatrix	besselh1 (float alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselh1 (float alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselh2 (const FloatMatrix &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselh2 (const FloatMatrix &alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselh2 (const FloatNDArray &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselh2 (const FloatNDArray &alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselh2 (const FloatRowVector &alpha, const FloatComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselh2 (const Matrix &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselh2 (const Matrix &alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselh2 (const NDArray &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselh2 (const NDArray &alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselh2 (const RowVector &alpha, const ComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
Complex	besselh2 (double alpha, const Complex &x, bool scaled, octave_idx_type &ierr)
ComplexMatrix	besselh2 (double alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselh2 (double alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplex	besselh2 (float alpha, const FloatComplex &x, bool scaled, octave_idx_type &ierr)
FloatComplexMatrix	besselh2 (float alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselh2 (float alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besseli (const FloatMatrix &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besseli (const FloatMatrix &alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besseli (const FloatNDArray &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besseli (const FloatNDArray &alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besseli (const FloatRowVector &alpha, const FloatComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besseli (const Matrix &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besseli (const Matrix &alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besseli (const NDArray &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besseli (const NDArray &alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besseli (const RowVector &alpha, const ComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
Complex	besseli (double alpha, const Complex &x, bool scaled, octave_idx_type &ierr)
ComplexMatrix	besseli (double alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besseli (double alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplex	besseli (float alpha, const FloatComplex &x, bool scaled, octave_idx_type &ierr)
FloatComplexMatrix	besseli (float alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besseli (float alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselj (const FloatMatrix &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselj (const FloatMatrix &alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselj (const FloatNDArray &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselj (const FloatNDArray &alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselj (const FloatRowVector &alpha, const FloatComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselj (const Matrix &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselj (const Matrix &alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselj (const NDArray &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselj (const NDArray &alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselj (const RowVector &alpha, const ComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
Complex	besselj (double alpha, const Complex &x, bool scaled, octave_idx_type &ierr)
ComplexMatrix	besselj (double alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselj (double alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplex	besselj (float alpha, const FloatComplex &x, bool scaled, octave_idx_type &ierr)
FloatComplexMatrix	besselj (float alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselj (float alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselk (const FloatMatrix &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselk (const FloatMatrix &alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselk (const FloatNDArray &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselk (const FloatNDArray &alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	besselk (const FloatRowVector &alpha, const FloatComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselk (const Matrix &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselk (const Matrix &alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselk (const NDArray &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselk (const NDArray &alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	besselk (const RowVector &alpha, const ComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
Complex	besselk (double alpha, const Complex &x, bool scaled, octave_idx_type &ierr)
ComplexMatrix	besselk (double alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	besselk (double alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplex	besselk (float alpha, const FloatComplex &x, bool scaled, octave_idx_type &ierr)
FloatComplexMatrix	besselk (float alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	besselk (float alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	bessely (const FloatMatrix &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	bessely (const FloatMatrix &alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	bessely (const FloatNDArray &alpha, const FloatComplex &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	bessely (const FloatNDArray &alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexMatrix	bessely (const FloatRowVector &alpha, const FloatComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	bessely (const Matrix &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	bessely (const Matrix &alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	bessely (const NDArray &alpha, const Complex &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	bessely (const NDArray &alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexMatrix	bessely (const RowVector &alpha, const ComplexColumnVector &x, bool scaled, Array< octave_idx_type > &ierr)
Complex	bessely (double alpha, const Complex &x, bool scaled, octave_idx_type &ierr)
ComplexMatrix	bessely (double alpha, const ComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	bessely (double alpha, const ComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplex	bessely (float alpha, const FloatComplex &x, bool scaled, octave_idx_type &ierr)
FloatComplexMatrix	bessely (float alpha, const FloatComplexMatrix &x, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	bessely (float alpha, const FloatComplexNDArray &x, bool scaled, Array< octave_idx_type > &ierr)
Complex	biry (const Complex &z, bool deriv, bool scaled, octave_idx_type &ierr)
ComplexMatrix	biry (const ComplexMatrix &z, bool deriv, bool scaled, Array< octave_idx_type > &ierr)
ComplexNDArray	biry (const ComplexNDArray &z, bool deriv, bool scaled, Array< octave_idx_type > &ierr)
FloatComplex	biry (const FloatComplex &z, bool deriv, bool scaled, octave_idx_type &ierr)
FloatComplexMatrix	biry (const FloatComplexMatrix &z, bool deriv, bool scaled, Array< octave_idx_type > &ierr)
FloatComplexNDArray	biry (const FloatComplexNDArray &z, bool deriv, bool scaled, Array< octave_idx_type > &ierr)
Complex	dawson (const Complex &x)
FloatComplex	dawson (const FloatComplex &x)
double	dawson (double x)
float	dawson (float x)
void	ellipj (const Complex &u, double m, Complex &sn, Complex &cn, Complex &dn, double &err)
void	ellipj (double u, double m, double &sn, double &cn, double &dn, double &err)
Complex	erf (const Complex &x)
FloatComplex	erf (const FloatComplex &x)
Complex	erfc (const Complex &x)
FloatComplex	erfc (const FloatComplex &x)
double	erfcinv (double x)
float	erfcinv (float x)
Complex	erfcx (const Complex &x)
FloatComplex	erfcx (const FloatComplex &x)
double	erfcx (double x)
float	erfcx (float x)
Complex	erfi (const Complex &x)
FloatComplex	erfi (const FloatComplex &x)
double	erfi (double x)
float	erfi (float x)
double	erfinv (double x)
float	erfinv (float x)
Complex	expm1 (const Complex &x)
FloatComplex	expm1 (const FloatComplex &x)
template<>
void	fortran_psifn< double > (double z, octave_idx_type n_arg, double &ans, octave_idx_type &ierr)
template<>
void	fortran_psifn< float > (float z, octave_idx_type n_arg, float &ans, octave_idx_type &ierr)
double	gamma (double x)
float	gamma (float x)
Complex	log1p (const Complex &x)
FloatComplex	log1p (const FloatComplex &x)
Complex	psi (const Complex &z)
FloatComplex	psi (const FloatComplex &z)
double	psi (double z)
float	psi (float z)
double	psi (octave_idx_type n, double z)
float	psi (octave_idx_type n, float z)
Complex	rc_lgamma (double x)
FloatComplex	rc_lgamma (float x)
Complex	rc_log1p (double x)
FloatComplex	rc_log1p (float x)
template<>
double	xlog (const double &x)
template<>
float	xlog (const float &x)
template<typename T >
std::complex< T >	xpsi (const std::complex< T > &z)
template<typename T >
T	xpsi (octave_idx_type n, T z)
template<typename T >
T	xpsi (T z)

