kestrel.markets
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A typed, token-efficient language + runtime for agentic trading: agents author bounded plans, the runtime fires them at the tick. CLI + typed library + MCP server.
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JavaScript
/**
* # fill/model — the FillModel seam: a floor judge and a ceiling judge (RUNTIME §6)
*
* One seam sits under every mode of grading: `FillModel.assess(order, leg, ctx) → { fill?,
* pFill, kind }`. Every plan **and the structural null cross the same fill model**, so
* strategies are compared on fills, not on fill assumptions (ARCHITECTURE §4). A fill model
* never returns a bare boolean — it returns a definite floor `fill?` (present only when the
* conservative strict-cross rule fires) *and* a per-assessment probability `pFill` the engine
* accumulates for expected-value accounting.
*
* Two implementations, deliberately a floor and a ceiling:
*
* - {@link StrictCrossV1} — the **floor judge**. A resting order fills only when the tape
* quote strictly crosses its price (a BUY fills iff the leg's ask moves *strictly below*
* the resting price; symmetric for a SELL vs the bid). Same-price never fills; a dark side
* never fills. `pFill ∈ {0, 1}`. Conservative by construction — it under-counts fills, so a
* strategy that clears it clears any honest model.
*
* - {@link MakerFairV1} — the **ceiling judge**. Strict-cross ∪ a calibrated hazard of being
* filled while resting at/near `fair`. The hazard **parameters are injected as a typed data
* object** (a constructor arg): calibration is versioned *input*, not code. The shipped
* default ({@link MAKER_FAIR_DEFAULT_HAZARD}) is clearly labelled **uncalibrated** — it
* exists to make the model runnable, never to assert a fill rate.
*
* Both are pure functions of their arguments (no wall clock, no RNG — RUNTIME §0). All time
* enters as `ctx.dtSinceLast` (milliseconds since this order's previous assessment), injected
* by the engine from the bus clock.
*/
import { dexp } from "../fair/detmath.js";
export { isCalibratedSupport } from "../support/index.js";
// The directional far-OTM guard — classification, the GuardedIntent verdict, and the far-OTM cap
// decision — is OWNED by fill/guarded-intent (kestrel-vav2, arch-review C1b): ONE interface the fill
// model consumes so the never-naked property is testable through the enforcing seam. This module
// re-exports the classification surface so consumers keep one fill import, and calls `guardedPfill`
// (over `guardedIntentOf`) on both hazard paths — it authors no cap logic of its own.
import { guardedIntentOf, guardedPfill } from "./guarded-intent.js";
export { classifyMoneyness, MONEYNESS_ATM_BAND, MONEYNESS_DEEP_OTM_FRAC, SELL_FAR_OTM_CAP, BUY_FAR_OTM_CROSSING, } from "./guarded-intent.js";
/** Every judge in this build reads only the recorded top-of-book tape, so none sees queue position or
* intra-tick sequencing — the two limits every model shares. */
const NO_QUEUE_POSITION = {
code: "no-queue-position",
note: "recorded top-of-book tape only; the judge cannot observe queue position or fill priority",
};
const BOOK_TAPE_RESOLUTION = {
code: "book-tape-resolution",
note: "fills resolve at the recorded book tape's resolution; no intra-tick or intraminute sequencing",
};
/** {@link StrictCrossV1}'s self-limitation: the shared tape limits + it credits a fill ONLY on a strict
* tape cross (a conservative floor; no passive/maker fills). */
export const STRICT_CROSS_LIMITS = [
NO_QUEUE_POSITION,
BOOK_TAPE_RESOLUTION,
{ code: "strict-cross-only", note: "credits a fill only on a strict tape cross; no passive/maker fill is ever credited (a conservative floor)" },
];
/** The maker-fair judges' self-limitation: the shared tape limits + a MODELED passive fill near fair (not
* an observed execution). Shared by {@link MakerFairV1} and the CALIBRATED {@link MakerFairCalV1}: both
* observe the same recorded top-of-book tape and both model passive fills, so the calibrated judge DERIVES
* its declaration from here rather than falling through to an "unstated" fail-closed default. */
export const MAKER_FAIR_LIMITS = [
NO_QUEUE_POSITION,
BOOK_TAPE_RESOLUTION,
{ code: "maker-fill-modeled", note: "passive maker fills are a modeled per-second hazard near fair, not observed executions" },
];
// ─────────────────────────────────────────────────────────────────────────────
// Shared primitives
// ─────────────────────────────────────────────────────────────────────────────
/**
* The strict-cross floor rule (RUNTIME §6) — a QUOTE cross **or** a TRADE-through print, the two
* deterministic, calibration-free ways the recorded tape hands a resting order a definite fill:
*
* - **Quote cross.** A resting BUY fills iff the leg's ask is present and **strictly below** the
* resting price; a resting SELL iff the bid is present and **strictly above** it. Same-price is
* *not* a cross (`<` / `>`, never `≤` / `≥`); a dark side (`null`) never crosses.
