geometrical functions ¶ Line Functions ProjectPointOnLine (Function) Plane Functions CalcHesseRepresentation (FunctionBlock) ProjectPointOnPlane (Function) Polar coordinates CartesianToPolar (FunctionBlock) PolarToCartesian (FunctionBlock) Vector Functions AddMultiplicatedVector (Function) CrossProduct (FunctionBlock) CrossProductNormed (FunctionBlock) MakeNormed3D (Function) Norm3D (Function) ScalProd3D (Function) ScalProd3DStand (Function) SubVector (Function)

Line Functions ¶ ProjectPointOnLine (Function)

Plane Functions ¶ CalcHesseRepresentation (FunctionBlock) ProjectPointOnPlane (Function)

Polar coordinates ¶ CartesianToPolar (FunctionBlock) PolarToCartesian (FunctionBlock)

Vector Functions ¶ AddMultiplicatedVector (Function) CrossProduct (FunctionBlock) CrossProductNormed (FunctionBlock) MakeNormed3D (Function) Norm3D (Function) ScalProd3D (Function) ScalProd3DStand (Function) SubVector (Function)

signals ¶ MeasureFrequence (FunctionBlock)

MeasureFrequence (FB) ¶ FUNCTION_BLOCK MeasureFrequence This function block will measure the average frequency of an input signal over a defined number of periods. Note The function block has to be called with a frequency higher than the maximum frequency of the input signal to be able to calculate the correct result. InOut: Scope Name Type Initial Comment Input xEnable BOOL Reset xInput BOOL Input signal usiPeriods USINT (1..10) 1 Number of time periods the frequency shall be averaged in ( \(1 \leq \mbox{number} \leq 10\) ) Output lrFrequency LREAL Avareged frequency (in Hz) xValid BOOL Validity of result FALSE : If the required number of time periods has not yet been passed or if the distance in time of two raising edges exceeds \(3 \cdot \mbox{lrFrequency}\)

statistical functions ¶ Statistics_DINT (FunctionBlock) Statistics_LREAL (FunctionBlock) Variance (FunctionBlock)

Statistics_DINT (FB) ¶ FUNCTION_BLOCK Statistics_DINT This function block will update the values of minimum, maximum and average with respect to the integral input parameter \(x_{n}\) , which will be added to a set of integral data \(x_{n-1},\dots,x_{1}\) (stemming from previous calls). \[\left \lfloor \frac{\sum_{i=1}^{n}x_{i}+\left \lfloor \frac{n}{2} \right \rfloor}{n} \right \rfloor\] Note Pay attention, that the returned average is of type DINT . In contrast to the arithmetic mean the result will be rounded. InOut: Scope Name Type Initial Comment Input xEnable BOOL Reset diInput DINT New data \(x_{n}\) Output diMin DINT 16#7FFFFFFF Minimum of set \(x_{n},\dots,x_{1}\) diMax DINT DWORD_TO_DINT(16#80000000) Maximum of set \(x_{n},\dots,x_{1}\) diAverage DINT Rounded avarage of data \(x_{n},\dots,x_{1}\) xOverrun BOOL TRUE : In case of overflow The module will compensate this by a minor weighting of the old data leading to inaccuracy of the result

Statistics_LREAL (FB) ¶ FUNCTION_BLOCK Statistics_LREAL This function block will update the values of minimum, maximum and average with respect to the integral input parameter \(x_{n}\) , which will be added to a set of integral data \(x_{n-1},\dots,n_{1}\) (stemming from previous calls). The arithmetic mean \(\bar{x}\) of the values \(x_{n},\dots,x_{1}\) is calculated by: \[\bar{x} = \frac{1}{n}\sum_{i=1}^{n}x_{i}\] InOut: Scope Name Type Initial Comment Input xEnable BOOL Reset lrInput LREAL New data \(x_{n}\) Output lrMin LREAL LREAL#1E+80 Minimum of set \(x_{n},\dots,x_{1}\) lrMax LREAL LREAL#-1E+80 Maximum of set \(x_{n},\dots,x_{1}\) lrAverage LREAL Arithmetic mean of data \(x_{n},\dots,x_{1}\) xOverrun BOOL TRUE : In case of overflow The module will compensate this by a minor weighting of the old data leading to inaccuracy of the result