📝 Posted:

2024-04-11 22:45 UTC

🚚 Summary of:

P0278, P0279

⌨ Commits:

b6a7285...f0fbaf6, f0fbaf6...20bac82

💰 Funded by:

Yanga, Blue Bolt

🏷 Tags:

th02

+

rec98

+

cutscene

+

file-format

+

animation

+

pc98

+

unused

-

midboss

+

waste

-

score

+

sigma

+

That was quick: In a surprising turn of events, Romantique Tp themselves came in just one day after the last blog post went up, updated me with their current and much more positive opinion on Sound Canvas VA, and confirmed that real SC-88Pro hardware clamps invalid Reverb Macro values to the specified range. I promised to release a new Sound Canvas VA BGM pack for free once I knew the exact behavior of real hardware, so let's go right back to Seihou and also integrate the necessary SysEx patches into the game's MIDI player behind a toggle. This would also be a great occasion to quickly incorporate some long overdue code maintenance and build system improvements, and a migration to C++ modules in particular. When I started the Shuusou Gyoku Linux port a year ago, the combination of modules and <windows.h> threw lots of weird errors and even crashed the Visual Studio compiler. But nowadays, Microsoft even uses modules in the Office code base. This must mean that these issues are fixed by now, right?
Well, there's still a bug that causes the modularized C++ standard library to be basically unusable in combination with the static analyzer, and somehow, I was the first one to report it. So it's 3½ years after C++20 was finalized, and somehow, modules are still a bleeding-edge feature and a second-class citizen in even the compiler that supports them the best. I want fast compile times already! 😕
Thankfully, Microsoft agrees that this is a bug, and will work on it at some point. While we're waiting, let's return to the original plan of decompiling the endings of the one PC-98 Touhou game that still needed them decompiled.

1. TH02's endings
2. TH02's Staff Roll
3. TH02's verdict screen, and its hidden challenge
4. TH02's end-of-stage bonus screens

After the textless slideshows of TH01, TH02 was the first Touhou game to feature lore text in its endings. Given that this game stores its 📝 in-game dialog text in fixed-size plaintext files, you wouldn't expect anything more fancy for the endings either, so it's not surprising to see that the END?.TXT files use the same concept, with 44 visible bytes per line followed by two bytes of padding for the CR/LF newline sequence. Each of these lines is typed to the screen in full, with all whitespace and a fixed time for each 2-byte chunk.
As a result, everything surrounding the text is just as hardcoded as TH01's endings were, which once again opens up the possibility of freely integrating all sorts of creative animations without the overhead of an interpreter. Sadly, TH02 only makes use of this freedom in a mere two cases: the picture scrolling effect from Reimu's head to Marisa's head in the Bad Endings, and a single hardware palette change in the Good Endings.

Hardcoding also still made sense for this game because of how the ending text is structured. The Good and Bad Endings for the individual shot types respectively share 55% and 77% of their text, and both only diverge after the first 27 lines. In straight-line procedural code, this translates to one branch for each shot type at a single point, neatly matching the high-level structure of these endings.

But that's the end of the positive or neutral aspects I can find in these scripts. The worst part, by far, is ZUN's approach to displaying the text in alternating colors, and how it impacts the entire structure of the code.
The simplest solution would have involved a hardcoded array with the color of each line, just like how the in-game dialogs store the face IDs for each text box. But for whatever reason, ZUN did not apply this piece of wisdom to the endings and instead hardcoded these color changes by… mutating a global variable before calling the text typing function for every individual line. This approach ruins any possibility of compressing the script code into loops. While ZUN did use loops, all of them are very short because they can only last until the next color change. In the end, the code contains 90 explicitly spelled-out calls to the 5-parameter line typing function that only vary in the pointer to each line and in the slower speed used for the one or two final lines of each ending. As usual, I've deduplicated the code in the ReC98 repository down to a sensible level, but here's the full inlined and macro-expanded horror:

All this redundancy bloats the two script functions for the 6 endings to a whopping 3,344 bytes inside TH02's MAINE.EXE. In particular, the single function that covers the three Good Endings ends up with a total of 631 x86 ASM instructions, making it the single largest function in TH02 and the 7^th longest function in all of PC-98 Touhou. If the 📝 single-executable build for TH02's debloated and anniversary branches ends up needing a few more KB to reduce its size below the original MAIN.EXE, there are lots of opportunities to compress it all.

