KPI Expressions

This sections explains the syntax, and available functions for the KPI expressions. This language is similar in concept to the Math Expressions but has some differences in behaviour and functions available due to the different applications of the language (operating on time series data versus the structured parameters that the Math Expressions are used to interact with).

When writing a math expression there will be an auto complete functionality that can help to find channel and function names.

Syntax

When writing a KPI expression, math channels, constants, data channels and custom expressions from the current Data Analysis Profile can be accessed and functions can be called to perform operations. Basic numerical operators are available.

Operators

The following numerical operators are available:

+ addition
- subtraction
* multiplication
/ division

The following boolean operators are available:

< less than
<= less than or equal
< greater than
<= greater than or equal
&& and
|| or
== equal
!= not equal

Unit Management

Whenever a data channel is accessed, a unit conversion can be performed to change the returned unit. The base unit of the data channel is defined by the data file that is read. This is done using square brackets, for example xDamperFL["mm"]. A list of all available dimensions and units can be found in the units documentation.

Function Reference

This section lists all functions that are available to be used in math expressions. Note that some functions return a vector and therefore cannot be used directly as KPI results, as the KPI results must be a scalar value. Functions that return scalar values and can be used as KPI results are highlighted in blue text.

Abs


Abs(DoubleChannel)	Returns a channel containing the absolute value for each point of the input.
Abs(DoubleChannel[])	Returns an array of channels containing the absolute value for each data point.
Abs(double)	Returns the absolute value of the input.

Abs(DoubleChannel vector)

Returns a channel containing the absolute value for each point of the input.

Parameters
DoubleChannel vector A channel to take the absolute values of.
Returns
DoubleChannel A channel of positive decimals.
Examples
 Abs(Steering) = {0,0,0,15,17,20,12,0,0,0...}

Abs(DoubleChannel[] vectors)

Returns an array of channels containing the absolute value for each data point.

Parameters
DoubleChannel[] vectors An array of channel to take the absolute values of.
Returns
DoubleChannel[] An array of channels containing only positive decimals.

Abs(double value)

Returns the absolute value of the input.

Parameters
double value An array of positive decimals.
Returns
double A positive decimal.
Examples
Abs(-3) = 3

ACos


ACos(DoubleChannel)	Returns a channel containing the arccosine of all the items in the original channel.
ACos(DoubleChannel[])	Returns an array of channels containing the arccosine of all the items in the original channels.
ACos(double)	Returns the angle whose cosine is the specified value.

ACos(DoubleChannel vector)

Returns a channel containing the arccosine of all the items in the original channel.

Parameters
DoubleChannel vector A channel of numbers with values greater than or equal to -1, but less than or equal to 1.
Returns
DoubleChannel A channel of angles, measured in radians, such that each value θ obeys 0 ≤ θ ≤ π.
Examples
ACos(Steering)

ACos(DoubleChannel[] vectors)

Returns an array of channels containing the arccosine of all the items in the original channels.

Parameters
DoubleChannel[] vectors An array of channels with values greater than or equal to -1, but less than or equal to 1.
Returns
DoubleChannel[] A list of channels containing values measured in radians, such that each value θ obeys 0 ≤ θ ≤ π.

ACos(double value)

Returns the angle whose cosine is the specified value.

Parameters
double value A number representing a cosine, must be greater than or equal to -1, but less than or equal to 1.
Returns
double Returns the angle whose cosine is the specified number.
Examples
ACos(1)=0

ASin


ASin(DoubleChannel)	Returns a channel containing the arcsine of all the items in the original channel.
ASin(DoubleChannel[])	Returns an array of channels containing the arcsine of all the items in the original channels.
ASin(double)	Returns the angle whose sine is the specified number.

ASin(DoubleChannel vector)

Returns a channel containing the arcsine of all the items in the original channel.

Parameters
DoubleChannel vector A channel of numbers with values greater than or equal to -1, but less than or equal to 1.
Returns
DoubleChannel A channel of angles, measured in radians, such that each value θ obeys -π/2 ≤ θ ≤ π/2.
Examples
ASin(Steering)

ASin(DoubleChannel[] vectors)

Returns an array of channels containing the arcsine of all the items in the original channels.

Parameters
DoubleChannel[] vectors An array of channels with values greater than or equal to -1, but less than or equal to 1.
Returns
DoubleChannel[] A list of channels containing values measured in radians, such that each value θ obeys -π/2 ≤ θ ≤ π/2.

ASin(double value)

Returns the angle whose sine is the specified number.

Parameters
double value A number representing a sine, must be greater than or equal to -1, but less than or equal to 1.
Returns
double An angle, θ, measured in radians, such that -π/2 ≤ θ ≤ π/2.
Examples
ASin(0)=0

ATan


ATan(DoubleChannel)	Returns a channel containing the arctangent of all the items in the original channel.
ATan(DoubleChannel[])	Returns an array of channels containing the arctangent of all the items in the original channels.
ATan(double)	Returns the angle whose tangent is the specified number.

ATan(DoubleChannel vector)

Returns a channel containing the arctangent of all the items in the original channel.

Parameters
DoubleChannel vector A channel of numbers.
Returns
DoubleChannel A channel of angles, measured in radians, such that each value θ obeys -π/2 ≤ θ ≤ π/2.
Examples
ATan(Steering)

ATan(DoubleChannel[] vectors)

Returns an array of channels containing the arctangent of all the items in the original channels.

Parameters
DoubleChannel[] vectors An array of channels.
Returns
DoubleChannel[] A list of channels containing values measured in radians, such that each value θ obeys -π/2 ≤ θ ≤ π/2.

ATan(double value)

Returns the angle whose tangent is the specified number.

Parameters
double value A number representing a tangent.
Returns
double An angle, θ, measured in radians, such that -π/2 ≤ θ ≤ π/2.
Examples
ATan(0)=0

AverageAll


AverageAll(DoubleChannel)	Returns a single value that is the average of all values in the channel.
AverageAll(DoubleChannel[])	Returns a single value that is the average of all values in all channels.
AverageAll(double)	Returns the value passed.
AverageAll(double[])	Returns a single value that is the average of all values given.

AverageAll(DoubleChannel vector)

Returns a single value that is the average of all values in the channel.

Parameters
DoubleChannel vector A channel of numbers.
Returns
double A scalar decimal representing the average of all values in all channels passed.
Examples
AverageAll(vCornerMin)

AverageAll(DoubleChannel[] vectors)

Returns a single value that is the average of all values in all channels.

Parameters
DoubleChannel[] vectors An array of one or more channels.
Returns
double An array of numbers

AverageAll(double value)

Returns the value passed.

Parameters
double value A number
Returns
double A scalar decimal representing the average of all values passed.

AverageAll(double[] values)

Returns a single value that is the average of all values given.

Parameters
double[] values An array of one or more numbers.
Returns
double An array of numbers
Examples
AverageAll({ 5, 6, 7, 8 }) = 6.5

Avg


Avg(DoubleChannel)	Returns the mean value from the entire channel.
Avg(DoubleChannel[])	An array containing the average value of each channel given.
Avg(DoubleChannel, DoubleChannel)	Returns a channel containing the avg point by point of two channels.
Avg(DoubleChannel[], DoubleChannel[])	Returns an array of the same length as each input array of channels containing the element-wise average of the two arrays of channels zipped
Avg(double, double)	The average value of all values and arrays given.
Avg(double[], double[])	The average value of all values and arrays given.

Avg(DoubleChannel vector)

Returns the mean value from the entire channel.

Parameters
DoubleChannel vector A double channel.
Returns
double The average value of the input channel.
Examples
Avg(FLWheelSpeed) = 175 // Mean value of the FLWheelSpeed over the lap

Avg(DoubleChannel[] vectors)

An array containing the average value of each channel given.

Parameters
DoubleChannel[] vectors An array of channels.
Returns
double[] An array containing the average value of each channel given.
Examples
Avg({ FLWheelSpeed, FRWheelSpeed }) = { 175, 176 } // The mean value of each front wheel speed over the lap

Avg(DoubleChannel vector, DoubleChannel vector1)

Returns a channel containing the avg point by point of two channels.

Parameters
DoubleChannel vector A double channel.
DoubleChannel vector1 A double channel.
Returns
DoubleChannel A channel of the element-wise average of the two input channels.
Examples
Avg(FLWheelSpeed, FRWheelSpeed) // Returns a channel with the average front wheel speed

Avg(DoubleChannel[] vectors, DoubleChannel[] vectors1)

Returns an array of the same length as each input array of channels containing the element-wise average of the two arrays of channels zipped

Parameters
DoubleChannel[] vectors An array of channels.
DoubleChannel[] vectors1 An array of channels of the same length as the first parameter.
Returns
DoubleChannel[] An array of the same length as each input array of channels.
Examples
Avg({ FLWheelSpeed, RLWheelSpeed }, { FRWheelSpeed, RRWheelSpeed }) // Returns { AvgFrontWheelSpeed, AvgRearWheelSpeed }

Avg(double value, double value1)

The average value of all values and arrays given.

Parameters
double value A number
double value1 A number
Returns
double The average value of all values and arrays given.
Examples
Avg(5,6) = 5.5

Avg(double[] values, double[] values1)

The average value of all values and arrays given.

Parameters
double[] values An array of numbers
double[] values1 An array of numbers
Returns
double A number

AvgChannel


AvgChannel(DoubleChannel)	Returns a channel populated with the average value from the channel.
AvgChannel(DoubleChannel[])	Returns an array of channels populated with the average values from the channels.
AvgChannel(DoubleChannel, BooleanChannel)	Returns a channel populated with the average value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.
AvgChannel(DoubleChannel[], BooleanChannel[])	Returns an array of channels populated with the average values from the channels, the condition parameter allows a boolean channel to be used to control when the calculation is performed.
AvgChannel(DoubleChannel, BooleanChannel, BooleanChannel)	Returns a channel populated with the average value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.
AvgChannel(DoubleChannel[], BooleanChannel[], BooleanChannel[])	Returns an array of channels populated with the average values from the channels, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.

AvgChannel(DoubleChannel input)

Returns a channel populated with the average value from the channel.

Parameters
DoubleChannel input A double channel.
Returns
DoubleChannel A channel populated with the average value from the channel.
Examples
AvgChannel(vGps)

AvgChannel(DoubleChannel[] inputs)

Returns an array of channels populated with the average values from the channels.

Parameters
DoubleChannel[] inputs An array of channels.
Returns
DoubleChannel[] An array of channels of the same length as input.

AvgChannel(DoubleChannel input, BooleanChannel condition)

Returns a channel populated with the average value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel input A double channel.
BooleanChannel condition The channel that determines what values should be considered from input.
Returns
DoubleChannel A channel populated with the average value from the channel.
Examples
AvgChannel(vGps, HighSpeedCornerGate)

AvgChannel(DoubleChannel[] inputs, BooleanChannel[] conditions)

Returns an array of channels populated with the average values from the channels, the condition parameter allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel[] inputs An array of channels.
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
Returns
DoubleChannel[] An array of channels of the same length as input.

AvgChannel(DoubleChannel input, BooleanChannel condition, BooleanChannel reset)

Returns a channel populated with the average value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.

