feat(stdlib): Math.exp/log/pow + Ease.elastic transcendentals (issue #25)
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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>
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docs/language/ease/ease-elastic.md
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docs/language/ease/ease-elastic.md
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---
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id: ease-elastic
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name: Ease.elastic
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category: ease
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kind: namespace-method
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tokens: Ease.elastic
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sig: Ease.elastic(t) -> fixed
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tip: Ease out with a springy wobble.
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order: 5
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ns: Ease
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member: elastic
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---
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Returns an ease-out that shoots past <code>1.0</code> and wobbles around it a few times with shrinking amplitude before settling — a spring released under tension. The overshoot comes from a decaying <code>2<sup>-10t</sup></code> envelope on a sine, all in Q16.16, so it is deterministic and bit-identical on every platform. Great for UI that snaps in with personality: a panel that springs open, a picked-up item that jiggles, a selection that bounces to place.
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```ludic
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program Demo {
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handler Step phase Update {
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let scale = Math.lerp(0.0, 1.0, Ease.elastic(progress))
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}
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}
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```
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