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📝 Posted:
🚚 Summary of:
P0190, P0191, P0192
Commits:
5734815...293e16a, 293e16a...71cb7b5, 71cb7b5...e1f3f9f
💰 Funded by:
nrook, -Tom-, [Anonymous]
🏷 Tags:

The important things first:

So, Shinki! As far as final boss code is concerned, she's surprisingly economical, with 📝 her background animations making up more than ⅓ of her entire code. Going straight from TH01's 📝 final 📝 bosses to TH05's final boss definitely showed how much ZUN had streamlined danmaku pattern code by the end of PC-98 Touhou. Don't get me wrong, there is still room for improvement: TH05 not only 📝 reuses the same 16 bytes of generic boss state we saw in TH04 last month, but also uses them 4× as often, and even for midbosses. Most importantly though, defining danmaku patterns using a single global instance of the group template structure is just bad no matter how you look at it:

Declaring a separate structure instance with the static data for every pattern would be both safer and more space-efficient, and there's more than enough space left for that in the game's data segment.
But all in all, the pattern functions are short, sweet, and easy to follow. The "devil" pattern is significantly more complex than the others, but still far from TH01's final bosses at their worst. I especially like the clear architectural separation between "one-shot pattern" functions that return true once they're done, and "looping pattern" functions that run as long as they're being called from a boss's main function. Not many all too interesting things in these pattern functions for the most part, except for two pieces of evidence that Shinki was coded after Yumeko:


Speaking about that wing sprite: If you look at ST05.BB2 (or any other file with a large sprite, for that matter), you notice a rather weird file layout:

Raw file layout of TH05's ST05.BB2, demonstrating master.lib's supposed BFNT width limit of 64 pixels
A large sprite split into multiple smaller ones with a width of 64 pixels each? What's this, hardware sprite limitations? On my PC-98?!

And it's not a limitation of the sprite width field in the BFNT+ header either. Instead, it's master.lib's BFNT functions which are limited to sprite widths up to 64 pixels… or at least that's what MASTER.MAN claims. Whatever the restriction was, it seems to be completely nonexistent as of master.lib version 0.23, and none of the master.lib functions used by the games have any issues with larger sprites.
Since ZUN stuck to the supposed 64-pixel width limit though, it's now the game that expects Shinki's winged form to consist of 4 physical sprites, not just 1. Any conversion from another, more logical sprite sheet layout back into BFNT+ must therefore replicate the original number of sprites. Otherwise, the sequential IDs ("patnums") assigned to every newly loaded sprite no longer match ZUN's hardcoded IDs, causing the game to crash. This is exactly what used to happen with -Tom-'s MysticTK automation scripts, which combined these exact sprites into a single large one. This issue has now been fixed – just in case there are some underground modders out there who used these scripts and wonder why their game crashed as soon as the Shinki fight started.


And then the code quality takes a nosedive with Shinki's main function. :onricdennat: Even in TH05, these boss and midboss update functions are still very imperative:

The biggest WTF in there, however, goes to using one of the 16 state bytes as a "relative phase" variable for differentiating between boss phases that share the same branch within the switch(boss.phase) statement. While it's commendable that ZUN tried to reduce code duplication for once, he could have just branched depending on the actual boss.phase variable? The same state byte is then reused in the "devil" pattern to track the activity state of the big jerky lasers in the second half of the pattern. If you somehow managed to end the phase after the first few bullets of the pattern, but before these lasers are up, Shinki's update function would think that you're still in the phase before the "devil" pattern. The main function then sequence-breaks right to the defeat phase, skipping the final pattern with the burning Makai background. Luckily, the HP boundaries are far away enough to make this impossible in practice.
The takeaway here: If you want to use the state bytes for your custom boss script mods, alias them to your own 16-byte structure, and limit each of the bytes to a clearly defined meaning across your entire boss script.

One final discovery that doesn't seem to be documented anywhere yet: Shinki actually has a hidden bomb shield during her two purple-wing phases. uth05win got this part slightly wrong though: It's not a complete shield, and hitting Shinki will still deal 1 point of chip damage per frame. For comparison, the first phase lasts for 3,000 HP, and the "devil" pattern phase lasts for 5,800 HP.