Macro Definition Documentation

ALL_BESSEL [1/2]

#define ALL_BESSEL	(		name,
			fcn
	)

Value:

    SS_BESSEL (name, fcn)                       \
    SM_BESSEL (name, fcn)                       \
    MS_BESSEL (name, fcn)                       \
    MM_BESSEL (name, fcn)                       \
    SN_BESSEL (name, fcn)                       \
    NS_BESSEL (name, fcn)                       \
    NN_BESSEL (name, fcn)                       \
    RC_BESSEL (name, fcn)

Definition at line 771 of file oct-specfun.cc.

ALL_BESSEL [2/2]

#define ALL_BESSEL	(		name,
			fcn
	)

Value:

    SS_BESSEL (name, fcn)                       \
    SM_BESSEL (name, fcn)                       \
    MS_BESSEL (name, fcn)                       \
    MM_BESSEL (name, fcn)                       \
    SN_BESSEL (name, fcn)                       \
    NS_BESSEL (name, fcn)                       \
    NN_BESSEL (name, fcn)                       \
    RC_BESSEL (name, fcn)

Definition at line 771 of file oct-specfun.cc.

MM_BESSEL [1/2]

#define MM_BESSEL	(		name,
			fcn
	)

Value:

    ComplexMatrix                                                       \
    name (const Matrix& alpha, const ComplexMatrix& x, bool scaled,     \
          Array<octave_idx_type>& ierr)                                 \
    {                                                                   \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);            \
    }

Definition at line 731 of file oct-specfun.cc.

MM_BESSEL [2/2]

#define MM_BESSEL	(		name,
			fcn
	)

Value:

    FloatComplexMatrix                                                  \
    name (const FloatMatrix& alpha, const FloatComplexMatrix& x,        \
          bool scaled, Array<octave_idx_type>& ierr)                    \
    {                                                                   \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);            \
    }

Definition at line 731 of file oct-specfun.cc.

MS_BESSEL [1/2]

#define MS_BESSEL	(		name,
			fcn
	)

Value:

    ComplexMatrix                                               \
    name (const Matrix& alpha, const Complex& x, bool scaled,   \
          Array<octave_idx_type>& ierr)                         \
    {                                                           \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);    \
    }

Definition at line 723 of file oct-specfun.cc.

MS_BESSEL [2/2]

#define MS_BESSEL	(		name,
			fcn
	)

Value:

    FloatComplexMatrix                                                  \
    name (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, \
          Array<octave_idx_type>& ierr)                                 \
    {                                                                   \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);            \
    }

Definition at line 723 of file oct-specfun.cc.

NN_BESSEL [1/2]

#define NN_BESSEL	(		name,
			fcn
	)

Value:

    ComplexNDArray                                                      \
    name (const NDArray& alpha, const ComplexNDArray& x, bool scaled,   \
          Array<octave_idx_type>& ierr)                                 \
    {                                                                   \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);            \
    }

Definition at line 755 of file oct-specfun.cc.

NN_BESSEL [2/2]

#define NN_BESSEL	(		name,
			fcn
	)

Value:

    FloatComplexNDArray                                                 \
    name (const FloatNDArray& alpha, const FloatComplexNDArray& x,      \
          bool scaled, Array<octave_idx_type>& ierr)                    \
    {                                                                   \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);            \
    }

Definition at line 755 of file oct-specfun.cc.

