pike/val Public Public: anyone can read this; nobody can change it.

/**

 * How a bot points a gun.

 *

 * The shot itself is shared with people — weapon spread, the move penalty,

 * the spray, the blind wobble all live in the game's own weapon rules and

 * apply to everyone the same way. What lives here is the part a person is

 * bad at and a bot was not: seeing somebody, and getting the barrel onto

 * them.

 *

 * A hold on a target has three honest costs. It takes a moment to notice

 * (`reaction`), the barrel starts somewhere wrong and only settles the longer

 * the same target is held (`aimCone`), and a target crossing the view is

 * harder to stay on than one walking down the barrel (`crossRate`).

 *

 * Everything here is a pure function of a track and a roll, so the caller

 * supplies the randomness — the match's seeded `random`, so a replay of a

 * seed still plays the same round.

 */

export type Point = { x: number; y: number };

/** One bot's hold on one target. Scratch space, carried on the player. */

export type Track = {

  /** The target being held, or null when nothing is in sight. */

  id: string | null;

  /** Match time the hold started: every cost here is measured from it. */

  since: number;

  /** Match time the target was last actually seen. */

  seen: number;

  /** Seconds between seeing this target and being allowed to pull. */

  reaction: number;

  /** How wrong the barrel is, in radians, signed. */

  error: number;

  /** Where the target was last seen, to measure how it is moving. */

  x: number;

  y: number;

};

export const emptyTrack = (): Track => ({ id: null, since: 0, seen: 0, reaction: 0, error: 0, x: 0, y: 0 });

/** A bot notices somebody somewhere in here, never sooner. */

export const REACTION_MIN = 0.2;

export const REACTION_MAX = 0.35;

/** A hold survives a blink — a smoke edge, a corner — without re-reacting. */

export const FORGET = 0.4;

/** Seconds for the cone to fall by 1/e while the same target is held. */

export const SETTLE = 0.8;

/** The cone a bot settles to: under the weapon's own spread, never zero. */

export const CONE_FLOOR = 0.008;

/** What the cone opens to the instant a target is acquired (~6°). */

export const CONE_SWING = 0.105;

/** What a target crossing the view at a full run adds to it (~3.4°). */

export const CONE_MOVE = 0.06;

/** How fast the error wanders inside the cone, in cone-widths a second. */

export const DRIFT = 2.4;

const clamp01 = (n: number): number => (n < 0 ? 0 : n > 1 ? 1 : n);

/** The reaction a bot draws on acquiring a target: 200–350ms. */

export const reactionTime = (roll: number): number =>

  REACTION_MIN + (REACTION_MAX - REACTION_MIN) * clamp01(roll);

/** Seconds this target has been held. */

export const heldFor = (track: Track, now: number): number => Math.max(0, now - track.since);

/**

 * The trigger gate, as a pure function of when acquisition happened: no

 * target, or a target seen less than a reaction ago, is no shot.

 */

export const canFire = (track: Track, now: number): boolean =>

  track.id !== null && now - track.since >= track.reaction;

/**

 * The half-angle the barrel may be wrong by: wide on the swing, settling

 * toward the floor the longer one target is held, and wider again for a

 * target crossing the view (`crossing` is 0 for still, 1 for a full run).

 */

export function aimCone(held: number, crossing: number): number {

  return CONE_FLOOR + CONE_SWING * Math.exp(-Math.max(0, held) / SETTLE) + CONE_MOVE * clamp01(crossing);

}

/**

 * Point the track at a target. A different target — or the same one after

 * the hold was forgotten — starts a fresh hold: a new reaction to serve and

 * an error drawn anywhere in the swing cone.

 */

export function acquire(track: Track, id: string, now: number, at: Point, roll: () => number): void {

  if (track.id !== id || now - track.seen > FORGET || now < track.since) {

    track.id = id;

    track.since = now;

    track.reaction = reactionTime(roll());

    track.error = (roll() - 0.5) * 2 * aimCone(0, 0);

    track.x = at.x;

    track.y = at.y;

  }

  track.seen = now;

}

/** Nothing in sight. The hold survives a blink, then it is gone. */

export function lose(track: Track, now: number): void {

  if (track.id !== null && now - track.seen > FORGET) track.id = null;

}

/**

 * How fast the target is crossing the bot's line of sight, in units a

 * second. Walking down the barrel is easy to stay on; strafing is not, and

 * it is the part `atan2` to an exact position used to give away for free.

 */

export function crossRate(track: Track, bot: Point, at: Point, dt: number): number {

  const moved = { x: at.x - track.x, y: at.y - track.y };

  track.x = at.x;

  track.y = at.y;

  if (dt <= 0) return 0;

  const ax = at.x - bot.x;

  const ay = at.y - bot.y;

  const len = Math.hypot(ax, ay) || 1;

  return Math.abs(moved.x * (-ay / len) + moved.y * (ax / len)) / dt;

}

/**

 * Wander the error inside the cone and hand it back. It is a held mistake,

 * not fresh noise every tick: noise resampled at 30Hz averages to a perfect

 * barrel over a burst, which is the thing that felt like an aimbot.

 */

export function drift(track: Track, cone: number, dt: number, roll: () => number): number {

  track.error += (roll() - 0.5) * 2 * cone * DRIFT * dt;

  track.error = Math.max(-cone, Math.min(cone, track.error));

  return track.error;

}