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taLibrary "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 This version includes the following new functions: aroon(length)   Calculates the values of the Aroon indicator.   Parameters:      length (simple int) : (simple int) Number of bars (length).   Returns: ( [float, float ]) A tuple of the Aroon-Up and Aroon-Down values. coppock(source, longLength, shortLength, smoothLength)   Calculates the value of the Coppock Curve indicator.   Parameters:      source (float) : (series int/float) Series of values to process.      longLength (simple int) : (simple int) Number of bars for the fast ROC value (length).      shortLength (simple int) : (simple int) Number of bars for the slow ROC value (length).      smoothLength (simple int) : (simple int) Number of bars for the weigted moving average value (length).   Returns: (float) The oscillator value. dema(source, length)   Calculates the value of the Double Exponential Moving Average (DEMA).   Parameters:      source (float) : (series int/float) Series of values to process.      length (simple int) : (simple int) Length for the smoothing parameter calculation.   Returns: (float) The double exponentially weighted moving average of the `source`. d​ema2(​src, length)   An alternate ​Double Exponential ​Moving Average (D​ema) function to `d​ema()`, which allows a "series float" length argument.   Parameters:      ​src : (series int/float) Series of values to process.      length : (series int/float) Length for the smoothing parameter calculation.   Returns: (float) The double exponentially ​weighted moving average of the `​src`. dm(length)   Calculates the value of the "Demarker" indicator.   Parameters:      length (simple int) : (simple int) Number of bars (length).   Returns: (float) The oscillator value. donchian(length)   Calculates the values of a Donchian Channel using `high` and `low` over a given `length`.   Parameters:      length (int) : (series int) Number of bars (length).   Returns: ( [float, float, float ]) A tuple containing the channel high, low, and median, respectively. ​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`. eom(length, div)   Calculates the value of the Ease of Movement indicator.   Parameters:      length (simple int) : (simple int) Number of bars (length).      div (simple int) : (simple int) Divisor used for normalzing values. Optional. The default is 10000.   Returns: (float) The oscillator value. frama(source, 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:      source (float) : (series int/float) Series of values to process.      length (int) : (series int) Number of bars (length).   Returns: (float) The fractal adaptive moving average of the `source`. ft(source, length)   Calculates the value of the Fisher Transform indicator.   Parameters:      source (float) : (series int/float) Series of values to process.      length (simple int) : (simple int) Number of bars (length).   Returns: (float) The oscillator value. ht(source)   Calculates the value of the Hilbert Transform indicator.   Parameters:      source (float) : (series int/float) Series of values to process.   Returns: (float) The oscillator value. ichimoku(conLength, baseLength, senkouLength)   Calculates values of the Ichimoku Cloud indicator, including tenkan, kijun, senkouSpan1, senkouSpan2, and chikou. NOTE: offsets forward or backward can be done using the `offset` argument in `plot()`.   Parameters:      conLength (int) : (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 (int) : (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 (int) : (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: ( [float, float, float, float, float ]) A tuple of the Tenkan, Kijun, Senkou Span 1, Senkou Span 2, and Chikou Span values. NOTE: by default, the senkouSpan1 and senkouSpan2 should be plotted 26 periods in the future, and the Chikou Span plotted 26 days in the past. ift(source)   Calculates the value of the Inverse Fisher Transform indicator.   Parameters:      source (float) : (series int/float) Series of values to process.   Returns: (float) The oscillator value. kvo(fastLen, slowLen, trigLen)   Calculates the values of the Klinger Volume Oscillator.   Parameters:      fastLen (simple int) : (simple int) Length for the fast moving average smoothing parameter calculation.      slowLen (simple int) : (simple int) Length for the slow moving average smoothing parameter calculation.      trigLen (simple int) : (simple int) Length for the trigger moving average smoothing parameter calculation.   Returns: ( [float, float ]) A tuple of the KVO value, and the trigger value. pzo(length)   Calculates the value of the Price Zone Oscillator.   Parameters:      length (simple int) : (simple int) Length for the smoothing parameter calculation.   Returns: (float) The oscillator value. rms(source, length)   Calculates the Root Mean Square of the `source` over the `length`.   Parameters:      source (float) : (series int/float) Series of values to process.      length (int) : (series int) Number of bars (length).   Returns: (float) The RMS value. rwi(length)   Calculates the values of the Random Walk Index.   Parameters:      length (simple int) : (simple int) Lookback and ATR smoothing parameter length.   Returns: ( [float, float ]) A tuple of the `rwiHigh` and `rwiLow` values. stc(source, fast, slow, cycle, d1, d2)   Calculates the value of the Schaff Trend Cycle indicator.   Parameters:      source (float) : (series int/float) Series of values to process.      fast (simple int) : (simple int) Length for the MACD fast smoothing parameter calculation.      slow (simple int) : (simple int) Length for the MACD slow smoothing parameter calculation.      cycle (simple int) : (simple int) Number of bars for the Stochastic values (length).      d1 (simple int) : (simple int) Length for the initial %D smoothing parameter calculation.      