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📝 Posted:
🚚 Summary of:
P0240, P0241
Commits:
be69ab6...40c900f, 40c900f...08352a5
💰 Funded by:
JonathKane, Blue Bolt, [Anonymous]
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Well, well. My original plan was to ship the first step of Shuusou Gyoku OpenGL support on the next day after this delivery. But unfortunately, the complications just kept piling up, to a point where the required solutions definitely blow the current budget for that goal. I'm currently sitting on over 70 commits that would take at least 5 pushes to deliver as a meaningful release, and all of that is just rearchitecting work, preparing the game for a not too Windows-specific OpenGL backend in the first place. I haven't even written a single line of OpenGL yet… 🥲
This shifts the intended Big Release Month™ to June after all. Now I know that the next round of Shuusou Gyoku features should better start with the SC-88Pro recordings, which are much more likely to get done within their current budget. At least I've already completed the configuration versioning system required for that goal, which leaves only the actual audio part.

So, TH04 position independence. Thanks to a bit of funding for stage dialogue RE, non-ASCII translations will soon become viable, which finally presents a reason to push TH04 to 100% position independence after 📝 TH05 had been there for almost 3 years. I haven't heard back from Touhou Patch Center about how much they want to be involved in funding this goal, if at all, but maybe other backers are interested as well.
And sure, it would be entirely possible to implement non-ASCII translations in a way that retains the layout of the original binaries and can be easily compared at a binary level, in case we consider translations to be a critical piece of infrastructure. This wouldn't even just be an exercise in needless perfectionism, and we only have to look to Shuusou Gyoku to realize why: Players expected that my builds were compatible with existing SpoilerAL SSG files, which was something I hadn't even considered the need for. I mean, the game is open-source 📝 and I made it easy to build. You can just fork the code, implement all the practice features you want in a much more efficient way, and I'd probably even merge your code into my builds then?
But I get it – recompiling the game yields just yet another build that can't be easily compared to the original release. A cheat table is much more trustworthy in giving players the confidence that they're still practicing the same original game. And given the current priorities of my backers, it'll still take a while for me to implement proof by replay validation, which will ultimately free every part of the community from depending on the original builds of both Seihou and PC-98 Touhou.

However, such an implementation within the original binary layout would significantly drive up the budget of non-ASCII translations, and I sure don't want to constantly maintain this layout during development. So, let's chase TH04 position independence like it's 2020, and quickly cover a larger amount of PI-relevant structures and functions at a shallow level. The only parts I decompiled for now contain calculations whose intent can't be clearly communicated in ASM. Hitbox visualizations or other more in-depth research would have to wait until I get to the proper decompilation of these features.
But even this shallow work left us with a large amount of TH04-exclusive code that had its worst parts RE'd and could be decompiled fairly quickly. If you want to see big TH04 finalization% gains, general TH04 progress would be a very good investment.


The first push went to the often-mentioned stage-specific custom entities that share a single statically allocated buffer. Back in 2020, I 📝 wrongly claimed that these were a TH05 innovation, but the system actually originated in TH04. Both games use a 26-byte structure, but TH04 only allocates a 32-element array rather than TH05's 64-element one. The conclusions from back then still apply, but I also kept wondering why these games used a static array for these entities to begin with. You know what they call an area of memory that you can cleanly repurpose for things? That's right, a heap! :tannedcirno: And absolutely no one would mind one additional heap allocation at the start of a stage, next to the ones for all the sprites and portraits.
However, we are still running in Real Mode with segmented memory. Accessing anything outside a common data segment involves modifying segment registers, which has a nonzero CPU cycle cost, and Turbo C++ 4.0J is terrible at optimizing away the respective instructions. Does this matter? Probably not, but you don't take "risks" like these if you're in a permanent micro-optimization mindset… :godzun:

In TH04, this system is used for:

  1. Kurumi's symmetric bullet spawn rays, fired from her hands towards the left and right edges of the playfield. These are rather infamous for being the last thing you see before 📝 the Divide Error crash that can happen in ZUN's original build. Capped to 6 entities.

  2. The 4 📝 bits used in Marisa's Stage 4 boss fight. Coincidentally also related to the rare Divide Error crash in that fight.

  3. Stage 4 Reimu's spinning orbs. Note how the game uses two different sets of sprites just to have two different outline colors. This was probably better than messing with the palette, which can easily cause unintended effects if you only have 16 colors to work with. Heck, I have an entire blog post tag just to highlight these cases. Capped to the full 32 entities.