Parameters
DoubleChannel input A double channel.
BooleanChannel condition The channel that determines what values should be considered from input.
BooleanChannel reset A boolean channel that when a true value is encountered, resets the computation.
Returns
DoubleChannel A channel populated with the average value from the channel.
Examples
AvgChannel(vGps, HighSpeedCornerGate, StartEndHighSpeedCornerGate)

AvgChannel(DoubleChannel[] inputs, BooleanChannel[] conditions, BooleanChannel[] resets)

Returns an array of channels populated with the average values from the channels, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.

Parameters
DoubleChannel[] inputs An array of channels.
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
BooleanChannel[] resets An array of boolean channels that, when a true value is encountered, resets the computation.
Returns
DoubleChannel[] An array of channels of the same length as input.

BitDecode


BitDecode(DoubleChannel, double)	Extracts the value of a certain bit defined by zero-based *shift* from each value in the input channel and returns the new channel of bits.
BitDecode(DoubleChannel[], double)	Extracts the value of a certain bit defined by zero-based *shift* from each value in each input channel and returns an array of channels of the same length as the input.
BitDecode(double, double)	Extracts the value of a certain bit defined by zero-based *shift*
BitDecode(DoubleChannel, double, double)	Extracts the value of certains bits defined by zero-based *shift* and *length*
BitDecode(DoubleChannel[], double, double)	Extracts the value of certains bits defined by zero-based *shift* and *length*
BitDecode(double, double, double)	Extracts the value of certains bits defined by zero-based *shift* and *length*

BitDecode(DoubleChannel vector, double shift)

Extracts the value of a certain bit defined by zero-based shift from each value in the input channel and returns the new channel of bits.

Parameters
DoubleChannel vector A channel
double shift The number of bits to shift the input by.
Returns
DoubleChannel A channel consisting of values of 0 and 1.
Examples
BitDecode(SwitchPanelButtonStates, 2) -> extracts bit 2 (from the right) of the channel SwitchPanelButtonStates

BitDecode(DoubleChannel[] vectors, double shift)

Extracts the value of a certain bit defined by zero-based shift from each value in each input channel and returns an array of channels of the same length as the input.

Parameters
DoubleChannel[] vectors An array of channels
double shift The number of bits to shift the input by.
Returns
DoubleChannel[] An array of channels consisting of values of 0 and 1.

BitDecode(double value, double shift)

Extracts the value of a certain bit defined by zero-based shift

Parameters
double value The base value.
double shift The zero-based index of the bit to extract.
Returns
double The value of a specific bit defined by shift
Examples
BitDecode(57, 2) = 0 // (binary representation of 57 is 00111001 and the bit 2 (from the right) is 0)

BitDecode(DoubleChannel vector, double shift, double length)

Extracts the value of certains bits defined by zero-based shift and length

Parameters
DoubleChannel vector The the channel to take from.
double shift The zero-based index of the first bit to take
double length The number of bits to take from the right.
Returns
DoubleChannel A channel of the selected bits from the input channel.
Examples
BitDecode(SwitchPanelButtonStates, 2, 2) -> extracts the value of bits 2 + 3 (from the right) of the channel SwitchPanelButtonStates

BitDecode(DoubleChannel[] vectors, double shift, double length)

Extracts the value of certains bits defined by zero-based shift and length

Parameters
DoubleChannel[] vectors An array of channels to take from.
double shift The zero-based index of the first bit to take
double length The number of bits to take from the right.
Returns
DoubleChannel[] An array of channels containing the selected bits from the input channels.

BitDecode(double value, double value1, double length)

Extracts the value of certains bits defined by zero-based shift and length

Parameters
double value A double.
double value1 The zero-indexed first bit to take.
double length The number of bits to take, from the right.
Returns
double A base 10 decimal representation of the bits extracted from the input number.
Examples
BitDecode(57, 2, 2) = 2 // (binary representation of 57 is 00111001 and the bits 2+3 (from the right) are 1 and 0. Binary 10 results in decimal 2)

Ceiling


Ceiling(DoubleChannel)	Returns a channel containing each value in the input mapped to the smallest integer value that is greater than or equal to it.
Ceiling(DoubleChannel[])	Returns an array of channels containing each value in the input mapped to the smallest integer value that is greater than or equal to it.
Ceiling(double)	Returns the smallest integer value that is greater than or equal to the specified double-precision floating-point number.

Ceiling(DoubleChannel vector)

Returns a channel containing each value in the input mapped to the smallest integer value that is greater than or equal to it.

Parameters
DoubleChannel vector A channel
Returns
DoubleChannel A channel of integers.
Examples
Ceiling(rpm / 2) -> each value divided by 2 rounded up to the nearest integer in the rpm channel

Ceiling(DoubleChannel[] vectors)

Returns an array of channels containing each value in the input mapped to the smallest integer value that is greater than or equal to it.

Parameters
DoubleChannel[] vectors An array of channels
Returns
DoubleChannel[] An array of integer channels.

Ceiling(double value)

Returns the smallest integer value that is greater than or equal to the specified double-precision floating-point number.

Parameters
double value A double
Returns
double The largest integer value less than or equal to the specified number.
Examples
Ceiling(3 / 2) = 2

Change


Change(DoubleChannel)	Returns the difference between the last value of the channel and the start value of a channel.
Change(DoubleChannel[])	Returns the difference between the last value of the channel and the start value of a channel for each channel in the input.

Change(DoubleChannel vector)

Returns the difference between the last value of the channel and the start value of a channel.

Parameters
DoubleChannel vector A channel.
Returns
double A channel of the same length as the input.
Examples
Change(FuelLevel)

Change(DoubleChannel[] vectors)

Returns the difference between the last value of the channel and the start value of a channel for each channel in the input.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
double[] An array of channels of the same length as the input.
Examples
Change({ FuelLevel, OilTemp })

Choose


Choose(bool, object, object)	Returns a channel with *trueResult* if the condition is true, otherwise returns *falseResult*.

Choose(bool condition, object trueResult, object falseResult)

Returns a channel with trueResult if the condition is true, otherwise returns falseResult.

Parameters
bool condition A boolean condition to evaluate.
object trueResult The value to return if condition evalutes to true.
object falseResult The value to return if condition evalutes to false.
Returns
object Either trueResult or falseResult.
Examples
Choose(BrakePressure > 5,BrakePressure, Invalid())

Cos


Cos(DoubleChannel)	Returns a channel containing the cosine of all the items in the original channel.
Cos(DoubleChannel[])	Returns an array of channels containing the cosine of all the items in the original channels.
Cos(double)	Returns the cosine of the value.

Cos(DoubleChannel vector)

Returns a channel containing the cosine of all the items in the original channel.

Parameters
DoubleChannel vector The channel to take the cosine of.
Returns
DoubleChannel A channel containing the cosine of each individual value.
Examples
Cos(Steering)

Cos(DoubleChannel[] vectors)

Returns an array of channels containing the cosine of all the items in the original channels.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
DoubleChannel[] An array of channels of the same dimension as the input.

Cos(double value)

Returns the cosine of the value.

Parameters
double value The number to take the cosine of.
Returns
double The cosine.
Examples
Cos(0)=1

Count


Count(DoubleChannel)	Returns the number of points in the channel.
Count(DoubleChannel[])	Returns an array containing the number of points in each channel given.
Count(BooleanChannel)	Returns the number of points in the channel.
Count(BooleanChannel[])	Returns an array containing the number of points in each channel given.

Count(DoubleChannel vector)

Returns the number of points in the channel.

Parameters
DoubleChannel vector A channel.
Returns
double A single integer.
Examples
Count(Choose(ThrottlePos>90,1,Invalid())) = 890

Count(DoubleChannel[] vectors)

Returns an array containing the number of points in each channel given.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
double[] An array of integers of the same length as the input.
Examples
Count(ThrottlePos, BrakePressure)

Count(BooleanChannel vector)

Returns the number of points in the channel.

Parameters
BooleanChannel vector A channel.
Returns
double A single integer.

Count(BooleanChannel[] vectors)

Returns an array containing the number of points in each channel given.

Parameters
BooleanChannel[] vectors An array of channels containing boolean data
Returns
double[] An array of integers of the same length as the input.

CountAll


CountAll(DoubleChannel)	Returns a single value that is the count of all elements.
CountAll(DoubleChannel[])	Returns a single value that is the count of all elements in all arrays and channels given.
CountAll(double)	Returns a single value that is the count of all elements.
CountAll(double[])	Returns a single value that is the count of all elements in all arrays and channels given.

CountAll(DoubleChannel vector)

Returns a single value that is the count of all elements.

Parameters
DoubleChannel vector A channel
Returns
double An integer value of the total number elements in the channel given.
Examples
CountAll(vCornerMin)

CountAll(DoubleChannel[] vectors)

Returns a single value that is the count of all elements in all arrays and channels given.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
double An integer value of the total number elements in the channels given.

CountAll(double value)

Returns a single value that is the count of all elements.

Parameters
double value A single value.
Returns
double An integer

CountAll(double[] values)

Returns a single value that is the count of all elements in all arrays and channels given.

Parameters
double[] values An array of values to count.
Returns
double An integer

Derivative


Derivative(DoubleChannel)	Returns a channel of the derivative for each point of the channel. A two-point forward method is used.
Derivative(DoubleChannel[])	Returns an array of channels containing the derivatives for each point of the inputs. A two-point forward method is used.

Derivative(DoubleChannel vector)

Returns a channel of the derivative for each point of the channel. A two-point forward method is used.

Parameters
DoubleChannel vector The channel to take the derivative of.
Returns
DoubleChannel A channel
Examples
Derivative(Speed)

Derivative(DoubleChannel[] vectors)

Returns an array of channels containing the derivatives for each point of the inputs. A two-point forward method is used.

Parameters
DoubleChannel[] vectors An array of channels to take the derivative of.
Returns
DoubleChannel[] An array of channels

EdgeDelayFall


EdgeDelayFall(BooleanChannel, double)	Offsets edges by time
EdgeDelayFall(BooleanChannel[], double)	Offsets the edges of each given channel by the given time

EdgeDelayFall(BooleanChannel vector, double value)

Offsets edges by time

Parameters
BooleanChannel vector Channel to delay.
double value Amount of time to delay by (seconds).
Returns
BooleanChannel A boolean channel with the falling edge delayed by the specified amount.
Examples
EdgeDelayFall(Throttle > 90, 1.0)

EdgeDelayFall(BooleanChannel[] vectors, double value)

Offsets the edges of each given channel by the given time

Parameters
BooleanChannel[] vectors An array of channels to delay.
double value Amount of time to delay by (seconds).
Returns
BooleanChannel[] An array of boolean channels with the falling edge delayed by the specified amount.

EdgeDelayRise


EdgeDelayRise(BooleanChannel, double)	Offsets edges by time
EdgeDelayRise(BooleanChannel[], double)	Offsets the edges of each given channel by the given time

EdgeDelayRise(BooleanChannel vector, double value)

Offsets edges by time

Parameters
BooleanChannel vector Channel to delay.
double value Amount of time to delay by (seconds).
Returns
BooleanChannel A boolean channel with the rising edge delayed by the specified amount.
Examples
EdgeDelayRise(Throttle > 90, 1.0)

EdgeDelayRise(BooleanChannel[] vectors, double value)

Offsets the edges of each given channel by the given time

Parameters
BooleanChannel[] vectors An array of channels to delay.
double value Amount of time to delay by (seconds).
Returns
BooleanChannel[] An array of boolean channels with the rising edge delayed by the specified amount.

