Prefix String Reference

Binary (takes 2 inputs) F-Rep Operators

Symbol	Description
+	addition
-	subtraction
*	multiplication
/	division
i	minimum
a	maximum
p	power

Unary (single input) F-Rep Operators

Symbol	Description
s	sine
c	cosine
t	tangent
S	arcsine
C	arccosine
T	arctangent
b	absolute value
q	square
r	root
n	negation

NB: trigonometric operators assume radians

The f-rep syntax accepts four distinct types of atoms. X, Y, and Z are replaced by position in the world’s coordinate system at any given evaluation point. Floating point constants are preceded by f, followed by the value (e.g. f3.14159 or f6.023e23). For example, a circle (x² + y² − 1) is written as -+qXqYf1.

Finally, the map operation allows for coordinate transforms to be represented in a space-efficient manner. The map operator is written as m followed by four arguments. The first three arguments represent transformed expressions xʹ, yʹ, and zʹ respectively (in terms of x, y, and z); if a coordinate is not modified then a space appears instead. The last argument is the expression to evaluate with the transformed coordinates. The example m+XYX X applies the coordinate transform x’=x+y, y’=x, z’=z to the expression x, producing x+y (note that the z coordinate is not modified, because the third argument following m is a space).