  4. The chasing cross bullets, seen in Phase 14 of the same Stage 6 Yuuka fight. Featuring some smart sprite work, making use of point symmetry to achieve a fluid animation in just 4 frames. This is good-code in sprite form. Capped to 31 entities, because the 32nd custom entity during this fight is defined to be…

  5. The single purple pulsating and shrinking safety circle, seen in Phase 4 of the same fight. The most interesting aspect here is actually still related to the cross bullets, whose spawn function is wrongly limited to 32 entities and could theoretically overwrite this circle. :zunpet: This is strictly landmine territory though:

    • Yuuka never uses these bullets and the safety circle simultaneously
    • She never spawns more than 24 cross bullets
    • All cross bullets are fast enough to have left the screen by the time Yuuka restarts the corresponding subpattern
    • The cross bullets spawn at Yuuka's center position, and assign its Q12.4 coordinates to structure fields that the safety circle interprets as raw pixels. The game does try to render the circle afterward, but since Yuuka's static position during this phase is nowhere near a valid pixel coordinate, it is immediately clipped.

  6. The flashing lines seen in Phase 5 of the Gengetsu fight, telegraphing the slightly random bullet columns.

    The spawn column lines in the TH05 Gengetsu fight, in the first of their two flashing colors.The spawn column lines in the TH05 Gengetsu fight, in the second of their two flashing colors.

These structures only took 1 push to reverse-engineer rather than the 2 I needed for their TH05 counterparts because they are much simpler in this game. The "structure" for Gengetsu's lines literally uses just a single X position, with the remaining 24 bytes being basically padding. The only minor bug I found on this shallow level concerns Marisa's bits, which are clipped at the right and bottom edges of the playfield 16 pixels earlier than you would expect:


The remaining push went to a bunch of smaller structures and functions:


To top off the second push, we've got the vertically scrolling checkerboard background during the Stage 6 Yuuka fight, made up of 32×32 squares. This one deserves a special highlight just because of its needless complexity. You'd think that even a performant implementation would be pretty simple:

  1. Set the GRCG to TDW mode
  2. Set the GRCG tile to one of the two square colors
  3. Start with Y as the current scroll offset, and X as some indicator of which color is currently shown at the start of each row of squares
  4. Iterate over all lines of the playfield, filling in all pixels that should be displayed in the current color, skipping over the other ones
  5. Count down Y for each line drawn
  6. If Y reaches 0, reset it to 32 and flip X
  7. At the bottom of the playfield, change the GRCG tile to the other color, and repeat with the initial value of X flipped

The most important aspect of this algorithm is how it reduces GRCG state changes to a minimum, avoiding the costly port I/O that we've identified time and time again as one of the main bottlenecks in TH01. With just 2 state variables and 3 loops, the resulting code isn't that complex either. A naive implementation that just drew the squares from top to bottom in a single pass would barely be simpler, but much slower: By changing the GRCG tile on every color, such an implementation would burn a low 5-digit number of CPU cycles per frame for the 12×11.5-square checkerboard used in the game.
And indeed, ZUN retained all important aspects of this algorithm… but still implemented it all in ASM, with a ridiculous layer of x86 segment arithmetic on top? :zunpet: Which blows up the complexity to 4 state variables, 5 nested loops, and a bunch of constants in unusual units. I'm not sure what this code is supposed to optimize for, especially with that rather questionable register allocation that nevertheless leaves one of the general-purpose registers unused. :onricdennat: Fortunately, the function was still decompilable without too many code generation hacks, and retains the 5 nested loops in all their goto-connected glory. If you want to add a checkerboard to your next PC-98 demo, just stick to the algorithm I gave above.
(Using a single XOR for flipping the starting X offset between 32 and 64 pixels is pretty nice though, I have to give him that.)


This makes for a good occasion to talk about the third and final GRCG mode, completing the series I started with my previous coverage of the 📝 RMW and 📝 TCR modes. The TDW (Tile Data Write) mode is the simplest of the three and just writes the 8×1 GRCG tile into VRAM as-is, without applying any alpha bitmask. This makes it perfect for clearing rectangular areas of pixels – or even all of VRAM by doing a single memset():

// Set up the GRCG in TDW mode.
outportb(0x7C, 0x80);

// Fill the tile register with color #7 (0111 in binary).
outportb(0x7E, 0xFF); // Plane 0: (B): (********)
outportb(0x7E, 0xFF); // Plane 1: (R): (********)
outportb(0x7E, 0xFF); // Plane 2: (G): (********)
outportb(0x7E, 0x00); // Plane 3: (E): (        )

// Set the 32 pixels at the top-left corner of VRAM to the exact contents of
// the tile register, effectively repeating the tile 4 times. In TDW mode, the
// GRCG ignores the CPU-supplied operand, so we might as well just pass the
// contents of a register with the intended width. This eliminates useless load
// instructions in the compiled assembly, and even sort of signals to readers
// of this code that we do not care about the source value.
*reinterpret_cast<uint32_t far *>(MK_FP(0xA800, 0)) = _EAX;

