Answer exact results past the range of a double, such as 2^1200 (closes #16)

`2^1200` was refused although the calculator computed it exactly: writing a result went through a float64 and refused anything outside a double's range. An exact result under the 4096-bit limit is now written from its exact value, rounded to 17 significant digits past that range, and a fractional power of such a number is computed by first bringing its base into range with square roots taken from the exact value. Results computed in float64 must still be normal doubles; past the 4096-bit limit is still refused. Disclosures: `1e-310` is answered again, reversing a call made in PR 11; a fractional power carries `math.Pow`'s rounding, which for a large base can reach the last digits shown. Model: opus-5-5
2026-09-29 09:56:54 +02:00
parent 397fc95149
commit 0b9121a806
5 changed files with 140 additions and 44 deletions
@@ -27,6 +27,9 @@ with no deprecation warning.

 # Completed Steps

+- 2026-09-29 Exact results past the range of a double, such as `2^1200`,
+  are written to 17 significant digits instead of being refused, and a
+  fractional power of such a number, such as `(2^1200)^0.5`, is answered
 - 2026-09-29 `POST`, `GET` and `DELETE` on a chat's webhooks, under
  `/api/v1/chats/{id}/webhooks`, kept in `$DATA_DIR/webhooks.json`
 - 2026-09-29 `GET` and `POST /api/v1/chats/{id}/messages`: a chat's