Mathematical Functions
Content:
- Examples of mathematical functions
- Important remarks (>> go there)
- List of mathematical functions
1. Examples of mathematical functions
Every signal can be have one or more mathematical functions
Examples (see picture):
Signal 8:
- raw data will be divided by 10
- then absolut value will be calculated
- then value 5 will be added
Signal 9:
- raw data will be filtered with pt1 filter, tau = 0.23s (pt1(0.23))
- then it will be divided by 10
Signal 10
- integral over whole range
Signal 11
- integral from 34.2 to 100.9s
2. Important remark about multiple use of mathematical functions:
See picture below:
3. List of mathematical functions
The following special functions you can use only once in a row:
| Pt1pt1(1) | Pt1-filter not causal (no phase shift), 1s, | |
| Pt1(1) | Pt1-filter (1s) or: Pt1(2,5) unsym. filter, | |
| Dt1Dt1(1) | Differenciate not causal, 1s | |
| Dt1(1) | Differenciate, 1s | |
| Int() | Integral, also possible int(3,10) -> from to | |
| Intfol(2,1,1e12,1e12 | Follow Integrator, UpTime, DownTime (for 100), SetRange | |
| Func(0,0,100,50) | Function with data points (x1,y1,x2,y2,x3,y3....; max. 50) | |
| Bit(0[,12,13..]) | Bitmask, 0=bit0,..., | |
| Trig(30,-30,0,1) | Trigger (UpperLimit, LowerLimit, OnDelay, OffDelay) True, when between UL and LL | |
| TBC() | Time Between Changing of signal value (usefull especially for bit signals) | |
| DeltaY(0,1) | (Offs,dt) Value difference between delta t | |
| Limit(100,-100) | Limiter (UpperLimit,LowerLimit), limits values | |
| Count(>0) | Counter (compare modes: <>v, >=v, <=v, =v, >v, <, '', <, >), v = value | |
| RMS(1) | Root Mean Square, RMS(periode)' | |
| SMA(1) | Simple Moving Average, SMA(periode) |
The following basic functions you can use multiple in a row.
They will be calculated in the order they are written
| +, -, *, /, ^ | Basic mathematic functions |
| Div | Integer division, result is integer |
| Mod | Integer modula, result is integer |
| WordToInt | Converts word into integer |
| ByteToShortInt | Converts byte into short integer |
| WordToFup | Converts word into Fupla and division by 40.96 |
| ByteToInt | Converts Byte to Int (0..255 -> -128....+127) |
| WordLowByte | Converts Low Byte of Word to Byte |
| WordHighByte | Converts High Byte of Word to Byte |
| ByteSwap | Swaps bytes of a word |
| WordSwap | Swaps words of a double word |
| DWordToLong | Converts a double word into longinteger |
| Reci | Reciproke value |
| Abs | Abolute value |
| Trunc | Floatingpoint to integer |
| Round | Round floatingpoint to integer |
| Sign | Case x of =0 : result=0, >0 : result=1, <0 : result=-1 |
| Sin, Asin | Sinus, Arcus sinus |
| Cos, Acos | Cosinus, Arcus cosinus |
| Tan, Atan | Tangens, Arcus tangens |
| Ln | Natural logarithm |
| Exp | Exponential function; Invers function of natural logarithm |
| Log | Logarithm based to 10; Tens logarithm |
| InvLog | 10^x, Invers function of tens logarithm |
| GPSposToFloat | Converts GPS value to Angle (Real) |
| UTCtoDateTime | Converts UTC time to DateTime format |
| DTTOPOSIX | Converts Datetime (days since 1900) to POSIX format) |