Exp


Exp(DoubleChannel)	Returns a channel containing the EXP of all the items in the original channel, where EXP returns e raised to the nth power, where e = 2.71828183
Exp(DoubleChannel[])	Returns an array of channels containing the EXP of all the items in the original channels, where EXP returns e raised to the nth power, where e = 2.71828183
Exp(double)	EXP returns e raised to the nth power, where e = 2.71828183

Exp(DoubleChannel vector)

Returns a channel containing the EXP of all the items in the original channel, where EXP returns e raised to the nth power, where e = 2.71828183

Parameters
DoubleChannel vector A channel
Returns
DoubleChannel A channel of the same size of the input.
Examples
Exp(Steering)

Exp(DoubleChannel[] vectors)

Returns an array of channels containing the EXP of all the items in the original channels, where EXP returns e raised to the nth power, where e = 2.71828183

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
DoubleChannel[] An array of channels of the same dimension of the input.

Exp(double n)

EXP returns e raised to the nth power, where e = 2.71828183

Parameters
double n A double
Returns
double e raised to the nth power
Examples
Exp(4) = 54.59815

FallingEdge


FallingEdge(DoubleChannel)	Returns a channel of 1 and 0. 1 means that the previous item in the channel was larger than the current one.
FallingEdge(DoubleChannel[])	Returns an array of channels matching the dimension of the input array of channels containing values of either 1 or 0. 1 means that the previous item in the channel was larger than the current one.

FallingEdge(DoubleChannel vector)

Returns a channel of 1 and 0. 1 means that the previous item in the channel was larger than the current one.

Parameters
DoubleChannel vector A channel
Returns
DoubleChannel A channel of the same length as the input with each value replaced with either an integer 0 or 1.
Examples
FallingEdge(BrakePresF)

FallingEdge(DoubleChannel[] vectors)

Returns an array of channels matching the dimension of the input array of channels containing values of either 1 or 0. 1 means that the previous item in the channel was larger than the current one.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
DoubleChannel[] An array of channels of the same dimension as the input with each value replaced with either an integer 0 or 1.
Examples
FallingEdge({ BrakePresF, BrakePresR })

FilterLp


FilterLp(DoubleChannel, double)	Applies a low pass (RC) filter to the input channel.
FilterLp(DoubleChannel[], double)	Applies a low pass (RC) filter to each input channel.

FilterLp(DoubleChannel vector, double value)

Applies a low pass (RC) filter to the input channel.

Parameters
DoubleChannel vector A double channel.
double value The value to filter on.
Returns
DoubleChannel The filtered double channel.
Examples
FilterLp(rpm, 2)

FilterLp(DoubleChannel[] vectors, double value)

Applies a low pass (RC) filter to each input channel.

Parameters
DoubleChannel[] vectors An array of channels.
double value The value to filter on.
Returns
DoubleChannel[] An array of filtered channels.

FlipFlop


FlipFlop(BooleanChannel, BooleanChannel)	Result becomes true when *vector* changes to true and false when *vector1* changes to false
FlipFlop(BooleanChannel[], BooleanChannel[])	Returns an array of boolean channels based on the two input arrays zipped according to the non-array overload.

FlipFlop(BooleanChannel vector, BooleanChannel vector1)

Result becomes true when vector changes to true and false when vector1 changes to false

Parameters
BooleanChannel vector A boolean channel.
BooleanChannel vector1 A boolean channel.
Returns
BooleanChannel A boolean channel.
Examples
FlipFlop(Throttle Position > 90, Throttle Position < 10)

FlipFlop(BooleanChannel[] vectors, BooleanChannel[] vectors1)

Returns an array of boolean channels based on the two input arrays zipped according to the non-array overload.

Parameters
BooleanChannel[] vectors An array of channels containing boolean data
BooleanChannel[] vectors1 An array of channels containing boolean data
Returns
BooleanChannel[] An array of boolean channels.

Floor


Floor(DoubleChannel)	Returns a channel containing each value in the input mapped to the largest integer value that is less than or equal to it.
Floor(DoubleChannel[])	Returns an array of channels containing each value in the input mapped to the largest integer value that is less than or equal to it.
Floor(double)	Returns the largest integer value that is less than or equal to the specified double-precision floating-point number.

Floor(DoubleChannel vector)

Returns a channel containing each value in the input mapped to the largest integer value that is less than or equal to it.

Parameters
DoubleChannel vector A double channel.
Returns
DoubleChannel A channel of integers.
Examples
Floor(rpm / 2) -> each value divided by 2 rounded down to the nearest integer in the rpm channel

Floor(DoubleChannel[] vectors)

Returns an array of channels containing each value in the input mapped to the largest integer value that is less than or equal to it.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
DoubleChannel[] An array of integer channels.

Floor(double value)

Returns the largest integer value that is less than or equal to the specified double-precision floating-point number.

Parameters
double value A double.
Returns
double The largest integer value less than or equal to the specified number.
Examples
Floor(3 / 2) = 1

GpsGateSector


GpsGateSector(DoubleChannel, DoubleChannel, double, double, double, double)	Returns time spent between start- and end-coordinates. The input vectors are: Lat-Coordinates, Long-Coordinates. The input values are: Start-Lat, Start-Long, End-Lat, End-Long
GpsGateSector(DoubleChannel, DoubleChannel, double[], double[], double[], double[])	Returns an array of the time spent between each set of start- and end-coordinates.
GpsGateSector(DoubleChannel, DoubleChannel, DoubleChannel, double, double, double, double)	Returns values of "OutputChannel (i.e. Vector3)" between start- and end-coordinates, otherwise returns null. The input vectors are: Lat-Coordinates, Long-Coordinates and the Outputchannel. The input values are: Start-Lat, Start-Long, End-Lat, End-Long
GpsGateSector(DoubleChannel, DoubleChannel, DoubleChannel, double[], double[], double[], double[])	Returns an array of the same length as the number of coordinate groupings, containing values of *outputChannel* between the start- and end-coordinates

GpsGateSector(DoubleChannel gpsLatChannel, DoubleChannel gpsLongChannel, double startLat, double startLong, double endLat, double endLong)

Returns time spent between start- and end-coordinates. The input vectors are: Lat-Coordinates, Long-Coordinates. The input values are: Start-Lat, Start-Long, End-Lat, End-Long

Parameters
DoubleChannel gpsLatChannel A double channel.
DoubleChannel gpsLongChannel A double channel.
double startLat A number, degrees of latitude
double startLong A number, degrees of longitude.
double endLat A number, degrees of latitude
double endLong A number, degrees of longitude.
Returns
double A double, time spent (seconds).
Examples
GpsGateSector(GPS Latitude, GPS Longitude, 50.4457268, 5.9636154, 50.4461757, 5.9640969)

GpsGateSector(DoubleChannel gpsLatChannel, DoubleChannel gpsLongChannel, double[] startLats, double[] startLongs, double[] endLats, double[] endLongs)

Returns an array of the time spent between each set of start- and end-coordinates.

Parameters
DoubleChannel gpsLatChannel A double channel.
DoubleChannel gpsLongChannel A double channel.
double[] startLats Array of numbers, degrees of latitude.
double[] startLongs Array of numbers, degrees of longitude.
double[] endLats Array of numbers, degrees of latitude.
double[] endLongs Array of numbers, degrees of longitude.
Returns
double[] An array of doubles, time spent (seconds).

GpsGateSector(DoubleChannel gpsLatChannel, DoubleChannel gpsLongChannel, DoubleChannel outputChannel, double startLat, double startLong, double endLat, double endLong)

Returns values of "OutputChannel (i.e. Vector3)" between start- and end-coordinates, otherwise returns null. The input vectors are: Lat-Coordinates, Long-Coordinates and the Outputchannel. The input values are: Start-Lat, Start-Long, End-Lat, End-Long

Parameters
DoubleChannel gpsLatChannel A double channel.
DoubleChannel gpsLongChannel A double channel.
DoubleChannel outputChannel A double channel.
double startLat A number, degrees of latitude
double startLong A number, degrees of longitude.
double endLat A number, degrees of longitude.
double endLong Degree of longitude, or list of degrees.
Returns
DoubleChannel Values of outputChannel between the start- and end-coordinates
Examples
GpsGateSector(GPS Latitude, GPS Longitude, aSteer, 50.4457268, 5.9636154, 50.4461757, 5.9640969)

GpsGateSector(DoubleChannel gpsLatChannel, DoubleChannel gpsLongChannel, DoubleChannel outputChannel, double[] startLats, double[] startLongs, double[] endLats, double[] endLongs)

Returns an array of the same length as the number of coordinate groupings, containing values of outputChannel between the start- and end-coordinates

Parameters
DoubleChannel gpsLatChannel A double channel.
DoubleChannel gpsLongChannel A double channel.
DoubleChannel outputChannel A double channel.
double[] startLats Array of numbers, degrees of latitude.
double[] startLongs Array of numbers, degrees of longitude.
double[] endLats Array of numbers, degrees of latitude.
double[] endLongs Array of numbers, degrees of longitude.
Returns
DoubleChannel[] An array of the same length as the number of coordinate groupings, containing values of outputChannel between the start- and end-coordinates

Integrate


Integrate(DoubleChannel)	Returns a channel of the cumulative integral from the beginning of the channel.
Integrate(DoubleChannel[])	Returns an array of channels populated with the average values from the channels.
Integrate(DoubleChannel, BooleanChannel)	Returns a channel of the cumulative integral from the beginning of the channel when the *condition* is true
Integrate(DoubleChannel[], BooleanChannel[])	Returns an array of channels populated with the average values from the channels, *condition* allows a boolean channel to be used to control when the calculation is performed.
Integrate(DoubleChannel, BooleanChannel, BooleanChannel)	Returns a channel of the cumulative integral from the beginning of the channel when *condition* is true and resets whenever *reset* contains a true value.
Integrate(DoubleChannel[], BooleanChannel[], BooleanChannel[])	Returns an array of channels populated with the average values from the channels, *condition* allows a boolean channel to be used to control when the calculation is performed, and *reset* can be used to reset the calculation.

Integrate(DoubleChannel input)

Returns a channel of the cumulative integral from the beginning of the channel.

Parameters
DoubleChannel input A double channel.
Returns
DoubleChannel A channel of the cumulative integral from the beginning of the channel.
Examples
Integrate(Abs(LateralG))

Integrate(DoubleChannel[] inputs)

Returns an array of channels populated with the average values from the channels.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
Returns
DoubleChannel[] An array of channels of the same length as input.

Integrate(DoubleChannel input, BooleanChannel condition)

Returns a channel of the cumulative integral from the beginning of the channel when the condition is true

Parameters
DoubleChannel input A double channel.
BooleanChannel condition The channel that determines when the values in input should be considered.
Returns
DoubleChannel A channel of the cumulative integral from the beginning of the channel when condition is true.
Examples
Integrate(Abs(LateralG), LateralG > 0)

Integrate(DoubleChannel[] inputs, BooleanChannel[] conditions)

Returns an array of channels populated with the average values from the channels, condition allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
Returns
DoubleChannel[] An array of channels of the same length as input.

Integrate(DoubleChannel input, BooleanChannel condition, BooleanChannel reset)

Returns a channel of the cumulative integral from the beginning of the channel when condition is true and resets whenever reset contains a true value.

Parameters
DoubleChannel input A double channel.
BooleanChannel condition The channel that determines when the values in input should be considered.
BooleanChannel reset A boolean channel that when a true value is encountered, resets the computation.
Returns
DoubleChannel A channel of the cumulative integral from the beginning of the channel when condition is true. Resets when a true value is encountered in reset.