NS_BESSEL [1/2]

#define NS_BESSEL	(		name,
			fcn
	)

Value:

    ComplexNDArray                                              \
    name (const NDArray& alpha, const Complex& x, bool scaled,  \
          Array<octave_idx_type>& ierr)                         \
    {                                                           \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);    \
    }

Definition at line 747 of file oct-specfun.cc.

NS_BESSEL [2/2]

#define NS_BESSEL	(		name,
			fcn
	)

Value:

    FloatComplexNDArray                                         \
    name (const FloatNDArray& alpha, const FloatComplex& x,     \
          bool scaled, Array<octave_idx_type>& ierr)            \
    {                                                           \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);    \
    }

Definition at line 747 of file oct-specfun.cc.

RC_BESSEL [1/2]

#define RC_BESSEL	(		name,
			fcn
	)

Value:

    ComplexMatrix                                                       \
    name (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, \
          Array<octave_idx_type>& ierr)                                 \
    {                                                                   \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);            \
    }

Definition at line 763 of file oct-specfun.cc.

RC_BESSEL [2/2]

#define RC_BESSEL	(		name,
			fcn
	)

Value:

    FloatComplexMatrix                                          \
    name (const FloatRowVector& alpha,                          \
          const FloatComplexColumnVector& x, bool scaled,       \
          Array<octave_idx_type>& ierr)                         \
    {                                                           \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);    \
    }

Definition at line 763 of file oct-specfun.cc.

SM_BESSEL [1/2]

#define SM_BESSEL	(		name,
			fcn
	)

Value:

    ComplexMatrix                                               \
    name (double alpha, const ComplexMatrix& x, bool scaled,    \
          Array<octave_idx_type>& ierr)                         \
    {                                                           \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);    \
    }

Definition at line 715 of file oct-specfun.cc.

SM_BESSEL [2/2]

#define SM_BESSEL	(		name,
			fcn
	)

Value:

    FloatComplexMatrix                                                  \
    name (float alpha, const FloatComplexMatrix& x, bool scaled,        \
          Array<octave_idx_type>& ierr)                                 \
    {                                                                   \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);            \
    }

Definition at line 715 of file oct-specfun.cc.

SN_BESSEL [1/2]

#define SN_BESSEL	(		name,
			fcn
	)

Value:

    ComplexNDArray                                              \
    name (double alpha, const ComplexNDArray& x, bool scaled,   \
          Array<octave_idx_type>& ierr)                         \
    {                                                           \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);    \
    }

Definition at line 739 of file oct-specfun.cc.

SN_BESSEL [2/2]

#define SN_BESSEL	(		name,
			fcn
	)

Value:

    FloatComplexNDArray                                                 \
    name (float alpha, const FloatComplexNDArray& x, bool scaled,       \
          Array<octave_idx_type>& ierr)                                 \
    {                                                                   \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);            \
    }

Definition at line 739 of file oct-specfun.cc.

SS_BESSEL [1/2]

#define SS_BESSEL	(		name,
			fcn
	)

Value:

    Complex                                                             \
    name (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) \
    {                                                                   \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);            \
    }

Definition at line 708 of file oct-specfun.cc.

SS_BESSEL [2/2]

#define SS_BESSEL	(		name,
			fcn
	)

Value:

    FloatComplex                                                \
    name (float alpha, const FloatComplex& x, bool scaled,      \
          octave_idx_type& ierr)                                \
    {                                                           \
      return do_bessel (fcn, #name, alpha, x, scaled, ierr);    \
    }

Definition at line 708 of file oct-specfun.cc.

Typedef Documentation

dptr

typedef Complex(* dptr) (const Complex &, double, int, octave_idx_type &)

Definition at line 556 of file oct-specfun.cc.

fptr

typedef FloatComplex(* fptr) (const FloatComplex &, float, int, octave_idx_type &)

Definition at line 1089 of file oct-specfun.cc.

Function Documentation

airy() [1/6]

Complex airy	(	const Complex &	z,
		bool	deriv,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 128 of file oct-specfun.cc.

References F77_FUNC(), ierr, and zairy().

Referenced by airy(), airy(), airy(), and airy().

airy() [2/6]

ComplexMatrix airy	(	const ComplexMatrix &	z,
		bool	deriv,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 151 of file oct-specfun.cc.

References airy(), Array< T, Alloc >::cols(), ierr, and Array< T, Alloc >::rows().

airy() [3/6]

ComplexNDArray airy	(	const ComplexNDArray &	z,
		bool	deriv,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 169 of file oct-specfun.cc.

References airy(), Array< T, Alloc >::dims(), ierr, and dim_vector::numel().

airy() [4/6]

FloatComplex airy	(	const FloatComplex &	z,
		bool	deriv,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 185 of file oct-specfun.cc.

References cairy(), F77_CMPLX_ARG, F77_CONST_CMPLX_ARG, F77_FUNC(), and ierr.

airy() [5/6]

FloatComplexMatrix airy	(	const FloatComplexMatrix &	z,
		bool	deriv,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 209 of file oct-specfun.cc.

