Returns the absolute value of x. (integer/float)

math.acos (x)

Returns the arc cosine of x (in radians).

math.asin (x)

Returns the arc sine of x (in radians).

math.atan (y [, x])

Returns the arc tangent of y/x (in radians), but uses the signs of both arguments to find the quadrant of the result. (It also handles correctly the case of x being zero.)

The default value for x is 1, so that the call math.atan(y) returns the arc tangent of y.

math.ceil (x)

Returns the smallest integral value larger than or equal to x.

math.cos (x)

Returns the cosine of x (assumed to be in radians).

math.deg (x)

Converts the angle from radians to degrees.

math.exp (x)

Returns the value ex (where e is the base of natural logarithms).

math.floor (x)

Returns the remainder of the division of x by y that rounds the quotient towards zero. (integer/float)

math.huge

The float value HUGE_VAL, a value larger than any other numeric value.

math.log (x [, base])

Returns the logarithm of x in the given base. The default for base is e (so that the function returns the natural logarithm of x).

math.max (x, ···)

Returns the argument with the maximum value, according to the Lua operator <. (integer/float)

math.maxinteger

An integer with the maximum value for an integer.

math.min (x, ···)

Returns the argument with the minimum value, according to the Lua operator <. (integer/float)

math.mininteger

An integer with the minimum value for an integer.

math.modf (x)

Returns the integral part of x and the fractional part of x. Its second result is always a float.

math.pi

The value of π.

math.random ([m [, n]])

When called without arguments, returns a pseudo-random float with uniform distribution in the range [0,1). When called with two integers m and , math.random returns a pseudo-random integer with uniform distribution in the range [m, n]. (The value n-m cannot be negative and must fit in a Lua integer.) The call math.random(n) is equivalent to math.random(1,n).

This function is an interface to the underling pseudo-random generator function provided by C.

math.randomseed (x)

Sets x as the “seed” for the pseudo-random generator: equal seeds produce equal sequences of numbers.

math.sin (x)

Returns the sine of x (assumed to be in radians).

math.sqrt (x)

Returns the square root of x. (You can also use the expression x^0.5 to compute this value.)

math.tan (x)

Returns the tangent of x (assumed to be in radians).

math.tointeger (x)

If the value x is convertible to an integer, returns that integer. Otherwise, returns nil.

math.type (x)

Returns “integer“ if x is an integer, “float“ if it is a float, or nil if x is not a number.

math.ult (m, n)

Returns a boolean, true if and only if integer m is below integer when they are compared as unsigned integers.