zenno/doc/fans: margin is displayed margin
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@@ -12,7 +12,7 @@
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let skills = $state(0);
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let glowsticks = $state(false);
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const marginFans = $derived(fans.marginFans(baseFans, finishOrder, margin / 1.18));
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const marginFans = $derived(fans.marginFans(baseFans, finishOrder, margin));
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const skillFans = $derived(fans.skillFans(baseFans, skills));
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const glowstickBonus = $derived(glowsticks ? 50 : 0);
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const gainedFans = $derived(fans.gained(baseFans, marginFans, skillFans, fanBonus, glowstickBonus));
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@@ -41,11 +41,11 @@
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] as const;
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const marginBonus = [
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['≤3/4 L', 0, 9],
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['3/4 L – 2.5 L', 2, 6],
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['2.5 L – 4 L', 4, 4],
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['4 L – 6 L', 6, 2],
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['>6L', 9, 0],
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['Nose – 3/4 L', 0, 9],
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['1 L – 2.5 L', 2, 6],
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['3 L – 4 L', 4, 4],
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['5 L – 6 L', 6, 2],
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['7L – distance', 9, 0],
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] as const;
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const skillBonus = [
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@@ -83,11 +83,7 @@
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{/snippet}
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<Sec h={2} id="calc-fans">Calculate Fans</Sec>
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<p>
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This tool will calculate your exact fan gain from a race. Due to some <a href="#margin">internal details</a>, the margin
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displayed in game may differ by up to a length from the margin used to calculate fans. (This calculator takes displayed
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margin, so its report can differ from actual gains in edge cases.)
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</p>
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<p>This tool will calculate your exact fan gain from a race.</p>
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<form class="mx-auto mb-4 grid grid-cols-1 gap-2 rounded-md p-4 text-center shadow-md ring md:max-w-2xl md:grid-cols-3">
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<div>
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<label for="calc-base-fans">Base Fans</label>
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@@ -148,20 +144,6 @@
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When the trainee places in the top three (top five?), she receives a bonus percentage of base fans according to the finish
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margin.
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</p>
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<p>
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For the purpose of this calculation, "margin" is defined as the distance covered moving at 15 m/s since the time the first
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horse crossed the goal line. I.e., we observe the exact margin used to calculate fans from race replay data. The <i
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>displayed</i
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>
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margin in the game is
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<a
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href="https://docs.google.com/document/d/15VzW9W2tXBBTibBRbZ8IVpW6HaMX8H0RP03kq6Az7Xg/edit?tab=t.0#heading=h.p0458fiye6y9"
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target="_blank"
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rel="noopener noreferrer">scaled by a factor of 1.18</a
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>
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to derive the margin label (e.g. ½L instead of 0.7L). Because of this scaling and rounding, using the margin displayed in game
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to calculate fans may underestimate the gain, particularly for displayed margins of 2½L, 5L, or 6L.
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</p>
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<p>
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The bonus depends on whether the trainee won the race. If so, it is calculated by her margin versus second place. Otherwise,
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her total margin behind the winner is used. If she did not place in the top three (top five?), then she gains no fans from
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@@ -223,14 +205,16 @@
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rel="noopener noreferrer">Umadump</a
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>. The races come from sixteen careers run between 19 Aug and 11 Oct 2026. These careers include five different values of race
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bonus ranging from 55 to 105. The identified formula predicts the actual fan gain perfectly for all of the races. You can
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<a href={asset('/career_fan_gain_summary_193.csv')} download>download a summary</a>.
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<a
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href="https://docs.google.com/spreadsheets/d/1_jtOv6qk9dP4jJTagJqG53Pvj48IVd6gl2zKpyT6Kvs/edit?gid=463816108#gid=463816108"
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target="_blank"
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rel="noopener noreferrer">view the data</a
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>.
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</p>
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<p>
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There are some gaps in the data. Moxa's original data that was used to establish that the margin bonus uses actual rather than
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displayed margin was lost, so that conclusion is based on past discussion rather than available data. No collected race had a
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finish placement of 4th or 5th, nor lower than 6th, so the exact details of the win margin fan bonus remain open. Similarly,
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no race featured a trainee who activated more than ten skills, so it is unknown whether there are further tiers of skill
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activation count fan bonus.
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There are some gaps in the data. No collected race had a finish placement of 4th or 5th, nor lower than 6th, so the exact
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details of the win margin fan bonus remain open. Similarly, no race featured a trainee who activated more than ten skills, so
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it is unknown whether there are further tiers of skill activation count fan bonus.
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</p>
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<p>
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Once these edge cases are covered, this article will be updated. If you'd like to contribute, please contact me
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