[{"data":1,"prerenderedAt":9984},["ShallowReactive",2],{"wrun-open-editor-url":3,"indicators:functions/oscillators":4},"https://openmarket.xyz/chart/#wrun-open=v1",{"slug":5,"filePath":6,"frontmatter":7,"rawMarkdown":12,"tree":13},"functions/oscillators","functions/oscillators.md",{"title":8,"description":9,"order":10,"section":11},"Oscillators","Oscillators measure momentum and overbought or oversold pressure. Every oscillator ships with the editor as a stateful class in ./sdk/ta: Rsi, Wpr, Cmo, Tsi…",43,"functions","---\ntitle: \"Oscillators\"\ndescription: \"Oscillators measure momentum and overbought or oversold pressure. Every oscillator ships with the editor as a stateful class in ./sdk/ta: Rsi, Wpr, Cmo, Tsi…\"\norder: 43\nsection: \"functions\"\n---\n\n\u003C!-- source: docs/indicators/functions/oscillators.md; generated by packages/cli/scripts/gen-indicator-docs.ts, do not edit -->\n\n# Oscillators\n\nOscillators measure momentum and overbought or oversold pressure. Every\noscillator ships with the editor as a stateful class in `./sdk/ta`:\n`Rsi`, `Wpr`, `Cmo`, `Tsi`, `Macd`, `Stoch`, `Stochastic`, `Cci`, `Mfi`,\n`Mom`, and `Roc` (the full catalog is on the [TA library](ta-library.md)\npage). Name the ones you use; there is nothing to import. A multi-output\noscillator exposes its streams as fields after `update()` (`macd.signal`,\n`stoch.k`) and each one goes to its own output.\n\nEvery oscillator needs a warm-up window. Until enough bars have loaded to\nfill its longest period the value is `NaN` and nothing draws. `Rsi(14)` is\n`NaN` for its seed window and `Macd` warms up over the slow average plus\nthe signal period. Leading bars are blank, then the line begins. The\ncompiled modules below also fold two classes that live elsewhere: `Adx`,\nwhich takes longest because it smooths directional movement twice, on\n[Trend and volatility](trend-indicators.md#adx), and `Obv` on\n[Volume and VWAP](volume-indicators.md#obv).\n\n## Reference\n\nEvery class allocates in its constructor, never in `update()`, and\n`reset()` restores the just-constructed state. A `period` below 1 is\nclamped to 1. Construct in `onStart()` from a param (params are `f64`,\nperiods are `i32`, so `new Rsi(i32(p_rsi_period()))`).\n\n### Rsi\n\n`new Rsi(period)`, `.update(x)`: the relative strength index, bounded\n0..100. Wilder smoothing (the gain and loss averages of the first `period`\none-bar changes seed it, then `avg = (avg * (period - 1) + gain) / period`),\nfirst value at bar `period`. The ratio step is `100 - 100 / (1 + gain /\nloss)`, and a zero average loss returns `100`: a flat window reads 100,\nnever 50; all-loss reads 0. A non-finite input before the seed restarts the\nseed count; after the seed it makes the value `NaN` for good.\n\n```typescript\nlet rsi = new Rsi(14);\nfunction onStart(): void { rsi = new Rsi(i32(p_rsi_period())); }\n```\n\n### Wpr\n\n`new Wpr(length = 14)`, `.update(high, low, close)`: Williams %R over a\nhigh/low window, `-100 * (highest high - close) / (highest high - lowest\nlow)`, bounded -100..0. `NaN` for the first `length - 1` bars and whenever\nany high or low in the window (or the close) is non-finite; a flat window\n(highest equals lowest) returns `0`.\n\n```typescript\nlet wpr = new Wpr(14);\nfunction onStart(): void { wpr = new Wpr(i32(p_length())); }\n```\n\n### Cmo\n\n`new Cmo(length = 9)`, `.update(x)`: the Chande momentum oscillator\ncompares summed gains and losses over the last `length` one-bar changes,\n`100 * (up - down) / (up + down)`. `NaN` until bar `length` (the first bar\nhas no previous value), `0` when `up + down == 0` (a flat window), and\n`NaN` when any value in the window, or the bar before it, is non-finite.