ta
Library "ta"
█ OVERVIEW
This library holds technical analysis functions calculating values for which no Pine built-in exists.
Look first. Then leap.
█ FUNCTIONS
cagr(entryTime, entryPrice, exitTime, exitPrice)
It calculates the "Compound Annual Growth Rate" between two points in time. The CAGR is a notional, annualized growth rate that assumes all profits are reinvested. It only takes into account the prices of the two end points — not drawdowns, so it does not calculate risk. It can be used as a yardstick to compare the performance of two instruments. Because it annualizes values, the function requires a minimum of one day between the two end points (annualizing returns over smaller periods of times doesn't produce very meaningful figures).
Parameters:
entryTime: The starting timestamp.
entryPrice: The starting point's price.
exitTime: The ending timestamp.
exitPrice: The ending point's price.
Returns: CAGR in % (50 is 50%). Returns `na` if there is not >=1D between `entryTime` and `exitTime`, or until the two time points have not been reached by the script.
█ v2, Mar. 8, 2022
Added functions `allTimeHigh()` and `allTimeLow()` to find the highest or lowest value of a source from the first historical bar to the current bar. These functions will not look ahead; they will only return new highs/lows on the bar where they occur.
allTimeHigh(src)
Tracks the highest value of `src` from the first historical bar to the current bar.
Parameters:
src: (series int/float) Series to track. Optional. The default is `high`.
Returns: (float) The highest value tracked.
allTimeLow(src)
Tracks the lowest value of `src` from the first historical bar to the current bar.
Parameters:
src: (series int/float) Series to track. Optional. The default is `low`.
Returns: (float) The lowest value tracked.
█ v3, Sept. 27, 2022
ema2(src, length)
An alternate ema function to the `ta.ema()` built-in, which allows a "series float" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int/float) Number of bars (length).
Returns: (float) The exponentially weighted moving average of the `src`.
dema(src, length)
Calculates the value of the Double Exponential Moving Average (Dema).
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The double exponentially weighted moving average of the `src`.
dema2(src, length)
An alternate Double Exponential Moving Average (Dema) function to `dema()`, which allows a "series float" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int/float) Number of bars (length).
Returns: (float) The double exponentially weighted moving average of the `src`.
tema(src, length)
Calculates the value of the Triple Exponential Moving Average (Tema).
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The triple exponentially weighted moving average of the `src`.
tema2(src, length)
An alternate Triple Exponential Moving Average (Tema) function to `tema()`, which allows a "series float" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int/float) Number of bars (length).
Returns: (float) The triple exponentially weighted moving average of the `src`.
trima(src, length)
Calculates the value of the Triangular Moving Average (TRIMA).
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The triangular moving average of the `src`.
trima2(src, length)
An alternate Triangular Moving Average (TRIMA) function to `trima()`, which allows a "series int" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int) Number of bars (length).
Returns: (float) The triangular moving average of the `src`.
t3(src, length, alpha)
Calculates the value of the Tilson Moving Average (T3).
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
alpha: (simple float) Volume factor. Affects the responsiveness.
Returns: (float) The tilson moving average of the `src`.
t3Alt(src, length, alpha)
An alternate Tilson Moving Average (T3) function to `t3()`, which allows a "series int" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int/float) Number of bars (length).
alpha: (simple float) Volume factor. Affects the responsiveness.
Returns: (float) The tilson moving average of the `src`.
frama(src, length)
The Fractal Adaptive Moving Average (frama), developed by John Ehlers, is an adaptive moving average that dynamically adjusts its lookback period based on fractal geometry.
Parameters:
src: (series int/float) Series of values to process.
length: (series int) Number of bars (length).
Returns: (float) The fractal adaptive moving average of the `src`.
donchian(length)
Calculates the center point of a donchian Channel of the `high` and `low` over the specified `length`.
Parameters:
length: (series int) Number of bars (length).
Returns: (float) The mid-point of a donchian Channel.
ichimoku(conLength, baseLength, senkouLength)
Calculates values of the Ichimoku Cloud strategy, such as tenkan, kijun, senkouSpan1, senkouSpan2, and chikou. NOTE: offsets forward or backward can be accomplished using the `offset` argument in `plot()`.
Parameters:
conLength: (series int) Length for the Conversion Line (Tenkan). The default is 9 periods, which returns the mid-point of the 9 period donchian Channel.
baseLength: (series int) Length for the Base Line (Kijun-sen). The default is 26 periods, which returns the mid-point of the 26 period donchian Channel.
senkouLength: (series int) Length for the Senkou Span 2 (Leading Span B). The default is 52 periods, which returns the mid-point of the 52 period donchian Channel.
