Mathematical

Abs

Calculates an absolute/positive number.

• Abs(input)

Returns an absolute/positive number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Acos

Calculates the angle whose cosine is the specified number.

• Acos(input)

Returns the angle whose cosine is the specified number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Add

Adds numbers/tables and returns the result number/table.

• Add(input1, [ input2 ])

Returns the total sum of a single value is provide, adds the 2 values if there are 2 provided.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	Input, Number
input2	NumberOrTable	False	Input, Number

AddPerc

Add a percentage to the value.

• AddPerc(value, percentage)

Returns the value with the added percentage.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
value	NumberOrTable	True	-
percentage	Number	True	Input, Number, SessionGet

AddPercentage

Add a percentage to the value.

• AddPercentage(value, percentage)

Returns the value with the added percentage.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
value	NumberOrTable	True	-
percentage	Number	True	Input, Number, SessionGet

Asin

Calculates the angle whose sine is the specified number.

• Asin(input)

Returns the angle whose sine is the specified number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Atan

Calculates the angle whose tangent is the specified number.

• Atan(input)

Returns the angle whose tangent is the specified number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Atan2

Calculates the angle whose tangent is the quotient of two specified numbers.

• Atan2(input1, input2)

Returns the angle whose tangent is the quotient of two specified numbers.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	-
input2	NumberOrTable	True	-

Average

Calculates the average value of the array, two numbers or averages between 2 arrays.

• Average(input1, [ input2 ])

Returns the average value of the array, two numbers or averages between 2 arrays.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	-
input2	NumberOrTable	False	-

Average2

Calculates the average value of the array for a certain period.

• Average2(input, [ period ])

Returns the average value of the array for a certain period.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	ListNumbers	True	-
period	Number	False	-

Ceil

Calculates the smallest integral value greater than or equal to the specified number.

• Ceil(input)

Returns the smallest integral value greater than or equal to the specified number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Change

Calculates the absolute price changes between the values.

• Change(prices)

Returns the new-old change of the values in an array.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
prices	ListNumbers	True	BuyPrices, SellPrices, OpenPrices, HighPrices, LowPrices, ClosePrices, HLPrices, HLCPrices, OCPrices, OHLCPrices

Clamp

Calculates the number or table of numbers clamped between the specified minimum and maximum.

• Clamp(input, min, max)

Returns number or table of numbers clamped between the specified minimum and maximum.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-
min	Number	True	-
max	Number	True	-

Compress

Calculates the average values of every 2 values in an array. When the input is [10, 20, 30, 40] the result will be [15, 35].

• Compress(input)

Returns the compressed array.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
input	ListNumbers	True	-

Cos

Calculates the cosine of the specified angle.

• Cos(input)

Returns the cosine of the specified angle.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Cosh

Calculates the hyperbolic cosine of the specified angle.

• Cosh(input)

Returns the hyperbolic cosine of the specified angle.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Delta

Calculates the percentage between input1 and input2 or the percentage change between the values of input1.

• Delta(input1, [ input2 ])

Returns the percentage between input1 and input2. When for example input1 is 5 and input2 is 6, 20 is returned.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	-
input2	NumberOrTable	False	-

Div

Divides input1 with input2. If one of the parameters is a single value, the other is divided by this.

• Div(input1, input2)

Returns the divided numbers/tables.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	Input, Number
input2	NumberOrTable	True	Input, Number

Epsilon

Enumeration, returns 1 Satoshi (=Epsilon).

• Epsilon

Returns 1 Satoshi (=Epsilon).

Return Type: Number

Exp

Calculates 'e' raised to the specified power.

• Exp(input)

Returns 'e' raised to the specified power.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

FilterAbove

Filters out all values above a specific value.

• FilterAbove(input, threshold)

Returns the filtered input.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-
threshold	Number	True	-

FilterBelow

Filters out all values below a specific value.

• FilterBelow(input, threshold)

Returns the filtered input.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-
threshold	Number	True	-

Floor

Calculates the largest integral value less than or equal to the specified number.

• Floor(input)

Returns the largest integral value less than or equal to the specified number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

GetHigh

Gets the highest value.

• GetHigh(prices, depth, [ offset ])

Returns the highest value.

Return Type: Number

Parameter Name	Parameter Type	Required	Suggested
prices	ListNumbers	True	BuyPrices, SellPrices, OpenPrices, HighPrices, LowPrices, ClosePrices, HLPrices, HLCPrices, OCPrices, OHLCPrices
depth	Number	True	Input, Number, SessionGet
offset	Number	False	Input, Number, SessionGet

GetHighs

Gets the highest values within lookback period.

• GetHighs(array, depth)

Returns the highest values within lookback period.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
array	ListNumbers	True	BuyPrices, SellPrices, OpenPrices, HighPrices, LowPrices, ClosePrices, HLPrices, HLCPrices, OCPrices, OHLCPrices
depth	Number	True	Input, Number, SessionGet

GetLow

Gets the lowest value.

• GetLow(prices, depth, [ offset ])

Returns the lowest value.

Return Type: Number

Parameter Name	Parameter Type	Required	Suggested
prices	ListNumbers	True	BuyPrices, SellPrices, OpenPrices, HighPrices, LowPrices, ClosePrices, HLPrices, HLCPrices, OCPrices, OHLCPrices
depth	Number	True	Input, Number, SessionGet
offset	Number	False	Input, Number, SessionGet

GetLows

Gets the lowest values within lookback period.

• GetLows(array, depth)

Returns the lowest values within lookback period.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
array	ListNumbers	True	BuyPrices, SellPrices, OpenPrices, HighPrices, LowPrices, ClosePrices, HLPrices, HLCPrices, OCPrices, OHLCPrices
depth	Number	True	Input, Number, SessionGet

Ln

Calculates the logarithm of a specified number.

