Push 3 ratify: extend the slur-rendering requirement + refresh slur_shape

The three slur refinements (dashed rendering, curve splitting, slur_shape
measured) lifted into the spec — Chapter 7 / Quality Metric Catalog only,
non-canonical, so no wire form and no companion-version move.

core_spec Ch7: req:layoutir:slur-curve extended — an authored non-Solid
SpanStyle line renders faithfully (the LineStyle rides the Curve, whose listing
gains the field); a slur spanning a system break splits into per-system
sub-curves (de Casteljau; first segment keeps the slur's provenance, the rest
synthesized continuations). Only the curvature-computing algorithm stays
forward-referenced out now (dash rendering no longer deferred).

quality_metric_catalog: the §slur_shape rationale and the notated-but-unrendered
open question refreshed to record slurs now render and are measured; the formula
(req:qmc:slur) is unchanged, so no catalog version move.

Revision-history row (Push 3); a Push-3 tranche in PASS12_RATIFICATION_LOG.md;
layout-ir DECISIONS cross-ref extended. Both specs build clean (latexmk
-xelatex, 0 undefined refs). No code change.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

crates/epiphany-layout-ir/DECISIONS.md

@@ -571,9 +571,15 @@ these are E1 implementation decisions for the Phase-F ratification pass:
 > `req:layoutir:resolved-primitives` in core spec Chapter 7 (§ResolvedLayoutIR)
 > — the struct listing now carries `strokes`/`curves` and the `Stroke`/`Curve`
 > shapes, and the RenderIR provenance requirement was widened to name all three
-> primitive kinds. The curvature *algorithm* and dash rendering stay
-> forward-referenced out. Non-canonical, so no wire/companion-version change
+> primitive kinds. Non-canonical, so no wire/companion-version change
 > (PASS12_RATIFICATION_LOG.md, schema-major-2 tranche).
+>
+> **Extended (Push 3, 2026-07-08):** the three E2 deferrals landed and
+> `req:layoutir:slur-curve` was extended — dashed/dotted lines render faithfully
+> (the `Curve` listing gains `line`), break-spanning slurs split into per-system
+> sub-curves (de Casteljau), and `slur_shape_penalty` is measured (only the
+> curvature *algorithm* stays forward-referenced out now). See the Push-3
+> tranche in PASS12_RATIFICATION_LOG.md and the engrave DECISIONS.
 
 The third pipeline primitive kind. Primitives were two parallel flat Vecs
 (`glyphs`, `strokes`) at each of the three IR stages; a `Curve` (four control