// Fill the entirety of VRAM with the GRCG tile. A simple C one-liner that will
// probably compile into a single `REP STOS` instruction. Unfortunately, Turbo
// C++ 4.0J only ever generates the 16-bit `REP STOSW` here, even when using
// the `__memset__` intrinsic and when compiling in 386 mode. When targeting
// that CPU and above, you'd ideally want `REP STOSD` for twice the speed.
memset(MK_FP(0xA800, 0), _AL, ((640 / 8) * 400));

However, this might make you wonder why TDW mode is even necessary. If it's functionally equivalent to RMW mode with a CPU-supplied bitmask made up entirely of 1 bits (i.e., 0xFF, 0xFFFF, or 0xFFFFFFFF), what's the point? The difference lies in the hardware implementation: If all you need to do is write tile data to VRAM, you don't need the read and modify parts of RMW mode which require additional processing time. The PC-9801 Programmers' Bible claims a speedup of almost 2× when using TDW mode over equivalent operations in RMW mode.
And that's the only performance claim I found, because none of these old PC-98 hardware and programming books did any benchmarks. Then again, it's not too interesting of a question to benchmark either, as the byte-aligned nature of TDW blitting severely limits its use in a game engine anyway. Sure, maybe it makes sense to temporarily switch from RMW to TDW mode if you've identified a large rectangular and byte-aligned section within a sprite that could be blitted without a bitmask? But the necessary identification work likely nullifies the performance gained from TDW mode, I'd say. In any case, that's pretty deep micro-optimization territory. Just use TDW mode for the few cases it's good at, and stick to RMW mode for the rest.

So is this all that can be said about the GRCG? Not quite, because there are 4 bits I haven't talked about yet…


And now we're just 5.37% away from 100% position independence for TH04! From this point, another 2 pushes should be enough to reach this goal. It might not look like we're that close based on the current estimate, but a big chunk of the remaining numbers are false positives from the player shot control functions. Since we've got a very special deadline to hit, I'm going to cobble these two pushes together from the two current general subscriptions and the rest of the backlog. But you can, of course, still invest in this goal to allow the existing contributions to go to something else.
… Well, if the store was actually open. :thonk: So I'd better continue with a quick task to free up some capacity sooner rather than later. Next up, therefore: Back to TH02, and its item and player systems. Shouldn't take that long, I'm not expecting any surprises there. (Yeah, I know, famous last words…)

📝 Posted:
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Turns out I was not quite done with the TH01 Anniversary Edition yet. You might have noticed some white streaks at the beginning of Sariel's second form, which are in fact a bug that I accidentally added to the initial release. :tannedcirno:
These can be traced back to a quirk I wasn't aware of, and hadn't documented so far. When defeating Sariel's first form during a pattern that spawns pellets, it's likely for the second form to start with additional pellets that resemble the previous pattern, but come out of seemingly nowhere. This shouldn't really happen if you look at the code: Nothing outside the typical pattern code spawns new pellets, and all existing ones are reset before the form transition…

Except if they're currently showing the 10-frame delay cloud animation , activated for all pellets during the symmetrical radial 2-ring pattern in Phase 2 and left activated for the rest of the fight. These pellets will continue their animation after the transition to the second form, and turn into regular pellets you have to dodge once their animation completed.

By itself, this is just one more quirk to keep in mind during refactoring. It only turned into a bug in the Anniversary Edition because the game tracks the number of living pellets in a separate counter variable. After resetting all pellets, this counter is simply set to 0, regardless of any delay cloud pellets that may still be alive, and it's merely incremented or decremented when pellets are spawned or leave the playfield. :zunpet:
In the original game, this counter is only used as an optimization to skip spawning new pellets once the cap is reached. But with batched EGC-accelerated unblitting, it also makes sense to skip the rather costly setup and shutdown of the EGC if no pellets are active anyway. Except if the counter you use to check for that case can be 0 even if there are pellets alive, which consequently don't get unblitted… :onricdennat:
There is an optimal fix though: Instead of unconditionally resetting the living pellet counter to 0, we decrement it for every pellet that does get reset. This preserves the quirk and gives us a consistently correct counter, allowing us to still skip every unnecessary loop over the pellet array.

Cutting out the lengthy defeat animation makes it easier to see where the additional pellets come from.
Cutting out the lengthy defeat animation makes it easier to see where the additional pellets come from. Also, note how regular unblitting resumes once the first pellet gets clipped at the top of the playfield – the living pellet counter then gets decremented to -1, and who uses <= rather than == on a seemingly unsigned counter, right?
Cutting out the lengthy defeat animation makes it easier to see where the additional pellets come from.