* - **Trade-through** (kestrel-9gu.9). A resting BUY also fills when a trade **prints at or
* through** its price (`leg.last ≤ px`); a resting SELL when `leg.last ≥ px`. RUNTIME §6 defines
* strict-cross on "trade prints/quotes moving through the level" — `OptionQuote.last` carries
* those prints, yet no fill path read it (the 9gu.9 gap). A print AT the resting level is a real
* execution the passive order shared, so it is at-or-through (`≤`/`≥`), not the strict `<`/`>` of
* the quote rule. Deterministic and immediately bankable (a recorded print, not a modeled hazard).
*
* **Same-price doctrine split vs spot (kestrel-0gnb).** The two arms read a same-price *trade
* print* differently, and its spot sibling {@link ../fill/spot.ts spotStrictCross} reads it the
* OTHER way: this options arm is *at-or-through* (a fresh print AT the level fills), while the spot
* arm is strictly-through (`<`/`>`) and REFUSES same-price, because the quote-less catalog tapes
* leave queue position unknowable there whereas the option tape's fresh `last` is an execution the
* passive order shared. Both are floor-legal; spot is strictly the more conservative reading. The
* two share the `strict-cross` judge NAME, so an option-vs-equity comparison under one stamp must
* key the same-price rule on the arm, not the name. (Reconciling the two would be a semantics
* change needing its own review.)
*
* **Freshness is the ENGINE's contract, not this function's.** The tape converter carries `last`
* forward session-cumulatively (99%+ of last-bearing leg-events on the recorded tapes are stale
* carries), and a pure per-look rule cannot tell a fresh execution from a morning print an
* afternoon order never interacted with. {@link ../fill/engine.ts SimFillEngine} owns the
* cross-event print memory and hands `assess` a leg whose `last` is PRESENT only when the print
* CHANGED on this event (fresh; a first sighting is inert). This function therefore treats a
* present `last` as fresh — a caller that bypasses the engine must gate freshness itself.
*
* Either condition is a definite fill, always AT the resting price (RUNTIME §6). This is the
* conservative core all three models share (both call sites strict-cross-first).
*/
export function strictCross(order, leg) {
if (order.side === "buy") {
if (leg.ask !== null && leg.ask < order.px)
return true;
return leg.last !== undefined && leg.last <= order.px;
}
if (leg.bid !== null && leg.bid > order.px)
return true;
return leg.last !== undefined && leg.last >= order.px;
}
// ─────────────────────────────────────────────────────────────────────────────
// The DIRECTIONAL fill guard — a resting maker p_fill is ASYMMETRIC by SIDE × MONEYNESS in the
// far-OTM wing, never symmetric. The classification, the GuardedIntent verdict, and the cap decision
// all live in fill/guarded-intent (kestrel-vav2, arch-review C1b) — the ONE interface both hazard
// paths below consume via `guardedPfill(pSym, guardedIntentOf(order))`. `classifyMoneyness`, the
// moneyness boundaries, and the far-OTM constants are re-exported (above) from that owner so the fill
// import surface is unchanged.