\n\n```typescript\nlet cmo = new Cmo(14);\nfunction onStart(): void { cmo = new Cmo(i32(p_length())); }\n```\n\n### Tsi\n\n`new Tsi(short = 13, long = 25)`, `.update(x)`: the true strength index\ndouble-smooths one-bar momentum and its absolute value with an EMA of\n`long` then an EMA of `short`, and returns their ratio times 100. The\nengine's parameter order is `short` first, then `long`. Each EMA stage\nseeds on the mean of its first `period` finite inputs, so the first value\nlands at bar `long + short - 1`; the ratio is `NaN` when either stage is\nnot finite or the denominator is `0`.\n\n```typescript\nlet tsi = new Tsi(13, 25);\nfunction onStart(): void { tsi = new Tsi(i32(p_short()), i32(p_long())); }\n```\n\n### Macd\n\n`new Macd(fastPeriod = 12, slowPeriod = 26, signalPeriod = 9)`,\n`.update(x)`: returns the MACD line and fills the fields `macd`, `signal`,\nand `hist`. The MACD line is the fast EMA minus the slow EMA, each leg\nseeded on the mean of its first `period` finite inputs (first value at\nbar `slowPeriod - 1`), the signal is an EMA of that line seeded on its first\n`signalPeriod` finite values (first value at bar `slowPeriod + signalPeriod\n- 2`), and `hist` is `macd - signal` when both are finite. A non-finite\ninput after a seed poisons that leg to `NaN`. Draw the histogram as a\n`histogram` output around zero, or test a signal-line cross with\n`Cross.update(macd.macd, macd.signal)` ([Series functions](series-functions.md)).\n\n```typescript\nlet macd = new Macd(12, 26, 9);\nfunction onStart(): void { macd = new Macd(i32(p_fast()), i32(p_slow()), i32(p_signal())); }\n// after macd.update(close): macd.macd, macd.signal, macd.hist\n```\n\n### Stoch and Stochastic\n\n`new Stoch(periodK, smoothK, periodD)`, `.update(high, low, close)`: the\nstochastic oscillator. Raw %K is `100 * (close - lowest low) / (highest high\n- lowest low)` over `periodK` bars (`0` on a flat window, `NaN` while the\nwindow is short or holds a non-finite value), `k` is the strict simple\naverage of the last `smoothK` raw values, and `d` is the same average of the\nlast `periodD` values of `k`. `update()` returns `k`; read `k` and `d` as\nfields. First `k` at bar `periodK + smoothK - 2`, first `d` at bar `periodK\n+ smoothK + periodD - 3`.\n\nTwo spellings with different edge rules ship. `new\nStochastic(kPeriod = 14, kSmoothing = 3, dPeriod = 3)` is the other\none: bars before `kPeriod - 1` report `k = 0`\nand `d = 0` (not `NaN`), a flat window reads `50`, `k` is the raw value\nitself until the smoothing window fills, `d` equals `k` until its own\nwindow fills, and a `NaN` `k` or `d` is reported as `50`. Reach for `Stoch`\nunless you want those edge rules.\n\n```typescript\nlet stoch = new Stoch(14, 3, 3);\nfunction onStart(): void { stoch = new Stoch(i32(p_period_k()), 3, 3); }\n// after stoch.update(high, low, close): stoch.k, stoch.d\n```\n\nBoth read the close as the source. Pine's `ta.stoch(source, high, low,\nlength)` takes any source: `SourceStoch` in `./sdk/ta-plus`\n([Extra indicators](extra-indicators.md)) moves the source into\n`update(source, high, low)` and keeps `Stoch`'s smoothing and fields;\nfed the close it is `Stoch` on every window with a range (on a flat\nwindow `Stoch` reads 0 where `SourceStoch` follows TradingView: the\nprevious raw %K when the source sits on the window's value, `NaN`\notherwise).\n\n```typescript\nlet stochHl2 = new SourceStoch(14, 3, 3);\nfunction onStart(): void { stochHl2 = new SourceStoch(i32(p_period_k()), 3, 3); }\n// in onBar(): stochHl2.update((bar.high() + bar.low()) / 2.0, bar.high(), bar.low()); stochHl2.k, stochHl2.d\n```\n\n### Cci\n\n`new Cci(period = 20, constant = 0.015)`, `.update(high, low, close)`:\nthe commodity channel index over the typical price `(high + low + close) /\n3`, `(tp - sma) / (constant * meanDev)` where `sma` is the window mean of\nthe typical price and `meanDev` the mean absolute deviation around it.\nReadings beyond +100 and -100 mark momentum extremes. `NaN` for the first\n`period - 1` bars; `0` when the mean deviation is `0`.