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.\" ========================================================================
.\"
.IX Title "Math::GSL::Sys 3pm"
.TH Math::GSL::Sys 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.
.if n .ad l
.nh
.SH "NAME"
Math::GSL::Sys \- Misc Math Functions
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
.Vb 1
\& use Math::GSL::Sys qw/:all/;
.Ve
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
This module contains various useful math functions that are not usually
provided by standard libraries.
.IP "\(bu" 4
\&\f(CW\*(C`gsl_log1p($x)\*(C'\fR
.Sp
This function computes the value of \elog(1+$x) in a way that is accurate for
small \f(CW$x\fR. It provides an alternative to the \s-1BSD\s0 math function log1p(x).
.IP "\(bu" 4
\&\f(CW\*(C`gsl_expm1($x)\*(C'\fR
.Sp
This function computes the value of \eexp($x)\-1 in a way that is accurate for
small \f(CW$x\fR. It provides an alternative to the \s-1BSD\s0 math function expm1(x).
.IP "\(bu" 4
\&\f(CW\*(C`gsl_hypot($x, $y)\*(C'\fR
.Sp
This function computes the value of \esqrt{$x^2 + \f(CW$y\fR^2} in a way that avoids
overflow. It provides an alternative to the \s-1BSD\s0 math function hypot($x,$y).
.IP "\(bu" 4
\&\f(CW\*(C`gsl_hypot3($x, $y, $z)\*(C'\fR
.Sp
This function computes the value of \esqrt{$x^2 + \f(CW$y\fR^2 + \f(CW$z\fR^2} in a way that
avoids overflow.
.IP "\(bu" 4
\&\f(CW\*(C`gsl_acosh($x)\*(C'\fR
.Sp
This function computes the value of \earccosh($x). It provides an alternative to
the standard math function acosh($x).
.IP "\(bu" 4
\&\f(CW\*(C`gsl_asinh($x)\*(C'\fR
.Sp
This function computes the value of \earcsinh($x). It provides an alternative to
the standard math function asinh($x).
.IP "\(bu" 4
\&\f(CW\*(C`gsl_atanh($x)\*(C'\fR
.Sp
This function computes the value of \earctanh($x). It provides an alternative to
the standard math function atanh($x).
.IP "\(bu" 4
\&\f(CW\*(C`gsl_isnan($x)\*(C'\fR
.Sp
This function returns 1 if \f(CW$x\fR is not-a-number.
.IP "\(bu" 4
\&\f(CW\*(C`gsl_isinf($x)\*(C'\fR
.Sp
This function returns +1 if \f(CW$x\fR is positive infinity, \-1 if \f(CW$x\fR is negative
infinity and 0 otherwise.
.IP "\(bu" 4
\&\f(CW\*(C`gsl_finite($x)\*(C'\fR
.Sp
This function returns 1 if \f(CW$x\fR is a real number, and 0 if it is infinite or not-a-number.
.IP "\(bu" 4
\&\f(CW\*(C`gsl_posinf \*(C'\fR
.IP "\(bu" 4
\&\f(CW\*(C`gsl_neginf \*(C'\fR
.IP "\(bu" 4
\&\f(CW\*(C`gsl_fdiv \*(C'\fR
.IP "\(bu" 4
\&\f(CW\*(C`gsl_coerce_double \*(C'\fR
.IP "\(bu" 4
\&\f(CW\*(C`gsl_coerce_float \*(C'\fR
.IP "\(bu" 4
\&\f(CW\*(C`gsl_coerce_long_double \*(C'\fR
.IP "\(bu" 4
\&\f(CW\*(C`gsl_ldexp($x, $e)\*(C'\fR
.Sp
This function computes the value of \f(CW$x\fR * 2**$e. It provides an alternative to
the standard math function ldexp($x,$e).
.IP "\(bu" 4
\&\f(CW\*(C`gsl_frexp($x)\*(C'\fR
.Sp
This function splits the number \f(CW$x\fR into its normalized fraction f and exponent
e, such that \f(CW$x\fR = f * 2^e and 0.5 <= f < 1. The function returns f and then the
exponent in e. If \f(CW$x\fR is zero, both f and e are set to zero. This function
provides an alternative to the standard math function frexp(x, e).
.IP "\(bu" 4
\&\f(CW\*(C`gsl_fcmp($x, $y, $epsilon)\*(C'\fR
.Sp
This function determines whether \f(CW$x\fR and \f(CW$y\fR are approximately equal to a
relative accuracy \f(CW$epsilon\fR. The relative accuracy is measured using an interval
of size 2 \edelta, where \edelta = 2^k \eepsilon and k is the maximum base\-2
exponent of \f(CW$x\fR and \f(CW$y\fR as computed by the function frexp. If \f(CW$x\fR and \f(CW$y\fR lie
within this interval, they are considered approximately equal and the function
returns 0. Otherwise if \f(CW$x\fR < \f(CW$y\fR, the function returns \-1, or if \f(CW$x\fR > \f(CW$y\fR, the
function returns +1. Note that \f(CW$x\fR and \f(CW$y\fR are compared to relative accuracy, so
this function is not suitable for testing whether a value is approximately
zero. The implementation is based on the package fcmp by T.C. Belding.
.PP
For more information on the functions, we refer you to the \s-1GSL\s0 offcial
documentation:
.SH "AUTHORS"
.IX Header "AUTHORS"
Jonathan \*(L"Duke\*(R" Leto and Thierry Moisan
.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.