Stream evaluators are different then stream sources or stream decorators. Both stream sources and stream decorators return streams of tuples. Stream evaluators are more like a traditional function that evaluates its parameters and returns an result. That result can be a single value, array, map or other structure.

Stream evaluators can be nested so that the output of an evaluator becomes the input for another evaluator.

Stream evaluators can be called in different contexts. For example a stream evaluator can be called on its own or it can be called within the context of a streaming expression.

abs

The `abs` function will return the absolute value of the provided single parameter. The `abs` function will fail to execute if the value is non-numeric. If a null value is found then null will be returned as the result.

abs Parameters

• `Field Name | Raw Number | Number Evaluator`

abs Syntax

The expressions below show the various ways in which you can use the `abs` evaluator. Only one parameter is accepted. Returns a numeric value.

``````abs(1) // 1, not really a good use case for it
abs(-1) // 1, not really a good use case for it
abs(add(fieldA,fieldB)) // absolute value of fieldA + fieldB
abs(fieldA) // absolute value of fieldA``````

acos

The `acos` function returns the trigonometric arccosine of a number.

acos Parameters

• `Field Name | Raw Number | Number Evaluator`: The value to return the arccosine of.

acos Syntax

``````acos(100.4)  // returns the arccosine of 100.4
acos(fieldA) // returns the arccosine for fieldA.
if(gt(fieldA,fieldB),sin(fieldA),sin(fieldB)) // if fieldA > fieldB then return the arccosine of fieldA, else return the arccosine of fieldB``````

The `add` function will take 2 or more numeric values and add them together. The `add` function will fail to execute if any of the values are non-numeric. If a null value is found then null will be returned as the result.

• `Field Name | Raw Number | Number Evaluator`

• `Field Name | Raw Number | Number Evaluator`

• `…​…​`

• `Field Name | Raw Number | Number Evaluator`

The expressions below show the various ways in which you can use the `add` evaluator. The number and order of these parameters do not matter and is not limited except that at least two parameters are required. Returns a numeric value.

``````add(1,2,3,4) // 1 + 2 + 3 + 4 == 10
add(1,fieldA) // 1 + value of fieldA
add(fieldA,1.4) // value of fieldA + 1.4
add(fieldA,fieldB,fieldC) // value of fieldA + value of fieldB + value of fieldC
add(fieldA,div(fieldA,fieldB)) // value of fieldA + (value of fieldA / value of fieldB)
add(fieldA,if(gt(fieldA,fieldB),fieldA,fieldB)) // if fieldA > fieldB then fieldA + fieldA, else fieldA + fieldB``````

analyze

The `analyze` function analyzes text using a Lucene/Solr analyzer and returns a list of tokens emitted by the analyzer. The `analyze` function can be called on its own or within the `select` and `cartesianProduct` streaming expressions.

analyze Parameters

• `Field Name` | `Raw Text`: Either the field in a tuple or the raw text to be analyzed.

• `Analyzer Field Name`: The field name of the analyzer to use to analyze the text.

analyze Syntax

The expressions below show the various ways in which you can use the `analyze` evaluator.

• Analyze the raw text: `analyze("hello world", analyzerField)`

• Analyze a text field within a `select` expression. This will annotate the tuples with output of the analyzer: `select(expr, analyze(textField, analyzerField) as outField)`

• Analyze a text field with a `cartesianProduct` expression. This will stream each token emitted by the analyzer in its own tuple: `cartesianProduct(expr, analyze(textField, analyzer) as outField)`

and

The `and` function will return the logical AND of at least 2 boolean parameters. The function will fail to execute if any parameters are non-boolean or null. Returns a boolean value.

and Parameters

• `Field Name | Raw Boolean | Boolean Evaluator`

• `Field Name | Raw Boolean | Boolean Evaluator`

• `…​…​`

• `Field Name | Raw Boolean | Boolean Evaluator`

and Syntax

The expressions below show the various ways in which you can use the `and` evaluator. At least two parameters are required, but there is no limit to how many you can use.

``````and(true,fieldA) // true && fieldA
and(fieldA,fieldB) // fieldA && fieldB
and(or(fieldA,fieldB),fieldC) // (fieldA || fieldB) && fieldC
and(fieldA,fieldB,fieldC,or(fieldD,fieldE),fieldF)``````

anova

The `anova` function calculates the analysis of variance for two or more numeric arrays.

anova Parameters

• `numeric array` …​ (two or more)

anova Syntax

``````anova(numericArray1, numericArray2) // calculates ANOVA for two numeric arrays
anova(numericArray1, numericArray2, numericArray2) // calculates ANOVA for three numeric arrays``````

array

The `array` function returns an array of numerics or other objects including other arrays.

array Parameters

• `numeric` | `array` …​

array Syntax

``````array(1, 2, 3)  // Array of numerics
array(array(1,2,3), array(4,5,6)) // Array of arrays``````

asin

The `asin` function returns the trigonometric arcsine of a number.

asin Parameters

• `Field Name | Raw Number | Number Evaluator`: The value to return the arcsine of.

asin Syntax

``````asin(100.4)  // returns the sine of 100.4
asine(fieldA) // returns the sine for fieldA.
if(gt(fieldA,fieldB),asin(fieldA),asin(fieldB)) // if fieldA > fieldB then return the asine of fieldA, else return the asine of fieldB``````

atan

The `atan` function returns the trigonometric arctangent of a number.

atan Parameters

• `Field Name | Raw Number | Number Evaluator`: The value to return the arctangent of.

atan Syntax

``````atan(100.4)  // returns the arctangent of 100.4
atan(fieldA) // returns the arctangent for fieldA.
if(gt(fieldA,fieldB),atan(fieldA),atan(fieldB)) // if fieldA > fieldB then return the arctanget of fieldA, else return the arctangent of fieldB``````

The `betaDistribution` function returns a beta probability distribution based on its parameters. This function is part of the probability distribution framework and is designed to work with the `sample`, `kolmogorovSmirnov` and `cumulativeProbability` functions.

