Introduction Scripts Reference Math and Randomization

Math and Randomization

phase := Frac(phase + Random * 0.05);
output.asFloat(Sin(phase * Pi * 2) * depth.asFloat);

Procedure	Description
`function minS(const A, B: single): single;`	Return the smaller of two single-precision floating-point values
`function maxS(const A, B: single): single;`	Return the larger of two single-precision floating-point values
`function maxI(const A, B: integer): integer;`	Return the larger of two integer values
`function minI(const A, B: integer): integer;`	Return the smaller of two integer values
`function Pi: Extended;`	Return the mathematical constant Ï€
`function Log(e: Extended): Extended;`	Return the base-10 logarithm of `e` (same as `Log10`)
`function Exp(e: Extended): Extended;`	Return e raised to the power of `e`
`function ArcTan(e: Extended): Extended;`	Return the arctangent of `e`
`function ArcTan2(e1, e2: Extended): Extended;`	Return the arctangent of `e1 / e2`
`function Arcsin(e: Extended): Extended;`	Return the arcsine of `e`
`function Arccos(e: Extended): Extended;`	Return the arccosine of `e`
`function Abs(d: Extended): Extended;`	Return the absolute value of an extended value
`function Abs(d: Int64): Int64;`	Return the absolute value of an integer
`function Power(Base, Exponent: Extended): Extended;`	Return `Base` raised to the power of `Exponent`
`function Sqr(d: Extended): Extended;`	Return the square of a number
`function Sqrt(d: Extended): Extended;`	Return the square root of a number
`function ArcTan(d: Extended): Extended;`	Return the arctangent of `d`
`function Ln(d: Extended): Extended;`	Return the natural logarithm of `d`
`function Log10(x: Extended): Extended;`	Return the base-10 logarithm of `x`
`function Log2(x: Extended): Extended;`	Return the base-2 logarithm of `x`
`function LogN(Base, x: Extended): Extended;`	Return the logarithm of `x` in base `Base`
`function Sin(d: Extended): Extended;`	Return the sine of an angle
`function Cos(d: Extended): Extended;`	Return the cosine of an angle
`function Tan(d: Extended): Extended;`	Return the tangent of an angle
`function ArcTan2(x, y: Extended): Extended;`	Quadrant-aware two-argument arctangent (the C-style name `Atan2` does not exist)
`function Hypot(x, y: Extended): Extended;`	Return `Sqrt(xx + yy)`
`function Sign(AValue: Extended): Int8;`	Return -1, 0 or 1 depending on the sign of a float value
`function Sign(AValue: Int64): Int8;`	Return -1, 0 or 1 depending on the sign of an integer value
`function Cotan(d: Extended): Extended;`	Return the cotangent of an angle
`function Secant(d: Extended): Extended;`	Return the secant of an angle
`function Cosecant(d: Extended): Extended;`	Return the cosecant of an angle
`function SinH(d: Extended): Extended;`	Return the hyperbolic sine
`function CosH(d: Extended): Extended;`	Return the hyperbolic cosine
`function TanH(d: Extended): Extended;`	Return the hyperbolic tangent
`function ArcSinH(d: Extended): Extended;`	Return the inverse hyperbolic sine
`function ArcCosH(d: Extended): Extended;`	Return the inverse hyperbolic cosine
`function ArcTanH(d: Extended): Extended;`	Return the inverse hyperbolic tangent
`function Exp(d: Extended): Extended;`	Return e raised to the power of `d`
`function Round(d: Extended): Int64;`	Round a floating-point value to the nearest integer
`function Round(d: Extended; Precision: Int8): Extended;`	Round a floating-point value to a specified decimal precision
`function Frac(d: Extended): Extended;`	Return the fractional part of a number
`function Int(d: Extended): Extended;`	Return the integer part of a number
`function Trunc(d: Extended): Int64;`	Truncate the fractional part of a number
`function Ceil(d: Extended): Int64;`	Return the smallest integer greater than or equal to `d`
`function Floor(d: Extended): Int64;`	Return the largest integer less than or equal to `d`
`function DegToRad(Degrees: Extended): Extended;`	Convert an angle from degrees to radians
`function RadToDeg(Radians: Extended): Extended;`	Convert an angle from radians to degrees
`function Lerp(A, B, T: Extended): Extended;`	Linear interpolation between `A` and `B` by factor `T` (0 to 1)
`function SmoothStep(Edge0, Edge1, x: Extended): Extended;`	Hermite interpolation: 0 below `Edge0`, 1 above `Edge1`, smooth in between
`function Random(Min, Max: Int64): Int64;`	Return a random integer between `Min` and `Max`
`function Random(l: Int64): Int64;`	Return a random integer from 0 to `l - 1`
`function Random: Extended;`	Return a random floating-point number between 0.0 and 1.0
`procedure Randomize;`	Initialize the random number generator with a new seed

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