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Implement the Vec.* half of #25 under the proper (de-abbreviated) name Vector, unblocking it with a self-contained value type instead of waiting on the full #1 type system. A Vector is two Q16.16 fixed components (x, y) packed into one i64 — a true by-value type that lives in a register and never allocates (reuses the new `long`/i64 support; llty maps `Vector` to i64). Fifteen operations, all deterministic fixed-point reusing fx_mul/fx_div/fx_lerp and the @fn_fx_* prelude: make/zero/x/y, add/sub/scale/dot, length/distance/normalize/lerp, rotate/angle/from_angle. New selfhost/emit_vector.ludic (wired into emit_ns_call + the frag list), the `Vector` primitive type in llty and the grammars/LSP/JetBrains tokens, docs (type-vector + 15 Vector.* pages + section), and a registered test. Reseeded; C-free fixpoint holds; all suites green (45/25/29); site + check.py OK. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
27 lines
1.2 KiB
Text
27 lines
1.2 KiB
Text
program T {
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entry {
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let a = Vector.make(3.0, 4.0)
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print(floor(Vector.x(a))) # 3
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print(floor(Vector.y(a))) # 4
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print(floor(Vector.length(a))) # 5 (3-4-5)
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let b = Vector.make(1.0, 2.0)
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let c = Vector.add(a, b)
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print(floor(Vector.x(c))) # 4
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print(floor(Vector.y(c))) # 6
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let d = Vector.sub(a, b)
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print(floor(Vector.x(d))) # 2
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print(floor(Vector.y(d))) # 2
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print(floor(Vector.dot(a, b))) # 11
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print(floor(Vector.distance(a, b))) # 2 (sqrt 8)
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print(floor(Vector.x(Vector.scale(a, 2.0)))) # 6
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let n = Vector.normalize(a)
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print(floor(Vector.length(n) * 1000)) # 999 (unit)
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print(floor(Vector.x(Vector.from_angle(0.0)) * 1000)) # 999 (cos 0)
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let r = Vector.rotate(Vector.make(1.0, 0.0), 1.5707963) # rotate 90 deg
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print(floor(Vector.y(r) * 1000)) # 999 (-> (0,1))
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print(floor(Vector.angle(Vector.make(0.0, 1.0)) * 1000)) # pi/2 -> 1570
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let m = Vector.lerp(Vector.zero(), Vector.make(10.0, 20.0), 0.5)
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print(floor(Vector.x(m))) # 5
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print(floor(Vector.y(m))) # 10
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}
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}
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