Mathematical Library

Published Aug 15, 2023Updated Oct 21, 2023

The mathematical library contains Lua’s built-in functions that relate to math. These math functions include those relating to trigonometry (like sin and cos), exponents (exp or ^), logs (logN), rounding (floor, ceil), and a variety of other operations.

Math Functions

The math library includes a range of convenient functions that include the following:

Mathematical Library

.log(): Calculates the natural logarithmic value of a number.
abs(): Returns the absolute value of a given number.
acos(): Returns the arc cosine of the argument, in radians.
asin(): Returns the inverse sine in radians of a given value.
atan(): Calculates the arctangent (inverse tangent) of a given number.
ceil(): Returns the smallest integer greater than or equal to a given value.
cos(): Returns the cosine of an angle represented in radians.
deg(): Converts angles from radians to degrees.
exp(): Used to calculate the exponential value of a number.
floor(): Used to round down a value to the closest integer less than or equal to that value.
fmod(): Returns the remainder of the quotient of two arguments.
max(): Used to return the maximum value among a set of numerical input values.
maxinteger: Returns the largest possible integer value.
min(): Returns the smallest value from a series of given numbers.
mininteger: Returns the smallest possible integer value.
modf(): Used to extract the integral and fractional parts of a given number.
rad(): Converts a number given in degrees to radians.
random(): Generates pseudo-random numbers based on a specified range.
randomseed(): Used to initialize a seed for the random number generator.
sin(): Returns the sine of an angle given in radians.
sqrt(): Returns the result of the square root operation on a numeric variable.
tan(): Calculates the tangent of an angle.
tointeger(): Used to convert a given value to an integer if possible.
type(): Takes a number argument and returns its type.
ult(): Compares the absolute value of two integers and returns true if the first is less than the second.