spec/PASS12_RATIFICATION_LOG.md

@@ -208,3 +208,30 @@ stays 0.6.0 — layout geometry is non-canonical.
 curve splitting (de Casteljau), and the `slur_shape` quality metric moving off
 `0.0`-by-construction — all Standard-tier / Push-3 work, named in the crate
 DECISIONS, none a Pass-13 ambiguity.
+
+## Push-3 tranche (2026-07-08) — slur rendering completion
+
+The three slur refinements the schema-major-2 Phase-F ratification deferred,
+landed and ratified. Layout-IR (Chapter 7) only, non-canonical — a
+ratify-as-implemented with **no wire form and no companion version move**
+(mirrors the schema-major-2 rendering tranche). Delivered as commits `c5173d2`
+(dashed rendering), `5869691` (curve splitting), `7d61271` (slur_shape
+measured).
+
+| Item | Disposition | Spec locus | Consumer |
+|---|---|---|---|
+| Dashed/dotted slur rendering | **adopt** — `req:layoutir:slur-curve` extended: an authored non-`Solid` `SpanStyle` line renders faithfully (the `LineStyle` rides the `Curve`, whose Ch7 listing gains the field); an implementation that defers the pattern must surface it, never silently render solid. The E2 `SlurLineStyleNotRendered` diagnostic is retired (the style is rendered, not deferred) | core_spec Ch7 §ResolvedLayoutIR (`req:layoutir:slur-curve`, `Curve` listing) | `epiphany-layout-ir` (`Curve.line`); `epiphany-render-svg` (`stroke-dasharray`) |
+| Curve splitting across systems | **adopt** — `req:layoutir:slur-curve` extended: a slur spanning a system break splits into per-system sub-curves by de Casteljau (first segment keeps the slur's provenance, the rest synthesized continuations under `req:layoutir:continuation-synthesis`), replacing E2's draw-whole-in-start-system floating end | core_spec Ch7 §ResolvedLayoutIR (`req:layoutir:slur-curve`) | `epiphany-engrave` (casting `curve_fate`, `sub_cubic`) |
+| slur_shape measured | **adopt (implement pinned formula)** — `slur_shape_penalty` moves off its `0.0` placeholder to the catalog's pinned `req:qmc:slur` formula (arc ratio ρ = apex/chord against the `[0.08, 0.25]` band). The Quality Metric Catalog's §`slur_shape` rationale and the notated-but-unrendered open question are refreshed to record slurs now render and are measured; the formula is unchanged, so no catalog version move | quality_metric_catalog §`slur_shape_penalty` (`req:qmc:slur`, rationale) | `epiphany-engrave` (`quality.rs::slur_shape_raw`) |
+
+**Version movements.** None: core spec Ch7 `req:layoutir:slur-curve` extended +
+the `Curve` listing gains `line`; a revision-history row (Push 3); the Quality
+Metric Catalog rationale refreshed (no formula change). Operation Catalog stays
+0.7.0, Binary Format 0.6.0, Quality Metric Catalog 0.2.0 — all non-canonical /
+formula-stable.
+
+**Deferred (documented, not open candidates).** Kind-differentiated slur
+appearance (Phrase/Editorial's own line, distinct from the SpanStyle dash),
+duration-aware slur height (would pull the clamped short/long slurs back into
+the shallow-arc band), collision-aware slur reshaping (the Standard-tier
+`slur_shape` driver) — all Standard-tier work.

spec/core_spec.tex

@@ -9289,6 +9289,10 @@ pub struct Curve {
     pub thickness: StaffSpace,
     pub layer: i32,
     pub style: GlyphStyle,
+
+    /// The line pattern the renderer strokes the path with
+    /// (a slur's authored `SpanStyle.line`): solid, dashed, or dotted.
+    pub line: LineStyle,
 }
 \end{lstlisting}
 
@@ -9333,19 +9337,24 @@ pub struct Curve {
 
 \begin{requirement}
   \label{req:layoutir:slur-curve}
-  \textbf{Minimal-tier slur rendering (ratified schema-major-2,
-  Phase~F).} A \texttt{Slur} (\ref{sec:graph:slurs}) \MUST{} render
+  \textbf{Slur rendering (ratified schema-major-2, Phase~F; extended
+  Push~3).} A \texttt{Slur} (\ref{sec:graph:slurs}) \MUST{} render
   as a cubic-B\'ezier \texttt{Curve} arcing between its two endpoint
   event columns, honoring an authored \texttt{CurvatureOverride}
   (direction and apex height) when present and choosing them
   otherwise. A slur whose endpoint does not resolve to a column on a
   single staff of one region draws \emph{no} curve: a traced anchor
   preserves its provenance rather than a floating arc. An authored
-  non-\texttt{Solid} \texttt{SpanStyle} line (dashed, dotted) \MAY{}
-  be deferred to a higher tier, but \MUST{} be surfaced (a layout
-  diagnostic), never silently rendered solid. The curvature-computing
-  algorithm and the dash rendering are engraving-specification
-  concerns (\ref{sec:layoutir:forward}).
+  non-\texttt{Solid} \texttt{SpanStyle} line (dashed, dotted) is
+  rendered faithfully as that pattern (its \texttt{LineStyle} rides
+  the \texttt{Curve}); an implementation that instead defers the
+  pattern \MUST{} surface the deferral (a layout diagnostic), never
+  silently rendering solid. A slur whose span crosses a system break
+  \MUST{} split into per-system sub-curves --- the first carrying the
+  slur's provenance, the rest engraver-synthesized continuations
+  (\ref{req:layoutir:continuation-synthesis}) --- rather than drawing
+  whole in one system. The curvature-computing algorithm remains an
+  engraving-specification concern (\ref{sec:layoutir:forward}).
 \end{requirement}
 
