PINE LIBRARY
Moving Averages Proxy
Updated
Library "MovingAveragesProxy"
Moving Averages Proxy - Library of all moving averages spread out in different libraries
rvwap(_src, fixedTfInput, minsInput, hoursInput, daysInput, minBarsInput)
Calculates the Rolling VWAP (customized VWAP developed by the team of TradingView)
Parameters:
_src: (float) Source. Default: close
fixedTfInput: (bool) Use a fixed time period. Default: false
minsInput: (int) Minutes. Default: 0
hoursInput: (int) Hours. Default: 0
daysInput: (int) Days. Default: 1
minBarsInput: (int) Bars. Default: 10
Returns: (float) Rolling VWAP
correlationMa(src, len, factor)
Correlation Moving Average
Parameters:
src: (float) Source. Default: close
len: (int) Length
factor: (float) Factor. Default: 1.7
Returns: (float) Correlation Moving Average
regma(src, len, lambda)
Regularized Exponential Moving Average
Parameters:
src: (float) Source. Default: close
len: (int) Length
lambda: (float) Lambda. Default: 0.5
Returns: (float) Regularized Exponential Moving Average
repma(src, len)
Repulsion Moving Average
Parameters:
src: (float) Source. Default: close
len: (int) Length
Returns: (float) Repulsion Moving Average
epma(src, length, offset)
End Point Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
offset: (float) Offset. Default: 4
Returns: (float) End Point Moving Average
lc_lsma(src, length)
1LC-LSMA (1 line code lsma with 3 functions)
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) 1LC-LSMA Moving Average
aarma(src, length)
Adaptive Autonomous Recursive Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Adaptive Autonomous Recursive Moving Average
alsma(src, length)
Adaptive Least Squares
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Adaptive Least Squares
ahma(src, length)
Ahrens Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Ahrens Moving Average
adema(src)
Ahrens Moving Average
Parameters:
src: (float) Source. Default: close
Returns: (float) Moving Average
autol(src, lenDev)
Auto-Line
Parameters:
src: (float) Source. Default: close
lenDev: (int) Length for standard deviation
Returns: (float) Auto-Line
fibowma(src, length)
Fibonacci Weighted Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
fisherlsma(src, length)
Fisher Least Squares Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
leoma(src, length)
Leo Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
linwma(src, period, weight)
Linear Weighted Moving Average
Parameters:
src: (float) Source. Default: close
period: (int) Length
weight: (int) Weight
Returns: (float) Moving Average
mcma(src, length)
McNicholl Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
srwma(src, length)
Square Root Weighted Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
EDSMA(src, len)
Ehlers Dynamic Smoothed Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: EDSMA smoothing.
dema(x, t)
Double Exponential Moving Average.
Parameters:
x: Series to use ('close' is used if no argument is supplied).
t: Lookback length to use.
Returns: DEMA smoothing.
tema(src, len)
Triple Exponential Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: TEMA smoothing.
smma(src, len)
Smoothed Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: SMMA smoothing.
hullma(src, len)
Hull Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: Hull smoothing.
frama(x, t)
Fractal Reactive Moving Average.
Parameters:
x: Series to use ('close' is used if no argument is supplied).
t: Lookback length to use.
Returns: FRAMA smoothing.
kama(x, t)
Kaufman's Adaptive Moving Average.
Parameters:
x: Series to use ('close' is used if no argument is supplied).
t: Lookback length to use.
Returns: KAMA smoothing.
vama(src, len)
Volatility Adjusted Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: VAMA smoothing.
donchian(len)
Donchian Calculation.
Parameters:
len: Lookback length to use.
Returns: Average of the highest price and the lowest price for the specified look-back period.
Jurik(src, len)
Jurik Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: JMA smoothing.
xema(src, len)
Optimized Exponential Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: XEMA smoothing.
