Difference between revisions of "Template:Actual Age"
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The reason for this weirdness is because the amount the growth stat increases each tick is proportional to <code>1/ticks_to_adulthood</code>, where ticks_to_adulthood is simply the def file's adult_age expressed in ticks. The consequence of growth updating this way is that initially, the growth stat will increase slowly, and then as the animal approaches 100% growth, it increases faster. | The reason for this weirdness is because the amount the growth stat increases each tick is proportional to <code>1/ticks_to_adulthood</code>, where ticks_to_adulthood is simply the def file's adult_age expressed in ticks. The consequence of growth updating this way is that initially, the growth stat will increase slowly, and then as the animal approaches 100% growth, it increases faster. | ||
| + | |||
| + | ===Maths=== | ||
| + | :<code>actual_adult_age = sum from t=1 to adult_age_in_ticks: 1/(adult_age_in_ticks - t)<br>which trends to (1-1/e)×adult_age as adult_age_in_ticks trends to infinity</code> | ||
| + | |||
| + | |||
| + | :<code>actual_juvenile_age = sum from t=1 to adult_age_in_ticks*(juvenile_age/adult_age): 1/(adult_age_in_ticks - t)<br> which trends to (1-1/e^(juvenile_age/adult_age))×adult_age as adult_age_in_ticks trends to infinity</code> | ||
==Example uses== | ==Example uses== | ||
Revision as of 10:34, 30 September 2021
Returns the actual age at which an animal will reach a life stage age listed in its def files.
Parameters
- adult_age - this has to be the adult_age listed in the animal's def xml, or seen in the in-game information window
- juvenile_age - if a second parameter is given, the number returned will be the actual juvenile age. This number must be found from the defs files.
Formula used
actual_juvenile_age = (1-1/e^(juvenile_age/adult_age))×adult_age
actual_adult_age = (1-1/e)×adult_age
Explanation
If the values from the defs files were to be believed as-is, you would expect to see (0.3333-0.25)*60 = 5 days of juvenile stage for horses. However, the time they actually spend in game as a juvenile is only about 2 days. This method accurately predicts this.
The reason for this weirdness is because the amount the growth stat increases each tick is proportional to 1/ticks_to_adulthood, where ticks_to_adulthood is simply the def file's adult_age expressed in ticks. The consequence of growth updating this way is that initially, the growth stat will increase slowly, and then as the animal approaches 100% growth, it increases faster.
Maths
actual_adult_age = sum from t=1 to adult_age_in_ticks: 1/(adult_age_in_ticks - t)
which trends to (1-1/e)×adult_age as adult_age_in_ticks trends to infinity
actual_juvenile_age = sum from t=1 to adult_age_in_ticks*(juvenile_age/adult_age): 1/(adult_age_in_ticks - t)
which trends to (1-1/e^(juvenile_age/adult_age))×adult_age as adult_age_in_ticks trends to infinity
Example uses
- Horse adult: {{Actual Age|0.3333}} -> 0.21068578097385
- Horse juvenile: {{Actual Age|0.3333|0.25}} -> 0.17587203545609
- Fox juvenile: {{Actual Age|0.3333|0.1}} -> 0.086392694342281