LEDMatrix/docs/SCROLL_PERFORMANCE.md

Scroll Performance

How scrolling is paced on this hardware, what was wrong with it, and how to configure a plugin so its marquee is smooth.

Measured on a Raspberry Pi 4 driving a 2×128×64 chain (256×64 logical) at limit_refresh_rate_hz: 100. Numbers below come from that panel.

	before	after
scroll frame rate	44–46 fps	100 fps, locked
frames ≥ 45 ms	14–17%	none observed
dominant frame time	20 ms	10 ms
disk cache write (~1 MB)	14.8 ms	5.4 ms

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The one rule that matters

Motion is smooth when the strip advances a whole number of pixels per panel refresh.

Advancing one pixel per refresh on a 100 Hz panel gives 100 px/s. Slower crisp speeds come from holding each frame for several refreshes -- 50 px/s is one pixel every second refresh -- which is covered under Choosing a speed below. A speed that lands on no such combination has to do one of two bad things:

• blend two adjacent columns to render a half-step — on pixel-font text this alternates crisp and smeared frames and reads as shimmer, or as the text jumping a pixel ahead of itself;
• repeat a frame — the strip stands still, then jumps, which reads as judder.

Neither is tunable away. Pick a speed that divides evenly.

src.common.scroll_config solves this for you: configure() snaps a requested speed to the nearest one the panel can actually show in whole pixels, and scripts/scroll_speeds.py prints the full ladder for your hardware.

Choosing a speed

The crisp speeds are not a fixed list -- they depend on how fast your panel refreshes, which depends on its size, pwm_bits, gpio_slowdown and the Pi model. A Pi Zero driving a long chain has a completely different set of good speeds from a Pi 4 driving a short one.

# what can this panel do? (reads your configured refresh rate)
python3 scripts/scroll_speeds.py

# what does it ACTUALLY manage, rather than what is configured?
sudo systemctl stop ledmatrix
sudo python3 scripts/scroll_speeds.py --measure
sudo systemctl start ledmatrix

# highlight the closest option to the speed you want
python3 scripts/scroll_speeds.py --want 45

# try one on the panel
sudo systemctl stop ledmatrix
sudo python3 scripts/scroll_speeds.py --demo 50
sudo systemctl start ledmatrix

Sample ladder for a 100 Hz panel:

  20.0 px/s  (1px every 5 refreshes =  20.0 fps, slightly stepped)
  25.0 px/s  (1px every 4 refreshes =  25.0 fps, slightly stepped)
  33.3 px/s  (1px every 3 refreshes =  33.3 fps, smooth)
  50.0 px/s  (1px every 2 refreshes =  50.0 fps, smooth)
  66.7 px/s  (2px every 3 refreshes =  33.3 fps, smooth)
 100.0 px/s  (1px every 1 refresh  = 100.0 fps, smooth)

How a slow speed stays crisp

SwapOnVSync(canvas, framerate_fraction) holds each frame for N panel refreshes. The panel keeps refreshing at its full rate either way, so holding a frame costs nothing in flicker -- it only changes how often a new image is presented. That is what allows 50 px/s to be one whole pixel every second refresh, instead of half a pixel every refresh (which has no good rendering, only a choice between blur and judder).

scroll_config.configure() snaps the requested speed to the nearest entry on the ladder, sets the helper to advance that entry's whole-pixel step on every presented frame (ScrollHelper.set_pixels_per_frame), and reports the hold that speed needs. It does not apply the hold: the hold belongs to a scroll, not to a plugin's lifetime, and plugins share one display manager -- one set at construction is reset the moment any other plugin finishes scrolling. Apply it yourself when the scroll starts:

settings = scroll_config.configure(
    self.scroll_helper,
    plugin_config=self.config,
    global_config=self.global_config,
    display_manager=self.display_manager,   # supplies the panel refresh rate
)

# ...then, each time this plugin begins scrolling:
self.display_manager.set_scrolling_state(True, frame_hold=settings.frame_hold)

Passing display_manager only lets configure read the true refresh rate from display.hardware, which a plugin config cannot see. Skipping the set_scrolling_state(True, frame_hold=...) call is the mistake that matters. The helper consults no clock in this mode -- it moves the fixed step once per update_scroll_position() call, and SwapOnVSync is what paces those calls -- so without the hold the panel presents a new frame every refresh and the scroll runs frame_hold times too fast: 50 px/s (hold 2) plays at 100 px/s.

