LinearTrafo (FB)¶

FUNCTION_BLOCK LinearTrafo

This function will calculate the linear transformation \(y \in \mathbb{R}\) of \(x \in \mathbb{R}\) according to

\[ \begin{align}\begin{aligned}\frac{y - y_{1}}{y_{2}-y_{1}} = \frac{x-x_{1}}{x_{2}-x_{1}}\\\mathrm{with}\ x_{1}, x_{2}, y_{1}, y_{2} \in \mathbb{R}\ \mathrm{and}\ x_{1} \neq x_{2} \land x_{1} \leq x \leq x_{2}\end{aligned}\end{align} \]

InOut:

Scope	Name	Type	Comment
Input	`lrInputValue`	`LREAL`	Value \(x\) to be transformated
	`lrInput1`	`LREAL`	Coefficient \(x_{1} \in \mathbb{R}\)
	`lrInput2`	`LREAL`	Coefficient \(x_{2} \in \mathbb{R}\)
	`lrOutput1`	`LREAL`	Coefficient \(y_{1} \in \mathbb{R}\)
	`lrOutput2`	`LREAL`	Coefficient \(y_{2} \in \mathbb{R}\)
Output	`lrOutputValue`	`LREAL`	Linear transformation \(y \in \mathbb{R}\) of \(x \in \mathbb{R}\)
Output	`xOutOfLimits`	`BOOL`	Error flag `TRUE`: If \(x_{1} = x_{2} \lor x < x_{1} \lor x > x_2\)