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+--- standard mathematical functions.
+-- @module math
+
+local math = {}
+
+---
+-- Returns the absolute value of `x`.
+function math.abs(x) end
+
+---
+-- Returns the arc cosine of `x` (in radians).
+function math.acos(x) end
+
+---
+-- Returns the arc sine of `x` (in radians).
+function math.asin(x) end
+
+---
+-- Returns the arc tangent of `x` (in radians).
+function math.atan(x) end
+
+---
+-- 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.)
+function math.atan2(y, x) end
+
+---
+-- Returns the smallest integer larger than or equal to `x`.
+function math.ceil(x) end
+
+---
+-- Returns the cosine of `x` (assumed to be in radians).
+function math.cos(x) end
+
+---
+-- Returns the hyperbolic cosine of `x`.
+function math.cosh(x) end
+
+---
+-- Returns the angle `x` (given in radians) in degrees.
+function math.deg(x) end
+
+---
+-- Returns the value *e^x*.
+function math.exp(x) end
+
+---
+-- Returns the largest integer smaller than or equal to `x`.
+function math.floor(x) end
+
+---
+-- Returns the remainder of the division of `x` by `y` that rounds the
+-- quotient towards zero.
+function math.fmod(x, y) end
+
+---
+-- 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).
+function math.frexp(x) end
+
+---
+-- The value `HUGE_VAL`, a value larger than or equal to any other
+-- numerical value.
+-- function math.huge end
+-- * `math.HUGE_VAL`: math.HUGE_VAL
+
+---
+-- Returns *m2^e* (`e` should be an integer).
+function math.ldexp(m, e) end
+
+---
+-- Returns the natural logarithm of `x`.
+function math.log(x) end
+
+---
+-- Returns the base-10 logarithm of `x`.
+function math.log10(x) end
+
+---
+-- Returns the maximum value among its arguments.
+function math.max(x, ...) end
+
+---
+-- Returns the minimum value among its arguments.
+function math.min(x, ...) end
+
+---
+-- Returns two numbers, the integral part of `x` and the fractional part of
+-- `x`.
+function math.modf(x) end
+
+---
+-- The value of *pi*.
+-- function math.pi end
+-- * `math.pi`: math.pi
+
+---
+-- Returns *x^y*. (You can also use the expression `x^y` to compute this
+-- value.)
+function math.pow(x, y) end
+
+---
+-- Returns the angle `x` (given in degrees) in radians.
+function math.rad(x) end
+
+---
+-- 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]*.
+function math.random(m , n) end
+
+---
+-- Sets `x` as the "seed" for the pseudo-random generator: equal seeds
+-- produce equal sequences of numbers.
+function math.randomseed(x) end
+
+---
+-- Returns the sine of `x` (assumed to be in radians).
+function math.sin(x) end
+
+---
+-- Returns the hyperbolic sine of `x`.
+function math.sinh(x) end
+
+---
+-- Returns the square root of `x`. (You can also use the expression `x^0.5`
+-- to compute this value.)
+function math.sqrt(x) end
+
+---
+-- Returns the tangent of `x` (assumed to be in radians).
+function math.tan(x) end
+
+---
+-- Returns the hyperbolic tangent of `x`.
+function math.tanh(x) end
+
+return math