Pass snap_to_crisp=False to keep an exact requested speed and accept the artefacts. The helper then paces off elapsed time instead of stepping, and the hold is 1.

The General tab's target_fps ("Scroll Frame Rate") plays no part in any of this: frames are presented at the panel refresh divided by the hold.

Speeds slower than about 20 px/s are stepped no matter what, because a 1-pixel advance at 20 fps is simply a coarse increment. That is the pixel pitch, not a software limit; the only way to move in smaller increments is sub-pixel blending, which this display does not tolerate (see above).

Configuring a plugin

Use the shared resolver rather than reading config keys yourself:

from src.common import scroll_config

settings = scroll_config.configure(
    self.scroll_helper,
    plugin_config=self.config,
    global_config=self.global_config,
    display_manager=self.display_manager,
    plugin_logger=self.logger,
)

# each frame of a scroll (or at least when it starts):
self.display_manager.set_scrolling_state(True, frame_hold=settings.frame_hold)

It resolves every config shape in one place, applies the speed, and returns what it did. Precedence, highest first:

1. display_options.scroll_speed + scroll_delay — the recommended form
2. display.scroll_speed + scroll_delay — deprecated shape
3. scroll_speed + scroll_delay at the root — legacy flat
4. scroll_pixels_per_second — deprecated
5. the global display block
6. the built-in default (100 px/s)

scroll_speed is pixels per frame and scroll_delay is the frame period in seconds, so the pair means scroll_speed / scroll_delay px/s. The recommended config for a 100 Hz panel:

"display_options": { "scroll_speed": 1.0, "scroll_delay": 0.01 }

Why the deprecated key ranks below the explicit pair

Because some plugins give scroll_pixels_per_second a schema default, and schema defaults are merged into plugin config. Ranking it above the pair means it is always present and always wins, so the documented settings become unreachable. That is a real, shipped bug — see ledmatrix-plugins#408.

The flip side: a scroll_pixels_per_second you add by hand is ignored whenever the plugin's config also carries the pair, which it does whenever the pair has a schema default. Set the speed through the pair instead.

The sports scoreboards (src.common.sports_scroll) are the exception to all of the above: they read scroll_settings.scroll_speed per league as px/s directly, and their scroll_delay is kept for compatibility but ignored for pacing.

If you are writing a plugin: do not give a deprecated key a schema default.

What was actually wrong

Four independent faults, each found by measurement.

1. The frame loop slept on top of a wait it had already done

display_controller.py ran the high-FPS loop as render → SwapOnVSync (blocks to the panel's refresh) → time.sleep(0.008) → plugin ticks. The sleep was unconditional and added to a wait that had already happened. Render work measured ~4 ms, so each iteration cost ~12 ms against a 10 ms refresh grid — every swap missed a refresh and landed on the next one. The loop settled at exactly 50 fps while asking for 125, with no headroom, so ~14% of frames slipped a further refresh.

Now the loop sleeps only the remainder of the frame budget, with a 1 ms floor so plugin threads still get the GIL.

2. SwapOnVSync held the GIL while blocking

The rgbmatrix binding declares it without nogil (unlike SetPixel, Clear and Fill immediately above it in cppinc.pxd), so the render thread held the GIL for the entire vsync wait — most of every frame. Background threads were starved into long uninterruptible bursts; a 1.5 MB API response costs ~17 ms to parse and ~18 ms to re-encode for the cache, and json.raw_decode cannot be preempted mid-document. Those bursts are what the render loop then waited on.

Fixed by rebuilding the binding: scripts/build_rgbmatrix_nogil.sh.

3. Sub-pixel blending was wrong for this display

Enabling it made things worse, not better — see the rule at the top. It is off by default everywhere. Vegas mode used to opt in; it now scrolls in whole pixels locked to the refresh like the plugin tickers, and keeps the blend only behind display.vegas_scroll.sub_pixel_blend (default false). The blend is also why text looked anti-aliased in the web preview while the panel shimmered.