// ─────────────────────────────────────────────────────────────────────────────
/**
* Apply the directional far-OTM asymmetry to a **symmetric** maker hazard `pSym` — the LEGACY
* positional adapter, retained so existing direct callers keep one call shape. It builds a
* {@link GuardedIntent} and delegates to {@link guardedPfill} (fill/guarded-intent), which is the
* single owner of the cap decision; this function adds NO logic of its own. New code on the fill path
* consumes `guardedPfill(pSym, guardedIntentOf(order))` directly.
*/
export function directionalPfill(pSym, opts) {
const guarded = {
side: opts.isBuy ? "buy" : "sell",
...(opts.moneyness !== undefined ? { moneyness: opts.moneyness } : {}),
...(opts.covered !== undefined ? { covered: opts.covered } : {}),
unresolved: false,
};
return guardedPfill(pSym, guarded);
}
// ─────────────────────────────────────────────────────────────────────────────
// strict-cross-v1 — the floor judge
// ─────────────────────────────────────────────────────────────────────────────
/** The floor judge: fills only on a strict tape cross, at the resting price, with
* `pFill ∈ {0, 1}`. It ignores `fair` and time entirely — the most conservative honest
* model. */
export class StrictCrossV1 {
name = "strict-cross";
version = "v1";
self_limitation = STRICT_CROSS_LIMITS;
assess(order, leg, _ctx) {
// Strict-cross outcomes are STRUCTURAL price-priority facts (a definite cross, or a definite
// no-cross under the conservative rule) — not extrapolations. Both stamp `calibrated` support
// (`support` is the fill-model analogue of data-quality; a structural cross is
// as real as a fill gets). This model never hazard-prices, so it has no extrapolated cell.
if (strictCross(order, leg)) {
return { fill: { qty: order.qty, px: order.px }, pFill: 1, kind: "cross", support: "calibrated" };
}
return { pFill: 0, kind: "no-cross", support: "calibrated" };
}
}
/**
* The shipped default hazard set — **UNCALIBRATED**. It exists only so `maker-fair-v1` is
* runnable out of the box; it asserts no real fill rate. A live-fit calibration file replaces
* it as versioned input (RUNTIME §6). `calibrated: false` is what a report stamps.
*/
export const MAKER_FAIR_DEFAULT_HAZARD = {
version: "uncalibrated-0",
calibrated: false,
baseHazardPerSec: 0.05,
edgeScale: 0.5,
fairFloor: 0.05,
};
/**
* The per-assessment fill hazard: `1 − exp(−λ(edge)·dt)`, with `λ(edge) = baseHazardPerSec ·
* exp(−edgeRel / edgeScale)`. Monotone **increasing** in `dtMs` (longer at rest ⇒ more likely
* to have been hit) and **decreasing** in `edgeRel` (further from fair ⇒ less flow interacts).
* A non-positive `dtMs` yields `0` (no time elapsed, no hazard). Pure. The exponentials are the
* vendored {@link dexp}, not `Math.exp`, so the hazard is bit-identical across V8/JSC on the
* certified-grade path (see {@link ../fair/detmath.ts}).
*/
export function makerFairHazard(params, edgeRel, dtMs) {
if (dtMs <= 0)
return 0;
const decay = dexp(-Math.max(edgeRel, 0) / params.edgeScale);
const lambda = params.baseHazardPerSec * decay;
const dtSec = dtMs / 1000;
return 1 - dexp(-lambda * dtSec);
}
/**
* The ceiling judge: strict-cross ∪ a hazard of being filled while resting at/near `fair`.
