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Offline eaglgenes101

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Re: Score Versus Arena Level Table http://elementscommunity.org/forum/index.php?topic=28283.msg1113414#msg1113414
« Reply #12 on: December 05, 2013, 07:54:44 AM »
Because floating point is weird.
 http://www.smbc-comics.com/?id=2999
My 3 game-modification principles:
1. If it ain't broke, don't wreck it.
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Offline antiaverage

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Re: Score Versus Arena Level Table http://elementscommunity.org/forum/index.php?topic=28283.msg1205801#msg1205801
« Reply #13 on: September 17, 2015, 12:22:52 AM »
For people wondering about levels over 80 or wanting to play with the formula, here's a quick jsfiddle:
https://jsfiddle.net/7sg3ha3s/2/light/

Interactive:

Just type a level or score into a box and press enter.
« Last Edit: October 25, 2015, 11:35:42 PM by antiaverage »
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Offline antiaverage

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Re: Score Versus Arena Level Table http://elementscommunity.org/forum/index.php?topic=28283.msg1212320#msg1212320
« Reply #14 on: October 25, 2015, 08:45:53 PM »
After some more testing:
https://docs.google.com/spreadsheets/d/1Nno5CI08vyPQq47kRMaxUdagMx2laYilHVhar8G2LSY/edit?usp=sharing

It looks like the logical constant (best choice for each level progressing towards a level 80 requiring a score of 10^5 or 1,000,000):
(10^5 - 80^2 + 1)^(1/80) ~= 1.153827820168474...
creates an issue with level 53 being 10 points greater than the table originally provided by Zanzarino.

A constant of 1.153828 used by Elements the Game creates an issue with scores for levels 53, 71, 74, 75, 76, 78, 79, and 80 being 10 points greater than the table originally provided by Zanzarino. This is most likely because of differences in iplementation of floating point math between ActionScript 3 (via the engine used by Flash) and JavaScript.

A constant of 1.15382779 provided by 10 men creates an issue with level 70 being 10 points less than the table originally provided by Zanzarino.

So I have moved to using a constant of 1.1538278 which matches the table originally provided by Zanzarino and hopefully projects past that with more accuracy. Please let me know if you find any problems with this:

LevelScore
801,000,000
811,145,590
821,313,360
831,506,690
841,729,540
851,986,430
862,282,590
872,624,080
883,017,840
893,471,930
903,995,610
914,599,600
925,296,240
936,099,780
947,026,660
958,095,860
969,329,250
9710,752,110
9812,393,560
9914,287,230
10016,471,920
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