• `double`: shape1

• `double`: shape2

A probability distribution function.

``betaDistribution(1, 5)``

binomialCoefficient

The `binomialCoefficient` function returns a Binomial Coefficient, the number of k-element subsets that can be selected from an n-element set.

binomialCoefficient Parameters

• `integer`: [n] set

• `integer`: [k] subset

binomialCoefficient Returns

A long value: The number of k-element subsets that can be selected from an n-element set.

binomialCoefficient Syntax

``binomialCoefficient(8, 3) // Returns the number of 3 element subsets from an 8 element set.``

binomialDistribution

The `binomialDistribution` function returns a binomial probability distribution based on its parameters. This function is part of the probability distribution framework and is designed to work with the `sample`, `probability` and `cumulativeProbability` functions.

binomialDistribution Parameters

• `integer`: number of trials

• `double`: probability of success

binomialDistribution Returns

A probability distribution function.

binomialDistribution Syntax

``binomialDistribution(1000, .5)``

The `canberraDistance` function calculates the Canberra distance of two numeric arrays.

• `numeric array`

• `numeric array`

A numeric.

``canberraDistance(numericArray1, numuericArray2))``

cbrt

The `cbrt` function returns the trigonometric cube root of a number.

cbrt Parameters

• `Field Name | Raw Number | Number Evaluator`: The value to return the cube root of.

cbrt Syntax

``````cbrt(100.4)  // returns the square root of 100.4
cbrt(fieldA) // returns the square root for fieldA.
if(gt(fieldA,fieldB),cbrt(fieldA),cbrt(fieldB)) // if fieldA > fieldB then return the cbrt of fieldA, else return the cbrt of fieldB``````

ceil

The `ceil` function rounds a decimal value to the next highest whole number.

ceil Parameters

• `Field Name | Raw Number | Number Evaluator`: The decimal to round up.

ceil Syntax

The expressions below show the various ways in which you can use the `ceil` evaluator.

``````ceil(100.4) // returns 101.
ceil(fieldA) // returns the next highest whole number for fieldA.
if(gt(fieldA,fieldB),ceil(fieldA),ceil(fieldB)) // if fieldA > fieldB then return the ceil of fieldA, else return the ceil of fieldB.``````

chebyshevDistance

The `chebyshevDistance` function calculates the Chebyshev distance of two numeric arrays.

chebyshevDistance Parameters

• `numeric array`

• `numeric array`

A numeric.

chebyshevDistance Syntax

``chebyshevDistance(numericArray1, numuericArray2))``

col

The `col` function returns a numeric array from a list of Tuples. The `col` function is used to create numeric arrays from stream sources.

col Parameters

• `list of Tuples`

• `field name`: The field to create the array from.

col Syntax

``col(tupleList, fieldName)``

constantDistribution

The `constantDistribution` function returns a constant probability distribution based on its parameter. This function is part of the probability distribution framework and is designed to work with the `sample` and `cumulativeProbability` functions.

When sampled the constant distribution always returns its constant value.

constantDistribution Parameters

• `double`: constant value

constantDistribution Returns

A probability distribution function.

constantDistribution Syntax

``constantDistribution(constantValue)``

conv

The `conv` function returns the convolution of two numeric arrays.

conv Parameters

• `numeric array`

• `numeric array`

conv Syntax

``conv(numericArray1, numericArray2)``

copyOf

The `copyOf` function creates a copy of a numeric array.

copyOf Parameters

• `numeric array`

• `length`: The length of the copied array. The returned array will be right padded with zeros if the length parameter exceeds the size of the original array.

copyOf Syntax

``copyOf(numericArray, length)``

copyOfRange

The `copyOfRange` function creates a copy of a range of a numeric array.

copyOfRange Parameters

• `numeric array`

• `start index`

• `end index`

copyOfRange Syntax

``copyOfRange(numericArray, startIndex, endIndex)``

corr

The `corr` function returns the Pearson Product Moment Correlation of two numeric arrays.

corr Parameters

• `numeric array`

• `numeric array`

corr Returns

A double between -1 and 1.

corr Syntax

``corr(numericArray1, numericArray2)``

cos

The `cos` function returns the trigonometric cosine of a number.

cos Parameters

• `Field Name | Raw Number | Number Evaluator`: The value to return the hyperbolic cosine of.

