[{"data":1,"prerenderedAt":19806},["ShallowReactive",2],{"wrun-open-editor-url":3,"indicators:cookbook/oi-changes":4},"https://openmarket.xyz/chart/#wrun-open=v1",{"slug":5,"filePath":6,"frontmatter":7,"rawMarkdown":12,"tree":13},"cookbook/oi-changes","cookbook/oi-changes.md",{"title":8,"description":9,"order":10,"section":11},"OI changes","Where open interest built and unwound since its prior observation, contract by contract, from the chart's own option chain summary on the newest bar: each…",126,"cookbook","---\ntitle: \"OI changes\"\ndescription: \"Where open interest built and unwound since its prior observation, contract by contract, from the chart's own option chain summary on the newest bar: each…\"\norder: 126\nsection: \"cookbook\"\n---\n\n\u003C!-- source: docs/indicators/cookbook/oi-changes.md; generated by packages/cli/scripts/gen-indicator-docs.ts, do not edit -->\n\n# OI changes\n\nWhere open interest built and unwound since its prior observation, contract by contract, from the chart's own option chain summary on the newest bar: each contract's open interest and the prior observation of it, the day's volume and the quote (the [`option_contract_state`](../core-concepts/data-sources.md#option_contract_state) source, its `oi` and `oi_prev`). A board docked on the price axis reads the change by strike and expiry (one row per strike inside a window around the close, one column per expiry, the nearest first), a table under the chart lists the five largest increases and the five largest decreases, and a card at the bottom of the pane, in the terminal look, leads with the net change and its two sides. The Lens setting turns the board into the change in percent of the prior open interest, the open interest itself, the day's volume, or the net volume (calls minus puts), so the one board answers \"where did positions open\", \"where do they sit\" and \"where did today trade\".\n\nThe parts are a celled `option_contract_state.cells` input read on the live bar ([Data sources](../core-concepts/data-sources.md#us-listed-options-opra)), its `present` bits read with `hasBit()` and `isPartial()` and its option roots spelled from their symbol codes ([The present mask and partial bars](../core-concepts/data-sources.md#the-present-mask-and-partial-bars)), three `plot.matrix` boards over three frames, one per kind of number, of which the lens writes one ([Price canvases](../presentation/price-canvases.md#strike-matrices)), a `panel.table` over a frame of styled cells ([Cards, frames and panels](../presentation/cards-frames-panels.md#table)) and a `render.hud` card with `look: \"terminal\"` ([HUD cards](../presentation/hud-and-hover-cards.md#hud-cards)). This is also the `oi-changes` template: the **OI Changes** card under **HUDs** in the editor's starter list, and it compiles as written.\n\n## The wrun indicator\n\n```typescript sample=oi-changes\n// OI Changes: where open interest built and unwound since its prior observation, contract by contract, from the chart's\n// own option chain summary (the option_contract_state source: each contract's open interest and the prior observation of\n// it, the day's volume and the quote, on the newest bar). A board docked on the price axis reads the change by strike\n// and expiry (or, by the Lens setting, the change in percent of the prior open interest, the open interest itself, the\n// day's volume, or the net volume, calls minus puts), a table under the chart lists the largest increases and decreases\n// (by contracts, or by percent of a prior open interest large enough to mean something), and a card in the terminal look\n// reads the totals: the calls' and the puts' change, the strikes that built and unwound the most, the open interest and\n// the day's volume. A contract without both observations of open interest counts in no change, and the card says how\n// many; a summary the data plane marked partial says so in the title. The summary is a snapshot of now: history bars\n// draw nothing, and everything is measured on the last bar.\n\nsection(\"Board\");\nparam.choice(\"lens\", [\"oi_change\", \"oi_change_pct\", \"oi\", \"volume\", \"net_volume\"], \"oi_change\", { label: \"Lens\", description: \"oi_change: contracts added since the prior observation; oi_change_pct: in percent of the prior OI; oi; volume: the day's; net_volume: calls minus puts\" });\nparam.choice(\"side\", [\"both\", \"calls\", \"puts\"], \"both\", { label: \"Side\", description: \"The contracts the board, the table and the strike totals count; net volume always reads calls minus puts\" });\nparam.int(\"columns\", 6, { min: 1, max: 12, label: \"Expiry columns\", description: \"Expiries on the board, nearest first\" });\nparam.number(\"window_pct\", 5, { min: 1, max: 10, step: 0.5, label: \"Strike window, percent\", description: \"Strikes on the board: percent around the close, each side\" });\nsection(\"Leaders\");\nparam.choice(\"rank\", [\"contracts\", \"percent\"], \"contracts\", { label: \"Rank by\", description: \"The table's order: the change in contracts, or in percent of the prior open interest\" });\nparam.int(\"min_prior_oi\", 100, { min: 1, max: 1000000, label: \"Smallest prior OI for percent\", description: \"A contract ranks by percent only with at least this much prior open interest\" });\ninput(\"close\", ohlcv.close); // the chart's own close: the board's centre\ninput(\"state\", option_contract_state.cells, { max_cells: 24000, expiries: \"nearest:24\", strike_window_pct: 10, description: \"The chart's own option chain summary on the newest bar: the 24 nearest expiries, strikes within 10% of the underlying\" }); // [root_code, expiry_ms, side_cp, strike, bid, ask, last, prev_close, theta, volume_day, oi, oi_prev, present] per contract\nmarket.zone(); // the market's clock: each expiry's trade date\nchart.interval_sec(); // the bar's length: a bar longer than a day names no single day, so no column reads 0DTE\n// The readings, data-only: the card's tiles read them and the Console can too. Each is NaN on history bars.\noutput(\"call_change\", none, overlay, { description: \"The calls' open interest change since the prior observation, contracts; live bar only\" });\noutput(\"put_change\", none, overlay, { description: \"The puts' open interest change, contracts\" });\noutput(\"net_change\", none, overlay, { description: \"Calls' and puts' change together, contracts\" });\noutput(\"total_oi\", none, overlay, { description: \"Open interest of every contract the summary lists, contracts\" });\noutput(\"day_volume\", none, overlay, { description: \"The day's volume of every contract the summary lists, contracts\" });\noutput(\"build_strike\", none, overlay, { description: \"The strike whose open interest grew most, every expiry together, on the Side setting\" });\noutput(\"build_change\", none, overlay, { description: \"That strike's change, contracts\" });\noutput(\"unwind_strike\", none, overlay, { description: \"The strike whose open interest fell most\" });\noutput(\"unwind_change\", none, overlay, { description: \"That strike's change, contracts\" });\noutput(\"counted\", none, overlay, { description: \"Contracts with both observations of open interest\" });\noutput(\"missing\", none, overlay, { description: \"Contracts without both observations, left out of every change\" });\noutput(\"partial\", none, overlay, { description: \"1 when the data plane marked the summary partial, else 0\" });\noutput(\"tone\", none, overlay, { description: \"The headline's colour: 0 net change below zero, 1 none, 2 above zero; live bar only\" });\nstring(\"read\", { max_bytes: 64 }); // the headline: the net change and its two sides, or why there is none\nstring(\"title\", { max_bytes: 96 }); // the card's title: what the summary held\n// The board, one matrix per number kind; only the one the lens picks is written, so the other two stay absent.\nconst change_board = frame(\"change_board\", { max_bytes: 32768 }); // signed counts: the OI change, the net volume\nconst pct_board = frame(\"pct_board\", { max_bytes: 32768 }); // the OI change in percent\nconst size_board = frame(\"size_board\", { max_bytes: 32768 }); // the open interest, the day's volume\nconst leaders = frame(\"leaders\", { max_bytes: 8192 }); // the table: the largest increases, then the largest decreases\nplot.matrix({ name: \"change_matrix\", frame: change_board, dock: \"right\", column_width: 62, row_max_px: 22, price_column: true, header: true, palette: [\"theme.down\", \"theme.bg\", \"theme.up\"], center: 0, scale: \"sqrt\", opacity: 0.95, format: \"si\", signed: true, decimals: 1, font_size: 10, font_weight: \"medium\", align: \"center\", text_color: \"theme.text\", cell_padding: 3, grid_color: \"theme.bg\", grid_width: 2, grid_style: \"solid\", grid_lines: \"all\", highlight_color: \"#f8c000\", label: \"Change by expiry\", tooltip: \"{{column}}: {{value:si}} at {{price}}\" });\nplot.matrix({ name: \"pct_matrix\", frame: pct_board, dock: \"right\", column_width: 62, row_max_px: 22, price_column: true, header: true, palette: [\"theme.down\", \"theme.bg\", \"theme.up\"], center: 0, scale: \"sqrt\", opacity: 0.95, format: \"%\", signed: true, decimals: 0, font_size: 10, font_weight: \"medium\", align: \"center\", text_color: \"theme.text\", cell_padding: 3, grid_color: \"theme.bg\", grid_width: 2, grid_style: \"solid\", grid_lines: \"all\", highlight_color: \"#f8c000\", label: \"Change % by expiry\", tooltip: \"{{column}}: {{value}}% at {{price}}\" });\nplot.matrix({ name: \"size_matrix\", frame: size_board, dock: \"right\", column_width: 62, row_max_px: 22, price_column: true, header: true, palette: [\"theme.bg\", \"theme.up\"], scale: \"sqrt\", opacity: 0.95, format: \"si\", decimals: 1, font_size: 10, font_weight: \"medium\", align: \"center\", text_color: \"theme.text\", cell_padding: 3, grid_color: \"theme.bg\", grid_width: 2, grid_style: \"solid\", grid_lines: \"all\", highlight_color: \"#f8c000\", label: \"Contracts by expiry\", tooltip: \"{{column}}: {{value:si}} at {{price}}\" });\npanel.table({ name: \"oi_leaders\", title: \"Largest open interest changes\", x: \"category\", place: \"below\", frame: leaders, height_frac: 0.22, header_column: true, header_text_color: \"theme.muted\", grid_lines: \"rows\", grid_color: \"theme.grid\", grid_width: 1, valign: \"middle\", cell_padding: 4, font_size: 11, series: [{ name: \"Contract\" }, { name: \"Prior OI\", align: \"right\", format: \"int\" }, { name: \"OI\", align: \"right\", format: \"int\" }, { name: \"Change\", align: \"right\", format: \"int\", signed: true }, { name: \"Change %\", align: \"right\", format: \"0.0\", unit: \"%\" }, { name: \"Volume\", align: \"right\", format: \"int\" }] });\n\n// The card, in the terminal look: the net change leads as the headline, coloured by its sign (violet below zero, slate\n// for none, sky above), then the two sides and the strikes that moved most.