List of mathematical $functions

As of Model 204 7.5, a set of high-performance, high-precision versions of the IBM mathematical $functions are built in to SOUL. These $functions, shown in the [[#funTable|table below, eliminate the need to use external math libraries.

Your site could choose to use an external library instead of these integrated $functions. In such a case, these $functions would result in calls to the external library. To set up use of an external math library, contact Technical Support.

Before Model 204 7.5, these $functions were available as part of the Sirius Mods.

See Notation conventions for methods for information about the conventions followed in the $function descriptions.

Mathematical $function considerations

$Function	Description
$Abs(x)	Absolute value
$ArcCos(x)	Inverse cosine
$ArcSin(x)	Inverse sine
$ArcTan(x)	Arctangent
$ArcTan2(x,y)	Arctangent of x/y
$Cos(x)	Cosine of radian argument
$CosH(x)	Hyperbolic cosine
$Cotan(x)	Cotangent
$Erf(x)	Error function
$ErfC(x)	Complement error function
$Exp(x), $Exp_e(x)	Get natural exponent of a number
$Exp2(x), $Exp_2(x)	Get 2's exponent of a number
$Exp10(x), $Exp_10(x)	Get 10's exponent of a number
$Gamma(x)	Gamma function
$IxpI(x,y)	Integer base, integer exponent
$LGamma(x)	Log gamma function
$Log(x), $Log_e(x)	Get natural log of a number
$Log2(x), $Log_2(x)	Get log base 2 of a number
$Log10(x), $Log_10(x)	Get log base 10 of a number
$Max(x1,x2,x3,x4,x5,x6,x7,x8)	Return maximum of specified arguments
$Min(x1,x2,x3,x4,x5,x6,x7,x8)	Return minimum of specified arguments
$Pi	Value of pi
$RxpI(x,y)	Real base, integer exponent
$RxpR(x,y)	Real base, real exponent
$Sin(x)	Sine of radian argument
$SinH(x)	Hyperbolic sine
$Sqrt(x)	Square root of positive argument
$Tan(x)	Tangent
$TanH(x)	Hyperbolic tangent