Returns: () A tuple of the Tenkan, Kijun, Senkou Span 1, Senkou Span 2, and Chikou Span values. NOTE: by default, the senkouSpan1 and senkouSpan2 values should be plotted 26 periods in the future, and the Chikou Span plotted 26 days in the past.
stochFull(periodK, smoothK, periodD)
Calculates the %K and %D values of the Full Stochastic indicator.
Parameters:
periodK: (simple int) Length used for stochastic calculation. (number of bars back).
smoothK: (simple int) Length used for smoothing of the %K value (number of bars back).
periodD: (simple int) Length used for smoothing of the %D value (number of bars back).
Returns: () A tuple of the slow %K and the %D moving average values.
stochrsi(lengthRsi, periodK, smoothK, periodD, src)
Calculates the %K and %D values of the Stochastic RSI indicator.
Parameters:
lengthRsi: (simple int) Length used for RSI calculation (number of bars back).
periodK: (simple int) Length used for stochastic calculation (number of bars back).
smoothK: (simple int) Length used for smoothing of the %K value (number of bars back).
periodD: (simple int) Length used for smoothing of the %D value (number of bars back).
src: (series int/float) Series of values to process. Optional. The default is `close`.
Returns: () A tuple of the slow %K and the %D moving average values.
dm(length)
Calculates the value of the Demarker™ indicator.
Parameters:
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
uo(fastLen, midLen, slowLen)
Calculates the value of the Ultimate Oscillator.
Parameters:
fastLen: (simple int) Number of bars for the fast smoothing average (length).
midLen: (simple int) Number of bars for the middle smoothing average (length).
slowLen: (simple int) Number of bars for the slow smoothing average (length).
Returns: (float) The Oscillator value.
kvo(fastLen, slowLen, trigLen)
Calculates the values of the Klinger Volume Oscillator.
Parameters:
fastLen: (simple int) Number of bars for the fast smoothing average (length).
slowLen: (simple int) Number of bars for the slow smoothing average (length).
trigLen: (simple int) Number of bars for the trigger smoothing average (length).
Returns: () A tuple of the KVO value, and the trigger value.
vhf(src, length)
Calculates the value of the Vertical Horizontal filter.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
stc(src, fast, slow, cycle, d1, d2)
Calculates the value of the Schaff Trend Cycle indicator.
Parameters:
src: (series int/float) Series of values to process.
fast: (simple int) Number of bars for the fast MACD value (length).
slow: (simple int) Number of bars for the slow MACD value (length).
cycle: (simple int) Number of bars for the stochastic value (length).
d1: (simple int) Number of bars for the smoothing of the initial %D value (length).
d2: (simple int) Number of bars for the smoothing of the final %D value (length).
Returns: (float) The Oscillator value.
vi(length)
Calculates the values of the Vortex Indicator.
Parameters:
length: (simple int) Number of bars (length).
Returns: () A tuple of the viPlus and viMinus values.
rwi(length)
Calculates the values of the Random Walk Index.
Parameters:
length: (simple int) Number of bars (length).
Returns: () A tuple of the rwiHigh and rwiLow values.
vzo(length)
Calculates the value of the Volume Zone Oscillator.
Parameters:
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
pzo(length)
Calculates the value of the Price Zone Oscillator.
Parameters:
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
szo(src, length)
Calculates the value of the Sentiment Zone Oscillator.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
wpo(length)
Calculates the value of the Wave Period Oscillator.
Parameters:
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
coppock(src, longLength, shortLength, smoothLength)
Calculates the value of the Coppock Curve indicator.
Parameters:
src: (series int/float) Series of values to process.
longLength: (simple int) Number of bars for the fast ROC value (length).
shortLength: (simple int) Number of bars for the slow ROC value (length).
smoothLength: (simple int) Number of bars for the weigted moving average value (length).
Returns: (float) The Oscillator value.
trix(src, length, signalLength, exponential)
Calculates the values of the trix indicator.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars for smoothing (length).
signalLength: (simple int) Number of bars for smoothing the signal line (length).
exponential: (simple bool) Condition to determine whether exponential or simple smoothing is used. Optional. The default is `true` (exponential smoothing).
Returns: () A tuple of the trix value, the signal value, and the histogram.
aroon(length)
Calculates the values of the Aroon indicator.
Parameters:
length: (simple int) Number of bars (length).