Integrate(DoubleChannel[] inputs, BooleanChannel[] conditions, BooleanChannel[] resets)

Returns an array of channels populated with the average values from the channels, condition allows a boolean channel to be used to control when the calculation is performed, and reset can be used to reset the calculation.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
BooleanChannel[] resets An array of boolean channels that, when a true value is encountered, resets the computation.
Returns
DoubleChannel[] An array of channels of the same length as input.

Invalid


Invalid()	Returns a null value.

Invalid()

Returns a null value.

Returns
object A null value.
Examples
Invalid() = null

IsNull


IsNull(DoubleChannel)	Returns a channel of the same size as the input with each value replaced with `true` if the value is null and `false` if not.
IsNull(DoubleChannel[])	Returns an array of channels of the same size as the input with each value of each channel replaced with `true` if the value is null and `false` if not.
IsNull(BooleanChannel)	Returns a channel of the same size as the input with each value replaced with `true` if the value is null and `false` if not.
IsNull(BooleanChannel[])	Returns an array of channels of the same size as the input with each value of each channel replaced with `true` if the value is null and `false` if not.
IsNull(double)	Returns `true` if the value is null and `false` if not.
IsNull(double[])	Returns an array matching the length of the input with each value replaced with `true` if it is null and `false` if it is not.
IsNull(bool)	Returns `true` if the value is null and `false` if not.
IsNull(bool[])	Returns an array matching the length of the input with each value replaced with `true` if it is null and `false` if it is not.

IsNull(DoubleChannel vector)

Returns a channel of the same size as the input with each value replaced with true if the value is null and false if not.

Parameters
DoubleChannel vector A channel
Returns
BooleanChannel A channel booleans matching the size of the input channel.
Examples
IsNull(FuelAdded)

IsNull(DoubleChannel[] vectors)

Returns an array of channels of the same size as the input with each value of each channel replaced with true if the value is null and false if not.

Parameters
DoubleChannel[] vectors An array of channels
Returns
BooleanChannel[] An array of channels matching the length of the input array of channels.

IsNull(BooleanChannel vector)

Returns a channel of the same size as the input with each value replaced with true if the value is null and false if not.

Parameters
BooleanChannel vector A boolean channel
Returns
BooleanChannel A channel booleans matching the size of the input channel.
Examples
IsNull(GPS_Speed)

IsNull(BooleanChannel[] vectors)

Returns an array of channels of the same size as the input with each value of each channel replaced with true if the value is null and false if not.

Parameters
BooleanChannel[] vectors An array of boolean channels
Returns
BooleanChannel[] An array of channels matching the length of the input array of channels.

IsNull(double value)

Returns true if the value is null and false if not.

Parameters
double value A nullable number
Returns
bool A boolean
Examples
IsNull(12) = false

IsNull(double[] values)

Returns an array matching the length of the input with each value replaced with true if it is null and false if it is not.

Parameters
double[] values An array of nullable numbers
Returns
bool[] An array of booleans of the same length as the input.
Examples
IsNull({ 12, 0, 3 }) = { false, false, false }

IsNull(bool value)

Returns true if the value is null and false if not.

Parameters
bool value A nullable boolean
Returns
bool A boolean
Examples
IsNull(Invalid()) = true

IsNull(bool[] values)

Returns an array matching the length of the input with each value replaced with true if it is null and false if it is not.

Parameters
bool[] values An array of nullable booleans
Returns
bool[] An array of booleans of the same length as the input.
Examples
IsNull({ 1, 0 }) = { false, false }

Last


Last(DoubleChannel)	Returns the last value of the channel.
Last(DoubleChannel[])	Returns the last value of the channel.
Last(BooleanChannel)	Returns the last value of the boolean channel.
Last(BooleanChannel[])	Returns the last value of the boolean channel.

Last(DoubleChannel vector)

Returns the last value of the channel.

Parameters
DoubleChannel vector A double channel.
Returns
double A number, the last value in the channel.
Examples
Last(Integrate(Abs(LateralG)))

Last(DoubleChannel[] vectors)

Returns the last value of the channel.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
double[] An array of numbers, the last value of each channel given.

Last(BooleanChannel vector)

Returns the last value of the boolean channel.

Parameters
BooleanChannel vector A boolean channel.
Returns
bool A boolean, the last value in the channel.

Last(BooleanChannel[] vectors)

Returns the last value of the boolean channel.

Parameters
BooleanChannel[] vectors An array of channels containing boolean data
Returns
bool[] An array of booleans, the last value of each channel given.

LastChannel


LastChannel(DoubleChannel)	Returns a channel populated with the last value from the channel.
LastChannel(DoubleChannel[])	Returns a channel populated with the last value from the channel.
LastChannel(DoubleChannel, BooleanChannel)	Returns a channel populated with the last value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.
LastChannel(DoubleChannel[], BooleanChannel[])	Returns a channel populated with the last value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.
LastChannel(DoubleChannel, BooleanChannel, BooleanChannel)	Returns a channel populated with the last value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.
LastChannel(DoubleChannel[], BooleanChannel[], BooleanChannel[])	Returns a channel populated with the last value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.

LastChannel(DoubleChannel input)

Returns a channel populated with the last value from the channel.

Parameters
DoubleChannel input A double channel.
Returns
DoubleChannel A channel populated with the last value from the input channel.
Examples
LastChannel(vGps)

LastChannel(DoubleChannel[] inputs)

Returns a channel populated with the last value from the channel.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
Returns
DoubleChannel[] An array containing the last value from each channel given.

LastChannel(DoubleChannel input, BooleanChannel condition)

Returns a channel populated with the last value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel input A double channel.
BooleanChannel condition The channel that determines when the value should be taken from input.
Returns
DoubleChannel A double channel containing the value from input when the last true value in condition is encountered.
Examples
LastChannel(vGps, HighSpeedCornerGate)

LastChannel(DoubleChannel[] inputs, BooleanChannel[] conditions)

Returns a channel populated with the last value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
Returns
DoubleChannel[] An array containing the last value from each channel given.

LastChannel(DoubleChannel input, BooleanChannel condition, BooleanChannel reset)

Returns a channel populated with the last value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.

Parameters
DoubleChannel input A double channel.
BooleanChannel condition The channel that determines when the value should be taken from input.
BooleanChannel reset A boolean channel that when a true value is encountered, resets the computation.
Returns
DoubleChannel A double channel containing the value from input when the last true value in condition is encountered. Resets when a true value is encountered in reset.
Examples
LastChannel(vGps, HighSpeedCornerGate, StartEndHighSpeedCornerGate)

LastChannel(DoubleChannel[] inputs, BooleanChannel[] conditions, BooleanChannel[] resets)

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
BooleanChannel[] resets An array of boolean channels that, when a true value is encountered, resets the computation.
Returns
DoubleChannel[] An array containing the last value from each channel given.

LinCorrel


LinCorrel(DoubleChannel, DoubleChannel)	Returns the linear correlation between the two input channels using the Pearson correlation coefficient.
LinCorrel(DoubleChannel[], DoubleChannel[])	Returns the linear correlation of each pair of channels in the given two arrays using the Pearson correlation coefficient.

LinCorrel(DoubleChannel vector, DoubleChannel vector1)

Returns the linear correlation between the two input channels using the Pearson correlation coefficient.

Parameters
DoubleChannel vector A channel
DoubleChannel vector1 A channel
Returns
double The linear correlation.
Examples
LinCorrel(Lambda1,ThottlePos) = 1.12

LinCorrel(DoubleChannel[] vectors, DoubleChannel[] vectors1)

Returns the linear correlation of each pair of channels in the given two arrays using the Pearson correlation coefficient.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
DoubleChannel[] vectors1 An array of channels containing numerical data
Returns
double[] An array of numbers, the linear correlation of each pair of channels in the given two arrays.

LinFit


LinFit(DoubleChannel, DoubleChannel)	Returns the slope between the two input channels using the least-squares regression method.
LinFit(DoubleChannel[], DoubleChannel[])	Returns the slope between each pair of channels in the given two arrays using the least-squares regression method.

LinFit(DoubleChannel vector, DoubleChannel vector1)

Returns the slope between the two input channels using the least-squares regression method.

Parameters
DoubleChannel vector A channel
DoubleChannel vector1 A channel
Returns
double A number, the slope.
Examples
LinFit(LateralForce,RollAngle) = 0.58

LinFit(DoubleChannel[] vectors, DoubleChannel[] vectors1)

Returns the slope between each pair of channels in the given two arrays using the least-squares regression method.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
DoubleChannel[] vectors1 An array of channels containing numerical data
Returns
double[] An array of numbers of the same length as the inputs, the slope between each pair of channels.

Max


Max(params DoubleChannel[])	Returns the largest value of the given channel.
Max(params DoubleChannel[][])	Returns an array of the largest values in all the given channels at each index of the input arrays.
Max(params double[])	Returns the largest value of all numbers given.
Max(params double[][])	Returns an array of the largest values at each index of the input arrays.

Max(params DoubleChannel[] vector)

Returns the largest value of the given channel.

Parameters
params DoubleChannel[] vector The channels to evaluate.
Returns
double A decimal
Examples
Max(FLWheelSpeed, FRWheelSpeed) = 289 // Largest value of FLWheelSpeed and FRWheelSpeed over the lap

Max(params DoubleChannel[][] vectors)

Returns an array of the largest values in all the given channels at each index of the input arrays.

Parameters
params DoubleChannel[][] vectors One or more arrays of one or more channels to compare.
Returns
double[] An array of decimals of equal length to the input array.
Examples
Max({FLWheelSpeed, RLWheelSpeed}, {FRWheelSpeed, RRWheelSpeed}) = {289, 295} // The highest speed either front wheel reached over the lap and the highest speed either rear wheel reached over the lap

Max(params double[] value)

Returns the largest value of all numbers given.

Parameters
params double[] value The values to evaluate.
Returns
double The largest value.
Examples
Max(5,6,2) = 6

Max(params double[][] values)

Returns an array of the largest values at each index of the input arrays.

Parameters
params double[][] values One or more arrays of numbers to compare.
Returns
double[] An array of decimals equal to the length of the longest input array.
Examples
Max({3,1}, {0,2}) = { 3, 2 }

MaxChannel


MaxChannel(DoubleChannel)	Returns a channel populated with the maximum value from the channel.
MaxChannel(DoubleChannel[])	Returns an array containing the maximum value from each channel given.
MaxChannel(DoubleChannel, BooleanChannel)	Returns a channel populated with the maximum value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.
MaxChannel(DoubleChannel[], BooleanChannel[])	An array containing the maximum value from each channel given while respecting the matching *condition* channel for each.
MaxChannel(DoubleChannel, BooleanChannel, BooleanChannel)	Returns a channel populated with the maximum value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.
MaxChannel(DoubleChannel[], BooleanChannel[], BooleanChannel[])	An array containing the maximum value from each channel given while respecting the matching *condition* and *reset* channels for each.

MaxChannel(DoubleChannel input)

Returns a channel populated with the maximum value from the channel.

Parameters
DoubleChannel input A double channel.
Returns
DoubleChannel A double channel containing the maximum value from input.
Examples
MaxChannel(vGps)

MaxChannel(DoubleChannel[] inputs)

Returns an array containing the maximum value from each channel given.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
Returns
DoubleChannel[] An array containing the maximum value from each channel given.

