unum: posit transcendental edge-case sweep#60
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Adds tests/lib/unum-edge (28 cases), the %unum analogue of complex-edge: - exact identities (exp0=1, cos0=1, sqt4=2, fact5=120, log1=0, acos1=0, ...) - sign (exp(-1)=1/e, atan(-1)=-pi/4) - NaR propagation (exp/sin/sqt/factorial of NaR -> NaR) - domain -> NaR (sqrt(-1)) - a posit8 cross-width spot (identity + NaR propagation) - large-argument breakdown / saturation, locked as DOCUMENTED limitations: exp(10)~21991 vs 22026; exp(50)/exp(100) saturate near maxpos; sin(10) blows up out of [-1,1] (no range reduction); log (atanh) holds up (log(100)~4.605). No bug found (the unum domain guards from the transcendental PR already hold); posits round-to-nearest-even so there is no rounding-mode axis to sweep. The large-arg cases are the #18 hazard made explicit, not asserted as correct. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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Follow-on to the edge-case work (stacked on #59). The
%unumanalogue ofcomplex-edge.tests/lib/unum-edge(28 cases, validated vs mpmath):exp0=1,cos0=1,sin0=0,tan0=0,log1=0,sqt0=0,sqt1=1,sqt4=2,fact0=1,fact5=120,atan0=0,asin0=0,acos1=0.exp(−1)=1/e,atan(−1)=−π/4(odd).exp/sin/sqt/factorialof NaR → NaR.sqrt(−1).exp(10)≈21991vs22026;exp(50)/exp(100)saturate near maxpos;sin(10)blows up out of [−1,1] (no range reduction);log(atanh form) holds up —log(100)≈4.605.No new bug (the domain guards from the transcendental PR already hold). Posits round-to-nearest-even, so unlike
%cplxthere's no rounding-mode axis to sweep. The large-arg cases make the #18 hazard explicit.🤖 Generated with Claude Code