From 9665df975ca4d54683b5ba8acba712ab27efd930 Mon Sep 17 00:00:00 2001 From: kferjaoui Date: Wed, 26 Aug 2026 14:38:23 +0200 Subject: [PATCH] docs: detail opt2, op3 and opt5->opt6 explanaitons --- docs/ClusterFinderCUDA_benchmark_results.md | 85 +- ...da_fused.pptx => cf_cuda_performance.pptx} | Bin 10612352 -> 10675698 bytes docs/deck/CHANGELOG_2026-08-25.md | 96 + docs/deck/README.md | 96 + ...used_deck.py => build_performance_deck.py} | 275 ++- docs/deck/make_figs.py | 104 +- docs/deck/make_figs_kernel.py | 2 +- docs/figures/fig_overlap.png | Bin 69592 -> 71077 bytes docs/figures/fig_overlap_9x9.png | Bin 0 -> 53108 bytes docs/figures/fig_resultpath.png | Bin 91402 -> 91578 bytes python/tests/ClusterFinderCUDA_perf.ipynb | 2141 ++++++++--------- .../tests/ClusterFinderFrozen_vs_CUDA.ipynb | 617 ++--- python/tests/perf/kernel_resources.py | 2 +- 13 files changed, 1883 insertions(+), 1535 deletions(-) rename docs/{cf_cuda_fused.pptx => cf_cuda_performance.pptx} (96%) create mode 100644 docs/deck/README.md rename docs/deck/{build_fused_deck.py => build_performance_deck.py} (91%) create mode 100644 docs/figures/fig_overlap_9x9.png diff --git a/docs/ClusterFinderCUDA_benchmark_results.md b/docs/ClusterFinderCUDA_benchmark_results.md index 58e884d5..0adf7073 100644 --- a/docs/ClusterFinderCUDA_benchmark_results.md +++ b/docs/ClusterFinderCUDA_benchmark_results.md @@ -76,7 +76,7 @@ actually sustained. Companion documents: - `docs/pedestal_precision_f32_cancellation.md` — why the naive f32 pedestal failed and how B1 fixes it -- `docs/cf_cuda_fused.pptx` — the deck these numbers feed, built by `docs/deck/build_fused_deck.py` +- `docs/cf_cuda_performance.pptx` — the deck these numbers feed, built by `docs/deck/build_performance_deck.py` --- @@ -733,12 +733,25 @@ internal chunking, which is how the ladder reproduces opt3/opt4 on the current c ### 8.2 What opt5 does *not* fix — the diagnosis that motivates opt6 ★ -At 9×9, opt5 lands at **66.39 µs against a 30.01 µs peak**. The pipelined loop runs at -`max(GPU, host)` by construction, so this is arithmetic, not inference: +At 9×9, opt5 lands at **66.39 µs against a 30.01 µs peak**: > **The GPU delivers a frame every 30.01 µs and the system delivers one every 66.39. The -> entire ~36 µs/frame gap is host-side, and overlap cannot hide it because the host term -> is the larger one.** +> ~36 µs/frame gap is host-side, and overlap cannot hide it because the host term is the +> larger one.** + +Two caveats on that sentence, both of which matter and neither of which changes it. + +**It is inference, not arithmetic.** Reading the host term straight off the end-to-end +time assumes the pipelined loop attains `max(GPU, host)` exactly. That is the design, but +it is not measured here, and if overlap were imperfect the host term could be smaller +with the balance being un-overlapped GPU. The independent support is opt6: same loop, +same two slots, and it lands on **30.01 µs — 100 % of the floor** (§9), which is +`max(GPU, host)` attained exactly. The machinery demonstrably works when the host term is +small. + +**66.39 µs is not a plateau value.** It is the best of five reps, and it still carries +**151 601 minor faults**. opt5 at 9×9 is the one row in the ladder that never reaches a +fault-free steady state — see §8.3. The host path is `collect()`'s materialization loop ([`materialize_slot`, `ClusterFinderCUDA.hpp:137`](../include/aare/ClusterFinderCUDA.hpp#L137)): @@ -751,6 +764,47 @@ despite the far larger absolute gap: pipelining hides `min(GPU, host)`, so it pa when the two terms are comparable. At 9×9 the host term is twice the GPU term, and hiding the GPU underneath it recovers only the GPU's share. + +### 8.3 opt5 at 9×9 never reaches a plateau — and what the host term actually is ★ + +Every other row in this document is quoted at steady state. This one cannot be. From +`ladder_9x9.csv` in `2026-08-20_f64_cap1700/`, with the §25 rate of **0.68 µs per +first-touch fault** applied out of sample: + +| rep | µs/frame | minor faults | fault cost | fault-free | +|--:|--:|--:|--:|--:| +| 0 | 78.56 | 460 283 | 15.65 | 62.91 | +| **1** | **66.39** | **151 601** | **5.15** | **61.23** | +| 2 | 67.34 | 95 884 | 3.26 | 64.08 | +| 3 | 81.26 | 506 241 | 17.21 | 64.04 | +| 4 | 73.97 | 334 303 | 11.37 | 62.60 | + +The fault count does not converge — 460 k → 152 k → 96 k → 506 k → 334 k — because each +rep meets a different allocator state for the 467 kB per-frame block. Contrast opt6 in the +same file: **2 072, 0, 0, 0, 0**. And contrast opt5 at **3×3**, which is clean (30–96 k +faults ≈ 0.2–0.65 µs/frame, 1.6 % spread). The contamination is specific to this one cell +of the matrix, and its cause is exactly the allocation opt6 deletes. + +**The host term is ~62 µs, not ~40.** Two independent routes agree: + +1. **Fault correction.** Subtracting the fault term collapses a **22 % raw spread into + 4.6 %**, at 61–64 µs. A rate fitted at 3×3 and applied unchanged here should not be + able to do that unless it is describing the real mechanism. +2. **A rep that was already warm.** In the f32 arm, rep 3 happened to run with only + **10 128 faults** (0.34 µs/frame) and measured **61.85 µs** with no correction at all — + inside the corrected f64 band. + +Annex A4's `opt5` row already contained this pair (`66.39 (152 k)` vs `61.85 (10 k)`, +verdict *not separable*); §8.3 is what it implies for the host term. + +**Consequence.** Any figure drawing the 9×9 host cost at 40 µs understates it by about +half. The conclusion is unaffected — the host is the taller bar either way — but the +margin is roughly 2× the GPU floor, not 1.3×. + +**Reproducing it.** Timing this row honestly needs a fresh process per rep and a +pre-touched result heap; without both, the number that comes out is an allocator state, +not a throughput. + **Fault-fairness warning.** Freeing a ~10 GB result heap hands it back to the allocator and a subsequent loop reuses it, so on a cold heap the first loop pays the entire first-touch tax and any printed ratio is meaningless. Both loops must be at plateau; drop @@ -804,14 +858,21 @@ since the sustained rate is the lower of the two. The win from `collect_view()` is `max(0, host_copy − gpu_floor)` plus the allocation it avoids: -| | bytes copied per frame by `collect()` | ≈ copy time | GPU floor | copy fits underneath? | -|---|--:|--:|--:|:--:| -| 3×3 | 2 324 × 40 B ≈ 93 kB | ~8 µs | 16.17 µs | **yes** → small win (×1.16) | -| 9×9 | 1 422 × 328 B ≈ 467 kB | ~40 µs | 30.01 µs | **no** → large win (**×2.21**) | +| | bytes copied per frame by `collect()` | memcpy at bandwidth | **host term** | GPU floor | fits underneath? | +|---|--:|--:|--:|--:|:--:| +| 3×3 | 2 330.9 × 40 B ≈ 93 kB | ~8 µs | ~9.8 µs | 16.17 µs | **yes** → small win (×1.16) | +| 9×9 | 1 422.4 × 328 B ≈ 467 kB | ~40 µs | **~62 µs** | 30.01 µs | **no** → large win (**×2.21**) | + +**The two middle columns are not the same quantity, and conflating them understates the +9×9 case by about half.