And there we go, 3rd PC-98 Touhou boss script* decompiled, 28 to go! 🎉 In case you were expecting a fix for the Shinki death glitch: That one is more appropriately fixed as part of the Mai & Yuki script. It also requires new code, should ideally look a bit prettier than just removing cheetos between one frame and the next, and I'd still like it to fit within the original position-dependent code layout… Let's do that some other time.
Not much to say about the Stage 1 midboss, or midbosses in general even, except that their update functions have to imperatively handle even more subsystems, due to the relative lack of helper functions.


The remaining ¾ of the third push went to a bunch of smaller RE and finalization work that would have hardly got any attention otherwise, to help secure that 50% RE mark. The nicest piece of code in there shows off what looks like the optimal way of setting up the 📝 GRCG tile register for monochrome blitting in a variable color:

mov ah, palette_index ; Any other non-AL 8-bit register works too.
                      ; (x86 only supports AL as the source operand for OUTs.)

rept 4                ; For all 4 bitplanes…
    shr ah,  1        ; Shift the next color bit into the x86 carry flag
    sbb al,  al       ; Extend the carry flag to a full byte
                      ; (CF=0 → 0x00, CF=1 → 0xFF)
    out 7Eh, al       ; Write AL to the GRCG tile register
endm

Thanks to Turbo C++'s inlining capabilities, the loop body even decompiles into a surprisingly nice one-liner. What a beautiful micro-optimization, at a place where micro-optimization doesn't hurt and is almost expected.
Unfortunately, the micro-optimizations went all downhill from there, becoming increasingly dumb and undecompilable. Was it really necessary to save 4 x86 instructions in the highly unlikely case of a new spark sprite being spawned outside the playfield? That one 2D polar→Cartesian conversion function then pointed out Turbo C++ 4.0J's woefully limited support for 32-bit micro-optimizations. The code generation for 32-bit 📝 pseudo-registers is so bad that they almost aren't worth using for arithmetic operations, and the inline assembler just flat out doesn't support anything 32-bit. No use in decompiling a function that you'd have to entirely spell out in machine code, especially if the same function already exists in multiple other, more idiomatic C++ variations.
Rounding out the third push, we got the TH04/TH05 DEMO?.REC replay file reading code, which should finally prove that nothing about the game's original replay system could serve as even just the foundation for community-usable replays. Just in case anyone was still thinking that.


Next up: Back to TH01, with the Elis fight! Got a bit of room left in the cap again, and there are a lot of things that would make a lot of sense now:

📝 Posted:
🚚 Summary of:
P0189
Commits:
22abdd1...b4876b6
💰 Funded by:
Arandui, Lmocinemod
🏷 Tags:

(Before we start: Make sure you've read the current version of the FAQ section on a potential takedown of this project, updated in light of the recent DMCA claims against PC-98 Touhou game downloads.)


Slight change of plans, because we got instructions for reliably reproducing the TH04 Kurumi Divide Error crash! Major thanks to Colin Douglas Howell. With those, it also made sense to immediately look at the crash in the Stage 4 Marisa fight as well. This way, I could release both of the obligatory bugfix mods at the same time.
Especially since it turned out that I was wrong: Both crashes are entirely unrelated to the custom entity structure that would have required PI-centric progress. They are completely specific to Kurumi's and Marisa's danmaku-pattern code, and really are two separate bugs with no connection to each other. All of the necessary research nicely fit into Arandui's 0.5 pushes, with no further deep understanding required here.

But why were there still three weeks between Colin's message and this blog post? DMCA distractions aside: There are no easy fixes this time, unlike 📝 back when I looked at the Stage 5 Yuuka crash. Just like how division by zero is undefined in mathematics, it's also, literally, undefined what should happen instead of these two Divide error crashes. This means that any possible "fix" can only ever be a fanfiction interpretation of the intentions behind ZUN's code. The gameplay community should be aware of this, and might decide to handle these cases differently. And if we have to go into fanfiction territory to work around crashes in the canon games, we'd better document what exactly we're fixing here and how, as comprehensible as possible.