Returns: () A tuple of the Aroon-Up and Aroon-Down values.
eom(length, div)
Calculates the value of the ease of Movement indicator.
Parameters:
length: (simple int) Number of bars (length).
div: (simple int) divisor used for normalzing values. Optional. The default is 10000.
Returns: (float) The Oscillator value.
ft(src, length)
Calculates the value of the Fisher transform indicator.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
ift(src)
Calculates the value of the Inverse Fisher transform indicator.
Parameters:
src: (series int/float) Series of values to process.
Returns: (float) The Oscillator value.
ht(src)
Calculates the value of the Hilbert transform indicator.
Parameters:
src: (series int/float) Series of values to process.
Returns: (float) The Oscillator value.
supertrend(factor, atrPeriod, wicks)
Calculates the values of the Supertrend indicator with the ability to take candle wicks into account, rather than only the closing price.
Parameters:
factor: (series int/float) Multiplier for the ATR value.
atrPeriod: (simple int) Number of bars for ATR calculation (length).
wicks: (simple bool) Condition to determine whether to take candle wicks into account when reversing trend, or to use the close price. Optional. Default is false.
Returns: (float, int) A tuple of the superTrend value and trend direction.
rms(src, length)
Calculates the root mean square of the `src` over the `length`.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The rms value.
williamsFractal(period)
Detects Williams Fractals.
Parameters:
period: (series int) Number of bars (length).
Returns: () A tuple of an up fractal and down fractal. Variables are true when detected.
█ OVERVIEW
This library holds technical analysis functions calculating values for which no Pine built-in exists.
Look first. Then leap.
█ FUNCTIONS
cagr(entryTime, entryPrice, exitTime, exitPrice)
It calculates the "Compound Annual Growth Rate" between two points in time. The CAGR is a notional, annualized growth rate that assumes all profits are reinvested. It only takes into account the prices of the two end points — not drawdowns, so it does not calculate risk. It can be used as a yardstick to compare the performance of two instruments. Because it annualizes values, the function requires a minimum of one day between the two end points (annualizing returns over smaller periods of times doesn't produce very meaningful figures).
Parameters:
entryTime: The starting timestamp.
entryPrice: The starting point's price.
exitTime: The ending timestamp.
exitPrice: The ending point's price.
Returns: CAGR in % (50 is 50%). Returns `na` if there is not >=1D between `entryTime` and `exitTime`, or until the two time points have not been reached by the script.
█ v2, Mar. 8, 2022
Added functions `allTimeHigh()` and `allTimeLow()` to find the highest or lowest value of a source from the first historical bar to the current bar. These functions will not look ahead; they will only return new highs/lows on the bar where they occur.
allTimeHigh(src)
Tracks the highest value of `src` from the first historical bar to the current bar.
Parameters:
src: (series int/float) Series to track. Optional. The default is `high`.
Returns: (float) The highest value tracked.
allTimeLow(src)
Tracks the lowest value of `src` from the first historical bar to the current bar.
Parameters:
src: (series int/float) Series to track. Optional. The default is `low`.
Returns: (float) The lowest value tracked.
█ v3, Sept. 27, 2022
ema2(src, length)
An alternate ema function to the `ta.ema()` built-in, which allows a "series float" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int/float) Number of bars (length).
Returns: (float) The exponentially weighted moving average of the `src`.
dema(src, length)
Calculates the value of the Double Exponential Moving Average (Dema).
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The double exponentially weighted moving average of the `src`.
dema2(src, length)
An alternate Double Exponential Moving Average (Dema) function to `dema()`, which allows a "series float" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int/float) Number of bars (length).
Returns: (float) The double exponentially weighted moving average of the `src`.
tema(src, length)
Calculates the value of the Triple Exponential Moving Average (Tema).
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The triple exponentially weighted moving average of the `src`.
tema2(src, length)
An alternate Triple Exponential Moving Average (Tema) function to `tema()`, which allows a "series float" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int/float) Number of bars (length).
Returns: (float) The triple exponentially weighted moving average of the `src`.
trima(src, length)
Calculates the value of the Triangular Moving Average (TRIMA).
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The triangular moving average of the `src`.
trima2(src, length)
An alternate Triangular Moving Average (TRIMA) function to `trima()`, which allows a "series int" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int) Number of bars (length).
Returns: (float) The triangular moving average of the `src`.
t3(src, length, alpha)
Calculates the value of the Tilson Moving Average (T3).
