Orkuncakilkaya
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Finish the unblocked "Math / Ease" half of #25: the fixed-point transcendentals deferred from #2. Vec.* stays blocked on the vec2 type in #1. - Math.exp, Math.log (natural), Math.pow — deterministic Q16.16 via two new prelude fns in emit_math_prelude: @fn_fx_exp2 (range-reduced 5th-order Taylor 2^f, then a clamped shift by the integer part) and @fn_fx_log2 (llvm.ctlz for the exponent + an atanh series on (m-1)/(m+1) for the mantissa). exp=2^(x·log2 e), log=log2(x)·ln2, pow=2^(b·log2 a). - Ease.elastic — ease-out elastic 2^(-10t)·sin((10t-0.75)·2pi/3)+1. - Pure integer IR, so bit-identical on every platform. Results must fit the Q16.16 range (|x| < 32768); larger magnitudes saturate (documented). Test selfhost/tests/transcend.ludic (registered in the self-host suite) + docs for all four. Reseeded; the C-free bootstrap fixpoint holds. All suites green (24 self-host, 45 regression, 29 tool). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
900 B
900 B
| id | name | category | kind | tokens | sig | tip | order | ns | member |
|---|---|---|---|---|---|---|---|---|---|
| math-exp | Math.exp | math | namespace-method | Math.exp | Math.exp(x) -> fixed | e raised to the power x. | 29 | Math | exp |
Returns ex (the natural exponential), computed in Q16.16 as 2x·log₂e through a range-reduced integer polynomial — so it is bit-identical on every platform, the same guarantee the rest of the runtime gives. Pair it with Math.log for exponential decay and growth: cooldowns that ease off, difficulty ramps, or a value that relaxes toward a target. The result must land inside the fixed-point range (magnitudes below 32768), so keep x under about 10; larger exponents saturate.
program Demo {
handler Step phase Update {
let remaining = Math.exp(0.0 - decay * elapsed) # smooth decay 1 -> 0
}
}