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Research: Calculation of gains

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medal 5000
4 years 17 days ago
hi, 

To give you a bit of context. 
Braking: 77/100 vs best team: 100/100
Handling: 76/100 vs best team: 100/100

I chose to invest 22% research on these two aspects and thought that I would gain 6 DP on each of them. (gap of 23 DP vs best team x 22% and round up the result)
But I have received the report that I only gained 5 DP on each of them. 

Can anyone explain why? 

Thank you in advance. 

Greetings, 
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medal 5000 Super Mod
4 years 17 days ago (Last edited by Kevin Bissell 4 years 17 days ago)
It doesn't round up, it rounds to the nearest positive integer.
23 x 0.22 = 5.06 which rounds to 5.
24 x 0.22 = 5.28 which rounds to 5.
If you had been researching your CD strength you would have got 6.
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medal 5000
4 years 16 days ago
I have found the round up calculation in the advanced guide, so I guess this is outdated...
But clear as far as calculations go. :) 
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medal 5000 Super Mod
4 years 16 days ago

Kristof
I have found the round up calculation in the advanced guide, so I guess this is outdated...
But clear as far as calculations go. :) 



Yes, I also used to believe it was rounded up but quite a while ago another very experienced manager contacted me and told me that in his opinion it was just normal rounding. As I say, it appears to round to the nearest positive integer (i.e. not zero). So for calculations which return a result of 0.01 to 0.99 it will round up to 1. This means even if you're only 1dp behind the strongest team in an attribute, researching it will still yield 1dp making you equal strongest after the race. 
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medal 5000 Super Mod
4 years 16 days ago (Last edited by Kevin Bissell 4 years 16 days ago)
Update:

This thread has caused quite a debate amongst the Mods. Popular opinion is that it does indeed round up as per Joey's original guide and perhaps Kristof got his numbers wrong.

You know what design you had Kristof, but are you sure the strongest teams were on 100 for both attributes?
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medal 5000
4 years 13 days ago (Last edited by Kristof Nonjabisnis 4 years 13 days ago)
Kevin
Update:

This thread has caused quite a debate amongst the Mods. Popular opinion is that it does indeed round up as per Joey's original guide and perhaps Kristof got his numbers wrong.

You know what design you had Kristof, but are you sure the strongest teams were on 100 for both attributes?



Hi Kevin, 


Absolutely sure that strongest teams were on 100 for both attributes. 
So curious to hear thoughts of other players. 

Is it possible that the research window after the most recent race and just before the following race can be different? 
I would expect that it should match for 100%, but in some cases I had the feeling that some changes were made by other teams. So for example yesterday after the race team X was the strongest performer with 80% of the total. Just before the next race, team Y passed on as being the strongest team and shows 90% completion. 
Please note that I cannot prove this with actual facts, but I guess we can easily check this. 
Anyhow related to the topic, it can play a role in how research is calculated. Is it based on the levels after the previous race, or based on the levels of the new race...?  

Anyway, I will check in the next seasons if and how my calculations hold up and match with the actual report after the race. 
Again, I do not believe the calculation uses rounds up automatically, unless the calculation shows a figure below 0,5, than it rounds up to 1. In all other cases it rounds to the nearest integer. But it is just a conclusion based on very limited data. 

All the best in 2021. 
 
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medal 4987 Moderator
4 years 12 days ago
Of course it changes. Like yourself everyone can, and in most cases will if active, change their car between races and it can happen anytime up to the last second before lock down. So research is a moving target until the lock down 10 minutes prior to the next race makes the car designs final.
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medal 5000
4 years 10 days ago
Hi all, 

A new update... 
I have joined a new league and as the season is running to it's end, a lot of cars are at the maximum of the big 4!  

Situation before the race: 
Braking: 59 DP vs 200 DP strongest team (gap of 141 DP)
Downforce: 45 DP vs 200 DP strongest team (gap of 155 DP)
Handling: 50 DP vs 200 DP strongest team (gap of 150 DP)

Given these gaps, the fact that my CD has braking as his strength and a research power of 15%, I would have expected following gains. 
Braking: +23DP
Downforce: +23DP
Handling: +23DP

Yet, I have received below report. 
Research gains:
Braking +24
Downforce +23
Handling +22

So again, I do not understand where my calculations were off, certainly on braking and handling. 