cos Syntax

``````cos(100.4)  // returns the arccosine of 100.4
cos(fieldA) // returns the arccosine for fieldA.
if(gt(fieldA,fieldB),cos(fieldA),cos(fieldB)) // if fieldA > fieldB then return the arccosine of fieldA, else return the cosine of fieldB``````

cosineSimilarity

The `cosineSimilarity` function returns the cosine similarity of two numeric arrays.

cosineSimilarity Parameters

• `numeric array`

• `numeric array`

A numeric.

cosineSimilarity Syntax

``cosineSimilarity(numericArray, numericArray)``

cov

The `cov` function returns the covariance of two numeric arrays.

cov Parameters

• `numeric array`

• `numeric array`

cov Syntax

``cov(numericArray, numericArray)``

cumulativeProbability

The `cumulativeProbability` function returns the cumulative probability of a random variable within a probability distribution. The cumulative probability is the total probability of all random variables less then or equal to a random variable.

cumulativeProbability Parameters

• `probability distribution`

• `number`: Value to compute the probability for.

cumulativeProbability Returns

A double: the cumulative probability.

cumulativeProbability Syntax

``cumulativeProbability(normalDistribution(500, 25), 502) // Returns the cumulative probability of the random sample 502 in a normal distribution with a mean of 500 and standard deviation of 25.``

describe

The `describe` function returns a tuple containing the descriptive statistics for an array.

describe Parameters

• `numeric array`

describe Syntax

``describe(numericArray)``

distance

The `distance` function calculates the Euclidian distance of two numeric arrays.

distance Parameters

• `numeric array`

• `numeric array`

distance Syntax

``distance(numericArray1, numuericArray2))``

div

The `div` function will take two numeric values and divide them. The function will fail to execute if any of the values are non-numeric or null, or the 2nd value is 0. Returns a numeric value.

div Parameters

• `Field Name | Raw Number | Number Evaluator`

• `Field Name | Raw Number | Number Evaluator`

div Syntax

The expressions below show the various ways in which you can use the `div` evaluator. The first value will be divided by the second and as such the second cannot be 0.

``````div(1,2) // 1 / 2
div(1,fieldA) // 1 / fieldA
div(fieldA,1.4) // fieldA / 1.4
div(fieldA,add(fieldA,fieldB)) // fieldA / (fieldA + fieldB)``````

dotProduct

The `dotProduct` function returns the dotproduct of a numeric array.

dotProduct Parameters

• `numeric array`

A number.

dotProduct Syntax

``dotProduct(numericArray)``

earthMoversDistance

The `earthMoversDistance` function calculates the Earth Movers distance of two numeric arrays.

earthMoversDistance Parameters

• `numeric array`

• `numeric array`

A numeric.

earthMoversDistance Syntax

``earthMoversDistance(numericArray1, numericArray2))``

The `ebeAdd` function performs an element-by-element addition of two numeric arrays.

• `numeric array`

• `numeric array`

A numeric array.

``ebeAdd(numericArray, numericArray)``

ebeDivide

The `ebeDivide` function performs an element-by-element division of two numeric arrays.

ebeDivide Parameters

• `numeric array`

• `numeric array`

A numeric array.

ebeDivide Syntax

``ebeDivide(numericArray, numericArray)``

ebeMultiple

The `ebeMultiply` function performs an element-by-element multiplication of two numeric arrays.

ebeMultiply Parameters

• `numeric array`

• `numeric array`

A numeric array.

ebeMultiply Syntax

``ebeMultiply(numericArray, numericArray)``

ebeSubtract

The `ebeSubtract` function performs an element-by-element subtraction of two numeric arrays.

ebeSubtract Parameters

• `numeric array`

• `numeric array`

A numeric array.

ebeSubtract Syntax

``ebeSubtract(numericArray, numericArray)``

empiricalDistribution

The `empiricalDistribution` function returns empirical distribution function, a continuous probability distribution function based on an actual data set. This function is part of the probability distribution framework and is designed to work with the `sample`, `kolmogorovSmirnov` and `cumulativeProbability` functions.

This function is designed to work with continuous data. To build a distribution from a discrete data set use the `enumeratedDistribution`.

empiricalDistribution Parameters

• `numeric array`: empirical observations

empiricalDistribution Returns

A probability distribution function.

empiricalDistribution Syntax

empiricalDistribution(numericArray)

enumeratedDistribution

The `enumeratedDistribution` function returns a discrete probability distribution function based on an actual data set or a pre-defined set of data and probabilities. This function is part of the probability distribution framework and is designed to work with the `sample`, `probability` and `cumulativeProbability` functions.

The enumeratedDistribution can be called in two different scenarios:

1) Single array of discrete values. This works like an empirical distribution for discrete data.

2) An array of singleton discrete values and an array of double values representing the probabilities of the discrete values.

This function is designed to work with discrete data. To build a distribution from a continuous data set use the `empiricalDistribution`.

enumeratedDistribution Parameters

• `integer array`: discrete observations or singleton discrete values.

• `double array`: (Optional) values representing the probabilities of the singleton discrete values.

enumeratedDistribution Returns

A probability distribution function.

enumeratedDistribution Syntax

``````enumeratedDistribution(integerArray) // This creates an enumerated distribution from the observations in the numeric array.
enumeratedDistribution(array(1,2,3,4), array(.25,.25,.25,.25)) // This creates an enumerated distribution with four discrete values (1,2,3,4) each with a probability of .25.``````

eor

The `eor` function will return the logical exclusive or of at least two boolean parameters. The function will fail to execute if any parameters are non-boolean or null. Returns a boolean value.

eor Parameters

• `Field Name | Raw Boolean | Boolean Evaluator`

• `Field Name | Raw Boolean | Boolean Evaluator`

• `…​…​`

• `Field Name | Raw Boolean | Boolean Evaluator`

eor Syntax

The expressions below show the various ways in which you can use the `eor` evaluator. At least two parameters are required, but there is no limit to how many you can use.

