Mathematics

Mathematics provides you with the option of performing mathematical operations with as much as 20 variables. The variables are determined by input values.

Contents

Inputs and outputs

Inputs:

GATE (see Logic Elements | Datapoint-Gate)
IN 1–…
Each variable is represented by an input.

Outputs:

OUT
The result of the calculation.

Configuration

Inputs

20 inputs are possible in total.

Denomination

You may adapt the variable denominations corresponding with the inputs. By default, the variables are referred to as in1, in2, …, in20.

Note: Space characters in the denomination result in errors when executing the formula.

Default value

If there is not a value at the related input yet or if the present value cannot be used as a float (Float), the stored default value will be used for calculation.

Execution

Here, you can define whether a calculation is to be triggered when a new value is received at the corresponding input. At this point, it does not yet matter whether this value can be used as a float (Float) later.
The options include:

Always Calculate on Input
A calculation is triggered for every input
Never Calculate on Input
No calculation is triggered, ever. However, this value will be used for calculation.
Calculate on value change
Calculation is only triggered if the value for the input changes. E.g. if a value of 1.0 is sent 100-times in a row, calculation will only be triggered after the first time.

Add and delete

Using the + symbol, new inputs are added, and using the symbol, individual inputs are deleted.

Formula

Within the formula, you can use all defined variables. Multiplication and division precede addition and subtraction. The order of calculation can be influenced by using brackets. In addition to the values defined by you, you may use the following supporting variables and functions:

Variables

Name	Description
pi	The circle constant – accuracy roughly 3,141592653589793
e	The Euler's number – accuracy roughly 2,718281828459045

Operators

Name	Description
+	Addition
-	Subtraction
*	Multiplication
/	Division
**	Exponentiation
%	Modulo (Remainder)

Functions

Name	Parameter	Description
sin(x)	1	Sine
cos(x)	1	Cosine
tan(x)	1	Tangent
asin(x)	1	Arcsines
acos(x)	1	Arccosine
atan(x)	1	Arctangent
abs(x)	1	The absolute value of transfer - -10.0 becomes 10.0
ceil(x)	1	Rounding up
floor(x)	1	Rounding down
log(x)	1	Logarithm
sqrt(x)	1	Square root
rand()	0	Random number between 0.0 and 1.0
max(x,y)	2	Maximum value
min(x,y)	2	Minimum value

The decimal separator is the point ".". When analysing the variables and functions, upper and lower case are taken into account. Thus, pi is not Pi or PI or pI.

Examples

rand() * 100.0
creates a random number between 0.0 and 100.0
min(in1, in2)
wherein in1 = 10.0 and in2 = 8.0 - the result would be 8.0
2**2 - sqrt(4)
results in 0 - 2² results in 4 and the root of 16 also is four. Subtraction is performed last.
ceil(2.333)
results in 3
floor(2.6)
results in 2
floor(in1 + 0.5)
wherein in1 = 2.6 - results in 3. This way, asymmetric rounding is possible.

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