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>
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| id | name | category | kind | tokens | sig | tip | order | ns | member |
|---|---|---|---|---|---|---|---|---|---|
| math-inverse_lerp | Math.inverse_lerp | math | namespace-method | Math.inverse_lerp | Math.inverse_lerp(a, b, v) -> fixed | Find where a value sits between two endpoints as a 0..1 fraction. | 9 | Math | inverse_lerp |
The inverse of Math.lerp: given endpoints a and b and a value v, it returns the fraction (v - a) / (b - a) — 0.0 when v equals a, 1.0 when it equals b. 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 t to feed into another Math.lerp. The endpoints must differ, since equal ones would divide by zero.
Parameters:
a— the endpoint that maps to0.0b— the endpoint that maps to1.0v— the value to locate between them
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
}
}