References airy(), Array< T, Alloc >::cols(), ierr, and Array< T, Alloc >::rows().

airy() [6/6]

FloatComplexNDArray airy	(	const FloatComplexNDArray &	z,
		bool	deriv,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 227 of file oct-specfun.cc.

References airy(), Array< T, Alloc >::dims(), ierr, and dim_vector::numel().

besselh1() [1/16]

FloatComplexMatrix besselh1	(	const FloatMatrix &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1324 of file oct-specfun.cc.

besselh1() [2/16]

FloatComplexMatrix besselh1	(	const FloatMatrix &	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1324 of file oct-specfun.cc.

besselh1() [3/16]

FloatComplexNDArray besselh1	(	const FloatNDArray &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1324 of file oct-specfun.cc.

besselh1() [4/16]

FloatComplexNDArray besselh1	(	const FloatNDArray &	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1324 of file oct-specfun.cc.

besselh1() [5/16]

FloatComplexMatrix besselh1	(	const FloatRowVector &	alpha,
		const FloatComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1324 of file oct-specfun.cc.

besselh1() [6/16]

ComplexMatrix besselh1	(	const Matrix &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 785 of file oct-specfun.cc.

besselh1() [7/16]

ComplexMatrix besselh1	(	const Matrix &	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 785 of file oct-specfun.cc.

besselh1() [8/16]

ComplexNDArray besselh1	(	const NDArray &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 785 of file oct-specfun.cc.

besselh1() [9/16]

ComplexNDArray besselh1	(	const NDArray &	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 785 of file oct-specfun.cc.

besselh1() [10/16]

ComplexMatrix besselh1	(	const RowVector &	alpha,
		const ComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 785 of file oct-specfun.cc.

besselh1() [11/16]

Complex besselh1	(	double	alpha,
		const Complex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 785 of file oct-specfun.cc.

besselh1() [12/16]

ComplexMatrix besselh1	(	double	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 785 of file oct-specfun.cc.

besselh1() [13/16]

ComplexNDArray besselh1	(	double	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 785 of file oct-specfun.cc.

besselh1() [14/16]

FloatComplex besselh1	(	float	alpha,
		const FloatComplex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 1324 of file oct-specfun.cc.

besselh1() [15/16]

FloatComplexMatrix besselh1	(	float	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1324 of file oct-specfun.cc.

besselh1() [16/16]

FloatComplexNDArray besselh1	(	float	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1324 of file oct-specfun.cc.

besselh2() [1/16]

FloatComplexMatrix besselh2	(	const FloatMatrix &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1325 of file oct-specfun.cc.

besselh2() [2/16]

FloatComplexMatrix besselh2	(	const FloatMatrix &	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1325 of file oct-specfun.cc.

besselh2() [3/16]

FloatComplexNDArray besselh2	(	const FloatNDArray &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1325 of file oct-specfun.cc.

besselh2() [4/16]

FloatComplexNDArray besselh2	(	const FloatNDArray &	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1325 of file oct-specfun.cc.

besselh2() [5/16]

FloatComplexMatrix besselh2	(	const FloatRowVector &	alpha,
		const FloatComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1325 of file oct-specfun.cc.

besselh2() [6/16]

ComplexMatrix besselh2	(	const Matrix &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 786 of file oct-specfun.cc.

besselh2() [7/16]

ComplexMatrix besselh2	(	const Matrix &	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 786 of file oct-specfun.cc.

besselh2() [8/16]

ComplexNDArray besselh2	(	const NDArray &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 786 of file oct-specfun.cc.

besselh2() [9/16]

ComplexNDArray besselh2	(	const NDArray &	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 786 of file oct-specfun.cc.

besselh2() [10/16]

ComplexMatrix besselh2	(	const RowVector &	alpha,
		const ComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 786 of file oct-specfun.cc.

besselh2() [11/16]

Complex besselh2	(	double	alpha,
		const Complex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 786 of file oct-specfun.cc.

References cbesi(), cbesj(), cbesk(), and cbesy().

besselh2() [12/16]

ComplexMatrix besselh2	(	double	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 786 of file oct-specfun.cc.

besselh2() [13/16]

ComplexNDArray besselh2	(	double	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 786 of file oct-specfun.cc.

besselh2() [14/16]

FloatComplex besselh2	(	float	alpha,
		const FloatComplex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 1325 of file oct-specfun.cc.

besselh2() [15/16]

FloatComplexMatrix besselh2	(	float	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1325 of file oct-specfun.cc.

besselh2() [16/16]

FloatComplexNDArray besselh2	(	float	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1325 of file oct-specfun.cc.

besseli() [1/16]

FloatComplexMatrix besseli	(	const FloatMatrix &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1322 of file oct-specfun.cc.

besseli() [2/16]

FloatComplexMatrix besseli	(	const FloatMatrix &	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1322 of file oct-specfun.cc.

besseli() [3/16]

FloatComplexNDArray besseli	(	const FloatNDArray &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1322 of file oct-specfun.cc.

besseli() [4/16]

FloatComplexNDArray besseli	(	const FloatNDArray &	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1322 of file oct-specfun.cc.

besseli() [5/16]