ehma(src, len)
EHMA - Exponential Hull Moving Average
Parameters:
src: Source
len: Period
Returns: Exponential Hull Moving Average (EHMA)
covwema(src, len)
Coefficient of Variation Weighted Exponential Moving Average (COVWEMA)
Parameters:
src: Source
len: Period
Returns: Coefficient of Variation Weighted Exponential Moving Average (COVWEMA)
covwma(src, len)
Coefficient of Variation Weighted Moving Average (COVWMA)
Parameters:
src: Source
len: Period
Returns: Coefficient of Variation Weighted Moving Average (COVWMA)
eframa(src, len, FC, SC)
Ehlrs Modified Fractal Adaptive Moving Average (EFRAMA)
Parameters:
src: Source
len: Period
FC: Lower Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
SC: Upper Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
Returns: Ehlrs Modified Fractal Adaptive Moving Average (EFRAMA)
etma(src, len)
Exponential Triangular Moving Average (ETMA)
Parameters:
src: Source
len: Period
Returns: Exponential Triangular Moving Average (ETMA)
rma(src, len)
RMA - RSI Moving average
Parameters:
src: Source
len: Period
Returns: RSI Moving average (RMA)
thma(src, len)
THMA - Triple Hull Moving Average
Parameters:
src: Source
len: Period
Returns: Triple Hull Moving Average (THMA)
vidya(src, len)
Variable Index Dynamic Average (VIDYA)
Parameters:
src: Source
len: Period
Returns: Variable Index Dynamic Average (VIDYA)
zsma(src, len)
Zero-Lag Simple Moving Average (ZSMA)
Parameters:
src: Source
len: Period
Returns: Zero-Lag Simple Moving Average (ZSMA)
zema(src, len)
Zero-Lag Exponential Moving Average (ZEMA)
Parameters:
src: Source
len: Period
Returns: Zero-Lag Exponential Moving Average (ZEMA)
evwma(src, len)
EVWMA - Elastic Volume Weighted Moving Average
Parameters:
src: Source
len: Period
Returns: Elastic Volume Weighted Moving Average (EVWMA)
tt3(src, len, a1_t3)
Tillson T3
Parameters:
src: Source
len: Period
a1_t3: Tillson T3 Volume Factor
Returns: Tillson T3
gma(src, len)
GMA - Geometric Moving Average
Parameters:
src: Source
len: Period
Returns: Geometric Moving Average (GMA)
wwma(src, len)
WWMA - Welles Wilder Moving Average
Parameters:
src: Source
len: Period
Returns: Welles Wilder Moving Average (WWMA)
cma(src, len)
Corrective Moving average (CMA)
Parameters:
src: Source
len: Period
Returns: Corrective Moving average (CMA)
edma(src, len)
Exponentially Deviating Moving Average (MZ EDMA)
Parameters:
src: Source
len: Period
Returns: Exponentially Deviating Moving Average (MZ EDMA)
rema(src, len)
Range EMA (REMA)
Parameters:
src: Source
len: Period
Returns: Range EMA (REMA)
sw_ma(src, len)
Sine-Weighted Moving Average (SW-MA)
Parameters:
src: Source
len: Period
Returns: Sine-Weighted Moving Average (SW-MA)
mama(src, len)
MAMA - MESA Adaptive Moving Average
Parameters:
src: Source
len: Period
Returns: MESA Adaptive Moving Average (MAMA)
fama(src, len)
FAMA - Following Adaptive Moving Average
Parameters:
src: Source
len: Period
Returns: Following Adaptive Moving Average (FAMA)
hkama(src, len)
HKAMA - Hilbert based Kaufman's Adaptive Moving Average
Parameters:
src: Source
len: Period
Returns: Hilbert based Kaufman's Adaptive Moving Average (HKAMA)
getMovingAverage(type, src, len, lsmaOffset, inputAlmaOffset, inputAlmaSigma, FC, SC, a1_t3, fixedTfInput, daysInput, hoursInput, minsInput, minBarsInput, lambda, volumeWeighted, gamma_aarma, smooth, linweight, volatility_lookback, jurik_phase, jurik_power)
Abstract proxy function that invokes the calculation of a moving average according to type
Parameters:
type: (string) Type of moving average
src: (float) Source of series (close, high, low, etc.)