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
alpha: (simple float) Volume factor. Affects the responsiveness.
Returns: (float) The tilson moving average of the `src`.
t3Alt(src, length, alpha)
An alternate Tilson Moving Average (T3) function to `t3()`, which allows a "series int" length argument.
Parameters:
src: (series int/float) Series of values to process.
length: (series int/float) Number of bars (length).
alpha: (simple float) Volume factor. Affects the responsiveness.
Returns: (float) The tilson moving average of the `src`.
frama(src, length)
The Fractal Adaptive Moving Average (frama), developed by John Ehlers, is an adaptive moving average that dynamically adjusts its lookback period based on fractal geometry.
Parameters:
src: (series int/float) Series of values to process.
length: (series int) Number of bars (length).
Returns: (float) The fractal adaptive moving average of the `src`.
donchian(length)
Calculates the center point of a donchian Channel of the `high` and `low` over the specified `length`.
Parameters:
length: (series int) Number of bars (length).
Returns: (float) The mid-point of a donchian Channel.
ichimoku(conLength, baseLength, senkouLength)
Calculates values of the Ichimoku Cloud strategy, such as tenkan, kijun, senkouSpan1, senkouSpan2, and chikou. NOTE: offsets forward or backward can be accomplished using the `offset` argument in `plot()`.
Parameters:
conLength: (series int) Length for the Conversion Line (Tenkan). The default is 9 periods, which returns the mid-point of the 9 period donchian Channel.
baseLength: (series int) Length for the Base Line (Kijun-sen). The default is 26 periods, which returns the mid-point of the 26 period donchian Channel.
senkouLength: (series int) Length for the Senkou Span 2 (Leading Span B). The default is 52 periods, which returns the mid-point of the 52 period donchian Channel.
Returns: () A tuple of the Tenkan, Kijun, Senkou Span 1, Senkou Span 2, and Chikou Span values. NOTE: by default, the senkouSpan1 and senkouSpan2 values should be plotted 26 periods in the future, and the Chikou Span plotted 26 days in the past.
stochFull(periodK, smoothK, periodD)
Calculates the %K and %D values of the Full Stochastic indicator.
Parameters:
periodK: (simple int) Length used for stochastic calculation. (number of bars back).
smoothK: (simple int) Length used for smoothing of the %K value (number of bars back).
periodD: (simple int) Length used for smoothing of the %D value (number of bars back).
Returns: () A tuple of the slow %K and the %D moving average values.
stochrsi(lengthRsi, periodK, smoothK, periodD, src)
Calculates the %K and %D values of the Stochastic RSI indicator.
Parameters:
lengthRsi: (simple int) Length used for RSI calculation (number of bars back).
periodK: (simple int) Length used for stochastic calculation (number of bars back).
smoothK: (simple int) Length used for smoothing of the %K value (number of bars back).
periodD: (simple int) Length used for smoothing of the %D value (number of bars back).
src: (series int/float) Series of values to process. Optional. The default is `close`.
Returns: () A tuple of the slow %K and the %D moving average values.
dm(length)
Calculates the value of the Demarker™ indicator.
Parameters:
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
uo(fastLen, midLen, slowLen)
Calculates the value of the Ultimate Oscillator.
Parameters:
fastLen: (simple int) Number of bars for the fast smoothing average (length).
midLen: (simple int) Number of bars for the middle smoothing average (length).
slowLen: (simple int) Number of bars for the slow smoothing average (length).
Returns: (float) The Oscillator value.
kvo(fastLen, slowLen, trigLen)
Calculates the values of the Klinger Volume Oscillator.
Parameters:
fastLen: (simple int) Number of bars for the fast smoothing average (length).
slowLen: (simple int) Number of bars for the slow smoothing average (length).
trigLen: (simple int) Number of bars for the trigger smoothing average (length).
Returns: () A tuple of the KVO value, and the trigger value.
vhf(src, length)
Calculates the value of the Vertical Horizontal filter.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
stc(src, fast, slow, cycle, d1, d2)
Calculates the value of the Schaff Trend Cycle indicator.
Parameters:
src: (series int/float) Series of values to process.
fast: (simple int) Number of bars for the fast MACD value (length).
slow: (simple int) Number of bars for the slow MACD value (length).
cycle: (simple int) Number of bars for the stochastic value (length).
d1: (simple int) Number of bars for the smoothing of the initial %D value (length).
d2: (simple int) Number of bars for the smoothing of the final %D value (length).
Returns: (float) The Oscillator value.
vi(length)
Calculates the values of the Vortex Indicator.
