Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]


Groups > comp.lang.python > #50740

Re: Floating point minimum and maximum exponent values

Path csiph.com!v102.xanadu-bbs.net!xanadu-bbs.net!feeder.erje.net!eu.feeder.erje.net!newsfeed.freenet.ag!news2.euro.net!newsgate.cistron.nl!newsgate.news.xs4all.nl!post.news.xs4all.nl!not-for-mail
Return-Path <rosuav@gmail.com>
X-Original-To python-list@python.org
Delivered-To python-list@mail.python.org
X-Spam-Status OK 0.004
X-Spam-Evidence '*H*': 0.99; '*S*': 0.00; '16,': 0.03; 'one?': 0.05; 'correct.': 0.07; 'float': 0.07; 'exp': 0.09; 'expecting': 0.16; 'from:addr:rosuav': 0.16; 'from:name:chris angelico': 0.16; 'infinity': 0.16; 'marco': 0.16; 'nan': 0.16; 'subject:values': 0.16; 'zero,': 0.16; 'wrote:': 0.18; 'all,': 0.19; '>>>': 0.22; '(in': 0.22; 'skip:e 30': 0.24; 'values': 0.27; 'header:In-Reply- To:1': 0.27; 'message-id:@mail.gmail.com': 0.30; '>>>>': 0.31; 'piece': 0.31; 'question:': 0.31; 'this.': 0.32; 'info': 0.35; 'received:google.com': 0.35; 'combination': 0.36; 'minimum': 0.38; 'to:addr:python-list': 0.38; 'pm,': 0.38; 'to:addr:python.org': 0.39; 'reserved': 0.61; 'such': 0.63; 'maximum': 0.63; 'jul': 0.74; 'technically': 0.84; '2013': 0.98
DKIM-Signature v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=mime-version:in-reply-to:references:date:message-id:subject:from:to :content-type; bh=FyETb1tWJSH5dKqbbhDV7Sdsi/7KHoJupZV7IBFgV4k=; b=wvxOs/IWSiUudsbweXhJjlFLDY2YBiLCmG0lTcw0ns5WA+UgAzAJxMKGYpmsQjuiwW H9EaRrCukn0w72x8zuS5dwu9bmJJqDMxfRKOjfk33MasmHssnIVHmdqE5RSfgDLf04+7 Hx/wdmu5a18G89IiFB16IGiN3T83i2CW/yOX3zKE2oOhQocqh1G0VeXhgDIvpRJMmZP7 gSpDU3GADHOMPw9IjkdbQxWsrgrqVbRCtnWS5DJJERcC6GrBkhvwERm/IjfA/J4l9d/P mF+yEjtRG9O+QCFENqGJ7iJ4U7B0VCdoKyM4rp/e3IUvycXXjSvdn2nOGcJ9+I/GC2JB UviA==
MIME-Version 1.0
X-Received by 10.52.93.106 with SMTP id ct10mr272815vdb.83.1373976265711; Tue, 16 Jul 2013 05:04:25 -0700 (PDT)
In-Reply-To <ks3bl6$g8o$1@speranza.aioe.org>
References <ks3bl6$g8o$1@speranza.aioe.org>
Date Tue, 16 Jul 2013 22:04:25 +1000
Subject Re: Floating point minimum and maximum exponent values
From Chris Angelico <rosuav@gmail.com>
To python-list@python.org
Content-Type text/plain; charset=ISO-8859-1
X-BeenThere python-list@python.org
X-Mailman-Version 2.1.15
Precedence list
List-Id General discussion list for the Python programming language <python-list.python.org>
List-Unsubscribe <http://mail.python.org/mailman/options/python-list>, <mailto:python-list-request@python.org?subject=unsubscribe>
List-Archive <http://mail.python.org/pipermail/python-list/>
List-Post <mailto:python-list@python.org>
List-Help <mailto:python-list-request@python.org?subject=help>
List-Subscribe <http://mail.python.org/mailman/listinfo/python-list>, <mailto:python-list-request@python.org?subject=subscribe>
Newsgroups comp.lang.python
Message-ID <mailman.4768.1373976274.3114.python-list@python.org> (permalink)
Lines 27
NNTP-Posting-Host 2001:888:2000:d::a6
X-Trace 1373976274 news.xs4all.nl 15916 [2001:888:2000:d::a6]:57606
X-Complaints-To abuse@xs4all.nl
Xref csiph.com comp.lang.python:50740

Show key headers only | View raw


On Tue, Jul 16, 2013 at 9:43 PM, Marco <m.b@gmail.com> wrote:
> Hi all, why the maximum and minimum exp values are 1024 and -1021?:
>
>>>> sys.float_info
> sys.float_info(max=1.7976931348623157e+308, max_exp=1024, max_10_exp=308,
> min=2.2250738585072014e-308, min_exp=-1021, min_10_exp=-307, dig=15,
> mant_dig=53, epsilon=2.220446049250313e-16, radix=2, rounds=1)
>
> The values (in double precision) 0 and 2047 are reserved for zero, infinity
> and NaN (in combination with the fraction), so I was expecting -1022 and
> 1023...

Piece of extreme oddity, this.

>>> help(sys.float_info)
... lots of other info ...
 |  max_exp
 |      DBL_MAX_EXP -- maximum int e such that radix**(e-1) is representable
 |
 |  min_exp
 |      DBL_MIN_EXP -- minimum int e such that radix**(e-1) is a
normalized float
...

So it's technically correct. Followup question: Why is it off by one?

ChrisA

Back to comp.lang.python | Previous | NextPrevious in thread | Next in thread | Find similar | Unroll thread


Thread

Floating point minimum and maximum exponent values Marco <m.b@gmail.com> - 2013-07-16 13:43 +0200
  Re: Floating point minimum and maximum exponent values Chris Angelico <rosuav@gmail.com> - 2013-07-16 22:04 +1000
  Re: Floating point minimum and maximum exponent values Christian Heimes <christian@python.org> - 2013-07-16 14:46 +0200
  Re: Floating point minimum and maximum exponent values Serhiy Storchaka <storchaka@gmail.com> - 2013-07-16 20:21 +0300

csiph-web