len: (int) Period of loopback to calculate the average
lsmaOffset: (int) Offset for Least Squares MA
inputAlmaOffset: (float) Offset for ALMA
inputAlmaSigma: (float) Sigma for ALMA
FC: (int) Lower Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
SC: (int) Upper Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
a1_t3: (float) Tillson T3 Volume Factor
fixedTfInput: (bool) Use a fixed time period in Rolling VWAP
daysInput: (int) Days in Rolling VWAP
hoursInput: (int) Hours in Rolling VWAP
minsInput: (int) Minutrs in Rolling VWAP
minBarsInput: (int) Bars in Rolling VWAP
lambda: (float) Regularization Constant in Regularized EMA
volumeWeighted: (bool) Apply volume weighted calculation in selected moving average
gamma_aarma: (float) Gamma for Adaptive Autonomous Recursive Moving Average
smooth: (float) Smooth for Adaptive Least Squares
linweight: (float) Weight for Volume Weighted Moving Average
volatility_lookback: (int) Loopback for Volatility Adjusted Moving Average
jurik_phase: (int) Phase for Jurik Moving Average
jurik_power: (int) Power for Jurik Moving Average
Returns: (float) Moving average
Moving Averages Proxy - Library of all moving averages spread out in different libraries
rvwap(_src, fixedTfInput, minsInput, hoursInput, daysInput, minBarsInput)
Calculates the Rolling VWAP (customized VWAP developed by the team of TradingView)
Parameters:
_src: (float) Source. Default: close
fixedTfInput: (bool) Use a fixed time period. Default: false
minsInput: (int) Minutes. Default: 0
hoursInput: (int) Hours. Default: 0
daysInput: (int) Days. Default: 1
minBarsInput: (int) Bars. Default: 10
Returns: (float) Rolling VWAP
correlationMa(src, len, factor)
Correlation Moving Average
Parameters:
src: (float) Source. Default: close
len: (int) Length
factor: (float) Factor. Default: 1.7
Returns: (float) Correlation Moving Average
regma(src, len, lambda)
Regularized Exponential Moving Average
Parameters:
src: (float) Source. Default: close
len: (int) Length
lambda: (float) Lambda. Default: 0.5
Returns: (float) Regularized Exponential Moving Average
repma(src, len)
Repulsion Moving Average
Parameters:
src: (float) Source. Default: close
len: (int) Length
Returns: (float) Repulsion Moving Average
epma(src, length, offset)
End Point Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
offset: (float) Offset. Default: 4
Returns: (float) End Point Moving Average
lc_lsma(src, length)
1LC-LSMA (1 line code lsma with 3 functions)
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) 1LC-LSMA Moving Average
aarma(src, length)
Adaptive Autonomous Recursive Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Adaptive Autonomous Recursive Moving Average
alsma(src, length)
Adaptive Least Squares
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Adaptive Least Squares
ahma(src, length)
Ahrens Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Ahrens Moving Average
adema(src)
Ahrens Moving Average
Parameters:
src: (float) Source. Default: close
Returns: (float) Moving Average
autol(src, lenDev)
Auto-Line
Parameters:
src: (float) Source. Default: close
lenDev: (int) Length for standard deviation
Returns: (float) Auto-Line
fibowma(src, length)
Fibonacci Weighted Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
fisherlsma(src, length)
Fisher Least Squares Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
leoma(src, length)
Leo Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
linwma(src, period, weight)
Linear Weighted Moving Average
Parameters:
src: (float) Source. Default: close
period: (int) Length
weight: (int) Weight
Returns: (float) Moving Average
mcma(src, length)
McNicholl Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
srwma(src, length)
Square Root Weighted Moving Average
Parameters:
src: (float) Source. Default: close
length: (int) Length
Returns: (float) Moving Average
EDSMA(src, len)
Ehlers Dynamic Smoothed Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: EDSMA smoothing.
dema(x, t)
Double Exponential Moving Average.
Parameters:
x: Series to use ('close' is used if no argument is supplied).
t: Lookback length to use.
Returns: DEMA smoothing.
tema(src, len)
Triple Exponential Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: TEMA smoothing.
smma(src, len)
Smoothed Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: SMMA smoothing.
hullma(src, len)
Hull Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: Hull smoothing.
frama(x, t)
Fractal Reactive Moving Average.
Parameters:
x: Series to use ('close' is used if no argument is supplied).
t: Lookback length to use.
Returns: FRAMA smoothing.
kama(x, t)
Kaufman's Adaptive Moving Average.
Parameters:
x: Series to use ('close' is used if no argument is supplied).
t: Lookback length to use.
Returns: KAMA smoothing.
vama(src, len)
Volatility Adjusted Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: VAMA smoothing.
donchian(len)
Donchian Calculation.
Parameters:
len: Lookback length to use.
Returns: Average of the highest price and the lowest price for the specified look-back period.
Jurik(src, len)
Jurik Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: JMA smoothing.
xema(src, len)
Optimized Exponential Moving Average.