``````eor(true,fieldA) // true iff fieldA is false
eor(fieldA,fieldB) // true iff either fieldA or fieldB is true but not both
eor(eq(fieldA,fieldB),eq(fieldC,fieldD)) // true iff either fieldA == fieldB or fieldC == fieldD but not both``````

eq

The `eq` function will return whether all the parameters are equal, as per Java’s standard `equals(…​)` function. The function accepts parameters of any type, but will fail to execute if all the parameters are not of the same type. That is, all are Boolean, all are String, or all are Numeric. If any any parameters are null and there is at least one parameter that is not null then false will be returned. Returns a boolean value.

eq Parameters

• `Field Name | Raw Value | Evaluator`

• `Field Name | Raw Value | Evaluator`

• `…​…​`

• `Field Name | Raw Value | Evaluator`

eq Syntax

The expressions below show the various ways in which you can use the `eq` evaluator.

``````eq(1,2) // 1 == 2
eq(1,fieldA) // 1 == fieldA
eq(fieldA,val(foo)) fieldA == "foo"
eq(add(fieldA,fieldB),6) // fieldA + fieldB == 6``````

expMovingAge

The `expMovingAverage` function computes an exponential moving average for a numeric array.

expMovingAge Parameters

• `numeric array`: The array to compute the exponential moving average from.

• `integer`: window size

expMovingAvg Returns

A numeric array. The first element of the returned array will start from the windowSize-1 index of the original array.

expMovingAvg Syntax

``expMovingAvg(numericArray, 5) //Computes an exponential moving average with a window size of 5.``

factorial

The `factorial` function returns the factorial of its parameter.

factorial Parameters

• `integer`: The value to compute the factorial for. The largest supported value of this parameter is 170.

A double.

factorial Syntax

``factorial(100) //Computes the factorial of 100``

finddelay

The `finddelay` function performs a cross-correlation between two numeric arrays and returns the delay.

finddelay Parameters

• `numeric array`

• `numeric array`

finddelay Syntax

``finddelay(numericArray1, numericArray2)``

floor

The `floor` function rounds a decimal value to the next lowest whole number.

floor Parameters

• `Field Name | Raw Number | Number Evaluator`: The decimal to round down.

floor Syntax

The expressions below show the various ways in which you can use the `floor` evaluator.

``````floor(100.4) // returns 100.
ceil(fieldA) // returns the next lowestt whole number for fieldA.
if(gt(fieldA,fieldB),floor(fieldA),floor(fieldB)) // if fieldA > fieldB then return the floor of fieldA, else return the floor of fieldB.``````

freqTable

The `freqTable` function returns a frequency distribution from an array of discrete values.

This function is designed to work with discrete values. To work with continuous data use the `hist` function.

freqTable Parameters

• `integer array`: The values to build the frequency distribution from.

freqTable Returns

A list of tuples containing the frequency information for each discrete value.

freqTable Syntax

``freqTable(integerArray)``

The `gammaDistribution` function returns a gamma probability distribution based on its parameters. This function is part of the probability distribution framework and is designed to work with the `sample`, `kolmogorovSmirnov` and `cumulativeProbability` functions.

• `double`: shape

• `double`: scale

A probability distribution function,

``gammaDistribution(1, 10)``

gt

The `gt` function will return whether the first parameter is greater than the second parameter. The function accepts numeric or string parameters, but will fail to execute if all the parameters are not of the same type. That is, all are String or all are Numeric. If any any parameters are null then an error will be raised. Returns a boolean value.

gt Parameters

• `Field Name | Raw Value | Evaluator`

• `Field Name | Raw Value | Evaluator`

gt Syntax

The expressions below show the various ways in which you can use the `gt` evaluator.

``````gt(1,2) // 1 > 2
gt(1,fieldA) // 1 > fieldA
gt(fieldA,val(foo)) // fieldA > "foo"
gt(add(fieldA,fieldB),6) // fieldA + fieldB > 6``````

gteq

The `gteq` function will return whether the first parameter is greater than or equal to the second parameter. The function accepts numeric and string parameters, but will fail to execute if all the parameters are not of the same type. That is, all are String or all are Numeric. If any any parameters are null then an error will be raised. Returns a boolean value.

gteq Parameters

• `Field Name | Raw Value | Evaluator`

• `Field Name | Raw Value | Evaluator`

gteq Syntax

The expressions below show the various ways in which you can use the `gteq` evaluator.

