Angle Between: ANGLEBETWEEN( <vector>, <vector>)

Returns the value of the angle in degrees between the two vectors. The two parameters must be expressions that evaluate to a vector type. To get the vector from a feature, for example, you need to use the feature ID followed by the .IJK extension. See the example below:

F1         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<3,3,3>,$
            MEAS/XYZ,<3,3,3>,$
            NOM/IJK,<1,0,0>,$
            MEAS/IJK,<1,0,0>
F2         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<10,10,10>,$
            MEAS/XYZ,<10,10,10>,$
            NOM/IJK,<0,0,1>,$
            MEAS/IJK,<0,0,1>
            ASSIGN/V1=F1.IJK
            ASSIGN/V2=F2.IJK
            ASSIGN/V3=ANGLEBETWEEN(V1,V2)
            COMMENT/OPER,NO,FULL SCREEN=NO,AUTO-CONTINUE=NO,
            "The angle between "+V1+" and "+V2+" is: "+V3

Cross Product: CROSS(<Point>, <Point>)

Return value is of type point and is the unit vector in the direction of the cross product of the first and second expressions.

Vector Offset: DELTA(<Point>, <Point>, <Double>)

The function takes the first expression (Point) and calculates a new point in the direction of the second expression (vector) at an offset of the third expression. For example, DELTA(MPOINT(0,0,0),MPOINT(1,0,0),10) returns the point 10,0,0.

Dot Product: DOT(<Point>, <Point>)

Returns the dot product of the two points (vectors).

Unit Vector: UNIT(<Point>)

Returns the point divided by its length. For example, UNIT(MPOINT(0,0,0)) returns the point 0,0,1.

Point Coercion: MPOINT(<Expression1>, <Expression2>, <Expression3>)

Coerces the three expressions to a type Point.

See "Point Coercion".