** "memcpy at bandwidth" is 467 kB divided by a single-threaded +copy rate — it is what the loop would cost if it were bandwidth-bound. It is not: +[`ClusterFinderCUDA.hpp:130-136`](../include/aare/ClusterFinderCUDA.hpp#L130-L136) records +that the work is *one 467 kB malloc + first-touch per frame, allocation-bound rather than +bandwidth-bound*. The host-term column is the steady-state figure derived in §8.3. At 3×3 the copy hides under the GPU and opt5 already absorbs it, so what opt6 removes is -the per-frame allocation and the fault floor — second-order. At 9×9 the copy is 1.5× the -GPU time and cannot hide at any amount of overlap. **This is the same "tallest bar" logic +the per-frame allocation and the fault floor — second-order. At 9×9 the host term is +**twice** the GPU time and cannot hide at any amount of overlap. **This is the same "tallest bar" logic as §4, applied to the host instead of the device.** ### Reproducibility is the other half of the claim @@ -1306,7 +1367,7 @@ opt1/opt2 stop over-counting extended charge-shared events: | exploratory notebook | `python/tests/ClusterFinderCUDA_perf.ipynb` | **stores only the last run** — not a record. Archive a copy per cluster size if used | | correctness notebook | `python/tests/ClusterFinderFrozen_vs_CUDA.ipynb` | CPU↔CUDA agreement analysis | | precision study | `docs/pedestal_precision_f32_cancellation.md` | B1 derivation | -| deck | `docs/cf_cuda_fused.pptx` + `docs/deck/build_fused_deck.py` | 34 slides in the same three acts plus a 15-slide annex (A1–A5); figures from `docs/deck/make_figs.py`. The `.pptx` is untracked — rebuild it from the script | +| deck | `docs/cf_cuda_performance.pptx` + `docs/deck/build_performance_deck.py` | 35 slides in the same three acts plus a 6-group annex (A1–A6), 53 pages with dividers; figures from `docs/deck/make_figs.py` and `make_figs_kernel.py`. 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They now read as three kinds without being read: | code panel | framed, lighter fill, rounded | source | | callout | flat panel, coloured left spine | conclusion | | caption | none | provenance | + +--- + +## §9 — Permanent names + +`fused` described how the deck was assembled (two decks merged, once, in +August 2026); `eng_slides` was a placeholder. Neither says what the file *is*, +which is what a name has to do a year from now. Renamed on both sides: + +| was | now | what it is | +|---|---|---| +| `cf_cuda_fused.pptx` | **`cf_cuda_performance.pptx`** | the talk: kernel design, hardware limits, the seven steps | +| `cf_cuda_eng_slides.pptx` | **`cf_cuda_internals.pptx`** | the engineering addendum: contracts, ownership, API structure | +| `build_fused_deck.py` | **`build_performance_deck.py`** | | +| `build_eng_slides.py` | **`build_internals_deck.py`** | | + +Both names are audience-neutral and describe content rather than construction or +readership, so neither has to change if the audience split changes. The +`cf_cuda_` family prefix is kept, and `cf_cuda_kernel.pptx` is untouched — it is +the PSI base deck that donates the theme, not an output. + +References updated in `make_figs.py` (including the `_placements()` parse path, +which reads the deck script to keep the legibility gate in sync with the layout — +verified still resolving after the rename), `make_figs_kernel.py`, +`build_internals_deck.py` (its `SRC` path and the exec marker), the report +(§0 and the artefact table) and `python/tests/perf/kernel_resources.py`. + +The earlier dated changelogs keep the old names on purpose: they record what the +files were called on those dates. + +--- + +## §10 — opt3's other barrier, and the 9×9 bridge (33 → 35 slides) + +Two slides inserted, which shifted every later number: 31 `chrome()` indices, 7 +`section()` ranges with their item lists, and 23 prose cross-references were +remapped (`n ≤ 14 → n`, `15–16 → n+1`, `≥ 17 → n+2`). + +**New 15 — "One D2H per frame, not two".** opt3's title has always read "remove +the sync barriers", plural, but the deck told only one of them: the per-round +`cudaDeviceSynchronize`. The count-then-fetch round trip went at the same step and +appeared nowhere. Two step-flows carry it — `kernel › copy 4 B › BLOCK › read +count › copy N B › BLOCK` against `kernel › copy the whole envelope › next frame` +— because the argument is a shape, not a listing. No table, no code panel: the +point is that a transfer whose length depends on the transfer before it cannot be +streamed, and that opt3 pays ~20 % more bytes to delete that edge. + +**17 (opt5) is now 3×3 only.** It quoted ×1.31 in its title while its figure drew +3×3 proportions and its rail carried both geometries. `fig_overlap` is labelled +`3×3`, the rail keeps one column, and the freed space holds the six-line +submit/collect loop with the point that matters to an engineer: a synchronous call +became two calls and a token, and `find_clusters_batched()` wraps both so callers +who want one call keep one call. + +**New 18 — "Overlap runs out: the host is the taller bar".** The bridge into opt6, +and the answer to the question the room reliably asks. `fig_overlap_9x9` draws the +pipeline twice at measured proportions (GPU 30.01, host ~62) — once with two slots +and once with three — and lands both on the same finish line, because the host lane +is already back-to-back in both. A deeper buffer relocates GPU idle; it cannot +close it. + +## §11 — the 9×9 host term was understated by half + +`fig_resultpath` drew the 9×9 host bar at **40 µs**. That figure was 467 kB divided +by a single-threaded copy rate — what the loop would cost if it were +bandwidth-bound. `ClusterFinderCUDA.hpp:130-136` says it is not: *one 467 kB malloc ++ first-touch per frame, allocation-bound rather than bandwidth-bound*. + +Checking the raw measurement settled it. opt5 at 9×9 is the **one row in the ladder +that never reaches a fault-free plateau** — faults across five reps run +460 k → 152 k → 96 k → 506 k → 334 k with no convergence, against opt6's +2 072, 0, 0, 0, 0 in the same file, and against a clean opt5 at 3×3. Even the +quoted 66.39 µs carries 151 601 minor faults. + +Correcting each rep at the deck's own 0.68 µs/fault collapses a **22 % spread into +4.6 %**, at 61–64 µs. Independently, f32 rep 3 happened to run with 10 128 faults +and measured **61.85 µs** directly. So the host term is **~62 µs**, and the bar is +now drawn there. The ×2.21 conclusion is measured and unchanged; what changes is +that the picture explaining it no longer understates its own case. + +Report: §8.2 gained the two caveats (the host term is inference, not arithmetic; +66.39 is not a plateau), §8.3 is new and documents the fault data, and §12's +payload table now separates "memcpy at bandwidth" from "host term" instead of +printing one under the other's name. + +## §12 — housekeeping + +- `docs/deck/README.md` is new: how to build, the two mechanical invariants + (9 pt legibility, nothing past the footer) and why each exists, the numbering + hazard, and where the numbers come from. +- The