``````gteq(1,2) // 1 >= 2
gteq(1,fieldA) // 1 >= fieldA
gteq(fieldA,val(foo)) fieldA >= "foo"
gteq(add(fieldA,fieldB),6) // fieldA + fieldB >= 6``````

hist

The `hist` function creates a histogram from a numeric array. The hist function is designed to work with continuous variables.

hist Parameters

• `numeric array`

• `bins`: The number of bins in the histogram. Each returned tuple contains summary statistics for the observations that were within the bin.

hist Syntax

``hist(numericArray, bins)``

hsin

The `hsin` function returns the trigonometric hyperbolic sine of a number.

hsin Parameters

• `Field Name | Raw Number | Number Evaluator`: The value to return the hyperbolic sine of.

hsin Syntax

``````hsin(100.4)  // returns the hsine of 100.4
hsin(fieldA) // returns the hsine for fieldA.
if(gt(fieldA,fieldB),sin(fieldA),sin(fieldB)) // if fieldA > fieldB then return the hsine of fieldA, else return the hsine of fieldB``````

if

The `if` function works like a standard conditional if/then statement. If the first parameter is true, then the second parameter will be returned, else the third parameter will be returned. The function accepts a boolean as the first parameter and anything as the second and third parameters. An error will occur if the first parameter is not a boolean or is null.

if Parameters

• `Field Name | Raw Value | Boolean Evaluator`

• `Field Name | Raw Value | Evaluator`

• `Field Name | Raw Value | Evaluator`

if Syntax

The expressions below show the various ways in which you can use the `if` evaluator.

``````if(fieldA,fieldB,fieldC) // if fieldA is true then fieldB else fieldC
if(gt(fieldA,5), fieldA, 5) // if fieldA > 5 then fieldA else 5
if(eq(fieldB,null), null, div(fieldA,fieldB)) // if fieldB is null then null else fieldA / fieldB``````

kendallsCorr

The `kendallsCorr` function returns the Kendall’s Tau-b Rank Correlation of two numeric arrays.

kendallsCorr Parameters

• `numeric array`

• `numeric array`

kendalsCorr Returns

A double between -1 and 1.

kendalsCorr Syntax

``kendallsCorr(numericArray1, numericArray2)``

length

The `length` function returns the length of a numeric array.

length Parameters

• `numeric array`

length Syntax

``length(numericArray)``

log

The `log` function will return the natural log of the provided single parameter. The `log` function will fail to execute if the value is non-numeric. If a null value is found, then null will be returned as the result.

log Parameters

• `Field Name | Raw Number | Number Evaluator`

log Syntax

The expressions below show the various ways in which you can use the `log` evaluator. Only one parameter is accepted. Returns a numeric value.

``````log(100)
log(fieldA)``````

logNormalDistribution

The `logNormalDistribution` function returns a log normal probability distribution based on its parameters. This function is part of the probability distribution framework and is designed to work with the `sample`, `kolmogorovSmirnov` and `cumulativeProbability` functions.

logNormalDistribution Parameters

• `double`: shape

• `double`: scale

logNormalDistribution Returns

A probability distribution function.

logNormalDistribution Syntax

``logNormalDistribution(.3, .0)``

kolmogorovSmirnov

The `kolmogorovSmirnov` function performs a Kolmogorov Smirnov test, between a reference continuous probability distribution and a sample set.

The supported distribution functions are: `empiricalDistribution`, `normalDistribution`, `logNormalDistribution`, `weibullDistribution`, `gammaDistribution`, and `betaDistribution`.

kolmogorovSmirnov Parameters

• `continuous probability distribution`: Reference distribution

• `numeric array`: sample set

kolmogorovSmirnov Returns

result tuple : A tuple containing the p-value and d-statistic for the test result.

kolmogorovSmirnov Syntax

``kolmogorovSmirnov(normalDistribution(10, 2), sampleSet)``

lt

The `lt` function will return whether the first parameter is less than the second parameter. The function accepts numeric or string parameters, but will fail to execute if all the parameters are not of the same type. That is, all are String or all are Numeric. If any any parameters are null then an error will be raised. Returns a boolean value.

lt Parameters

• `Field Name | Raw Value | Evaluator`

• `Field Name | Raw Value | Evaluator`

lt Syntax

The expressions below show the various ways in which you can use the `lt` evaluator.

``````lt(1,2) // 1 < 2
lt(1,fieldA) // 1 < fieldA
lt(fieldA,val(foo)) fieldA < "foo"
lt(add(fieldA,fieldB),6) // fieldA + fieldB < 6``````

lteq

The `lteq` function will return whether the first parameter is less than or equal to the second parameter. The function accepts numeric and string parameters, but will fail to execute if all the parameters are not of the same type. That is, all are String or all are Numeric. If any any parameters are null then an error will be raised. Returns a boolean value.

lteq Parameters

• `Field Name | Raw Value | Evaluator`

• `Field Name | Raw Value | Evaluator`

lteq Syntax

The expressions below show the various ways in which you can use the `lteq` evaluator.

``````lteq(1,2) // 1 <= 2
lteq(1,fieldA) // 1 <= fieldA
lteq(fieldA,val(foo)) fieldA <= "foo"
lteq(add(fieldA,fieldB),6) // fieldA + fieldB <= 6``````

manhattanDistance

The `manhattanDistance` function calculates the Manhattan distance of two numeric arrays.

manhattanDistance Parameters

• `numeric array`

• `numeric array`

A numeric.

manhattanDistance Syntax

``manhattanDistance(numericArray1, numuericArray2))``

meanDifference

The `meanDifference` function calculates the mean of the differences following the element-by-element subtraction between two numeric arrays.

meanDifference Parameters

• `numeric array`

• `numeric array`

A numeric.

meanDifference Syntax

``meanDifference(numericArray, numericArray)``

mod

The `mod` function returns the remainder (modulo) of the first parameter divided by the second parameter.

mod Parameters

• `Field Name | Raw Number | Number Evaluator`: Parameter 1

• `Field Name | Raw Number | Number Evaluator`: Parameter 2

mod Syntax

The expressions below show the various ways in which you can use the `mod` evaluator.

