Mathematical tools Reference

A set of mathematical functions that can be used in expressions.

Expressions

Expression	Description
`AngleBetweenPositions()`	Compute the angle between two positions (in degrees).
`AngleDifference()`	Difference between two angles
`DistanceBetweenPositions()`	Compute the distance between two positions.
`Pi()`	The number Pi (3.1415...)
`Random()`	Random integer
`RandomFloat()`	Random float
`RandomFloatInRange()`	Random float in range
`RandomInRange()`	Random integer in range
`RandomWithStep()`	Random value in steps
`XFromAngleAndDistance()`	Compute the X position when given an angle and distance relative to the origin (0;0). This is also known as getting the cartesian coordinates of a 2D vector, using its polar coordinates.
`YFromAngleAndDistance()`	Compute the Y position when given an angle and distance relative to the origin (0;0). This is also known as getting the cartesian coordinates of a 2D vector, using its polar coordinates.
`abs()`	Absolute value
`acos()`	Arccosine, return an angle (in radian). `ToDeg` allows to convert it to degrees.
`acosh()`	Hyperbolic arccosine
`asin()`	Arcsine, return an angle (in radian). `ToDeg` allows to convert it to degrees.
`asinh()`	Arcsine
`atan()`	Arctangent, return an angle (in radian). `ToDeg` allows to convert it to degrees.
`atan2()`	2 argument arctangent (atan2)
`atanh()`	Hyperbolic arctangent
`cbrt()`	Cube root
`ceil()`	Round number up to an integer
`ceilTo()`	Round number up to the Nth decimal place
`clamp()`	Restrict a value to a given range
`cos()`	Cosine of an angle (in radian). If you want to use degrees, use`ToRad`: `sin(ToRad(45))`.
`cosh()`	Hyperbolic cosine
`cot()`	Cotangent of a number
`csc()`	Cosecant of a number
`exp()`	Exponential of a number
`floor()`	Round number down to an integer
`floorTo()`	Round number down to the Nth decimal place
`lerp()`	Linearly interpolate a to b by x
`lerpAngle()`	Linearly interpolates between two angles (in degrees) by taking the shortest direction around the circle.
`log()`	Logarithm
`log10()`	Base-10 logarithm
`log2()`	Base 2 Logarithm
`max()`	Maximum of two numbers
`min()`	Minimum of two numbers
`mod()`	x mod y
`normalize()`	Remap a value between 0 and 1.
`nthroot()`	Nth root of a number
`pow()`	Raise a number to power n
`round()`	Round a number
`roundTo()`	Round a number to the Nth decimal place
`sec()`	Secant
`sign()`	Return the sign of a number (1,-1 or 0)
`sin()`	Sine of an angle (in radian). If you want to use degrees, use`ToRad`: `sin(ToRad(45))`.
`sinh()`	Hyperbolic sine
`sqrt()`	Square root of a number
`tan()`	Tangent of an angle (in radian). If you want to use degrees, use`ToRad`: `tan(ToRad(45))`.
`tanh()`	Hyperbolic tangent
`trunc()`	Truncate a number

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