FloatComplexMatrix besseli	(	const FloatRowVector &	alpha,
		const FloatComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1322 of file oct-specfun.cc.

besseli() [6/16]

ComplexMatrix besseli	(	const Matrix &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 783 of file oct-specfun.cc.

besseli() [7/16]

ComplexMatrix besseli	(	const Matrix &	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 783 of file oct-specfun.cc.

besseli() [8/16]

ComplexNDArray besseli	(	const NDArray &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 783 of file oct-specfun.cc.

besseli() [9/16]

ComplexNDArray besseli	(	const NDArray &	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 783 of file oct-specfun.cc.

besseli() [10/16]

ComplexMatrix besseli	(	const RowVector &	alpha,
		const ComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 783 of file oct-specfun.cc.

besseli() [11/16]

Complex besseli	(	double	alpha,
		const Complex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 783 of file oct-specfun.cc.

besseli() [12/16]

ComplexMatrix besseli	(	double	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 783 of file oct-specfun.cc.

besseli() [13/16]

ComplexNDArray besseli	(	double	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 783 of file oct-specfun.cc.

besseli() [14/16]

FloatComplex besseli	(	float	alpha,
		const FloatComplex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 1322 of file oct-specfun.cc.

besseli() [15/16]

FloatComplexMatrix besseli	(	float	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1322 of file oct-specfun.cc.

besseli() [16/16]

FloatComplexNDArray besseli	(	float	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1322 of file oct-specfun.cc.

besselj() [1/16]

FloatComplexMatrix besselj	(	const FloatMatrix &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1320 of file oct-specfun.cc.

besselj() [2/16]

FloatComplexMatrix besselj	(	const FloatMatrix &	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1320 of file oct-specfun.cc.

besselj() [3/16]

FloatComplexNDArray besselj	(	const FloatNDArray &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1320 of file oct-specfun.cc.

besselj() [4/16]

FloatComplexNDArray besselj	(	const FloatNDArray &	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1320 of file oct-specfun.cc.

besselj() [5/16]

FloatComplexMatrix besselj	(	const FloatRowVector &	alpha,
		const FloatComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1320 of file oct-specfun.cc.

besselj() [6/16]

ComplexMatrix besselj	(	const Matrix &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 781 of file oct-specfun.cc.

besselj() [7/16]

ComplexMatrix besselj	(	const Matrix &	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 781 of file oct-specfun.cc.

besselj() [8/16]

ComplexNDArray besselj	(	const NDArray &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 781 of file oct-specfun.cc.

besselj() [9/16]

ComplexNDArray besselj	(	const NDArray &	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 781 of file oct-specfun.cc.

besselj() [10/16]

ComplexMatrix besselj	(	const RowVector &	alpha,
		const ComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 781 of file oct-specfun.cc.

besselj() [11/16]

Complex besselj	(	double	alpha,
		const Complex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 781 of file oct-specfun.cc.

besselj() [12/16]

ComplexMatrix besselj	(	double	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 781 of file oct-specfun.cc.

besselj() [13/16]

ComplexNDArray besselj	(	double	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 781 of file oct-specfun.cc.

besselj() [14/16]

FloatComplex besselj	(	float	alpha,
		const FloatComplex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 1320 of file oct-specfun.cc.

besselj() [15/16]

FloatComplexMatrix besselj	(	float	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1320 of file oct-specfun.cc.

besselj() [16/16]

FloatComplexNDArray besselj	(	float	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1320 of file oct-specfun.cc.

besselk() [1/16]

FloatComplexMatrix besselk	(	const FloatMatrix &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1323 of file oct-specfun.cc.

besselk() [2/16]

FloatComplexMatrix besselk	(	const FloatMatrix &	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1323 of file oct-specfun.cc.

besselk() [3/16]

FloatComplexNDArray besselk	(	const FloatNDArray &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1323 of file oct-specfun.cc.

besselk() [4/16]

FloatComplexNDArray besselk	(	const FloatNDArray &	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1323 of file oct-specfun.cc.

besselk() [5/16]

FloatComplexMatrix besselk	(	const FloatRowVector &	alpha,
		const FloatComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1323 of file oct-specfun.cc.

besselk() [6/16]

ComplexMatrix besselk	(	const Matrix &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 784 of file oct-specfun.cc.

besselk() [7/16]

ComplexMatrix besselk	(	const Matrix &	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 784 of file oct-specfun.cc.

besselk() [8/16]

ComplexNDArray besselk	(	const NDArray &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 784 of file oct-specfun.cc.

besselk() [9/16]

ComplexNDArray besselk	(	const NDArray &	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 784 of file oct-specfun.cc.

besselk() [10/16]

ComplexMatrix besselk	(	const RowVector &	alpha,
		const ComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 784 of file oct-specfun.cc.

besselk() [11/16]

Complex besselk	(	double	alpha,
		const Complex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 784 of file oct-specfun.cc.

besselk() [12/16]

ComplexMatrix besselk	(	double	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 784 of file oct-specfun.cc.

besselk() [13/16]

