math
This library is an interface to the standard C math library.
It provides all its functions inside the table math
.
math.abs (x)
Returns the absolute value of x
.
math.acos (x)
Returns the arc cosine of x
(in radians).
math.asin (x)
Returns the arc sine of x
(in radians).
math.atan (x)
Returns the arc tangent of x
(in radians).
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 (x)
Returns the smallest integer larger than or equal to x
.
math.cos (x)
Returns the cosine of x
(assumed to be in radians).
math.cosh (x)
Returns the hyperbolic cosine of x
.
math.deg (x)
Returns the angle x
(given in radians) in degrees.
math.exp (x)
Returns the value ex.
math.floor (x)
Returns the largest integer smaller than or equal to x
.
math.fmod (x, y)
Returns the remainder of the division of x
by y
that rounds the quotient towards zero.
math.frexp (x)
Returns m
and e
such that x = m2e,
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
The value HUGE_VAL
,
a value larger than or equal to any other numerical value.
math.ldexp (m, e)
Returns m2e (e
should be an integer).
math.log (x)
Returns the natural logarithm of x
.
math.log10 (x)
Returns the base-10 logarithm of x
.
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 x
and the fractional part of x
.
math.pi
The value of pi.
math.pow (x, y)
Returns xy.
(You can also use the expression x^y
to compute this value.)
math.rad (x)
Returns the angle x
(given in degrees) in radians.
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 (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.sinh (x)
Returns the hyperbolic sine of x
.
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.tanh (x)
Returns the hyperbolic tangent of x
.