class Math

Available on all platforms

This class defines mathematical functions and constants.

Class Fields

static var NEGATIVE_INFINITY:Float

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
Operations with NEGATIVE_INFINITY as an operand may result in
NEGATIVE_INFINITY, POSITIVE_INFINITY or NaN. For detailed information,
see ...

If this constant is converted to an Int, e.g. through Std.int(), the
result is unspecified.

static var NaN:Float

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 var PI:Float

static var POSITIVE_INFINITY:Float

A special Float constant which denotes negative 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. For detailed information,
see ...

If this constant is converted to an Int, e.g. through Std.int(), the
result is unspecified.

static function 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 function acos(v:Float):Float

static function asin(v:Float):Float

static function atan(v:Float):Float

static function atan2(y:Float, x:Float):Float

static function ceil(v:Float):Int

Returns the smallest Int 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.

TODO: need spec

static function cos(v:Float):Float

Returns the trigonometric cosine of v.

The unit of `v` is radians.

If `v` is NaN or infinite, the result is NaN.

static function 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 function fceil(v:Float):Float

static function ffloor(v:Float):Float

static function floor(v:Float):Int

Returns the largest Int 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.

TODO: need spec

static function fround(v:Float):Float

static function 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 function 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 function log(v:Float):Float

Returns the natural logarithm 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 NEGATIVE_INFINITY.

This is the inverse operation of exp, i.e. log(exp(v)) == v always
holds.

static function 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 function 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 function pow(v:Float, exp:Float):Float

static function random():Float

Returns a pseudo-random number which is greater than or equal to 0.0,

and less than 1.0.

static function round(v:Float):Int

Rounds v to the nearest Int value.

If v is outside of the signed Int32 range, or is NaN, NEGATIVE_INFINITY or POSITIVE_INFINITY, the result is unspecified.

TODO: need spec

static function sin(v:Float):Float

Returns the trigonometric sine of v.

The unit of `v` is radians.

If `v` is NaN or infinite, the result is NaN.

static function 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 function tan(v:Float):Float