The ending text can also be fast-forwarded by holding any key. As we've come to expect for this sort of ZUN code, the text typing function runs its own rendering loop with VSync delays and input detection, which means that we 📝 once 📝 again have to talk about the infamous quirk of the PC-98 keyboard controller in relation to held keys. We've still got 54 not yet decompiled calls to input detection functions left in this codebase, are you excited yet?!
Holding any key speeds up the text of all ending lines before the last one by displaying two kana/kanji instead of one per rendered frame and reducing the delay between the rendered frames to ¹/₃ of its regular length. In pseudocode:

for(i = 0; i < number_of_2_byte_chunks_on_displayed_line; i++) {
	input = convert_current_pc98_bios_input_state_to_game_specific_bitflags();
	add_chunk_to_internal_text_buffer(i);
	blit_internal_text_buffer_from_the_beginning();
	if(input == INPUT_NONE) {
		// Basic case, no key pressed
		frame_delay(frames_per_chunk);
	} else if((i % 2) == 1) {
		// Key pressed, chunk number is odd.
		frame_delay(frames_per_chunk / 3);
	} else {
		// Key pressed, chunk number is even.
		// No delay; next iteration adds to the same frame.
	}
}

This is exactly the kind of code you would write if you wanted to deliberately maximize the impact of this hardware quirk. If the game happens to read the current input state right after a key up scancode for the last previously held and game-relevant key, it will then wrongly take the branch that uninterruptibly waits for the regular, non-divided amount of VSync interrupts. In my tests, this broke the rhythm of the fast-forwarded text about once per line. Note how this branch can also be taken on an even chunk: Rendering glyphs straight from font ROM to VRAM is not exactly cheap, and if each iteration (needlessly) blits one more full-width glyph than the last one, the probability of a key up scancode arriving in the middle of a frame only increases.
The fact that TH02 allows any of the supported input keys to be held points to another detail of this quirk I haven't mentioned so far. If you press multiple keys at once, the PC-98's keyboard controller only sends the periodic key up scancodes as long as you are holding the last key you pressed. Because the controller only remembers this last key, pressing and releasing any other key would get rid of these scancodes for all keys you are still holding.
As usual, this ZUN bug only occurs on real hardware and with DOSBox-X's correct emulation of the PC-98 keyboard controller.

After the ending, we get to witness the most seamless transition between ending and Staff Roll in any Touhou game as the BGM immediately changes to the Staff Roll theme, and the ending picture is shifted into the same place where the Staff Roll pictures will appear. Except that the code misses the exact position by four pixels, and cuts off another four pixels at the right edge of the picture:

What follows is a comparatively large amount of unused content for a single scene. It starts right at the end of this underappreciated 11-frame animation loaded from ENDFT.BFT:

TH02's Staff Roll is also unique for the pre-made screenshots of all 5 stages that get shown together with a fancy rotating rectangle animation while the Staff Roll progresses in sync with the BGM. The first interesting detail shows up immediately after the first image, where the code jumps over one of the 320×200 quarters in ED06.PI, leaving the screenshot of the Stage 2 midboss unused.
All of the cutscenes in PC-98 Touhou store their pictures as 320×200 quarters within a single 640×400 .PI file. Anywhere else, all four quarters are supposed to be displayed with the same palette specified in the .PI header, but TH02's Staff Roll screenshots are also unique in how all quarters beyond the top-left one require palettes loaded from external .RGB files to look right. Consequently, the game doesn't clearly specify the intended palette of this unused screenshot, and leaves two possibilities:

It might seem obvious that the Stage 2 palette in 1️⃣ is the correct one, but ZUN indeed uses ED06B.RGB with the red-tinted white color for the following screenshot of the Meira fight. Not only does this palette not match Meira's in-game appearance, but it also discolors the rectangle animation and the surrounding Staff Roll text:

But when I went into Stage 2 to compare these colors to the in-game palette, I found something even more curious. ZUN obviously made this screenshot with the Reimu-C shot type, but one of the shot sprites looks slightly different from how it does in-game. These screenshots must have been made earlier in development when the sprite didn't yet feature the second ring at the top. The same applies to the Stage 4 screenshot later on:

Finally, the rotating rectangle animation delivers one more minor rendering bug. Each of the 20 frames removes the largest and outermost rectangle from VRAM by redrawing it in the same black color of the background before drawing the remaining rectangles on top. The corners of these rectangles are placed on a shrinking circle that starts with a radius of 256 pixels and is centered at (192, 200), which results in a maximum possible X coordinate of 448 for the rightmost corner of the rectangle. However, the Staff Roll text starts at an X coordinate of 416, causing the first two full-width glyphs to still fall within the area of the circle. Each line of text is also only rendered once before the animation. So if any of the rectangles then happens to be placed at an angle that causes its edges to overlap the text, its removal will cut small holes of black pixels into the glyphs:

At least the following verdict screen manages to have no bugs aside from the slightly imperfect centering of its table values, and only comes with a small amount of additional bloat. Let's get right to the mapping from skill points to the 12 title strings from END3.TXT, because one of them is not like the others:

So how would you get exactly 77 and achieve vanilla harmony? Here's the formula:

And with that, TH02's MAINE.EXE is both fully position-independent and ready for translation. There's a tiny bit of undecompiled bit of code left in the binary, but I'll leave that for rounding up a future TH02 decompilation push.

With one of the game's skill-based formulas decompiled, it's fitting to round out the second push with the other two. The in-game bonus tables at the end of a stage also have labels that we'd eventually like to translate, after all.
The bonus formula for the 4 regular stages is also the first place where we encounter TH02's rank value, as well as the only instance in PC-98 Touhou where the game actually displays a rank-derived value to the player. KirbyComment and Colin Douglas Howell accurately documented the rank mechanics over at Touhou Wiki two years ago, which helped quite a bit as rank would have been slightly out of scope for these two pushes. 📝 Similar to TH01, TH02's rank value only affects bullet speed, but the exact details of how rank is factored in will have to wait until RE progress arrives at this game's bullet system.
These bonuses are calculated by taking a sum of various gameplay metrics and multiplying it with the amount of point items collected during the stage. In the 4 regular stages, the sum consists of:

As rank can range from -6 to +4 on Easy and +16 on the other difficulties, this sum can range between:

The sum for the Extra Stage is not documented in 封魔録.TXT:

And that's two pushes packed full of the most bloated and copy-pasted code that's unique to TH02! So bloated, in fact, that TH02 RE as a whole jumped by almost 7%, which in turn finally pushed overall RE% over the 60% mark. 🎉 It's been a while since we hit a similar milestone; 50% overall RE happened almost 2 years ago during 📝 P0204, a month before I completed the TH01 decompilation.
Next up: Continuing to wait for Microsoft to fix the static analyzer bug until May at the latest, and working towards the newly popular dreams of TH03 netplay by looking at some of its foundational gameplay code.