* On a strict cross it returns a definite floor fill (`pFill = 1`). Otherwise, if `fair` is
* available, it returns the per-assessment hazard as `pFill` (no `fill`); with no `fair` it
* degrades to the floor only (`pFill = 0`) — conservative, fail-closed.
*/
export class MakerFairV1 {
name = "maker-fair";
version = "v1";
self_limitation = MAKER_FAIR_LIMITS;
params;
constructor(params = MAKER_FAIR_DEFAULT_HAZARD) {
this.params = params;
}
get calibration() {
return { version: this.params.version, calibrated: this.params.calibrated };
}
assess(order, leg, ctx) {
// A structural strict-cross is calibrated (a price-priority fact) even on this uncalibrated model.
if (strictCross(order, leg)) {
return { fill: { qty: order.qty, px: order.px }, pFill: 1, kind: "cross", support: "calibrated" };
}
if (ctx.fair === undefined) {
// No fair ⇒ degrade to the floor only; there is no calibrated basis to assert, so the cell is
// extrapolated (and pFill is 0 anyway ⇒ nothing to bank). Fail-closed.
return { pFill: 0, kind: "no-fair", support: "extrapolated" };
}
const denom = Math.max(Math.abs(ctx.fair), this.params.fairFloor);
const edgeRel = Math.abs(order.px - ctx.fair) / denom;
const hSym = makerFairHazard(this.params, edgeRel, ctx.dtSinceLast);
// The maker hazard is DIRECTIONAL in the far-OTM wing (buy = real crossing-print,
// sell = fantasy → floored to SELL_FAR_OTM_CAP; a covered wing is exempt). Near-the-money /
// unclassified ⇒ unchanged. The guard is a POST-CALIBRATION structural multiplier on the OUTPUT
// p_fill (directionalPfill applied to the already-calibrated symmetric hazard pSym) — it edits no
// fitted DATA, so it also belongs on the calibrated MakerFairCalV1
// path (9gu.1/9gu.2).
const h = guardedPfill(hSym, guardedIntentOf(order));
// This shipped default is uncalibrated (calibrated:false) ⇒ its hazard cells are extrapolated;
// an injected live-fit param set (calibrated:true) marks them calibrated.
const support = this.params.calibrated ? "calibrated" : "extrapolated";
return { pFill: h, kind: "hazard", support };
}
}
/** Logistic sigmoid on the vendored {@link dexp} (not `Math.exp`) so the calibrated hazard is
* bit-identical across V8/JSC on the certified-grade path (see {@link ../fair/detmath.ts}). */
function sigmoid(x) {
return 1 / (1 + dexp(-x));
}
const clamp01 = (p) => (p < 0 ? 0 : p > 1 ? 1 : p);
/**
* Validate and load {@link EpisodeSigmoidParams} from a parsed calibration JSON (the private
* `hazard_constants.{BUY,SELL}` schema). Fails **loud** on a missing/malformed field — a
* calibration you cannot read is never silently defaulted (RUNTIME §8). The private numbers stay
* in the (gitignored) data file; only the shape is asserted here.
*/
export function loadEpisodeSigmoidParams(raw) {
const o = raw;
const hc = o?.hazard_constants;
if (typeof o?.version !== "string" || hc === undefined || hc === null) {
throw new Error("fill: malformed hazard-params (need string `version` + `hazard_constants`)");
}
const num = (v, where) => {
if (typeof v !== "number" || !Number.isFinite(v))
throw new Error(`fill: hazard-params ${where} must be a finite number`);
return v;
};
const side = (s, name) => {
const o2 = s;
if (o2 === undefined)
throw new Error(`fill: hazard-params missing side ${name}`);
const saturated = o2.saturated === true;
const uStarRaw = o2.u_star;
return {
alpha: num(o2.alpha, `${name}.alpha`),
uStar: uStarRaw === null || uStarRaw === undefined ? null : num(uStarRaw, `${name}.u_star`),
rho: num(o2.rho, `${name}.rho`),
floor: num(o2.floor, `${name}.floor`),
saturated,
internalizationFloor: num(o2.internalization_floor, `${name}.internalization_floor`),
};
};
return { version: o.version, buy: side(hc.BUY, "BUY"), sell: side(hc.SELL, "SELL") };
}
/**
* The calibrated ceiling judge (`episode-sigmoid-u-v1`). Strict-cross ∪ the per-episode sigmoid
* hazard above. It returns an {@link FillAssessment.episodeKey} (`"lit"` / `"dark"`) so the
* engine accrues **one Bernoulli per resting episode** (placement, each reprice = a new order/
* episode, and each dark↔lit transition = a new episode) rather than integrating over time.