overflow checker had a hardcoded input path and ignored `argv`, so it had + been validating a stale PDF. Fixed, and every check in this session's later + passes was re-run against it. +- `build_internals_deck.py` and `cf_cuda_internals.pptx` deleted: the four + engineering slides they held are now folded into the single deck, in the arc, + which is what "one deck with a bit more detail" means. diff --git a/docs/deck/README.md b/docs/deck/README.md new file mode 100644 index 00000000..087561ef --- /dev/null +++ b/docs/deck/README.md @@ -0,0 +1,96 @@ +# The CUDA ClusterFinder deck + +`docs/cf_cuda_performance.pptx` — kernel design, hardware limits, and the opt1→opt7 +optimization ladder, told in three acts ordered by which bar is tallest. + +35 numbered slides plus a 6-group annex, 53 pages once dividers and the title page +are counted. + +## Build + +```bash +python docs/deck/make_figs.py # figures -> docs/figures/*.png +python docs/deck/make_figs_kernel.py # 3 more (fig_frame, fig_occupancy, fig_tile) +python docs/deck/build_performance_deck.py +``` + +Order matters: the deck embeds the PNGs, so regenerate figures first if you touched +either `make_figs*.py`. Running only the builder is fine when you have changed slide +text or layout alone. + +Requires `python-pptx`, `matplotlib`, `pillow`, `lxml`. On this machine the only +interpreter with all four is `/home/ferjao_k/.conda/envs/py/bin/python` — the system +`python` is absent, `python3` is too old, and `python3.11` has no matplotlib. + +`docs/cf_cuda_kernel.pptx` is an **input**, not an output: it donates the PSI theme and +the title slide, and every other slide of it is deleted at build time. Do not edit the +generated `.pptx` by hand — it is overwritten on every build. Edit the script. + +## Layout guarantees, and how they are enforced + +Two invariants are checked mechanically, because both fail silently otherwise. + +**Nothing renders below 9 pt on the projected slide.** A figure's on-screen type size +is `raw_pt × (placement_width / figure_width)`, and neither factor is visible at the +point where the font size is written. `make_figs.py` closes that loop: `_placements()` +parses the placement width of every figure **out of the deck script itself**, so the +gate cannot drift from the layout it checks. Every run ends with either + +``` +legibility: every string in every figure renders at >= 9.0 pt on the slide. +``` + +or a list of offenders. Fix them; do not raise the floor. 9 pt on a 13.33 × 7.5 in +slide is about 1/60 of slide height, which is the conventional bound for readable +supporting detail at 6–7 m. + +Note the feedback trap: `savefig(bbox_inches="tight")` grows the saved canvas to fit a +long in-figure caption, which shrinks the placement scale, which shrinks the caption. +Raising the font size can make text *smaller*. Shorten the string or re-lay the axes. + +**No text runs past the footer line.** Convert and check: + +```bash +libreoffice --headless --convert-to pdf --outdir /tmp/deck docs/cf_cuda_performance.pptx +python scratch/overflow.py /tmp/deck/cf_cuda_performance.pdf +``` + +Only page 1 may be flagged — that is the PSI template's own title slide. The same +script counts unrendered `**` markup, which is the usual symptom of putting markup in a +helper that does not parse it: `bullets`, `callout`, `table` and `code` understand +`**bold**`; `caption` does not, and nothing understands backticks or `*italics*`. + +## Numbering + +Slide indices are explicit — `chrome(s, 17, …)` — and so are the section ranges and the +prose cross-references ("expands slide 27"). **Inserting a slide shifts all three.** As +of this writing that is 31 `chrome()` calls, 7 `section(… rng=…)` ranges with their item +lists, and ~23 prose references. Renumber all of them in one pass and rebuild; the +progress track and the `N / 35` counter both read `N_SLIDES`. + +## Where the numbers come from + +`docs/ClusterFinderCUDA_benchmark_results.md`, quotable rows only. Two conventions the +deck depends on, both defined in slide 20: + +- **s1** is one stream — true, exclusive engine durations. +- **s4** is the shipped four-stream pipeline — engine *occupancy*, the union of + intervals per frame. The kernel overlaps itself across streams (9×9 f64 reads 32.66 µs + at s4 against ~43.2 µs per kernel); H2D and D2H do not, because there is one copy + engine per direction. +- **floor** = `1 / max(H2D, kernel, D2H)` at s4, taking the lower of the nsys estimate + and the best rate actually sustained. One quantity, two units: 30.01 µs/frame = + 33 323 FPS. + +One row is not at steady state and is flagged as such on its slide and in §8.3 of the +report: opt5 at 9×9, whose per-frame allocation never lets the fault count converge. + +## Files + +| file | role | +|---|---| +| `build_performance_deck.py` | the deck: tokens, helpers, every slide | +| `make_figs.py` | most figures, plus the legibility gate | +| `make_figs_kernel.py` | `fig_frame`, `fig_occupancy`, `fig_tile` | +| `frame147.json`, `validation_tiers.json` | measured data two figures read | +| `CHANGELOG_2026-08-*.md` | dated records of past revisions; they keep the file names in use on those dates | diff --git a/docs/deck/build_fused_deck.py b/docs/deck/build_performance_deck.py similarity index 91% rename from docs/deck/build_fused_deck.py rename to docs/deck/build_performance_deck.py index 4f30b651..4b5ce7a2 100644 --- a/docs/deck/build_fused_deck.py +++ b/docs/deck/build_performance_deck.py @@ -1,4 +1,4 @@ -"""Build docs/cf_cuda_fused.pptx — the algorithm + kernel + hardware half of +"""Build docs/cf_cuda_performance.pptx — the algorithm + kernel + hardware half of docs/cf_cuda_kernel.pptx fused with the opt1→opt7 optimization story. The ladder is told in three acts, ordered by which bar is tallest: @@ -39,7 +39,7 @@ from PIL import Image DOCS = Path(__file__).resolve().parent.parent FIGS = DOCS / "figures" BASE = DOCS / "cf_cuda_kernel.pptx" # PSI theme + title slide -OUT = DOCS / "cf_cuda_fused.pptx" +OUT = DOCS / "cf_cuda_performance.pptx" # ---------------------------------------------------------------- design tokens BG = RGBColor(0x0B, 0x10, 0x18) @@ -78,7 +78,7 @@ R = "{http://schemas.openxmlformats.org/officeDocument/2006/relationships}" prs = Presentation(str(BASE)) prs.slide_width, prs.slide_height = In(W), In(H) BLANK = prs.slide_layouts[0] # 'Blank Slide' — zero shapes -N_SLIDES = 33 +N_SLIDES = 35 # ------------------------------------------------------------------- helpers @@ -457,8 +457,8 @@ def section(kicker, title, thesis, items, rng, col=ACCENT, carry=None, Deliberately sparse — it exists to buy 10–15 s of stage setting, so it has to be readable at a glance and finished before the audience starts reading ahead. It carries no slide number and takes no tick of its own on the - progress track: slides 3–33 keep the numbers they have, so the annex's - cross-references ("expands slide 25") stay true. What it lights up instead + progress track: slides 3–35 keep the numbers they have, so the annex's + cross-references ("expands slide 27") stay true. What it lights up instead is the *range* the section covers, which is the thing the audience wants. """ s = new_slide() @@ -1011,8 +1011,9 @@ section("Act I of III · feed the GPU", [(12, "opt1 · first port"), (13, "opt2 · streams + batching"), (14, "opt3 · no barriers"), - (15, "opt4 · pinned memory")], - rng=(12, 15), + (15, "opt3 · one D2H, not two"), + (16, "opt4 · pinned memory")], + rng=(12, 16), carry=("Starting from", "6 762 FPS", "24-thread CPU · 14.8 s for 100 000 frames")) @@ -1040,7 +1041,7 @@ callout(s, M, 4.62, COL, "overlap, so the **floor** — the fastest a frame can go if the host cost " "nothing — is **max(H2D, kernel, D2H)**, never the sum. At 3×3 that is " "max(**16.17**, 15.17, 7.69) = **16.2 µs → 61 859 FPS**. Exactly how each of " - "those three is measured is slide 18; it does not change this one.", + "those three is measured is slide 20; it does not change this one.", h=1.00, size=10.5) figure(s, "fig_opt1_timeline", M, 5.80, COL) rail(s, [ @@ -1123,9 +1124,74 @@ caption(s, 8.35, 6.15, 4.25, "not sketched: H2D and D2H are one FIFO engine each, so a stream waits for the " "copy engine, never for another stream's copy to finish overlapping it.") +# ===================================================== 15 · OPT3b · ONE D2H +# opt3's title has always said "barriers", plural, but the deck only ever told +# one of them: the per-round cudaDeviceSynchronize. The count-then-fetch round +# trip went at the same step and was never shown, which made opt2 -> opt3 look +# like a refactor instead of the change of contract it was. +s = new_slide() +chrome(s, 15, "Act I · opt3 · the other barrier", + "One D2H per frame, not two") +bullets(s, M, 1.92, 11.9, [ + "opt2 asked the device **how many clusters**, blocked until the answer came " + "back, then asked for **that many**. The size of the second copy was a " + "function of data that had not arrived yet.", + "opt3 gives every frame a **fixed envelope** — count, then room for **cap** " + "clusters — so the copy's size is known at construction and can be queued " + "with the kernel. The count is still read, but **afterwards**, on the host.", +], size=11) + +flow(s, M, 3.42, 11.9, + ["kernel", "copy 4 B", "BLOCK", "read count", "copy N B", "BLOCK"], h=0.62) +caption(s, M, 4.12, 11.9, + "opt2 · two transfers and two stalls per frame, because the second one " + "cannot be issued until the first has landed.", size=9.5) + +flow(s, M, 4.62, 11.9, + ["kernel", "copy the whole envelope", "→ next frame, host not involved"], h=0.62) +caption(s, M, 5.32, 11.9, + "opt3 · one transfer, no stall. Nothing in the loop waits on a value.", size=9.5) + +callout(s, M, 5.86, 11.9, + "**You cannot stream a transfer whose length depends on the transfer " + "before it.** opt3 pays bytes to delete that dependency: the envelope is " + "sized by the **cap**, not by how many clusters were found, so an empty " + "frame costs the same D2H as a full one — 120 kB at 3×3 against 93 kB of " + "real clusters.", h=0.94, size=10.5) +caption(s, M, 6.94, 11.9, + "Everything downstream needs that fixed layout: opt6 could not hand out a " + "view into a buffer whose shape was not known in advance.", size=9) +notes(s, """The point to say out loud: this is the one step in the ladder that is +not a setting. It changed the kernel signature, the buffer ownership and the +collection loop, and it is why the opt1/opt2 class is frozen in a separate header +(ClusterFinderCUDAOpt2.hpp) rather than being a flag on the current one. + +The dependency edge is the whole argument. In opt2 the second memcpy's SIZE +argument is *sc.h_cluster_count -- host memory that only becomes valid after a +cudaStreamSynchronize (Opt2.hpp:277-294, then :442-446). So the sequence is +forced: kernel, copy 4 bytes, BLOCK, read, copy N bytes, BLOCK. Two of those six +steps are the host doing nothing, every frame. + +opt3 fixes the size once in the constructor (m_output_bytes_per_frame = +m_clusters_offset + cap * sizeof(ClusterType), ClusterFinderCUDA.hpp:440-445), so +the copy is enqueued in the same loop iteration as the kernel launch (:725-728). +The kernel gets two pointers into ONE allocation (:701 and :709). + +What it costs: 120 kB instead of 93 kB per frame at 3x3, 558 instead of 467 at +9x9. Roughly 20 % more bytes on an engine that had spare time, to buy back a +barrier that was stalling everything. That is also why the cap becomes a +throughput knob only from opt3 onward: under opt2 it bounded an allocation, under +opt3 it sets the D2H bar directly (report section 4.2). + +If asked why opt2 did not simply copy a cap-sized buffer and skip the sync: that +IS opt3. It could not be done in opt2 because the clusters lived in their own +device allocation with no count field and no fixed per-frame stride -- there was +no single object to copy. Merging the two buffers is what created one.""") + + # =========================================================== 14 · OPT4 s = new_slide() -chrome(s, 15, "Act I · opt4 · pinned (page-locked) memory", +chrome(s, 16, "Act I · opt4 · pinned (page-locked) memory", "Pinning the input buys DMA-speed H2D: ×1.32") bullets(s, M, 1.95, 12.0, [ "Normal host memory is **pageable**: the OS may move or swap it. A DMA engine " @@ -1162,15 +1228,16 @@ section("Act II of III · get the results back", "The host copy is now the tallest bar", "Frames go in at DMA speed. The results still come back slowly. Still 3×3, " "but 9×9 is where this act pays most.", - [(16, "opt5 · host↔GPU overlap"), - (17, "opt6 · zero-copy")], - rng=(16, 17), col=PALE, + [(17, "opt5 · host↔GPU overlap"), + (18, "9×9 · why overlap runs out"), + (19, "opt6 · zero-copy")], + rng=(17, 19), col=PALE, carry=("Arriving at", "38 486 FPS", "opt4 · 26.0 µs per frame · 62 % of the GPU floor")) # =========================================================== 15 · OPT5 s = new_slide() -chrome(s, 16, "Act II · opt5 · host↔GPU overlap", +chrome(s, 17, "Act II · opt5 · host↔GPU overlap", "Overlapping host and GPU hides min(host, GPU): ×1.31") bullets(s, M, 1.92, COL, [ "opt3 overlapped H2D ∥ kernel ∥ D2H **across streams, inside one batch**, but " @@ -1179,10 +1246,14 @@ bullets(s, M, 1.92, COL, [ "opt5 keeps **one batch in flight while materialising the previous one**: chunk " "i+1 is submitted before chunk i is collected.", ]) -figure(s, "fig_overlap", M - 0.15, 3.28, COL + 0.30) -callout(s, M, 5.86, COL, - "The time hidden is **min(GPU, host)**, so this pays most when the two are " - "comparable, and cannot rescue a host term that is simply larger.") +figure(s, "fig_overlap", M - 0.15, 3.26, COL + 0.30) +code(s, M, 5.88, COL, [ + "tok = cf.«submit_batch»(data[a0:b0], first_frame=a0)", + "for a, b in bounds[1:]:", + " nxt = cf.«submit_batch»(data[a:b], first_frame=a) // GPU starts i+1", + " results.extend(cf.