Anyone a clue?
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medal 5602 Moderator
4 years 9 days ago
Hi,

What is your research power if you select only one element ? 43% or something like that ?
By selecting 3 areas for your research, I guess you see 15% but in reality it could be 14,33% (43% / 3)

It's just an assumption, but could it make sense ?
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medal 5000 Super Mod
4 years 9 days ago
My L19 team indicates a maximum research power of 44% (when researching a single attribute). If I put your values into my research calculator I get the results you saw:

Notes:

  • The research strength is 44/3 = 14.667 (but as M. Truche says, it displays as 15)

  • I always thought researching CD strength gave a bonus of +10% but to get the same values you experienced I had to increase this to 15% (14.667 x 1.15 = 16.867)

  • The final result of the calculation without rounding are... Braking = 23.782, Downforce = 22.733 and Handling = 22.000)


So it still doesn't prove whether it rounds up or rounds normally because both Braking and Downforce are above X.5

Actually it doesn't prove anything other than you can make the numbers fit a calculation. We don't even know if the maximum research really is 44% behind the scenes or whether it is 43.0001


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medal 5000 Super Mod
4 years 9 days ago
BYW, if you'd only have researched acceleration you would have got an extra 3dp.
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medal 5000
4 years 9 days ago
Hello
 Maybe I can explain both cases ... as the good Joao has explained several times, the search for levels 19 is not 44, but 43,0000000001 which the game shows as 44, but is actually 43.00000000001.
 Now I try to explain the case exposed at the beginning of tread
 Are you sure the best car was at 100 under braking? Did you see it with Google's inspect tool or did you get the screen of that car? Because if you've seen it with Google, the odd numbers are rounded to the next even.
 I tried to re-propose your case in a trial league
 I put 77 and 76 in the two skills, another team at 100 in both and researched in both with a level 19 account, with no strengths / weaknesses.
 In the places where I researched I got:
 Where I was 23 in gap I got 5
 23 * 0.43 / 2 = 4.945 which the game rounds to 5
 Where I had a gap of 24 I got 6
 24 * 0.43 / 2 = 5.16 which the game rounds to 6
 So I can say that if you got 5 and 5 it is because you had a gap of 23 even when braking ... if you had the screen of the car that showed that both skills were at 100, I would not know what to say.

 Now I move on to the second case

 In downforce you got 23 because
 155 * 0.43 / 3 = 22.21 which the game rounds to 23
 In handling you got 22 because
 150 * 0.43 / 3 = 21.5 which the game rounds to 22
 In acc you got 24
 I don't know why ... but I hope I helped you understand the other cases better 




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medal 5000 Super Mod
4 years 9 days ago
It was braking that yielded 24 points, it was his CD strength which boosts the research.
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medal 5000
4 years 9 days ago
But 0.43*141*1.1/3=22.23 which the game rounds to 23...why he get 24?
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medal 5000 Super Mod
4 years 9 days ago
AFAIK, nobody has given a definitive value for the gains you get from CD strength. I always assumed +10% because this appeared to give the correct answer but to get 24 in the above scenario it needs to be a little more than 10%.

If you use 15% it gives 0.43/3 x 1.15 x 141 = 23.2415 which when rounded up is 24. 

The devs have never divulged the calculations they use, this gives the correct values for the original posters experience. All we can do is keep trying until we get a calculation which always gives the correct result. For now I'll continue to use my calculator and report back if I find a scenario that proves it is wrong.
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medal 5000
4 years 9 days ago
I am very very sure it is 10%, otherwise in many cases I would have received more points, but when I checked the search with what I had thought of earning it always matched
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medal 4840
4 years 9 days ago (Last edited by Juanito Jones 4 years 7 days ago)
Kristof
Hi all, 

A new update... 
I have joined a new league and as the season is running to it's end, a lot of cars are at the maximum of the big 4!  

Situation before the race: 
Braking: 59 DP vs 200 DP strongest team (gap of 141 DP)
Downforce: 45 DP vs 200 DP strongest team (gap of 155 DP)
Handling: 50 DP vs 200 DP strongest team (gap of 150 DP)

Given these gaps, the fact that my CD has braking as his strength and a research power of 15%, I would have expected following gains. 
Braking: +23DP
Downforce: +23DP
Handling: +23DP

Yet, I have received below report. 
Research gains:
Braking +24
Downforce +23
Handling +22

So again, I do not understand where my calculations were off, certainly on braking and handling. 

Anyone a clue?



Hey Kristof!

The maximum research possible for a given manager level is: (100 - 3*(Manager_lvl)), in %. So for you is 43%.
As Nicola and Truche pointed out, the values shown on the research page isn't the actual value because of a roundup due to maximum decimal places handled by the game, so 43% is 43.00000001% and shown as 44%.

You joined on race 18, and considering your 5* CD strength and weakness you received DPs as followed:
Braking = 54; Tyre Economy = 27; all others stats = 36 DPs.

So, the gaps were:
Braking = 146; Downforce and Handling = 164, as soon as you joined.

And you spent some DPs too, so it then was:
Braking = 141 (I believe it's 146 without Bridgerock); Downforce = 155; and Handling = 150

Research gains:
Braking = 23.01933333 (24); Downforce = 22.21666667 (23); and Handling = 21.5 (22)

The Chief Design strength bonus is +10% and it's weakness onus is -50%
I believe you looked the values with supplier bonuses, which is wrong, that's why your gain on Braking is higher than we all calculated.
All good with the research points you got (I think).
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medal 5000
4 years 8 days ago (Last edited by Kristof Nonjabisnis 4 years 8 days ago)
M.
Hi,

What is your research power if you select only one element ? 43% or something like that ?
By selecting 3 areas for your research, I guess you see 15% but in reality it could be 14,33% (43% / 3)

It's just an assumption, but could it make sense ?