4. Frame-based stepping raced the vsync clock

Frame-based mode gated motion on a wall clock at 1/scroll_delay steps per second. Plugins set scroll_delay to the frame period, which puts that comparison exactly on its own threshold: a frame arriving a hair early moved zero pixels and rendered an identical frame, which dirty-tracking skipped, so it returned in ~2 ms and the beat repeated. No scroll_delay value tunes this out — a shorter delay just trades stalled frames for periodic double-steps.

A crisp speed configured through scroll_config no longer consults a clock at all. Once SwapOnVSync blocks until the panel has taken the frame, the frame count is a truer clock than time.time(), so the helper advances a fixed whole number of pixels per presented frame (set_pixels_per_frame) and the display manager holds each frame for frame_hold refreshes. Every frame moves the eye by the same amount.

The time-based path remains only for callers that set a speed directly or pass snap_to_crisp=False. There, frame-based mode no longer steps either: it advances by elapsed time at scroll_speed / scroll_delay px/s.

Diagnosing a juddery scroller

To check a whole rig rather than one scroller, soak it -- see Soaking a rig below.

An average will lie to you. A 2 ms duplicate frame and a 21 ms double-wait mean exactly 10 ms, so a ticker stalling on half its frames still averages to a healthy 100 fps. The stats line reports the tail for that reason — read the percentiles, not the fps.

Every scroller emits one line every 5 seconds covering every frame in that window, tagged with the plugin it came from:

journalctl -u ledmatrix --since "-10min" --no-pager | grep "Scroll frame stats"

[Plugin: news] Scroll frame stats - 100.0 fps over 501 frames | median 10.00ms
p95 10.11ms max 12.03ms min 7.98ms | stalls 0 (0.0%) skips 0 (0.0%)

Reading it, on a 100 Hz panel:

A healthy median is the refresh period times the scroll's frame hold: 10 ms for a hold of 1 (100 px/s), 20 ms for 50 px/s (hold 2), 30 ms for 33.3 px/s. A 20 ms median on a 50 px/s scroll is the hold doing its job, not missed refreshes. The Scroll configured: log line gives the hold (1px every 2 refreshes).

you see	it means
median = refresh period × hold, p95 within ~0.5 ms of it	healthy — locked to the panel
p95 or max a whole refresh period or more above that median	frames missing refreshes — per-frame work is overrunning, or a background thread is holding the GIL
non-zero skips, or a median below the expected one	duplicate frames — the swap was skipped because the image did not change, so the frame never waited on vsync. The scroller is advancing less than one pixel per frame, which a crisp fixed-step scroll never does; look for a plugin pacing off time or not passing the hold.
non-zero stalls	frames past 1.5× the median, which is the measure of judder that survives averaging

stalls and skips are both counted against that window's own median, so they stay meaningful on a panel running at any refresh rate.

To rank every scroller at once rather than reading lines one at a time:

journalctl -u ledmatrix --since "-3h" --no-pager | grep "Scroll frame stats" \
  | sed -E 's/.*- (\S+) - (\[Plugin: [^]]+\] )?Scroll.*median ([0-9.]+)ms p95 ([0-9.]+)ms.*/\1 \3 \4/' \
  | awk '$2 < 1000 {n[$1]++; m[$1]+=$2; p[$1]+=$3} END {for (k in n)
        printf "%-28s %5d windows  median %6.2fms  p95 %6.2fms\n", k, n[k], m[k]/n[k], p[k]/n[k]}' \
  | sort -k7 -rn

The $2 < 1000 guard drops windows whose median is a whole second or more. Those are not frames. Until the idle-gap fix in log_frame_rate(), the first frame of every scroll was timed against the end of the previous scroll, so the gap between them was recorded as one enormous sample — it landed in the max field of otherwise healthy windows and counted as one stall per scroll, roughly 0.2% at 500 frames to a window, which is the same order as the real stall rates it sat beside. Current builds emit none, but the guard costs nothing and keeps the command honest against older journals.

A scroller whose p95 sits several times its median is the one to fix, and it is usually the one doing the most per-frame work rather than the one configured worst. Measured over 20 minutes with two scrollers set identically at 100 px/s, the leaderboard held 10 ms flat while the odds ticker spent ~20% of its frames on duplicates. Same settings, different render cost: odds does more per-frame work, and more variably, so it is first to land a frame that advances less than a whole pixel. Check the render path before the config.

