From:

Date:

November 1, 2021 08:53Subject:

Re: how do I turn a real into and array of Integers?Message ID:

CADZSBj3938-DjpTWJmzUg_Hy1H0r5qXY-Fq3nY8DypnHae=JVw@mail.gmail.comOn Mon, Nov 1, 2021 at 2:35 PM ToddAndMargo via perl6-users < perl6-users@perl.org> wrote: > On 10/31/21 19:39, Sean McAfee wrote: > > > (2.FatRat, { $_ / 2 + 1 / $_ } ... (* - *).abs < 1e-100).tail > > 1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641572735013846230912297024924836055850737212644121497099935831413222665927505592755799950501152782060571 > > > Awesome! > Note that what you have there is a 200-decimal-digit (around 658-bit) precision representation of the square root of 2 - which is quite different to the (53-bit precision) Real sqrt(2). If you obtained a 200-decimal-digit representation of that original Real, you'd end up with: 1.4142135623730951454746218587388284504413604736328125 That has, of course, significantly fewer digits than 200 - the reason being that the missing (147) additional digits are all zeros. That is, 1.4142135623730951454746218587388284504413604736328125 is an exact decimal representation of the actual precise value held by the Real sqrt(2). From that it can be established that the exact rational representation of the Real sqrt(2) is 6369051672525773/4503599627370496. I don't know how all of that could be done in raku. In perl: C:\>perl -le "printf '%.200g', sqrt 2;" 1.4142135623730951454746218587388284504413604736328125 C:\>perl -MMath::BigRat -le "print Math::BigRat->new(Math::BigFloat->new('1.4142135623730951454746218587388284504413604736328125'));" 6369051672525773/4503599627370496 Anyway ... this is probably not all that relevant ... especially if you were actually just seeking a higher-precision calculation of sqrt(2) than the Real provides. Cheers, RobThread Previous | Thread Next

- how do I turn a real into and array of Integers? by ToddAndMargo via perl6-users
- Re: how do I turn a real into and array of Integers? by Andinus via perl6-users
- Re: how do I turn a real into and array of Integers? by Sean McAfee
- Re: how do I turn a real into and array of Integers? by ToddAndMargo via perl6-users
- Re: how do I turn a real into and array of Integers? by ToddAndMargo via perl6-users
- Re: how do I turn a real into and array of Integers? by Kevin Pye
- Re: how do I turn a real into and array of Integers? by ToddAndMargo via perl6-users
- Re: how do I turn a real into and array of Integers? by Sean McAfee
- Re: how do I turn a real into and array of Integers? by ToddAndMargo via perl6-users
**Re: how do I turn a real into and array of Integers?**by sisyphus- Re: how do I turn a real into and array of Integers? by Sean McAfee
- Re: how do I turn a real into and array of Integers? by Alice
- Re: how do I turn a real into and array of Integers? by Shlomi Fish
- Re: how do I turn a real into and array of Integers? by ToddAndMargo via perl6-users
- Re: how do I turn a real into and array of Integers? by Bruce Gray
- Re: how do I turn a real into and array of Integers? by sisyphus
- Re: how do I turn a real into and array of Integers? by William Michels via perl6-users
- Re: how do I turn a real into and array of Integers? by Patrick R. Michaud
- Re: how do I turn a real into and array of Integers? by William Michels via perl6-users
- Re: how do I turn a real into and array of Integers? by ToddAndMargo via perl6-users

nntp.perl.org: Perl Programming lists via nntp and http.

Comments to Ask Bjørn Hansen at ask@perl.org | Group listing | About