diff --git a/.github/workflows/wai-vector.yml b/.github/workflows/wai-vector.yml
index 757afb377..ce0f2d860 100644
--- a/.github/workflows/wai-vector.yml
+++ b/.github/workflows/wai-vector.yml
@@ -6,15 +6,17 @@ name: wai-vector vector graphics
 # committed bytes:
 #
 #   - Linux x86_64, Linux arm64 and macOS arm64, natively, debug and release: the unit
-#     tests, the refusal-order, canonical, clock, track, geometry, cost and held-set
-#     tests, the corpus tests, and `wai-vector vectors verify`, which also regenerates
-#     the whole corpus and converts every payload's authoring form back to its bytes;
+#     tests, the refusal-order, canonical, clock, track, geometry, cost, held-set and
+#     raster tests, the corpus tests (every frame of the rendering groups recomputed
+#     to its SHA-256), and `wai-vector vectors verify`, which also regenerates the
+#     whole corpus and converts every payload's authoring form back to its bytes;
 #   - WASI (wasm32-wasip2) under wasmtime, a 32-bit target: the same tests and the same
 #     `vectors verify`;
 #   - a browser's engine (wasm32-unknown-unknown) under Node: the recomputation of
 #     every expected file and every authoring form;
-#   - the fuzz leg: the corpus-seeded fuzz of the WOS1 and WVG1 parsers at depth, the
-#     peak-allocation test and the duplicate-detection comparison count.
+#   - the fuzz leg: the corpus-seeded fuzz of the WOS1 and WVG1 parsers at depth, each
+#     accepted payload of small cost rendered, the peak-allocation test and the
+#     duplicate-detection comparison count.
 #
 # There is no Windows leg: the Windows runner has been offline since 2026-08-28.
 
diff --git a/wai/vector-conformance/README.md b/wai/vector-conformance/README.md
index ff9b6f2f4..18b021d1f 100644
--- a/wai/vector-conformance/README.md
+++ b/wai/vector-conformance/README.md
@@ -3,9 +3,10 @@
 Vectors for `wai.graphics.vector`
 ([`extensions/graphics-vector.md`](../extensions/graphics-vector.md)): the `WOS1`
 outline set and the `WVG1` payload with the order in which a sink refuses them (§2),
-and the arithmetic a sink loads with: the clock, track evaluation, the load-time
-interval check and the per-frame cost (§3.1–§3.4). The capability is a Draft and is
-not registered; this corpus precedes its registration.
+the arithmetic a sink loads with: the clock, track evaluation, the load-time interval
+check and the per-frame cost (§3.1–§3.4); and the raster stage family RS1–RS9 and the
+frame procedure (§3.5–§3.10), as the SHA-256 of every frame's `RGBA8P`. The
+capability is a Draft and is not registered; this corpus precedes its registration.
 
 **Provenance.** Generated here by `wai-vector vectors gen` from formulas: every
 payload, outline set and arithmetic input is integers and text written in this
@@ -17,9 +18,10 @@ blocks is written here.
 **Equivalence.** A sink conforms on this corpus when, for every payload, it reports the
 expected file's `code`: the first refusal §2.7 gives, or `accepted`; and for every
 accepted payload it computes the same `SIZE` costs (§3.4(b)), the same `text_hash` and
-block identities (§2.11), and the same ticks per frame and frame range for each rate
-(§3.1, §2.7). An outline-set parser conforms when it reports §2.1's first code for
-every `.wos1` vector.
+block identities (§2.11), the same ticks per frame and frame range for each rate
+(§3.1, §2.7), and, where the expected file lists frames, the same `RGBA8P` bytes for
+every frame at every listed size and rate (overlay-equivalence, §1.3). An outline-set
+parser conforms when it reports §2.1's first code for every `.wos1` vector.
 
 ## Layout
 
@@ -29,7 +31,8 @@ every `.wos1` vector.
   it as `<name>.json`. The form has one member per field, zero fields included, and
   converts back to the same bytes (`wai-vector pack`).
 - `vectors/<group>/<name>.wos1` — an outline set checked on its own (§2.1).
-- `vectors/arith/<name>.json` — an arithmetic input: an operation and its cases.
+- `vectors/arith/<name>.json` and `vectors/flatten/<name>.json` — an arithmetic input:
+  an operation and its cases.
 - `vectors/<group>/index.json` — what each vector pins.
 - `expected/<group>/<name>.json` — the result recomputed from the vector and `sets/`
   alone, keys in ascending order, no whitespace:
@@ -38,9 +41,14 @@ every `.wos1` vector.
     identity, in reading order), `sizes` (`[w, h, cost]`) and `rates`
     (`[num, den, P, first frame, last frame]`; the range is empty when the first
     exceeds the last);
+  - in the groups that render, `frames`: for each listed size and rate, every frame's
+    `[g, SHA-256 of RGBA8P]` and the clip digest, the SHA-256 of the frames' digests
+    concatenated in order of `g` (SPEC §7, *Digests*); in `composite`, also each
+    frame's `RGBA8S` digest (`rgba8s`);
   - an arithmetic input: its results, or the SHA-256 of a whole table.
 - `sha256.json` — the digest sidecar SPEC §7, *Digests*, asks of a corpus: each entry
-  names its buffer and states its SHA-256.
+  names its buffer and states its SHA-256: the `div255` table, and for each rendering
+  vector at each listed size and rate, every frame's digest and the clip digest.
 
 ## Groups
 
@@ -67,6 +75,28 @@ every `.wos1` vector.
   exceed the ceiling by reusing a full-canvas path, a path of 16,381 points and a
   full-canvas glyph.
 
+- `flatten` — quadratics and cubics at the corners of the device range (levels 9 and
+  10), at each level boundary, degenerate, and at negative coordinates: each curve's
+  level and vertices (§3.5).
+- `fills` — fills and the same fills with every contour reversed, whose frames are
+  equal (P1); random polygons; a self-intersecting star under both rules; slivers;
+  edges on pixel and subpixel boundaries; the left fold; squares at each canvas edge;
+  negative coordinates; A-F5's triangle; a comb of 16,382 points that attains
+  `D_r = 256·p`; a path of 16,383 points; the non-zero seam and the even-odd fringe of
+  §3.13.
+- `runs` — glyphs that abut mid-pixel (no seam within a run, a seam across runs),
+  overlap, carry marks; a run of 4,096 glyphs; one glyph at all 256 subpixel phases.
+  The run set is drawn here (`vectors/raster.rs`) and carried inline.
+- `composite` — opacity, isolated groups four deep, clips under both rules, the group
+  pop, and pixels on which the two candidate fill orders differ (§3.9).
+- `motion` — a credit roll at an integer speed (frame `k` is frame 0 moved, P2) and at
+  a fractional one, a lower third that slides, holds and fades as a group, and each
+  easing mode.
+- `clock` — one document at 1280 × 720, 1920 × 1080 and 3840 × 2160, and at 25,
+  30000/1001 and 60 fps.
+- `slicing` — a document and three pieces cut from it; each piece's frames equal the
+  whole's at the same `g` (P7).
+
 ## Regenerating and verifying
 
 ```sh
diff --git a/wai/vector-conformance/expected/clock/three-sizes-three-rates.json b/wai/vector-conformance/expected/clock/three-sizes-three-rates.json
new file mode 100644
index 000000000..306d100cc
--- /dev/null
+++ b/wai/vector-conformance/expected/clock/three-sizes-three-rates.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"12a44d2dbd3c5e810dfbab8f9af21550d93356adceace168943d824a30694d9a","den":1,"frames":[[0,"b192a9eae9adbff2cc47d418833cac5f1e9e3ae70c9fbf3abc0c9fb97e91dd00"],[1,"eca524ab2bdcfc0b7d73c8fcde5b471d27e1f8cc33015ab8089e6e728b320e0a"],[2,"329773dc062c8872fd64d0c60dafe3bb460b62e411086b51d210f58596850f7d"]],"h":720,"num":25,"w":1280},{"clip":"4deb0f4eb96e4e352db638f44feb5585b7335e4a998e5935e26e8ab4adb99ffe","den":1001,"frames":[[0,"b192a9eae9adbff2cc47d418833cac5f1e9e3ae70c9fbf3abc0c9fb97e91dd00"],[1,"85ceec2403df102ea71767f16e38613727a32820ae89aaec97cf45313a3d2549"],[2,"efb44f9782b57dd674bf6bc00b3f2db1b99b89fbc58367c2fc50542ed3651363"]],"h":720,"num":30000,"w":1280},{"clip":"8905d6ccf28da3b8ac68e5c2c85edcbf4859b8e5c725562a7a8576a61f5b0b6b","den":1,"frames":[[0,"b192a9eae9adbff2cc47d418833cac5f1e9e3ae70c9fbf3abc0c9fb97e91dd00"],[1,"51ec4e0ee101304ab55b28bce5381417623c20b819ee5aa42b897a158a464a2e"],[2,"c3d8a0b0974a6bcf2c41b8d927118dbe53f09048b9ffc0c328cd171d90515639"],[3,"bc748ded90dfe64b85505653bc165675d2c3ac3ae9f6bd75e5c70d74465532f2"],[4,"cfa825b303017126825eb8a86e05d1b02320a0fe11d59c37eac7be9689d2cc21"],[5,"53a97479538862b4e8cb57588f802dbeb24e03a1c0a01a1f32d6587a6e219cf1"]],"h":720,"num":60,"w":1280},{"clip":"a5e912271f06af589cee47ea2f2e06139c19f133e77a55f1f8c53d798cbbbba9","den":1,"frames":[[0,"cb2b538d439cfa85c5869b5e3b636e7b2dd873feb86044ade4c94c5cf02e3a49"],[1,"d6f8b4a6656a4c9331fa8e185a3c45707d201164621056ff9f7d29517f3ea34f"],[2,"8319116d22d630a45f1d69463dd7ef60bcf695d699714b118460146bc43da833"]],"h":1080,"num":25,"w":1920},{"clip":"84d8ef62d7d6827af889a5e2d7202bb557d59af897538aed43c7b37030357def","den":1001,"frames":[[0,"cb2b538d439cfa85c5869b5e3b636e7b2dd873feb86044ade4c94c5cf02e3a49"],[1,"9ae76a07eb457b58cefbc80f10eb7b832b4963d8be97ec8cfbd79b4fe7df8947"],[2,"4f46bc3e44fc50fabf3852d7c2aa605273860094dd6fea823a79817925127287"]],"h":1080,"num":30000,"w":1920},{"clip":"c3c71b10fc218b67c0232857e5f3515c46c640b17cfa5a81081479257e6a5326","den":1,"frames":[[0,"cb2b538d439cfa85c5869b5e3b636e7b2dd873feb86044ade4c94c5cf02e3a49"],[1,"e7955ece0e7f223f075412521e753273b3161ffc6d4aa096e52d17e001de96e2"],[2,"4bd09b54c265e89d7548e5762cf8baf2ab46e6885f153089630b8737a2329316"],[3,"7a7f047ad24d76a90c97d058cf2005a32b8df3370002a19a77e2a2cb2c2ccfb7"],[4,"7a0645f620e9ccc6af544f278714ac86df310097d3ce4d1dbd251d3d1295e175"],[5,"9ff6eb416e3ff4089df6758285445fb143d582224dc3da56429f5820519deeb4"]],"h":1080,"num":60,"w":1920},{"clip":"f3891658afe4dfb9047d4cb67267350aed99db6b10b77ce6c46d26ae0a856178","den":1,"frames":[[0,"886f64052d4437ddce2f110a3a97616017efff3e05e5ae446e59f32270b6d4ba"],[1,"a4e85025a1f277435cce277eb819ef3c0bd729a7671e7bf2f706a2b35471b07b"],[2,"9a06285881a5e86b71231ce39dc16d4bc730d57058dff4aa31b37a869288c3b1"]],"h":2160,"num":25,"w":3840},{"clip":"573b83cf2f7da33c27dc242390502fca90b7df82a9712e465ed34072226be7de","den":1001,"frames":[[0,"886f64052d4437ddce2f110a3a97616017efff3e05e5ae446e59f32270b6d4ba"],[1,"b6977de4f465c07d38f5bdc0235fbc4fb394252d807e56b8b5b93f20d145e791"],[2,"3b75c473e9aaa9415d465a7f50808d501e544f3786c4e15fda1dffac05687e57"]],"h":2160,"num":30000,"w":3840},{"clip":"8d42b5ee2e12863cc8f29399885cb85848b81efa3b8f8e29d14aca0238f7ce1f","den":1,"frames":[[0,"886f64052d4437ddce2f110a3a97616017efff3e05e5ae446e59f32270b6d4ba"],[1,"584d319ee7d3857eb667564c8f42868e410005be39eb91c9f086fde8b9d053dc"],[2,"bfac111cb67a9c9a1f7661cab6f85bb9118ba8761b019e3178739c4d3cf5853d"],[3,"bb17b77dd1f0f095f5dd32240b184abf9f0db1e1f45264c185c340689c6418be"],[4,"79808e311ed772e3a9f50344991649eddc6211f47a55fed2919e84ed03b3dd1b"],[5,"dd5e23d7f1b7c9b51adda27a51a195a72a4009dcf48e2e69fd38695f4f06351c"]],"h":2160,"num":60,"w":3840}],"instr":"536c1635e666c5adf19a26f1a1d6a837f0250bd4259b28a3490e2f66e423e226","rates":[[25,1,4800,0,2],[30000,1001,4004,0,2],[60,1,2000,0,5]],"sizes":[[1280,720,1306740],[1920,1080,2922053],[3840,2160,11635605]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/composite/clip-evenodd.json b/wai/vector-conformance/expected/composite/clip-evenodd.json
new file mode 100644
index 000000000..c215c1d95
--- /dev/null
+++ b/wai/vector-conformance/expected/composite/clip-evenodd.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"5e39ff5658a5c24d3d186b492a80bb4db55486de98104e4a3b9cbb09eac246e2","den":1,"frames":[[0,"08b7ff60a3681f939d615664ad77e86f14d59724750d76166ac6082736eef0ee"]],"h":24,"num":25,"rgba8s":[[0,"62af7dc85c4aacb28b8f810387772202db0a68922eab73675287bf20f7f01cc4"]],"w":24}],"instr":"554557c51bcdf984645b905150597aaaa43bfdea9b98aa3f2e55845e0e8e0bab","rates":[[25,1,4800,0,0]],"sizes":[[24,24,11840]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/composite/clip-nonzero.json b/wai/vector-conformance/expected/composite/clip-nonzero.json
new file mode 100644
index 000000000..a2b9f7a9f
--- /dev/null
+++ b/wai/vector-conformance/expected/composite/clip-nonzero.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"6fd132c1f8324426d678ad6b07a58275dcfd63a98db4d2dae16676f4590bff0d","den":1,"frames":[[0,"7818f83e1c6f93a5d068125c46365352267bdfc6fc3db16734295de13a3f8200"]],"h":24,"num":25,"rgba8s":[[0,"ed201167a5ac12fab57c9bb01ca8f8d777cb5c0016f5888a89f5d84bfc39c974"]],"w":24}],"instr":"05ab4776485f5494396a5058f672e5aaf982d02767317c462441cc1338512298","rates":[[25,1,4800,0,0]],"sizes":[[24,24,11840]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/composite/group-pop.json b/wai/vector-conformance/expected/composite/group-pop.json
new file mode 100644
index 000000000..d1cffb8da
--- /dev/null
+++ b/wai/vector-conformance/expected/composite/group-pop.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"380517e5600b8f9e84006d0238141bc41cce5cee90405deec0b9f537d5cd6055","den":1,"frames":[[0,"98209faa1b48f22092861920ceee41e94eba3e13b4add6c717135afa0983e3ae"]],"h":16,"num":25,"rgba8s":[[0,"12fb324687de4e3eff2e188f52ce66732ea4209c5690e71c960185d583737a89"]],"w":16}],"instr":"7d94d93b666ecfff9cd658b683cb33f56f5ae56b24a4c7b7d322ba1748849336","rates":[[25,1,4800,0,0]],"sizes":[[16,16,13368]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/composite/groups-depth-4.json b/wai/vector-conformance/expected/composite/groups-depth-4.json
new file mode 100644
index 000000000..c5d6f0263
--- /dev/null
+++ b/wai/vector-conformance/expected/composite/groups-depth-4.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"a22a2b82407c5547476e0135eda82ff9b22170b9ed48c45c1a01056432a61283","den":1,"frames":[[0,"45895d13b089d8c78cd4d604e335bb13fc7927872cc8ec0c41c1db2e9b3ab408"]],"h":24,"num":25,"rgba8s":[[0,"45895d13b089d8c78cd4d604e335bb13fc7927872cc8ec0c41c1db2e9b3ab408"]],"w":32}],"instr":"678b9f20ca3774f97244393d8ebe33c9084704944a17d00a507d08a7426464cc","rates":[[25,1,4800,0,0]],"sizes":[[32,24,32788]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/composite/isolation.json b/wai/vector-conformance/expected/composite/isolation.json
new file mode 100644
index 000000000..fa05f5415
--- /dev/null
+++ b/wai/vector-conformance/expected/composite/isolation.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"a0a56649b091f5cddbc92b1354596b4520447dae9d8c4f577de036b71b9449d3","den":1,"frames":[[0,"61c40b42e75d1cd8e6270a25ae99e2da40789e9256c3145d7a7b913c798b7ca2"]],"h":16,"num":25,"rgba8s":[[0,"fce20847a0ccd9d579d4848e2012f15ca25180747f8316b94301cf8faadedb94"]],"w":16}],"instr":"9f24db2a43ad5e7714a5163fce11dfc2188307f4502c085dfb718410d38a9b3d","rates":[[25,1,4800,0,0]],"sizes":[[16,16,8966]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/composite/j3-triples.json b/wai/vector-conformance/expected/composite/j3-triples.json
new file mode 100644
index 000000000..ea23ebaa0
--- /dev/null
+++ b/wai/vector-conformance/expected/composite/j3-triples.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"654d53cd1bb27af657597fa6f5bcb1a515e7faf17051c89b21feb31615252bd0","den":1,"frames":[[0,"89289fc439bf0608814c5d7ab62565abdaebf4c0beffc602ed01ce58cf494de1"]],"h":16,"num":25,"rgba8s":[[0,"fd39655c728b761814bbb6da2e3c417a2318c3244288b0091a0ed434c841dee4"]],"w":16}],"instr":"e5b90194017eeeb6df1d2986b8daf41e6b7ce5e477a0e9fc4e28017bf20df6e7","rates":[[25,1,4800,0,0]],"sizes":[[16,16,33136]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/composite/overlap-opacity.json b/wai/vector-conformance/expected/composite/overlap-opacity.json
new file mode 100644
index 000000000..5c70282b5
--- /dev/null
+++ b/wai/vector-conformance/expected/composite/overlap-opacity.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"11d5d040672e295d5787883b5dde8ce3cc7d4edddeeaae11ba2719853fbd01db","den":1,"frames":[[0,"231f0ce84eacc1e8ea12c851bead7ce2ff2b049c7714cf96e5a99e3f4de3816e"]],"h":16,"num":25,"rgba8s":[[0,"548d362e5b989c70e3c3dfb5a34f432e43dfdcea7216c923e99b730dcdda2215"]],"w":24}],"instr":"58e2279a34dbeaff5e49f77c22b5a08de68adfb9e957dd58914d204c75f5d10b","rates":[[25,1,4800,0,0]],"sizes":[[24,16,14537]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/fills/canvas-edges.json b/wai/vector-conformance/expected/fills/canvas-edges.json
new file mode 100644
index 000000000..e9d30a5ed
--- /dev/null
+++ b/wai/vector-conformance/expected/fills/canvas-edges.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"0095227574e561706da1f517ea89272b3d6415fab749daa320599de2a9b9c901","den":1,"frames":[[0,"7acc9769f27e8a76406c47566e194119fecad28d5c2240e66b9bc09a671637a6"]],"h":16,"num":25,"w":16}],"instr":"daa6f7411ad71d66a68e521ffc34260f691352057152223290e831767b3ee03b","rates":[[25,1,4800,0,0]],"sizes":[[16,16,33162]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/fills/comb-16382.json b/wai/vector-conformance/expected/fills/comb-16382.json
new file mode 100644
index 000000000..36af0f78a
--- /dev/null
+++ b/wai/vector-conformance/expected/fills/comb-16382.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"250f2cf5fac28b639401b6f278820b0699945f7ff5c44aa8cbc10767497199dc","den":1,"frames":[[0,"4759b6cae917eec1ec78d78fb7f9f7789be7b187c7f1c97762c517084c2143cd"]],"h":16,"num":25,"w":64}],"instr":"5621c5a148b02b0bf704fcf6a188bca995ebcfaa6b86e3ca4c75c1a95b5e59fe","rates":[[25,1,4800,0,0]],"sizes":[[64,16,17333244]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/fills/curves-reversed.json b/wai/vector-conformance/expected/fills/curves-reversed.json
new file mode 100644
index 000000000..879b1f0d7
--- /dev/null
+++ b/wai/vector-conformance/expected/fills/curves-reversed.json
@@ -0,0 +1 @@
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diff --git a/wai/vector-conformance/expected/fills/curves.json b/wai/vector-conformance/expected/fills/curves.json
new file mode 100644
index 000000000..7a462b402
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diff --git a/wai/vector-conformance/expected/fills/fringe-evenodd.json b/wai/vector-conformance/expected/fills/fringe-evenodd.json
new file mode 100644
index 000000000..40d691bfb
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diff --git a/wai/vector-conformance/expected/fills/hole-reversed.json b/wai/vector-conformance/expected/fills/hole-reversed.json
new file mode 100644
index 000000000..a0a9062d3
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diff --git a/wai/vector-conformance/expected/fills/hole.json b/wai/vector-conformance/expected/fills/hole.json
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index 000000000..06674ec90
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diff --git a/wai/vector-conformance/expected/fills/left-fold.json b/wai/vector-conformance/expected/fills/left-fold.json