ComplexNDArray besselk	(	double	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 784 of file oct-specfun.cc.

besselk() [14/16]

FloatComplex besselk	(	float	alpha,
		const FloatComplex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 1323 of file oct-specfun.cc.

besselk() [15/16]

FloatComplexMatrix besselk	(	float	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1323 of file oct-specfun.cc.

besselk() [16/16]

FloatComplexNDArray besselk	(	float	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1323 of file oct-specfun.cc.

bessely() [1/16]

FloatComplexMatrix bessely	(	const FloatMatrix &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1321 of file oct-specfun.cc.

bessely() [2/16]

FloatComplexMatrix bessely	(	const FloatMatrix &	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1321 of file oct-specfun.cc.

bessely() [3/16]

FloatComplexNDArray bessely	(	const FloatNDArray &	alpha,
		const FloatComplex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1321 of file oct-specfun.cc.

bessely() [4/16]

FloatComplexNDArray bessely	(	const FloatNDArray &	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1321 of file oct-specfun.cc.

bessely() [5/16]

FloatComplexMatrix bessely	(	const FloatRowVector &	alpha,
		const FloatComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1321 of file oct-specfun.cc.

bessely() [6/16]

ComplexMatrix bessely	(	const Matrix &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 782 of file oct-specfun.cc.

bessely() [7/16]

ComplexMatrix bessely	(	const Matrix &	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 782 of file oct-specfun.cc.

bessely() [8/16]

ComplexNDArray bessely	(	const NDArray &	alpha,
		const Complex &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 782 of file oct-specfun.cc.

bessely() [9/16]

ComplexNDArray bessely	(	const NDArray &	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 782 of file oct-specfun.cc.

bessely() [10/16]

ComplexMatrix bessely	(	const RowVector &	alpha,
		const ComplexColumnVector &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 782 of file oct-specfun.cc.

bessely() [11/16]

Complex bessely	(	double	alpha,
		const Complex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 782 of file oct-specfun.cc.

bessely() [12/16]

ComplexMatrix bessely	(	double	alpha,
		const ComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 782 of file oct-specfun.cc.

bessely() [13/16]

ComplexNDArray bessely	(	double	alpha,
		const ComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 782 of file oct-specfun.cc.

bessely() [14/16]

FloatComplex bessely	(	float	alpha,
		const FloatComplex &	x,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 1321 of file oct-specfun.cc.

bessely() [15/16]

FloatComplexMatrix bessely	(	float	alpha,
		const FloatComplexMatrix &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1321 of file oct-specfun.cc.

bessely() [16/16]

FloatComplexNDArray bessely	(	float	alpha,
		const FloatComplexNDArray &	x,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1321 of file oct-specfun.cc.

biry() [1/6]

Complex biry	(	const Complex &	z,
		bool	deriv,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 1338 of file oct-specfun.cc.

References F77_FUNC(), ierr, and zbiry().

Referenced by biry(), biry(), biry(), and biry().

biry() [2/6]

ComplexMatrix biry	(	const ComplexMatrix &	z,
		bool	deriv,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1361 of file oct-specfun.cc.

References biry(), Array< T, Alloc >::cols(), ierr, and Array< T, Alloc >::rows().

biry() [3/6]

ComplexNDArray biry	(	const ComplexNDArray &	z,
		bool	deriv,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1379 of file oct-specfun.cc.

References biry(), Array< T, Alloc >::dims(), ierr, and dim_vector::numel().

biry() [4/6]

FloatComplex biry	(	const FloatComplex &	z,
		bool	deriv,
		bool	scaled,
		octave_idx_type &	ierr
	)

Definition at line 1395 of file oct-specfun.cc.

References cbiry(), F77_CMPLX_ARG, F77_CONST_CMPLX_ARG, F77_FUNC(), and ierr.

biry() [5/6]

FloatComplexMatrix biry	(	const FloatComplexMatrix &	z,
		bool	deriv,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1419 of file oct-specfun.cc.

References biry(), Array< T, Alloc >::cols(), ierr, and Array< T, Alloc >::rows().

biry() [6/6]

FloatComplexNDArray biry	(	const FloatComplexNDArray &	z,
		bool	deriv,
		bool	scaled,
		Array< octave_idx_type > &	ierr
	)

Definition at line 1437 of file oct-specfun.cc.

References biry(), Array< T, Alloc >::dims(), ierr, and dim_vector::numel().

dawson() [1/4]

Complex dawson

(

const Complex &

x

)

Definition at line 1459 of file oct-specfun.cc.

References Faddeeva::Dawson(), and x.

dawson() [2/4]

FloatComplex dawson

(

const FloatComplex &

x

)

Definition at line 1465 of file oct-specfun.cc.

References Faddeeva::Dawson(), and x.

dawson() [3/4]

double dawson

(

double

x

)

Definition at line 1454 of file oct-specfun.cc.

References Faddeeva::Dawson(), and x.

