Drift now takes &T -> &T and is generic over the time axis. Untimed impls return elapsed=0. ConstantDrift impl covers all T via the Time trait. An additional variance_for_elapsed(i64) method on the trait serves callers that work with the pre-cached i64 elapsed count. Competitor.last_time moves from i64 with MIN sentinel to Option<T> with None sentinel. receive(&T) computes variance from last_time dynamically; receive_for_elapsed(i64) uses a pre-cached elapsed count (needed in convergence sweeps where last_time has already advanced). TimeSlice.time changes from i64 to T. compute_elapsed is now generic over T and takes Option<&T> for the last-seen time. new_forward_info uses receive_for_elapsed to preserve the cached elapsed during sweeps. History<D> becomes History<T, D>; HistoryBuilder<D> becomes HistoryBuilder<T, D>; Game<D> becomes Game<T, D>. Defaults keep existing call sites compiling with zero changes: T = i64, D = ConstantDrift. add_events / add_events_with_prior stay on impl History<i64, D> since times: Vec<i64> is i64-specific (Task 8 will generalise this). In !self.time mode the old i64::MAX sentinel guaranteed elapsed=1 for every slice transition regardless of time gaps. Replaced by advancing all previously-seen agents' last_time to Some(current_slice_time) at the end of each slice; this preserves elapsed=1 between adjacent slices in sequential-integer untimed mode. The time: bool field on History and .time(bool) on HistoryBuilder are NOT removed by this task — deferred to Task 8 so this commit is purely a type-level generification. Part of T2 of docs/superpowers/specs/2026-04-23-trueskill-engine-redesign-design.md. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
846 lines
25 KiB
Rust
846 lines
25 KiB
Rust
use std::cmp::Ordering;
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use crate::{
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N_INF, N00,
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arena::ScratchArena,
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compute_margin,
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drift::Drift,
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factor::{Factor, trunc::TruncFactor},
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gaussian::Gaussian,
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rating::Rating,
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time::Time,
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tuple_gt, tuple_max,
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};
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#[derive(Debug)]
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pub struct Game<'a, T: Time = i64, D: Drift<T> = crate::drift::ConstantDrift> {
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teams: Vec<Vec<Rating<T, D>>>,
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result: &'a [f64],
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weights: &'a [Vec<f64>],
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p_draw: f64,
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pub(crate) likelihoods: Vec<Vec<Gaussian>>,
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pub(crate) evidence: f64,
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}
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impl<'a, T: Time, D: Drift<T>> Game<'a, T, D> {
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pub fn new(
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teams: Vec<Vec<Rating<T, D>>>,
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result: &'a [f64],
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weights: &'a [Vec<f64>],
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p_draw: f64,
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arena: &mut ScratchArena,
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) -> Self {
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debug_assert!(
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result.len() == teams.len(),
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"result must have the same length as teams"
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);
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debug_assert!(
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weights
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.iter()
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.zip(teams.iter())
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.all(|(w, t)| w.len() == t.len()),
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"weights must have the same dimensions as teams"
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);
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debug_assert!(
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(0.0..1.0).contains(&p_draw),
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"draw probability must be >= 0.0 and < 1.0"
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);
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debug_assert!(
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p_draw > 0.0 || {
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let mut r = result.to_vec();
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r.sort_unstable_by(|a, b| a.partial_cmp(b).unwrap());
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r.windows(2).all(|w| w[0] != w[1])
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},
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"draw must be > 0.0 if there are teams with draw"
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);
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let mut this = Self {
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teams,
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result,
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weights,
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p_draw,
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likelihoods: Vec::new(),
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evidence: 0.0,
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};
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this.likelihoods(arena);
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this
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}
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fn likelihoods(&mut self, arena: &mut ScratchArena) {
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arena.reset();
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let n_teams = self.teams.len();
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// Sort teams by result descending; reuse arena.sort_buf to avoid allocation.
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arena.sort_buf.extend(0..n_teams);
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arena.sort_buf.sort_by(|&i, &j| {
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self.result[j]
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.partial_cmp(&self.result[i])
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.unwrap_or(Ordering::Equal)
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});
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// Team performance priors written into arena buffer (capacity reused across games).
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arena.team_prior.extend(arena.sort_buf.iter().map(|&t| {
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self.teams[t]
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.iter()
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.zip(self.weights[t].iter())
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.fold(N00, |p, (player, &w)| p + (player.performance() * w))
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}));
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let n_diffs = n_teams.saturating_sub(1);
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// One TruncFactor per adjacent sorted-team pair; each owns a diff VarId.