MaxChannel(DoubleChannel input, BooleanChannel condition)

Returns a channel populated with the maximum value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel input A double channel.
BooleanChannel condition The channel that determines what values should be considered from input.
Returns
DoubleChannel A double channel containing the maximum value from input.
Examples
MaxChannel(vGps, HighSpeedCornerGate)

MaxChannel(DoubleChannel[] inputs, BooleanChannel[] conditions)

An array containing the maximum value from each channel given while respecting the matching condition channel for each.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
Returns
DoubleChannel[] An array containing the maximum value from each channel given.

MaxChannel(DoubleChannel input, BooleanChannel condition, BooleanChannel reset)

Returns a channel populated with the maximum value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.

Parameters
DoubleChannel input A double channel.
BooleanChannel condition The channel that determines what values should be considered from input.
BooleanChannel reset A boolean channel that determines when the computation should be reset.
Returns
DoubleChannel A double channel containing the maximum value from input.
Examples
MaxChannel(vGps, HighSpeedCornerGate, StartEndHighSpeedCornerGate)

MaxChannel(DoubleChannel[] inputs, BooleanChannel[] conditions, BooleanChannel[] resets)

An array containing the maximum value from each channel given while respecting the matching condition and reset channels for each.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
BooleanChannel[] resets An array of boolean channels that, when a true value is encountered, resets the computation.
Returns
DoubleChannel[] An array containing the maximum value from each channel given.

Median


Median(params DoubleChannel[])	Returns the median value of the given channel.
Median(params DoubleChannel[][])	Returns an array of the median values in all the given channels at each index of the input arrays.
Median(params double[])	Returns the median value of all numbers given.
Median(params double[][])	Returns an array of the median values at each index of the input arrays.

Median(params DoubleChannel[] vector)

Returns the median value of the given channel.

Parameters
params DoubleChannel[] vector The channels to evaluate.
Returns
double A decimal
Examples
Median(TyreTempFL) = 100

Median(params DoubleChannel[][] vectors)

Returns an array of the median values in all the given channels at each index of the input arrays.

Parameters
params DoubleChannel[][] vectors One or more arrays of one or more channels to compare.
Returns
double[] An array of decimals of equal length to the input array.
Examples
Median({TyreTempFL, TyreTempRL}, {TyreTempFR, TyreTempRR}) = {100, 105} // The median temperature of both front wheels over the lap and the median temperature of both rear wheel over the lap

Median(params double[] value)

Returns the median value of all numbers given.

Parameters
params double[] value The values to evaluate.
Returns
double A number representing the median of the input.
Examples
Median(5,6,2) = 5

Median(params double[][] values)

Returns an array of the median values at each index of the input arrays.

Parameters
params double[][] values One or more arrays of numbers to compare.
Returns
double[] An array of numbers
Examples
Median({5, 1},{6, 4},{2, 5}) = {5, 4}

Min


Min(params DoubleChannel[])	Returns the smallest value out the given channel.
Min(params DoubleChannel[][])	Returns an array of the smallest values in all the given channels at each index of the input arrays.
Min(params double[])	Returns the smallest value of all numbers given.
Min(params double[][])	Returns an array of the smallest values at each index of the input arrays.

Min(params DoubleChannel[] vector)

Returns the smallest value out the given channel.

Parameters
params DoubleChannel[] vector The channels to evaluate.
Returns
double A decimal
Examples
Min(FLWheelSpeed, FRWheelSpeed) = 45 // Smallest value of FLWheelSpeed and FRWheelSpeed over the lap

Min(params DoubleChannel[][] vectors)

Returns an array of the smallest values in all the given channels at each index of the input arrays.

Parameters
params DoubleChannel[][] vectors One or more arrays of one or more channels to compare.
Returns
double[] An array of decimals of equal length to the input array.
Examples
Min({FLWheelSpeed, RLWheelSpeed}, {FRWheelSpeed, RRWheelSpeed}) = {45, 49} // The smallest speed either front wheel reached over the lap and the smallest speed either rear wheel reached over the lap

Min(params double[] value)

Returns the smallest value of all numbers given.

Parameters
params double[] value The values to evaluate.
Returns
double The smallest value.
Examples
Min(5,6,2) = 2

Min(params double[][] values)

Returns an array of the smallest values at each index of the input arrays.

Parameters
params double[][] values One or more arrays of numbers to compare.
Returns
double[] An array of decimals equal to the length of the longest input array.
Examples
Min({3,1}, {0,2}) = { 0, 1 }

MinChannel


MinChannel(DoubleChannel)	Returns a channel populated with the minimum value from the channel.
MinChannel(DoubleChannel[])	Returns an array containing the minimum value from each channel given.
MinChannel(DoubleChannel, BooleanChannel)	Returns a channel populated with the minimum value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.
MinChannel(DoubleChannel[], BooleanChannel[])	An array containing the minimum value from each channel given while respecting the matching *condition* channel for each.
MinChannel(DoubleChannel, BooleanChannel, BooleanChannel)	Returns a channel populated with the minimum value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.
MinChannel(DoubleChannel[], BooleanChannel[], BooleanChannel[])	An array containing the minimum value from each channel given while respecting the matching *condition* and *reset* channels for each.

MinChannel(DoubleChannel input)

Returns a channel populated with the minimum value from the channel.

Parameters
DoubleChannel input A double channel.
Returns
DoubleChannel A channel populated with the minimum value from the input channel.
Examples
MinChannel(vGps,)

MinChannel(DoubleChannel[] inputs)

Returns an array containing the minimum value from each channel given.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
Returns
DoubleChannel[] An array of channels containing the minimum value from each channel given.

MinChannel(DoubleChannel input, BooleanChannel condition)

Returns a channel populated with the minimum value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel input A double channel.
BooleanChannel condition The channel that determines what values should be considered from input.
Returns
DoubleChannel A double channel containing the minimum value from input.
Examples
MinChannel(vGps, HighSpeedCornerGate)

MinChannel(DoubleChannel[] inputs, BooleanChannel[] conditions)

An array containing the minimum value from each channel given while respecting the matching condition channel for each.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
Returns
DoubleChannel[] An array of channels containing the minimum value from each channel given.

MinChannel(DoubleChannel input, BooleanChannel condition, BooleanChannel reset)

Returns a channel populated with the minimum value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.

Parameters
DoubleChannel input A double channel.
BooleanChannel condition A boolean channel that determines what values should be considered from input.
BooleanChannel reset A boolean channel that determines when the computation should be reset.
Returns
DoubleChannel A double channel containing the minimum value from input.
Examples
MinChannel(vGps, HighSpeedCornerGate, StartEndHighSpeedCornerGate)

MinChannel(DoubleChannel[] inputs, BooleanChannel[] conditions, BooleanChannel[] resets)

An array containing the minimum value from each channel given while respecting the matching condition and reset channels for each.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
BooleanChannel[] resets An array of boolean channels that, when a true value is encountered, resets the computation.
Returns
DoubleChannel[] An array of channels containing the minimum value from each channel given.

Mod


Mod(DoubleChannel, double)	Returns a channel of the same size as the input representing the remainders of an element-wise division.
Mod(DoubleChannel[], double)	Returns an array of channels of the same size as the input representing the remainders of an element-wise division.
Mod(double, double)	Returns the remainder resulting from dividing two specified values.

Mod(DoubleChannel dividend, double divisor)

Returns a channel of the same size as the input representing the remainders of an element-wise division.

Parameters
DoubleChannel dividend A double channel
double divisor A double.
Returns
DoubleChannel A channel of the same size as the input representing the remainders of an element-wise division.
Examples
Mod(rpm, 3)

Mod(DoubleChannel[] dividends, double divisor)

Returns an array of channels of the same size as the input representing the remainders of an element-wise division.

Parameters
DoubleChannel[] dividends An array of channels containing numerical data
double divisor A double.
Returns
DoubleChannel[] An array of channels of the same size as the input representing the remainders of an element-wise division.

Mod(double dividend, double divisor)

Returns the remainder resulting from dividing two specified values.

Parameters
double dividend A double
double divisor A double
Returns
double An integer, the remainder.
Examples
Mod(3, 2) = 1

Percentile


Percentile(DoubleChannel, double)	Returns the k-th percentile of values in a range. You can use this function to establish a threshold of acceptance.
Percentile(DoubleChannel[], double)	Returns an array of numbers, the k-th percentile of each given channel.

Percentile(DoubleChannel vector, double k)

Returns the k-th percentile of values in a range. You can use this function to establish a threshold of acceptance.

Parameters
DoubleChannel vector A channel
double k A number, the percentile to take.
Returns
double The k-th percentile of a given channel.
Examples
Percentile(Speed, 0.3)

Percentile(DoubleChannel[] vectors, double k)

Returns an array of numbers, the k-th percentile of each given channel.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
double k A number, the percentile to take.
Returns
double[] An array of numbers, the k-th percentile of each given channel.

Pow


Pow(DoubleChannel, double)	Returns a channel where all the items in the original channel are powered to the scalar value defined.
Pow(DoubleChannel[], double)	Returns an array of channels where all the items in the original channels are powered to the scalar value defined.
Pow(double, double)	Returns the *base* powered to the *exponent*.

Pow(DoubleChannel bases, double exponent)

Returns a channel where all the items in the original channel are powered to the scalar value defined.

Parameters
DoubleChannel bases A channel
double exponent A double.
Returns
DoubleChannel A channel of the same size as the input, with each value raised to the specified exponent.
Examples
Pow(Speed,2) returns a vector of the speed squared

Pow(DoubleChannel[] bases, double exponent)

Returns an array of channels where all the items in the original channels are powered to the scalar value defined.

Parameters
DoubleChannel[] bases An array of channels containing numerical data
double exponent A double.
Returns
DoubleChannel[] An array of channels of the same size as the input, with each value raised to the specified exponent.

Pow(double base, double exponent)

Returns the base powered to the exponent.

Parameters
double base The base.
double exponent The exponent.
Returns
double A double.
Examples
Pow(2,3) = 8

ReSample


ReSample(DoubleChannel, double)	Resamples a channel to the defined frequency.
ReSample(DoubleChannel[], double)	Resamples a number of channels to the defined frequency.

ReSample(DoubleChannel vector, double value)

Resamples a channel to the defined frequency.

Parameters
DoubleChannel vector The channel to resample.
double value The frequency to resample to (Hz).
Returns
DoubleChannel A resampled channel
Examples
ReSample(vGPS, 200)

ReSample(DoubleChannel[] vectors, double value)

Resamples a number of channels to the defined frequency.

Parameters
DoubleChannel[] vectors An array of channels to resample.
double value The frequency to resample to (Hz).
Returns
DoubleChannel[] An array of resampled channels.
Examples
ReSample({ vWheelFL, vWheelFR, vWheelRL, vWheelRR }, 200)

RisingEdge


RisingEdge(DoubleChannel)	Returns a channel consisting of integers 1 and 0. 1 means that the previous sample in the channel was smaller than the current one.
RisingEdge(DoubleChannel[])	Returns an array of channels consisting of integers 1 and 0. 1 means that the previous sample in the channel was smaller than the current one.

RisingEdge(DoubleChannel vector)

Returns a channel consisting of integers 1 and 0. 1 means that the previous sample in the channel was smaller than the current one.