📝 Posted:

2022-01-31 09:17 UTC

🚚 Summary of:

P0174, P0175, P0176, P0177, P0178, P0179, P0180, P0181

⌨ Commits:

27f901c...a0fe812, a0fe812...40ac9a7, 40ac9a7...c5dc45b, c5dc45b...5f0cabc, 5f0cabc...60621f8, 60621f8...9e5b344, 9e5b344...091f19f, 091f19f...313450f

💰 Funded by:

Ember2528, Yanga

🏷 Tags:

th01

+

rec98

+

gameplay

+

boss

+

sariel

+

danmaku-pattern

+

rng

+

waste

-

pc98

+

blitting

+

good-code

+

glitch

+

tcc

+

unused

-

jank

+

Here we go, TH01 Sariel! This is the single biggest boss fight in all of PC-98 Touhou: If we include all custom effect code we previously decompiled, it amounts to a total of 10.31% of all code in TH01 (and 3.14% overall). These 8 pushes cover the final 8.10% (or 2.47% overall), and are likely to be the single biggest delivery this project will ever see. Considering that I only managed to decompile 6.00% across all games in 2021, 2022 is already off to a much better start!

So, how can Sariel's code be that large? Well, we've got:

• 16 danmaku patterns; including the one snowflake detonating into a giant 94×32 hitbox
• Gratuitous usage of floating-point variables, bloating the binary thanks to Turbo C++ 4.0J's particularly horrid code generation
• The hatching birds that shoot pellets
• 3 separate particle systems, sharing the general idea, overall code structure, and blitting algorithm, but differing in every little detail
• The "gust of wind" background transition animation
• 5 sets of custom monochrome sprite animations, loaded from BOSS6GR?.GRC
• A further 3 hardcoded monochrome 8×8 sprites for the "swaying leaves" pattern during the second form

In total, it's just under 3,000 lines of C++ code, containing a total of 8 definite ZUN bugs, 3 of them being subpixel/pixel confusions. That might not look all too bad if you compare it to the 📝 player control function's 8 bugs in 900 lines of code, but given that Konngara had 0… (Edit (2022-07-17): Konngara contains two bugs after all: A 📝 possible heap corruption in test or debug mode, and the infamous 📝 temporary green discoloration.) And no, the code doesn't make it obvious whether ZUN coded Konngara or Sariel first; there's just as much evidence for either.

Some terminology before we start: Sariel's first form is separated into four phases, indicated by different background images, that cycle until Sariel's HP reach 0 and the second, single-phase form starts. The danmaku patterns within each phase are also on a cycle, and the game picks a random but limited number of patterns per phase before transitioning to the next one. The fight always starts at pattern 1 of phase 1 (the random purple lasers), and each new phase also starts at its respective first pattern.

Sariel's bugs already start at the graphics asset level, before any code gets to run. Some of the patterns include a wand raise animation, which is stored in BOSS6_2.BOS:

The "lowered wand" sprite is missing in this file simply because it's captured from the regular background image in VRAM, at the beginning of the fight and after every background transition. What I previously thought to be 📝 background storage code has therefore a different meaning in Sariel's case. Since this captured sprite is fully opaque, it will reset the entire 128×128 wand area… wait, 128×128, rather than 96×96? Yup, this lowered sprite is larger than necessary, wasting 1,967 bytes of conventional memory.
That still doesn't quite explain the second sprite in BOSS6_2.BOS though. Turns out that the black part is indeed meant to unblit the purple reflection (?) in the first sprite. But… that's not how you would correctly unblit that?

Just like Konngara, Sariel continues the approach of using a single function per danmaku pattern or custom entity. While I appreciate that this allows all pattern- and entity-specific state to be scoped locally to that one function, it quickly gets ugly as soon as such a function has to do more than one thing.
The "bird function" is particularly awful here: It's just one if(…) {…} else if(…) {…} else if(…) {…} chain with different branches for the subfunction parameter, with zero shared code between any of these branches. It also uses 64-bit floating-point double as its subpixel type… and since it also takes four of those as parameters (y'know, just in case the "spawn new bird" subfunction is called), every call site has to also push four double values onto the stack. Thanks to Turbo C++ even using the FPU for pushing a 0.0 constant, we have already reached maximum floating-point decadence before even having seen a single danmaku pattern. Why decadence? Every possible spawn position and velocity in both bird patterns just uses pixel resolution, with no fractional component in sight. And there goes another 720 bytes of conventional memory.