``````mod(100,3) // returns the remainder of 100 / 3 .
mod(100,fieldA) // returns the remainder of 100 divided by the value of fieldA.
mod(fieldA,1.4) // returns the remainder of fieldA divided by 1.4.
if(gt(fieldA,fieldB),mod(fieldA,fieldB),mod(fieldB,fieldA)) // if fieldA > fieldB then return the remainder of fieldA/fieldB, else return the remainder of fieldB/fieldA.``````

monteCarlo

The `monteCarlo` function performs a Monte Carlo simulation (https://en.wikipedia.org/wiki/Monte_Carlo_method) based on its parameters. The monteCarlo function runs another function a specified number of times and returns the results.

The function being run typically has one or more variables that are drawn from probability distributions on each run. The `sample` function is used in the function to draw the samples.

The simulation’s result array can then be treated as an empirical distribution to understand the probabilities of the simulation results.

monteCarlo Parameters

• `numeric function`: The function being run by the simulation, which must return a numeric value.

• `integer`: The number of times to run the function.

monteCarlo Returns

A numeric array: The results of simulation runs.

monteCarlo Syntax

``````let(a=uniformIntegerDistribution(1, 6),
b=uniformIntegerDistribution(1, 6),

In the expression above the `monteCarlo` function is running the function `add(sample(a), sample(b))` 1000 times and returning the result. Each time the function is run samples are drawn from the probability distributions stored in variables `a` and `b`.

movingAvg

The `movingAvg` function calculates a moving average over an array of numbers.

movingAvg Parameters

• `numeric array`

• `window size`

movingAvg Returns

A numeric array. The first element of the returned array will start from the windowSize-1 index of the original array.

movingAvg Syntax

``movingAverage(numericArray, 30)``

movingMedian

The `movingMedian` function calculates a moving median over an array of numbers.

movingMedian Parameters

• `numeric array`

• `window size`

movingMedian Returns

A numeric array. The first element of the returned array will start from the windowSize-1 index of the original array.

movingMedian Syntax

``movingMedian(numericArray, 30)``

mult

The `mult` function will take two or more numeric values and multiply them together. The `mult` function will fail to execute if any of the values are non-numeric. If a null value is found then null will be returned as the result.

mult Parameters

• `Field Name | Raw Number | Number Evaluator`

• `Field Name | Raw Number | Number Evaluator`

• `…​…​`

• `Field Name | Raw Number | Number Evaluator`

mult Syntax

The expressions below show the various ways in which you can use the `mult` evaluator. The number and order of these parameters do not matter and is not limited except that at least two parameters are required. Returns a numeric value.

``````mult(1,2,3,4) // 1 * 2 * 3 * 4
mult(1,fieldA) // 1 * value of fieldA
mult(fieldA,1.4) // value of fieldA * 1.4
mult(fieldA,fieldB,fieldC) // value of fieldA * value of fieldB * value of fieldC
mult(fieldA,div(fieldA,fieldB)) // value of fieldA * (value of fieldA / value of fieldB)
mult(fieldA,if(gt(fieldA,fieldB),fieldA,fieldB)) // if fieldA > fieldB then fieldA * fieldA, else fieldA * fieldB``````

normalDistribution

The `normalDistribution` function returns a normal probability distribution based on its parameters. This function is part of the probability distribution framework and is designed to work with the `sample`, `kolmogorovSmirnov` and `cumulativeProbability` functions.

normalDistribution Parameters

• `double`: mean

• `double`: standard deviation

normalDistribution Returns

A probability distribution function.

normalDistribution Syntax

``normalDistribution(mean, stddev)``

normalize

The `normalize` function normalizes a numeric array so that values within the array have a mean of 0 and standard deviation of 1.

normalize Parameters

• `numeric array`

normalize Syntax

``normalize(numericArray)``

not

The `not` function will return the logical NOT of a single boolean parameter. The function will fail to execute if the parameter is non-boolean or null. Returns a boolean value.

not Parameters

• `Field Name | Raw Boolean | Boolean Evaluator`

not Syntax

The expressions below show the various ways in which you can use the `not` evaluator. Only one parameter is allowed.

``````not(true) // false
not(fieldA) // true if fieldA is false else false
not(eq(fieldA,fieldB)) // true if fieldA != fieldB``````

or

The `or` function will return the logical OR of at least 2 boolean parameters. The function will fail to execute if any parameters are non-boolean or null. Returns a boolean value.

or Parameters

• `Field Name | Raw Boolean | Boolean Evaluator`

• `Field Name | Raw Boolean | Boolean Evaluator`

• `…​…​`

• `Field Name | Raw Boolean | Boolean Evaluator`

or Syntax

The expressions below show the various ways in which you can use the `or` evaluator. At least two parameters are required, but there is no limit to how many you can use.

``````or(true,fieldA) // true || fieldA
or(fieldA,fieldB) // fieldA || fieldB
or(and(fieldA,fieldB),fieldC) // (fieldA && fieldB) || fieldC
or(fieldA,fieldB,fieldC,and(fieldD,fieldE),fieldF)``````

poissonDistribution

The `poissonDistribution` function returns a poisson probability distribution based on its parameter. This function is part of the probability distribution framework and is designed to work with the `sample`, `probability` and `cumulativeProbability` functions.

poissonDistribution Parameters

• `double`: mean

poissonDistribution Returns

A probability distribution function.

poissonDistribution Syntax

``poissonDistribution(mean)``

polyFit

The `polyFit` function performs polynomial curve fitting.

polyFit Parameters

• `numeric array`: (Optional) x values. If omitted a sequence will be created for the x values.