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index 000000000..caeddbf7a
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diff --git a/wai/vector-conformance/expected/fills/negative.json b/wai/vector-conformance/expected/fills/negative.json
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index 000000000..be8998488
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diff --git a/wai/vector-conformance/expected/fills/pixel-edges.json b/wai/vector-conformance/expected/fills/pixel-edges.json
new file mode 100644
index 000000000..40e214924
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diff --git a/wai/vector-conformance/expected/fills/points-16383.json b/wai/vector-conformance/expected/fills/points-16383.json
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index 000000000..8e45a83d3
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diff --git a/wai/vector-conformance/expected/fills/random-0-reversed.json b/wai/vector-conformance/expected/fills/random-0-reversed.json
new file mode 100644
index 000000000..ad529d8bd
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diff --git a/wai/vector-conformance/expected/fills/random-0.json b/wai/vector-conformance/expected/fills/random-0.json
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index 000000000..5fbe98084
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diff --git a/wai/vector-conformance/expected/fills/random-1-reversed.json b/wai/vector-conformance/expected/fills/random-1-reversed.json
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index 000000000..8b1742487
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diff --git a/wai/vector-conformance/expected/fills/random-1.json b/wai/vector-conformance/expected/fills/random-1.json
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index 000000000..60f81e304
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diff --git a/wai/vector-conformance/expected/fills/random-2-reversed.json b/wai/vector-conformance/expected/fills/random-2-reversed.json
new file mode 100644
index 000000000..786846ac7
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diff --git a/wai/vector-conformance/expected/fills/random-2.json b/wai/vector-conformance/expected/fills/random-2.json
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index 000000000..c0f511cb3
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diff --git a/wai/vector-conformance/expected/fills/random-3-reversed.json b/wai/vector-conformance/expected/fills/random-3-reversed.json
new file mode 100644
index 000000000..8742a36dc
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diff --git a/wai/vector-conformance/expected/fills/random-3.json b/wai/vector-conformance/expected/fills/random-3.json
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index 000000000..c135e28c0
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diff --git a/wai/vector-conformance/expected/fills/rect-reversed.json b/wai/vector-conformance/expected/fills/rect-reversed.json
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index 000000000..6158ff397
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diff --git a/wai/vector-conformance/expected/fills/rect.json b/wai/vector-conformance/expected/fills/rect.json
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diff --git a/wai/vector-conformance/expected/fills/seam-nonzero.json b/wai/vector-conformance/expected/fills/seam-nonzero.json
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index 000000000..43cc8ad3e
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diff --git a/wai/vector-conformance/expected/fills/slivers.json b/wai/vector-conformance/expected/fills/slivers.json
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index 000000000..c9bab1d03
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diff --git a/wai/vector-conformance/expected/fills/star-evenodd-reversed.json b/wai/vector-conformance/expected/fills/star-evenodd-reversed.json
new file mode 100644
index 000000000..8c1394548
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diff --git a/wai/vector-conformance/expected/fills/star-evenodd.json b/wai/vector-conformance/expected/fills/star-evenodd.json
new file mode 100644
index 000000000..3e824ddb3
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diff --git a/wai/vector-conformance/expected/fills/star-nonzero-reversed.json b/wai/vector-conformance/expected/fills/star-nonzero-reversed.json
new file mode 100644
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diff --git a/wai/vector-conformance/expected/fills/star-nonzero.json b/wai/vector-conformance/expected/fills/star-nonzero.json
new file mode 100644
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diff --git a/wai/vector-conformance/expected/fills/triangle-af5.json b/wai/vector-conformance/expected/fills/triangle-af5.json
new file mode 100644
index 000000000..f9921f1f7
--- /dev/null
+++ b/wai/vector-conformance/expected/fills/triangle-af5.json
@@ -0,0 +1 @@
+{"blocks":[],"code":"accepted","frames":[{"clip":"098f0762eb2f68ef5c9fc140bfef8531cccfeb06e5859c07e39c1d32943d341e","den":1,"frames":[[0,"d8ed738b6f49de298c8590630c98f4331cc98fc6a832cb46a89d8907dd3c3731"]],"h":16,"num":25,"w":16}],"instr":"bf52900bc00c9b442436c199a2de16cb6a7162a20aa4c20dbe7bc61536aab5a8","rates":[[25,1,4800,0,0]],"sizes":[[16,16,3343]],"text_hash":"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"}
diff --git a/wai/vector-conformance/expected/flatten/curves.json b/wai/vector-conformance/expected/flatten/curves.json
new file mode 100644
index 000000000..3160e7881
--- /dev/null
+++ b/wai/vector-conformance/expected/flatten/curves.json
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diff --git a/wai/vector-conformance/expected/motion/easing.json b/wai/vector-conformance/expected/motion/easing.json
new file mode 100644
index 000000000..d744aca62
--- /dev/null
+++ b/wai/vector-conformance/expected/motion/easing.json
@@ -0,0 +1 @@
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diff --git a/wai/vector-conformance/expected/motion/lower-third.json b/wai/vector-conformance/expected/motion/lower-third.json
new file mode 100644
index 000000000..569359a8f
--- /dev/null
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diff --git a/wai/vector-conformance/expected/motion/roll-fractional.json b/wai/vector-conformance/expected/motion/roll-fractional.json
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index 000000000..08cf8d748
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diff --git a/wai/vector-conformance/expected/motion/roll-integer.json b/wai/vector-conformance/expected/motion/roll-integer.json
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index 000000000..0d6ed9c93
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diff --git a/wai/vector-conformance/expected/runs/abutting.json b/wai/vector-conformance/expected/runs/abutting.json
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diff --git a/wai/vector-conformance/expected/runs/marks.json b/wai/vector-conformance/expected/runs/marks.json
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diff --git a/wai/vector-conformance/expected/runs/overlapping.json b/wai/vector-conformance/expected/runs/overlapping.json
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diff --git a/wai/vector-conformance/expected/runs/phases.json b/wai/vector-conformance/expected/runs/phases.json
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diff --git a/wai/vector-conformance/expected/runs/run-4096.json b/wai/vector-conformance/expected/runs/run-4096.json
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diff --git a/wai/vector-conformance/expected/runs/two-runs.json b/wai/vector-conformance/expected/runs/two-runs.json
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diff --git a/wai/vector-conformance/expected/slicing/piece-0.json b/wai/vector-conformance/expected/slicing/piece-0.json
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diff --git a/wai/vector-conformance/expected/slicing/piece-1.json b/wai/vector-conformance/expected/slicing/piece-1.json
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diff --git a/wai/vector-conformance/expected/slicing/piece-2.json b/wai/vector-conformance/expected/slicing/piece-2.json
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diff --git a/wai/vector-conformance/expected/slicing/whole.json b/wai/vector-conformance/expected/slicing/whole.json
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diff --git a/wai/vector-conformance/sha256.json b/wai/vector-conformance/sha256.json
index 1def50a78..d04ddf408 100644
--- a/wai/vector-conformance/sha256.json
+++ b/wai/vector-conformance/sha256.json
@@ -1,3 +1,68 @@
 {
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index 000000000..7b5b268c2
--- /dev/null
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diff --git a/wai/vector-conformance/vectors/composite/clip-evenodd.json b/wai/vector-conformance/vectors/composite/clip-evenodd.json
new file mode 100644
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diff --git a/wai/vector-conformance/vectors/composite/clip-nonzero.json b/wai/vector-conformance/vectors/composite/clip-nonzero.json
new file mode 100644
index 000000000..e9af689dd
--- /dev/null
+++ b/wai/vector-conformance/vectors/composite/clip-nonzero.json
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diff --git a/wai/vector-conformance/vectors/composite/group-pop.json b/wai/vector-conformance/vectors/composite/group-pop.json
new file mode 100644
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diff --git a/wai/vector-conformance/vectors/fills/comb-16382.wvg1 b/wai/vector-conformance/vectors/fills/comb-16382.wvg1
new file mode 100644
index 000000000..38ca93835
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diff --git a/wai/vector-conformance/vectors/fills/curves-reversed.json b/wai/vector-conformance/vectors/fills/curves-reversed.json
new file mode 100644
index 000000000..91612f0de
--- /dev/null
+++ b/wai/vector-conformance/vectors/fills/curves-reversed.json
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diff --git a/wai/vector-conformance/vectors/fills/curves.json b/wai/vector-conformance/vectors/fills/curves.json
new file mode 100644
index 000000000..94b7bb608
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diff --git a/wai/vector-conformance/vectors/fills/curves.wvg1 b/wai/vector-conformance/vectors/fills/curves.wvg1
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diff --git a/wai/vector-conformance/vectors/fills/fringe-evenodd.json b/wai/vector-conformance/vectors/fills/fringe-evenodd.json
new file mode 100644
index 000000000..3dbc9e301
--- /dev/null
+++ b/wai/vector-conformance/vectors/fills/fringe-evenodd.json
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diff --git a/wai/vector-conformance/vectors/fills/fringe-evenodd.wvg1 b/wai/vector-conformance/vectors/fills/fringe-evenodd.wvg1
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diff --git a/wai/vector-conformance/vectors/fills/hole-reversed.json b/wai/vector-conformance/vectors/fills/hole-reversed.json
new file mode 100644
index 000000000..67777f272
--- /dev/null
+++ b/wai/vector-conformance/vectors/fills/hole-reversed.json
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diff --git a/wai/vector-conformance/vectors/fills/hole-reversed.wvg1 b/wai/vector-conformance/vectors/fills/hole-reversed.wvg1
new file mode 100644
index 000000000..4e0c2d278
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diff --git a/wai/vector-conformance/vectors/fills/hole.json b/wai/vector-conformance/vectors/fills/hole.json
new file mode 100644
index 000000000..1c8526481
--- /dev/null
+++ b/wai/vector-conformance/vectors/fills/hole.json
@@ -0,0 +1,38 @@
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diff --git a/wai/vector-conformance/vectors/fills/hole.wvg1 b/wai/vector-conformance/vectors/fills/hole.wvg1
new file mode 100644
index 000000000..0f7a0bcde
Binary files /dev/null and b/wai/vector-conformance/vectors/fills/hole.wvg1 differ
diff --git a/wai/vector-conformance/vectors/fills/index.json b/wai/vector-conformance/vectors/fills/index.json
new file mode 100644
index 000000000..afa65596b
--- /dev/null
+++ b/wai/vector-conformance/vectors/fills/index.json
@@ -0,0 +1,30 @@
+{
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+"comb-16382":"a comb of 16,382 points whose every segment crosses row 2: D_r = 256 p, the bound attained: accepted",
+"curves":"a contour of a quadratic, a cubic and its closing line: accepted",
+"curves-reversed":"a contour of a quadratic, a cubic and its closing line, every contour reversed: the same frames (P1): accepted",
+"fringe-evenodd":"a contour duplicated under even-odd: the interior 0 and the half-covered edge pixels 255 (a documented cost, §3.13): accepted",
+"hole":"an outer contour and a hole of the other orientation, non-zero: accepted",
+"hole-reversed":"an outer contour and a hole of the other orientation, non-zero, every contour reversed: the same frames (P1): accepted",
+"left-fold":"contours crossing the left edge, one wholly left of the canvas (it draws nothing), and one crossing the top: accepted",
+"negative":"a fill placed at negative coordinates, its crossings floors of negative rationals: accepted",
+"pixel-edges":"edges exactly on pixel boundaries (255 inside, 0 outside) and one subpixel inside them: accepted",
+"points-16383":"a path of 16,383 points, the cap, under even-odd: accepted",
+"random-0":"random polygons, partly off the canvas: accepted",
+"random-0-reversed":"random polygons, partly off the canvas, every contour reversed: the same frames (P1): accepted",
+"random-1":"random polygons, partly off the canvas: accepted",
+"random-1-reversed":"random polygons, partly off the canvas, every contour reversed: the same frames (P1): accepted",
+"random-2":"random polygons, partly off the canvas: accepted",
+"random-2-reversed":"random polygons, partly off the canvas, every contour reversed: the same frames (P1): accepted",
+"random-3":"random polygons, partly off the canvas: accepted",
+"random-3-reversed":"random polygons, partly off the canvas, every contour reversed: the same frames (P1): accepted",
+"rect":"a rectangle with every edge inside a pixel: accepted",
+"rect-reversed":"a rectangle with every edge inside a pixel, every contour reversed: the same frames (P1): accepted",
+"seam-nonzero":"two abutting rectangles of opposite orientation in one non-zero fill: the seam's pixel column reads 0 (a documented cost, §3.13): accepted",
+"slivers":"slivers one subpixel across, near-horizontal and near-vertical: accepted",
+"star-evenodd":"the star under even-odd: its centre a hole: accepted",
+"star-evenodd-reversed":"the star under even-odd: its centre a hole, every contour reversed: the same frames (P1): accepted",
+"star-nonzero":"a self-intersecting star under non-zero: its centre covered: accepted",
+"star-nonzero-reversed":"a self-intersecting star under non-zero: its centre covered, every contour reversed: the same frames (P1): accepted",
+"triangle-af5":"the triangle (0,0)-(512,3)-(0,3): |v| = 1280 and 512 in its two pixels, the snapped polygon's area, not the outline's: accepted"
+}
diff --git a/wai/vector-conformance/vectors/fills/left-fold.json b/wai/vector-conformance/vectors/fills/left-fold.json
new file mode 100644
index 000000000..86257c87d
--- /dev/null
+++ b/wai/vector-conformance/vectors/fills/left-fold.json
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diff --git a/wai/vector-conformance/vectors/fills/negative.json b/wai/vector-conformance/vectors/fills/negative.json
new file mode 100644
index 000000000..2c43869a2
--- /dev/null
+++ b/wai/vector-conformance/vectors/fills/negative.json
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diff --git a/wai/vector-conformance/vectors/fills/pixel-edges.json b/wai/vector-conformance/vectors/fills/pixel-edges.json
new file mode 100644
index 000000000..3e4e5df4d
--- /dev/null
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diff --git a/wai/vector-conformance/vectors/fills/points-16383.json b/wai/vector-conformance/vectors/fills/points-16383.json
new file mode 100644
index 000000000..0f6d9c6f5
--- /dev/null
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diff --git a/wai/vector-conformance/vectors/runs/run-4096.json b/wai/vector-conformance/vectors/runs/run-4096.json
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diff --git a/wai/vector-conformance/vectors/runs/two-runs.json b/wai/vector-conformance/vectors/runs/two-runs.json
new file mode 100644
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diff --git a/wai/vector-conformance/vectors/runs/two-runs.wvg1 b/wai/vector-conformance/vectors/runs/two-runs.wvg1
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diff --git a/wai/vector-conformance/vectors/slicing/index.json b/wai/vector-conformance/vectors/slicing/index.json
new file mode 100644
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--- /dev/null
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diff --git a/wai/vector-conformance/vectors/slicing/piece-1.json b/wai/vector-conformance/vectors/slicing/piece-1.json
new file mode 100644
index 000000000..495cb636c
--- /dev/null
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+{"kind":1,"rule":0,"zero@2":0,"ref":0,"paint":0,"text":0,"zero@10":0,"n_glyphs":0,"n_clusters":0,"t_on":0,"t_off":0,"unit_scale":0,"m00":0,"m01":0,"m10":0,"m11":0,"tx":0,"ty":0,"op":0,"zero@42":[0,0,0,0,0,0]}
+],
+"glyphs":[
+[1,0,4000,9000],
+[2,0,8000,9000],
+[3,0,12000,9000],
+[4,0,16000,9000],
+[5,0,20000,9000],
+[6,0,24000,9000],
+[1,0,4000,27000],
+[2,0,8000,27000],
+[3,0,12000,27000],
+[4,0,16000,27000],
+[5,0,20000,27000],
+[6,0,24000,27000]
+],
+"clusters":[
+[6,0,0,1],
+[6,0,0,1]
+],
+"strings":"undAundB",
+"inline":"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"
+}
diff --git a/wai/vector-conformance/vectors/slicing/whole.wvg1 b/wai/vector-conformance/vectors/slicing/whole.wvg1
new file mode 100644
index 000000000..b219d0eee
Binary files /dev/null and b/wai/vector-conformance/vectors/slicing/whole.wvg1 differ
diff --git a/wai/wai-vector/Cargo.toml b/wai/wai-vector/Cargo.toml
index f13cc994d..68765194c 100644
--- a/wai/wai-vector/Cargo.toml
+++ b/wai/wai-vector/Cargo.toml
@@ -29,6 +29,9 @@ required-features = ["std"]
 
 [features]
 std = []
+# The 32-bit identities of RS1 (§3.5), for a fabric without `i64` and for the model
+# checker; the unit tests build them too.