«collect»(tok)) // host unpacks i", + " tok = nxt", +], size=9, title="you never write these: find_clusters_batched() wraps them") notes(s, """opt5 — host<->GPU overlap. Code and chunk sizing are on annex A3. tok = cf.submit_batch(data[a0:b0], first_frame=a0) @@ -1206,21 +1277,81 @@ twice the GPU term, so overlap hides only the smaller one and opt5 is worth x1.20 - which is exactly the diagnosis that motivates opt6: you cannot overlap your way out of a host term that is simply larger. Report SS8.2.""") rail(s, [ - ("label", "opt5 · 3×3 and 9×9 · no CUDA work at all"), + ("label", "opt5 · 3×3 · no CUDA work at all"), ("gap", 0.10), ("stat", "3×3 throughput", "50 410 FPS", PALE), ("row", "per frame · step · of floor", "19.8 µs · ×1.31 · 81 %", ACCENT), - ("gap", 0.14), - ("stat", "9×9 throughput", "15 063 FPS", PALE), - ("row", "per frame · step · of floor", "66.4 µs · ×1.20 · 45 %", AMBER), - ("gap", 0.15), - ("note", "For clusters that must outlive the finder, this is the endpoint at " - "3×3: opt6 lends, it does not give."), + ("gap", 0.16), + ("label", "the whole change"), + ("gap", 0.06), + ("row", "CUDA API calls added", "none", TEXT2), + ("row", "what moved", "the host loop", PALE), + ("gap", 0.16), + ("note", "Told at 3×3, where the host copy is SHORTER than the GPU floor and " + "tucks underneath it. 9×9 is the other case, and it is the next " + "slide. For clusters that must outlive the finder, 3×3 opt5 is the " + "endpoint: opt6 lends, it does not give."), ]) + +# ============================================ 18 · WHY OVERLAP RUNS OUT AT 9x9 +# The bridge from opt5 to opt6. Slide 17 is told at 3x3, where the host copy fits +# underneath the GPU floor and two slots are plainly enough. At 9x9 the host is +# the taller bar and the room reliably guesses "add more slots" -- so the picture +# answers that guess directly, by drawing three slots and landing on the same +# finish line. Once buffering is ruled out, opt6 is the only move left. +s = new_slide() +chrome(s, 18, "Act II · opt5 at 9×9 · why overlap runs out", + "Overlap runs out: the host is the taller bar") +bullets(s, M, 1.84, 11.9, [ + "At 3×3 the host copy is **shorter than the GPU floor** and hides underneath " + "it. At 9×9 it is **roughly twice the floor** — ~62 µs of malloc-and-copy " + "against 30.01 µs of GPU — so overlap still works, it just has less to hide. " + "That is why opt5 is worth **×1.20** here and ×1.31 at 3×3.", +], size=10.5) +figure(s, "fig_overlap_9x9", M + 0.15, 2.52, 11.3) +callout(s, M, 6.30, 11.9, + "A deeper buffer **relocates the GPU's idle, it does not close it** — the " + "host lane is already back-to-back in both strips, so it alone sets the " + "pace. **The only way down is to make the host term smaller.**", + h=0.66, size=10.5) +caption(s, M, 7.06, 11.9, + "Measured proportions: GPU 30.01 µs/frame, host ~62 µs steady-state. " + "Fault correction and the raw 66.4 µs are in the notes and annex A4.", + size=9) +notes(s, """This slide exists because "add more slots" is the reliable guess here, +and it is worth letting the room say it out loud before the second strip goes up. + +The queueing argument, if it is asked for: with producer period G and consumer +period H, an N-buffer pipeline has steady-state period max(G, H) for every N >= 2. +Buffers DECOUPLE two stages; they do not speed up either. Depth beyond 2 only +helps when the periods vary -- it absorbs jitter, at the cost of latency and +pinned memory. Here the work per chunk is near constant, so there is no jitter to +absorb. + +The concrete version lands better: a third slot needs somebody to fill it, and +the only host thread is inside collect(). Adding slots without adding a producer +thread is adding storage to a queue that is not storage-bound. + +"So would a producer thread help?" It would let submit and collect overlap, but +the host term is dominated by malloc + first touch, which is allocator-serialised +anyway. That was measured and reverted (ClusterFinderCUDA.hpp:130-136): 2.27 M +faults at 8 threads against 9.7 k at 1, a 6 % gain at best and a 33 % LOSS when +results are freed promptly. The comment there ends with the right conclusion -- +stop allocating per frame, do not copy faster. That is opt6. + +ON THE 62 US, if challenged. It is not measured directly; no one timed the host +loop. Two independent routes agree on it. (1) Fault-correct the five f64 reps at +0.68 us/fault -- the same rate fitted at 3x3 and applied out of sample -- and a +22 % raw spread collapses to 4.6 %, at 61-64 us. (2) f32 rep 3 happened to run +with only 10 128 faults and measured 61.85 us with no correction at all. The +"~40 us" that used to be on the opt6 slide was the memcpy alone, computed at +bandwidth; the loop is allocation-bound, not bandwidth-bound, so it under-counted +the host term by about half.""") + # =========================================================== 19 · OPT6 s = new_slide() -chrome(s, 17, "Act II · opt6 · zero-copy collection", +chrome(s, 19, "Act II · opt6 · zero-copy collection", "Read the results in place: ×2.21 at 9×9") bullets(s, M, 1.92, COL, [ "The D2H lands in a **pinned host buffer**. collect() then allocates one " @@ -1233,8 +1364,8 @@ bullets(s, M, 1.92, COL, [ figure(s, "fig_resultpath", M - 0.15, 3.05, COL + 0.30) callout(s, M, 5.86, COL, "The win is **max(0, host copy − GPU floor)**: at 3×3 the 8 µs copy hides under " - "a 16.2 µs floor and opt5 had already absorbed most of it; at 9×9 the 40 µs copy " - "is **larger than the floor** and cannot hide at any overlap.", h=0.80, size=10) + "a 16.2 µs floor and opt5 had already absorbed most of it; at 9×9 the ~62 µs " + "host term is **twice the floor** and cannot hide at any overlap.", h=0.80, size=10) caption(s, M, 6.78, COL, "The two bars are the competing costs, not the two steps; the step times are " "on the right.", size=8.5) @@ -1280,11 +1411,11 @@ section("Act III of III · the kernel", "Only now is the kernel the tallest bar", "The story moves to 9×9, where the kernel is finally the tallest bar. First, " "how the engine times in this act are measured.", - [(18, "how the engine times are measured"), - (19, "opt7 · FP32 pedestal"), - (20, "catastrophic cancellation"), - (21, "why it comes last")], - rng=(18, 21), col=AMBER, + [(20, "how the engine times are measured"), + (21, "opt7 · FP32 pedestal"), + (22, "catastrophic cancellation"), + (23, "why it comes last")], + rng=(20, 23), col=AMBER, carry=("Arriving at", "58 495 FPS", "opt6 · 3×3, and 33 323 FPS at 9×9, where this act pays")) @@ -1295,7 +1426,7 @@ section("Act III of III · the kernel", # grid of numbers; this slide keeps only the three definitions and the one # picture that makes the middle one make sense. s = new_slide() -chrome(s, 18, "How the engine times are measured", +chrome(s, 20, "How the engine times are measured", "Two configurations, one floor") cards = [ ("s1", ACCENT, "One stream, nothing else running", @@ -1361,7 +1492,7 @@ the floor is the busiest engine." The rest is in A1.""") # =========================================================== 18 · OPT7 why s = new_slide() -chrome(s, 19, "Act III · opt7 · FP32 device pedestal", +chrome(s, 21, "Act III · opt7 · FP32 device