• `numeric array`: y values

• `integer`: (Optional) polynomial degree. Defaults to 3.

polyFit Returns

A numeric array: curve that was fit to the data points.

polyFit Syntax

``````polyFit(yValues) // This creates the xValues automatically and fits a curve through the data points using the default 3 degree polynomial.
polyFit(yValues, 5) // This creates the xValues automatically and fits a curve through the data points using a 5 degree polynomial.
polyFit(xValues, yValues, 5) // This will fit a curve through the data points using a 5 degree polynomial.``````

polyfitDerivative

The `polyfitDerivative` function returns the derivative of the curve created by the polynomial curve fitter.

polyfitDerivative Parameters

• `numeric array`: (Optional) x values. If omitted a sequence will be created for the x values.

• `numeric array`: y values

• `integer`: (Optional) polynomial degree. Defaults to 3.

polyfitDerivative Returns

A numeric array: The curve for the derivative created by the polynomial curve fitter.

polyfitDerivative Syntax

``````polyfitDerivative(yValues) // This creates the xValues automatically and returns the polyfit derivative
polyfitDerivative(yValues, 5) //  This creates the xValues automatically and fits a curve through the data points using a 5 degree polynomial and returns the polyfit derivative.
polyfitDerivative(xValues, yValues, 5) // This will fit a curve through the data points using a 5 degree polynomial and returns the polyfit derivative.``````

pow

The `pow` function returns the value of its first parameter raised to the power of its second parameter.

pow Parameters

• `Field Name | Raw Number | Number Evaluator`: Parameter 1

• `Field Name | Raw Number | Number Evaluator`: Parameter 2

pow Syntax

The expressions below show the various ways in which you can use the `pow` evaluator.

``````pow(2,3) // returns 2 raised to the 3rd power.
pow(4,fieldA) // returns 4 raised by the value of fieldA.
pow(fieldA,1.4) // returns the value of fieldA raised by 1.4.
if(gt(fieldA,fieldB),pow(fieldA,fieldB),pow(fieldB,fieldA)) // if fieldA > fieldB then raise fieldA by fieldB, else raise fieldB by fieldA.``````

predict

The `predict` function predicts the value of an dependent variable based on the output of the regress function.

predict Parameters

• `regress output`

• `numeric predictor`

predict Syntax

``predict(regressOutput, predictor)``

primes

The `primes` function returns an array of prime numbers starting from a specified number.

primes Parameters

• `integer`: The number of primes to return in the list

• `integer`: The starting point for returning the primes

A numeric array.

primes Syntax

``primes(100, 2000) // returns 100 primes starting from 2000``

probability

The `probability` function returns the probability of a random variable within a discrete probability distribution.

probability Parameters

• `discrete probability distribution`: poissonDistribution | binomialDistribution | uniformDistribution | enumeratedDistribution

• `integer`: Value of the random variable to compute the probability for.

probability Returns

A double: the probability.

probability Syntax

``probability(poissonDistribution(10), 7) // Returns the probability of a random sample of 7 in a poisson distribution with a mean of 10.``

rank

The `rank` performs a rank transformation on a numeric array.

rank Parameters

• `numeric array`

rank Syntax

``rank(numericArray)``

raw

The `raw` function will return whatever raw value is the parameter. This is useful for cases where you want to use a string as part of another evaluator.

raw Parameters

• `Raw Value`

raw Syntax

The expressions below show the various ways in which you can use the `raw` evaluator. Whatever is inside will be returned as-is. Internal evaluators are considered strings and are not evaluated.

``````raw(foo) // "foo"
raw(count(*)) // "count(*)"
raw(45) // 45
raw(true) // "true" (note: this returns the string "true" and not the boolean true)
eq(raw(fieldA), fieldA) // true if the value of fieldA equals the string "fieldA"``````

regress

The `regress` function performs a simple regression of two numeric arrays.

The result of this expression is also used by the `predict` and `residuals` functions.

regress Parameters

• `numeric array`

• `numeric array`

regress Syntax

``regress(numericArray1, numericArray2)``

residuals

The `residuals` function takes three parameters: a simple regression model, an array of predictor values and an array of actual values. The residuals function applies the simple regression model to the array of predictor values and computes a predictions array. The predicted values array is then subtracted from the actual value array to compute the residuals array.

residuals Parameters

• `regress output`

• `numeric array`: The array of predictor values

• `numeric array`: The array of actual values

residuals Returns

A numeric array of residuals.

residuals Syntax

``residuals(regressOutput, numericArray, numericArray)``

rev

The `rev` function reverses the order of a numeric array.

rev Parameters

• `numeric array`

rev Syntax

``rev(numericArray)``

round

The `round` function returns the closest whole number to the argument.

round Parameters

• `Field Name | Raw Number | Number Evaluator`: The value to return the square root of.

round Syntax

``````round(100.4)
round(fieldA)
if(gt(fieldA,fieldB),sqrt(fieldA),sqrt(fieldB)) // if fieldA > fieldB then return the round of fieldA, else return the round of fieldB``````

sample

The `sample` function can be used to draw random samples from a probability distribution.

sample Parameters

• `probability distribution`: The distribution to sample.

• `integer`: (Optional) Sample size. Defaults to 1.

sample Returns

Either a single numeric random sample, or a numeric array depending on the sample size parameter.

sample Syntax