+i32-forms = []
 
 [lints.rust]
 unexpected_cfgs = { level = "warn", check-cfg = ["cfg(kani)"] }
diff --git a/wai/wai-vector/src/bin/wai-vector.rs b/wai/wai-vector/src/bin/wai-vector.rs
index 0e1794379..c53abfd6b 100644
--- a/wai/wai-vector/src/bin/wai-vector.rs
+++ b/wai/wai-vector/src/bin/wai-vector.rs
@@ -3,6 +3,10 @@
 //! ```text
 //! wai-vector check  <payload.wvg1> [--sets <dir>]   load (§2.7): the first refusal, or "accepted"
 //! wai-vector cost   <payload.wvg1> [--sets <dir>]   each listed size's per-frame cost (§3.4(b))
+//! wai-vector render <payload.wvg1> <W>x<H> <num>/<den> <g> <out.rgba> [--sets <dir>]
+//!                                                   frame g's RGBA8P (§3.10, §2.9)
+//! wai-vector hash   <payload.wvg1> [--sets <dir>]   every frame's SHA-256 and each clip digest,
+//!                                                   at every listed size and rate
 //! wai-vector pack   <form.json> <payload.wvg1>      the authoring form (§2.12) to bytes
 //! wai-vector unpack <payload.wvg1> <form.json>      bytes to the authoring form
 //! wai-vector vectors gen    <wai dir>               write vector-conformance/ and the fuzz seeds
@@ -17,7 +21,7 @@ use std::path::{Path, PathBuf};
 use std::process::ExitCode;
 
 use wai_vector::vectors::{self, CORPUS, SEEDS};
-use wai_vector::{SetStore, form, place, wvg1};
+use wai_vector::{SetStore, form, frame, place, wvg1};
 
 fn die(msg: &str) -> ExitCode {
     eprintln!("wai-vector: {msg}");
@@ -100,7 +104,7 @@ fn verify(wai: &Path) -> Result<(), String> {
     for rel in &groups {
         let Some((group, file)) = rel.split_once('/') else { continue };
         let Some((name, ext)) = file.rsplit_once('.') else { continue };
-        if name == "index" || (ext == "json" && group != "arith") {
+        if name == "index" || (ext == "json" && !vectors::INPUT_GROUPS.contains(&group)) {
             continue;
         }
         let bytes = read(&corpus.join("vectors").join(rel))?;
@@ -153,6 +157,29 @@ fn main() -> ExitCode {
             }
             Ok(())
         })(),
+        ["render", p, size, rate, g, out, ..] => (|| {
+            let mut st = store_from(sets_arg(&args).as_deref())?;
+            let l = wvg1::load(&read(Path::new(p))?, &mut st).map_err(|e| e.code.name().to_string())?;
+            let (w, h) = size.split_once('x').ok_or("size: <W>x<H>")?;
+            let (num, den) = rate.split_once('/').ok_or("rate: <num>/<den>")?;
+            let n = |s: &str| s.parse::<u64>().map_err(|_| format!("{s}: not a number"));
+            let px = frame::render_request(&l, n(w)? as u16, n(h)? as u16, n(num)? as u32, n(den)? as u32, n(g)?).map_err(|e| e.code.name().to_string())?;
+            std::fs::write(out, px).map_err(|e| e.to_string())
+        })(),
+        ["hash", p, ..] => (|| {
+            let mut st = store_from(sets_arg(&args).as_deref())?;
+            let l = wvg1::load(&read(Path::new(p))?, &mut st).map_err(|e| e.code.name().to_string())?;
+            let v = vectors::frame_digests(&l, false);
+            for f in v.as_arr().unwrap_or(&[]) {
+                let n = |k: &str| f.get(k).and_then(|x| x.as_int()).unwrap_or(0);
+                for d in f.get("frames").and_then(|x| x.as_arr()).unwrap_or(&[]) {
+                    let d = d.as_arr().unwrap_or(&[]);
+                    println!("{}x{} {}/{} {} {}", n("w"), n("h"), n("num"), n("den"), d[0].as_int().unwrap_or(0), d[1].as_str().unwrap_or(""));
+                }
+                println!("{}x{} {}/{} clip {}", n("w"), n("h"), n("num"), n("den"), f.get("clip").and_then(|x| x.as_str()).unwrap_or(""));
+            }
+            Ok(())
+        })(),
         ["pack", src, dst] => (|| {
             let text = String::from_utf8(read(Path::new(src))?).map_err(|_| String::from("not UTF-8"))?;
             std::fs::write(dst, form::to_bytes(&text)?).map_err(|e| e.to_string())
@@ -169,7 +196,7 @@ fn main() -> ExitCode {
             Ok(())
         })(),
         ["vectors", "verify", wai] => verify(Path::new(wai)),
-        _ => return die("usage: check|cost <payload> [--sets dir] | pack <form> <payload> | unpack <payload> <form> | vectors gen|verify <wai dir>"),
+        _ => return die("usage: check|cost|hash <payload> [--sets dir] | render <payload> <W>x<H> <num>/<den> <g> <out> [--sets dir] | pack <form> <payload> | unpack <payload> <form> | vectors gen|verify <wai dir>"),
     };
     match r {
         Ok(()) => ExitCode::SUCCESS,
diff --git a/wai/wai-vector/src/cover.rs b/wai/wai-vector/src/cover.rs
new file mode 100644
index 000000000..6345908c3
--- /dev/null
+++ b/wai/wai-vector/src/cover.rs
@@ -0,0 +1,240 @@
+//! RS2 `vec_rows`, RS3 `vec_cells`, RS4 `vec_scan`, RS5 `vec_alpha` and RS6
+//! `vec_union` (§3.6–§3.8): one fill's polylines become per-pixel values `v`, and `v`
+//! becomes coverage.
+//!
+//! The delta buffer covers the fill's box clipped to the canvas, as §3.11's freedoms
+//! allow: rows outside the canvas are skipped, and the columns left of the canvas fold
+//! into column 0, one contribution per row piece. Columns past the box hold no
+//! contribution, and a closed polyline's contributions to one row sum to 0, so `v` is 0
+//! outside the box: the box holds every nonzero value of the canvas.
+
+use alloc::vec;
+use alloc::vec::Vec;
+
+use crate::arith::floor_div;
+use crate::bounds::DENSITY_MAX;
+use crate::geom::Pt;
+
+/// Device subpixels per pixel.
+pub const PX: i64 = 256;
+
+/// One fill's values `v` over its box, clipped to the canvas: columns `c0 .. c0 + bw`
+/// and rows `r0 .. r0 + bh`, row-major.
+#[derive(Clone, Debug, PartialEq, Eq)]
+pub struct Cov {
+    pub c0: i64,
+    pub r0: i64,
+    pub bw: usize,
+    pub bh: usize,
+    pub v: Vec<i32>,
+}
+
+impl Cov {
+    pub fn empty() -> Cov {
+        Cov { c0: 0, r0: 0, bw: 0, bh: 0, v: Vec::new() }
+    }
+    /// `v` at canvas pixel `(c, r)`: 0 outside the box.
+    pub fn at(&self, c: i64, r: i64) -> i32 {
+        if c < self.c0 || r < self.r0 || c >= self.c0 + self.bw as i64 || r >= self.r0 + self.bh as i64 {
+            return 0;
+        }
+        self.v[(r - self.r0) as usize * self.bw + (c - self.c0) as usize]
+    }
+}
+
+/// The canvas-clipped box of a fill's polylines: `(c_lo, c_hi, r_lo, r_hi)`, or `None`
+/// when no contribution can reach the canvas.
+pub fn fill_box(polys: &[Vec<Pt>], w: i64, h: i64) -> Option<(i64, i64, i64, i64)> {
+    let (mut x0, mut x1, mut y0, mut y1) = (i64::MAX, i64::MIN, i64::MAX, i64::MIN);
+    for p in polys.iter().filter(|p| p.len() > 1) {
+        for q in p {
+            x0 = x0.min(q[0]);
+            x1 = x1.max(q[0]);
+            y0 = y0.min(q[1]);
+            y1 = y1.max(q[1]);
+        }
+    }
+    if x0 > x1 || y0 >= y1 {
+        return None;
+    }
+    let r_lo = floor_div(y0, PX).max(0);
+    let r_hi = floor_div(y1 - 1, PX).min(h - 1);
+    if r_lo > r_hi || floor_div(x0, PX) >= w {
+        return None;
+    }
+    let c_lo = floor_div(x0, PX).clamp(0, w - 1);
+    let c_hi = (floor_div(x1, PX) + 1).clamp(0, w - 1);
+    Some((c_lo, c_hi, r_lo, r_hi))
+}
+
+/// The row density `D_r` of a fill (§3.7), for each canvas row `r_lo..=r_hi`: the
+/// summed y-length of its segments inside the row.
+pub fn row_density(polys: &[Vec<Pt>], r_lo: i64, r_hi: i64) -> Vec<i64> {
+    let mut d = vec![0i64; (r_hi - r_lo + 1).max(0) as usize];
+    for p in polys {
+        for s in p.windows(2) {
+            let (yt, yb) = (s[0][1].min(s[1][1]), s[0][1].max(s[1][1]));
+            if yt == yb {
+                continue;
+            }
+            for r in floor_div(yt, PX).max(r_lo)..=floor_div(yb - 1, PX).min(r_hi) {
+                d[(r - r_lo) as usize] += yb.min(PX * r + PX) - yt.max(PX * r);
+            }
+        }
+    }
+    d
+}
+
+struct Acc<'a> {
+    d: &'a mut [i32],
+    bw: i64,
+    c_lo: i64,
+    w: i64,
+}
+
+impl Acc<'_> {
+    /// One sub-piece's contribution, in cell `c` of the row at offset `row` (§3.7).
+    #[inline]
+    fn add(&mut self, row: usize, c: i64, cover: i64, area: i64) {
+        let base = row * self.bw as usize;
+        if c < 0 {
+            self.d[base] += (2 * PX * cover) as i32;
+        } else if c < self.w {
+            self.d[base + (c - self.c_lo) as usize] += (2 * PX * cover - area) as i32;
+            if c + 1 < self.w {
+                self.d[base + (c + 1 - self.c_lo) as usize] += area as i32;
+            }
+        }
+    }
+
+    /// RS3: a row piece from `(xa, ya)` to `(xb, yb)`, row-local y, `ya ≠ yb`, split at
+    /// the column boundaries strictly between its ends. The crossings are the floors of
+    /// the exact y on the piece's line, the same from either end, so the piece is walked
+    /// left to right and its contributions negated when it runs right to left. The
+    /// sub-pieces left of the canvas fold into one contribution; those at or past `w`
+    /// contribute nothing.
+    fn row_piece(&mut self, row: usize, xa: i64, ya: i64, xb: i64, yb: i64) {
+        if xa == xb {
+            let c = floor_div(xa, PX);
+            let f = xa - PX * c;
+            self.add(row, c, yb - ya, (yb - ya) * 2 * f);
+            return;
+        }
+        let (xl, yl, xr, yr, sg) = if xa < xb { (xa, ya, xb, yb, 1) } else { (xb, yb, xa, ya, -1) };
+        let (dxp, dyp) = (xr - xl, yr - yl);
+        let cross = |xc: i64| yl + floor_div((xc - xl) * dyp, dxp);
+        let (mut x, mut y) = (xl, yl);
+        if xl < 0 {
+            let (xe, ye) = if xr <= 0 { (xr, yr) } else { (0, cross(0)) };
+            self.add(row, -1, sg * (ye - y), 0);
+            if xr <= 0 {
+                return;
+            }
+            x = xe;
+            y = ye;
+        }
+        loop {
+            let c = floor_div(x, PX);
+            if c >= self.w {
+                return;
+            }
+            let xn = (PX * (c + 1)).min(xr);
+            let yn = if xn == xr { yr } else { cross(xn) };
+            let cover = sg * (yn - y);
+            if cover != 0 {
+                self.add(row, c, cover, cover * ((x - PX * c) + (xn - PX * c)));
+            }
+            if xn == xr {
+                return;
+            }
+            x = xn;
+            y = yn;
+        }
+    }
+
+    /// RS2: a segment split at the pixel-row boundaries, each row piece in the
+    /// segment's direction, rows outside `r_lo..=r_hi` skipped.
+    fn segment(&mut self, p: Pt, q: Pt, r_lo: i64, r_hi: i64) {
+        let ([x0, y0], [x1, y1]) = (p, q);
+        if y0 == y1 {
+            return;
+        }
+        let down = y0 < y1;
+        let (xt, yt, xb, yb) = if down { (x0, y0, x1, y1) } else { (x1, y1, x0, y0) };
+        let (dx, dy) = (xb - xt, yb - yt);
+        let xat = |y: i64| xt + floor_div((y - yt) * dx, dy);
+        for r in floor_div(yt, PX).max(r_lo)..=floor_div(yb - 1, PX).min(r_hi) {
+            let y_top = yt.max(PX * r);
+            let y_bot = yb.min(PX * r + PX);
+            let (xa, xb2) = (xat(y_top), xat(y_bot));
+            let row = (r - r_lo) as usize;
+            if down {
+                self.row_piece(row, xa, y_top - PX * r, xb2, y_bot - PX * r);
+            } else {
+                self.row_piece(row, xb2, y_bot - PX * r, xa, y_top - PX * r);
+            }
+        }
+    }
+}
+
+/// One fill's values `v` over its canvas-clipped box (RS2–RS4): every segment of every
+/// polyline accumulated into the delta buffer, then each row scanned. `points` is the
+/// fill's stored point count `p`; a debug build asserts the density bound
+/// `D_r ≤ 256·p ≤ 2^22 − 256` of §3.7 before accumulating.
+pub fn accumulate(polys: &[Vec<Pt>], w: i64, h: i64, points: u64) -> Cov {
+    let Some((c_lo, c_hi, r_lo, r_hi)) = fill_box(polys, w, h) else { return Cov::empty() };
+    #[cfg(debug_assertions)]
+    for (i, dr) in row_density(polys, r_lo, r_hi).into_iter().enumerate() {
+        debug_assert!(dr <= 256 * points as i64 && dr <= DENSITY_MAX, "row {}: D_r = {dr} for p = {points}", r_lo + i as i64);
+    }
+    let _ = (points, DENSITY_MAX);
+    let (bw, bh) = ((c_hi - c_lo + 1) as usize, (r_hi - r_lo + 1) as usize);
+    let mut d = vec![0i32; bw * bh];
+    let mut acc = Acc { d: &mut d, bw: bw as i64, c_lo, w };
+    for p in polys {
+        for s in p.windows(2) {
+            acc.segment(s[0], s[1], r_lo, r_hi);
+        }
+    }
+    // RS4: the scan, row by row.
+    for row in d.chunks_exact_mut(bw) {
+        let mut sum = 0i32;
+        for x in row.iter_mut() {
+            sum += *x;
+            *x = sum;
+        }
+    }
+    Cov { c0: c_lo, r0: r_lo, bw, bh, v: d }
+}
+
+/// RS5: a fill's coverage under its rule, 0 non-zero and 1 even-odd.
+#[inline]
+pub fn alpha(v: i32, rule: u8) -> u8 {
+    if rule == 0 { crate::arith::alpha_nonzero(v) } else { crate::arith::alpha_evenodd(v) }
+}
+
+/// RS6: a run's sum `S = Σ_k min(|v_k|, 2^17)` over a box, before its quantiser.
+#[derive(Clone, Debug)]
+pub struct RunSum {
+    pub c0: i64,
+    pub r0: i64,
+    pub bw: usize,
+    pub bh: usize,
+    pub s: Vec<u32>,
+}
+
+impl RunSum {
+    pub fn new(c0: i64, r0: i64, bw: usize, bh: usize) -> RunSum {
+        RunSum { c0, r0, bw, bh, s: vec![0; bw * bh] }
+    }
+    /// Add one glyph record's `c_k = min(|v_k|, 2^17)`; its box lies within this one.
+    pub fn add(&mut self, cov: &Cov) {
+        for r in 0..cov.bh {
+            let dst = (cov.r0 - self.r0) as usize + r;
+            for c in 0..cov.bw {
+                let v = cov.v[r * cov.bw + c];
+                self.s[dst * self.bw + (cov.c0 - self.c0) as usize + c] += v.unsigned_abs().min(crate::bounds::FULL as u32);
+            }
+        }
+    }
+}
diff --git a/wai/wai-vector/src/frame.rs b/wai/wai-vector/src/frame.rs
new file mode 100644
index 000000000..1c577da27
--- /dev/null
+++ b/wai/wai-vector/src/frame.rs
@@ -0,0 +1,199 @@
+//! The frame procedure `R(P, S, z, r, g)` (§3.10): a loaded payload, a listed size
+//! and rate, and a frame in range give the bytes of `RGBA8P` (§2.9).
+//!
+//! A run's glyph outlines are placed and flattened once per glyph ID, then moved to
+//! each record's origin: placement offsets do not depend on the origin, and the
+//! flattened vertices of a translated curve are the translated vertices (§3.11 lets an
+//! implementation cache what the definition makes equal).
+
+use alloc::collections::BTreeMap;
+use alloc::vec::Vec;
+
+use crate::bounds::NONE;
+use crate::clock;
+use crate::cover::{self, Cov, RunSum};
+use crate::geom::{self, Pt};
+use crate::paint::{self, Target};
+use crate::place::{SLOT_DEFAULT, linear_map, origin, point_offset};
+use crate::refuse::{Code, Refusal, refuse};
+use crate::track;
+use crate::wos1::Point;
+use crate::wvg1::{Item, KIND_BEGIN, KIND_END, KIND_PATH, KIND_RUN, Loaded, M00, M01, M10, M11, OP, TX, TY};
+
+/// The value of an item's slot at tick `tau`: its track's value, or the slot's default.
+fn slot(l: &Loaded, it: &Item, s: usize, tau: i64) -> i64 {
+    match it.slots[s] {
+        NONE => SLOT_DEFAULT[s],
+        t => track::eval(l.doc.track_keys(t as usize), &l.doc.tables, tau),
+    }
+}
+
+/// An outline's contours, placed: each point at `t + offset(L, p)`, flattened (RS1).
+fn place_outline(pts: &[Point], ends: &[u16], l: [i64; 4], t: Pt, out: &mut Vec<Vec<Pt>>) {
+    let mut start = 0usize;
+    let mut placed: Vec<(Pt, u8)> = Vec::new();
+    for &e in ends {
+        let end = e as usize + 1;
+        placed.clear();
+        for p in &pts[start..end] {
+            let o = point_offset(l, [i64::from(p.x), i64::from(p.y)]);
+            placed.push(([t[0] + o[0], t[1] + o[1]], p.tag));
+        }
+        let mut poly = Vec::new();
+        geom::flatten_contour(&placed, &mut poly);
+        out.push(poly);
+        start = end;
+    }
+}
+
+/// The items' matching group ends.
