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 October 28, 2010, 04:30 #11 Nate Rookie   Join Date: Mar 2010 Posts: 19 Thanks for the lead PowerDiver. This is an old thread. I'm actually asking a couple new questions at the bottom of the thread re: how the M5 works in the d5M5 part of the ROS calculation. It seemed related to the thread but I probably should have started a new one. Sorry!
 October 28, 2010, 05:00 #12 Derakon Prophet     Join Date: Dec 2009 Posts: 8,542 As the object.txt file notes, "M5" means to call m_bonus with a "max" argument of 5 and a "level" argument of the object's dungeon level. Here's a copy from the comments for that function: Code: ``` * A sample distribution of values from "m_bonus(10, N)" is shown below: * * N 0 1 2 3 4 5 6 7 8 9 10 * --- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- * 0 66.37 13.01 9.73 5.47 2.89 1.31 0.72 0.26 0.12 0.09 0.03 * 8 46.85 24.66 12.13 8.13 4.20 2.30 1.05 0.36 0.19 0.08 0.05 * 16 30.12 27.62 18.52 10.52 6.34 3.52 1.95 0.90 0.31 0.15 0.05 * 24 22.44 15.62 30.14 12.92 8.55 5.30 2.39 1.63 0.62 0.28 0.11 * 32 16.23 11.43 23.01 22.31 11.19 7.18 4.46 2.13 1.20 0.45 0.41 * 40 10.76 8.91 12.80 29.51 16.00 9.69 5.90 3.43 1.47 0.88 0.65 * 48 7.28 6.81 10.51 18.27 27.57 11.76 7.85 4.99 2.80 1.22 0.94 * 56 4.41 4.73 8.52 11.96 24.94 19.78 11.06 7.18 3.68 1.96 1.78 * 64 2.81 3.07 5.65 9.17 13.01 31.57 13.70 9.30 6.04 3.04 2.64 * 72 1.87 1.99 3.68 7.15 10.56 20.24 25.78 12.17 7.52 4.42 4.62 * 80 1.02 1.23 2.78 4.75 8.37 12.04 27.61 18.07 10.28 6.52 7.33 * 88 0.70 0.57 1.56 3.12 6.34 10.06 15.76 30.46 12.58 8.47 10.38 * 96 0.27 0.60 1.25 2.28 4.30 7.60 10.77 22.52 22.51 11.37 16.53 * 104 0.22 0.42 0.77 1.36 2.62 5.33 8.93 13.05 29.54 15.23 22.53 * 112 0.15 0.20 0.56 0.87 2.00 3.83 6.86 10.06 17.89 27.31 30.27 * 120 0.03 0.11 0.31 0.46 1.31 2.48 4.60 7.78 11.67 25.53 45.72 * 128 0.02 0.01 0.13 0.33 0.83 1.41 3.24 6.17 9.57 14.22 64.07``` The "N" column here is the dungeon level; hence, at dungeon level 0, the item has only a .03% chance of getting its full bonus, while at dungeon level 128 it has a 64.07% chance of the full bonus.
 October 28, 2010, 17:13 #13 Nate Rookie   Join Date: Mar 2010 Posts: 19 Cool. So does the sample distribution apply to ROS where a value generated of 5 or higher becomes 5 since the max is 5 or is there a different chart from 0 to 5 for ROS? Thank you for providing this detailed info.
 October 28, 2010, 17:34 #14 Omnipact Rookie   Join Date: Jun 2007 Location: Bristol, UK Posts: 23 The whole table would be used. To get the full 5 bonus at dlv 0 would happen .03% of the time. Don't forget the additional 'super-charging' code in obj-make.c: Code: ```/* Super-charge the ring */ while (randint0(100) < 50) o_ptr->pval++;``` A ring of speed has no upper limit.
October 28, 2010, 17:45   #15
Derakon
Prophet

Join Date: Dec 2009
Posts: 8,542
Quote:
 Originally Posted by Nate Cool. So does the sample distribution apply to ROS where a value generated of 5 or higher becomes 5 since the max is 5 or is there a different chart from 0 to 5 for ROS? Thank you for providing this detailed info.
The table I quoted would be compressed to have 6 columns instead of 11. So yes, there's a "different chart" for each possible max value. Except that there's no actual chart; the table is simply an example of what running the algorithm with a specific max tens of thousands of times generated. I quoted the table because it was easier than trying to explain the actual distribution used.

 October 28, 2010, 18:34 #16 Nate Rookie   Join Date: Mar 2010 Posts: 19 I should be able to generate a chart for the normal distribution from 0-5 from here. Thanks so much Omnipact and Derakon.
 October 28, 2010, 18:57 #17 Nate Rookie   Join Date: Mar 2010 Posts: 19 No, I can't. I see now that the algorithm isn't just a normal distribution between 0-10 and I wouldn't know the std dev if it was. Anyway, I'll look for the algorithm in the code if I really want to do my own chart. Thanks again.
 October 28, 2010, 19:24 #18 AnonymousHero Veteran     Join Date: Jun 2007 Posts: 1,365 EDIT: ... and now I notice that there are two pages in this topic. Oh well. My Vanilla Priest also found a +23. http://angband.oook.cz/ladder-show.php?id=10456
October 28, 2010, 19:43   #19
PowerDiver
Prophet

Join Date: Mar 2008
Posts: 2,712
Quote:
 Originally Posted by Derakon The table I quoted would be compressed to have 6 columns instead of 11. So yes, there's a "different chart" for each possible max value. Except that there's no actual chart; the table is simply an example of what running the algorithm with a specific max tens of thousands of times generated. I quoted the table because it was easier than trying to explain the actual distribution used.
If you already have the work done to calculate this stuff, would you be willing to produce a table of the probabilities of an amulet of the magi dropped for each depth to have a pval of +4?

 October 28, 2010, 20:00 #20 Nate Rookie   Join Date: Mar 2010 Posts: 19 After some hunting, mostly in the object folder, I can't find the pval calculation stuff in the source. I'm assuming this is where the chart Derakon mentions is located. Any leads?

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