sfxCalculusExt

Find Intervals

• Return the ts, interval of a hisGrid
• Side Effects: Lose first ts of hisGrid
• Input: ts, val grid
• Output: Transmuted history grid of ts, interval
• read(temp and discharge).hisRead(yesterday).sfxHisFindIntervals()

Cumulative Integral/Area under the Curve from Rectangle Method Approximation

• Supports a true History Grid with multiple V columns
• Should be exact for COV Points
• Side Effect: Data interpolated
• Input: ts, val*n grid where val*n can be multiple V columns with numbers and/or booleans
• Output: Transmuted history grid of ts, V*n columns
• readAll(temp and discharge).hisRead(yesterday).sfxHisAddRectIntegral()

Cumulative Integral/Area under the Curve from Trapezoid Method Approximation

• Supports a true History Grid with multiple V columns
• Should be exact for Linear Points
• Side Effect: Data interpolated
• Input: ts, val*n grid where val*n can be multiple V columns with numbers and/or booleans
• Output: Transmuted history grid of ts, V*n columns
• readAll(temp and discharge).hisRead(yesterday).sfxHisAddTrapIntegral()

Rolling Delta

• Supports a true History Grid with multiple V columns
• Side Effect: Data interpolated
• Input: ts, val*n grid where val*n can be multiple V columns with numbers
• Output: Transmuted history grid of ts, V*n columns
• Example: Get change between samples
• readAll(temp and discharge).hisRead(yesterday).sfxHisDelta()

Derivative

• Supports a true History Grid with multiple V columns
• Slope going to ts data-point is used as derivative of ts data-point
• Side Effects: Lose first ts of hisGrid; data interpolated
• Input: ts, val*n grid where val*n can be multiple V columns with numbers and/or booleans
• Output: Transmuted history grid of ts, V*n columns
• readAll(temp and discharge).hisRead(yesterday).sfxHisDerivative()

Integral from Rectangle Method Approximation

• Supports a true History Grid with multiple V columns
• Should be exact for COV Points
• Side Effects: Lose first ts of hisGrid; data interpolated
• Input: ts, val*n grid where val*n can be multiple V columns with numbers and/or booleans
• Output: Transmuted history grid of ts, V*n columns
• readAll(temp and discharge).hisRead(yesterday).sfxHisRectIntegral()

Rolling Sum

• Supports a true History Grid with multiple V columns
• Side Effect: Data interpolated
• Input: ts, val*n grid where val*n can be multiple V columns with numbers
• Output: Transmuted history grid of ts, V*n columns
• Example: Turn energy differentials to totalized values
• readAll(temp and discharge).hisRead(yesterday).sfxHisSum()

Integral from Trapezoid Method Approximation

• Supports a true History Grid with multiple V columns
• Should be exact for linear Points
• Side Effects: Lose first ts of hisGrid; data interpolated
• Input: ts, val*n grid where val*n can be multiple V columns with numbers and/or booleans
• Output: Transmuted history grid of ts, V*n columns
• readAll(temp and discharge).hisRead(yesterday).sfxHisTrapIntegral()

Unit Fixing Function

• Function used to fix time units in calculus functions.
• Fixes resultant units
• Inputs: Number with units
• Output: Number with clean units

Function used to convert booleans and fix null units

• Fixes input units
• Inputs: Number or boolean
• Output: Number with units