Parameters
DoubleChannel vector A channel.
Returns
DoubleChannel A channel of the same size as the input with each value replaced by either an integer 0 or 1.
Examples
RisingEdge(TPS)

RisingEdge(DoubleChannel[] vectors)

Returns an array of channels consisting of integers 1 and 0. 1 means that the previous sample in the channel was smaller than the current one.

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
DoubleChannel[] An array of channels of the same size as the inputs with each value replaced by either an integer 0 or 1.

Round


Round(DoubleChannel, double)	Returns a channel with each value rounded to the specified number of fractional digits.
Round(DoubleChannel[], double)	Returns an array of channels with each value rounded to the specified number of fractional digits.
Round(double, double)	Rounds a value to the specified number of fractional digits.
Round(DoubleChannel)	Returns a channel with each value rounded to the nearest integer.
Round(DoubleChannel[])	Returns an array of channels with each value rounded to the nearest integer.
Round(double)	Rounds a value to the nearest integer.

Round(DoubleChannel vector, double value)

Returns a channel with each value rounded to the specified number of fractional digits.

Parameters
DoubleChannel vector The channel to round.
double value The number of fractional digits to round to.
Returns
DoubleChannel A channel with each value rounded to the specified number of fractional digits.
Examples
Round(GForce_Lat, 1)

Round(DoubleChannel[] vectors, double value)

Returns an array of channels with each value rounded to the specified number of fractional digits.

Parameters
DoubleChannel[] vectors An array of channels to round.
double value The number of fractional digits to round to.
Returns
DoubleChannel[] An array of channels with each value rounded to the specified number of fractional digits.

Round(double value, double value1)

Rounds a value to the specified number of fractional digits.

Parameters
double value The value to round.
double value1 The number of fractional digits to round to.
Returns
double The rounded value.
Examples
Round(3 / 2, 1) = 1.5

Round(DoubleChannel vector)

Returns a channel with each value rounded to the nearest integer.

Parameters
DoubleChannel vector The channel to round.
Returns
DoubleChannel A channel with each value rounded to the nearest integer.
Examples
Round(GForce_Lat)

Round(DoubleChannel[] vectors)

Returns an array of channels with each value rounded to the nearest integer.

Parameters
DoubleChannel[] vectors An array of channels to round.
Returns
DoubleChannel[] An array of channels with each value rounded to the nearest integer.

Round(double value)

Rounds a value to the nearest integer.

Parameters
double value A double value.
Returns
double An integer.
Examples
Round(3 / 2) = 2

Sign


Sign(DoubleChannel)	A channel containing integers representing the arithmetic sign of each individual value of the input channel (1, -1, or 0).
Sign(DoubleChannel[])	An array of channels containing integers representing the arithmetic sign of each individual value of the input channels (1, -1, or 0).
Sign(double)	Returns the arithmetic sign (1, -1 or 0) of a supplied number.

Sign(DoubleChannel vector)

A channel containing integers representing the arithmetic sign of each individual value of the input channel (1, -1, or 0).

Parameters
DoubleChannel vector A channel.
Returns
DoubleChannel A channel containing values representing the arithmetic sign of each individual value of the input channel.
Examples
Sign(GForceLat)

Sign(DoubleChannel[] vectors)

An array of channels containing integers representing the arithmetic sign of each individual value of the input channels (1, -1, or 0).

Parameters
DoubleChannel[] vectors An array of channels containing numerical data
Returns
DoubleChannel[] An array of channels containing values representing the arithmetic sign of each individual value of the input channels.
Examples
Sign({ GForceLat, GForceLon })

Sign(double value)

Returns the arithmetic sign (1, -1 or 0) of a supplied number.

Parameters
double value The numerical value to determine the sign of.
Returns
double A value representing an arithmetic sign (1, -1 or 0).
Examples
Sign(-3) = -1

Sin


Sin(DoubleChannel)	Returns a channel containing the sine of all the items in the original channel.
Sin(DoubleChannel[])	Returns an array of channels containing the sine of all the items in the original channels.
Sin(double)	Returns the sine of the value.

Sin(DoubleChannel vector)

Returns a channel containing the sine of all the items in the original channel.

Parameters
DoubleChannel vector The channel to take the sine of.
Returns
DoubleChannel A channel of the same size as the input containing the sine of each individual value.
Examples
Sin(Steering)

Sin(DoubleChannel[] vectors)

Returns an array of channels containing the sine of all the items in the original channels.

Parameters
DoubleChannel[] vectors An array of channels to take the sine of.
Returns
DoubleChannel[] An array of channels of the same size as the input containing the sine of each individual value.

Sin(double value)

Returns the sine of the value.

Parameters
double value The value to take the sine of.
Returns
double The sine.
Examples
Sin(0)=0

Smooth


Smooth(DoubleChannel)	Smooths the input channel by averaging over a time interval of 1 second.
Smooth(DoubleChannel[])	Smooths each input channel individually by averaging over a time interval of 1 second.
Smooth(DoubleChannel, double)	Smooths the input channel by averaging over a time interval defined by *windowSize*.
Smooth(DoubleChannel[], double)	Smooths each input channel individually by averaging over a time interval defined by *windowSize*.

Smooth(DoubleChannel vector)

Smooths the input channel by averaging over a time interval of 1 second.

Parameters
DoubleChannel vector The channel to smooth.
Returns
DoubleChannel The smoothed channel using a window size of 1 second.
Examples
Smooth(Steering) // Moving average of the Steering channel using a window size of 1 sec.

Smooth(DoubleChannel[] vectors)

Smooths each input channel individually by averaging over a time interval of 1 second.

Parameters
DoubleChannel[] vectors An array of channels to smooth.
Returns
DoubleChannel[] An array of smoothed channels using a window size of 1 second.

Smooth(DoubleChannel vector, double windowSize)

Smooths the input channel by averaging over a time interval defined by windowSize.

Parameters
DoubleChannel vector The channel to smooth.
double windowSize The window size to use (seconds).
Returns
DoubleChannel A smoothed channel.
Examples
Smooth(Steering, 0.1) // Moving average of the Steering channel using a window size of 0.1 sec.

Smooth(DoubleChannel[] vectors, double windowSize)

Smooths each input channel individually by averaging over a time interval defined by windowSize.

Parameters
DoubleChannel[] vectors An array of channels to smooth.
double windowSize The window size to use (seconds).
Returns
DoubleChannel[] An array of smoothed channels.

Sqrt


Sqrt(DoubleChannel)	Returns a channel containing the square root of each sample in the original channel.
Sqrt(DoubleChannel[])	Returns an array of channels containing the square root of each sample in the original channels.
Sqrt(double)	Returns the square root of a specified number.

Sqrt(DoubleChannel vector)

Returns a channel containing the square root of each sample in the original channel.

Parameters
DoubleChannel vector The channel to take the square root of.
Returns
DoubleChannel A channel of the same length as the input.
Examples
Sqrt(Speed)

Sqrt(DoubleChannel[] vectors)

Returns an array of channels containing the square root of each sample in the original channels.

Parameters
DoubleChannel[] vectors An array of channels to take the square root of.
Returns
DoubleChannel[] An array of channels of the same size as the input.

Sqrt(double value)

Returns the square root of a specified number.

Parameters
double value The number whose square root is to be found.
Returns
double The positive square root.
Examples
Sqrt(4)=2

Start


Start(DoubleChannel)	Returns the first valid value in the given double channel.
Start(DoubleChannel[])	Returns the first valid values of each of the given double channels.
Start(BooleanChannel)	Returns the first valid value in the given boolean channel.
Start(BooleanChannel[])	Returns the first valid values of each of the given boolean channels.

Start(DoubleChannel vector)

Returns the first valid value in the given double channel.

Parameters
DoubleChannel vector The channel to take the first value of.
Returns
double A double, the first valid value in the channel.
Examples
Start(FuelLevel)

Start(DoubleChannel[] vectors)

Returns the first valid values of each of the given double channels.

Parameters
DoubleChannel[] vectors An array of channels to take the first values of.
Returns
double[] An array of doubles, the first valid values of each given channel.
Examples
Start({ FuelLevel, vGPS })

Start(BooleanChannel vector)

Returns the first valid value in the given boolean channel.

Parameters
BooleanChannel vector The channel to take the first value of.
Returns
bool A boolean, the first valid value in the channel.

Start(BooleanChannel[] vectors)

Returns the first valid values of each of the given boolean channels.

Parameters
BooleanChannel[] vectors An array of channels to take the first values of.
Returns
bool[] An array of booleans, the first valid values of each given channel.

StartChannel


StartChannel(DoubleChannel)	Returns a channel populated with the first value from the channel.
StartChannel(DoubleChannel[])	Returns an array of channels, each populated with the first value from each of the input channels.
StartChannel(DoubleChannel, BooleanChannel)	Returns a channel populated with the first value from the channel, the *condition* parameter allows a boolean channel to be used to control when the calculation is performed.
StartChannel(DoubleChannel[], BooleanChannel[])	Returns an array of channels, each populated with the value from *input* when the first `true` value in *condition* is encountered.
StartChannel(DoubleChannel, BooleanChannel, BooleanChannel)	Returns a channel populated with the first value from the channel, the *condition* parameter allows a boolean channel to be used to control when the calculation is performed, and the *reset* parameter can be used to reset the calculation.
StartChannel(DoubleChannel[], BooleanChannel[], BooleanChannel[])	Returns an array of channels, each populated with the value from *input* when the first `true` value in *condition* is encountered. Resets when a `true` value is encountered in `reset`.

StartChannel(DoubleChannel input)

Returns a channel populated with the first value from the channel.

Parameters
DoubleChannel input A double channel.
Returns
DoubleChannel A channel populated with the first value from the input channel.
Examples
StartChannel(vGps)

StartChannel(DoubleChannel[] inputs)

Returns an array of channels, each populated with the first value from each of the input channels.

Parameters
DoubleChannel[] inputs An array of double channels.
Returns
DoubleChannel[] An array of channels, each populated with the first value from each of the input channels.

StartChannel(DoubleChannel input, BooleanChannel condition)

Returns a channel populated with the first value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel input The double channel to copy the value from.
BooleanChannel condition The channel that determines when the value should be taken from input.
Returns
DoubleChannel A double channel containing the value from input when the first true value in condition is encountered.
Examples
StartChannel(vGps, HighSpeedCornerGate)

StartChannel(DoubleChannel[] inputs, BooleanChannel[] conditions)

Returns an array of channels, each populated with the value from input when the first true value in condition is encountered.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
Returns
DoubleChannel[] An array of channels, each populated with the value from input when the first true value in condition is encountered.

StartChannel(DoubleChannel input, BooleanChannel condition, BooleanChannel reset)

Returns a channel populated with the first value from the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.

Parameters
DoubleChannel input The double channel to copy the value from.
BooleanChannel condition The channel that determines when the value should be taken from input.
BooleanChannel reset A boolean channel that when a true value is encountered, resets the computation.
Returns
DoubleChannel A double channel containing the value from input when the first true value in condition is encountered. Resets when a true value is encountered in reset.
Examples
StartChannel(vGps, HighSpeedCornerGate, StartEndHighSpeedCornerGate)

StartChannel(DoubleChannel[] inputs, BooleanChannel[] conditions, BooleanChannel[] resets)

Returns an array of channels, each populated with the value from input when the first true value in condition is encountered. Resets when a true value is encountered in reset.