d2 (simple int) : (simple int) Length for the final %D smoothing parameter calculation.   Returns: (float) The oscillator value. stochFull(periodK, smoothK, periodD)   Calculates the %K and %D values of the Full Stochastic indicator.   Parameters:      periodK (simple int) : (simple int) Number of bars for Stochastic calculation. (length).      smoothK (simple int) : (simple int) Number of bars for smoothing of the %K value (length).      periodD (simple int) : (simple int) Number of bars for smoothing of the %D value (length).   Returns: ( [float, float ]) A tuple of the slow %K and the %D moving average values. stochRsi(lengthRsi, periodK, smoothK, periodD, source)   Calculates the %K and %D values of the Stochastic RSI indicator.   Parameters:      lengthRsi (simple int) : (simple int) Length for the RSI smoothing parameter calculation.      periodK (simple int) : (simple int) Number of bars for Stochastic calculation. (length).      smoothK (simple int) : (simple int) Number of bars for smoothing of the %K value (length).      periodD (simple int) : (simple int) Number of bars for smoothing of the %D value (length).      source (float) : (series int/float) Series of values to process. Optional. The default is `close`.   Returns: ( [float, float ]) A tuple of the slow %K and the %D moving average values. supertrend(factor, atrLength, 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 (float) : (series int/float) Multiplier for the ATR value.      atrLength (simple int) : (simple int) Length for the ATR smoothing parameter calculation.      wicks (simple bool) : (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. szo(source, length)   Calculates the value of the Sentiment Zone Oscillator.   Parameters:      source (float) : (series int/float) Series of values to process.      length (simple int) : (simple int) Length for the smoothing parameter calculation.   Returns: (float) The oscillator value. t3(source, length, vf)   Calculates the value of the Tilson Moving Average (T3).   Parameters:      source (float) : (series int/float) Series of values to process.      length (simple int) : (simple int) Length for the smoothing parameter calculation.      vf (simple float) : (simple float) Volume factor. Affects the responsiveness.   Returns: (float) The Tilson moving average of the `source`. t3Alt(source, length, vf)   An alternate Tilson Moving Average (T3) function to `t3()`, which allows a "series float" `length` argument.   Parameters:      source (float) : (series int/float) Series of values to process.      length (float) : (series int/float) Length for the smoothing parameter calculation.      vf (simple float) : (simple float) Volume factor. Affects the responsiveness.   Returns: (float) The Tilson moving average of the `source`. tema(source, length)   Calculates the value of the Triple Exponential Moving Average (TEMA).   Parameters:      source (float) : (series int/float) Series of values to process.      length (simple int) : (simple int) Length for the smoothing parameter calculation.   Returns: (float) The triple exponentially weighted moving average of the `source`. tema2(source, length)   An alternate Triple Exponential Moving Average (TEMA) function to `tema()`, which allows a "series float" `length` argument.   Parameters:      source (float) : (series int/float) Series of values to process.      length (float) : (series int/float) Length for the smoothing parameter calculation.   Returns: (float) The triple exponentially weighted moving average of the `source`. trima(source, length)   Calculates the value of the Triangular Moving Average (TRIMA).   Parameters:      source (float) : (series int/float) Series of values to process.      length (int) : (series int) Number of bars (length).   Returns: (float) The triangular moving average of the `source`. 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`. trix(source, length, signalLength, exponential)   Calculates the values of the TRIX indicator.   Parameters:      source (float) : (series int/float) Series of values to process.      length (simple int) : (simple int) Length for the smoothing parameter calculation.      signalLength (simple int) : (simple int) Length for smoothing the signal line.      exponential (simple bool) : (simple bool) Condition to determine whether exponential or simple smoothing is used. Optional. The default is `true` (exponential smoothing).   Returns: ( [float, float, float ]) A tuple of the TRIX value, the signal value, and the histogram. uo(fastLen, midLen, slowLen)   Calculates the value of the Ultimate Oscillator.   Parameters:      fastLen (simple int) : (series int) Number of bars for the fast smoothing average (length).      midLen (simple int) : (series int) Number of bars for the middle smoothing average (length).      slowLen (simple int) : (series int) Number of bars for the slow smoothing average (length).   Returns: (float) The oscillator value. vhf(source, length)   Calculates the value of the Vertical Horizontal Filter.   Parameters:      source (float) : (series int/float) Series of values to process.      length (simple int) : (simple int) Number of bars (length).   Returns: (float) The oscillator value. vi(length)   Calculates the values of the Vortex Indicator.   Parameters:      length (simple int) : (simple int) Number of bars (length).   Returns: ( [float, float ]) A tuple of the viPlus and viMinus values. vzo(length)   Calculates the value of the Volume Zone Oscillator.   Parameters:      length (simple int) : (simple int) Length for the smoothing parameter calculation.   Returns: (float) The oscillator value. williamsFractal(period)   Detects Williams Fractals.   Parameters:      period (int) : (series int) Number of bars (length).   Returns: ( [bool, bool ]) A tuple of an up fractal and down fractal. Variables are true when detected. wpo(length)   Calculates the value of the Wave Period Oscillator.   