---
name: "Math::GSL::Sys"
section: "3pm"
platform: "linux"
package: "libmath-gsl-perl"
version: "0.45-2+b1"
release: "Debian 13 (Trixie)"
platforms: ["linux"]
url: "https://new.carta.tech/Math::GSL::Sys"
---

# Math::GSL::Sys(3pm)

Misc Math Functions

## NAME

Math::GSL::Sys - Misc Math Functions

## SYNOPSIS

```
    use Math::GSL::Sys qw/:all/;
```

## DESCRIPTION

This module contains various useful math functions that are not usually provided by standard libraries.

- •

  `gsl_log1p($x)`

  This function computes the value of \\log(1+$x) in a way that is accurate for small `$x`. It provides an alternative to the BSD math function log1p(x).

- •

  `gsl_expm1($x)`

  This function computes the value of \\exp($x)-1 in a way that is accurate for small `$x`. It provides an alternative to the BSD math function expm1(x).

- •

  `"gsl_hypot($x, $y)"`

  This function computes the value of \\sqrt{$x^2 + `$y`^2} in a way that avoids overflow. It provides an alternative to the BSD math function hypot($x,$y).

- •

  `"gsl_hypot3($x, $y, $z)"`

  This function computes the value of \\sqrt{$x^2 + `$y`^2 + `$z`^2} in a way that avoids overflow.

- •

  `gsl_acosh($x)`

  This function computes the value of \\arccosh($x). It provides an alternative to the standard math function acosh($x).

- •

  `gsl_asinh($x)`

  This function computes the value of \\arcsinh($x). It provides an alternative to the standard math function asinh($x).

- •

  `gsl_atanh($x)`

  This function computes the value of \\arctanh($x). It provides an alternative to the standard math function atanh($x).

- •

  `gsl_isnan($x)`

  This function returns 1 if `$x` is not-a-number.

- •

  `gsl_isinf($x)`

  This function returns +1 if `$x` is positive infinity, -1 if `$x` is negative infinity and 0 otherwise.

- •

  `gsl_finite($x)`

  This function returns 1 if `$x` is a real number, and 0 if it is infinite or not-a-number.

- •

  `"gsl_posinf "`

- •

  `"gsl_neginf "`

- •

  `"gsl_fdiv "`

- •

  `"gsl_coerce_double "`

- •

  `"gsl_coerce_float "`

- •

  `"gsl_coerce_long_double "`

- •

  `"gsl_ldexp($x, $e)"`

  This function computes the value of `$x` \* 2\*\*$e. It provides an alternative to the standard math function ldexp($x,$e).

- •

  `gsl_frexp($x)`

  This function splits the number `$x` into its normalized fraction f and exponent e, such that `$x` = f \* 2^e and 0.5 \<= f \< 1. The function returns f and then the exponent in e. If `$x` is zero, both f and e are set to zero. This function provides an alternative to the standard math function frexp(x, e).

- •

  `"gsl_fcmp($x, $y, $epsilon)"`

  This function determines whether `$x` and `$y` are approximately equal to a relative accuracy `$epsilon`. The relative accuracy is measured using an interval of size 2 \\delta, where \\delta = 2^k \\epsilon and k is the maximum base-2 exponent of `$x` and `$y` as computed by the function frexp. If `$x` and `$y` lie within this interval, they are considered approximately equal and the function returns 0. Otherwise if `$x` \< `$y`, the function returns -1, or if `$x` \> `$y`, the function returns +1. Note that `$x` and `$y` 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.

For more information on the functions, we refer you to the GSL official documentation: \<http://www.gnu.org/software/gsl/manual/html\_node/\>

## AUTHORS

Jonathan "Duke" Leto \<jonathan@leto.net\> and Thierry Moisan \<thierry.moisan@gmail.com\>

## COPYRIGHT AND LICENSE

Copyright (C) 2008-2024 Jonathan "Duke" Leto and Thierry Moisan

This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself.