[{"data":1,"prerenderedAt":8785},["ShallowReactive",2],{"kscript:functions/oscillators":3},{"slug":4,"filePath":5,"frontmatter":6,"rawMarkdown":9,"tree":10},"functions/oscillators","functions/oscillators.md",{"title":7,"description":8},"Oscillators","Momentum and volume oscillators — RSI, WPR, CMO, TSI, MACD, Stochastic, CCI, MFI, Momentum, ADX, and OBV.","---\ntitle: Oscillators\ndescription: Momentum and volume oscillators — RSI, WPR, CMO, TSI, MACD, Stochastic, CCI, MFI, Momentum, ADX, and OBV.\n---\n\nOscillators measure momentum, overbought/oversold pressure, and trend strength. Most return a single stream; a few return several. The multi-output ones expose **named streams** so you can plot or test each component on its own instead of indexing into an array: `macd.macd` / `.signal` / `.histogram`, `stoch.k` / `.d`, `adx` as `[ADX, DI+, DI-]`.\n\nEvery oscillator needs a warmup window. Until enough bars have loaded to fill its longest period, the value is `na` and nothing plots. RSI(14) is `na` for its seed window; MACD warms up over the slow EMA plus the signal period; ADX takes longest because it smooths directional movement twice. This is expected: leading bars are blank, then the line begins.\n\n## Reference\n\n### rsi\n\n`rsi(source, period?)` — Relative Strength Index, bounded 0–100.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | Price series (usually close) |\n| `period` | number | Lookback (default `14`) |\n\nReturns a single stream. Warmup is roughly `period` bars.\n\n```javascript\nvar rsiValue = rsi(source=close, period=14)\n```\n### wpr\n\n`wpr(length, source)` — Williams %R over an OHLC source. Pass `source` explicitly.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `length` | number | High/low lookback |\n| `source` | TimeSeries | OHLC source |\n\n```javascript\nvar wprValue = wpr(length=14, source=trade)\n```\n### cmo\n\n`cmo(source, length)` — Chande Momentum Oscillator. It compares summed gains and losses over the lookback and returns `0` when `up + down == 0`.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | Price series |\n| `length` | number | Momentum lookback |\n\n```javascript\nvar cmoValue = cmo(source=close, length=14)\n```\n### tsi\n\n`tsi(source, short, long)` — True Strength Index. It double-smooths momentum and absolute momentum, then returns their ratio.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | Price series |\n| `short` | number | Short smoothing length |\n| `long` | number | Long smoothing length |\n\n```javascript\nvar tsiValue = tsi(source=close, short=13, long=25)\n```\n### macd\n\n`macd(source, fastPeriod?, slowPeriod?, signalPeriod?)` — Moving Average Convergence Divergence.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | Price series |\n| `fastPeriod` | number | Fast EMA (default `12`) |\n| `slowPeriod` | number | Slow EMA (default `26`) |\n| `signalPeriod` | number | Signal EMA (default `9`) |\n\nReturns `[MACD, Signal, Histogram]`, with named streams `.macd`, `.signal`, `.histogram`. Warmup runs over the slow EMA plus the signal period before the histogram settles. Plot the histogram against a zero baseline, or test `crossover(m.macd, m.signal)` for the classic signal-line cross.\n\n```javascript\nvar m = macd(source=close, fastPeriod=12, slowPeriod=26, signalPeriod=9)\nplotLine(value=m.macd, colors=[\"#2563eb\"], width=2, label=[\"MACD\"], desc=[\"MACD line\"])\nplotLine(value=m.signal, colors=[\"#f97316\"], width=2, label=[\"Signal\"], desc=[\"signal line\"])\n```\n### stoch\n\n`stoch(periodK?, smoothK?, periodD?)` — Stochastic oscillator over the chart's OHLC.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `periodK` | number | %K lookback (default `14`) |\n| `smoothK` | number | %K smoothing (default `3`) |\n| `periodD` | number | %D smoothing (default `3`) |\n\nReturns `[%K, %D]`, named `.k` and `.d`. Both are bounded 0–100. This form reads OHLC implicitly; pass no source.\n\n```javascript\nvar s = stoch(periodK=14, smoothK=3, periodD=3)\nplotLine(value=s.k, colors=[\"#0891b2\"], width=2, label=[\"%K\"], desc=[\"stochastic %K\"])\nplotLine(value=s.d, colors=[\"#be123c\"], width=2, label=[\"%D\"], desc=[\"stochastic %D\"])\n```\n### stochastic\n\n`stochastic(source, kPeriod?, kSmoothing?, dPeriod?)` — the explicit-source variant of the stochastic.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | OHLC series to read high/low/close from |\n| `kPeriod` | number | %K lookback (default `14`) |\n| `kSmoothing` | number | %K smoothing (default `3`) |\n| `dPeriod` | number | %D smoothing (default `3`) |\n\nSame math as `stoch`, but you hand it the source explicitly. Use this when you want the stochastic of a series you already opened.\n\n```javascript\nvar s = stochastic(source=trade, kPeriod=14, kSmoothing=3, dPeriod=3)\n```\n### cci\n\n`cci(source, period?, constant?)` — Commodity Channel Index, oscillating around zero.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | OHLC series |\n| `period` | number | Lookback (default `20`) |\n| `constant` | number | Scaling constant (default `0.015`) |\n\nReturns a single stream. Readings beyond +100 / −100 mark momentum extremes.\n\n```javascript\nvar cciValue = cci(source=trade, period=20, constant=0.015)\n```\n### mfi\n\n`mfi(source, period?)` — Money Flow Index, a volume-weighted RSI bounded 0–100.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | OHLC series (needs volume) |\n| `period` | number | Lookback (default `14`) |\n\nReturns a single stream. Like RSI but it weights each bar by volume, so it reads pressure rather than price alone.\n\n```javascript\nvar mfiValue = mfi(source=trade, period=14)\n```\n### mom\n\n`mom(source, n?)` — Momentum, the raw difference between the current value and the value `n` bars ago.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | Price series |\n| `n` | number | Bars back to compare (default `10`) |\n\nReturns a single stream centered on zero. Positive means price is above where it was `n` bars ago.\n\n```javascript\nvar momValue = mom(source=close, n=10)\n```\n### adx\n\n`adx(source, period?)` — Average Directional Index, plus the directional indicators.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | OHLC series |\n| `period` | number | Lookback (default `14`) |\n\nReturns `[ADX, DI+, DI-]`. ADX measures trend strength regardless of direction (above 25 is a strong trend, below 20 is a range); DI+ over DI− signals upward directional pressure. ADX warms up the slowest of the oscillators here because it smooths directional movement twice.\n\n```javascript\nvar a = adx(source=trade, period=14)\nplotLine(value=a, colors=[\"#111827\", \"#2563eb\", \"#dc2626\"], width=1, label=[\"ADX\"], desc=[\"ADX, DI+, DI-\"])\n```\n### obv\n\n`obv(source)` — On-Balance Volume, a running cumulative volume line.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | OHLC series (needs volume) |\n\nReturns a single cumulative stream with no period. It adds the bar's volume on up bars and subtracts it on down bars, so its slope tracks whether volume confirms price.\n\n```javascript\nvar obvValue = obv(source=trade)\n```\n## Putting them together\n\nOne script wiring every oscillator above, including the named-stream accessors for MACD and Stochastic. Note that multi-output indicators can be plotted whole (pass the array) or one stream at a time (pass `.macd`, `.k`, and so on).