Speaking about bird patterns, the red-bird one is where we find the first code-level ZUN bug: The spawn cross circle sprite suddenly disappears after it finished spawning all the bird eggs. How can we tell it's a bug? Because there is code to smoothly fly this sprite off the playfield, that code just suddenly forgets that the sprite's position is stored in Q12.4 subpixels, and treats it as raw screen pixels instead. As a result, the well-intentioned 640×400 screen-space clipping rectangle effectively shrinks to 38×23 pixels in the top-left corner of the screen. Which the sprite is always outside of, and thus never rendered again.
The intended animation is easily restored though:

Also, did you know that birds actually have a quite unfair 14×38-pixel hitbox? Not that you'd ever collide with them in any of the patterns…

Another 3 of the 8 bugs can be found in the symmetric, interlaced spawn rays used in three of the patterns, and the 32×32 debris "sprites" shown at their endpoint, at the edge of the screen. You kinda have to commend ZUN's attention to detail here, and how he wrote a lot of code for those few rapidly animated pixels that you most likely don't even notice, especially with all the other wrong pixels resulting from rendering glitches. One of the bugs in the very final pattern of phase 4 even turns them into the vortex sprites from the second pattern in phase 1 during the first 5 frames of the first time the pattern is active, and I had to single-step the blitting calls to verify it.
It certainly was annoying how much time I spent making sense of these bugs, and all weird blitting offsets, for just a few pixels… Let's look at something more wholesome, shall we?

So far, we've only seen the PC-98 GRCG being used in RMW (read-modify-write) mode, which I previously 📝 explained in the context of TH01's red-white HP pattern. The second of its three modes, TCR (Tile Compare Read), affects VRAM reads rather than writes, and performs "color extraction" across all 4 bitplanes: Instead of returning raw 1bpp data from one plane, a VRAM read will instead return a bitmask, with a 1 bit at every pixel whose full 4-bit color exactly matches the color at that offset in the GRCG's tile register, and 0 everywhere else. Sariel uses this mode to make sure that the 2×2 particles and the wind effect are only blitted on top of "air color" pixels, with other parts of the background behaving like a mask. The algorithm:

1. Set the GRCG to TCR mode, and all 8 tile register dots to the air color
2. Read N bits from the target VRAM position to obtain an N-bit mask where all 1 bits indicate air color pixels at the respective position
3. AND that mask with the alpha plane of the sprite to be drawn, shifted to the correct start bit within the 8-pixel VRAM byte
4. Set the GRCG to RMW mode, and all 8 tile register dots to the color that should be drawn
5. Write the previously obtained bitmask to the same position in VRAM

Quite clever how the extracted colors double as a secondary alpha plane, making for another well-earned good-code tag. The wind effect really doesn't deserve it, though:

• ZUN calculates every intermediate result inside this function over and over and over again… Together with some ugly pointer arithmetic, this function turned into one of the most tedious decompilations in a long while.
• This gradual effect is blitted exclusively to the front page of VRAM, since parts of it need to be unblitted to create the illusion of a gust of wind. Then again, anything that moves on top of air-colored background – most likely the Orb – will also unblit whatever it covered of the effect…

As far as I can tell, ZUN didn't use TCR mode anywhere else in PC-98 Touhou. Tune in again later during a TH04 or TH05 push to learn about TDW, the final GRCG mode!

Speaking about the 2×2 particle systems, why do we need three of them? Their only observable difference lies in the way they move their particles:

1. Up or down in a straight line (used in phases 4 and 2, respectively)
2. Left or right in a straight line (used in the second form)
3. Left and right in a sinusoidal motion (used in phase 3, the "dark orange" one)

Out of all possible formats ZUN could have used for storing the positions and velocities of individual particles, he chose a) 64-bit / double-precision floating-point, and b) raw screen pixels. Want to take a guess at which data type is used for which particle system?