\nrender.hud(\"oi_changes\", {\n  position: \"bottom_center\",\n  look: \"terminal\",\n  title: \"{{title}}\",\n  columns: 2,\n  tiles: [\n    tile.pill(\"Open interest\", \"read\", { headline: true, color_by: \"tone\", colors: [\"#a78bfa\", \"#94a3b8\", \"#38bdf8\"] }),\n    tile.value(\"Calls\", \"call_change\", { format: \"si\" }),\n    tile.value(\"Puts\", \"put_change\", { format: \"si\" }),\n    tile.rows([\n      [\"1) Built most at\", \"build_strike\", \"price\"],\n      [\"2) Its change\", \"build_change\", \"si\"],\n      [\"3) Unwound most at\", \"unwind_strike\", \"price\"],\n      [\"4) Its change\", \"unwind_change\", \"si\"],\n      [\"5) Open interest\", \"total_oi\", \"si\"],\n      [\"6) Day volume\", \"day_volume\", \"si\"],\n      [\"7) Without both readings\", \"missing\", \"int\"],\n    ]),\n  ],\n});\n\nconst TUPLE = 13; // f64s per contract: root_code, expiry_ms, side_cp, strike, bid, ask, last, prev_close, theta, volume_day, oi, oi_prev, present\nconst BIT_VOLUME = 9; // present bits: volume_day, oi, oi_prev\nconst BIT_OI = 10;\nconst BIT_OI_PREV = 11;\nconst MAX_ROWS = 128; // strikes on the board (a matrix's row cap)\nconst MAX_COLS = 12; // expiries on the board (the setting's cap)\nconst MAX_EXPIRIES = 64; // distinct expiries the summary may list\nconst MAX_STRIKES = 4096; // distinct strikes kept for the per-strike totals, the nearest the close when more\nconst TOP = 5; // rows each side of the leaders table\nconst OI_CHANGE = 0;\nconst OI_CHANGE_PCT = 1;\nconst OI = 2;\nconst VOLUME = 3;\nconst NET_VOLUME = 4;\nconst LENS_TITLES: String[] = [\"OI change by expiry\", \"OI change % by expiry\", \"Open interest by expiry\", \"Volume by expiry\", \"Net volume by expiry\"];\nconst MONTHS: String[] = [\"JAN\", \"FEB\", \"MAR\", \"APR\", \"MAY\", \"JUN\", \"JUL\", \"AUG\", \"SEP\", \"OCT\", \"NOV\", \"DEC\"];\nconst SYMBOL_CHARS: String[] = [\"0\", \"1\", \"2\", \"3\", \"4\", \"5\", \"6\", \"7\", \"8\", \"9\", \"A\", \"B\", \"C\", \"D\", \"E\", \"F\", \"G\", \"H\", \"I\", \"J\", \"K\", \"L\", \"M\", \"N\", \"O\", \"P\", \"Q\", \"R\", \"S\", \"T\", \"U\", \"V\", \"W\", \"X\", \"Y\", \"Z\", \".\"]; // a symbol code's characters, value 1 to 37\nconst expiryMs = new StaticArray\u003Cf64>(MAX_EXPIRIES); // the listed expiries, ascending\nconst strikePrice = new StaticArray\u003Cf64>(MAX_ROWS); // the board's strikes, ascending\nconst cellA = new StaticArray\u003Cf64>(MAX_ROWS * MAX_COLS); // per cell: the lens's sum (the change, the OI, the volume)\nconst cellB = new StaticArray\u003Cf64>(MAX_ROWS * MAX_COLS); // per cell: the prior open interest, the percent lens's base\nconst cellSeen = new StaticArray\u003Ci32>(MAX_ROWS * MAX_COLS); // 1 where a contract with the lens's readings landed\nconst allStrike = new StaticArray\u003Cf64>(MAX_STRIKES); // every strike with a change, ascending\nconst allChange = new StaticArray\u003Cf64>(MAX_STRIKES); // and its change over every expiry\nconst upAt = new StaticArray\u003Ci32>(TOP); // the largest increases: each contract's offset in the block, and its key\nconst upKey = new StaticArray\u003Cf64>(TOP);\nconst downAt = new StaticArray\u003Ci32>(TOP); // the largest decreases, the most negative first\nconst downKey = new StaticArray\u003Cf64>(TOP);\nconst rootDigits = new StaticArray\u003Ci32>(10); // a root's characters, the last first, while it is spelled\nconst dateClock = new Clock(\"UTC\"); // reads a date from its day number\n\nlet lens = OI_CHANGE; // settings, read in onStart()\nlet side = 0; // 0 both, 1 calls, 2 puts\nlet columns = 6;\nlet windowPct = 0.05;\nlet rankPercent = false;\nlet minPrior = 100.0;\nlet zone = 0;\nlet longBar = false;\nlet close: f64 = NaN; // this bar\nlet today: f64 = NaN; // the live bar's trade date, days since 1970-01-01; NaN on a bar longer than a day\nlet expiryCount = 0;\nlet rowCount = 0;\nlet strikeCount = 0;\nlet upCount = 0;\nlet downCount = 0;\nlet counted = 0; // contracts with both observations\nlet missing = 0; // contracts without them\nlet partial = false;\nlet callChange = 0.0;\nlet putChange = 0.0;\nlet totalOi = 0.0;\nlet dayVolume = 0.0;\n\nfunction onStart(): void {\n  lens = i32(p_lens());\n  side = i32(p_side());\n  columns = i32(p_columns());\n  if (columns > MAX_COLS) columns = MAX_COLS;\n  windowPct = p_window_pct() / 100.0;\n  rankPercent = p_rank() == 1.0;\n  minPrior = p_min_prior_oi();\n  zone = i32(p_market_zone());\n  longBar = p_chart_interval_sec() > 86400.0;\n}\n\n// ── The tables: sorted insertion ──\nfunction noteExpiry(ms: f64): void {\n  let lo = 0;\n  let hi = expiryCount;\n  while (lo \u003C