 \section{RenderIR (Interface Only)}
@@ -15507,6 +15516,19 @@ layouts they own versus inherit:
   moves --- an engrave-side ratify-as-implemented, mirroring the
   schema-major-1 Phase~F precedent.
   \\
+  \today & Layout IR (slur rendering completion, Push 3) &
+  The three slur refinements \ref{req:layoutir:slur-curve} deferred are
+  now landed and its requirement extended: an authored non-\texttt{Solid}
+  \texttt{SpanStyle} line renders faithfully (dashed / dotted --- the
+  \texttt{LineStyle} rides the \texttt{Curve}, whose listing gains the
+  field), a slur spanning a system break splits into per-system
+  sub-curves (de~Casteljau; first segment keeps the slur's provenance,
+  the rest synthesized continuations), and \texttt{slur\_shape\_penalty}
+  moves off its pinned $0.0$ to a real measurement (Quality Metric
+  Catalog \sectionsc{slur\_shape\_penalty} rationale refreshed; formula
+  unchanged, no version move). Layout geometry stays non-canonical --- no
+  wire form, no companion version moves.
+  \\
   \bottomrule
 \end{longtable}
 

spec/quality_metric_catalog.tex

@@ -601,18 +601,19 @@ all} and claims no conformance tier (the core's \texttt{Stub} tier).
 
 \begin{openquestion}
 \textbf{The notated-but-unrendered honesty edge.} A score whose
-\emph{source} notates slurs, engraved by a solver that draws no slur
-geometry, scores $\texttt{slur\_shape\_penalty} = 0.0$ under this rule ---
-the axis sees no drawn slurs and finds nothing to penalize, even though
-the output is arguably \emph{worse} than a badly-drawn slur. v0.1
-deliberately pins vacuous-$0.0$: the metric axes evaluate the geometry the
-solver produced, and \emph{rendering completeness} --- whether notated
+\emph{source} notates geometry a solver does not draw scores
+vacuous-$0.0$ on that axis under this rule --- the axis sees nothing
+drawn and finds nothing to penalize, even though the output is arguably
+\emph{worse} than a badly-drawn one. The metric axes evaluate the geometry
+the solver produced, and \emph{rendering completeness} --- whether notated
 content is realized at all --- is governed by constraint families and
 visual acceptance testing, not by the quality metrics. Should a future
 revision instead score notated-but-unrendered geometry classes at the
 worst value, so that the metric vector cannot flatter an incomplete
 renderer? Resolving this requires a normative definition of ``notated
 content that demands drawn geometry,'' which does not exist yet.
+\emph{Slurs no longer instance this edge} (they render and are measured,
+schema-major-2); it persists for still-logical-only classes such as beams.
 \end{openquestion}
 
 \section{Normalization Form}
@@ -814,10 +815,14 @@ The anchor makes a semicircular slur ($\rho = 0.5$, $\mathit{raw}_u =
 0.25$) exactly worst-tolerable, and a completely flat slur ($\rho = 0$,
 $\mathit{raw}_u = 0.08$) roughly a third of the way to failing.
 
-The v0.1 reference pipeline draws no slur geometry (slurs exist logically,
-not as curves), so this axis evaluates to $0.0$ today under the
-vacuous-geometry rule --- the definition is pinned now so that the first
-implementation to draw slurs is measured from its first release.
+The implementation now \emph{draws} slurs as cubic-B\'ezier curves and
+measures this axis directly (schema-major-2 rendering; the first
+slur-drawing release, as the pinned definition anticipated). A layout with
+no drawn slur curve still evaluates to $0.0$ under the vacuous-geometry
+rule. A tier that draws the ideal shallow arc for every slur measures $0$
+on this axis; a fixed-height engraver scores non-zero on slurs whose span
+pushes the arc ratio outside the $[0.08, 0.25]$ band (a very short or very
+long slur), which a duration-aware height corrects.
 \end{rationale}
 
 \section{\texttt{beam\_slope\_penalty}}