Parameters:
length: (simple int) Number of bars (length).
Returns: () A tuple of the viPlus and viMinus values.
rwi(length)
Calculates the values of the Random Walk Index.
Parameters:
length: (simple int) Number of bars (length).
Returns: () A tuple of the rwiHigh and rwiLow values.
vzo(length)
Calculates the value of the Volume Zone Oscillator.
Parameters:
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
pzo(length)
Calculates the value of the Price Zone Oscillator.
Parameters:
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
szo(src, length)
Calculates the value of the Sentiment Zone Oscillator.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
wpo(length)
Calculates the value of the Wave Period Oscillator.
Parameters:
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
coppock(src, longLength, shortLength, smoothLength)
Calculates the value of the Coppock Curve indicator.
Parameters:
src: (series int/float) Series of values to process.
longLength: (simple int) Number of bars for the fast ROC value (length).
shortLength: (simple int) Number of bars for the slow ROC value (length).
smoothLength: (simple int) Number of bars for the weigted moving average value (length).
Returns: (float) The Oscillator value.
trix(src, length, signalLength, exponential)
Calculates the values of the trix indicator.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars for smoothing (length).
signalLength: (simple int) Number of bars for smoothing the signal line (length).
exponential: (simple bool) Condition to determine whether exponential or simple smoothing is used. Optional. The default is `true` (exponential smoothing).
Returns: () A tuple of the trix value, the signal value, and the histogram.
aroon(length)
Calculates the values of the Aroon indicator.
Parameters:
length: (simple int) Number of bars (length).
Returns: () A tuple of the Aroon-Up and Aroon-Down values.
eom(length, div)
Calculates the value of the ease of Movement indicator.
Parameters:
length: (simple int) Number of bars (length).
div: (simple int) divisor used for normalzing values. Optional. The default is 10000.
Returns: (float) The Oscillator value.
ft(src, length)
Calculates the value of the Fisher transform indicator.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The Oscillator value.
ift(src)
Calculates the value of the Inverse Fisher transform indicator.
Parameters:
src: (series int/float) Series of values to process.
Returns: (float) The Oscillator value.
ht(src)
Calculates the value of the Hilbert transform indicator.
Parameters:
src: (series int/float) Series of values to process.
Returns: (float) The Oscillator value.
supertrend(factor, atrPeriod, wicks)
Calculates the values of the Supertrend indicator with the ability to take candle wicks into account, rather than only the closing price.
Parameters:
factor: (series int/float) Multiplier for the ATR value.
atrPeriod: (simple int) Number of bars for ATR calculation (length).
wicks: (simple bool) Condition to determine whether to take candle wicks into account when reversing trend, or to use the close price. Optional. Default is false.
Returns: (float, int) A tuple of the superTrend value and trend direction.
rms(src, length)
Calculates the root mean square of the `src` over the `length`.
Parameters:
src: (series int/float) Series of values to process.
length: (simple int) Number of bars (length).
Returns: (float) The rms value.
williamsFractal(period)
Detects Williams Fractals.
Parameters:
period: (series int) Number of bars (length).
Returns: () A tuple of an up fractal and down fractal. Variables are true when detected.
Release Notes:
A myriad of new technical analysis functions have been added. The original release documentation has been edited with the new functions under the "v3" section.
Credit goes to @everget for large portions of the updated code. Thank you for your valuable contributions.
Credit goes to @everget for large portions of the updated code. Thank you for your valuable contributions.
Release Notes:
v4
Updated `aroon()` calculation to match the built-in indicator values.
Updated `aroon()` calculation to match the built-in indicator values.
Release Notes:
v5
The Ultimate Oscillator function has been fixed to correctly return `na` on early bars before a value is rendered. In addition, a function for the Awesome Oscillator has been implemented:
ao(src, shortLength, longLength)
Calculates the value of the Awesome Oscillator.
Parameters:
src
shortLength: (series int) Number of bars for the fast moving average (length).
longLength: (series int) Number of bars for the slow moving average (length).
Returns: (float) The oscillator value.
The Ultimate Oscillator function has been fixed to correctly return `na` on early bars before a value is rendered. In addition, a function for the Awesome Oscillator has been implemented:
ao(src, shortLength, longLength)
Calculates the value of the Awesome Oscillator.
Parameters:
src
shortLength: (series int) Number of bars for the fast moving average (length).
longLength: (series int) Number of bars for the slow moving average (length).
Returns: (float) The oscillator value.
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