+fn group_ends(items: &[Item]) -> Vec<usize> {
+    let mut m = alloc::vec![0usize; items.len()];
+    let mut stack = Vec::new();
+    for (i, it) in items.iter().enumerate() {
+        match it.kind {
+            KIND_BEGIN => stack.push(i),
+            KIND_END => {
+                if let Some(b) = stack.pop() {
+                    m[b] = i;
+                }
+            }
+            _ => {}
+        }
+    }
+    m
+}
+
+/// A path fill's or a clip's values: the path placed with matrix `m`, origin sum `o`
+/// and `unit_scale` `s`, at width `w`.
+fn path_cov(l: &Loaded, path: usize, m: [i64; 4], o: Pt, s: i64, w: i64, h: i64) -> Cov {
+    let d = &l.doc;
+    let dw = i64::from(d.header.design_w);
+    let lm = linear_map(m, s, w, dw);
+    let t = origin(o, m, [0, 0], w, dw);
+    let mut polys = Vec::new();
+    place_outline(d.path_points_of(path), d.path_ends_of(path), lm, t, &mut polys);
+    cover::accumulate(&polys, w, h, u64::from(d.paths[path].n_points))
+}
+
+/// `R(P, S, z, r, g)` for size index `z`, rate index `r` and frame `g`, which must be in
+/// range (`frame_range` otherwise).
+pub fn render(l: &Loaded, z: usize, r: usize, g: u64) -> Result<Vec<u8>, Refusal> {
+    let d = &l.doc;
+    let p = d.rates[r].ticks_per_frame(d.header.tb);
+    if !clock::in_range(g, d.header.t0, d.header.dur, p) {
+        return refuse(Code::FrameRange, "render", "frame out of range", g);
+    }
+    // 1. τ = g·P.
+    let tau = clock::tick(g, p);
+    let (w, h) = (i64::from(d.sizes[z].w), i64::from(d.sizes[z].h));
+    let dw = i64::from(d.header.design_w);
+    let ends = group_ends(&d.items);
+    // 2. The root, cleared; a stack of (target, the group's item, its origin sum).
+    let mut stack: Vec<(Target, usize, Pt)> = Vec::new();
+    let mut root = Target::clear(w as usize, h as usize);
+    let mut o_sum: Pt = [0, 0];
+    let active = |it: &Item| i64::from(it.t_on) <= tau && tau < i64::from(it.t_off);
+    // 3. Each item in order.
+    let mut i = 0;
+    while i < d.items.len() {
+        let it = &d.items[i];
+        match it.kind {
+            KIND_BEGIN => {
+                if !active(it) {
+                    i = ends[i] + 1;
+                    continue;
+                }
+                let og = [o_sum[0] + slot(l, it, TX, tau), o_sum[1] + slot(l, it, TY, tau)];
+                stack.push((Target::clear(w as usize, h as usize), i, o_sum));
+                o_sum = og;
+            }
+            KIND_END => {
+                let (gt, gi, parent_o) = stack.pop().expect("groups balance");
+                let git = &d.items[gi];
+                let o_g = slot(l, git, OP, tau) as u8;
+                let target = match stack.last_mut() {
+                    Some(t) => &mut t.0,
+                    None => &mut root,
+                };
+                if git.reference == NONE {
+                    paint::group_pop(target, &gt, o_g, |_, _| 255);
+                } else {
+                    let cov = path_cov(l, git.reference as usize, crate::place::IDENTITY, o_sum, i64::from(git.unit_scale), w, h);
+                    let rule = git.rule;
+                    paint::group_pop(target, &gt, o_g, |x, y| cover::alpha(cov.at(x as i64, y as i64), rule));
+                }
+                o_sum = parent_o;
+            }
+            KIND_PATH | KIND_RUN if active(it) => {
+                let m = [slot(l, it, M00, tau), slot(l, it, M01, tau), slot(l, it, M10, tau), slot(l, it, M11, tau)];
+                let o = [o_sum[0] + slot(l, it, TX, tau), o_sum[1] + slot(l, it, TY, tau)];
+                let s = i64::from(it.unit_scale);
+                let paint = paint::paint_opacity(d.paints[it.paint as usize].rgba, slot(l, it, OP, tau) as u8);
+                let target = match stack.last_mut() {
+                    Some(t) => &mut t.0,
+                    None => &mut root,
+                };
+                if it.kind == KIND_PATH {
+                    let cov = path_cov(l, it.reference as usize, m, o, s, w, h);
+                    let rule = it.rule;
+                    paint::composite(target, paint, cov.c0, cov.r0, cov.bw, cov.bh, |c, r| cover::alpha(cov.v[r * cov.bw + c], rule));
+                } else {
+                    let set = &l.sets[it.reference as usize];
+                    let lm = linear_map(m, s, w, dw);
+                    // Each glyph ID placed at origin (0, 0) and flattened once.
+                    let mut shapes: BTreeMap<u16, (Vec<Vec<Pt>>, u64)> = BTreeMap::new();
+                    let mut placed: Vec<(u16, Pt)> = Vec::new();
+                    for gr in d.run_glyphs(i) {
+                        let t = origin(o, m, [i64::from(gr.x), i64::from(gr.y)], w, dw);
+                        placed.push((gr.gid, t));
+                        shapes.entry(gr.gid).or_insert_with(|| {
+                            let gl = set.glyph(gr.gid).expect("step 7");
+                            let mut polys = Vec::new();
+                            place_outline(set.glyph_points(gl), set.glyph_ends(gl), lm, [0, 0], &mut polys);
+                            (polys, u64::from(gl.n_points))
+                        });
+                    }
+                    // Each record's fill, and the run's box.
+                    let mut covs: Vec<Cov> = Vec::with_capacity(placed.len());
+                    for (gid, t) in &placed {
+                        let (polys, n) = &shapes[gid];
+                        let moved: Vec<Vec<Pt>> = polys.iter().map(|p| p.iter().map(|q| [q[0] + t[0], q[1] + t[1]]).collect()).collect();
+                        let c = cover::accumulate(&moved, w, h, *n);
+                        if c.bw > 0 && c.bh > 0 {
+                            covs.push(c);
+                        }
+                    }
+                    if !covs.is_empty() {
+                        let c0 = covs.iter().map(|c| c.c0).min().unwrap_or(0);
+                        let r0 = covs.iter().map(|c| c.r0).min().unwrap_or(0);
+                        let c1 = covs.iter().map(|c| c.c0 + c.bw as i64).max().unwrap_or(0);
+                        let r1 = covs.iter().map(|c| c.r0 + c.bh as i64).max().unwrap_or(0);
+                        let mut sum = RunSum::new(c0, r0, (c1 - c0) as usize, (r1 - r0) as usize);
+                        for c in &covs {
+                            sum.add(c);
+                        }
+                        paint::composite(target, paint, sum.c0, sum.r0, sum.bw, sum.bh, |c, r| crate::arith::alpha_sum(sum.s[r * sum.bw + c]));
+                    }
+                }
+            }
+            _ => {}
+        }
+        i += 1;
+    }
+    // 4. The root is the frame's RGBA8P.
+    Ok(root.px)
+}
+
+/// A render request by size, rate and frame: `size_unlisted`, `rate_unlisted` and
+/// `frame_range` are request errors, not refusals of the payload (§2.7, *Render*).
+pub fn render_request(l: &Loaded, w: u16, h: u16, num: u32, den: u32, g: u64) -> Result<Vec<u8>, Refusal> {
+    let d = &l.doc;
+    let Some(z) = d.sizes.iter().position(|s| s.w == w && s.h == h) else {
+        return refuse(Code::SizeUnlisted, "render", "no SIZE lists it", 0);
+    };
+    let Some(r) = d.rates.iter().position(|q| q.num == num && q.den == den) else {
+        return refuse(Code::RateUnlisted, "render", "no RATE lists it", 0);
+    };
+    render(l, z, r, g)
+}
diff --git a/wai/wai-vector/src/geom.rs b/wai/wai-vector/src/geom.rs
new file mode 100644
index 000000000..104773d75
--- /dev/null
+++ b/wai/wai-vector/src/geom.rs
@@ -0,0 +1,252 @@
+//! RS1 `vec_flatten` (§3.5): every curve becomes a polyline by the closed form, in
+//! `i64`. The 32-bit form, a quotient–remainder forward difference whose every value
+//! fits `i32`, is an identity: it gives the same vertices.
+
+use alloc::vec::Vec;
+
+/// A device point, in device subpixels.
+pub type Pt = [i64; 2];
+
+/// The level of a quadratic: the least `n ≥ 0` with `M ≤ 64·4^n`, where `M` is the
+/// largest `|P0 − 2·P1 + P2|` over the two axes.
+pub fn quad_level(p0: Pt, p1: Pt, p2: Pt) -> u32 {
+    let m = (0..2).map(|a| (p0[a] - 2 * p1[a] + p2[a]).abs()).max().unwrap_or(0);
+    let mut n = 0;
+    while m > 64i64 << (2 * n) {
+        n += 1;
+    }
+    n
+}
+
+/// The level of a cubic: the least `n ≥ 0` with `3·M ≤ 64·4^n`, where `M` is the
+/// largest `|P_i − 2·P_{i+1} + P_{i+2}|` over the two axes and `i ∈ {0, 1}`.
+pub fn cubic_level(p0: Pt, p1: Pt, p2: Pt, p3: Pt) -> u32 {
+    let m = (0..2)
+        .map(|a| (p0[a] - 2 * p1[a] + p2[a]).abs().max((p1[a] - 2 * p2[a] + p3[a]).abs()))
+        .max()
+        .unwrap_or(0);
+    let mut n = 0;
+    while 3 * m > 64i64 << (2 * n) {
+        n += 1;
+    }
+    n
+}
+
+/// Append a quadratic's vertices `V_1 … V_{2^n}`:
+/// `V_k = P0 + ⌊(2^(n+1)·k·B + k²·A)/4^n⌋`, `B = P1 − P0`, `A = P0 − 2·P1 + P2`.
+pub fn flatten_quad(p0: Pt, p1: Pt, p2: Pt, out: &mut Vec<Pt>) {
+    let n = quad_level(p0, p1, p2);
+    let b = [p1[0] - p0[0], p1[1] - p0[1]];
+    let a = [p0[0] - 2 * p1[0] + p2[0], p0[1] - 2 * p1[1] + p2[1]];
+    for k in 1..=(1i64 << n) {
+        let v = |ax: usize| p0[ax] + ((((k * b[ax]) << (n + 1)) + k * k * a[ax]) >> (2 * n));
+        out.push([v(0), v(1)]);
+    }
+}
+
+/// Append a cubic's vertices `V_1 … V_{2^n}`:
+/// `V_k = P0 + ⌊(3·4^n·k·B + 3·2^n·k²·C + k³·D)/8^n⌋`, with `B = P1 − P0`,
+/// `C = P0 − 2·P1 + P2` and `D = P3 − 3·P2 + 3·P1 − P0`.
+pub fn flatten_cubic(p0: Pt, p1: Pt, p2: Pt, p3: Pt, out: &mut Vec<Pt>) {
+    let n = cubic_level(p0, p1, p2, p3);
+    let mut b = [0i64; 2];
+    let mut c = [0i64; 2];
+    let mut d = [0i64; 2];
+    for ax in 0..2 {
+        b[ax] = p1[ax] - p0[ax];
+        c[ax] = p0[ax] - 2 * p1[ax] + p2[ax];
+        d[ax] = p3[ax] - 3 * p2[ax] + 3 * p1[ax] - p0[ax];
+    }
+    for k in 1..=(1i64 << n) {
+        let v = |ax: usize| p0[ax] + ((((3 * k * b[ax]) << (2 * n)) + ((3 * k * k * c[ax]) << n) + k * k * k * d[ax]) >> (3 * n));
+        out.push([v(0), v(1)]);
+    }
+}
+
+/// A contour's polyline (§3.5): its first point, then for each line, quadratic or cubic
+/// the grammar of §2.1 emits, in order, the line's end point or the curve's vertices;
+/// it ends at its first point. `pts` holds placed points with their tags, and meets
+/// the grammar. A contour of one point gives a polyline of one point: no segment.
+pub fn flatten_contour(pts: &[(Pt, u8)], out: &mut Vec<Pt>) {
+    let m = pts.len();
+    if m == 0 {
+        return;
+    }
+    let at = |i: usize| if i == m { pts[0] } else { pts[i] };
+    out.push(pts[0].0);
+    if m == 1 {
+        return;
+    }
+    let mut i = 0;
+    while i < m {
+        match at(i + 1).1 {
+            0 => {
+                out.push(at(i + 1).0);
+                i += 1;
+            }
+            1 => {
+                flatten_quad(at(i).0, at(i + 1).0, at(i + 2).0, out);
+                i += 2;
+            }
+            _ => {
+                flatten_cubic(at(i).0, at(i + 1).0, at(i + 2).0, at(i + 3).0, out);
+                i += 3;
+            }
+        }
+    }
+}
+
+// ------------------------------------------------------------------ the 32-bit form
+
+/// `x·2^e` as a pair `(q, r)` over `2^s`: `x·2^e = q·2^s + r`, `0 ≤ r < 2^s`.
+#[cfg(any(test, kani, feature = "i32-forms"))]
+fn qr(x: i32, e: u32, s: u32) -> (i32, i32) {
+    if e >= s {
+        (x << (e - s), 0)
+    } else {
+        let sh = s - e;
+        (x >> sh, (x & ((1 << sh) - 1)) << e)
+    }
+}
+
+/// The sum of two pairs over `2^s`, with one carry.
+#[cfg(any(test, kani, feature = "i32-forms"))]
+fn qr_add(a: (i32, i32), b: (i32, i32), s: u32) -> (i32, i32) {
+    let (mut q, mut r) = (a.0 + b.0, a.1 + b.1);
+    if s < 31 && r >= 1 << s {
+        r -= 1 << s;
+        q += 1;
+    }
+    (q, r)
+}
+
+/// A quadratic's vertices by the 32-bit form: the numerator and its forward
+/// differences in `k` as pairs over `2^(2n)`, every value in `i32`.
+#[cfg(any(test, kani, feature = "i32-forms"))]
+pub fn flatten_quad_i32(p0: [i32; 2], p1: [i32; 2], p2: [i32; 2], out: &mut Vec<[i32; 2]>) {
+    let n = quad_level(p0.map(i64::from), p1.map(i64::from), p2.map(i64::from));
+    let s = 2 * n;
+    let mut d1 = [(0, 0); 2];
+    let mut d2 = [(0, 0); 2];
+    for ax in 0..2 {
+        let b = p1[ax] - p0[ax];
+        let a = p0[ax] - 2 * p1[ax] + p2[ax];
+        d1[ax] = qr_add(qr(b, n + 1, s), qr(a, 0, s), s);
+        d2[ax] = qr(2 * a, 0, s);
+    }
+    let mut acc = [(0, 0); 2];
+    for _ in 0..(1u32 << n) {
+        for ax in 0..2 {
+            acc[ax] = qr_add(acc[ax], d1[ax], s);
+            d1[ax] = qr_add(d1[ax], d2[ax], s);
+        }
+        out.push([p0[0] + acc[0].0, p0[1] + acc[1].0]);
+    }
+}
+
+/// A cubic's vertices by the 32-bit form: pairs over `2^(3n)`.
+#[cfg(any(test, kani, feature = "i32-forms"))]
+pub fn flatten_cubic_i32(p0: [i32; 2], p1: [i32; 2], p2: [i32; 2], p3: [i32; 2], out: &mut Vec<[i32; 2]>) {
+    let n = cubic_level(p0.map(i64::from), p1.map(i64::from), p2.map(i64::from), p3.map(i64::from));
+    let s = 3 * n;
+    let mut d1 = [(0, 0); 2];
+    let mut d2 = [(0, 0); 2];
+    let mut d3 = [(0, 0); 2];
+    for ax in 0..2 {
+        let b = p1[ax] - p0[ax];
+        let c = p0[ax] - 2 * p1[ax] + p2[ax];
+        let d = p3[ax] - 3 * p2[ax] + 3 * p1[ax] - p0[ax];
+        d1[ax] = qr_add(qr_add(qr(3 * b, 2 * n, s), qr(3 * c, n, s), s), qr(d, 0, s), s);
+        d2[ax] = qr_add(qr(6 * c, n, s), qr(6 * d, 0, s), s);
+        d3[ax] = qr(6 * d, 0, s);
+    }
+    let mut acc = [(0, 0); 2];
+    for _ in 0..(1u32 << n) {
+        for ax in 0..2 {
+            acc[ax] = qr_add(acc[ax], d1[ax], s);
+            d1[ax] = qr_add(d1[ax], d2[ax], s);
+            d2[ax] = qr_add(d2[ax], d3[ax], s);
+        }
+        out.push([p0[0] + acc[0].0, p0[1] + acc[1].0]);
+    }
+}
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+    use alloc::vec;
+
+    const LO: i64 = -(1 << 22);
+    const HI: i64 = (1 << 22) - 1;
+
+    /// The device range's corners and near-corners, where the levels are 9 and 10.
+    fn corner_cases() -> Vec<[Pt; 4]> {
+        let mut v = vec![
+            [[LO, LO], [HI, LO], [LO, HI], [HI, HI]],
+            [[HI, LO], [LO, LO], [HI, HI], [LO, HI]],
+            [[LO, HI], [HI, HI], [LO, LO], [HI, LO]],
+            [[LO, LO], [HI, HI], [LO, LO], [HI, HI]],
+            [[0, 0], [HI, LO], [LO, HI], [0, 0]],
+        ];
+        let mut s = 0x0123_4567_89AB_CDEFu64;
+        for _ in 0..40 {
+            let mut c = [[0i64; 2]; 4];
+            for p in c.iter_mut() {
+                for x in p.iter_mut() {
+                    s ^= s << 13;
+                    s ^= s >> 7;
+                    s ^= s << 17;
+                    *x = match s % 3 {
+                        0 => LO,
+                        1 => HI,
+                        _ => LO + (s >> 8) as i64 % (HI - LO + 1),
+                    };
+                }
+            }
+            v.push(c);
+        }
+        v
+    }
+
+    /// The level rule at its boundary: `M = 64·4^n` gives level `n` for a quadratic and
+    /// `M = 64·4^n + 1` gives `n + 1`; for a cubic, the largest `M` with `3·M ≤ 64·4^n`
+    /// gives `n` and the next gives `n + 1`.
+    #[test]
+    fn level_boundary() {
+        for n in 0..10u32 {
+            let m = 64i64 << (2 * n);
+            assert_eq!(quad_level([0, 0], [0, 0], [0, m]), n, "quadratic, M = 64·4^{n}");
+            assert_eq!(quad_level([0, 0], [0, 0], [0, m + 1]), n + 1, "quadratic, M = 64·4^{n} + 1");
+            let mc = m / 3;
+            assert_eq!(cubic_level([0, 0], [0, 0], [0, mc], [0, 2 * mc]), n, "cubic, 3·M = {} ≤ 64·4^{n}", 3 * mc);
+            assert_eq!(cubic_level([0, 0], [0, 0], [0, mc + 1], [0, 2 * mc + 2]), n + 1, "cubic, 3·M = {} > 64·4^{n}", 3 * mc + 3);
+        }
+    }
+
+    /// The closed form and the 32-bit identity give the same vertices at the corners of
+    /// the device range, where the levels are 9 (quadratic) and 10 (cubic), and the last
+    /// vertex is the end point.
