| Profile Variables
|
Units
|
| DSEG
|
Distance in
Segment
|
m or °
|
| DMOV
|
Distance in
Move
|
m or °
|
| DCYC
|
Distance in
Cycle/Sequence
|
m or °
|
| VEL
|
Velocity
|
m/s or °/s
|
| ACC
|
Acceleration
|
m/s2 or °/s2
|
| TSEG
|
Time in
Segment
|
s
|
| TMOV
|
Time in
Move
|
s
|
| TCYC
|
Time in
Cycle/Sequence
|
s
|
|
|
| Constants
|
| PI
|
Pi (3.14159265358979...)
|
|
|
| Arithmetic
|
| +
|
Addition
|
| -
|
Subtraction
|
| *
|
Multiplication
|
| /
|
Division
|
| \
|
Integer division
|
| ^
|
Exponentiation (raise to a power
of)
|
| Mod
|
Modulus arithmetic
|
|
When multiplication and division
occur together in an expression, each operation is evaluated as it
occurs from left to right. Likewise, when addition and subtraction
occur together in an expression, each operation is evaluated in
order of appearance from left to right.
|
| |
| Comparison
|
| = |
Equality
|
| <> |
Inequality
|
| < |
Less than
|
| >
|
Greater than
|
| <=
|
Less than or equal to
|
| >=
|
Greater than or equal to
|
| Is
|
Object equivalence
|
|
|
| Math Functions
|
| Abs
|
Absolute
Eg. Abs(-1)=1
|
|
| Atn
|
Arctangent
Eg. Atn(1)=PI/4
|
|
| Cos
|
Cosine of an
angle
Eg. Cos(PI/4)=0.707106781...
|
[rad]
|
| Exp
|
e raised to
a power
Eg. Exp(1)=e=2.718281828459...
|
|
| Log
|
Natural
logarithm
Can be combined to create the Log of any base, n.
Eg. Logn(x) = Log(x) / Log(n)
|
|
| Sgn
|
Sign of a
number
x>0: Sgn(x)=1, x=0: Sgn(x)=0, x<0: Sgn(x)=-1
|
|
| Sin
|
Sine of an
angle
Eg. Sin(PI/4)=0.707106781...
|
[rad]
|
| Sqr
|
Square
root
Eg. Sqr(9)=9^½=3
|
|
| Tan
|
Tangent of
an angle
Eg. Tan(PI/4)=1
|
[rad]
|
| Int
|
Integer
portion of a number1
|
|
| Fix
|
Integer
portion of a number1
|
|
|
1The difference between Int
and Fix is that if number is negative, Int returns the first
negative integer less than or equal to number, whereas Fix returns
the first negative integer greater than or equal to number. For
example, Int converts -8.4 to -9, and Fix converts -8.4 to
-8.
|
| |
| Logical
|
| And
|
Logical conjunction
|
| Not
|
Logical negation
|
| Or
|
Logical disjunction
|
| Xor
|
Logical exclusion
|
| Eqv
|
Logical equivalence
|
| Imp
|
Logical implication
|
| |
| Derived Math
Functions
|
| Secant
|
Sec(X) = 1 /
Cos(X)
|
| Cosecant
|
Cosec(X) = 1
/ Sin(X)
|
| Cotangent
|
Cotan(X) = 1
/ Tan(X)
|
| Inverse
Sine
|
Arcsin(X) =
Atn(X / Sqr(-X * X + 1))
|
| Inverse
Cosine
|
Arccos(X) =
Atn(-X / Sqr(-X * X + 1)) + 2 * Atn(1)
|
| Inverse
Secant
|
Arcsec(X) =
2 * Atn(1) – Atn(Sgn(X) / Sqr(X * X – 1))
|
| Inverse
Cosecant
|
Arccosec(X)
= Atn(Sgn(X) / Sqr(X * X – 1))
|
| Inverse
Cotangent
|
Arccotan(X)
= 2 * Atn(1) - Atn(X)
|
| Hyperbolic
Sine
|
HSin(X) =
(Exp(X) – Exp(-X)) / 2
|
| Hyperbolic
Cosine
|
HCos(X) =
(Exp(X) + Exp(-X)) / 2
|
| Hyperbolic
Tangent
|
HTan(X) =
(Exp(X) – Exp(-X)) / (Exp(X) + Exp(-X))
|
| Hyperbolic
Secant
|
HSec(X) = 2
/ (Exp(X) + Exp(-X))
|
| Hyperbolic
Cosecant
|
HCosec(X) =
2 / (Exp(X) – Exp(-X))
|
| Hyperbolic
Cotangent
|
HCotan(X) =
(Exp(X) + Exp(-X)) / (Exp(X) – Exp(-X))
|
| Inverse
Hyperbolic Sine
|
HArcsin(X) =
Log(X + Sqr(X * X + 1))
|
| Inverse
Hyperbolic Cosine
|
HArccos(X) =
Log(X + Sqr(X * X – 1))
|
| Inverse
Hyperbolic Tangent
|
HArctan(X) =
Log((1 + X) / (1 – X)) / 2
|
| Inverse
Hyperbolic Secant
|
HArcsec(X) =
Log((Sqr(-X * X + 1) + 1) / X)
|
| Inverse
Hyperbolic Cosecant
|
HArccosec(X)
= Log((Sgn(X) * Sqr(X * X + 1) + 1) / X)
|
| Inverse
Hyperbolic Cotangent
|
HArccotan(X)
= Log((X + 1) / (X – 1)) / 2
|
| Logarithm to
base N
|
LogN(X) =
Log(X) / Log(N)
|