Then confirm what the plugin actually loaded — config edits do not always reach the running code:

journalctl -u ledmatrix --since "-5min" --no-pager | grep -iE "px/s|px/frame"

If a plugin logs its scroll config twice with different modes, the second line is what is running.

Soaking a rig

The per-scroller lines above tell you which scroller misbehaves. The soak answers the question a release has to answer for each rig: over a long run, how often did a moving frame reach the panel late?

Every frame reaches the panel through DisplayManager.update_display, so it is timed there once, whoever drew it -- Vegas, a ticker plugin, anything. The render thread only appends a tuple; a worker thread aggregates and rewrites /dev/shm/ledmatrix_frame_stats.json every 10 seconds (RAM, so no SD-card wear). src/common/frame_timing.py has the details.

python3 scripts/frame_soak.py                 # 10 minutes, as the display is now
python3 scripts/frame_soak.py --preview       # with the web preview open
python3 scripts/frame_soak.py --show          # totals since the service started
python3 scripts/frame_soak.py --json a.json   # keep the report to compare later

It runs as any user next to the display service and stops nothing. It needs something to scroll during the run: a live game holding a static scoreboard on screen gives no verdict. --preview keeps the web preview's viewer marker fresh, which puts the preview's PNG encoding at full rate -- run it as the web service's user.

line	what it tells you
Late frames	Frames presented one or more refreshes after they were due: the panel showed the previous frame again, a visible hitch. The pass/fail number, 0.1% by default (--max-late-pct). Only intervals between two scrolling frames count, and a frame held for frame_hold refreshes is due frame_hold refreshes after the last.
Freezes	Gaps of 250 ms or more inside a scroll: recomposes, plugin handovers, blocking calls on the render thread. Reported but not failed on, because some are handovers between plugins rather than faults. A gap still counts when the display's scroll state went missing for one frame across it, as long as scrolling resumes within 1 s: both of that frame's intervals count. Two static frames in a row end the scroll. (The state expires after 2 s without scroll activity, and plugins can clear it from their own display().) The late and early rates are over frames judged against a known refresh period, which the recorder adopts once two windows in a row agree on it.
blit	Copying the frame into the matrix canvas (SetImage). It grows with width × height × pwm_bits: ~5.5 ms at 512×64 with 8 bits on a Pi 4. It is the biggest fixed cost, and it sets the refresh rates a rig can hold one pixel per refresh at.
wait	Time blocked in SwapOnVSync, i.e. the slack left in each refresh. A p50 near zero means the rig has no headroom and anything extra lands a frame late.
work	Everything else between two frames: drawing, scrolling, and waiting for the GIL. A wide gap between its p50 and p99 is another thread getting in the way.
Binding	STOCK means the rgbmatrix binding holds the GIL through the vsync wait, which starves every other thread. See Rebuilding the binding.

The refresh rate is estimated from the frames themselves (swaps that block on vsync can only land on refresh boundaries). Cross-check it with scroll_speeds.py --measure if it looks wrong. It can read high on a rig where nothing ever presented at the full refresh rate.

A soak is only meaningful against a fixed workload. Compare runs with the same content and --preview setting, and alternate which build goes first when you A/B two of them. A live-API workload drifts over time.

The soak says how often; the service's log says why. A scroll that presents no frame for 250 ms logs Render stall: with the stack of the render thread and the top of every other thread's, and whether the whole interpreter was blocked (C code holding the GIL) rather than one thread. To see what is behind the shorter hitches, run the service with LEDMATRIX_STALL_WATCHDOG_MS=30, which dumps at three refreshes late instead: its extra polling costs a little GIL time of its own, so do that on a diagnostic run, not a soak you are grading. LEDMATRIX_STALL_WATCHDOG=0 turns it off.

Results: hdpi, 2026-09-24

Pi 4, 4×128×64 on one chain (512×64), gpio_slowdown 3, cap 120 Hz, the GIL-releasing binding. Vegas mode with live content, 8-minute soaks with --preview, run in the order shown so each build went both first and last.

run	build	pacing	pwm_bits	refresh	late	1	2	3–5	6+	freezes
1	main	time-based, blended, 90 px/s	8	94.5 Hz	6.33%	2,542	74	19	4	0
2	#628	1 px / refresh	8	100.2 Hz	0.66%	238	32	30	5	2
3	#628	1 px / refresh	8	100.3 Hz	0.70%	252	38	26	6	2
4	main	time-based, blended, 90 px/s	8	94.5 Hz	6.46%	2,659	90	10	4	0
5	#628	1 px / 2 refreshes (53 px/s)	7	107.2 Hz	0.32%	68	7	4	2	1