Parameters:
src: Series to use ('close' is used if no argument is supplied).
len: Lookback length to use.
Returns: XEMA smoothing.
ehma(src, len)
EHMA - Exponential Hull Moving Average
Parameters:
src: Source
len: Period
Returns: Exponential Hull Moving Average (EHMA)
covwema(src, len)
Coefficient of Variation Weighted Exponential Moving Average (COVWEMA)
Parameters:
src: Source
len: Period
Returns: Coefficient of Variation Weighted Exponential Moving Average (COVWEMA)
covwma(src, len)
Coefficient of Variation Weighted Moving Average (COVWMA)
Parameters:
src: Source
len: Period
Returns: Coefficient of Variation Weighted Moving Average (COVWMA)
eframa(src, len, FC, SC)
Ehlrs Modified Fractal Adaptive Moving Average (EFRAMA)
Parameters:
src: Source
len: Period
FC: Lower Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
SC: Upper Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
Returns: Ehlrs Modified Fractal Adaptive Moving Average (EFRAMA)
etma(src, len)
Exponential Triangular Moving Average (ETMA)
Parameters:
src: Source
len: Period
Returns: Exponential Triangular Moving Average (ETMA)
rma(src, len)
RMA - RSI Moving average
Parameters:
src: Source
len: Period
Returns: RSI Moving average (RMA)
thma(src, len)
THMA - Triple Hull Moving Average
Parameters:
src: Source
len: Period
Returns: Triple Hull Moving Average (THMA)
vidya(src, len)
Variable Index Dynamic Average (VIDYA)
Parameters:
src: Source
len: Period
Returns: Variable Index Dynamic Average (VIDYA)
zsma(src, len)
Zero-Lag Simple Moving Average (ZSMA)
Parameters:
src: Source
len: Period
Returns: Zero-Lag Simple Moving Average (ZSMA)
zema(src, len)
Zero-Lag Exponential Moving Average (ZEMA)
Parameters:
src: Source
len: Period
Returns: Zero-Lag Exponential Moving Average (ZEMA)
evwma(src, len)
EVWMA - Elastic Volume Weighted Moving Average
Parameters:
src: Source
len: Period
Returns: Elastic Volume Weighted Moving Average (EVWMA)
tt3(src, len, a1_t3)
Tillson T3
Parameters:
src: Source
len: Period
a1_t3: Tillson T3 Volume Factor
Returns: Tillson T3
gma(src, len)
GMA - Geometric Moving Average
Parameters:
src: Source
len: Period
Returns: Geometric Moving Average (GMA)
wwma(src, len)
WWMA - Welles Wilder Moving Average
Parameters:
src: Source
len: Period
Returns: Welles Wilder Moving Average (WWMA)
cma(src, len)
Corrective Moving average (CMA)
Parameters:
src: Source
len: Period
Returns: Corrective Moving average (CMA)
edma(src, len)
Exponentially Deviating Moving Average (MZ EDMA)
Parameters:
src: Source
len: Period
Returns: Exponentially Deviating Moving Average (MZ EDMA)
rema(src, len)
Range EMA (REMA)
Parameters:
src: Source
len: Period
Returns: Range EMA (REMA)
sw_ma(src, len)
Sine-Weighted Moving Average (SW-MA)
Parameters:
src: Source
len: Period
Returns: Sine-Weighted Moving Average (SW-MA)
mama(src, len)
MAMA - MESA Adaptive Moving Average
Parameters:
src: Source
len: Period
Returns: MESA Adaptive Moving Average (MAMA)
fama(src, len)
FAMA - Following Adaptive Moving Average
Parameters:
src: Source
len: Period
Returns: Following Adaptive Moving Average (FAMA)
hkama(src, len)
HKAMA - Hilbert based Kaufman's Adaptive Moving Average
Parameters:
src: Source
len: Period
Returns: Hilbert based Kaufman's Adaptive Moving Average (HKAMA)
getMovingAverage(type, src, len, lsmaOffset, inputAlmaOffset, inputAlmaSigma, FC, SC, a1_t3, fixedTfInput, daysInput, hoursInput, minsInput, minBarsInput, lambda, volumeWeighted, gamma_aarma, smooth, linweight, volatility_lookback, jurik_phase, jurik_power)
Abstract proxy function that invokes the calculation of a moving average according to type
Parameters:
type: (string) Type of moving average
src: (float) Source of series (close, high, low, etc.)
