On Sat, 26 Apr 2025 17:22:09 GMT, Chen Liang <li...@openjdk.org> wrote:

>> src/java.base/share/classes/java/math/BigInteger.java line 2721:
>> 
>>> 2719:             if (!pow.equals(ONE)) {
>>> 2720:                 for (int i = 0; i < blockLen; i++)
>>> 2721:                     pow = pow.multiply(pow);
>> 
>> Majority of the time we have `blockLen == maxExpLen`. We should cache that 
>> pow-to-maxExpLen result too, if we have `maxExpLen >= nLen` initially. Maybe 
>> also calculate power-to-`nLen % maxExpLen` as that will be used in the final 
>> round of the loop.
>
> No, pow is always being modified, ignore this, my bad.

> Majority of the time we have `blockLen == maxExpLen`. We should cache that 
> pow-to-maxExpLen result too, if we have `maxExpLen >= nLen` initially. Maybe 
> also calculate power-to-`nLen % maxExpLen` as that will be used in the final 
> round of the loop.

I don't get the point, since `pow` changes its value at every iteration and 
here the property of the "power of a power" is used, i.e. `pow^(2^n) == 
(((pow^2)^2)...)^2` `n` times to shift the exponent of the power, so I don't 
see how caching pow-to-maxExpLen would be useful.

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PR Review Comment: https://git.openjdk.org/jdk/pull/24690#discussion_r2061511811

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