\n\n```javascript title=\"all_oscillators.ks\"\n//@version=2\ndefine(title=\"Oscillators\", position=\"offchart\", axis=true)\n\ntimeseries trade = ohlcv(symbol=currentSymbol, exchange=currentExchange)\ntimeseries closeSeries = trade.close\n\nvar rsiValue = rsi(source=closeSeries, period=14)\nvar macdValue = macd(source=closeSeries, fastPeriod=12, slowPeriod=26, signalPeriod=9)\nvar stochValue = stoch(periodK=14, smoothK=3, periodD=3)\nvar stochasticValue = stochastic(source=trade, kPeriod=14, kSmoothing=3, dPeriod=3)\nvar cciValue = cci(source=trade, period=20, constant=0.015)\nvar mfiValue = mfi(source=trade, period=14)\nvar momValue = mom(source=closeSeries, n=10)\nvar adxValue = adx(source=trade, period=14)\nvar obvValue = obv(source=trade)\n\nplotLine(value=rsiValue, colors=[\"#7c3aed\"], width=2, label=[\"RSI\"], desc=[\"14 period relative strength index\"])\nplotLine(value=macdValue, colors=[\"#2563eb\", \"#f97316\", \"#16a34a\"], width=1, label=[\"MACD output\"], desc=[\"MACD multi output\"])\nplotLine(value=macdValue.macd, colors=[\"#1d4ed8\"], width=2, label=[\"MACD named\"], desc=[\"macd.macd named stream\"])\nplotLine(value=macdValue.signal, colors=[\"#ea580c\"], width=2, label=[\"Signal named\"], desc=[\"macd.signal named stream\"])\nplotLine(value=macdValue.histogram, colors=[\"#15803d\"], width=2, label=[\"Histogram named\"], desc=[\"macd.histogram named stream\"])\nplotLine(value=stochValue, colors=[\"#0891b2\", \"#be123c\"], width=1, label=[\"Stoch output\"], desc=[\"Stoch multi output\"])\nplotLine(value=stochValue.k, colors=[\"#0e7490\"], width=2, label=[\"K named\"], desc=[\"stoch.k named stream\"])\nplotLine(value=stochValue.d, colors=[\"#be123c\"], width=2, label=[\"D named\"], desc=[\"stoch.d named stream\"])\nplotLine(value=stochasticValue, colors=[\"#0f766e\", \"#b45309\"], width=1, label=[\"Stochastic output\"], desc=[\"stochastic multi output\"])\nplotLine(value=cciValue, colors=[\"#4b5563\"], width=2, label=[\"CCI\"], desc=[\"20 period commodity channel index\"])\nplotLine(value=mfiValue, colors=[\"#16a34a\"], width=2, label=[\"MFI\"], desc=[\"14 period money flow index\"])\nplotLine(value=momValue, colors=[\"#9333ea\"], width=2, label=[\"Momentum\"], desc=[\"10 period momentum\"])\nplotLine(value=adxValue, colors=[\"#111827\", \"#2563eb\", \"#dc2626\"], width=1, label=[\"ADX output\"], desc=[\"ADX multi output\"])\nplotLine(value=obvValue, colors=[\"#0f766e\"], width=2, label=[\"OBV\"], desc=[\"on balance volume\"])\n```\n\n## Pine-parity oscillators\n\nThis script wires `wpr`, `cmo`, and `tsi` together. Two extra lines make their edge behavior visible: WPR stays `na` until its length window fills, and CMO returns `0` on a flat series, where the summed gains and losses are both zero.\n\n```javascript title=\"wpr_cmo_tsi.ks\"\n//@version=2\ndefine(title=\"WPR CMO TSI\", position=\"offchart\", axis=true)\n\ntimeseries trade = ohlcv(symbol=currentSymbol, exchange=currentExchange)\ntimeseries closeSeries = trade.close\ntimeseries flatSeries = closeSeries - closeSeries + 100\n\nvar wprValue = wpr(length=14, source=trade)\nvar cmoValue = cmo(source=closeSeries, length=14)\nvar tsiValue = tsi(source=closeSeries, short=13, long=25)\nvar cmoFlat = cmo(source=flatSeries, length=5)\nvar wprWarmupCheck = (barIndex \u003C 13 && isna(wprValue)) || (barIndex >= 13 && isnum(wprValue)) ? closeSeries : na\nvar cmoFlatCheck = barIndex >= 5 && cmoFlat == 0 ? closeSeries : na\n\nplotLine(value=wprValue, colors=[\"#2563eb\"], width=2, label=[\"WPR\"], desc=[\"14 period Williams percent R\"])\nplotLine(value=cmoValue, colors=[\"#16a34a\"], width=2, label=[\"CMO\"], desc=[\"14 period Chande Momentum Oscillator\"])\nplotLine(value=tsiValue, colors=[\"#7c3aed\"], width=2, label=[\"TSI\"], desc=[\"True Strength Index short 13 long 25\"])\nplotLine(value=wprWarmupCheck, colors=[\"#dc2626\"], width=2, label=[\"WPR warmup\"], desc=[\"Williams percent R is na until its length window is ready\"])\nplotLine(value=cmoFlatCheck, colors=[\"#ea580c\"], width=2, label=[\"CMO flat\"], desc=[\"CMO returns zero when up plus down equals zero\"])\n```\n\n## Warmup in practice\n\nTo see warmup directly, plot a few oscillators and watch where each line begins. The leading gap is the seed window: each line stays blank until its longest period has enough bars, then turns finite. ADX starts last, RSI and Stochastic start earliest.