Parameters:      length (simple int) : (simple int) Length for the smoothing parameter calculation.   Returns: (float) The oscillator value. █  v7, Nov. 2, 2023 This version includes the following new and updated functions: atr2(length)   An alternate ATR function to the `ta.atr()` built-in, which allows a "series float" `length` argument.   Parameters:      length (float) : (series int/float) Length for the smoothing parameter calculation.   Returns: (float) The ATR value. changePercent(newValue, oldValue)   Calculates the percentage difference between two distinct values.   Parameters:      newValue (float) : (series int/float) The current value.      oldValue (float) : (series int/float) The previous value.   Returns: (float) The percentage change from the `oldValue` to the `newValue`. donchian(length)   Calculates the values of a Donchian Channel using `high` and `low` over a given `length`.   Parameters:      length (int) : (series int) Number of bars (length).   Returns: ( [float, float, float ]) A tuple containing the channel high, low, and median, respectively. highestSince(cond, source)   Tracks the highest value of a series since the last occurrence of a condition.   Parameters:      cond (bool) : (series bool) A condition which, when `true`, resets the tracking of the highest `source`.      source (float) : (series int/float) Series of values to process. Optional. The default is `high`.   Returns: (float) The highest `source` value since the last time the `cond` was `true`. lowestSince(cond, source)   Tracks the lowest value of a series since the last occurrence of a condition.   Parameters:      cond (bool) : (series bool) A condition which, when `true`, resets the tracking of the lowest `source`.      source (float) : (series int/float) Series of values to process. Optional. The default is `low`.   Returns: (float) The lowest `source` value since the last time the `cond` was `true`. relativeVolume(length, anchorTimeframe, isCumulative, adjustRealtime)   Calculates the volume since the last change in the time value from the `anchorTimeframe`, the historical average volume using bars from past periods that have the same relative time offset as the current bar from the start of its period, and the ratio of these volumes. The volume values are cumulative by default, but can be adjusted to non-accumulated with the `isCumulative` parameter.   Parameters:      length (simple int) : (simple int) The number of periods to use for the historical average calculation.      anchorTimeframe (simple string) : (simple string) The anchor timeframe used in the calculation. Optional. Default is "D".      isCumulative (simple bool) : (simple bool) If `true`, the volume values will be accumulated since the start of the last `anchorTimeframe`. If `false`, values will be used without accumulation. Optional. The default is `true`.      adjustRealtime (simple bool) : (simple bool) If `true`, estimates the cumulative value on unclosed bars based on the data since the last `anchor` condition. Optional. The default is `false`.   Returns: ( [float, float, float ]) A tuple of three float values. The first element is the current volume. The second is the average of volumes at equivalent time offsets from past anchors over the specified number of periods. The third is the ratio of the current volume to the historical average volume. rma2(source, length)   An alternate RMA function to the `ta.rma()` built-in, which allows a "series float" `length` argument.   Parameters:      source (float) : (series int/float) Series of values to process.      length (float) : (series int/float) Length for the smoothing parameter calculation.   Returns: (float) The rolling moving average of the `source`. supertrend2(factor, atrLength, wicks)   An alternate SuperTrend function to `supertrend()`, which allows a "series float" `atrLength` argument.   Parameters:      factor (float) : (series int/float) Multiplier for the ATR value.      atrLength (float) : (series int/float) Length for the ATR smoothing parameter calculation.      wicks (simple bool) : (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. vStop(source, atrLength, atrFactor)   Calculates an ATR-based stop value that trails behind the `source`. Can serve as a possible stop-loss guide and trend identifier.   Parameters:      source (float) : (series int/float) Series of values that the stop trails behind.      atrLength (simple int) : (simple int) Length for the ATR smoothing parameter calculation.      atrFactor (float) : (series int/float) The multiplier of the ATR value. Affects the maximum distance between the stop and the `source` value. A value of 1 means the maximum distance is 100% of the ATR value. Optional. The default is 1.   Returns: ( [float, bool ]) A tuple of the volatility stop value and the trend direction as a "bool". vStop2(source, atrLength, atrFactor)   An alternate Volatility Stop function to `vStop()`, which allows a "series float" `atrLength` argument.   Parameters:      source (float) : (series int/float) Series of values that the stop trails behind.      atrLength (float) : (series int/float) Length for the ATR smoothing parameter calculation.      atrFactor (float) : (series int/float) The multiplier of the ATR value. Affects the maximum distance between the stop and the `source` value. A value of 1 means the maximum distance is 100% of the ATR value. Optional. The default is 1.   Returns: ( [float, bool ]) A tuple of the volatility stop value and the trend direction as a "bool". Removed Functions: allTimeHigh(src)   Tracks the highest value of `src` from the first historical bar to the current bar. allTimeLow(src)   Tracks the lowest value of `src` from the first historical bar to the current bar. trima2(src, length)   An alternate Triangular Moving Average (TRIMA) function to `trima()`, which allows a "series int" length argument.
Pine Script® library
by TradingView
25