Scale the 1.2.1 gear rotation threshold by the AI update's frame delta, as 1.4.3 does (#330, #984)

ActorCheckRotateModule's update compared the angle a gear turned since the last update with one 30 Hz frame's worth,
so above 30 fps gears and water wheels read as stopped and the Riogok, Turakamik and Wind Temple doors stayed shut.
The new set gears keeps the update context's +8 (frames elapsed in 30 Hz units, the value 1.4.3 divides by) and
multiplies the threshold by it. Measured: the context is 0.25 at 120 fps with the real-time step and 0.5 at 60 fps
without it.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

recomp/patches-v121.txt

@@ -65,6 +65,22 @@ site cursor main ec3d9c bd400361 f94002e9 bd400930 1e300800 bd400361   # map pan
 site cursor main 1d48d64 1e2a198c 1e2a198c bd400a90 1e30098c   # fdiv s12, s12, s10, then s12 *= [x20 + 8]: vertical Ultrahand aim
 site cursor main 1d484e4 1e200923 1e200923 bd400a90 1e300863   # fmul s3, s9, s0, then s3 *= [x20 + 8]: vertical gyro aim (Recall)
 
+# Gear rotation check (issues #330, #984). The update of ActorCheckRotateModule (main+0x21350c0; vtable +0x110, called
+# by the AI node dispatchers main+0x11f5a40 / 0x2adbcf8 with x1 = the update context) reports a gear or water wheel as
+# turning when the angle it turned since the previous update is above RotateStartDeg / 30, the angle of one 30 Hz
+# frame. Above 30 fps a gear turns less per update than that, reads as stopped, and the shrine doors that wait on it
+# (Riogok, Turakamik, the Wind Temple) never open. 1.4.3 (main+0x273d080) divides the angle by the context's +8, the
+# frame delta in 30 Hz frames (the AI root sets it from its owner's virtual +0x30, main+0x106acc4, and the frame
+# counter node SelectorGenericFrameCounter, main+0x10b66f8, adds it up per update). 1.2.1 gets the same context and
+# ignores it: the update overwrites x1 with its first instruction. The first site keeps ctx+8 in s12 (the prologue has
+# saved d12, the function first writes it at the second site, and callees preserve it); the second multiplies the
+# threshold by it, which is 1.4.3's test with both sides multiplied by the delta. s4 is free after the fdiv: the next
+# read follows a write in the callee main+0x11c2014. The context follows the measured step with the set realtime and is
+# the whole-vsync ratio without it (0.25 at 120 fps, 0.5 at 60 fps measured), so the set works either way.
+set gears    TOTK_HIGHFPS_FIX    1
+site gears main 21350e0 f9402001 bd40082c f9402001   # ldr x1, [x0, #0x40], after ldr s12, [x1, #8] (frame delta)
+site gears main 21352d0 1e24180c 1e241804 1e2c088c   # fdiv s12, s0, s4 -> fdiv s4, s0, s4; fmul s12, s4, s12
+
 # Output size (upstream games/totk/runtime/game_patches.c patch_output_res; runtime/resolution.c switches the set on).
 # The swapchain size nnMain writes before NvInitializeGraphics comes from page +48 ({w, h} as one 64-bit value), and
 # the output size the renderer lays out its canvas, crop and UI in (main+0xcc3f00, read from the graphics parameters