\n\n```typescript\nlet cci = new Cci(20, 0.015);\nfunction onStart(): void { cci = new Cci(i32(p_period()), 0.015); }\n```\n\n### Mfi\n\n`new Mfi(period = 14)`, `.update(high, low, close, volume)`: the money\nflow index, a volume-weighted RSI bounded 0..100. Each bar's raw flow is\n`typical price * volume`, added to the positive sum when the typical price\nrose against the previous bar, to the negative sum when it fell, and to\nneither when equal; the result is `100 - 100 / (1 + positive / negative)`,\nand a zero negative sum returns `100`. `NaN` for the first `period` bars;\na non-finite bar fails both comparisons and adds nothing, as in the\nengine. It needs volume, so pass `bar.volume()` beside the prices. Above\n80 reads overbought and below 20 oversold; price at a new high while the\nindex above 80 is not is a classic exhaustion read.\n\n```typescript\nlet mfi = new Mfi(14);\nfunction onStart(): void { mfi = new Mfi(i32(p_period())); }\n```\n\n### Mom and Roc\n\n`new Roc(n)`, `.update(x)`: rate of change in percent, `((x - x[n]) /\nx[n]) * 100`, `NaN` for the first `n` bars and when the lagged value is\n`0`. `new Mom(n)`, `.update(x)`: momentum, the raw difference `x - x[n]`,\n`NaN` for the first `n` bars and when either value is non-finite. `Change`\nis the same math under another name with a one-bar default lag; it lives\nwith the series helpers on\n[Series functions](series-functions.md#trend-extremes-and-counting).\n\n```typescript\nlet mom = new Mom(10);\nlet roc = new Roc(10);\nfunction onStart(): void { mom = new Mom(i32(p_lag())); roc = new Roc(i32(p_lag())); }\n```\n\n## Putting them together\n\nOne module wiring every oscillator above into a lower pane, the\nmulti-output ones (`Macd`, `Stoch`, `Adx`) written stream by stream. Every\nclass is used by name with nothing to import. `onBar()` returns before\nwriting until the slowest line (`Adx`) is warm so every output starts\ntogether; write each value as it comes instead if you want the fast lines\nto appear first, since a `NaN` draws nothing\n([Execution model](../core-concepts/execution-model.md)).\n\n```typescript sample=fn-oscillators\nparam(\"rsi_period\", 14, { min: 2, max: 200 });\nparam(\"fast\", 12, { min: 1, max: 200, description: \"MACD fast EMA\" });\nparam(\"slow\", 26, { min: 2, max: 400, description: \"MACD slow EMA\" });\nparam(\"signal\", 9, { min: 1, max: 200, description: \"MACD signal EMA\" });\nparam(\"adx_period\", 14, { min: 1, max: 200 });\noutput(\"rsi\", line, lower, { color: \"#7c3aed\", width: 2, description: \"Relative strength index\" });\noutput(\"wpr\", line, lower, { color: \"#2563eb\", width: 1, description: \"Williams %R\" });\noutput(\"cmo\", line, lower, { color: \"#16a34a\", width: 1, description: \"Chande momentum oscillator\" });\noutput(\"tsi\", line, lower, { color: \"#9333ea\", width: 1, description: \"True strength index\" });\noutput(\"macd\", line, lower, { color: \"#1d4ed8\", width: 2, description: \"MACD line\" });\noutput(\"signal\", line, lower, { color: \"#ea580c\", width: 2, description: \"MACD signal\" });\noutput(\"hist\", histogram, lower, { color: \"#15803d\", description: \"MACD histogram\" });\noutput(\"stoch_k\", line, lower, { color: \"#0e7490\", width: 2, description: \"Stochastic %K\" });\noutput(\"stoch_d\", line, lower, { color: \"#be123c\", width: 2, description: \"Stochastic %D\" });\noutput(\"cci\", line, lower, { color: \"#4b5563\", width: 1, description: \"Commodity channel index\" });\noutput(\"mfi\", line, lower, { color: \"#16a34a\", width: 2, description: \"Money flow index\" });\noutput(\"mom\", line, lower, { color: \"#9333ea\", width: 1, description: \"Momentum over 10 bars\" });\noutput(\"roc\", line, lower, { color: \"#0891b2\", width: 1, unit: \"%\", description: \"Rate of change over 10 bars\" });\noutput(\"adx\", line, lower, { color: \"#111827\", width: 2, description: \"Average directional index\" });\noutput(\"di_plus\", line, lower, { color: \"#2563eb\", width: 1, description: \"+DI\" });\noutput(\"di_minus\", line, lower, { color: \"#dc2626\", width: 1, description: \"-DI\" });\noutput(\"obv\", line, lower, { color: \"#0f766e\", width: 1, description: \"On-balance volume\" });\n\nlet rsi = new Rsi(14);\nlet wpr = new Wpr(14);\nlet cmo = new Cmo(14);\nlet tsi = new Tsi(13, 25);\nlet macd = new Macd(12, 26, 9);\nlet stoch = new Stoch(14, 3, 3);\nlet cci = new Cci(20, 0.015);\nlet mfi = new Mfi(14);\nlet mom = new Mom(10);\nlet roc = new Roc(10);\nlet adx = new Adx(14);\nlet obv = new Obv();\n\nfunction onStart(): void {\n  rsi = new Rsi(i32(p_rsi_period()));\n  wpr = new Wpr(14);\n  cmo = new Cmo(14);\n  tsi = new Tsi(13, 25);\n  macd = new Macd(i32(p_fast()), i32(p_slow()), i32(p_signal()));\n  stoch = new Stoch(14, 3, 3);\n  cci = new Cci(20, 0.015);\n  mfi = new Mfi(14);\n  mom = new Mom(10);\n  roc = new Roc(10);\n  adx = new Adx(i32(p_adx_period()));\n  obv = new Obv();\n}\n\nfunction onBar(): void {\n  const close = bar.close();\n  const high = bar.high();\n  const low = bar.low();\n  const volume = bar.volume();\n  const rsiValue = rsi.update(close);\n  const wprValue = wpr.update(high, low, close);\n  const cmoValue = cmo.update(close);\n  const tsiValue = tsi.update(close);\n  macd.update(close);\n  stoch.update(high, low, close);\n  const cciValue = cci.update(high, low, close);\n  const mfiValue = mfi.update(high, low, close, volume);\n  const momValue = mom.update(close);\n  const rocValue = roc.update(close);\n  adx.update(high, low, close);\n  const obvValue = obv.update(close, volume);\n  // ADX is the slowest line here; return before writing until it is warm so every output begins together.\n  if (isNaN(adx.adx)) return;\n  out_rsi(rsiValue);\n  out_wpr(wprValue);\n  out_cmo(cmoValue);\n  out_tsi(tsiValue);\n  out_macd(macd.macd);\n  out_signal(macd.signal);\n  out_hist(macd.hist);\n  out_stoch_k(stoch.k);\n  out_stoch_d(stoch.d);\n  out_cci(cciValue);\n  out_mfi(mfiValue);\n  out_mom(momValue);\n  out_roc(rocValue);\n  out_adx(adx.adx);\n  out_di_plus(adx.plusDi);\n  out_di_minus(adx.minusDi);\n  out_obv(obvValue);\n}\n```\n\n## Edge behavior: Wpr, Cmo, Tsi\n\nTwo edges are worth seeing: %R is `NaN` until its window fills, and CMO\nreturns `0` on a flat series. One module shows both with the shipped\nclasses. `flat` is a series held at 100 on\nevery bar, so its `Cmo` changes are all zero and the class returns `0` once\nits window is full; `wpr_warm` is `1` on the bars where the class has an\nanswer and `0` before, so the boundary is a step you can read off the pane.\n\n```typescript sample=fn-wpr-cmo-tsi\nparam(\"length\", 14, { min: 2, max: 200 });\noutput(\"wpr\", line, lower, { color: \"#2563eb\", width: 2, description: \"Williams %R\" });\noutput(\"cmo\", line, lower, { color: \"#16a34a\", width: 2, description: \"Chande momentum oscillator\" });\noutput(\"tsi\", line, lower, { color: \"#7c3aed\", width: 2, description: \"True strength index, short 13 long 25\" });\noutput(\"wpr_warm\", none, lower, { description: \"1 once %R has a full window, 0 before\" });\noutput(\"cmo_flat\", line, lower, { color: \"#ea580c\", width: 1, description: \"CMO of a flat series: 0 once its window fills\" });\n\nlet wpr = new Wpr(14);\nlet cmo = new Cmo(14);\nlet cmoFlat = new Cmo(5);\nlet tsi = new Tsi(13, 25);\n\nfunction onStart(): void {\n  wpr = new Wpr(i32(p_length()));\n  cmo = new Cmo(i32(p_length()));\n  cmoFlat = new Cmo(5);\n  tsi = new Tsi(13, 25);\n}\n\nfunction onBar(): void {\n  const close = bar.close();\n  const wprValue = wpr.update(bar.high(), bar.low(), close);\n  const cmoValue = cmo.update(close);\n  const cmoFlatValue = cmoFlat.update(100.0);\n  const tsiValue = tsi.update(close);\n  out_wpr(wprValue);\n  out_cmo(cmoValue);\n  out_tsi(tsiValue);\n  out_wpr_warm(isNaN(wprValue) ? 