Ultimately, this was a harmless bug that didn't affect gameplay, but it's still something that players would have probably reported a few more times. So here's a free bugfix:

:th01: TH01 Anniversary Edition, version P0234-1 2023-03-14-th01-anniv.zip

Thanks to mu021 for reporting this issue and providing helpful videos to identify the cause!

📝 Posted:
🚚 Summary of:
P0201, P0202
Commits:
9342665...ff49e9e, ff49e9e...4568bf7
💰 Funded by:
Ember2528, Yanga, [Anonymous]
🏷 Tags:

The positive:

The negative:

The overview:


This time, we're back to the Orb hitbox being a logical 49×49 pixels in SinGyoku's center, and the shot hitbox being the weird one. What happens if you want the shot hitbox to be both offset to the left a bit and stretch the entire width of SinGyoku's sprite? You get a hitbox that ends in mid-air, far away from the right edge of the sprite:

Due to VRAM byte alignment, all player shots fired between gx = 376 and gx = 383 inclusive appear at the same visual X position, but are internally already partly outside the hitbox and therefore won't hit SinGyoku – compare the marked shot at gx = 376 to the one at gx = 380. So much for precisely visualizing hitboxes in this game…

Since the female and male forms also use the sphere entity's coordinates, they share the same hitbox.


Onto the rendering glitches then, which can – you guessed it – all be found in the sphere form's slam movement:

By having the sphere move from the right edge of the playfield to the left, this video demonstrates both the lazy reblitting and broken unblitting at the right edge for negative X velocities. Also, isn't it funny how Reimu can partly disappear from all the sloppy SinGyoku-related unblitting going on after her sprite was blitted?

Due to the low contrast of the sphere against the background, you typically don't notice these glitches, but the white invincibility flashing after a hit really does draw attention to them. This time, all of these glitches aren't even directly caused by ZUN having never learned about the EGC's bit length register – if he just wrote correct code for SinGyoku, none of this would have been an issue. Sigh… I wonder how many more glitches will be caused by improper use of this one function in the last 18% of REIIDEN.EXE.

There's even another bug here, with ZUN hardcoding a horizontal delta of 8 pixels rather than just passing the actual X velocity. Luckily, the maximum movement speed is 6 pixels on Lunatic, and this would have only turned into an additional observable glitch if the X velocity were to exceed 24 pixels. But that just means it's the kind of bug that still drains RE attention to prove that you can't actually observe it in-game under some circumstances.


The 5 pellet patterns are all pretty straightforward, with nothing to talk about. The code architecture during phase 2 does hint towards ZUN having had more creative patterns in mind – especially for the male form, which uses the transformation function's three pattern callback slots for three repetitions of the same pellet group.
There is one more oddity to be found at the very end of the fight:

The first frame of TH01 SinGyoku's defeat animation, showing the sphere blitted on top of a potentially active person form

Right before the defeat white-out animation, the sphere form is explicitly reblitted for no reason, on top of the form that was blitted to VRAM in the previous frame, and regardless of which form is currently active. If SinGyoku was meant to immediately transform back to the sphere form before being defeated, why isn't the person form unblitted before then? Therefore, the visibility of both forms is undeniably canon, and there is some lore meaning to be found here… :thonk:
In any case, that's SinGyoku done! 6th PC-98 Touhou boss fully decompiled, 25 remaining.


No FUUIN.EXE code rounding out the last push for a change, as the 📝 remaining missile code has been waiting in front of SinGyoku for a while. It already looked bad in November, but the angle-based sprite selection function definitely takes the cake when it comes to unnecessary and decadent floating-point abuse in this game.
The algorithm itself is very trivial: Even with 📝 .PTN requiring an additional quarter parameter to access 16×16 sprites, it's essentially just one bit shift, one addition, and one binary AND. For whatever reason though, ZUN casts the 8-bit missile angle into a 64-bit double, which turns the following explicit comparisons (!) against all possible 4 + 16 boundary angles (!!) into FPU operations. :zunpet: Even with naive and readable division and modulo operations, and the whole existence of this function not playing well with Turbo C++ 4.0J's terrible code generation at all, this could have been 3 lines of code and 35 un-inlined constant-time instructions. Instead, we've got this 207-instruction monster… but hey, at least it works. 🤷
The remaining time then went to YuugenMagan's initialization code, which allowed me to immediately remove more declarations from ASM land, but more on that once we get to the rest of that boss fight.

That leaves 76 functions until we're done with TH01! Next up: Card-flipping stage obstacles.

📝 Posted:
🚚 Summary of:
P0165, P0166, P0167
Commits:
7a0e5d8...f2bca01, f2bca01...e697907, e697907...c2de6ab
💰 Funded by:
Ember2528
🏷 Tags:

OK, TH01 missile bullets. Can we maybe have a well-behaved entity type, without any weirdness? Just once?