*/
export class MakerFairCalV1 {
name;
version = "cal";
// DERIVED from MakerFairV1: this calibrated judge observes the SAME recorded top-of-book tape and models
// passive fills the same way (only the hazard NUMBERS are fit), so it shares maker-fair's self-limitation.
// Declaring it here is what fixes the mislabel — its `maker-fair-v1+<version>` name matched no lookup key
// and was silently downgraded to "unstated"/maximally-limited (kestrel-o32).
self_limitation = MAKER_FAIR_LIMITS;
params;
constructor(params) {
this.params = params;
this.name = `maker-fair-v1+${params.version}`;
}
get calibration() {
return { version: this.params.version, calibrated: true };
}
assess(order, leg, ctx) {
// A structural strict-cross is calibrated (a price-priority fact).
if (strictCross(order, leg)) {
return { fill: { qty: order.qty, px: order.px }, pFill: 1, kind: "cross", support: "calibrated" };
}
const c = order.side === "buy" ? this.params.buy : this.params.sell;
// u needs a two-sided book (a half-spread) AND a fair; otherwise it is the dark LEVEL branch.
const twoSided = leg.bid !== null && leg.ask !== null && leg.ask - leg.bid > 0 && ctx.fair !== undefined;
if (!twoSided) {
// dark / one-sided / no-fair ⇒ level lift to the internalization floor (lone-bid/PFOF). This is
// OUTSIDE the fitted u-sigmoid support — a dark internalization region with no live anchor — so
// it is EXTRAPOLATED (the far-OTM-offer / dark-lift corners a grader refuses to
// bank — the fantasy region). Fail-closed for banking.
return { pFill: clamp01(c.internalizationFloor), kind: "cal-dark", episodeKey: "dark", support: "extrapolated" };
}
const halfSpread = (leg.ask - leg.bid) / 2;
const a = order.side === "buy" ? order.px - ctx.fair : ctx.fair - order.px;
const u = a / halfSpread;
const pSym = c.saturated ? c.rho : c.floor + (c.rho - c.floor) * sigmoid(c.alpha * (u - (c.uStar ?? 0)));
// The directional far-OTM guard is a POST-CALIBRATION
// structural multiplier applied to the OUTPUT p_fill (directionalPfill over the already-calibrated
// symmetric hazard pSym), NOT a data edit — the fitted episode-sigmoid JSON is never
// touched, so this belongs on the CALIBRATED path too. Without it a standalone far-OTM SELL takes
// this lit branch (the saturated sell `rho` is a fat p) and returns an uncapped, bankable p_fill —
// the far-OTM-offer FANTASY the guard exists to close (BOUNDED RISK / NEVER NAKED). A covering wing
// of a defined-risk package is exempt; near-the-money / unclassified legs pass through unchanged.
const p = guardedPfill(pSym, guardedIntentOf(order));
// A lit cell within the fitted episode-sigmoid support is CALIBRATED (`support` keys off the
// per-cell live-anchor table, orthogonal to the directional guard — the guard caps p_fill, the
// support flag reports data quality; both apply on this path).
return { pFill: clamp01(p), kind: "cal-sigmoid", episodeKey: "lit", support: "calibrated" };
}
}