• Ln(input1, [ input2 ])

Returns the logarithm of a specified number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	-
input2	NumberOrTable	False	-

Log10

Calculates the base 10 logarithm of a specified number.

• Log10(input)

Returns the base 10 logarithm of a specified number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Max

Returns the maximum value. If the input is a single array, it returns the biggest number in that array (single value). If inputs are both numbers, it returns the biggest number (single value). If inputs are array and number, it returns the biggest number (array[1] vs number, single value). If inputs are both arrays, it returns an array of the biggest numbers per cell (array, length determined by the shorter array).

• Max(values[])

Returns the biggest number or an array of biggest numbers per cell.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
values[]	NumberOrTableParams	True	-

Min

Returns the minimum value. If the input is a single array, it returns the minimum in that array (single value). If inputs are both numbers, it returns the smallest number (single value). If inputs are array and number, it returns the smallest number (single value). If inputs are both arrays, it returns an array of the smallest numbers per cell (array, length determined by shortest array)

• Min(values[])

Returns the smallest number or an array of smallest numbers per cell.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
values[]	NumberOrTableParams	True	-

Mul

Multiplies input1 with input2. If one of the parameters is a single value, the other is multiplied by this.

• Mul(input1, input2)

Returns the multiplied numbers/tables.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	Input, Number
input2	NumberOrTable	True	Input, Number

Mult

Multiplies input1 with input2. If one of the parameters is a single value, the other is multiplied by this.

• Mult(input1, input2)

Returns the multiplied numbers/tables.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	Input, Number
input2	NumberOrTable	True	Input, Number

NumberMax

Enumeration, returns the maximum number.

• NumberMax

Returns a maximum value (2147483647).

Return Type: Number

NumberMin

Enumeration, returns the minimum number.

• NumberMin

Returns a minimum value (-2147483648).

Return Type: Number

PercentageChange

Calculates the percentage between input1 and input2 or the percentage change between the values of input1.

• PercentageChange(input1, [ input2 ])

Returns the percentage between input1 and input2. When for example input1 is 5 and input2 is 6, 20 is returned.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	-
input2	NumberOrTable	False	-

PI

Enumeration, returns the number of PI.

• PI

Returns PI (3.14159265359).

Return Type: Number

Pow

Calculates a specified number/table raised to the specified power number/table.

• Pow(input1, input2)

Returns a specified number/table raised to the specified power number/table.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	Input, Number
input2	NumberOrTable	True	Input, Number

Random

Creates a random number.

• Random([ min ], [ max ])

Returns a random number.

Return Type: Number

Parameter Name	Parameter Type	Required	Suggested
min	Number	False	Input, Number
max	Number	False	Input, Number

ReplaceAbove

Replaces any value above a specific value with another value.

• ReplaceAbove(input, threshold, newValue)

Returns the input with replaced values.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-
threshold	Number	True	-
newValue	Number	True	-

ReplaceBelow

Replaces any value below a specific value with another value.

• ReplaceBelow(input, threshold, newValue)

Returns the input with replaced values.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-
threshold	Number	True	-
newValue	Number	True	-

Round

Rounds a value (or values if table) to the nearest integer or to the specified number of fractional digits.

• Round(input, digits)

Returns the rounded number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-
digits	Number	True	Input, Number

Satoshi

Enumeration, returns 1 Satoshi (=Epsilon).

• Satoshi

Returns 1 Satoshi (=Epsilon).

Return Type: Number

Sd

Calculates the Standard Deviation from the data series.

• Sd(input)

Returns the Standard Deviation.

Return Type: Number

Parameter Name	Parameter Type	Required	Suggested
input	ListNumbers	True	NewArray, ClosePrices

Sign

Calculates an integer that indicates the sign of a number.

• Sign(input)

Returns an integer that indicates the sign of a number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Sin

Calculates the sine of the specified angle.

• Sin(input)

Returns the sine of the specified angle.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Sinh

Calculates the hyperbolic sine of the specified angle.

• Sinh(input)

Returns the hyperbolic sine of the specified angle.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Sqrt

Calculates the square root of a specified number.

• Sqrt(input)

Returns the square root of a specified number.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Sub

Subtracts numbers/tables and returns the result number/table.

• Sub(input1, input2)

Calculates the subtracted numbers/tables.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	Input, Number
input2	NumberOrTable	True	Input, Number

SubPerc

Subtracts a percentage to the value.

• SubPerc(value, percentage)

Returns the value with the subtracted percentage.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
value	NumberOrTable	True	-
percentage	Number	True	Input, Number, SessionGet

SubPercentage

Subtracts a percentage to the value.

• SubPercentage(value, percentage)

Returns the value with the subtracted percentage.

Return Type: ListNumbers

Parameter Name	Parameter Type	Required	Suggested
value	NumberOrTable	True	-
percentage	Number	True	Input, Number, SessionGet

Sum

Adds numbers/tables and returns the result number/table.

• Sum(input1, [ input2 ])

Returns the total sum of a single value is provide, adds the 2 values if there are 2 provided.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input1	NumberOrTable	True	Input, Number
input2	NumberOrTable	False	Input, Number

Tan

Calculates the tangent of the specified angle.

• Tan(input)

Returns the tangent of the specified angle.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-

Tanh

Calculates the hyperbolic tangent of the specified angle.

• Tanh(input)

Returns the hyperbolic tangent of the specified angle.

Return Type: NumberOrTable

Parameter Name	Parameter Type	Required	Suggested
input	NumberOrTable	True	-