[{"data":1,"prerenderedAt":4209},["ShallowReactive",2],{"kscript:functions/trend-indicators":3},{"slug":4,"filePath":5,"frontmatter":6,"rawMarkdown":9,"tree":10},"functions/trend-indicators","functions/trend-indicators.md",{"title":7,"description":8},"Trend Indicators","ADX, Ichimoku Cloud, MACD, and Parabolic SAR — trend strength, momentum, and reversal indicators.","---\ntitle: Trend Indicators\ndescription: ADX, Ichimoku Cloud, MACD, and Parabolic SAR — trend strength, momentum, and reversal indicators.\n---\n\nTrend indicators help identify direction and strength, including directional movement systems, trend-following tools, and comprehensive trend analysis frameworks.\n\n| System | Description |\n| --- | --- |\n| **Directional Movement (ADX)** | Measures trend strength using directional indicators. ADX above **25** indicates a strong trend; below **20** often suggests a range. |\n| **Ichimoku Cloud** | Comprehensive trend analysis system for support/resistance, trend direction, and momentum signals. |\n| **Moving Average Convergence Divergence (MACD)** | Trend and momentum system based on moving-average convergence/divergence. |\n| **Parabolic SAR** | Stop-and-reverse indicator that provides dynamic stop levels and trend reversal signals. |\n\n| Function | Description |\n| --- | --- |\n| [`adx`](#adx) | Average Directional Index — trend strength plus +DI/-DI |\n| [`ichimoku`](#ichimoku) | Ichimoku Cloud — multi-component trend system |\n| [`macd`](#macd) | Moving Average Convergence Divergence |\n| [`psar`](#psar) | Parabolic SAR — trailing stop and reverse |\n| [`supertrend`](#supertrend) | ATR trailing stop with direction stream (v3) |\n| [`bb` / `keltner`](#bands) | Bollinger Bands / Keltner Channels as streams (v3) |\n| [`tr` / `atr` / `stdev` / `variance`](#volatility-primitives) | Volatility primitives (v3) |\n\n{% hint style=\"info\" %}\n**v3 accuracy note.** `adx`, `psar`, and `macd` were corrected to their textbook forms (Wilder smoothing for ADX, proper SAR flip/clamp rules, EMA-based MACD) and are reference-validated to `1e-6`. If you pinned exact v2 values, early bars and SAR flip bars differ: see the [v2 → v3 migration](../migrations/v2-vs-v3.md).\n{% endhint %}\n\n\u003Ca id=\"adx\">\u003C/a>\n\n## adx - Average Directional Index\n\n`adx(source: TimeSeries, period?: number = 14): [number, number, number]` — Average Directional Index. Measures trend strength and returns directional movement values.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | Source data series |\n| `period` | number | Number of periods (default: `14`) |\n\n**Returns:** `[number, number, number]` — `[ADX, DI+, DI-]` values.\n\n```javascript\nvar adxData = adx(source=trade, period=14);\n```\n\n\u003Ca id=\"ichimoku\">\u003C/a>\n## ichimoku - Ichimoku Cloud\n\n`ichimoku(source: TimeSeries, conversionPeriod?: number = 9, basePeriod?: number = 26, laggingSpanPeriod?: number = 52, displacement?: number = 26): [number, number, number, number, number]` — Ichimoku Cloud trend analysis.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | Source data series |\n| `conversionPeriod` | number | Tenkan-sen period (default: `9`) |\n| `basePeriod` | number | Kijun-sen period (default: `26`) |\n| `laggingSpanPeriod` | number | Senkou Span B period (default: `52`) |\n| `displacement` | number | Cloud displacement (default: `26`) |\n\n**Returns:** `[number, number, number, number, number]` — `[Tenkan, Kijun, Senkou A, Senkou B, Chikou]` values.