hi) {\n    const mid = (lo + hi) >> 1;\n    if (expiryMs[mid] \u003C ms) lo = mid + 1;\n    else hi = mid;\n  }\n  if (lo \u003C expiryCount && expiryMs[lo] == ms) return;\n  if (expiryCount >= MAX_EXPIRIES) {\n    if (lo >= expiryCount) return; // later than every kept expiry\n    expiryCount -= 1; // the latest makes room\n  }\n  for (let k = expiryCount; k > lo; k -= 1) expiryMs[k] = expiryMs[k - 1];\n  expiryMs[lo] = ms;\n  expiryCount += 1;\n}\nfunction columnOf(ms: f64): i32 { // the board column of an expiry: its rank among the nearest `columns`, or -1\n  for (let c = 0; c \u003C columns && c \u003C expiryCount; c += 1) if (expiryMs[c] == ms) return c;\n  return -1;\n}\nfunction clearRow(row: i32): void {\n  for (let c = 0; c \u003C MAX_COLS; c += 1) {\n    cellA[row * MAX_COLS + c] = 0.0;\n    cellB[row * MAX_COLS + c] = 0.0;\n    cellSeen[row * MAX_COLS + c] = 0;\n  }\n}\nfunction moveRow(from: i32, to: i32): void {\n  strikePrice[to] = strikePrice[from];\n  for (let c = 0; c \u003C MAX_COLS; c += 1) {\n    cellA[to * MAX_COLS + c] = cellA[from * MAX_COLS + c];\n    cellB[to * MAX_COLS + c] = cellB[from * MAX_COLS + c];\n    cellSeen[to * MAX_COLS + c] = cellSeen[from * MAX_COLS + c];\n  }\n}\nfunction rowSlot(strike: f64): i32 { // the board row of this strike, inserted when new; -1 when the board is full and it is the farthest from the close\n  let lo = 0;\n  let hi = rowCount;\n  while (lo \u003C hi) {\n    const mid = (lo + hi) >> 1;\n    if (strikePrice[mid] \u003C strike) lo = mid + 1;\n    else hi = mid;\n  }\n  if (lo \u003C rowCount && strikePrice[lo] == strike) return lo;\n  if (rowCount >= MAX_ROWS) { // full: the end farther from the close gives way, unless this strike is farther still\n    const lowGap = Math.abs(strikePrice[0] - close);\n    const highGap = Math.abs(strikePrice[rowCount - 1] - close);\n    if (Math.abs(strike - close) >= Math.max(lowGap, highGap)) return -1;\n    if (lowGap >= highGap) { // drop the lowest row: every row shifts down one\n      for (let i = 0; i \u003C rowCount - 1; i += 1) moveRow(i + 1, i);\n      if (lo > 0) lo -= 1;\n    }\n    rowCount -= 1;\n    if (lo > rowCount) lo = rowCount;\n  }\n  for (let i = rowCount; i > lo; i -= 1) moveRow(i - 1, i);\n  strikePrice[lo] = strike;\n  clearRow(lo);\n  rowCount += 1;\n  return lo;\n}\nfunction addStrikeChange(strike: f64, change: f64): void { // a contract's change into its strike's total over every expiry\n  let lo = 0;\n  let hi = strikeCount;\n  while (lo \u003C hi) {\n    const mid = (lo + hi) >> 1;\n    if (allStrike[mid] \u003C strike) lo = mid + 1;\n    else hi = mid;\n  }\n  if (lo \u003C strikeCount && allStrike[lo] == strike) {\n    allChange[lo] += change;\n    return;\n  }\n  if (strikeCount >= MAX_STRIKES) return; // past the cap: a strike this far down the list is left out of the totals\n  for (let k = strikeCount; k > lo; k -= 1) {\n    allStrike[k] = allStrike[k - 1];\n    allChange[k] = allChange[k - 1];\n  }\n  allStrike[lo] = strike;\n  allChange[lo] = change;\n  strikeCount += 1;\n}\n\n// ── The leaders: the TOP largest increases and decreases, ties kept in the summary's order ──\nfunction offer(at: i32, key: f64): void {\n  if (key > 0.0) {\n    let k = upCount \u003C TOP ? upCount : TOP;\n    if (k == TOP && key \u003C= upKey[TOP - 1]) return;\n    if (k == TOP) k = TOP - 1;\n    while (k > 0 && upKey[k - 1] \u003C key) {\n      upKey[k] = upKey[k - 1];\n      upAt[k] = upAt[k - 1];\n      k -= 1;\n    }\n    upKey[k] = key;\n    upAt[k] = at;\n    if (upCount \u003C TOP) upCount += 1;\n  } else if (key \u003C 0.0) {\n    let k = downCount \u003C TOP ? downCount : TOP;\n    if (k == TOP && key >= downKey[TOP - 1]) return;\n    if (k == TOP) k = TOP - 1;\n    while (k > 0 && downKey[k - 1] > key) {\n      downKey[k] = downKey[k - 1];\n      downAt[k] = downAt[k - 1];\n      k -= 1;\n    }\n    downKey[k] = key;\n    downAt[k] = at;\n    if (downCount \u003C TOP) downCount += 1;\n  }\n}\n\n// ── The summary, measured on the live bar ──\nfunction sideKept(isCall: bool): bool {\n  return side == 0 || (side == 1) == isCall;\n}\nfunction measure(n: i32): void { // n = f64 cells in the live block\n  const cells = in_state_view(); // the live summary in place: the first n values of the build's own buffer\n  expiryCount = 0;\n  rowCount = 0;\n  strikeCount = 0;\n  upCount = 0;\n  downCount = 0;\n  counted = 0;\n  missing = 0;\n  partial = false;\n  callChange = 0.0;\n  putChange = 0.0;\n  totalOi = 0.0;\n  dayVolume = 0.0;\n  // The first pass: the expiries, the totals, the per-strike changes and the leaders, over every contract.\n  for (let i = 0; i + TUPLE - 1 \u003C n; i += TUPLE) {\n    const present = cells[i + 12];\n    if (isPartial(present)) partial = true;\n    const strike = cells[i + 3];\n    if (!