• Blending cost the panel refresh rate as well as frames: 94.5 Hz against ~100 Hz for the same hardware under whole-pixel pacing.
• The freezes and the 3+ rows in the #628 runs line up with canvas-bound plugins fetched on the render thread (drain_deferred): news took ~320 ms and hockey-scoreboard ~660 ms there. Moving those fetches off the render thread is proposed separately (offscreen rendering).
• Run 5 changed two things at once: the speed, and pwm_bits (changed on the rig between runs). Its lower late rate cannot be credited to either alone.
• These soaks were taken before the recorder counted 1–2 s stalls as freezes, so a stall of that length would be missing from these rows.

Without the service: render_bench.py

The soak measures the service as it really runs: live content, plugin updates, the web preview. scripts/render_bench.py answers the narrower question underneath: with nothing else in the way, can this hardware present every frame on time? It scrolls a synthetic strip through the production path -- a real DisplayManager, a real ScrollHelper, the same scroll_config resolver every ticker uses -- on content that is identical every run, which makes it the tool for comparing rigs (a Pi 3 against a Pi 4, one HAT against another) and for A/B testing a change to the render path.

sudo systemctl stop ledmatrix          # the service owns the GPIO

sudo python3 scripts/render_bench.py                 # 60s at one pixel per refresh
sudo python3 scripts/render_bench.py --seconds 600   # the shipping gate
sudo python3 scripts/render_bench.py --speed 50      # a held (frame_hold 2) speed
sudo python3 scripts/render_bench.py --busy 2        # with threads imitating plugin updates
sudo python3 scripts/render_bench.py --json /tmp/pi4-512x64.json

sudo systemctl start ledmatrix

It never starts or stops the service itself, so a crash in it cannot leave the panel dark. It grades with the same recorder as the soak and prints the same report, with the same exit status, except that 2 also means the run could not be set up at all (no root, no panel, a fallback display), so a rig that was never measured cannot pass by accident.

Two differences from the soak matter:

• It measures the panel first. Before scrolling it times bare swaps for a few seconds to get the idle refresh rate, and seeds the recorder with it. That is what catches a loop that never locked to the panel at all. The first version of the bench announced its scrolling state once instead of every frame; the state expired, the dirty-tracking skip fired mid-scroll, and the loop free-ran at 827 fps. Graded against its own frames that looks perfectly steady; graded against the panel's measured rate every frame is early, and the run fails as NOT LOCKED. (The soak has no idle measurement, so it checks the rate against limit_refresh_rate_hz instead: a "refresh" faster than the cap cannot have been waiting for the panel.)
• The stall watchdog prints to the terminal. A frame held up for more than 250 ms prints the stack of what held it up, in the middle of the run.

Measured with the first version of the bench on hdpi (Pi 4, 512x64, pwm_bits 8), two-minute runs at one pixel per refresh: 8 of 11,449 frames late (0.070%), and with --busy 2 3 of 11,445 (0.026%). The render path and the hardware pass on their own. Compare the soak results above, from the same rig with the service running, for how much of the late rate comes from everything else.

The panel is slower while you are rendering into it

The bench prints two refresh rates, and they differ:

	Pi 4, 512x64, pwm_bits 8
idle, timing bare swaps	100.4 Hz
while scrolling	96.3 Hz

Both are real. Driving an LED matrix is bit-banging on the same machine, so SetImage over a 512x64 chain contends with the refresh itself and slows it. The recorder therefore reads the rendering rate back from the frames: swaps that block on vsync can only return on a refresh boundary, so the low end of interval / frame_hold is the period. The idle figure is still printed, because the gap between the two is itself a measure of how expensive a frame is: a rise in that gap is a render-cost regression even when nothing is late.

The practical consequence for config: set limit_refresh_rate_hz near the rate the panel holds while rendering, not the idle rate and certainly not a cap it can never reach. A cap well above the real rate makes scroll_config solve speeds against a refresh that does not exist, which is where "3px every 4 refreshes" comes from.

