Math

Math (extern class)

This class defines mathematical functions and constants.

See: https://haxe.org/manual/std-math.html

Static Members

PI: Float

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


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.


POSITIVE_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.


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.


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.
Name Type
v Float
Returns
Float

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.
Name Type
a Float
b Float
Returns
Float

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.
Name Type
a Float
b Float
Returns
Float

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.

Name Type
v Float
Returns
Float

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.

Name Type
v Float
Returns
Float

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.

Name Type
v Float
Returns
Float

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.

Name Type
v Float
Returns
Float

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.

Name Type
v Float
Returns
Float

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.

Name Type
v Float
Returns
Float

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.

Name Type
y Float
x Float
Returns
Float

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.
Name Type
v Float
Returns
Float

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.
Name Type
v Float
Returns
Float

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

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

Name Type
v Float
exp Float
Returns
Float

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.
Name Type
v Float
Returns
Float

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.

Name Type
v Float
Returns
Int

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.

Name Type
v Float
Returns
Int

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.

Name Type
v Float
Returns
Int

random(): Float

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

Returns
Float

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.

Name Type
v Float
Returns
Float

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.

Name Type
v Float
Returns
Float

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.

Name Type
v Float
Returns
Float

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.

Name Type
f Float
Returns
Bool

isNaN(f: Float): Bool

Tells if f is Math.NaN.

If f is NaN, the result is true, otherwise the result is false. In particular, null, POSITIVE_INFINITY and NEGATIVE_INFINITY are not considered NaN.

Name Type
f Float
Returns
Bool

Metadata

Name Parameters
:include "hxMath.h"