If you picked double for 1) and 2), and raw screen pixels for 3), you are of course correct! Not that I'm implying that it should have been the other way round – screen pixels would have perfectly fit all three systems use cases, as all 16-bit coordinates are extended to 32 bits for trigonometric calculations anyway. That's what, another 1.080 bytes of wasted conventional memory? And that's even calculated while keeping the current architecture, which allocates space for 3×30 particles as part of the game's global data, although only one of the three particle systems is active at any given time.

That's it for the first form, time to put on "Civilization of Magic"! Or "死なばもろとも"? Or "Theme of 地獄めくり"? Or whatever SYUGEN is supposed to mean…

… and the code of these final patterns comes out roughly as exciting as their in-game impact. With the big exception of the very final "swaying leaves" pattern: After 📝 Q4.4, 📝 Q28.4, 📝 Q24.8, and double variables, this pattern uses… decimal subpixels? Like, multiplying the number by 10, and using the decimal one's digit to represent the fractional part? Well, sure, if you really insist on moving the leaves in cleanly represented integer multiples of ⅒, which is infamously impossible in IEEE 754. Aside from aesthetic reasons, it only really combines less precision (10 possible fractions rather than the usual 16) with the inferior performance of having to use integer divisions and multiplications rather than simple bit shifts. And it's surely not because the leaf sprites needed an extended integer value range of [-3276, +3276], compared to Q12.4's [-2047, +2048]: They are clipped to 640×400 screen space anyway, and are removed as soon as they leave this area.

This pattern also contains the second bug in the "subpixel/pixel confusion hiding an entire animation" category, causing all of BOSS6GR4.GRC to effectively become unused:

At least their hitboxes are what you would expect, exactly covering the 30×30 pixels of Reimu's sprite. Both animation fixes are available on the th01_sariel_fixes branch.

After all that, Sariel's main function turned out fairly unspectacular, just putting everything together and adding some shake, transition, and color pulse effects with a bunch of unnecessary hardware palette changes. There is one reference to a missing BOSS6.GRP file during the first→second form transition, suggesting that Sariel originally had a separate "first form defeat" graphic, before it was replaced with just the shaking effect in the final game.
Speaking about the transition code, it is kind of funny how the… um, imperative and concrete nature of TH01 leads to these 2×24 lines of straight-line code. They kind of look like ZUN rattling off a laundry list of subsystems and raw variables to be reinitialized, making damn sure to not forget anything.

Whew! Second PC-98 Touhou boss completely decompiled, 29 to go, and they'll only get easier from here! 🎉 The next one in line, Elis, is somewhere between Konngara and Sariel as far as x86 instruction count is concerned, so that'll need to wait for some additional funding. Next up, therefore: Looking at a thing in TH03's main game code – really, I have little idea what it will be!

Now that the store is open again, also check out the 📝 updated RE progress overview I've posted together with this one. In addition to more RE, you can now also directly order a variety of mods; all of these are further explained in the order form itself.

📝 Posted:

2021-10-20 09:58 UTC

🚚 Summary of:

P0162, P0163, P0164

⌨ Commits:

81dd96e...24b3a0d, 24b3a0d...6d572b3, 6d572b3...7a0e5d8

💰 Funded by:

Ember2528, Yanga

🏷 Tags:

th01

+

rec98

+

gameplay

+

player

+

shot

+

animation

+

glitch

+

waste

-

jank

+

unused

-

No technical obstacles for once! Just pure overcomplicated ZUN code. Unlike 📝 Konngara's main function, the main TH01 player function was every bit as difficult to decompile as you would expect from its size.