Ehh, kinda. Apart from another 150 bytes wasted on unused structure members, this code is indeed more on the low end in terms of overall jank. It does become very obvious why dodging these missiles in the YuugenMagan, Mima, and Elis fights feels so awful though: An unfair 46×46 pixel hitbox around Reimu's center pixel, combined with the comeback of 📝 interlaced rendering, this time in every stage. ZUN probably did this because missiles are the only 16×16 sprite in TH01 that is blitted to unaligned X positions, which effectively ends up touching a 32×16 area of VRAM per sprite.
But even if we assume VRAM writes to be the bottleneck here, it would have been totally possible to render every missile in every frame at roughly the same amount of CPU time that the original game uses for interlaced rendering:

That's an optimization that would have significantly benefitted the game, in contrast to all of the fake ones introduced in later games. Then again, this optimization is actually something that the later games do, and it might have in fact been necessary to achieve their higher bullet counts without significant slowdown.

Unfortunately, it was only worth decompiling half of the missile code right now, thanks to gratuitous FPU usage in the other half, where 📝 double variables are compared to float literals. That one will have to wait 📝 until after SinGyoku.


After some effectively unused Mima sprite effect code that is so broken that it's impossible to make sense out of it, we get to the final feature I wanted to cover for all bosses in parallel before returning to Sariel: The separate sprite background storage for moving or animated boss sprites in the Mima, Elis, and Sariel fights. But, uh… why is this necessary to begin with? Doesn't TH01 already reserve the other VRAM page for backgrounds?
Well, these sprites are quite big, and ZUN didn't want to blit them from main memory on every frame. After all, TH01 and TH02 had a minimum required clock speed of 33 MHz, half of the speed required for the later three games. So, he simply blitted these boss sprites to both VRAM pages, leading the usual unblitting calls to only remove the other sprites on top of the boss. However, these bosses themselves want to move across the screen… and this makes it necessary to save the stage background behind them in some other way.

Enter .PTN, and its functions to capture a 16×16 or 32×32 square from VRAM into a sprite slot. No problem with that approach in theory, as the size of all these bigger sprites is a multiple of 32×32; splitting a larger sprite into these smaller 32×32 chunks makes the code look just a little bit clumsy (and, of course, slower).
But somewhere during the development of Mima's fight, ZUN apparently forgot that those sprite backgrounds existed. And once Mima's 🚫 casting sprite is blitted on top of her regular sprite, using just regular sprite transparency, she ends up with her infamous third arm:

TH01 Mima's third arm

Ironically, there's an unused code path in Mima's unblit function where ZUN assumes a height of 48 pixels for Mima's animation sprites rather than the actual 64. This leads to even clumsier .PTN function calls for the bottom 128×16 pixels… Failing to unblit the bottom 16 pixels would have also yielded that third arm, although it wouldn't have looked as natural. Still wouldn't say that it was intentional; maybe this casting sprite was just added pretty late in the game's development?


So, mission accomplished, Sariel unblocked… at 2¼ pushes. :thonk: That's quite some time left for some smaller stage initialization code, which bundles a bunch of random function calls in places where they logically really don't belong. The stage opening animation then adds a bunch of VRAM inter-page copies that are not only redundant but can't even be understood without knowing the hidden internal state of the last VRAM page accessed by previous ZUN code…
In better news though: Turbo C++ 4.0 really doesn't seem to have any complexity limit on inlining arithmetic expressions, as long as they only operate on compile-time constants. That's how we get macro-free, compile-time Shift-JIS to JIS X 0208 conversion of the individual code points in the 東方★靈異伝 string, in a compiler from 1994. As long as you don't store any intermediate results in variables, that is… :tannedcirno:

But wait, there's more! With still ¼ of a push left, I also went for the boss defeat animation, which includes the route selection after the SinGyoku fight.
As in all other instances, the 2× scaled font is accomplished by first rendering the text at regular 1× resolution to the other, invisible VRAM page, and then scaled from there to the visible one. However, the route selection is unique in that its scaled text is both drawn transparently on top of the stage background (not onto a black one), and can also change colors depending on the selection. It would have been no problem to unblit and reblit the text by rendering the 1× version to a position on the invisible VRAM page that isn't covered by the 2× version on the visible one, but ZUN (needlessly) clears the invisible page before rendering any text. :zunpet: Instead, he assigned a separate VRAM color for both the 魔界 and 地獄 options, and only changed the palette value for these colors to white or gray, depending on the correct selection. This is another one of the 📝 rare cases where TH01 demonstrates good use of PC-98 hardware, as the 魔界へ and 地獄へ strings don't need to be reblitted during the selection process, only the Orb "cursor" does.