(strike > 0.0) || !isFinite(cells[i + 1])) continue;\n    noteExpiry(cells[i + 1]);\n    if (hasBit(present, BIT_VOLUME)) dayVolume += cells[i + 9];\n    if (hasBit(present, BIT_OI)) totalOi += cells[i + 10];\n    if (!hasBit(present, BIT_OI) || !hasBit(present, BIT_OI_PREV)) {\n      missing += 1; // an absent reading is no change\n      continue;\n    }\n    const prior = cells[i + 11];\n    const change = cells[i + 10] - prior;\n    const isCall = cells[i + 2] > 0.0;\n    counted += 1;\n    if (isCall) callChange += change;\n    else putChange += change;\n    if (!sideKept(isCall)) continue;\n    addStrikeChange(strike, change);\n    if (!rankPercent) offer(i, change);\n    else if (prior >= minPrior) offer(i, (100.0 * change) / prior);\n  }\n  // The second pass: the board, the nearest `columns` expiries inside the strike window.\n  const lo = close * (1.0 - windowPct);\n  const hi = close * (1.0 + windowPct);\n  for (let i = 0; i + TUPLE - 1 \u003C n; i += TUPLE) {\n    const strike = cells[i + 3];\n    if (!(strike > 0.0) || strike \u003C lo || strike > hi) continue;\n    const col = columnOf(cells[i + 1]);\n    if (col \u003C 0) continue;\n    const present = cells[i + 12];\n    const isCall = cells[i + 2] > 0.0;\n    let a: f64 = NaN; // this contract's part of the cell, NaN when it carries no reading for the lens\n    let b = 0.0;\n    if (lens == NET_VOLUME) {\n      if (hasBit(present, BIT_VOLUME)) a = isCall ? cells[i + 9] : -cells[i + 9];\n    } else if (sideKept(isCall)) {\n      if (lens == OI) {\n        if (hasBit(present, BIT_OI)) a = cells[i + 10];\n      } else if (lens == VOLUME) {\n        if (hasBit(present, BIT_VOLUME)) a = cells[i + 9];\n      } else if (hasBit(present, BIT_OI) && hasBit(present, BIT_OI_PREV)) {\n        a = cells[i + 10] - cells[i + 11];\n        b = cells[i + 11];\n      }\n    }\n    if (isNaN(a)) continue;\n    const row = rowSlot(strike);\n    if (row \u003C 0) continue;\n    cellA[row * MAX_COLS + col] += a;\n    cellB[row * MAX_COLS + col] += b;\n    cellSeen[row * MAX_COLS + col] = 1;\n  }\n}\n\n// ── Text helpers, written into the frame buffer and the line buffer without allocating ──\nfunction fbRoot(code: f64): bool { // the option root a symbol code names; false (nothing written) when it names none\n  if (!isFinite(code) || code \u003C 1.0 || code > 6278211847988223.0 || code != Math.floor(code)) return false;\n  let rest = u64(code);\n  let count = 0;\n  while (rest > 0) {\n    const value = i32(rest % 38);\n    if (value == 0 || count >= 10) return false; // no text encodes to a zero digit\n    rootDigits[count] = value;\n    count += 1;\n    rest = rest / 38;\n  }\n  for (let k = count - 1; k >= 0; k -= 1) fb_text(SYMBOL_CHARS[rootDigits[k] - 1]);\n  return true;\n}\nfunction fbDate(ms: f64): void { // \"17OCT\": an expiry's trade date\n  dateClock.update(optionsTradeDay(ms, zone) * 86400.0);\n  if (dateClock.dayOfMonth() \u003C 10) fb_text(\"0\");\n  fb_int(dateClock.dayOfMonth());\n  fb_text(MONTHS[dateClock.month() - 1]);\n}\nfunction fbStrike(v: f64): void { // a strike as it is quoted: 660, 662.5, 0.25\n  if (v == Math.floor(v)) fb_int(i64(v));\n  else if (v * 10.0 == Math.floor(v * 10.0)) fb_f64(v, 1);\n  else fb_f64(v, 2);\n}\nfunction fbContract(cells: StaticArray\u003Cf64>, i: i32): void { // \"\\\"SPY 17OCT 660C\\\"\", a root that spells nothing as \"?\"\n  fb_text(\"\\\"\");\n  if (!fbRoot(cells[i])) fb_text(\"?\");\n  fb_text(\" \");\n  fbDate(cells[i + 1]);\n  fb_text(\" \");\n  fbStrike(cells[i + 3]);\n  fb_text(cells[i + 2] > 0.0 ? \"C\\\"\" : \"P\\\"\");\n}\nfunction sbCount(v: f64): void { // \"+12.3K\", \"-850\", \"0\"\n  if (v > 0.0) sb_text(\"+\");\n  else if (v \u003C 0.0) sb_text(\"-\");\n  const a = Math.abs(v);\n  if (a >= 1.0e6) {\n    sb_f64(a / 1.0e6, 1);\n    sb_text(\"M\");\n  } else if (a >= 1.0e3) {\n    sb_f64(a / 1.0e3, 1);\n    sb_text(\"K\");\n  } else sb_f64(a, 0);\n}\n\n// ── Frames: the board and the leaders, appended as JSON text without allocating ──\nfunction writeBoard(): void { // strikes ascending, one cell per expiry column, the row nearest the close highlighted\n  if (rowCount == 0) return;\n  const cols = columns \u003C expiryCount ? columns : expiryCount;\n  let atm = 0; // the row nearest the close\n  for (let r = 1; r \u003C rowCount; r += 1) if (Math.abs(strikePrice[r] - close) \u003C Math.abs(strikePrice[atm] - close)) atm = r;\n  fb_clear();\n  fb_text(\"{\\\"prices\\\":[\");\n  for (let r = 0; r \u003C rowCount; r += 1) {\n    if (r > 0) fb_text(\",\");\n    fb_num(strikePrice[r]);\n  }\n  fb_text(\"],\\\"cells\\\":[\");\n  for (let r = 0; r \u003C rowCount; r += 1) {\n    if (r > 0) fb_text(\",\");\n    fb_text(\"[\");\n    for (let c = 0; c \u003C cols; c += 1) {\n      if (c > 0) fb_text(\",\");\n      const at = r * MAX_COLS + c;\n      if (cellSeen[at] == 0) fb_text(\"null\"); // no contract with the lens's readings in this cell: no fill, no text\n      else if (lens == OI_CHANGE_PCT) fb_num(cellB[at] > 0.0 ? (100.0 * cellA[at]) / cellB[at] : NaN); // a cell of new contracts only has no base: null\n      else fb_num(cellA[at]);\n    }\n    fb_text(\"]\");\n  }\n  fb_text(\"],\\\"cols\\\":[\");\n  for (let c = 0; c \u003C cols; c += 1) {\n    if (c > 0) fb_text(\",\");\n    fb_text(\"\\\"\");\n    if (c == 0 && !isNaN(today) && optionsTradeDay(expiryMs[c], zone) \u003C= today) fb_text(\"0DTE\");\n    else fbDate(expiryMs[c]);\n    fb_text(\"\\\"\");\n  }\n  fb_text(\"],\\\"title\\\":\\\"\");\n  fb_text(LENS_TITLES[lens]);\n  