Lenze ETC Motion Control - Manual (Page 172)

CNC programming
Formula processor
Arithmetic operations
3
3.3
3.3.1
l
172 EDSTCXN EN 2.0
3.3 Formula processor
In the NC program, in addition to programming via G functions, it is also
possible to input mathematical formula directly. A mathematical expression
is indicated by a ":" at the beginning of the line. This can be preceded by a
block number. Comments are allowed in a block with a mathematical
expression when included in curly brackets "{}".
The formula processor can also be used to calculate complex expressions for
the control at runtime. Both constants and elements from the parameter
field can be used as operands and combined in any way. The arithmetic
operations are indicated by agreed operations. The use of brackets is
allowed.
3.3.1 Arithmetic operations
Syntax Operation Description
x + y x + y Addition
x − y x – y Subtraction
x * y xy Multiplication
x / y x / y Division
x ^ y x y Power
SQR(x) x 2 Square of a number
SQRT(x)
x
Square root of a number
HYPOT(x,y)
2 2 Y x
+
Amount of a vector in the plane
HYPOT3(x,y,z)
2 2 2
Z Y X
+ +
Amount of a vector in the space
FMOD(x,y) rest(x/y) Remaining amount from division x / y
SIN(x) sinx Sinus of an angle in degrees
COS(x) cosx Cosinus of an angle in degrees
TAN(x) tanx Tangent of an angle in degrees
ASIN(x) arcsinx Arc sine, delivers an angle between −90
°
and +90
°
ACOS(x) arccosx Arc cosine, delivers an angle between 0 ° and 180 °
ATAN(x) arctanx Arc tangent, delivers an angle between −90
°
and +90
°
ATAN2(y,x) arctan(y/x) Arc tangent with two arguments, delivers an angle
between 0
°
and 360
°
MOD360(x) rest (x/360) Angle x modulo 360
°
ABS(x) |x| Absolute value of a number (without sign)
SIGN(x) x/
.
x
.
Sign of a number; +1 for x >= 0 and −1 for x < 0
ROUND(x) roundx Round up or down a number to integer values
TRUNC(x) truncx Delivers the positions before the decimal point of a
number
FRAC(x) x−truncx Delivers the positions after the decimal point of a
number
MIN(x,y) min{x,y} Delivers the smaller value
MAX(x,y) max{x,y} Delivers the larger value
RANDOM(x,y) rand Delivers random numbers between x and y