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// trunc stays local (fresh state per game; Vec capacity is typically small).
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let mut trunc: Vec<TruncFactor> = (0..n_diffs)
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.map(|i| {
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let tie = self.result[arena.sort_buf[i]] == self.result[arena.sort_buf[i + 1]];
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let margin = if self.p_draw == 0.0 {
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0.0
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} else {
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let a: f64 = self.teams[arena.sort_buf[i]]
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.iter()
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.map(|p| p.beta.powi(2))
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.sum();
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let b: f64 = self.teams[arena.sort_buf[i + 1]]
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.iter()
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.map(|p| p.beta.powi(2))
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.sum();
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compute_margin(self.p_draw, (a + b).sqrt())
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};
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let vid = arena.vars.alloc(N_INF);
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TruncFactor::new(vid, margin, tie)
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})
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.collect();
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// Per-team messages from neighbouring RankDiff factors (replaces TeamMessage).
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arena.lhood_lose.resize(n_teams, N_INF);
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arena.lhood_win.resize(n_teams, N_INF);
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let mut step = (f64::INFINITY, f64::INFINITY);
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let mut iter = 0;
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while tuple_gt(step, 1e-6) && iter < 10 {
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step = (0.0_f64, 0.0_f64);
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// Forward sweep: diffs 0 .. n_diffs-2 (all but the last).
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for (e, tf) in trunc[..n_diffs.saturating_sub(1)].iter_mut().enumerate() {
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let pw = arena.team_prior[e] * arena.lhood_lose[e];
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let pl = arena.team_prior[e + 1] * arena.lhood_win[e + 1];
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let raw = pw - pl;
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arena.vars.set(tf.diff, raw * tf.msg);
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let d = tf.propagate(&mut arena.vars);
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step = tuple_max(step, d);
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let new_ll = pw - tf.msg;
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step = tuple_max(step, arena.lhood_lose[e + 1].delta(new_ll));
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arena.lhood_lose[e + 1] = new_ll;
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}
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// Backward sweep: diffs n_diffs-1 .. 1 (reverse, all but the first).
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for (rev_i, tf) in trunc[1..].iter_mut().rev().enumerate() {
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let e = n_diffs - 1 - rev_i;
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let pw = arena.team_prior[e] * arena.lhood_lose[e];
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let pl = arena.team_prior[e + 1] * arena.lhood_win[e + 1];
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let raw = pw - pl;
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arena.vars.set(tf.diff, raw * tf.msg);
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let d = tf.propagate(&mut arena.vars);
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step = tuple_max(step, d);
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let new_lw = pl + tf.msg;
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step = tuple_max(step, arena.lhood_win[e].delta(new_lw));
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arena.lhood_win[e] = new_lw;
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}
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iter += 1;
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}
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// Special case: exactly 1 diff (2-team game); loop body was empty.
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if n_diffs == 1 {
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let raw = (arena.team_prior[0] * arena.lhood_lose[0])
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- (arena.team_prior[1] * arena.lhood_win[1]);
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arena.vars.set(trunc[0].diff, raw * trunc[0].msg);
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trunc[0].propagate(&mut arena.vars);
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}
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// Boundary updates: close the chain at both ends.
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if n_diffs > 0 {
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let pl1 = arena.team_prior[1] * arena.lhood_win[1];
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arena.lhood_win[0] = pl1 + trunc[0].msg;
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let pw_last = arena.team_prior[n_teams - 2] * arena.lhood_lose[n_teams - 2];
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arena.lhood_lose[n_teams - 1] = pw_last - trunc[n_diffs - 1].msg;
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}
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// Evidence = product of per-diff evidences (each cached on first propagation).
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self.evidence = trunc
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.iter()
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.map(|t| t.evidence_cached.unwrap_or(1.0))
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.product();
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// Inverse permutation: inv_buf[orig_i] = sorted_i.