pedestal", "FP32 halves pedestal traffic: −41 % kernel time") bullets(s, M, 1.95, 7.5, [ "**~80 % of pixels** take the **pedestal-update** branch: it reads off, sum and " @@ -1403,7 +1534,7 @@ s1 alone would say the kernel is the thing to optimise and stop there. Right is s4, the shipped four-stream pipeline, and it says something different: the f64 kernel's busy time falls to 32.66 (self-overlap, 1.32x) while every transfer RISES under contention, and once opt7 puts the kernel at 23.94 the D2H -bar at 25.24 is above it. That is the handover slide 21 is about. +bar at 25.24 is above it. That is the handover slide 23 is about. So: -40.5 % is the s1 kernel claim and is the honest headline for what the typedef does to the arithmetic. -26.7 % is the same change measured at s4, where @@ -1423,7 +1554,7 @@ nothing end to end, because at 3x3 H2D is the floor.""") # two-line change that removes it. The error-floor curve and the full rewrite # are annex A5. s = new_slide() -chrome(s, 20, "Act III · opt7 · catastrophic cancellation", +chrome(s, 22, "Act III · opt7 · catastrophic cancellation", "Accumulate what is small, not what is large") bullets(s, M, 1.90, COL, [ (TEXT2, "**The trap.** The variance was computed as **var = E[X²] − mean²**. " @@ -1485,7 +1616,7 @@ change the update's arithmetic cost.""") # =========================================================== 21 · OPT6 when s = new_slide() -chrome(s, 21, "Act III · why this act comes last", +chrome(s, 23, "Act III · why this act comes last", "The saving never grew — the frame around it shrank") figure(s, "fig_f32_absolute", M, 1.95, 11.9) callout(s, M, 4.86, 5.85, @@ -1514,16 +1645,16 @@ caption(s, M, 6.30, 11.9, section("Results · what came out of it", "The whole ladder, and how to use it", "Both cluster sizes end to end, and the audit behind the numbers.", - [("22–23", "Results, both cluster sizes"), - ("24", "Where the time went"), - ("25–26", "What the numbers survived")], - rng=(22, 26), col=PALE, + [("24–25", "Results, both cluster sizes"), + ("26", "Where the time went"), + ("27–28", "What the numbers survived")], + rng=(24, 28), col=PALE, carry=("Arriving at", "58 495 FPS", "opt6 · everything after this is the ladder seen whole")) # =========================================================== 22 · RESULTS s = new_slide() -chrome(s, 22, "Results · 3×3", "×9.1 at 3×3, sitting on the H2D floor") +chrome(s, 24, "Results · 3×3", "×9.1 at 3×3, sitting on the H2D floor") figure(s, "fig_arc", 1.95, 1.88, 9.4) callout(s, M, 5.80, 5.85, "**×9.1 over 24 CPU threads**, 14.8 s → 1.63 s for 100 000 frames, " @@ -1532,7 +1663,7 @@ callout(s, 6.75, 5.80, 5.85, "Every step is **monotonic**, and correctness is held constant **throughout**: " "0.004 % against the CPU baseline; against the CPU twin that isolates the port, " "**exact on the f64 pedestal** and **6 clusters in 23 M** on the shipped f32 " - "(slides 27–30).", h=0.8, color=AMBER) + "(slides 29–32).", h=0.8, color=AMBER) caption(s, M, 6.62, 11.9, "3×3 clusters · nσ = 5 · 100 000 frames · batch 2 000 · 4 streams · 5 reps · " "warm = best of reps 1–4 (collect() does not converge, it oscillates between " @@ -1541,7 +1672,7 @@ caption(s, M, 6.62, 11.9, # =========================================================== 23 · RESULTS 9x9 s = new_slide() -chrome(s, 23, "Results · 9×9", "×26.5 at 9×9, and opt7 hands the floor to D2H") +chrome(s, 25, "Results · 9×9", "×26.5 at 9×9, and opt7 hands the floor to D2H") figure(s, "fig_arc_9x9", 1.95, 1.88, 9.4) callout(s, M, 5.80, 5.85, "**×26.5 over 32 CPU threads**; the kernel is the tallest bar for the whole " @@ -1559,7 +1690,7 @@ caption(s, M, 6.62, 11.9, # =========================================================== 24 · WHERE TIME GOES s = new_slide() -chrome(s, 24, "Where the time actually went", +chrome(s, 26, "Where the time actually went", "The host bar dies first, then the floor itself drops") figure(s, "fig_overhead", 1.95, 1.95, 9.4) callout(s, M, 5.30, 5.85, @@ -1585,7 +1716,7 @@ caption(s, M, 6.45, 11.9, # themselves. The other two are instrument caveats: named here, worked through # in A6. The full three-card version is A6·1. s = new_slide() -chrome(s, 25, "Behind the numbers · the artefact that dominates", +chrome(s, 27, "Behind the numbers · the artefact that dominates", "A GPU benchmark mostly measures the operating system") bullets(s, M, 1.90, COL, [ "Every run that keeps its results materialises **~10 GB of clusters**. The " @@ -1630,7 +1761,7 @@ rail(s, [ # =========================================================== 25 · FIRST RUN s = new_slide() -chrome(s, 26, "Behind the numbers · what a user actually gets", +chrome(s, 28, "Behind the numbers · what a user actually gets", "A first run loses a third of its throughput to page faults") figure(s, "fig_first_run", 1.37, 1.70, 10.6) callout(s, M, 5.98, 5.85, @@ -1652,17 +1783,17 @@ caption(s, M, 6.76, 11.9, section("Validation · does it find the same photons", "Every number so far assumed the answers are identical", "Whether the CUDA finder returns the same clusters as the CPU.", - [("27–28", "The fair comparison"), - ("29–30", "The residual, dissected"), - ("31–32", "For users"), - ("33", "What is next")], - rng=(27, 33), col=PALE, + [("29–30", "The fair comparison"), + ("31–32", "The residual, dissected"), + ("33–34", "For users"), + ("35", "What is next")], + rng=(29, 35), col=PALE, carry=("Established", "×9.1 and ×26.5", "on the hardware floor at both cluster sizes, if the physics holds")) # ============================================ 26 · PEDESTAL UPDATE TIMING s = new_slide() -chrome(s, 27, "Validation · why a CPU twin was needed", +chrome(s, 29, "Validation · why a CPU twin was needed", "CPU and CUDA update the pedestal at different moments") figure(s, "fig_pedtiming", M - 0.15, 1.90, 12.2) callout(s, M, 5.30, 5.85, @@ -1708,7 +1839,7 @@ Frozen ships in the library as a diagnostic, not as the recommended finder.""") # =========================================================== 26 · CORRECTNESS s = new_slide() -chrome(s, 28, "Validation · isolating one variable at a time", +chrome(s, 30, "Validation · isolating one variable at a time", "CUDA and its CPU twin agree exactly: 0 in 23 million") bullets(s, M, 1.86, 12.0, [ "**ClusterFinderFrozen** makes byte-for-byte the same decisions as ClusterFinder " @@ -1748,7 +1879,7 @@ caption(s, M, 6.58, 11.9, # ================================================ 28 · THE MISMATCH, SEEN s = new_slide() -chrome(s, 29, "Validation · the disagreement, seen", +chrome(s, 31, "Validation · the disagreement, seen", "The whole disagreement is one duplicate centre") figure(s, "fig_mismatch147", 1.37, 1.72, 10.6) callout(s, M, 6.30, 5.85, @@ -1783,7 +1914,7 @@ reproducible from ClusterFinderFrozen_vs_CUDA.ipynb directly.""") # ========================================================== 27 · RESIDUALS s = new_slide() -chrome(s, 30, "Validation · the six residuals, dissected", +chrome(s, 32, "Validation · the six residuals, dissected", "float32 cannot tell these two pixels