``````sample(poissonDistribution(5)) // Returns a single random sample from a poissonDistribution with mean of 5.
sample(poissonDistribution(5), 1000) // Returns 1000 random samples from poissonDistribution with a mean of 5.``````

scale

The `scale` function multiplies all the elements of an array by a number.

scale Parameters

• `number`

• `numeric array`

scale Syntax

``scale(number, numericArray)``

sequence

The `sequence` function returns an array of numbers based on its parameters.

sequence Parameters

• `length`

• `start`

• `stride`

sequence Syntax

``sequence(100, 0, 1) // Returns a sequence of length 100, starting from 0 with a stride of 1.``

sin

The `sin` function returns the trigonometric sine of a number.

sin Parameters

• `Field Name | Raw Number | Number Evaluator`: The value to return the sine of.

sin Syntax

``````sin(100.4)  // returns the sine of 100.4
sine(fieldA) // returns the sine for fieldA.
if(gt(fieldA,fieldB),sin(fieldA),sin(fieldB)) // if fieldA > fieldB then return the sine of fieldA, else return the sine of fieldB``````

spearmansCorr

The `spearmansCorr` function returns the Spearmans Rank Correlation of two numeric arrays.

spearmansCorr Parameters

• `numeric array`

• `numeric array`

spearmansCorr Returns

A double between -1 and 1.

spearmansCorr Syntax

``spearmansCorr(numericArray1, numericArray2)``

sqrt

The `sqrt` function returns the trigonometric square root of a number.

sqrt Parameters

• `Field Name | Raw Number | Number Evaluator`: The value to return the square root of.

sqrt Syntax

``````sqrt(100.4)  // returns the square root of 100.4
sqrt(fieldA) // returns the square root for fieldA.
if(gt(fieldA,fieldB),sqrt(fieldA),sqrt(fieldB)) // if fieldA > fieldB then return the sqrt of fieldA, else return the sqrt of fieldB``````

sub

The `sub` function will take 2 or more numeric values and subtract them, from left to right. The `sub` function will fail to execute if any of the values are non-numeric. If a null value is found then `null` will be returned as the result.

sub Parameters

• `Field Name | Raw Number | Number Evaluator`

• `Field Name | Raw Number | Number Evaluator`

• `…​…​`

• `Field Name | Raw Number | Number Evaluator`

sub Syntax

The expressions below show the various ways in which you can use the `sub` evaluator. The number of these parameters does not matter and is not limited except that at least two parameters are required. Returns a numeric value.

``````sub(1,2,3,4) // 1 - 2 - 3 - 4
sub(1,fieldA) // 1 - value of fieldA
sub(fieldA,1.4) // value of fieldA - 1.4
sub(fieldA,fieldB,fieldC) // value of fieldA - value of fieldB - value of fieldC
sub(fieldA,div(fieldA,fieldB)) // value of fieldA - (value of fieldA / value of fieldB)
if(gt(fieldA,fieldB),sub(fieldA,fieldB),sub(fieldB,fieldA)) // if fieldA > fieldB then fieldA - fieldB, else fieldB - field``````

sumDifference

The `sumDifference` function calculates the sum of the differences following an element-by-element subtraction between two numeric arrays.

sumDifference Parameters

• `numeric array`

• `numeric array`

A numeric.

sumDifference Syntax

``sumDifference(numericArray, numericArray)``

uniformDistribution

The `uniformDistribution` function returns a continuous uniform probability distribution based on its parameters. See the `uniformIntegerDistribution` to work with discrete uniform distributions. This function is part of the probability distribution framework and is designed to work with the `sample` and `cumulativeProbability` functions.

uniforDistribution Parameters

• `double`: start

• `double`: end

uniformDistribution Returns

A probability distribution function.

uniformDistribution Syntax

``uniformDistribution(0.0, 100.0)``

uniformIntegerDistribution

The `uniformIntegerDistribution` function returns a discrete uniform probability distribution based on its parameters. See the `uniformDistribution` to work with continuous uniform distributions. This function is part of the probability distribution framework and is designed to work with the `sample`, `probability` and `cumulativeProbability` functions.

uniformIntegerDistribution Parameters

• `integer`: start

• `integer`: end

uniformIntegerDistribution Returns

A probability distribution function.

uniformIntegerDistribution Syntax

``uniformDistribution(1, 6)``

weibullDistribution

The `weibullDistribution` function returns a Weibull probability distribution based on its parameters. This function is part of the probability distribution framework and is designed to work with the `sample`, `kolmogorovSmirnov` and `cumulativeProbability` functions.

weibullDistribution Parameters

• `double`: shape

• `double`: scale

weibullDistribution Returns

A probability distribution function.

weibullDistribution Syntax

``weibullDistribution(.5, 10)``

zipFDistribution

The `zipFDistribution` function returns a ZipF distribution based on its parameters. This function is part of the probability distribution framework and is designed to work with the `sample`, `probability` and `cumulativeProbability` functions.

zipFDistribution Parameters

• `integer`: size

• `double`: exponent

zipFDistribution Returns

A probability distribution function.

zipFDistribution Syntax

``zipFDistribution(5000, 1.0)``