+    #[test]
+    fn closed_form_and_32_bit_identity_at_the_corners() {
+        let (mut q9, mut c10) = (0, 0);
+        for c in corner_cases() {
+            let (mut a, mut b) = (Vec::new(), Vec::new());
+            flatten_quad(c[0], c[1], c[2], &mut a);
+            let to32 = |p: Pt| [p[0] as i32, p[1] as i32];
+            flatten_quad_i32(to32(c[0]), to32(c[1]), to32(c[2]), &mut b);
+            assert_eq!(a.len(), b.len());
+            assert!(a.iter().zip(&b).all(|(x, y)| x[0] == i64::from(y[0]) && x[1] == i64::from(y[1])), "quadratic {c:?}");
+            assert_eq!(*a.last().unwrap(), c[2]);
+            assert!(quad_level(c[0], c[1], c[2]) <= 9);
+            q9 += usize::from(quad_level(c[0], c[1], c[2]) == 9);
+            let (mut a, mut b) = (Vec::new(), Vec::new());
+            flatten_cubic(c[0], c[1], c[2], c[3], &mut a);
+            flatten_cubic_i32(to32(c[0]), to32(c[1]), to32(c[2]), to32(c[3]), &mut b);
+            assert!(a.iter().zip(&b).all(|(x, y)| x[0] == i64::from(y[0]) && x[1] == i64::from(y[1])), "cubic {c:?}");
+            assert_eq!(*a.last().unwrap(), c[3]);
+            assert!(cubic_level(c[0], c[1], c[2], c[3]) <= 10);
+            c10 += usize::from(cubic_level(c[0], c[1], c[2], c[3]) == 10);
+        }
+        assert!(q9 >= 3 && c10 >= 3, "{q9} quadratics at level 9, {c10} cubics at level 10");
+    }
+}
diff --git a/wai/wai-vector/src/lib.rs b/wai/wai-vector/src/lib.rs
index f1efcc4c3..cd8e65b50 100644
--- a/wai/wai-vector/src/lib.rs
+++ b/wai/wai-vector/src/lib.rs
@@ -7,6 +7,10 @@
 //!   with its sets, and written canonically.
 //! - [`clock`], [`track`], [`place`]: the clock, track evaluation, placement, the
 //!   load-time interval check and the per-frame cost (§3.1–§3.4).
+//! - [`geom`], [`cover`], [`paint`]: the raster stage family RS1–RS9 (§3.5–§3.9,
+//!   §3.15): flattening, the row and cell split, accumulation and scan, coverage, the
+//!   glyph-wise union, compositing, groups and clips, and the straight-alpha view.
+//! - [`frame`]: the frame procedure (§3.10), `RGBA8P` at a listed size, rate and frame.
 //! - [`arith`]: `R_rat`, `R_half_up`, `div255`, the quantisers and the straight-alpha
 //!   channel (§3.0, §3.8, §3.9, §2.9).
 //! - [`scene`]: a builder that writes canonical payloads (authoring).
@@ -24,8 +28,12 @@ extern crate alloc;
 pub mod arith;
 pub mod bounds;
 pub mod clock;
+pub mod cover;
 pub mod form;
+pub mod frame;
+pub mod geom;
 pub mod json;
+pub mod paint;
 pub mod place;
 pub mod refuse;
 pub mod scene;
diff --git a/wai/wai-vector/src/paint.rs b/wai/wai-vector/src/paint.rs
new file mode 100644
index 000000000..785a05561
--- /dev/null
+++ b/wai/wai-vector/src/paint.rs
@@ -0,0 +1,90 @@
+//! RS7 `vec_composite`, RS8 `vec_group` and RS9 `vec_unpremul` (§3.9, §2.9).
+//!
+//! A fill: `p′ = div255(p·o)` once per item per frame; `s = div255(p′·α)` at each pixel;
+//! then source-over, `T ← s + div255(T·(255 − s_A))`. A group's pop:
+//! `k = div255(m·o_g)`, `s = div255(G·k)`, then source-over into the parent. The order
+//! is part of the definition. Every value stays below 2^24, and `c ≤ a ≤ 255` holds
+//! throughout with no clamp.
+
+use alloc::vec;
+use alloc::vec::Vec;
+
+use crate::arith::{div255, unpremul};
+
+/// A premultiplied RGBA8 target of `w × h` pixels, row-major.
+#[derive(Clone, Debug, PartialEq, Eq)]
+pub struct Target {
+    pub w: usize,
+    pub h: usize,
+    pub px: Vec<u8>,
+}
+
+impl Target {
+    /// A target cleared to `(0, 0, 0, 0)`.
+    pub fn clear(w: usize, h: usize) -> Target {
+        Target { w, h, px: vec![0; 4 * w * h] }
+    }
+}
+
+/// A fill's paint after its opacity: `p′_ch = div255(p_ch·o)`.
+#[inline]
+pub fn paint_opacity(p: [u8; 4], o: u8) -> [u32; 4] {
+    p.map(|c| div255(u32::from(c) * u32::from(o)))
+}
+
+/// Source-over of `s` into the pixel `t`.
+#[inline]
+pub fn src_over(t: &mut [u8], s: [u32; 4]) {
+    let inv = 255 - s[3];
+    for ch in 0..4 {
+        t[ch] = (s[ch] + div255(u32::from(t[ch]) * inv)) as u8;
+    }
+}
+
+/// RS7: composite a paint `p′` at each pixel of a box, with the coverage `alpha(c, r)`
+/// at canvas pixel `(c, r)`.
+pub fn composite(t: &mut Target, p: [u32; 4], c0: i64, r0: i64, bw: usize, bh: usize, alpha: impl Fn(usize, usize) -> u8) {
+    for r in 0..bh {
+        let y = r0 as usize + r;
+        for c in 0..bw {
+            let a = u32::from(alpha(c, r));
+            if a == 0 {
+                continue;
+            }
+            let s = p.map(|ch| div255(ch * a));
+            let i = 4 * (y * t.w + c0 as usize + c);
+            src_over(&mut t.px[i..i + 4], s);
+        }
+    }
+}
+
+/// RS8: pop a group's target `g` into its parent, with its clip's coverage `mask(x, y)`
+/// (255 where it has no clip) and its opacity `o_g`.
+pub fn group_pop(parent: &mut Target, g: &Target, o_g: u8, mask: impl Fn(usize, usize) -> u8) {
+    for y in 0..g.h {
+        for x in 0..g.w {
+            let i = 4 * (y * g.w + x);
+            if g.px[i + 3] == 0 {
+                // G = (0, 0, 0, 0): s = 0, and source-over of 0 leaves the parent.
+                continue;
+            }
+            let k = div255(u32::from(mask(x, y)) * u32::from(o_g));
+            let s = [0, 1, 2, 3].map(|ch| div255(u32::from(g.px[i + ch]) * k));
+            src_over(&mut parent.px[i..i + 4], s);
+        }
+    }
+}
+
+/// RS9: `RGBA8S`, the straight-alpha view of an `RGBA8P` buffer (§2.9).
+pub fn unpremul_buffer(p: &[u8]) -> Vec<u8> {
+    let mut out = Vec::with_capacity(p.len());
+    for px in p.as_chunks::<4>().0 {
+        let a = px[3];
+        if a == 0 {
+            out.extend_from_slice(&[0, 0, 0, 0]);
+        } else {
+            out.extend_from_slice(&[unpremul(px[0], a), unpremul(px[1], a), unpremul(px[2], a), a]);
+        }
+    }
+    out
+}
diff --git a/wai/wai-vector/src/vectors.rs b/wai/wai-vector/src/vectors.rs
index df3c7ef98..e4be8395b 100644
--- a/wai/wai-vector/src/vectors.rs
+++ b/wai/wai-vector/src/vectors.rs
@@ -6,13 +6,14 @@
 //!   SHA-256 among these files.
 //! - `vectors/<group>/<name>.wvg1`, with its JSON authoring form (§2.12) beside it as
 //!   `<name>.json`; `vectors/<group>/<name>.wos1`, an outline set checked on its own;
-//!   and, in `arith`, `<name>.json`, an arithmetic input.
+//!   and, in `arith` and `flatten`, `<name>.json`, an arithmetic input.
 //! - `vectors/<group>/index.json`: what each vector pins.
 //! - `expected/<group>/<name>.json`: the result recomputed from the vector, with keys
 //!   in ascending order and no whitespace: a refusal's code (§2.7, §2.1), or for an
 //!   accepted payload its SHA-256 (`instr`), `text_hash` and block identities (§2.11),
 //!   each listed size's cost (§3.4(b)) and each listed rate's ticks per frame and
-//!   frame range (§3.1, §2.7).
+//!   frame range (§3.1, §2.7); in the groups that render, every frame's SHA-256 at
+//!   every listed size and rate, and each clip digest (§3.10, §2.9).
 //! - `sha256.json`: the tree-wide digest sidecar (SPEC §7, *Digests*).
 //!
 //! [`generate`] writes every file. [`recompute`] gives a vector's expected file from
@@ -22,6 +23,8 @@ mod arith_vectors;
 mod canonical;
 mod cost;
 mod geometry;
+pub mod motion;
+pub mod raster;
 mod refusals;
 pub mod sets;
 
@@ -71,9 +74,17 @@ pub fn all_vectors() -> Vec<Vector> {
     v.extend(refusals::vectors());
     v.extend(geometry::vectors());
     v.extend(cost::vectors());
+    v.extend(raster::vectors());
+    v.extend(motion::vectors());
     v
 }
 
+/// The groups whose vectors are JSON inputs.
+pub const INPUT_GROUPS: [&str; 2] = ["arith", "flatten"];
+
+/// The groups whose expected files state every frame's digest.
+pub const FRAME_GROUPS: [&str; 6] = ["fills", "runs", "composite", "motion", "clock", "slicing"];
+
 /// A resolver holding every set under `sets/`.
 pub fn corpus_store() -> SetStore {
     let mut s = SetStore::new();
@@ -105,11 +116,68 @@ fn digest_str(b: &[u8]) -> Value {
     string(&hex(&sha256(b)))
 }
 
-/// A payload's expected file: its refusal, or what an accepted payload states.
-pub fn expect_wvg1(bytes: &[u8], store: &mut SetStore) -> String {
+/// A payload's expected file: its refusal, or what an accepted payload states; with
+/// `frames`, every frame's digest at every listed size and rate.
+pub fn expect_wvg1(bytes: &[u8], store: &mut SetStore, frames: bool) -> String {
     match wvg1::load(bytes, store) {
         Err(r) => line(&sorted(alloc::vec![("code", string(r.code.name()))])),
-        Ok(l) => line(&accepted(bytes, &l.doc, &l.costs)),
+        Ok(l) => {
+            let mut v = accepted(bytes, &l.doc, &l.costs);
+            if frames && let Value::Obj(m) = &mut v {
+                m.push((String::from("frames"), frame_digests(&l, false)));
+            }
+            line(&sorted_value(v))
+        }
+    }
+}
+
+/// Every frame of every listed size and rate: `{w, h, num, den, frames: [[g, SHA-256 of
+/// RGBA8P], …], clip}`, with `rgba8s` (the SHA-256 of each frame's `RGBA8S`) when
+/// `straight` is set.
+pub fn frame_digests(l: &wvg1::Loaded, straight: bool) -> Value {
+    let d = &l.doc;
+    let mut out = Vec::new();
+    for (z, size) in d.sizes.iter().enumerate() {
+        for (r, rate) in d.rates.iter().enumerate() {
+            let p = rate.ticks_per_frame(d.header.tb);
+            let mut digests = Vec::new();
+            let mut straight_d = Vec::new();
+            let mut concat = Vec::new();
+            for g in clock::frames(d.header.t0, d.header.dur, p) {
+                let px = crate::frame::render(l, z, r, g).expect("a frame in range renders");
+                let h = sha256(&px);
+                concat.extend_from_slice(&h);
+                digests.push(Value::Arr(alloc::vec![int(g), string(&hex(&h))]));
+                if straight {
+                    let s = crate::paint::unpremul_buffer(&px);
+                    straight_d.push(Value::Arr(alloc::vec![int(g), string(&hex(&sha256(&s)))]));
+                }
+            }
+            let mut m = alloc::vec![
+                ("w", int(size.w)),
+                ("h", int(size.h)),
+                ("num", int(rate.num)),
+                ("den", int(rate.den)),
+                ("frames", Value::Arr(digests)),
+                ("clip", string(&hex(&sha256(&concat)))),
+            ];
+            if straight {
+                m.push(("rgba8s", Value::Arr(straight_d)));
+            }
+            out.push(sorted(m));
+        }
+    }
+    Value::Arr(out)
+}
+
+/// An object's members re-sorted by key.
+fn sorted_value(v: Value) -> Value {
+    match v {
+        Value::Obj(mut m) => {
+            m.sort_by(|a, b| a.0.cmp(&b.0));
+            Value::Obj(m)
+        }
+        v => v,
     }
 }
 
@@ -168,12 +236,28 @@ pub fn expect_wos1(bytes: &[u8]) -> String {
 pub fn recompute(group: &str, ext: &str, bytes: &[u8], store: &mut SetStore) -> Result<String, String> {
     match (group, ext) {
         ("arith", "json") => arith_vectors::recompute(core::str::from_utf8(bytes).map_err(|_| String::from("not UTF-8"))?),
-        (_, "wvg1") => Ok(expect_wvg1(bytes, store)),
+        ("flatten", "json") => raster::recompute_flatten(core::str::from_utf8(bytes).map_err(|_| String::from("not UTF-8"))?),
+        ("composite", "wvg1") => Ok(expect_composite(bytes, store)),
+        (g, "wvg1") => Ok(expect_wvg1(bytes, store, FRAME_GROUPS.contains(&g))),
         (_, "wos1") => Ok(expect_wos1(bytes)),
         _ => Err(format!("no recomputation for {group}/*.{ext}")),
     }
 }
 
+/// A `composite` payload's expected file: its frames' `RGBA8P` and `RGBA8S` digests.
+fn expect_composite(bytes: &[u8], store: &mut SetStore) -> String {
+    match wvg1::load(bytes, store) {
+        Err(r) => line(&sorted(alloc::vec![("code", string(r.code.name()))])),
+        Ok(l) => {
+            let mut v = accepted(bytes, &l.doc, &l.costs);
+            if let Value::Obj(m) = &mut v {
+                m.push((String::from("frames"), frame_digests(&l, true)));
+            }
+            line(&sorted_value(v))
+        }
+    }
+}
+
 /// The authoring form beside a payload.
 pub fn form_of(bytes: &[u8]) -> String {
     form::to_json(bytes, "")
@@ -263,11 +347,33 @@ pub fn generate() -> Result<Vec<(String, Vec<u8>)>, String> {
         let members: Vec<&Vector> = vs.iter().filter(|v| v.group == *g).collect();
         out.push((format!("{CORPUS}/vectors/{g}/index.json"), index_text(&members).into_bytes()));
     }
-    let entries = alloc::vec![(
+    let mut entries = alloc::vec![(
         String::from("arith/div255"),
         String::from("the div255 table: 65,026 u8 values for x = 0..65025, in order"),
         alloc::vec![("sha256", alloc::vec![hex(&sha256(&arith_vectors::div255_table()))])],
     )];
+    // Every frame of the frame groups, per (vector, size, rate).
+    for (path, bytes) in &out {
+        let Some(rest) = path.strip_prefix(&format!("{CORPUS}/expected/")) else { continue };
+        let Some((group, file)) = rest.split_once('/') else { continue };
+        if !FRAME_GROUPS.contains(&group) {
+            continue;
+        }
+        let e = json::parse(core::str::from_utf8(bytes).map_err(|_| String::from("expected not UTF-8"))?).map_err(|_| String::from("expected not JSON"))?;
+        let Some(frames) = e.get("frames").and_then(Value::as_arr) else { continue };
+        for f in frames {
+            let n = |k: &str| f.get(k).and_then(Value::as_int).unwrap_or(0);
+            let ds: Vec<String> = f.get("frames").and_then(Value::as_arr).unwrap_or(&[]).iter().filter_map(|x| x.as_arr()?.get(1)?.as_str().map(String::from)).collect();
+            let gs: Vec<i128> = f.get("frames").and_then(Value::as_arr).unwrap_or(&[]).iter().filter_map(|x| x.as_arr()?.first()?.as_int()).collect();
+            let (first, last) = (gs.first().copied().unwrap_or(0), gs.last().copied().unwrap_or(-1));
+            let name = file.trim_end_matches(".json");
+            entries.push((
+                format!("{group}/{name}@{}x{}@{}/{}", n("w"), n("h"), n("num"), n("den")),
+                format!("RGBA8P, {} x {}, row-major, premultiplied, sRGB-encoded, bytes R G B A; frames g = {first}..={last} at {}/{} fps, in order", n("w"), n("h"), n("num"), n("den")),
+                alloc::vec![("frames_sha256", ds), ("clip_sha256", alloc::vec![String::from(f.get("clip").and_then(Value::as_str).unwrap_or(""))])],
+            ));
+        }
+    }
     out.push((format!("{CORPUS}/sha256.json"), sidecar_text(&entries).into_bytes()));
     for (name, bytes) in sets::fuzz_seeds() {
         out.push((format!("{SEEDS}/{name}"), bytes));
diff --git a/wai/wai-vector/src/vectors/motion.rs b/wai/wai-vector/src/vectors/motion.rs
new file mode 100644
index 000000000..9ec4c8826
--- /dev/null
+++ b/wai/wai-vector/src/vectors/motion.rs
@@ -0,0 +1,215 @@
+//! The timed groups (§3.1, §3.2, §3.10, §3.11): `motion` (a credit roll at an
+//! integer and a fractional speed, a lower third that slides, holds and fades as a
+//! group, and each easing mode), `clock` (one document at three sizes and three rates)
+//! and `slicing` (a document cut into pieces whose frames equal the whole's).
+
+use alloc::format;
+use alloc::vec;
+use alloc::vec::Vec;
+
+use super::Vector;
+use super::canonical::{TB, inline};
+use super::raster::{BLUE, GREEN, RED, UNIT, WHITE, set_r, star};
+use crate::scene::*;
+
+/// Ticks per frame at 25 fps and tb = 120000.
+pub const P25: u32 = 4_800;
+
+fn lines(n: usize, x: i16, y0: i16, pitch: i16, wide: i16) -> Vec<PathDef> {
+    (0..n).map(|i| PathDef::rect(x + 37 * (i as i16 % 5), y0 + pitch * i as i16, x + wide - 101 * (i as i16 % 3), y0 + pitch * i as i16 + 900)).collect()
+}
+
+/// A credit roll on a 160 × 90 canvas: `n` lines moving up at `speed_sp` design
+/// subpixels per frame for `frames` frames, keys on frame ticks.
