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Brian Kessler 85f4051731 math/big: implement Atkin's ModSqrt for 5 mod 8 primes
For primes congruent to 5 mod 8 there is a simple deterministic
method for calculating the modular square root due to Atkin,
using one exponentiation and 4 multiplications.

A. Atkin.  Probabilistic primality testing, summary by F. Morain.
Research Report 1779, INRIA, pages 159–163, 1992.

This increases the speed of modular square roots for these primes
considerably.

name                old time/op  new time/op  delta
ModSqrt231_5Mod8-4  1.03ms ± 2%  0.36ms ± 5%  -65.06%  (p=0.008 n=5+5)

Change-Id: I024f6e514bbca8d634218983117db2afffe615fe
Reviewed-on: https://go-review.googlesource.com/99615
Reviewed-by: Robert Griesemer <gri@golang.org>
2018-05-30 16:28:46 +00:00
.github github: update Pull Request template 2018-02-21 02:07:46 +00:00
api syscall: introduce Pointer type and use it instead of uintptr 2018-04-18 08:50:42 +00:00
doc doc: clarify sentence 2018-05-24 21:37:42 +00:00
lib/time all: use HTTPS for iana.org links 2018-02-13 18:36:48 +00:00
misc misc/android: forward SIGQUIT to the process running on the device 2018-05-23 18:18:39 +00:00
src math/big: implement Atkin's ModSqrt for 5 mod 8 primes 2018-05-30 16:28:46 +00:00
test cmd/compile: update WBLoads during deadcode 2018-05-29 17:45:36 +00:00
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.gitignore .gitignore: ignore src/cmd/dist/dist 2017-10-28 21:55:49 +00:00
AUTHORS A+C: update email address 2018-04-14 19:28:37 +00:00
CONTRIBUTING.md all: restore changes from faulty merge/revert 2018-02-12 20:13:59 +00:00
CONTRIBUTORS C: add Iskander Sharipov's individual CLA mail 2018-04-16 04:49:46 +00:00
favicon.ico website: recreate 16px and 32px favicon 2016-08-25 15:43:32 +00:00
LICENSE doc: revert copyright date to 2009 2016-06-01 22:40:04 +00:00
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