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arena.inv_buf.resize(n_teams, 0);
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for (si, &orig_i) in arena.sort_buf.iter().enumerate() {
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arena.inv_buf[orig_i] = si;
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}
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self.likelihoods = self
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.teams
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.iter()
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.zip(self.weights.iter())
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.enumerate()
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.map(|(orig_i, (players, weights))| {
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let si = arena.inv_buf[orig_i];
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let m = arena.lhood_win[si] * arena.lhood_lose[si];
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let performance = players
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.iter()
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.zip(weights.iter())
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.fold(N00, |p, (player, &w)| p + (player.performance() * w));
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players
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.iter()
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.zip(weights.iter())
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.map(|(player, &w)| {
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((m - performance.exclude(player.performance() * w)) * (1.0 / w))
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.forget(player.beta.powi(2))
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})
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.collect::<Vec<_>>()
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})
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.collect::<Vec<_>>();
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}
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pub fn posteriors(&self) -> Vec<Vec<Gaussian>> {
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self.likelihoods
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.iter()
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.zip(self.teams.iter())
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.map(|(l, t)| {
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l.iter()
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.zip(t.iter())
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.map(|(&l, p)| l * p.prior)
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.collect::<Vec<_>>()
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})
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.collect::<Vec<_>>()
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}
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}
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#[cfg(test)]
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mod tests {
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use ::approx::assert_ulps_eq;
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use super::*;
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use crate::{ConstantDrift, GAMMA, Gaussian, N_INF, Rating, arena::ScratchArena};
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type R = Rating<i64, ConstantDrift>;
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#[test]
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fn test_1vs1() {
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let t_a = R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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);
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let t_b = R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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);
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let w = [vec![1.0], vec![1.0]];
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let g = Game::new(
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vec![vec![t_a], vec![t_b]],
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&[0.0, 1.0],
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&w,
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0.0,
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&mut ScratchArena::new(),
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);
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let p = g.posteriors();
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let a = p[0][0];
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let b = p[1][0];
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assert_ulps_eq!(a, Gaussian::from_ms(20.794779, 7.194481), epsilon = 1e-6);
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assert_ulps_eq!(b, Gaussian::from_ms(29.205220, 7.194481), epsilon = 1e-6);
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let t_a = R::new(
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Gaussian::from_ms(29.0, 1.0),
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25.0 / 6.0,
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ConstantDrift(GAMMA),
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);
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let t_b = R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(GAMMA),
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);
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let w = [vec![1.0], vec![1.0]];
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let g = Game::new(
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vec![vec![t_a], vec![t_b]],
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&[0.0, 1.0],
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&w,
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0.0,
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&mut ScratchArena::new(),
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);
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let p = g.posteriors();
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let a = p[0][0];
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let b = p[1][0];
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assert_ulps_eq!(a, Gaussian::from_ms(28.896475, 0.996604), epsilon = 1e-6);
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assert_ulps_eq!(b, Gaussian::from_ms(32.189211, 6.062063), epsilon = 1e-6);
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let t_a = R::new(Gaussian::from_ms(1.139, 0.531), 1.0, ConstantDrift(0.2125));
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let t_b = R::new(Gaussian::from_ms(15.568, 0.51), 1.0, ConstantDrift(0.2125));
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let w = [vec![1.0], vec![1.0]];
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let g = Game::new(
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vec![vec![t_a], vec![t_b]],
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&[0.0, 1.0],
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&w,
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0.0,
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&mut ScratchArena::new(),
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);
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assert_eq!(g.likelihoods[0][0], N_INF);
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assert_eq!(g.likelihoods[1][0], N_INF);
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}
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#[test]
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fn test_1vs1vs1() {
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let teams = vec![
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vec![R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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)],
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vec![R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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)],
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vec![R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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)],
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];
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let w = [vec![1.0], vec![1.0], vec![1.0]];
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let g = Game::new(
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teams.clone(),
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&[1.0, 2.0, 0.0],
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&w,
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0.0,
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&mut ScratchArena::new(),
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);
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let p = g.posteriors();
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let a = p[0][0];
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let b = p[1][0];
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assert_ulps_eq!(a, Gaussian::from_ms(25.000000, 6.238469), epsilon = 1e-6);
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assert_ulps_eq!(b, Gaussian::from_ms(31.311358, 6.698818), epsilon = 1e-6);
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let w = [vec![1.0], vec![1.0], vec![1.0]];
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let g = Game::new(
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teams.clone(),
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&[2.0, 1.0, 0.0],
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&w,
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0.0,
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&mut ScratchArena::new(),
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);
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let p = g.posteriors();
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let a = p[0][0];
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let b = p[1][0];
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assert_ulps_eq!(a, Gaussian::from_ms(31.311358, 6.698818), epsilon = 1e-6);
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assert_ulps_eq!(b, Gaussian::from_ms(25.000000, 6.238469), epsilon = 1e-6);
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let w = [vec![1.0], vec![1.0], vec![1.0]];
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let g = Game::new(teams, &[1.0, 2.0, 0.0], &w, 0.5, &mut ScratchArena::new());
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let p = g.posteriors();
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let a = p[0][0];
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let b = p[1][0];
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let c = p[2][0];
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// T1 ULP shift: mu rounds to 25.0 (was 24.999999) under natural-parameter storage.