fb_text(\"\\\",\\\"highlight\\\":{\\\"price\\\":\");\n  fb_num(strikePrice[atm]);\n  fb_text(\"}}\");\n  if (lens == OI_CHANGE_PCT) writeFrameBuffer(pct_board);\n  else if (lens == OI || lens == VOLUME) writeFrameBuffer(size_board);\n  else writeFrameBuffer(change_board);\n}\nfunction fbLeader(cells: StaticArray\u003Cf64>, i: i32): void { // one table row: the contract, the prior OI, the OI, the change, the change in percent, the day's volume\n  const prior = cells[i + 11];\n  const change = cells[i + 10] - prior;\n  fb_text(\"[\");\n  fbContract(cells, i);\n  fb_text(\",\");\n  fb_num(prior);\n  fb_text(\",\");\n  fb_num(cells[i + 10]);\n  fb_text(\",{\\\"value\\\":\");\n  fb_num(change);\n  fb_text(change >= 0.0 ? \",\\\"text_color\\\":\\\"theme.up\\\"},\" : \",\\\"text_color\\\":\\\"theme.down\\\"},\");\n  if (prior > 0.0) fb_num((100.0 * change) / prior);\n  else fb_text(\"\\\"new\\\"\"); // no prior open interest: every contract is new\n  fb_text(\",\");\n  if (hasBit(cells[i + 12], BIT_VOLUME)) fb_num(cells[i + 9]);\n  else fb_text(\"null\");\n  fb_text(\"]\");\n}\nfunction writeLeaders(): void {\n  const cells = in_state_view();\n  fb_clear();\n  fb_text(\"{\\\"caption\\\":\\\"\");\n  if (upCount + downCount == 0) fb_text(\"No change in open interest to rank\");\n  else {\n    fb_text(\"The largest increases, then the largest decreases, by \");\n    fb_text(rankPercent ? \"percent of the prior open interest\" : \"contracts\");\n  }\n  fb_text(\"\\\",\\\"rows\\\":[\");\n  for (let k = 0; k \u003C upCount; k += 1) {\n    if (k > 0) fb_text(\",\");\n    fbLeader(cells, upAt[k]);\n  }\n  for (let k = 0; k \u003C downCount; k += 1) {\n    if (upCount + k > 0) fb_text(\",\");\n    fbLeader(cells, downAt[k]);\n  }\n  fb_text(\"]}\");\n  writeFrameBuffer(leaders);\n}\n\n// ── The card's words ──\nfunction writeWords(): void {\n  sb_clear();\n  if (counted == 0) sb_text(\"No contract carries both open interest readings\");\n  else {\n    sb_text(\"Net \");\n    sbCount(callChange + putChange);\n    sb_text(\": calls \");\n    sbCount(callChange);\n    sb_text(\", puts \");\n    sbCount(putChange);\n  }\n  str_read_sb();\n  sb_clear();\n  sb_text(\"OI since the prior reading, \");\n  sb_int(expiryCount);\n  sb_text(expiryCount == 1 ? \" expiry, \" : \" expiries, \");\n  sb_int(counted);\n  sb_text(\" contracts\");\n  if (partial) sb_text(\", partial summary\");\n  str_title_sb();\n}\n\n// onBar() runs once per bar: history rows carry an empty block and cost one read; the live bar measures the summary,\n// writes the readings (NaN on history rows), the board, the table and the card's words.\nfunction onBar(): void {\n  close = bar.close();\n  const t = bar.time();\n  let measured = false; // the live bar carried a summary with a contract in it\n  let stateCells = -1;\n  if (bar.isLast() && !isNaN(close) && !isNaN(t)) {\n    stateCells = in_state_cells();\n    if (stateCells >= TUPLE) {\n      today = longBar ? NaN : optionsTradeDay(t * 1000.0, zone);\n      measure(stateCells);\n      measured = expiryCount > 0;\n    }\n  }\n  const reading = measured && counted > 0;\n  const net = callChange + putChange;\n  let build = -1; // the strikes whose change, every expiry together, rose and fell most\n  let unwind = -1;\n  if (reading) {\n    for (let k = 0; k \u003C strikeCount; k += 1) {\n      if (allChange[k] > 0.0 && (build \u003C 0 || allChange[k] > allChange[build])) build = k;\n      if (allChange[k] \u003C 0.0 && (unwind \u003C 0 || allChange[k] \u003C allChange[unwind])) unwind = k;\n    }\n  }\n  out_call_change(reading ? callChange : NaN);\n  out_put_change(reading ? putChange : NaN);\n  out_net_change(reading ? net : NaN);\n  out_total_oi(measured ? totalOi : NaN);\n  out_day_volume(measured ? dayVolume : NaN);\n  out_build_strike(build >= 0 ? allStrike[build] : NaN);\n  out_build_change(build >= 0 ? allChange[build] : NaN);\n  out_unwind_strike(unwind >= 0 ? allStrike[unwind] : NaN);\n  out_unwind_change(unwind >= 0 ? allChange[unwind] : NaN);\n  out_counted(measured ? f64(counted) : NaN);\n  out_missing(measured ? f64(missing) : NaN);\n  out_partial(measured ? (partial ? 1.0 : 0.0) : NaN);\n  out_tone(reading ? (net > 0.0 ? 2.0 : net \u003C 0.0 ? 0.0 : 1.0) : bar.isLast() ? 1.0 : NaN);\n  if (measured) {\n    writeBoard();\n    writeLeaders();\n    writeWords();\n  } else if (bar.isLast()) {\n    // The live bar carried nothing to measure: the headline says why, so the card is never a row of blanks.\n    sb_clear();\n    sb_text(stateCells \u003C TUPLE ? \"Waiting for the option chain summary\" : \"No contract in the summary\");\n    str_read_sb();\n    sb_clear();\n    sb_text(\"OI since the prior reading, no summary read\");\n    str_title_sb();\n  }\n}\n```\n\n## How it works\n\n**The summary is a snapshot of now.** `input(\"state\", option_contract_state.cells, { max_cells: 24000, expiries: \"nearest:24\", strike_window_pct: 10 })` delivers one 13-value tuple per contract of the 24 nearest expiries with a strike within 10% of the underlying, on the live row; every history bar carries an empty block, so everything is measured on the last bar and the card, the board and the table are rewritten as the summary refreshes. The knobs are part of the fetch, so the sheet names them; the 24,000 cells leave room for an index's ladder of strikes.