feat(stdlib): namespaced standard library (issue #2)

Implement the bulk of the namespaced-stdlib proposal (workshopsoft/ludic#2):
156 namespace methods across Math, Text, List, Ease, Collide, World, Net,
Sys, Save, Mem, extended Screen, Color functions, extended Random, and Time.
All deterministic fixed-point; self-hosting (C-free bootstrap fixpoint holds).

Compiler (selfhost/):
- Math.*: sqrt/sin/cos/tan/atan2/asin/acos (fixed-point runtime prelude —
  bit-by-bit isqrt, 256-entry interpolated sine table, Ross atan2), plus
  hypot/dist/dist2/deg_to_rad/rad_to_deg/posmod/wrap/ping_pong/snapped/
  move_toward/smoothstep/lerp/remap/sign/floor/ceil/round.
- Text.* (complete): upper/lower/trim/repeat/pad, split/join/replace,
  and the libc-backed queries.
- List.* (complete): insert/remove_at/remove/sort plus the earlier ops.
- Ease.* (in/out/in_out/back/bounce) and Collide.* (rects/point_rect/
  circles/rect_circle).
- Phase 3: World/Net/Sys/Save namespaced over the bare builtins (byte-
  identical IR) and Mem.* (bytes/words/copy/fill/peek/poke).
- Screen.* extended (line/circle/fill_circle/triangle/fill_triangle via new
  runtime primitives; sprite/sprite_scaled aliases), Color.* functions,
  Random.* (value/int/sign), Time.* (frame/delta/elapsed/now — new
  game-loop frame counter).
- Fix a lexer bug: fixed-point literals with >4 fractional digits overflowed.

Docs & tooling:
- 129 new per-symbol doc pages; gen.py made data-driven (namespaces
  discovered from the docs, no hardcoded list); new check-impl.py enforces
  that every implemented namespace method / keyword / type / phase has a
  doc page, wired into `x test-tools`. Document the previously-undocumented
  keywords (break/continue/where/entry/new/public + and/or/not tokens).
- LSP: namespaced signature help (ns_method_sig) covering every namespace.

Tests: 12 new self-host/regression tests + a golden render for the drawing
primitives. All suites green (selfhost 21, regression 45, tools 29).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
This commit is contained in:
Orkun ÇAKILKAYA 2026-08-30 00:26:19 +03:00
parent ff15c4e01d
commit a38195128f
235 changed files with 24676 additions and 7762 deletions

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---
id: math-inverse_lerp
name: Math.inverse_lerp
category: math
kind: namespace-method
tokens: Math.inverse_lerp
sig: Math.inverse_lerp(a, b, v) -> fixed
tip: Find where a value sits between two endpoints as a 0..1 fraction.
order: 9
ns: Math
member: inverse_lerp
---
The inverse of <code>Math.lerp</code>: given endpoints <code>a</code> and <code>b</code> and a value <code>v</code>, it returns the fraction <code>(v - a) / (b - a)</code> — <code>0.0</code> when <code>v</code> equals <code>a</code>, <code>1.0</code> when it equals <code>b</code>. Use it to turn a raw quantity into a normalized amount: how full a health bar is, how far a timer has run, or the <code>t</code> to feed into another <code>Math.lerp</code>. The endpoints must differ, since equal ones would divide by zero.
Parameters:
- `a` — the endpoint that maps to `0.0`
- `b` — the endpoint that maps to `1.0`
- `v` — the value to locate between them
```ludic
program HealthFraction {
const MAX_HP: fixed = 200.0
var hp: fixed = 150.0
handler Draw phase Render {
let fraction = Math.inverse_lerp(0.0, MAX_HP, hp) # 0.75
}
}
```