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assert_ulps_eq!(a, Gaussian::from_ms(25.0, 6.092561), epsilon = 1e-6);
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assert_ulps_eq!(b, Gaussian::from_ms(33.379314, 6.483575), epsilon = 1e-6);
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assert_ulps_eq!(c, Gaussian::from_ms(16.620685, 6.483575), epsilon = 1e-6);
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}
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#[test]
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fn test_1vs1_draw() {
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let t_a = R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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);
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let t_b = R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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);
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let w = [vec![1.0], vec![1.0]];
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let g = Game::new(
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vec![vec![t_a], vec![t_b]],
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&[0.0, 0.0],
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&w,
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0.25,
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&mut ScratchArena::new(),
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);
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let p = g.posteriors();
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let a = p[0][0];
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let b = p[1][0];
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assert_ulps_eq!(a, Gaussian::from_ms(24.999999, 6.469480), epsilon = 1e-6);
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assert_ulps_eq!(b, Gaussian::from_ms(24.999999, 6.469480), epsilon = 1e-6);
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let t_a = R::new(
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Gaussian::from_ms(25.0, 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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);
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let t_b = R::new(
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Gaussian::from_ms(29.0, 2.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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);
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let w = [vec![1.0], vec![1.0]];
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let g = Game::new(
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vec![vec![t_a], vec![t_b]],
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&[0.0, 0.0],
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&w,
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0.25,
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&mut ScratchArena::new(),
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);
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let p = g.posteriors();
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let a = p[0][0];
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let b = p[1][0];
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assert_ulps_eq!(a, Gaussian::from_ms(25.736001, 2.709956), epsilon = 1e-6);
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assert_ulps_eq!(b, Gaussian::from_ms(28.672888, 1.916471), epsilon = 1e-6);
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}
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|
|
#[test]
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|
fn test_1vs1vs1_draw() {
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|
let t_a = R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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);
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let t_b = R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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);
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let t_c = R::new(
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Gaussian::from_ms(25.0, 25.0 / 3.0),
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25.0 / 6.0,
