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.\" ========================================================================
.\"
.IX Title "Math::GSL::Diff 3pm"
.TH Math::GSL::Diff 3pm "2019-02-23" "perl v5.28.1" "User Contributed Perl Documentation"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
.\" way too many mistakes in technical documents.
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.SH "NAME"
Math::GSL::Diff \- Numerical differentiation routines
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
.Vb 1
\&    use Math::GSL::Diff qw/:all/;
.Ve
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
Here is a list of all the functions included in this module :
.ie n .IP """gsl_diff_central""" 4
.el .IP "\f(CWgsl_diff_central\fR" 4
.IX Item "gsl_diff_central"
This function computes the numerical derivative of the function f
at the point x using an adaptive central difference algorithm.
The result is an array where the first position is an error code (0 for success),
the second is derivative value, and the third is an estimate of its absolute error.
.Sp
.Vb 2
\&   my ($success, $result, $error) =
\&         gsl_diff_central(sub { return $_[0] ** 1.5 }, 2.0);
.Ve
.ie n .IP """gsl_diff_backward""" 4
.el .IP "\f(CWgsl_diff_backward\fR" 4
.IX Item "gsl_diff_backward"
This function computes the numerical derivative of the function f 
at the point x using an adaptive forward difference algorithm.
Its usage is similar to \f(CW\*(C`gsl_diff_central\*(C'\fR.
.Sp
.Vb 2
\&   my ($success, $result, $error) =
\&          gsl_diff_backward(sub { return $_[0] ** 1.5 }, 0.0);
.Ve
.ie n .IP """gsl_diff_forward""" 4
.el .IP "\f(CWgsl_diff_forward\fR" 4
.IX Item "gsl_diff_forward"
This function computes the numerical derivative of the
function f at the point x using an adaptive backward difference algorithm.
Its usage is similar to \f(CW\*(C`gsl_diff_central\*(C'\fR.
.Sp
.Vb 2
\&   my ($success, $result, $error) =
\&          gsl_diff_forward(sub { return $_[0] ** 1.5 }, 1.0);
.Ve
.SH "EXAMPLES"
.IX Header "EXAMPLES"
.SH "AUTHORS"
.IX Header "AUTHORS"
Jonathan \*(L"Duke\*(R" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
.SH "COPYRIGHT AND LICENSE"
.IX Header "COPYRIGHT AND LICENSE"
Copyright (C) 2008\-2011 Jonathan \*(L"Duke\*(R" Leto and Thierry Moisan
.PP
This program is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.