\n\n**A change needs both readings.** A contract counts in a change only when its `present` mask carries bit 10 (`oi`) and bit 11 (`oi_prev`): the change is `oi - oi_prev`, in contracts. A contract missing either reading is counted in the card's last row (\"Without both readings\") and left out of every change, never read as 0. A contract with a prior open interest of 0 is new: its change counts, and the table prints `new` in its percent column. When any tuple carries bit 14 the data plane cut the summary short, and the title says \"partial summary\".\n\n**The board.** The nearest **Expiry columns** expiries (6 by default) and the strikes within **Strike window** of the close (5% each side, at most 128 rows, the farthest from the close giving way first) make the board. Each cell sums its contracts on the lens: the change (`oi_change`), the change over the cell's prior open interest in percent (`oi_change_pct`; a cell of new contracts alone has no base and prints nothing), the open interest (`oi`), the day's volume (`volume`) or the call volume minus the put volume (`net_volume`). **Side** keeps the calls or the puts alone on every lens but the net volume. A cell with no contract that carries the lens's readings prints nothing and takes no tint. The front column reads `0DTE` when its expiry's trade date is today's on the market's clock (on a chart of a day or shorter; a longer bar names no single day). Signed counts ride a board with a diverging palette centred on zero, percents a board formatted `%`, and the open interest and the volume a board with one ramp, so each prints its own unit.\n\n**The leaders.** Every contract with both readings on the **Side** setting is offered to two lists of five: the largest increases, then the largest decreases (the most negative first), by contracts, or by percent of the prior open interest when **Rank by** says so, among the contracts holding at least **Smallest prior OI for percent** (100 by default: a change from 3 to 57,154 contracts is not a percent worth ranking). Ties keep the summary's order. Each row names the contract (`SPY 17OCT 660C`: the root from its symbol code, `?` when the code spells nothing, the expiry's trade date, the strike, C or P), the prior open interest, the open interest, the change in the up or down colour, the change in percent and the day's volume.\n\n**The card.** The headline is the net change with its two sides (`Net +12.3K: calls +9.9K, puts +2.5K`), coloured by its sign; then the calls' and the puts' change, the strikes whose change summed over every expiry rose and fell most, with their changes, the open interest and the day's volume of every listed contract, and the count without both readings. The title says how many expiries and contracts the summary held.\n\n## Where it runs\n\nUS stock and ETF charts with US listed options, through OpenMarket's official wrun indicator, under the US options rule ([Limitations](../reference/limitations.md)). The `option_contract_state` source is upcoming: the kit declares it ahead of the chart lane that will serve it, so the package builds, and the chart shows its refusal until that lane ships.\n\n## When data is missing\n\nThe headline says why instead of the card going blank: \"Waiting for the option chain summary\" while the live bar carries none, \"No contract in the summary\" for an empty one, and \"No contract carries both open interest readings\" when no prior open interest has been observed. A board cell with no reading prints nothing; a lens with no cell writes no board.\n\n## Customize it\n\n- **Today's trading instead.** Set **Lens** to volume, or net volume for calls against puts by strike and expiry.\n- **The puts alone.** Set **Side** to puts: the board, the table and the strike totals count the puts.\n- **Rank by percent.** Set **Rank by** to percent and raise **Smallest prior OI for percent** to keep thin contracts out.\n- **Further out.** Change `expiries: \"nearest:24\"` and `strike_window_pct: 10` in the input and Run again; size `max_cells` for the contracts they keep.\n\n## Run it\n\n1. In the editor's Explorer, press the **Templates** icon (\"Browse starter templates\") and pick **OI Changes** under **HUDs**.\n2. Press **Run** on a US stock or ETF chart: the board docks at the price axis once the summary arrives, the table opens under the chart and the card at the bottom centre.\n3. At the editor's Console prompt, type `net_change`, `build_strike` and `missing` to read them on the live bar.\n\n## Concepts used\n\n- [Data sources](../core-concepts/data-sources.md#us-listed-options-opra) for the `option_contract_state` celled class, its tuple, its knobs and the present mask\n- [Price canvases](../presentation/price-canvases.md#strike-matrices) for `plot.matrix` and the matrix frame\n- [Cards, frames and panels](../presentation/cards-frames-panels.md#table) for `panel.table` and its styled cells\n- [HUD cards](../presentation/hud-and-hover-cards.md#hud-cards) and [Looks](../presentation/hud-and-hover-cards.md#looks) for the card\n",{"type":14,"children":15,"data":19799,"position":19801},"root",[16,25,28,29,119,120,488,489,507,508,18339,18340,18356,18357,18408,18409,18536,18537,18775,18776,18915,18916,18967,18968,18982,18983,19042,19043,19058,19059,19074,19075,19090,19091,19365,19366,19382,19383,19580,19581,19596,19597],{"type":17,"value":18,"position":19},"comment"," source: docs/indicators/cookbook/oi-changes.