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ConstantDrift(25.0 / 300.0),
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);
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|
|
let w = [vec![1.0], vec![1.0], vec![1.0]];
|
|
let g = Game::new(
|
|
vec![vec![t_a], vec![t_b], vec![t_c]],
|
|
&[0.0, 0.0, 0.0],
|
|
&w,
|
|
0.25,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
let a = p[0][0];
|
|
let b = p[1][0];
|
|
let c = p[2][0];
|
|
|
|
// Goldens updated for natural-parameter storage: mu rounds to 25.0 (was 24.999999),
|
|
// sigma shifts by ~3e-7 ULPs (within 1e-6 of original). Both bounded differences.
|
|
assert_ulps_eq!(a, Gaussian::from_ms(25.0, 5.729069), epsilon = 1e-6);
|
|
assert_ulps_eq!(b, Gaussian::from_ms(25.0, 5.707424), epsilon = 1e-6);
|
|
assert_ulps_eq!(c, Gaussian::from_ms(25.0, 5.729069), epsilon = 1e-6);
|
|
|
|
let t_a = R::new(
|
|
Gaussian::from_ms(25.0, 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(25.0 / 300.0),
|
|
);
|
|
let t_b = R::new(
|
|
Gaussian::from_ms(25.0, 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(25.0 / 300.0),
|
|
);
|
|
let t_c = R::new(
|
|
Gaussian::from_ms(29.0, 2.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(25.0 / 300.0),
|
|
);
|
|
|
|
let w = [vec![1.0], vec![1.0], vec![1.0]];
|
|
let g = Game::new(
|
|
vec![vec![t_a], vec![t_b], vec![t_c]],
|
|
&[0.0, 0.0, 0.0],
|
|
&w,
|
|
0.25,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
let a = p[0][0];
|
|
let b = p[1][0];
|
|
let c = p[2][0];
|
|
|
|
assert_ulps_eq!(a, Gaussian::from_ms(25.488507, 2.638208), epsilon = 1e-6);
|
|
assert_ulps_eq!(b, Gaussian::from_ms(25.510671, 2.628751), epsilon = 1e-6);
|
|
assert_ulps_eq!(c, Gaussian::from_ms(28.555920, 1.885689), epsilon = 1e-6);
|
|
}
|
|
|
|
#[test]
|
|
fn test_2vs1vs2_mixed() {
|
|
let t_a = vec![
|
|
R::new(
|
|
Gaussian::from_ms(12.0, 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(25.0 / 300.0),
|
|
),
|
|
R::new(
|
|
Gaussian::from_ms(18.0, 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(25.0 / 300.0),
|
|
),
|
|
];
|
|
let t_b = vec![R::new(
|
|
Gaussian::from_ms(30.0, 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(25.0 / 300.0),
|
|
)];
|
|
let t_c = vec![
|
|
R::new(
|
|
Gaussian::from_ms(14.0, 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(25.0 / 300.0),
|
|
),
|
|
R::new(
|
|
Gaussian::from_ms(16., 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(25.0 / 300.0),
|
|
),
|
|
];
|
|
|
|
let w = [vec![1.0, 1.0], vec![1.0], vec![1.0, 1.0]];
|
|
let g = Game::new(
|
|
vec![t_a, t_b, t_c],
|
|
&[1.0, 0.0, 0.0],
|
|
&w,
|
|
0.25,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(p[0][0], Gaussian::from_ms(13.051, 2.864), epsilon = 1e-3);
|
|
assert_ulps_eq!(p[0][1], Gaussian::from_ms(19.051, 2.864), epsilon = 1e-3);
|
|
assert_ulps_eq!(p[1][0], Gaussian::from_ms(29.292, 2.764), epsilon = 1e-3);
|
|
assert_ulps_eq!(p[2][0], Gaussian::from_ms(13.658, 2.813), epsilon = 1e-3);
|
|
assert_ulps_eq!(p[2][1], Gaussian::from_ms(15.658, 2.813), epsilon = 1e-3);
|
|
}
|
|
|
|
#[test]
|
|
fn test_1vs1_weighted() {
|
|
let w_a = vec![1.0];
|
|
let w_b = vec![2.0];
|
|
|
|
let t_a = vec![R::new(
|
|
Gaussian::from_ms(25.0, 25.0 / 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(0.0),
|
|
)];
|
|
let t_b = vec![R::new(
|
|
Gaussian::from_ms(25.0, 25.0 / 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(0.0),
|
|
)];
|
|
|
|
let w = [w_a, w_b];
|
|
let g = Game::new(
|
|
vec![t_a.clone(), t_b.clone()],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(
|
|
p[0][0],
|
|
Gaussian::from_ms(30.625173, 7.765472),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][0],
|
|
Gaussian::from_ms(13.749653, 5.733840),
|
|
epsilon = 1e-6
|
|
);
|
|
|
|
let w_a = vec![1.0];
|
|
let w_b = vec![0.7];
|
|
|
|
let w = [w_a, w_b];
|
|
let g = Game::new(
|
|
vec![t_a.clone(), t_b.clone()],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(
|
|
p[0][0],
|
|
Gaussian::from_ms(27.630080, 7.206676),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][0],
|
|
Gaussian::from_ms(23.158943, 7.801628),
|
|
epsilon = 1e-6
|
|
);
|
|
|
|
let w_a = vec![1.6];
|
|
let w_b = vec![0.7];
|
|
|
|
let w = [w_a, w_b];
|
|
let g = Game::new(
|
|
vec![t_a, t_b],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(