  1. Kurumi's crash
  2. Marisa's crash

With that out of the way, let's look at Kurumi's crash first, since it's way easier to grasp. This one is known to primarily happen to new players, and it's easy to see why:

The pattern that causes the crash in Kurumi's fight. Also demonstrates how the number of bullets in a ring is always halved on Easy Mode after the rank-based tuning, leading to just a 3-ring on playperf = 16.

So, what should the workaround look like? Obviously, we want to modify neither the default number of ring bullets nor the tuning algorithm – that would change all other non-crashing variations of this pattern on other difficulties and ranks, creating a fork of the original gameplay. Instead, I came up with four possible workarounds that all seemed somewhat logical to me:

  1. Firing no bullet, i.e., interpreting 0-ring literally. This would create the only constellation in which a call to the bullet group spawn functions would not spawn at least one new bullet.
  2. Firing a "1-ring", i.e., a single bullet. This would be consistent with how the bullet spawn functions behave for "0-way" stack and spread groups.
  3. Firing a "∞-ring", i.e., 200 bullets, which is as much as the game's cap on 16×16 bullets would allow. This would poke fun at the whole "division by zero" idea… but given that we're still talking about Easy Mode (and especially new players) here, it might be a tad too cruel. Certainly the most trollish interpretation.
  4. Triggering an immediate Game Over, exchanging the hard crash for a softer and more controlled shutdown. Certainly the option that would be closest to the behavior of the original games, and perhaps the only one to be accepted in Serious, High-Level Play™.

As I was writing this post, it felt increasingly wrong for me to make this decision. So I once again went to Twitter, where 56.3% voted in favor of the 1-bullet option. Good that I asked! I myself was more leaning towards the 0-bullet interpretation, which only got 28.7% of the vote. Also interesting are the 2.3% in favor of the Game Over option but I get it, low-rank Easy Mode isn't exactly the most competitive mode of playing TH04.
There are reports of Kurumi crashing on higher difficulties as well, but I could verify none of them. If they aren't fixed by this workaround, they're caused by an entirely different bug that we have yet to discover.


Onto the Stage 4 Marisa crash then, which does in fact apply to all difficulty levels. I was also wrong on this one – it's a hell of a lot more intricate than being just a division by the number of on-screen bits. Without having decompiled the entire fight, I can't give a completely accurate picture of what happens there yet, but here's the rough idea:

Reference points for Marisa's point-reflected movement. Cyan: Marisa's position, green: (192, 112), yellow: the intended end point.
One of the two patterns in TH04's Stage 4 Marisa boss fight that feature frame number-dependent point-reflected movement. The bits were hacked to self-destruct on the respective frame.

tl;dr: "Game crashes if last bit destroyed within 4-frame window near end of two patterns". For an informed decision on a new movement behavior for these last 8 frames, we definitely need to know all the details behind the crash though. Here's what I would interpret into the code:

  1. Not moving at all, i.e., interpreting 0 as the middle ground between positive and negative movement. This would also make sense because a 12-frame duration implies 100% of the movement to consist of the braking phase – and Marisa wasn't moving before, after all.
  2. Move at maximum speed, i.e., dividing by 1 rather than 0. Since the movement duration is still 12 in this case, Marisa will immediately start braking. In total, she will move exactly ¾ of the way from her initial position to (192, 112) within the 8 frames before the pattern ends.
  3. Directly warping to (192, 112) on frame 0, and to the point-reflected target on 4, respectively. This "emulates" the division by zero by moving Marisa at infinite speed to the exact two points indicated by the velocity formula. It also fits nicely into the 8 frames we have to fill here. Sure, Marisa can't reach these points at any other duration, but why shouldn't she be able to, with infinite speed? Then again, if Marisa is far away enough from (192, 112), this workaround would warp her across the entire playfield. Can Marisa teleport according to lore? I have no idea… :tannedcirno:
  4. Triggering an immediate Game O– hell no, this is the Stage 4 boss, people already hate losing runs to this bug!

Asking Twitter worked great for the Kurumi workaround, so let's do it again! Gotta attach a screenshot of an earlier draft of this blog post though, since this stuff is impossible to explain in tweets…

…and it went through the roof, becoming the most successful ReC98 tweet so far?! Apparently, y'all really like to just look at descriptions of overly complex bugs that I'd consider way beyond the typical attention span that can be expected from Twitter. Unfortunately, all those tweet impressions didn't quite translate into poll turnout. The results were pretty evenly split between 1) and 2), with option 1) just coming out slightly ahead at 49.1%, compared to 41.5% of option 2).

