Defines |
#define | DO_BESSEL(type, alpha, x, scaled, ierr, result) |
Enumerations |
enum | bessel_type {
BESSEL_J,
BESSEL_Y,
BESSEL_I,
BESSEL_K,
BESSEL_H1,
BESSEL_H2
} |
Functions |
octave_value_list | do_bessel (enum bessel_type type, const char *fn, const octave_value_list &args, int nargout) |
| DEFUN_DLD (besselj, args, nargout,"-*- texinfo -*-\n\
@deftypefn {Loadable Function} {[@var{j}, @var{ierr}] =} besselj (@var{alpha}, @var{x}, @var{opt})\n\
@deftypefnx {Loadable Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\
@deftypefnx {Loadable Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\
@deftypefnx {Loadable Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\
@deftypefnx {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\
Compute Bessel or Hankel functions of various kinds:\n\
\n\
@table @code\n\
@item besselj\n\
Bessel functions of the first kind. If the argument @var{opt} is supplied, \n\
the result is multiplied by @code{exp(-abs(imag(@var{x})))}.\n\
\n\
@item bessely\n\
Bessel functions of the second kind. If the argument @var{opt} is supplied,\n\
the result is multiplied by @code{exp(-abs(imag(@var{x})))}.\n\
\n\
@item besseli\n\
\n\
Modified Bessel functions of the first kind. If the argument @var{opt} is\n\
supplied, the result is multiplied by @code{exp(-abs(real(@var{x})))}.\n\
\n\
@item besselk\n\
\n\
Modified Bessel functions of the second kind. If the argument @var{opt} is\n\
supplied, the result is multiplied by @code{exp(@var{x})}.\n\
\n\
@item besselh\n\
Compute Hankel functions of the first (@var{k} = 1) or second (@var{k}\n\
= 2) kind. If the argument @var{opt} is supplied, the result is multiplied\n\
by @code{exp (-I*@var{x})} for @var{k} = 1 or @code{exp (I*@var{x})} for\n\
@var{k} = 2.\n\
@end table\n\
\n\
If @var{alpha} is a scalar, the result is the same size as @var{x}.\n\
If @var{x} is a scalar, the result is the same size as @var{alpha}.\n\
If @var{alpha} is a row vector and @var{x} is a column vector, the\n\
result is a matrix with @code{length (@var{x})} rows and\n\
@code{length (@var{alpha})} columns. Otherwise, @var{alpha} and\n\
@var{x} must conform and the result will be the same size.\n\
\n\
The value of @var{alpha} must be real. The value of @var{x} may be\n\
complex.\n\
\n\
If requested, @var{ierr} contains the following status information\n\
and is the same size as the result.\n\
\n\
@enumerate 0\n\
@item\n\
Normal return.\n\
\n\
@item\n\
Input error, return @code{NaN}.\n\
\n\
@item\n\
Overflow, return @code{Inf}.\n\
\n\
@item\n\
Loss of significance by argument reduction results in less than\n\
half of machine accuracy.\n\
\n\
@item\n\
Complete loss of significance by argument reduction, return @code{NaN}.\n\
\n\
@item\n\
Error---no computation, algorithm termination condition not met,\n\
return @code{NaN}.\n\
@end enumerate\n\
@end deftypefn") |
| DEFUN_DLD (bessely, args, nargout,"-*- texinfo -*-\n\
@deftypefn {Loadable Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\
See besselj.\n\
@end deftypefn") |
| DEFUN_DLD (besseli, args, nargout,"-*- texinfo -*-\n\
@deftypefn {Loadable Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\
See besselj.\n\
@end deftypefn") |
| DEFUN_DLD (besselk, args, nargout,"-*- texinfo -*-\n\
@deftypefn {Loadable Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\
See besselj.\n\
@end deftypefn") |
| DEFUN_DLD (besselh, args, nargout,"-*- texinfo -*-\n\
@deftypefn {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\
See besselj.\n\
@end deftypefn") |
| DEFUN_DLD (airy, args, nargout,"-*- texinfo -*-\n\
@deftypefn {Loadable Function} {[@var{a}, @var{ierr}] =} airy (@var{k}, @var{z}, @var{opt})\n\
Compute Airy functions of the first and second kind, and their\n\
derivatives.\n\
\n\
@example\n\
@group\n\
K Function Scale factor (if 'opt' is supplied)\n\
--- -------- ---------------------------------------\n\
0 Ai (Z) exp ((2/3) * Z * sqrt (Z))\n\
1 dAi(Z)/dZ exp ((2/3) * Z * sqrt (Z))\n\
2 Bi (Z) exp (-abs (real ((2/3) * Z *sqrt (Z))))\n\
3 dBi(Z)/dZ exp (-abs (real ((2/3) * Z *sqrt (Z))))\n\
@end group\n\
@end example\n\
\n\
The function call @code{airy (@var{z})} is equivalent to\n\
@code{airy (0, @var{z})}.\n\
\n\
The result is the same size as @var{z}.\n\
\n\
If requested, @var{ierr} contains the following status information and\n\
is the same size as the result.\n\
\n\
@enumerate 0\n\
@item\n\
Normal return.\n\
\n\
@item\n\
Input error, return @code{NaN}.\n\
\n\
@item\n\
Overflow, return @code{Inf}.\n\
\n\
@item\n\
Loss of significance by argument reduction results in less than half\n\
of machine accuracy.\n\
\n\
@item\n\
Complete loss of significance by argument reduction, return @code{NaN}.\n\
\n\
@item\n\
Error---no computation, algorithm termination condition not met,\n\
return @code{NaN}.\n\
@end enumerate\n\
@end deftypefn") |