\n\n```javascript title=\"warmup_boundary.ks\"\n//@version=2\ndefine(title=\"Oscillator Warmup Boundary\", position=\"offchart\", axis=true)\n\ntimeseries trade = ohlcv(symbol=currentSymbol, exchange=currentExchange)\ntimeseries closeSeries = trade.close\n\nvar rsiValue = rsi(source=closeSeries, period=14)\nvar macdValue = macd(source=closeSeries, fastPeriod=12, slowPeriod=26, signalPeriod=9)\nvar stochValue = stoch(periodK=14, smoothK=3, periodD=3)\nvar adxValue = adx(source=trade, period=14)\n\nplotLine(value=rsiValue, colors=[\"#7c3aed\"], width=2, label=[\"RSI\"], desc=[\"RSI finite values begin after its seed window\"])\nplotLine(value=macdValue.macd, colors=[\"#2563eb\"], width=2, label=[\"MACD\"], desc=[\"macd.macd finite values begin after its seed window\"])\nplotLine(value=stochValue.k, colors=[\"#0891b2\"], width=2, label=[\"Stoch K\"], desc=[\"stoch.k finite values begin after its seed window\"])\nplotLine(value=adxValue.adx, colors=[\"#111827\"], width=2, label=[\"ADX\"], desc=[\"adx.adx finite values begin after its seed window\"])\n```\n",{"type":11,"children":12,"data":8779,"position":8781},"root",[13,193,195,249,250,269,270,287,288,316,318,538,539,573,574,641,642,656,657,702,703,878,879,935,936,950,951,1015,1016,1188,1189,1243,1244,1258,1259,1286,1288,1517,1518,1587,1588,1602,1603,1631,1633,1970,1971,2077,2078,2335,2336,2351,2352,2379,2380,2658,2659,2727,2728,2968,2969,2984,2985,3013,3014,3343,3344,3376,3377,3456,3457,3472,3473,3500,3501,3763,3764,3777,3778,3845,3846,3861,3862,3887,3888,4074,4075,4089,4090,4143,4144,4159,4160,4205,4206,4394,4395,4424,4425,4479,4480,4494,4495,4521,4522,4709,4710,4740,4741,4896,4897,4912,4913,4939,4941,5059,5060,5073,5074,5115,5116,5132,5133,5185,5186,7017,7018,7034,7035,7136,7137,8074,8075,8091,8092,8107,8108],{"type":14,"tagName":15,"properties":16,"children":17,"position":190},"element","p",{},[18,28,46,53,67,74,87,93,106,113,126,132,145,151,164,171,184],{"type":19,"value":20,"position":21},"text","Oscillators measure momentum, overbought/oversold pressure, and trend strength. Most return a single stream; a few return several. The multi-output ones expose ",{"start":22,"end":25},{"line":23,"column":23,"offset":24},1,0,{"line":23,"column":26,"offset":27},161,160,{"type":14,"tagName":29,"properties":30,"children":31,"position":41},"strong",{},[32],{"type":19,"value":33,"position":34},"named streams",{"start":35,"end":38},{"line":23,"column":36,"offset":37},163,162,{"line":23,"column":39,"offset":40},176,175,{"start":42,"end":43},{"line":23,"column":26,"offset":27},{"line":23,"column":44,"offset":45},178,177,{"type":19,"value":47,"position":48}," so you can plot or test each component on its own instead of indexing into an array: ",{"start":49,"end":50},{"line":23,"column":44,"offset":45},{"line":23,"column":51,"offset":52},264,263,{"type":14,"tagName":54,"properties":55,"children":56,"position":64},"code",{},[57],{"type":19,"value":58,"position":59},"macd.macd",{"start":60,"end":61},{"line":23,"column":51,"offset":52},{"line":23,"column":62,"offset":63},275,274,{"start":65,"end":66},{"line":23,"column":51,"offset":52},{"line":23,"column":62,"offset":63},{"type":19,"value":68,"position":69}," / ",{"start":70,"end":71},{"line":23,"column":62,"offset":63},{"line":23,"column":72,"offset":73},278,277,{"type":14,"tagName":54,"properties":75,"children":76,"position":84},{},[77],{"type":19,"value":78,"position":79},".signal",{"start":80,"end":81},{"line":23,"column":72,"offset":73},{"line":23,"column":82,"offset":83},287,286,{"start":85,"end":86},{"line":23,"column":72,"offset":73},{"line":23,"column":82,"offset":83},{"type":19,"value":68,"position":88},{"start":89,"end":90},{"line":23,"column":82,"offset":83},{"line":23,"column":91,"offset":92},290,289,{"type":14,"tagName":54,"properties":94,"children":95,"position":103},{},[96],{"type":19,"value":97,"position":98},".histogram",{"start":99,"end":