With TH01 using both separate left- and right-facing sprites for all of Reimu's moves and separate classes for Reimu's 32×32 and 48×* sprites, we're already off to a bad start. Sure, sprite mirroring is minimally more involved on PC-98, as the planar nature of VRAM requires the bits within an 8-pixel byte to also be mirrored, in addition to writing the sprite bytes from right to left. TH03 uses a 256-byte lookup table for this, generated at runtime by an infamous micro-optimized and undecompilable ASM algorithm. With TH01's existing architecture, ZUN would have then needed to write 3 additional blitting functions. But instead, he chose to waste a total of 26,112 bytes of memory on pre-mirrored sprites…

Alright, but surely selecting those sprites from code is no big deal? Just store the direction Reimu is facing in, and then add some branches to the rendering code. And there is in fact a variable for Reimu's direction… during regular arrow-key movement, and another one while shooting and sliding, and a third as part of the special attack types, launched out of a slide.
Well, OK, technically, the last two are the same variable. But that's even worse, because it means that ZUN stores two distinct enums at the same place in memory: Shooting and sliding uses 1 for left, 2 for right, and 3 for the "invalid" direction of holding both, while the special attack types indicate the direction in their lowest bit, with 0 for right and 1 for left. I decompiled the latter as bitflags, but in ZUN's code, each of the 8 permutations is handled as a distinct type, with copy-pasted and adapted code… The interpretation of this two-enum "sub-mode" union variable is controlled by yet another "mode" variable… and unsurprisingly, two of the bugs in this function relate to the sub-mode variable being interpreted incorrectly.

Also, "rendering code"? This one big function basically consists of separate unblit→update→render code snippets for every state and direction Reimu can be in (moving, shooting, swinging, sliding, special-attacking, and bombing), pasted together into a tangled mess of nested if(…) statements. While a lot of the code is copy-pasted, there are still a number of inconsistencies that defeat the point of my usual refactoring treatment. After all, with a total of 85 conditional branches, anything more than I did would have just obscured the control flow too badly, making it even harder to understand what's going on.
In the end, I spotted a total of 8 bugs in this function, all of which leave Reimu invisible for one or more frames:

• 2 frames after all special attacks
• 2 frames after swing attacks, and
• 4 frames before swing attacks

Thanks to the last one, Reimu's first swing animation frame is never actually rendered. So whenever someone complains about TH01 sprite flickering on an emulator: That emulator is accurate, it's the game that's poorly written.

And guess what, this function doesn't even contain everything you'd associate with per-frame player behavior. While it does handle Yin-Yang Orb repulsion as part of slides and special attacks, it does not handle the actual player/Orb collision that results in lives being lost. The funny thing about this: These two things are done in the same function…

Therefore, the life loss animation is also part of another function. This is where we find the final glitch in this 3-push series: Before the 16-frame shake, this function only unblits a 32×32 area around Reimu's center point, even though it's possible to lose a life during the non-deflecting part of a 48×48-pixel animation. In that case, the extra pixels will just stay on screen during the shake. They are unblitted afterwards though, which suggests that ZUN was at least somewhat aware of the issue?
Finally, the chance to see the alternate life loss sprite is exactly ⅛.

As for any new insights into game mechanics… you know what? I'm just not going to write anything, and leave you with this flowchart instead. Here's the definitive guide on how to control Reimu in TH01 we've been waiting for 24 years:

Pellets are deflected during all gray states. Not shown is the obvious "double-tap Z and X" transition from all non-(#1) states to the Bomb state, but that would have made this diagram even more unwieldy than it turned out. And yes, you can shoot twice as fast while moving left or right.

While I'm at it, here are two more animations from MIKO.PTN which aren't referenced by any code:

With that monster of a function taken care of, we've only got boss sprite animation as the final blocker of uninterrupted Sariel progress. Due to some unfavorable code layout in the Mima segment though, I'll need to spend a bit more time with some of the features used there. Next up: The missile bullets used in the Mima and YuugenMagan fights.