+pub fn roll(frames: u32, speed_sp: i32, n: usize) -> SceneDef {
+    let mut s = SceneDef::new(TB, 0, frames * P25, 160, 90);
+    s.sizes = vec![(160, 90), (320, 180)];
+    s.rates.push((25, 1));
+    let ty = TrackDef::linear(2, 0, 0, frames * P25, -speed_sp * frames as i32);
+    s.items = lines(n, 2_000, 6_000, 2_000, 30_000)
+        .into_iter()
+        .map(|p| ItemDef::Path { path: p, rule: 0, paint: WHITE, text: None, t_on: 0, t_off: frames * P25, unit_scale: UNIT, slots: [None, None, None, None, None, Some(ty.clone()), None] })
+        .collect();
+    s
+}
+
+/// A lower third: a bar and a label block that slide in on an easing table, hold, and
+/// fade out, as one group.
+fn lower_third() -> SceneDef {
+    let mut s = SceneDef::new(TB, 0, TB, 160, 90);
+    s.sizes = vec![(160, 90), (320, 180)];
+    s.rates.push((25, 1));
+    let ease_out = Ease::Table([0, 9_000, 17_000, 24_000, 30_500, 36_000, 41_000, 45_500, 49_500, 53_000, 56_000, 58_500, 60_700, 62_500, 64_000, 65_000, 65_536]);
+    let slide = TrackDef { kind: 2, keys: vec![KeyDef { t: 0, value: -40_960, ease: ease_out }, KeyDef { t: 24_000, value: 0, ease: Ease::Hold }] };
+    let fade = TrackDef {
+        kind: 1,
+        keys: vec![KeyDef { t: 0, value: 255, ease: Ease::Hold }, KeyDef { t: 84_000, value: 255, ease: Ease::Linear }, KeyDef { t: 120_000, value: 0, ease: Ease::Hold }],
+    };
+    s.items = vec![
+        ItemDef::Begin { clip: None, t_on: 0, t_off: TB, tx: Some(slide), ty: None, op: Some(fade) },
+        ItemDef::Path { path: PathDef::rect(1_000, 15_000, 22_000, 20_000), rule: 0, paint: [20, 40, 120, 220], text: None, t_on: 0, t_off: TB, unit_scale: UNIT, slots: NO_SLOTS },
+        ItemDef::Path { path: PathDef { contours: vec![star(3_000, 17_500, 2_000)] }, rule: 1, paint: WHITE, text: None, t_on: 0, t_off: TB, unit_scale: UNIT, slots: NO_SLOTS },
+        ItemDef::Path { path: PathDef::rect(6_000, 16_000, 20_000, 17_000), rule: 0, paint: WHITE, text: None, t_on: 4_800, t_off: TB, unit_scale: UNIT, slots: NO_SLOTS },
+        ItemDef::End,
+    ];
+    s
+}
+
+/// One item per easing mode: hold, linear, a monotone table and a table that is not.
+fn easing() -> SceneDef {
+    let mut s = SceneDef::new(TB, 0, 48_000, 160, 90);
+    s.sizes = vec![(160, 90)];
+    s.rates.push((25, 1));
+    let mono = Ease::Table([0, 256, 1_024, 2_304, 4_096, 6_400, 9_216, 12_544, 16_384, 20_736, 25_600, 30_976, 36_864, 43_264, 50_176, 57_600, 65_536]);
+    let wild = Ease::Table([0, 65_536, 0, 65_536, 30_000, 2_000, 65_000, 1, 40_000, 40_000, 9_999, 65_536, 0, 12_345, 54_321, 33_333, 65_536]);
+    let mv = |e: Ease| TrackDef { kind: 2, keys: vec![KeyDef { t: 0, value: 0, ease: e }, KeyDef { t: 43_200, value: 25_600, ease: Ease::Hold }] };
+    s.items = [Ease::Hold, Ease::Linear, mono, wild]
+        .into_iter()
+        .enumerate()
+        .map(|(i, e)| ItemDef::Path {
+            path: PathDef::rect(1_000, 2_000 + 5_000 * i as i16, 4_000, 5_500 + 5_000 * i as i16),
+            rule: 0,
+            paint: [RED, GREEN, BLUE, WHITE][i],
+            text: None,
+            t_on: 0,
+            t_off: 48_000,
+            unit_scale: UNIT,
+            slots: [None, None, None, None, Some(mv(e)), None, None],
+        })
+        .collect();
+    s
+}
+
+/// One document at 1280 × 720, 1920 × 1080 and 3840 × 2160, and at 25, 30000/1001 and
+/// 60 fps: a tenth of a second.
+fn clock() -> SceneDef {
+    let mut s = SceneDef::new(TB, 0, 12_000, 1920, 1080);
+    s.sizes = vec![(1280, 720), (1920, 1080), (3840, 2160)];
+    s.rates = vec![(25, 1), (30_000, 1_001), (60, 1)];
+    let mv = TrackDef::linear(2, 0, 0, 12_000, 12_345);
+    let fade = TrackDef::linear(1, 0, 255, 12_000, 64);
+    s.items = vec![
+        ItemDef::Path { path: PathDef::rect(0, 0, 30_000, 20_000), rule: 0, paint: [30, 30, 90, 200], text: None, t_on: 0, t_off: 12_000, unit_scale: UNIT * 8, slots: [None, None, None, None, Some(mv.clone()), None, Some(fade)] },
+        ItemDef::Path { path: PathDef { contours: vec![star(16_000, 16_000, 15_000)] }, rule: 1, paint: WHITE, text: None, t_on: 2_000, t_off: 10_000, unit_scale: UNIT * 4, slots: [None, None, None, None, None, Some(mv), None] },
+    ];
+    s
+}
+
+/// The items of a scene whose windows meet `[a, b)`, with the groups that hold them,
+/// as a document from `a` to `b`: a piece (§3.11, P7). Text blocks no kept item names
+/// are dropped, and the rest renumbered in reading order.
+pub fn slice(s: &SceneDef, a: u32, b: u32) -> SceneDef {
+    let meets = |on: u32, off: u32| on < b && a < off;
+    let mut out = SceneDef { t0: a, dur: b - a, items: Vec::new(), ..s.clone() };
+    // Keep a group when it meets the window; keep a fill when it and every enclosing
+    // group meet it.
+    let mut keep_stack: Vec<bool> = Vec::new();
+    for it in &s.items {
+        let enclosing = keep_stack.iter().all(|k| *k);
+        match it {
+            ItemDef::Begin { t_on, t_off, .. } => {
+                let k = enclosing && meets(*t_on, *t_off);
+                keep_stack.push(k);
+                if k {
+                    out.items.push(it.clone());
+                }
+            }
+            ItemDef::End => {
+                if keep_stack.pop().unwrap_or(false) {
+                    out.items.push(it.clone());
+                }
+            }
+            ItemDef::Path { t_on, t_off, .. } | ItemDef::Run { t_on, t_off, .. } => {
+                if enclosing && meets(*t_on, *t_off) {
+                    out.items.push(it.clone());
+                }
+            }
+        }
+    }
+    // Blocks: keep those the kept items name, renumbered.
+    let mut used: Vec<bool> = vec![false; s.texts.len()];
+    for it in &out.items {
+        match it {
+            ItemDef::Run { text, .. } => used[*text as usize] = true,
+            ItemDef::Path { text: Some(t), .. } => used[*t as usize] = true,
+            _ => {}
+        }
+    }
+    let mut map = vec![0u16; s.texts.len()];
+    out.texts.clear();
+    for (i, t) in s.texts.iter().enumerate() {
+        if used[i] {
+            map[i] = out.texts.len() as u16;
+            out.texts.push(t.clone());
+        }
+    }
+    for it in out.items.iter_mut() {
+        match it {
+            ItemDef::Run { text, .. } => *text = map[*text as usize],
+            ItemDef::Path { text: Some(t), .. } => *t = map[*t as usize],
+            _ => {}
+        }
+    }
+    out
+}
+
+/// S1-mini: a short credit roll of bars and a run of glyphs, each line on screen for
+/// part of the document, under a group that fades in.
+pub fn s1_mini() -> SceneDef {
+    let frames = 30u32;
+    let end = frames * P25;
+    let mut s = SceneDef::new(TB, 0, end, 160, 90);
+    s.sizes = vec![(160, 90)];
+    s.rates = vec![(25, 1), (50, 1)];
+    s.sets = vec![inline(set_r().write())];
+    s.texts = vec![TextDef::new(3, "und", "A"), TextDef::new(3, "und", "B")];
+    let ty = TrackDef::linear(2, 0, 0, end, -512 * frames as i32);
+    let fade_in = TrackDef::linear(1, 0, 0, 4 * P25, 255);
+    let mut items = vec![ItemDef::Begin { clip: None, t_on: 0, t_off: end, tx: None, ty: None, op: Some(fade_in) }];
+    for i in 0..8u32 {
+        let (on, off) = (i * 3 * P25, (i * 3 + 14) * P25);
+        items.push(ItemDef::Path {
+            path: PathDef::rect(3_000 + 500 * (i as i16 % 3), 9_000 + 2_000 * i as i16, 30_000 - 900 * (i as i16 % 4), 10_200 + 2_000 * i as i16),
+            rule: 0,
+            paint: [RED, GREEN, BLUE, WHITE][i as usize % 4],
+            text: None,
+            t_on: on,
+            t_off: off.min(end),
+            unit_scale: UNIT,
+            slots: [None, None, None, None, None, Some(ty.clone()), None],
+        });
+    }
+    for (k, (on, off)) in [(0u32, 12 * P25), (14 * P25, end)].into_iter().enumerate() {
+        items.push(ItemDef::Run {
+            set: 0,
+            paint: WHITE,
+            text: k as u16,
+            t_on: on,
+            t_off: off,
+            unit_scale: UNIT * 3,
+            slots: [None, None, None, None, None, Some(ty.clone()), None],
+            glyphs: (0..6i32).map(|j| ((1 + j % 6) as u16, 4_000 + 4_000 * j, 9_000 + 18_000 * k as i32)).collect(),
+            clusters: vec![(6, 0, 1)],
+        });
+    }
+    items.push(ItemDef::End);
+    s.items = items;
+    s
+}
+
+pub fn vectors() -> Vec<Vector> {
+    let mut v = Vec::new();
+    let mut add = |g: &'static str, name: &str, s: &SceneDef, note: &str| v.push(Vector::wvg1(g, name, s.bytes(), note));
+    add("motion", "roll-integer", &roll(10, 512, 6), "a credit roll at 2 design pixels per frame, keys on frame ticks: frame k is frame 0 moved 2k pixels at the design size, 4k at twice it (P2): accepted");
+    add("motion", "roll-fractional", &roll(10, 384, 6), "the same roll at 1.5 design pixels per frame: no whole-pixel shift between frames: accepted");
+    add("motion", "lower-third", &lower_third(), "a lower third that slides in on an easing table, holds and fades out, as one group: accepted");
+    add("motion", "easing", &easing(), "one item per easing mode: hold, linear, a monotone table and a table that is not: accepted");
+    add("clock", "three-sizes-three-rates", &clock(), "one document at 1280x720, 1920x1080 and 3840x2160, and at 25, 30000/1001 and 60 fps: accepted");
+    let whole = s1_mini();
+    add("slicing", "whole", &whole, "S1-mini, a short roll of bars and runs under a group that fades in: accepted");
+    let cuts = [0u32, 9 * P25 + 1_234, 20 * P25, 30 * P25];
+    for (i, w) in cuts.windows(2).enumerate() {
+        add("slicing", &format!("piece-{i}"), &slice(&whole, w[0], w[1]), &format!("S1-mini from tick {} to {}: its frames equal the whole's at the same g (P7): accepted", w[0], w[1]));
+    }
+    v
+}
diff --git a/wai/wai-vector/src/vectors/raster.rs b/wai/wai-vector/src/vectors/raster.rs
new file mode 100644
index 000000000..c8230ea9b
--- /dev/null
+++ b/wai/wai-vector/src/vectors/raster.rs
@@ -0,0 +1,402 @@
+//! The raster groups (§3.5–§3.9): `flatten` (control points to vertices), `fills`
+//! (path fills under both rules), `runs` (glyph runs from a set drawn here from
+//! formulas) and `composite` (opacity, groups, clips and the fill order).
+
+use alloc::format;
+use alloc::string::String;
+use alloc::vec;
+use alloc::vec::Vec;
+
+use super::Vector;
+use super::canonical::{TB, inline};
+use super::sets::{notes, rect};
+use crate::geom::{self, Pt};
+use crate::json::{self, Value, int};
+use crate::scene::*;
+use crate::wos1::{Point, Wos1};
+
+/// One frame at 25 fps: the document is one frame long.
+pub const ONE: u32 = 4_800;
+pub const UNIT: u32 = 65_536;
+pub const WHITE: [u8; 4] = [255, 255, 255, 255];
+pub const RED: [u8; 4] = [220, 40, 40, 255];
+pub const GREEN: [u8; 4] = [40, 180, 80, 255];
+pub const BLUE: [u8; 4] = [40, 80, 220, 255];
+
+/// A one-frame document at its design size `dw × dh`, 25 fps.
+pub fn frame_doc(dw: u16, dh: u16) -> SceneDef {
+    let mut s = SceneDef::new(TB, 0, ONE, dw, dh);
+    s.sizes.push((dw, dh));
+    s.rates.push((25, 1));
+    s
+}
+
+pub fn path_item(path: PathDef, rule: u8, paint: [u8; 4], t_off: u32) -> ItemDef {
+    ItemDef::Path { path, rule, paint, text: None, t_on: 0, t_off, unit_scale: UNIT, slots: NO_SLOTS }
+}
+
+pub fn path_slots(path: PathDef, rule: u8, paint: [u8; 4], t_off: u32, slots: Slots) -> ItemDef {
+    ItemDef::Path { path, rule, paint, text: None, t_on: 0, t_off, unit_scale: UNIT, slots }
+}
+
+fn on(x: i16, y: i16) -> Point {
+    Point { x, y, tag: 0 }
+}
+
+/// A star of five points, self-intersecting, from a fixed table of (sin, cos) × 1000.
+pub fn star(cx: i32, cy: i32, r: i32) -> Vec<Point> {
+    const P: [(i32, i32); 5] = [(0, -1000), (951, -309), (588, 809), (-588, 809), (-951, -309)];
+    [0usize, 2, 4, 1, 3].iter().map(|&k| on((cx + P[k].0 * r / 1000) as i16, (cy + P[k].1 * r / 1000) as i16)).collect()
+}
+
+/// A random polygon of `n` points within a box, from a fixed xorshift sequence.
+fn polygon(seed: &mut u64, n: usize, x0: i32, y0: i32, span: i32) -> Vec<Point> {
+    (0..n)
+        .map(|_| {
+            *seed ^= *seed << 13;
+            *seed ^= *seed >> 7;
+            *seed ^= *seed << 17;
+            let x = x0 + (*seed % span as u64) as i32;
+            let y = y0 + ((*seed >> 24) % span as u64) as i32;
+            on(x as i16, y as i16)
+        })
+        .collect()
+}
+
+/// A zig-zag of `n` points between `y_top` and `y_bot`, its x stepping by `dx`: every
+/// segment, the closing one included when `n` is even, crosses every row between.
+pub fn comb(n: usize, x0: i32, dx: i32, y_top: i32, y_bot: i32) -> Vec<Point> {
+    (0..n).map(|i| on((x0 + dx * (i as i32 / 2)) as i16, if i % 2 == 0 { y_top } else { y_bot } as i16)).collect()
+}
+
+// ------------------------------------------------------------------ flatten
+
+fn curve_json(kind: &str, pts: &[Pt]) -> Value {
+    let mut a = vec![json::string(kind)];
+    for p in pts {
+        a.push(Value::Arr(vec![int(p[0]), int(p[1])]));
+    }
+    Value::Arr(a)
+}
+
+fn flatten_input() -> String {
+    const LO: i64 = -(1 << 22);
+    const HI: i64 = (1 << 22) - 1;
+    let mut c: Vec<Value> = Vec::with_capacity(32);
+    // The corners, where the levels are 9 and 10.
+    c.push(curve_json("q", &[[LO, LO], [HI, LO], [LO, HI]]));
+    c.push(curve_json("q", &[[HI, HI], [LO, HI], [HI, LO]]));
+    c.push(curve_json("c", &[[LO, LO], [HI, LO], [LO, HI], [HI, HI]]));
+    c.push(curve_json("c", &[[HI, LO], [LO, LO], [HI, HI], [LO, HI]]));
+    c.push(curve_json("c", &[[LO, LO], [HI, HI], [LO, LO], [HI, HI]]));
+    // The level boundaries: M = 64·4^n (level n) and one more (level n + 1).
+    for n in [0i64, 1, 4] {
+        let m = 64i64 << (2 * n);
+        c.push(curve_json("q", &[[0, 0], [0, 0], [0, m]]));
+        c.push(curve_json("q", &[[0, 0], [0, 0], [0, m + 1]]));
+        let mc = m / 3;
+        c.push(curve_json("c", &[[0, 0], [0, 0], [0, mc], [0, 2 * mc]]));
+        c.push(curve_json("c", &[[0, 0], [0, 0], [0, mc + 1], [0, 2 * mc + 2]]));
+    }
+    // Degenerate: every point equal; collinear; a control on an end point.
+    c.push(curve_json("q", &[[300, -700], [300, -700], [300, -700]]));
+    c.push(curve_json("c", &[[-5, -5], [-5, -5], [-5, -5], [-5, -5]]));
+    c.push(curve_json("q", &[[0, 0], [1000, 1000], [2000, 2000]]));
+    c.push(curve_json("c", &[[0, 0], [0, 0], [3000, 900], [3000, 900]]));
+    // Negative coordinates, where the floor and truncation differ.
+    c.push(curve_json("q", &[[-1000, -333], [-2001, 777], [-3, -5]]));
+    c.push(curve_json("c", &[[-777, -1], [-3000, -2999], [1234, -4321], [-1, -777]]));
+    let mut s = String::from("{\"curves\":");
+    s.push_str(&Value::Arr(c).text());
+    s.push_str(",\"op\":\"flatten\"}\n");
+    s
+}
+
+/// The expected file of a `flatten` input: each curve's level and vertices `V_1 …`.
+pub fn recompute_flatten(text: &str) -> Result<String, String> {
+    let v = json::parse(text).map_err(|e| format!("not JSON at {}", e.at))?;
+    let curves = v.get("curves").and_then(Value::as_arr).ok_or("curves")?;
+    let mut out = Vec::new();
+    for c in curves {
+        let a = c.as_arr().ok_or("a curve")?;
+        let kind = a.first().and_then(Value::as_str).ok_or("kind")?;
+        let pts: Vec<Pt> = a[1..]
+            .iter()
+            .map(|p| {
+                let p = p.as_arr().filter(|p| p.len() == 2).ok_or("a point")?;
+                let f = |i: usize| p[i].as_int().and_then(|x| i64::try_from(x).ok()).filter(|x| (-(1 << 22)..(1 << 22)).contains(x)).ok_or("a device coordinate");
+                Ok([f(0)?, f(1)?])