\n\n```javascript\nvar ichimokuData = ichimoku(source=trade, conversionPeriod=9, basePeriod=26, laggingSpanPeriod=52, displacement=26);\n```\n\n\u003Ca id=\"macd\">\u003C/a>\n## macd - Moving Average Convergence Divergence\n\n`macd(source: TimeSeries, fastPeriod?: number = 12, slowPeriod?: number = 26, signalPeriod?: number = 9): [number, number, number]` — Moving Average Convergence Divergence.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | Source data series |\n| `fastPeriod` | number | Fast EMA period (default: `12`) |\n| `slowPeriod` | number | Slow EMA period (default: `26`) |\n| `signalPeriod` | number | Signal line period (default: `9`) |\n\n**Returns:** `[number, number, number]` — `[MACD line, Signal line, Histogram]`.\n\n```javascript\nvar macdData = macd(source=trade, fastPeriod=12, slowPeriod=26, signalPeriod=9);\n```\n\n\u003Ca id=\"psar\">\u003C/a>\n## psar - Parabolic SAR\n\n`psar(source: TimeSeries, start?: number = 0.02, increment?: number = 0.02, maxValue?: number = 0.2): number` — Parabolic SAR stop-and-reverse indicator.\n\n| Parameter | Type | Description |\n| --- | --- | --- |\n| `source` | TimeSeries | Source data series |\n| `start` | number | Initial acceleration factor (default: `0.02`) |\n| `increment` | number | Acceleration increment (default: `0.02`) |\n| `maxValue` | number | Maximum acceleration (default: `0.2`) |\n\n**Returns:** `number` — PSAR value for the current bar.\n\n```javascript\nvar psarData = psar(source=trade, start=0.02, increment=0.02, maxValue=0.2);\n```\n\n\u003Ca id=\"supertrend\">\u003C/a>\n## supertrend - ATR trailing stop (v3)\n\n`supertrend(factor?: number = 3, atrPeriod?: number = 10)` — the ATR-banded trailing stop, returned as streams: `.line` (the stop) and `.direction` (`1` long regime, `-1` short regime).\n\n```javascript\n//@version=2\ntimeseries st = supertrend(factor=3, atrPeriod=10)\nplotLine(st.line, colorIndex=st.direction > 0 ? 0 : 1, colors=[\"#16a34a\", \"#dc2626\"], label=[\"SuperTrend\"])\nif (crossover(st.direction, 0)) {\n  plotShape(low, shape=\"arrowUp\", location=\"belowBar\", colors=[\"#16a34a\"], width=4)\n}\n```\n\n\u003Ca id=\"bands\">\u003C/a>\n## bb / keltner - bands as streams (v3)\n\n`bb(source, period?, mult?, priceIndex?)` and `keltner(source, period?, mult?, atrPeriod?, priceIndex?)` return `.basis` / `.upper` / `.lower` streams, ready for [`fillBetween`](plotting.md#fillbetween):\n\n```javascript\n//@version=2\ntimeseries trade = ohlcv(symbol=currentSymbol, exchange=currentExchange);\ntimeseries bands = bb(source=trade.close, period=20, mult=2)\n\nplotLine(bands.upper, colors=[\"#64748b\"], width=1)\nplotLine(bands.lower, colors=[\"#64748b\"], width=1)\nfillBetween(bands.upper, bands.lower, \"#2563eb\", 0.12)\n```\n\n\u003Ca id=\"volatility-primitives\">\u003C/a>\n## tr / atr / stdev / variance - volatility primitives (v3)\n\n| Function | Returns |\n| --- | --- |\n| `tr(source)` | True Range of the current bar |\n| `atr(period?, source?)` | Wilder-smoothed Average True Range |\n| `stdev(source, period?)` | Rolling standard deviation |\n| `variance(source, period?)` | Rolling variance |\n\nThese are the building blocks the band indicators use internally; they are exposed so custom volatility logic composes the same way.\n\n## Best Practices\n\n\u003Ctable data-view=\"cards\">\u003Ctbody>\n\u003Ctr>\u003Ctd>ADX Interpretation\u003C/td>\u003Ctd>ADX above 25 indicates a strong trend. Use +DI/-DI crossovers for direction, but only when ADX is rising for best results.\u003C/td>\u003Ctd>\u003C/td>\u003C/tr>\n\u003Ctr>\u003Ctd>MACD Divergences\u003C/td>\u003Ctd>Watch for divergences between MACD and price. When price makes new highs but MACD does not, trend weakening is likely.