# OBD talk:BINA/PAR3

To value types:

What the both values of the normal distribution stand for?

First value µ (mean) and second value σ (standard deviation)?

Ssg 23:13, 5 December 2007 (CET)

No as far as I can tell. The value is interpolated from an "InverseNormalTable" (0, 0.125, 0.2533, 0.3850, 0.5244, 0.6745, 0.8416, 1.0364, 1.2816, 1.6449, 3.0902, 1.6449, 1.2816, ...). The resulting value is multiplied with the second value and the first value is added to the result, so those 2 value are more like "offset" and "scale". I don't know why the table is called "InverseNormal", maybe this is actually normal inverse distribution but it does not look like so.

Thanks for your answer.

I've googled a (long) bit for that "InverseNormalTable". It seems to be okay. This table is also called "inverse standardized normal distribution" (see http://web.archive.org/web/20151010142712/http://files.hanser.de/hanser/docs/20040419_24419112747-75_3-446-21594-8Anhang2.pdf)

The equation for the inverse normal distribution is: x = σ * z + µ

with:

- x = result
- z = looked up in the z-table (the z-table here is the InverseNormalTable)
- µ = mean
- σ = standard deviation

Unfortunately I've no idea what's the basis for Oni's interpolation (IMO Oni needs an entry point for the table), so I haven't got a clue what the result is for.

Ssg 20:26, 6 December 2007 (CET)

The interpolation is easy: it picks a random number between -9.99 and 9.99 and it uses it to interpolate the table (linear interpolation).

And I don't know if you noticed, the WMDD for values says "Bell Curve" :)

A quick note: I messed up the table, it's (-3.0902, ..., -0.2533, -0.125, 0, 0.125, 0.2533, 0.3850, 0.5244, 0.6745, 0.8416, 1.0364, 1.2816, 1.6449, 3.0902).

*>>it picks a random number between -9.99 and 9.99 and it uses it to interpolate the table (linear interpolation).*

I don't get that. Can you give an example, please? Let's say Oni picks up the value 9. How does the interpolation work?

Like this:

- -3.0902 = -9.99
- -1.6449 = -8.99
- ...
- -0.125 = -0.99
- 0 = 0
- ...
- 3.0902 = 9.99?

*>>And I don't know if you noticed, the WMDD for values says "Bell Curve" :)*

Yes, I've noticed that. Do you think the first value is not the mean?

*>>I messed up the table*

No problem. Now it fits much better to the pdf file above. ;-)

Ssg 22:32, 6 December 2007 (CET)

This should clear up everything:

float InverseNormalTable[] = { 0.0f, 0.125f, 0.2533f, 0.3853f, 0.5244f, 0.6745f, 0.8416f, 1.0364f, 1.2816f, 1.6449f, 3.0902f }; float InverseNormalRandom(float v1, float v2) { float r = frnd(); // generates a random number in [-0.999, 0.999] float x = fabsf(r) * 10.0f; int i = floorf(x); float z = InverseNormalTable[i] + (x - i) * (InverseNormalTable[i + 1] - InverseNormalTable[i]); if (r < 0.0f) z = -z; return v1 + z * v2; }

- The term "inverse normal" is apparently not conventional, and also rather confusing because it can be mistaken as referring to either the normal-inverse Gaussian distribution or the inverse Gaussian distribution, both of which are rather exotic and irrelevant here.
- What we have here is the inverse of the error function or rather that of erfc(x/sqrt(2)). If you have Java installed, HERE is a nice applet that you can toy around with to see just what the table in your PDF link corresponds to.
- As further pointed out HERE, inverting the standard normal cdf gives you a way to generate
*normally*distributed random variables from a*uniformly*distributed random variable, which is exactly what Oni does (see Neo's code sample above). - The float r is a
*uniformly*distributed random variable in (-1.0,1.0) (@ Neo: please check). Same for x except the interval is now [0.0,10.0). z is a first approximation of erfc(0.0998 * x / sqrt(2)), interpolated linearly between erfc(0.0998 * floorf(x) / sqrt(2)) and erfc(0.0998 * (floorf(x) + 1) / sqrt(2)). The table is thus sampled uniformly. - The result ( v1 + z * v2 ) is, to a good approximation, a
*normally*distributed random variable, centered at v1 and with standard mean deviation v2. Apart from the approximation arising from the linear interpolation, the distribution is cut off at 99.8% of expectancy, so all the values will be within 3.09023*v2 of v1.- geyser 03:12, 7 December 2007 (CET)

Boy, what a ton of interest this little function generates :). The interval for r is [-0.999, 0.999] to be precise (it originates as [-1, 1] and it is multiplied with 0.999). And yes, it is supposed to be distributed uniformly. Here is the (pseudo)random number generator: linear congruential generator, the one from Numerical Recipes.

*>>HERE is a nice applet*

Oh, that's why I couldn't see anything when I found this site. It needs Java.

*>>gives you a way to generate *normally* distributed random variables from a *uniformly* distributed random variable, which is exactly what Oni does*

Ahhhhhh... that's the thought behind that calculation.

