Mathematical Functions

abs(Real): Real

Calculates the absolute value of the argument.

ceil(Real): Real

Returns the smallest integer value that is greater than or equal to the value specified in the argument.

floor(Real):Real

Returns the largest integer value that is less than or equal to the value specified in the argument.

int(Real):Real

Returns the integer part of the argument.

min(Real,Real):Real, max(Real,Real)

Returns the minimum or maximum of a set of values specified in the argument. You can provide as much real values in input of this function as you want. You can also provide one List of values as argument of this function. Example:

 min(List.1) /* List.1 being a list of values */

sqrt(Real):Real

Returns the square root.

log(Real):Real

Returns the logarithm.

ln(Real):Real

Returns the natural logarithm.

round(Real):Real

Rounds numbers of the form x.5 towards the nearest even integer.

round(Real, String, Integer):Real

Returns a rounded number. This method is available for the types requiring units (Length, Angle, ...).

Real is the real number that you want to round (for example 13.552).
String is the unit (for example "mm").
Integer corresponds to the number of digits that you want to display after the dot.
```
Formula.2: Length.2=round(Length.1, "mm",2)
```

Important: A dimensioned value is required for the round function to work properly. Please find here below some examples on how the Round function works:

round (12.333mm,"mm",1) will return 12.3 for the value is a length
round (12.333mm+1mm,"mm",1) will display an error for the sum result is a non-dimensioned real value
round (-12.333mm,"mm",1)will return an error for the subtraction result is a non-dimensioned real value

The two last examples results using the + / - arithmetic operators may seem strange. However, this should be considered as a standard behavior. Beware that using the + / - arithmetic operators will always return a non-dimensioned value. When using this function, a parameter is logically selected as input so the + / - issue should not be recurrent in this context.

exp(Real):Real

Returns the exponential.

LinearInterpolation(arg1:Real, arg2:Real, arg3:Real) : Real

Must be used when creating a parallel curve from a law.

Example

Create a line in Generative Shape Design.
Access the Knowledge Advisor workbench and create the law below: FormalReal.1 = LinearInterpolation(1,9,FormalReal.2).
Back to Generative Shape Design, create a parallel curve. Select the Law mode and specify the law above as the one to be applied.

CubicInterpolation(arg1:Real, arg2:Real, arg3:Real) : Real

Must be used when creating a parallel curve from a law

Example

Create a line in Generative Shape Design.
Access the Knowledge Advisor workbench and create the law below: FormalReal.1 = CubicInterpolation(1,50,FormalReal.2).
Back to the Generative Shape Design, create a parallel curve. Select the Law mode and specify the law above as the one to be applied.

mod(Real,Integer): Real

Gives the remainder on division of Real by Integer. The returned value is of integer type.

Cos(Real):Real, cosh (Real): Real

Calculates the cosine(cos) or hyperbolic cosine(cosh).

Example

Real.1 = cos(PI*1rad/4) 
			Real.1 = cos(45deg)

Important: The input of the cosine function must be an angle despite its signature that allows real numbers. As a consequence, cos(3.14) for example is equivalent to cos (3.14 * 1rad) in the Formula editor. However a warning is displayed. Note that this applies also to the sinus and the tangent functions.

tan(Real): Real, tanh(Real): Real

Calculates the tangent(tan) or hyperbolic tangent (tanh).

sin(Real):Real, sinh(Real):Real

Calculates the sine or hyperbolic sine.

asin(Real):Real, asinh(Real):Real

Calculates the arcsine or hyperbolic arcsine.

acos(Real):Real, acosh(Real):Real

Calculates the arccosine or hyperbolic arccosine.

atan(Real):Real, atanh(Real):Real

Calculates the arctangent or hyperbolic arctangent.

max(arg1: Real, arg2: Real, ...):Real

Returns the highest parameter.

min(arg1: Real, arg2: Real, ...):Real

Returns the smallest parameter.

not(Boolean):Boolean

Verifies the contrary of the expression between parentheses.

Example

not(A==B) is the equivalent of A<>B

Note: You must use real numbers only.