Parameters
DoubleChannel[] inputs An array of channels containing numerical data
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
BooleanChannel[] resets An array of boolean channels that, when a true value is encountered, resets the computation.
Returns
DoubleChannel[] An array of channels, each populated with the value from input when the first true value in condition is encountered. Resets when a true value is encountered in reset.

StdDev


StdDev(params DoubleChannel[])	Returns the standard deviation value from the entire channel. If multiple channels are given, then the standard deviation of all channels combined is returned.
StdDev(params DoubleChannel[][])	Returns an array of the standard deviation of the values in all the given channels at each index of the input arrays.
StdDev(params double[])	Returns the standard deviation value between all arguments.
StdDev(params double[][])	Returns the standard deviation value between all arguments.

StdDev(params DoubleChannel[] vector)

Returns the standard deviation value from the entire channel. If multiple channels are given, then the standard deviation of all channels combined is returned.

Parameters
params DoubleChannel[] vector The channels to take the standard deviation of.
Returns
double The standard deviation of the given channels.
Examples
StdDev(TyreTempFL) = 5.6

StdDev(params DoubleChannel[][] vectors)

Returns an array of the standard deviation of the values in all the given channels at each index of the input arrays.

Parameters
params DoubleChannel[][] vectors One or more arrays of one or more channels to take the standard deviation of.
Returns
double[] An array of numbers containing the standard deviation of each respective channel given.
Examples
StdDev({TyreTempFL) = 5.6

StdDev(params double[] value)

Returns the standard deviation value between all arguments.

Parameters
params double[] value The values to take the standard deviation of.
Returns
double The standard deviation.
Examples
StdDev(2,4,4,4,5,5,7,9) = 2

StdDev(params double[][] values)

Returns the standard deviation value between all arguments.

Parameters
params double[][] values One or more arrays of one or more values to take the standard deviation of.
Returns
double[] An array of decimals equal to the length of the longest input array.

StdDevChannel


StdDevChannel(DoubleChannel)	Returns a channel populated with the standard deviation of the channel.
StdDevChannel(DoubleChannel[])	Returns an array of channels, each populated with the standard deviation from each of the input channels.
StdDevChannel(DoubleChannel, BooleanChannel)	Returns a channel populated with the standard deviation of the channel, the *condition* parameter allows a boolean channel to be used to control when the calculation is performed.
StdDevChannel(DoubleChannel[], BooleanChannel[])	Returns an array of channels populated with the standard deviation of each of the input channels, the *condition* parameter allows a boolean channel to be used to control when the calculation is performed.
StdDevChannel(DoubleChannel, BooleanChannel, BooleanChannel)	Returns a channel populated with the standard deviation of the channel, the *condition* parameter allows a boolean channel to be used to control when the calculation is performed, and the *reset* parameter can be used to reset the calculation.
StdDevChannel(DoubleChannel[], BooleanChannel[], BooleanChannel[])	Returns an array of channels populated with the standard deviation of each of the input channels, the *condition* parameter allows a boolean channel to be used to control when the calculation is performed, and the *reset* parameter can be used to reset the calculation.

StdDevChannel(DoubleChannel input)

Returns a channel populated with the standard deviation of the channel.

Parameters
DoubleChannel input The channel to take the standard deviation of.
Returns
DoubleChannel A channel populated with the standard deviation of the input channel.
Examples
StdDevChannel(vGps)

StdDevChannel(DoubleChannel[] inputs)

Returns an array of channels, each populated with the standard deviation from each of the input channels.

Parameters
DoubleChannel[] inputs The array of channels to take the standard deviation of.
Returns
DoubleChannel[] An array of channels containing the standard deviation of each respective channel given.

StdDevChannel(DoubleChannel input, BooleanChannel condition)

Returns a channel populated with the standard deviation of the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel input The channel to take the standard deviation of.
BooleanChannel condition The channel that determines when the value should be taken from input.
Returns
DoubleChannel A channel populated with the standard deviation of the input channel.
Examples
StdDevChannel(vGps, HighSpeedCornerGate)

StdDevChannel(DoubleChannel[] inputs, BooleanChannel[] conditions)

Returns an array of channels populated with the standard deviation of each of the input channels, the condition parameter allows a boolean channel to be used to control when the calculation is performed.

Parameters
DoubleChannel[] inputs The array of channels to take the standard deviation of.
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
Returns
DoubleChannel[] An array of channels containing the standard deviation of each respective channel given.

StdDevChannel(DoubleChannel input, BooleanChannel condition, BooleanChannel reset)

Returns a channel populated with the standard deviation of the channel, the condition parameter allows a boolean channel to be used to control when the calculation is performed, and the reset parameter can be used to reset the calculation.

Parameters
DoubleChannel input The channel to take the standard deviation of.
BooleanChannel condition The channel that determines when the value should be taken from input.
BooleanChannel reset A boolean channel that when a true value is encountered, resets the computation.
Returns
DoubleChannel A channel populated with the standard deviation of the input channel.
Examples
StdDevChannel(vGps, HighSpeedCornerGate, StartEndHighSpeedCornerGate)

StdDevChannel(DoubleChannel[] inputs, BooleanChannel[] conditions, BooleanChannel[] resets)

Parameters
DoubleChannel[] inputs The array of channels to take the standard deviation of.
BooleanChannel[] conditions An array of channels, of the same length as input that determines what values should be considered from input.
BooleanChannel[] resets An array of boolean channels that, when a true value is encountered, resets the computation.
Returns
DoubleChannel[] An array of channels containing the standard deviation of each respective channel given.

Sum


Sum(params DoubleChannel[])	Returns the sum of the values of a given channel.
Sum(params DoubleChannel[][])	Returns an array of the sum of the values in all the given channels at each index of the input arrays.
Sum(params double[])	Returns the sum of all values given.
Sum(params double[][])	Returns an array of the sum of the values at each index of the input arrays.

Sum(params DoubleChannel[] vector)

Returns the sum of the values of a given channel.

Parameters
params DoubleChannel[] vector The channels to sum.
Returns
double The sum of the channel given.
Examples
Sum(Steering) = 5800

Sum(params DoubleChannel[][] vectors)

Returns an array of the sum of the values in all the given channels at each index of the input arrays.

Parameters
params DoubleChannel[][] vectors One or more arrays of one or more channels to sum.
Returns
double[] An array of numbers containing the sum of each respective channel given.
Examples
Sum({pBrakeF, pBrakeR}) = {8200, 6900} // An array of the total front brake pressure and total rear brake pressure over the lap.

Sum(params double[] value)

Returns the sum of all values given.

Parameters
params double[] value The values to sum.
Returns
double The sum.
Examples
Sum(2,4,8) = 14

Sum(params double[][] values)

Returns an array of the sum of the values at each index of the input arrays.

Parameters
params double[][] values One or more arrays of numbers to sum.
Returns
double[] An array of decimals equal to the length of the longest input array.
Examples
Sum({3,1}, {0,2}, {5, 9}) = { 8, 12 } // { 3 + 0 + 5, 1 + 2 + 9 }

SumAll


SumAll(DoubleChannel)	Returns the sum of all samples in the channel given.
SumAll(DoubleChannel[])	Returns a single value that is the sum of all samples in all channels given.
SumAll(double)	Returns the sum of all values given.
SumAll(double[])	Returns the sum of all values given.

SumAll(DoubleChannel vector)

Returns the sum of all samples in the channel given.

Parameters
DoubleChannel vector The channel to sum.
Returns
double The sum
Examples
SumAll(vCornerMin)

SumAll(DoubleChannel[] vectors)

Returns a single value that is the sum of all samples in all channels given.

Parameters
DoubleChannel[] vectors An array of channels to sum.
Returns
double The cumulative sum of each channel given.

SumAll(double value)

Returns the sum of all values given.

Parameters
double value The number to sum.
Returns
double The number

SumAll(double[] values)

Returns the sum of all values given.

Parameters
double[] values An array of numbers to sum
Returns
double The sum

Tan


Tan(DoubleChannel)	Returns a channel containing the tangents of all values in the original channel.
Tan(DoubleChannel[])	Returns an array of channels containing the tangents of all values in each of the original channels.
Tan(double)	Returns the tangent of the specified number.

Tan(DoubleChannel vector)

Returns a channel containing the tangents of all values in the original channel.

Parameters
DoubleChannel vector A channel.
Returns
DoubleChannel A channel containing the tangent of each value.
Examples
Tan(Steering)

Tan(DoubleChannel[] vectors)

Returns an array of channels containing the tangents of all values in each of the original channels.

Parameters
DoubleChannel[] vectors An array of channels.
Returns
DoubleChannel[] An array of channels containing the tangents of each value from the channels given.

Tan(double value)

Returns the tangent of the specified number.

Parameters
double value The value to take the tangent of.
Returns
double The tangent.
Examples
Tan(0) = 0

TimeShift


TimeShift(DoubleChannel, double)	Offsets a double channel by *offset* seconds. A positive *offset* means the values are getting shifted to the right, and a negative *offset* means they are getting shifted to the left.
TimeShift(DoubleChannel[], double)	Returns a copy of each given channel offset by *offset* seconds. A positive *offset* means the values are getting shifted to the right, and a negative *offset* means they are getting shifted to the left.
TimeShift(BooleanChannel, double)	Offsets a boolean channel by *offset* seconds. A positive *offset* means the values are getting shifted to the right, and a negative *offset* means they are getting shifted to the left.
TimeShift(BooleanChannel[], double)	Returns a copy of each given channel offset by *offset* seconds. A positive *offset* means the values are getting shifted to the right, and a negative *offset* means they are getting shifted to the left.

TimeShift(DoubleChannel vector, double offset)

Offsets a double channel by offset seconds. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.

Parameters
DoubleChannel vector The double channel to shift.
double offset A decimal representing the number of seconds to shift by. A positive value shifts right, a negative value shifts left.
Returns
DoubleChannel The shifted double channel.
Examples
TimeShift(Throttle Pos, 1.5) // shifts the channel 'Throttle Position' by 1.5 seconds to the right

TimeShift(DoubleChannel[] vectors, double offset)

Returns a copy of each given channel offset by offset seconds. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.

Parameters
DoubleChannel[] vectors An array of double channels to shift.
double offset A decimal representing the number of seconds to shift by. A positive value shifts right, a negative value shifts left.
Returns
DoubleChannel[] An array of shifted double channels.

TimeShift(BooleanChannel vector, double offset)

Offsets a boolean channel by offset seconds. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.

Parameters
BooleanChannel vector The boolean channel to shift.
double offset A decimal representing the number of seconds to shift by. A positive value shifts right, a negative value shifts left.
Returns
BooleanChannel The shifted boolean channel
Examples
TimeShift(Throttle Pos > 90, 1.5) // shifts the expression 'Throttle Position > 90' by 1.5 seconds to the right

TimeShift(BooleanChannel[] vectors, double offset)

Parameters
BooleanChannel[] vectors An array of boolean channels to shift.
double offset A decimal representing the number of seconds to shift by. A positive value shifts right, a negative value shifts left.
Returns
BooleanChannel[] An array of shifted boolean channels.

TimeShiftSamples


TimeShiftSamples(DoubleChannel, double)	Offsets a channel of doubles by *offset* samples. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.
TimeShiftSamples(DoubleChannel[], double)	Returns a copy of each given channel offset by *offset* samples. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.
TimeShiftSamples(BooleanChannel, double)	Offsets a channel of booleans by *offset* samples. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.
TimeShiftSamples(BooleanChannel[], double)	Returns a copy of each given channel offset by *offset* samples. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.

