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Bill Allombert on Mon, 11 Sep 2023 13:55:21 +0200
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Re: Power (^) function speed depending on argument types
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- To: pari-users@pari.math.u-bordeaux.fr
- Subject: Re: Power (^) function speed depending on argument types
- From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
- Date: Mon, 11 Sep 2023 13:50:25 +0200
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On Mon, Sep 11, 2023 at 01:05:27PM +0200, Denis Simon wrote:
> Hi,
>
> what we learn with this example, is that the function
> (x) -> x^(1/5)
> can increase the precision of x when x is a t_REAL.
In this instance it is the addition of a small t_REAL with a large exact integer
that cause the precision increase.
? precision(Pi)
%1 = 38
? precision(100+Pi)
%2 = 57
x^(1/5) role here is that it keeps the t_REAL small while the integer gets larger.
? precision((100+Pi)^(1/5))
%12 = 57
? precision(100+(100+Pi)^(1/5))
%13 = 77
Cheers,
Bill.