Module math
Mathematical Functions.
This library is an interface to the standard C math library.
It provides all its functions inside the table math.
Type math
| math.abs(x) |
Returns the absolute value of |
| math.acos(x) |
Returns the arc cosine of |
| math.asin(x) |
Returns the arc sine of |
| math.atan(x) |
Returns the arc tangent of |
| math.atan2(y, x) |
Returns the arc tangent of |
| math.ceil(x) |
Returns the smallest integer larger than or equal to |
| math.cos(x) |
Returns the cosine of |
| math.cosh(x) |
Returns the hyperbolic cosine of |
| math.deg(x) |
Returns the angle |
| math.exp(x) |
Returns the value e^x. |
| math.floor(x) |
Returns the largest integer smaller than or equal to |
| math.fmod(x, y) |
Returns the remainder of the division of |
| math.frexp(x) |
Returns |
| math.huge |
The value |
| math.ldexp(m, e) |
Returns m2^e ( |
| math.log(x, base) |
Returns the logarithm of |
| math.max(x, ...) |
Returns the maximum value among its arguments. |
| math.min(x, ...) |
Returns the minimum value among its arguments. |
| math.modf(x) |
Returns two numbers, the integral part of |
| math.pi |
The value of pi. |
| math.pow(x, y) |
Returns x^y. |
| math.rad(x) |
Returns the angle |
| math.random(m, n) |
This function is an interface to the simple pseudo-random generator
function |
| math.randomseed(x) |
Sets |
| math.sin(x) |
Returns the sine of |
| math.sinh(x) |
Returns the hyperbolic sine of |
| math.sqrt(x) |
Returns the square root of |
| math.tan(x) |
Returns the tangent of |
| math.tanh(x) |
Returns the hyperbolic tangent of |
Type math
Field(s)
- math.abs(x)
-
Returns the absolute value of
x.Parameter
-
#number x:
Return value
#number:
-
- math.acos(x)
-
Returns the arc cosine of
x(in radians).Parameter
-
#number x:
Return value
#number:
-
- math.asin(x)
-
Returns the arc sine of
x(in radians).Parameter
-
#number x:
Return value
#number:
-
- math.atan(x)
-
Returns the arc tangent of
x(in radians).Parameter
-
#number x:
Return value
#number:
-
- 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
xbeing zero.)Parameters
-
#number y: -
#number x:
Return value
#number:
-
- math.ceil(x)
-
Returns the smallest integer larger than or equal to
x.Parameter
-
#number x:
Return value
#number:
-
- math.cos(x)
-
Returns the cosine of
x(assumed to be in radians).Parameter
-
#number x:
Return value
#number:
-
- math.cosh(x)
-
Returns the hyperbolic cosine of
x.Parameter
-
#number x:
Return value
#number:
-
- math.deg(x)
-
Returns the angle
x(given in radians) in degrees.Parameter
-
#number x:
Return value
#number:
-
- math.exp(x)
-
Returns the value e^x.
Parameter
-
#number x:
Return value
#number:
-
- math.floor(x)
-
Returns the largest integer smaller than or equal to
x.Parameter
-
#number x:
Return value
#number:
-
- math.fmod(x, y)
-
Returns the remainder of the division of
xbyythat rounds the quotient towards zero.Parameters
-
#number x: -
#number y:
Return value
#number:
-
- math.frexp(x)
-
Returns
mandesuch that x = m2^e,eis an integer and the absolute value ofmis in the range [0.5, 1) (or zero whenxis zero).Parameter
-
#number x:
Return value
#number:
-
- #number math.huge
-
The value
HUGE_VAL, a value larger than or equal to any other numerical value.
- math.ldexp(m, e)
-
Returns m2^e (
eshould be an integer).Parameters
-
#number m: -
#number e:
Return value
#number:
-
- math.log(x, base)
-
Returns the logarithm of
xin the given base.The default for
baseise(so that the function returns the natural logarithm ofx).Parameters
-
#number x: -
#number base:
Return value
#number:
-
- math.max(x, ...)
-
Returns the maximum value among its arguments.
Parameters
-
#number x: first number -
#number ...: other numbers
Return value
#number:
-
- math.min(x, ...)
-
Returns the minimum value among its arguments.
Parameters
-
#number x: first number -
#number ...: other numbers
Return value
#number:
-
- math.modf(x)
-
Returns two numbers, the integral part of
xand the fractional part ofx.Parameter
-
#number x:
Return value
#number:
-
- #number math.pi
-
The value of pi.
- math.pow(x, y)
-
Returns x^y.
(You can also use the expression
x^yto compute this value.)Parameters
-
#number x: -
#number y:
Return value
#number:
-
- math.rad(x)
-
Returns the angle
x(given in degrees) in radians.Parameter
-
#number x:
Return value
#number:
-
- math.random(m, n)
-
This function is an interface to the simple pseudo-random generator function
randprovided 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.randomreturns a uniform pseudo-random integer in the range [1, m]. When called with two integer numbersmandn,math.randomreturns a uniform pseudo-random integer in the range [m, n].Parameters
-
#number m: -
#number n:
Return value
#number:
-
- math.randomseed(x)
-
Sets
xas the "seed" for the pseudo-random generator: equal seeds produce equal sequences of numbers.Parameter
-
#number x:
Return value
#number:
-
- math.sin(x)
-
Returns the sine of
x(assumed to be in radians).Parameter
-
#number x:
Return value
#number:
-
- math.sinh(x)
-
Returns the hyperbolic sine of
x.Parameter
-
#number x:
Return value
#number:
-
- math.sqrt(x)
-
Returns the square root of
x.(You can also use the expression
x^0.5to compute this value.)Parameter
-
#number x:
Return value
#number:
-
- math.tan(x)
-
Returns the tangent of
x(assumed to be in radians).Parameter
-
#number x:
Return value
#number:
-
- math.tanh(x)
-
Returns the hyperbolic tangent of
x.Parameter
-
#number x:
Return value
#number:
-