Referenced by Fdawson(), octave_complex::map(), octave_complex_matrix::map(), octave_sparse_complex_matrix::map(), octave_float_scalar::map(), octave_float_complex::map(), octave_float_complex_matrix::map(), octave_float_matrix::map(), octave_matrix::map(), octave_sparse_matrix::map(), and octave_scalar::map().

dawson() [4/4]

float dawson

(

float

x

)

Definition at line 1456 of file oct-specfun.cc.

References Faddeeva::Dawson(), and x.

ellipj() [1/2]

void ellipj	(	const Complex &	u,
		double	m,
		Complex &	sn,
		Complex &	cn,
		Complex &	dn,
		double &	err
	)

Definition at line 1547 of file oct-specfun.cc.

References ellipj().

ellipj() [2/2]

void ellipj	(	double	u,
		double	m,
		double &	sn,
		double &	cn,
		double &	dn,
		double &	err
	)

Definition at line 1474 of file oct-specfun.cc.

References lo_ieee_nan_value().

Referenced by ellipj().

erf() [1/2]

Complex erf

(

const Complex &

x

)

Definition at line 1575 of file oct-specfun.cc.

References Faddeeva::erf(), and x.

Referenced by Faddeeva_erf(), Faddeeva_erf_re(), Faddeeva_erfi(), Ferf(), octave_complex::map(), octave_complex_matrix::map(), octave_sparse_complex_matrix::map(), octave_float_scalar::map(), octave_float_complex::map(), octave_float_complex_matrix::map(), octave_float_matrix::map(), octave_matrix::map(), octave_sparse_matrix::map(), and octave_scalar::map().

erf() [2/2]

FloatComplex erf

(

const FloatComplex &

x

)

Definition at line 1581 of file oct-specfun.cc.

References Faddeeva::erf(), and x.

erfc() [1/2]

Complex erfc

(

const Complex &

x

)

Definition at line 1590 of file oct-specfun.cc.

References Faddeeva::erfc(), and x.

Referenced by Faddeeva_erfc_re(), Ferfc(), octave_complex::map(), octave_complex_matrix::map(), octave_sparse_complex_matrix::map(), octave_float_scalar::map(), octave_float_complex::map(), octave_float_complex_matrix::map(), octave_float_matrix::map(), octave_matrix::map(), octave_sparse_matrix::map(), and octave_scalar::map().

erfc() [2/2]

FloatComplex erfc

(

const FloatComplex &

x

)

Definition at line 1596 of file oct-specfun.cc.

References Faddeeva::erfc(), and x.

erfcinv() [1/2]

double erfcinv

(

double

x

)

Definition at line 1684 of file oct-specfun.cc.

References x.

Referenced by Ferfcinv(), octave_float_scalar::map(), octave_float_matrix::map(), octave_matrix::map(), octave_sparse_matrix::map(), and octave_scalar::map().

erfcinv() [2/2]

float erfcinv

(

float

x

)

Definition at line 1690 of file oct-specfun.cc.

References x.

erfcx() [1/4]

Complex erfcx

(

const Complex &

x

)

Definition at line 1702 of file oct-specfun.cc.

References Faddeeva::erfcx(), and x.

erfcx() [2/4]

FloatComplex erfcx

(

const FloatComplex &

x

)

Definition at line 1708 of file oct-specfun.cc.

References Faddeeva::erfcx(), and x.

erfcx() [3/4]

double erfcx

(

double

x

)

Definition at line 1697 of file oct-specfun.cc.

References Faddeeva::erfcx(), and x.

Referenced by Faddeeva_Dawson(), Faddeeva_erf_re(), Faddeeva_erfc(), Faddeeva_erfc_re(), Faddeeva_w(), Ferfcx(), octave_complex::map(), octave_complex_matrix::map(), octave_sparse_complex_matrix::map(), octave_float_scalar::map(), octave_float_complex::map(), octave_float_complex_matrix::map(), octave_float_matrix::map(), octave_matrix::map(), octave_sparse_matrix::map(), and octave_scalar::map().

erfcx() [4/4]

float erfcx

(

float

x

)

Definition at line 1699 of file oct-specfun.cc.

References Faddeeva::erfcx(), and x.

erfi() [1/4]

Complex erfi

(

const Complex &

x

)

Definition at line 1723 of file oct-specfun.cc.

References Faddeeva::erfi(), and x.

erfi() [2/4]

FloatComplex erfi

(

const FloatComplex &

x

)

Definition at line 1729 of file oct-specfun.cc.

References Faddeeva::erfi(), and x.

erfi() [3/4]

double erfi

(

double

x

)

Definition at line 1718 of file oct-specfun.cc.

References Faddeeva::erfi(), and x.

Referenced by Ferfi(), octave_complex::map(), octave_complex_matrix::map(), octave_sparse_complex_matrix::map(), octave_float_scalar::map(), octave_float_complex::map(), octave_float_complex_matrix::map(), octave_float_matrix::map(), octave_matrix::map(), octave_sparse_matrix::map(), and octave_scalar::map().

erfi() [4/4]

float erfi

(

float

x

)

Definition at line 1720 of file oct-specfun.cc.

References Faddeeva::erfi(), and x.

erfinv() [1/2]

double erfinv

(

double

x

)

Definition at line 1810 of file oct-specfun.cc.