(And yes, I only noticed after creating the poll that warping to both the green and yellow points made more sense than warping to just one of the two. Let's hope that this additional variant wouldn't have shifted the results too much. Both warp options only got 9.4% of the vote after all, and no one else came up with the idea either. :onricdennat: In the end, you can always merge together your preferred combination of workarounds from the Git branches linked below.)


So here you go: The new definitive version of TH04, containing not only the community-chosen Kurumi and Stage 4 Marisa workaround variant, but also the 📝 No-EMS bugfix from last year. Edit (2022-05-31): This package is outdated, 📝 the current version is here! 2022-04-18-community-choice-fixes.zip Oh, and let's also add spaztron64's TH03 GDC clock fix from 2019 because why not. This binary was built from the community_choice_fixes branch, and you can find the code for all the individual workarounds on these branches:

Again, because it can't be stated often enough: These fixes are fanfiction. The gameplay community should be aware of this, and might decide to handle these cases differently.


With all of that taking way more time to evaluate and document, this research really had to become part of a proper push, instead of just being covered in the quick non-push blog post I initially intended. With ½ of a push left at the end, TH05's Stage 1-5 boss background rendering functions fit in perfectly there. If you wonder how these static backdrop images even need any boss-specific code to begin with, you're right – it's basically the same function copy-pasted 4 times, differing only in the backdrop image coordinates and some other inconsequential details.
Only Sara receives a nice variation of the typical 📝 blocky entrance animation: The usually opaque bitmap data from ST00.BB is instead used as a transition mask from stage tiles to the backdrop image, by making clever use of the tile invalidation system:

TH04 uses the same effect a bit more frequently, for its first three bosses.

Next up: Shinki, for real this time! I've already managed to decompile 10 of her 11 danmaku patterns within a little more than one push – and yes, that one is included in there. Looks like I've slightly overestimated the amount of work required for TH04's and TH05's bosses…

📝 Posted:
🚚 Summary of:
P0184, P0185
Commits:
f9d983e...f918298, f918298...a21ab3d
💰 Funded by:
-Tom-, Blue Bolt, [Anonymous]
🏷 Tags:

Two years after 📝 the first look at TH04's and TH05's bullets, we finally get to finish their logic code by looking at the special motion types. Bullets as a whole still aren't completely finished as the rendering code is still waiting to be RE'd, but now we've got everything about them that's required for decompiling the midboss and boss fights of these games.

Just like the motion types of TH01's pellets, the ones we've got here really are special enough to warrant an enum, despite all the overlap in the "slow down and turn" and "bounce at certain edges of the playfield" types. Sure, including them in the bitfield I proposed two years ago would have allowed greater variety, but it wouldn't have saved any memory. On the contrary: These types use a single global state variable for the maximum turn count and delta speed, which a proper customizable architecture would have to integrate into the bullet structure. Maybe it is possible to stuff everything into the same amount of bytes, but not without first completely rearchitecting the bullet structure and removing every single piece of redundancy in there. Simply extending the system by adding a new enum value for a new motion type would be way more straightforward for modders.

Speaking about memory, TH05 already extends the bullet structure by 6 bytes for the "exact linear movement" type exclusive to that game. This type is particularly interesting for all the prospective PC-98 game developers out there, as it nicely points out the precision limits of Q12.4 subpixels.
Regular bullet movement works by adding a Q12.4 velocity to a Q12.4 position every frame, with the velocity typically being calculated only once on spawn time from an 8-bit angle and a Q12.4 speed. Quantization errors from this initial calculation can quickly compound over all the frames a bullet spends moving across the playfield. If a bullet is only supposed to move on a straight line though, there is a more precise way of calculating its position: By storing the origin point, movement angle, and total distance traveled, you can perform a full polar→Cartesian transformation every frame. Out of the 10 danmaku patterns in TH05 that use this motion type, the difference to regular bullet movement can be best seen in Louise's final pattern:

Louise's final pattern in its original form, demonstrating exact linear bullet movement. Note how each bullet spawns slightly behind the delay cloud: ZUN simply forgot to shift the fixed origin point along with it.
The same pattern with standard bullet movement, corrupting its intended appearance. No delay cloud-related oversights here though, at least.