Then, why does this still not count as good-code? When changing palette colors, you kinda need to be aware of everything else that can possibly be on screen, which colors are used there, and which aren't and can therefore be used for such an effect without affecting other sprites. In this case, well… hover over the image below, and notice how Reimu's hair and the bomb sprites in the HUD light up when Makai is selected:

Demonstration of palette changes in TH01's route selection

This push did end on a high note though, with the generic, non-SinGyoku version of the defeat animation being an easily parametrizable copy. And that's how you decompile another 2.58% of TH01 in just slightly over three pushes.


Now, we're not only ready to decompile Sariel, but also Kikuri, Elis, and SinGyoku without needing any more detours into non-boss code. Thanks to the current TH01 funding subscriptions, I can plan to cover most, if not all, of Sariel in a single push series, but the currently 3 pending pushes probably won't suffice for Sariel's 8.10% of all remaining code in TH01. We've got quite a lot of not specifically TH01-related funds in the backlog to pass the time though.

Due to recent developments, it actually makes quite a lot of sense to take a break from TH01: spaztron64 has managed what every Touhou download site so far has failed to do: Bundling all 5 game onto a single .HDI together with pre-configured PC-98 emulators and a nice boot menu, and hosting the resulting package on a proper website. While this first release is already quite good (and much better than my attempt from 2014), there is still a bit of room for improvement to be gained from specific ReC98 research. Next up, therefore:

📝 Posted:
🚚 Summary of:
P0160, P0161
Commits:
e491cd7...42ba4a5, 42ba4a5...81dd96e
💰 Funded by:
Yanga, [Anonymous]
🏷 Tags:

Nothing really noteworthy in TH01's stage timer code, just yet another HUD element that is needlessly drawn into VRAM. Sure, ZUN applies his custom boldfacing effect on top of the glyphs retrieved from font ROM, but he could have easily installed those modified glyphs as gaiji.
Well, OK, halfwidth gaiji aren't exactly well documented, and sometimes not even correctly emulated 📝 due to the same PC-98 hardware oddity I was researching last month. I've reserved two of the pending anonymous "anything" pushes for the conclusion of this research, just in case you were wondering why the outstanding workload is now lower after the two delivered here.

And since it doesn't seem to be clearly documented elsewhere: Every 2 ticks on the stage timer correspond to 4 frames.


So, TH01 rank pellet speed. The resident pellet speed value is a factor ranging from a minimum of -0.375 up to a maximum of 0.5 (pixels per frame), multiplied with the difficulty-adjusted base speed for each pellet and added on top of that same speed. This multiplier is modified

Apparently, ZUN noted that these deltas couldn't be losslessly stored in an IEEE 754 floating-point variable, and therefore didn't store the pellet speed factor exactly in a way that would correspond to its gameplay effect. Instead, it's stored similar to Q12.4 subpixels: as a simple integer, pre-multiplied by 40. This results in a raw range of -15 to 20, which is what the undecompiled ASM calls still use. When spawning a new pellet, its base speed is first multiplied by that factor, and then divided by 40 again. This is actually quite smart: The calculation doesn't need to be aware of either Q12.4 or the 40× format, as ((Q12.4 * factor×40) / factor×40) still comes out as a Q12.4 subpixel even if all numbers are integers. The only limiting issue here would be the potential overflow of the 16-bit multiplication at unadjusted base speeds of more than 50 pixels per frame, but that'd be seriously unplayable.
So yeah, pellet speed modifications are indeed gradual, and don't just fall into the coarse three "high, normal, and low" categories.


That's ⅝ of P0160 done, and the continue and pause menus would make good candidates to fill up the remaining ⅜… except that it seemed impossible to figure out the correct compiler options for this code?
The issues centered around the two effects of Turbo C++ 4.0J's -O switch:

  1. Optimizing jump instructions: merging duplicate successive jumps into a single one, and merging duplicated instructions at the end of conditional branches into a single place under a single branch, which the other branches then jump to
  2. Compressing ADD SP and POP CX stack-clearing instructions after multiple successive CALLs to __cdecl functions into a single ADD SP with the combined parameter stack size of all function calls

But how can the ASM for these functions exhibit #1 but not #2? How can it be seemingly optimized and unoptimized at the same time? The only option that gets somewhat close would be -O- -y, which emits line number information into the .OBJ files for debugging. This combination provides its own kind of #1, but these functions clearly need the real deal.

