zenno: update full charge info with new knowledge

zenno/src/lib/race.ts

@@ -771,16 +771,17 @@ export function conservePowerAccel(
 	distanceType: Distance,
 	style: RunningStyle,
 	rawPower: number,
+	basePower: number,
 	powerSkillBonus?: number,
 	spotStruggled?: boolean,
 	rushed?: boolean,
 ): number {
-	const power = rawPower + (powerSkillBonus ?? 0);
+	const power = basePower + 0.5 * Math.max(rawPower - 1200, 0) + (powerSkillBonus ?? 0);
 	if (power <= 1200) {
 		return 0;
 	}
 	const sdc = conserveStratDistCoef[style][distanceType];
-	const activity = rushed ? 0.8 : spotStruggled ? 0.98 : 1;
+	const activity = (rushed ? 0.8 : 1) * (spotStruggled ? 0.98 : 1);
 	return Math.sqrt((power - 1200) * 130) * 0.001 * sdc * activity;
 }
 

zenno/src/routes/doc/frbm/+page.svelte

@@ -224,10 +224,10 @@
 				},
 	]);
 	const fcSeries: ComputedSeries[] = $derived([
-		{ label: 'Front Runner', y: (x) => conservePowerAccel(distance(raceLen), RunningStyle.FrontRunner, x) },
+		{ label: 'Front Runner', y: (x, raw) => conservePowerAccel(distance(raceLen), RunningStyle.FrontRunner, raw, x) },
-		{ label: 'Pace Chaser', y: (x) => conservePowerAccel(distance(raceLen), RunningStyle.PaceChaser, x) },
+		{ label: 'Pace Chaser', y: (x, raw) => conservePowerAccel(distance(raceLen), RunningStyle.PaceChaser, raw, x) },
-		{ label: 'Late Surger', y: (x) => conservePowerAccel(distance(raceLen), RunningStyle.LateSurger, x) },
+		{ label: 'Late Surger', y: (x, raw) => conservePowerAccel(distance(raceLen), RunningStyle.LateSurger, raw, x) },
-		{ label: 'End Closer', y: (x) => conservePowerAccel(distance(raceLen), RunningStyle.EndCloser, x) },
+		{ label: 'End Closer', y: (x, raw) => conservePowerAccel(distance(raceLen), RunningStyle.EndCloser, raw, x) },
 	]);
 </script>
 
@@ -528,9 +528,8 @@
 		</div>
 	</div>
 	<p>
-		The exact mechanics of conserving power are unclear at this time. What has been confirmed is that rushed and <a
+		Rushed and <a href="#spot-struggle">spot struggle</a> reduce both the duration and effectiveness of full charge, potentially to
-			href="#spot-struggle">spot struggle</a
+		zero. In practice, this appears to be a concern primarily on sprints, which already have a -55% penalty to full charge duration.
-		> both reduce the chance for it to fire.
 	</p>
 
 	<Sec h={3} id="lane-combo">Lane Combo</Sec>

zenno/src/routes/doc/race/+page.svelte

@@ -58,10 +58,10 @@
 	]);
 	const laneChange: ComputedSeries[] = [{ label: 'Lane Change Target Speed', y: (x) => race.laneChangeSpeed(x) }];
 	const conservePower: Array<ComputedSeries | null> = $derived([
-		{ label: 'Conserved Power', y: (_raw, x) => race.conservePowerAccel(distanceType, style, x, 0, false, false) },
+		{ label: 'Conserved Power', y: (x, raw) => race.conservePowerAccel(distanceType, style, raw, x, 0, false, false) },
-		{ label: 'Rushed', y: (_raw, x) => race.conservePowerAccel(distanceType, style, x, 0, false, true) },
+		{ label: 'Rushed', y: (x, raw) => race.conservePowerAccel(distanceType, style, raw, x, 0, false, true) },
 		styleIsFront
-			? { label: 'Spot Struggled', y: (_raw, x) => race.conservePowerAccel(distanceType, style, x, 0, true, false) }
+			? { label: 'Spot Struggled', y: (x, raw) => race.conservePowerAccel(distanceType, style, raw, x, 0, true, false) }
 			: null,
 	]);
 	const gutsSpurt: Array<ComputedSeries | null> = $derived([
@@ -329,11 +329,16 @@
 		Bonus acceleration at spurt start from the Charge Up/Fully Charged mechanic. Scales with base power plus passive skills, so
 		modifiers for ground conditions and career mode do not apply.
 	</p>
-	<p>
-		This mechanic does not appear to be well understood, in particular how long the acceleration bonus lasts and how the rushed
-		and spot struggle multipliers apply.
-	</p>
 	{@render statChart(race.Stat.Power, conservePower, 'Acceleration (m/s²)', [0, 0.35], { len: true, style: true })}
+	<p>
+		The duration of Fully Charged does not depend directly on stats, but rather on a hidden <i>conserved power</i> value which
+		increases per horse throughout the race. Conserved power does not increase while <a href="#spot-struggle">spot struggling</a>,
+		so for front runners, the duration may scale negatively with guts. It also does not increase while running in any
+		<a href="#poskeep">position keep mode</a>
+		other than pace-down, so its duration may have a very slight negative correlation with wit.
+		<a href="#rushed">Rushed</a> additionally prevents accumulating conserved power, so full charge duration may scale positively with
+		wit amortized across races. Otherwise, power conservation rate depends on running style.
+	</p>
 
 	<Sec h={2} id="guts">Guts</Sec>