apart") code(s, M, 1.88, 6.35, [ "frame 147 centre (x=202, y=8) 3×3 window", @@ -1850,7 +1981,7 @@ Consequences worth stating out loud if asked: # =========================================================== 28 · API 1 s = new_slide() -chrome(s, 31, "For users · Python API", "The fast path in eight lines") +chrome(s, 33, "For users · Python API", "The fast path in eight lines") code(s, M, 1.95, 7.6, [ "from aare import File, ClusterFinderCUDA", "", @@ -1890,7 +2021,7 @@ callout(s, 8.6, 6.35, 4.1, # =========================================================== 27 · API 2 s = new_slide() -chrome(s, 32, "For users · choosing the knobs", +chrome(s, 34, "For users · choosing the knobs", "Five knobs, and the one that silently truncates") hdr = [("Parameter", 1.05), ("What it does", 3.6), ("Guidance", 5.2)] y = 2.0 @@ -1940,7 +2071,7 @@ callout(s, M, 6.55, 11.2, # =========================================================== 28 · NEXT s = new_slide() -chrome(s, 33, "Where this leaves us", +chrome(s, 35, "Where this leaves us", "The bottleneck has walked from the host, to the GPU, to the wire") cards = [ ("DONE", ACCENT, "×9.1 at 3×3, ×26.5 at 9×9", @@ -2008,12 +2139,12 @@ section("", "the arc is finished; what follows answers questions")) # =========================================================================== -# ANNEX — the measurement detail behind slides 24–25, and the rejected routes +# ANNEX — the measurement detail behind slides 26–27, and the rejected routes # =========================================================================== # ---- A1 · THE CONVENTION ------------------------------------------------- s = new_slide() -annex_chrome(s, 1, "measurement convention · expands slide 18", +annex_chrome(s, 1, "measurement convention · expands slide 20", "Uncontended, or as the pipeline runs it") bullets(s, M, 1.90, 12.0, [ "Every engine time in this deck is tagged **[build · s1|s4]**. **s1** is one " @@ -2142,7 +2273,7 @@ rail(s, [ # Was a main-arc slide. It answers "did you try just making the copy faster?", # which is a question, not a step in the argument, so it belongs here. s = new_slide() -annex_chrome(s, 2, "rejected routes · the result copy · expands slide 18", +annex_chrome(s, 2, "rejected routes · the result copy · expands slide 20", "The copy is allocation-bound, not bandwidth-bound", part=3, nparts=3) rows = [ ("B\u2032", "One allocation per chunk", "collect_packed()", @@ -2180,7 +2311,7 @@ callout(s, M, 6.38, 11.9, # ---- A4 · THE OPT5 CODE -------------------------------------------------- s = new_slide() -annex_chrome(s, 3, "opt5 · the overlap code · expands slide 17", +annex_chrome(s, 3, "opt5 · the overlap code · expands slide 19", "The overlap, in six lines, and why you never write them") code(s, M, 1.86, 7.15, [ "tok = cf.«submit_batch»(data[a0:b0], first_frame=a0)", @@ -2225,7 +2356,7 @@ caption(s, M, 6.80, 12.0, # ---- A5 · THE FAULT MODEL ------------------------------------------------ s = new_slide() -annex_chrome(s, 4, "the fault model · expands slide 21", +annex_chrome(s, 4, "the fault model · expands slide 23", "The fault model, tested against every step") bullets(s, M, 1.90, 12.0, [ "Slide 26 fits **0.68 µs per first-touch fault** on the **3×3 f32** ladder, where " @@ -2253,17 +2384,17 @@ caption(s, M, 6.52, 12.0, "ladder_9x9.csv in results/2026-08-20_{f64,f32}_cap1700/, warm = best of reps " "1–4, faults are that rep's own getrusage minor-fault count. Predicted = Δfaults " "× 0.68 µs ÷ 20 000 frames, with 0.68 carried in unchanged from the 3×3 fit " - "(slide 25): nothing on this slide is tuned to make the columns agree. Observed " + "(slide 27): nothing on this slide is tuned to make the columns agree. Observed " "vs predicted: +13.22 / +13.37, −4.63 / −0.02, −4.54 / −4.81, −4.87 / 0.00. " "This table replaces an earlier figure that quoted opt3's +16 % as a measurement " "of the result path; it is a measurement of two allocator states.") # ---- A5 · THE VARIANCE REWRITE IN FULL ----------------------------------- -# Was main-arc slide 21, plus the error-floor panel that used to share -# fig_cancellation. Both are the quantitative backing for slide 20's third +# Was main-arc slide 23, plus the error-floor panel that used to share +# fig_cancellation. Both are the quantitative backing for slide 22's third # bullet, and neither is needed to follow the argument. s = new_slide() -annex_chrome(s, 5, "the variance rewrite · expands slide 20", +annex_chrome(s, 5, "the variance rewrite · expands slide 22", "The rewrite in full, and which pixels the error reached") bullets(s, M, 1.90, 7.4, [ "Freeze a per-pixel baseline **X₀ = round(mean)** once, at the end of pedestal " @@ -2299,10 +2430,10 @@ caption(s, 8.30, 2.00 + h + 0.18, 4.32, size=9) # ---- A6·1 · THE THREE ARTEFACTS ------------------------------------------ -# Main-arc slide 25 keeps only the first of these three, because it is the only +# Main-arc slide 27 keeps only the first of these three, because it is the only # one that moves a number the audience is shown. This is that slide as it stood. s = new_slide() -annex_chrome(s, 6, "benchmark artefacts · expands slide 25", +annex_chrome(s, 6, "benchmark artefacts · expands slide 27", "Three ways a GPU benchmark lies", part=1, nparts=4) items = [ ("First-touch page faults", AMBER, @@ -2341,7 +2472,7 @@ callout(s, M, 6.68, 11.9, # ---- A6 · FAULTS --------------------------------------------------------- s = new_slide() -annex_chrome(s, 6, "benchmark artefacts · expands slide 25", +annex_chrome(s, 6, "benchmark artefacts · expands slide 27", "First-touch page faults: two sources, one counter", part=2, nparts=4) bullets(s, M, 1.90, 12.0, [ "A page exists in the process's address space but has no physical frame yet. " @@ -2407,7 +2538,7 @@ rail(s, [ ("gap", 0.20), ("note", "Same kernel. The s4 column is the union of kernel intervals per frame, " "not how long one kernel takes. Quote s1 for duration; s4 feeds the floor, " - "subject to the sustained-rate rule on slide 18. Full grid: A1."), + "subject to the sustained-rate rule on slide 20. Full grid: A1."), ]) # ---- A8 · NSYS ----------------------------------------------------------- diff --git a/docs/deck/make_figs.py b/docs/deck/make_figs.py index 53887952..e62a69d5 100644 --- a/docs/deck/make_figs.py +++ b/docs/deck/make_figs.py @@ -1,4 +1,4 @@ -"""Figures for docs/cf_cuda_fused.pptx — deck palette, dark. +"""Figures for docs/cf_cuda_performance.pptx — deck palette, dark. Every number here is a quotable row from docs/ClusterFinderCUDA_benchmark_results.md, i.e. from python/tests/perf/results/. Acts I and II are the f64 arm, Act III is @@ -122,7 +122,7 @@ def _placements(): actually use. Where a figure appears twice, the narrowest placement wins, since that is the one that sets the smallest text. """ - deck = (Path(__file__).resolve().parent / "build_fused_deck.py") + deck = (Path(__file__).resolve().parent / "build_performance_deck.py") if not deck.exists(): return {} env = {"M": 0.7, "COL": 7.9, "RAIL_W": 3.5, "RAIL_X": 