|
|
p[0][0],
|
|
Gaussian::from_ms(26.142438, 7.573088),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][0],
|
|
Gaussian::from_ms(24.500183, 8.193278),
|
|
epsilon = 1e-6
|
|
);
|
|
|
|
let w_a = vec![1.0];
|
|
let w_b = vec![0.0];
|
|
|
|
let t_a = vec![R::new(Gaussian::from_ms(2.0, 6.0), 1.0, ConstantDrift(0.0))];
|
|
let t_b = vec![R::new(Gaussian::from_ms(2.0, 6.0), 1.0, ConstantDrift(0.0))];
|
|
|
|
let w = [w_a, w_b];
|
|
let g = Game::new(
|
|
vec![t_a, t_b],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(
|
|
p[0][0],
|
|
Gaussian::from_ms(5.557067, 4.052826),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][0],
|
|
Gaussian::from_ms(2.000000, 6.000000),
|
|
epsilon = 1e-6
|
|
);
|
|
|
|
let w_a = vec![1.0];
|
|
let w_b = vec![-1.0];
|
|
|
|
let t_a = vec![R::new(Gaussian::from_ms(2.0, 6.0), 1.0, ConstantDrift(0.0))];
|
|
let t_b = vec![R::new(Gaussian::from_ms(2.0, 6.0), 1.0, ConstantDrift(0.0))];
|
|
|
|
let w = [w_a, w_b];
|
|
let g = Game::new(
|
|
vec![t_a, t_b],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(p[0][0], p[1][0], epsilon = 1e-6);
|
|
}
|
|
|
|
#[test]
|
|
fn test_2vs2_weighted() {
|
|
let t_a = vec![
|
|
R::new(
|
|
Gaussian::from_ms(25.0, 25.0 / 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(0.0),
|
|
),
|
|
R::new(
|
|
Gaussian::from_ms(25.0, 25.0 / 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(0.0),
|
|
),
|
|
];
|
|
let w_a = vec![0.4, 0.8];
|
|
|
|
let t_b = vec![
|
|
R::new(
|
|
Gaussian::from_ms(25.0, 25.0 / 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(0.0),
|
|
),
|
|
R::new(
|
|
Gaussian::from_ms(25.0, 25.0 / 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(0.0),
|
|
),
|
|
];
|
|
let w_b = vec![0.9, 0.6];
|
|
|
|
let w = [w_a, w_b];
|
|
let g = Game::new(
|
|
vec![t_a.clone(), t_b.clone()],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(
|
|
p[0][0],
|
|
Gaussian::from_ms(27.539023, 8.129639),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[0][1],
|
|
Gaussian::from_ms(30.078046, 7.485372),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][0],
|
|
Gaussian::from_ms(19.287197, 7.243465),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][1],
|
|
Gaussian::from_ms(21.191465, 7.867608),
|
|
epsilon = 1e-6
|
|
);
|
|
|
|
let w_a = vec![1.3, 1.5];
|
|
let w_b = vec![0.7, 0.4];
|
|
|
|
let w = [w_a, w_b];
|
|
let g = Game::new(
|
|
vec![t_a.clone(), t_b.clone()],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(
|
|
p[0][0],
|
|
Gaussian::from_ms(25.190190, 8.220511),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[0][1],
|
|
Gaussian::from_ms(25.219450, 8.182783),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][0],
|
|
Gaussian::from_ms(24.897589, 8.300779),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][1],
|
|
Gaussian::from_ms(24.941479, 8.322717),
|
|
epsilon = 1e-6
|
|
);
|
|
|
|
let w_a = vec![1.6, 0.2];
|
|
let w_b = vec![0.7, 2.4];
|
|
|
|
let w = [w_a, w_b];
|
|
let g = Game::new(
|
|
vec![t_a.clone(), t_b.clone()],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(
|
|
p[0][0],
|
|
Gaussian::from_ms(31.674697, 7.501180),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[0][1],
|
|
Gaussian::from_ms(25.834337, 8.320970),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][0],
|
|
Gaussian::from_ms(22.079819, 8.180607),
|
|
epsilon = 1e-6
|
|
);
|
|
assert_ulps_eq!(
|
|
p[1][1],
|
|
Gaussian::from_ms(14.987953, 6.308469),
|
|
epsilon = 1e-6
|
|
);
|
|
|
|
let w = [vec![1.0, 1.0], vec![1.0]];
|
|
let g = Game::new(
|
|
vec![
|
|
t_a.clone(),
|
|
vec![R::new(
|
|
Gaussian::from_ms(25.0, 25.0 / 3.0),
|
|
25.0 / 6.0,
|
|
ConstantDrift(0.0),
|
|
)],
|
|
],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let post_2vs1 = g.posteriors();
|
|
|
|
let w_a = vec![1.0, 1.0];
|
|
let w_b = vec![1.0, 0.0];
|
|
|
|
let w = [w_a, w_b];
|
|
let g = Game::new(
|
|
vec![t_a, t_b.clone()],
|
|
&[1.0, 0.0],
|
|
&w,
|
|
0.0,
|
|
&mut ScratchArena::new(),
|
|
);
|
|
let p = g.posteriors();
|
|
|
|
assert_ulps_eq!(p[0][0], post_2vs1[0][0], epsilon = 1e-6);
|
|
assert_ulps_eq!(p[0][1], post_2vs1[0][1], epsilon = 1e-6);
|
|
assert_ulps_eq!(p[1][0], post_2vs1[1][0], epsilon = 1e-6);
|
|
assert_ulps_eq!(p[1][1], t_b[1].prior, epsilon = 1e-6);
|
|
}
|
|
}
|