math/big: better initial guess for nat.sqrt
The proposed change introduces a better initial guess which is closer to the final value and therefore converges in fewer steps. Consider for example sqrt(8): previously the guess was 8, whereas now it is 4 (and the result is 2). All this change does is it computes the division by two more accurately while it keeps the guess ≥ √x.
Change-Id: I917248d734a7b0488d14a647a063f674e56c4e30
GitHub-Last-Rev:
c06d9d4876c8e7d6739f0e4b687e370fe1e9aad7
GitHub-Pull-Request: golang/go#28981
Reviewed-on: https://go-review.googlesource.com/c/163866
Run-TryBot: Brad Fitzpatrick <bradfitz@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Robert Griesemer <gri@golang.org>