\u003C/td>\u003Ctd>\u003C/td>\u003C/tr>\n\u003Ctr>\u003Ctd>Ichimoku Cloud Signals\u003C/td>\u003Ctd>Price above the cloud indicates an uptrend; below the cloud suggests a downtrend. Tenkan-Kijun crossovers provide entry signals, especially when aligned with cloud position.\u003C/td>\u003Ctd>\u003C/td>\u003C/tr>\n\u003Ctr>\u003Ctd>PSAR Parameters\u003C/td>\u003Ctd>Lower acceleration values (`0.01`-`0.02`) provide smoother signals with fewer reversals. Higher values (`0.05`+) are more sensitive but generate more false signals in ranging markets.\u003C/td>\u003Ctd>\u003C/td>\u003C/tr>\n\u003C/tbody>\u003C/table>\n",{"type":11,"children":12,"data":4202,"position":4204},"root",[13,31,33,345,347,846,848,980,981,995,996,1013,1014,1040,1042,1241,1242,1307,1308,1376,1377,1391,1392,1408,1409,1435,1437,1844,1845,1905,1906,1999,2000,2014,2015,2030,2031,2057,2059,2389,2390,2450,2451,2531,2532,2546,2547,2563,2564,2592,2593,2927,2928,2971,2972,3052,3053,3067,3068,3084,3085,3189,3190,3473,3474,3490,3491,3507,3508,3636,3637,3868,3869,3884,3885,3901,3902,4120,4121,4135,4136,4151,4152],{"type":14,"tagName":15,"properties":16,"children":17,"position":28},"element","p",{},[18],{"type":19,"value":20,"position":21},"text","Trend indicators help identify direction and strength, including directional movement systems, trend-following tools, and comprehensive trend analysis frameworks.",{"start":22,"end":25},{"line":23,"column":23,"offset":24},1,0,{"line":23,"column":26,"offset":27},163,162,{"start":29,"end":30},{"line":23,"column":23,"offset":24},{"line":23,"column":26,"offset":27},{"type":19,"value":32},"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n",{"type":14,"tagName":34,"properties":35,"children":36,"position":342},"table",{},[37,87],{"type":14,"tagName":38,"properties":39,"children":40,"position":84},"thead",{},[41],{"type":14,"tagName":42,"properties":43,"children":44,"position":81},"tr",{},[45,64],{"type":14,"tagName":46,"properties":47,"children":48,"position":58},"th",{},[49],{"type":19,"value":50,"position":51},"System",{"start":52,"end":55},{"line":53,"column":53,"offset":54},3,166,{"line":53,"column":56,"offset":57},9,172,{"start":59,"end":61},{"line":53,"column":23,"offset":60},164,{"line":53,"column":62,"offset":63},10,173,{"type":14,"tagName":46,"properties":65,"children":66,"position":76},{},[67],{"type":19,"value":68,"position":69},"Description",{"start":70,"end":73},{"line":53,"column":71,"offset":72},12,175,{"line":53,"column":74,"offset":75},23,186,{"start":77,"end":78},{"line":53,"column":62,"offset":63},{"line":53,"column":79,"offset":80},25,188,{"start":82,"end":83},{"line":53,"column":23,"offset":60},{"line":53,"column":79,"offset":80},{"start":85,"end":86},{"line":53,"column":23,"offset":60},{"line":53,"column":79,"offset":80},{"type":14,"tagName":88,"properties":89,"children":90,"position":339},"tbody",{},[91,191,241,291],{"type":14,"tagName":42,"properties":92,"children":93,"position":188},{},[94,123],{"type":14,"tagName":95,"properties":96,"children":97,"position":117},"td",{},[98],{"type":14,"tagName":99,"properties":100,"children":101,"position":111},"strong",{},[102],{"type":19,"value":103,"position":104},"Directional Movement (ADX)",{"start":105,"end":108},{"line":106,"column":106,"offset":107},5,207,{"line":106,"column":109,"offset":110},31,233,{"start":112,"end":114},{"line":106,"column":53,"offset":113},205,{"line":106,"column":115,"offset":116},33,235,{"start":118,"end":120},{"line":106,"column":23,"offset":119},203,{"line":106,"column":121,"offset":122},34,236,{"type":14,"tagName":95,"properties":124,"children":125,"position":183},{},[126,135,152,159,176],{"type":19,"value":127,"position":128},"Measures trend strength using directional indicators. 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