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":10,"offset":24},125,{"type":26,"value":27},"text","\n",{"type":26,"value":27},{"type":30,"tagName":31,"properties":32,"children":33,"position":116},"element","p",{},[34,43,69,76,89,96,109],{"type":26,"value":35,"position":36},"Where open interest built and unwound since its prior observation, contract by contract, from the chart's own option chain summary on the newest bar: each contract's open interest and the prior observation of it, the day's volume and the quote (the ",{"start":37,"end":40},{"line":38,"column":21,"offset":39},5,141,{"line":38,"column":41,"offset":42},250,390,{"type":30,"tagName":44,"properties":45,"children":47,"position":64},"a",{"href":46},"../core-concepts/data-sources.md#option_contract_state",[48],{"type":30,"tagName":49,"properties":50,"children":51,"position":61},"code",{},[52],{"type":26,"value":53,"position":54},"option_contract_state",{"start":55,"end":58},{"line":38,"column":56,"offset":57},251,391,{"line":38,"column":59,"offset":60},274,414,{"start":62,"end":63},{"line":38,"column":56,"offset":57},{"line":38,"column":59,"offset":60},{"start":65,"end":66},{"line":38,"column":41,"offset":42},{"line":38,"column":67,"offset":68},331,471,{"type":26,"value":70,"position":71}," source, its ",{"start":72,"end":73},{"line":38,"column":67,"offset":68},{"line":38,"column":74,"offset":75},344,484,{"type":30,"tagName":49,"properties":77,"children":78,"position":86},{},[79],{"type":26,"value":80,"position":81},"oi",{"start":82,"end":83},{"line":38,"column":74,"offset":75},{"line":38,"column":84,"offset":85},348,488,{"start":87,"end":88},{"line":38,"column":74,"offset":75},{"line":38,"column":84,"offset":85},{"type":26,"value":90,"position":91}," and ",{"start":92,"end":93},{"line":38,"column":84,"offset":85},{"line":38,"column":94,"offset":95},353,493,{"type":30,"tagName":49,"properties":97,"children":98,"position":106},{},[99],{"type":26,"value":100,"position":101},"oi_prev",{"start":102,"end":103},{"line":38,"column":94,"offset":95},{"line":38,"column":104,"offset":105},362,502,{"start":107,"end":108},{"line":38,"column":94,"offset":95},{"line":38,"column":104,"offset":105},{"type":26,"value":110,"position":111},"). 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The Lens setting turns the board into the change in percent of the prior open interest, the open interest itself, the day's volume, or the net volume (calls minus puts), so the one board answers \"where did positions open\", \"where do they sit\" and \"where did today trade\".",{"start":112,"end":113},{"line":38,"column":104,"offset":105},{"line":38,"column":114,"offset":115},998,1138,{"start":117,"end":118},{"line":38,"column":21,"offset":39},{"line":38,"column":114,"offset":115},{"type":26,"value":27},{"type":30,"tagName":31,"properties":121,"children":122,"position":485},{},[123,132,145,152,170,177,190,197,210,216,229,236,254,261,274,281,299,306,319,326,344,351,364,371,384,391,409,416,429,436,454,461,478],{"type":26,"value":124,"position":125},"The parts are a celled ",{"start":126,"end":129},{"line":127,"column":21,"offset":128},7,1140,{"line":127,"column":130,"offset":131},24,1163,{"type":30,"tagName":49,"properties":133,"children":134,"position":142},{},[135],{"type":26,"value":136,"position":137},"option_contract_state.cells",{"start":138,"end":139},{"line":127,"column":130,"offset":131},{"line":127,"column":140,"offset":141},53,1192,{"start":143,"end":144},{"line":127,"column":130,"offset":131},{"line":127,"column":140,"offset":141},{"type":26,"value":146,"position":147}," input read on the live bar (",{"start":148,"end":149},{"line":127,"column":140,"offset":141},{"line":127,"column":150,"offset":151},82,1221,{"type":30,"tagName":44,"properties":153,"children":155,"position":165},{"href":154},"../core-concepts/data-sources.md#us-listed-options-opra",[156],{"type":26,"value":157,"position":158},"Data sources",{"start":159,"end":162},{"line":127,"column":160,"offset":161},83,1222,{"line":127,"column":163,"offset":164},95,1234,{"start":166,"end":167},{"line":127,"column":150,"offset":151},{"line":127,"column":168,"offset":169},153,1292,{"type":26,"value":171,"position":172},"), its ",{"start":173,"end":174},{"line":127,"column":168,"offset":169},{"line":127,"column":175,"offset":176},160,1299,{"type":30,"tagName":49,"properties":178,"children":179,"position":187},{},[180],{"type":26,"value":181,"position":182},"present",{"start":183,"end":184},{"line":127,"column":175,"offset":176},{"line":127,"column":185,"offset":186},169,1308,{"start":188,"end":189},{"line":127,"column":175,"offset":176},{"line":127,"column":185,"offset":186},{"type":26,"value":191,"position":192}," bits read with 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