feat(rebar): piece lengths for C9–C13 and P1·P2 so the 재료표 has no missing bars

A row can now carry pieces (length, count). C9, C10, C11 and C9·C11 사이 have U and 삿갓 pieces per position (3 loops each);
C12 and C13 have 일자 and ㄷ pieces per bar; P1 and P2 have their splice pieces, each counting all the bars. The
재료표 totals from the pieces, so no bar is left out. 개수 stays the 철근표 count; the piece count is kept beside it. The
삿갓 length h − 100 is an assumption (Q-K5) and is noted on the ④ screen.

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

src/core/rebar/summary.ts

@@ -15,7 +15,10 @@ export interface RebarRow {
   name: string;
   size: string;
   count: number;
+  /** One length (mm) when the row has a single length; null when the row has several (see pieces). */
   length: number | null;
+  /** Lengths of the bars in this row, as pieces: count bars of length (mm). Their sum is the row's total (재료표). */
+  pieces?: { length: number; count: number }[];
   note: string;
   /** 간격 (설계 간격, mm or text), 실간격 (cycle 묶음 기준), 위치, 방향, 형상, 근거. */
   spacing: string;
@@ -170,11 +173,16 @@ export function rebarSummary(
   };
   const shearNote = (label: string, xs: number[]) =>
     `${label}, 하부 U ${uRange(xs)}, 삿갓 ${capRange(xs)} (l_cap 추천안, Q-K5), 조각 ${xs.length * PIECES_PER_POSITION}`;
-  rows.push({ member: 'coping', name: 'C9', size: 'H25', count: shear.c9.length, length: null, note: shearNote('전단 좌 @250', shear.c9) });
-  rows.push({ member: 'coping', name: 'C10', size: 'H25', count: shear.c10.length, length: null, note: shearNote('전단 Level @300', shear.c10) });
-  rows.push({ member: 'coping', name: 'C11', size: 'H25', count: shear.c11.length, length: null, note: shearNote('전단 우 @250', shear.c11) });
+  // Each position has three 폐합, each with one 하부 U and one 삿갓 (6 pieces). Pieces: U and 삿갓 lengths at each position.
+  const loopPieces = (xs: number[]) => xs.flatMap((x) => [
+    { length: shearULength(x, L), count: 3 },
+    { length: capLength(x, L), count: 3 },
+  ]);
+  rows.push({ member: 'coping', name: 'C9', size: 'H25', count: shear.c9.length, length: null, pieces: loopPieces(shear.c9), note: shearNote('전단 좌 @250', shear.c9) });
+  rows.push({ member: 'coping', name: 'C10', size: 'H25', count: shear.c10.length, length: null, pieces: loopPieces(shear.c10), note: shearNote('전단 Level @300', shear.c10) });
+  rows.push({ member: 'coping', name: 'C11', size: 'H25', count: shear.c11.length, length: null, pieces: loopPieces(shear.c11), note: shearNote('전단 우 @250', shear.c11) });
   if (shear.between.length > 0) {
-    rows.push({ member: 'coping', name: 'C9·C11 사이', size: 'H25', count: shear.between.length, length: null, note: `기둥 사이, 양쪽 C10에서 안쪽으로 (추천안, Q-K2), 조각 ${shear.between.length * PIECES_PER_POSITION}` });
+    rows.push({ member: 'coping', name: 'C9·C11 사이', size: 'H25', count: shear.between.length, length: null, pieces: loopPieces(shear.between), note: `기둥 사이, 양쪽 C10에서 안쪽으로 (추천안, Q-K2), 조각 ${shear.between.length * PIECES_PER_POSITION}` });
   }
   if (nCol > 1) {
     warnings.push({ code: 'RB-M01', message: `다주형 ${nCol}기둥: C14는 T형 기준으로 두었습니다 (기둥마다 반복 규칙 미정, Q-K11).`, target: 'coping' });
@@ -183,8 +191,10 @@ export function rebarSummary(
   const side = copingSideBars(model.copingL * 1000, 41.288, 42.538);
   const hook = model.copingB * 1000 - 2 * 127 + 2 * SIDE_HOOK_LEG; // ㄷ body across the width + two legs
   const c12Range = side.c12.length ? `${Math.round(side.c12[0].straight)}–${Math.round(side.c12[side.c12.length - 1].straight)}` : '—';
-  rows.push({ member: 'coping', name: 'C12', size: 'H25', count: 4 * side.c12.length, length: null, note: `측면, 경사 하면에서 끊김, 일자 ${c12Range} (${2 * side.c12.length}) · ㄷ ${Math.round(hook)} (${2 * side.c12.length})` });
-  rows.push({ member: 'coping', name: 'C13', size: 'H25', count: 4 * side.c13.length, length: side.c13.length ? side.c13[0].straight : null, note: `측면, 끝면까지, 일자 (${2 * side.c13.length}) · ㄷ ${Math.round(hook)} (${2 * side.c13.length})` });
+  // Per bar: 2 일자 (straight) and 2 ㄷ (hook body + legs), so 4 bars per row position.
+  const sidePieces = (bars: { straight: number }[]) => bars.flatMap((b) => [{ length: b.straight, count: 2 }, { length: hook, count: 2 }]);
+  rows.push({ member: 'coping', name: 'C12', size: 'H25', count: 4 * side.c12.length, length: null, pieces: sidePieces(side.c12), note: `측면, 경사 하면에서 끊김, 일자 ${c12Range} (${2 * side.c12.length}) · ㄷ ${Math.round(hook)} (${2 * side.c12.length})` });
+  rows.push({ member: 'coping', name: 'C13', size: 'H25', count: 4 * side.c13.length, length: null, pieces: sidePieces(side.c13), note: `측면, 끝면까지, 일자 (${2 * side.c13.length}) · ㄷ ${Math.round(hook)} (${2 * side.c13.length})` });
   // C14 / C15 / C16 are derived from the model (코핑철근.md §7–8); the document's 38 / 11 / 22 and 3852 / 4070 / 4069 are checked in the tests.
   const L14 = model.copingL * 1000;
   const c14 = c14Bars(L14, model.copingRefTop, [...side.c12, ...side.c13], (x) => undersideAt(L14, x, model.endBottom, model.levelBottom));
@@ -197,8 +207,8 @@ export function rebarSummary(
 
