Math(3) User Contributed Perl Documentation Math(3)NAMEPDL::Math - extended mathematical operations and special functions
SYNOPSIS
use PDL::Math;
use PDL::Graphics::TriD;
imag3d [SURF2D,bessj0(rvals(zeroes(50,50))/2)];
DESCRIPTION
This module extends PDL with more advanced mathematical functions than
provided by standard Perl.
All the functions have one input pdl, and one output, unless otherwise
stated.
Many of the functions are linked from the system maths library or the
Cephes maths library (determined when PDL is compiled); a few are
implemented entirely in PDL.
FUNCTIONS
acos
Signature: (a(); [o]b())
The usual trigonometric function. Works inplace.
asin
Signature: (a(); [o]b())
The usual trigonometric function. Works inplace.
atan
Signature: (a(); [o]b())
The usual trigonometric function. Works inplace.
cosh
Signature: (a(); [o]b())
The standard hyperbolic function. Works inplace.
sinh
Signature: (a(); [o]b())
The standard hyperbolic function. Works inplace.
tan
Signature: (a(); [o]b())
The usual trigonometric function. Works inplace.
tanh
Signature: (a(); [o]b())
The standard hyperbolic function. Works inplace.
ceil
Signature: (a(); [o]b())
Round to integral values in floating-point format. Works inplace.
floor
Signature: (a(); [o]b())
Round to integral values in floating-point format. Works inplace.
rint
Signature: (a(); [o]b())
Round to integral values in floating-point format. Works inplace.
pow
Signature: (a(); b(); [o]c())
Synonym for `**'. Works inplace.
acosh
Signature: (a(); [o]b())
The standard hyperbolic function. Works inplace.
asinh
Signature: (a(); [o]b())
The standard hyperbolic function. Works inplace.
atanh
Signature: (a(); [o]b())
The standard hyperbolic function. Works inplace.
erf
Signature: (a(); [o]b())
The error function. Works inplace.
erfc
Signature: (a(); [o]b())
The complement of the error function. Works inplace.
bessj0
Signature: (a(); [o]b())
The standard Bessel function. Works inplace.
bessj1
Signature: (a(); [o]b())
The standard Bessel function. Works inplace.
bessy0
Signature: (a(); [o]b())
The standard Bessel function. Works inplace.
bessy1
Signature: (a(); [o]b())
The standard Bessel function. Works inplace.
bessjn
Signature: (a(); int n(); [o]b())
The standard Bessel function. This has a second integer argument which
gives the order of the function required.
Works inplace.
bessyn
Signature: (a(); int n(); [o]b())
The standard Bessel function. This has a second integer argument which
gives the order of the function required.
Works inplace.
lgamma
Signature: (a(); [o]b(); int[o]s())
log gamma function
This returns 2 piddles -- the first set gives the log(gamma) values,
while the second set, of integer values, gives the sign of the gamma
function. This is useful for determining factorials, amongst other
things.
badmask
Signature: (a(); b(); [o]c())
Clears all "infs" and "nans" in $a to the corresponding value in $b.
badmask can be run with $a inplace:
badmask($a->inplace,0);
$a->inplace->badmask(0);
isfinite
Signature: (a(); int [o]mask())
Sets $mask true if $a is not a "NaN" or "inf" (either positive or
negative). Works inplace.
erfi
Signature: (a(); [o]b())
The inverse of the error function. Works inplace.
ndtri
Signature: (a(); [o]b())
The value for which the area under the Gaussian probability density
function (integrated from minus infinity) is equal to the argument (cf
erfi). Works inplace.
polyroots
Signature: (cr(n); ci(n); [o]rr(m); [o]ri(m))
Complex roots of a complex polynomial, given coefficients in order of
decreasing powers.
($rr, $ri) = polyroots($cr, $ci);
BUGS
Hasn't been tested on all platforms to ensure Cephes versions are
picked up automatically and used correctly.
AUTHOR
Copyright (C) R.J.R. Williams 1997 (rjrw@ast.leeds.ac.uk), Karl
Glazebrook (kgb@aaoepp.aao.gov.au) and Tuomas J. Lukka
(Tuomas.Lukka@helsinki.fi). Portions (C) Craig DeForest 2002
(deforest@boulder.swri.edu).
All rights reserved. There is no warranty. You are allowed to
redistribute this software / documentation under certain conditions.
For details, see the file COPYING in the PDL distribution. If this file
is separated from the PDL distribution, the PDL copyright notice should
be included in the file.
perl v5.10.0 2008-08-29 Math(3)
