Re: Numerical instability in extracting base B digits of the fractional

Georgi Guninski on Thu, 22 Feb 2024 13:36:22 +0100

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Re: Numerical instability in extracting base B digits of the fractional part of real

To: pari-dev@pari.math.u-bordeaux.fr
Subject: Re: Numerical instability in extracting base B digits of the fractional part of real
From: Georgi Guninski <gguninski@gmail.com>
Date: Thu, 22 Feb 2024 14:35:54 +0200
References: <CAGUWgD9jh04yWKo8gnd=oT8sxt---hQiq65tGc0cM6Mxnk3wdw@mail.gmail.com> <Zc9EKwc0OJ8gF/b6@seventeen> <CAGUWgD9R94BGzucES2RMAkakRr8z0yygJrAm-ontN-uWe0Pn+g@mail.gmail.com> <Zc+InbDj44/YHxrK@seventeen> <CAGUWgD8tZP-8T1jStNjMCAqG59QNRfNAJaMCNQYq+q_BV42_hA@mail.gmail.com> <CAGUWgD-7uEpNhrnvzyxhD1DpOoDwGHoJcTJ53+Es32oSwkO5yQ@mail.gmail.com> <ZdclbECAhM45E+dD@seventeen>

Bugs me both constants have exact decimal representation and when I
display them on screen I get the exact decimal value with ?zero?
epsilon:
? 0.33
%1 = 0.33000000000000000000000000000000000000

Does this mean I can't trust the decimal form?

Follow-Ups:
- Re: Numerical instability in extracting base B digits of the fractional part of real
  - From: "Ruud H.G. van Tol" <rvtol@isolution.nl>

References:
- Numerical instability in extracting base B digits of the fractional part of real
  - From: Georgi Guninski <gguninski@gmail.com>
- Re: Numerical instability in extracting base B digits of the fractional part of real
  - From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
- Re: Numerical instability in extracting base B digits of the fractional part of real
  - From: Georgi Guninski <gguninski@gmail.com>
- Re: Numerical instability in extracting base B digits of the fractional part of real
  - From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
- Re: Numerical instability in extracting base B digits of the fractional part of real
  - From: Georgi Guninski <gguninski@gmail.com>
- Re: Numerical instability in extracting base B digits of the fractional part of real
  - From: Georgi Guninski <gguninski@gmail.com>
- Re: Numerical instability in extracting base B digits of the fractional part of real
  - From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>

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