This class defines mathematical functions and constants.

See:

Static fields

static read only 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 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 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 read only PI:Float

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 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.

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

Static methods

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

static ffloor (v:Float):Float

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

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.

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.