Bench-only counters

line	meaning
duplicate	frames that advanced no pixels. A crisp fixed-step scroll should show none; any at all means the loop is presenting faster than the strip is moving.
blank	frames with no visible slice to draw: the helper had no content. Should be zero.
restarts	how many times the strip was scrolled through end to end. Informational: the bench restarts the strip where a plugin would hand over to the next one.

--json writes the full report plus the panel geometry, the solved speed and these counters, so two rigs (or one rig before and after a change) can be compared without re-reading a terminal.

---

A tear across the middle on fast scrolls

Symptom: while text scrolls, the top and bottom halves of the panel look shifted sideways against each other along a horizontal line at mid-height, and the shift grows with scroll speed. It shows most in Vegas mode at high speed.

It is the panel's scan, not the software. The measured panel, like most 64-row panels, is multiplexed 1:32 (some panels of the same size scan differently, so check yours): it lights two rows at a time, one from each half (row 0 with row 32, row 1 with row 33, …), stepping down both halves together once per refresh. So row 31, the last row of the top half, lights almost a whole refresh period after row 32 right below it. Your eye follows moving text, and moving content that lights at different times lands in different places, so the two rows meet with an offset of roughly

offset ≈ scroll speed × refresh period

Each frame already reaches the panel whole (SwapOnVSync swaps complete frames between refreshes), so there is nothing to fix in the render path; the shift is created inside a single refresh. Other panel heights show it too, at the point where their two scan halves meet.

On the 2×128×64 chain above, which refreshes at about 130 Hz flat out (7.7 ms per pass):

scroll speed	offset at the midline
50 px/s (Vegas default)	~0.4 px
100 px/s	~0.8 px
150 px/s	~1.2 px, plainly visible

What changes it

Only a shorter scan period (a faster refresh) or a slower scroll. Measure what the panel actually achieves first. The library prints the rate with a carriage return and no newline, so read it from the raw journal:

# set display.hardware.show_refresh_rate to true (web UI, Display tab), restart, then:
journalctl -u ledmatrix --since "-1min" --no-pager -o cat --all | grep -a -oE "[0-9.]+Hz" | tail -5

Turn it off again afterwards. Measured on that panel (Pi 4, single chain), changing one setting at a time from pwm_bits: 7, gpio_slowdown: 3:

change	refresh, uncapped	notes
none	~130 Hz	the ceiling for this wiring
pwm_bits: 6	~138 Hz	barely faster, and half the colour depth
gpio_slowdown: 2	~130 Hz	no faster, and visible glitching; keep 3
limit_refresh_rate_hz: 0	~130 Hz	Vegas dropped from 100 to 72–95 fps as the refresh thread took more CPU

None of these helps much, because the time goes into shifting each row's pixels out: a 2×128 chain pushes 256 pixels per row down one output. What does help is fewer pixels per output. On a bonnet with more than one output (the regular and classic mappings have 3; adafruit-hat has 1), put each panel on its own output and set parallel to the number of outputs used and chain_length to the panels per output, for example parallel: 2, chain_length: 1 for two panels. Each refresh then shifts half the data, which should roughly double the refresh rate and halve the offset. That is a cable change, so measure again afterwards.

Short of rewiring, keep fast scrolls moderate: at the default 50 px/s the offset is under half a pixel.

Rebuilding the binding

bash scripts/build_rgbmatrix_nogil.sh              # build into a scratch dir
sudo bash scripts/build_rgbmatrix_nogil.sh --install
sudo bash scripts/build_rgbmatrix_nogil.sh --rollback

The build never touches the installed module. --install backs up the original to ~/rgbmatrix-core.so.ORIGINAL first, and rolls back automatically if the service does not come back healthy. Requires build-essential; Cython is installed into a cached venv under ~/.cache/ledmatrix-cython.

Re-run it after upgrading rpi-rgb-led-matrix, since a library upgrade replaces the patched binding.

Faster JSON

src/cache/disk_cache.py uses orjson when it is importable and falls back to the stdlib otherwise, so it is optional:

sudo pip3 install --break-system-packages orjson

Encoding is where it pays — about 7× on this hardware. Decoding gains far less (~1.3× on large payloads) because the cost there is building Python objects, not scanning text. That is also why moving parsing to a subprocess does not help: pickle.loads of the same payload costs 8.1 ms against json.loads at 10.9 ms, so the work just moves rather than disappearing.