+            })
+            .collect::<Result<_, &str>>()?;
+        let mut verts = Vec::new();
+        let n = match (kind, pts.len()) {
+            ("q", 3) => {
+                geom::flatten_quad(pts[0], pts[1], pts[2], &mut verts);
+                geom::quad_level(pts[0], pts[1], pts[2])
+            }
+            ("c", 4) => {
+                geom::flatten_cubic(pts[0], pts[1], pts[2], pts[3], &mut verts);
+                geom::cubic_level(pts[0], pts[1], pts[2], pts[3])
+            }
+            _ => return Err(String::from("a curve is q with 3 points or c with 4")),
+        };
+        out.push(super::sorted(vec![
+            ("n", int(n)),
+            ("vertices", Value::Arr(verts.iter().map(|p| Value::Arr(vec![int(p[0]), int(p[1])])).collect())),
+        ]));
+    }
+    Ok(super::line(&super::sorted(vec![("op", json::string("flatten")), ("curves", Value::Arr(out))])))
+}
+
+// ------------------------------------------------------------------ the run set
+
+/// Set R, drawn here for the `runs` group, in outline units that are design subpixels
+/// at `unit_scale` 2^16: a half-pixel-and-a-half wide bar (1), a mark (2), a dot (3),
+/// a quadratic blob (4), a cubic blob (5), and a bar two pixels wide (6).
+pub fn set_r() -> Wos1 {
+    let q = |x: i16, y: i16| Point { x, y, tag: 1 };
+    let c = |x: i16, y: i16| Point { x, y, tag: 2 };
+    Wos1::from_outlines(
+        2048,
+        1,
+        &[
+            (1, vec![rect(0, 0, 384, -1024)]),
+            (2, vec![poly(&[(64, -1100), (320, -1100), (192, -1300)])]),
+            (3, vec![rect(0, 0, 512, -512)]),
+            (4, vec![vec![on(256, 0), q(512, 0), on(512, -256), q(512, -512), on(256, -512), q(0, -512), on(0, -256), q(0, 0)]]),
+            (5, vec![vec![on(0, 0), c(200, -900), c(500, 300), on(700, -700), on(700, 0)]]),
+            (6, vec![rect(0, 0, 512, -1024)]),
+        ],
+        &notes("synthetic-r"),
+    )
+}
+
+fn run_item(text: u16, glyphs: Vec<(u16, i32, i32)>, paint: [u8; 4]) -> ItemDef {
+    let n = glyphs.len() as u16;
+    ItemDef::Run { set: 0, paint, text, t_on: 0, t_off: ONE, unit_scale: UNIT, slots: NO_SLOTS, glyphs, clusters: vec![(n, 0, 1)] }
+}
+
+fn run_doc(dw: u16, dh: u16, runs: Vec<Vec<(u16, i32, i32)>>) -> SceneDef {
+    let mut s = frame_doc(dw, dh);
+    s.sets = vec![inline(set_r().write())];
+    s.texts = (0..runs.len()).map(|_| TextDef::new(3, "und", "A")).collect();
+    s.items = runs.into_iter().enumerate().map(|(i, g)| run_item(i as u16, g, WHITE)).collect();
+    s
+}
+
+// ------------------------------------------------------------------ the vectors
+
+pub fn vectors() -> Vec<Vector> {
+    let mut v = Vec::new();
+    v.push(Vector::input("flatten", "curves", flatten_input(), "quadratics and cubics at the corners of the device range (levels 9 and 10), at each level boundary, degenerate, and at negative coordinates: each curve's level and vertices"));
+    v.extend(fills());
+    v.extend(runs());
+    v.extend(composite());
+    v
+}
+
+/// A pair of documents, a fill and the same fill with every contour reversed, whose
+/// frames are equal (§3.11, P1).
+fn pair(v: &mut Vec<Vector>, name: &str, dw: u16, dh: u16, contours: Vec<Vec<Point>>, rule: u8, note: &str) {
+    let mut s = frame_doc(dw, dh);
+    let p = PathDef { contours };
+    s.items = vec![path_item(p.clone(), rule, WHITE, ONE)];
+    v.push(Vector::wvg1("fills", name, s.bytes(), &format!("{note}: accepted")));
+    s.items = vec![path_item(p.reversed(), rule, WHITE, ONE)];
+    v.push(Vector::wvg1("fills", &format!("{name}-reversed"), s.bytes(), &format!("{note}, every contour reversed: the same frames (P1): accepted")));
+}
+
+fn fills() -> Vec<Vector> {
+    let g = "fills";
+    let mut v = Vec::new();
+    pair(&mut v, "rect", 48, 32, vec![rect(1_000, 1_300, 9_000, 7_000)], 0, "a rectangle with every edge inside a pixel");
+    pair(&mut v, "hole", 48, 32, vec![rect(600, 600, 11_000, 7_500), crate::scene::reverse_contour(&rect(3_000, 2_000, 8_000, 5_900))], 0, "an outer contour and a hole of the other orientation, non-zero");
+    pair(&mut v, "star-nonzero", 48, 48, vec![star(6_000, 6_000, 5_500)], 0, "a self-intersecting star under non-zero: its centre covered");
+    pair(&mut v, "star-evenodd", 48, 48, vec![star(6_000, 6_000, 5_500)], 1, "the star under even-odd: its centre a hole");
+    let mut seed = 0xD7_0003_F111u64;
+    for i in 0..4 {
+        let cs: Vec<Vec<Point>> = (0..1 + i % 3).map(|_| polygon(&mut seed, 3 + 2 * i, -800, -600, 13_000)).collect();
+        pair(&mut v, &format!("random-{i}"), 48, 40, cs, (i % 2) as u8, "random polygons, partly off the canvas");
+    }
+    let curves = vec![
+        vec![on(500, 500), Point { x: 9_000, y: 200, tag: 1 }, on(9_500, 6_000), Point { x: 3_000, y: 9_000, tag: 2 }, Point { x: -2_000, y: 4_000, tag: 2 }],
+    ];
+    pair(&mut v, "curves", 40, 40, curves, 0, "a contour of a quadratic, a cubic and its closing line");
+
+    let mut add = |name: &str, s: &SceneDef, note: &str| v.push(Vector::wvg1(g, name, s.bytes(), note));
+    let mut s = frame_doc(32, 16);
+    s.items = vec![
+        path_item(PathDef { contours: vec![poly(&[(256, 256), (7_000, 300), (256, 257)])] }, 0, WHITE, ONE),
+        path_item(PathDef { contours: vec![poly(&[(1_000, 512), (1_001, 3_000), (1_000, 3_500)])] }, 0, RED, ONE),
+        path_item(PathDef { contours: vec![poly(&[(2_000, 1_000), (2_256, 1_000), (2_128, 3_800)])] }, 1, GREEN, ONE),
+    ];
+    add("slivers", &s, "slivers one subpixel across, near-horizontal and near-vertical: accepted");
+    let mut s = frame_doc(32, 16);
+    s.items = vec![
+        path_item(PathDef::rect(512, 256, 2_560, 1_536), 0, WHITE, ONE),
+        path_item(PathDef::rect(3_072 + 1, 256 + 1, 4_096 - 1, 3_072 - 1), 0, RED, ONE),
+        path_item(PathDef::rect(5_120, 0, 5_376, 4_096), 1, GREEN, ONE),
+    ];
+    add("pixel-edges", &s, "edges exactly on pixel boundaries (255 inside, 0 outside) and one subpixel inside them: accepted");
+    let mut s = frame_doc(24, 16);
+    s.items = vec![
+        path_item(PathDef { contours: vec![poly(&[(-20_000, 300), (2_000, 900), (1_500, 3_500), (-9_000, 3_800)])] }, 0, WHITE, ONE),
+        path_item(PathDef { contours: vec![poly(&[(-30_000, 1_000), (-25_000, 1_000), (-26_000, 3_000)])] }, 0, RED, ONE),
+        path_item(PathDef { contours: vec![poly(&[(1_000, -3_000), (4_000, 2_000), (3_000, -500)])] }, 1, GREEN, ONE),
+    ];
+    add("left-fold", &s, "contours crossing the left edge, one wholly left of the canvas (it draws nothing), and one crossing the top: accepted");
+    let (w, h) = (16i32 * 256, 16i32 * 256);
+    let mut s = frame_doc(16, 16);
+    let sq = |x: i32, y: i32| PathDef::rect(x as i16, y as i16, (x + 512) as i16, (y + 512) as i16);
+    s.items = vec![
+        path_item(sq(-511, 1_000), 0, WHITE, ONE),
+        path_item(sq(-512, 2_000), 0, RED, ONE),
+        path_item(sq(w - 1, 1_000), 0, WHITE, ONE),
+        path_item(sq(w, 2_000), 0, RED, ONE),
+        path_item(sq(1_000, -511), 0, WHITE, ONE),
+        path_item(sq(2_000, -512), 0, RED, ONE),
+        path_item(sq(1_000, h - 1), 0, GREEN, ONE),
+        path_item(sq(2_000, h), 0, BLUE, ONE),
+    ];
+    add("canvas-edges", &s, "squares one subpixel inside each edge of the canvas and squares just outside it: accepted");
+    let mut s = frame_doc(24, 16);
+    s.items = vec![path_slots(
+        PathDef { contours: vec![poly(&[(0, 0), (6_000, 1_000), (2_000, 5_000)]), crate::scene::reverse_contour(&poly(&[(1_000, 1_000), (3_000, 1_500), (1_500, 3_000)]))] },
+        0,
+        WHITE,
+        ONE,
+        [None, None, None, None, Some(TrackDef::constant(2, -1_331)), Some(TrackDef::constant(2, -777)), None],
+    )];
+    add("negative", &s, "a fill placed at negative coordinates, its crossings floors of negative rationals: accepted");
+    let mut s = frame_doc(16, 16);
+    s.items = vec![path_item(PathDef { contours: vec![poly(&[(0, 0), (512, 3), (0, 3)])] }, 0, WHITE, ONE)];
+    add("triangle-af5", &s, "the triangle (0,0)-(512,3)-(0,3): |v| = 1280 and 512 in its two pixels, the snapped polygon's area, not the outline's: accepted");
+    let mut s = frame_doc(64, 16);
+    s.items = vec![path_item(PathDef { contours: vec![comb(16_382, 0, 1, 256 * 2, 256 * 3)] }, 0, WHITE, ONE)];
+    add("comb-16382", &s, "a comb of 16,382 points whose every segment crosses row 2: D_r = 256 p, the bound attained: accepted");
+    let mut c = comb(16_382, 0, 1, 256 * 2, 256 * 3);
+    c.push(on(0, 256 * 3));
+    s.items = vec![path_item(PathDef { contours: vec![c] }, 1, WHITE, ONE)];
+    add("points-16383", &s, "a path of 16,383 points, the cap, under even-odd: accepted");
+    let mut s = frame_doc(16, 16);
+    s.items = vec![path_item(PathDef { contours: vec![rect(256, 256, 1_152, 1_536), crate::scene::reverse_contour(&rect(1_152, 256, 2_048, 1_536))] }, 0, WHITE, ONE)];
+    add("seam-nonzero", &s, "two abutting rectangles of opposite orientation in one non-zero fill: the seam's pixel column reads 0 (a documented cost, §3.13): accepted");
+    s.items = vec![path_item(PathDef { contours: vec![rect(384, 384, 2_432, 1_664), rect(384, 384, 2_432, 1_664)] }, 1, WHITE, ONE)];
+    add("fringe-evenodd", &s, "a contour duplicated under even-odd: the interior 0 and the half-covered edge pixels 255 (a documented cost, §3.13): accepted");
+    v
+}
+
+fn runs() -> Vec<Vector> {
+    let g = "runs";
+    let mut v = Vec::new();
+    let mut add = |name: &str, s: &SceneDef, note: &str| v.push(Vector::wvg1(g, name, s.bytes(), note));
+    add("abutting", &run_doc(16, 16, vec![vec![(1, 0, 1_536), (1, 384, 1_536), (1, 768, 1_536)]]), "three glyphs abutting mid-pixel: the seam pixels read 255 (the glyph-wise union): accepted");
+    add("overlapping", &run_doc(16, 16, vec![vec![(1, 100, 1_536), (1, 300, 1_536), (4, 900, 1_536), (4, 1_100, 1_536)]]), "glyphs that overlap: the partly covered edge pixels of the overlap over-cover (the knot, §3.13): accepted");
+    add("marks", &run_doc(16, 16, vec![vec![(1, 256, 1_536), (2, 256, 1_536), (5, 1_024, 1_536), (2, 1_100, 1_400)]]), "marks overlapping their bases: accepted");
+    let many: Vec<(u16, i32, i32)> = (0..4_096).map(|i| ((3 + (i % 3)) as u16, 600 * (i % 64) + 37 * (i / 64 % 7), 700 + 300 * (i / 64))).collect();
+    add("run-4096", &run_doc(160, 80, vec![many]), "a run of 4,096 glyphs, the cap: accepted");
+    let phases: Vec<(u16, i32, i32)> = (0..256).map(|k| (3u16, 4 * 256 * (k % 64) + k, 1_024 + 1_024 * (k / 64))).collect();
+    add("phases", &run_doc(256, 20, vec![phases]), "one glyph at all 256 subpixel phases of the x axis: accepted");
+    let mut s = run_doc(16, 16, vec![vec![(1, 0, 1_536)], vec![(1, 384, 1_536)]]);
+    s.texts = vec![TextDef::new(3, "und", "A"), TextDef::new(3, "und", "B")];
+    add("two-runs", &s, "two runs that abut mid-pixel: across runs the fills composite by source-over, and the seam returns: accepted");
+    v
+}
+
+/// J3's discriminating triples: `(paint, opacity, coverage)` where the frozen order
+/// `div255(div255(p·o)·α)` and the other order `div255(p·div255(α·o))` differ.
+pub fn j3_triples() -> Vec<(u8, u8, u8)> {
+    use crate::arith::div255;
+    let mut out = Vec::new();
+    for (p, o, a) in [(255u32, 128u32, 255u32), (200, 101, 77), (77, 200, 101), (13, 250, 129), (255, 3, 255), (129, 129, 129), (31, 63, 127), (254, 2, 254)] {
+        let frozen = div255(div255(p * o) * a);
+        let other = div255(p * div255(a * o));
+        if frozen != other {
+            out.push((p as u8, o as u8, a as u8));
+        }
+    }
+    // Fill to eight from a fixed walk over the triples.
+    let mut k = 1u32;
+    while out.len() < 8 {
+        k = k.wrapping_mul(2_654_435_761).wrapping_add(12_345);
+        let (p, o, a) = (k % 256, (k >> 8) % 256, (k >> 16) % 256);
+        if div255(div255(p * o) * a) != div255(p * div255(a * o)) {
+            out.push((p as u8, o as u8, a as u8));
+        }
+    }
+    out
+}
+
+/// The row height, in subpixels, of a full-width box whose coverage is `a`: `α` of a
+/// pixel covered over `h` of its 256 rows is `⌊(255·h + 128)/256⌋`.
+pub fn height_for_alpha(a: u8) -> i16 {
+    (0..=256i32).find(|&h| (255 * h + 128) / 256 == i32::from(a)).expect("every alpha is reached") as i16
+}
+
+fn composite() -> Vec<Vector> {
+    let g = "composite";
+    let mut v = Vec::new();
+    let mut add = |name: &str, s: &SceneDef, note: &str| v.push(Vector::wvg1(g, name, s.bytes(), note));
+    let op = |o: i32| Some(TrackDef::constant(1, o));
+    let mut s = frame_doc(24, 16);
+    s.items = vec![
+        path_slots(PathDef::rect(512, 512, 4_000, 3_000), 0, [180, 20, 20, 200], ONE, [None, None, None, None, None, None, op(255)]),
+        path_slots(PathDef::rect(2_000, 1_500, 5_500, 3_700), 0, [20, 140, 60, 160], ONE, [None, None, None, None, None, None, op(170)]),
+        path_slots(PathDef { contours: vec![star(3_000, 2_000, 1_900)] }, 1, [10, 30, 200, 255], ONE, [None, None, None, None, None, None, op(90)]),
+    ];
+    add("overlap-opacity", &s, "overlapping fills, premultiplied paints, under opacity: accepted");
+    let mut s = frame_doc(32, 24);
+    let gr = |clip: Option<(PathDef, u8, u32)>, tx: i32, o: i32| ItemDef::Begin { clip, t_on: 0, t_off: ONE, tx: Some(TrackDef::constant(2, tx)), ty: None, op: Some(TrackDef::constant(1, o)) };
+    s.items = vec![
+        path_item(PathDef::rect(0, 0, 8_192, 6_144), 0, [30, 30, 30, 255], ONE),
+        gr(None, 256, 230),
+        gr(Some((PathDef::rect(0, 0, 6_000, 5_000), 0, UNIT)), 128, 200),
+        gr(Some((PathDef { contours: vec![star(3_000, 2_500, 2_400)] }, 1, UNIT)), 64, 180),
+        gr(None, 32, 160),
+        path_item(PathDef::rect(256, 256, 7_000, 5_500), 0, RED, ONE),
+        path_item(PathDef::rect(2_000, 1_000, 5_000, 4_000), 0, GREEN, ONE),
+        ItemDef::End,
+        ItemDef::End,
+        path_item(PathDef::rect(4_000, 300, 6_000, 2_000), 0, BLUE, ONE),
+        ItemDef::End,
+        ItemDef::End,
+    ];
+    add("groups-depth-4", &s, "isolated groups nested four deep, with translations, opacities and clips under both rules: accepted");
+    for (rule, name) in [(0u8, "clip-nonzero"), (1, "clip-evenodd")] {
+        let mut s = frame_doc(24, 24);
+        s.items = vec![
+            ItemDef::Begin { clip: Some((PathDef { contours: vec![star(3_072, 3_072, 2_900)] }, rule, UNIT)), t_on: 0, t_off: ONE, tx: None, ty: None, op: None },
+            path_item(PathDef::rect(0, 0, 6_144, 6_144), 0, RED, ONE),
+            ItemDef::End,
+        ];
+        add(name, &s, &format!("a group clipped by a self-intersecting star under the {} rule: accepted", if rule == 0 { "non-zero" } else { "even-odd" }));
+    }
+    let triples = j3_triples();
+    let mut s = frame_doc(triples.len() as u16 * 2, 16);
+    s.items = triples
+        .iter()
+        .enumerate()
+        .map(|(i, &(p, o, a))| {
+            let x = (512 * i) as i16;
+            path_slots(PathDef::rect(x, 0, x + 256, height_for_alpha(a)), 0, [p, p, p, p], ONE, [None, None, None, None, None, None, op(i32::from(o))])
+        })
+        .collect();
+    add("j3-triples", &s, "each pixel a (paint, opacity, coverage) triple on which the two fill orders differ: the frozen order's bytes: accepted");
+    let mut s = frame_doc(16, 16);
+    s.items = vec![
+        ItemDef::Begin { clip: None, t_on: 0, t_off: ONE, tx: None, ty: None, op: op(128) },
+        path_item(PathDef::rect(256, 256, 2_560, 1_792), 0, RED, ONE),
+        path_item(PathDef::rect(1_280, 512, 3_584, 1_792), 0, GREEN, ONE),
+        ItemDef::End,
+    ];
+    add("isolation", &s, "a group at opacity 128 over two overlapping opaque fills: the overlap is the top fill at half, the group isolated: accepted");
+    let mut s = frame_doc(16, 16);
+    s.items = vec![
+        path_item(PathDef::rect(0, 0, 4_096, 2_048), 0, [0, 0, 128, 128], ONE),
+        ItemDef::Begin { clip: Some((PathDef::rect(500, 300, 3_000, 1_700), 0, UNIT)), t_on: 0, t_off: ONE, tx: Some(TrackDef::constant(2, 300)), ty: None, op: op(200) },
+        path_item(PathDef::rect(0, 0, 3_500, 1_900), 0, [100, 50, 0, 150], ONE),
+        ItemDef::End,
+    ];
+    add("group-pop", &s, "a translated group with a clip and an opacity popped over a translucent background: accepted");
+    v
+}
diff --git a/wai/wai-vector/tests/corpus.rs b/wai/wai-vector/tests/corpus.rs
index d9c672a30..f9edd4424 100644
--- a/wai/wai-vector/tests/corpus.rs
+++ b/wai/wai-vector/tests/corpus.rs
@@ -39,7 +39,7 @@ fn every_expected_file_is_recomputed_from_its_vector() {
         for f in files {
             let name = f.file_stem().unwrap().to_string_lossy().into_owned();
             let ext = f.extension().unwrap().to_string_lossy().into_owned();
-            if name == "index" || (ext == "json" && group != "arith") {
+            if name == "index" || (ext == "json" && !vectors::INPUT_GROUPS.contains(&group.as_str())) {
                 continue;
             }
             let got = vectors::recompute(&group, &ext, &std::fs::read(&f).unwrap(), &mut store).unwrap();
diff --git a/wai/wai-vector/tests/fuzz_smoke.rs b/wai/wai-vector/tests/fuzz_smoke.rs
index d104e6980..3b8e20635 100644
--- a/wai/wai-vector/tests/fuzz_smoke.rs
+++ b/wai/wai-vector/tests/fuzz_smoke.rs
@@ -1,6 +1,7 @@
-//! A deterministic, corpus-seeded fuzz of the `WVG1` and `WOS1` parsers (§4.7 of the
-//! design; §2.7): no input panics, and every input accepted writes back to its own
-//! bytes. Seeds: every vector of the corpus and the files under `fuzz/seeds/`.