0.0 : 1.0);\n  out_cmo_flat(cmoFlatValue);\n}\n```\n\n## Warm-up in practice\n\nTo see warm-up directly, draw a few oscillators and look at where each line\nbegins. The leading gap is the seed window: each line stays blank until its\nlongest period has enough bars, then turns finite. `Adx` starts last (bar\n`2 * period - 1`), `Rsi` first (bar `period`), `Stoch` at bar `period + 1`\nwith its default smoothing of 3, and `Macd` once its slow EMA is seeded.\nThis module writes every output on every bar (a `NaN` draws nothing)\ninstead of returning early, so the pane shows each line switching on at\nits own bar.\n\n```typescript sample=fn-warmup-boundary\nparam(\"period\", 14, { min: 2, max: 200 });\noutput(\"rsi\", line, lower, { color: \"#7c3aed\", width: 2, description: \"Finite from bar period on\" });\noutput(\"macd\", line, lower, { color: \"#2563eb\", width: 2, description: \"Finite once the slow EMA is seeded\" });\noutput(\"stoch_k\", line, lower, { color: \"#0891b2\", width: 2, description: \"Finite after the %K window plus smoothing\" });\noutput(\"adx\", line, lower, { color: \"#111827\", width: 2, description: \"Finite after two smoothing windows\" });\n\nlet rsi = new Rsi(14);\nlet macd = new Macd(12, 26, 9);\nlet stoch = new Stoch(14, 3, 3);\nlet adx = new Adx(14);\n\nfunction onStart(): void {\n  const period = i32(p_period());\n  rsi = new Rsi(period);\n  macd = new Macd(12, 26, 9);\n  stoch = new Stoch(period, 3, 3);\n  adx = new Adx(period);\n}\n\nfunction onBar(): void {\n  const close = bar.close();\n  const rsiValue = rsi.update(close);\n  macd.update(close);\n  stoch.update(bar.high(), bar.low(), close);\n  adx.update(bar.high(), bar.low(), close);\n  // Every bar has a row; each output carries NaN until its own class is warm.\n  out_rsi(rsiValue);\n  out_macd(macd.macd);\n  out_stoch_k(stoch.k);\n  out_adx(adx.adx);\n}\n```\n\n## Points to remember\n\n- Every oscillator takes the fields it needs as arguments, each one read\n  from the bar (`bar.high()`, `bar.low()`, `bar.close()`, `bar.volume()`);\n  reading a field is what puts it on the sheet.\n- `macd.hist`, `stoch.d`, and the ADX trio are fields on the class and\n  one output each.\n- A MACD divergence (price at a new high while `macd.macd` is not) is a\n  weakening trend; the `hist` output shrinking toward zero says the same\n  thing earlier.\n- Every class here is checked bit-exact against the reference run on the\n  [TA library](ta-library.md) page, edge rules included (`Rsi` at 100 on\n  a flat window, `Stochastic` at 50, `Wpr` and `Cmo` at 0).\n",{"type":14,"children":15,"data":9977,"position":9979},"root",[16,26,29,30,357,358,527,528,544,545,696,697,711,712,864,865,996,997,1010,1011,1124,1125,1233,1234,1247,1248,1413,1414,1521,1522,1535,1536,1721,1722,1858,1859,1874,1875,2031,2032,2172,2173,2344,2345,2360,2361,2405,2406,2712,2713,2736,2737,2999,3000,3151,3152,3351,3352,3500,3501,3514,3515,3701,3702,3828,3829,3843,3844,3995,3996,4103,4104,4119,4120,4354,4355,4535,4536,4551,4552,4692,4693,7535,7536,7551,7552,7708,7709,8630,8631,8646,8647,8801,8802,9662,9663,9678,9679],{"type":17,"value":18,"position":19},"comment"," source: docs/indicators/functions/oscillators.md; generated by packages/cli/scripts/gen-indicator-docs.ts, do not edit ",{"start":20,"end":23},{"line":21,"column":21,"offset":22},1,0,{"line":21,"column":24,"offset":25},128,127,{"type":27,"value":28},"text","\n",{"type":27,"value":28},{"type":31,"tagName":32,"properties":33,"children":34,"position":354},"element","p",{},[35,45,59,66,78,85,98,104,117,123,136,142,155,161,174,180,193,199,212,217,230,236,248,255,268,274,292,300,312,318,330,336,348],{"type":27,"value":36,"position":37},"Oscillators measure momentum and overbought or oversold pressure. 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