LIBM(3lua) | LUA Library Manual | LIBM(3lua)

# NAME

`libm` —
Lua interface to the math(3) library

# SYNOPSIS

`local lm = require 'libm'`

# DESCRIPTION

The `libm` Lua binding provides access to the math(3) library. If these functions are given an argument outside the domain of the function the return value will be NaN. This can be checked with lm.isnan().

Many of these functions have native equivalents in the Lua math library. Others, like round(3), cbrt(3), and the hyperbolic trigonometry functions, are not provided without an auxiliary module. The functions that are redundant are provided for completeness.

Since these functions map quite closely to the functions in the math library, detailed information about their behavior can be found in the man pages for each function in section 3 of the manual.

## List of Functions

Name | Man page | Description |
lm.acos | acos(3) | inverse trigonometric function |
lm.acosh | acosh(3) | inverse hyperbolic function |
lm.asin | asin(3) | inverse trigonometric function |
lm.asinh | asinh(3) | inverse hyperbolic function |
lm.atan | atan(3) | inverse trigonometric function |
lm.atanh | atanh(3) | inverse hyperbolic function |
lm.atan2 | atan2(3) | inverse trigonometric function |
lm.cbrt | sqrt(3) | cube root |
lm.ceil | ceil(3) | integer no less than |
lm.copysign | copysign(3) | copy sign bit |
lm.cos | cos(3) | trigonometric function |
lm.cosh | cosh(3) | hyperbolic function |
lm.erf | erf(3) | error function |
lm.erfc | erf(3) | complementary error function |
lm.exp | exp(3) | base e exponential |
lm.exp2 | exp2(3) | base 2 exponential |
lm.expm1 | expm1(3) | exp(x)-1 |
lm.fabs | fabs(3) | absolute value |
lm.fdim | erf(3) | positive difference |
lm.finite | finite(3) | test for finity |
lm.floor | floor(3) | integer no greater than |
lm.fma | fmod(3) | fused multiply-add |
lm.fmax | fmax(3) | maximum |
lm.fmin | fmin(3) | minimum |
lm.fmod | fmod(3) | remainder |
lm.hypot | hypot(3) | Euclidean distance |
lm.ilogb | ilogb(3) | exponent extraction |
lm.isinf | isinf(3) | test for infinity |
lm.isnan | isnan(3) | test for not-a-number |
lm.j0 | j0(3) | Bessel function |
lm.j1 | j0(3) | Bessel function |
lm.jn | j0(3) | Bessel function |
lm.lgamma | lgamma(3) | log gamma function |
lm.log | log(3) | natural logarithm |
lm.log10 | log(3) | logarithm to base 10 |
lm.log1p | log(3) | log(1+x) |
lm.nan | nan(3) | return quiet NaN |
lm.nextafter | nextafter(3) | next representable number |
lm.pow | pow(3) | exponential x**y |
lm.remainder | remainder(3) | remainder |
lm.rint | rint(3) | round to nearest integer |
lm.scalbn | scalbn(3) | exponent adjustment |
lm.sin | sin(3) | trigonometric function |
lm.sinh | sinh(3) | hyperbolic function |
lm.sqrt | sqrt(3) | square root |
lm.tan | tan(3) | trigonometric function |
lm.tanh | tanh(3) | hyperbolic function |
lm.trunc | trunc(3) | nearest integral value |
lm.y0 | j0(3) | Bessel function |
lm.y1 | j0(3) | Bessel function |
lm.yn | j0(3) | Bessel function |

## List of Defined Values

Name | Value | Description
lm.M_E | 2.7182818284590452354 | e
lm.M_LOG2E | 1.4426950408889634074 | log 2e
lm.M_LOG10E | 0.43429448190325182765 | log 10e
lm.M_LN2 | 0.69314718055994530942 | log e2
lm.M_LN10 | 2.30258509299404568402 | log e10
lm.M_PI | 3.14159265358979323846 | pi
lm.M_PI_2 | 1.57079632679489661923 | pi/2
lm.M_PI_4 | 0.78539816339744830962 | pi/4
lm.M_1_PI | 0.31830988618379067154 | 1/pi
lm.M_2_PI | 0.63661977236758134308 | 2/pi
lm.M_2_SQRTPI | 1.12837916709551257390 | 2/sqrt(pi)
lm.M_SQRT2 | 1.41421356237309504880 | sqrt(2)
lm.M_SQRT1_2 | 0.70710678118654752440 | 1/sqrt(2)

# NOTES

The functions finite, isfinite, isinf, and isnan return integers in the math library, the results are converted to lua boolean values by this interface.

# BUGS

The single precision float, and long double data types, implemented in several of the libm routines, are not supported by this interface.

The math library has a long development history, but if a bug exists there, it will certainly exist in this interface as well.

# HISTORY

A `libm` Lua binding appeared in NetBSD 9.4.

# AUTHORS

The `libm` Lua binding was written by Phillip Rulon.

November 2, 2022 | NetBSD 10.0