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278
Posted by4 days ago
 

Age of Empires II: DE, Major update 81058

ageofempires.com/news/a...
[renderTimi]
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[renderTimi]
 
level 1
* 4 days ago


    Aztec monks with 1/55 HP no longer die when picking up or
    dropping a relic.

This was caused by a floating point rounding error. A unit switching
jobs internally becomes a different unit (i.e. a monk with a relic
becomes a monk without a relic), and when doing that, HP is scaled
proportionally based on the old and new max HP using 32-bit floating
point maths.

The exact formula most likely used to be something like:

float convert_hp(float old_hp, float old_maxhp, float new_maxhp) {
    return new_maxhp * (old_hp / old_maxhp);
}

Due to floating point rounding errors, convert_hp(1, 55, 55) equals
0.999999940395355224609375, which is less than 1, which means the
unit dies.

The same issue plagued Bohemian villagers with enough upgrades (also
55 HP), and could in theory happen to other units with an appropriate
number of max hp that switches jobs (like trebuchet). The smallest
problematic HP values are 41 47, 55, 61, 82, 83, 94, 97, 107, 109,
110, 115, 121, 122, 123, 141, 159, 164, 165, 166, 188, 189, and 194.

If the game used 64-bit floating numbers instead, the same same
problem would happen, but for different max HP values: 49, 98, 103,
107, 161, 187, 196, and 197.

I'm guessing the fix involves either changes to the formula (so it
multiplies first instead of dividing first), a post-calculation
adjustment (numbers between 0.999999 and 1 are rounded up to 1), or
skipping the conversion if max HP is the same.

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level 2
* 4 days ago

Wow, such a niche issue. Was this reported by a player?

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level 2
* 8 hr. ago

For the numbers: 49, 98, 103, 107, 161, 187, 196, and 197 there is an
OEIS sequence https://oeis.org/A309541, for the other numbers in the
previous paragraph there isn't.

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level 2
* 10 hr. ago

An obvious and easy fix would be rounding the float to the nearest
integer before returning them. roundf will be available pretty much
everywhere.

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