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>
895 B
895 B
| id | name | category | kind | tokens | sig | tip | order | ns | member |
|---|---|---|---|---|---|---|---|---|---|
| math-log | Math.log | math | namespace-method | Math.log | Math.log(x) -> fixed | The natural logarithm of x. | 30 | Math | log |
Returns the natural logarithm ln(x) for x > 0, computed in Q16.16 from a deterministic integer log₂ (bit-scan for the exponent, a short series for the mantissa) scaled by ln 2 — bit-identical on every platform. It is the inverse of Math.exp: reach for it to turn multiplicative growth into a straight line — score-to-level curves, logarithmic difficulty, decibel-style volume. Non-positive inputs are out of domain and saturate to a large negative value rather than returning a meaningful number.
program Demo {
handler Step phase Update {
let level = Math.floor(Math.log(score)) # diminishing returns on score
}
}