Not far away from the regular bullet code, we've also got the movement function for the infamous curve / "cheeto" bullets. I would have almost called them "cheetos" in the code as well, which surely fits more nicely into 8.3 filenames than "curve bullets" does, but eh, trademarks…

As for hitboxes, we got a 16×16 one on the head node, and a 12×12 one on the 16 trail nodes. The latter simply store the position of the head node during the last 16 frames, Snake style. But what you're all here for is probably the turning and homing algorithm, right? Boiled down to its essence, it works like this:

// [head] points to the controlled "head" part of a curve bullet entity.
// Angles are stored with 8 bits representing a full circle, providing free
// normalization on arithmetic overflow.
// The directions are ordered as you would expect:
// • 0x00: right	(sin(0x00) =  0, cos(0x00) = +1)
// • 0x40: down 	(sin(0x40) = +1, cos(0x40) =  0)
// • 0x80: left 	(sin(0x80) =  0, cos(0x80) = -1)
// • 0xC0: up   	(sin(0xC0) = -1, cos(0xC0) =  0)
uint8_t angle_delta = (head->angle - player_angle_from(
	head->pos.cur.x, head->pos.cur.y
));

// Stop turning if the player is 1/128ths of a circle away from this bullet
const uint8_t SNAP = 0x02;

// Else, turn either clockwise or counterclockwise by 1/256th of a circle,
// depending on what would reach the player the fastest.
if((angle_delta > SNAP) && (angle_delta < static_cast<uint8_t>(-SNAP))) {
	angle_delta = (angle_delta >= 0x80) ? -0x01 : +0x01;
}
head_p->angle -= angle_delta;

5 lines of code, and not all too difficult to follow once you are familiar with 8-bit angles… unlike what ZUN actually wrote. Which is 26 lines, and includes an unused "friction" variable that is never set to any value that makes a difference in the formula. :zunpet: uth05win correctly saw through that all and simplified this code to something equivalent to my explanation. Redoing that work certainly wasted a bit of my time, and means that I now definitely need to spend another push on RE'ing all the shared boss functions before I can start with Shinki.

So while a curve bullet's speed does get faster over time, its angular velocity is always limited to 1/256th of a circle per frame. This reveals the optimal strategy for dodging them: Maximize this delta angle by staying as close to 180° away from their current direction as possible, and let their acceleration do the rest.

At least that's the theory for dodging a single one. As a danmaku designer, you can now of course place other bullets at these technically optimal places to prevent a curve bullet pattern from being cheesed like that. I certainly didn't record the video above in a single take either… :tannedcirno:


After another bunch of boring entity spawn and update functions, the playfield shaking feature turned out as the most notable (and tricky) one to round out these two pushes. It's actually implemented quite well in how it simply "un-shakes" the screen by just marking every stage tile to be redrawn. In the context of all the other tile invalidation that can take place during a frame, that's definitely more performant than 📝 doing another EGC-accelerated memmove(). Due to these two games being double-buffered via page flipping, this invalidation only really needs to happen for the frame after the next one though. The immediately next frame will show the regular, un-shaken playfield on the other VRAM page first, except during the multi-frame shake animation when defeating a midboss, where it will also appear shifted in a different direction… 😵 Yeah, no wonder why ZUN just always invalidates all stage tiles for the next two frames after every shaking animation, which is guaranteed to handle both sporadic single-frame shakes and continuous ones. So close to good-code here.

Finally, this delivery was delayed a bit because -Tom- requested his round-up amount to be limited to the cap in the future. Since that makes it kind of hard to explain on a static page how much money he will exactly provide, I now properly modeled these discounts in the website code. The exact round-up amount is now included in both the pre-purchase breakdown, as well as the cap bar on the main page.
With that in place, the system is now also set up for round-up offers from other patrons. If you'd also like to support certain goals in this way, with any amount of money, now's the time for getting in touch with me about that. Known contributors only, though! 😛

Next up: The final bunch of shared boring boss functions. Which certainly will give me a break from all the maintenance and research work, and speed up delivery progress again… right?