References x.

Referenced by Ferfinv(), octave_float_scalar::map(), octave_float_matrix::map(), octave_matrix::map(), octave_sparse_matrix::map(), and octave_scalar::map().

erfinv() [2/2]

float erfinv

(

float

x

)

Definition at line 1816 of file oct-specfun.cc.

References x.

expm1() [1/2]

Complex expm1

(

const Complex &

x

)

Definition at line 1822 of file oct-specfun.cc.

References expm1(), and x.

Referenced by expm1(), expm1(), Fexpm1(), octave_complex::map(), octave_complex_matrix::map(), octave_sparse_complex_matrix::map(), octave_float_scalar::map(), octave_float_complex::map(), octave_float_complex_matrix::map(), octave_float_matrix::map(), octave_matrix::map(), octave_sparse_matrix::map(), and octave_scalar::map().

expm1() [2/2]

FloatComplex expm1

(

const FloatComplex &

x

)

Definition at line 1841 of file oct-specfun.cc.

References expm1(), and x.

fortran_psifn< double >()

template<>

void fortran_psifn< double > ( double  z, octave_idx_type  n_arg, double &  ans, octave_idx_type &  ierr  )

inline

Definition at line 2108 of file oct-specfun.cc.

References dpsifn(), F77_XFCN, and ierr.

fortran_psifn< float >()

template<>

void fortran_psifn< float > ( float  z, octave_idx_type  n_arg, float &  ans, octave_idx_type &  ierr  )

inline

Definition at line 2120 of file oct-specfun.cc.

References F77_XFCN, ierr, and psifn().

gamma() [1/2]

double gamma

(

double

x

)

Definition at line 1860 of file oct-specfun.cc.

References x.

Referenced by xpsi().

gamma() [2/2]

float gamma

(

float

x

)

Definition at line 1883 of file oct-specfun.cc.

References x.

log1p() [1/2]

Complex log1p

(

const Complex &

x

)

Definition at line 1906 of file oct-specfun.cc.

References log1p(), and x.

Referenced by Flog1p(), log1p(), log1p(), octave_complex::map(), octave_complex_matrix::map(), octave_sparse_complex_matrix::map(), octave_float_scalar::map(), octave_float_complex::map(), octave_float_complex_matrix::map(), octave_float_matrix::map(), octave_matrix::map(), octave_sparse_matrix::map(), octave_scalar::map(), rc_log1p(), and rc_log1p().

log1p() [2/2]

FloatComplex log1p

(

const FloatComplex &

x

)

Definition at line 1925 of file oct-specfun.cc.

References log1p(), and x.

psi() [1/6]

Complex psi

(

const Complex &

z

)

Definition at line 2099 of file oct-specfun.cc.

References xpsi().

psi() [2/6]

FloatComplex psi

(

const FloatComplex &

z

)

Definition at line 2101 of file oct-specfun.cc.

References xpsi().

psi() [3/6]

double psi

(

double

z

)

Definition at line 2048 of file oct-specfun.cc.

References xpsi().

Referenced by ddastp(), ddstp(), filter(), xpsi(), and xpsi().

psi() [4/6]

float psi

(

float

z

)

Definition at line 2050 of file oct-specfun.cc.

References xpsi().

psi() [5/6]

double psi	(	octave_idx_type	n,
		double	z
	)

Definition at line 2159 of file oct-specfun.cc.

References xpsi().

psi() [6/6]

float psi	(	octave_idx_type	n,
		float	z
	)

Definition at line 2161 of file oct-specfun.cc.

References xpsi().

rc_lgamma() [1/2]

Complex rc_lgamma

(

double

x

)

Definition at line 2164 of file oct-specfun.cc.

References x.

rc_lgamma() [2/2]

FloatComplex rc_lgamma

(

float

x

)

Definition at line 2183 of file oct-specfun.cc.

References x.

rc_log1p() [1/2]

Complex rc_log1p

(

double

x

)

Definition at line 2202 of file oct-specfun.cc.

References log1p(), and x.

rc_log1p() [2/2]

FloatComplex rc_log1p

(

float

x

)

Definition at line 2210 of file oct-specfun.cc.

References log1p(), and x.

xlog() [1/2]

template<>

double xlog ( const double &  x )

inline

Definition at line 1954 of file oct-specfun.cc.

References x.

xlog() [2/2]

template<>

float xlog ( const float &  x )

inline

Definition at line 1961 of file oct-specfun.cc.

References x.

xpsi() [1/3]

template<typename T >

std::complex< T > xpsi

(

const std::complex< T > &

z

)

Definition at line 2054 of file oct-specfun.cc.

References psi().

xpsi() [2/3]

template<typename T >

T xpsi	(	octave_idx_type	n,
		T	z
	)

Definition at line 2133 of file oct-specfun.cc.

References gamma(), and ierr.

xpsi() [3/3]

template<typename T >

T xpsi

(

T

z

)

Definition at line 1995 of file oct-specfun.cc.

References psi().

Referenced by psi(), psi(), psi(), psi(), psi(), and psi().