The research into this issue ended up consuming a full push on its own. In the end, this solution turned out to be completely unrelated to compiler options, and instead came from the effects of a compiler bug in a totally different place. Initializing a local structure instance or array like

const uint4_t flash_colors[3] = { 3, 4, 5 };

always emits the { 3, 4, 5 } array into the program's data segment, and then generates a call to the internal SCOPY@ function which copies this data array to the local variable on the stack. And as soon as this SCOPY@ call is emitted, the -O optimization #1 is disabled for the entire rest of the translation unit?!
So, any code segment with an SCOPY@ call followed by __cdecl functions must strictly be decompiled from top to bottom, mirroring the original layout of translation units. That means no TH01 continue and pause menus before we haven't decompiled the bomb animation, which contains such an SCOPY@ call. 😕
Luckily, TH01 is the only game where this bug leads to significant restrictions in decompilation order, as later games predominantly use the pascal calling convention, in which each function itself clears its stack as part of its RET instruction.


What now, then? With 51% of REIIDEN.EXE decompiled, we're slowly running out of small features that can be decompiled within ⅜ of a push. Good that I haven't been looking a lot into OP.EXE and FUUIN.EXE, which pretty much only got easy pieces of code left to do. Maybe I'll end up finishing their decompilations entirely within these smaller gaps?
I still ended up finding one more small piece in REIIDEN.EXE though: The particle system, seen in the Mima fight.

I like how everything about this animation is contained within a single function that is called once per frame, but ZUN could have really consolidated the spawning code for new particles a bit. In Mima's fight, particles are only spawned from the top and right edges of the screen, but the function in fact contains unused code for all other 7 possible directions, written in quite a bloated manner. This wouldn't feel quite as unused if ZUN had used an angle parameter instead… :thonk: Also, why unnecessarily waste another 40 bytes of the BSS segment?

But wait, what's going on with the very first spawned particle that just stops near the bottom edge of the screen in the video above? Well, even in such a simple and self-contained function, ZUN managed to include an off-by-one error. This one then results in an out-of-bounds array access on the 80th frame, where the code attempts to spawn a 41st particle. If the first particle was unlucky to be both slow enough and spawned away far enough from the bottom and right edges, the spawning code will then kill it off before its unblitting code gets to run, leaving its pixel on the screen until something else overlaps it and causes it to be unblitted.
Which, during regular gameplay, will quickly happen with the Orb, all the pellets flying around, and your own player movement. Also, the RNG can easily spawn this particle at a position and velocity that causes it to leave the screen more quickly. Kind of impressive how ZUN laid out the structure of arrays in a way that ensured practically no effect of this bug on the game; this glitch could have easily happened every 80 frames instead. He almost got close to all bugs canceling out each other here! :godzun:

Next up: The player control functions, including the second-biggest function in all of PC-98 Touhou.

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P0099, P0100, P0101, P0102
Commits:
1799d67...1b25830, 1b25830...ceb81db, ceb81db...c11a956, c11a956...b60f38d
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Well, make that three days. Trying to figure out all the details behind the sprite flickering was absolutely dreadful…
It started out easy enough, though. Unsurprisingly, TH01 had a quite limited pellet system compared to TH04 and TH05:

As expected from TH01, the code comes with its fair share of smaller, insignificant ZUN bugs and oversights. As you would also expect though, the sprite flickering points to the biggest and most consequential flaw in all of this.


Apparently, it started with ZUN getting the impression that it's only possible to use the PC-98 EGC for fast blitting of all 4 bitplanes in one CPU instruction if you blit 16 horizontal pixels (= 2 bytes) at a time. Consequently, he only wrote one function for EGC-accelerated sprite unblitting, which can only operate on a "grid" of 16×1 tiles in VRAM. But wait, pellets are not only just 8×8, but can also be placed at any unaligned X position…

… yet the game still insists on using this 16-dot-aligned function to unblit pellets, forcing itself into using a super sloppy 16×8 rectangle for the job. 🤦 ZUN then tried to mitigate the resulting flickering in two hilarious ways that just make it worse:

  1. An… "interlaced rendering" mode? This one's activated for all Stage 15 and 20 fights, and separates pellets into two halves that are rendered on alternating frames. Collision detection with the Yin-Yang Orb and the player is only done for the visible half, but collision detection with player shots is still done for all pellets every frame, as are motion updates – so that pellets don't end up moving half as fast as they should.
    So yeah, your eyes weren't deceiving you. The game does effectively drop its perceived frame rate in the Elis, Kikuri, Sariel, and Konngara fights, and it does so deliberately.
  2. 📝 Just like player shots, pellets are also unblitted, moved, and rendered in a single function. Thanks to the 16×8 rectangle, there's now the (completely unnecessary) possibility of accidentally unblitting parts of a sprite that was previously drawn into the 8 pixels right of a pellet. And this is where ZUN went full :tannedcirno: and went "oh, I know, let's test the entire 16 pixels, and in case we got an entity there, we simply make the pellet invisible for this frame! Then we don't even have to unblit it later!" :zunpet:

    Except that this is only done for the first 3 elements of the player shot array…?! Which don't even necessarily have to contain the 3 shots fired last. It's not done for the player sprite, the Orb, or, heck, other pellets that come earlier in the pellet array. (At least we avoided going 𝑂(𝑛²) there?)