   // Column (기둥철근.md · plan C4), P1 defaults
   const col = columnRebar(COLUMN_P1, mColumn);
-  rows.push({ member: 'column', name: 'P1', size: 'S32', count: col.mainP1, length: null, note: `외측 r ${col.r1}, 마디 ${col.p1Pieces.join(' / ')} (첫 마디에 갈고리 ${col.p1Hook}, 기둥철근.md §3.2)` });
-  rows.push({ member: 'column', name: 'P2', size: 'S32', count: col.mainP2, length: null, note: `내측 r ${col.r2}, 마디 ${col.p2Pieces.join(' / ')}` });
+  rows.push({ member: 'column', name: 'P1', size: 'S32', count: col.mainP1, length: null, pieces: col.p1Pieces.map((length) => ({ length, count: col.mainP1 })), note: `외측 r ${col.r1}, 마디 ${col.p1Pieces.join(' / ')} (첫 마디에 갈고리 ${col.p1Hook}, 기둥철근.md §3.2)` });
+  rows.push({ member: 'column', name: 'P2', size: 'S32', count: col.mainP2, length: null, pieces: col.p2Pieces.map((length) => ({ length, count: col.mainP2 })), note: `내측 r ${col.r2}, 마디 ${col.p2Pieces.join(' / ')}` });
   rows.push({ member: 'column', name: '주철근 커플러', size: 'D32용 (L150 Ø60)', count: col.couplers, length: 150, note: '@3000, P2는 +150 mm 상향 엇갈림' });
   const tieCouplerCount = col.p5Count + col.p4Count * 2;
   rows.push({ member: 'column', name: '띠철근 커플러', size: 'D19용 (L100 Ø40)', count: tieCouplerCount, length: 100, note: `단부 P5 1개(${col.p5Count}) · 기초안 P4 2개(${col.p4Count * 2}) 폐합용` });