TimeShiftSamples(DoubleChannel vector, double offset)

Offsets a channel of doubles by offset samples. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.

Parameters
DoubleChannel vector The double channel to shift.
double offset The number of samples to shift by. A positive value shifts right, a negative value shifts left.
Returns
DoubleChannel The shifted double channel.
Examples
TimeShift(Throttle Pos, 2) -> shifts the channel 'Throttle Position' by 2 samples to the right

TimeShiftSamples(DoubleChannel[] vectors, double offset)

Returns a copy of each given channel offset by offset samples. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.

Parameters
DoubleChannel[] vectors An array of double channels to shift.
double offset The number of samples to shift by. A positive value shifts right, a negative value shifts left.
Returns
DoubleChannel[] An array of shifted double channels.

TimeShiftSamples(BooleanChannel vector, double offset)

Offsets a channel of booleans by offset samples. A positive offset means the values are getting shifted to the right, and a negative offset means they are getting shifted to the left.

Parameters
BooleanChannel vector The boolean channel to shift.
double offset The number of samples to shift by. A positive value shifts right, a negative value shifts left.
Returns
BooleanChannel The shifted boolean channel.
Examples
TimeShift(Throttle Pos > 90, 2) -> shifts the expression 'Throttle Position > 90' by 2 samples to the right

TimeShiftSamples(BooleanChannel[] vectors, double offset)

Parameters
BooleanChannel[] vectors An array of boolean channels to shift.
double offset The number of samples to shift by. A positive value shifts right, a negative value shifts left.
Returns
BooleanChannel[] An array of shifted boolean channels.

UpSample


UpSample(DoubleChannel, double)	Upsamples a channel to the defined frequency. Note that this function will return an error if the up sample frequency is less than the channel frequency or if the up sample frequency is not an integer multiple of the channel frequency. It is therefore recommended to use the ReSample function which will automatically handle these cases.
UpSample(DoubleChannel[], double)	Upsamples a number of channels to the defined frequency.

UpSample(DoubleChannel vector, double value)

Upsamples a channel to the defined frequency. Note that this function will return an error if the up sample frequency is less than the channel frequency or if the up sample frequency is not an integer multiple of the channel frequency. It is therefore recommended to use the ReSample function which will automatically handle these cases.

Parameters
DoubleChannel vector The channel to upsample.
double value The frequency to upsample to (Hz).
Returns
DoubleChannel An upsampled channel
Examples
UpSample(vGPS, 200)

UpSample(DoubleChannel[] vectors, double value)

Upsamples a number of channels to the defined frequency.

Parameters
DoubleChannel[] vectors An array of channels to upsample.
double value The frequency to upsample to (Hz).
Returns
DoubleChannel[] An array of upsampled channels.
Examples
UpSample({ vWheelFL, vWheelFR, vWheelRL, vWheelRR }, 200)

ValidFor


ValidFor(BooleanChannel, double)	Returns a channel of boolean values. The result is true when the input data is valid for the time specified in the duration argument.
ValidFor(BooleanChannel[], double)	Returns an array of boolean channels. The result is true when the input data is valid for the time specified in the duration argument.

ValidFor(BooleanChannel vector, double duration)

Returns a channel of boolean values. The result is true when the input data is valid for the time specified in the duration argument.

Parameters
BooleanChannel vector The boolean channel to test the validity of.
double duration The duration to check.
Returns
BooleanChannel A channel of boolean values.
Examples
ValidFor(vGPS > 100, 5)

ValidFor(BooleanChannel[] vectors, double duration)

Returns an array of boolean channels. The result is true when the input data is valid for the time specified in the duration argument.

Parameters
BooleanChannel[] vectors An array of boolean channels to test the validity of.
double duration The duration to check.
Returns
BooleanChannel[] An array of boolean channels of the same size as the input.

KPI Expressions

Syntax​

Operators​

Unit Management​

Function Reference​

Absh4 { font-size: 26px; }​

Abs(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

Abs(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

Abs(double value)h5 { font-size: 20px; font-style: italic; }​

ACosh4 { font-size: 26px; }​

ACos(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

ACos(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

ACos(double value)h5 { font-size: 20px; font-style: italic; }​

ASinh4 { font-size: 26px; }​

ASin(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

ASin(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

ASin(double value)h5 { font-size: 20px; font-style: italic; }​

ATanh4 { font-size: 26px; }​

ATan(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

ATan(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

ATan(double value)h5 { font-size: 20px; font-style: italic; }​

AverageAllh4 { font-size: 26px; }​

AverageAll(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

AverageAll(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

AverageAll(double value)h5 { font-size: 20px; font-style: italic; }​

AverageAll(double[] values)h5 { font-size: 20px; font-style: italic; }​

Avgh4 { font-size: 26px; }​

Avg(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

Avg(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

Avg(DoubleChannel vector, DoubleChannel vector1)h5 { font-size: 20px; font-style: italic; }​

Avg(DoubleChannel[] vectors, DoubleChannel[] vectors1)h5 { font-size: 20px; font-style: italic; }​

Avg(double value, double value1)h5 { font-size: 20px; font-style: italic; }​

Avg(double[] values, double[] values1)h5 { font-size: 20px; font-style: italic; }​

AvgChannelh4 { font-size: 26px; }​

AvgChannel(DoubleChannel input)h5 { font-size: 20px; font-style: italic; }​

AvgChannel(DoubleChannel[] inputs)h5 { font-size: 20px; font-style: italic; }​

AvgChannel(DoubleChannel input, BooleanChannel condition)h5 { font-size: 20px; font-style: italic; }​

AvgChannel(DoubleChannel[] inputs, BooleanChannel[] conditions)h5 { font-size: 20px; font-style: italic; }​

AvgChannel(DoubleChannel input, BooleanChannel condition, BooleanChannel reset)h5 { font-size: 20px; font-style: italic; }​

AvgChannel(DoubleChannel[] inputs, BooleanChannel[] conditions, BooleanChannel[] resets)h5 { font-size: 20px; font-style: italic; }​

BitDecodeh4 { font-size: 26px; }​

BitDecode(DoubleChannel vector, double shift)h5 { font-size: 20px; font-style: italic; }​

BitDecode(DoubleChannel[] vectors, double shift)h5 { font-size: 20px; font-style: italic; }​

BitDecode(double value, double shift)h5 { font-size: 20px; font-style: italic; }​

BitDecode(DoubleChannel vector, double shift, double length)h5 { font-size: 20px; font-style: italic; }​

BitDecode(DoubleChannel[] vectors, double shift, double length)h5 { font-size: 20px; font-style: italic; }​

BitDecode(double value, double value1, double length)h5 { font-size: 20px; font-style: italic; }​

Ceilingh4 { font-size: 26px; }​

Ceiling(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

Ceiling(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

Ceiling(double value)h5 { font-size: 20px; font-style: italic; }​

Changeh4 { font-size: 26px; }​

Change(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

Change(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

Chooseh4 { font-size: 26px; }​

Choose(bool condition, object trueResult, object falseResult)h5 { font-size: 20px; font-style: italic; }​

Cosh4 { font-size: 26px; }​

Cos(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

Cos(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

Cos(double value)h5 { font-size: 20px; font-style: italic; }​

Counth4 { font-size: 26px; }​

Count(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

Count(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

Count(BooleanChannel vector)h5 { font-size: 20px; font-style: italic; }​

Count(BooleanChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

CountAllh4 { font-size: 26px; }​

CountAll(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

CountAll(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

CountAll(double value)h5 { font-size: 20px; font-style: italic; }​

CountAll(double[] values)h5 { font-size: 20px; font-style: italic; }​

Derivativeh4 { font-size: 26px; }​

Derivative(DoubleChannel vector)h5 { font-size: 20px; font-style: italic; }​

Derivative(DoubleChannel[] vectors)h5 { font-size: 20px; font-style: italic; }​

EdgeDelayFallh4 { font-size: 26px; }​

EdgeDelayFall(BooleanChannel vector, double value)h5 { font-size: 20px; font-style: italic; }​

EdgeDelayFall(BooleanChannel[] vectors, double value)h5 { font-size: 20px; font-style: italic; }​

EdgeDelayRiseh4 { font-size: 26px; }​

EdgeDelayRise(BooleanChannel vector, double value)h5 { font-size: 20px; font-style: italic; }​

EdgeDelayRise(BooleanChannel[] vectors, double value)h5 { font-size: 20px; font-style: italic; }​

Exph4 { font-size: 26px; }​

Syntax

Operators

Unit Management

Function Reference

Abs

Abs(DoubleChannel vector)

Abs(DoubleChannel[] vectors)

Abs(double value)

ACos

ACos(DoubleChannel vector)

ACos(DoubleChannel[] vectors)

ACos(double value)

ASin

ASin(DoubleChannel vector)

ASin(DoubleChannel[] vectors)

ASin(double value)

ATan

ATan(DoubleChannel vector)

ATan(DoubleChannel[] vectors)

ATan(double value)

AverageAll

AverageAll(DoubleChannel vector)

AverageAll(DoubleChannel[] vectors)

AverageAll(double value)

AverageAll(double[] values)

Avg

Avg(DoubleChannel vector)

Avg(DoubleChannel[] vectors)

Avg(DoubleChannel vector, DoubleChannel vector1)

Avg(DoubleChannel[] vectors, DoubleChannel[] vectors1)

Avg(double value, double value1)

Avg(double[] values, double[] values1)

AvgChannel

AvgChannel(DoubleChannel input)

AvgChannel(DoubleChannel[] inputs)

AvgChannel(DoubleChannel input, BooleanChannel condition)

AvgChannel(DoubleChannel[] inputs, BooleanChannel[] conditions)

AvgChannel(DoubleChannel input, BooleanChannel condition, BooleanChannel reset)

AvgChannel(DoubleChannel[] inputs, BooleanChannel[] conditions, BooleanChannel[] resets)

BitDecode

BitDecode(DoubleChannel vector, double shift)

BitDecode(DoubleChannel[] vectors, double shift)

BitDecode(double value, double shift)

BitDecode(DoubleChannel vector, double shift, double length)

BitDecode(DoubleChannel[] vectors, double shift, double length)

BitDecode(double value, double value1, double length)

Ceiling

Ceiling(DoubleChannel vector)

Ceiling(DoubleChannel[] vectors)

Ceiling(double value)

Change

Change(DoubleChannel vector)

Change(DoubleChannel[] vectors)

Choose

Choose(bool condition, object trueResult, object falseResult)

Cos

Cos(DoubleChannel vector)

Cos(DoubleChannel[] vectors)

Cos(double value)

Count

Count(DoubleChannel vector)

Count(DoubleChannel[] vectors)

Count(BooleanChannel vector)

Count(BooleanChannel[] vectors)

CountAll

CountAll(DoubleChannel vector)

CountAll(DoubleChannel[] vectors)

CountAll(double value)

CountAll(double[] values)

Derivative

Derivative(DoubleChannel vector)

Derivative(DoubleChannel[] vectors)

EdgeDelayFall

EdgeDelayFall(BooleanChannel vector, double value)

EdgeDelayFall(BooleanChannel[] vectors, double value)

EdgeDelayRise

EdgeDelayRise(BooleanChannel vector, double value)

EdgeDelayRise(BooleanChannel[] vectors, double value)

Exp

Exp(DoubleChannel vector)