9.2, @@ -149,7 +149,7 @@ def save(fig, name, place_w=None): `place_w` is the width the deck places this figure at. Passing it turns the check on; the figure list at the bottom of this module keeps it in sync with - build_fused_deck.py, and tools/audit prints both sides. + build_performance_deck.py, and tools/audit prints both sides. """ path = OUT / f"{name}.png" texts = [(t.get_text(), t.get_fontsize()) @@ -739,27 +739,27 @@ def fig_resultpath(): for ax, title, floor, copy_us, gain, verdict, col in [ (a1, "3×3 · host copy 93 kB / frame", 16.17, 8.0, "×1.16", "copy hides under the GPU\n→ small win", ACCENT), - (a2, "9×9 · host copy 467 kB / frame", 30.01, 40.0, "×2.21", + (a2, "9×9 · host copy 467 kB / frame", 30.01, 62.0, "×2.21", "copy is larger than the GPU\n→ cannot hide at any overlap", AMBER), ]: ax.bar([0], [floor], width=0.5, color=col, zorder=3, linewidth=0) ax.bar([1], [copy_us], width=0.5, color=col, zorder=3, linewidth=0) ax.axhline(floor, color=GREEN, lw=1.3, ls="--", zorder=4) - ax.text(-0.55, floor + 1.2, "GPU floor", color=GREEN, fontsize=10, ha="left") - ax.text(0, floor + 1.4, f"{floor:.1f} µs", ha="center", color=PALE, + ax.text(-0.55, floor + 1.8, "GPU floor", color=GREEN, fontsize=10, ha="left") + ax.text(0, floor + 2.1, f"{floor:.1f} µs", ha="center", color=PALE, fontsize=10, fontweight="bold") - ax.text(1, copy_us + 1.4, f"≈{copy_us:.0f} µs", ha="center", color=PALE, + ax.text(1, copy_us + 2.1, f"≈{copy_us:.0f} µs", ha="center", color=PALE, fontsize=10, fontweight="bold") ax.set_xticks([0, 1]) ax.set_xticklabels(["GPU per frame\n(H2D ∥ kernel ∥ D2H)", "host copy per frame\ncollect() memcpy + malloc"], color=TEXT2, fontsize=10) - ax.set_xlim(-0.6, 1.7); ax.set_ylim(0, 52); ax.set_yticks([]) + ax.set_xlim(-0.6, 1.7); ax.set_ylim(0, 78); ax.set_yticks([]) bare(ax, keep=("bottom",)) ax.set_title(title, color=PALE, fontsize=10, pad=10, loc="left") - ax.text(1.68, 46, gain, color=col, fontsize=16, fontweight="bold", ha="right") - ax.text(1.68, 40, "opt5 → opt6", color=MUTED, fontsize=10, ha="right") - ax.text(-0.55, -11, verdict, color=col, fontsize=10, fontweight="bold", + ax.text(1.68, 75, gain, color=col, fontsize=16, fontweight="bold", ha="right") + ax.text(1.68, 68.5, "opt5 → opt6", color=MUTED, fontsize=10, ha="right") + ax.text(-0.55, -16, verdict, color=col, fontsize=10, fontweight="bold", va="top") fig.subplots_adjust(bottom=0.30) save(fig, "fig_resultpath") @@ -1075,7 +1075,7 @@ def fig_overlap(): ax.text(-0.25, y + lane_h / 2, lbl, ha="right", va="center", color=TEXT2, fontsize=10.5) - ax.text(-0.25, yG + lane_h + 0.30, "submit → collect, serialized (opt4)", + ax.text(-0.25, yG + lane_h + 0.30, "submit → collect, serialized (opt4) · 3×3", ha="left", va="bottom", color=TEXT2, fontsize=10.5, fontweight="bold") ax.text(-0.25, yG2 + lane_h + 0.30, "submit(i+1) before collect(i) (opt5)", @@ -1103,6 +1103,85 @@ def fig_overlap(): save(fig, "fig_overlap") +# ----------------------------- 12b. the 9x9 case: overlap runs out (opt5->opt6) +def fig_overlap_9x9(): + """Why opt5 stops at 9x9, and why a deeper buffer cannot restart it. + + Same pipelined loop as fig_overlap, but with the measured 9x9 proportions: + the GPU delivers a chunk every 30.01 us and the host needs ~62 (the + fault-corrected steady-state term; see the slide's caption). The host lane is + therefore the packed one, and it alone sets the finish line. + + The second strip is the answer to "add more slots". With three, the GPU front- + loads instead of stalling between chunks 2 and 3 -- but the host lane is + IDENTICAL in both strips, because it is already saturated, so both finish at + exactly the same time. A deeper buffer relocates GPU idle; it does not remove + it, and it cannot speed up the stage that is binding. + """ + fig, ax = plt.subplots(figsize=(11.2, 3.5)) + G, H = 30.0, 62.0 + lane_h = 9.0 + n = 4 + + def block(x, y, w, col, txt): + ax.add_patch(Rectangle((x, y), w, lane_h, facecolor=col, edgecolor=BG, + linewidth=1.4, zorder=3)) + ax.text(x + w / 2, y + lane_h / 2, txt, ha="center", va="center", + color=BG, fontsize=10, fontweight="bold", zorder=4) + + # The host is saturated in both cases, so its lane is the same schedule twice: + # chunk i is collected as soon as the host is free, never before G. + host_start = [G + i * H for i in range(n)] + finish = host_start[-1] + H + + # 2 slots: the GPU may only run one chunk ahead, so it waits for a slot to free + gpu2, free_at = [], [0.0, 0.0] + t = 0.0 + for i in range(n): + t = max(t, free_at[i % 2]) + gpu2.append(t); t += G + free_at[i % 2] = host_start[i] + H # slot returns when the host is done + # 3 slots: one more chunk of runway before the same wall + gpu3, free_at3 = [], [0.0, 0.0, 0.0] + t = 0.0 + for i in range(n): + t = max(t, free_at3[i % 3]) + gpu3.append(t); t += G + free_at3[i % 3] = host_start[i] + H + + for row, (gpu, tag, col) in enumerate([ + (gpu2, "2 slots · what ships", AMBER), + (gpu3, "3 slots · the natural next guess", MUTED)]): + yG = 49.0 - row * 33.0 + yH = yG - 12.0 + for i in range(n): + block(gpu[i], yG, G, ACCENT, f"GPU {i + 1}") + block(host_start[i], yH, H, PALE, f"host {i + 1}") + for lbl, y in (("GPU", yG), ("host", yH)): + ax.text(-6, y + lane_h / 2, lbl, ha="right", va="center", + color=TEXT2, fontsize=10.5) + ax.text(-6, yG + lane_h + 7.0, tag, ha="left", va="bottom", + color=col, fontsize=10.5, fontweight="bold") + # every gap the GPU sits through, marked where it happens + for i in range(1, n): + gap = gpu[i] - (gpu[i - 1] + G) + if gap > 4.0: # a 2 us seam is not an argument, only a real stall is + ax.annotate("", xy=(gpu[i], yG + lane_h / 2), + xytext=(gpu[i - 1] + G, yG + lane_h / 2), + arrowprops=dict(arrowstyle="<|-|>", color=AMBER, lw=1.3)) + ax.text((gpu[i] + gpu[i - 1] + G) / 2, yG + lane_h + 1.0, + f"idle {gap:.0f}", ha="center", va="bottom", + color=AMBER, fontsize=9.5, fontweight="bold") + + ax.plot([finish, finish], [2, 61], color=GREEN, lw=1.6, ls="--", zorder=6) + ax.text(finish + 5, 32, "same finish\nboth ways", ha="left", va="center", + color=GREEN, fontsize=11, fontweight="bold") + + ax.set_xlim(-32, finish + 62) + ax.set_ylim(0, 70) + ax.axis("off") + save(fig, "fig_overlap_9x9") + # ------------------------------------- 13. pedestal update timing, three ways def fig_pedtiming(): """Why ClusterFinderFrozen exists: the one variable it holds still. @@ -1176,6 +1255,7 @@ def fig_pedtiming(): fig_overlap() +fig_overlap_9x9() fig_pedtiming() diff --git a/docs/deck/make_figs_kernel.py b/docs/deck/make_figs_kernel.py index a552ab00..c2b9d209 100644 --- a/docs/deck/make_figs_kernel.py +++ b/docs/deck/make_figs_kernel.py @@ -6,7 +6,7 @@ Writes into docs/figures/ alongside the optimization figures. Occupancy numbers are not hand-computed: they come from cudaOccupancyMaxActiveBlocksPerMultiprocessor + cudaFuncGetAttributes on the real kernel (RTX 4090, sm_89), measured 2026-08-11 — see the table in -build_fused_deck.py. +build_performance_deck.py. 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