This class defines mathematical functions and constants.
See:
static read only NEGATIVE_INFINITY:Float
Available on cpp, cs, flash, hl, java, macro, neko, php, python
A special Float
constant which denotes negative infinity.
For example, this is the result of -1.0 / 0.0.
Operations with NEGATIVE_INFINITY
as an operand may result in NEGATIVE_INFINITY
, POSITIVE_INFINITY
or NaN
.
If this constant is converted to an Int
, e.g. through Std.int()
, the result is unspecified.
static read only NEGATIVE_INFINITY:Float
Available on js, lua
static read only NaN:Float
Available on cpp, cs, flash, hl, java, macro, neko, php, python
A special Float
constant which denotes an invalid number.
NaN stands for "Not a Number". It occurs when a mathematically incorrect operation is executed, such as taking the square root of a negative number: Math.sqrt(-1).
All further operations with NaN
as an operand will result in NaN
.
If this constant is converted to an Int
, e.g. through Std.int()
, the result is unspecified.
In order to test if a value is NaN
, you should use Math.isNaN()
function.
@php In PHP versions prior to 5.3.1 VC 9 there may be unexpected results when performing arithmetic operations with NaN
on Windows, see https://bugs.php.net/bug.php?id=42143
static read only NaN:Float
Available on js, lua
static read only PI:Float
Available on cpp, cs, flash, hl, java, js, macro, neko, php, python
Represents the ratio of the circumference of a circle to its diameter, specified by the constant, π. PI
is approximately 3.141592653589793.
static read only PI:Float
Available on lua
static read only POSITIVE_INFINITY:Float
Available on cpp, cs, flash, hl, java, macro, neko, php, python
A special Float
constant which denotes positive infinity.
For example, this is the result of 1.0 / 0.0.
Operations with POSITIVE_INFINITY
as an operand may result in NEGATIVE_INFINITY
, POSITIVE_INFINITY
or NaN
.
If this constant is converted to an Int
, e.g. through Std.int()
, the result is unspecified.
static read only POSITIVE_INFINITY:Float
Available on js, lua
static abs (v:Float):Float
Returns the absolute value of v
.
If v
is positive or 0, the result is unchanged. Otherwise the result is -v
.
If v
is NEGATIVE_INFINITY
or POSITIVE_INFINITY
, the result is POSITIVE_INFINITY
.
If v
is NaN
, the result is NaN
.
static acos (v:Float):Float
Returns the trigonometric arc cosine of the specified angle v
, in radians.
If v
is NaN
or infinite, the result is NaN
.
static asin (v:Float):Float
Returns the trigonometric arc of the specified angle v
, in radians.
If v
is NaN
or infinite, the result is NaN
.
static atan (v:Float):Float
Returns the trigonometric arc tangent of the specified angle v
, in radians.
If v
is NaN
or infinite, the result is NaN
.
static atan2 (y:Float, x:Float):Float
Returns the trigonometric arc tangent whose tangent is the quotient of two specified numbers, in radians.
If parameter x
or y
is NaN
, NEGATIVE_INFINITY
or POSITIVE_INFINITY
, the result is NaN
.
static ceil (v:Float):Int
Returns the smallest integer value that is not less than v
.
If v
is outside of the signed Int32
range, or is NaN
, NEGATIVE_INFINITY
or POSITIVE_INFINITY
, the result is unspecified.
static cos (v:Float):Float
Returns the trigonometric cosine of the specified angle v
, in radians.
If v
is NaN
or infinite, the result is NaN
.
static exp (v:Float):Float
Returns Euler's number, raised to the power of v
.
exp(1.0) is approximately 2.718281828459.
If v
is POSITIVE_INFINITY
, the result is POSITIVE_INFINITY
. If v
is NEGATIVE_INFINITY
, the result is 0.0
. If v
is NaN
, the result is NaN
.
static fceil (v:Float):Float
Returns the smallest integer value that is not less than v
, as a Float
.
If v
is is NaN
, NEGATIVE_INFINITY
or POSITIVE_INFINITY
, the result is unspecified.
static ffloor (v:Float):Float
Returns the largest integer value that is not greater than v
, as a Float
.
If v
is is NaN
, NEGATIVE_INFINITY
or POSITIVE_INFINITY
, the result is unspecified.
static floor (v:Float):Int
Returns the largest integer value that is not greater than v
.
If v
is outside of the signed Int32
range, or is NaN
, NEGATIVE_INFINITY
or POSITIVE_INFINITY
, the result is unspecified.
static fround (v:Float):Float
Rounds v
to the nearest integer value, as a Float.
Ties are rounded up, so that 0.5
becomes 1
and -0.5
becomes 0
.
If v
is is NaN
, NEGATIVE_INFINITY
or POSITIVE_INFINITY
, the result is unspecified.
static isFinite (f:Float):Bool
Tells if f
is a finite number.
If f
is POSITIVE_INFINITY
, NEGATIVE_INFINITY
or NaN
, the result is false
, otherwise the result is true
.
static isNaN (f:Float):Bool
Tells if f
is not a valid number.
If f
is NaN
, the result is true
, otherwise the result is false
. In particular, both POSITIVE_INFINITY
and NEGATIVE_INFINITY
are not considered NaN
.
static log (v:Float):Float
Returns the natural logarithm of v
.
This is the mathematical inverse operation of exp, i.e. log(exp(v)) == v
always holds.
If v
is negative (including NEGATIVE_INFINITY
) or NaN
, the result is NaN
. If v
is POSITIVE_INFINITY
, the result is POSITIVE_INFINITY
. If v
is 0.0
, the result is NEGATIVE_INFINITY
.
static max (a:Float, b:Float):Float
Returns the greater of values a
and b
.
If a
or b
are NaN
, the result is NaN
. If a
or b
are POSITIVE_INFINITY
, the result is POSITIVE_INFINITY
. If a
and b
are NEGATIVE_INFINITY
, the result is NEGATIVE_INFINITY
.
static min (a:Float, b:Float):Float
Returns the smaller of values a
and b
.
If a
or b
are NaN
, the result is NaN
. If a
or b
are NEGATIVE_INFINITY
, the result is NEGATIVE_INFINITY
. If a
and b
are POSITIVE_INFINITY
, the result is POSITIVE_INFINITY
.
static pow (v:Float, exp:Float):Float
Returns a specified base v
raised to the specified power exp
.
static random ():Float
Returns a pseudo-random number which is greater than or equal to 0.0, and less than 1.0.
static round (v:Float):Int
Rounds v
to the nearest integer value.
Ties are rounded up, so that 0.5
becomes 1
and -0.5
becomes 0
.
If v
is outside of the signed Int32
range, or is NaN
, NEGATIVE_INFINITY
or POSITIVE_INFINITY
, the result is unspecified.
static sin (v:Float):Float
Returns the trigonometric sine of the specified angle v
, in radians.
If v
is NaN
or infinite, the result is NaN
.
static sqrt (v:Float):Float
Returns the square root of v
.
If v
is negative (including NEGATIVE_INFINITY
) or NaN
, the result is NaN
. If v
is POSITIVE_INFINITY
, the result is POSITIVE_INFINITY
. If v
is 0.0
, the result is 0.0
.
static tan (v:Float):Float
Returns the trigonometric tangent of the specified angle v
, in radians.
If v
is NaN
or infinite, the result is NaN
.
© 2005–2016 Haxe Foundation
Licensed under a MIT license.
http://api.haxe.org/Math.html