Mathematical Functions¶

Original document, see: http://www.lua.org/manual/5.1/manual.html

This library is an interface to the standard C-math library. It provides all its functions inside the table math.

math.abs¶

math.abs(x)¶: Returns the absolute value of x.

math.acos¶

math.acos(x)¶: Returns the arc cosine of x (in radians).

math.asin¶

math.asin(x)¶: Returns the arc sine of x (in radians).

math.atan¶

math.atan(x)¶: Returns the arc tangent of x (in radians).

math.atan2¶

math.atan2(y, x)¶: Returns the arc tangent of y/x (in radians), but uses the signs of both parameters to find the quadrant of the result. (It also handles correctly the case of x being zero.)

math.ceil¶

math.ceil(x)¶: Returns the smallest integer larger than or equal to x.

math.cos¶

math.cos(x)¶: Returns the cosine of x (assumed to be in radians).

math.cosh¶

math.cosh(x)¶: Returns the hyperbolic cosine of x.

math.deg¶

math.deg(x)¶: Returns the angle x (given in radians) in degrees.

math.exp¶

math.exp(x)¶: Returns the value e<sup>x</sup>.

math.floor¶

math.floor(x)¶: Returns the largest integer smaller than or equal to x.

math.fmod¶

math.fmod(x, y)¶: Returns the remainder of the division of x by y that rounds the quotient towards zero.

math.frexp¶

math.frexp(x)¶: Returns m and e such that x = m2^e, e is an integer and the absolute value of m is in the range [0.5, 1) (or zero when x is zero).

math.huge¶

math.huge: The value HUGE_VAL, a value larger than or equal to any other numerical value.

math.ldexp¶

math.ldexp(m, e)¶: Returns m2^e (e should be an integer).

math.log¶

math.log(x)¶: Returns the natural logarithm of x.

math.log10¶

math.log10(x)¶: Returns the base-10 logarithm of x.

math.max¶

math.max(x, ...)¶: Returns the maximum value among its arguments.

math.min¶

math.min(x, ...)¶: Returns the minimum value among its arguments.

math.modf¶

math.modf(x)¶: Returns two numbers, the integral part of x and the fractional part of x.

math.pi¶

math.pi: The value of pi.

math.pow¶

math.pow(x, y)¶: Returns x^y. (You can also use the expression x^y to compute this value.)

math.rad¶

math.rad(x)¶: Returns the angle x (given in degrees) in radians.

math.random¶

math.random([m[, n]])¶

This function is an interface to the simple pseudo-random generator function rand provided by ANSI-C. (No guarantees can be given for its statistical properties.)

When called without arguments, returns a uniform pseudo-random real number in the range [0,1). When called with an integer number m, math.random returns a uniform pseudo-random integer in the range [1, m]. When called with two integer numbers m and n, math.random returns a uniform pseudo-random integer in the range [m, n].

math.randomseed¶

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

math.sin¶

math.sin(x)¶: Returns the sine of x (assumed to be in radians).

math.sinh¶

math.sinh(x)¶: Returns the hyperbolic sine of x.

math.sqrt¶

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

math.tan¶

math.tan(x)¶: Returns the tangent of x (assumed to be in radians).

math.tanh¶

math.tanh(x)¶: Returns the hyperbolic tangent of x.

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