NAME
PDL::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 integer values in floating-point format. Works inplace.
floor
Signature: (a(); [o]b())Round to integer values in floating-point format. Works inplace.
rint
Signature: (a(); [o]b())Round to integer values in floating-point format.
rint uses the 'round half to even' rounding method (also known as banker's rounding). Half-integers are rounded to the nearest even number. This avoids a slight statistical bias inherent in always rounding half-integers up or away from zero.
If you are looking to round half-integers up (regardless of sign), try floor($x+0.5). If you want to round half-integers away from zero, try floor(abs($x)+0.5)*($x<=>0). 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 regular Bessel function of the first kind, J_n Works inplace.
bessj1
Signature: (a(); [o]b())The regular Bessel function of the first kind, J_n Works inplace.
bessy0
Signature: (a(); [o]b())The regular Bessel function of the second kind, Y_n. Works inplace.
bessy1
Signature: (a(); [o]b())The regular Bessel function of the second kind, Y_n. Works inplace.
bessjn
Signature: (a(); int n(); [o]b())The regular Bessel function of the first kind, J_n . This takes a second int argument which gives the order of the function required. Works inplace.
bessyn
Signature: (a(); int n(); [o]b())The regular Bessel function of the first kind, Y_n . This takes a second int 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.