100},{"line":23,"column":91,"offset":92},{"line":23,"column":101,"offset":102},302,301,{"start":104,"end":105},{"line":23,"column":91,"offset":92},{"line":23,"column":101,"offset":102},{"type":19,"value":107,"position":108},", ",{"start":109,"end":110},{"line":23,"column":101,"offset":102},{"line":23,"column":111,"offset":112},304,303,{"type":14,"tagName":54,"properties":114,"children":115,"position":123},{},[116],{"type":19,"value":117,"position":118},"stoch.k",{"start":119,"end":120},{"line":23,"column":111,"offset":112},{"line":23,"column":121,"offset":122},313,312,{"start":124,"end":125},{"line":23,"column":111,"offset":112},{"line":23,"column":121,"offset":122},{"type":19,"value":68,"position":127},{"start":128,"end":129},{"line":23,"column":121,"offset":122},{"line":23,"column":130,"offset":131},316,315,{"type":14,"tagName":54,"properties":133,"children":134,"position":142},{},[135],{"type":19,"value":136,"position":137},".d",{"start":138,"end":139},{"line":23,"column":130,"offset":131},{"line":23,"column":140,"offset":141},320,319,{"start":143,"end":144},{"line":23,"column":130,"offset":131},{"line":23,"column":140,"offset":141},{"type":19,"value":107,"position":146},{"start":147,"end":148},{"line":23,"column":140,"offset":141},{"line":23,"column":149,"offset":150},322,321,{"type":14,"tagName":54,"properties":152,"children":153,"position":161},{},[154],{"type":19,"value":155,"position":156},"adx",{"start":157,"end":158},{"line":23,"column":149,"offset":150},{"line":23,"column":159,"offset":160},327,326,{"start":162,"end":163},{"line":23,"column":149,"offset":150},{"line":23,"column":159,"offset":160},{"type":19,"value":165,"position":166}," as ",{"start":167,"end":168},{"line":23,"column":159,"offset":160},{"line":23,"column":169,"offset":170},331,330,{"type":14,"tagName":54,"properties":172,"children":173,"position":181},{},[174],{"type":19,"value":175,"position":176},"[ADX, DI+, DI-]",{"start":177,"end":178},{"line":23,"column":169,"offset":170},{"line":23,"column":179,"offset":180},348,347,{"start":182,"end":183},{"line":23,"column":169,"offset":170},{"line":23,"column":179,"offset":180},{"type":19,"value":185,"position":186},".",{"start":187,"end":188},{"line":23,"column":179,"offset":180},{"line":23,"column":189,"offset":179},349,{"start":191,"end":192},{"line":23,"column":23,"offset":24},{"line":23,"column":189,"offset":179},{"type":19,"value":194},"\n",{"type":14,"tagName":15,"properties":196,"children":197,"position":246},{},[198,207,220,227,239],{"type":19,"value":199,"position":200},"Every oscillator needs a warmup window. Until enough bars have loaded to fill its longest period, the value is ",{"start":201,"end":204},{"line":202,"column":23,"offset":203},3,350,{"line":202,"column":205,"offset":206},112,461,{"type":14,"tagName":54,"properties":208,"children":209,"position":217},{},[210],{"type":19,"value":211,"position":212},"na",{"start":213,"end":214},{"line":202,"column":205,"offset":206},{"line":202,"column":215,"offset":216},116,465,{"start":218,"end":219},{"line":202,"column":205,"offset":206},{"line":202,"column":215,"offset":216},{"type":19,"value":221,"position":222}," and nothing plots. RSI(14) is ",{"start":223,"end":224},{"line":202,"column":215,"offset":216},{"line":202,"column":225,"offset":226},147,496,{"type":14,"tagName":54,"properties":228,"children":229,"position":236},{},[230],{"type":19,"value":211,"position":231},{"start":232,"end":233},{"line":202,"column":225,"offset":226},{"line":202,"column":234,"offset":235},151,500,{"start":237,"end":238},{"line":202,"column":225,"offset":226},{"line":202,"column":234,"offset":235},{"type":19,"value":240,"position":241}," for its seed window; MACD warms up over the slow EMA plus the signal period; ADX takes longest because it smooths directional movement twice. This is expected: leading bars are blank, then the line 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