+//! A deterministic, corpus-seeded fuzz of the `WVG1` and `WOS1` parsers (§2.7): no
+//! input panics, every input accepted writes back to its own bytes, and an accepted
+//! payload of small cost renders its first frame. Seeds: every vector of the corpus
+//! and the files under `fuzz/seeds/`.
 //!
 //! `WAI_VECTOR_FUZZ_ITERS` sets the mutations per seed (default 40).
 
@@ -79,7 +80,7 @@ fn fuzz_smoke() {
     }
     let mut store = corpus_store();
     let mut r = Rng(0x5EED_0FD7_0002);
-    let (mut runs, mut accepted) = (0usize, 0usize);
+    let (mut runs, mut accepted, mut rendered) = (0usize, 0usize, 0usize);
     for (is_wos1, seed) in &seeds {
         for _ in 0..iters {
             let input = mutate(seed, &mut r);
@@ -87,7 +88,20 @@ fn fuzz_smoke() {
                 if *is_wos1 {
                     wos1::parse(&input).ok().map(|w| w.write())
                 } else {
-                    wvg1::load(&input, &mut store).ok().map(|l| l.doc.write())
+                    wvg1::load(&input, &mut store).ok().map(|l| {
+                        // An accepted payload renders, as a sink with a budget would: the
+                        // first frame at the first size, when that size's cost is small.
+                        let d = &l.doc;
+                        let p = d.rates[0].ticks_per_frame(d.header.tb);
+                        if let Some(g) = wai_vector::clock::frames(d.header.t0, d.header.dur, p).next()
+                            && l.costs[0] <= 1 << 22
+                        {
+                            let px = wai_vector::frame::render(&l, 0, 0, g).expect("a frame in range renders");
+                            assert_eq!(px.len(), 4 * usize::from(d.sizes[0].w) * usize::from(d.sizes[0].h));
+                            rendered += 1;
+                        }
+                        l.doc.write()
+                    })
                 }
             }));
             let out = ok.unwrap_or_else(|_| panic!("a parser panicked on input {}", wai_vector::json::hex(&input)));
@@ -98,6 +112,6 @@ fn fuzz_smoke() {
             runs += 1;
         }
     }
-    eprintln!("fuzz smoke: {runs} inputs from {} seeds, {accepted} accepted", seeds.len());
+    eprintln!("fuzz smoke: {runs} inputs from {} seeds, {accepted} accepted, {rendered} rendered", seeds.len());
     assert!(runs >= seeds.len() * iters);
 }
diff --git a/wai/wai-vector/tests/raster.rs b/wai/wai-vector/tests/raster.rs
new file mode 100644
index 000000000..86bd5e04a
--- /dev/null
+++ b/wai/wai-vector/tests/raster.rs
@@ -0,0 +1,242 @@
+//! The raster stage family RS1–RS9 and the frame procedure (§3.5–§3.11): the values
+//! and properties each test names, on the vectors of `vector-conformance/` and on
+//! shapes built here. Reference values for the negative-coordinate and fold cases come
+//! from review A's independent implementation of §3.3–§3.8.
+
+use wai_vector::arith::div255;
+use wai_vector::cover::{self, Cov};
+use wai_vector::frame::{render, render_request};
+use wai_vector::geom::Pt;
+use wai_vector::refuse::Code;
+use wai_vector::vectors::raster::{comb, height_for_alpha, j3_triples};
+use wai_vector::vectors::{corpus_store, find};
+use wai_vector::wvg1::{self, Loaded};
+
+fn load(group: &str, name: &str) -> Loaded {
+    let v = find(group, name).unwrap_or_else(|| panic!("no vector {group}/{name}"));
+    wvg1::load(&v.bytes, &mut corpus_store()).unwrap_or_else(|e| panic!("{group}/{name}: {e:?}"))
+}
+
+fn closed(pts: &[(i64, i64)]) -> Vec<Pt> {
+    let mut v: Vec<Pt> = pts.iter().map(|&(x, y)| [x, y]).collect();
+    v.push(v[0]);
+    v
+}
+
+fn dense(c: &Cov, w: i64, h: i64) -> Vec<Vec<i32>> {
+    (0..h).map(|r| (0..w).map(|x| c.at(x, r)).collect()).collect()
+}
+
+/// Rows and cells at negative coordinates: the crossings are floors of negative
+/// rationals. The values are review A's `core.py` on the same polygons.
+#[test]
+fn rows_and_cells_at_negative_coordinates() {
+    let a = closed(&[(-700, -300), (900, 200), (300, 1100), (-1000, 800)]);
+    let want_a = vec![
+        vec![-131072, -111416, -70656, -18200, 0],
+        vec![-131072, -131072, -122332, -13254, 0],
+        vec![-131072, -131072, -48384, 0, 0],
+        vec![-131072, -91706, -117, 0, 0],
+        vec![-18176, -10004, 0, 0, 0],
+    ];
+    assert_eq!(dense(&cover::accumulate(&[a], 5, 5, 4), 5, 5), want_a);
+    let c = closed(&[(-1500, -1300), (700, -200), (-301, 1333)]);
+    let want_c = vec![vec![-131072, -112482, -4959, 0], vec![-130379, -32558, 0, 0], vec![-77312, 0, 0, 0], vec![-6834, 0, 0, 0], vec![0; 4], vec![0; 4]];
+    assert_eq!(dense(&cover::accumulate(&[c], 4, 6, 3), 4, 6), want_c);
+}
+
+/// The left fold: a fill crossing the left edge has, on every canvas pixel, the
+/// values of the same fill moved 8 pixels right onto a wider canvas, unclipped.
+#[test]
+fn the_left_fold() {
+    let d = [(-1800, 100), (600, 350), (200, 900), (-2600, 700)];
+    let folded = cover::accumulate(&[closed(&d)], 4, 4, 4);
+    let moved: Vec<(i64, i64)> = d.iter().map(|&(x, y)| (x + 8 * 256, y)).collect();
+    let wide = cover::accumulate(&[closed(&moved)], 12, 4, 4);
+    for r in 0..4 {
+        for c in 0..4 {
+            assert_eq!(folded.at(c, r), wide.at(c + 8, r), "pixel ({c}, {r})");
+        }
+    }
+    // review A's core.py on the same polygon.
+    assert_eq!(dense(&folded, 4, 4), vec![vec![0, 0, 0, 0], vec![-108288, -93460, -11440, 0], vec![-131072, -68096, 0, 0], vec![-60272, -2200, 0, 0]]);
+    // A contour wholly left of the canvas folds to zero sums: it draws nothing (P5).
+    let left = cover::accumulate(&[closed(&[(-30_000, 1_000), (-25_000, 1_000), (-26_000, 3_000)])], 4, 4, 3);
+    assert!(left.v.iter().all(|&x| x == 0));
+}
+
+/// A-F5's triangle pins `v_k`: the snapped polygon's area, `|v|` = 1280 and 512 in its
+/// two pixels, not the outline's (1152 and 384).
+#[test]
+fn triangle_pins_v_to_the_snapped_polygon() {
+    let t = cover::accumulate(&[closed(&[(0, 0), (512, 3), (0, 3)])], 4, 1, 3);
+    let v = [t.at(0, 0).abs(), t.at(1, 0).abs()];
+    assert_eq!(v, [1280, 512]);
+    assert_ne!(v, [1152, 384], "an exact-area value");
+    // The vector renders the same: alpha 2 and 1 in a white fill.
+    let l = load("fills", "triangle-af5");
+    let px = render(&l, 0, 0, 0).unwrap();
+    assert_eq!(&px[0..8], &[2, 2, 2, 2, 1, 1, 1, 1]);
+}
+
+/// The glyph-wise union: three glyphs of one run abutting mid-pixel leave no seam; two
+/// runs abutting composite by source-over and do.
+#[test]
+fn abutting_run_seam_pixel_is_255() {
+    let l = load("runs", "abutting");
+    let px = render(&l, 0, 0, 0).unwrap();
+    let w = 16;
+    // Glyph 1 spans x [0, 384) and y [512, 1536): rows 2..=5. The glyphs at 0, 384 and
+    // 768 meet mid-pixel at x = 384 (column 1); the last ends at 1152, half of column 4.
+    for r in 2..6 {
+        let at = 4 * (r * w + 1);
+        assert_eq!(&px[at..at + 4], &[255, 255, 255, 255], "the seam at (1, {r})");
+        let at = 4 * (r * w + 4);
+        assert_eq!(&px[at..at + 4], &[128, 128, 128, 128], "half of (4, {r})");
+    }
+    // The same two glyphs in two runs: source-over at the seam, 128 + div255(128·127).
+    let l = load("runs", "two-runs");
+    let px = render(&l, 0, 0, 0).unwrap();
+    let at = 4 * (2 * w + 1);
+    let over = 128 + div255(128 * 127) as u8;
+    assert_eq!(&px[at..at + 4], &[over; 4], "across runs the seam returns");
+    assert!(over < 255);
+}
+
+/// J3's discriminating triples: each pixel has the frozen fill order's bytes,
+/// `div255(div255(p·o)·α)`, which the other order does not give.
+#[test]
+fn j3_triples_and_group_isolation() {
+    let l = load("composite", "j3-triples");
+    let px = render(&l, 0, 0, 0).unwrap();
+    for (i, (p, o, a)) in j3_triples().into_iter().enumerate() {
+        assert!(height_for_alpha(a) > 0);
+        let frozen = div255(div255(u32::from(p) * u32::from(o)) * u32::from(a)) as u8;
+        let other = div255(u32::from(p) * div255(u32::from(a) * u32::from(o))) as u8;
+        assert_ne!(frozen, other);
+        let at = 4 * (2 * i);
+        assert_eq!(&px[at..at + 4], &[frozen; 4], "triple {i}: ({p}, {o}, {a})");
+    }
+    // Isolation: the overlap of two opaque fills in a group at 128 is the top fill at
+    // half, div255(c·128), the group composited as one layer.
+    let l = load("composite", "isolation");
+    let px = render(&l, 0, 0, 0).unwrap();
+    let at = 4 * (16 * 3 + 7);
+    let green = [40u32, 180, 80, 255].map(|c| div255(c * 128) as u8);
+    assert_eq!(&px[at..at + 4], &green);
+}
+
+/// P1: reversing every contour of a fill changes no byte of any frame.
+#[test]
+fn whole_fill_reversal_changes_nothing() {
+    let mut n = 0;
+    for name in ["rect", "hole", "star-nonzero", "star-evenodd", "random-0", "random-1", "random-2", "random-3", "curves"] {
+        let (a, b) = (load("fills", name), load("fills", &format!("{name}-reversed")));
+        assert_ne!(a.doc.write(), b.doc.write());
+        for z in 0..a.doc.sizes.len() {
+            assert_eq!(render(&a, z, 0, 0).unwrap(), render(&b, z, 0, 0).unwrap(), "{name}");
+            n += 1;
+        }
+    }
+    assert_eq!(n, 9);
+}
+
+/// P2: a roll at an integer speed with keys on frame ticks: frame k is frame 0 moved
+/// up 2k pixels at the design size and 4k at twice it.
+#[test]
+fn integer_speed_roll_shifts_whole_pixels() {
+    let l = load("motion", "roll-integer");
+    for (z, step) in [(0usize, 2usize), (1, 4)] {
+        let (w, h) = (l.doc.sizes[z].w as usize, l.doc.sizes[z].h as usize);
+        let f0 = render(&l, z, 0, 0).unwrap();
+        for k in 1..10u64 {
+            let fk = render(&l, z, 0, k).unwrap();
+            let s = step * k as usize;
+            for r in 0..h {
+                let want: &[u8] = if r + s < h { &f0[4 * w * (r + s)..4 * w * (r + s + 1)] } else { &[0u8; 0] };
+                let got = &fk[4 * w * r..4 * w * (r + 1)];
+                if want.is_empty() {
+                    assert!(got.iter().all(|&x| x == 0), "size {z}, frame {k}, row {r}: below the moved content");
+                } else {
+                    assert_eq!(got, want, "size {z}, frame {k}, row {r}");
+                }
+            }
+        }
+    }
+}
+
+/// P7: each piece's frames equal the whole's at the same frame number.
+#[test]
+fn slicing_piece_frames_equal_the_whole() {
+    let whole = load("slicing", "whole");
+    let mut n = 0;
+    for i in 0..3 {
+        let p = load("slicing", &format!("piece-{i}"));
+        for (r, rate) in p.doc.rates.iter().enumerate() {
+            let ticks = rate.ticks_per_frame(p.doc.header.tb);
+            for g in wai_vector::clock::frames(p.doc.header.t0, p.doc.header.dur, ticks) {
+                assert_eq!(render(&p, 0, r, g).unwrap(), render(&whole, 0, r, g).unwrap(), "piece {i}, rate {r}, frame {g}");
+                n += 1;
+            }
+        }
+    }
+    assert_eq!(n, 90);
+}
+
+/// §3.7: the comb of 16,382 points attains `D_r = 256·p`, and renders with every
+/// value in `i32` (a debug build checks each addition).
+#[test]
+fn the_comb_attains_the_density_bound() {
+    let pts: Vec<Pt> = comb(16_382, 0, 1, 512, 768).iter().map(|p| [i64::from(p.x), i64::from(p.y)]).chain(std::iter::once([0, 512])).collect();
+    let d = cover::row_density(std::slice::from_ref(&pts), 0, 15);
+    assert_eq!(d[2], 256 * 16_382);
+    assert_eq!(d.iter().copied().max(), Some(256 * 16_382));
+    let c = cover::accumulate(&[pts], 64, 16, 16_382);
+    assert!(c.v.iter().all(|&x| x.unsigned_abs() <= 512 * 256 * 16_382));
+    let l = load("fills", "comb-16382");
+    render(&l, 0, 0, 0).unwrap();
+    let l = load("fills", "points-16383");
+    render(&l, 0, 0, 0).unwrap();
+}
+
+/// The density assertion is live: a comb of 16,384 points, built here past the cap a
+/// payload enforces, attains `D_r = 2^22 > 2^22 − 256`, and a debug build stops it.
+#[cfg(debug_assertions)]
+#[test]
+#[should_panic(expected = "D_r = 4194304")]
+fn the_density_assertion_fires_past_the_cap() {
+    let pts: Vec<Pt> = comb(16_384, 0, 1, 512, 768).iter().map(|p| [i64::from(p.x), i64::from(p.y)]).chain(std::iter::once([0, 512])).collect();
+    cover::accumulate(&[pts], 64, 16, 16_384);
+}
+
+/// The render request errors, and the frame range by division.
+#[test]
+fn render_requests() {
+    let l = load("motion", "roll-integer");
+    assert!(render_request(&l, 160, 90, 25, 1, 0).is_ok());
+    assert_eq!(render_request(&l, 161, 90, 25, 1, 0).unwrap_err().code, Code::SizeUnlisted);
+    assert_eq!(render_request(&l, 160, 90, 30, 1, 0).unwrap_err().code, Code::RateUnlisted);
+    assert_eq!(render_request(&l, 160, 90, 25, 1, 10).unwrap_err().code, Code::FrameRange);
+    assert_eq!(render_request(&l, 160, 90, 25, 1, u64::MAX).unwrap_err().code, Code::FrameRange);
+}
+
+/// RS9 and P4: every rendered pixel has `R, G, B ≤ A`, and the straight-alpha view is
+/// `R_rat(255·c, A)`.
+#[test]
+fn premultiplied_closure_and_the_straight_view() {
+    for (g, n) in [("composite", "groups-depth-4"), ("composite", "overlap-opacity"), ("composite", "group-pop"), ("motion", "lower-third")] {
+        let l = load(g, n);
+        let px = render(&l, 0, 0, 0).unwrap();
+        assert!(px.as_chunks::<4>().0.iter().all(|p| p[0] <= p[3] && p[1] <= p[3] && p[2] <= p[3]), "{n}");
+        let s = wai_vector::paint::unpremul_buffer(&px);
+        for (p, q) in px.as_chunks::<4>().0.iter().zip(s.as_chunks::<4>().0) {
+            if p[3] == 0 {
+                assert_eq!(q, &[0, 0, 0, 0]);
+            } else {
+                for ch in 0..3 {
+                    assert_eq!(i64::from(q[ch]), wai_vector::arith::r_rat(255 * i64::from(p[ch]), i64::from(p[3])));
+                }
+            }
+        }
+    }
+}
diff --git a/wai/wai-vector/wasm/verify.mjs b/wai/wai-vector/wasm/verify.mjs
index c900e8931..8369c2bc8 100644
--- a/wai/wai-vector/wasm/verify.mjs
+++ b/wai/wai-vector/wasm/verify.mjs
@@ -36,7 +36,7 @@ for (const group of readdirSync(join(root, 'vectors')).sort()) {
   for (const f of readdirSync(join(root, 'vectors', group)).sort()) {
     const dot = f.lastIndexOf('.');
     const name = f.slice(0, dot), ext = f.slice(dot + 1);
-    if (name === 'index' || (ext === 'json' && group !== 'arith')) continue;
+    if (name === 'index' || (ext === 'json' && !['arith', 'flatten'].includes(group))) continue;
     const data = readFileSync(join(root, 'vectors', group, f));
     const [g, e] = [enc.encode(group), enc.encode(ext)];
     const [pg, pe, pd] = [put(g), put(e), put(data)];