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feat(stdlib): add Grid.* — tile geometry + A* pathfinding over the tilemap (#24)
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Grid.* operates on the Map tilemap (Map.size/Map.row): a cell is passable unless
it is out of bounds or holds the caller's `wall` tile (a char code, e.g. '#'), so
any impassable glyph works. Everything is integer and deterministic.

  - Grid.line(x0,y0,x1,y1) -> []Cell        Bresenham line cells (LOS/raycast base)
  - Grid.blocked(x,y,wall) -> bool          the shared passability test
  - Grid.line_of_sight(x0,y0,x1,y1,wall)    unobstructed straight line?
  - Grid.flood(x,y,wall) -> []Cell          4-connected reachable region (BFS)
  - Grid.a_star(x0,y0,x1,y1,wall) -> []Cell shortest 4-connected path (A*,
                                            Manhattan heuristic), empty if unreachable

The engine (runtime/native/grid.ludic, ~150 lines of Ludic, C-free) is spliced
into a game via core.ludic since it reads the tilemap runtime; returned Cell
slices are ordinary Ludic slices (`len` / `[i]`; each cell has `.x` `.y`).
Pathfinding lives under Grid rather than a `Path` namespace — that name is
already the filesystem-paths library (#10).

Verified against Python references: a 1500-case fuzzer over random maps agrees
exactly on A* path length (optimal, == BFS), flood-fill count, and line-of-sight.
examples/library/grid.ludic asserts the behaviour and is wired into `x test`
(now 61 passed); docs: a Grid section + 5 per-symbol pages, inventory/coverage
green. Seed reseeded; the C-free bootstrap fixpoint holds.

Scope: this lands the Grid.*/pathfinding half of #24. The ECS Query.* helpers
(count/first, and nearest/within which want a runtime spatial index) remain the
tracked follow-up the issue calls out as blocked.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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Orkun ÇAKILKAYA 2026-08-31 12:36:12 +03:00
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---
id: grid
title: Grid
order: 27
---
Tile geometry and pathfinding over the <a href="map"><code>Map</code></a> tilemap. A cell is passable unless it is out of bounds or holds the caller's <code>wall</code> tile (a char code, e.g. <code>'#'</code>), so any impassable glyph works. Everything is integer and deterministic — same map and query reproduce the same path every run. <a href="grid-line"><code>Grid.line</code></a>/<a href="grid-flood"><code>Grid.flood</code></a>/<a href="grid-a_star"><code>Grid.a_star</code></a> return <code>Cell</code> slices (index them with <code>len</code> / <code>[i]</code>; each cell has <code>.x</code> and <code>.y</code>).