Formulas

Variables

When you set a formula in a constraint expression in the Profiles editor, you can use as variables the names of constraints exist in the current profile.

When you set a formula in an expression for a object property you can use references to the values of parameters, properties, and quantities of the object, as well as to the Project Information data and properties of the Project, Site, and Building.

When preparing or filling out a title block as variables in formulas, you can use references to the property values of the Project, Site and Building and Drawing parameters and properties.

Arithmetic operators

( )	operator parentheses
+	addition
-	subtraction
*	multiplication
/	division
%	integer division
^	raise to a degree

Functions

sqrt	square root
ln	natural logarithm
lg	common logarithm
abs	absolute value
ceil	rounding off to a larger integer
floor	rounding off to a smaller integer
round	rounding off to a nearest integer
sin	sine with argument in radians
cos	cosine with argument in radians
tan	tangent with argument in radians
asin	arcsine with the result in radians
acos	arccosine with the result in radians
atan	arctangent with the result in radians
sind	sine with argument in degrees
cosd	cosine with argument in degrees
tand	tangent with argument in degrees
asind	arcsine with the result in degrees
acosd	arccosine with the result in degrees
atand	arctangent with the result in degrees
deg	function to convert radians to degrees
rad	function to convert degrees to radians

Constants

M_FI	1.6180339887499	Φ is an irrational number of the golden section.
M_E	2.71828182845904523536	е is the base of a natural logarithm.
M_PI	3.14159265358979323846	π is the ratio of circumference to diameter.
M_PI_2	1.57079632679489661923	π/2
M_PI_4	0.785398163397448309616	π/4
M_PI2	6.28318530717959	2π
M_SQRT2	1.41421356237309504880	Square root of 2.
M_RADDEG	57.29577951308	Ratio of converting radians to degrees (180/π).
M_DEGRAD	0.01745329251994	Ratio of converting degrees to radians (π/180).
FLT_EPS	1.19209290E–07	Difference between 1 and the least value greater than 1 that is representable.

Logical operators

==	identical
!=	not identical
>	greater than
<	less than
>=	greater than or equal to
<=	less than or equal to
!	logical negation
&&	logical AND
\|\|	logical OR
?:	a logical expression of type A ? B : C (if A is true, then B, else C, where A, B, and C can be expressions).

Examples

ceil(Net volume * 1e9 / Product volume)

The algebraic expression that defines the value of the product quantity in the net volume of an object. The value is rounded to the larger integer.

(D1 >= 40) && (D1 < 80) ? D2 : 0

The logical expression that defines a dimensional constraint.

If D1 is greater than or equal to 40 and less than 80, the value is D2, else 0

Room name == 'Balcony' ?

Net floor area * 0.5 :

Room name == 'Terrace' ?

Net floor area * 0.5 :

Net floor area

The logical expression that defines the value of a property of an Area data type according to room name.

If the room name is Balcony, its area is half of the net floor area.

If the room name is Terrace, its area is half of the net floor area.

In other cases, the floor area is equal to the net floor area.

{ Window width == 900 ? 'Small Window' :

Window width == 1200 ? 'Large Window' :

'Error'}

The logical expression that defines the value of the String data type property according to the value of the Numeric parameter.

If the width of the window is 900 mm, the value of the property is Small window. If the width of the window is 1200 mm, the value of the property is Large window. In other cases - Error.

For examples of the properties of different types of data, see Data type.