class Math

no package

@:directlyUsed

This class defines mathematical functions and constants.

See also:

Static variables

staticread onlyNEGATIVE_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.

staticread onlyNaN: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.

staticread onlyPI:Float

Represents the ratio of the circumference of a circle to its diameter, specified by the constant, π. PI is approximately 3.141592653589793.

staticread onlyPOSITIVE_INFINITY:Float

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 methods

staticabs(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.

staticacos(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.

staticasin(v:Float):Float

Returns the trigonometric arc of the specified angle v, in radians.

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

staticatan(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.

staticatan2(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.

staticceil(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.

staticcos(v:Float):Float

Returns the trigonometric cosine of the specified angle v, in radians.

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

staticexp(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.

staticinlinefceil(v:Float):Float

staticinlineffloor(v:Float):Float

staticfloor(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.

staticinlinefround(v:Float):Float

staticisFinite(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.

staticisNaN(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.

staticlog(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.

staticmax(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.

staticmin(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.

staticpow(v:Float, exp:Float):Float

Returns a specified base v raised to the specified power exp.

staticrandom():Float

Returns a pseudo-random number which is greater than or equal to 0.0, and less than 1.0.

staticround(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.

staticsin(v:Float):Float

Returns the trigonometric sine of the specified angle v, in radians.

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

staticsqrt(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.

statictan(v:Float):Float

Returns the trigonometric tangent of the specified angle v, in radians.

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