Ssg 12:20, 7 December 2007 (CET)

- @ Neo & WIMC: "The interval for r is [-0.999, 0.999]"
- That's odd because then the interval for x is [0, 9.99],
- meaning that they leave out 0.1% of the inverse table
- (i.e., they will sample only 99% of the last interval)
- The only reason why they'd do this is to avoid i=10...
- Anyway, this affects the final distribution very little.
- Instead of a cutoff at 98% they have 97.902%: big deal.
- geyser 18:04, 7 December 2007 (CET)

*>> The only reason why they'd do this is to avoid i=10...*

- Most likely, they'd need a special case for that and it just doesn't worth it. And guys, let's just stop here. Remember, it is a game and not a scientific program, they might have as well drawn an upside down bell on a napkin, digitize it and put the obtained values in that table and it would still work :).

**notepad**

*variables*

- storage types: would read it like that

**01**00 00 00 - int16**02**00 00 00 - float**04**00 00 00 - string? (16 bytes)**08**00 00 00 - colour (4 bytes)**10**00 00 00 - int32**20**00 00 00 - string? (16 bytes)**40**00 00 00 - string? (16 bytes)- 00
**00**00 00 - pingpong state - 00
**10**00 00 - action index - 00
**20**00 00 - emitter - 00
**30**00 00 - blast falloff - 00
**40**00 00 - coord frame - 00
**50**00 00 - collision orient - 00
**60**00 00 - boolean - 00
**70**00 00 - ambient sound - 00
**80**00 00 - impulse sound - 00
**90**00 00 - impact modifier - 00
**A0**00 00 - damage type - 00
**B0**00 00 - axis

*emitted particles*

- 0x68 - why is there a ? behind "can use element 12"

Ssg 00:58, 25 December 2007 (CET)

- Well, you can read it like that if you want but I'm not sure why does it matter, they're just a bunch of values that identify some types. What you suggest looks more like flags/bitsets but they are not. (Besides don't expect me or any other C/C++ programmer to support such a format for flags/bitset because no one ever treats a 32 bit flags field as 4 separate bytes.)

- Because I managed to check the usage of all other fields in the executable except these 2 fields (11 & 12).

There's a "particle_sprite_type.wmm_" that says:

- 0 - sprite (face camera orient to screen)
- 1 - rotated sprite (face camera orient to particle)
- / - none
- 2 - beam (parallel face camera)
- 3 - arrow (parallel orient to particle)
- 7 - discus (parallel orient to particle)
- / - none
- 4 - flat (perpendicular)
- / - none
- 5 - contrail (orient to particle)
- 6 - contrail (face camera)

Are these the numbers for the sprite mode mask? Ssg 21:51, 5 February 2008 (CET)

I'll check the code to make sure but it looks like you hit the nail on the head. Thanks!

Hey Paradox, here is some food for thought. :)

Set a particle to have another particle as an attractor, with a low radius. Then set up something to happen in the <NewAttractor> field. Wouldn't that be simulated Particle\Particle collision detection? Also, if you want it, there is a patch avaliable for disabling events outside of <Update> tags.

Gumby 04:30, 21 May 2009 (UTC)

- Your first premise is that the radius works also for particle-particle collision.
- Your second premise is that this collision counts as NewAttractor event. Or what was the sense of it?
- When both things are correct (which I don't know) then you might have a way to detect particle-particle collision.
- "patch avaliable for disabling events outside of <Update> tags" I've no idea what this means. :(
- When I don't want consequences (actions) triggered by an event (Update, Pulse, Start, Stop, BackgroundFxStart, ...) then I take these actions out or delete the specific event. Paradox-01 14:23, 21 May 2009 (UTC)

- The premise is that when the targeted particle gets within the radius of the *searching* particle, it activates the <NewAttractor> field, and you can then do whatever you like (whatever you would have done when the two particles *collide*).
- Don't you sometimes need to use <DisableNow> or the other <Disable* tags? Gumby 16:49, 21 May 2009 (UTC)

- And someone might want to do a field test now... I will probably try it out but there must be clear idea first.
- No, because I haven't written advanced particle by my own so far. ^_^ I recycle existing stuff and bring in little modifications at suitable places. It's nothing I'm proud of but that's the way I go as a slowly learner. Paradox-01 17:17, 21 May 2009 (UTC)
- Well...I can't think of any good application for this offhand, no. :P
- Ahh, ok. :) Gumby 18:38, 21 May 2009 (UTC)

- Starting building reverse side of the pyramid. On topic:
- Gumby: Can't think of application, eh? AE:New_weapons, the last weapon on page maybe finally a reality thanks to this (long awaited by quite a bunch of ONI folks, me included ) ^_^
- Anyway, kick@$$ workaround Gumby, big respect and 45° salute especially for you.--Loser 22:00, 21 May 2009 (UTC)

- Dox: That is quite a good way how to learn PAR3. Experimenting, trying out stuff. Plus thanks to OniSplit, you don't have to care about used space calculation. On the other hand, handling stuff via HEXeditor diectly in .raw is good ( faster ) for research ^_^ ( when setting some field to various values in order to see in game effect).--Loser 22:00, 21 May 2009 (UTC)

- I thought of that, but there is a slight issue, perhaps: how do we stop the animation? Does one of the damage types have a single frame animation?

- That is how I learn particles, too. ^_^ Gumby 17:20, 22 May 2009 (UTC)