Math Methods

The following is a list of functions and operators that are provided by native VBScript:

Function	Description
^	Raises a number to the power of an exponent.
*	Multiplies two numbers.
/	Divides two numbers and returns a floating-point result.
\	Divides two numbers and returns an integer result.
Mod	Divides two numbers and returns only the remainder.
+	Sums two numbers.
-	Finds the difference between two numbers or indicates the negative value of a numeric expression.
&	Forces string concatenation of two expressions.
Abs	Returns the absolute value of a number.
Atn	Returns the arctangent of a number.
Cos	Returns the cosine of an angle.
Exp	Returns e (the base of natural logarithms) raised to a power.
Int	Returns the integer portion of a number.
Fix	Returns the integer portion of a number.
Log	Returns the natural logarithm of a number.
Rnd	Returns a random number.
Sgn	Returns an integer indicating the sign of a number.
Sin	Returns the sine of an angle.
Sqr	Returns the square root of a number.
Tan	Returns the tangent of an angle.

RhinoScript extents the math capabilities of VBScript by adding the following methods:

Method	Description
ACos	Returns the inverse cosine of a number.
ACosH	Returns the inverse hyperbolic cosine of a number.
Angle	Measures the angle between two points.
Angle2	Measures the angle between two lines.
ASin	Returns the inverse sine of a number.
ASinH	Returns the inverse hyperbolic sine of a number.
ATan2	Returns the angle from the X axis to a point (y,x).
ATanH	Returns the inverse hyperbolic tangent of a number.
Ceil	Returns the ceiling of a number.
CosH	Returns the hyperbolic cosine of an angle.
Deviation	Returns the standard deviation from an array of numbers.
Distance	Returns the distance between two points.
E	Returns the value of the base of the natural system of logarithms (e).
Floor	Returns the floor of a number.
FMod	Returns the floating-point remainder.
Hypot	Calculates the hypotenuse.
Log10	Returns the base 10 logarithm of a specified number.
Max	Returns the maximum number from an array of numbers.
Mean	Returns the mean, or average, value from an array of numbers.
Median	Return the median value from an array of numbers.
Min	Returns the minimum number from an array of numbers.
PI	Returns the PI constant.
Polar	Returns a point at an angle and distance from the point.
Rnd	Returns a random number.
SinH	Returns the hyperbolic sine of an angle.
SolveQuadratic	Solves a quadratic equation.
Sum	Returns the sum number from an array of numbers.
TanH	Returns the hyperbolic tangent of an angle.
ToDegrees	Converts an angle in radians to degrees.
ToRadians	Converts an angle in degrees to radians.

Note, the following non-intrinsic math functions can be derived from the intrinsic math functions:

Function	Derived Equivalent
Secant	Sec(X) = 1 / Cos(X)
Cosecant	Cosec(X) = 1 / Sin(X)
Cotangent	Cotan(X) = 1 / Tan(X)
Inverse Sine	Arcsin(X) = Atn(X / Sqr(-X * X + 1))
Inverse Cosine	Arccos(X) = Atn(-X / Sqr(-X * X + 1)) + 2 * Atn(1)
Inverse Secant	Arcsec(X) = Atn(X / Sqr(X * X - 1)) + Sgn((X) -1) * (2 * Atn(1))
Inverse Cosecant	Arccosec(X) = Atn(X / Sqr(X * X - 1)) + (Sgn(X) - 1) * (2 * Atn(1))
Inverse Cotangent	Arccotan(X) = Atn(X) + 2 * Atn(1)
Hyperbolic Sine	HSin(X) = (Exp(X) - Exp(-X)) / 2
Hyperbolic Cosine	HCos(X) = (Exp(X) + Exp(-X)) / 2
Hyperbolic Tangent	HTan(X) = (Exp(X) - Exp(-X)) / (Exp(X) + Exp(-X))
Hyperbolic Secant	HSec(X) = 2 / (Exp(X) + Exp(-X))
Hyperbolic Cosecant	HCosec(X) = 2 / (Exp(X) - Exp(-X))
Hyperbolic Cotangent	HCotan(X) = (Exp(X) + Exp(-X)) / (Exp(X) - Exp(-X))
Inverse Hyperbolic Sine	HArcsin(X) = Log(X + Sqr(X * X + 1))
Inverse Hyperbolic Cosine	HArccos(X) = Log(X + Sqr(X * X - 1))
Inverse Hyperbolic Tangent	HArctan(X) = Log((1 + X) / (1 - X)) / 2
Inverse Hyperbolic Secant	HArcsec(X) = Log((Sqr(-X * X + 1) + 1) / X)
Inverse Hyperbolic Cosecant	HArccosec(X) = Log((Sgn(X) * Sqr(X * X + 1) +1) / X)
Inverse Hyperbolic Cotangent	HArccotan(X) = Log((X + 1) / (X - 1)) / 2
Logarithm to base N	LogN(X) = Log(X) / Log(N)