    Actually, and I'm only realizing this now as I type this blog post: This test is done even if the shots at those array elements aren't active. So, pellets tend to be made invisible based on comparisons with garbage data. :onricdennat:

    And then you notice that the player shot unblit​/​move​/​render function is actually only ever called from the pellet unblit​/​move​/​render function on the one global instance of the player shot manager class, after pellets were unblitted. So, we end up with a sequence of

    Pellet unblit → Pellet move → Shot unblit → Shot move → Shot render → Pellet render

    which means that we can't ever unblit a previously rendered shot with a pellet. Sure, as terrible as this one function call is from a software architecture perspective, it was enough to fix this issue. Yet we don't even get the intended positive effect, and walk away with pellets that are made temporarily invisible for no reason at all. So, uh, maybe it all just was an attempt at increasing the ramerate on lower spec PC-98 models?

Yup, that's it, we've found the most stupid piece of code in this game, period. It'll be hard to top this.


I'm confident that it's possible to turn TH01 into a well-written, fluid PC-98 game, with no flickering, and no perceived lag, once it's position-independent. With some more in-depth knowledge and documentation on the EGC (remember, there's still 📝 this one TH03 push waiting to be funded), you might even be able to continue using that piece of blitter hardware. And no, you certainly won't need ASM micro-optimizations – just a bit of knowledge about which optimizations Turbo C++ does on its own, and what you'd have to improve in your own code. It'd be very hard to write worse code than what you find in TH01 itself.

(Godbolt for Turbo C++ 4.0J when? Seriously though, that would 📝 also be a great project for outside contributors!)


Oh well. In contrast to TH04 and TH05, where 4 pushes only covered all the involved data types, they were enough to completely cover all of the pellet code in TH01. Everything's already decompiled, and we never have to look at it again. 😌 And with that, TH01 has also gone from by far the least RE'd to the most RE'd game within ReC98, in just half a year! 🎉
Still, that was enough TH01 game logic for a while. :tannedcirno: Next up: Making up for the delay with some more relaxing and easy pieces of TH01 code, that hopefully make just a bit more sense than all this garbage. More image formats, mainly.

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To finish this TH05 stretch, we've got a feature that's exclusive to TH05 for once! As the final memory management innovation in PC-98 Touhou, TH05 provides a single static (64 * 26)-byte array for storing up to 64 entities of a custom type, specific to a stage or boss portion. (Edit (2023-05-29): This system actually debuted in 📝 TH04, where it was used for much simpler entities.)

TH05 uses this array for

  1. the Stage 2 star particles,
  2. Alice's puppets,
  3. the tip of curve ("jello") bullets,
  4. Mai's snowballs and Yuki's fireballs,
  5. Yumeko's swords,
  6. and Shinki's 32×32 bullets,

which makes sense, given that only one of those will be active at any given time.

On the surface, they all appear to share the same 26-byte structure, with consistently sized fields, merely using its 5 generic fields for different purposes. Looking closer though, there actually are differences in the signedness of certain fields across the six types. uth05win chose to declare them as entirely separate structures, and given all the semantic differences (pixels vs. subpixels, regular vs. tiny master.lib sprites, …), it made sense to do the same in ReC98. It quickly turned out to be the only solution to meet my own standards of code readability.

Which blew this one up to two pushes once again… But now, modders can trivially resize any of those structures without affecting the other types within the original (64 * 26)-byte boundary, even without full position independence. While you'd still have to reduce the type-specific number of distinct entities if you made any structure larger, you could also have more entities with fewer structure members.

As for the types themselves, they're full of redundancy once again – as you might have already expected from seeing #4, #5, and #6 listed as unrelated to each other. Those could have indeed been merged into a single 32×32 bullet type, supporting all the unique properties of #4 (destructible, with optional revenge bullets), #5 (optional number of twirl animation frames before they begin to move) and #6 (delay clouds). The *_add(), *_update(), and *_render() functions of #5 and #6 could even already be completely reverse-engineered from just applying the structure onto the ASM, with the ones of #3 and #4 only needing one more RE push.

But perhaps the most interesting discovery here is in the curve bullets: TH05 only renders every second one of the 17 nodes in a curve bullet, yet hit-tests every single one of them. In practice, this is an acceptable optimization though – you only start to notice jagged edges and gaps between the fragments once their speed exceeds roughly 11 pixels per second:

And that brings us to the last 20% of TH05 position independence! But first, we'll have more cheap and fast TH01 progress.