len: (int) Period of loopback to calculate the average
lsmaOffset: (int) Offset for Least Squares MA
inputAlmaOffset: (float) Offset for ALMA
inputAlmaSigma: (float) Sigma for ALMA
FC: (int) Lower Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
SC: (int) Upper Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
a1_t3: (float) Tillson T3 Volume Factor
fixedTfInput: (bool) Use a fixed time period in Rolling VWAP
daysInput: (int) Days in Rolling VWAP
hoursInput: (int) Hours in Rolling VWAP
minsInput: (int) Minutrs in Rolling VWAP
minBarsInput: (int) Bars in Rolling VWAP
lambda: (float) Regularization Constant in Regularized EMA
volumeWeighted: (bool) Apply volume weighted calculation in selected moving average
gamma_aarma: (float) Gamma for Adaptive Autonomous Recursive Moving Average
smooth: (float) Smooth for Adaptive Least Squares
linweight: (float) Weight for Volume Weighted Moving Average
volatility_lookback: (int) Loopback for Volatility Adjusted Moving Average
jurik_phase: (int) Phase for Jurik Moving Average
jurik_power: (int) Power for Jurik Moving Average
Returns: (float) Moving average
Release Notes
v2Added:
donchianHighLow(len, bands)
Donchian Calculation with extra parameters.
Originally, the average of the Donchian channel is obtained by adding the tops with the bottoms and dividing the value by 2.
Here this divisor can be customized, not being limited to 2.
Also, in this version the high is caught from the high and the low from low, rather than close
Parameters:
len: Lookback length to use.
bands: Divisor. Default is 2.
Returns: Average of the highest price and the lowest price for the specified look-back period.
Updated:
getMovingAverage(type, src, len, lsmaOffset, inputAlmaOffset, inputAlmaSigma, FC, SC, a1_t3, fixedTfInput, daysInput, hoursInput, minsInput, minBarsInput, lambda, factor, offset_epma, volumeWeighted, gamma_aarma, smooth, linweight, volatility_lookback, jurik_phase, jurik_power, donchianBands)
Abstract proxy function that invokes the calculation of a moving average according to type
Parameters:
type: (string) Type of moving average
src: (float) Source of series (close, high, low, etc.)
len: (int) Period of loopback to calculate the average
lsmaOffset: (int) Offset for Least Squares MA
inputAlmaOffset: (float) Offset for ALMA
inputAlmaSigma: (float) Sigma for ALMA
FC: (int) Lower Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
SC: (int) Upper Shift Limit for Ehlrs Modified Fractal Adaptive Moving Average
a1_t3: (float) Tillson T3 Volume Factor
fixedTfInput: (bool) Use a fixed time period in Rolling VWAP
daysInput: (int) Days in Rolling VWAP
hoursInput: (int) Hours in Rolling VWAP
minsInput: (int) Minutrs in Rolling VWAP
minBarsInput: (int) Bars in Rolling VWAP
lambda: (float) Regularization Constant in Regularized EMA
factor
offset_epma
volumeWeighted: (bool) Apply volume weighted calculation in selected moving average
gamma_aarma: (float) Gamma for Adaptive Autonomous Recursive Moving Average
smooth: (float) Smooth for Adaptive Least Squares
linweight: (float) Weight for Volume Weighted Moving Average
volatility_lookback: (int) Loopback for Volatility Adjusted Moving Average
jurik_phase: (int) Phase for Jurik Moving Average
jurik_power: (int) Power for Jurik Moving Average
donchianBands
Returns: (float) Moving average
Release Notes
v3New parameter for VWAP:
anchor (bool): (bool) The condition that triggers the reset of VWAP calculations.
When true, calculations reset; when false, calculations proceed using the values
accumulated since the previous reset. Optional. The default is equivalent to passing
timeframe.change with "1D" as its argument.
Release Notes
v4Code refactored to improve performance. The improvement in speed can be as much as 50% or more.
So now, to identify the type of moving average, the getMovingAverage function accepts a number (key) corresponding to each type.
The table of keys is in the comment at the beginning of the source code.
The obvious reason is that the integer data type takes up less memory than the string type.
In addition, the getMovingAverageVolume function was created, which works exactly like getMovingAverage, except that it uses the volume (when applicable).
This reduced the number of IFs, reducing the processing required for each situation.
Pine library
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