This was also my thought. While it shows 15% it can be less, explaining the faulty calculations that I have made. 

Interesting points of view from everyone. 

 Kevin Bissell  5046
BYW, if you'd only have researched acceleration you would have got an extra 3dp.


Indeed, thanks for sharing. I would have done that but based on my calculations the focus on 3 skills gave me more DP. 

Maybe I can explain both cases ... as the good Joao has explained several times, the search for levels 19 is not 44, but 43,0000000001 which the game shows as 44, but is actually 43.00000000001.
... And ...
The maximum research possible for a given manager level is: (100 - 3*(20 - Manager_lvl)), in %. So for you is 43%.


I do not understand how this is calculated. Becaused on above formula: 100 - 3*(20-19) = 97. That does not seem correct, right? And how would you come to 43,00000001? What if I get to level 20, what will it be then? 

 Are you sure the best car was at 100 under braking? Did you see it with Google's inspect tool or did you get the screen of that car? Because if you've seen it with Google, the odd numbers are rounded to the next even.


From the research window I could easily see that best performing teams were maxed out on the bar. So 100% meaning 200 DP? 

Research gains:
Braking = 23.01933333 (24); Downforce = 22.21666667 (23); and Handling = 21.5 (22)

The Chief Design strength bonus is +10% and it's weakness onus is -50%
I believe you looked the values with supplier bonuses, which is wrong, that's why your gain on Braking is higher than we all calculated.
All good with the research points you got (I think).


I can guarantee that the DP levels that I have reported do not include the supplier bonuses, because they have not been incorporated in the research overview. (not for my team anyway, so I would guess it is the same for other teams) 
So even if I take 43% as research power instead of 44% (which explains the difference on handling) I do not get a final number of 24. 

However... If I do the following I get to 24 and would like to know what you think of it. 
141 x (0.4300001/3) = 20.21 --> Round-up to 21 --> Add 10% --> 23.10 rounded up is 24
Makes sense or not? 

Thank you guys for the interesting interaction. 

Have a great day. 
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medal 4840
4 years 6 days ago

Kristof Nonjabisnis
Maybe I can explain both cases ... as the good Joao has explained several times, the search for levels 19 is not 44, but 43,0000000001 which the game shows as 44, but is actually 43.00000000001.
... And ...
The maximum research possible for a given manager level is: (100 - 3*(20 - Manager_lvl)), in %. So for you is 43%.

I do not understand how this is calculated. Becaused on above formula: 100 - 3*(20-19) = 97. That does not seem correct, right? And how would you come to 43,00000001? What if I get to level 20, what will it be then? 



You are right, I used my formula (40+3*(20-Manager_lvl)) transformed to 100 - ... but forgot to remove the 20 there.




Research gains:
Braking = 23.01933333 (24); Downforce = 22.21666667 (23); and Handling = 21.5 (22)

The Chief Design strength bonus is +10% and it's weakness onus is -50%
I believe you looked the values with supplier bonuses, which is wrong, that's why your gain on Braking is higher than we all calculated.
All good with the research points you got (I think).

I can guarantee that the DP levels that I have reported do not include the supplier bonuses, because they have not been incorporated in the research overview. (not for my team anyway, so I would guess it is the same for other teams)
So even if I take 43% as research power instead of 44% (which explains the difference on handling) I do not get a final number of 24.

However... If I do the following I get to 24 and would like to know what you think of it.
141 x (0.4300001/3) = 20.21 --> Round-up to 21 --> Add 10% --> 23.10 rounded up is 24
Makes sense or not?

Thank you guys for the interesting interaction.

Have a great day.




No, because I wouldn't be gaining 1 extra DP every time I research my CD's strength ... But this actually raised a doubt on me:

A common thing I saw while doing programing is a function not adding values to the variable correctly if it's in the wrong order or it isn't a number and it doesn't return as a error ... So, maybe when you research more than 1 stat at a time, one of them being the CD strength, the game calculates it wrongly.

If you really had 59DPs on Braking, then the gap was exactly 141 because I was at 200.

We are using: (141 * 0.43 * 1.1) / 3 which would've given you 22.231 (23) points... But instead of doing the sum of the strength bonus inside that bracket, maybe, the game does it externally and it subtracts 1 from the attributes been researched because one of them was researched just before or when the game compares which of the attributes is your CD's strength (It comes back as "true" and not a number "1", and it doesn't return a error message) it gets removed from the division and only the other 2 stats are used on the second part of the formula, so we get:
[141 * (0.43 / 3)] + [(141 * 0.43 * 0.1) / 2] = 23.2415 (24)

Just a HUGE guess though.



Don't hesitate on bringing up this type of insightful discussion!

Have a great day too Kristof!
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medal 5000
3 years 358 days ago
My apologies for the late reply, was kind of busy. 
I have given up to calculate the bonus if you focus on researching on your staff's strenghts. I will be somewhere around 10% more. But I will surely add other examples in the weeks to come. 

Sleep tight to all. 
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